{"version":10,"randomSeed":"46f7a483886a44ba96bc576430b193d8","graph":{"viewport":{"xmin":-1.3057539985840383,"ymin":-0.476012789308105,"xmax":4.954706587765784,"ymax":4.610434319181665},"showGrid":false},"expressions":{"list":[{"type":"expression","id":"20","color":"#6042a6","latex":"L_{S}=\\left[9,14,13,6,20,18,7,15,19,16,17,12,11,8,22,21,10,23\\right]"},{"type":"expression","id":"2","color":"#2d70b3","latex":"J\\left(L\\right)=\\operatorname{polygon}\\left(\\operatorname{join}\\left(L,L\\left[\\operatorname{length}\\left(L\\right)...1\\right]\\right)\\right)"},{"type":"expression","id":"7","color":"#c74440","latex":"\\gamma=\\left(\\infty,\\infty\\right)","hidden":true},{"type":"expression","id":"12","color":"#c74440","latex":"C_{1}=\\left[\\left(0,0\\right),\\left(2,0\\right),\\left(2,2\\right),\\gamma,\\gamma,\\gamma,\\left(0,0\\right),\\left(0,1\\right),\\left(2,1\\right),\\left(2,2\\right),\\gamma,\\gamma,\\left(0,1\\right),\\left(1,1\\right),\\left(1,0\\right),\\left(1,1\\right),\\left(2,1\\right),\\left(2,2\\right),\\left(0,1\\right),\\left(2,1\\right),\\left(2,0\\right),\\left(2,2\\right),\\gamma,\\gamma,\\left(0,1\\right),\\left(2,1\\right),\\left(1,1\\right),\\left(1,2\\right),\\left(1,0\\right),\\gamma,\\left(0,0\\right),\\left(1,0\\right),\\left(1,1\\right),\\left(2,1\\right),\\left(2,2\\right),\\gamma\\right]","hidden":true},{"type":"expression","id":"15","color":"#6042a6","latex":"C_{2}=\\left[\\left(0,0\\right),\\left(2,0\\right),\\left(2,2\\right),\\left(1,2\\right),\\gamma,\\gamma,\\left(0,0\\right),\\left(1,0\\right),\\left(1,1\\right),\\left(2,0\\right),\\left(2,2\\right),\\gamma,\\left(0,0\\right),\\left(0,1\\right),\\left(2,1\\right),\\left(2,2\\right),\\left(1,2\\right),\\gamma,\\left(0,0\\right),\\left(0,2\\right),\\left(0,1\\right),\\left(2,1\\right),\\left(2,2\\right),\\gamma,\\left(0,1\\right),\\left(2,1\\right),\\left(2,2\\right),\\left(1,2\\right),\\left(1,0\\right),\\gamma,\\left(0,2\\right),\\left(0,1\\right),\\left(2,1\\right),\\left(2,2\\right),\\left(1,0\\right),\\gamma\\right]","hidden":true},{"type":"expression","id":"17","color":"#c74440","latex":"C_{3}=\\left[\\left(0,1\\right),\\left(1,1\\right),\\left(1,0\\right),\\left(2,0\\right),\\left(2,2\\right),\\gamma,\\left(0,0\\right),\\left(2,0\\right),\\left(2,2\\right),\\left(0,2\\right),\\gamma,\\gamma,\\left(0,0\\right),\\left(1,0\\right),\\left(1,2\\right),\\left(2,2\\right),\\left(2,0\\right),\\gamma,\\left(0,1\\right),\\left(0,0\\right),\\left(2,0\\right),\\left(2,2\\right),\\left(1,2\\right),\\gamma,\\left(0,1\\right),\\left(0,0\\right),\\left(1,0\\right),\\left(1,2\\right),\\left(2,2\\right),\\left(2,1\\right),\\left(0,0\\right),\\left(0,1\\right),\\left(1,1\\right),\\left(1,2\\right),\\left(2,2\\right),\\left(2,0\\right)\\right]","hidden":true},{"type":"expression","id":"18","color":"#2d70b3","latex":"C_{4}=\\left[\\left(0,0\\right),\\left(0,2\\right),\\left(0,1\\right),\\left(2,1\\right),\\left(2,0\\right),\\left(2,2\\right),\\left(0,1\\right),\\left(0,2\\right),\\left(2,2\\right),\\left(2,1\\right),\\left(1,1\\right),\\left(1,0\\right),\\left(0,0\\right),\\left(2,0\\right),\\left(2,2\\right),\\left(0,2\\right),\\left(0,0\\right),\\gamma,\\left(0,0\\right),\\left(2,0\\right),\\left(2,2\\right),\\left(0,2\\right),\\left(1,2\\right),\\left(1,0\\right),\\left(1,2\\right),\\left(2,2\\right),\\left(2,0\\right),\\left(0,0\\right),\\left(0,1\\right),\\left(1,1\\right),\\left(0,2\\right),\\left(2,2\\right),\\left(2,1\\right),\\left(0,1\\right),\\left(0,0\\right),\\left(2,0\\right)\\right]","hidden":true},{"type":"expression","id":"3","color":"#388c46","latex":"C=\\operatorname{join}\\left(C_{1},C_{2},C_{3},C_{4}\\right)","hidden":true},{"type":"expression","id":"9","color":"#c74440","latex":"P\\left(k,o,s\\right)=J\\left(sC\\left[6k+1...6k+6\\right]+o\\right)","lineOpacity":"1","lineWidth":"40"},{"type":"expression","id":"19","color":"#c74440","latex":"\\left[P\\left(0,\\left(0.4,2.5\\right),0.15\\right),P\\left(1,\\left(1,2.5\\right),0.15\\right),P\\left(2,\\left(1.6,2.5\\right),0.15\\right),P\\left(3,\\left(2.2,2.5\\right),0.15\\right),P\\left(4,\\left(2.8,2.5\\right),0.15\\right),P\\left(5,\\left(3.4,2.5\\right),0.15\\right),P\\left(6,\\left(0.4,1.9\\right),0.15\\right),P\\left(7,\\left(1,1.9\\right),0.15\\right),P\\left(8,\\left(1.6,1.9\\right),0.15\\right),P\\left(9,\\left(2.2,1.9\\right),0.15\\right),P\\left(10,\\left(2.8,1.9\\right),0.15\\right),P\\left(11,\\left(3.4,1.9\\right),0.15\\right),P\\left(12,\\left(0.4,1.3\\right),0.15\\right),P\\left(13,\\left(1,1.3\\right),0.15\\right),P\\left(14,\\left(1.6,1.3\\right),0.15\\right),P\\left(15,\\left(2.2,1.3\\right),0.15\\right),P\\left(16,\\left(2.8,1.3\\right),0.15\\right),P\\left(17,\\left(3.4,1.3\\right),0.15\\right),P\\left(18,\\left(0.4,0.7\\right),0.15\\right),P\\left(19,\\left(1,0.7\\right),0.15\\right),P\\left(20,\\left(1.6,0.7\\right),0.15\\right),P\\left(21,\\left(2.2,0.7\\right),0.15\\right),P\\left(22,\\left(2.8,0.7\\right),0.15\\right),P\\left(23,\\left(3.4,0.7\\right),0.15\\right)\\right]","lineOpacity":"\\left\\{I>K:1,0\\right\\}","lineWidth":"15","clickableInfo":{"enabled":true,"latex":"Q\\left(\\operatorname{index}\\right)"}},{"type":"expression","id":"27","color":"#c74440","latex":"Q\\left(i\\right)=\\left(L_{R}\\to\\operatorname{join}\\left(L_{R},i-1\\right)\\right)"},{"type":"expression","id":"21","color":"#000000","latex":"K=9","slider":{"hardMin":true,"hardMax":true,"min":"0","step":"1"}},{"type":"expression","id":"23","color":"#2d70b3","latex":"I=2","slider":{"hardMin":true,"min":"1","step":"1"}},{"type":"expression","id":"28","color":"#2d70b3","latex":"L_{R}=\\left[\\right]"},{"type":"expression","id":"25","color":"#2d70b3","latex":"P\\left(L_{S}\\left[I\\right],\\left(1,1\\right),1\\right)","lineOpacity":"\\left\\{I\\le K:1,0\\right\\}","lineWidth":"100"},{"type":"expression","id":"22","color":"#c74440","latex":"S=\\left\\{I\\le K:\\left(I\\to I+1\\right),\\operatorname{length}\\left(L_{R}\\right)=K:\\left(K\\to K+\\left\\{\\operatorname{total}\\left(\\left(L_{R}-L_{S}\\left[1...K\\right]\\right)^{2}\\right)=0:1,0\\right\\},I\\to1,L_{R}\\to\\left[\\right],L_{S}\\to\\operatorname{shuffle}\\left(\\left[6...23\\right]\\right)\\right)\\right\\}"}],"ticker":{"handlerLatex":"S","minStepLatex":"2000","open":true}}}