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3,35,67,67,871,873,67,3,67,19,67,67,3,19,3,3,19,3,19,67,51,67,51,51,3,3,19,67,3,67,3,35,3,51,51,3,51,67,35,35,51,3,3,3,67,35,35,51,51,3,67,67,35,3,3,3,3,51,3,35,35,3,51,51,51,67,35,3,51,3,51,3,3,35,3,3,3,101,102,103,35,35,51,51,3,3,67,35,3,51,3,3,3,3,3,3,67,3,3,51,51,3,3,67,101,103,51,51,85,83,103,3,3,3,3,3,3,3,3,3,3,3,3,3,3,127,123,89,89,89,89,89,89,89,89,89,142,108,109,109,109,109,109,109,109,109,109,109,109,109,
67,3,67,919,907,906,873,3,67,35,35,3,19,51,3,35,35,67,51,19,35,19,3,3,67,67,67,19,3,3,3,67,3,3,3,67,19,3,3,67,3,3,67,19,67,3,67,3,67,3,19,3,3,3,67,3,3,3,3,67,3,67,67,3,19,3,3,3,3,67,67,19,3,3,3,67,3,67,19,67,3,67,3,3,67,3,67,3,67,3,3,67,3,3,3,19,3,3,67,3,3,3,3,3,3,67,3,67,85,87,67,3,3,3,3,3,3,3,3,3,3,3,3,3,3,143,89,89,89,89,89,140,176,177,176,177,178,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,67,935,938,939,937,67,51,3,35,35,35,51,19,35,3,67,3,3,19,19,3,67,51,35,35,67,35,67,67,19,19,3,3,3,3,35,19,19,3,3,3,3,35,19,19,3,3,3,3,35,19,19,3,3,3,3,35,19,19,3,3,3,3,35,19,19,3,3,3,3,35,19,19,3,3,3,3,35,19,19,3,3,3,3,35,19,19,76,78,19,3,3,3,3,35,19,19,3,3,3,3,35,19,19,3,3,85,86,71,3,3,3,3,3,3,3,3,3,3,3,3,3,3,88,89,89,89,89,57,178,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
67,3,3,887,954,955,889,67,51,3,67,3,67,19,3,67,35,19,19,67,51,19,35,3,19,19,67,3,3,67,3,19,51,3,35,35,51,51,19,51,3,35,35,51,51,19,127,129,130,35,51,51,19,51,3,35,35,51,51,19,51,3,35,35,51,51,19,51,3,35,35,51,51,19,51,3,35,35,51,51,19,51,3,35,35,51,51,19,51,108,110,51,3,35,35,51,69,71,51,3,35,35,51,51,19,51,3,35,85,86,87,3,3,3,3,3,3,3,3,3,3,3,3,3,3,88,89,89,89,89,162,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,67,67,903,904,952,953,3,3,3,51,67,3,19,19,3,3,871,873,35,51,35,51,51,67,3,51,51,67,67,3,67,35,35,51,67,67,69,70,70,70,70,70,70,71,67,143,161,146,67,67,35,67,35,35,51,67,67,35,67,69,70,70,71,67,35,67,35,35,51,67,67,35,67,35,35,51,67,67,35,67,35,35,51,67,67,35,67,35,35,67,35,35,51,67,67,85,86,71,35,51,67,67,35,67,35,35,69,86,87,103,3,3,3,3,3,3,3,3,3,3,3,3,3,3,159,89,89,89,89,162,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
51,3,51,3,3,3,51,3,19,3,3,67,3,35,51,51,19,887,889,35,35,35,67,67,35,35,67,19,67,67,3,51,3,67,19,19,3,85,86,86,86,86,86,86,86,51,104,193,106,19,3,3,51,3,67,19,19,3,3,51,85,86,86,87,3,3,51,3,67,19,69,71,3,51,3,67,19,19,3,3,51,3,67,19,19,3,3,19,3,67,69,71,67,19,19,3,101,84,86,71,19,19,3,3,51,3,67,85,86,87,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,88,89,89,161,89,41,130,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,67,67,19,3,19,67,51,67,35,35,51,67,3,67,19,871,907,954,873,35,35,35,67,67,35,3,35,35,3,3,51,19,69,70,70,70,87,102,102,102,102,102,102,84,71,19,19,3,3,35,19,51,19,19,3,3,35,19,51,85,83,102,103,35,19,51,19,19,3,85,86,19,51,19,19,3,3,35,19,51,19,19,3,3,35,19,51,19,19,85,86,70,71,3,35,19,85,86,86,71,3,35,19,51,19,19,101,102,103,19,3,3,3,3,3,3,3,3,3,3,3,3,3,72,40,89,89,89,89,89,41,129,129,125,3,3,122,73,73,129,130,127,128,73,73,128,128,129,73,
3,35,35,35,67,67,3,67,51,51,35,51,19,3,35,35,903,891,890,905,51,67,67,35,3,67,35,67,51,51,67,69,70,83,102,84,86,103,19,51,3,35,35,51,85,86,70,70,71,35,51,51,19,51,3,35,35,51,51,19,85,87,35,35,51,51,19,51,3,35,85,86,71,19,51,3,35,35,51,51,19,51,3,35,35,51,51,19,51,3,85,86,86,86,71,51,51,101,102,84,87,35,51,51,19,51,3,35,35,51,51,3,3,3,3,3,3,3,3,3,3,3,3,3,88,89,89,89,89,89,89,89,89,89,124,73,73,123,89,89,89,124,123,89,89,89,89,89,89,89,
67,67,51,3,35,19,67,3,871,873,35,3,35,67,35,67,19,903,905,35,35,3,67,51,51,3,67,51,51,67,3,85,83,103,51,101,103,35,67,35,35,51,67,67,101,102,84,86,86,71,67,35,67,35,35,51,67,67,35,67,85,87,51,67,67,35,67,35,35,51,101,84,86,70,70,71,51,67,67,35,67,35,35,51,67,67,35,67,35,35,101,102,102,84,87,67,35,67,35,85,87,67,67,35,67,35,35,51,67,67,35,3,3,3,3,3,3,3,3,3,3,3,3,72,40,89,145,89,140,176,105,176,177,139,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,
35,35,67,19,67,3,35,19,887,906,872,873,67,35,35,35,35,35,67,35,35,67,51,3,3,67,3,3,3,3,3,85,86,70,71,19,3,3,51,69,70,71,19,3,3,51,101,102,84,86,70,71,51,3,67,19,19,3,3,51,85,86,71,19,3,3,51,3,67,19,19,85,86,86,86,86,71,19,3,3,51,3,67,19,19,3,3,51,3,67,51,3,67,85,86,71,3,51,3,85,87,19,3,3,51,3,67,19,19,3,3,3,3,3,3,3,3,3,3,3,3,3,127,89,89,89,140,177,178,3,3,3,3,175,105,105,176,105,177,105,105,105,176,105,176,105,105,105,105,105,
51,35,35,67,51,19,19,3,903,904,891,906,873,35,19,35,67,19,3,51,51,35,51,67,67,35,35,3,67,67,67,101,102,84,87,3,35,19,51,85,86,86,71,35,19,51,69,70,100,86,86,87,51,19,19,3,3,35,19,51,85,86,87,3,35,19,51,19,19,3,3,101,102,102,102,84,86,71,35,19,51,69,70,71,3,35,19,51,19,19,51,19,19,101,84,87,19,51,19,85,87,3,35,19,51,19,19,3,3,35,19,3,3,3,3,127,130,3,3,3,121,129,89,89,89,140,178,3,3,3,51,51,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
35,51,67,3,51,67,67,3,35,19,903,891,889,67,35,67,3,51,67,67,3,67,67,67,67,3,3,67,3,3,3,35,35,101,103,51,51,67,35,101,102,84,87,51,67,35,85,86,86,87,102,103,35,35,51,51,51,51,67,35,101,84,87,51,51,67,35,35,51,51,51,51,67,35,35,101,84,87,51,67,69,86,86,86,71,51,67,35,35,51,35,35,51,51,85,87,67,35,69,86,87,51,51,67,35,35,51,51,51,51,67,3,3,3,122,123,124,130,3,121,123,89,89,89,140,178,3,3,3,51,51,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
51,19,67,3,51,19,67,51,3,3,3,903,905,51,35,19,67,67,3,35,3,67,67,51,3,67,3,67,67,67,3,3,67,67,67,67,19,67,3,67,67,101,103,19,67,3,101,102,102,103,19,67,3,67,67,67,67,19,67,3,67,85,87,67,19,67,3,67,67,67,67,19,67,3,67,67,85,86,70,70,86,86,86,86,87,19,67,3,67,67,3,67,67,67,85,86,70,70,86,83,103,67,19,67,3,67,67,67,67,19,67,3,127,128,123,89,89,124,128,40,89,89,89,140,141,51,51,3,51,51,3,3,51,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
67,35,67,51,67,67,67,35,3,19,3,19,3,3,67,35,35,19,3,3,67,3,35,67,3,35,67,35,3,67,67,19,19,3,3,3,3,35,19,19,3,3,3,3,35,19,19,3,3,3,3,35,19,19,3,3,3,3,35,19,69,86,87,3,3,35,19,19,3,3,3,3,35,19,19,3,85,86,86,86,83,102,102,102,103,3,35,19,19,3,19,19,3,3,85,86,86,86,83,103,3,3,3,35,19,19,3,3,3,3,35,122,123,89,89,89,89,89,89,89,89,57,177,178,51,51,3,51,51,3,3,51,51,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
51,35,35,67,871,872,873,3,51,67,3,3,3,35,35,67,51,19,3,35,67,51,3,3,19,35,35,19,67,67,35,19,51,3,35,35,51,51,19,51,3,35,35,51,51,19,51,3,35,35,51,51,19,51,3,35,35,51,51,19,85,86,103,35,51,51,19,51,3,35,35,51,51,19,51,3,101,102,84,83,103,51,3,35,35,51,51,19,51,3,19,51,3,35,101,102,102,102,103,3,35,35,51,51,19,51,3,35,35,51,127,123,89,89,89,89,89,89,89,89,89,142,3,51,51,3,3,51,51,3,51,51,51,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
67,19,871,872,907,888,954,873,3,35,19,19,3,35,3,35,67,67,51,19,35,35,51,51,3,19,67,19,3,3,35,67,35,35,51,67,67,35,67,35,35,51,67,67,35,67,35,35,51,67,67,35,67,35,35,51,67,67,35,67,101,103,51,67,67,35,67,35,35,51,67,67,35,67,35,35,51,67,101,103,67,35,35,51,67,67,35,67,35,35,67,35,35,51,67,67,35,67,35,35,51,67,67,35,67,35,35,51,127,129,123,89,89,89,140,176,176,105,176,176,177,141,51,3,3,3,3,51,3,3,51,51,51,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
67,871,907,888,890,952,952,905,19,51,67,67,67,19,35,51,51,3,3,35,35,67,871,873,19,51,3,19,67,3,35,51,3,67,19,19,3,3,51,3,67,19,19,3,3,51,3,67,19,19,3,3,51,3,67,19,19,3,3,51,3,67,19,19,3,3,51,3,67,19,19,3,3,51,3,67,19,19,3,3,51,3,67,19,19,3,3,51,3,67,51,3,67,19,19,3,3,51,3,67,19,19,3,3,51,3,67,121,40,89,89,89,89,140,178,3,51,35,35,35,35,51,3,3,51,3,3,51,51,51,51,51,51,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
871,907,888,890,905,51,19,19,67,35,51,3,3,19,3,19,67,35,3,35,3,871,907,889,67,19,35,35,3,3,3,51,19,19,3,3,35,19,51,19,19,3,3,35,19,51,19,19,3,3,35,19,51,19,19,3,3,35,19,51,19,19,3,3,35,19,51,19,19,3,3,35,19,51,19,19,3,3,35,19,51,19,19,3,3,35,19,51,19,19,51,19,19,3,3,35,19,51,19,19,3,3,35,121,130,67,67,143,89,89,89,89,140,178,3,51,51,35,51,3,3,51,3,51,3,3,51,51,51,51,51,51,51,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
903,904,904,905,67,51,51,67,19,35,3,3,35,3,3,19,35,51,19,3,871,907,890,905,35,67,51,19,3,51,35,35,35,51,51,51,51,67,35,35,51,51,51,51,67,35,35,51,51,51,51,67,35,35,51,51,51,51,67,35,35,51,51,51,51,67,35,35,51,51,51,51,67,35,35,51,51,51,51,67,35,35,51,51,51,51,67,35,35,51,35,35,51,51,51,51,67,35,35,51,51,51,51,143,146,67,67,159,89,89,89,140,178,3,3,3,35,51,3,51,3,3,3,3,3,51,51,51,51,51,51,51,51,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,35,19,19,35,3,67,35,35,35,51,19,871,872,873,51,3,19,35,67,903,904,905,19,3,35,35,19,3,35,35,3,67,67,67,67,19,67,3,67,67,67,67,19,67,3,67,67,67,67,19,67,3,67,67,67,67,19,67,3,67,67,67,67,19,67,3,67,67,67,67,19,67,3,67,67,67,67,76,75,78,67,67,67,67,19,67,3,67,67,3,67,67,67,67,19,67,3,67,67,67,67,127,40,41,73,128,40,89,89,140,178,3,3,3,51,51,35,51,51,3,51,51,51,51,51,3,51,51,51,51,51,51,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
19,67,35,3,67,3,51,35,871,872,872,872,907,890,905,35,67,35,67,67,3,51,67,35,19,67,3,51,67,3,35,19,19,3,3,3,3,35,19,19,3,3,3,3,35,19,19,3,3,3,3,35,19,19,3,3,3,3,35,19,19,3,3,3,3,35,19,19,3,3,3,3,35,19,19,3,3,3,92,93,94,19,3,3,3,3,35,19,19,3,19,19,3,3,3,3,35,19,19,3,3,3,159,89,89,89,89,89,140,177,178,3,3,3,3,3,3,3,3,3,3,3,3,3,3,51,51,51,51,51,51,51,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
871,872,873,67,67,67,51,67,903,904,891,888,890,905,3,19,67,51,67,35,19,67,3,67,19,35,51,35,3,3,35,3,3,3,35,3,3,3,35,3,3,35,67,67,35,3,3,3,51,35,19,3,51,3,67,19,67,3,51,19,67,35,35,19,35,35,67,35,67,67,35,51,3,19,3,67,35,35,91,93,107,51,35,3,3,51,67,35,3,67,35,51,67,3,35,35,3,19,3,3,3,121,40,89,89,89,140,177,178,67,35,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,51,51,51,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
955,938,905,35,3,67,3,35,19,19,903,891,889,35,19,19,19,35,67,67,35,3,3,3,35,51,19,35,3,51,67,35,35,3,3,3,67,67,35,51,35,35,35,3,35,3,67,67,35,3,35,35,35,35,67,35,3,35,3,35,19,3,35,35,35,67,3,35,67,67,67,3,35,35,67,3,51,3,108,109,110,35,3,35,35,35,3,67,67,3,35,67,3,67,67,35,3,67,67,3,67,159,89,89,89,57,141,3,3,67,35,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
938,953,67,35,67,35,3,19,35,3,35,903,905,19,19,3,3,19,35,35,35,51,3,3,19,51,3,67,3,3,3,3,67,3,35,35,3,3,3,51,3,3,67,3,3,19,35,35,3,51,3,35,3,67,3,3,19,67,67,3,35,35,35,35,51,67,67,51,3,3,3,67,35,35,3,3,67,35,51,3,35,35,3,3,67,67,35,3,35,51,3,3,3,3,51,67,51,51,67,67,67,159,89,89,57,106,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
937,3,35,35,35,35,67,3,67,3,19,3,3,19,3,3,19,19,35,19,51,3,3,3,35,3,19,19,67,35,67,67,3,3,51,67,3,3,3,3,35,35,3,35,19,3,3,51,3,51,3,3,3,19,19,35,35,35,35,3,3,19,35,35,3,3,51,3,35,51,67,51,3,51,51,35,35,3,67,67,67,3,67,35,3,35,3,51,35,3,67,51,51,3,67,51,3,3,3,67,67,159,89,89,162,3,3,3,3,67,51,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
953,51,3,35,35,19,35,67,19,19,67,19,19,3,3,67,3,35,35,35,35,67,67,19,19,67,3,67,35,3,35,3,67,3,35,67,3,67,67,67,67,51,67,51,19,51,35,51,51,67,35,35,67,67,67,3,51,35,35,35,67,67,35,35,35,51,35,67,3,35,67,67,67,67,3,3,35,43,44,35,67,67,43,44,35,3,67,67,67,3,3,67,3,35,51,3,67,3,3,67,127,40,89,89,90,3,51,3,3,35,67,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,35,35,35,51,67,35,67,3,35,51,67,67,35,3,19,3,3,35,35,3,67,51,35,19,67,35,35,35,67,3,3,3,67,3,35,51,67,3,3,3,67,35,67,19,67,19,35,35,19,67,3,35,35,35,35,35,51,3,51,51,35,35,35,51,3,67,67,3,51,35,3,67,51,51,35,3,3,67,35,67,35,3,67,35,35,67,35,35,3,67,3,35,35,67,67,3,67,67,159,89,89,89,90,3,51,3,3,51,51,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
51,67,3,67,3,67,67,67,3,3,67,19,67,3,19,35,19,35,35,35,51,35,51,67,51,35,35,3,67,67,67,67,67,3,35,67,35,51,67,67,51,35,51,67,67,35,35,35,51,3,3,35,67,51,67,35,35,19,19,67,67,19,67,35,35,3,3,35,35,51,35,67,51,35,51,35,67,67,67,35,67,67,67,67,3,67,3,67,3,51,35,35,3,35,35,3,67,51,67,122,123,89,89,89,146,3,51,3,51,67,35,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,67,67,3,51,67,51,67,19,3,19,43,44,3,3,35,19,67,19,51,3,3,35,35,35,35,3,35,3,67,3,3,35,35,51,51,35,51,3,51,3,51,3,51,3,35,3,51,51,35,35,19,19,3,19,3,67,67,35,19,35,51,67,3,51,3,51,67,35,3,35,35,3,3,3,67,67,3,67,67,35,51,3,35,35,3,35,3,67,51,35,67,3,67,3,3,88,89,89,89,89,162,51,3,3,3,3,35,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
51,3,51,67,3,3,67,51,3,35,51,67,19,3,51,67,51,19,35,19,35,3,3,35,3,51,35,35,51,35,43,44,35,59,60,3,67,67,3,3,3,51,35,3,67,19,67,19,3,51,3,35,67,51,3,35,67,35,35,35,51,51,35,3,3,3,3,67,51,51,67,35,51,3,3,67,35,51,51,67,67,59,60,67,67,35,67,35,67,35,51,67,35,67,3,51,67,67,67,88,89,89,89,57,106,3,3,51,3,3,35,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,51,3,3,51,3,3,3,19,51,3,51,35,59,60,19,67,35,35,35,35,3,3,3,35,3,3,35,35,3,3,67,35,67,43,44,67,3,3,35,35,51,35,35,19,67,3,51,35,35,51,51,3,3,19,19,67,67,67,35,19,67,35,67,3,35,67,51,3,3,67,35,3,3,3,67,3,3,67,67,43,44,67,67,35,3,67,67,51,3,3,51,51,3,67,67,3,67,67,159,89,89,89,162,3,3,3,35,67,35,35,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
67,67,51,3,3,51,51,51,67,51,3,67,19,67,3,67,3,35,67,19,67,3,19,35,67,3,3,59,60,35,67,3,67,67,67,67,35,67,35,35,19,67,3,51,35,3,35,35,35,19,35,35,67,19,67,35,35,3,35,35,35,51,35,67,3,35,67,3,3,67,35,19,35,3,67,3,67,35,35,67,59,60,3,3,67,3,51,3,3,3,51,35,67,3,67,35,3,3,67,88,89,89,89,90,3,51,35,51,19,19,19,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
67,3,3,67,67,3,3,67,19,51,35,51,35,51,19,67,35,35,3,19,67,35,51,3,19,43,44,19,35,35,59,60,35,35,19,35,35,43,44,51,35,51,51,35,35,3,35,67,67,3,51,19,67,67,67,35,35,35,35,35,67,35,3,67,67,35,3,35,35,3,3,19,67,35,67,3,35,67,3,59,60,35,3,67,35,35,3,67,51,67,51,3,67,67,67,35,67,67,122,123,145,89,89,162,3,51,51,19,3,35,35,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
51,3,67,67,3,51,67,67,3,3,67,67,67,3,67,3,3,3,51,51,35,67,67,67,3,51,67,35,51,43,44,3,67,35,3,43,44,59,60,35,35,67,35,3,19,3,67,35,19,35,35,19,67,67,3,51,51,35,19,19,35,67,51,35,67,35,35,67,3,3,3,3,19,35,3,67,3,67,35,35,67,67,35,67,3,51,35,3,35,67,51,3,67,67,67,35,67,67,159,89,89,89,89,90,3,3,3,51,19,51,51,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
872,873,67,51,51,3,3,51,3,3,3,3,35,3,3,3,3,3,3,67,51,3,67,3,3,67,3,3,67,3,3,67,3,3,51,67,51,51,67,3,67,67,3,19,67,19,3,35,35,51,19,51,19,67,19,35,35,35,67,67,35,67,35,19,35,67,51,3,67,67,3,3,35,67,67,67,67,3,3,67,67,59,60,67,3,35,35,3,67,35,67,3,67,51,35,67,67,122,123,89,89,89,89,90,3,3,35,3,35,3,35,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,69,70,71,3,3,3,3,3,3,
891,954,873,67,3,3,871,873,3,67,35,67,35,35,51,3,35,67,35,35,35,67,35,3,3,67,3,3,67,59,60,3,35,19,3,67,51,67,19,3,51,19,3,3,19,19,19,19,35,3,35,67,19,67,35,67,67,3,35,35,3,35,19,35,3,35,3,35,67,3,3,35,35,67,3,67,35,3,67,67,35,35,67,67,3,67,67,3,3,3,51,3,3,3,51,67,67,159,89,89,89,89,57,106,3,67,19,67,3,35,19,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,69,86,86,99,71,3,3,3,3,3,
903,891,954,873,67,871,907,889,3,3,3,67,67,51,51,3,3,3,67,67,35,35,3,871,872,873,67,3,67,3,3,67,67,67,35,19,35,67,43,44,51,51,19,35,35,3,67,35,67,19,51,67,3,67,3,35,67,3,35,35,35,35,19,3,3,51,35,67,35,3,67,35,35,3,67,3,67,3,3,67,51,19,67,67,35,35,67,3,67,67,51,51,51,67,35,67,122,123,89,89,89,89,162,3,35,3,67,35,19,67,35,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,69,86,100,86,86,86,87,3,3,3,3,3,
3,887,888,954,872,907,888,954,873,67,3,3,35,3,35,67,3,3,19,19,871,872,872,907,890,905,3,35,35,3,67,43,44,35,51,19,35,51,19,67,67,35,3,67,59,60,35,19,35,51,35,19,19,67,3,19,35,67,67,19,35,67,3,51,35,67,51,3,3,67,69,70,70,86,51,51,67,67,3,35,3,67,43,44,35,67,67,3,67,67,35,51,3,35,67,3,88,89,89,89,89,89,90,3,51,51,3,51,51,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,69,100,86,86,86,86,86,87,3,3,3,3,3,
871,907,888,888,888,890,904,891,954,873,51,3,67,35,51,35,67,3,3,67,903,891,888,890,905,3,3,67,67,59,60,51,35,19,51,19,59,60,19,59,60,35,67,67,19,35,67,19,51,3,51,67,3,67,3,51,19,19,19,3,35,35,19,3,3,3,51,3,3,67,84,86,86,83,67,3,51,3,3,67,35,67,67,35,3,3,67,67,3,35,67,3,51,67,67,67,159,89,89,89,89,89,162,3,3,51,35,51,3,35,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,69,100,86,86,86,83,102,84,87,3,3,3,3,3,
903,904,891,888,888,937,3,903,891,889,67,3,67,51,67,19,19,67,3,67,35,903,904,905,35,3,35,67,3,43,44,67,19,3,67,35,67,59,60,43,44,3,19,3,51,35,3,35,19,35,51,19,67,67,35,35,3,19,19,19,35,35,3,35,67,3,51,67,69,70,70,86,102,103,67,67,3,51,35,3,3,67,35,35,3,67,67,51,43,44,51,51,67,51,51,67,88,89,89,89,89,89,146,3,3,35,51,67,67,35,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,69,86,86,100,86,86,83,102,103,3,85,87,3,3,3,3,3,
3,3,903,891,890,905,67,51,903,905,67,3,35,67,3,3,67,19,3,67,35,35,35,19,3,67,3,3,3,67,19,67,3,3,19,19,43,44,35,67,67,3,3,35,3,67,19,51,19,35,19,3,67,19,35,67,35,3,67,67,35,67,67,67,3,35,67,67,84,86,86,83,67,67,3,3,3,3,35,3,51,67,19,67,35,67,67,3,35,35,35,3,3,67,3,67,88,89,89,89,89,89,90,3,35,51,35,19,35,67,19,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,85,86,86,86,86,83,103,3,3,69,100,99,70,71,3,3,3,
51,3,51,903,905,67,51,67,67,3,35,67,67,67,35,35,3,51,19,35,35,67,67,35,3,3,67,35,67,67,67,35,67,67,35,67,3,19,3,35,59,60,19,67,35,35,19,3,35,3,3,3,67,67,35,3,3,3,67,3,3,35,67,67,3,35,3,67,101,102,102,103,67,67,3,3,67,67,67,3,67,67,67,67,43,44,67,43,44,67,3,67,3,67,67,67,88,89,89,89,89,89,146,3,3,51,3,3,51,35,35,3,3,3,3,3,3,3,3,3,3,3,3,3,43,44,471,503,535,535,503,3,3,85,86,86,83,102,103,3,3,3,85,86,86,86,87,3,3,3,
35,3,67,35,3,3,19,3,3,3,35,19,67,35,19,67,35,67,19,3,19,35,19,871,872,873,35,51,35,67,3,3,3,35,35,19,51,67,51,3,51,35,3,35,35,35,35,3,19,3,3,67,3,67,3,51,3,67,3,67,3,3,3,67,67,51,67,3,67,51,51,67,3,67,51,67,3,3,3,51,51,67,3,67,67,67,67,3,67,3,3,67,3,3,67,67,137,89,89,89,89,89,90,3,3,67,35,19,3,19,35,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,43,44,471,503,503,3,3,85,83,102,103,3,3,3,3,3,85,86,86,86,99,71,3,3,
67,51,67,19,35,3,3,19,35,67,35,51,51,3,67,3,35,35,35,35,67,35,871,907,890,905,67,3,35,3,3,3,35,19,35,67,67,67,51,67,67,67,51,67,51,35,19,35,35,19,35,51,67,3,51,51,67,67,3,67,3,3,3,67,3,51,67,35,51,35,3,51,67,3,3,51,51,51,67,3,19,67,67,43,44,67,3,3,67,67,3,19,3,3,67,67,143,89,145,89,89,89,162,3,67,51,35,51,51,67,35,3,3,3,3,3,3,3,3,3,43,44,3,3,59,60,3,3,43,44,471,3,3,101,103,3,3,3,3,3,3,3,101,102,102,84,86,99,70,71,
51,3,35,67,19,3,35,35,19,3,3,19,35,3,19,67,67,67,51,35,19,871,907,890,905,35,3,51,35,51,19,51,35,19,35,67,35,51,67,67,19,35,67,35,51,35,3,35,35,3,19,67,3,51,35,3,35,35,3,67,35,35,35,3,35,3,67,35,67,3,35,51,35,35,67,67,35,51,35,35,19,19,67,3,3,19,67,19,19,3,35,3,3,67,35,122,40,89,89,89,89,89,146,3,35,67,3,35,51,51,35,3,3,3,3,3,3,3,3,3,3,3,3,43,44,43,44,3,3,43,44,3,3,3,3,3,3,3,3,3,3,3,3,3,3,85,86,86,86,87,
19,67,35,51,19,67,67,67,3,67,19,35,35,3,67,35,19,35,35,35,35,887,890,905,35,3,51,51,35,35,35,35,35,35,51,3,35,3,35,35,35,67,35,35,3,51,51,35,19,51,19,67,19,67,51,51,51,35,3,51,35,51,35,35,51,51,3,3,3,3,51,67,67,67,67,35,35,51,3,35,3,51,3,67,19,3,35,67,35,3,19,67,3,35,3,159,89,89,89,89,89,89,162,3,3,67,3,3,3,67,3,3,3,3,3,3,3,3,3,3,3,43,44,3,3,3,3,43,44,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,101,86,86,86,87,
67,35,35,35,3,35,67,51,67,35,3,51,3,3,19,67,67,19,19,19,35,903,905,67,67,51,3,19,51,3,67,19,19,43,44,67,35,35,67,51,67,19,35,35,51,35,67,3,35,51,3,19,19,51,3,35,35,3,67,67,51,67,67,3,35,35,51,51,3,35,3,67,67,51,19,35,19,51,67,67,51,35,51,51,35,35,19,35,35,19,19,67,51,35,3,159,89,89,89,89,89,89,90,3,3,3,3,35,3,51,67,3,3,3,3,3,3,3,3,3,3,3,3,3,3,43,44,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,101,86,86,87,
35,35,51,19,19,35,67,35,3,67,67,67,3,19,67,19,51,3,35,67,51,35,3,51,67,35,3,35,3,3,67,35,67,35,3,3,51,35,3,67,35,35,67,67,67,35,35,19,3,67,35,51,67,51,3,67,35,67,67,3,35,51,51,67,67,35,3,67,3,51,67,3,51,3,51,51,67,35,51,35,67,51,35,19,51,51,19,67,35,67,19,3,35,3,51,104,56,89,89,89,89,89,162,3,67,3,35,19,67,67,67,3,3,3,3,3,3,3,472,78,3,3,43,44,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,101,84,87,
67,35,3,35,19,35,19,35,19,67,51,3,51,51,19,67,35,19,3,35,19,51,19,19,35,67,3,3,76,77,78,35,67,3,3,67,67,67,51,43,44,67,51,67,35,35,67,3,35,3,3,19,3,67,3,3,3,35,35,67,67,35,67,3,3,51,51,67,35,67,51,35,35,51,3,3,35,19,19,3,35,67,67,67,35,3,35,35,67,35,35,35,67,3,67,67,159,89,89,89,89,89,90,3,35,67,3,51,67,3,19,3,3,3,3,43,44,3,92,61,78,3,43,44,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,85,87,
51,3,35,19,3,51,35,35,67,19,35,3,51,3,3,3,67,35,3,19,19,67,67,51,67,51,67,35,92,93,61,78,51,19,51,51,67,67,51,35,51,43,44,67,67,19,67,35,67,67,51,35,19,19,67,3,3,3,3,51,35,67,67,3,67,51,67,51,3,67,67,67,67,35,19,3,67,35,19,67,3,51,35,51,51,19,3,3,51,35,51,19,51,67,67,67,143,89,89,89,89,145,124,125,3,67,3,51,51,35,67,3,3,3,3,3,3,76,62,93,94,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,101,103,
35,51,35,67,67,35,67,3,35,67,3,3,19,67,3,51,3,67,19,19,3,3,3,51,51,19,67,3,91,93,93,107,67,43,44,3,19,3,35,3,3,19,67,35,19,43,44,67,35,19,67,35,3,19,19,35,67,19,3,19,3,35,3,35,35,35,3,51,19,3,35,67,67,3,51,35,3,19,67,67,67,35,35,3,3,35,19,67,51,3,67,35,67,67,51,67,88,89,89,89,89,89,89,146,3,67,67,51,67,3,35,3,51,76,78,19,3,108,109,505,110,43,44,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
35,67,67,35,35,35,35,35,35,67,35,67,3,19,51,3,19,35,3,3,67,19,67,3,35,19,67,67,108,109,109,110,3,19,3,51,35,35,51,51,67,35,35,35,67,35,51,67,51,3,3,3,35,3,51,35,51,3,35,3,51,67,67,19,67,19,3,67,3,51,35,3,35,3,19,51,19,3,3,3,51,67,35,35,51,67,51,35,67,67,19,35,3,51,35,67,159,89,89,89,89,89,89,90,3,3,3,67,67,3,51,3,3,92,107,19,3,3,3,3,3,3,43,44,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
67,67,3,35,3,35,35,3,67,19,19,3,67,67,67,67,35,3,67,19,3,19,51,3,19,3,67,35,67,67,67,19,3,19,51,3,67,51,51,3,3,3,3,3,3,51,51,67,35,3,3,35,67,67,67,35,51,19,35,67,35,67,35,67,35,3,19,51,3,19,51,67,67,3,67,19,3,3,19,35,3,67,67,67,35,3,67,3,3,51,19,3,3,67,3,67,104,56,492,89,89,89,89,162,3,3,3,3,3,51,3,51,51,91,94,43,44,3,43,44,3,43,44,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,69,
35,67,35,35,35,35,3,35,3,871,872,873,67,67,35,3,35,35,19,67,19,35,67,19,19,35,35,67,3,35,67,35,51,35,67,3,67,35,51,35,3,67,3,3,67,67,51,51,67,51,35,35,19,51,3,3,67,67,3,67,35,19,35,67,67,19,3,67,35,3,35,3,35,19,19,35,35,67,3,51,35,51,51,35,51,19,3,3,67,67,3,35,67,3,76,78,76,588,89,492,89,89,89,146,3,51,3,67,51,67,3,3,3,108,110,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,69,70,100,
19,19,19,35,51,35,3,35,35,903,891,906,873,51,19,51,35,67,35,35,19,35,35,3,51,51,19,3,67,3,51,67,51,35,51,67,35,51,35,67,35,67,3,67,3,51,3,3,67,3,19,19,35,19,35,67,51,67,19,51,3,51,35,51,35,51,51,35,19,3,51,3,35,19,3,51,35,51,3,3,67,67,35,51,35,3,3,3,67,35,35,19,3,3,92,61,62,507,508,525,89,89,89,41,155,202,35,67,3,3,67,43,44,3,3,3,3,43,44,19,51,43,44,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,69,100,86,86,
3,871,873,19,19,35,19,35,35,19,903,891,906,873,35,19,19,51,19,35,35,3,35,35,3,35,3,67,19,35,3,51,67,67,67,67,35,35,67,35,35,3,67,35,43,44,3,35,3,35,67,51,19,3,3,51,67,67,3,3,3,67,3,19,67,3,67,51,3,51,3,3,67,67,67,35,67,35,35,51,67,19,19,19,67,3,35,19,3,51,51,35,3,3,92,93,93,93,93,491,89,89,89,89,41,130,59,60,3,35,51,3,3,3,69,71,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,69,70,100,86,86,86,
35,887,954,873,3,19,3,19,67,35,3,903,904,905,3,67,67,3,19,67,19,19,19,19,51,35,35,35,19,35,51,35,35,67,35,3,3,3,51,35,3,51,35,67,3,67,67,3,67,3,3,51,3,35,3,35,67,35,51,35,67,3,3,67,19,35,3,19,19,19,3,67,51,35,67,67,3,3,19,35,3,67,67,3,3,67,3,19,35,3,51,35,51,67,108,46,93,93,93,88,89,89,89,89,569,146,19,51,3,67,51,43,44,51,85,86,71,3,3,3,3,43,44,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,85,86,86,86,86,86,
19,903,891,954,873,19,67,67,35,19,43,44,35,19,3,51,35,67,19,19,3,19,35,35,3,3,3,3,67,3,35,67,67,51,35,35,3,3,51,35,3,51,51,51,51,67,67,3,3,67,3,67,35,51,19,3,51,19,19,43,44,19,67,3,19,67,35,51,51,19,51,67,67,3,19,19,3,19,35,67,51,51,51,51,19,67,3,35,67,35,3,67,3,3,3,108,46,93,45,88,89,161,89,89,569,162,43,44,3,43,44,3,3,35,85,86,87,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,69,100,86,86,83,102,102,
3,19,887,890,905,35,67,67,3,35,3,35,3,3,19,3,35,3,3,19,19,3,35,3,19,51,51,3,3,19,19,67,67,67,67,67,67,35,3,67,51,3,35,51,35,51,51,35,67,43,44,35,35,35,3,3,35,43,44,19,35,35,3,51,35,51,19,35,3,19,3,51,67,67,51,67,19,35,67,35,67,19,3,3,19,19,19,35,67,67,51,3,3,3,67,3,108,109,110,568,89,89,89,89,89,124,74,3,3,3,3,3,3,3,101,102,103,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,43,44,85,86,83,102,103,3,3,
35,35,903,905,3,35,19,67,67,35,35,35,35,3,35,3,3,35,19,35,19,51,19,3,35,67,3,19,67,51,3,35,51,19,3,51,51,3,51,51,35,67,67,35,67,35,3,51,19,35,35,35,3,3,35,35,51,35,51,51,19,51,35,3,19,67,35,35,67,67,51,3,51,3,35,3,3,3,19,67,35,19,67,3,35,3,35,67,35,19,35,3,67,35,51,3,3,67,3,104,139,89,89,89,89,89,41,125,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,85,86,86,3,3,3,3,
3,3,3,35,19,35,35,35,35,3,35,3,67,3,67,35,35,35,67,35,67,51,35,51,51,67,51,51,35,19,3,35,35,19,3,51,67,3,3,67,35,3,35,35,67,3,67,67,35,35,35,35,19,3,35,19,3,35,35,19,67,35,3,35,35,19,51,67,3,3,51,3,3,19,67,19,3,67,3,3,51,35,67,19,19,67,67,51,67,67,35,67,67,67,67,3,19,19,3,19,138,56,89,89,89,89,89,124,74,3,59,60,3,3,59,60,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,69,100,86,87,3,3,3,3,
51,19,19,19,67,35,3,51,51,35,19,67,67,67,3,35,19,67,35,19,19,51,19,67,19,3,3,3,19,67,19,67,3,67,3,51,3,35,67,35,51,35,67,35,67,51,35,3,3,35,51,51,51,67,51,51,35,43,44,35,51,19,67,35,35,51,19,19,35,51,3,3,67,19,35,35,19,67,19,3,19,67,35,35,67,67,51,19,35,35,19,3,35,35,19,67,3,19,19,19,67,137,89,89,89,89,89,89,124,125,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,101,84,86,87,43,44,3,3,
35,19,35,3,67,3,3,19,67,35,871,873,3,3,51,3,19,67,67,35,3,3,3,51,35,35,3,3,67,67,3,3,51,19,3,3,3,3,51,67,181,182,183,184,185,67,67,67,51,3,3,67,35,35,67,35,19,67,35,3,35,51,35,35,35,35,67,3,3,19,67,67,3,19,3,35,35,67,67,67,3,19,19,19,19,3,3,35,19,19,3,19,51,35,19,67,19,19,3,3,3,138,139,89,89,57,574,525,89,124,125,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,85,86,99,70,71,3,3,
35,19,51,19,51,3,3,51,3,871,907,889,35,67,67,35,3,19,35,67,35,35,67,35,871,873,67,19,19,67,3,3,19,67,3,3,51,3,67,196,197,198,231,200,201,202,67,3,19,51,3,51,35,3,3,51,67,19,19,67,67,3,67,35,3,67,43,44,67,3,67,67,67,3,67,67,3,3,3,35,3,19,19,3,51,3,3,51,35,3,35,19,51,67,35,67,19,19,3,3,51,3,138,56,89,41,590,541,89,89,41,128,74,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,85,86,86,86,99,71,43,
67,35,35,51,67,67,51,871,872,907,890,905,3,67,35,19,19,19,3,19,3,3,35,3,887,954,873,19,3,3,3,3,3,19,67,3,3,67,67,212,213,214,247,216,217,218,67,3,67,67,3,67,67,3,19,19,67,19,35,19,67,19,35,19,19,35,35,67,19,3,67,35,67,35,67,35,3,67,3,35,67,35,3,3,67,19,67,67,19,19,67,67,51,3,3,51,67,3,35,35,3,35,19,159,89,89,89,145,89,145,145,89,41,74,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,101,84,86,86,86,99,70,
67,35,67,67,3,51,51,903,891,890,905,3,67,51,3,67,3,35,51,35,3,3,35,35,903,891,906,873,3,67,19,51,19,3,3,67,3,3,67,228,229,67,67,67,233,234,185,35,3,67,19,3,3,35,35,67,35,19,19,67,19,35,51,35,51,19,35,67,35,19,19,35,51,3,3,19,67,35,3,3,35,35,19,19,3,67,3,67,19,67,19,3,3,3,3,51,67,19,19,19,3,3,3,104,56,89,89,145,89,145,145,145,89,41,73,128,74,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,43,44,85,86,83,102,84,86,
873,3,3,51,67,67,51,67,903,905,67,67,67,67,67,67,67,67,19,3,67,67,51,51,19,903,904,905,3,3,3,3,19,3,67,3,67,3,203,244,67,3,3,3,67,250,201,67,67,67,3,51,51,35,19,67,3,67,35,19,59,60,19,19,35,35,35,35,3,3,35,19,3,51,3,51,3,3,35,3,35,35,35,3,35,19,51,3,51,3,19,3,19,3,67,3,3,35,76,78,19,19,3,35,143,89,89,89,145,145,145,89,89,89,89,89,41,128,125,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,85,86,87,3,84,86,
954,873,67,67,67,51,3,3,3,51,35,35,35,67,19,3,35,67,35,35,67,3,3,35,67,3,19,19,3,3,3,67,67,67,67,67,67,67,199,67,3,3,67,67,67,67,244,67,3,35,19,19,67,19,35,19,67,35,3,51,67,19,19,67,3,19,3,3,19,19,35,19,3,51,3,3,3,19,3,51,35,35,19,19,19,51,51,19,3,3,35,35,51,3,51,3,19,35,92,94,35,19,19,19,104,56,89,89,145,145,89,145,145,89,145,89,89,89,124,128,74,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,69,100,86,87,3,101,102,
891,954,873,67,67,19,3,67,67,3,67,3,3,35,67,43,44,67,67,3,3,35,19,3,19,67,3,3,67,3,19,19,67,67,67,67,67,67,228,229,67,3,67,67,3,3,67,3,67,3,19,35,67,19,19,19,51,3,67,19,67,35,3,35,67,19,19,3,19,35,35,19,67,35,3,3,3,67,35,35,3,19,3,3,67,19,19,67,19,51,35,3,35,19,3,3,51,35,19,19,67,51,67,19,19,137,89,89,89,89,145,145,145,145,89,89,89,89,89,89,41,125,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,85,86,86,87,3,3,3,
951,952,953,3,51,19,67,35,3,3,67,19,35,35,67,19,3,3,67,35,67,35,19,19,19,19,67,3,19,3,67,51,3,19,51,67,67,3,67,3,3,67,67,3,3,3,51,67,19,19,67,35,35,51,67,35,67,67,51,19,35,67,3,3,35,51,3,35,3,3,67,67,51,67,3,19,3,19,35,3,51,19,35,67,3,35,19,19,19,19,3,3,67,35,3,51,3,67,35,19,35,19,67,3,19,138,139,89,89,89,89,89,89,89,89,89,89,89,89,89,89,124,125,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,69,100,86,83,103,3,3,3,
19,3,67,35,67,51,3,3,3,3,19,35,3,67,19,67,19,67,35,67,3,19,19,3,35,35,35,67,19,3,35,51,19,19,35,35,67,3,35,19,67,19,35,67,3,19,3,51,67,51,19,19,19,67,3,19,35,19,3,35,35,3,35,35,35,35,51,35,3,3,19,3,3,51,67,3,51,35,67,3,35,19,3,67,3,35,35,35,67,19,35,35,67,19,51,19,35,76,77,78,35,3,3,471,3,3,138,139,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,128,129,73,125,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,85,86,83,103,3,3,3,3,
35,51,67,35,51,19,67,35,67,3,35,19,67,67,3,51,3,3,35,35,51,35,51,19,35,35,19,3,3,67,67,51,35,3,35,67,3,19,67,67,67,67,51,51,3,67,51,67,19,35,67,19,19,51,51,67,19,19,51,3,51,35,67,51,3,35,19,67,3,35,35,67,35,35,3,3,19,3,67,3,51,3,19,35,19,3,19,51,19,67,19,3,3,3,67,19,3,108,109,110,35,35,35,3,3,3,3,138,139,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,124,129,128,129,74,3,3,3,3,3,3,3,3,3,3,3,85,83,103,3,3,3,3,3,
67,3,35,19,51,3,3,3,51,19,35,67,3,35,51,35,35,67,19,35,3,3,35,19,35,19,19,19,19,67,35,35,19,19,3,51,3,51,51,35,35,35,3,19,35,3,67,3,35,35,35,19,19,35,19,51,35,51,67,67,35,19,67,35,35,35,35,35,67,35,67,3,67,67,67,51,35,3,51,3,3,19,67,19,3,35,3,35,35,35,35,35,35,19,3,3,35,77,67,35,35,51,35,3,35,3,35,3,138,139,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,41,73,128,129,73,125,3,3,3,3,3,3,101,103,3,3,3,3,3,3,
3,35,3,51,67,3,67,67,3,51,19,3,19,3,19,35,67,67,3,3,51,19,19,19,35,19,19,35,19,3,35,35,3,19,19,67,67,3,67,19,51,3,3,67,35,3,3,19,51,3,3,51,67,67,51,35,19,19,35,67,35,35,35,35,3,35,3,19,35,35,3,35,67,51,35,35,35,19,3,3,3,3,51,67,19,3,35,51,51,3,51,19,3,35,35,35,35,35,35,3,35,35,35,3,3,35,3,3,3,138,139,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,41,128,74,3,3,3,3,3,3,3,3,3,3,3,3,
3,67,67,67,35,51,3,51,67,3,19,3,3,35,3,3,67,3,35,51,35,3,19,19,19,51,3,19,3,19,67,67,19,67,35,19,51,19,35,19,19,35,67,67,19,19,19,35,3,19,19,51,51,67,35,35,67,67,19,3,67,67,19,51,51,35,35,3,19,51,51,19,3,3,67,3,67,19,35,3,3,35,19,3,35,67,3,51,67,67,19,35,35,19,67,35,35,3,19,35,35,67,67,67,67,67,67,67,3,3,138,56,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,124,125,3,3,3,3,3,3,3,3,3,3,3,
35,19,3,35,19,67,19,3,67,3,19,67,35,35,35,35,51,35,67,51,19,19,19,67,67,19,3,3,19,51,67,51,3,51,67,3,3,67,51,51,67,51,3,67,51,51,67,51,35,35,3,19,19,67,67,67,35,67,67,19,67,67,35,67,51,35,51,3,59,60,3,19,51,51,3,35,51,3,19,19,3,35,3,3,19,51,3,3,35,67,51,35,67,67,51,35,67,35,3,3,67,51,35,67,67,67,67,3,67,3,3,104,56,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,146,3,3,3,3,3,3,3,3,3,3,3,
67,67,871,872,873,3,3,51,3,51,67,67,67,35,67,3,19,35,35,51,19,19,3,35,19,35,19,19,19,35,35,3,67,67,19,67,35,35,19,51,51,3,51,3,51,35,3,3,19,3,51,19,19,35,3,3,51,67,35,3,51,19,3,35,19,3,35,3,67,35,35,35,19,19,51,35,35,35,3,35,51,19,51,3,67,19,3,67,35,3,67,35,35,19,35,35,51,3,51,35,3,3,471,3,3,3,67,3,3,67,3,3,137,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,41,74,3,3,3,3,3,3,3,3,3,3,
873,67,887,890,905,3,67,3,67,19,67,67,35,19,19,19,3,19,19,3,19,3,3,51,67,3,67,67,35,19,3,19,35,35,51,67,19,3,3,67,35,35,3,67,3,51,67,19,19,19,51,35,51,67,67,35,67,3,67,35,35,51,67,3,51,35,67,19,67,19,51,35,67,3,67,35,67,3,35,3,51,35,19,3,19,35,35,51,51,3,67,35,35,35,19,35,3,3,35,35,35,35,67,67,67,471,3,35,3,3,3,3,138,56,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,146,3,3,3,3,3,3,3,3,3,3,
954,872,907,889,67,3,3,3,51,51,19,19,35,3,3,43,44,3,3,67,35,67,35,51,3,3,67,67,3,67,35,67,3,67,51,19,3,3,19,35,3,3,3,3,3,51,51,35,67,3,67,51,67,67,69,70,70,70,70,70,70,70,71,51,3,67,67,19,3,35,51,3,51,35,67,3,51,3,19,19,67,3,471,19,19,3,3,3,35,35,19,35,67,3,35,35,19,35,3,19,67,3,35,35,3,67,67,67,3,67,51,51,51,137,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,41,125,3,3,3,3,3,3,3,3,3,
891,888,888,954,872,873,3,3,67,67,67,19,51,51,19,51,19,19,67,35,35,51,35,67,3,67,35,35,67,67,35,67,3,35,67,3,19,67,51,67,3,3,3,35,35,67,35,3,51,67,67,67,67,69,86,86,86,86,86,86,86,86,87,67,67,3,35,35,51,35,67,51,35,3,51,3,35,35,35,67,3,3,35,19,35,19,3,76,77,78,35,19,35,67,3,35,35,35,35,51,51,67,35,35,67,3,471,67,51,3,51,51,51,175,139,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,145,89,124,125,3,3,3,3,3,3,3,3,
903,891,888,890,904,905,19,3,51,67,3,3,19,35,3,3,3,51,3,51,3,19,51,51,3,35,3,67,51,67,3,35,51,67,19,3,19,3,3,19,3,67,19,3,51,3,19,35,19,3,51,19,67,85,86,86,86,86,86,86,86,86,83,67,67,3,51,67,67,19,3,3,67,67,3,19,67,67,35,19,3,3,3,35,19,19,3,108,109,110,3,3,35,67,35,51,35,35,19,19,3,3,35,67,67,67,67,3,19,51,3,35,51,51,175,139,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,145,145,89,41,125,3,3,3,3,3,3,3,
3,903,904,905,19,51,67,3,67,67,67,3,19,35,35,3,19,35,67,67,19,67,19,19,19,3,51,19,35,35,35,35,67,3,3,35,35,67,35,51,35,19,35,19,3,67,35,67,35,67,3,3,69,86,86,86,86,86,86,86,86,83,103,3,67,35,51,35,67,67,35,35,67,3,3,3,67,19,67,3,35,3,35,3,3,3,19,51,19,67,35,35,67,35,51,3,35,35,3,35,3,35,35,35,35,67,67,67,67,35,51,51,51,51,51,175,56,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,161,89,124,125,3,3,3,3,3,3,
35,3,3,67,19,51,19,67,51,19,3,51,51,3,3,51,51,3,67,3,3,19,51,67,19,67,67,19,67,35,3,19,51,3,19,67,67,67,3,67,35,35,19,3,51,35,3,67,67,35,51,67,85,86,87,102,86,86,86,83,102,103,3,3,3,3,3,67,67,67,3,67,51,67,35,35,67,19,3,67,51,51,19,19,67,19,35,35,3,35,35,3,19,35,3,35,35,3,51,35,35,19,3,3,67,67,3,51,35,19,51,35,35,35,51,51,104,139,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,145,89,145,89,124,128,74,3,3,3,3,
35,67,67,51,67,67,67,3,3,3,67,67,3,35,35,19,35,51,35,35,67,3,67,67,19,19,67,19,35,35,3,19,51,3,35,51,67,3,35,67,35,19,67,3,51,3,19,67,35,35,3,3,85,86,86,71,101,102,102,103,67,3,67,51,35,3,3,35,19,35,67,35,19,3,19,19,19,19,3,51,35,67,35,19,67,51,3,35,3,67,67,35,35,3,19,35,67,51,19,51,35,19,67,3,67,67,67,67,51,67,35,35,35,51,35,35,51,138,139,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,145,145,89,89,41,128,129,73,128,
19,3,19,67,19,35,67,3,67,67,3,19,3,35,67,19,3,67,67,3,3,35,19,19,19,19,35,35,19,3,19,35,67,67,51,19,19,67,35,51,3,3,67,19,35,35,35,3,51,35,3,67,84,86,86,87,67,3,3,67,3,3,3,67,3,3,3,67,3,3,67,3,67,67,67,19,19,19,3,67,3,67,19,35,19,3,51,35,35,35,3,3,3,19,3,51,67,3,35,19,19,67,35,67,67,35,67,67,67,51,35,51,51,51,51,51,51,51,138,139,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,140,176,177,56,161,89,89,145,145,145,89,145,
67,3,67,35,35,35,19,3,19,19,59,60,3,35,19,35,3,67,3,3,19,3,67,19,35,19,35,67,51,19,35,3,19,35,67,67,51,35,19,67,67,51,35,51,3,67,3,3,51,51,3,51,101,102,67,103,67,67,51,67,67,67,51,67,67,3,3,3,67,67,3,3,3,3,67,19,19,19,67,3,3,3,19,67,3,19,3,3,19,35,35,3,67,3,35,35,35,3,35,51,35,35,67,35,3,67,67,67,67,19,51,51,51,51,35,51,51,51,51,138,139,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,57,141,3,3,104,176,139,89,89,89,89,89,89,
3,67,35,67,3,35,3,3,19,43,44,19,3,35,19,19,35,51,43,44,3,67,67,19,3,19,19,3,19,35,19,19,19,19,3,51,51,35,3,67,35,35,19,35,3,35,19,3,67,19,19,67,67,67,67,3,19,3,3,19,19,67,3,3,67,51,67,3,3,67,67,3,51,51,3,3,67,43,44,35,67,35,3,67,51,67,19,35,51,3,19,51,3,35,3,35,51,35,3,67,35,35,35,3,35,67,35,67,67,67,51,35,51,51,3,51,3,51,51,35,138,139,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,146,51,51,3,3,3,138,177,176,56,161,89,89,
3,19,3,51,3,3,19,51,51,67,3,67,67,67,19,3,67,51,35,35,35,19,19,35,19,35,19,19,67,3,35,3,19,35,19,19,35,19,19,19,51,35,19,35,35,51,67,3,19,67,67,3,35,3,19,67,67,3,67,19,3,3,51,67,67,3,3,3,51,3,67,67,51,3,3,3,67,3,3,35,35,67,3,51,67,51,3,3,35,35,35,35,35,35,35,35,3,35,35,3,35,35,35,19,35,19,35,67,67,67,51,51,51,51,51,51,51,51,51,51,51,138,56,89,89,89,89,89,89,89,89,89,89,89,89,89,89,41,125,67,3,3,3,3,3,3,104,105,176,177,
67,51,35,51,51,35,19,19,59,60,3,19,43,44,3,51,51,67,3,67,19,3,35,35,35,51,67,3,3,67,19,19,35,19,35,35,35,19,35,35,3,3,67,35,19,67,35,35,51,35,19,19,35,3,67,67,19,51,19,51,3,19,67,3,3,3,3,3,67,3,51,3,67,67,67,67,3,3,3,35,67,51,35,3,3,3,3,67,35,35,67,51,51,35,3,3,35,19,35,19,35,35,51,35,19,67,35,3,35,51,51,67,51,51,51,35,51,51,3,51,51,19,159,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,124,73,126,3,3,3,3,3,3,3,3,3,
19,51,3,67,35,35,67,51,3,43,44,3,3,3,19,19,59,60,35,35,19,19,67,3,35,35,67,19,67,51,67,35,3,67,35,19,35,35,35,19,19,19,67,51,3,19,35,35,67,19,19,3,51,19,67,19,3,3,35,51,3,3,35,3,3,3,3,67,35,51,3,67,67,67,3,67,67,3,67,67,67,3,19,3,3,67,51,3,19,35,3,35,19,3,35,35,35,19,35,35,35,35,35,35,51,35,19,51,51,51,51,51,51,51,51,51,51,51,51,51,3,51,137,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,146,3,3,3,3,3,3,3,3,3,
19,51,35,67,67,67,51,19,19,51,3,67,19,35,35,19,35,3,19,35,35,35,67,35,51,3,35,67,35,35,51,35,3,3,3,3,3,67,3,51,3,35,35,3,3,67,19,3,67,67,3,3,35,67,51,35,19,19,51,19,3,51,3,3,67,3,67,67,67,67,67,3,67,67,51,67,3,3,67,35,67,3,19,19,51,35,3,51,51,19,35,51,67,67,3,35,35,19,51,19,19,35,67,3,51,51,51,35,51,51,19,51,51,51,51,3,51,51,51,51,35,35,138,177,176,56,89,89,89,89,89,89,89,89,89,89,89,89,89,89,41,74,3,3,3,3,3,3,3,3,
51,67,59,60,35,3,3,3,3,19,67,19,67,67,35,35,3,35,67,19,67,35,19,51,51,3,3,35,35,51,51,19,51,51,3,35,3,19,19,35,67,3,3,51,67,19,19,3,19,67,19,35,3,3,19,35,3,67,19,51,51,3,19,67,51,3,3,35,67,67,3,3,51,3,3,67,67,67,67,3,3,3,3,3,35,35,35,35,3,51,35,35,67,35,19,35,35,35,51,3,19,35,67,35,35,3,35,35,51,51,51,51,51,51,51,3,35,51,35,35,35,35,67,35,19,137,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,41,125,67,3,3,3,3,3,3,
51,51,35,3,67,19,3,51,3,51,3,67,19,67,3,3,3,19,67,67,3,67,67,19,35,67,67,35,51,19,19,19,19,19,19,67,19,35,51,3,3,3,3,3,35,19,3,51,35,67,3,3,3,35,67,51,35,35,67,67,35,67,3,67,3,3,3,51,51,35,67,67,3,67,67,3,35,67,67,35,3,35,19,3,3,19,35,19,3,35,67,19,19,67,19,51,3,35,67,19,19,35,35,3,19,35,19,67,51,51,51,51,51,51,51,3,67,51,35,51,35,35,35,35,35,175,56,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,124,125,67,3,3,3,3,3,
3,19,35,67,3,3,3,67,3,67,51,19,35,3,67,19,3,3,67,19,35,3,67,3,67,19,51,19,19,19,51,51,51,35,19,67,3,67,67,35,67,67,35,35,67,35,67,51,19,67,19,3,3,35,35,3,35,35,35,51,3,19,19,3,19,35,3,3,67,67,67,67,3,43,44,3,3,67,3,35,35,35,35,35,3,19,67,3,3,51,3,19,3,19,35,67,19,35,3,51,35,35,67,35,3,3,19,3,3,35,51,51,51,51,51,19,19,67,35,67,51,51,35,51,35,67,88,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,124,126,3,3,3,3,3,
19,3,19,43,44,51,19,3,19,51,67,67,35,19,3,67,35,67,3,67,51,67,51,19,35,19,19,3,19,67,35,35,19,35,67,19,3,35,51,19,35,51,3,35,3,67,19,3,35,3,3,3,35,19,19,19,19,67,51,67,3,19,51,3,3,3,51,67,3,35,67,3,67,3,67,3,67,3,67,3,67,67,19,51,3,19,35,51,19,35,51,35,35,35,67,51,35,35,51,19,35,19,3,51,67,35,3,35,51,35,35,35,35,35,19,19,19,67,35,51,35,35,67,51,51,72,40,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,124,74,3,3,3,3,
19,19,67,3,3,19,3,19,51,51,3,19,51,3,35,3,67,67,67,51,51,19,3,67,35,19,35,51,51,51,35,67,3,3,19,3,3,19,51,3,3,67,67,35,67,67,19,3,19,3,35,35,35,19,19,35,3,19,3,19,3,67,3,19,67,3,35,35,3,35,67,3,3,67,67,67,67,67,67,35,67,3,19,3,67,3,67,19,67,19,35,35,51,3,19,19,51,35,67,51,19,35,51,35,3,19,35,51,3,35,35,35,35,35,51,19,19,35,35,51,51,51,19,51,19,104,176,139,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,162,3,3,3,3,
51,51,35,19,19,19,3,19,3,3,19,3,35,19,3,35,3,3,19,3,19,67,19,35,35,67,51,51,35,19,19,19,67,67,51,19,51,35,19,3,3,35,67,3,35,67,67,51,3,67,3,471,3,19,3,3,19,35,3,19,67,3,19,3,19,3,67,67,51,51,67,67,3,67,3,67,35,67,67,3,51,3,67,19,35,19,19,19,51,35,35,19,19,19,35,35,19,19,67,19,35,35,35,35,35,35,67,3,3,35,35,35,35,51,35,19,19,35,51,51,35,35,19,51,19,51,19,175,56,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,146,3,3,3,3,
67,51,51,67,67,19,67,19,19,3,51,19,19,51,67,67,67,3,19,19,35,51,3,51,67,35,67,51,19,67,19,67,19,19,3,67,35,3,19,3,35,35,19,19,3,3,3,35,19,51,3,19,3,51,3,19,35,35,19,35,35,19,51,67,3,3,51,51,67,67,3,3,67,3,67,67,51,67,67,3,3,51,51,19,19,3,51,35,3,51,3,3,51,19,3,67,51,3,35,51,67,51,51,35,67,35,51,67,51,35,19,35,35,35,19,35,19,51,35,51,51,19,35,51,51,51,67,51,88,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,41,74,3,3,3,
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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,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,2,0,2,2,0,0,0,0,2,2,2,2,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,2,2,2,0,0,0,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,0,2,2,0,0,0,0,2,2,0,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,2,2,0,2,0,2,0,2,2,2,0,0,0,0,0,2,2,0,0,0,2,2,0,2,2,0,0,2,2,0,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,0,2,2,0,0,0,0,2,2,2,2,0,2,2,0,0,0,0,0,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,0,0,2,2,0,0,0,2,0,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,2,2,2,2,0,0,2,2,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,0,0,0,2,2,0,0,0,0,0,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,0,0,2,2,0,0,0,0,2,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,2,2,0,0,2,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,2,2,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,2,2,0,0,0,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,0,2,2,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,2,2,0,0,0,0,0,2,2,0,0,2,2,0,0,0,0,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,2,2,0,2,0,0,2,2,2,2,2,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,2,0,2,2,2,0,0,0,2,0,0,0,2,0,0,2,0,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,2,2,0,0,0,0,0,0,0,0,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,2,0,0,0,0,2,0,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,0,0,2,2,0,2,2,0,0,0,0,2,2,2,0,0,0,0,0,2,2,2,0,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,0,2,2,0,2,0,0,0,2,2,2,2,0,0,0,0,0,2,2,0,2,2,0,0,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,0,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,0,0,0,2,2,2,0,0,0,0,0,2,2,0,0,0,0,0,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,2,2,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,0,2,2,0,0,2,0,0,0,2,2,0,0,0,2,2,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,0,0,0,2,0,0,0,0,0,2,2,0,2,2,0,0,0,0,0,0,2,2,0,0,0,0,2,2,2,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,0,0,2,0,0,0,0,2,2,0,0,2,2,0,0,0,0,0,2,2,0,0,2,2,0,2,2,0,0,0,0,0,0,0,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,0,0,2,2,2,0,0,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,2,2,0,0,2,0,0,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,0,0,0,0,0,2,2,2,2,2,0,2,0,0,0,0,0,0,0,2,2,0,0,0,2,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,2,2,0,0,0,0,2,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,2,0,0,0,2,2,0,0,0,0,2,0,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,2,2,0,2,2,0,2,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,2,2,0,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,0,0,0,2,0,0,0,2,2,0,0,2,2,0,0,0,0,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,0,0,0,2,2,0,2,2,0,0,0,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,0,2,2,0,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,0,2,2,0,0,0,0,0,2,0,0,0,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,0,0,2,2,2,2,2,0,0,2,2,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,2,2,0,0,2,0,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,2,2,2,0,0,0,0,2,2,0,0,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,2,0,2,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,2,0,0,2,2,0,0,0,0,0,0,0,2,0,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,0,0,2,0,2,2,0,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,0,2,2,0,0,0,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,0,0,0,0,0,2,0,0,0,0,2,2,0,0,2,2,0,2,2,0,2,2,0,0,2,2,0,0,0,0,0,2,0,2,2,2,2,0,0,2,2,2,0,0,0,2,0,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,0,2,0,0,0,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,2,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,0,0,0,0,2,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,0,2,2,0,0,0,2,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,2,0,2,2,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,2,0,0,0,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,2,2,0,0,0,0,2,0,0,0,0,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,0,0,0,0,2,0,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,0,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,2,0,0,0,2,2,0,2,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,0,0,0,0,2,0,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,0,0,2,0,0,0,2,0,0,2,2,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,2,0,2,2,2,2,2,0,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,2,2,0,0,0,0,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,2,2,0,2,2,0,0,2,2,2,2,0,0,0,2,0,2,2,0,0,0,2,0,0,0,2,2,0,0,0,0,0,0,2,2,0,0,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,2,0,2,0,2,2,0,0,0,2,0,0,2,2,2,0,0,0,0,0,2,2,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,0,0,2,2,2,0,2,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,2,0,2,0,0,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,0,0,0,2,0,0,0,2,2,2,0,0,2,2,2,2,2,0,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,2,0,0,2,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,2,0,0,2,2,0,0,0,0,0,0,0,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,0,0,0,2,0,0,2,0,0,0,0,0,0,0,2,2,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,0,0,2,0,0,0,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,2,0,0,2,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,0,0,0,2,2,0,2,0,2,2,0,0,0,0,0,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,2,2,0,0,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,0,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,0,2,0,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,2,0,0,0,0,0,2,2,2,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,2,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,0,0,0,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,0,0,0,2,2,0,0,2,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,2,2,0,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
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,
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