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101,137,14,14,119,120,120,120,120,120,120,121,14,103,118,120,120,101,136,136,137,14,14,14,14,14,14,135,136,102,121,14,103,118,137,14,14,135,102,120,120,117,105,14,135,102,120,120,101,137,14,14,14,14,14,14,135,102,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,120,121,14,14,14,135,102,120,120,120,121,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,101,136,137,14,14,103,104,104,105,14,103,104,105,14,14,14,14,14,135,102,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,117,105,14,14,14,14,103,104,118,120,120,120,120,117,105,14,14,14,14,103,104,118,120,120,120,120,101,137,14,14,14,14,14,14,14,14,119,120,120,120,120,120,117,105,14,103,104,104,105,14,14,14,14,14,14,135,102,120,120,121,14,14,119,120,120,120,121,14,14,119,120,120,120,120,117,105,14,14,14,14,14,119,120,120,120,120,120,101,137,14,119,120,120,120,120,120,101,136,136,136,137,14,14,14,103,104,104,104,104,118,120,120,120,120,120,117,105,14,103,118,120,120,120,101,137,14,14,103,104,104,104,105,14,14,14,135,136,136,102,120,120,121,14,119,120,121,14,119,121,14,119,120,120,120,120,120,120,101,137,14,14,14,14,14,135,102,120,120,120,117,104,105,14,14,14,14,103,104,118,120,121,14,119,120,120,120,120,101,136,136,136,136,102,120,120,120,120,120,120,120,121,14,135,136,102,120,120,120,120,121,14,14,135,136,102,120,121,14,119,120,120,120,120,120,120,101,137,14,14,135,102,120,120,120,120,120,120,120,101,137,14,14,103,105,14,135,102,120,101,136,136,137,14,14,103,118,120,120,101,136,136,137,14,135,136,136,102,120,120,120,120,120,120,101,136,137,14,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,101,137,14,14,103,118,120,120,121,14,14,119,120,121,14,14,119,117,105,14,14,119,120,120,120,120,120,120,
137,14,14,103,118,120,120,120,120,101,136,137,14,119,120,120,120,121,14,14,14,14,103,104,104,105,14,14,14,135,137,14,135,137,14,14,14,14,119,120,120,120,121,14,14,135,136,136,137,14,14,103,104,104,105,14,14,135,102,101,136,137,14,135,102,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,101,136,102,120,117,105,14,14,14,119,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,101,137,14,14,14,103,118,120,120,117,104,118,120,117,104,104,104,105,14,14,135,136,136,136,136,136,137,14,103,118,120,120,120,120,120,120,120,117,105,14,14,103,118,120,120,120,120,120,120,120,117,104,105,14,103,118,120,120,120,101,136,136,137,14,14,103,104,104,104,104,105,14,119,120,120,120,120,120,120,117,104,118,120,120,117,104,104,104,104,105,14,14,119,120,120,121,14,14,119,120,120,120,121,14,14,135,136,102,120,120,120,121,14,103,104,104,104,118,120,101,136,136,136,137,14,14,119,120,120,120,120,101,137,14,14,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,121,14,14,103,118,120,120,120,117,104,105,14,14,14,14,119,120,120,121,14,135,102,121,14,119,121,14,119,120,120,120,120,101,136,137,14,14,103,104,105,14,14,119,120,120,120,120,120,121,14,103,104,104,118,120,120,120,121,14,119,120,120,120,120,121,14,14,14,14,135,136,102,120,120,120,120,101,137,14,14,14,119,136,102,120,120,121,14,14,14,14,135,136,137,14,135,136,102,120,120,120,101,137,14,14,14,14,135,102,120,120,120,120,120,120,121,14,14,103,118,121,14,14,135,136,137,14,14,14,14,103,118,120,120,101,137,14,14,14,14,14,14,14,119,120,120,120,120,101,136,137,14,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,135,136,136,137,14,14,103,118,120,120,101,137,14,14,135,136,137,14,103,118,120,117,105,14,119,120,120,120,120,120,120,
14,14,103,118,120,120,120,120,101,137,14,14,14,119,120,120,120,121,14,103,104,104,118,120,120,117,104,105,14,14,14,14,14,14,14,103,105,14,135,136,136,136,137,14,14,14,14,14,14,14,103,118,120,120,117,105,14,14,135,137,14,14,14,14,135,136,136,136,136,102,120,120,120,120,120,121,14,14,119,120,120,120,120,120,101,136,137,14,14,14,14,135,102,120,120,120,121,14,119,120,120,117,104,105,14,119,120,120,120,121,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,121,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,135,136,136,136,136,137,14,14,14,14,103,118,120,120,101,136,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,121,14,103,118,120,120,120,117,105,14,14,14,135,136,136,136,137,14,119,120,120,120,120,120,121,14,14,14,14,14,103,118,120,120,120,120,121,14,14,103,104,104,104,118,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,101,137,14,103,118,120,120,120,120,120,120,117,104,104,104,104,118,120,120,121,14,14,119,121,14,135,137,14,119,120,120,120,120,121,14,14,14,103,118,120,117,105,14,119,120,120,120,101,136,137,14,135,102,120,120,120,120,120,121,14,119,120,120,120,120,121,14,103,105,14,14,14,135,136,136,136,136,137,14,14,103,121,14,14,119,120,120,121,14,103,105,14,14,14,14,14,14,14,119,120,120,120,121,14,14,103,105,14,14,135,102,120,120,120,120,120,121,14,14,119,120,117,105,14,14,14,14,14,103,104,104,118,120,120,101,137,14,14,14,103,104,104,105,14,119,120,120,120,120,121,14,14,14,103,104,104,118,120,120,120,120,120,120,120,101,136,136,136,136,136,102,120,120,120,120,121,14,14,14,14,14,14,103,118,120,120,120,121,14,14,14,14,14,14,14,119,120,120,120,121,14,119,120,120,120,120,120,120,
104,104,118,120,120,120,120,101,137,14,14,14,103,118,120,120,120,121,14,119,120,120,120,120,120,120,120,117,104,104,105,14,14,14,103,118,121,14,14,14,14,14,14,14,14,14,103,104,104,104,118,120,120,120,120,117,105,14,14,14,14,103,105,14,14,14,14,14,14,135,136,136,136,136,136,137,14,103,118,120,120,120,120,101,137,14,14,14,103,105,14,14,119,120,120,101,137,14,119,120,120,120,120,121,14,135,102,120,120,117,105,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,104,104,104,104,105,14,103,118,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,101,136,136,136,137,14,14,14,14,14,14,14,14,103,104,104,118,120,120,101,137,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,136,137,14,14,119,120,120,121,14,119,120,120,120,120,120,117,104,105,14,14,14,14,14,14,14,119,120,120,120,120,120,121,14,103,104,104,104,118,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,103,118,120,120,120,121,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,119,121,14,14,14,14,119,120,120,120,101,137,14,103,104,118,120,120,120,117,104,118,120,120,101,137,14,14,14,14,135,102,120,120,120,120,121,14,135,102,120,120,101,137,14,119,117,105,14,14,14,14,14,14,14,14,14,103,118,117,105,14,119,120,120,121,14,119,117,104,104,104,104,104,104,104,118,120,120,101,137,14,103,118,117,105,14,14,119,120,120,120,120,120,121,14,103,118,120,120,117,104,104,105,14,14,135,136,136,136,102,101,137,14,14,103,104,118,120,120,117,104,118,120,120,120,101,137,14,103,104,118,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,135,102,120,120,120,117,104,104,104,104,104,104,118,120,120,120,120,121,14,103,104,104,104,104,104,118,120,120,120,121,14,119,120,120,120,120,120,120,
120,120,120,120,120,120,120,121,14,14,14,103,118,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,117,104,104,104,104,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,121,14,103,104,104,118,117,104,104,104,105,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,101,137,14,14,103,104,118,117,105,14,135,136,102,121,14,14,119,120,120,120,120,121,14,14,119,120,120,120,121,14,14,14,135,136,136,136,136,102,120,120,120,120,120,120,120,121,14,119,120,120,101,137,14,14,103,118,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,103,118,120,120,120,120,121,14,119,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,101,137,14,14,14,14,14,103,104,104,104,104,104,104,118,120,120,120,120,120,121,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,135,102,120,121,14,119,120,120,120,120,120,101,136,137,14,103,104,104,104,105,14,119,120,120,120,101,136,137,14,135,102,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,101,137,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,117,104,104,105,14,135,102,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,103,105,14,14,119,120,120,120,120,121,14,14,119,120,120,121,14,14,119,120,117,104,104,104,104,104,104,104,104,104,118,120,120,121,14,119,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,101,137,14,14,119,120,120,117,105,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,117,105,14,14,14,14,14,135,137,14,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,104,105,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,
120,120,120,120,120,120,101,137,14,14,14,135,102,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,102,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,117,104,105,14,14,14,103,104,104,104,104,118,120,120,101,136,137,14,14,103,118,120,120,120,121,14,14,14,135,137,14,14,135,136,136,136,136,137,14,14,119,120,120,120,117,104,105,14,14,14,14,14,14,119,120,120,120,120,120,120,120,117,104,118,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,103,118,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,121,14,14,14,103,118,120,120,120,120,120,120,121,14,14,103,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,104,104,105,14,14,135,136,137,14,119,120,120,120,120,120,121,14,14,14,119,120,120,120,121,14,135,102,120,101,137,14,14,14,14,135,136,136,136,136,136,136,136,136,137,14,135,136,136,136,136,102,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,101,137,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,121,14,14,119,120,120,121,14,103,118,120,120,120,120,120,120,101,136,102,101,137,14,103,118,117,105,14,119,120,120,120,120,117,105,14,119,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,101,137,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,121,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,117,104,104,104,105,14,14,14,14,103,118,120,120,120,120,101,136,102,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,120,117,104,104,118,120,117,105,14,14,135,102,120,120,120,101,136,102,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,
136,136,136,136,136,136,137,14,14,14,14,14,135,136,102,120,120,117,105,14,14,135,136,136,136,136,136,136,136,136,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,117,105,14,103,118,120,120,120,120,120,120,120,121,14,14,14,103,118,120,120,120,120,117,104,105,14,14,14,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,117,104,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,101,136,136,136,136,102,120,120,120,120,121,14,14,103,104,118,120,120,120,120,120,120,121,14,14,135,102,101,136,136,136,136,137,14,103,104,118,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,117,105,14,14,14,14,14,119,120,120,120,120,120,121,14,103,104,118,120,120,120,121,14,14,135,136,137,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,101,137,14,14,103,105,14,14,135,102,120,120,120,101,136,136,102,120,120,120,120,120,120,121,14,135,136,102,120,117,105,14,119,120,120,121,14,119,120,120,120,120,120,101,136,137,14,135,137,14,14,119,120,120,121,14,135,102,120,120,120,120,117,104,118,120,120,120,121,14,135,136,136,136,136,136,136,136,136,136,136,102,120,101,136,137,14,135,136,137,14,14,135,102,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,120,120,121,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,104,118,120,120,120,101,136,137,14,135,136,136,136,136,137,14,119,120,120,120,120,101,136,136,136,102,120,120,120,120,120,120,120,120,101,137,14,14,14,135,136,136,136,137,14,135,136,136,102,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,121,14,14,135,102,120,101,136,136,136,
14,14,14,14,14,14,14,14,103,104,105,14,14,14,119,120,120,120,117,105,14,14,14,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,120,117,104,118,120,120,120,120,120,120,120,120,117,104,104,104,118,120,120,120,120,120,120,120,117,105,14,14,14,103,104,105,14,103,104,104,105,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,136,136,136,136,136,136,137,14,119,120,120,121,14,14,14,14,135,136,102,120,120,117,104,104,118,120,120,120,120,120,120,120,120,117,105,14,14,135,137,14,14,14,14,14,14,135,136,136,102,120,120,120,120,120,120,117,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,117,105,14,14,103,104,118,120,101,136,136,102,117,104,118,120,120,120,120,120,117,105,14,14,14,14,14,103,104,104,104,104,104,104,104,104,105,14,14,14,103,104,104,104,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,135,136,136,137,14,14,103,118,117,105,14,14,119,120,120,101,137,14,14,135,136,102,120,120,120,120,121,14,14,14,119,120,101,137,14,119,120,120,121,14,119,120,120,120,120,120,121,14,14,14,14,14,14,103,118,120,120,121,14,14,135,136,102,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,14,14,14,14,14,119,120,121,14,14,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,121,14,14,14,135,136,102,120,120,120,120,120,120,121,14,14,14,14,14,14,14,14,14,14,14,14,14,119,120,120,120,121,14,119,120,120,120,120,120,101,136,102,120,117,105,14,14,135,136,137,14,14,14,
104,104,104,104,104,104,104,104,118,120,117,105,14,14,135,102,120,120,120,117,104,104,104,105,14,103,104,104,104,104,104,105,14,135,136,102,120,120,120,120,120,101,136,136,136,136,102,117,105,14,135,102,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,101,136,102,120,120,120,120,101,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,118,120,121,14,119,120,120,121,14,119,120,120,120,120,120,120,120,120,120,101,136,136,136,136,136,136,137,14,14,14,14,14,14,14,14,14,14,119,120,120,117,105,14,14,14,14,14,135,102,120,101,136,102,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,103,104,105,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,104,104,105,14,119,120,120,120,120,120,120,101,136,136,136,137,14,135,136,102,120,120,120,120,117,104,104,118,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,117,104,104,104,105,14,119,120,120,120,120,120,120,120,120,117,104,105,14,119,120,120,120,117,105,14,135,136,102,120,101,136,136,102,120,120,120,120,121,14,14,14,14,14,14,103,118,120,120,117,105,14,135,136,136,137,14,14,14,14,14,135,102,120,120,101,137,14,14,14,135,136,137,14,14,119,120,120,121,14,119,120,120,120,120,101,137,14,103,104,104,104,104,118,120,120,120,121,14,14,14,14,135,102,120,120,120,120,120,120,120,117,104,104,104,104,104,105,14,14,103,104,104,104,118,120,117,104,104,104,104,104,104,104,105,14,14,119,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,121,14,14,103,104,104,104,104,104,104,105,14,119,120,120,120,120,121,14,14,14,14,14,119,120,120,120,120,120,101,137,14,103,104,104,104,104,104,104,104,104,104,105,14,119,120,120,120,121,14,119,120,120,120,101,136,137,14,119,120,120,117,105,14,14,14,14,14,103,104,
120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,102,120,120,120,120,120,101,137,14,119,120,120,120,120,120,121,14,14,14,119,120,120,120,120,120,121,14,14,14,14,135,102,121,14,14,135,136,136,137,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,121,14,135,136,102,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,118,120,120,121,14,135,136,136,136,136,102,120,120,120,101,137,14,14,14,14,14,14,14,14,103,104,104,104,104,104,104,105,14,119,120,120,120,121,14,103,104,105,14,14,119,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,104,118,120,117,104,104,104,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,101,136,136,136,102,120,120,120,120,120,120,120,117,104,118,120,120,121,14,119,120,120,120,120,120,101,137,14,14,14,14,14,14,14,135,136,102,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,118,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,121,14,14,14,119,120,121,14,14,135,102,120,120,120,117,104,105,14,103,104,104,118,120,120,120,120,121,14,14,14,14,14,14,103,104,105,14,14,135,102,101,137,14,14,14,14,14,14,14,14,103,118,120,120,121,14,119,120,120,101,136,137,14,14,119,120,120,120,120,120,120,120,120,117,104,104,105,14,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,101,136,136,136,137,14,135,102,120,120,120,120,120,121,14,135,102,120,120,120,120,117,104,118,120,120,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,121,14,103,118,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,103,105,14,14,135,136,136,102,101,136,137,14,14,119,120,120,120,120,120,120,120,120,120,121,14,135,136,102,120,121,14,119,120,120,120,121,14,14,14,119,120,120,120,121,14,14,14,103,104,118,120,
120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,101,136,137,14,14,119,120,120,120,120,120,117,104,105,14,135,102,120,120,120,101,137,14,103,105,14,14,119,117,105,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,101,136,136,136,137,14,14,14,135,136,136,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,119,120,120,120,121,14,14,103,104,105,14,14,14,103,118,120,120,120,120,120,120,117,104,118,120,120,101,137,14,119,120,117,105,14,135,136,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,121,14,135,136,136,102,120,101,137,14,14,103,104,104,104,105,14,14,14,135,136,102,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,101,136,136,136,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,117,104,104,104,118,120,117,105,14,14,135,102,120,120,120,120,117,104,118,120,120,120,120,120,120,120,117,104,104,104,104,104,104,118,120,117,105,14,14,135,137,14,14,103,104,104,104,104,105,14,119,120,120,120,121,14,119,120,101,137,14,14,14,14,119,101,136,102,120,120,120,120,120,120,120,120,117,105,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,117,105,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,101,137,14,14,14,14,14,14,135,102,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,101,136,136,136,136,136,102,120,120,120,121,14,14,135,136,136,136,137,14,135,102,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,119,117,105,14,14,14,14,119,121,14,14,14,103,118,120,120,120,120,120,120,120,120,120,121,14,14,14,135,136,137,14,119,120,120,120,121,14,103,104,118,120,120,120,121,14,14,14,135,136,136,136,
120,120,120,120,120,120,120,101,136,102,120,120,120,117,105,14,135,136,136,136,137,14,14,14,103,118,120,120,120,120,120,120,120,121,14,14,135,136,136,136,137,14,14,119,117,105,14,135,102,117,105,14,14,14,103,104,118,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,101,136,136,136,136,136,136,136,136,102,120,120,120,120,120,120,120,101,137,14,103,104,105,14,14,135,102,120,120,121,14,103,118,101,137,14,103,104,118,120,120,120,120,101,136,136,102,120,120,120,101,137,14,14,119,120,120,121,14,14,14,14,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,118,120,101,136,102,120,120,120,120,120,101,137,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,135,102,121,14,14,103,118,120,120,120,117,104,105,14,14,14,135,102,120,120,120,120,120,120,121,14,135,136,102,120,120,101,136,136,137,14,14,14,14,14,14,135,136,102,101,136,102,120,120,120,101,136,136,137,14,103,118,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,102,120,101,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,103,118,120,120,120,120,121,14,119,120,120,120,117,104,118,101,137,14,14,103,105,14,135,137,14,135,102,120,120,120,120,120,120,120,120,117,104,105,14,14,119,120,120,120,120,120,120,120,101,136,102,120,121,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,121,14,14,103,104,104,105,14,14,119,120,120,120,101,137,14,14,135,136,102,120,120,120,120,120,120,120,121,14,14,14,14,14,135,102,120,120,117,105,14,14,14,14,14,14,14,14,135,136,102,120,120,120,120,121,14,119,120,120,120,120,117,104,118,120,117,104,104,105,14,119,117,104,105,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,135,102,120,120,121,14,135,102,120,120,120,120,117,104,105,14,14,14,14,14,
120,120,120,120,120,101,136,137,14,119,120,120,120,120,121,14,14,14,14,14,14,14,103,104,118,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,14,14,103,118,120,121,14,14,135,102,121,14,103,104,118,120,120,120,101,136,136,102,120,120,120,121,14,14,14,14,103,104,104,105,14,103,104,104,104,118,120,120,120,120,101,136,137,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,121,14,14,119,120,117,105,14,14,135,136,136,137,14,119,101,137,14,14,119,120,120,120,120,120,101,137,14,14,119,120,120,120,121,14,14,103,118,120,120,121,14,103,104,105,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,101,136,137,14,14,103,104,105,14,14,135,136,136,136,136,102,120,120,120,120,120,117,104,104,105,14,14,135,137,14,103,118,120,120,120,120,120,120,117,104,105,14,14,119,120,120,120,120,120,120,121,14,14,14,135,102,101,137,14,14,14,14,14,14,103,105,14,14,14,135,137,14,119,120,120,120,121,14,14,14,14,119,120,120,120,120,120,120,101,136,102,120,120,120,120,117,105,14,14,135,136,137,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,104,118,120,120,120,120,101,137,14,119,120,120,120,120,120,120,121,14,14,103,118,121,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,121,14,119,120,117,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,121,14,103,118,120,120,117,104,104,118,120,120,101,137,14,14,14,14,14,135,102,120,120,120,120,120,120,117,104,105,14,14,14,14,119,120,120,120,121,14,14,14,103,104,104,105,14,14,14,119,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,103,104,104,105,14,14,135,136,136,137,14,14,119,120,120,120,120,120,120,117,104,104,104,104,104,
120,120,120,120,101,137,14,14,14,119,120,120,120,120,117,105,14,14,14,103,104,104,118,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,103,104,104,118,120,120,121,14,14,14,135,137,14,119,120,120,120,120,101,137,14,14,135,102,120,120,121,14,103,104,104,118,120,120,121,14,119,120,120,120,120,120,120,120,101,137,14,14,14,103,105,14,103,104,104,104,118,120,120,120,120,120,120,120,121,14,103,118,120,120,117,105,14,14,14,14,14,14,119,121,14,14,103,118,120,120,120,120,101,137,14,14,103,118,120,120,120,117,104,104,118,120,120,120,121,14,119,120,117,104,104,105,14,14,135,136,136,102,101,136,136,136,136,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,101,136,137,14,14,14,103,118,120,117,105,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,117,105,14,14,14,14,119,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,117,104,105,14,14,135,137,14,14,103,104,104,104,104,118,117,104,105,14,14,14,14,119,120,120,120,117,104,104,104,104,118,120,120,101,136,136,136,137,14,119,120,120,120,120,120,121,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,101,136,136,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,120,101,137,14,103,118,120,117,104,104,104,105,14,14,119,120,120,120,120,120,120,120,120,120,117,104,118,120,120,120,120,120,120,120,120,121,14,135,102,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,121,14,119,120,120,120,120,120,120,120,120,101,137,14,14,103,104,105,14,14,119,120,120,120,120,120,120,120,120,117,104,104,105,14,119,120,120,120,117,105,14,103,118,120,120,117,104,105,14,135,136,102,101,136,137,14,135,102,120,120,120,120,101,136,102,120,120,120,121,14,119,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,117,105,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,
136,136,136,136,137,14,14,103,104,118,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,117,104,105,14,14,14,14,119,120,120,120,101,137,14,14,14,14,119,120,120,121,14,119,120,120,120,120,120,121,14,135,102,120,120,120,120,101,136,137,14,14,14,14,135,137,14,119,120,120,120,120,120,120,120,120,120,120,120,117,104,118,120,120,120,120,117,104,105,14,103,104,104,118,121,14,103,118,120,120,120,120,101,137,14,14,103,118,120,120,120,120,120,120,120,120,120,101,136,137,14,119,120,120,120,120,117,105,14,14,14,14,135,137,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,117,105,14,135,137,14,14,14,103,104,118,120,120,120,121,14,103,104,104,105,14,14,119,120,120,120,120,120,120,120,120,117,105,14,103,104,118,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,117,105,14,14,14,14,103,118,120,120,120,120,120,120,120,121,14,103,104,104,118,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,119,120,120,120,120,101,137,14,14,103,104,104,104,105,14,119,120,120,120,120,120,120,120,120,121,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,103,118,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,117,104,118,120,120,120,120,120,120,120,120,120,120,101,137,14,14,119,120,120,121,14,119,120,120,120,120,120,120,120,101,137,14,14,103,118,120,117,105,14,135,136,136,136,136,136,102,120,120,120,120,120,121,14,119,120,120,120,120,117,104,118,120,120,120,120,120,121,14,14,14,135,137,14,14,14,14,119,120,120,120,101,137,14,135,102,120,120,121,14,119,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,117,104,104,104,104,104,105,14,14,135,102,120,120,120,120,120,120,120,120,120,120,
14,14,14,14,14,14,103,118,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,101,136,136,136,102,120,120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,117,104,104,104,104,118,120,120,101,137,14,14,103,105,14,135,102,120,121,14,119,120,120,120,120,120,121,14,14,135,136,102,120,101,137,14,14,14,103,105,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,101,136,102,120,120,120,120,120,120,121,14,119,120,120,120,121,14,119,120,101,136,136,136,137,14,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,14,14,119,120,120,120,120,120,117,104,104,105,14,14,14,14,103,104,104,104,105,14,14,135,102,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,103,104,118,120,120,120,120,120,121,14,119,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,120,120,101,137,14,14,103,104,118,120,120,120,120,120,120,120,120,121,14,119,120,120,120,101,136,102,120,120,120,120,120,120,120,101,137,14,14,103,104,104,118,120,120,120,101,137,14,14,103,118,120,120,101,137,14,135,136,102,120,120,120,120,120,120,117,104,104,104,105,14,119,120,120,120,120,120,120,120,101,136,102,120,121,14,103,104,118,120,120,120,120,121,14,14,14,103,118,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,101,136,136,136,136,136,102,120,120,120,120,120,120,101,136,137,14,14,135,136,102,120,120,120,120,120,101,136,136,102,120,101,136,136,137,14,14,103,118,120,101,137,14,119,120,120,120,101,136,136,136,137,14,14,103,118,120,120,120,121,14,14,14,14,14,14,14,135,102,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,103,104,104,118,120,120,120,121,14,14,14,119,120,120,121,14,135,136,102,117,105,14,119,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,120,120,120,117,105,14,14,135,136,102,120,120,120,120,120,120,120,120,
104,104,104,104,105,14,119,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,101,136,137,14,14,14,135,102,120,120,120,120,120,120,117,105,14,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,118,121,14,14,119,120,121,14,119,120,120,120,120,120,117,105,14,14,14,135,136,137,14,14,14,103,118,117,104,104,105,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,117,104,118,120,120,120,117,104,118,101,137,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,118,120,120,120,120,120,120,120,120,117,104,105,14,103,118,120,120,120,117,105,14,14,135,136,136,136,102,120,120,120,120,120,120,117,105,14,103,104,118,120,120,120,120,120,120,120,121,14,119,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,117,104,118,120,120,120,120,120,120,120,120,120,121,14,14,14,103,118,120,120,120,120,120,120,120,101,137,14,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,121,14,119,120,120,120,120,120,120,101,137,14,14,103,118,120,120,120,120,120,101,137,14,14,103,118,120,120,101,137,14,14,14,14,135,136,136,136,136,102,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,121,14,119,120,117,104,118,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,101,137,14,14,103,118,120,120,120,120,120,121,14,14,14,14,14,119,120,120,120,120,120,101,137,14,14,14,14,14,14,135,102,120,120,120,101,137,14,14,119,120,121,14,14,14,14,103,118,120,120,121,14,14,119,120,120,120,121,14,14,14,14,14,103,118,120,120,120,120,117,104,104,104,104,104,105,14,14,119,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,104,104,104,118,120,120,120,120,120,120,121,14,14,103,118,120,120,121,14,14,14,119,120,121,14,119,120,120,120,120,120,120,101,137,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,135,136,102,120,120,120,120,120,120,
120,120,120,120,121,14,135,102,120,120,120,120,120,120,101,137,14,119,120,120,120,101,137,14,14,14,14,14,14,135,102,120,120,120,120,120,120,117,105,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,101,137,14,103,118,120,117,104,104,118,120,121,14,119,120,120,120,120,120,120,117,104,105,14,14,14,14,14,103,104,118,120,120,120,120,121,14,135,136,136,136,136,102,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,101,136,102,120,120,120,120,120,120,101,136,102,120,120,120,120,120,120,121,14,119,120,120,120,120,120,117,105,14,14,14,14,14,135,136,136,136,102,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,101,137,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,103,118,120,120,120,120,101,136,136,136,137,14,14,103,118,120,120,120,120,120,120,101,136,136,136,136,137,14,119,120,120,120,121,14,119,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,101,136,137,14,14,103,118,120,120,101,137,14,14,14,14,14,14,14,14,14,14,135,102,120,120,120,121,14,14,119,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,101,137,14,103,104,105,14,135,102,120,120,120,101,137,14,14,14,103,105,14,14,14,135,136,102,101,137,14,14,103,118,120,121,14,103,104,104,118,120,120,120,121,14,14,119,120,120,120,117,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,117,105,14,119,101,136,136,102,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,120,117,105,14,14,135,136,137,14,119,120,120,120,120,120,120,121,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,135,102,120,120,120,120,120,
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14,14,103,105,14,14,14,14,14,14,135,102,120,120,120,120,101,136,137,14,14,14,14,14,119,120,120,120,120,120,120,121,14,14,103,104,104,104,104,104,104,104,104,118,120,120,120,120,101,136,136,136,137,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,117,105,14,135,102,120,101,137,14,14,14,14,14,14,14,14,103,104,118,120,120,120,120,101,136,136,137,14,14,135,102,120,120,120,101,137,14,135,136,102,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,119,120,120,120,120,117,105,14,14,14,135,137,14,14,103,118,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,135,102,120,121,14,14,14,14,14,14,103,104,104,105,14,14,135,102,120,120,121,14,119,120,120,120,121,14,14,119,120,120,120,117,104,104,105,14,14,103,118,120,120,117,104,105,14,14,14,14,14,14,14,14,14,14,14,14,14,135,136,102,120,120,120,120,120,120,120,101,136,136,136,136,137,14,14,14,119,120,120,120,120,117,104,105,14,14,14,14,14,14,119,120,120,120,120,120,117,105,14,119,120,120,120,120,101,137,14,103,104,105,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,103,118,120,120,120,120,121,14,119,120,120,120,101,136,136,136,136,136,136,102,117,105,14,14,14,135,102,120,120,120,120,121,14,14,14,14,14,14,14,14,14,14,103,104,105,14,119,120,120,121,14,119,120,120,120,101,137,14,14,14,135,136,102,120,120,120,117,104,105,14,103,105,14,103,118,120,120,120,117,104,105,14,14,14,14,103,118,120,120,120,121,14,14,119,120,120,121,14,119,120,120,101,136,136,136,136,136,136,102,120,120,120,120,120,120,120,117,105,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,105,14,14,103,118,120,120,120,120,120,120,120,120,
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104,118,120,120,120,120,120,120,121,14,14,119,120,101,136,137,14,14,103,104,104,104,118,120,120,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,117,105,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,104,105,14,14,14,14,14,14,14,103,105,14,14,14,14,14,119,120,120,120,101,136,137,14,14,14,119,117,104,105,14,14,119,120,120,120,120,120,120,101,136,136,136,102,120,120,120,120,120,120,121,14,103,104,104,118,120,120,120,120,120,120,120,117,105,14,103,104,118,120,120,120,121,14,14,14,14,14,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,121,14,14,103,118,117,105,14,14,14,14,14,119,117,105,14,119,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,121,14,103,104,104,104,104,105,14,14,14,135,102,120,101,137,14,14,14,14,103,104,104,104,104,118,120,120,120,120,120,120,120,120,121,14,135,102,117,105,14,14,119,120,120,120,120,120,121,14,119,120,120,120,101,137,14,103,118,120,121,14,119,120,120,120,101,136,136,102,120,101,136,136,136,136,136,102,120,120,121,14,119,120,120,120,120,120,120,101,137,14,119,120,120,121,14,14,103,104,104,105,14,14,135,102,120,117,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,119,120,120,121,14,14,103,104,104,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,105,14,135,102,120,120,120,120,120,121,14,119,120,120,117,104,118,120,120,117,104,104,104,104,105,14,135,136,136,102,120,120,120,120,120,117,104,104,105,14,14,135,102,120,120,120,101,136,136,136,136,136,136,136,136,136,102,120,121,14,119,120,120,121,14,135,102,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,101,136,137,14,14,119,120,121,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,101,136,136,136,136,136,102,101,136,137,14,14,119,120,120,120,120,120,120,120,121,14,14,14,14,103,118,120,120,120,101,136,136,136,136,136,102,120,120,120,120,120,120,120,120,120,117,105,14,14,103,104,104,104,118,117,104,104,104,105,14,135,136,136,136,137,14,14,14,103,104,118,120,120,117,105,14,135,102,120,120,101,136,136,137,14,14,14,135,102,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,117,104,104,104,104,104,104,104,104,104,104,105,14,14,119,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,117,104,104,104,104,104,118,120,121,14,119,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,136,137,14,14,135,102,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,117,104,105,14,14,135,102,121,14,14,103,104,104,118,120,120,101,136,136,136,136,136,136,102,120,120,120,121,14,14,119,120,121,14,14,119,120,120,120,120,120,121,14,119,120,120,101,137,14,14,119,120,120,121,14,119,120,120,101,137,14,14,135,136,137,14,14,14,14,14,119,120,120,121,14,119,120,120,120,120,120,120,121,14,14,135,136,136,137,14,103,118,120,120,117,105,14,14,119,120,120,117,105,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,105,14,14,103,104,118,120,120,121,14,103,118,120,120,117,105,14,119,120,120,120,120,120,101,136,102,120,120,120,120,120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,117,104,118,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,119,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,121,14,14,14,14,14,14,14,14,14,135,102,121,14,119,120,120,121,14,14,119,120,120,120,101,136,136,136,136,
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136,136,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,103,105,14,14,119,120,121,14,119,120,120,101,137,14,14,14,14,14,14,14,14,119,120,120,120,117,105,14,14,14,14,14,103,104,118,120,120,120,120,120,101,136,136,102,120,120,120,120,120,117,104,104,105,14,14,14,135,102,120,120,120,120,120,120,120,120,121,14,14,103,104,104,104,105,14,14,14,135,136,102,120,120,120,120,120,120,120,117,105,14,14,14,14,14,14,14,14,14,119,120,120,117,105,14,14,119,120,120,120,120,120,121,14,14,14,14,135,136,136,102,120,120,120,120,120,121,14,119,120,117,105,14,14,14,119,120,117,105,14,119,120,120,120,120,120,117,104,104,104,118,120,121,14,14,135,102,120,101,136,137,14,14,119,120,120,120,117,104,104,104,104,104,104,118,120,120,120,120,120,120,120,120,117,105,14,14,135,102,120,120,120,120,117,105,14,14,135,137,14,14,103,104,104,104,118,120,120,120,117,105,14,135,136,136,102,120,120,120,120,120,120,120,120,120,117,105,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,117,104,105,14,14,14,14,103,104,104,104,118,120,120,120,120,101,136,137,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,103,105,14,14,14,135,102,120,120,120,120,120,121,14,119,120,101,137,14,14,14,14,14,14,14,14,14,103,118,120,120,120,120,120,117,104,105,14,14,14,14,14,103,104,118,120,120,120,120,120,120,120,121,14,14,14,14,103,118,120,120,120,120,120,120,120,120,121,14,14,14,14,135,136,136,136,136,137,14,103,118,120,120,120,120,120,120,120,120,120,121,14,119,101,136,136,137,14,14,119,120,120,120,120,121,14,14,119,120,120,120,121,14,135,136,136,137,14,14,14,103,104,104,104,118,120,120,120,120,120,120,120,120,120,120,
14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,119,117,105,14,135,136,137,14,135,136,136,137,14,14,14,103,104,104,104,105,14,119,120,120,120,101,137,14,103,104,104,104,118,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,120,120,117,104,105,14,14,119,120,120,120,120,120,120,120,120,117,104,104,118,120,120,120,121,14,14,14,14,14,135,136,102,120,120,120,120,101,136,137,14,14,103,104,104,104,105,14,14,119,120,120,120,121,14,103,118,120,120,120,120,120,121,14,103,105,14,14,14,14,135,102,120,120,120,120,121,14,119,120,120,117,104,104,104,118,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,102,121,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,136,102,120,120,120,121,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,121,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,120,120,101,136,137,14,135,136,136,136,102,120,120,120,117,105,14,14,14,135,136,102,120,120,120,120,120,120,121,14,14,14,103,105,14,103,104,105,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,101,136,137,14,14,14,103,104,104,104,118,117,104,105,14,14,135,102,120,120,120,120,117,104,118,101,137,14,14,103,104,105,14,14,14,103,104,118,120,120,120,120,120,120,120,120,117,104,104,105,14,103,118,120,120,120,120,120,120,120,120,120,117,105,14,14,103,118,120,120,120,120,120,120,120,120,120,117,104,104,105,14,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,121,14,135,137,14,14,14,14,103,118,120,120,120,120,121,14,14,119,120,120,120,121,14,14,14,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,121,14,14,14,14,14,14,14,14,14,14,103,104,118,120,120,120,117,104,118,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,101,137,14,14,14,103,118,120,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,101,136,136,102,117,104,104,104,105,14,14,14,135,136,102,120,101,137,14,14,14,103,118,120,120,120,117,105,14,119,120,120,120,121,14,135,136,102,120,120,120,120,121,14,119,117,104,104,105,14,14,135,102,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,121,14,135,136,136,136,136,136,102,120,120,120,120,120,120,117,105,14,14,119,117,104,104,104,118,120,120,101,136,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,119,120,101,136,137,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,117,104,104,105,14,14,135,102,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,101,136,136,137,14,14,14,14,14,14,14,135,136,102,120,120,117,104,105,14,14,14,135,102,120,120,120,120,101,137,14,14,103,118,117,104,118,120,121,14,135,136,136,136,102,120,120,120,120,120,120,120,121,14,119,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,14,103,104,118,120,120,120,120,120,120,117,105,14,14,135,136,102,120,120,120,120,120,121,14,14,103,118,120,117,105,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,103,104,105,14,14,135,102,120,120,120,120,120,120,120,101,137,14,14,14,14,103,104,104,118,120,120,101,136,136,137,14,14,135,136,102,120,121,14,103,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,
104,104,105,14,135,136,136,102,120,101,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,117,104,104,105,14,103,104,105,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,101,136,137,14,14,103,104,118,120,120,120,120,120,120,120,120,101,137,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,117,104,105,14,14,14,135,136,137,14,14,103,104,118,120,120,120,120,120,121,14,119,120,120,120,121,14,14,14,135,136,136,102,120,121,14,119,120,120,120,117,105,14,14,135,102,120,120,121,14,14,119,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,121,14,14,14,14,135,136,136,136,136,136,136,136,136,136,136,102,120,120,120,120,117,104,105,14,135,136,137,14,14,14,103,105,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,121,14,14,14,14,14,14,103,104,105,14,14,14,135,102,120,120,120,117,105,14,14,14,135,136,102,120,101,137,14,14,103,118,120,120,120,120,120,121,14,14,14,14,14,119,120,120,120,120,120,120,101,137,14,135,136,136,136,137,14,14,135,136,136,136,102,120,120,120,120,120,120,120,101,136,136,136,136,136,136,102,120,120,120,120,120,120,101,136,137,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,117,105,14,14,14,119,120,120,120,120,120,121,14,103,118,120,120,120,117,105,14,14,119,120,120,120,101,136,102,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,136,136,136,102,120,120,120,120,120,120,120,120,117,105,14,103,104,118,120,117,105,14,14,135,102,120,120,120,120,120,101,137,14,14,103,105,14,119,120,120,120,101,136,137,14,14,14,14,14,14,14,119,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,137,14,14,
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136,136,136,137,14,14,135,136,102,120,120,121,14,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,14,14,14,14,119,120,120,120,120,117,104,104,105,14,14,135,136,102,120,120,120,120,120,101,137,14,14,103,104,105,14,135,136,137,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,117,105,14,14,119,120,120,120,120,120,101,137,14,14,119,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,135,102,120,120,120,121,14,119,120,120,120,120,101,136,136,102,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,117,104,104,104,104,104,105,14,103,104,104,104,104,104,104,104,104,105,14,14,103,104,105,14,119,120,120,120,120,101,136,136,136,136,137,14,135,136,102,120,120,120,120,120,120,120,120,117,105,14,14,135,102,120,120,120,120,120,120,120,120,120,121,14,14,103,104,104,105,14,14,135,102,120,120,117,104,104,104,104,105,14,14,14,135,102,101,137,14,14,14,119,120,120,120,120,121,14,119,120,120,120,120,101,136,137,14,135,136,137,14,14,14,14,14,14,14,14,14,14,14,14,14,119,120,120,121,14,135,136,136,102,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,121,14,14,14,135,102,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,117,105,14,14,119,120,120,101,136,102,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,101,137,14,14,14,14,119,120,121,14,14,103,118,120,120,120,120,120,121,14,135,136,102,120,120,121,14,119,120,101,136,137,14,14,103,105,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,117,104,105,14,14,14,119,120,120,120,121,14,14,103,104,104,118,120,120,121,14,119,120,120,120,121,14,135,136,102,101,137,14,103,118,120,120,120,120,120,120,121,14,119,120,120,120,
14,14,14,14,14,14,14,14,119,120,120,117,105,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,103,104,105,14,135,102,120,120,120,120,120,120,117,105,14,14,14,119,120,120,120,120,120,121,14,14,103,118,120,121,14,14,14,14,14,103,104,104,104,104,104,105,14,119,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,101,136,136,137,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,117,105,14,135,102,120,120,120,101,137,14,14,14,119,120,120,101,137,14,14,103,105,14,14,103,104,104,105,14,14,119,120,120,120,121,14,119,120,120,120,101,137,14,14,119,120,120,120,120,120,117,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,121,14,14,119,120,117,104,118,120,120,120,120,121,14,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,117,105,14,14,135,102,120,120,120,120,120,120,120,101,137,14,103,118,120,120,117,105,14,14,135,102,120,120,120,120,120,120,117,104,105,14,14,135,137,14,14,14,14,135,102,120,120,120,121,14,119,120,120,120,120,121,14,14,14,14,14,14,14,103,104,104,104,104,104,105,14,103,104,104,104,118,120,120,121,14,14,14,14,119,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,101,136,136,137,14,135,136,102,120,120,120,120,121,14,14,14,14,135,102,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,117,105,14,135,136,136,137,14,135,102,120,120,120,120,120,121,14,14,135,102,120,120,120,120,121,14,14,103,105,14,119,120,121,14,103,118,120,120,120,120,120,101,137,14,14,14,135,136,136,137,14,135,136,137,14,14,14,103,118,117,104,104,105,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,105,14,119,101,136,102,117,104,104,118,120,120,120,101,136,137,14,119,120,120,120,121,14,14,14,135,137,14,14,119,120,120,120,120,120,120,120,121,14,119,120,120,120,
105,14,14,103,104,104,104,104,118,120,120,120,117,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,101,136,137,14,135,136,137,14,14,135,136,136,102,120,120,120,120,117,105,14,14,135,136,102,120,101,136,137,14,103,118,120,120,117,104,104,104,104,104,118,120,120,120,101,136,137,14,135,136,136,136,137,14,14,14,103,118,120,120,120,120,120,120,121,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,14,119,120,120,120,121,14,14,103,104,118,120,120,121,14,14,103,118,121,14,103,118,120,120,117,105,14,119,120,120,120,121,14,119,120,120,120,121,14,14,103,118,120,120,120,120,120,101,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,117,104,105,14,14,14,103,105,14,14,135,136,136,136,102,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,117,105,14,14,135,102,120,120,120,120,120,120,120,121,14,14,14,14,14,103,105,14,14,135,136,102,120,121,14,135,102,120,120,101,137,14,103,104,104,104,104,104,118,120,120,120,101,136,137,14,119,120,120,120,120,120,120,117,104,104,105,14,119,120,120,120,120,120,120,121,14,119,120,120,101,136,102,120,120,120,101,136,137,14,14,14,14,14,14,135,102,120,120,120,121,14,103,105,14,14,119,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,135,102,120,120,120,120,117,105,14,14,119,120,120,120,120,121,14,103,118,121,14,119,120,121,14,119,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,14,14,14,103,104,118,120,120,120,120,121,14,14,135,136,136,136,136,136,102,120,120,120,120,120,120,120,120,120,121,14,119,121,14,119,120,120,120,120,120,120,101,137,14,14,14,119,120,120,120,117,104,105,14,14,14,14,103,118,120,120,120,120,120,120,120,121,14,119,120,120,120,
121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,119,120,121,14,14,14,14,14,14,14,14,14,14,14,135,102,120,120,120,101,137,14,14,14,14,135,136,137,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,103,104,118,120,120,120,120,120,120,120,121,14,103,104,104,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,117,105,14,119,120,120,101,137,14,14,119,120,120,120,120,121,14,103,118,120,121,14,119,120,120,120,101,137,14,119,120,120,101,137,14,119,120,120,120,121,14,14,119,120,120,120,120,101,136,137,14,14,135,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,117,104,118,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,118,117,105,14,14,14,14,14,119,120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,101,137,14,103,118,120,120,101,136,102,117,105,14,14,119,120,120,120,120,120,120,120,121,14,14,103,104,104,118,117,105,14,14,14,119,120,121,14,14,119,120,120,121,14,14,119,120,120,120,120,120,120,120,120,101,137,14,14,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,121,14,119,120,101,137,14,135,136,136,136,137,14,14,14,103,104,104,105,14,14,119,120,120,120,121,14,119,117,105,14,119,120,120,101,136,136,136,136,137,14,103,118,120,120,120,120,120,120,120,121,14,103,104,104,104,105,14,14,135,136,102,101,136,136,137,14,14,135,136,136,136,136,137,14,119,120,121,14,119,120,121,14,135,102,120,120,120,120,121,14,14,103,104,104,104,105,14,103,104,105,14,14,14,119,120,120,120,120,120,120,117,105,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,101,136,137,14,135,137,14,119,120,120,120,120,120,120,121,14,14,14,14,135,102,120,120,120,120,117,104,104,105,14,119,120,120,120,120,120,120,120,101,137,14,119,120,120,120,
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120,121,14,14,119,120,120,120,120,117,105,14,103,104,104,118,120,120,120,120,120,120,120,121,14,14,135,136,136,136,102,120,120,120,101,137,14,103,118,120,120,120,120,121,14,14,14,14,135,102,120,120,120,120,117,105,14,119,120,120,120,120,120,120,121,14,135,102,120,120,120,120,117,104,105,14,14,14,14,135,137,14,119,120,120,120,120,121,14,14,14,119,120,120,120,120,120,120,121,14,14,14,14,14,14,14,103,118,120,120,121,14,14,103,118,120,120,121,14,14,103,105,14,103,104,104,118,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,117,105,14,14,135,136,136,102,120,120,120,101,137,14,14,14,103,104,104,104,105,14,14,14,135,136,102,101,137,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,117,105,14,135,102,117,105,14,119,120,120,120,120,120,121,14,14,14,14,135,136,137,14,14,14,14,119,120,120,120,120,120,120,121,14,14,119,120,120,120,117,105,14,14,119,120,101,136,102,120,120,121,14,119,120,120,117,105,14,14,14,103,118,120,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,119,120,121,14,14,119,120,120,120,120,120,101,136,102,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,105,14,119,120,120,120,120,120,121,14,103,118,117,104,118,120,120,121,14,119,120,120,120,120,120,120,121,14,103,118,120,120,101,136,137,14,14,14,14,135,136,136,102,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,135,136,136,102,120,120,121,14,14,135,136,136,137,14,103,104,104,105,14,135,136,102,120,120,101,136,136,102,120,120,117,104,104,118,120,120,120,121,14,14,135,136,102,101,136,136,136,136,137,14,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,121,14,14,14,14,14,14,135,136,102,120,120,120,120,120,120,120,
101,137,14,14,119,120,120,120,120,120,117,104,118,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,135,102,120,120,121,14,14,119,120,120,120,120,101,137,14,103,105,14,14,119,120,120,120,120,120,117,104,118,120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,117,104,104,105,14,14,14,14,119,120,120,120,120,117,104,105,14,119,120,120,120,120,120,101,137,14,14,103,104,104,104,104,118,120,120,120,121,14,103,118,120,120,101,137,14,103,118,121,14,119,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,135,136,136,136,137,14,14,103,104,118,120,120,120,117,104,105,14,14,14,119,121,14,14,103,105,14,14,119,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,101,136,136,136,136,136,136,136,102,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,101,136,136,136,136,102,120,120,120,121,14,14,119,120,121,14,119,120,120,120,120,120,121,14,103,105,14,14,14,14,14,103,104,104,118,120,120,120,120,120,101,137,14,103,118,120,120,120,120,117,105,14,119,120,121,14,119,120,101,137,14,135,136,136,136,137,14,14,103,118,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,101,136,137,14,119,120,117,105,14,135,102,120,120,120,120,121,14,119,120,101,136,136,136,136,136,102,120,120,120,120,120,120,101,137,14,135,136,136,102,120,120,121,14,119,120,101,136,102,120,120,121,14,135,136,136,136,136,102,120,117,104,118,120,120,101,137,14,14,14,103,105,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,117,104,105,14,14,14,14,14,119,120,120,117,105,14,14,14,14,14,14,119,120,120,121,14,14,14,135,136,136,137,14,14,119,120,120,120,120,120,120,120,120,120,117,105,14,14,14,135,137,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,101,137,14,103,104,104,105,14,14,14,135,102,120,120,120,120,120,120,
137,14,14,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,104,105,14,14,135,102,101,137,14,103,118,120,120,120,120,121,14,14,119,117,105,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,119,120,120,120,120,101,136,102,120,117,104,105,14,103,118,120,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,121,14,119,120,120,120,121,14,14,119,120,121,14,119,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,117,104,105,14,14,14,14,14,14,14,14,103,118,120,120,120,120,120,120,120,117,104,105,14,135,137,14,103,118,117,105,14,135,102,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,101,137,14,14,14,14,14,14,14,135,102,120,120,120,101,136,137,14,119,120,120,120,120,120,120,120,120,120,120,101,136,137,14,135,136,136,137,14,14,14,14,135,102,120,120,117,105,14,119,120,121,14,119,120,120,120,120,120,121,14,119,117,104,104,105,14,103,118,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,121,14,119,101,137,14,119,120,121,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,101,136,137,14,14,103,118,120,120,120,120,101,136,136,136,136,137,14,14,14,119,120,120,121,14,14,135,136,136,136,136,137,14,135,136,137,14,14,14,14,14,135,102,120,120,120,120,101,137,14,14,14,14,14,119,120,120,121,14,119,120,121,14,135,136,136,137,14,14,14,14,14,14,119,120,120,120,120,120,120,121,14,14,103,104,118,117,104,104,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,103,104,105,14,119,120,120,120,117,105,14,14,14,103,104,118,120,120,117,104,105,14,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,103,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,101,137,14,14,119,120,120,117,104,105,14,14,119,120,120,120,120,120,120,
14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,103,118,120,117,105,14,14,135,137,14,14,119,120,120,120,120,120,121,14,103,118,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,104,118,120,120,120,120,121,14,119,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,121,14,135,136,136,136,137,14,103,118,120,121,14,119,120,120,120,120,120,101,137,14,103,118,120,120,120,101,136,102,120,120,120,120,120,120,120,120,117,104,104,104,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,119,120,120,121,14,14,119,120,120,120,120,120,120,120,120,117,104,118,120,120,120,120,101,137,14,14,103,104,104,104,105,14,14,135,136,102,120,121,14,14,14,119,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,103,105,14,14,135,102,120,120,121,14,119,120,117,104,118,120,120,120,120,101,137,14,119,120,120,120,117,104,118,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,120,121,14,135,137,14,14,119,120,121,14,103,104,104,104,104,104,105,14,135,136,136,136,136,136,137,14,14,14,103,118,120,120,120,120,120,121,14,14,14,14,14,14,103,104,118,120,120,117,105,14,14,14,14,14,14,14,14,14,14,14,14,103,104,105,14,14,135,102,120,120,120,121,14,14,103,104,105,14,119,120,120,121,14,119,101,137,14,14,14,14,14,14,103,104,104,105,14,119,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,121,14,119,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,121,14,103,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,14,103,118,120,120,120,120,117,105,14,135,102,120,120,120,120,120,
104,104,104,104,105,14,14,119,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,14,103,118,120,120,120,117,105,14,14,14,14,103,118,120,120,120,120,101,137,14,119,120,120,121,14,119,120,120,120,120,120,120,120,120,101,136,136,136,136,137,14,14,135,102,120,120,120,120,101,137,14,119,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,119,120,101,137,14,135,136,136,102,120,120,121,14,14,119,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,104,104,118,120,120,117,105,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,118,120,120,120,117,105,14,14,14,135,136,137,14,103,104,118,120,120,120,120,101,136,102,101,136,137,14,14,103,104,104,104,104,104,104,118,117,105,14,14,119,120,120,121,14,135,102,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,121,14,14,14,14,103,118,120,121,14,119,120,120,120,120,120,121,14,14,14,14,14,14,14,14,14,103,104,118,120,120,120,120,120,120,117,104,105,14,103,104,104,118,120,120,120,120,120,121,14,103,105,14,103,104,104,105,14,14,14,103,118,120,117,105,14,14,119,120,120,120,121,14,103,118,120,121,14,119,120,120,121,14,135,137,14,14,14,14,14,103,104,118,120,120,121,14,135,102,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,121,14,119,120,121,14,135,102,120,120,120,120,117,105,14,119,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,101,137,14,103,118,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,
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136,136,136,136,136,136,136,102,120,120,120,120,120,120,101,137,14,14,103,118,101,137,14,103,118,120,120,120,117,104,104,104,104,118,120,120,120,120,120,120,120,120,101,137,14,14,103,118,121,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,119,120,101,136,102,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,102,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,117,104,104,104,118,120,117,105,14,103,104,118,120,120,120,120,120,120,120,120,101,136,136,137,14,14,103,104,104,118,120,120,120,120,120,120,120,117,104,105,14,14,119,120,101,137,14,119,120,120,121,14,14,135,136,137,14,14,14,14,14,135,102,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,101,136,136,136,136,102,120,120,121,14,14,14,14,14,135,102,121,14,14,14,14,14,14,14,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,121,14,14,14,103,104,104,104,104,104,104,104,105,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,135,137,14,14,103,104,104,105,14,14,103,104,104,104,104,104,104,104,104,104,104,104,118,120,120,120,121,14,119,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,101,136,137,14,103,118,120,120,120,120,117,105,14,135,136,137,14,135,136,136,102,120,120,120,120,120,120,120,120,120,101,137,14,14,103,104,104,118,120,120,120,120,121,14,119,101,137,14,14,14,14,135,136,136,102,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,101,136,136,136,136,102,101,137,14,14,14,14,135,102,120,120,120,121,14,135,102,120,120,120,120,121,14,14,14,14,119,101,136,136,102,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,103,104,118,120,120,120,120,120,121,14,135,102,120,101,136,136,136,136,136,136,136,136,102,120,120,120,120,120,120,120,120,120,120,
14,14,14,14,14,14,14,135,102,120,120,120,101,136,137,14,14,103,118,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,103,118,120,117,104,104,104,104,104,104,104,104,104,104,105,14,14,14,103,104,104,104,104,104,104,104,104,105,14,135,136,137,14,119,120,101,137,14,119,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,136,102,120,120,120,120,121,14,14,103,118,120,120,120,120,121,14,14,135,136,136,102,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,117,105,14,135,136,137,14,14,119,120,120,121,14,14,14,14,14,14,14,103,105,14,14,135,102,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,121,14,14,14,14,135,102,120,121,14,14,103,105,14,14,135,137,14,103,104,104,104,105,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,101,136,102,120,120,121,14,103,118,120,101,137,14,103,104,118,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,103,118,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,121,14,14,135,102,120,120,120,120,120,120,101,137,14,14,14,119,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,135,136,136,102,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,121,14,135,137,14,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,121,14,14,14,14,135,137,14,14,103,105,14,14,135,102,120,120,121,14,14,119,120,120,120,120,121,14,103,104,104,118,121,14,14,119,120,120,120,120,120,120,120,120,120,120,117,104,105,14,14,103,118,120,120,120,120,120,120,120,121,14,14,135,102,121,14,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,
104,104,104,104,104,105,14,14,135,102,120,120,121,14,14,14,103,118,120,120,121,14,103,118,120,120,120,120,120,120,120,120,101,136,102,120,120,120,101,136,137,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,121,14,14,14,14,14,119,120,121,14,14,119,120,101,136,136,136,136,136,136,102,120,120,120,117,105,14,14,14,135,136,136,102,101,137,14,103,118,120,120,120,120,101,137,14,14,14,14,14,119,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,121,14,14,103,104,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,103,118,120,120,121,14,103,104,104,104,104,104,118,117,105,14,14,135,102,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,120,120,117,104,104,105,14,14,135,136,137,14,103,118,117,105,14,14,14,14,135,102,120,120,117,104,104,104,104,105,14,135,136,136,136,136,136,102,120,120,121,14,135,102,120,121,14,119,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,104,118,120,120,120,121,14,103,118,120,120,101,136,136,136,136,136,136,102,120,120,120,120,120,121,14,135,136,102,120,117,105,14,14,135,102,120,120,120,120,120,121,14,14,103,104,118,120,120,101,136,136,137,14,14,103,104,104,104,104,105,14,14,14,14,135,136,136,136,136,136,102,121,14,103,118,120,120,120,120,120,120,120,120,121,14,14,14,14,103,104,104,104,104,105,14,14,135,102,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,117,104,104,105,14,14,14,14,103,118,121,14,14,14,135,102,120,121,14,14,135,102,120,120,120,121,14,119,120,120,120,117,105,14,135,102,120,120,120,101,136,102,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,117,105,14,14,135,137,14,103,104,104,104,104,105,14,14,119,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,117,105,14,14,119,120,101,137,14,103,104,118,120,120,120,121,14,119,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,121,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,117,105,14,14,103,104,118,120,121,14,103,118,101,137,14,14,14,14,14,14,135,102,120,120,120,117,104,105,14,14,14,14,135,137,14,14,119,120,120,120,120,101,137,14,14,103,104,104,104,118,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,101,137,14,103,118,120,117,105,14,135,136,136,136,102,120,120,120,120,120,120,120,101,137,14,103,104,104,104,118,120,120,120,121,14,119,120,120,120,120,120,101,136,137,14,14,14,135,136,102,120,120,117,105,14,14,135,136,136,136,102,120,120,120,120,120,120,120,121,14,14,14,14,14,14,119,120,120,117,104,104,105,14,14,119,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,119,120,120,121,14,14,135,136,137,14,119,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,101,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,101,136,137,14,14,14,14,14,14,135,136,102,120,120,120,121,14,14,14,135,136,102,117,105,14,14,135,136,136,136,136,136,137,14,103,118,120,120,120,101,137,14,14,14,14,103,118,120,120,120,120,117,104,105,14,14,14,14,14,14,14,14,135,137,14,119,120,120,120,120,120,120,120,120,120,121,14,103,104,104,118,120,120,120,120,117,105,14,14,135,136,102,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,117,104,104,104,104,118,120,117,104,105,14,14,119,120,121,14,14,14,135,102,120,101,137,14,135,102,120,120,120,121,14,14,119,120,120,120,121,14,119,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,120,120,117,105,14,14,14,14,119,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,117,105,14,135,102,121,14,14,119,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,121,14,14,119,120,120,120,121,14,103,104,118,120,120,120,120,120,120,101,136,136,102,120,120,101,136,136,136,137,14,135,102,120,101,136,136,102,120,120,120,120,120,117,104,104,118,120,120,120,121,14,119,101,137,14,14,103,104,104,105,14,14,119,120,120,120,120,120,117,104,104,105,14,14,14,14,14,135,102,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,101,137,14,14,14,135,136,136,102,120,120,120,120,101,137,14,14,119,120,120,120,121,14,14,14,14,14,119,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,121,14,119,120,120,120,120,101,137,14,14,14,14,14,14,14,119,120,120,120,117,105,14,14,14,14,14,119,120,120,120,120,120,120,101,137,14,14,103,104,105,14,135,102,120,120,120,120,117,105,14,135,102,120,120,120,120,120,120,117,104,104,104,104,104,105,14,119,120,120,117,105,14,14,14,14,14,119,120,101,137,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,101,137,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,121,14,14,14,103,104,104,105,14,14,14,135,102,120,120,117,104,105,14,14,14,135,136,137,14,14,14,14,14,14,14,14,14,14,119,120,101,136,136,137,14,14,103,104,104,118,120,120,120,120,120,120,120,117,104,104,104,104,105,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,117,105,14,14,14,119,120,120,120,120,121,14,119,120,120,120,120,101,136,136,136,136,136,102,120,120,120,120,120,120,120,120,117,105,14,119,120,117,104,105,14,14,135,136,137,14,14,14,119,120,120,120,117,105,14,119,120,120,120,121,14,119,120,120,120,120,120,117,105,14,14,135,102,120,120,120,120,120,120,120,120,117,104,104,104,104,118,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,121,14,14,135,137,14,103,118,120,120,120,120,120,121,14,14,135,102,120,101,136,136,136,136,137,14,14,135,136,102,101,137,14,135,136,102,120,120,120,120,120,120,121,14,14,119,120,101,137,14,14,14,14,14,14,119,120,121,14,14,135,136,102,120,120,120,120,120,101,136,136,102,120,121,14,135,137,14,14,103,118,120,120,117,105,14,119,120,120,120,120,120,120,120,120,117,104,104,104,105,14,14,119,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,119,120,120,120,101,137,14,14,103,118,120,120,120,121,14,14,103,104,104,118,120,120,120,120,120,101,137,14,14,103,118,120,120,120,120,120,120,120,121,14,119,120,120,120,101,137,14,14,103,104,104,104,105,14,135,102,120,120,120,121,14,14,14,14,14,135,102,120,120,101,136,136,137,14,14,103,118,120,121,14,14,135,102,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,117,105,14,14,14,14,119,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,14,135,102,101,136,137,14,14,14,14,14,135,102,120,120,120,101,136,102,120,120,120,120,121,14,103,118,101,137,14,103,104,118,120,120,117,104,105,14,14,135,102,120,120,101,137,14,14,14,14,14,14,14,103,104,104,104,104,104,104,105,14,119,120,121,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,104,105,14,14,135,102,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,117,104,104,104,118,120,120,120,120,121,14,119,120,120,120,101,137,14,14,14,14,14,135,136,102,120,120,120,120,120,120,120,121,14,119,120,120,120,117,105,14,14,14,14,14,14,14,119,120,120,120,120,121,14,135,136,102,120,121,14,119,120,120,120,120,120,120,117,105,14,14,135,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,101,136,136,136,136,
120,120,120,120,120,120,101,137,14,14,14,14,14,135,136,136,136,136,136,136,137,14,14,14,135,136,137,14,14,14,14,14,14,14,14,14,119,121,14,14,14,14,119,120,120,120,120,120,101,137,14,103,118,120,121,14,14,103,104,104,105,14,135,136,117,105,14,14,14,119,120,101,136,102,120,121,14,14,119,120,121,14,14,14,14,103,118,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,121,14,14,119,120,120,120,120,120,120,101,136,136,136,137,14,14,103,118,120,120,120,120,120,120,120,120,121,14,14,103,104,104,104,105,14,135,102,120,101,137,14,14,103,118,120,120,120,120,121,14,103,118,120,120,120,120,120,120,101,136,137,14,14,103,118,120,120,120,120,120,120,120,120,121,14,135,102,120,101,137,14,14,103,118,120,120,120,121,14,14,119,120,120,120,121,14,103,104,105,14,14,135,136,136,137,14,14,14,14,103,118,120,120,117,105,14,14,119,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,117,105,14,14,14,119,101,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,137,14,14,14,103,104,105,14,14,135,136,136,136,137,14,119,120,120,120,120,121,14,119,101,137,14,14,119,120,101,136,136,136,102,117,105,14,14,119,120,120,121,14,14,14,103,104,104,104,104,118,120,120,120,120,120,120,121,14,119,120,121,14,103,104,104,118,120,120,101,136,136,136,136,136,136,102,120,120,120,120,120,120,121,14,119,120,117,105,14,14,135,136,136,136,102,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,135,136,136,136,137,14,14,103,104,105,14,14,14,119,120,120,120,120,120,120,120,121,14,119,120,120,120,120,117,104,104,104,104,105,14,14,119,120,120,120,120,121,14,14,14,135,136,137,14,119,120,120,120,120,120,120,120,121,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,101,137,14,14,14,14,
120,120,120,120,120,101,137,14,14,103,104,105,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,103,104,104,104,105,14,103,104,118,117,104,104,105,14,135,102,120,120,120,120,121,14,14,119,120,120,121,14,103,118,120,120,121,14,14,14,135,137,14,14,14,119,120,121,14,135,136,137,14,103,118,120,121,14,14,14,103,118,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,118,120,120,121,14,103,118,120,120,120,120,120,101,137,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,121,14,14,135,136,137,14,14,103,118,120,120,120,120,101,137,14,119,120,120,120,120,101,136,136,137,14,14,14,103,118,120,120,120,120,120,120,120,120,120,121,14,14,135,136,137,14,14,103,118,120,120,120,120,117,105,14,135,102,120,120,121,14,119,120,117,105,14,14,14,14,14,14,103,104,104,118,120,120,120,120,117,104,104,118,120,120,120,120,121,14,14,14,135,102,120,120,120,120,120,101,136,136,136,136,137,14,135,136,136,136,102,120,117,104,105,14,135,137,14,14,103,118,120,120,120,101,136,136,136,136,136,102,120,120,117,105,14,14,14,14,103,104,118,120,117,105,14,14,14,14,14,14,14,119,120,120,120,120,121,14,135,137,14,14,103,118,101,137,14,14,14,119,120,117,104,104,118,120,120,117,105,14,103,118,120,120,120,101,136,102,120,120,120,120,120,121,14,119,120,117,104,118,120,120,120,120,101,137,14,14,14,14,14,14,135,102,120,120,120,120,101,137,14,119,120,120,117,105,14,14,14,14,14,135,102,120,120,120,117,105,14,135,102,120,120,120,120,120,120,120,120,120,101,136,136,136,136,136,136,137,14,14,14,14,14,14,14,103,118,120,117,104,105,14,119,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,117,104,105,14,14,14,14,14,119,120,120,120,120,120,120,120,117,104,104,104,104,105,14,14,119,120,120,101,136,136,136,136,136,102,120,120,120,120,120,117,104,118,120,120,101,137,14,14,103,104,104,
136,136,136,136,136,137,14,14,103,118,120,117,104,104,104,104,104,104,104,104,104,104,104,104,104,104,104,104,118,120,120,101,137,14,119,120,120,120,120,120,121,14,14,119,120,120,120,120,121,14,103,118,120,120,121,14,119,120,120,120,117,105,14,14,14,14,14,14,14,119,120,121,14,14,14,14,14,119,120,120,121,14,14,103,118,120,120,120,120,120,120,121,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,135,136,136,102,120,120,120,121,14,14,103,104,105,14,119,120,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,120,117,105,14,14,14,14,14,103,118,120,120,120,120,120,121,14,14,119,120,120,101,136,137,14,14,14,14,103,104,118,120,120,120,120,101,136,102,120,120,120,117,105,14,14,14,14,14,103,118,120,120,120,120,120,120,121,14,14,135,136,136,137,14,119,120,120,117,105,14,103,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,105,14,14,135,102,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,119,120,120,120,121,14,14,14,14,103,118,120,120,120,120,121,14,14,14,14,14,119,120,120,120,117,105,14,103,104,118,120,120,120,120,117,104,104,104,104,104,104,104,118,120,120,120,120,121,14,14,14,14,103,118,120,121,14,14,14,14,119,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,119,120,120,120,120,101,137,14,119,120,120,120,120,101,136,136,136,137,14,14,103,104,104,105,14,14,135,102,120,120,120,121,14,14,119,120,120,101,137,14,103,104,105,14,14,119,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,103,104,104,104,118,120,120,120,120,121,14,119,120,120,120,120,120,101,136,137,14,119,120,120,120,120,120,120,120,101,137,14,14,14,119,120,120,120,120,120,120,117,105,14,103,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,135,136,136,137,14,14,14,14,14,135,136,102,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,
14,14,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,117,105,14,119,120,120,120,120,121,14,119,120,120,120,121,14,119,120,120,120,120,117,104,104,104,104,104,104,104,118,120,117,105,14,14,14,103,118,120,101,137,14,14,119,120,120,120,120,120,101,136,137,14,14,14,14,119,120,101,136,136,136,136,102,120,120,120,120,120,120,120,120,121,14,14,14,14,119,120,120,120,121,14,103,118,120,121,14,135,102,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,117,104,104,104,104,104,118,120,120,120,120,120,120,121,14,103,118,120,120,121,14,14,14,103,104,104,118,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,103,105,14,14,119,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,119,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,102,120,120,121,14,14,103,104,104,105,14,103,105,14,14,135,102,120,120,117,104,105,14,14,119,120,120,120,120,101,137,14,103,104,105,14,135,136,102,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,14,14,119,120,120,121,14,103,105,14,135,102,120,120,120,120,120,120,101,137,14,119,120,120,120,120,121,14,119,120,120,120,120,121,14,14,119,120,120,120,120,121,14,14,14,14,14,103,118,120,120,117,105,14,14,135,136,136,136,137,14,103,118,120,120,121,14,14,119,120,117,105,14,119,120,120,120,120,117,105,14,14,119,120,120,120,101,136,136,136,137,14,14,103,104,104,104,105,14,14,14,14,135,102,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,121,14,14,14,119,120,120,120,120,120,120,101,137,14,14,14,14,135,102,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,101,136,102,120,120,120,121,14,14,14,14,14,14,103,104,105,14,14,14,135,102,120,120,120,120,120,120,101,137,14,14,119,120,120,120,
104,105,14,14,103,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,119,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,101,137,14,14,103,118,120,120,120,120,101,137,14,14,14,103,105,14,119,101,137,14,14,14,14,135,102,120,120,120,120,120,120,120,117,105,14,14,14,119,120,120,101,137,14,119,120,120,121,14,14,135,136,136,136,136,102,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,117,104,104,104,118,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,117,104,118,121,14,14,119,120,120,120,120,120,120,120,117,104,104,105,14,14,103,104,118,120,120,121,14,14,119,120,120,120,120,120,101,136,136,136,136,136,136,136,136,136,102,120,120,120,120,120,120,117,105,14,14,135,102,101,137,14,103,118,120,120,121,14,119,117,105,14,14,135,102,120,120,101,137,14,14,119,120,120,120,120,121,14,14,119,120,121,14,14,14,135,136,102,121,14,119,120,120,120,120,120,120,120,101,136,136,136,136,136,136,136,136,136,137,14,14,14,14,14,14,119,120,120,121,14,119,121,14,14,119,120,120,120,101,136,136,137,14,14,119,120,120,120,120,121,14,119,120,120,120,120,121,14,103,118,120,120,120,120,121,14,103,104,105,14,119,101,136,136,136,137,14,14,14,14,14,14,14,14,119,120,120,101,137,14,103,118,120,120,121,14,119,120,120,120,120,120,117,104,104,118,120,101,136,137,14,14,14,14,14,103,118,120,120,120,117,104,104,105,14,14,119,120,120,120,101,136,136,137,14,14,119,120,120,120,120,120,121,14,103,104,118,120,120,120,120,120,120,121,14,14,103,105,14,14,135,102,120,120,120,120,120,121,14,14,135,136,136,136,136,102,120,120,120,120,121,14,119,120,120,120,121,14,14,14,14,14,103,118,120,117,104,105,14,14,135,136,102,120,101,136,136,137,14,14,103,118,120,120,120,
120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,136,136,136,102,120,120,120,120,120,121,14,119,120,120,101,136,136,102,120,121,14,135,102,120,120,120,121,14,119,101,136,136,137,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,121,14,14,103,118,120,120,120,120,101,137,14,14,103,104,118,121,14,119,121,14,14,103,105,14,14,135,136,136,136,136,102,120,120,120,117,104,105,14,135,136,136,137,14,14,119,120,120,121,14,14,14,14,14,14,14,119,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,102,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,101,136,102,120,120,120,121,14,14,119,120,120,120,120,120,101,136,137,14,103,118,120,120,101,136,136,136,136,136,102,120,121,14,14,119,120,120,120,120,121,14,103,118,120,120,120,101,136,137,14,14,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,117,105,14,14,119,121,14,14,119,120,120,120,117,104,118,120,117,105,14,14,119,120,120,121,14,14,14,119,120,120,120,120,121,14,14,119,120,117,104,105,14,14,14,135,137,14,119,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,14,14,14,14,103,104,104,105,14,119,120,120,121,14,119,117,105,14,135,102,120,101,137,14,14,14,14,14,135,102,120,120,120,121,14,119,120,120,120,120,117,104,118,120,120,120,120,120,121,14,119,120,121,14,119,121,14,14,14,14,14,14,14,103,104,104,104,104,118,120,120,121,14,14,119,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,14,103,104,104,104,118,120,120,120,120,120,120,120,117,105,14,119,120,120,120,121,14,14,14,14,103,118,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,101,137,14,103,118,117,105,14,14,119,120,120,120,120,120,117,105,14,14,14,14,14,14,119,120,120,120,101,137,14,119,120,120,120,121,14,103,104,104,104,118,120,120,120,120,117,105,14,14,14,135,136,137,14,14,14,14,103,118,120,120,120,120,
101,137,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,135,136,102,120,120,120,121,14,119,120,101,137,14,14,119,120,121,14,14,135,136,136,136,137,14,135,137,14,14,14,14,14,135,136,136,136,136,136,102,120,120,120,120,120,120,120,101,137,14,103,118,101,136,137,14,103,118,101,136,136,136,136,137,14,14,103,118,120,120,121,14,135,137,14,103,118,121,14,14,14,14,14,14,14,135,102,120,120,120,120,121,14,14,14,14,14,14,103,118,120,120,121,14,14,103,104,104,105,14,135,136,137,14,14,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,121,14,119,120,120,120,120,120,120,120,120,101,136,137,14,119,120,120,101,137,14,103,118,120,120,101,136,136,137,14,14,14,119,120,120,101,137,14,14,14,14,14,119,120,121,14,103,118,120,120,120,101,137,14,119,120,120,101,136,137,14,14,14,103,104,104,104,104,104,105,14,14,119,120,120,120,120,120,120,120,117,105,14,119,121,14,103,118,120,120,120,120,120,120,120,120,117,105,14,119,120,120,121,14,103,104,118,120,120,120,101,137,14,14,135,102,120,120,117,104,105,14,14,14,14,119,120,120,120,120,120,120,120,121,14,103,104,104,104,104,104,104,104,104,104,118,120,120,121,14,119,120,120,121,14,119,120,121,14,14,135,136,137,14,14,103,104,105,14,14,119,120,120,120,121,14,119,120,101,136,102,120,120,120,120,120,120,120,120,121,14,119,120,121,14,119,121,14,103,104,104,104,104,104,118,120,120,120,101,136,136,136,137,14,103,118,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,121,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,121,14,103,104,104,118,120,120,120,120,120,101,137,14,119,120,120,120,120,120,101,136,137,14,14,119,120,120,117,105,14,135,102,120,120,120,120,120,117,104,104,105,14,103,104,118,120,120,101,137,14,14,119,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,117,104,105,14,14,14,14,14,103,104,104,118,120,120,120,120,120,
137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,103,104,105,14,14,14,135,136,102,101,137,14,135,136,137,14,14,103,118,120,117,105,14,14,14,14,14,14,14,14,14,14,103,104,105,14,14,14,14,14,14,14,135,102,120,120,120,120,120,101,137,14,14,135,136,137,14,14,14,135,136,137,14,14,14,14,14,14,103,118,120,120,120,121,14,14,14,14,135,136,137,14,14,103,104,104,105,14,14,135,102,120,120,101,137,14,103,104,104,104,104,118,120,120,120,117,105,14,119,120,120,121,14,14,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,121,14,119,120,120,120,120,120,120,101,136,137,14,14,14,119,120,120,121,14,14,119,120,120,120,121,14,14,14,14,14,14,119,120,101,137,14,14,103,104,104,104,118,101,137,14,119,120,120,120,120,121,14,14,119,120,120,121,14,14,14,103,104,118,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,101,137,14,135,137,14,135,136,136,102,120,120,120,120,120,120,120,121,14,119,120,120,121,14,119,120,120,120,120,120,121,14,14,14,14,135,102,120,120,120,117,104,104,104,104,118,120,120,120,120,120,101,136,137,14,135,136,136,136,136,102,120,120,120,120,120,120,120,117,104,118,120,120,121,14,119,120,117,105,14,14,14,14,14,103,118,120,117,105,14,135,102,101,136,137,14,119,120,121,14,119,120,120,120,120,120,120,120,120,121,14,135,136,117,104,118,121,14,135,102,120,120,120,120,120,120,101,136,137,14,14,14,14,14,119,120,120,120,120,121,14,135,136,136,102,120,120,120,101,136,102,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,118,120,120,120,121,14,119,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,121,14,14,14,103,118,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,14,103,118,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,103,104,118,120,120,120,120,120,120,120,120,
14,14,103,118,120,120,101,136,136,136,136,136,136,136,136,102,120,121,14,14,14,119,120,117,104,105,14,14,14,135,137,14,14,14,14,14,14,103,118,120,120,120,117,105,14,14,14,103,104,104,104,104,104,118,120,117,104,104,104,104,104,105,14,14,119,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,14,14,14,103,104,104,104,104,118,120,120,120,120,117,104,104,105,14,14,14,14,14,103,118,120,120,117,105,14,14,135,136,136,137,14,14,119,120,120,120,120,120,120,120,120,101,137,14,119,120,120,121,14,14,103,104,104,104,104,105,14,14,135,136,136,136,136,136,136,102,120,101,137,14,14,119,120,120,120,121,14,135,102,120,120,120,120,101,137,14,14,14,103,104,118,120,101,137,14,103,118,120,120,120,117,104,104,104,104,105,14,135,102,121,14,14,103,118,120,120,120,101,137,14,14,119,120,120,120,120,121,14,14,119,120,120,121,14,103,104,118,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,101,136,137,14,14,14,14,14,14,14,14,135,136,102,120,120,101,136,136,137,14,135,136,102,121,14,119,120,120,120,120,101,137,14,103,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,101,136,136,137,14,14,14,14,14,14,14,14,135,136,102,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,117,105,14,14,14,14,135,102,120,120,121,14,14,135,137,14,14,14,119,120,121,14,119,120,120,120,101,136,102,120,120,121,14,14,14,119,120,120,121,14,14,135,102,120,120,120,120,120,121,14,14,14,103,105,14,103,118,120,120,120,120,121,14,14,14,14,135,102,120,101,137,14,119,120,121,14,119,120,120,101,136,136,136,136,136,136,102,120,120,120,101,136,102,120,120,120,120,121,14,135,102,120,120,120,120,101,136,136,137,14,103,118,120,120,120,120,120,117,104,104,104,118,120,120,120,120,117,105,14,135,102,120,120,120,120,120,120,101,137,14,119,120,120,120,101,137,14,103,118,120,120,120,121,14,14,119,120,101,136,136,136,102,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,
14,103,118,120,120,101,137,14,14,14,14,14,14,14,14,135,136,137,14,103,104,118,120,120,120,117,104,105,14,14,14,14,14,14,14,103,104,118,120,120,120,120,120,117,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,101,137,14,14,103,104,104,104,104,104,104,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,103,104,104,118,120,120,120,120,117,105,14,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,121,14,14,119,120,120,117,105,14,119,120,120,120,120,117,105,14,14,14,14,14,14,14,14,135,136,137,14,14,103,118,120,120,120,121,14,14,135,136,102,120,101,137,14,14,103,104,118,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,121,14,14,135,137,14,103,118,120,120,120,101,137,14,14,103,118,120,120,120,120,121,14,14,135,136,102,121,14,119,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,101,137,14,14,14,103,104,105,14,14,14,14,14,14,119,120,120,121,14,14,14,14,14,14,135,137,14,119,120,120,120,101,137,14,14,119,117,105,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,103,104,104,104,104,105,14,14,14,135,136,136,136,102,120,120,120,120,120,120,121,14,135,102,120,120,121,14,103,105,14,14,119,120,120,117,105,14,14,14,14,103,104,118,120,121,14,119,120,120,120,121,14,119,120,120,117,104,105,14,119,120,120,117,105,14,14,135,102,120,120,120,101,137,14,103,104,118,121,14,135,102,120,120,120,120,117,104,104,105,14,14,135,136,137,14,14,119,120,117,104,118,120,120,121,14,14,14,14,14,14,135,136,136,136,137,14,119,120,120,120,120,121,14,14,119,120,120,120,120,121,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,101,137,14,14,119,120,120,101,137,14,14,135,102,120,120,120,117,105,14,119,120,121,14,14,14,135,102,120,120,120,120,120,117,105,14,135,136,102,120,120,120,120,120,120,120,120,
104,118,120,120,101,137,14,14,103,104,105,14,103,105,14,14,14,14,14,119,120,120,120,120,120,120,120,117,104,104,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,101,136,137,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,117,105,14,103,104,104,104,118,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,121,14,119,120,120,120,120,120,117,104,105,14,103,104,104,105,14,14,14,14,14,103,118,120,120,120,120,117,105,14,14,14,135,136,137,14,14,14,135,102,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,119,120,120,120,120,121,14,14,103,118,120,120,120,120,120,117,105,14,14,14,135,137,14,119,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,120,120,121,14,14,103,104,118,120,117,104,104,104,104,104,104,118,120,101,137,14,103,104,104,105,14,14,14,14,119,120,101,136,137,14,14,103,118,120,121,14,119,120,120,101,136,136,136,136,136,136,136,136,137,14,103,104,104,118,120,120,120,120,117,104,105,14,14,14,14,14,119,120,120,120,120,101,136,137,14,14,119,120,120,121,14,119,117,105,14,135,102,120,120,117,104,104,105,14,119,120,120,101,137,14,119,120,120,120,121,14,119,120,120,120,120,121,14,119,120,120,120,117,105,14,14,135,136,102,120,121,14,14,119,120,120,121,14,14,119,120,120,120,120,120,120,120,117,105,14,14,14,14,14,103,118,120,120,120,120,120,120,121,14,103,104,104,105,14,14,14,14,14,14,14,119,120,120,120,120,117,105,14,135,136,136,136,136,137,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,135,102,120,120,120,101,137,14,14,103,118,101,136,137,14,14,14,14,135,102,120,120,120,121,14,119,120,117,104,105,14,14,119,120,120,120,120,120,120,121,14,14,14,135,136,102,120,120,120,120,120,120,
120,120,120,101,137,14,14,103,118,120,121,14,119,117,104,104,105,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,103,118,101,137,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,135,136,102,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,119,120,120,117,104,104,105,14,14,119,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,135,102,120,101,137,14,14,119,120,120,120,120,101,136,136,136,136,102,120,117,105,14,14,14,119,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,117,104,105,14,14,14,14,119,120,101,136,136,102,120,120,101,137,14,14,119,120,120,120,120,120,121,14,103,118,120,120,120,120,120,101,136,102,120,120,120,120,121,14,14,119,120,120,117,104,104,105,14,135,136,137,14,14,14,103,118,120,120,121,14,135,136,136,137,14,14,14,14,14,14,14,14,14,14,135,136,136,102,120,120,120,120,120,120,117,104,104,104,104,104,118,120,120,101,136,137,14,14,14,103,118,101,136,137,14,119,120,121,14,14,119,120,120,120,120,120,121,14,119,120,101,137,14,14,119,120,120,120,121,14,119,120,120,120,120,121,14,119,120,120,120,120,117,105,14,14,14,135,136,137,14,103,118,120,120,117,105,14,135,136,102,120,120,120,120,120,120,117,105,14,14,14,103,118,120,120,120,120,120,120,120,121,14,119,120,120,117,104,104,105,14,103,104,104,118,120,101,136,136,136,137,14,14,14,14,14,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,101,136,137,14,14,103,118,101,137,14,14,14,103,105,14,14,119,120,120,120,121,14,135,102,120,120,117,105,14,119,120,120,120,120,120,120,117,104,105,14,14,14,135,102,120,120,120,120,120,
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136,137,14,14,103,118,120,120,120,120,121,14,14,14,135,136,102,120,117,104,105,14,14,14,14,14,14,103,118,120,101,137,14,14,103,118,120,120,120,120,120,121,14,14,14,14,14,14,103,105,14,14,14,135,102,120,120,120,120,121,14,14,119,120,121,14,103,118,120,120,120,120,120,120,101,137,14,103,104,104,105,14,14,103,104,118,120,120,121,14,119,120,120,120,120,121,14,103,118,120,117,104,105,14,14,135,102,120,120,120,120,120,120,120,101,137,14,14,14,103,104,105,14,14,14,14,103,118,120,120,120,120,121,14,103,118,120,120,121,14,14,119,120,121,14,14,119,120,120,120,120,120,121,14,119,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,117,105,14,14,14,14,103,118,120,120,120,120,121,14,103,104,118,121,14,14,135,136,102,121,14,14,119,120,120,120,121,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,121,14,119,120,120,117,104,104,104,104,105,14,119,120,120,120,101,136,137,14,14,14,14,135,136,136,102,120,120,117,105,14,135,102,120,120,117,105,14,14,135,136,102,120,120,120,121,14,14,135,102,120,120,120,120,120,121,14,103,105,14,119,120,120,120,120,121,14,119,120,120,120,120,120,117,105,14,14,14,135,136,136,136,136,136,136,136,136,137,14,14,14,14,14,119,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,101,137,14,14,119,117,104,105,14,14,14,14,135,102,120,120,120,121,14,14,14,135,137,14,14,103,118,101,136,136,136,136,102,120,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,135,102,120,120,117,105,14,14,119,120,120,120,120,120,120,121,14,14,135,136,102,120,120,117,105,14,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,101,136,136,137,14,14,103,105,14,135,102,120,120,120,120,120,117,105,14,14,103,104,118,120,120,120,120,120,120,121,14,135,102,120,117,104,105,14,14,14,14,103,118,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,119,120,120,120,
14,14,14,103,118,120,120,120,120,120,117,104,105,14,14,14,135,102,120,120,117,105,14,14,14,14,103,118,120,120,121,14,14,103,118,120,120,120,120,120,120,117,104,104,105,14,14,103,118,117,104,105,14,14,119,120,120,120,120,117,105,14,135,136,137,14,119,120,120,120,120,120,120,120,121,14,14,119,120,120,117,104,104,118,120,120,120,120,121,14,119,120,120,120,101,137,14,119,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,121,14,14,103,104,118,101,137,14,14,103,104,118,120,120,120,120,120,121,14,119,120,120,120,121,14,103,118,120,117,105,14,135,102,120,120,120,120,121,14,119,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,117,104,104,104,104,118,120,120,120,120,120,117,104,118,120,101,137,14,14,14,14,135,137,14,103,118,120,120,120,121,14,135,102,120,101,136,136,137,14,135,136,136,102,120,120,120,121,14,119,120,120,120,120,120,120,101,137,14,119,101,136,136,137,14,14,14,103,105,14,14,14,14,135,102,120,120,121,14,14,119,120,120,120,117,105,14,14,14,135,102,120,120,117,105,14,14,135,136,102,120,120,120,121,14,119,121,14,119,120,120,120,120,121,14,119,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,103,104,104,118,120,120,120,120,120,120,120,121,14,135,102,120,120,101,136,137,14,14,103,118,120,101,137,14,103,105,14,14,135,102,120,120,121,14,14,14,14,14,14,103,118,120,121,14,14,14,14,135,102,120,120,120,121,14,119,120,120,120,120,120,120,101,137,14,103,104,104,104,105,14,14,135,102,120,120,117,105,14,135,102,120,120,120,120,120,117,105,14,14,14,135,102,120,120,117,104,104,104,104,104,104,118,120,120,120,120,120,120,101,136,136,137,14,119,120,120,120,120,120,121,14,14,14,14,103,118,121,14,14,135,102,120,120,101,136,136,137,14,103,118,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,117,105,14,14,103,118,120,120,101,136,137,14,14,119,120,120,120,120,101,136,102,101,137,14,14,103,105,14,14,119,120,120,120,
104,104,104,118,120,120,120,120,120,120,120,120,117,104,105,14,14,119,120,120,101,137,14,14,103,104,118,120,120,120,121,14,14,135,136,102,120,120,120,120,120,120,101,136,137,14,103,118,120,120,120,117,105,14,119,120,120,120,120,120,121,14,14,14,14,14,135,136,102,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,101,137,14,135,102,101,136,137,14,14,119,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,101,137,14,103,118,101,136,137,14,14,103,118,120,120,120,120,120,120,120,121,14,119,120,120,120,121,14,119,120,120,120,121,14,14,119,120,120,120,120,121,14,119,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,105,14,14,14,14,119,120,120,120,120,121,14,14,135,136,137,14,14,14,14,14,14,14,119,120,120,120,121,14,119,120,120,120,120,120,120,121,14,14,135,137,14,14,14,14,103,104,118,117,104,104,105,14,14,119,120,120,117,105,14,119,120,120,120,120,117,104,105,14,14,119,120,120,120,117,105,14,14,14,119,120,120,120,117,104,118,121,14,119,120,120,120,120,121,14,119,120,120,101,136,136,137,14,14,103,105,14,103,104,104,104,105,14,103,104,104,105,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,135,102,120,121,14,14,14,103,118,120,101,137,14,14,119,117,105,14,14,119,120,120,121,14,103,104,105,14,14,119,120,120,117,104,104,105,14,14,119,120,120,120,121,14,119,120,120,120,101,136,136,137,14,14,119,120,120,120,117,105,14,14,119,120,120,120,121,14,14,135,102,120,101,136,102,120,117,104,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,135,136,102,120,120,120,117,104,104,105,14,119,120,117,105,14,14,135,136,136,137,14,14,14,14,119,120,120,120,120,120,120,120,120,120,117,105,14,135,102,120,120,120,117,105,14,119,120,101,136,137,14,14,14,103,118,120,120,120,120,121,14,135,137,14,14,103,118,117,105,14,135,102,120,120,
120,120,120,120,101,136,136,136,136,136,102,120,120,120,117,105,14,135,102,120,121,14,14,103,118,120,120,120,120,120,117,105,14,14,14,119,120,120,120,120,120,101,137,14,14,14,119,120,120,120,120,101,137,14,119,120,120,120,120,120,117,104,104,104,105,14,14,14,135,102,120,120,120,120,120,121,14,135,136,102,120,120,120,120,120,120,101,137,14,14,14,135,137,14,14,14,103,118,120,120,120,120,120,117,105,14,14,135,136,102,120,120,120,121,14,14,119,101,137,14,14,14,103,118,120,120,120,120,120,120,120,101,137,14,119,120,120,120,121,14,135,102,120,120,117,105,14,119,120,120,120,120,121,14,119,120,120,120,120,121,14,135,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,137,14,103,118,117,104,104,104,104,118,120,120,120,101,137,14,14,14,14,14,14,103,104,104,104,104,104,118,120,120,120,121,14,119,120,120,120,120,120,120,117,105,14,14,14,14,103,104,104,118,120,120,120,120,120,117,105,14,119,120,120,120,121,14,135,102,120,120,120,120,120,117,105,14,119,120,120,120,120,117,104,104,104,118,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,135,136,136,137,14,14,14,14,14,135,137,14,119,120,120,120,121,14,119,120,120,121,14,135,136,136,136,136,136,136,102,120,120,120,117,105,14,14,119,120,121,14,103,104,118,101,136,137,14,14,103,118,120,117,105,14,119,120,101,137,14,119,120,121,14,14,119,120,120,120,120,120,117,105,14,135,102,120,120,121,14,135,102,120,101,137,14,14,14,14,103,118,120,120,120,120,117,105,14,135,102,120,120,117,105,14,14,135,102,121,14,119,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,135,102,120,120,120,120,101,137,14,119,120,120,117,105,14,14,14,14,14,14,103,104,104,118,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,101,137,14,135,136,137,14,14,14,103,104,118,120,120,120,120,101,137,14,14,14,14,103,118,120,120,121,14,14,135,136,136,
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120,120,101,137,14,103,118,120,121,14,119,120,120,120,120,120,121,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,14,14,103,118,120,120,120,120,120,120,120,121,14,135,136,136,102,120,120,120,120,120,120,120,101,137,14,14,14,14,14,135,102,120,120,120,120,117,105,14,14,119,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,103,104,104,105,14,14,14,14,103,118,120,120,121,14,119,120,120,120,120,120,120,120,101,137,14,14,103,118,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,101,136,137,14,135,136,136,136,137,14,14,119,120,117,105,14,14,119,101,136,137,14,14,14,14,135,102,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,119,121,14,14,135,102,120,120,120,101,136,102,120,120,121,14,14,14,103,104,104,118,120,120,120,101,136,136,102,120,120,120,120,120,121,14,14,14,14,14,14,14,14,119,120,120,120,120,121,14,14,135,136,136,136,136,137,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,135,136,102,120,120,117,104,104,104,118,120,101,136,136,136,136,102,120,120,120,120,120,121,14,14,119,120,120,121,14,119,120,117,104,118,120,120,101,136,102,120,120,120,120,120,120,117,104,105,14,103,104,105,14,14,135,136,102,120,120,121,14,14,14,14,103,118,120,120,120,117,105,14,14,14,119,120,120,120,120,121,14,14,119,120,101,137,14,119,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,117,104,118,120,120,120,120,120,117,104,104,104,104,105,14,14,14,14,14,103,118,120,120,120,120,120,120,120,101,136,102,120,120,101,137,14,14,119,120,120,120,120,120,117,105,14,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,135,136,102,120,120,120,120,120,120,101,137,14,103,104,104,118,120,101,136,136,136,102,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,117,104,
101,136,137,14,14,119,120,120,121,14,135,102,120,120,120,120,117,104,104,104,104,105,14,14,135,102,120,120,120,120,120,120,120,120,117,104,104,104,104,104,104,104,118,120,120,120,120,120,120,120,120,121,14,14,14,14,135,136,102,120,120,120,120,120,121,14,14,103,104,105,14,14,119,120,120,120,120,120,117,105,14,135,136,136,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,103,118,120,120,117,104,104,104,104,118,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,103,118,120,120,117,105,14,135,137,14,14,14,103,105,14,14,119,120,101,136,136,136,137,14,135,136,136,136,136,136,102,120,120,120,120,101,137,14,14,14,103,118,117,105,14,14,135,136,136,136,137,14,135,136,136,137,14,103,104,118,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,117,104,104,104,104,104,105,14,14,119,120,120,120,120,117,105,14,14,14,14,14,14,14,14,119,120,120,120,120,120,101,136,136,136,136,136,136,136,136,136,137,14,14,14,14,14,135,136,102,120,120,120,120,120,120,121,14,14,14,14,119,120,120,120,120,120,117,105,14,119,120,101,137,14,119,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,101,136,137,14,119,120,117,105,14,14,14,119,120,120,117,104,104,104,104,118,120,120,120,120,120,117,104,104,104,118,120,120,120,120,117,105,14,135,136,137,14,14,119,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,104,104,118,120,120,120,120,120,120,120,120,121,14,119,120,101,137,14,14,103,118,120,120,120,120,120,101,137,14,103,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,135,136,102,120,120,120,120,121,14,14,119,120,120,120,120,121,14,14,14,135,136,136,136,137,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
137,14,14,14,103,118,101,136,137,14,14,119,120,120,120,120,120,120,120,120,120,117,105,14,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,105,14,14,14,119,120,120,120,120,101,137,14,103,118,120,117,105,14,119,120,120,120,120,120,101,137,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,101,137,14,135,136,136,136,136,136,136,137,14,14,103,104,104,104,104,104,104,104,118,120,120,120,120,121,14,14,14,14,103,104,118,117,105,14,119,101,137,14,14,14,14,14,14,14,14,14,14,14,135,136,102,120,120,121,14,14,14,103,118,120,120,117,105,14,14,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,117,104,104,104,104,104,104,104,104,118,101,136,136,136,136,137,14,14,14,14,14,14,14,14,14,14,14,103,104,105,14,14,14,135,102,120,120,120,120,120,117,104,104,105,14,119,120,120,120,120,120,120,121,14,119,120,121,14,14,119,120,120,120,120,101,136,137,14,135,136,136,102,120,120,101,137,14,14,14,119,120,120,117,104,105,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,14,14,14,103,118,120,117,105,14,135,136,136,136,136,136,136,136,102,120,120,120,120,120,120,101,136,136,136,136,136,136,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,135,136,137,14,14,14,135,102,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,119,120,120,120,120,117,105,14,119,120,120,120,101,137,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
14,14,103,104,118,120,121,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,135,136,136,136,102,120,101,136,136,136,136,136,136,102,120,120,120,120,120,120,120,120,120,120,121,14,119,117,104,105,14,135,102,120,120,120,121,14,14,119,120,120,120,121,14,135,136,102,120,120,101,137,14,14,103,104,104,105,14,14,119,101,136,136,136,136,136,102,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,104,104,118,120,120,120,121,14,135,137,14,14,103,104,104,104,105,14,14,14,14,14,14,14,135,136,136,137,14,103,104,118,120,120,120,120,117,104,105,14,14,14,103,104,104,104,104,104,104,118,120,120,120,120,120,120,101,136,136,137,14,135,102,120,120,120,120,120,120,120,120,101,136,136,137,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,103,104,104,104,104,104,104,105,14,103,118,120,117,104,105,14,14,135,136,136,136,136,136,136,136,136,137,14,135,102,101,136,102,120,120,121,14,119,120,121,14,103,118,120,120,120,101,137,14,14,14,14,14,14,119,120,120,121,14,14,103,104,118,120,120,120,120,121,14,14,119,120,120,120,101,136,136,136,136,136,136,136,136,136,136,136,102,120,120,101,136,137,14,14,14,103,104,104,104,118,120,120,120,121,14,14,14,14,14,14,14,14,14,135,102,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,135,136,102,120,120,120,120,101,136,136,136,136,137,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,103,104,104,118,120,120,120,120,120,121,14,135,136,136,136,137,14,14,103,104,104,105,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
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120,120,120,121,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,101,136,136,136,136,136,136,136,136,137,14,14,14,103,104,118,120,120,101,136,136,136,136,137,14,119,120,120,120,120,120,121,14,14,135,137,14,14,119,120,120,120,120,120,120,120,117,104,118,117,104,104,118,120,120,101,137,14,14,119,120,120,120,101,136,102,120,120,120,120,120,120,121,14,119,120,120,117,105,14,135,102,120,121,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,101,136,136,136,136,136,102,120,120,121,14,119,101,136,137,14,103,118,120,120,120,120,121,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,121,14,14,103,104,104,118,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,121,14,14,119,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,120,117,104,104,104,118,120,120,120,101,136,136,136,136,137,14,14,14,103,104,105,14,103,104,118,120,121,14,119,120,117,104,104,104,104,118,117,105,14,14,119,120,120,117,104,105,14,119,120,120,120,121,14,119,120,120,120,120,120,101,137,14,14,14,119,120,120,120,120,117,104,104,105,14,135,137,14,14,135,136,136,136,136,136,137,14,119,120,120,120,120,120,120,117,104,104,104,104,104,118,120,120,120,120,101,136,136,136,136,136,136,137,14,119,120,120,121,14,14,103,104,105,14,14,119,120,120,120,120,121,14,14,103,104,118,120,120,121,14,119,120,120,120,101,136,137,14,14,14,119,120,120,120,120,120,120,120,120,120,120,117,104,104,104,105,14,119,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,135,102,120,120,117,105,14,135,102,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,117,105,14,119,120,120,120,120,101,136,102,120,120,120,120,101,137,14,14,14,14,14,119,120,120,120,120,120,120,120,117,104,118,120,120,101,136,137,14,14,119,120,120,
120,120,120,121,14,103,104,118,120,120,120,120,101,136,136,136,136,136,136,137,14,135,136,136,136,136,136,136,136,136,136,137,14,14,14,14,14,14,14,14,14,14,103,104,118,120,120,101,136,137,14,14,14,14,14,14,119,120,120,120,120,120,117,105,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,118,120,120,120,121,14,119,120,120,120,120,120,120,121,14,119,120,120,120,121,14,14,135,136,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,101,137,14,14,14,14,14,135,136,136,137,14,135,137,14,14,14,119,120,120,120,120,120,121,14,14,14,103,104,105,14,14,135,102,120,120,120,120,101,137,14,14,103,118,120,120,120,120,121,14,103,118,120,120,120,120,120,120,121,14,14,103,104,104,104,104,104,104,105,14,119,120,120,120,120,120,121,14,103,118,120,120,120,120,101,137,14,14,103,118,136,136,136,136,136,136,136,136,102,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,103,118,120,121,14,119,120,120,120,121,14,119,120,120,120,120,120,120,120,120,117,105,14,135,102,120,120,120,117,104,118,120,120,120,121,14,135,102,120,120,120,101,137,14,14,103,104,118,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,101,136,102,120,120,120,120,101,136,136,102,120,120,121,14,14,14,14,14,14,14,14,119,120,120,121,14,103,118,120,117,105,14,135,136,136,136,136,137,14,103,118,120,120,120,101,137,14,119,120,120,120,121,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,121,14,14,103,104,104,105,14,14,119,120,120,120,121,14,14,135,136,136,136,136,136,136,136,137,14,14,119,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,117,104,118,120,120,120,120,121,14,135,136,102,101,136,137,14,14,103,104,105,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,103,118,120,120,
136,136,136,137,14,135,136,136,136,136,136,136,137,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,103,104,104,104,104,104,104,104,104,118,120,120,120,120,121,14,14,14,103,105,14,103,104,118,120,120,120,120,120,120,117,105,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,101,137,14,119,120,120,120,120,120,120,121,14,119,120,120,120,117,105,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,103,118,120,120,121,14,14,103,105,14,14,14,14,14,14,14,14,14,14,103,104,118,120,120,120,120,120,121,14,14,103,118,120,117,105,14,14,135,102,120,120,120,121,14,14,103,118,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,121,14,119,120,120,120,101,136,137,14,119,120,120,120,120,101,137,14,14,14,135,137,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,101,137,14,14,103,104,104,104,105,14,119,120,120,121,14,119,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,120,120,121,14,14,135,136,136,136,137,14,14,103,118,120,120,101,136,102,120,120,101,136,137,14,14,103,104,104,105,14,103,104,104,104,104,104,118,120,120,120,101,137,14,119,120,120,120,120,121,14,14,135,102,120,121,14,103,104,104,104,104,104,104,118,120,101,137,14,119,120,120,120,121,14,14,14,14,14,14,14,14,119,120,120,120,101,137,14,14,119,120,120,120,117,105,14,14,119,120,120,120,120,120,101,136,136,136,136,102,120,120,120,120,121,14,14,119,120,120,120,120,120,120,101,137,14,103,118,120,120,117,105,14,119,120,120,120,121,14,14,14,14,14,14,14,14,14,14,14,14,103,118,120,120,120,120,120,101,137,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,135,137,14,14,14,103,118,101,137,14,119,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,118,120,120,120,
14,14,14,14,14,14,14,14,14,14,14,14,14,14,103,104,104,104,104,104,104,104,104,104,105,14,103,104,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,103,118,121,14,119,120,120,120,101,136,102,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,101,137,14,14,119,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,104,118,120,120,120,121,14,103,118,117,104,104,104,104,104,105,14,103,104,104,118,120,120,120,120,120,120,120,121,14,103,118,120,120,120,117,105,14,14,135,102,120,120,121,14,103,118,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,14,135,136,136,136,102,120,120,121,14,119,120,101,136,137,14,14,14,135,102,120,120,101,137,14,14,14,14,14,14,14,103,104,104,104,104,104,104,118,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,121,14,119,120,120,121,14,135,136,136,136,137,14,135,136,136,136,102,120,120,120,120,120,117,105,14,14,135,102,120,120,120,120,120,120,120,117,105,14,14,14,14,14,14,14,103,118,120,120,101,137,14,119,120,120,121,14,14,14,103,118,120,120,121,14,119,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,117,105,14,14,119,120,121,14,119,120,120,120,120,120,120,120,101,137,14,14,119,120,120,120,117,105,14,103,104,104,104,105,14,119,120,120,120,121,14,14,103,118,120,120,120,120,121,14,103,118,120,120,120,120,101,137,14,14,14,14,135,102,120,120,120,121,14,14,135,136,136,136,136,136,136,137,14,14,119,120,120,120,120,121,14,119,120,101,136,137,14,103,104,105,14,14,103,104,104,105,14,103,118,120,120,120,120,120,120,121,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,117,104,105,14,14,14,14,103,104,118,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,
104,104,104,104,104,104,104,104,104,105,14,103,104,104,118,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,101,136,136,136,136,136,102,120,120,120,120,120,120,121,14,119,120,121,14,135,102,120,101,137,14,119,120,120,120,121,14,135,102,120,120,120,120,120,101,136,136,136,136,136,102,120,120,120,120,120,121,14,119,120,120,120,120,121,14,14,103,118,120,120,120,120,101,136,137,14,135,136,136,102,120,121,14,14,14,103,104,118,120,120,120,120,120,101,136,136,102,120,120,120,121,14,14,103,118,120,120,120,120,120,121,14,119,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,117,105,14,14,119,120,120,121,14,119,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,117,105,14,14,14,14,14,119,120,120,121,14,119,120,121,14,14,14,14,14,14,135,102,120,121,14,14,103,104,104,105,14,103,118,120,120,120,120,120,120,120,120,120,101,136,136,136,136,137,14,103,118,120,120,120,120,117,104,118,120,120,121,14,14,14,14,14,14,14,14,14,14,14,135,136,136,136,102,120,120,117,105,14,14,135,136,102,120,120,120,101,136,102,117,104,104,105,14,103,104,104,118,120,120,101,137,14,14,119,120,120,121,14,103,104,118,120,120,101,137,14,119,120,120,120,120,120,120,101,136,102,121,14,103,118,120,120,120,120,120,117,105,14,135,102,121,14,119,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,101,137,14,119,120,120,120,121,14,119,120,101,136,137,14,103,118,120,120,120,120,120,121,14,119,120,120,120,120,101,137,14,14,103,105,14,14,119,120,120,120,121,14,14,14,14,14,14,14,14,14,14,14,103,118,120,120,120,120,121,14,135,136,137,14,14,14,119,120,121,14,14,135,102,120,117,104,118,120,120,120,120,120,120,101,137,14,103,104,105,14,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,104,118,120,120,120,121,14,103,118,120,120,101,136,136,136,136,102,120,120,101,137,14,14,119,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,101,137,14,14,14,14,14,119,120,120,120,120,120,120,121,14,119,120,121,14,14,135,136,137,14,14,119,120,120,120,121,14,14,135,102,120,120,120,101,137,14,14,14,14,14,135,102,120,120,120,101,137,14,119,120,120,120,120,121,14,103,118,120,120,120,120,120,121,14,14,14,14,14,14,119,120,121,14,14,14,119,120,120,120,120,120,120,101,137,14,14,135,136,136,136,137,14,103,118,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,117,105,14,135,102,101,137,14,135,102,120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,117,104,104,104,104,104,118,120,120,121,14,119,120,121,14,103,104,104,105,14,14,119,120,117,104,104,118,120,120,121,14,119,120,120,120,120,120,120,120,120,101,136,137,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,117,105,14,103,104,104,104,104,104,104,105,14,14,14,14,14,119,120,120,120,117,105,14,14,14,135,102,120,101,137,14,119,120,120,120,121,14,119,120,120,120,120,101,137,14,14,103,118,120,120,121,14,119,120,120,120,120,121,14,14,119,120,120,120,120,120,101,137,14,119,121,14,119,120,120,120,120,120,120,101,137,14,14,119,117,104,118,120,120,120,120,120,120,101,137,14,103,118,120,120,120,101,137,14,14,119,120,120,120,121,14,135,136,137,14,14,14,119,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,14,103,118,121,14,14,135,136,136,102,117,104,105,14,14,103,104,104,104,104,105,14,119,120,120,120,120,120,121,14,14,14,14,14,103,104,118,120,117,105,14,14,119,120,120,120,120,120,120,120,120,120,101,137,14,14,119,120,117,105,14,14,14,135,102,120,120,101,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,101,137,14,14,14,14,119,101,136,137,14,14,14,135,102,120,120,120,120,
120,120,120,120,120,120,120,120,120,121,14,14,135,136,102,120,120,120,120,120,120,120,120,120,121,14,135,136,102,120,120,120,120,101,137,14,14,103,104,105,14,119,120,120,120,120,120,120,121,14,119,120,117,105,14,14,14,14,14,103,118,120,120,120,117,105,14,14,135,136,136,136,137,14,14,103,104,105,14,14,119,120,120,120,121,14,14,119,120,120,120,120,121,14,135,102,120,120,120,120,101,137,14,103,104,104,105,14,119,120,117,105,14,14,135,136,102,120,120,101,136,137,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,14,135,137,14,14,14,135,102,120,120,120,120,120,117,105,14,14,135,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,121,14,119,120,120,117,105,14,135,102,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,101,137,14,14,14,103,104,105,14,103,118,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,117,104,104,104,105,14,119,120,120,120,120,117,104,105,14,14,119,101,137,14,14,119,120,120,120,121,14,119,120,120,120,120,121,14,14,103,118,120,120,120,121,14,119,120,120,120,101,137,14,103,118,120,120,120,120,101,137,14,14,119,121,14,119,120,120,120,120,101,136,137,14,14,14,135,102,120,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,121,14,14,103,118,120,120,120,121,14,14,14,14,14,103,104,118,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,103,118,120,121,14,14,14,14,14,135,102,120,117,105,14,135,102,120,120,120,121,14,119,120,120,120,120,101,137,14,14,103,104,104,118,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,117,105,14,14,14,135,136,136,137,14,14,14,135,136,102,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,101,137,14,14,14,14,14,135,137,14,14,14,14,14,14,135,136,136,102,120,
136,136,136,136,136,136,102,120,120,117,105,14,14,14,135,136,136,136,102,120,120,120,120,120,121,14,14,14,135,136,102,120,120,121,14,14,103,118,120,121,14,135,136,102,120,120,120,101,137,14,119,120,120,121,14,14,14,103,104,118,120,120,120,120,120,117,105,14,14,14,14,14,14,14,103,118,101,137,14,14,135,136,136,136,137,14,14,135,102,120,120,120,121,14,14,119,120,120,120,101,137,14,14,119,120,120,121,14,119,120,120,117,105,14,14,14,119,120,101,137,14,14,14,103,104,104,104,104,105,14,14,135,102,120,120,120,120,101,137,14,103,118,120,120,120,120,120,120,121,14,119,120,120,120,120,120,101,136,136,102,120,120,121,14,119,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,14,119,120,120,120,120,120,101,137,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,135,102,117,104,118,120,120,120,121,14,14,119,120,120,120,120,120,120,121,14,14,135,136,136,102,120,120,101,137,14,14,103,104,118,120,121,14,119,120,120,120,120,120,120,120,120,120,120,101,136,137,14,119,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,117,105,14,135,137,14,14,103,118,120,120,120,121,14,119,120,120,120,101,137,14,103,118,120,120,120,120,121,14,119,120,101,136,137,14,14,119,120,120,120,120,120,121,14,14,103,118,121,14,119,120,120,120,120,121,14,14,14,14,14,14,135,136,102,120,120,120,120,101,137,14,14,103,118,101,136,102,120,121,14,103,118,120,120,120,120,121,14,103,104,104,104,118,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,117,104,118,120,101,137,14,103,104,105,14,14,119,120,120,121,14,14,119,120,120,120,121,14,119,120,120,101,136,137,14,14,103,118,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,117,104,105,14,14,14,14,14,14,14,14,14,14,135,136,102,120,120,120,120,120,120,120,120,121,14,103,118,101,137,14,14,103,104,105,14,14,14,14,103,104,105,14,14,14,14,14,135,102,
14,14,14,14,14,14,135,136,102,120,117,104,105,14,14,14,14,14,135,102,120,120,120,120,117,104,105,14,14,14,135,102,101,137,14,103,118,120,120,121,14,14,14,135,136,102,101,137,14,14,119,120,120,117,104,104,104,118,120,120,120,101,136,102,120,120,117,104,105,14,103,104,104,104,118,120,121,14,14,14,14,14,14,14,14,14,14,14,135,102,120,120,117,105,14,135,136,136,102,121,14,14,103,118,120,120,121,14,119,120,120,120,117,105,14,14,135,136,137,14,14,103,104,118,120,120,120,120,117,105,14,14,119,120,120,120,120,121,14,14,119,120,120,120,120,120,120,101,137,14,119,120,120,120,120,101,137,14,14,119,120,120,121,14,119,120,120,120,120,120,120,120,121,14,14,103,104,104,104,105,14,135,136,136,136,136,136,137,14,14,103,104,104,105,14,135,136,102,120,120,120,120,120,120,120,120,101,137,14,14,135,102,120,120,120,120,120,117,105,14,135,102,120,120,120,120,120,117,105,14,14,14,14,135,136,136,137,14,14,103,118,120,120,120,121,14,119,120,120,120,120,120,120,101,136,136,136,137,14,14,14,119,120,120,120,120,120,120,101,136,136,137,14,14,119,120,120,120,120,120,120,101,137,14,14,14,14,103,118,120,120,101,136,137,14,135,102,120,101,137,14,14,119,120,120,120,120,120,121,14,119,120,121,14,14,14,14,135,102,120,120,120,101,137,14,103,118,120,121,14,119,120,120,120,101,137,14,103,104,104,105,14,14,14,119,120,101,136,136,137,14,14,103,118,120,121,14,135,136,137,14,119,120,120,120,101,136,137,14,119,120,120,120,120,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,121,14,14,119,120,117,105,14,119,120,120,117,105,14,119,120,120,120,121,14,119,120,120,121,14,14,14,103,118,120,120,120,120,120,120,120,120,120,121,14,14,135,136,136,136,136,136,136,136,136,137,14,119,120,120,120,120,120,120,120,117,104,104,104,104,104,104,104,104,105,14,14,14,135,102,120,120,120,120,120,120,120,121,14,135,136,137,14,14,103,118,120,117,105,14,103,104,118,120,117,104,104,105,14,14,14,119,
104,104,104,104,105,14,14,14,119,120,120,120,117,104,104,104,105,14,14,119,120,120,120,120,120,120,117,104,105,14,14,135,137,14,14,119,120,120,120,117,104,105,14,14,14,135,137,14,14,103,118,120,120,120,120,120,120,120,101,136,136,137,14,135,136,136,136,136,137,14,119,120,120,120,120,120,121,14,103,104,104,104,104,104,104,104,105,14,14,135,102,120,120,121,14,14,14,14,135,137,14,103,118,120,120,120,121,14,119,120,120,120,120,117,105,14,14,14,14,14,103,118,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,117,104,104,118,120,120,120,120,120,120,121,14,14,119,120,120,120,120,121,14,14,103,118,120,120,121,14,119,120,120,120,120,120,120,101,137,14,103,118,120,120,101,137,14,14,14,14,14,14,14,14,14,103,118,120,120,121,14,14,14,135,136,136,136,102,120,120,120,101,137,14,14,14,14,119,120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,117,104,104,105,14,14,14,14,14,14,14,119,120,120,120,120,117,104,118,120,120,101,136,136,136,137,14,14,14,14,14,14,103,118,120,120,120,101,136,136,137,14,14,14,14,103,118,120,120,120,120,120,101,137,14,14,103,104,104,118,101,136,136,137,14,14,14,14,135,136,137,14,14,14,119,120,120,120,120,120,121,14,135,136,137,14,103,105,14,14,135,102,120,120,121,14,14,119,120,101,137,14,135,136,136,136,137,14,14,119,120,120,117,104,105,14,135,102,121,14,14,14,14,103,118,120,120,121,14,14,14,14,14,119,120,120,120,121,14,14,14,119,120,120,120,120,120,120,120,120,120,101,137,14,14,103,118,120,120,120,120,120,120,120,120,121,14,103,118,120,120,121,14,119,120,120,120,121,14,119,120,120,120,117,104,118,120,120,121,14,103,104,118,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,105,14,14,119,120,120,120,120,120,120,120,121,14,14,14,14,14,103,118,120,120,120,121,14,119,120,120,120,120,120,120,117,104,105,14,135,
120,120,120,120,117,104,105,14,119,120,120,120,120,120,120,120,117,105,14,135,102,120,120,120,120,120,120,120,117,105,14,14,14,14,103,118,120,120,120,120,120,117,105,14,14,14,14,14,103,118,120,120,120,120,120,101,136,136,137,14,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,117,105,14,14,135,102,120,117,104,104,105,14,14,14,14,119,120,120,101,136,137,14,119,120,120,120,120,120,117,104,105,14,14,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,135,136,136,136,136,137,14,103,118,120,120,120,121,14,119,120,120,120,120,120,101,137,14,14,119,120,120,120,121,14,14,103,104,104,104,104,104,104,104,118,120,120,120,117,104,105,14,14,14,14,14,135,102,120,101,137,14,14,14,14,14,119,120,120,120,120,120,120,117,105,14,14,135,102,120,120,120,120,120,120,101,137,14,14,14,103,104,105,14,119,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,103,104,104,105,14,119,120,101,136,136,137,14,14,14,14,103,104,104,118,120,120,120,120,120,101,137,14,14,103,118,120,120,101,137,14,14,14,14,103,105,14,14,14,14,14,14,14,119,120,120,120,120,120,121,14,14,14,14,14,119,117,105,14,14,135,102,120,121,14,14,135,136,137,14,14,14,14,14,14,14,14,103,118,120,120,120,120,121,14,14,119,121,14,103,104,104,118,120,120,120,117,105,14,14,14,103,118,120,120,120,117,104,105,14,135,136,136,136,136,136,136,136,136,136,137,14,14,103,118,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,121,14,135,136,136,136,137,14,119,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,104,104,104,104,104,104,104,105,14,14,119,120,120,120,120,101,136,102,120,120,120,120,120,120,120,120,120,120,120,117,104,104,118,120,120,120,120,120,120,120,121,14,103,104,104,104,118,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,121,14,14,
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120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,101,137,14,103,118,120,120,101,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,121,14,14,14,103,104,104,118,120,120,101,137,14,119,120,121,14,135,136,136,136,102,120,121,14,14,119,120,120,120,120,120,120,120,120,117,105,14,135,102,120,120,120,120,120,120,120,120,120,120,101,137,14,103,104,118,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,14,14,119,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,104,104,104,104,104,105,14,119,120,120,120,120,121,14,14,14,135,136,102,120,121,14,103,118,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,119,117,105,14,14,14,14,14,103,118,101,137,14,14,14,119,120,101,136,102,120,120,117,105,14,135,102,120,120,120,120,120,121,14,103,104,118,120,120,121,14,14,14,14,119,120,120,120,101,137,14,14,103,118,120,120,120,120,120,120,121,14,119,101,137,14,103,104,104,118,120,120,120,120,120,101,136,136,136,137,14,14,14,103,118,120,120,120,121,14,14,14,119,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,121,14,103,118,120,120,120,120,117,104,104,118,121,14,14,103,104,104,104,104,118,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,101,136,137,14,14,103,118,120,120,120,120,120,120,120,121,14,103,104,104,105,14,103,104,104,105,14,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,121,14,14,103,104,104,104,104,104,118,120,120,120,120,120,120,120,120,117,105,14,119,120,121,14,119,120,101,136,136,136,102,120,101,137,14,119,120,120,120,120,120,120,120,120,121,14,135,102,120,101,136,137,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,119,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,121,14,
120,120,120,120,120,120,121,14,14,14,135,102,120,120,120,101,137,14,14,119,120,120,120,121,14,14,119,120,120,120,120,120,120,120,101,136,136,136,136,102,120,120,121,14,135,136,102,120,120,120,120,120,120,117,104,104,104,118,120,120,120,120,120,121,14,14,119,120,121,14,14,14,14,14,119,120,117,105,14,135,102,120,120,120,120,120,120,120,120,121,14,14,135,136,136,102,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,103,104,104,104,105,14,119,120,120,120,121,14,135,102,120,120,120,120,120,101,136,136,136,136,136,137,14,14,103,118,120,120,120,120,120,121,14,119,120,120,120,120,117,105,14,14,14,14,119,120,121,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,118,120,117,104,104,104,104,104,118,101,137,14,14,103,104,118,120,121,14,119,120,120,120,121,14,14,135,102,120,120,120,120,121,14,119,120,120,120,120,117,104,104,104,104,118,120,120,101,137,14,14,103,118,120,120,120,120,120,120,101,137,14,119,121,14,14,119,120,120,120,120,120,101,136,136,137,14,14,14,14,14,103,104,118,120,101,136,136,137,14,14,14,135,102,120,120,120,120,101,136,136,137,14,14,119,101,136,102,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,121,14,119,120,120,120,101,136,136,136,137,14,14,135,102,120,120,120,101,136,137,14,14,14,103,118,120,101,136,102,120,120,120,120,121,14,119,120,120,121,14,119,101,136,137,14,14,119,120,120,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,137,14,135,136,137,14,119,120,121,14,14,14,119,101,137,14,14,119,120,120,120,120,120,120,120,120,121,14,14,135,136,137,14,14,14,14,14,119,120,120,120,120,120,120,101,136,136,136,136,102,120,120,120,120,120,120,120,120,117,104,104,104,118,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,117,104,
136,136,136,136,136,136,137,14,14,14,14,135,136,136,136,137,14,14,103,118,120,120,120,121,14,103,118,120,120,120,120,120,120,101,137,14,14,14,14,135,102,120,121,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,117,104,104,104,104,104,118,120,120,121,14,14,135,102,120,120,120,120,120,120,120,117,105,14,14,14,14,135,102,120,120,120,120,101,136,137,14,103,118,120,120,120,120,120,120,120,120,120,120,120,117,104,118,120,120,120,121,14,135,136,102,120,121,14,14,135,102,120,120,120,120,121,14,14,14,14,14,14,14,103,118,120,120,120,120,120,120,121,14,119,120,120,120,120,120,117,104,104,105,14,119,120,121,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,101,136,102,120,120,120,101,137,14,14,103,118,120,120,120,120,120,120,120,120,101,137,14,14,103,118,120,120,120,121,14,119,120,120,120,117,105,14,14,135,102,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,103,118,120,120,120,120,120,120,101,137,14,14,119,121,14,14,119,120,120,120,101,136,137,14,14,14,14,103,104,104,104,118,120,120,101,137,14,14,14,14,14,14,14,119,120,120,120,120,121,14,14,14,14,103,118,121,14,119,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,101,137,14,119,120,120,101,137,14,14,14,14,14,14,14,135,136,136,136,137,14,14,14,103,104,118,120,120,121,14,119,120,120,120,120,121,14,135,136,136,137,14,135,137,14,14,14,14,119,120,120,120,120,120,101,136,136,102,101,137,14,14,119,120,120,120,117,105,14,119,120,120,120,120,120,120,120,101,136,136,136,136,137,14,14,14,14,14,14,14,14,119,120,117,104,105,14,135,137,14,14,103,118,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,14,14,14,103,118,120,120,120,120,120,101,137,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,101,136,136,136,136,102,120,120,120,120,
14,14,14,14,14,14,14,14,103,105,14,14,14,14,14,14,14,103,118,120,120,120,120,121,14,119,120,120,120,120,120,120,101,137,14,14,103,105,14,14,119,120,117,104,105,14,119,120,120,120,120,120,120,120,101,136,136,102,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,136,136,136,136,136,102,120,120,117,104,104,105,14,14,135,136,136,136,136,137,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,119,120,117,105,14,14,119,120,120,120,120,121,14,14,103,104,104,104,104,118,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,121,14,119,120,117,104,118,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,135,102,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,101,137,14,14,103,118,120,120,120,120,121,14,119,120,101,136,136,137,14,14,14,135,102,120,101,137,14,119,120,120,120,101,136,136,136,136,136,136,137,14,14,14,103,118,120,120,120,120,120,120,101,137,14,14,103,118,117,105,14,135,102,101,136,137,14,14,14,103,104,104,118,120,120,101,136,136,136,137,14,14,103,104,104,105,14,103,118,120,120,120,120,121,14,103,104,104,118,120,121,14,135,102,120,120,117,105,14,135,136,102,101,136,136,102,120,120,121,14,135,102,120,120,120,101,136,102,120,121,14,14,119,120,120,121,14,14,103,104,104,104,105,14,14,14,14,14,14,14,14,14,119,120,120,120,120,121,14,135,102,120,101,136,137,14,14,14,14,14,14,14,14,14,103,105,14,135,136,102,120,120,120,121,14,14,135,137,14,14,103,118,120,120,120,120,121,14,135,102,120,120,120,120,120,101,137,14,14,14,14,14,14,103,104,104,104,104,104,104,118,120,120,120,121,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,117,104,104,104,105,14,103,104,104,118,120,120,120,120,120,120,121,14,14,103,105,14,14,119,120,120,120,101,136,102,120,120,120,120,120,101,136,136,136,136,136,137,14,14,119,120,121,14,14,14,14,119,120,120,120,120,
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136,136,102,120,120,101,137,14,119,120,120,120,120,101,136,136,102,120,120,120,120,120,120,120,120,120,101,136,102,120,120,120,120,120,120,117,104,104,118,120,120,120,117,105,14,135,136,136,136,136,136,102,120,120,120,121,14,119,120,120,120,120,120,120,101,137,14,14,14,103,104,118,120,120,120,101,136,137,14,14,103,118,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,135,136,137,14,14,103,104,118,120,120,120,120,101,137,14,14,14,14,14,14,14,14,135,136,136,137,14,103,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,117,104,105,14,103,104,105,14,103,104,104,105,14,14,119,120,120,120,121,14,14,14,14,14,14,14,14,103,104,104,104,104,104,104,104,105,14,14,14,135,102,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,121,14,14,103,118,137,14,14,103,104,105,14,14,135,136,136,136,136,102,120,120,120,120,120,120,117,105,14,135,136,136,137,14,14,14,103,104,105,14,14,14,14,135,136,136,136,102,120,120,121,14,119,120,120,120,120,121,14,135,102,120,120,120,120,117,105,14,14,14,14,14,103,118,120,120,120,117,105,14,14,14,14,14,14,119,120,101,137,14,103,118,120,121,14,119,120,117,104,105,14,14,103,104,104,104,104,105,14,103,104,104,104,104,104,118,120,101,136,137,14,14,14,14,119,120,120,120,120,121,14,14,103,118,120,120,120,120,121,14,135,102,120,120,120,120,117,105,14,14,135,102,120,120,120,121,14,14,14,119,121,14,14,103,118,120,120,101,137,14,103,118,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,14,119,120,120,120,121,14,119,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,121,14,119,117,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,121,14,119,120,120,120,117,104,105,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,
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105,14,119,101,137,14,14,103,118,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,101,137,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,120,117,104,104,105,14,103,104,104,118,120,120,120,121,14,14,14,14,135,137,14,14,14,14,103,118,120,120,120,120,120,120,121,14,14,103,104,118,120,120,120,101,137,14,14,14,14,14,14,119,120,120,120,120,120,120,101,137,14,14,103,104,104,104,118,120,120,120,120,120,101,137,14,14,103,118,120,120,120,120,117,104,104,104,105,14,103,118,120,120,120,120,120,120,121,14,14,14,14,14,14,135,102,120,101,137,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,121,14,14,119,120,120,120,121,14,119,120,120,120,121,14,14,14,14,119,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,121,14,119,101,137,14,103,118,120,120,117,104,105,14,103,104,105,14,14,14,14,14,14,14,14,14,14,14,14,14,103,104,104,104,118,120,120,120,120,120,117,104,104,104,104,104,118,120,101,137,14,119,120,120,120,120,117,105,14,135,136,102,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,120,121,14,135,137,14,14,103,118,120,120,121,14,14,119,120,120,121,14,14,119,120,120,120,120,121,14,135,136,136,136,136,136,137,14,14,14,103,104,118,120,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,117,105,14,14,14,14,14,14,14,14,14,14,14,14,14,135,136,136,136,137,14,135,136,136,136,136,136,137,14,14,14,103,118,120,120,120,120,120,120,121,14,14,135,102,120,120,121,14,14,119,120,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,14,119,120,120,120,101,137,14,14,135,102,120,120,120,120,120,101,136,136,136,136,136,136,102,120,101,137,14,14,103,118,120,120,120,120,120,120,120,121,14,135,136,102,120,120,120,117,105,14,135,137,14,14,14,14,14,119,120,120,120,120,120,101,136,136,136,136,136,136,102,120,120,120,120,120,121,14,119,120,120,120,120,
137,14,135,137,14,14,103,118,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,101,136,137,14,14,14,14,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,117,104,104,105,14,14,14,14,14,103,104,118,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,121,14,14,103,104,104,105,14,135,102,120,120,120,120,101,137,14,14,103,118,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,121,14,135,136,102,120,120,120,101,136,137,14,103,104,104,105,14,14,135,136,137,14,14,103,104,105,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,117,105,14,135,102,120,120,117,104,118,120,120,120,117,104,104,105,14,119,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,121,14,119,120,120,120,120,120,120,121,14,135,137,14,14,119,120,120,120,120,101,137,14,119,120,117,104,104,105,14,103,104,104,104,104,104,105,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,121,14,14,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,103,118,120,120,120,117,105,14,119,120,120,121,14,103,118,120,120,120,120,121,14,14,14,14,14,14,14,14,14,103,104,118,120,120,120,120,120,120,121,14,14,14,103,118,120,120,120,120,120,120,120,117,104,104,105,14,103,104,104,104,104,104,104,105,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,103,104,118,120,120,120,120,120,120,120,117,105,14,14,135,136,136,137,14,103,118,120,120,120,120,121,14,119,120,120,120,120,120,120,120,117,105,14,135,136,136,136,137,14,14,14,14,119,120,120,120,120,120,121,14,14,14,14,14,14,135,136,137,14,14,103,118,120,120,120,120,120,101,136,136,137,14,14,14,119,120,120,120,120,121,14,14,14,14,103,104,105,14,135,102,120,120,120,101,137,14,14,14,14,14,14,135,136,102,120,120,120,121,14,119,120,120,120,120,
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104,105,14,103,104,118,120,120,120,101,137,14,14,14,14,135,102,120,120,120,120,120,121,14,14,103,104,118,120,117,104,105,14,14,14,135,102,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,101,137,14,14,119,120,120,120,117,105,14,135,102,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,135,136,102,120,120,121,14,14,14,135,136,136,137,14,14,103,104,118,120,120,121,14,14,14,103,104,104,118,120,120,120,121,14,119,120,120,120,120,120,101,136,136,136,136,137,14,14,135,102,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,14,135,136,136,136,102,120,121,14,135,102,120,120,120,120,120,121,14,14,14,103,118,101,136,136,136,137,14,14,103,118,120,120,120,120,121,14,135,136,102,120,120,120,120,117,105,14,14,14,135,102,120,120,101,136,102,120,120,101,136,136,136,136,136,137,14,135,136,136,136,136,102,120,120,120,121,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,135,102,120,121,14,103,104,118,120,120,120,120,120,121,14,14,119,120,120,121,14,14,135,102,120,120,120,120,120,120,120,117,104,104,104,118,120,120,120,101,136,136,136,136,136,137,14,14,119,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,101,136,136,102,120,120,120,120,117,104,104,104,104,104,104,118,120,120,101,136,136,137,14,135,102,120,120,120,120,120,120,120,117,105,14,14,14,14,103,104,118,121,14,14,135,102,120,120,101,137,14,14,119,120,117,105,14,14,14,14,119,120,120,120,120,101,136,137,14,14,103,104,104,118,120,120,120,120,101,137,14,14,14,14,119,120,120,117,105,14,14,135,137,14,14,14,103,118,120,120,117,104,105,14,14,14,14,14,14,14,14,14,14,14,14,
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120,120,120,101,137,14,119,121,14,14,135,102,120,121,14,14,119,120,120,120,120,117,104,105,14,14,14,14,14,103,118,117,105,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,103,118,120,120,120,121,14,14,119,120,120,120,120,101,136,102,120,101,137,14,14,14,14,14,14,135,102,120,120,120,120,120,117,104,105,14,14,119,120,120,120,101,136,137,14,119,120,120,120,120,120,120,120,120,120,117,105,14,135,137,14,103,118,117,105,14,14,135,102,120,120,120,121,14,119,120,120,120,120,120,120,120,120,101,137,14,14,135,137,14,14,135,136,102,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,117,105,14,135,102,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,103,104,104,105,14,119,120,120,120,121,14,14,14,14,14,14,119,120,120,121,14,14,14,14,14,135,136,136,137,14,14,103,118,120,120,120,101,137,14,14,103,118,120,120,120,120,120,120,121,14,119,120,120,120,121,14,14,119,120,120,121,14,14,119,120,120,120,120,101,137,14,14,103,104,104,104,104,118,120,120,120,120,120,120,120,121,14,14,119,117,105,14,14,135,102,120,120,120,120,101,137,14,14,103,118,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,119,101,136,136,136,136,136,102,120,120,120,120,120,120,120,117,104,104,105,14,14,135,102,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,103,118,120,101,137,14,119,120,120,120,120,121,14,14,103,118,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,120,121,14,14,103,104,104,118,120,121,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,121,14,103,104,105,14,14,14,14,103,118,120,120,120,120,
136,136,136,137,14,14,119,117,105,14,14,135,136,137,14,103,118,120,120,120,120,120,120,117,105,14,14,14,103,118,120,120,121,14,14,103,105,14,14,119,120,120,101,136,136,136,102,120,120,120,120,121,14,14,135,136,102,120,120,101,136,102,120,120,120,120,117,105,14,119,101,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,103,104,118,120,120,120,120,117,105,14,119,120,120,120,120,121,14,119,120,121,14,14,103,104,104,105,14,14,135,136,102,120,120,120,120,120,117,105,14,119,120,120,101,137,14,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,119,120,120,117,105,14,14,119,120,120,120,117,104,118,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,121,14,119,120,101,136,136,136,136,102,120,120,120,121,14,119,120,120,120,120,121,14,14,119,120,120,120,120,121,14,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,105,14,119,120,120,121,14,119,120,120,120,121,14,103,104,104,104,104,118,120,101,137,14,103,104,105,14,14,14,14,14,14,103,118,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,121,14,119,120,120,120,117,105,14,119,120,120,117,105,14,119,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,117,105,14,14,119,120,120,101,136,137,14,14,14,135,136,102,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,101,136,137,14,135,102,120,120,120,120,120,120,121,14,119,121,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,117,105,14,14,135,136,136,136,102,120,120,120,120,120,117,104,105,14,14,103,104,118,120,120,121,14,14,135,102,120,120,101,137,14,103,118,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,117,104,105,14,14,135,136,136,102,120,120,120,120,120,120,120,120,121,14,119,120,117,104,104,104,104,118,120,120,120,120,120,
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101,137,14,119,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,101,136,136,136,136,136,136,102,120,120,121,14,14,119,101,136,136,102,120,120,117,105,14,14,119,120,120,120,120,101,136,136,137,14,14,135,102,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,121,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,105,14,14,119,120,120,120,120,117,105,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,103,118,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,105,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,135,136,102,120,117,104,104,104,104,104,105,14,119,120,120,120,120,121,14,119,101,136,102,120,120,120,120,120,120,120,120,121,14,14,135,102,117,105,14,14,119,120,120,121,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,14,119,120,120,120,121,14,119,120,120,101,137,14,14,103,104,118,120,120,117,105,14,135,102,120,121,14,14,135,102,120,120,120,120,121,14,14,119,120,120,120,120,120,101,137,14,14,14,14,14,103,104,104,118,120,120,120,120,120,120,120,120,120,101,137,14,103,104,104,104,118,120,120,120,121,14,119,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,117,105,14,14,14,135,137,14,14,14,14,135,136,137,14,14,119,120,120,120,120,117,105,14,14,14,119,120,120,120,121,14,119,120,120,121,14,14,135,102,120,120,120,121,14,103,118,117,104,104,118,120,120,120,101,137,14,103,118,120,120,120,120,121,14,14,119,120,120,120,120,101,137,14,119,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,117,105,14,119,120,117,104,104,104,104,105,14,119,120,120,120,120,120,120,101,137,14,14,14,14,135,136,136,136,137,14,119,120,120,120,120,120,120,117,104,118,120,120,120,120,120,120,
137,14,14,119,120,120,120,120,120,120,121,14,103,118,120,120,101,136,136,137,14,14,14,14,14,14,135,136,102,121,14,103,118,137,14,14,135,102,120,120,117,105,14,135,102,120,120,101,137,14,14,14,14,14,14,135,102,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,117,104,104,105,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,103,104,118,120,120,120,120,120,121,14,14,135,136,136,136,136,136,136,136,102,120,120,120,120,120,120,120,120,121,14,14,14,14,119,120,120,120,120,120,101,136,136,102,120,101,137,14,103,105,14,14,14,119,120,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,135,137,14,135,102,120,120,120,120,120,120,120,117,105,14,14,135,102,117,105,14,119,120,101,137,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,103,118,120,120,120,121,14,119,120,120,121,14,14,14,119,120,120,120,120,120,121,14,14,119,120,117,105,14,14,119,120,120,120,120,117,105,14,119,120,120,120,120,101,137,14,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,135,136,136,102,120,120,120,120,117,104,118,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,120,120,117,104,105,14,14,14,14,103,105,14,14,14,14,14,103,118,120,120,120,120,120,117,104,104,104,118,120,120,120,121,14,119,120,120,117,105,14,14,119,120,120,120,121,14,119,120,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,121,14,14,119,120,120,120,120,121,14,14,119,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,121,14,135,136,102,120,120,120,120,121,14,135,136,136,136,136,136,136,137,14,14,103,105,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
14,14,103,118,120,120,120,120,101,136,137,14,119,120,120,120,121,14,14,14,14,103,104,104,105,14,14,14,135,137,14,135,137,14,14,14,14,119,120,120,120,121,14,14,135,136,136,137,14,14,103,104,104,105,14,14,135,102,101,136,137,14,135,102,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,120,101,136,136,136,102,120,120,120,120,120,120,120,101,136,137,14,119,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,117,104,104,118,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,117,104,105,14,14,135,102,120,120,120,120,121,14,14,135,102,121,14,14,119,117,105,14,14,119,120,120,120,120,120,120,120,121,14,135,102,120,120,120,121,14,14,14,14,14,119,120,120,120,120,120,120,120,120,117,105,14,14,119,120,121,14,119,101,137,14,14,119,120,120,120,120,120,101,136,136,136,137,14,119,120,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,135,102,120,117,105,14,103,118,120,120,120,120,120,117,105,14,119,120,120,117,105,14,135,102,120,120,120,120,117,104,118,120,120,120,101,137,14,14,103,105,14,119,120,120,120,120,120,120,120,120,120,120,120,101,136,102,121,14,14,14,14,14,119,120,120,120,120,120,120,120,120,101,137,14,14,135,136,102,120,120,120,120,120,101,136,136,102,120,120,117,104,104,104,104,118,121,14,14,103,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,121,14,14,119,120,120,120,121,14,135,102,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,101,137,14,103,118,120,120,120,120,121,14,103,118,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,121,14,14,14,119,120,120,120,120,121,14,14,14,14,14,14,14,14,14,14,103,118,117,104,105,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
14,103,118,120,120,120,120,101,137,14,14,14,119,120,120,120,121,14,103,104,104,118,120,120,117,104,105,14,14,14,14,14,14,14,103,105,14,135,102,101,136,137,14,14,14,14,14,14,14,103,118,120,120,117,105,14,14,135,137,14,14,14,14,135,136,136,136,136,102,120,120,120,120,120,121,14,14,119,120,120,120,120,120,101,136,137,14,14,14,14,135,102,120,120,120,120,120,101,137,14,14,14,135,102,120,120,120,120,120,120,121,14,14,14,119,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,104,104,105,14,103,105,14,14,135,102,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,120,117,105,14,14,135,137,14,103,118,120,117,105,14,119,120,120,120,120,120,120,120,121,14,14,119,120,101,136,137,14,14,14,14,103,118,120,120,120,120,120,101,136,136,136,117,105,14,135,102,121,14,135,137,14,14,103,118,120,120,120,120,101,137,14,14,14,14,14,119,120,120,120,120,120,101,136,137,14,119,120,120,120,120,121,14,14,119,120,101,137,14,119,120,120,120,120,120,120,120,121,14,119,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,101,137,14,14,103,118,121,14,135,102,120,120,120,120,120,120,120,120,120,120,121,14,119,121,14,14,103,105,14,119,120,120,120,120,120,120,120,101,137,14,14,14,14,14,135,136,102,120,101,136,137,14,14,119,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,101,136,136,136,136,136,136,136,102,120,120,121,14,14,135,136,102,121,14,14,135,136,102,120,121,14,14,135,102,120,120,120,120,120,117,105,14,119,120,120,120,120,120,121,14,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,117,104,105,14,119,120,120,120,120,121,14,103,104,104,104,104,104,104,104,104,118,120,120,120,117,105,14,14,14,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,
104,118,120,120,120,120,101,137,14,14,14,103,118,120,120,120,121,14,119,120,120,120,120,120,120,120,117,104,104,105,14,14,14,103,118,121,14,14,119,121,14,14,14,14,14,103,104,104,104,118,120,120,120,120,117,105,14,14,14,14,103,105,14,14,14,14,14,14,135,136,136,136,136,136,137,14,103,118,120,120,120,120,101,137,14,14,14,103,105,14,14,119,120,120,101,136,102,121,14,14,14,14,14,135,102,120,120,120,120,120,121,14,103,104,118,120,120,120,120,120,120,120,120,101,137,14,135,136,136,136,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,121,14,119,117,105,14,14,135,102,120,120,120,120,120,120,120,120,120,117,105,14,135,102,120,120,120,120,117,105,14,14,14,14,119,120,120,120,121,14,119,120,120,101,136,136,136,136,137,14,14,135,136,137,14,14,14,14,14,14,119,120,120,120,120,101,136,137,14,14,14,135,137,14,14,135,137,14,14,14,14,103,118,120,120,120,101,136,137,14,14,14,103,104,104,118,120,120,120,120,101,137,14,14,14,119,120,120,120,120,121,14,14,119,120,121,14,14,119,120,120,120,120,120,120,120,121,14,119,120,120,120,117,105,14,135,136,102,120,120,120,120,120,120,101,137,14,14,103,118,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,119,121,14,14,119,121,14,135,136,136,102,120,120,120,120,121,14,14,103,104,105,14,14,14,135,136,137,14,14,14,103,118,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,101,137,14,14,14,14,14,14,14,135,136,136,137,14,14,14,14,135,137,14,14,14,14,119,120,117,105,14,14,119,120,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,103,118,120,120,120,120,120,121,14,119,120,120,101,136,136,136,137,14,135,102,120,120,120,120,120,120,101,136,136,136,137,14,14,119,120,120,120,120,120,120,120,120,117,104,118,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,105,14,14,14,14,135,102,120,120,120,120,120,120,120,101,136,136,136,136,
120,120,120,120,120,120,121,14,14,14,103,118,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,117,104,104,118,117,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,121,14,103,104,104,118,117,104,104,104,105,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,101,137,14,14,103,104,118,117,105,14,135,136,102,121,14,135,137,14,103,104,105,14,14,119,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,101,136,137,14,14,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,117,104,118,120,117,105,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,117,105,14,14,14,119,120,120,120,117,104,118,120,120,121,14,14,14,14,14,14,14,14,14,14,14,103,104,104,105,14,119,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,14,14,103,104,104,118,120,120,120,120,121,14,14,14,103,104,118,120,120,120,120,120,120,101,137,14,14,14,103,118,120,120,120,120,117,105,14,119,120,117,105,14,119,120,120,120,120,120,120,120,121,14,135,102,120,120,120,121,14,14,14,119,120,120,120,120,120,120,121,14,14,103,118,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,121,14,135,137,14,14,119,121,14,14,14,14,135,136,136,102,101,137,14,103,118,120,117,105,14,14,14,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,14,103,104,104,104,105,14,14,14,14,14,14,103,105,14,14,14,14,103,105,14,135,102,120,117,105,14,119,120,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,121,14,135,102,101,137,14,14,14,14,14,14,135,136,102,120,120,120,120,121,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,105,14,14,119,120,120,120,120,120,120,101,137,14,14,14,14,
120,120,120,120,120,101,137,14,14,14,135,102,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,102,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,117,104,105,14,14,14,103,104,104,104,104,118,120,120,101,136,137,14,14,103,118,120,120,120,121,14,14,14,135,137,14,14,14,14,119,120,117,105,14,135,102,120,120,120,120,121,14,14,119,120,120,120,120,120,101,136,137,14,14,14,103,104,104,104,104,104,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,135,136,102,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,120,121,14,103,104,104,104,104,104,104,104,104,104,118,120,120,121,14,135,102,120,120,121,14,14,103,104,104,104,104,104,104,104,104,104,104,118,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,121,14,14,103,104,118,120,120,120,120,120,101,137,14,135,136,102,121,14,119,120,120,120,120,120,120,120,121,14,14,119,120,120,120,117,104,105,14,135,136,136,136,136,136,136,137,14,14,119,120,120,120,120,121,14,119,120,120,120,120,120,120,101,136,136,136,137,14,14,14,14,14,119,117,104,104,105,14,14,14,14,135,137,14,14,119,120,120,120,117,104,104,105,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,101,137,14,135,136,102,120,120,120,121,14,103,118,120,120,120,117,104,104,104,104,104,104,118,117,104,105,14,14,119,121,14,14,135,136,136,137,14,135,102,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,121,14,14,135,137,14,14,103,104,104,105,14,14,14,119,120,120,120,120,117,104,104,104,105,14,119,120,120,120,120,120,101,136,136,136,136,102,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,101,137,14,14,103,104,104,
136,136,136,136,136,137,14,14,14,14,14,135,136,102,120,120,117,105,14,14,135,136,136,136,136,136,136,136,136,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,117,105,14,103,118,120,120,120,120,120,120,120,121,14,14,14,103,118,120,120,120,120,117,104,105,14,14,14,14,103,104,104,118,120,120,121,14,14,135,102,120,120,120,121,14,14,119,120,120,120,120,120,121,14,14,14,103,104,118,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,101,136,136,136,137,14,135,136,136,102,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,135,102,120,120,120,120,117,105,14,119,120,120,120,120,120,120,101,136,137,14,135,136,136,136,136,102,120,120,120,120,120,120,120,121,14,14,135,136,136,137,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,121,14,14,14,14,135,137,14,119,120,120,120,101,136,136,136,137,14,14,119,120,120,120,120,120,121,14,14,14,14,14,14,14,14,14,14,103,118,120,120,120,101,137,14,119,120,120,120,120,101,136,137,14,14,14,14,14,103,104,104,104,118,120,120,120,117,104,104,105,14,14,14,14,103,118,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,135,102,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,135,137,14,14,14,14,14,14,14,14,119,120,101,136,136,136,137,14,135,136,136,136,136,136,137,14,119,120,120,120,120,120,120,117,105,14,14,14,14,103,118,120,120,117,104,105,14,119,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,14,14,14,119,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,101,137,14,14,103,118,120,120,
14,14,14,14,14,14,14,103,104,105,14,14,14,119,120,120,120,117,105,14,14,14,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,121,14,103,104,118,120,120,120,120,120,120,120,117,105,14,14,14,119,120,120,120,120,120,117,105,14,14,135,136,102,120,121,14,14,135,136,136,102,120,120,121,14,103,104,118,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,101,136,137,14,14,14,14,14,14,14,14,135,136,102,120,120,101,136,136,137,14,135,136,102,120,120,120,120,120,120,120,101,137,14,103,105,14,14,119,120,120,120,120,120,121,14,119,120,120,120,101,136,136,137,14,14,14,14,14,14,14,14,135,136,102,120,120,120,120,120,117,105,14,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,117,104,105,14,14,14,14,14,119,120,120,101,137,14,14,14,14,14,14,119,120,120,120,120,101,137,14,14,103,104,105,14,14,14,14,103,118,120,120,120,101,137,14,14,119,120,120,120,101,137,14,14,14,103,104,104,104,118,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,135,102,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,105,14,14,119,120,101,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,103,104,104,104,104,104,118,120,121,14,14,14,14,14,14,14,14,14,14,14,14,14,135,136,136,136,102,120,120,120,117,104,104,104,104,118,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,101,137,14,14,103,104,118,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,101,136,136,136,136,136,136,137,14,135,136,136,136,136,137,14,14,103,118,120,120,120,
104,104,104,104,104,104,104,118,120,117,105,14,14,135,102,120,120,120,117,104,104,104,105,14,103,104,104,104,104,104,105,14,135,136,102,120,120,120,120,120,101,136,136,136,136,102,117,105,14,135,102,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,101,136,102,121,14,119,120,120,120,120,120,120,120,120,120,120,117,104,104,104,118,120,120,120,120,120,120,117,105,14,14,14,135,102,117,105,14,14,14,14,135,136,102,121,14,119,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,101,137,14,14,14,103,104,105,14,14,14,14,14,14,119,120,120,121,14,14,14,14,14,14,135,136,136,102,120,120,120,101,137,14,14,119,117,105,14,119,120,120,120,120,120,121,14,119,120,120,120,121,14,14,14,14,103,104,104,104,104,105,14,14,14,135,136,136,136,102,120,120,121,14,103,104,104,104,104,105,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,135,136,136,136,136,102,120,120,120,120,121,14,135,136,102,120,120,120,120,120,120,120,120,117,104,104,104,104,104,118,120,120,121,14,14,103,104,105,14,14,119,120,120,120,101,137,14,14,103,118,120,117,104,104,104,104,118,120,120,101,136,137,14,14,103,118,120,120,120,121,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,101,136,102,117,105,14,14,14,119,120,120,120,120,120,120,121,14,119,120,101,136,136,136,136,136,136,136,136,136,136,137,14,14,119,117,105,14,135,136,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,103,118,120,120,120,120,120,120,120,121,14,103,104,104,104,104,104,104,104,104,104,105,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,135,136,136,136,136,102,120,120,120,121,14,14,135,136,102,120,121,14,14,103,118,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,101,136,137,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,103,118,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,102,120,120,120,120,120,101,137,14,119,120,120,120,120,120,121,14,14,14,119,120,120,120,120,120,121,14,14,14,14,135,102,121,14,14,135,136,136,137,14,103,118,120,120,120,120,120,120,120,120,120,120,120,117,105,14,135,136,102,120,120,121,14,119,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,119,120,117,104,104,105,14,14,14,135,137,14,119,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,120,120,121,14,14,103,104,118,120,117,104,104,104,104,104,104,118,120,101,137,14,103,104,104,105,14,14,14,14,119,120,101,136,137,14,14,103,118,120,121,14,119,120,120,101,136,136,137,14,135,136,136,136,137,14,103,104,104,118,120,120,120,120,117,104,105,14,14,14,14,14,119,120,120,117,104,118,120,120,120,120,117,105,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,119,120,120,120,120,121,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,117,105,14,135,136,136,136,137,14,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,14,14,103,118,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,117,105,14,14,119,120,120,120,120,120,120,121,14,135,136,137,14,14,14,14,14,14,14,14,14,14,14,14,103,118,120,121,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,102,120,120,120,120,120,101,136,137,14,119,120,120,120,120,120,120,120,120,120,117,104,105,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,14,14,119,120,120,120,117,105,14,14,14,135,102,121,14,14,119,120,120,120,120,120,120,120,120,101,137,14,135,136,102,120,120,120,120,120,120,101,137,14,14,14,103,104,104,104,104,104,105,14,14,14,14,14,103,104,118,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,101,136,137,14,14,119,120,120,120,120,120,117,104,104,104,118,120,120,120,120,101,137,14,103,105,14,14,119,117,105,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,101,136,136,136,137,14,14,14,135,136,136,137,14,119,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,120,117,104,105,14,14,14,14,119,120,101,136,136,102,120,120,101,137,14,14,119,120,120,120,120,120,121,14,103,118,120,120,120,120,120,101,136,102,120,120,120,120,121,14,14,119,120,120,117,104,104,105,14,135,136,137,14,14,14,103,118,120,120,121,14,135,136,136,137,14,14,14,14,14,14,14,14,14,14,135,136,136,102,120,120,120,120,120,120,117,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,120,120,120,101,136,136,137,14,14,103,104,104,104,105,14,135,102,120,120,120,121,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,137,14,119,120,120,120,121,14,14,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,121,14,103,104,118,120,120,101,136,136,137,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,117,105,14,135,102,120,120,120,120,120,121,14,14,14,14,14,103,104,104,104,104,105,14,14,103,104,104,118,120,120,121,14,14,103,104,104,104,118,120,120,120,120,120,101,136,136,136,136,136,102,120,120,120,120,120,117,105,14,14,135,102,120,120,120,101,137,14,14,14,119,120,120,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,104,104,104,104,105,14,119,120,120,120,120,117,104,105,14,14,119,117,105,14,135,136,102,120,120,120,120,120,101,137,14,14,14,14,135,136,136,102,120,120,120,121,14,14,103,104,118,120,120,120,120,120,121,14,14,14,103,104,118,120,120,120,120,120,120,120,
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120,120,120,101,137,14,14,14,119,120,120,120,120,117,105,14,14,14,103,104,104,118,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,103,104,104,118,120,120,121,14,14,14,135,137,14,119,120,120,120,120,101,137,14,14,135,102,120,120,121,14,103,104,104,118,120,120,121,14,119,120,120,120,120,121,14,119,101,137,14,14,14,103,105,14,103,104,104,104,118,101,136,136,102,120,120,120,120,120,120,121,14,103,104,105,14,14,14,135,102,120,120,120,120,121,14,119,120,120,117,104,104,104,104,105,14,119,120,120,120,101,136,137,14,14,14,14,135,136,136,102,120,120,117,105,14,135,102,120,120,117,105,14,14,135,136,102,120,120,120,121,14,14,135,102,120,120,120,120,120,121,14,103,105,14,119,120,120,120,120,121,14,119,120,120,120,120,120,117,105,14,14,14,135,136,136,136,136,136,136,136,136,137,14,14,14,14,119,120,120,121,14,119,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,117,105,14,135,102,120,120,120,121,14,14,103,104,104,105,14,14,14,14,119,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,14,14,14,135,136,136,102,120,120,120,120,120,120,120,121,14,14,103,118,120,120,117,104,105,14,14,14,135,136,136,102,120,120,120,120,120,121,14,14,119,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,117,105,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,101,137,14,14,14,14,135,102,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,119,120,120,121,14,103,118,120,120,120,120,120,120,120,101,136,137,14,14,14,14,119,120,120,120,120,120,121,14,14,119,120,120,120,101,137,14,14,14,14,14,14,
136,136,136,137,14,14,103,104,118,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,117,104,105,14,14,14,14,119,120,120,120,101,137,14,14,14,14,119,120,120,121,14,119,120,120,120,120,120,121,14,135,102,120,120,120,121,14,135,137,14,14,14,14,135,137,14,119,120,120,120,120,121,14,14,135,102,120,120,120,120,120,121,14,119,120,117,104,105,14,14,119,120,120,120,120,121,14,119,120,120,120,120,120,120,101,137,14,119,101,136,136,137,14,14,14,103,105,14,14,14,14,135,102,120,120,121,14,14,119,120,120,120,117,105,14,14,14,135,102,120,120,117,105,14,14,135,136,102,120,120,120,121,14,119,121,14,119,120,120,120,120,121,14,119,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,103,104,118,120,120,121,14,119,120,120,120,117,105,14,119,101,136,136,136,136,136,136,102,121,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,135,136,136,136,137,14,103,118,120,120,117,104,105,14,14,135,136,136,136,136,136,102,120,121,14,135,102,120,120,120,120,120,120,120,117,104,104,104,104,104,104,104,105,14,14,14,14,14,119,120,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,117,104,105,14,14,14,14,119,120,120,120,120,101,137,14,14,119,120,120,120,120,121,14,119,120,120,120,101,136,136,102,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,135,102,120,120,120,120,120,120,117,105,14,14,103,104,104,118,120,120,120,120,101,136,136,102,120,120,120,120,120,121,14,119,120,120,120,120,120,120,101,137,14,14,103,105,14,14,135,136,102,120,120,101,137,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,105,14,119,120,120,121,14,119,120,120,120,120,120,120,120,101,137,14,14,14,103,105,14,135,102,120,120,120,120,121,14,14,119,120,120,101,137,14,14,103,104,104,104,104,
14,14,14,14,14,103,118,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,101,136,136,136,102,120,120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,117,104,104,104,104,118,120,120,101,137,14,14,103,105,14,135,102,120,121,14,119,120,120,120,120,120,121,14,14,135,136,102,120,121,14,14,14,14,103,105,14,14,14,14,119,120,120,120,120,117,105,14,14,119,120,120,120,120,120,121,14,119,120,120,120,117,105,14,119,120,120,120,120,121,14,119,120,120,120,120,120,120,121,14,14,135,137,14,14,14,14,103,104,118,117,104,104,105,14,14,119,120,120,117,105,14,119,120,120,120,120,117,104,105,14,14,119,120,120,120,117,105,14,14,14,119,120,120,120,117,104,118,121,14,119,120,120,120,120,121,14,119,120,120,101,136,136,137,14,14,103,105,14,103,104,104,104,105,14,103,104,104,105,14,119,120,120,120,120,121,14,119,120,120,120,120,121,14,135,137,14,14,14,14,14,14,135,137,14,135,136,136,102,120,120,120,120,120,120,120,117,105,14,14,14,14,14,14,14,119,120,120,120,120,120,117,105,14,14,14,14,14,14,14,119,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,105,14,135,136,136,136,136,102,120,121,14,14,119,120,120,120,120,120,120,120,120,117,104,104,104,104,118,120,120,101,136,137,14,14,14,135,102,120,120,101,137,14,119,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,101,136,136,136,136,136,136,136,137,14,14,135,136,136,102,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,101,137,14,135,136,136,136,102,120,120,121,14,14,103,118,117,105,14,14,14,135,102,101,137,14,14,14,119,120,120,120,120,101,136,102,120,120,120,120,120,120,101,136,136,137,14,135,136,136,137,14,119,120,120,120,120,120,120,101,137,14,14,103,104,118,121,14,14,135,102,120,120,120,117,105,14,135,102,120,121,14,14,103,118,120,120,120,120,
104,104,104,105,14,119,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,101,136,137,14,14,14,135,102,120,120,120,120,120,120,117,105,14,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,118,121,14,14,119,120,121,14,119,120,120,120,120,120,117,105,14,14,14,135,136,137,14,14,14,103,118,117,104,104,105,14,119,120,120,120,120,120,117,105,14,135,102,120,120,120,120,121,14,119,120,120,120,120,121,14,119,120,120,120,120,121,14,119,120,120,120,120,120,120,117,105,14,14,14,14,103,104,104,118,120,120,120,120,120,117,105,14,119,120,120,120,121,14,135,102,120,120,120,120,120,117,105,14,119,120,120,120,120,117,104,104,104,118,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,135,136,136,137,14,14,14,14,14,135,137,14,119,120,120,120,121,14,119,120,120,121,14,135,136,102,120,120,121,14,119,120,120,120,120,121,14,14,14,14,103,104,104,105,14,14,14,14,14,14,14,135,102,120,120,101,136,102,120,120,117,104,105,14,14,103,104,104,118,120,120,120,120,120,120,121,14,14,14,103,104,105,14,119,120,117,105,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,119,101,137,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,119,120,120,121,14,14,119,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,121,14,119,120,120,120,120,120,120,120,101,137,14,103,118,120,120,120,101,137,14,14,14,14,14,14,135,136,136,137,14,14,119,120,120,117,104,105,14,14,135,137,14,14,14,14,119,120,120,120,120,121,14,119,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,121,14,14,103,118,120,120,117,105,14,14,135,102,120,120,120,121,14,14,135,136,137,14,14,119,120,120,120,120,120,
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136,136,137,14,14,135,136,102,120,120,121,14,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,14,14,14,14,119,120,120,120,120,117,104,104,105,14,14,135,136,102,120,120,120,120,120,101,137,14,14,103,104,105,14,135,136,137,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,101,136,137,14,14,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,121,14,14,103,105,14,119,120,120,101,136,136,136,136,136,136,137,14,14,14,14,14,14,14,14,119,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,102,120,121,14,119,120,120,120,120,120,120,120,120,117,104,105,14,103,118,120,120,117,105,14,14,119,120,120,120,117,105,14,119,120,117,105,14,14,14,135,136,137,14,14,119,120,117,104,105,14,135,136,136,136,136,136,136,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,101,136,136,136,102,120,101,137,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,136,136,136,137,14,103,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,117,105,14,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,14,135,136,137,14,103,118,120,120,120,121,14,14,14,14,103,104,104,105,14,14,135,102,120,120,120,101,137,14,14,103,118,120,120,120,121,14,14,14,14,103,118,117,104,104,105,14,14,135,102,120,120,120,120,120,120,117,105,14,14,135,137,14,14,14,14,119,120,120,120,120,101,137,14,119,120,120,120,120,120,121,14,103,104,105,14,119,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,121,14,103,104,104,104,104,104,104,118,120,120,120,120,121,14,119,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,117,105,14,135,102,120,120,120,120,120,117,105,14,119,120,120,120,121,14,119,120,120,120,120,
14,14,14,14,14,14,14,119,120,120,117,105,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,103,104,105,14,135,102,120,120,120,120,120,120,117,105,14,14,14,119,120,120,120,120,120,121,14,14,103,118,120,121,14,14,14,14,14,103,104,104,104,104,104,105,14,119,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,120,117,105,14,14,135,102,120,120,120,120,121,14,14,14,103,105,14,14,103,104,105,14,14,135,102,120,120,120,120,120,101,137,14,103,118,121,14,119,120,120,121,14,14,14,14,14,14,14,14,103,104,104,104,104,104,104,118,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,119,120,121,14,119,120,120,101,136,102,120,120,120,120,101,137,14,119,120,120,120,120,117,105,14,135,102,120,120,120,121,14,119,120,120,117,104,105,14,14,14,14,14,103,118,120,120,101,137,14,14,14,14,14,14,14,14,14,14,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,135,102,120,120,120,121,14,14,14,135,136,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,101,136,136,102,120,120,120,120,117,105,14,135,102,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,119,120,120,120,120,121,14,103,104,104,118,120,120,117,105,14,14,119,120,120,120,121,14,14,103,118,120,120,120,120,121,14,14,103,104,118,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,117,105,14,14,14,14,103,105,14,119,120,120,120,120,121,14,14,119,120,120,120,120,120,121,14,119,120,121,14,119,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,101,137,14,14,103,118,120,120,120,120,120,120,120,120,121,14,14,135,136,136,102,120,120,120,121,14,119,120,120,120,121,14,119,120,120,120,120,
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136,136,137,14,14,14,14,135,136,102,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,119,120,120,120,120,120,120,120,120,121,14,14,14,14,103,104,104,105,14,135,102,120,120,120,120,120,120,121,14,14,135,137,14,119,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,101,137,14,135,136,137,14,14,119,120,117,105,14,119,120,117,105,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,119,101,137,14,103,118,120,120,117,104,105,14,103,104,105,14,14,14,14,14,14,14,14,14,14,14,14,14,103,104,104,104,118,120,120,120,120,120,117,104,104,104,104,104,118,120,101,137,14,119,120,120,120,120,117,105,14,135,136,102,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,120,121,14,135,137,14,14,103,118,120,120,121,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,117,104,118,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,103,118,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,121,14,14,14,103,118,120,120,120,120,120,120,121,14,14,103,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,104,104,104,118,120,120,120,117,104,118,120,120,120,101,136,137,14,14,14,119,120,120,120,117,104,118,120,120,101,137,14,14,14,14,135,136,102,120,120,120,120,101,136,137,14,135,136,136,136,136,102,120,120,120,121,14,14,14,14,119,120,117,105,14,119,120,120,120,101,137,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,101,136,102,120,120,121,14,103,118,120,120,120,120,120,120,101,136,102,101,137,14,103,118,117,105,14,119,120,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,120,120,121,14,103,118,120,120,120,121,14,119,120,120,120,120,101,137,14,14,103,118,120,120,120,120,120,120,
14,14,14,14,103,105,14,14,14,119,120,120,120,121,14,119,120,120,120,101,136,136,102,120,120,120,120,117,105,14,14,103,104,118,120,101,136,136,102,120,120,120,121,14,103,104,104,118,120,120,121,14,14,135,102,120,120,120,120,120,117,105,14,14,14,14,119,120,120,120,121,14,14,119,120,120,120,120,120,120,101,136,136,137,14,14,14,14,14,14,103,118,120,120,121,14,119,120,120,121,14,119,120,120,120,120,120,121,14,135,136,136,102,120,120,120,120,121,14,135,137,14,14,119,120,120,120,120,101,137,14,119,120,117,104,104,105,14,103,104,104,104,104,104,105,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,121,14,14,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,103,118,120,120,120,117,105,14,103,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,101,136,136,136,136,102,120,120,120,101,137,14,14,103,104,118,120,120,120,120,120,120,121,14,14,135,102,101,136,136,136,136,137,14,103,104,118,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,103,104,118,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,135,102,120,120,120,121,14,14,14,14,14,14,14,14,119,120,120,120,117,104,104,104,104,118,120,120,121,14,119,120,120,101,137,14,14,103,105,14,14,135,102,120,120,120,101,136,136,102,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,119,120,120,121,14,119,120,120,120,120,120,101,136,137,14,135,137,14,14,119,120,120,121,14,135,102,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,121,14,119,120,120,120,120,121,14,119,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,
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136,137,14,14,14,103,118,101,136,137,14,14,119,120,120,120,120,120,120,120,120,120,117,105,14,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,105,14,14,14,119,120,120,120,120,101,137,14,103,118,120,117,105,14,119,120,120,120,120,120,101,137,14,119,121,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,103,118,120,120,117,105,14,14,14,14,119,117,105,14,14,119,120,120,120,120,120,120,120,120,117,105,14,135,102,120,121,14,14,135,102,120,101,137,14,14,14,14,14,135,136,102,120,121,14,119,120,120,120,120,120,120,120,117,104,104,104,104,104,104,104,118,120,120,101,136,137,14,14,14,103,118,120,120,120,101,137,14,119,120,120,101,137,14,14,14,14,14,14,14,103,118,120,120,120,120,101,137,14,14,14,14,119,120,120,120,120,120,120,121,14,14,119,120,120,121,14,14,119,120,120,120,101,136,136,136,136,102,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,101,136,136,137,14,14,119,120,120,120,120,120,121,14,14,14,14,14,103,104,118,120,120,120,117,105,14,135,136,136,137,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,101,137,14,14,119,120,120,120,120,120,120,120,101,136,137,14,14,103,104,104,105,14,135,102,120,120,120,120,121,14,135,136,136,102,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,101,136,137,14,14,14,14,119,120,120,120,120,121,14,103,118,120,120,120,120,120,101,136,136,136,137,14,14,119,120,120,120,120,120,120,117,105,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,105,14,14,103,105,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,117,105,14,103,104,105,14,119,120,120,121,14,14,103,118,120,120,120,117,104,105,14,119,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,117,104,104,104,
14,14,14,103,104,118,120,121,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,135,136,136,136,102,120,101,136,136,136,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,105,14,135,102,120,120,120,121,14,14,119,120,120,120,121,14,135,136,102,120,120,101,137,14,14,119,117,104,105,14,14,119,101,136,136,136,136,136,102,120,120,120,101,137,14,14,14,103,118,120,120,120,120,117,104,104,105,14,135,136,137,14,103,118,120,120,120,120,120,120,120,101,136,137,14,14,135,102,117,105,14,14,135,136,137,14,14,103,104,105,14,14,14,135,136,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,14,103,104,118,120,120,120,120,121,14,14,119,120,120,121,14,14,103,104,105,14,14,103,118,120,120,120,120,120,121,14,14,103,104,104,118,120,120,120,120,120,120,117,105,14,119,120,101,137,14,103,118,120,120,120,121,14,14,14,14,119,120,120,120,120,120,120,120,121,14,14,135,136,136,102,120,120,120,120,120,101,136,137,14,14,135,136,102,120,120,120,120,120,101,136,137,14,14,14,14,103,118,120,120,120,120,120,117,105,14,14,14,103,118,120,120,120,120,120,120,121,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,121,14,135,136,137,14,14,14,135,102,120,120,120,120,120,120,121,14,14,14,103,118,120,120,121,14,14,135,102,120,120,120,121,14,14,14,14,119,101,136,136,136,137,14,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,121,14,14,14,103,104,104,118,120,120,120,120,121,14,119,120,120,120,120,120,101,137,14,14,14,14,14,103,118,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,121,14,14,103,104,104,118,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,121,14,119,120,120,121,14,103,118,120,120,120,120,120,120,121,14,119,120,120,120,120,101,136,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,
104,104,104,118,120,120,120,121,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,117,104,105,14,14,14,14,14,135,136,137,14,14,14,14,14,14,135,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,121,14,103,118,120,120,120,121,14,14,14,119,101,136,137,14,14,103,118,120,120,121,14,14,135,137,14,14,14,14,14,119,120,120,101,137,14,14,103,104,118,120,120,120,120,120,120,120,120,121,14,14,14,14,14,119,120,120,120,120,101,136,136,136,137,14,14,14,14,14,119,120,117,105,14,14,14,14,14,103,118,120,117,104,105,14,14,14,14,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,14,103,104,118,120,120,120,120,120,101,137,14,103,118,120,101,137,14,103,118,120,117,105,14,119,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,101,136,136,136,136,137,14,135,136,137,14,14,119,120,120,120,120,121,14,103,105,14,135,102,120,120,120,120,120,120,121,14,14,14,14,14,135,102,120,120,101,136,137,14,14,14,14,14,14,135,102,120,120,120,101,137,14,14,14,103,104,104,118,120,120,120,120,120,120,120,121,14,14,14,135,136,136,136,102,120,120,120,117,104,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,14,135,136,102,120,120,120,101,137,14,103,104,118,120,120,120,117,105,14,14,119,120,120,120,117,104,105,14,103,118,121,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,117,104,105,14,119,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,121,14,14,103,105,14,103,118,120,120,120,120,120,120,120,120,117,105,14,135,102,120,120,120,120,120,120,120,120,101,136,102,120,120,120,120,120,101,137,14,119,120,121,14,103,118,120,120,120,120,120,120,101,136,136,136,136,136,136,137,14,14,119,120,117,104,118,120,120,117,104,118,120,120,120,120,120,120,120,121,14,119,120,120,101,136,137,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,121,14,135,102,120,120,101,136,136,136,136,136,136,136,136,102,120,120,120,117,104,104,104,105,14,14,14,14,14,103,104,104,105,14,14,14,14,14,135,136,136,102,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,121,14,119,120,120,120,120,117,104,105,14,135,137,14,14,14,103,118,120,120,120,117,105,14,14,14,14,103,104,104,104,118,120,120,121,14,14,103,118,120,120,101,136,136,102,120,120,120,120,117,104,105,14,103,104,118,120,120,120,101,137,14,14,14,14,14,103,104,105,14,135,102,120,117,104,105,14,14,14,119,120,120,120,120,117,104,104,104,105,14,14,14,135,136,136,136,136,136,136,102,120,101,136,136,136,137,14,14,14,14,14,135,136,136,102,120,120,120,120,121,14,14,119,120,120,121,14,14,119,120,120,120,121,14,135,102,120,120,120,120,121,14,14,119,120,120,120,101,136,136,137,14,14,14,14,14,14,14,14,14,14,103,118,120,120,120,120,121,14,119,121,14,14,119,120,120,120,120,120,120,117,104,104,104,105,14,14,135,102,101,137,14,14,14,103,104,104,105,14,14,135,102,120,101,137,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,117,104,105,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,136,136,136,137,14,14,14,14,103,104,105,14,14,14,119,120,120,120,121,14,14,119,120,120,120,120,120,120,121,14,14,119,120,120,120,120,101,137,14,119,120,117,104,105,14,14,103,118,120,120,120,120,120,101,136,136,136,137,14,14,119,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,14,119,120,120,120,101,137,14,103,118,121,14,135,102,120,120,120,120,120,120,120,120,120,121,14,14,135,136,136,136,102,120,120,101,136,137,14,135,102,120,120,101,136,137,14,14,119,120,121,14,119,120,120,120,120,101,136,136,137,14,14,14,14,14,14,14,14,103,118,120,120,120,120,120,120,101,136,102,120,120,120,120,120,120,120,121,14,119,120,101,137,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,
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120,120,120,120,121,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,101,136,136,136,136,136,136,136,136,137,14,14,14,103,104,118,120,120,101,136,136,136,136,137,14,119,120,120,120,120,120,121,14,14,135,137,14,14,119,120,120,120,120,120,120,120,117,104,118,117,104,104,118,120,120,101,137,14,14,119,120,120,120,101,137,14,103,104,105,14,14,119,120,120,120,101,136,137,14,119,120,120,120,121,14,103,118,120,120,120,120,121,14,14,14,14,135,136,136,136,136,136,102,120,101,136,136,102,120,120,121,14,14,103,118,121,14,119,120,120,121,14,119,120,120,120,121,14,119,120,120,120,120,120,101,137,14,14,119,120,117,104,104,104,104,104,104,118,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,119,120,120,120,121,14,119,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,117,105,14,135,102,101,137,14,14,14,14,14,14,14,119,120,120,120,120,101,136,136,137,14,14,119,120,120,120,120,120,120,101,136,137,14,14,14,14,119,120,120,120,120,120,120,121,14,135,137,14,14,103,105,14,14,135,102,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,119,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,118,120,121,14,14,14,14,14,14,14,135,102,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,101,137,14,14,119,120,120,121,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,103,104,118,120,120,120,121,14,14,14,14,103,104,104,118,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,136,136,136,136,102,120,120,120,117,104,105,14,14,135,102,120,120,120,120,120,117,104,104,104,104,104,118,120,120,121,14,14,14,14,14,14,14,14,14,
120,120,120,120,121,14,103,104,118,120,120,120,120,101,136,136,136,136,136,136,137,14,135,136,136,136,136,136,136,136,136,136,137,14,14,14,14,14,14,14,14,14,14,103,104,118,120,120,101,136,137,14,14,14,14,14,14,119,120,120,120,120,120,117,105,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,118,120,120,120,121,14,14,119,120,117,104,104,118,120,120,120,121,14,14,14,119,120,120,120,121,14,119,120,120,120,120,120,121,14,103,105,14,14,14,14,14,14,14,135,136,137,14,14,119,120,120,121,14,103,118,120,121,14,119,120,120,121,14,119,120,120,120,121,14,135,102,120,120,120,101,137,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,135,136,136,136,136,136,102,120,120,120,121,14,119,120,120,120,120,121,14,135,102,120,120,121,14,119,120,120,120,121,14,14,119,120,120,120,101,136,136,136,102,120,120,120,120,120,121,14,14,119,120,120,120,120,121,14,14,135,137,14,14,103,104,104,104,105,14,135,102,120,120,101,137,14,14,14,14,103,118,120,120,120,120,120,101,137,14,14,14,14,14,14,135,136,102,120,120,120,101,137,14,14,14,14,103,118,117,105,14,14,135,136,136,136,102,120,120,120,120,120,120,117,104,104,104,105,14,14,135,102,120,120,120,120,120,120,120,101,136,136,137,14,14,103,118,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,104,104,104,105,14,14,119,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,101,137,14,14,14,119,120,120,121,14,103,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,117,104,104,104,104,118,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,119,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,104,104,104,104,104,104,
136,136,136,136,137,14,135,136,136,136,136,136,136,137,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,103,104,104,104,104,104,104,104,104,118,120,120,120,120,121,14,14,14,103,105,14,103,104,118,120,120,120,120,120,120,117,105,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,121,14,103,104,118,120,101,136,137,14,119,120,120,120,120,120,121,14,119,117,104,104,104,104,104,105,14,14,14,14,14,103,118,120,120,117,104,118,120,120,121,14,119,120,120,121,14,119,120,120,120,121,14,14,135,136,136,136,137,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,119,120,120,120,121,14,135,102,120,120,120,121,14,14,119,120,120,121,14,119,120,120,120,121,14,103,118,120,120,101,137,14,14,14,135,136,136,136,136,136,137,14,103,118,120,120,120,120,117,105,14,14,14,14,103,118,120,120,120,121,14,14,135,136,136,137,14,14,14,14,14,119,120,120,120,120,120,120,121,14,14,103,104,104,105,14,14,14,135,102,120,101,137,14,14,103,104,104,118,120,120,117,105,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,121,14,14,14,14,103,118,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,117,105,14,135,136,136,136,137,14,135,136,136,136,102,120,120,120,120,120,101,136,136,137,14,135,136,136,136,136,136,136,136,136,137,14,14,14,14,119,101,136,137,14,119,117,105,14,135,136,136,136,136,136,102,120,120,101,136,136,137,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,104,104,104,104,118,120,120,120,120,120,120,117,105,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,103,104,104,104,104,104,104,104,104,104,105,14,103,104,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,103,118,121,14,119,120,120,120,101,136,102,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,101,137,14,14,14,135,102,120,120,120,120,117,104,118,120,120,120,120,120,120,117,104,105,14,14,103,118,120,120,120,120,120,120,120,120,121,14,119,120,101,137,14,119,120,120,120,117,105,14,14,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,103,105,14,14,119,120,120,120,121,14,14,119,120,120,120,117,105,14,135,102,120,117,104,118,120,120,101,137,14,119,120,120,120,121,14,14,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,117,105,14,14,103,118,120,120,120,120,117,105,14,14,14,14,14,14,103,104,105,14,135,102,120,120,120,120,120,121,14,14,119,120,120,117,104,105,14,14,135,136,137,14,14,103,118,120,120,120,120,120,120,117,104,104,104,105,14,119,120,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,121,14,103,104,104,118,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,101,136,136,136,136,136,136,136,136,136,137,14,119,120,120,120,120,121,14,14,14,14,14,14,14,14,14,14,14,135,136,102,120,120,120,121,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,103,105,14,135,137,14,14,14,119,120,121,14,14,14,14,14,14,14,135,136,136,137,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,136,102,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
104,104,104,104,104,104,104,104,104,104,105,14,103,104,104,118,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,101,136,136,136,136,136,102,120,120,120,120,120,120,121,14,119,120,121,14,135,102,120,101,137,14,119,120,120,120,121,14,135,102,120,120,120,120,120,101,136,136,136,136,136,102,120,120,120,120,120,121,14,119,120,120,120,120,121,14,14,103,118,120,101,136,136,136,136,136,136,136,137,14,119,120,120,121,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,101,136,102,120,120,120,120,120,117,104,118,120,121,14,14,119,120,120,120,120,121,14,103,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,104,118,117,105,14,135,102,120,120,117,105,14,119,120,120,120,101,137,14,14,135,102,120,120,120,120,101,137,14,14,119,120,120,101,137,14,103,104,104,104,104,105,14,103,104,104,104,118,120,120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,117,104,104,104,104,105,14,119,120,121,14,14,119,120,120,120,120,120,121,14,14,119,120,120,120,120,117,105,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,14,119,120,120,120,101,137,14,103,104,104,104,104,104,104,104,105,14,14,14,135,136,102,120,121,14,103,104,104,104,104,104,104,104,104,104,104,104,104,104,118,121,14,14,14,14,103,104,118,120,117,105,14,14,14,103,105,14,14,14,14,14,14,103,104,104,118,120,120,120,120,120,101,136,136,136,136,136,136,136,136,136,136,137,14,14,14,103,118,120,120,120,120,120,120,120,120,101,136,136,136,102,120,120,120,120,120,120,120,121,14,14,14,135,102,120,120,117,105,14,135,102,120,120,101,136,136,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,101,137,14,14,14,14,14,119,120,120,120,120,120,120,121,14,119,120,121,14,14,135,136,137,14,14,119,120,120,120,121,14,14,135,102,120,120,120,101,137,14,14,14,14,14,135,102,120,120,120,101,137,14,119,120,120,120,120,121,14,103,118,120,120,121,14,14,14,14,14,14,14,14,14,119,120,120,121,14,103,104,105,14,14,135,102,120,120,120,120,120,120,101,136,102,120,120,120,101,136,137,14,135,136,137,14,135,136,136,102,120,120,120,120,120,120,121,14,103,118,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,121,14,14,119,120,120,120,121,14,135,102,120,101,137,14,14,14,14,135,136,102,120,101,137,14,14,14,119,120,120,121,14,14,119,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,119,120,121,14,14,119,120,120,120,120,120,121,14,14,119,120,120,120,120,120,117,104,104,104,104,104,118,120,120,120,120,120,101,136,102,101,136,102,101,137,14,119,120,120,120,120,101,136,136,136,102,120,120,120,121,14,14,119,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,121,14,119,120,120,120,101,136,136,137,14,14,103,104,104,104,105,14,14,103,104,104,118,120,120,120,121,14,14,119,120,120,120,120,120,120,120,117,104,105,14,14,14,135,136,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,104,118,120,120,120,120,121,14,103,104,118,117,104,104,105,14,14,14,135,136,136,136,136,136,102,120,120,121,14,14,14,14,14,14,14,14,14,14,14,14,103,104,118,120,120,120,120,101,136,136,136,136,137,14,14,14,119,120,120,120,120,120,120,120,117,104,105,14,14,135,102,120,120,121,14,14,135,136,136,137,14,14,14,14,14,135,136,136,136,102,120,120,120,120,120,101,136,136,136,
120,120,120,120,120,120,120,120,120,120,121,14,14,135,136,102,120,120,120,120,120,120,120,120,120,121,14,135,136,102,120,120,120,120,101,137,14,14,103,104,105,14,119,120,120,120,120,120,120,121,14,119,120,117,105,14,14,14,14,14,103,118,120,120,120,117,105,14,14,135,136,136,136,137,14,14,103,104,105,14,14,119,120,120,120,121,14,14,119,120,120,120,120,121,14,135,102,120,101,137,14,103,104,104,104,104,105,14,14,119,120,101,137,14,119,120,117,105,14,14,119,120,120,120,120,120,120,121,14,119,120,120,101,137,14,14,14,14,14,14,14,14,14,14,135,102,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,14,119,120,120,120,120,120,101,136,136,136,136,136,102,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,14,119,120,120,120,121,14,14,135,136,137,14,14,103,105,14,14,14,135,136,137,14,14,14,14,119,120,120,121,14,14,119,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,119,120,121,14,14,135,102,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,135,137,14,135,137,14,14,135,136,102,101,136,137,14,14,14,135,136,136,136,137,14,14,135,102,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,121,14,119,120,120,120,121,14,14,14,14,103,118,120,120,120,121,14,14,119,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,117,104,105,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,117,105,14,14,14,14,14,14,14,14,135,136,136,137,14,103,104,104,104,105,14,14,14,103,104,104,118,120,120,120,120,120,120,121,14,14,14,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,117,105,14,14,14,14,14,14,103,104,105,14,14,14,14,14,135,136,102,120,101,136,137,14,14,14,
136,136,136,136,136,136,136,102,120,120,117,105,14,14,14,135,136,136,136,102,120,120,120,120,120,121,14,14,14,135,136,102,120,120,121,14,14,103,118,120,121,14,135,136,102,120,120,120,101,137,14,119,120,120,121,14,14,14,103,104,118,120,120,120,120,120,117,105,14,14,14,14,14,14,14,103,118,101,137,14,14,135,136,136,136,137,14,14,135,102,120,120,120,121,14,14,119,101,137,14,14,119,120,120,120,120,121,14,14,135,102,121,14,14,119,120,120,117,105,14,135,136,136,102,120,120,101,137,14,119,120,120,121,14,14,103,105,14,103,104,104,104,105,14,14,119,120,120,120,120,120,121,14,135,102,120,120,120,120,121,14,14,135,136,136,102,120,120,121,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,117,105,14,119,120,120,120,117,105,14,14,14,14,14,103,118,117,104,105,14,14,14,14,14,103,105,14,135,136,136,137,14,103,118,120,120,120,120,121,14,119,120,120,120,101,136,136,102,120,120,120,101,136,137,14,14,119,120,120,101,136,136,102,120,120,120,120,121,14,119,120,117,105,14,14,119,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,120,120,101,136,102,120,121,14,14,14,14,14,14,14,14,14,14,14,135,137,14,14,14,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,121,14,14,119,120,120,120,120,101,136,136,137,14,119,120,120,120,117,105,14,14,14,119,120,120,120,120,121,14,103,118,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,121,14,103,104,104,104,104,105,14,14,14,14,14,14,119,120,120,120,117,105,14,103,118,120,120,120,120,120,120,120,120,101,137,14,103,104,104,104,104,118,120,120,120,120,120,120,101,136,136,136,102,120,117,105,14,119,120,120,120,117,104,105,14,14,103,104,118,120,117,104,104,105,14,14,14,14,135,136,137,14,14,14,103,104,
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104,104,104,104,104,105,14,14,14,119,120,120,120,117,104,104,104,105,14,14,119,120,120,120,120,120,120,117,104,105,14,14,135,137,14,14,119,120,120,120,117,104,105,14,14,14,135,137,14,14,103,118,120,120,120,120,120,120,120,101,136,136,137,14,135,136,136,136,136,137,14,119,120,120,120,120,120,121,14,103,104,104,104,104,104,104,104,105,14,14,135,102,120,120,121,14,14,14,14,103,118,120,120,120,120,120,120,117,105,14,14,14,14,119,120,120,120,120,117,104,104,105,14,135,136,102,117,105,14,14,119,120,117,104,118,101,137,14,119,120,120,120,120,121,14,14,135,136,136,136,136,137,14,14,135,136,136,136,137,14,14,103,104,105,14,14,135,137,14,14,119,120,117,105,14,14,135,136,136,136,102,120,120,120,121,14,119,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,117,104,104,104,104,104,104,118,120,120,120,101,137,14,14,119,120,121,14,14,14,14,14,14,135,136,137,14,103,104,118,120,120,120,117,105,14,135,102,120,120,120,120,120,120,120,120,120,121,14,14,135,102,120,120,120,121,14,14,135,102,120,120,120,120,121,14,14,119,120,120,121,14,14,119,120,120,120,120,121,14,14,135,136,136,137,14,14,103,104,118,120,121,14,14,119,120,120,120,120,121,14,14,14,135,102,120,120,120,121,14,14,14,14,14,14,14,14,103,105,14,135,102,120,120,120,120,120,121,14,135,102,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,119,120,120,120,120,101,137,14,119,120,120,120,120,120,101,136,136,136,136,136,136,136,136,137,14,14,135,102,120,120,120,120,120,120,120,120,117,104,118,120,120,120,120,101,137,14,119,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,121,14,119,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,135,102,120,120,120,101,136,137,14,14,103,104,118,120,120,121,14,119,120,120,120,120,120,120,121,14,119,120,120,101,136,136,102,120,120,120,121,14,14,14,14,103,118,120,120,120,
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120,120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,101,137,14,103,118,120,120,101,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,121,14,14,14,103,104,104,118,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,117,105,14,135,102,120,120,120,117,104,104,104,105,14,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,135,102,117,105,14,14,119,120,120,121,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,14,119,120,120,120,121,14,119,120,120,101,137,14,14,103,104,118,120,120,117,105,14,135,102,120,121,14,14,135,102,120,120,120,120,121,14,14,119,120,120,120,120,120,101,137,14,14,14,14,14,103,104,104,118,120,120,120,120,120,120,120,120,120,101,137,14,103,104,104,104,118,120,120,120,121,14,119,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,117,105,14,14,14,135,137,14,14,14,14,135,136,137,14,14,119,120,120,120,120,117,105,14,14,14,119,120,120,120,121,14,119,120,120,121,14,14,135,102,120,120,120,121,14,103,118,117,104,104,118,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,101,136,137,14,103,118,120,120,120,120,121,14,14,135,102,120,120,121,14,14,119,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,135,137,14,119,120,120,120,120,120,120,120,120,117,105,14,14,135,102,120,120,101,137,14,119,120,120,101,137,14,14,103,118,120,120,120,120,120,120,120,121,14,14,135,102,120,121,14,135,136,102,120,120,120,120,120,121,14,103,118,120,120,120,120,121,14,14,103,104,104,104,104,118,120,120,120,121,14,14,103,118,120,120,120,120,120,120,
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101,136,136,136,136,136,136,137,14,14,14,14,135,136,136,136,137,14,14,103,118,120,120,120,121,14,103,118,120,120,120,120,120,120,101,137,14,14,14,14,135,102,120,121,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,120,117,105,14,14,14,14,135,136,136,136,136,137,14,14,119,120,120,120,120,101,137,14,14,14,14,119,120,120,120,120,120,120,120,120,117,105,14,14,119,120,121,14,119,101,137,14,14,119,120,120,120,120,120,101,136,136,136,137,14,119,120,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,135,102,120,117,105,14,103,118,120,120,120,120,120,117,105,14,119,120,120,117,105,14,135,102,120,120,120,120,117,104,118,120,120,120,101,137,14,14,103,105,14,119,120,120,120,120,120,120,120,120,120,120,120,101,136,102,121,14,14,14,14,14,119,120,120,120,120,120,120,120,120,101,137,14,14,135,136,102,120,120,120,120,120,101,136,136,102,120,120,117,104,104,104,104,118,121,14,14,103,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,121,14,14,119,120,120,120,121,14,135,102,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,135,102,120,120,120,120,120,101,136,137,14,14,103,104,118,120,120,120,120,120,120,117,105,14,135,136,136,137,14,135,102,120,120,120,120,120,120,101,137,14,135,136,136,102,120,120,120,120,117,105,14,135,136,102,120,120,120,121,14,14,14,14,14,135,137,14,14,14,14,14,14,103,118,117,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,14,103,118,120,120,121,14,103,118,120,120,121,14,14,14,14,135,102,120,117,105,14,14,119,117,104,105,14,14,14,14,14,14,14,14,14,14,135,102,120,120,121,14,14,119,120,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,
137,14,14,14,14,14,14,14,14,103,105,14,14,14,14,14,14,14,103,118,120,120,120,120,121,14,119,120,120,120,120,120,120,101,137,14,14,103,105,14,14,119,120,117,104,105,14,119,120,120,120,120,120,120,120,101,136,136,102,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,136,136,136,136,136,102,120,120,117,104,104,105,14,14,14,14,14,14,14,14,103,118,120,120,120,101,137,14,14,103,104,104,118,120,120,120,120,120,101,136,136,136,117,105,14,135,102,121,14,135,137,14,14,103,118,120,120,120,120,101,137,14,14,14,14,14,119,120,120,120,120,120,101,136,137,14,119,120,120,120,120,121,14,14,119,120,101,137,14,119,120,120,120,120,120,120,120,121,14,119,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,101,137,14,14,103,118,121,14,135,102,120,120,120,120,120,120,120,120,120,120,121,14,119,121,14,14,103,105,14,119,120,120,120,120,120,120,120,101,137,14,14,14,14,14,135,136,102,120,101,136,137,14,14,119,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,101,136,136,136,136,136,136,136,102,120,120,121,14,14,135,136,102,121,14,14,135,136,102,120,121,14,14,135,102,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,101,136,102,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,121,14,14,14,103,118,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,119,120,120,120,120,101,136,137,14,14,14,14,14,119,120,120,120,120,120,121,14,14,14,135,102,120,101,137,14,103,104,105,14,14,14,14,103,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,104,104,104,118,120,120,120,117,104,118,120,120,120,117,104,104,105,14,14,135,102,120,117,105,14,119,120,120,117,104,104,104,104,104,104,104,104,105,14,14,135,102,120,121,14,103,118,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,
14,14,103,104,104,104,104,105,14,119,117,104,104,105,14,103,104,104,118,120,120,120,120,120,121,14,119,120,101,136,102,120,101,137,14,14,103,118,117,105,14,119,120,120,101,137,14,119,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,14,14,135,102,120,120,120,120,117,105,14,14,14,14,103,104,104,118,120,120,101,136,137,14,14,103,118,120,120,120,120,120,120,101,136,137,14,14,14,135,137,14,14,135,137,14,14,14,14,103,118,120,120,120,101,136,137,14,14,14,103,104,104,118,120,120,120,120,101,137,14,14,14,119,120,120,120,120,121,14,14,119,120,121,14,14,119,120,120,120,120,120,120,120,121,14,119,120,120,120,117,105,14,135,136,102,120,120,120,120,120,120,101,137,14,14,103,118,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,119,121,14,14,119,121,14,135,136,136,102,120,120,120,120,121,14,14,103,104,105,14,14,14,135,136,137,14,14,14,103,118,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,101,137,14,14,14,14,14,14,14,135,136,136,137,14,14,14,14,135,137,14,14,14,14,119,120,117,105,14,14,119,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,121,14,135,102,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,136,136,136,136,137,14,103,104,118,120,120,120,120,120,120,120,120,120,121,14,14,103,104,104,105,14,14,135,102,120,120,101,137,14,14,14,14,103,105,14,135,102,120,120,120,120,121,14,14,14,14,135,136,137,14,14,119,120,117,105,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,136,137,14,119,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,
14,103,118,120,120,120,120,121,14,119,120,120,120,121,14,119,120,120,120,120,120,120,120,120,121,14,135,102,121,14,119,101,137,14,14,103,118,120,120,121,14,135,136,136,137,14,14,119,120,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,117,105,14,14,135,136,102,120,120,120,120,120,120,120,120,120,117,104,104,104,104,104,105,14,14,135,102,120,120,120,120,117,104,105,14,14,135,136,136,136,136,136,137,14,14,14,103,118,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,14,14,103,104,104,118,120,120,120,120,121,14,14,14,103,104,118,120,120,120,120,120,120,101,137,14,14,14,103,118,120,120,120,120,117,105,14,119,120,117,105,14,119,120,120,120,120,120,120,120,121,14,135,102,120,120,120,121,14,14,14,119,120,120,120,120,120,120,121,14,14,103,118,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,121,14,135,137,14,14,119,121,14,14,14,14,135,136,136,102,101,137,14,103,118,120,117,105,14,14,14,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,14,103,104,104,104,105,14,14,14,14,14,14,103,105,14,14,14,14,103,105,14,135,102,120,117,105,14,119,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,121,14,14,119,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,121,14,14,14,135,136,136,137,14,14,103,104,104,118,121,14,14,119,120,120,120,120,117,104,104,105,14,14,14,14,14,103,118,120,120,117,105,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,135,136,136,137,14,135,136,136,136,136,136,136,136,136,102,120,120,120,117,105,14,14,14,14,14,119,120,120,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,120,
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104,105,14,119,101,137,14,14,103,118,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,101,137,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,120,117,104,104,105,14,103,104,104,118,120,120,120,121,14,14,14,14,135,137,14,14,14,14,103,118,120,120,120,120,120,120,121,14,14,103,104,118,120,120,120,101,137,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,120,117,104,104,105,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,103,104,118,120,120,120,120,121,14,119,120,120,120,120,120,120,101,137,14,14,103,104,118,120,120,120,121,14,119,120,120,120,117,105,14,14,14,14,135,136,137,14,135,136,137,14,14,14,14,14,135,137,14,14,103,118,120,120,121,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,103,105,14,14,135,117,104,105,14,14,14,103,118,120,120,101,137,14,14,103,104,105,14,14,135,136,136,137,14,14,103,118,120,120,121,14,14,103,104,118,120,120,120,120,120,120,120,121,14,103,104,118,120,120,120,120,120,120,117,105,14,135,102,120,120,120,120,101,137,14,14,135,136,136,136,102,120,120,120,120,120,120,120,120,101,137,14,119,120,120,101,137,14,14,14,14,135,136,136,136,137,14,14,103,104,104,104,104,104,105,14,103,118,120,120,120,120,120,120,120,120,117,104,118,120,120,120,101,136,137,14,103,104,118,120,120,120,120,121,14,119,120,120,121,14,135,136,102,120,120,101,137,14,135,137,14,103,118,120,121,14,135,102,121,14,103,118,120,120,120,120,120,101,137,14,135,136,136,102,120,120,120,120,120,120,121,14,14,103,104,104,104,105,14,14,103,118,120,120,101,136,137,14,119,120,120,120,120,120,120,121,14,14,14,14,14,14,14,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,136,137,14,103,118,120,120,117,104,104,104,104,104,118,120,120,120,120,121,14,14,14,135,136,102,120,120,120,121,14,103,118,120,120,
136,137,14,135,137,14,14,103,118,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,101,136,137,14,14,14,14,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,117,104,104,105,14,14,14,14,14,103,104,118,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,121,14,14,103,104,104,105,14,135,102,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,101,136,136,136,136,136,136,136,136,102,117,104,104,104,105,14,14,135,102,120,120,120,120,120,120,101,136,102,120,120,117,105,14,103,118,120,120,120,120,120,120,121,14,119,120,120,120,120,101,136,137,14,14,103,118,120,120,120,120,120,121,14,119,120,120,120,120,117,104,104,105,14,14,14,14,14,14,14,14,14,103,104,105,14,14,14,14,103,118,120,120,120,117,105,14,119,120,120,120,120,120,120,101,136,136,136,136,136,102,101,136,137,14,14,14,103,118,117,105,14,14,119,120,117,105,14,14,135,136,102,120,121,14,14,103,118,120,117,105,14,14,14,14,14,14,103,118,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,121,14,14,135,136,136,136,136,137,14,14,14,14,14,14,14,135,136,136,102,120,120,120,120,120,121,14,14,119,120,120,121,14,14,103,105,14,14,14,14,14,14,14,103,118,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,119,120,120,120,120,120,120,121,14,119,120,120,121,14,14,14,135,102,120,121,14,14,14,14,14,119,120,120,121,14,14,119,121,14,119,120,120,120,101,136,136,137,14,14,14,14,14,119,120,120,120,120,120,101,137,14,103,118,120,120,120,117,105,14,135,136,136,136,137,14,14,14,119,120,120,120,120,120,120,117,104,104,104,104,105,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,105,14,14,14,119,120,120,120,121,14,119,120,120,120,
14,14,14,14,14,14,103,118,120,120,120,101,137,14,14,135,102,120,120,120,120,120,120,101,137,14,14,14,103,104,105,14,14,14,135,136,102,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,117,104,104,105,14,14,135,102,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,101,137,14,103,118,120,120,121,14,14,119,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,101,137,14,14,14,14,14,14,14,14,135,102,120,120,120,117,105,14,14,119,120,120,120,120,120,120,121,14,119,120,120,120,121,14,135,102,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,14,14,14,119,120,120,120,120,120,120,121,14,135,136,136,136,102,120,120,120,117,104,105,14,14,14,103,104,104,104,118,120,117,104,104,104,104,118,120,120,120,120,101,137,14,119,120,120,120,120,120,120,121,14,14,14,14,14,135,137,14,14,14,103,104,118,120,120,117,105,14,135,102,120,117,105,14,14,14,119,120,121,14,14,119,120,120,120,117,104,104,104,104,104,104,118,120,120,120,120,121,14,14,119,120,120,120,101,136,136,136,136,136,137,14,14,135,102,120,120,120,120,120,120,120,117,105,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,135,102,120,120,120,120,117,105,14,119,120,120,121,14,103,118,117,104,104,105,14,14,14,103,118,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,118,120,120,120,101,136,136,137,14,135,136,102,117,104,105,14,14,119,120,121,14,103,104,104,104,118,120,120,117,105,14,135,137,14,135,102,120,120,121,14,14,14,14,103,104,105,14,135,102,120,120,120,101,137,14,14,119,120,120,120,120,120,121,14,14,14,14,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,104,105,14,14,119,120,120,120,101,136,136,102,120,120,120,120,120,101,137,14,103,104,105,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,118,120,120,120,121,14,119,120,120,120,
104,104,105,14,103,104,118,120,120,120,101,137,14,14,14,14,135,102,120,120,120,120,120,121,14,14,103,104,118,120,117,104,105,14,14,14,135,102,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,101,137,14,14,119,120,120,120,117,105,14,135,102,120,120,120,120,101,136,136,136,137,14,119,120,101,136,137,14,14,103,104,104,104,104,105,14,14,119,120,120,120,120,117,105,14,119,120,120,120,120,120,120,121,14,135,136,136,136,137,14,14,119,120,120,120,120,120,120,117,104,118,120,120,120,120,117,104,104,105,14,135,102,120,120,120,120,120,121,14,14,14,14,14,135,136,102,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,101,137,14,103,105,14,14,14,14,14,14,103,118,120,120,120,120,120,121,14,14,119,120,120,117,105,14,14,119,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,101,137,14,14,14,14,14,14,14,14,14,135,136,136,136,102,120,120,120,120,117,104,105,14,103,104,104,104,104,104,105,14,14,103,104,104,105,14,14,119,120,120,120,120,120,121,14,119,120,120,121,14,119,120,120,120,101,137,14,103,104,118,120,120,120,120,120,120,121,14,103,118,120,120,101,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,14,14,14,14,135,102,120,117,105,14,119,120,121,14,119,120,120,120,120,120,120,120,121,14,14,14,14,14,135,136,136,137,14,103,104,104,118,120,121,14,14,135,102,120,120,121,14,14,103,118,120,120,120,120,120,117,104,105,14,103,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,121,14,14,119,120,120,120,120,120,121,14,14,119,120,117,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,135,136,136,102,
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120,120,121,14,119,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,119,120,120,121,14,14,119,120,120,120,120,101,136,137,14,14,103,104,118,120,120,120,120,120,120,120,121,14,14,14,14,119,120,120,120,121,14,14,135,102,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,118,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,121,14,14,135,137,14,14,135,102,120,120,120,101,136,136,102,120,120,120,120,120,121,14,119,120,120,120,121,14,14,14,103,118,120,120,120,120,101,136,137,14,103,118,120,120,120,120,120,117,104,105,14,103,118,120,120,120,120,120,101,137,14,14,14,103,104,104,105,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,135,102,120,120,120,120,121,14,14,135,136,136,136,136,136,136,136,102,101,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,117,105,14,14,135,136,137,14,135,102,120,120,120,117,104,105,14,14,135,102,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,117,104,105,14,14,119,120,121,14,135,102,120,120,120,120,120,120,120,101,137,14,14,14,103,104,104,104,105,14,14,14,135,102,120,120,101,136,136,137,14,103,118,120,120,120,120,120,117,105,14,14,119,120,120,121,14,103,104,104,118,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,119,120,120,120,120,120,117,105,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,101,136,136,137,14,14,119,120,120,120,120,117,105,14,14,135,136,136,136,102,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,101,137,14,14,119,120,120,117,105,14,14,14,135,102,120,120,120,120,120,
136,136,137,14,135,102,120,120,120,120,120,120,121,14,14,14,103,104,104,104,104,104,104,118,120,120,121,14,103,118,120,120,101,136,137,14,14,14,103,118,120,120,120,120,120,120,120,120,101,137,14,103,105,14,119,120,120,120,121,14,14,14,135,102,120,120,120,101,137,14,135,136,136,136,136,136,102,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,101,136,136,136,136,102,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,118,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,121,14,14,14,135,102,120,120,120,120,117,105,14,14,14,14,14,14,119,120,120,101,137,14,14,135,102,120,120,120,120,121,14,119,120,120,101,137,14,103,104,118,120,120,120,120,120,121,14,14,14,119,120,120,120,120,120,120,120,120,121,14,135,136,102,120,120,120,101,137,14,14,103,104,118,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,102,120,101,136,102,120,120,121,14,14,103,104,104,105,14,14,135,102,120,120,120,121,14,14,14,14,14,14,14,14,14,14,135,137,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,117,105,14,14,14,14,14,14,119,120,120,120,120,120,117,105,14,14,135,102,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,120,117,105,14,119,101,137,14,14,119,120,120,120,120,120,120,120,121,14,14,103,104,118,120,120,120,117,105,14,14,14,135,136,136,137,14,14,14,14,119,120,120,120,120,120,120,120,117,105,14,135,136,102,117,104,118,120,120,120,120,101,136,102,121,14,119,120,120,120,120,120,120,120,101,137,14,14,103,104,105,14,14,119,120,120,120,120,120,120,117,104,105,14,14,14,119,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,119,120,120,120,120,120,117,105,14,14,14,14,14,119,120,120,120,120,120,120,101,136,136,137,14,14,119,120,120,120,120,120,120,120,120,120,101,136,137,14,14,103,118,120,120,120,117,104,105,14,14,135,136,102,120,120,120,
14,14,14,14,14,135,102,120,120,120,120,120,117,105,14,103,118,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,121,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,121,14,14,119,121,14,119,120,120,120,117,104,105,14,14,135,102,120,101,137,14,14,14,14,14,14,14,14,135,102,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,101,137,14,14,14,14,135,102,120,121,14,135,102,120,120,120,120,120,120,120,120,120,101,136,137,14,14,103,118,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,117,105,14,14,14,119,120,120,120,120,120,117,104,104,104,104,105,14,119,120,120,121,14,14,14,14,119,120,120,120,120,121,14,119,120,120,121,14,14,119,120,120,120,120,120,120,120,121,14,103,104,118,120,120,120,120,120,120,120,120,121,14,14,14,119,120,101,136,137,14,14,103,118,120,101,136,136,137,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,121,14,119,120,120,121,14,103,118,120,120,121,14,14,14,119,120,120,101,137,14,14,14,103,104,104,104,104,105,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,135,102,120,117,104,105,14,14,14,14,119,120,120,120,120,120,120,117,105,14,14,135,102,120,120,120,120,120,101,137,14,14,14,14,119,120,120,120,120,120,120,120,120,121,14,135,137,14,14,103,118,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,121,14,14,14,14,14,14,14,14,103,105,14,135,102,120,120,120,120,120,120,120,121,14,14,14,135,136,102,120,120,120,120,120,121,14,119,121,14,119,120,120,120,120,120,120,120,121,14,14,103,118,120,121,14,14,119,120,120,120,120,120,120,120,120,117,104,105,14,119,120,120,120,120,120,101,136,136,136,137,14,14,103,104,105,14,135,102,120,120,120,101,136,137,14,14,14,14,103,118,120,120,120,120,101,136,137,14,14,14,14,14,119,120,120,120,120,120,120,120,120,101,137,14,14,14,103,118,120,120,120,120,120,120,117,105,14,14,14,135,136,102,120,
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120,120,120,120,101,137,14,119,121,14,14,135,102,120,121,14,14,119,120,120,120,120,117,104,105,14,14,14,14,14,103,118,117,105,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,103,118,121,14,14,14,135,136,102,120,120,120,117,104,104,105,14,14,135,136,136,136,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,105,14,14,14,119,120,120,120,120,120,120,120,117,105,14,14,14,14,135,136,136,136,136,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,117,104,118,120,120,101,137,14,14,103,105,14,14,14,14,14,135,137,14,14,103,118,120,120,121,14,14,103,118,120,120,120,120,120,117,104,105,14,14,119,120,120,117,105,14,119,120,120,120,101,137,14,14,103,118,117,105,14,14,14,14,14,103,118,120,120,120,120,120,101,137,14,103,104,105,14,14,135,137,14,14,103,118,120,120,121,14,14,14,14,14,103,104,118,120,101,136,137,14,14,103,118,121,14,14,135,136,136,102,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,121,14,119,121,14,14,119,120,121,14,119,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,135,136,136,136,136,102,120,120,120,120,120,120,101,137,14,14,103,118,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,121,14,119,120,121,14,119,120,121,14,119,120,120,121,14,119,120,120,120,121,14,103,118,120,121,14,14,14,14,14,119,120,120,117,104,104,104,104,104,104,105,14,14,119,120,120,120,120,120,121,14,14,119,120,120,120,120,120,121,14,14,14,14,14,14,135,102,120,120,120,117,105,14,14,14,14,135,136,136,136,136,136,102,120,120,120,120,117,104,105,14,119,117,104,104,104,104,104,104,105,14,103,104,105,14,103,118,120,120,121,14,103,118,120,117,105,14,119,120,120,120,120,120,120,
136,136,136,136,137,14,14,119,117,105,14,14,135,136,137,14,103,118,120,120,120,120,120,120,117,105,14,14,14,103,118,120,120,121,14,14,103,105,14,14,119,120,120,101,136,136,136,102,120,120,120,120,121,14,14,135,136,102,120,120,101,136,102,120,120,120,120,117,105,14,119,101,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,103,104,118,120,117,104,105,14,14,14,135,102,120,120,120,120,120,121,14,14,14,14,14,14,14,14,135,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,105,14,119,120,120,120,120,120,120,120,120,117,104,104,105,14,14,14,14,14,14,14,14,14,135,136,136,136,136,102,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,121,14,14,103,118,117,104,104,104,105,14,14,14,14,103,118,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,121,14,119,120,120,120,121,14,14,103,118,120,120,117,104,105,14,14,14,119,120,120,120,120,120,101,137,14,14,119,120,117,105,14,14,14,14,14,119,120,120,120,117,104,104,104,104,104,118,120,120,101,137,14,14,14,103,118,120,117,105,14,14,14,14,119,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,121,14,135,137,14,103,118,120,121,14,119,120,120,120,120,120,120,120,120,121,14,14,103,104,104,105,14,14,14,14,14,14,119,120,120,120,120,120,120,121,14,14,103,118,120,120,121,14,14,135,136,136,136,136,136,136,136,136,136,136,102,120,120,101,137,14,135,136,102,120,121,14,119,120,121,14,119,120,121,14,135,136,136,137,14,119,120,120,120,121,14,119,120,120,121,14,103,104,105,14,135,102,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,121,14,103,118,120,120,120,120,120,117,104,104,104,104,105,14,14,119,120,120,120,120,117,104,104,105,14,14,14,14,14,14,14,135,136,136,102,120,120,120,117,104,118,120,120,120,120,120,120,120,121,14,119,120,121,14,119,120,120,120,121,14,119,120,120,120,121,14,135,136,136,102,120,120,120,
14,14,14,14,14,14,103,118,120,117,105,14,14,14,14,14,119,120,120,120,120,120,120,120,120,117,104,104,104,118,120,120,120,121,14,103,118,117,105,14,135,136,102,121,14,14,14,135,102,120,120,120,121,14,14,14,14,135,136,136,137,14,135,136,136,136,102,120,121,14,135,137,14,14,14,135,136,136,136,136,102,120,120,120,120,120,120,120,120,120,117,104,104,118,120,120,120,120,120,117,104,105,14,14,135,136,136,136,136,136,137,14,14,103,104,104,104,105,14,14,14,14,14,135,102,120,120,101,136,136,136,136,136,136,102,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,117,104,104,104,104,104,104,104,105,14,14,14,14,14,14,135,136,136,136,136,136,137,14,14,135,136,136,102,120,120,120,120,120,121,14,14,119,120,120,120,120,120,117,104,105,14,14,119,120,120,120,120,121,14,119,120,120,101,136,136,136,102,120,120,120,121,14,119,120,120,120,121,14,135,102,120,120,121,14,103,118,120,120,120,120,120,117,104,104,104,118,120,120,120,120,101,137,14,14,103,118,120,120,121,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,103,118,120,120,120,117,104,104,104,104,118,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,121,14,14,14,14,119,120,120,121,14,135,136,136,136,136,102,120,120,120,121,14,103,118,120,120,117,104,105,14,14,103,104,118,120,120,120,120,120,101,137,14,103,118,120,120,120,117,105,14,14,14,14,14,14,14,14,14,14,14,14,135,136,136,137,14,14,14,14,119,120,121,14,119,120,117,104,118,120,121,14,14,14,14,14,14,119,120,120,120,121,14,119,120,120,121,14,119,120,121,14,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,117,104,104,105,14,14,14,14,14,14,14,135,136,136,136,136,136,136,136,102,120,120,120,120,120,121,14,119,120,121,14,119,120,120,120,121,14,119,120,120,120,121,14,14,14,14,119,120,120,120,
104,104,104,105,14,103,118,120,120,120,117,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,121,14,14,14,135,137,14,14,14,14,135,102,120,120,117,104,104,105,14,14,14,14,14,14,14,14,14,14,135,136,137,14,14,14,14,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,14,14,14,103,118,120,120,120,117,104,104,104,105,14,14,135,136,136,137,14,14,14,14,14,14,119,120,120,120,120,121,14,14,135,136,102,120,120,120,101,136,136,102,120,120,120,120,120,120,120,120,120,117,104,104,104,104,105,14,14,14,14,14,14,14,14,14,14,14,14,14,135,102,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,117,105,14,135,102,120,120,120,121,14,119,120,120,121,14,14,14,135,136,102,101,137,14,119,120,120,120,121,14,14,119,120,101,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,118,120,120,120,121,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,101,136,136,102,120,120,120,120,121,14,14,103,104,118,120,120,121,14,14,14,14,14,14,119,120,120,120,121,14,119,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,117,104,104,104,105,14,103,104,104,104,104,105,14,14,14,14,14,14,103,104,104,118,120,121,14,119,120,120,120,120,120,117,104,104,104,104,105,14,119,120,120,120,117,104,118,120,120,121,14,119,120,117,105,14,119,101,136,102,120,120,120,120,120,120,121,14,119,120,120,120,120,101,137,14,119,120,120,101,136,136,136,136,102,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,117,104,104,104,104,104,105,14,14,14,14,14,14,14,14,14,135,136,136,102,120,120,121,14,119,120,121,14,119,120,120,120,121,14,135,102,120,120,121,14,103,104,104,118,120,120,120,
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137,14,14,103,118,120,120,120,120,101,136,137,14,119,120,120,120,121,14,14,14,14,103,104,104,105,14,14,14,135,137,14,135,137,14,14,14,14,119,120,120,120,121,14,14,135,136,136,137,14,14,103,104,104,105,14,14,135,102,101,136,137,14,135,102,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,101,136,102,120,117,105,14,14,14,119,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,101,137,14,14,14,103,118,120,120,117,104,118,120,117,104,104,104,105,14,14,135,136,136,136,136,136,137,14,103,118,120,120,120,120,120,120,120,117,105,14,14,103,118,120,120,120,120,120,120,120,117,104,105,14,103,118,120,120,120,101,136,136,137,14,14,103,104,104,104,104,105,14,119,120,120,120,120,120,120,117,104,118,120,120,117,104,104,104,104,105,14,14,119,120,120,121,14,14,119,120,120,120,121,14,14,135,136,102,120,120,120,121,14,103,104,104,104,118,120,101,136,136,136,137,14,14,119,120,120,120,120,101,137,14,14,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,121,14,14,103,118,120,120,120,117,104,105,14,14,14,14,119,120,120,121,14,135,102,120,120,120,117,104,118,120,120,120,120,101,136,137,14,14,103,104,105,14,14,119,120,120,120,120,120,121,14,103,104,104,118,120,120,120,121,14,119,120,120,120,120,121,14,14,14,14,135,136,102,120,120,120,120,101,137,14,119,120,120,120,120,120,120,121,14,14,14,14,135,136,137,14,135,136,102,120,120,120,101,137,14,14,14,14,135,102,120,120,120,120,120,120,121,14,14,103,118,121,14,14,135,136,137,14,14,14,14,103,118,120,120,101,137,14,14,14,14,14,14,14,119,120,120,120,120,101,136,137,14,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,135,102,101,137,14,14,103,118,120,120,101,137,14,14,135,136,137,14,103,118,120,117,105,14,119,120,120,120,120,120,120,
14,14,103,118,120,120,120,120,101,137,14,14,14,119,120,120,120,121,14,103,104,104,118,120,120,117,104,105,14,14,14,14,14,14,14,103,105,14,135,102,101,136,137,14,14,14,14,14,14,14,103,118,120,120,117,105,14,14,135,137,14,14,14,14,135,136,136,136,136,102,120,120,120,120,120,121,14,14,119,120,120,120,120,120,101,136,137,14,14,14,14,135,102,120,120,120,121,14,119,120,120,117,104,105,14,119,120,120,120,121,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,121,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,135,136,136,136,136,137,14,14,14,14,103,118,120,120,101,136,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,121,14,103,118,120,120,120,117,105,14,14,14,119,120,120,120,121,14,119,120,120,120,120,120,121,14,14,14,14,14,103,118,120,120,120,120,121,14,14,103,104,104,104,118,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,101,137,14,103,118,120,120,120,120,120,120,117,104,104,104,104,118,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,14,103,118,120,117,105,14,119,120,120,120,101,136,137,14,135,102,120,120,120,120,120,121,14,119,120,120,120,120,121,14,103,105,14,14,14,135,136,136,136,136,137,14,14,119,120,120,120,120,120,120,121,14,103,105,14,14,14,14,14,14,14,119,120,120,120,121,14,14,103,105,14,14,135,102,120,120,120,120,120,121,14,14,119,120,117,105,14,14,14,14,14,103,104,104,118,120,120,101,137,14,14,14,103,104,104,105,14,119,120,120,120,120,121,14,14,14,103,104,104,118,120,120,120,120,120,120,120,101,136,136,136,136,136,102,120,120,120,120,121,14,14,119,121,14,14,103,118,120,120,120,121,14,14,14,14,14,14,14,119,120,120,120,121,14,119,120,120,120,120,120,120,
104,104,118,120,120,120,120,101,137,14,14,14,103,118,120,120,120,121,14,119,120,120,120,120,120,120,120,117,104,104,105,14,14,14,103,118,121,14,14,119,121,14,14,14,14,14,103,104,104,104,118,120,120,120,120,117,105,14,14,14,14,103,105,14,14,14,14,14,14,135,136,136,136,136,136,137,14,103,118,120,120,120,120,101,137,14,14,14,103,105,14,14,119,120,120,101,137,14,119,120,120,120,120,121,14,135,102,120,120,117,105,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,104,104,104,104,105,14,103,118,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,101,136,136,136,137,14,14,14,14,14,14,14,14,103,104,104,118,120,120,101,137,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,136,137,14,103,118,120,120,121,14,119,120,120,120,120,120,117,104,105,14,119,120,120,120,121,14,119,120,120,120,120,120,121,14,103,104,104,104,118,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,103,118,120,120,120,121,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,101,137,14,103,104,118,120,120,120,117,104,118,120,120,101,137,14,14,14,14,135,102,120,120,120,120,121,14,135,102,120,120,101,137,14,119,117,105,14,14,14,14,14,14,14,14,14,103,118,120,120,120,120,120,120,121,14,119,117,104,104,104,104,104,104,104,118,120,120,101,137,14,103,118,117,105,14,14,119,120,120,120,120,120,121,14,103,118,120,120,117,104,104,105,14,14,135,136,136,136,102,101,137,14,14,103,104,118,120,120,117,104,118,120,120,120,101,137,14,103,104,118,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,135,102,120,120,120,117,104,104,118,117,104,104,118,120,120,120,120,121,14,103,104,104,104,104,104,118,120,120,120,121,14,119,120,120,120,120,120,120,
120,120,120,120,120,120,120,121,14,14,14,103,118,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,117,104,104,118,117,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,121,14,103,104,104,118,117,104,104,104,105,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,101,137,14,14,103,104,118,117,105,14,135,136,102,121,14,14,119,120,120,120,120,121,14,14,119,120,120,120,121,14,14,14,135,136,136,136,136,102,120,120,120,120,120,120,120,121,14,119,120,120,101,137,14,14,103,118,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,103,118,120,120,120,120,121,14,119,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,101,137,14,14,14,14,14,103,104,104,104,104,104,104,118,120,120,120,120,120,121,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,119,120,120,120,121,14,119,120,120,120,120,120,101,136,137,14,119,120,120,120,121,14,119,120,120,120,101,136,137,14,135,102,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,101,137,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,103,105,14,14,119,120,120,120,120,121,14,14,119,120,120,121,14,14,119,120,117,104,104,104,104,104,104,104,104,104,118,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,101,137,14,14,119,120,120,117,105,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,117,105,14,14,14,14,14,135,137,14,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,104,105,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,
120,120,120,120,120,120,101,137,14,14,14,135,102,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,102,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,117,104,105,14,14,14,103,104,104,104,104,118,120,120,101,136,137,14,14,103,118,120,120,120,121,14,14,14,135,137,14,14,135,136,136,136,136,137,14,14,119,120,120,120,117,104,105,14,14,14,14,14,14,119,120,120,120,120,120,120,120,117,104,118,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,103,118,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,121,14,14,14,103,118,120,120,120,120,120,120,121,14,14,103,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,104,104,104,118,120,120,120,117,104,118,120,120,120,101,136,137,14,14,14,119,120,120,120,117,104,118,120,120,101,137,14,14,14,14,135,136,102,120,120,120,120,101,136,137,14,135,136,136,136,136,102,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,101,137,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,101,136,102,120,120,121,14,103,118,120,120,120,120,120,120,101,136,102,101,137,14,103,118,117,105,14,119,120,120,120,120,117,105,14,119,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,121,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,117,104,104,104,105,14,14,14,14,103,118,120,120,120,120,101,136,102,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,120,117,104,104,118,120,117,105,14,14,135,102,120,120,120,101,136,102,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,
136,136,136,136,136,136,137,14,14,14,14,14,135,136,102,120,120,117,105,14,14,135,136,136,136,136,136,136,136,136,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,117,105,14,103,118,120,120,120,120,120,120,120,121,14,14,14,103,118,120,120,120,120,117,104,105,14,14,14,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,117,104,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,101,136,136,136,136,102,120,120,120,101,137,14,14,103,104,118,120,120,120,120,120,120,121,14,14,135,102,101,136,136,136,136,137,14,103,104,118,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,103,104,118,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,135,102,120,120,120,121,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,101,137,14,14,103,105,14,14,135,102,120,120,120,101,136,136,102,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,119,120,120,121,14,119,120,120,120,120,120,101,136,137,14,135,137,14,14,119,120,120,121,14,135,102,120,120,120,120,117,104,118,120,120,120,121,14,135,136,136,136,136,136,136,136,136,136,136,102,120,101,136,136,136,136,136,137,14,14,135,102,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,120,120,121,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,104,118,120,120,120,101,136,137,14,135,136,136,136,136,137,14,119,120,120,120,120,101,136,136,136,102,120,120,120,120,120,120,120,120,101,137,14,14,14,135,136,136,136,137,14,135,136,136,102,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,121,14,14,135,102,120,101,136,136,136,
14,14,14,14,14,14,14,14,103,104,105,14,14,14,119,120,120,120,117,105,14,14,14,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,121,14,103,104,118,120,120,120,120,120,120,120,117,105,14,14,14,103,104,105,14,103,104,104,105,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,136,136,136,136,136,136,137,14,119,120,120,121,14,14,14,14,135,136,102,120,121,14,14,103,118,120,120,120,120,120,120,120,120,117,105,14,14,135,137,14,14,14,14,14,14,135,136,136,102,120,120,120,120,120,120,117,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,103,104,104,104,105,14,14,119,120,120,120,121,14,103,104,104,104,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,135,136,136,137,14,14,103,118,117,105,14,14,119,120,120,101,137,14,14,135,136,102,120,120,120,120,121,14,119,120,120,120,101,137,14,119,120,120,121,14,119,120,120,120,120,120,121,14,14,14,14,14,14,103,118,120,120,121,14,14,135,136,102,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,14,14,14,14,14,119,120,121,14,14,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,119,120,120,120,120,121,14,14,14,135,136,102,120,120,120,120,120,120,121,14,14,14,14,14,14,14,14,14,14,14,14,14,119,120,120,120,121,14,119,120,120,120,120,120,101,136,102,120,117,105,14,14,135,136,137,14,14,14,
104,104,104,104,104,104,104,104,118,120,117,105,14,14,135,102,120,120,120,117,104,104,104,105,14,103,104,104,104,104,104,105,14,135,136,102,120,120,120,120,120,101,136,136,136,136,102,117,105,14,135,102,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,101,136,102,121,14,119,120,120,120,120,120,120,120,120,120,120,117,104,104,104,118,120,121,14,119,120,120,121,14,119,120,120,120,120,120,120,120,120,120,101,136,136,136,136,136,136,137,14,14,14,14,14,14,14,14,14,14,119,120,120,117,105,14,14,14,14,14,135,102,117,105,14,119,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,103,104,105,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,104,104,105,14,119,120,120,120,120,120,120,101,136,136,136,137,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,117,105,14,135,102,120,120,121,14,119,120,120,120,117,105,14,135,136,136,136,136,136,136,102,120,120,120,120,121,14,14,14,14,14,14,103,118,120,120,117,105,14,135,136,136,137,14,14,14,14,14,135,102,120,120,101,137,14,119,120,120,120,121,14,14,119,120,120,121,14,119,120,120,120,120,101,137,14,103,104,104,104,104,118,120,120,120,121,14,14,14,14,135,102,120,120,120,120,120,120,120,117,105,14,14,103,104,105,14,14,103,104,104,104,118,120,117,104,104,104,104,104,104,104,105,14,14,119,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,121,14,14,103,104,104,104,104,104,104,105,14,119,120,120,120,120,121,14,14,14,14,14,119,120,120,120,120,120,101,137,14,103,104,104,104,104,104,104,104,104,104,105,14,119,120,120,120,121,14,119,120,120,120,101,136,137,14,119,120,120,117,105,14,14,14,14,14,103,104,
120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,102,120,120,120,120,120,101,137,14,119,120,120,120,120,120,121,14,14,14,119,120,120,120,120,120,121,14,14,14,14,135,102,121,14,14,135,136,136,137,14,103,118,120,120,120,120,120,120,120,120,120,120,120,117,105,14,135,136,102,120,120,121,14,119,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,118,120,120,121,14,135,136,136,136,136,102,120,120,120,101,137,14,14,14,14,14,14,14,14,103,104,104,104,104,104,104,105,14,119,120,120,120,121,14,103,104,105,14,14,119,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,104,118,120,117,104,104,104,105,14,14,135,102,120,120,120,120,120,120,120,120,120,120,101,136,136,136,102,120,120,120,120,120,120,120,117,104,118,120,120,121,14,119,120,120,120,120,120,101,137,14,14,14,14,14,14,14,135,136,102,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,118,120,120,120,120,121,14,14,119,120,101,137,14,119,120,120,120,120,121,14,14,14,14,14,14,14,14,135,102,120,120,120,117,104,105,14,103,104,104,118,120,120,120,120,121,14,14,14,14,14,14,103,104,105,14,14,135,102,101,137,14,14,119,120,120,120,121,14,103,118,120,120,121,14,119,120,120,101,136,137,14,14,119,120,120,120,120,120,120,120,120,117,104,104,105,14,14,135,136,102,120,120,120,120,120,120,121,14,14,119,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,101,136,136,136,137,14,135,102,120,120,120,120,120,121,14,135,102,120,120,120,120,117,104,118,120,120,120,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,121,14,103,118,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,103,105,14,14,135,136,136,102,101,136,137,14,14,119,120,120,120,120,120,120,120,120,120,121,14,135,136,102,120,121,14,119,120,120,120,121,14,14,14,119,120,120,120,121,14,14,14,103,104,118,120,
120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,101,136,137,14,14,119,120,120,120,120,120,117,104,104,104,118,120,120,120,120,101,137,14,103,105,14,14,119,117,105,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,101,136,136,136,137,14,14,14,135,136,136,137,14,119,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,119,120,120,120,121,14,14,103,104,105,14,14,14,103,118,120,120,120,120,120,120,117,104,118,120,120,101,137,14,119,120,117,105,14,135,136,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,136,136,102,120,120,120,120,120,120,101,137,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,121,14,135,136,136,102,120,101,137,14,14,103,104,104,104,105,14,14,14,135,136,102,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,101,136,136,136,136,136,136,102,120,120,120,120,120,120,117,105,14,119,120,121,14,14,119,120,120,120,120,121,14,14,103,104,104,104,105,14,14,135,102,120,120,120,120,121,14,119,120,120,120,120,120,120,120,117,104,104,104,104,104,104,118,120,117,105,14,14,135,137,14,14,103,118,120,120,120,121,14,119,120,120,120,121,14,119,120,101,137,14,14,14,14,119,101,136,102,120,120,120,120,120,120,120,120,117,105,14,14,14,135,102,120,120,120,120,120,117,105,14,135,102,117,105,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,101,137,14,14,14,14,14,14,135,102,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,101,136,136,136,136,136,102,120,120,120,121,14,14,135,136,136,136,137,14,135,102,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,119,117,105,14,14,14,14,119,121,14,14,14,103,118,120,120,120,120,120,120,120,120,120,121,14,14,14,135,136,137,14,119,120,120,120,121,14,103,104,118,120,120,120,121,14,14,14,135,136,136,136,
120,120,120,120,120,120,120,101,136,102,120,120,120,117,105,14,135,136,136,136,137,14,14,14,103,118,120,120,120,120,120,120,120,120,101,136,136,136,136,136,137,14,14,119,117,105,14,135,102,117,105,14,14,14,103,104,118,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,14,14,14,119,121,14,119,120,120,120,101,136,136,136,136,136,136,136,136,102,120,120,120,120,120,120,120,101,137,14,103,104,105,14,14,135,102,120,120,121,14,103,118,101,137,14,103,104,118,120,120,120,120,101,136,136,102,120,120,120,101,137,14,14,119,120,120,121,14,14,14,14,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,119,120,120,120,120,120,101,137,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,135,102,121,14,14,103,118,120,120,120,117,104,105,14,14,14,135,136,102,120,120,101,136,136,137,14,135,136,102,120,120,101,136,136,137,14,14,14,14,14,14,135,136,102,120,120,101,136,102,121,14,135,136,137,14,103,118,120,120,120,120,117,105,14,119,120,120,120,117,105,14,14,135,102,120,101,136,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,103,118,120,120,120,120,121,14,119,120,120,120,117,104,118,101,137,14,14,103,105,14,135,137,14,135,102,120,120,120,120,120,120,120,120,117,104,105,14,14,119,120,120,120,120,120,120,121,14,14,119,120,121,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,121,14,14,103,104,104,105,14,14,119,120,120,120,101,137,14,14,135,136,102,120,120,120,120,120,120,120,121,14,14,14,14,14,135,102,120,120,117,105,14,14,14,14,14,14,14,14,135,136,102,120,120,120,120,121,14,119,120,120,120,120,117,104,118,120,117,104,104,105,14,119,117,104,105,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,135,102,120,120,121,14,135,102,120,120,120,120,117,104,105,14,14,14,14,14,
120,120,120,120,120,101,136,137,14,119,120,120,120,120,121,14,14,14,14,14,14,14,103,104,118,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,103,118,120,121,14,14,135,102,121,14,103,104,118,120,120,120,101,136,136,102,120,120,120,121,14,14,14,14,103,104,104,105,14,103,104,104,104,118,121,14,119,120,101,136,137,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,121,14,14,119,120,117,105,14,14,135,136,136,137,14,119,101,137,14,14,119,120,120,120,120,120,101,137,14,14,119,120,120,120,121,14,14,103,118,120,120,121,14,103,104,105,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,105,14,135,102,120,120,101,136,137,14,14,103,104,105,14,14,135,136,136,136,136,102,120,120,120,120,120,117,104,104,105,14,14,135,137,14,103,118,120,120,120,120,120,120,117,104,105,14,14,14,135,136,136,137,14,14,14,14,14,14,135,102,101,137,14,14,14,14,14,14,103,105,14,14,14,135,136,136,137,14,135,137,14,14,14,14,14,119,120,120,120,120,120,120,121,14,135,102,120,120,120,117,105,14,14,135,136,137,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,104,118,120,120,120,120,101,137,14,119,120,120,120,120,120,120,121,14,14,103,118,121,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,117,105,14,119,120,117,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,121,14,103,118,120,120,117,104,104,118,120,120,101,137,14,14,14,14,14,135,102,120,120,120,120,120,120,117,104,105,14,14,14,14,119,120,120,120,121,14,14,14,103,104,104,105,14,14,14,119,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,103,104,104,105,14,14,135,136,136,137,14,14,119,120,120,120,120,120,120,117,104,104,104,104,104,
120,120,120,120,101,137,14,14,14,119,120,120,120,120,117,105,14,14,14,103,104,104,118,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,103,104,104,118,120,120,121,14,14,14,135,137,14,119,120,120,120,120,101,137,14,14,135,102,120,120,121,14,103,104,104,118,120,120,121,14,119,120,120,120,120,121,14,119,101,137,14,14,14,103,105,14,103,104,104,104,118,120,120,120,120,120,120,101,137,14,103,118,120,120,117,105,14,14,14,14,14,14,119,121,14,14,103,118,120,120,120,120,101,137,14,14,103,118,120,120,120,117,104,104,118,120,120,120,121,14,119,120,117,104,104,105,14,14,135,136,136,102,120,120,120,101,136,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,101,136,137,14,14,14,103,118,120,117,105,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,117,105,14,14,14,14,119,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,14,14,103,104,104,105,14,14,135,137,14,14,103,104,104,104,104,118,117,104,105,14,14,14,14,14,14,14,14,14,103,104,104,104,118,120,120,101,136,136,136,137,14,14,119,120,120,120,120,121,14,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,101,136,136,136,136,136,102,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,120,101,137,14,103,118,120,117,104,104,104,105,14,14,119,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,121,14,135,102,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,120,101,137,14,119,120,120,121,14,119,120,120,120,120,120,120,120,120,101,137,14,14,103,104,105,14,14,119,120,120,120,120,120,120,120,120,117,104,104,105,14,119,120,120,120,121,14,14,103,118,120,120,117,104,105,14,135,136,102,101,136,137,14,135,136,102,120,120,120,120,101,136,102,120,120,121,14,119,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,117,105,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,
136,136,136,136,137,14,14,103,104,118,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,117,104,105,14,14,14,14,119,120,120,120,101,137,14,14,14,14,119,120,120,121,14,119,120,120,120,120,120,121,14,135,102,120,120,120,121,14,135,137,14,14,14,14,135,137,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,117,104,105,14,103,104,104,118,121,14,103,118,120,120,120,120,101,137,14,14,103,118,120,120,120,120,120,120,120,120,120,101,136,137,14,119,120,120,120,120,117,105,14,14,14,14,135,136,136,136,137,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,117,105,14,135,137,14,14,14,103,104,118,120,120,120,121,14,103,104,104,105,14,14,119,120,120,120,120,120,120,120,120,117,105,14,103,104,118,120,120,120,120,120,120,120,120,120,101,137,14,103,104,104,104,104,104,118,120,120,117,105,14,14,14,14,103,118,120,120,120,120,120,120,120,121,14,14,103,104,104,104,104,104,104,118,120,120,120,120,120,120,121,14,14,14,14,14,103,118,120,120,120,101,137,14,14,103,104,104,104,105,14,119,120,120,120,120,120,120,120,120,121,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,101,136,137,14,14,14,103,118,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,121,14,14,119,120,120,117,104,118,120,120,120,120,120,120,120,120,120,120,101,137,14,14,119,120,120,121,14,119,120,120,120,120,120,120,120,101,137,14,14,103,118,120,117,105,14,135,136,136,136,136,136,102,120,120,120,120,120,121,14,119,120,120,101,137,14,103,118,120,120,120,120,120,121,14,14,14,135,137,14,14,14,14,14,119,120,120,120,101,137,14,119,120,120,121,14,119,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,121,14,135,102,120,120,120,117,104,104,104,104,104,105,14,14,135,102,120,120,120,120,120,120,120,120,120,120,
14,14,14,14,14,14,103,118,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,101,136,136,136,102,120,120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,117,104,104,104,104,118,120,120,101,137,14,14,103,105,14,135,102,120,121,14,119,120,120,120,120,120,121,14,14,135,136,102,120,121,14,14,14,14,103,105,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,121,14,119,120,120,120,121,14,119,120,101,136,136,136,137,14,14,103,118,120,120,120,120,120,120,120,120,120,101,137,14,14,14,119,120,120,120,120,120,117,104,104,105,14,14,14,14,14,14,14,103,105,14,14,135,102,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,103,104,118,120,120,120,120,120,121,14,119,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,120,120,101,137,14,14,103,104,118,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,104,104,118,120,120,120,101,137,14,14,103,118,120,120,101,137,14,135,136,102,120,120,120,120,120,120,117,104,104,104,105,14,119,120,120,120,120,120,120,120,101,136,137,14,14,14,103,104,118,120,120,120,120,121,14,14,14,103,118,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,101,136,136,136,137,14,119,120,120,120,120,120,120,101,136,137,14,14,135,136,102,120,120,120,120,120,101,136,136,136,136,136,136,136,137,14,14,103,118,120,101,137,14,119,120,120,120,101,136,136,136,137,14,14,103,118,120,120,120,121,14,14,14,14,14,14,14,135,102,120,120,120,120,121,14,135,102,120,121,14,14,119,120,120,120,120,120,120,117,104,105,14,14,14,14,103,104,104,104,118,120,120,101,137,14,14,119,120,120,121,14,135,136,102,117,105,14,119,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,120,120,120,117,105,14,14,135,136,102,120,120,120,120,120,120,120,120,
104,104,104,104,105,14,119,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,101,136,137,14,14,14,135,102,120,120,120,120,120,120,117,105,14,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,118,121,14,14,119,120,121,14,119,120,120,120,120,120,117,105,14,14,14,135,136,137,14,14,14,103,118,117,104,104,105,14,119,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,117,104,118,120,120,120,117,104,118,101,137,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,101,137,14,14,103,104,118,120,120,120,120,120,120,120,120,117,104,104,104,104,104,104,104,118,117,105,14,14,135,136,136,136,102,120,120,120,120,120,120,117,105,14,103,104,118,120,120,120,120,120,120,120,121,14,119,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,117,104,118,120,120,120,120,120,120,120,120,120,121,14,14,14,103,118,120,120,120,120,120,120,120,101,137,14,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,118,120,120,120,120,120,101,137,14,14,103,118,120,120,101,137,14,14,14,14,135,136,136,136,136,102,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,121,14,14,14,103,104,118,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,101,137,14,14,103,118,120,120,120,120,120,121,14,14,14,14,14,119,120,120,120,120,120,101,137,14,14,14,14,14,14,135,102,120,120,120,101,137,14,14,14,14,14,14,14,14,14,103,118,120,120,121,14,14,119,120,120,120,121,14,14,14,14,14,103,118,120,120,120,120,117,104,104,104,104,104,105,14,14,119,120,120,120,120,121,14,14,119,120,121,14,103,118,120,120,120,120,120,120,120,120,117,104,104,104,104,118,120,120,120,120,120,120,121,14,14,103,118,120,120,121,14,14,14,119,120,121,14,119,120,120,120,120,120,120,101,137,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,135,136,102,120,120,120,120,120,120,
120,120,120,120,121,14,135,102,120,120,120,120,120,120,101,137,14,119,120,120,120,101,137,14,14,14,14,14,14,135,102,120,120,120,120,120,120,117,105,14,14,14,14,135,136,102,120,120,120,120,120,120,120,120,101,137,14,103,118,120,117,104,104,118,120,121,14,119,120,120,120,120,120,120,117,104,105,14,14,14,14,14,103,104,118,120,120,120,120,121,14,135,136,136,136,136,102,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,101,137,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,135,136,136,136,102,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,101,137,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,103,118,120,120,120,120,101,136,136,136,137,14,14,103,118,120,120,120,120,120,120,101,136,136,136,136,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,101,136,137,14,14,103,118,120,120,101,137,14,14,14,14,14,14,14,14,14,14,135,102,120,120,120,121,14,14,119,120,120,120,120,120,120,120,121,14,103,104,118,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,101,137,14,103,104,105,14,135,102,120,120,120,101,137,14,14,14,103,105,14,14,14,135,136,102,101,137,14,14,103,104,104,105,14,103,104,104,118,120,120,120,121,14,14,119,120,120,120,117,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,101,136,137,14,14,119,120,120,120,120,117,105,14,119,101,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,120,117,105,14,14,135,136,137,14,119,120,120,120,120,120,120,121,14,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,135,102,120,120,120,120,120,
120,120,120,120,121,14,14,135,102,120,120,120,101,136,137,14,14,119,120,120,120,121,14,14,103,104,104,105,14,14,135,102,120,120,120,120,120,120,121,14,14,14,14,14,14,135,136,102,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,117,105,14,14,103,104,118,120,120,120,120,120,120,121,14,14,14,14,14,14,135,102,120,120,120,101,136,137,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,104,104,104,118,120,101,136,136,136,136,136,136,136,136,137,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,105,14,14,14,14,14,119,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,121,14,14,14,14,135,136,136,136,136,136,136,136,136,102,120,120,120,120,120,120,120,120,121,14,14,14,103,118,120,120,120,120,120,121,14,14,14,14,14,103,118,120,120,101,136,136,136,136,137,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,101,137,14,14,14,103,118,120,120,120,121,14,14,103,104,104,104,104,104,104,105,14,14,119,120,120,120,117,105,14,135,102,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,121,14,14,14,14,119,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,120,121,14,14,119,120,121,14,14,135,102,120,101,137,14,14,103,104,118,121,14,14,14,14,14,135,137,14,14,103,118,120,120,121,14,135,136,102,120,120,120,101,137,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,119,120,120,120,120,120,121,14,135,137,14,14,119,120,120,120,120,120,101,136,136,136,136,102,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,117,105,14,14,14,14,14,119,120,120,101,136,136,136,137,14,14,119,120,120,120,120,120,120,101,136,136,102,120,120,120,120,120,117,104,104,105,14,14,135,102,120,120,120,120,
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104,104,105,14,135,136,136,102,120,101,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,117,104,104,105,14,103,104,105,14,103,104,118,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,120,120,120,120,120,120,101,136,137,14,14,103,104,118,120,120,120,120,120,120,120,120,101,137,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,117,104,105,14,14,14,135,136,137,14,14,103,104,118,120,120,120,120,120,121,14,119,120,120,120,121,14,14,119,120,120,120,120,120,121,14,119,120,120,120,117,105,14,14,135,102,120,120,121,14,14,119,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,135,102,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,121,14,14,14,14,135,136,136,136,136,136,136,136,136,136,136,102,120,120,120,120,117,104,105,14,135,136,137,14,14,14,103,105,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,121,14,14,14,14,14,14,103,104,105,14,14,14,135,102,120,120,120,117,105,14,14,14,135,136,102,120,101,137,14,14,103,118,120,120,120,120,120,121,14,14,14,14,14,119,120,120,120,120,120,120,101,137,14,135,136,136,136,137,14,14,135,136,136,136,102,120,120,120,120,120,120,120,101,136,136,136,136,136,136,102,120,120,120,120,120,120,101,136,137,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,117,105,14,14,14,119,120,120,120,120,120,121,14,103,118,120,120,120,117,105,14,14,119,120,120,120,101,136,102,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,135,136,136,136,102,120,120,120,120,120,120,120,120,117,105,14,103,104,118,120,117,105,14,14,135,102,120,120,120,120,120,101,137,14,14,103,105,14,119,120,120,120,101,136,137,14,14,14,14,14,14,14,119,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,137,14,14,
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120,121,14,135,102,120,120,120,117,105,14,14,14,14,14,103,118,120,120,120,120,117,104,105,14,135,102,120,120,117,104,118,120,120,120,121,14,14,119,120,120,120,117,105,14,14,14,135,102,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,14,135,136,136,102,121,14,103,118,120,120,120,121,14,119,120,120,120,120,120,120,120,120,101,136,137,14,135,136,137,14,14,103,118,120,101,137,14,14,103,118,120,101,137,14,14,14,14,14,14,14,119,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,121,14,14,135,102,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,14,135,102,120,120,120,101,137,14,14,14,103,118,120,120,120,120,120,120,120,120,120,101,137,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,104,105,14,119,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,121,14,14,135,136,102,120,101,136,136,137,14,119,120,120,120,120,120,120,121,14,14,103,118,120,117,105,14,14,135,102,120,120,120,120,120,120,121,14,119,120,120,121,14,14,14,14,14,119,120,120,117,104,118,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,121,14,103,104,105,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,105,14,119,120,120,121,14,119,120,120,120,120,120,120,121,14,14,119,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,117,104,104,118,120,120,121,14,14,135,136,136,102,120,120,120,120,117,105,14,135,102,120,120,121,14,14,14,14,14,14,103,104,118,120,120,120,120,120,120,120,117,105,14,14,119,120,120,120,121,14,135,102,120,120,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,117,104,105,14,103,104,104,118,120,120,120,101,136,137,14,135,136,136,102,120,120,120,120,120,120,120,120,120,
120,121,14,14,119,120,120,120,120,117,105,14,103,104,104,118,120,120,120,120,120,120,120,121,14,14,135,136,136,136,102,120,120,120,101,137,14,103,118,120,120,120,120,121,14,14,14,14,135,102,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,105,14,14,14,14,135,137,14,119,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,103,118,120,120,121,14,14,103,118,120,120,121,14,14,103,105,14,103,104,104,118,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,117,105,14,14,135,136,136,102,120,120,120,101,137,14,14,14,103,104,104,104,105,14,14,14,135,136,102,101,137,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,117,104,118,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,119,120,120,120,120,120,121,14,14,14,14,135,136,137,14,14,14,14,119,120,120,120,120,120,120,121,14,14,119,120,120,120,117,105,14,14,119,120,120,120,120,120,120,121,14,119,120,120,117,105,14,14,14,103,118,120,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,120,120,120,120,120,121,14,119,120,121,14,14,119,120,120,120,120,120,101,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,103,118,117,104,118,120,120,121,14,119,120,120,120,120,120,120,121,14,103,118,120,120,101,136,137,14,14,119,120,120,101,136,102,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,135,136,136,102,120,120,121,14,14,135,136,136,137,14,103,104,104,105,14,135,136,102,120,120,101,136,136,102,120,120,117,104,104,118,120,120,120,121,14,14,135,136,102,101,136,136,136,136,137,14,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,121,14,14,14,14,14,14,135,136,102,120,120,120,120,120,120,120,
101,137,14,14,119,120,120,120,120,120,117,104,118,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,135,102,120,120,121,14,14,119,120,120,120,120,101,137,14,103,105,14,14,119,120,120,120,120,120,117,104,118,120,120,120,120,120,120,101,136,136,136,102,120,120,120,120,120,117,104,104,105,14,14,14,14,119,120,120,120,120,117,104,118,136,102,120,120,120,120,120,101,137,14,14,103,104,104,104,104,118,120,120,120,121,14,103,118,120,120,101,137,14,103,118,121,14,119,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,135,136,136,136,137,14,14,103,104,118,120,120,120,117,104,105,14,14,14,119,121,14,14,103,105,14,14,119,120,120,120,120,120,120,120,120,120,117,104,104,118,120,120,120,120,120,101,136,136,136,136,136,136,136,102,120,120,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,136,136,136,136,102,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,103,105,14,14,14,14,14,103,104,104,118,120,120,120,120,120,101,137,14,103,118,120,120,120,120,117,105,14,119,120,120,120,120,120,101,137,14,119,120,120,120,117,105,14,103,118,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,101,136,137,14,119,120,117,105,14,135,102,120,120,120,120,121,14,119,120,101,136,136,136,136,136,102,120,120,120,120,120,120,101,136,136,136,136,136,102,120,120,121,14,119,120,101,136,102,120,120,121,14,135,136,136,136,136,102,120,117,104,118,120,120,101,137,14,14,14,103,118,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,117,104,105,14,14,14,14,14,119,120,120,117,105,14,14,14,14,14,14,119,120,120,121,14,14,14,135,136,136,137,14,14,119,120,120,120,120,120,120,120,120,120,117,105,14,14,14,135,137,14,14,14,14,14,14,14,119,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,101,137,14,103,104,104,105,14,14,14,135,102,120,120,120,120,120,120,
137,14,14,14,135,136,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,104,105,14,14,135,102,101,137,14,103,118,120,120,120,120,121,14,14,119,117,105,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,119,120,120,120,120,101,136,102,120,117,104,105,14,103,118,120,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,121,14,119,120,120,120,121,14,14,119,120,121,14,119,120,120,120,120,120,120,121,14,14,103,118,120,120,120,120,120,120,120,120,120,120,120,117,104,105,14,14,14,14,14,14,14,14,103,118,120,120,120,120,120,120,120,117,104,105,14,135,137,14,103,118,117,105,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,135,102,120,120,120,101,136,137,14,119,120,120,120,120,120,120,120,120,120,120,101,136,136,136,136,136,136,137,14,14,14,14,135,102,120,120,120,101,136,102,120,121,14,119,120,120,120,120,120,121,14,119,117,104,104,105,14,103,118,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,14,119,120,120,120,120,117,104,118,120,120,120,120,120,101,136,137,14,14,103,118,120,120,120,120,101,136,136,136,136,137,14,14,14,119,120,120,121,14,14,135,136,136,136,136,137,14,135,136,137,14,14,14,14,14,135,102,120,120,120,120,101,137,14,14,14,14,14,119,120,120,121,14,119,120,121,14,135,136,136,137,14,14,14,14,14,14,119,120,120,120,120,120,120,121,14,14,103,104,118,120,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,117,104,104,104,105,14,119,120,120,120,117,105,14,14,14,103,104,118,120,120,117,104,105,14,14,14,14,14,14,103,118,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,14,103,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,101,137,14,14,119,120,120,117,104,105,14,14,119,120,120,120,120,120,120,
14,14,14,14,14,14,135,102,120,120,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,103,118,120,117,105,14,14,135,137,14,14,119,120,120,120,120,120,121,14,103,118,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,103,104,118,120,120,120,120,121,14,119,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,135,102,120,120,120,120,121,14,103,118,120,120,120,120,120,120,120,120,120,121,14,135,136,136,136,137,14,103,118,120,121,14,119,120,120,120,120,120,101,137,14,103,118,120,120,120,101,136,102,120,120,120,120,120,120,120,120,117,104,104,104,104,104,104,104,104,118,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,119,120,120,121,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,104,104,104,105,14,14,135,136,102,120,121,14,14,14,119,120,120,120,120,120,120,120,120,120,101,137,14,14,14,14,14,14,14,14,103,105,14,14,135,102,120,120,121,14,119,120,117,104,118,120,120,120,120,101,137,14,119,120,120,120,117,104,118,120,120,120,120,120,120,120,120,101,137,14,103,118,120,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,103,118,120,120,120,120,101,136,136,136,136,136,136,136,137,14,14,14,103,118,120,120,120,120,120,121,14,14,14,14,14,14,103,104,118,120,120,117,105,14,14,14,14,14,14,14,14,14,14,14,14,103,104,105,14,14,135,102,120,120,120,121,14,14,103,104,105,14,119,120,120,121,14,119,101,137,14,14,14,14,14,14,103,104,104,105,14,119,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,117,105,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,117,105,14,14,119,120,120,120,120,120,120,121,14,103,104,104,104,104,118,120,120,120,120,120,120,120,120,120,120,120,120,117,105,14,14,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,120,121,14,14,103,118,120,120,120,120,117,105,14,135,102,120,120,120,120,120,
104,104,104,104,105,14,14,119,120,120,120,120,120,120,120,120,120,120,101,136,137,14,14,14,103,118,120,120,120,117,105,14,14,14,14,103,118,120,120,120,120,101,137,14,119,120,120,117,104,118,120,120,120,120,120,120,120,120,101,136,136,136,136,137,14,14,135,102,120,120,120,120,101,137,14,119,120,120,120,121,14,119,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,121,14,14,14,14,14,14,14,119,120,101,137,14,135,136,136,102,120,120,121,14,14,119,120,120,120,120,121,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,104,104,118,120,120,117,105,14,135,136,136,102,120,120,120,120,120,120,120,120,120,120,120,101,137,14,14,103,118,120,120,120,117,105,14,14,14,135,136,137,14,103,104,118,120,120,120,120,101,136,102,101,136,137,14,14,103,104,104,104,104,104,104,118,117,105,14,14,119,120,120,121,14,135,102,120,120,120,120,120,120,101,137,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,119,120,120,120,120,120,121,14,14,14,14,14,14,14,14,14,103,104,118,120,120,120,120,120,120,117,104,105,14,103,104,104,118,120,120,120,120,120,121,14,103,105,14,103,104,104,105,14,14,14,103,118,120,117,105,14,14,119,120,120,120,121,14,103,118,120,121,14,119,120,120,121,14,135,137,14,14,14,14,14,103,104,118,120,120,121,14,135,102,120,120,120,120,120,121,14,14,119,120,120,120,120,120,120,121,14,135,102,120,120,120,120,120,120,120,120,120,120,101,136,102,120,121,14,135,102,120,120,120,120,117,105,14,119,120,120,120,120,120,101,137,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,117,104,105,14,14,119,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,121,14,119,120,120,120,101,137,14,103,118,120,120,120,120,120,120,121,14,14,119,120,120,120,120,120,
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2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,0,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,2,2,2,0,2,2,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,0,2,2,2,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,0,0,2,2,2,2,0,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,0,0,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,0,0,0,2,2,2,0,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,0,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,0,0,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,0,0,0,0,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,0,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,0,0,2,2,2,0,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,0,0,2,2,0,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,0,0,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,0,0,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,0,0,0,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,0,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,0,0,0,0,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,0,0,2,2,2,0,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,0,0,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,0,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,0,0,0,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,0,0,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,0,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,0,2,2,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,2,0,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,0,2,2,2,0,2,2,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,0,2,2,2,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
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