100,100,100,100,101,10,10,108,110,10,58,10,10,76,78,10,76,78,95,97,10,10,10,10,10,10,10,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,423,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,10,526,526,527,528,540,529,529,530,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,42,10,10,10,10,10,10,10,10,10,10,10,10,10,145,63,96,96,96,96,96,96,96,96,
100,100,100,100,101,10,10,10,10,10,10,10,10,92,94,10,108,110,95,97,10,10,10,10,10,10,10,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,439,440,440,440,440,440,440,440,440,440,440,440,440,441,10,10,10,10,10,526,526,527,528,540,529,529,530,10,10,10,10,10,10,10,10,10,10,10,10,42,10,10,10,10,10,42,10,10,10,10,10,10,10,10,10,10,10,95,96,96,96,96,96,96,96,96,
100,100,100,100,101,10,10,10,10,10,10,10,10,108,110,10,10,10,95,97,10,10,10,10,10,10,10,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,83,84,84,85,10,542,542,543,544,556,546,546,545,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,95,96,96,96,96,96,96,96,96,
100,100,100,100,101,10,10,10,10,10,10,10,10,10,10,10,74,129,47,149,10,10,10,10,10,10,10,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,99,100,100,101,573,578,578,575,576,572,578,578,578,10,10,10,10,10,10,10,10,10,42,10,58,58,74,74,42,74,10,42,10,58,58,10,10,10,10,10,10,10,128,47,96,96,96,96,96,96,96,96,
100,100,100,100,101,10,10,10,10,10,76,78,10,10,10,10,129,130,147,148,10,10,10,10,10,10,10,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,341,342,342,342,342,342,342,342,342,342,342,342,342,343,99,100,100,68,84,84,84,84,84,82,84,84,85,10,10,10,10,10,10,10,10,10,42,42,10,58,42,58,10,10,58,10,42,42,58,10,10,10,76,78,10,10,95,96,96,96,96,96,96,96,96,96,
100,100,100,100,101,10,10,10,10,10,108,110,10,74,10,128,130,147,148,10,10,10,10,10,10,10,10,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,357,358,358,358,358,358,358,358,358,358,358,358,358,359,99,100,100,100,100,100,100,100,100,100,100,100,101,10,10,10,10,10,10,10,10,10,10,10,10,10,58,42,58,10,58,74,10,10,10,10,10,76,107,94,10,128,47,96,96,96,96,96,96,96,96,96,
100,100,100,100,101,74,10,10,10,10,10,10,10,10,10,95,64,148,10,10,10,10,10,10,10,10,10,439,440,440,440,440,440,440,440,440,440,440,440,440,440,440,440,440,440,440,441,10,10,10,10,357,358,358,358,358,358,358,358,358,358,358,358,358,359,99,100,100,100,100,100,100,100,100,100,100,100,101,495,495,495,495,495,10,10,10,10,10,42,10,74,58,74,58,10,10,10,10,10,58,10,10,92,93,94,10,95,96,96,96,96,96,96,96,96,96,96,
100,100,100,100,101,10,10,10,10,10,10,10,10,10,10,95,97,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,357,358,358,358,358,358,358,358,358,358,358,358,358,359,115,116,116,53,100,100,100,100,100,100,100,100,101,511,511,511,511,511,10,10,10,10,10,10,10,42,58,10,10,74,10,58,42,10,42,10,10,108,91,94,10,95,96,96,96,96,96,96,96,96,96,96,
100,100,100,100,101,10,10,10,10,10,10,10,10,10,10,95,97,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,357,358,358,358,358,358,358,358,358,358,358,358,358,359,10,10,10,99,100,100,100,100,100,100,100,100,101,526,527,528,528,530,10,10,10,10,10,10,10,10,10,42,10,74,42,10,10,10,42,10,10,10,92,94,10,144,96,96,96,96,96,96,96,96,96,96,
100,100,100,100,101,10,10,10,10,10,10,10,10,10,128,47,149,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,357,358,358,358,358,358,358,358,358,358,358,358,358,359,10,10,10,98,100,100,100,100,100,100,100,52,117,542,543,544,544,546,10,10,10,10,42,10,10,10,10,58,10,58,74,74,58,10,10,10,10,10,92,94,10,145,63,96,96,96,96,96,96,96,96,96,
100,100,100,100,101,10,10,10,10,10,10,10,10,10,95,64,148,10,10,10,58,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,357,358,358,358,358,358,358,358,358,358,358,358,358,359,10,10,10,115,116,116,116,116,116,116,116,117,573,578,578,578,578,578,579,10,10,10,42,10,10,42,42,58,74,74,58,42,42,42,10,10,10,10,108,110,10,10,144,96,96,96,96,96,96,96,96,96,
100,100,100,100,101,10,10,10,10,10,10,10,10,10,95,97,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,407,408,408,408,408,408,408,408,408,408,408,408,408,408,408,409,10,10,10,10,373,374,374,374,374,374,374,374,374,374,374,374,374,375,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,42,58,58,42,10,42,58,42,10,10,10,10,10,10,10,10,145,63,96,96,96,96,96,96,96,96,
26,26,42,42,26,26,26,26,26,26,10,10,10,10,95,97,10,10,10,10,10,10,10,10,10,10,10,10,76,78,10,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,42,74,58,58,42,10,74,58,10,10,10,10,10,10,10,10,10,95,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,10,10,10,95,97,10,10,10,10,10,10,10,10,10,10,10,10,92,106,78,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,407,408,408,408,408,408,408,408,408,408,408,408,408,408,408,409,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,42,58,10,10,10,58,42,74,58,42,10,10,10,76,77,77,78,10,95,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,10,10,95,97,10,10,10,10,10,10,10,10,10,10,10,10,92,90,110,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,58,58,74,74,42,58,58,10,10,10,10,76,107,93,93,94,10,95,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,10,95,97,10,10,10,10,10,10,10,10,10,10,10,10,92,106,78,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,42,10,58,10,42,42,10,42,10,10,10,10,108,91,90,109,110,128,47,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,10,10,10,10,10,26,10,10,92,93,93,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,108,110,10,10,95,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,108,91,93,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,95,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,108,110,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,76,78,10,10,128,47,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,10,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,76,93,93,78,10,95,96,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,10,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,423,424,424,424,424,424,424,424,424,424,424,424,424,424,424,425,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,92,93,93,94,10,95,96,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,10,10,10,10,26,10,10,10,10,10,10,10,439,440,440,440,440,440,440,440,440,440,440,440,440,440,440,441,10,10,10,10,439,440,440,440,440,440,440,440,440,440,440,440,440,440,440,441,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,108,109,109,110,10,144,96,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,145,146,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,145,63,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,76,78,10,10,76,78,10,10,95,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,203,10,10,10,10,10,10,10,460,460,460,460,460,460,460,460,460,460,460,460,460,460,460,460,460,460,460,10,10,10,10,10,10,10,10,10,10,10,83,84,84,84,85,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,495,495,495,10,10,76,77,77,77,77,77,77,77,77,77,77,78,10,10,10,76,107,94,76,78,92,93,78,10,95,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,220,10,10,10,10,10,10,10,460,460,460,460,460,460,460,460,460,460,460,460,460,460,460,460,460,460,460,10,10,10,10,10,10,10,10,10,10,10,99,100,100,100,101,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,495,495,495,495,495,10,108,109,109,109,109,109,109,109,109,109,109,110,10,10,10,92,93,94,92,94,108,91,94,10,95,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,188,220,258,10,10,10,10,10,10,526,527,528,529,526,526,526,527,528,529,526,527,528,529,526,527,528,529,528,10,10,10,10,10,10,10,10,10,10,10,99,100,100,100,101,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,511,511,511,511,511,10,10,76,77,78,10,10,10,10,76,77,78,10,10,10,10,92,90,110,92,94,10,108,110,10,95,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,188,189,219,10,10,10,10,10,10,10,10,526,527,528,529,530,527,528,529,530,526,527,528,529,530,526,527,528,529,528,10,10,10,10,10,10,10,10,10,10,10,99,100,100,100,101,10,10,10,527,527,527,527,527,528,529,527,526,527,10,10,10,10,526,527,528,529,530,10,10,92,90,110,79,80,80,81,108,91,94,10,10,10,10,108,110,10,108,110,10,10,10,128,47,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,188,204,205,235,258,10,10,10,10,10,10,10,526,527,528,495,495,495,526,527,528,540,530,526,527,495,495,527,528,529,528,10,10,10,10,10,10,10,10,10,10,10,99,100,100,100,101,10,10,10,527,495,495,495,527,528,529,540,529,527,10,10,10,10,526,527,528,529,530,10,10,92,94,10,95,96,96,97,10,92,94,10,10,10,10,10,10,10,10,10,76,78,10,95,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,188,189,190,219,220,221,251,10,10,10,10,10,10,10,10,544,545,495,495,495,495,495,542,543,556,545,546,495,495,495,495,495,545,546,10,10,10,10,10,10,10,10,50,51,10,459,459,459,459,459,460,10,10,546,511,511,511,543,544,545,556,546,546,10,10,10,10,526,527,540,529,530,10,10,92,106,78,111,112,112,113,76,107,94,10,10,10,10,10,10,76,77,77,93,94,10,95,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,188,204,205,206,235,236,10,10,10,10,10,10,10,10,10,573,578,578,511,511,511,511,511,578,578,572,578,578,511,511,511,511,511,578,578,579,10,10,10,10,10,10,10,10,10,10,527,529,528,527,526,527,10,573,574,527,528,527,578,578,578,572,578,578,579,10,10,10,543,542,556,545,546,10,10,108,109,110,10,83,85,10,108,109,110,10,10,10,10,10,10,92,93,90,109,110,128,47,96,96,96,96,96,96,96,96,96,
190,190,190,190,190,190,190,190,190,190,219,220,221,222,251,10,10,10,10,10,10,10,10,10,10,10,10,10,527,527,528,529,527,10,10,10,10,10,527,527,528,529,527,10,10,10,10,10,10,10,10,10,10,10,10,10,527,527,528,540,529,527,10,10,10,546,544,546,10,341,343,10,10,76,77,78,10,573,574,575,572,578,578,579,10,10,10,76,78,99,101,76,78,10,10,10,10,10,10,10,10,108,91,94,10,10,95,96,96,96,96,96,96,96,96,96,96,
206,206,206,206,206,206,206,206,206,206,235,236,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,542,543,544,545,546,10,10,10,10,10,546,543,544,545,546,10,10,10,10,10,10,10,10,10,10,10,10,10,546,543,544,556,546,546,10,10,573,578,578,578,579,357,360,343,10,92,93,94,10,10,10,10,10,10,10,10,76,77,77,107,94,99,101,92,106,77,77,78,10,10,10,10,10,10,108,110,10,10,95,96,96,96,96,96,96,96,96,96,96,
222,222,222,222,222,222,222,222,222,222,251,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,573,578,578,578,577,578,579,10,10,10,573,578,578,578,578,578,579,10,10,10,10,10,10,10,10,10,10,10,573,574,575,576,572,578,578,579,10,10,10,10,10,10,373,374,375,10,108,109,110,10,10,10,10,10,10,10,10,108,109,109,109,110,99,101,108,109,109,109,110,10,10,10,10,10,10,10,10,10,10,95,96,96,96,96,96,96,96,96,96,96,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,84,84,84,84,84,84,84,84,84,82,84,84,84,84,84,84,84,84,84,84,84,84,82,84,84,84,84,84,84,84,82,84,84,84,84,84,84,84,84,69,68,84,84,84,84,84,84,84,84,84,84,84,84,85,10,10,144,96,96,96,96,96,96,96,96,96,96,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,100,100,100,100,100,100,100,100,100,100,100,52,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,53,100,52,116,116,116,116,53,100,101,10,10,145,63,96,96,96,96,96,96,96,96,96,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,100,100,100,52,116,53,100,100,100,100,52,117,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,99,100,101,10,10,10,10,99,100,101,76,78,10,95,96,96,96,96,96,96,96,96,96,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,76,77,77,77,77,77,77,77,77,78,10,10,10,412,412,412,398,416,416,416,10,10,10,10,10,100,100,100,101,10,99,100,100,100,100,101,10,10,10,10,10,10,10,10,10,10,10,26,26,26,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,99,100,101,10,10,42,10,99,100,101,108,110,10,95,96,96,96,96,96,96,96,96,96,
26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,92,93,93,93,93,93,93,93,93,94,10,341,343,412,412,495,495,495,416,416,10,10,10,10,10,100,100,100,68,84,69,100,100,100,52,10,10,10,10,10,10,10,10,397,397,397,397,495,495,495,399,399,399,399,10,10,10,10,10,526,527,528,529,10,10,10,10,10,10,99,100,101,10,10,10,10,99,100,68,84,84,84,95,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,10,83,85,10,10,10,10,10,10,92,90,109,109,109,109,109,109,91,94,10,357,359,412,495,495,495,495,495,416,10,10,10,10,10,100,100,100,100,100,100,100,100,100,101,397,397,398,399,399,10,10,10,397,397,495,495,495,495,495,495,495,399,399,10,10,10,10,10,526,527,540,529,10,10,10,58,10,10,99,100,101,10,10,42,10,99,100,52,116,116,116,37,37,37,37,37,96,96,96,96,96,
26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,99,101,10,10,10,10,10,10,92,94,10,76,77,77,78,10,92,94,10,357,359,511,511,511,511,511,511,511,10,10,10,10,10,100,100,100,100,100,100,100,52,116,117,10,397,398,399,399,10,10,10,495,495,495,495,495,495,495,495,495,495,495,10,76,77,78,10,542,543,556,545,10,10,10,58,10,10,99,100,101,10,10,10,10,99,100,101,10,10,10,144,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,99,101,10,10,10,10,10,10,92,94,10,92,93,93,94,10,92,94,10,357,359,527,528,528,529,540,527,527,10,10,10,10,10,100,100,100,100,100,100,100,101,10,10,397,397,398,399,399,10,10,10,511,511,511,511,511,511,511,511,511,511,511,10,92,93,94,573,578,578,572,578,10,10,495,10,10,10,99,100,101,10,10,10,10,99,100,101,10,10,10,145,63,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,99,68,85,10,10,10,10,10,92,106,78,108,91,90,110,76,107,94,10,373,375,546,546,544,545,556,546,546,10,10,10,10,10,100,100,100,100,100,100,10,10,10,10,397,397,398,399,399,10,10,10,527,526,527,528,540,529,529,527,528,529,527,10,92,93,94,10,83,84,82,85,495,495,495,495,495,10,99,100,101,10,10,10,10,99,100,101,10,76,78,10,95,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,115,53,101,10,10,10,10,10,108,91,94,10,92,94,10,92,90,110,10,10,573,578,578,578,578,572,578,578,579,10,10,10,10,100,100,100,100,52,530,529,528,527,526,526,529,528,526,530,10,10,10,527,542,543,544,556,546,546,543,544,546,527,10,92,93,94,10,99,468,100,101,511,511,511,511,511,10,99,100,101,10,10,10,10,99,100,101,10,92,94,10,95,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,10,115,117,10,10,10,10,10,10,92,94,10,92,94,10,92,94,10,10,10,10,66,67,83,85,10,10,10,10,10,10,10,10,100,100,100,100,101,526,527,528,540,529,529,527,528,529,530,10,10,573,578,578,575,576,572,578,578,575,576,578,578,579,108,109,110,10,99,100,52,117,526,527,540,540,527,10,99,100,101,10,76,78,10,99,100,101,76,107,94,128,47,96,96,96,96,96,96,96,96,
26,26,26,26,26,220,258,10,10,10,76,77,77,78,10,10,10,10,10,10,10,10,10,10,10,76,107,94,10,92,94,10,92,106,78,10,10,10,10,10,115,117,10,10,50,51,10,10,10,10,100,100,100,52,117,542,543,544,556,546,546,543,544,546,545,10,10,10,76,77,77,78,10,79,81,341,342,342,343,10,10,10,10,10,99,100,101,10,542,543,556,556,546,10,99,100,101,10,92,106,78,99,100,101,92,90,110,95,96,96,96,96,96,96,96,96,96,
26,26,26,26,10,10,10,10,10,10,108,91,93,94,10,10,10,10,83,85,10,10,10,10,10,92,90,110,76,107,106,78,108,91,94,10,10,10,10,10,10,10,50,51,10,10,10,10,10,10,100,100,100,101,573,574,575,576,572,578,578,575,576,578,578,579,10,10,108,109,109,110,10,111,113,373,374,374,375,10,10,10,10,10,115,116,117,573,578,578,572,572,578,579,99,100,101,10,92,93,93,99,100,101,92,94,79,47,96,96,96,96,96,96,96,96,96,
26,26,26,26,203,10,10,10,10,10,10,92,90,110,10,10,10,10,115,117,10,10,10,10,10,92,94,10,92,93,93,94,10,92,94,10,10,10,10,10,10,10,10,10,66,67,10,10,10,10,100,100,100,68,84,84,84,84,82,84,84,84,84,84,84,84,84,84,84,84,84,84,82,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,82,84,84,69,100,101,10,92,93,93,99,100,101,108,110,144,96,96,96,96,96,96,96,96,96,96,
26,26,26,26,193,258,10,10,10,10,10,108,110,10,10,10,10,10,10,10,83,85,10,10,10,92,94,10,108,109,109,110,10,92,94,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,116,117,10,108,91,93,99,100,101,10,10,145,63,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,115,117,10,10,10,92,106,77,77,77,77,77,77,107,94,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,460,459,459,459,459,460,10,10,460,460,460,460,460,460,460,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,92,93,99,100,68,84,84,84,95,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,92,93,93,93,93,93,93,93,93,94,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,74,74,527,527,528,529,529,527,74,74,460,459,459,459,459,459,460,10,10,10,10,527,527,10,10,10,10,10,528,528,527,10,10,10,10,10,74,10,10,10,74,74,74,74,74,74,74,10,10,92,93,99,100,52,116,116,116,37,37,37,37,37,96,96,96,96,96,
26,26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,10,10,83,85,10,10,10,108,109,109,109,109,109,109,109,109,110,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,74,74,527,527,528,529,529,527,74,74,526,527,528,529,529,529,530,10,10,10,10,527,527,10,495,495,495,10,527,529,527,74,74,74,10,10,10,10,10,74,74,74,74,74,74,74,74,10,10,92,93,99,100,101,76,78,10,144,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,10,76,78,10,76,78,10,10,10,76,77,78,99,101,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,527,527,528,529,529,527,10,10,526,527,528,529,529,529,530,10,10,10,10,527,530,495,495,495,495,495,526,527,527,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,108,110,99,100,101,92,106,78,145,63,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,10,92,106,77,107,110,10,10,10,92,90,110,99,68,85,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,10,10,10,10,99,100,101,92,93,94,10,95,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,108,91,90,110,10,10,10,10,108,110,10,115,53,101,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,99,100,101,92,90,110,128,47,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,10,108,110,10,10,10,128,80,135,81,10,10,99,68,85,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,76,78,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,76,77,78,10,10,10,10,10,10,10,10,99,100,101,108,110,128,130,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,10,10,10,10,10,10,95,96,96,97,10,10,115,53,68,85,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,92,94,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,76,77,107,93,106,78,10,10,10,10,10,10,10,99,100,101,10,10,95,96,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,10,10,10,10,10,10,111,146,96,149,10,10,10,115,116,117,10,10,10,10,10,83,84,85,10,10,10,10,10,10,83,84,85,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,83,84,84,84,85,10,10,10,10,108,110,10,10,10,10,10,10,10,83,84,84,85,10,10,10,10,10,108,109,109,109,109,110,10,10,10,10,10,10,10,99,100,101,10,10,144,96,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,188,10,10,10,10,10,10,10,145,112,148,10,10,10,10,10,10,83,85,83,84,84,69,52,117,10,10,10,10,83,84,69,100,101,10,10,83,84,85,10,10,10,10,10,10,10,10,10,10,10,10,10,83,69,52,116,116,117,10,10,83,84,85,10,10,10,10,10,10,10,10,99,100,100,68,85,10,10,10,10,10,10,10,10,10,10,10,10,10,76,77,78,42,99,100,101,10,10,145,112,112,63,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,188,204,258,10,76,77,78,10,10,10,10,10,10,10,10,10,10,10,115,117,115,116,116,116,117,10,10,10,10,10,115,116,116,116,117,10,10,115,116,117,10,10,10,10,10,10,10,10,10,10,10,10,10,115,116,117,10,10,10,10,10,115,116,117,10,10,10,10,10,10,10,10,115,116,53,100,68,85,10,10,10,10,10,10,10,10,10,10,10,10,108,91,93,78,99,100,101,76,77,78,10,129,47,96,96,96,96,96,96,96,
26,26,26,26,26,26,188,204,236,10,76,107,90,110,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,115,116,116,117,10,10,10,10,10,10,10,10,10,10,10,10,10,92,93,94,99,100,101,92,90,110,129,130,96,96,96,96,96,96,96,96,
26,26,26,26,26,203,204,236,10,10,108,91,106,78,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,76,77,78,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,92,93,94,99,100,101,108,110,128,130,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,220,236,10,10,10,10,108,109,110,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,76,77,78,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,76,78,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,92,90,110,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,108,109,110,99,100,101,10,10,95,96,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,76,77,77,107,93,106,78,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,92,94,10,10,76,78,10,10,10,10,10,10,10,10,10,10,10,108,110,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,99,100,101,10,10,144,96,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,92,93,93,93,93,90,110,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,92,94,10,10,92,94,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,76,77,78,10,10,10,10,10,10,10,10,10,10,10,10,99,100,101,10,10,145,63,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,76,78,10,10,108,109,109,91,93,94,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,108,110,10,10,108,110,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,92,93,94,10,10,10,10,10,10,10,10,10,10,10,10,99,100,101,10,10,10,95,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,26,26,26,10,10,10,10,10,10,76,107,94,10,10,10,10,10,108,109,110,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,76,77,78,10,10,10,10,10,10,76,107,90,110,10,10,10,10,10,10,10,10,10,10,10,10,99,100,101,10,10,10,95,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,10,10,10,26,26,26,26,26,10,10,10,10,76,107,90,110,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,108,91,106,78,10,10,10,10,10,108,109,110,10,10,10,10,10,10,10,10,10,10,10,10,10,99,100,101,10,10,128,47,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,10,108,109,110,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,92,93,94,10,10,76,78,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,99,100,101,10,10,95,96,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,92,90,110,10,76,107,106,77,77,78,10,10,10,10,10,10,10,10,10,10,10,10,10,10,99,100,101,10,10,111,63,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,108,110,10,10,108,91,93,93,90,110,10,10,10,10,10,10,10,10,10,10,10,10,10,10,99,100,101,10,10,10,95,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,108,109,109,110,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,99,100,101,10,10,10,95,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,26,188,189,190,191,192,26,26,26,26,26,26,26,26,188,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,99,100,101,10,10,128,47,96,96,96,96,96,96,96,96,96,
26,26,26,26,26,26,26,26,26,26,26,188,204,221,222,223,225,190,190,191,192,26,26,26,188,204,258,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,99,100,101,10,10,95,96,96,96,96,96,96,96,96,96,96
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,2,0,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,0,2,2,0,0,0,0,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,0,0,0,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,2,0,0,0,0,0,2,2,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,2,2,2,0,2,0,2,0,2,0,2,0,0,0,0,2,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,0,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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