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level1:18:,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,89,110,111,30#
level1:19:,27,27,30,27,27,27,30,27,27,30,27,27,27,28,0,0,0,0,0,0,0,0,0,0,0,0,0,16,0,0,11,12,13,14,15,0,110,111,30,27#
level1:20:,27,30,27,27,27,30,27,27,27,27,27,30,27,28,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1#
level1:21:,27,27,27,27,27,27,27,27,30,27,27,27,27,31,0,0,0,0,0,0,0,0,0,0,0,0,29,27,27,27,30,27,27,27,27,30,27,27,30,27#
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level2:1:,48,48,51,48,48,48,48,48,51,48,48,48,51,48,27,86,27,27,27,48,51,48,48,48,51,48,48,48,48,51,48,48,48,48,51,48,48,27,27,27#
level2:2:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,85,86,30,27,28,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,30,27#
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level2:4:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,106,107,27,31,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,27,27#
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level2:7:,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,50,48,51#
level2:8:,27,30,27,27,27,30,27,27,30,28,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
level2:9:,48,48,48,51,48,48,48,48,48,52,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
level2:10:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
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level2:13:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
level2:14:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,16,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
level2:15:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0#
level2:16:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,29,27,27,28,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
level2:17:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,27,30,28,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
level2:18:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,27,27,28,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
level2:19:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,29,27,27,31,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
level2:20:,14,15,0,0,0,0,0,0,0,0,0,0,11,12,13,14,15,0,0,0,0,0,26,30,27,28,0,0,0,0,0,0,11,12,13,14,15,0,0,16#
level2:21:,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1#
level2:22:,27,30,27,27,30,27,27,27,27,27,30,27,27,30,27,27,27,30,27,27,27,27,30,27,27,27,27,27,30,27,27,27,30,27,27,30,27,27,27,30#
level2:23:,27,27,30,27,27,27,27,30,27,27,27,30,27,27,27,30,27,27,27,27,30,27,27,30,27,30,27,27,27,27,30,27,27,27,30,27,27,30,27,27#


level3:0:,48,48,48,51,48,48,48,48,48,48,51,48,48,48,48,51,48,48,48,48,48,48,51,48,48,48,48,48,51,48,48,48,48,48,48,51,48,48,48,48#
level3:1:,98,99,100,101,96,97,98,99,100,101,96,97,98,99,100,101,96,97,98,99,100,101,96,97,98,99,100,101,96,97,98,99,100,101,96,97,98,99,100,101#
level3:2:,119,120,121,122,117,118,119,120,121,122,117,118,119,120,121,122,117,118,119,120,121,122,117,118,119,120,121,122,117,118,119,120,121,122,117,118,119,120,121,122#
level3:3:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
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level3:5:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
level3:6:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,16,0,0,0,0,11,12,13,14,15#
level3:7:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,19,1,1,1,1,1,1,1,1,1,1,1,1#
level3:8:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,102,103,26,27,30,27,27,27,27,30,27,30,27,27#
level3:9:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,123,124,50,48,48,48,48,51,48,48,48,48,48,51#
level3:10:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,31,0,0,0,0,0,0,96,97,98,99,100,101,96,97,98,99,100,101#
level3:11:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,28,0,0,0,0,0,0,117,118,119,120,121,122,117,118,119,120,121,122#
level3:12:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,29,28,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
level3:13:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,31,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
level3:14:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,27,71,72,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
level3:15:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,29,27,92,93,94,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
level3:16:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,27,30,114,71,72,73,0,0,0,0,0,0,0,0,0,0,0,0,0#
level3:17:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,30,27,27,92,93,94,0,0,0,0,0,0,0,0,0,0,0,0,0#
level3:18:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,27,27,30,113,114,71,72,73,0,0,0,0,0,0,0,0,0,0,0#
level3:19:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,27,30,27,30,27,92,93,94,0,0,0,0,0,0,0,0,0,0,0#
level3:20:,13,14,15,0,0,0,0,0,0,0,16,0,0,0,0,0,0,11,12,13,29,27,27,27,27,27,30,114,115,0,0,0,0,11,12,13,14,15,0,16#
level3:21:,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1#
level3:22:,27,30,27,27,30,27,27,27,27,27,30,27,27,30,27,27,27,30,27,27,27,27,30,27,27,27,27,27,30,27,27,27,30,27,27,30,27,27,27,30#
level3:23:,27,27,30,27,27,27,27,30,27,27,27,30,27,27,27,30,27,27,27,27,30,27,27,30,27,30,27,27,27,27,30,27,27,27,30,27,27,30,27,27#

level4:0:,48,48,48,51,48,48,48,48,48,48,51,48,48,48,48,51,48,48,48,48,48,48,51,48,48,48,48,48,51,48,48,48,48,48,48,51,48,48,48,48#
level4:1:,98,99,100,101,96,97,98,99,100,101,96,97,98,99,100,101,96,97,98,99,100,101,96,97,98,99,100,101,96,97,98,99,100,101,96,97,98,99,100,101#
level4:2:,119,120,121,122,117,118,119,120,121,122,117,118,119,120,121,122,117,118,119,120,121,122,117,118,119,120,121,122,117,118,119,120,121,122,117,118,119,120,121,122#
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level4:5:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
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level4:7:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,54,55,58,59,0,0,0,0,0,0,0,54,55,59,0,0,0,0,0,0,0,54,55#
level4:8:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,75,76,79,80,0,0,0,0,0,0,0,75,76,80,0,0,0,0,0,0,0,75,76#
level4:9:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,85,86,27,30,4,0,0,0,0,0,0,29,27,28,0,0,0,0,0,0,0,26,27#
level4:10:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,106,107,30,27,4,0,0,0,0,0,0,26,30,28,0,0,0,0,0,0,0,26,30#
level4:11:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,107,27,4,0,0,0,0,0,0,26,27,28,0,0,0,0,0,0,0,26,27#
level4:12:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,4,0,0,0,0,0,0,26,30,28,0,0,0,0,0,0,0,29,27#
level4:13:,13,14,15,0,0,0,0,0,16,0,0,0,0,0,0,0,0,0,0,0,29,4,0,0,0,0,0,0,26,27,28,0,0,0,0,0,0,0,26,30#
level4:14:,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,26,4,0,0,0,0,0,0,26,27,31,0,0,0,0,0,0,0,26,27#
level4:15:,30,27,27,27,27,27,27,30,27,87,88,0,0,0,0,0,0,0,18,19,29,4,0,0,0,0,0,0,29,27,28,0,0,0,0,0,0,0,26,30#
level4:16:,27,27,27,30,27,27,27,27,48,108,109,0,0,0,0,0,0,0,39,40,26,4,0,0,0,0,0,0,26,27,28,0,0,0,0,0,0,0,26,27#
level4:17:,27,27,27,27,27,30,27,28,0,0,0,0,0,0,0,0,0,0,60,61,26,4,0,0,0,0,0,0,26,30,28,0,0,0,0,0,0,0,29,27#
level4:18:,27,27,30,27,27,27,27,31,0,0,0,0,0,0,0,0,0,0,81,82,29,4,0,0,0,0,0,0,26,27,28,0,0,0,0,0,0,0,26,30#
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level4:20:,27,30,27,27,30,27,30,28,0,0,11,12,13,14,15,0,0,0,123,124,26,4,0,0,16,0,0,0,26,27,31,0,11,12,13,14,15,0,29,27#
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level7:23:,27,27,30,27,27,27,27,30,27,27,27,30,27,27,27,30,27,27,27,27,30,27,27,30,27,30,27,27,27,27,30,27,27,27,30,27,27,30,27,27#

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level9:15:,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,27,27,27,108,109,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
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level9:23:,27,27,30,27,27,27,27,30,27,27,27,30,27,27,27,30,27,27,27,27,30,27,27,30,27,30,27,27,27,27,30,27,27,27,30,27,27,30,27,27#

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level10:1:,96,97,98,99,100,101,96,97,98,99,100,101,96,97,98,99,100,101,96,97,98,99,26,27,27,27,27,30,27,30,27,30,27,30,27,27,27,27,30,30#
level10:2:,117,118,119,120,121,122,117,118,119,120,121,122,117,118,119,120,121,122,117,118,119,120,29,27,27,30,27,27,27,27,27,27,27,27,27,27,27,27,30,27#
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level10:15:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,27,27,30,27,30,27,27,27,6,6,9,6#
level10:16:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,16,0,11,12,13,26,31,25,25,25,25,25,25,25,25,25,25,25#
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level10:19:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,27,30,27,27,30,27,30,27,31,0,0,0,0,0,0,0,0,0,0,0#
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level10:21:,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1#
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level10:23:,27,27,30,27,27,27,27,30,27,27,27,30,27,27,27,30,27,27,27,27,30,27,27,30,27,30,27,27,27,27,30,27,27,27,30,27,27,30,27,27#

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level11:13:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,6,9,6,10,0,0,0,0,0,0,0,0,26,27#
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level11:15:,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,30,28,0,0,0,0,0,0,0,0,0,0,0,5,27,30#
level11:16:,48,51,48,48,51,48,48,48,48,51,48,48,48,51,48,51,48,48,48,51,48,51,48,48,48,52,0,0,0,0,0,0,0,0,0,0,0,25,25,25#
level11:17:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
level11:18:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,10,0,0,0,0,0,0,0,0#
level11:19:,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,27,6,10,0,0,0,0,0,0#
level11:20:,14,15,0,0,0,0,0,0,0,0,0,0,16,0,0,0,0,0,11,12,13,14,15,0,0,0,0,0,0,0,24,30,27,28,0,0,0,0,0,0#
level11:21:,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0#
level11:22:,27,30,27,27,30,27,27,27,27,27,27,27,27,30,27,27,27,30,27,27,27,27,30,27,27,27,27,27,30,27,27,27,30,27,0,0,0,0,0,0#
level11:23:,27,27,30,27,27,27,27,30,27,27,27,30,27,27,27,30,27,27,27,27,30,27,27,30,27,30,27,27,27,27,30,27,27,27,0,0,0,0,0,0#

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level12:1:,27,27,30,27,27,27,66,67,0,0,0,106,107,27,31,0,0,0,0,26,27,27,27,27,27,27,27,27,30,27,27,27,27,27,27,30,27,27,27,27#
level12:2:,27,27,27,27,27,27,30,27,45,46,0,0,0,26,28,0,0,0,0,50,48,48,48,51,48,51,48,51,48,48,51,48,48,51,48,48,48,48,51,48#
level12:3:,27,30,27,27,30,27,27,27,66,45,46,0,0,47,52,0,0,0,0,96,97,98,99,100,101,96,97,98,99,96,97,98,99,100,101,96,97,98,99,100#
level12:4:,27,27,27,30,27,27,27,30,27,66,67,0,0,0,0,0,0,0,0,117,118,119,120,121,122,117,118,119,120,117,118,119,120,121,122,117,118,119,120,121#
level12:5:,25,25,25,25,25,25,25,25,25,25,25,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
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level12:8:,0,0,0,0,0,0,0,0,0,0,47,51,108,25,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0#
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