809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,708,711,711,711,711,711,711,711,711,709,809,809,809,809,809,809,809,711,711,709,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,708,761,698,698,698,698,698,698,698,698,698,698,698,698,698,698,698,698,698,698,698,698,698,698,698,698,698,698,698,698,698,698,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,710,774,714,714,714,714,714,714,714,714,714,714,714,714,714,714,714,714,714,714,714,714,714,714,714,714,714,714,714,714,714,773,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,710,774,911,911,911,911,911,911,911,911,911,911,911,911,911,911,911,911,911,911,911,911,911,911,911,911,911,911,911,911,911,773,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,923,923,923,927,927,911,927,911,927,943,911,911,911,911,911,911,911,911,927,943,911,911,911,911,911,911,911,911,911,911,911,911,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,923,923,923,927,911,923,923,923,923,923,911,923,923,923,923,923,923,923,923,923,911,923,923,923,923,923,923,923,943,911,927,927,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,923,923,923,911,927,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,911,911,911,911,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,923,923,923,927,911,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,911,911,911,911,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,923,923,923,927,927,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,911,927,911,911,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,923,923,923,911,927,923,923,923,923,923,923,911,923,923,923,923,923,923,923,923,923,911,923,923,923,923,923,923,911,911,911,943,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,923,923,923,943,911,923,923,923,923,923,923,911,923,923,923,923,923,923,923,923,923,911,923,923,923,923,923,923,911,911,911,911,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,923,923,923,927,927,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,923,943,911,911,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,923,923,911,911,911,911,911,911,911,911,911,911,911,911,911,923,911,911,911,911,911,911,911,911,911,923,911,911,911,911,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,923,927,927,927,927,911,911,911,911,911,911,911,911,911,923,923,911,911,911,911,911,911,911,911,923,923,859,911,911,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,927,927,927,927,809,809,809,809,809,809,809,809,809,809,923,809,809,809,809,809,809,809,809,809,923,859,911,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,923,859,859,859,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,809,
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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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,5,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,5,0,2,2,2,0,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,0,2,2,2,0,0,2,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,0,2,2,2,0,0,0,2,2,2,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,5,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,2,2,2,0,2,2,2,0,0,0,2,2,2,0,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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