{"version":10,"randomSeed":"5de9def77b09d85e1beedd7c8054b6c9","graph":{"viewport":{"xmin":-0.10385979770939217,"ymin":-0.30190426995652814,"xmax":1.2458734600148387,"ymax":1.0478289877677027}},"expressions":{"list":[{"type":"text","id":"15","text":"actual probability distribution P(A) and P(B) (P(C) inferred)"},{"type":"expression","id":"1","color":"#c74440","latex":"p_{1}=\\frac{1}{3}","slider":{"hardMin":true,"hardMax":true,"min":"0","max":"1"}},{"type":"expression","id":"2","color":"#2d70b3","latex":"p_{2}=\\frac{1}{3}","slider":{"hardMin":true,"min":"0"}},{"type":"expression","id":"3","color":"#388c46","latex":"\\left(p_{1},p_{2}\\right)"},{"type":"expression","id":"34","color":"#000000","latex":"1-x\\left\\{0\\le x\\le1\\right\\}"},{"type":"text","id":"17","text":"sample size"},{"type":"expression","id":"4","color":"#6042a6","latex":"n=80","slider":{"step":"1"}},{"type":"text","id":"19","text":"trial count"},{"type":"expression","id":"12","color":"#2d70b3","latex":"N=3000","slider":{"hardMax":true,"max":"9000","step":"1"}},{"type":"text","id":"21","text":"from random number 0 to 1, select A, B, or C (0, 1, or 2) according to distribution"},{"type":"expression","id":"5","color":"#000000","latex":"C\\left(x\\right)=\\left\\{0\\le x\\le p_{1}:0,p_{1}\\le x\\le p_{1}+p_{2}:1,p_{1}+p_{2}\\le x\\le1:2\\right\\}","hidden":true},{"type":"text","id":"29","text":"distribution apparent in sample (given sample)"},{"type":"expression","id":"7","color":"#2d70b3","latex":"Q\\left(l\\right)=\\left(\\sum_{i_{1}=1}^{\\operatorname{length}\\left(l\\right)}\\left\\{l\\left[i_{1}\\right]=0:1,0\\right\\},\\sum_{i_{1}=1}^{\\operatorname{length}\\left(l\\right)}\\left\\{l\\left[i_{1}\\right]=1:1,0\\right\\}\\right)"},{"type":"expression","id":"6","color":"#c74440","latex":"L_{s}\\to\\left[Q\\left(C\\left(\\operatorname{random}\\left(n\\right)\\right)\\right)\\operatorname{for}k=\\left[1...N\\right]\\right]","hidden":true,"pointOpacity":"0.03","pointSize":"30"},{"type":"expression","id":"36","color":"#6042a6","latex":"L_{c}\\to\\left[\\sum_{i_{2}=1}^{\\operatorname{length}\\left(L_{s}\\right)}\\left\\{\\operatorname{distance}\\left(L_{s}\\left[i_{2}\\right],\\left(P_{1},P_{2}\\right)\\right)=0:1,0\\right\\}\\operatorname{for}P_{1}=\\left[0...n\\right],P_{2}=\\left[0...n\\right]\\right]"},{"type":"folder","id":"48","title":"maybe don't open","collapsed":true},{"type":"expression","id":"50","folderId":"48","color":"#2d70b3","latex":"L_{s}=\\left[\\left(24,30\\right),\\left(25,31\\right),\\left(25,28\\right),\\left(29,30\\right),\\left(22,25\\right),\\left(25,24\\right),\\left(25,28\\right),\\left(26,23\\right),\\left(24,26\\right),\\left(26,28\\right),\\left(28,26\\right),\\left(24,30\\right),\\left(30,23\\right),\\left(21,32\\right),\\left(38,15\\right),\\left(25,26\\right),\\left(36,25\\right),\\left(29,29\\right),\\left(26,27\\right),\\left(21,34\\right),\\left(26,26\\right),\\left(26,23\\right),\\left(27,25\\right),\\left(30,17\\right),\\left(29,25\\right),\\left(31,23\\right),\\left(29,24\\right),\\left(30,29\\right),\\left(22,27\\right),\\left(27,31\\right),\\left(30,25\\right),\\left(26,32\\right),\\left(33,23\\right),\\left(27,32\\right),\\left(28,25\\right),\\left(26,23\\right),\\left(30,24\\right),\\left(28,28\\right),\\left(33,24\\right),\\left(28,29\\right),\\left(32,20\\right),\\left(30,28\\right),\\left(21,28\\right),\\left(29,29\\right),\\left(27,23\\right),\\left(24,24\\right),\\left(16,32\\right),\\left(26,24\\right),\\left(32,14\\right),\\left(24,25\\right),\\left(24,24\\right),\\left(29,31\\right),\\left(30,22\\right),\\left(30,25\\right),\\left(26,28\\right),\\left(28,25\\right),\\left(28,27\\right),\\left(24,29\\right),\\left(26,24\\right),\\left(30,26\\right),\\left(30,24\\right),\\left(26,24\\right),\\left(30,24\\right),\\left(28,21\\right),\\left(30,22\\right),\\left(33,25\\right),\\left(27,27\\right),\\left(27,27\\right),\\left(22,30\\right),\\left(13,30\\right),\\left(24,29\\right),\\left(25,32\\right),\\left(26,26\\right),\\left(24,25\\right),\\left(29,22\\right),\\left(26,33\\right),\\left(29,23\\right),\\left(23,29\\right),\\left(25,26\\right),\\left(26,23\\right),\\left(36,23\\right),\\left(26,25\\right),\\left(32,23\\right),\\left(31,21\\right),\\left(26,27\\right),\\left(26,24\\right),\\left(22,32\\right),\\left(29,32\\right),\\left(29,18\\right),\\left(32,21\\right),\\left(25,25\\right),\\left(32,27\\right),\\left(27,28\\right),\\left(26,24\\right),\\left(33,25\\right),\\left(20,24\\right),\\left(33,17\\right),\\left(31,32\\right),\\left(31,24\\right),\\left(23,26\\right),\\left(25,32\\right),\\left(26,29\\right),\\left(25,32\\right),\\left(24,27\\right),\\left(28,31\\right),\\left(28,23\\right),\\left(25,24\\right),\\left(32,23\\right),\\left(23,29\\right),\\left(26,22\\right),\\left(29,28\\right),\\left(24,28\\right),\\left(25,27\\right),\\left(31,30\\right),\\left(25,25\\right),\\left(21,34\\right),\\left(33,23\\right),\\left(24,37\\right),\\left(27,21\\right),\\left(27,31\\right),\\left(25,28\\right),\\left(27,25\\right),\\left(33,23\\right),\\left(19,23\\right),\\left(29,24\\right),\\left(32,27\\right),\\left(31,32\\right),\\left(23,25\\right),\\left(27,25\\right),\\left(23,27\\right),\\left(24,25\\right),\\left(31,20\\right),\\left(30,32\\right),\\left(28,29\\right),\\left(33,24\\right),\\left(24,24\\right),\\left(27,37\\right),\\left(34,20\\right),\\left(29,28\\right),\\left(21,28\\right),\\left(26,30\\right),\\left(18,34\\right),\\left(24,25\\right),\\left(26,30\\right),\\left(24,29\\right),\\left(33,24\\right),\\left(30,28\\right),\\left(29,24\\right),\\left(27,24\\right),\\left(26,22\\right),\\left(25,22\\right),\\left(30,20\\right),\\left(34,28\\right),\\left(23,31\\right),\\left(28,20\\right),\\left(25,23\\right),\\left(28,25\\right),\\left(32,21\\right),\\left(32,26\\right),\\left(29,28\\right),\\left(31,25\\right),\\left(29,19\\right),\\left(26,30\\right),\\left(23,23\\right),\\left(27,20\\right),\\left(31,23\\right),\\left(31,22\\right),\\left(26,21\\right),\\left(23,26\\right),\\left(23,32\\right),\\left(19,37\\right),\\left(24,33\\right),\\left(26,30\\right),\\left(16,32\\right),\\left(30,27\\right),\\left(26,24\\right),\\left(27,31\\right),\\left(24,30\\right),\\left(27,26\\right),\\left(34,22\\right),\\left(23,23\\right),\\left(26,31\\right),\\left(31,23\\right),\\left(28,30\\right),\\left(23,30\\right),\\left(25,27\\right),\\left(24,30\\right),\\left(25,21\\right),\\left(20,31\\right),\\left(32,24\\right),\\left(28,32\\right),\\left(21,34\\right),\\left(23,30\\right),\\left(24,35\\right),\\left(27,29\\right),\\left(32,25\\right),\\left(25,27\\right),\\left(30,22\\right),\\left(24,26\\right),\\left(25,27\\right),\\left(25,28\\right),\\left(26,31\\right),\\left(29,25\\right),\\left(28,20\\right),\\left(31,24\\right),\\left(27,29\\right),\\left(27,22\\right),\\left(21,32\\right),\\left(21,23\\right),\\left(18,27\\right),\\left(22,24\\right),\\left(30,23\\right),\\left(24,31\\right),\\left(23,24\\right),\\left(26,30\\right),\\left(25,34\\right),\\left(27,26\\right),\\left(19,33\\right),\\left(27,24\\right),\\left(24,26\\right),\\left(32,30\\right),\\left(30,22\\right),\\left(26,31\\right),\\left(24,25\\right),\\left(27,33\\right),\\left(24,28\\right),\\left(26,25\\right),\\left(33,27\\right),\\left(27,28\\right),\\left(21,29\\right),\\left(24,29\\right),\\left(26,22\\right),\\left(38,20\\right),\\left(33,24\\right),\\left(25,27\\right),\\left(29,23\\right),\\left(27,27\\right),\\left(30,28\\right),\\left(35,29\\right),\\left(28,30\\right),\\left(27,24\\right),\\left(24,29\\right),\\left(28,30\\right),\\left(27,20\\right),\\left(24,24\\right),\\left(32,25\\right),\\left(28,28\\right),\\left(13,39\\right),\\left(28,24\\right),\\left(25,31\\right),\\left(35,27\\right),\\left(27,21\\right),\\left(27,28\\right),\\left(27,30\\right),\\left(24,28\\right),\\left(24,26\\right),\\left(26,32\\right),\\left(28,29\\right),\\left(21,32\\right),\\left(24,23\\right),\\left(25,28\\right),\\left(27,31\\right),\\left(27,24\\right),\\left(30,27\\right),\\left(26,26\\right),\\left(30,26\\right),\\left(27,18\\right),\\left(26,25\\right),\\left(25,21\\right),\\left(30,27\\right),\\left(31,20\\right),\\left(35,24\\right),\\left(26,23\\right),\\left(29,25\\right),\\left(25,28\\right),\\left(25,31\\right),\\left(31,27\\right),\\left(28,27\\right),\\left(31,23\\right),\\left(28,20\\right),\\left(27,31\\right),\\left(24,26\\right),\\left(35,18\\right),\\left(26,20\\right),\\left(25,32\\right),\\left(31,30\\right),\\left(27,34\\right),\\left(27,29\\right),\\left(32,19\\right),\\left(30,21\\right),\\left(27,33\\right),\\left(32,18\\right),\\left(32,25\\right),\\left(32,23\\right),\\left(26,25\\right),\\left(28,25\\right),\\left(23,26\\right),\\left(29,31\\right),\\left(27,25\\right),\\left(31,23\\right),\\left(32,22\\right),\\left(26,29\\right),\\left(29,27\\right),\\left(31,22\\right),\\left(31,26\\right),\\left(27,25\\right),\\left(25,22\\right),\\left(20,30\\right),\\left(22,23\\right),\\left(19,32\\right),\\left(18,30\\right),\\left(20,30\\right),\\left(17,26\\right),\\left(36,25\\right),\\left(25,29\\right),\\left(22,34\\right),\\left(26,35\\right),\\left(23,34\\right),\\left(29,21\\right),\\left(21,28\\right),\\left(29,23\\right),\\left(23,24\\right),\\left(23,26\\right),\\left(25,22\\right),\\left(27,28\\right),\\left(35,21\\right),\\left(24,23\\right),\\left(29,27\\right),\\left(25,24\\right),\\left(21,27\\right),\\left(23,36\\right),\\left(25,22\\right),\\left(30,20\\right),\\left(21,31\\right),\\left(23,23\\right),\\left(26,24\\right),\\left(31,31\\right),\\left(29,23\\right),\\left(31,22\\right),\\left(34,22\\right),\\left(33,24\\right),\\left(22,27\\right),\\left(33,20\\right),\\left(31,24\\right),\\left(27,31\\right),\\left(29,26\\right),\\left(23,25\\right),\\left(28,25\\right),\\left(31,22\\right),\\left(28,23\\right),\\left(24,29\\right),\\left(25,24\\right),\\left(29,22\\right),\\left(19,27\\right),\\left(23,29\\right),\\left(24,31\\right),\\left(22,28\\right),\\left(22,26\\right),\\left(24,27\\right),\\left(27,29\\right),\\left(30,29\\right),\\left(26,30\\right),\\left(22,26\\right),\\left(25,30\\right),\\left(25,31\\right),\\left(29,22\\right),\\left(27,25\\right),\\left(31,25\\right),\\left(26,23\\right),\\left(25,22\\right),\\left(29,23\\right),\\left(26,32\\right),\\left(29,19\\right),\\left(28,27\\right),\\left(32,24\\right),\\left(22,34\\right),\\left(28,29\\right),\\left(19,29\\right),\\left(32,21\\right),\\left(25,22\\right),\\left(33,22\\right),\\left(29,24\\right),\\left(20,30\\right),\\left(27,25\\right),\\left(19,29\\right),\\left(22,30\\right),\\left(26,26\\right),\\left(31,23\\right),\\left(25,30\\right),\\left(26,22\\right),\\left(31,27\\right),\\left(25,25\\right),\\left(30,27\\right),\\left(29,23\\right),\\left(26,29\\right),\\left(30,29\\right),\\left(28,25\\right),\\left(22,35\\right),\\left(29,24\\right),\\left(24,32\\right),\\left(23,27\\right),\\left(31,23\\right),\\left(32,24\\right),\\left(20,27\\right),\\left(20,26\\right),\\left(21,28\\right),\\left(20,32\\right),\\left(33,26\\right),\\left(22,26\\right),\\left(22,35\\right),\\left(23,29\\right),\\left(28,18\\right),\\left(23,38\\right),\\left(31,26\\right),\\left(25,29\\right),\\left(23,31\\right),\\left(31,23\\right),\\left(29,26\\right),\\left(19,24\\right),\\left(28,28\\right),\\left(37,21\\right),\\left(26,32\\right),\\left(32,24\\right),\\left(22,29\\right),\\left(31,26\\right),\\left(22,25\\right),\\left(24,32\\right),\\left(23,35\\right),\\left(25,29\\right),\\left(24,31\\right),\\left(31,23\\right),\\left(33,19\\right),\\left(28,28\\right),\\left(26,21\\right),\\left(22,29\\right),\\left(27,25\\right),\\left(36,24\\right),\\left(22,26\\right),\\left(28,26\\right),\\left(28,24\\right),\\left(26,21\\right),\\left(35,31\\right),\\left(22,24\\right),\\left(22,32\\right),\\left(30,28\\right),\\left(24,28\\right),\\left(31,28\\right),\\left(26,21\\right),\\left(31,26\\right),\\left(27,27\\right),\\left(26,29\\right),\\left(30,29\\right),\\left(37,25\\right),\\left(16,38\\right),\\left(26,29\\right),\\left(22,31\\right),\\left(29,26\\right),\\left(22,40\\right),\\left(25,28\\right),\\left(26,25\\right),\\left(26,25\\right),\\left(29,24\\right),\\left(24,27\\right),\\left(30,26\\right),\\left(29,34\\right),\\left(28,26\\right),\\left(26,29\\right),\\left(24,19\\right),\\left(27,22\\right),\\left(23,31\\right),\\left(16,35\\right),\\left(19,30\\right),\\left(23,28\\right),\\left(27,19\\right),\\left(27,33\\right),\\left(34,24\\right),\\left(32,24\\right),\\left(22,29\\right),\\left(26,29\\right),\\left(32,27\\right),\\left(32,23\\right),\\left(31,27\\right),\\left(35,21\\right),\\left(32,32\\right),\\left(23,25\\right),\\left(32,22\\right),\\left(27,30\\right),\\left(18,35\\right),\\left(27,13\\right),\\left(24,26\\right),\\left(25,31\\right),\\left(29,34\\right),\\left(32,21\\right),\\left(29,22\\right),\\left(25,27\\right),\\left(38,24\\right),\\left(23,28\\right),\\left(20,23\\right),\\left(30,28\\right),\\left(27,28\\right),\\left(28,22\\right),\\left(29,29\\right),\\left(23,28\\right),\\left(27,33\\right),\\left(28,24\\right),\\left(31,27\\right),\\left(27,28\\right),\\left(25,26\\right),\\left(26,29\\right),\\left(25,27\\right),\\left(24,25\\right),\\left(27,31\\right),\\left(26,25\\right),\\left(32,25\\right),\\left(23,29\\right),\\left(25,29\\right),\\left(27,26\\right),\\left(31,27\\right),\\left(22,25\\right),\\left(26,25\\right),\\left(28,33\\right),\\left(27,24\\right),\\left(24,31\\right),\\left(30,23\\right),\\left(21,27\\right),\\left(31,21\\right),\\left(17,26\\right),\\left(26,18\\right),\\left(25,27\\right),\\left(24,21\\right),\\left(22,37\\right),\\left(30,25\\right),\\left(29,25\\right),\\left(25,28\\right),\\left(28,24\\right),\\left(27,29\\right),\\left(29,25\\right),\\left(26,24\\right),\\left(32,23\\right),\\left(25,25\\right),\\left(27,28\\right),\\left(27,23\\right),\\left(25,27\\right),\\left(25,24\\right),\\left(28,29\\right),\\left(28,23\\right),\\left(29,30\\right),\\left(22,23\\right),\\left(27,28\\right),\\left(19,27\\right),\\left(29,23\\right),\\left(26,29\\right),\\left(36,29\\right),\\left(24,28\\right),\\left(24,18\\right),\\left(35,23\\right),\\left(24,18\\right),\\left(25,19\\right),\\left(26,31\\right),\\left(28,25\\right),\\left(25,25\\right),\\left(23,27\\right),\\left(32,25\\right),\\left(28,22\\right),\\left(28,27\\right),\\left(27,32\\right),\\left(29,24\\right),\\left(32,26\\right),\\left(26,28\\right),\\left(22,40\\right),\\left(17,32\\right),\\left(24,27\\right),\\left(34,21\\right),\\left(21,24\\right),\\left(18,32\\right),\\left(18,31\\right),\\left(28,28\\right),\\left(18,30\\right),\\left(21,22\\right),\\left(33,34\\right),\\left(25,30\\right),\\left(26,27\\right),\\left(22,27\\right),\\left(24,22\\right),\\left(33,22\\right),\\left(31,26\\right),\\left(28,24\\right),\\left(21,26\\right),\\left(27,29\\right),\\left(21,24\\right),\\left(33,22\\right),\\left(24,26\\right),\\left(28,21\\right),\\left(26,28\\right),\\left(27,30\\right),\\left(32,25\\right),\\left(27,21\\right),\\left(31,21\\right),\\left(22,31\\right),\\left(23,27\\right),\\left(23,34\\right),\\left(26,23\\right),\\left(34,27\\right),\\left(19,34\\right),\\left(20,30\\right),\\left(24,25\\right),\\left(27,21\\right),\\left(21,32\\right),\\left(25,27\\right),\\left(35,24\\right),\\left(27,28\\right),\\left(26,23\\right),\\left(23,26\\right),\\left(26,26\\right),\\left(31,23\\right),\\left(27,26\\right),\\left(26,27\\right),\\left(24,25\\right),\\left(28,24\\right),\\left(29,28\\right),\\left(24,31\\right),\\left(26,24\\right),\\left(22,26\\right),\\left(31,21\\right),\\left(28,28\\right),\\left(40,21\\right),\\left(23,30\\right),\\left(28,26\\right),\\left(28,33\\right),\\left(24,29\\right),\\left(28,29\\right),\\left(30,22\\right),\\left(20,39\\right),\\left(19,33\\right),\\left(26,25\\right),\\left(34,20\\right),\\left(28,30\\right),\\left(27,28\\right),\\left(18,31\\right),\\left(22,26\\right),\\left(27,26\\right),\\left(26,26\\right),\\left(29,22\\right),\\left(25,21\\right),\\left(19,32\\right),\\left(30,28\\right),\\left(27,27\\right),\\left(28,19\\right),\\left(23,34\\right),\\left(35,28\\right),\\left(31,29\\right),\\left(25,29\\right),\\left(27,26\\right),\\left(28,19\\right),\\left(24,31\\right),\\left(28,20\\right),\\left(25,23\\right),\\left(25,25\\right),\\left(34,23\\right),\\left(33,24\\right),\\left(27,32\\right),\\left(23,33\\right),\\left(31,24\\right),\\left(34,19\\right),\\left(26,27\\right),\\left(30,24\\right),\\left(29,32\\right),\\left(26,30\\right),\\left(26,29\\right),\\left(26,29\\right),\\left(24,29\\right),\\left(28,23\\right),\\left(30,26\\right),\\left(32,28\\right),\\left(25,31\\right),\\left(31,29\\right),\\left(33,25\\right),\\left(30,21\\right),\\left(38,19\\right),\\left(23,32\\right),\\left(32,25\\right),\\left(29,25\\right),\\left(24,26\\right),\\left(34,20\\right),\\left(28,25\\right),\\left(27,30\\right),\\left(21,31\\right),\\left(24,30\\right),\\left(34,25\\right),\\left(34,23\\right),\\left(26,24\\right),\\left(23,31\\right),\\left(25,25\\right),\\left(21,31\\right),\\left(25,31\\right),\\left(25,30\\right),\\left(27,27\\right),\\left(23,29\\right),\\left(30,28\\right),\\left(23,28\\right),\\left(32,25\\right),\\left(27,29\\right),\\left(24,29\\right),\\left(21,29\\right),\\left(34,28\\right),\\left(29,21\\right),\\left(29,22\\right),\\left(23,23\\right),\\left(25,27\\right),\\left(26,26\\right),\\left(25,28\\right),\\left(22,32\\right),\\left(27,24\\right),\\left(17,30\\right),\\left(25,23\\right),\\left(36,17\\right),\\left(22,29\\right),\\left(25,30\\right),\\left(28,26\\right),\\left(28,28\\right),\\left(22,34\\right),\\left(30,23\\right),\\left(29,28\\right),\\left(33,25\\right),\\left(25,31\\right),\\left(24,27\\right),\\left(39,25\\right),\\left(30,21\\right),\\left(28,23\\right),\\left(18,31\\right),\\left(36,25\\right),\\left(27,22\\right),\\left(33,22\\right),\\left(27,22\\right),\\left(31,24\\right),\\left(27,31\\right),\\left(29,29\\right),\\left(23,24\\right),\\left(26,24\\right),\\left(25,27\\right),\\left(33,24\\right),\\left(23,25\\right),\\left(30,22\\right),\\left(26,32\\right),\\left(24,29\\right),\\left(21,28\\right),\\left(30,25\\right),\\left(23,21\\right),\\left(28,29\\right),\\left(23,22\\right),\\left(25,26\\right),\\left(20,33\\right),\\left(34,21\\right),\\left(27,25\\right),\\left(26,32\\right),\\left(27,23\\right),\\left(22,26\\right),\\left(26,30\\right),\\left(28,35\\right),\\left(32,24\\right),\\left(20,36\\right),\\left(32,28\\right),\\left(21,26\\right),\\left(26,24\\right),\\left(22,24\\right),\\left(23,34\\right),\\left(29,19\\right),\\left(22,29\\right),\\left(32,24\\right),\\left(26,28\\right),\\left(32,25\\right),\\left(30,24\\right),\\left(24,28\\right),\\left(21,33\\right),\\left(25,33\\right),\\left(21,27\\right),\\left(28,30\\right),\\left(26,36\\right),\\left(21,29\\right),\\left(32,25\\right),\\left(30,25\\right),\\left(33,21\\right),\\left(24,30\\right),\\left(24,31\\right),\\left(27,36\\right),\\left(37,22\\right),\\left(21,32\\right),\\left(27,30\\right),\\left(24,27\\right),\\left(34,24\\right),\\left(25,22\\right),\\left(31,21\\right),\\left(26,34\\right),\\left(28,30\\right),\\left(30,27\\right),\\left(27,38\\right),\\left(28,27\\right),\\left(27,23\\right),\\left(33,23\\right),\\left(25,30\\right),\\left(36,23\\right),\\left(17,36\\right),\\left(27,24\\right),\\left(26,37\\right),\\left(20,39\\right),\\left(18,38\\right),\\left(26,39\\right),\\left(22,29\\right),\\left(20,32\\right),\\left(31,23\\right),\\left(31,23\\right),\\left(28,27\\right),\\left(31,25\\right),\\left(28,25\\right),\\left(27,30\\right),\\left(25,32\\right),\\left(29,25\\right),\\left(27,25\\right),\\left(23,25\\right),\\left(28,24\\right),\\left(31,25\\right),\\left(28,31\\right),\\left(27,24\\right),\\left(27,26\\right),\\left(22,30\\right),\\left(22,31\\right),\\left(30,26\\right),\\left(33,25\\right),\\left(27,27\\right),\\left(25,33\\right),\\left(29,28\\right),\\left(27,18\\right),\\left(26,24\\right),\\left(24,27\\right),\\left(28,25\\right),\\left(19,35\\right),\\left(30,24\\right),\\left(29,27\\right),\\left(26,24\\right),\\left(26,36\\right),\\left(22,33\\right),\\left(33,22\\right),\\left(27,26\\right),\\left(23,32\\right),\\left(30,25\\right),\\left(26,28\\right),\\left(32,26\\right),\\left(27,26\\right),\\left(24,29\\right),\\left(23,36\\right),\\left(30,23\\right),\\left(25,25\\right),\\left(27,27\\right),\\left(21,34\\right),\\left(25,23\\right),\\left(24,31\\right),\\left(26,29\\right),\\left(25,26\\right),\\left(34,24\\right),\\left(23,33\\right),\\left(29,22\\right),\\left(30,17\\right),\\left(27,28\\right),\\left(24,28\\right),\\left(28,35\\right),\\left(25,33\\right),\\left(19,28\\right),\\left(21,30\\right),\\left(32,20\\right),\\left(22,32\\right),\\left(26,29\\right),\\left(14,36\\right),\\left(26,30\\right),\\left(21,31\\right),\\left(29,17\\right),\\left(23,34\\right),\\left(23,29\\right),\\left(32,26\\right),\\left(28,25\\right),\\left(23,32\\right),\\left(26,24\\right),\\left(19,31\\right),\\left(30,26\\right),\\left(25,34\\right),\\left(27,22\\right),\\left(26,32\\right),\\left(22,27\\right),\\left(24,32\\right),\\left(27,29\\right),\\left(28,27\\right),\\left(27,27\\right),\\left(30,33\\right),\\left(26,30\\right),\\left(30,20\\right),\\left(28,22\\right),\\left(23,32\\right),\\left(30,27\\right),\\left(28,21\\right),\\left(27,28\\right),\\left(20,29\\right),\\left(18,28\\right),\\left(22,30\\right),\\left(28,23\\right),\\left(34,23\\right),\\left(33,23\\right),\\left(30,29\\right),\\left(19,31\\right),\\left(27,27\\right),\\left(28,16\\right),\\left(21,37\\right),\\left(28,26\\right),\\left(33,24\\right),\\left(29,22\\right),\\left(23,25\\right),\\left(34,20\\right),\\left(23,32\\right),\\left(32,24\\right),\\left(25,28\\right),\\left(23,25\\right),\\left(29,19\\right),\\left(27,24\\right),\\left(27,20\\right),\\left(22,30\\right),\\left(21,34\\right),\\left(21,27\\right),\\left(30,32\\right),\\left(31,24\\right),\\left(24,30\\right),\\left(27,29\\right),\\left(25,29\\right),\\left(28,27\\right),\\left(27,27\\right),\\left(20,34\\right),\\left(23,26\\right),\\left(23,30\\right),\\left(30,30\\right),\\left(25,20\\right),\\left(28,30\\right),\\left(31,28\\right),\\left(30,28\\right),\\left(24,24\\right),\\left(22,27\\right),\\left(26,30\\right),\\left(25,24\\right),\\left(28,27\\right),\\left(30,23\\right),\\left(26,26\\right),\\left(23,35\\right),\\left(30,17\\right),\\left(21,35\\right),\\left(22,28\\right),\\left(35,29\\right),\\left(23,24\\right),\\left(27,34\\right),\\left(23,29\\right),\\left(22,29\\right),\\left(30,24\\right),\\left(28,23\\right),\\left(22,37\\right),\\left(30,27\\right),\\left(31,32\\right),\\left(30,25\\right),\\left(23,24\\right),\\left(26,31\\right),\\left(21,24\\right),\\left(24,24\\right),\\left(29,24\\right),\\left(24,23\\right),\\left(31,26\\right),\\left(23,28\\right),\\left(32,22\\right),\\left(27,24\\right),\\left(24,32\\right),\\left(22,26\\right),\\left(32,21\\right),\\left(26,23\\right),\\left(22,27\\right),\\left(34,25\\right),\\left(35,21\\right),\\left(27,29\\right),\\left(28,29\\right),\\left(22,22\\right),\\left(27,25\\right),\\left(31,22\\right),\\left(30,21\\right),\\left(24,24\\right),\\left(26,27\\right),\\left(23,30\\right),\\left(22,29\\right),\\left(25,24\\right),\\left(28,28\\right),\\left(25,26\\right),\\left(25,30\\right),\\left(23,29\\right),\\left(29,24\\right),\\left(25,29\\right),\\left(22,34\\right),\\left(21,35\\right),\\left(27,28\\right),\\left(35,22\\right),\\left(33,14\\right),\\left(29,28\\right),\\left(29,31\\right),\\left(28,32\\right),\\left(21,29\\right),\\left(27,25\\right),\\left(27,25\\right),\\left(32,27\\right),\\left(27,23\\right),\\left(26,28\\right),\\left(24,33\\right),\\left(25,29\\right),\\left(16,37\\right),\\left(24,36\\right),\\left(24,34\\right),\\left(29,33\\right),\\left(23,29\\right),\\left(33,23\\right),\\left(25,33\\right),\\left(27,26\\right),\\left(29,22\\right),\\left(26,28\\right),\\left(29,28\\right),\\left(25,26\\right),\\left(33,24\\right),\\left(32,21\\right),\\left(29,23\\right),\\left(26,26\\right),\\left(18,40\\right),\\left(24,29\\right),\\left(28,26\\right),\\left(19,24\\right),\\left(24,33\\right),\\left(31,25\\right),\\left(27,26\\right),\\left(23,31\\right),\\left(26,19\\right),\\left(30,23\\right),\\left(24,19\\right),\\left(31,20\\right),\\left(30,28\\right),\\left(27,24\\right),\\left(32,25\\right),\\left(21,36\\right),\\left(25,26\\right),\\left(30,23\\right),\\left(17,29\\right),\\left(36,19\\right),\\left(27,31\\right),\\left(28,27\\right),\\left(29,21\\right),\\left(24,28\\right),\\left(23,28\\right),\\left(20,40\\right),\\left(22,33\\right),\\left(24,29\\right),\\left(24,22\\right),\\left(22,31\\right),\\left(23,31\\right),\\left(27,28\\right),\\left(27,27\\right),\\left(31,21\\right),\\left(24,25\\right),\\left(23,28\\right),\\left(29,28\\right),\\left(31,23\\right),\\left(33,23\\right),\\left(28,24\\right),\\left(25,24\\right),\\left(27,30\\right),\\left(33,22\\right),\\left(32,21\\right),\\left(30,27\\right),\\left(20,28\\right),\\left(32,23\\right),\\left(28,25\\right),\\left(23,31\\right),\\left(36,24\\right),\\left(29,28\\right),\\left(26,23\\right),\\left(29,27\\right),\\left(26,24\\right),\\left(20,27\\right),\\left(25,33\\right),\\left(25,30\\right),\\left(33,21\\right),\\left(19,24\\right),\\left(21,29\\right),\\left(29,24\\right),\\left(20,33\\right),\\left(31,23\\right),\\left(20,32\\right),\\left(29,26\\right),\\left(28,23\\right),\\left(31,27\\right),\\left(32,23\\right),\\left(25,20\\right),\\left(28,25\\right),\\left(31,29\\right),\\left(24,32\\right),\\left(27,29\\right),\\left(21,30\\right),\\left(29,29\\right),\\left(26,30\\right),\\left(20,29\\right),\\left(21,26\\right),\\left(24,34\\right),\\left(30,26\\right),\\left(27,24\\right),\\left(23,25\\right),\\left(24,28\\right),\\left(34,27\\right),\\left(27,33\\right),\\left(37,23\\right),\\left(35,22\\right),\\left(29,31\\right),\\left(28,29\\right),\\left(29,24\\right),\\left(28,27\\right),\\left(28,33\\right),\\left(27,22\\right),\\left(34,26\\right),\\left(26,24\\right),\\left(25,28\\right),\\left(27,29\\right),\\left(30,20\\right),\\left(25,27\\right),\\left(29,28\\right),\\left(32,23\\right),\\left(28,19\\right),\\left(27,29\\right),\\left(32,26\\right),\\left(19,28\\right),\\left(26,26\\right),\\left(28,32\\right),\\left(26,26\\right),\\left(26,26\\right),\\left(29,23\\right),\\left(21,28\\right),\\left(32,23\\right),\\left(26,23\\right),\\left(24,29\\right),\\left(20,30\\right),\\left(25,30\\right),\\left(25,22\\right),\\left(28,30\\right),\\left(30,28\\right),\\left(26,26\\right),\\left(22,29\\right),\\left(27,18\\right),\\left(33,21\\right),\\left(20,33\\right),\\left(25,32\\right),\\left(26,28\\right),\\left(30,25\\right),\\left(23,24\\right),\\left(26,28\\right),\\left(26,31\\right),\\left(29,23\\right),\\left(29,19\\right),\\left(28,27\\right),\\left(25,36\\right),\\left(25,21\\right),\\left(25,32\\right),\\left(27,31\\right),\\left(33,29\\right),\\left(25,27\\right),\\left(26,27\\right),\\left(19,28\\right),\\left(26,25\\right),\\left(30,25\\right),\\left(27,17\\right),\\left(26,28\\right),\\left(25,32\\right),\\left(23,29\\right),\\left(20,31\\right),\\left(22,32\\right),\\left(23,30\\right),\\left(31,26\\right),\\left(28,25\\right),\\left(20,25\\right),\\left(25,30\\right),\\left(15,33\\right),\\left(33,26\\right),\\left(29,20\\right),\\left(23,23\\right),\\left(29,21\\right),\\left(21,27\\right),\\left(30,26\\right),\\left(28,33\\right),\\left(23,29\\right),\\left(24,28\\right),\\left(26,27\\right),\\left(34,26\\right),\\left(24,21\\right),\\left(28,27\\right),\\left(21,29\\right),\\left(27,33\\right),\\left(30,29\\right),\\left(26,29\\right),\\left(26,26\\right),\\left(28,24\\right),\\left(34,19\\right),\\left(23,31\\right),\\left(30,25\\right),\\left(20,35\\right),\\left(25,30\\right),\\left(29,32\\right),\\left(22,29\\right),\\left(27,28\\right),\\left(32,23\\right),\\left(23,28\\right),\\left(28,29\\right),\\left(35,24\\right),\\left(27,28\\right),\\left(32,25\\right),\\left(28,23\\right),\\left(25,24\\right),\\left(29,21\\right),\\left(24,32\\right),\\left(25,24\\right),\\left(18,26\\right),\\left(33,26\\right),\\left(30,26\\right),\\left(28,25\\right),\\left(25,29\\right),\\left(23,21\\right),\\left(21,32\\right),\\left(29,21\\right),\\left(24,30\\right),\\left(37,24\\right),\\left(27,30\\right),\\left(25,26\\right),\\left(27,24\\right),\\left(21,30\\right),\\left(37,20\\right),\\left(32,25\\right),\\left(26,21\\right),\\left(21,34\\right),\\left(30,29\\right),\\left(26,26\\right),\\left(23,36\\right),\\left(22,35\\right),\\left(27,25\\right),\\left(31,23\\right),\\left(30,28\\right),\\left(27,25\\right),\\left(24,30\\right),\\left(39,21\\right),\\left(27,32\\right),\\left(30,24\\right),\\left(23,31\\right),\\left(24,26\\right),\\left(24,27\\right),\\left(31,22\\right),\\left(39,25\\right),\\left(31,25\\right),\\left(21,37\\right),\\left(22,30\\right),\\left(24,36\\right),\\left(28,24\\right),\\left(28,22\\right),\\left(28,23\\right),\\left(26,26\\right),\\left(30,25\\right),\\left(21,35\\right),\\left(27,27\\right),\\left(22,29\\right),\\left(25,33\\right),\\left(20,32\\right),\\left(32,22\\right),\\left(30,20\\right),\\left(22,34\\right),\\left(24,22\\right),\\left(24,28\\right),\\left(23,29\\right),\\left(24,26\\right),\\left(28,25\\right),\\left(32,23\\right),\\left(31,24\\right),\\left(27,29\\right),\\left(17,27\\right),\\left(22,28\\right),\\left(32,24\\right),\\left(21,31\\right),\\left(24,30\\right),\\left(26,28\\right),\\left(37,24\\right),\\left(29,21\\right),\\left(23,21\\right),\\left(27,27\\right),\\left(26,26\\right),\\left(21,22\\right),\\left(27,27\\right),\\left(33,20\\right),\\left(25,22\\right),\\left(17,27\\right),\\left(27,32\\right),\\left(26,28\\right),\\left(29,23\\right),\\left(25,25\\right),\\left(21,34\\right),\\left(33,26\\right),\\left(31,24\\right),\\left(24,28\\right),\\left(22,31\\right),\\left(29,23\\right),\\left(31,28\\right),\\left(30,23\\right),\\left(30,26\\right),\\left(27,26\\right),\\left(29,23\\right),\\left(34,27\\right),\\left(18,34\\right),\\left(28,28\\right),\\left(35,23\\right),\\left(33,27\\right),\\left(24,24\\right),\\left(30,26\\right),\\left(27,29\\right),\\left(22,28\\right),\\left(21,33\\right),\\left(29,24\\right),\\left(29,18\\right),\\left(31,26\\right),\\left(32,20\\right),\\left(21,25\\right),\\left(20,25\\right),\\left(28,25\\right),\\left(26,22\\right),\\left(24,24\\right),\\left(28,25\\right),\\left(29,29\\right),\\left(34,22\\right),\\left(32,23\\right),\\left(23,32\\right),\\left(28,28\\right),\\left(29,31\\right),\\left(26,21\\right),\\left(26,22\\right),\\left(28,27\\right),\\left(34,19\\right),\\left(25,26\\right),\\left(28,31\\right),\\left(24,30\\right),\\left(28,29\\right),\\left(24,27\\right),\\left(23,25\\right),\\left(33,27\\right),\\left(26,26\\right),\\left(29,18\\right),\\left(31,26\\right),\\left(31,24\\right),\\left(31,20\\right),\\left(21,33\\right),\\left(24,28\\right),\\left(22,34\\right),\\left(24,30\\right),\\left(32,15\\right),\\left(25,30\\right),\\left(31,25\\right),\\left(27,24\\right),\\left(28,28\\right),\\left(30,19\\right),\\left(39,23\\right),\\left(18,24\\right),\\left(22,24\\right),\\left(18,27\\right),\\left(36,25\\right),\\left(29,26\\right),\\left(31,24\\right),\\left(29,23\\right),\\left(26,23\\right),\\left(26,28\\right),\\left(23,26\\right),\\left(28,25\\right),\\left(26,27\\right),\\left(20,37\\right),\\left(23,26\\right),\\left(28,25\\right),\\left(31,29\\right),\\left(28,32\\right),\\left(34,24\\right),\\left(23,29\\right),\\left(32,29\\right),\\left(31,23\\right),\\left(32,23\\right),\\left(25,26\\right),\\left(23,25\\right),\\left(28,34\\right),\\left(28,19\\right),\\left(23,28\\right),\\left(19,28\\right),\\left(28,32\\right),\\left(22,32\\right),\\left(24,27\\right),\\left(29,26\\right),\\left(15,28\\right),\\left(31,29\\right),\\left(25,22\\right),\\left(28,26\\right),\\left(26,32\\right),\\left(23,23\\right),\\left(23,33\\right),\\left(24,24\\right),\\left(26,28\\right),\\left(30,27\\right),\\left(28,25\\right),\\left(25,23\\right),\\left(30,23\\right),\\left(37,22\\right),\\left(24,37\\right),\\left(26,27\\right),\\left(25,35\\right),\\left(22,30\\right),\\left(24,31\\right),\\left(25,29\\right),\\left(30,24\\right),\\left(32,24\\right),\\left(29,28\\right),\\left(23,30\\right),\\left(23,31\\right),\\left(24,34\\right),\\left(38,23\\right),\\left(29,30\\right),\\left(27,25\\right),\\left(25,22\\right),\\left(24,24\\right),\\left(31,26\\right),\\left(24,33\\right),\\left(25,32\\right),\\left(22,22\\right),\\left(26,21\\right),\\left(29,24\\right),\\left(24,27\\right),\\left(22,27\\right),\\left(22,24\\right),\\left(27,30\\right),\\left(30,24\\right),\\left(15,32\\right),\\left(24,31\\right),\\left(30,24\\right),\\left(24,23\\right),\\left(28,29\\right),\\left(24,31\\right),\\left(33,22\\right),\\left(30,24\\right),\\left(22,23\\right),\\left(28,24\\right),\\left(30,25\\right),\\left(24,28\\right),\\left(27,24\\right),\\left(35,21\\right),\\left(24,27\\right),\\left(23,31\\right),\\left(32,26\\right),\\left(24,27\\right),\\left(25,29\\right),\\left(26,29\\right),\\left(26,24\\right),\\left(27,27\\right),\\left(23,25\\right),\\left(24,28\\right),\\left(18,34\\right),\\left(31,24\\right),\\left(29,28\\right),\\left(29,30\\right),\\left(20,30\\right),\\left(31,28\\right),\\left(21,24\\right),\\left(23,26\\right),\\left(22,28\\right),\\left(31,25\\right),\\left(24,21\\right),\\left(29,26\\right),\\left(30,22\\right),\\left(29,24\\right),\\left(31,18\\right),\\left(29,21\\right),\\left(24,29\\right),\\left(30,21\\right),\\left(21,40\\right),\\left(33,22\\right),\\left(22,28\\right),\\left(30,25\\right),\\left(34,21\\right),\\left(29,21\\right),\\left(28,24\\right),\\left(29,24\\right),\\left(25,25\\right),\\left(34,28\\right),\\left(28,26\\right),\\left(24,24\\right),\\left(27,19\\right),\\left(23,22\\right),\\left(22,23\\right),\\left(26,21\\right),\\left(27,28\\right),\\left(27,25\\right),\\left(25,24\\right),\\left(22,33\\right),\\left(33,23\\right),\\left(22,35\\right),\\left(24,30\\right),\\left(35,26\\right),\\left(26,23\\right),\\left(24,33\\right),\\left(31,26\\right),\\left(28,23\\right),\\left(29,27\\right),\\left(16,34\\right),\\left(25,33\\right),\\left(31,25\\right),\\left(23,26\\right),\\left(25,27\\right),\\left(30,25\\right),\\left(25,29\\right),\\left(27,28\\right),\\left(30,34\\right),\\left(35,29\\right),\\left(21,27\\right),\\left(22,28\\right),\\left(33,17\\right),\\left(18,32\\right),\\left(25,24\\right),\\left(22,21\\right),\\left(29,18\\right),\\left(21,25\\right),\\left(27,26\\right),\\left(21,29\\right),\\left(22,24\\right),\\left(23,26\\right),\\left(23,26\\right),\\left(32,31\\right),\\left(28,26\\right),\\left(23,29\\right),\\left(21,34\\right),\\left(17,34\\right),\\left(30,24\\right),\\left(31,22\\right),\\left(30,21\\right),\\left(31,26\\right),\\left(20,34\\right),\\left(31,25\\right),\\left(25,30\\right),\\left(33,24\\right),\\left(17,35\\right),\\left(24,28\\right),\\left(23,32\\right),\\left(29,26\\right),\\left(24,31\\right),\\left(24,34\\right),\\left(34,21\\right),\\left(21,30\\right),\\left(25,26\\right),\\left(22,32\\right),\\left(23,26\\right),\\left(28,19\\right),\\left(23,32\\right),\\left(28,25\\right),\\left(22,25\\right),\\left(26,23\\right),\\left(30,25\\right),\\left(34,26\\right),\\left(21,30\\right),\\left(30,23\\right),\\left(29,24\\right),\\left(24,24\\right),\\left(28,25\\right),\\left(30,25\\right),\\left(24,26\\right),\\left(27,29\\right),\\left(30,19\\right),\\left(19,29\\right),\\left(26,26\\right),\\left(26,29\\right),\\left(20,28\\right),\\left(28,26\\right),\\left(29,27\\right),\\left(22,27\\right),\\left(29,30\\right),\\left(35,22\\right),\\left(25,27\\right),\\left(24,24\\right),\\left(19,24\\right),\\left(29,30\\right),\\left(22,34\\right),\\left(16,28\\right),\\left(35,15\\right),\\left(31,26\\right),\\left(32,26\\right),\\left(24,27\\right),\\left(23,34\\right),\\left(26,26\\right),\\left(26,30\\right),\\left(21,26\\right),\\left(24,32\\right),\\left(22,32\\right),\\left(30,24\\right),\\left(20,25\\right),\\left(33,18\\right),\\left(32,23\\right),\\left(23,27\\right),\\left(21,27\\right),\\left(27,24\\right),\\left(25,32\\right),\\left(25,33\\right),\\left(21,27\\right),\\left(29,29\\right),\\left(33,24\\right),\\left(23,25\\right),\\left(23,30\\right),\\left(25,27\\right),\\left(29,27\\right),\\left(28,28\\right),\\left(29,26\\right),\\left(28,27\\right),\\left(32,29\\right),\\left(24,22\\right),\\left(22,28\\right),\\left(26,25\\right),\\left(22,27\\right),\\left(26,29\\right),\\left(19,31\\right),\\left(28,24\\right),\\left(32,28\\right),\\left(33,24\\right),\\left(22,27\\right),\\left(28,24\\right),\\left(23,33\\right),\\left(25,26\\right),\\left(27,24\\right),\\left(21,27\\right),\\left(30,19\\right),\\left(33,24\\right),\\left(30,23\\right),\\left(33,21\\right),\\left(22,35\\right),\\left(25,26\\right),\\left(25,26\\right),\\left(26,24\\right),\\left(27,25\\right),\\left(27,27\\right),\\left(27,29\\right),\\left(23,30\\right),\\left(36,21\\right),\\left(25,34\\right),\\left(39,24\\right),\\left(24,21\\right),\\left(28,24\\right),\\left(25,28\\right),\\left(27,26\\right),\\left(24,23\\right),\\left(25,29\\right),\\left(29,27\\right),\\left(30,18\\right),\\left(26,32\\right),\\left(23,25\\right),\\left(23,30\\right),\\left(23,28\\right),\\left(26,26\\right),\\left(27,24\\right),\\left(28,20\\right),\\left(27,31\\right),\\left(32,17\\right),\\left(25,26\\right),\\left(34,21\\right),\\left(35,22\\right),\\left(23,26\\right),\\left(31,22\\right),\\left(34,20\\right),\\left(33,24\\right),\\left(25,26\\right),\\left(28,26\\right),\\left(26,30\\right),\\left(30,25\\right),\\left(32,23\\right),\\left(30,24\\right),\\left(30,25\\right),\\left(30,19\\right),\\left(25,21\\right),\\left(22,31\\right),\\left(24,31\\right),\\left(31,20\\right),\\left(32,19\\right),\\left(29,25\\right),\\left(24,29\\right),\\left(20,27\\right),\\left(30,24\\right),\\left(35,22\\right),\\left(25,29\\right),\\left(29,36\\right),\\left(22,26\\right),\\left(27,27\\right),\\left(15,39\\right),\\left(27,30\\right),\\left(25,28\\right),\\left(24,26\\right),\\left(28,27\\right),\\left(27,22\\right),\\left(31,27\\right),\\left(31,22\\right),\\left(33,23\\right),\\left(27,25\\right),\\left(16,40\\right),\\left(20,23\\right),\\left(18,30\\right),\\left(27,26\\right),\\left(23,35\\right),\\left(28,26\\right),\\left(26,26\\right),\\left(37,27\\right),\\left(30,28\\right),\\left(32,20\\right),\\left(26,24\\right),\\left(25,30\\right),\\left(30,25\\right),\\left(33,27\\right),\\left(28,25\\right),\\left(23,29\\right),\\left(28,29\\right),\\left(23,26\\right),\\left(23,22\\right),\\left(26,32\\right),\\left(20,27\\right),\\left(28,23\\right),\\left(28,30\\right),\\left(26,29\\right),\\left(21,33\\right),\\left(23,29\\right),\\left(24,31\\right),\\left(26,24\\right),\\left(30,25\\right),\\left(32,27\\right),\\left(24,33\\right),\\left(24,23\\right),\\left(30,26\\right),\\left(22,33\\right),\\left(21,32\\right),\\left(25,22\\right),\\left(29,28\\right),\\left(33,26\\right),\\left(21,31\\right),\\left(26,26\\right),\\left(27,26\\right),\\left(24,28\\right),\\left(34,26\\right),\\left(23,26\\right),\\left(24,26\\right),\\left(27,33\\right),\\left(28,28\\right),\\left(25,29\\right),\\left(27,24\\right),\\left(29,25\\right),\\left(28,22\\right),\\left(26,28\\right),\\left(27,26\\right),\\left(31,28\\right),\\left(31,30\\right),\\left(26,29\\right),\\left(30,22\\right),\\left(29,30\\right),\\left(26,32\\right),\\left(28,26\\right),\\left(29,27\\right),\\left(22,31\\right),\\left(19,37\\right),\\left(23,27\\right),\\left(30,30\\right),\\left(33,23\\right),\\left(24,25\\right),\\left(25,27\\right),\\left(28,28\\right),\\left(24,24\\right),\\left(27,24\\right),\\left(26,28\\right),\\left(31,26\\right),\\left(23,36\\right),\\left(29,22\\right),\\left(26,19\\right),\\left(23,23\\right),\\left(23,31\\right),\\left(30,20\\right),\\left(30,24\\right),\\left(26,23\\right),\\left(21,28\\right),\\left(31,32\\right),\\left(29,21\\right),\\left(28,24\\right),\\left(22,26\\right),\\left(21,34\\right),\\left(29,30\\right),\\left(25,25\\right),\\left(24,29\\right),\\left(25,22\\right),\\left(33,22\\right),\\left(28,27\\right),\\left(27,33\\right),\\left(24,27\\right),\\left(28,22\\right),\\left(31,20\\right),\\left(32,24\\right),\\left(27,22\\right),\\left(34,19\\right),\\left(27,26\\right),\\left(26,29\\right),\\left(23,27\\right),\\left(20,32\\right),\\left(28,25\\right),\\left(24,30\\right),\\left(25,31\\right),\\left(24,33\\right),\\left(22,35\\right),\\left(24,19\\right),\\left(28,20\\right),\\left(22,27\\right),\\left(27,27\\right),\\left(28,21\\right),\\left(25,28\\right),\\left(35,25\\right),\\left(29,31\\right),\\left(22,31\\right),\\left(32,25\\right),\\left(30,20\\right),\\left(31,27\\right),\\left(33,24\\right),\\left(25,24\\right),\\left(26,23\\right),\\left(27,19\\right),\\left(33,27\\right),\\left(28,23\\right),\\left(26,30\\right),\\left(35,28\\right),\\left(31,24\\right),\\left(30,20\\right),\\left(28,27\\right),\\left(33,24\\right),\\left(23,37\\right),\\left(26,27\\right),\\left(29,21\\right),\\left(27,22\\right),\\left(29,29\\right),\\left(28,30\\right),\\left(31,22\\right),\\left(21,31\\right),\\left(24,24\\right),\\left(25,29\\right),\\left(25,27\\right),\\left(26,24\\right),\\left(25,36\\right),\\left(19,26\\right),\\left(20,29\\right),\\left(30,26\\right),\\left(34,27\\right),\\left(31,22\\right),\\left(26,28\\right),\\left(27,29\\right),\\left(19,27\\right),\\left(21,38\\right),\\left(27,25\\right),\\left(31,20\\right),\\left(23,27\\right),\\left(24,25\\right),\\left(25,31\\right),\\left(23,29\\right),\\left(20,28\\right),\\left(26,23\\right),\\left(25,30\\right),\\left(30,26\\right),\\left(20,27\\right),\\left(30,23\\right),\\left(27,26\\right),\\left(34,19\\right),\\left(32,27\\right),\\left(15,38\\right),\\left(26,32\\right),\\left(29,30\\right),\\left(20,27\\right),\\left(23,29\\right),\\left(30,27\\right),\\left(30,22\\right),\\left(32,22\\right),\\left(30,32\\right),\\left(36,21\\right),\\left(28,26\\right),\\left(29,26\\right),\\left(24,21\\right),\\left(20,34\\right),\\left(24,29\\right),\\left(25,28\\right),\\left(27,25\\right),\\left(20,32\\right),\\left(25,30\\right),\\left(21,30\\right),\\left(23,32\\right),\\left(24,23\\right),\\left(26,30\\right),\\left(25,24\\right),\\left(23,26\\right),\\left(24,24\\right),\\left(21,29\\right),\\left(22,28\\right),\\left(35,25\\right),\\left(20,29\\right),\\left(28,31\\right),\\left(29,28\\right),\\left(20,30\\right),\\left(24,28\\right),\\left(28,29\\right),\\left(29,28\\right),\\left(22,27\\right),\\left(20,34\\right),\\left(26,30\\right),\\left(26,36\\right),\\left(31,17\\right),\\left(31,22\\right),\\left(26,30\\right),\\left(26,26\\right),\\left(27,27\\right),\\left(31,27\\right),\\left(31,27\\right),\\left(23,30\\right),\\left(36,23\\right),\\left(28,27\\right),\\left(30,22\\right),\\left(25,25\\right),\\left(20,30\\right),\\left(30,30\\right),\\left(26,27\\right),\\left(29,18\\right),\\left(23,30\\right),\\left(22,33\\right),\\left(31,23\\right),\\left(29,30\\right),\\left(28,27\\right),\\left(35,24\\right),\\left(25,31\\right),\\left(21,27\\right),\\left(23,31\\right),\\left(28,26\\right),\\left(19,30\\right),\\left(27,29\\right),\\left(23,27\\right),\\left(26,20\\right),\\left(34,23\\right),\\left(25,33\\right),\\left(22,31\\right),\\left(36,23\\right),\\left(15,37\\right),\\left(27,25\\right),\\left(23,29\\right),\\left(27,27\\right),\\left(23,26\\right),\\left(33,18\\right),\\left(34,21\\right),\\left(27,26\\right),\\left(21,29\\right),\\left(24,35\\right),\\left(23,35\\right),\\left(32,24\\right),\\left(21,28\\right),\\left(20,31\\right),\\left(29,25\\right),\\left(30,26\\right),\\left(28,27\\right),\\left(21,25\\right),\\left(26,29\\right),\\left(18,36\\right),\\left(24,35\\right),\\left(32,24\\right),\\left(27,25\\right),\\left(25,27\\right),\\left(27,28\\right),\\left(21,34\\right),\\left(24,31\\right),\\left(25,31\\right),\\left(28,22\\right),\\left(29,24\\right),\\left(24,29\\right),\\left(28,21\\right),\\left(29,21\\right),\\left(31,24\\right),\\left(23,25\\right),\\left(17,30\\right),\\left(25,31\\right),\\left(24,27\\right),\\left(20,27\\right),\\left(35,25\\right),\\left(32,22\\right),\\left(23,35\\right),\\left(27,32\\right),\\left(25,26\\right),\\left(28,24\\right),\\left(31,21\\right),\\left(36,20\\right),\\left(26,32\\right),\\left(19,31\\right),\\left(33,20\\right),\\left(36,17\\right),\\left(23,25\\right),\\left(30,24\\right),\\left(26,29\\right),\\left(33,28\\right),\\left(23,29\\right),\\left(26,26\\right),\\left(22,31\\right),\\left(25,30\\right),\\left(24,24\\right),\\left(29,24\\right),\\left(30,28\\right),\\left(32,22\\right),\\left(20,26\\right),\\left(30,28\\right),\\left(24,29\\right),\\left(29,23\\right),\\left(31,23\\right),\\left(26,25\\right),\\left(24,27\\right),\\left(20,32\\right),\\left(21,33\\right),\\left(26,32\\right),\\left(32,20\\right),\\left(27,31\\right),\\left(27,29\\right),\\left(23,23\\right),\\left(29,27\\right),\\left(25,35\\right),\\left(26,28\\right),\\left(29,30\\right),\\left(27,27\\right),\\left(33,22\\right),\\left(25,25\\right),\\left(33,25\\right),\\left(23,24\\right),\\left(23,39\\right),\\left(19,36\\right),\\left(19,32\\right),\\left(24,29\\right),\\left(27,31\\right),\\left(24,29\\right),\\left(25,22\\right),\\left(29,25\\right),\\left(25,32\\right),\\left(29,23\\right),\\left(31,30\\right),\\left(28,29\\right),\\left(25,29\\right),\\left(26,25\\right),\\left(29,30\\right),\\left(26,29\\right),\\left(36,13\\right),\\left(34,30\\right),\\left(28,29\\right),\\left(20,37\\right),\\left(28,23\\right),\\left(25,25\\right),\\left(32,24\\right),\\left(32,20\\right),\\left(36,18\\right),\\left(21,29\\right),\\left(27,27\\right),\\left(23,28\\right),\\left(25,25\\right),\\left(24,26\\right),\\left(27,21\\right),\\left(31,30\\right),\\left(27,23\\right),\\left(24,22\\right),\\left(26,31\\right),\\left(28,26\\right),\\left(23,26\\right),\\left(29,25\\right),\\left(24,27\\right),\\left(26,33\\right),\\left(20,35\\right),\\left(27,29\\right),\\left(31,25\\right),\\left(30,25\\right),\\left(25,26\\right),\\left(23,29\\right),\\left(29,23\\right),\\left(27,21\\right),\\left(34,21\\right),\\left(29,25\\right),\\left(28,27\\right),\\left(28,23\\right),\\left(29,25\\right),\\left(24,33\\right),\\left(24,33\\right),\\left(30,29\\right),\\left(23,27\\right),\\left(20,24\\right),\\left(25,28\\right),\\left(26,31\\right),\\left(33,23\\right),\\left(25,28\\right),\\left(27,24\\right),\\left(23,35\\right),\\left(24,23\\right),\\left(37,18\\right),\\left(28,25\\right),\\left(25,22\\right),\\left(33,26\\right),\\left(22,36\\right),\\left(24,29\\right),\\left(23,29\\right),\\left(29,19\\right),\\left(23,31\\right),\\left(28,33\\right),\\left(20,31\\right),\\left(27,23\\right),\\left(31,20\\right),\\left(24,27\\right),\\left(28,29\\right),\\left(28,29\\right),\\left(21,22\\right),\\left(19,32\\right),\\left(24,25\\right),\\left(29,29\\right),\\left(35,25\\right),\\left(28,27\\right),\\left(23,24\\right),\\left(27,30\\right),\\left(17,33\\right),\\left(32,27\\right),\\left(28,23\\right),\\left(36,24\\right),\\left(24,25\\right),\\left(22,27\\right),\\left(26,25\\right),\\left(30,30\\right),\\left(27,32\\right),\\left(33,23\\right),\\left(28,30\\right),\\left(33,23\\right),\\left(28,23\\right),\\left(27,29\\right),\\left(20,33\\right),\\left(24,32\\right),\\left(29,26\\right),\\left(29,24\\right),\\left(29,31\\right),\\left(23,23\\right),\\left(31,24\\right),\\left(22,37\\right),\\left(29,25\\right),\\left(26,31\\right),\\left(24,27\\right),\\left(29,26\\right),\\left(31,31\\right),\\left(32,17\\right),\\left(26,30\\right),\\left(23,24\\right),\\left(30,23\\right),\\left(28,23\\right),\\left(24,30\\right),\\left(26,30\\right),\\left(30,21\\right),\\left(23,30\\right),\\left(37,18\\right),\\left(27,29\\right),\\left(25,27\\right),\\left(30,26\\right),\\left(30,26\\right),\\left(18,31\\right),\\left(27,24\\right),\\left(24,28\\right),\\left(30,23\\right),\\left(25,26\\right),\\left(25,26\\right),\\left(29,17\\right),\\left(23,29\\right),\\left(34,26\\right),\\left(29,23\\right),\\left(27,24\\right),\\left(23,30\\right),\\left(32,26\\right),\\left(21,29\\right),\\left(38,21\\right),\\left(18,27\\right),\\left(26,26\\right),\\left(26,27\\right),\\left(28,27\\right),\\left(25,29\\right),\\left(24,28\\right),\\left(25,29\\right),\\left(20,34\\right),\\left(31,27\\right),\\left(29,27\\right),\\left(30,24\\right),\\left(21,29\\right),\\left(29,27\\right),\\left(33,24\\right),\\left(25,25\\right),\\left(27,27\\right),\\left(26,30\\right),\\left(23,25\\right),\\left(25,24\\right),\\left(24,27\\right),\\left(25,22\\right),\\left(33,19\\right),\\left(25,21\\right),\\left(23,24\\right),\\left(30,24\\right),\\left(29,22\\right),\\left(32,22\\right),\\left(27,24\\right),\\left(21,26\\right),\\left(22,34\\right),\\left(41,19\\right),\\left(29,31\\right),\\left(17,28\\right),\\left(22,30\\right),\\left(27,22\\right),\\left(26,31\\right),\\left(31,26\\right),\\left(28,23\\right),\\left(31,30\\right),\\left(28,25\\right),\\left(29,27\\right),\\left(28,24\\right),\\left(23,27\\right),\\left(31,29\\right),\\left(32,24\\right),\\left(22,34\\right),\\left(23,27\\right),\\left(28,28\\right),\\left(29,34\\right),\\left(24,29\\right),\\left(29,24\\right),\\left(28,23\\right),\\left(27,24\\right),\\left(23,30\\right),\\left(30,25\\right),\\left(25,24\\right),\\left(22,30\\right),\\left(23,28\\right),\\left(20,27\\right),\\left(21,28\\right),\\left(25,28\\right),\\left(30,26\\right),\\left(23,27\\right),\\left(33,29\\right),\\left(22,25\\right),\\left(33,26\\right),\\left(23,24\\right),\\left(23,34\\right),\\left(26,30\\right),\\left(28,24\\right),\\left(26,28\\right),\\left(28,30\\right),\\left(23,27\\right),\\left(24,27\\right),\\left(27,27\\right),\\left(25,31\\right),\\left(32,28\\right),\\left(24,19\\right),\\left(22,31\\right),\\left(27,30\\right),\\left(27,23\\right),\\left(25,31\\right),\\left(24,34\\right),\\left(30,22\\right),\\left(25,27\\right),\\left(29,27\\right),\\left(28,30\\right),\\left(34,21\\right),\\left(28,24\\right),\\left(24,26\\right),\\left(26,28\\right),\\left(34,25\\right),\\left(32,21\\right),\\left(25,29\\right),\\left(35,19\\right),\\left(27,31\\right),\\left(26,27\\right),\\left(32,27\\right),\\left(26,30\\right),\\left(29,20\\right),\\left(31,22\\right),\\left(29,20\\right),\\left(23,25\\right),\\left(25,32\\right),\\left(25,32\\right),\\left(30,25\\right),\\left(33,26\\right),\\left(30,28\\right),\\left(29,26\\right),\\left(27,31\\right),\\left(24,31\\right),\\left(26,27\\right),\\left(21,33\\right),\\left(27,29\\right),\\left(26,25\\right),\\left(20,32\\right),\\left(32,30\\right),\\left(26,27\\right),\\left(30,24\\right),\\left(31,26\\right),\\left(30,20\\right),\\left(22,30\\right),\\left(18,30\\right),\\left(24,28\\right),\\left(21,30\\right),\\left(26,28\\right),\\left(27,22\\right),\\left(25,27\\right),\\left(31,26\\right),\\left(24,28\\right),\\left(21,24\\right),\\left(30,26\\right),\\left(27,25\\right),\\left(22,28\\right),\\left(29,24\\right),\\left(26,26\\right),\\left(17,33\\right),\\left(29,22\\right),\\left(26,33\\right),\\left(24,31\\right),\\left(30,18\\right),\\left(21,26\\right),\\left(33,25\\right),\\left(28,34\\right),\\left(22,29\\right),\\left(30,22\\right),\\left(20,31\\right),\\left(20,30\\right),\\left(26,23\\right),\\left(25,30\\right),\\left(27,28\\right),\\left(21,26\\right),\\left(32,26\\right),\\left(36,25\\right),\\left(27,24\\right),\\left(20,32\\right),\\left(24,28\\right),\\left(30,28\\right),\\left(23,29\\right),\\left(31,19\\right),\\left(22,27\\right),\\left(23,25\\right),\\left(28,27\\right),\\left(32,25\\right),\\left(30,23\\right),\\left(26,34\\right),\\left(22,30\\right),\\left(27,25\\right),\\left(25,26\\right),\\left(30,22\\right),\\left(27,32\\right),\\left(29,28\\right),\\left(29,22\\right),\\left(29,26\\right),\\left(31,26\\right),\\left(24,26\\right),\\left(25,30\\right),\\left(33,19\\right),\\left(25,32\\right),\\left(22,34\\right),\\left(27,21\\right),\\left(29,26\\right),\\left(20,29\\right),\\left(32,26\\right),\\left(21,33\\right),\\left(28,29\\right),\\left(30,29\\right),\\left(23,28\\right),\\left(22,28\\right),\\left(22,24\\right),\\left(21,28\\right),\\left(23,34\\right),\\left(31,29\\right),\\left(21,26\\right),\\left(33,22\\right),\\left(24,31\\right),\\left(31,24\\right),\\left(22,27\\right),\\left(21,26\\right),\\left(32,30\\right),\\left(29,25\\right),\\left(24,30\\right),\\left(29,22\\right),\\left(28,22\\right),\\left(28,23\\right),\\left(32,22\\right),\\left(29,22\\right),\\left(24,20\\right),\\left(23,34\\right),\\left(38,14\\right),\\left(28,29\\right),\\left(18,30\\right),\\left(30,24\\right),\\left(27,28\\right),\\left(23,33\\right),\\left(24,25\\right),\\left(23,33\\right),\\left(24,27\\right),\\left(24,25\\right),\\left(26,31\\right),\\left(28,28\\right),\\left(29,21\\right),\\left(24,28\\right),\\left(27,24\\right),\\left(18,30\\right),\\left(29,27\\right),\\left(25,32\\right),\\left(28,30\\right),\\left(31,21\\right),\\left(19,30\\right),\\left(22,25\\right),\\left(25,31\\right),\\left(25,28\\right),\\left(28,21\\right),\\left(28,31\\right),\\left(29,30\\right),\\left(26,23\\right),\\left(21,28\\right),\\left(24,37\\right),\\left(33,24\\right),\\left(33,26\\right),\\left(26,32\\right),\\left(32,29\\right),\\left(26,26\\right),\\left(29,24\\right),\\left(28,28\\right),\\left(27,28\\right),\\left(25,25\\right),\\left(23,29\\right),\\left(18,28\\right),\\left(25,32\\right),\\left(23,20\\right),\\left(25,30\\right),\\left(24,31\\right),\\left(26,29\\right),\\left(24,24\\right),\\left(28,24\\right),\\left(30,25\\right),\\left(31,26\\right),\\left(25,38\\right),\\left(22,29\\right),\\left(23,33\\right),\\left(27,28\\right),\\left(30,25\\right),\\left(27,22\\right),\\left(27,27\\right),\\left(24,30\\right),\\left(21,31\\right),\\left(21,26\\right),\\left(25,29\\right),\\left(27,29\\right),\\left(30,25\\right),\\left(22,28\\right),\\left(27,26\\right),\\left(20,38\\right),\\left(31,27\\right),\\left(20,34\\right),\\left(26,27\\right),\\left(24,31\\right),\\left(27,32\\right),\\left(30,28\\right),\\left(30,25\\right),\\left(29,25\\right),\\left(16,29\\right),\\left(23,30\\right),\\left(22,29\\right),\\left(33,28\\right),\\left(19,28\\right),\\left(25,28\\right),\\left(25,28\\right),\\left(16,31\\right),\\left(29,26\\right),\\left(26,26\\right),\\left(29,24\\right),\\left(30,29\\right),\\left(23,24\\right),\\left(25,38\\right),\\left(23,24\\right),\\left(35,22\\right),\\left(29,25\\right),\\left(23,29\\right),\\left(26,28\\right),\\left(27,30\\right),\\left(27,22\\right),\\left(28,21\\right),\\left(28,29\\right),\\left(26,19\\right),\\left(22,34\\right),\\left(28,28\\right),\\left(28,28\\right),\\left(29,30\\right),\\left(24,27\\right),\\left(29,19\\right),\\left(34,24\\right),\\left(32,25\\right),\\left(23,33\\right),\\left(26,25\\right),\\left(29,24\\right),\\left(33,25\\right),\\left(36,19\\right),\\left(33,23\\right),\\left(23,31\\right),\\left(24,33\\right),\\left(28,20\\right),\\left(26,30\\right),\\left(27,28\\right),\\left(23,21\\right),\\left(26,30\\right),\\left(32,21\\right),\\left(22,27\\right),\\left(21,27\\right),\\left(27,27\\right),\\left(31,20\\right),\\left(23,24\\right),\\left(29,20\\right),\\left(25,22\\right),\\left(18,33\\right),\\left(26,28\\right),\\left(30,29\\right),\\left(24,28\\right),\\left(27,20\\right),\\left(32,25\\right),\\left(25,26\\right),\\left(27,25\\right),\\left(28,21\\right),\\left(25,38\\right),\\left(22,28\\right),\\left(17,28\\right),\\left(25,32\\right),\\left(23,25\\right),\\left(27,27\\right),\\left(26,25\\right),\\left(25,22\\right),\\left(31,23\\right),\\left(30,24\\right),\\left(25,23\\right),\\left(30,25\\right),\\left(24,28\\right),\\left(28,29\\right),\\left(30,25\\right),\\left(29,29\\right),\\left(28,28\\right),\\left(32,31\\right),\\left(20,28\\right),\\left(25,25\\right),\\left(36,25\\right),\\left(31,30\\right),\\left(20,31\\right),\\left(20,32\\right),\\left(28,26\\right),\\left(26,27\\right),\\left(21,21\\right),\\left(23,33\\right),\\left(27,33\\right),\\left(32,24\\right),\\left(32,22\\right),\\left(36,23\\right),\\left(28,22\\right),\\left(26,33\\right),\\left(27,25\\right),\\left(27,20\\right),\\left(29,36\\right),\\left(29,19\\right),\\left(20,29\\right),\\left(26,29\\right),\\left(30,25\\right),\\left(30,29\\right),\\left(25,23\\right),\\left(21,28\\right),\\left(22,28\\right),\\left(23,28\\right),\\left(36,18\\right),\\left(19,27\\right),\\left(20,26\\right),\\left(29,30\\right),\\left(28,29\\right),\\left(31,21\\right),\\left(28,24\\right),\\left(31,17\\right),\\left(30,27\\right),\\left(24,29\\right),\\left(36,23\\right),\\left(23,24\\right),\\left(28,26\\right),\\left(16,30\\right),\\left(28,22\\right),\\left(28,22\\right),\\left(26,31\\right),\\left(29,16\\right),\\left(33,23\\right),\\left(30,33\\right),\\left(28,26\\right),\\left(26,30\\right),\\left(26,25\\right),\\left(32,29\\right),\\left(27,21\\right),\\left(25,30\\right),\\left(21,37\\right),\\left(29,27\\right),\\left(25,30\\right),\\left(25,22\\right),\\left(31,18\\right),\\left(26,29\\right),\\left(29,23\\right),\\left(26,20\\right),\\left(24,29\\right),\\left(27,17\\right),\\left(31,29\\right),\\left(28,25\\right),\\left(25,31\\right),\\left(32,27\\right),\\left(23,28\\right),\\left(26,29\\right),\\left(20,30\\right),\\left(28,24\\right),\\left(27,23\\right),\\left(22,37\\right),\\left(33,26\\right),\\left(26,23\\right),\\left(28,23\\right),\\left(36,18\\right),\\left(28,21\\right),\\left(36,19\\right),\\left(29,25\\right),\\left(29,29\\right),\\left(25,28\\right),\\left(30,28\\right),\\left(22,31\\right),\\left(22,37\\right),\\left(28,25\\right),\\left(26,29\\right),\\left(30,23\\right),\\left(36,24\\right),\\left(28,24\\right),\\left(31,24\\right),\\left(26,25\\right),\\left(22,34\\right),\\left(25,19\\right),\\left(21,29\\right),\\left(19,30\\right),\\left(33,29\\right),\\left(33,18\\right),\\left(28,23\\right),\\left(26,25\\right),\\left(25,26\\right),\\left(22,26\\right),\\left(25,28\\right),\\left(26,27\\right),\\left(23,28\\right),\\left(29,24\\right),\\left(26,19\\right),\\left(31,22\\right),\\left(21,27\\right),\\left(26,25\\right),\\left(32,27\\right),\\left(31,23\\right),\\left(35,26\\right),\\left(24,26\\right),\\left(24,19\\right),\\left(32,23\\right),\\left(23,33\\right),\\left(30,23\\right),\\left(27,28\\right),\\left(28,33\\right),\\left(27,23\\right),\\left(19,33\\right),\\left(27,28\\right),\\left(29,26\\right),\\left(32,30\\right),\\left(31,27\\right),\\left(23,28\\right),\\left(30,26\\right),\\left(30,22\\right),\\left(26,27\\right),\\left(28,20\\right),\\left(27,27\\right),\\left(28,21\\right),\\left(30,19\\right),\\left(23,26\\right),\\left(21,29\\right),\\left(27,25\\right),\\left(28,21\\right),\\left(22,35\\right),\\left(22,24\\right),\\left(34,21\\right),\\left(28,30\\right),\\left(23,31\\right),\\left(28,30\\right),\\left(25,21\\right),\\left(30,30\\right),\\left(27,31\\right),\\left(30,26\\right),\\left(26,31\\right),\\left(20,30\\right),\\left(30,25\\right),\\left(22,31\\right),\\left(26,22\\right),\\left(33,33\\right),\\left(27,24\\right),\\left(25,31\\right),\\left(27,20\\right),\\left(29,25\\right),\\left(36,25\\right),\\left(26,20\\right),\\left(27,29\\right),\\left(33,21\\right),\\left(22,32\\right),\\left(34,23\\right),\\left(30,26\\right),\\left(29,23\\right),\\left(28,20\\right),\\left(29,22\\right),\\left(29,24\\right),\\left(22,30\\right),\\left(29,18\\right),\\left(24,23\\right),\\left(23,25\\right),\\left(25,29\\right),\\left(23,27\\right),\\left(26,24\\right),\\left(31,24\\right),\\left(26,28\\right),\\left(30,18\\right),\\left(21,25\\right),\\left(22,27\\right),\\left(26,33\\right),\\left(26,23\\right),\\left(32,22\\right),\\left(31,29\\right),\\left(25,29\\right),\\left(24,24\\right),\\left(24,33\\right),\\left(25,31\\right),\\left(26,30\\right),\\left(22,34\\right),\\left(23,26\\right),\\left(25,26\\right),\\left(32,17\\right),\\left(35,20\\right),\\left(21,31\\right),\\left(18,31\\right),\\left(32,28\\right),\\left(27,26\\right),\\left(25,24\\right),\\left(20,28\\right),\\left(27,27\\right),\\left(32,27\\right),\\left(24,28\\right),\\left(28,24\\right),\\left(25,24\\right),\\left(24,26\\right),\\left(29,26\\right),\\left(24,28\\right),\\left(29,28\\right),\\left(25,28\\right),\\left(21,32\\right),\\left(24,30\\right),\\left(24,28\\right),\\left(23,32\\right),\\left(31,24\\right),\\left(35,24\\right),\\left(25,27\\right),\\left(35,26\\right),\\left(22,28\\right),\\left(25,17\\right),\\left(30,21\\right),\\left(30,21\\right),\\left(22,25\\right),\\left(34,25\\right),\\left(34,27\\right),\\left(31,26\\right),\\left(33,25\\right),\\left(29,30\\right),\\left(23,26\\right),\\left(26,27\\right),\\left(22,31\\right),\\left(26,23\\right),\\left(27,27\\right),\\left(28,26\\right),\\left(27,36\\right),\\left(32,26\\right),\\left(30,30\\right),\\left(27,33\\right),\\left(20,31\\right),\\left(21,34\\right),\\left(29,25\\right),\\left(23,25\\right),\\left(33,23\\right),\\left(29,32\\right),\\left(26,28\\right),\\left(29,31\\right),\\left(26,31\\right),\\left(27,28\\right),\\left(21,30\\right),\\left(25,26\\right),\\left(23,26\\right),\\left(29,29\\right),\\left(28,27\\right),\\left(24,21\\right),\\left(28,28\\right),\\left(29,23\\right),\\left(28,29\\right),\\left(22,25\\right),\\left(24,29\\right),\\left(29,32\\right),\\left(26,25\\right),\\left(25,23\\right),\\left(29,22\\right),\\left(25,17\\right),\\left(24,25\\right),\\left(21,22\\right),\\left(24,22\\right),\\left(24,24\\right),\\left(15,32\\right),\\left(28,24\\right),\\left(29,27\\right),\\left(27,29\\right),\\left(29,28\\right),\\left(27,27\\right),\\left(30,29\\right),\\left(27,27\\right),\\left(27,27\\right),\\left(20,29\\right),\\left(24,32\\right),\\left(25,27\\right),\\left(26,24\\right),\\left(27,28\\right),\\left(25,24\\right),\\left(30,25\\right),\\left(24,23\\right),\\left(26,24\\right),\\left(33,20\\right),\\left(21,34\\right),\\left(25,31\\right),\\left(32,28\\right),\\left(29,31\\right),\\left(43,25\\right),\\left(25,31\\right),\\left(32,25\\right),\\left(25,33\\right),\\left(30,24\\right),\\left(30,24\\right),\\left(26,30\\right),\\left(23,28\\right),\\left(30,19\\right),\\left(33,22\\right),\\left(18,36\\right),\\left(28,29\\right),\\left(24,28\\right),\\left(39,21\\right),\\left(27,33\\right),\\left(21,35\\right),\\left(25,35\\right),\\left(30,28\\right),\\left(27,30\\right),\\left(32,20\\right),\\left(23,25\\right),\\left(24,26\\right),\\left(13,27\\right),\\left(26,32\\right),\\left(19,38\\right),\\left(31,22\\right),\\left(30,18\\right),\\left(25,24\\right),\\left(26,27\\right),\\left(23,28\\right),\\left(26,21\\right),\\left(28,23\\right),\\left(27,32\\right),\\left(25,24\\right),\\left(25,28\\right),\\left(39,21\\right),\\left(28,24\\right),\\left(26,27\\right),\\left(32,21\\right),\\left(28,31\\right),\\left(22,36\\right),\\left(29,24\\right),\\left(22,33\\right),\\left(29,28\\right),\\left(25,25\\right),\\left(19,28\\right),\\left(24,22\\right),\\left(25,28\\right),\\left(32,27\\right),\\left(23,29\\right),\\left(30,29\\right),\\left(23,27\\right),\\left(31,27\\right),\\left(24,26\\right),\\left(18,35\\right),\\left(24,27\\right),\\left(26,34\\right),\\left(23,29\\right),\\left(23,30\\right),\\left(29,21\\right),\\left(28,23\\right),\\left(20,27\\right),\\left(26,26\\right),\\left(30,28\\right),\\left(25,32\\right),\\left(22,32\\right),\\left(22,32\\right),\\left(32,25\\right),\\left(27,28\\right),\\left(34,23\\right),\\left(31,29\\right),\\left(26,26\\right),\\left(30,26\\right),\\left(30,21\\right),\\left(23,30\\right),\\left(26,24\\right),\\left(27,32\\right),\\left(28,24\\right),\\left(32,30\\right),\\left(24,25\\right),\\left(24,28\\right),\\left(31,26\\right),\\left(27,22\\right),\\left(23,21\\right),\\left(23,30\\right),\\left(20,32\\right),\\left(30,26\\right),\\left(28,24\\right),\\left(27,24\\right),\\left(29,29\\right),\\left(26,29\\right),\\left(35,17\\right),\\left(31,27\\right),\\left(28,27\\right),\\left(25,26\\right),\\left(30,25\\right),\\left(31,22\\right),\\left(27,26\\right),\\left(27,24\\right),\\left(25,29\\right),\\left(23,20\\right),\\left(26,24\\right),\\left(22,29\\right),\\left(30,28\\right),\\left(30,30\\right),\\left(26,29\\right),\\left(24,24\\right),\\left(21,29\\right),\\left(25,33\\right),\\left(28,24\\right),\\left(27,32\\right),\\left(24,25\\right),\\left(30,27\\right),\\left(26,27\\right),\\left(28,26\\right),\\left(33,22\\right),\\left(24,28\\right),\\left(28,32\\right),\\left(28,25\\right),\\left(23,25\\right),\\left(33,23\\right),\\left(36,20\\right),\\left(27,27\\right),\\left(29,27\\right),\\left(37,26\\right),\\left(23,28\\right),\\left(27,26\\right),\\left(24,29\\right),\\left(19,28\\right),\\left(35,20\\right),\\left(25,29\\right),\\left(25,28\\right),\\left(30,23\\right),\\left(26,28\\right),\\left(30,23\\right),\\left(27,27\\right),\\left(27,25\\right),\\left(29,25\\right),\\left(26,30\\right),\\left(22,28\\right),\\left(21,31\\right),\\left(22,32\\right),\\left(29,23\\right),\\left(23,23\\right),\\left(22,27\\right),\\left(28,33\\right),\\left(30,30\\right),\\left(22,31\\right),\\left(21,26\\right),\\left(25,24\\right),\\left(27,28\\right),\\left(28,26\\right),\\left(22,34\\right),\\left(25,23\\right),\\left(31,23\\right),\\left(20,32\\right),\\left(31,28\\right),\\left(28,24\\right),\\left(28,35\\right),\\left(19,33\\right),\\left(31,22\\right),\\left(26,26\\right),\\left(29,31\\right),\\left(24,27\\right),\\left(27,24\\right)\\right]","hidden":true},{"type":"expression","id":"52","folderId":"48","color":"#6042a6","latex":"L_{c}=\\left[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,2,3,2,3,2,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,3,1,6,4,2,1,3,0,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,2,4,3,5,8,6,1,2,3,5,1,3,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,4,6,9,4,9,9,7,4,5,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,6,7,9,8,11,14,10,9,10,5,9,4,2,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,2,3,7,19,7,14,11,17,14,17,11,13,3,6,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,4,10,10,9,22,10,25,22,20,21,16,17,6,2,6,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,2,5,8,15,22,22,27,31,31,27,25,18,16,18,5,5,4,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,8,23,18,19,22,29,30,22,33,11,19,9,4,4,7,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,3,11,11,23,20,27,32,24,23,18,24,21,11,10,5,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,3,4,9,12,18,16,26,25,24,36,27,18,12,15,12,5,5,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,7,5,12,16,20,32,27,27,30,21,20,21,6,6,2,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,3,7,15,15,29,28,25,30,27,25,13,14,10,4,3,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,6,4,11,8,12,19,18,22,29,14,16,16,8,7,5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,4,7,10,15,16,20,21,14,16,6,11,0,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,2,4,12,8,12,11,9,18,16,12,6,5,3,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,4,4,7,6,10,11,11,5,11,7,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,1,6,12,14,9,5,3,3,2,2,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,2,4,7,6,3,3,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,1,1,2,4,2,2,3,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,2,3,5,1,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0\\right]","hidden":true},{"type":"expression","id":"11","color":"#c74440","latex":"L_{p}=\\left[\\frac{\\left(P_{1},P_{2}\\right)}{n}\\operatorname{for}P_{1}=\\left[0...n\\right],P_{2}=\\left[0...n\\right]\\right]","label":"${L_c}","pointOpacity":"5\\sqrt{\\frac{L_{c}}{N}}","pointSize":"8"},{"type":"text","id":"26","text":"confidence box?"},{"type":"expression","id":"30","color":"#388c46","latex":"M\\left(l,j\\right)=\\sum_{i=-j}^{j}\\sum_{h=-j}^{j}L_{c}\\left[\\left(n+1\\right)\\operatorname{floor}\\left(np_{2}+i\\right)+\\operatorname{floor}\\left(np_{1}\\right)+h+1\\right]"},{"type":"expression","id":"54","color":"#c74440","latex":"r=9","hidden":true,"slider":{"hardMin":true,"hardMax":true,"min":"1","step":"1"}},{"type":"expression","id":"33","color":"#c74440","latex":"\\frac{M\\left(L_{s},r\\right)}{N}"},{"type":"expression","id":"56","color":"#388c46","latex":"\\frac{r}{n}"},{"type":"text","id":"38","text":"\"radius\" of 95% confidence box in terms of sample size (for 1/3, 1/3, 1/3)"},{"id":"42","type":"table","columns":[{"values":["10","20","30","40","50","80"],"hidden":true,"id":"40","color":"#388c46","latex":"x_{3}"},{"values":["0.3","0.22","0.17","0.15","0.14","0.11"],"id":"41","color":"#6042a6","latex":"y_{3}"}]},{"type":"expression","id":"59","color":"#c74440","latex":"y_{3}\\sim\\frac{a}{\\sqrt{x_{3}}}","residualVariable":"e_{1}","regressionParameters":{"a":0.958811971360863}}]}}