Input: 0.034560032 0.0044613485 0.0034745065 0.0045641446 0.0042557567 0.0036800986 0.0032894737 0.003618421 0.004296875 0.0037828947 0.0035567435 0.0040501645 0.0041529606 0.003310033 0.0035773027 0.004029605 0.0039884867 0.004009046 0.004132401 0.0033922698 0.0041118423 0.0036389802 0.0037212172 0.0039473684 0.00390625 0.0039268094 0.0036800986 0.0034745065 0.0039473684 0.0041735196 0.004009046 0.0034539474 0.0037828947 0.0035567435 0.004029605 0.0042146384 0.0037623355 0.0037623355 0.0039268094 0.0036800986 0.0034333882 0.003412829 0.0035361843 0.003618421 0.0034539474 0.0035567435 0.0038856908 0.0035773027 0.0041118423 0.0037417763 0.004132401 0.0036595394 0.0038651316 0.0034539474 0.0032689145 0.0041529606 0.0035978619 0.0033717104 0.0035567435 0.0033717104 0.0040501645 0.003618421 0.0036595394 0.0040501645 0.0038034539 0.0042557567 0.0038856908 0.0042557567 0.004132401 0.0035567435 0.003967928 0.003515625 0.003618421 0.0035978619 0.0038856908 0.0035978619 0.003967928 0.0037828947 0.003412829 0.004132401 0.0037212172 0.0039473684 0.0035567435 0.0037828947 0.0038651316 0.0033511512 0.0037828947 0.004029605 0.0038651316 0.004009046 0.0041735196 0.0036389802 0.0036389802 0.0042557567 0.0038651316 0.003824013 0.0035567435 0.003310033 0.004009046 0.0038034539 0.003618421 0.00390625 0.004666941 0.0042146384 0.004070724 0.0036389802 0.0038445725 0.003412829 0.004070724 0.0039884867 0.0038034539 0.0038651316 0.003515625 0.004132401 0.004029605 0.0037417763 0.0035567435 0.0038651316 0.0035978619 0.0034745065 0.0034745065 0.0036800986 0.0036389802 0.0037828947 0.0042351973 0.0040501645 0.0036800986 0.0038445725 0.003515625 0.0040501645 0.0033922698 0.0036389802 0.004029605 0.0032072368 0.0041118423 0.0036389802 0.0034333882 0.004029605 0.0035978619 0.0041529606 0.004070724 0.004009046 0.004029605 0.0040501645 0.0042146384 0.0036389802 0.003310033 0.0038445725 0.003824013 0.003967928 0.0037623355 0.0037417763 0.0035773027 0.004009046 0.0032483554 0.003618421 0.0038445725 0.0037417763 0.003330592 0.0037212172 0.0037212172 0.0034950657 0.0039268094 0.0039473684 0.0031661184 0.0038651316 0.0036595394 0.003330592 0.0039473684 0.003618421 0.0036389802 0.0036389802 0.0035361843 0.003824013 0.0038651316 0.0033511512 0.004091283 0.0035978619 0.00390625 0.003824013 0.0039268094 0.003700658 0.0039473684 0.004009046 0.0034539474 0.0035361843 0.004132401 0.004132401 0.0034745065 0.0036800986 0.0036389802 0.0041118423 0.0037417763 0.0037417763 0.0039473684 0.0037417763 0.0045435857 0.0035773027 0.0037828947 0.0038034539 0.0037212172 0.003125 0.0036389802 0.003700658 0.004070724 0.004379112 0.0042351973 0.0036800986 0.0034539474 0.0038651316 0.0038445725 0.0034745065 0.0031866776 0.0033922698 0.004070724 0.0035361843 0.0041735196 0.0038856908 0.004009046 0.003515625 0.004605263 0.0033922698 0.0033922698 0.0037212172 0.0035978619 0.003515625 0.003412829 0.0036389802 0.0036595394 0.0037212172 0.0039268094 0.0034745065 0.0038445725 0.0037212172 0.004009046 0.0035978619 0.0037828947 0.0034950657 0.0032894737 0.0039473684 0.0035978619 0.0038856908 0.0036389802 0.0039268094 0.0037212172 0.0041735196 0.0034539474 0.0037623355 0.004379112 0.0038445725 0.0041529606 0.0035978619 0.004358553 0.004029605 0.003618421 0.0044407896 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010519276 0.00089164404 0.0009659477 0.00068996265 0.00071119226 0.0006581182 0.0008597996 0.00088102923 0.0005838145 0.00066873303 0.0006475034 0.0007324219 0.000615659 0.00071119226 0.00072180707 0.00088102923 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06383747 0.06194803 0.059326172 0.060101055 0.0619268 0.061958645 0.061693273 0.060408883 0.061597742 0.060164742 0.059007727 0.061746348 0.062139098 0.06012228 0.059230637 0.06305197 244.0 5.864754 1431.0 0.011879805 0.009783369 0.011879805 0.009783369 0.008385744 0.011879805 0.013277428 0.01048218 0.007686932 0.011180992 0.009084556 0.0069881203 0.009783369 0.011879805 0.014675053 0.009084556 0.016771488 0.008385744 0.015373864 0.0034940601 0.009783369 0.0069881203 0.008385744 0.011879805 0.008385744 0.007686932 0.009783369 0.0069881203 0.009783369 0.005590496 0.011879805 0.011879805 0.007686932 0.014675053 0.01048218 0.0069881203 0.012578616 0.01048218 0.007686932 0.014675053 0.006289308 0.014675053 0.007686932 0.011180992 0.013277428 0.011180992 0.007686932 0.012578616 0.009783369 0.012578616 0.006289308 0.009783369 0.008385744 0.007686932 0.011180992 0.01048218 0.0069881203 0.014675053 0.012578616 0.011879805 0.0139762405 0.011879805 0.008385744 0.009084556 0.007686932 0.011180992 0.0069881203 0.011879805 0.016072676 0.013277428 0.0139762405 0.012578616 0.0139762405 0.0139762405 0.011879805 0.0069881203 0.011879805 0.014675053 0.01048218 0.009084556 0.0069881203 0.009084556 0.018169113 0.01048218 0.0069881203 0.011879805 0.009783369 0.005590496 0.009084556 0.01048218 0.009783369 0.012578616 0.007686932 0.0069881203 0.01048218 0.011180992 6.5321774 0.0 0.0 0.0 2.0 48640.0 241664.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 925165000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 56.0 4.0 0.0 4.0 0.0 47104.0 1024.0 65536.0 2.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -47104.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.994402 -1.0182562 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -233472.0 -4096.0 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 0.0 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 -2.0 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 -1.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 237568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.05467456 0.0058448673 0.0015550687 0.0013907443 0.0014695666 0.0004582376 0.0004435419 0.00053037994 0.0024808957 0.00060118636 0.00029792124 0.00041548657 0.0012464597 0.0004221664 0.00029792124 0.00078688614 0.0052156253 0.00023112274 0.00024715438 0.00017768396 0.0011502699 0.0009017795 0.0006025223 0.00015497248 0.00065195316 0.00026185004 0.0016566024 0.00024047453 0.00075883075 0.00019505157 0.0001015337 0.00015764442 0.00080291776 0.00012825309 9.485384e-05 0.00016298829 0.0016352269 0.00017901993 0.00011355742 8.9509966e-05 0.00032330464 0.00012958905 0.00019905948 0.0005490835 0.000396783 0.0001362689 0.80364454 9.8861754e-05 0.0005664511 0.000308609 0.0004181585 0.0011676375 0.00044754983 0.0004448779 0.00033265643 0.00028856946 0.00046358147 0.00066264096 0.00042350238 0.00091246725 0.00038475925 0.00035536793 0.00031128092 0.00030059318 0.0012411159 0.0005664511 0.00036872763 0.00041147866 0.00077619834 0.0016165233 0.0009378507 0.00030326511 0.0005049965 0.00026185004 0.00015764442 0.00025383424 0.00058649067 0.0008015818 0.00043953402 0.0002110832 0.001718057 0.00040880672 0.00019505157 0.0012477956 0.00056110724 0.000748143 0.0014134559 0.0010514081 0.00029524928 0.00051702023 0.00011756533 0.00042350238 0.00034735212 0.0004622455 0.00059183454 0.00047694118 0.00021509112 0.0005009886 0.00017234008 0.00049564475 0.00051301235 0.001625875 0.00078688614 0.00023513066 0.0012878748 0.00074279914 0.00092315505 0.00017100411 0.0008977716 0.00022577887 0.0008229573 0.00073745527 0.0007641746 0.00014027681 0.001186341 0.00077619834 0.0021335436 0.0015363651 0.0005237001 0.00026986588 0.00095388235 0.00023646663 0.00012825309 0.000102869664 0.00045556566 0.00048762892 0.00036471972 0.0001456207 0.00039411103 0.00030460107 0.00011622936 0.0016419067 0.00047026132 0.0014762465 0.00024715438 0.00011756533 0.0005624432 0.0024942553 0.0005036605 0.0056591677 0.00019905948 0.0016646181 0.00020841126 0.00015096457 0.0008015818 0.00016298829 0.00014294875 0.0002030674 0.00017901993 0.00016966814 0.00022177096 0.000106877575 0.00024047453 0.00015363652 9.618981e-05 7.615027e-05 0.0002030674 8.416609e-05 0.00011489339 0.00010420563 0.00025650617 0.0001229092 0.00013760487 0.00013894084 0.00014695666 0.00019905948 8.283012e-05 8.683803e-05 0.0003393363 0.00015497248 0.00012157324 0.00020841126 0.00017901993 0.0001362689 0.00029391333 0.00012825309 0.00034468016 0.0001362689 9.618981e-05 8.8174e-05 0.00016833218 0.00014294875 9.7525786e-05 0.00011355742 0.00065328914 0.0002858975 0.00012825309 0.0001229092 0.00034468016 0.00012691712 0.00018302785 0.00015230053 0.0010687758 0.00047026132 0.0005370598 0.00071073585 0.00053973176 0.00015764442 0.00035136 0.0006559611 0.0005049965 0.00060519425 0.00021509112 0.0002110832 0.0003914391 0.00011222145 0.00034468016 0.00018703575 0.00040346282 0.0025076151 0.00032464063 0.0005049965 0.0001937156 0.00010420563 0.00033132048 0.0002992572 0.00041147866 0.00014428473 9.7525786e-05 0.00020173141 0.0002244429 7.48143e-05 0.00014027681 0.00011489339 0.00034601614 0.00031796077 0.00018436382 7.347833e-05 0.00025249826 8.416609e-05 9.3517876e-05 0.00018169187 0.002028002 0.0005143483 0.00013760487 0.0006693208 0.0006719927 0.00012558115 0.0002418105 0.00013092502 0.00065195316 0.00028322556 0.00010954951 0.0002818896 0.00045155775 9.218191e-05 0.0002591781 0.00030727303 0.0007655106 0.00030460107 0.00019505157 0.0002899054 0.00079890987 0.00042884625 0.00034468016 0.0073839044 0.018649798 0.001693914 0.6860124 2.0093878e-06 6.0281636e-06 6.6979595e-07 0.00012994041 1.7414695e-05 2.6791838e-06 3.8848164e-05 4.018776e-05 6.6979595e-07 0.00024380573 0.0022243923 0.00012793102 0.0 0.002891509 0.0005833923 0.06557035 0.00011051633 2.0093878e-06 0.0 8.037552e-05 0.00045814042 1.6075102e-05 0.0 1.808449e-05 2.0093878e-06 0.00016142083 3.8848164e-05 2.6122043e-05 0.0 0.0011306156 0.00019625021 0.02668333 0.00012726123 0.0 0.0 0.0 0.0001975898 0.00012592164 0.0 0.0 0.0 6.8988986e-05 6.965878e-05 0.00020696694 0.0 0.0013737516 3.7508573e-05 0.0024293498 1.808449e-05 2.009388e-05 8.037551e-06 7.836612e-05 7.099837e-05 1.3395919e-05 2.143347e-05 1.1386531e-05 1.004694e-05 2.6791838e-06 4.0187756e-06 1.1386531e-05 4.6885716e-06 0.005156759 0.0003482939 0.02330622 0.00039317022 0.00014534572 2.2103266e-05 0.00079772697 0.0009631666 1.2056327e-05 8.707348e-06 0.00012324245 0.00012257266 9.377143e-06 1.1386531e-05 0.00012324245 6.6979596e-06 0.001089758 4.6885716e-06 2.2773062e-05 3.282e-05 2.3442859e-05 1.4065715e-05 0.000117214295 5.5593064e-05 4.0187756e-06 0.0 2.0093878e-06 2.6791838e-06 0.0 0.0 1.3395919e-06 1.3395919e-06 0.0038533362 0.0004293392 6.162123e-05 4.0857554e-05 0.000108506945 7.836612e-05 0.00022304205 0.00013998736 0.00011788409 8.573388e-05 2.6122043e-05 4.286694e-05 6.697959e-05 2.6122043e-05 6.296082e-05 0.00012324245 0.0054153004 0.00081648125 0.0001841939 0.00014668531 7.3677555e-05 6.4970205e-05 0.0003811139 0.000269258 0.00010247878 0.00010046939 3.7508573e-05 2.813143e-05 4.822531e-05 2.3442859e-05 3.616898e-05 0.00050234696 0.005166136 0.00015740204 0.00014601552 0.00017749592 0.00048694166 0.0004916302 0.001500343 0.0009336956 0.000107167354 0.00011922368 4.95649e-05 5.8942045e-05 5.8942045e-05 5.0234696e-05 4.152735e-05 5.6932655e-05 0.0030844104 0.00013864777 0.00012123307 0.0004159433 0.0003141343 0.00030542695 0.0011058331 0.0006229102 0.00017280735 8.171511e-05 4.95649e-05 4.0857554e-05 6.296082e-05 5.6932655e-05 7.166817e-05 0.00021366491 0.0014876168 0.00017481674 6.8988986e-05 0.0005257898 0.00023576818 0.00021366491 0.0005987976 0.00033958655 4.0857554e-05 5.5593064e-05 0.00016075103 4.4206532e-05 3.8848164e-05 4.2197145e-05 4.4876328e-05 4.286694e-05 0.002205638 0.00045747063 0.00023710777 0.0021728182 0.0004608196 0.0003623596 0.0011801805 0.00075486006 0.00023911716 0.00025586205 0.00030006858 0.00020696694 0.00017615633 0.00020562735 0.0001835241 0.00020361796 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0077019837 0.0024206426 0.0012692633 0.0010314857 0.0024615002 0.002576705 0.000991298 0.0018794475 0.005773641 0.0005653078 0.00037240656 0.0007066347 0.002041538 0.0008091135 0.0015083805 0.0035559468 0.012516477 0.004637667 0.002196261 0.002044887 0.0045579616 0.0059049213 0.0024548022 0.0029651867 0.008967228 0.0011795107 0.0010067034 0.0012357736 0.0035539374 0.0018365805 0.0030656562 0.007720068 0.00083925435 0.0006101841 0.0005659776 0.0005666474 0.00055526086 0.0005532515 0.0007086441 0.0005532515 0.0005458837 0.00053516694 0.00053918577 0.00068855024 0.0005458837 0.0006939086 0.0005539213 0.0005472233 3477.0 175.5197 610282.0 0.00015402715 2.1301628e-05 1.6385868e-05 1.1470107e-05 7.045923e-05 1.3108694e-05 6.554347e-06 1.8024455e-05 4.2603257e-05 1.4747281e-05 0.00011306249 5.4073364e-05 5.4073364e-05 2.1301628e-05 0.9854969 1.6385868e-05 0.00014255705 7.865216e-05 0.00013272553 0.00015402715 0.00015730433 0.00015730433 0.00011797825 9.3399445e-05 0.0001360027 0.00010978531 9.5038034e-05 8.6845095e-05 0.00010486955 0.00013436412 0.00013927987 0.00010978531 0.00011633966 0.00013272553 4.0964667e-05 0.000198269 0.00013764128 8.3567924e-05 0.00010650814 0.00015566574 7.045923e-05 0.00014583422 2.7855975e-05 3.7687496e-05 0.00010650814 8.3567924e-05 5.2434774e-05 7.37364e-05 0.00019990759 7.865216e-05 6.22663e-05 0.00039817658 0.00010159238 6.22663e-05 0.00019499182 0.00026381246 4.7519017e-05 3.2771735e-05 2.6217387e-05 3.113315e-05 2.7855975e-05 3.2771735e-05 3.441032e-05 7.537499e-05 3.441032e-05 0.00044897277 8.6845095e-05 0.00042439398 0.00028675268 0.0011584809 8.029075e-05 0.00013927987 0.00018188312 0.0005964456 8.520651e-05 8.1929335e-05 0.00044241842 0.00015730433 0.0005931684 0.0005210706 0.00043750266 1.4747281e-05 0.00066362764 0.0004063695 0.000963489 0.00016713585 0.00016385867 8.6845095e-05 0.00010323097 0.00011961683 2.7855975e-05 1.3108694e-05 0.00014583422 8.192934e-06 2.1301628e-05 2.4578801e-05 0.19341584 0.0 0.0 0.0 2.0 748520.0 135168.0 0.0 39.0 139.0 1.0 1.0 0.0 0.0 0.0 1307629700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 77824.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3716784 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.445061 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7103977 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.621935 0.0 3.3983302 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5036.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22571.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13089.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -75346.0 0.0 1048.0 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 0.0 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 -2.0 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 -1.0 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 0.0 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 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 0.0 0.0 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 1.0 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 -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 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 -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 1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 0.0 1.0 0.0 0.0 -1.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 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 -1.0 0.0 -1.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 1115.0 103376.0 100.0 100440.0 1048.0 122880.0 0.0 0.0 0.0 0.0 4484.0 126976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 572.0 81920.0 0.0 0.0 0.0 0.0


Input: 0.12692301 0.013695331 0.006561888 0.006749801 0.01543456 0.004124264 0.0037872936 0.0033568684 0.014002937 0.0021543582 0.002198238 0.002678349 0.008429854 0.0023538833 0.0017629003 0.010889697 0.022337327 0.0020337722 0.0012421474 0.0012899352 0.00416178 0.001827436 0.0011192167 0.0010207382 0.003234831 0.0011376395 0.0011677861 0.0014043802 0.0024908823 0.0009304103 0.00097283866 0.0011270324 0.006002838 0.00079810066 0.0011016871 0.0010656229 0.006985837 0.0010609335 0.00076170155 0.0006841022 0.0021776936 0.0009412407 0.00076594437 0.0018820347 0.0017253846 0.0011904518 0.0022852162 0.0009067397 0.0039753183 0.002302411 0.0020622439 0.0064861868 0.0025108685 0.0016684412 0.0019460123 0.0017007091 0.0028837917 0.0032237773 0.0022883425 0.0045043337 0.0026695284 0.002221127 0.0018112463 0.0025694866 0.004815066 0.0032953473 0.001836815 0.0026745526 0.003698752 0.01558507 0.0051817363 0.002733729 0.0028750827 0.0017065151 0.0011183234 0.0011021337 0.0025726128 0.0071844687 0.0024880911 0.0017258312 0.011269989 0.0027978183 0.0020319857 0.0038472514 0.0020324322 0.0053429645 0.0053679748 0.0040443204 0.0015849243 0.0014086231 0.0007311084 0.002657358 0.0014833193 0.0061658523 0.0041598817 0.0046832026 0.001867408 0.003934788 0.0010835992 0.002273381 0.003714942 0.0054207873 0.0041731684 0.002013786 0.0077962196 0.0037956676 0.0064329277 0.0011661112 0.0027720265 0.001739788 0.0032236655 0.00403349 0.0029118168 0.00075902184 0.005161527 0.0039133504 0.012422255 0.011500331 0.001802649 0.0019958098 0.0022493755 0.0018128095 0.0008309268 0.0008768165 0.0023422714 0.004078151 0.0023261933 0.0026761158 0.0035216692 0.0020382383 0.0010804728 0.019372363 0.0048912135 0.011416926 0.0016109395 0.00096066843 0.0025064023 0.011680094 0.0014794115 0.0400475 0.0012727405 0.016877573 0.000823446 0.0007294336 0.0013693209 0.0004007251 0.00042595886 0.0006510527 0.0010780165 0.0008597335 0.00053448626 0.00048748005 0.0011408775 0.00078325067 0.0007359095 0.0006040465 0.0010741085 0.000683209 0.00045074598 0.00047999926 0.0012881487 0.0015241846 0.00041155552 0.000788945 0.001187772 0.00052789866 0.00041278373 0.00039179283 0.0013043385 0.00042763367 0.00050333486 0.00047162522 0.0010601518 0.0003578501 0.00036789893 0.0004976405 0.0016180854 0.00053470954 0.00042406074 0.0005211995 0.0013376113 0.00095218275 0.0013799281 0.0010400543 0.002203151 0.0008681075 0.00059410936 0.000886642 0.0012456087 0.000817975 0.0010208498 0.0008282471 0.009012798 0.003584642 0.003165494 0.004815736 0.008689784 0.0010566906 0.005157954 0.00935457 0.0037769096 0.002185621 0.0010145971 0.0012558808 0.025091155 0.0009674793 0.0019792852 0.0014983927 0.002475809 0.0010227478 0.0011696841 0.0007982123 0.0016587273 0.0005057913 0.00086241314 0.0008874236 0.0022514968 0.0009088611 0.0006060563 0.0015892787 0.0015977644 0.0006807526 0.00062481407 0.0006622181 0.002602536 0.000993383 0.00062179944 0.00071101077 0.0023796752 0.0028250618 0.00054364186 0.0004981988 0.02112499 0.0032272385 0.00070665625 0.0034921928 0.005951477 0.0005925462 0.00065920345 0.00081373216 0.003931327 0.0015242962 0.0012728522 0.0018554612 0.0032113837 0.00095307594 0.0034091223 0.0016898788 0.005824415 0.0019164241 0.0013620635 0.0014791882 0.006655342 0.0019833047 0.003906316 0.06944402 0.0002237886 4.69018e-05 1.7867353e-06 1.7867353e-06 2.8476093e-06 2.1217481e-06 3.2384578e-06 3.1267866e-06 2.6801029e-06 2.1775836e-06 2.9592802e-06 3.5734706e-06 4.522674e-06 2.456761e-06 1.7867353e-06 0.008041872 0.0009725982 0.00011479774 5.5277123e-06 6.8119284e-06 1.0273728e-05 6.309409e-06 4.466838e-06 6.5885865e-06 1.1446273e-05 6.7560927e-06 6.9235994e-06 1.6248125e-05 9.88288e-06 5.6393833e-06 5.862725e-06 0.003155207 0.0016427356 0.00013093419 2.0770798e-05 2.1440823e-05 3.5623034e-05 1.3065502e-05 1.7811517e-05 1.4852237e-05 1.568977e-05 1.1613779e-05 9.324524e-06 5.1536146e-05 2.1496659e-05 1.6248125e-05 1.876072e-05 0.0041330536 0.0021177279 0.00018029276 1.6359794e-05 2.9536968e-05 5.025193e-05 2.233419e-05 4.2155785e-05 3.6460566e-05 3.2384578e-05 2.568432e-05 2.222252e-05 3.4617995e-05 2.6633523e-05 1.7308997e-05 1.4014705e-05 0.0029352151 0.0024393962 0.00021250983 1.853738e-05 8.8331726e-05 5.924144e-05 2.5460979e-05 0.00013210674 7.20836e-05 3.3166274e-05 1.3344679e-05 1.1837121e-05 3.3166274e-05 1.9821595e-05 8.263651e-06 6.365244e-05 0.0003139629 0.0038673885 0.00020100772 6.264741e-05 0.0001460656 0.0003020141 0.00022702705 0.00044082108 0.00010770663 3.65164e-05 3.7577276e-05 3.8191465e-05 4.69018e-05 4.2993317e-05 4.321666e-05 7.72763e-05 0.00038325472 0.0051233517 0.000208378 0.0009854962 0.00024958458 0.00040363468 0.0002706904 0.004493974 0.0019338059 0.00011105676 7.4987045e-05 7.0464375e-05 7.593625e-05 7.2753624e-05 7.1525246e-05 0.00015231919 0.00022462613 0.0027979158 0.00028448176 0.00033462202 0.00019883014 0.00043194325 0.00028805522 0.0010597573 0.00055143115 5.6393834e-05 2.4009256e-05 8.8220055e-05 2.5740155e-05 4.533841e-05 1.1446273e-05 6.67234e-05 0.00013875116 0.009381309 0.0012340199 0.00075506314 0.0003103336 0.00048532197 0.0003294293 0.0025022111 0.0011578045 0.0003615347 0.000260975 0.000104747356 0.00012786324 0.00018152114 0.00012618818 0.0001812978 0.001139602 0.013545464 0.002051228 0.002099749 0.0010587523 0.0026741286 0.002126885 0.007594072 0.003919818 0.00058800343 0.0004356284 0.00034802253 0.0003157496 0.00030614593 0.00030664844 0.00032462747 0.0014131401 0.006865586 0.0012206194 0.0023663633 0.0013292752 0.002716787 0.0018708236 0.007678104 0.0042871037 0.00031736886 0.0002020686 0.00029737974 0.00020078437 0.00024388937 0.0001882214 0.0001937491 0.0004392577 0.00685548 0.0028028293 0.0020407308 0.015171225 0.0019342526 0.0017296156 0.0041460632 0.0029110385 0.0015815399 0.0011669615 0.0011566877 0.0011849405 0.0013038142 0.0011045933 0.0011575252 0.0015514445 0.012524959 0.0024557002 0.0013780755 0.0016023666 0.0029132161 0.0025443668 0.002160777 0.0025916595 0.0066208593 0.0006529959 0.0005172599 0.00089777866 0.0037035113 0.0007792399 0.0018792547 0.005262829 0.111245155 0.023148552 0.011930143 0.014785793 0.033188216 0.0338411 0.014615997 0.025621338 0.077753976 0.0052771783 0.005047862 0.008172583 0.05397515 0.00937433 0.028400604 0.056143466 0.04406536 0.012467504 0.007512273 0.0085964305 0.014690537 0.01560931 0.009618778 0.013628268 0.032124273 0.0029624628 0.0032043422 0.0044197687 0.022017995 0.005590918 0.014461389 0.024479223 0.0014215712 0.00073786586 0.0008002341 0.0012255887 0.00069822266 0.0007059838 0.0009250822 0.0008160355 0.000672985 0.00060291146 0.00059425697 0.00066248793 0.0006398187 0.0006534984 0.00074702286 0.00067505095 37249.0 17.77433 662076.0 0.04227007 0.0017626375 0.0021613834 0.00087301154 0.007186486 0.0026265867 0.0012460805 0.0014182662 0.006021967 0.004203445 0.0009092612 0.0011660293 0.003961781 0.0058558234 0.023219388 0.0033530893 0.01304684 0.0100064045 0.008891729 0.0074508064 0.008586627 0.006381443 0.0079658525 0.005890562 0.008385744 0.0071955486 0.013607199 0.0069508636 0.008012676 0.009745105 0.007032425 0.009296516 0.017541792 0.0108099375 0.003520744 0.011772063 0.008539805 0.01066645 0.0059101977 0.0031718414 0.0046097427 0.00637238 0.0010044164 0.0025993995 0.0072740894 0.0037427726 0.0064343065 0.0055703577 0.007973405 0.001786804 0.009595575 0.011865707 0.009014071 0.0047215126 0.0060461336 0.0038666255 0.0034542861 0.0015164422 0.0019922184 0.0011584773 0.0031325708 0.00083978276 0.0012762885 0.020908475 0.001990708 0.0444813 0.0080308 0.023367409 0.022189295 0.05930588 0.010583377 0.013066476 0.017186848 0.03865417 0.0057470743 0.00938563 0.02393985 0.01654795 0.032890484 0.036704246 0.018461626 0.001779252 0.037089396 0.03392813 0.047740743 0.019324066 0.0051852055 0.005304527 0.004766824 0.007876739 0.0023985163 0.0005648898 0.0025797642 0.00085639715 0.0009183236 0.0017837831 5.8931737 0.0 401.0 0.0 17.0 8956264.0 9027584.0 1.0 3.0 883.0 1.0 1.0 1.0 1.0 0.0 1545013800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 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 12.0 0.0 5.0 1.0 5.0 1.0 6861312.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -264192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1709568.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -103424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6861312.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.663475 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8940063 0.0 -4.757611 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6024046 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.587708 0.0 5.3493257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -264068.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1709234.0 0.0 -1504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -165164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6860908.0 0.0 1328.0 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 0.0 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 -2.0 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 -1.0 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 0.0 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 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 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 -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 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 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 -1.0 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 0.0 0.0 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 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 -1.0 0.0 1.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -2.0 -2.0 -2.0 -1.0 -2.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 -2.0 1.0 2.0 -2.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 1.0 3.0 0.0 -1.0 0.0 -3.0 0.0 0.0 3.0 1.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 3.0 1.0 -1.0 1.0 -1.0 1.0 2.0 1.0 -2.0 0.0 -1.0 0.0 -1.0 2.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 -2.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 3.0 0.0 -1.0 -2.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 -2.0 0.0 1.0 -1.0 0.0 -2.0 0.0 1.0 0.0 -2.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 2.0 0.0 -1.0 3.0 0.0 -2.0 1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 -1.0 1.0 -2.0 0.0 1.0 -1.0 1.0 0.0 -1.0 2.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 1.0 1.0 2.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 2.0 -1.0 0.0 2.0 0.0 -1.0 2.0 1.0 0.0 1.0 1.0 -1.0 4.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 -1.0 0.0 1.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 -2.0 -1.0 -1.0 0.0 0.0 -2.0 1.0 0.0 0.0 2.0 0.0 -1.0 -1.0 0.0 3.0 -3.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 -1.0 -4.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 2.0 -1.0 3.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 2.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -2.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -3.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 -1.0 2.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 -1.0 1.0 1.0 0.0 2.0 1.0 0.0 0.0 0.0 1.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 1.0 -2.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -2.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 2.0 -1.0 -1.0 1.0 0.0 1.0 2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 3.0 1.0 -1.0 0.0 0.0 -3.0 1.0 -1.0 0.0 -1.0 2.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -2.0 1.0 1.0 -1.0 0.0 1.0 2.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 3.0 1.0 -2.0 2.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 3.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 2.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 2.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 2.0 0.0 -2.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 2.0 -1.0 0.0 -2.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 1.0 2.0 -1.0 -1.0 0.0 0.0 1.0 2.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 2.0 0.0 1.0 0.0 1.0 0.0 -1.0 3.0 0.0 -1.0 1.0 -2.0 -3.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 2.0 2.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 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 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 8553856.0 580.0 8553996.0 1328.0 8757248.0 0.0 0.0 13160.0 8943104.0 264068.0 8761344.0 56.0 6873040.0 0.0 0.0 0.0 0.0 24.0 8321768.0 64.0 8321696.0 0.0 0.0 3644.0 6868992.0 64.0 8553632.0 0.0 0.0


Input: 0.09455291 0.00786687 0.0043386123 0.004735169 0.006937391 0.002753953 0.0034091338 0.002862105 0.007592572 0.0021410927 0.0018903058 0.0019796486 0.0053135464 0.0019106823 0.0015376369 0.006015749 0.005531417 0.0016645977 0.0015862267 0.0014827772 0.0034859371 0.0018887384 0.0015846593 0.0014576985 0.002821352 0.0015674178 0.0012774455 0.0014310525 0.0021943848 0.0013291703 0.0013385748 0.0016379516 0.003785314 0.0012633387 0.0016254123 0.0014608334 0.0041348482 0.0013558164 0.0011112991 0.0013479793 0.0017194573 0.001354249 0.0013699231 0.0024733853 0.04777803 0.0016536257 0.0018354462 0.0016003335 0.0035893866 0.00223984 0.0021301208 0.004678742 0.002471818 0.0020141318 0.0018479855 0.0018793339 0.003087813 0.0030674366 0.0022711884 0.05007273 0.00281038 0.0021771432 0.0021928174 0.0027947058 0.0043307752 0.0027962732 0.0022163286 0.004515731 0.0074468018 0.010587907 0.0031097569 0.0022680536 0.002532947 0.0018448507 0.0017680472 0.0014138109 0.0016849741 0.0062712384 0.0018667945 0.0016896763 0.006801026 0.002746116 0.0017602101 0.0033323301 0.0017915585 0.0034922068 0.0040329657 0.0030376557 0.0017586427 0.0039107073 0.0016003335 0.0018542552 0.0014984513 0.0033448695 0.0027664923 0.0024216603 0.0015094234 0.002570565 0.001391867 0.0020219688 0.002592509 0.004355854 0.0027257395 0.0018856035 0.0027194698 0.0025721325 0.005109782 0.0017774517 0.002543919 0.0019279239 0.0023291828 0.0027116328 0.0024671156 0.0012570691 0.003015712 0.0032367178 0.008830831 0.0098606255 0.0019467329 0.0017758843 0.0021222837 0.0017508056 0.0012445297 0.0014232154 0.0022304354 0.0036473812 0.0024185255 0.002183413 0.0033307627 0.0017225922 0.0014906143 0.009763446 0.00305333 0.00657375 0.0014357547 0.001343277 0.002318211 0.007990696 0.0017962608 0.01987329 0.0018730642 0.009489147 0.0012460971 0.0014545637 0.0013824624 0.0010533048 0.001305659 0.0016348168 0.0017774517 0.001515693 0.0011316757 0.0011473498 0.0013338726 0.0011849678 0.0010893553 0.0012382601 0.0019012778 0.0016144403 0.0013714905 0.0016066033 0.0017084854 0.001391867 0.0009812035 0.0015109908 0.0015125582 0.0016348168 0.0009796361 0.0013777602 0.0016081707 0.0011489172 0.0012272882 0.001354249 0.0019420306 0.0015815245 0.0010830857 0.0013244681 0.0017649124 0.001058007 0.0012460971 0.0015031536 0.0018699294 0.002183413 0.002145795 0.002269621 0.0027476833 0.0012743106 0.0012382601 0.0013934344 0.0018605249 0.0019091149 0.0016442213 0.001534502 0.00514113 0.0026144527 0.0025015988 0.0036599205 0.0032179088 0.0013934344 0.0035219877 0.003489072 0.0023135087 0.0024216603 0.0014624008 0.0015454739 0.0033574088 0.001399704 0.0029436105 0.0017837214 0.002705363 0.001973379 0.0017680472 0.0017194573 0.002371503 0.0014091086 0.001849553 0.0014686704 0.002261784 0.0019671093 0.0016316819 0.0020611545 0.0020204014 0.0019200868 0.0015862267 0.0016348168 0.0029749589 0.001868362 0.0016755696 0.0016661651 0.0020580196 0.001639519 0.001515693 0.0018652271 0.059223313 0.0036223026 0.0013777602 0.0044702757 0.0037539655 0.0017696146 0.0014843446 0.0016191426 0.0038746567 0.0022163286 0.0017492382 0.0019608396 0.0022225983 0.001440457 0.003286875 0.0023856098 0.0041285786 0.0018605249 0.0015752548 0.0026943912 0.005163074 0.003268066 0.005785339 0.09767364 0.009646302 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015268602 7.850181e-07 1.8840434e-05 1.8840434e-05 0.0 0.0 7.850181e-07 7.850181e-07 1.5700361e-06 7.850181e-07 0.0 0.0 2.3550542e-06 7.850181e-07 1.8055416e-05 1.7270399e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012897847 6.986661e-05 1.0205235e-05 7.0651627e-06 8.321192e-05 6.2801446e-06 3.9250904e-06 1.4130325e-05 1.9625451e-05 8.635199e-06 1.8055416e-05 1.1775272e-05 4.7101084e-06 1.0205235e-05 4.7101084e-06 4.5531047e-05 0.0011900874 5.1026174e-05 4.945614e-05 7.850181e-06 0.00011382762 2.826065e-05 3.6110832e-05 3.1400723e-05 1.4130325e-05 7.0651627e-06 1.7270399e-05 1.0205235e-05 7.850181e-06 1.4915344e-05 1.0990253e-05 1.7270399e-05 0.021710461 0.00042783486 0.001387912 0.0014083225 0.002774254 0.0002480657 0.0006123141 0.00037445364 0.00017505903 0.00039250904 0.00027946645 0.00016877889 0.0005118318 0.00052439206 0.0010534943 0.0033206264 0.008873059 0.0002127399 0.026987351 0.027172616 0.0011673219 0.0004678708 0.0017238997 0.0011021654 0.000390939 0.0002778964 0.0002260852 0.0002480657 0.00053145725 0.00071436644 0.027222073 0.032907173 0.005992043 0.00018055415 0.016079526 0.016470464 0.0012992049 0.0007771679 0.0027514885 0.0014106774 0.00042861988 0.00034854803 0.00035561319 0.00031008213 0.00045766553 0.0009090509 0.017217016 0.023436716 0.004081309 8.949206e-05 0.0028456906 0.002822925 0.0015480557 0.00066569535 0.0029249773 0.0015119448 0.0003249975 0.00026455108 0.00013109802 0.00011932275 0.00015386354 0.00027004624 0.0028951466 0.00346664 0.007876871 0.00072614173 0.0023055982 0.010596174 0.0026824067 0.0013706416 0.00304116 0.0022938228 0.0013337458 0.0007551874 0.000781878 0.0014357981 0.0008297641 0.0018353723 0.0017655056 0.002170575 0.007898067 0.0008540997 0.0014043973 0.0016556032 0.0020559623 0.0013926221 0.002299318 0.00217764 0.0045640953 0.0005393074 0.00045531048 0.001347876 0.0012254133 0.00077873794 0.0014499284 0.008486831 0.029227009 0.005641925 0.0034603598 0.0050256858 0.012083784 0.01021858 0.004603346 0.008695645 0.022705862 0.0016548181 0.0015409905 0.0031557728 0.009508139 0.0027169476 0.010918031 0.02318394 0.04049751 0.009785251 0.0067503704 0.00914703 0.017781444 0.015485267 0.007686112 0.01560302 0.030581165 0.0029257624 0.0035773274 0.0049299137 0.014705744 0.0065313503 0.014113841 0.026586993 0.015514312 0.014226098 0.0146060465 0.015058217 0.014782676 0.0155017525 0.015024461 0.016183933 0.014270844 0.0151139535 0.01499306 0.015913887 0.014860393 0.016052835 0.016037134 0.017841106 2244.0 12.2847595 27567.0 0.023506366 0.002539268 0.0031196722 0.0019225886 0.011753183 0.0034824247 0.0024667175 0.0038451771 0.003663801 0.0031922227 0.0023216165 0.0035912504 0.0051873615 0.0075815287 0.010120797 0.006456996 0.018863134 0.01200711 0.011644358 0.010193347 0.012551239 0.009504117 0.008633511 0.009649218 0.012043385 0.011100229 0.011354155 0.009032539 0.011608082 0.008198208 0.009649218 0.017230747 0.030072188 0.012768891 0.003663801 0.0077266297 0.013421845 0.0056952154 0.0076178038 0.010882577 0.0065295463 0.008379584 0.0034824247 0.0029382957 0.0062756194 0.0047520585 0.00634817 0.005223637 0.013965974 0.0038089019 0.005078536 0.013276744 0.006456996 0.0063844454 0.011608082 0.0069648493 0.007472703 0.004498132 0.0035912504 0.0025755432 0.004099104 0.0029020205 0.0027931947 0.010483549 0.004643233 0.031740848 0.011063953 0.020314144 0.021474952 0.044799943 0.007327602 0.012224762 0.011680633 0.02684369 0.0068197483 0.005368738 0.02394167 0.014183626 0.022599485 0.02891138 0.0153444335 0.002394167 0.031305548 0.029709436 0.04788334 0.014546378 0.006928574 0.0051510865 0.0073638773 0.0077629047 0.0027206442 0.0026118185 0.004643233 0.0031196722 0.0020314143 0.0027931947 6.1592693 0.0 28.0 0.0 9.0 637992.0 643072.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1545380200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 249344.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 46592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -249344.0 0.0 299008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.979704 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9448757 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.680056 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6346464 0.0 6.327751 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 46450.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -249095.0 0.0 298544.0 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 0.0 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 -2.0 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 -1.0 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 0.0 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 -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 -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 -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 -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 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 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 -1.0 0.0 -1.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 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 -1.0 -2.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 -1.0 -1.0 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 295572.0 298544.0 323584.0 0.0 0.0 11304.0 626688.0 12096.0 622592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 274904.0 0.0 0.0 844.0 253952.0 0.0 0.0 0.0 0.0


Input: 0.14606915 0.00785666 0.00435529 0.004183915 0.0068815947 0.0041056145 0.0026962024 0.0026060827 0.008855362 0.0018600102 0.0022426494 0.0019279693 0.014129577 0.0015926061 0.0015083959 0.005568212 0.0053288774 0.010671051 0.0016827257 0.0014522558 0.003881054 0.0029148532 0.0016029476 0.0013591814 0.011431898 0.009950095 0.0012956545 0.0014389595 0.0025632388 0.0013724777 0.0013059961 0.0016472688 0.004888621 0.0013266793 0.0015024864 0.0015098733 0.006116316 0.0013621362 0.0011671232 0.0011966706 0.0020195663 0.0012720166 0.0013739552 0.0020077473 0.0102839805 0.0011996253 0.0016679519 0.009409376 0.0033019243 0.002281061 0.0025484653 0.005715949 0.002818824 0.002297312 0.0019368335 0.002057978 0.0027420009 0.0032398747 0.0020963897 0.0045237103 0.0027080213 0.0026784737 0.0023076537 0.002508576 0.0043405164 0.004378928 0.0027198403 0.0025780126 0.010004757 0.008952869 0.0033565871 0.0021407108 0.00255142 0.001811257 0.0016191987 0.0012867902 0.002671087 0.0039696964 0.00206241 0.0014862353 0.006886027 0.003061113 0.00203434 0.0032945375 0.0024908476 0.0036136496 0.0043804054 0.0035752382 0.0020446817 0.011111308 0.0012941771 0.0017019315 0.00200627 0.0035885344 0.0030064501 0.0023179953 0.0016856805 0.0022027604 0.009616208 0.0020890026 0.0026917702 0.0041455035 0.010894135 0.0013621362 0.0035205754 0.0024716419 0.004833958 0.0012203085 0.0028114372 0.0015911286 0.00234902 0.0027420009 0.010993118 0.0013074734 0.0029887217 0.002515963 0.017170006 0.009397558 0.0023460654 0.0020993443 0.0022219662 0.0017432979 0.0012232633 0.0012306501 0.001966381 0.003129072 0.0021953734 0.0016413593 0.0032236238 0.00200627 0.0012646297 0.008438744 0.0026090373 0.006899323 0.0013237245 0.0014064573 0.010719805 0.007862569 0.0014714616 0.024225932 0.0016280629 0.0074104937 0.0011656458 0.0014744163 0.0020313852 0.0010710941 0.0010046123 0.0013990705 0.0016265856 0.0015482849 0.0011656458 0.001031205 0.0014832806 0.0015054411 0.009304483 0.0010385918 0.00146112 0.0013739552 0.0010238182 0.0012734939 0.0017876191 0.0015335112 0.0010016576 0.0014374821 0.0013872514 0.0016812483 0.0011464399 0.00111837 0.0015482849 0.0010888225 0.00120258 0.0012720166 0.001381342 0.0012513333 0.0012055348 0.0012321275 0.0016428367 0.0011331437 0.0012926997 0.009416764 0.001639882 0.0015083959 0.0019722905 0.0015734002 0.0025130082 0.0014773711 0.0011405305 0.0013089508 0.0016576104 0.009793493 0.0013857741 0.0011907611 0.0063925846 0.0030788414 0.011818969 0.0037067242 0.00280996 0.0012986092 0.011046303 0.0035161432 0.002715408 0.0025647162 0.0015394207 0.0014906675 0.005008288 0.0010696166 0.002217534 0.0015630586 0.0022958347 0.0014108894 0.0018009153 0.0015157828 0.0015216923 0.0012587202 0.0013532719 0.0013237245 0.00220867 0.0012912224 0.0012084895 0.0015940834 0.0017802322 0.0019353562 0.0011006414 0.0011316662 0.01071685 0.001186329 0.0012794033 0.0010134766 0.0022825385 0.0016295403 0.0013311114 0.0011154151 0.011982957 0.0028454168 0.0011892838 0.0035456906 0.0044380226 0.0011287115 0.0012794033 0.0012749713 0.0037155882 0.0020033151 0.0015793097 0.0016029476 0.010341598 0.0012306501 0.0025927862 0.0031142982 0.0044202944 0.0016251082 0.0013857741 0.0023002669 0.0048531643 0.0027523423 0.0039238976 0.040216997 0.030303031 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013190992 5.9925427e-05 8.138021e-06 1.6276043e-05 5.1787406e-06 4.4389203e-06 5.1787406e-06 1.6276043e-05 2.0714962e-05 3.6991005e-06 8.138021e-06 1.6276043e-05 4.4389203e-06 5.9185604e-06 1.7015862e-05 4.4389203e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004876154 0.00015018348 7.398201e-05 6.584399e-05 0.0001657197 5.2527226e-05 0.00010061553 8.507931e-05 0.0001294685 2.0714962e-05 3.5511363e-05 4.5868845e-05 3.5511363e-05 2.8852983e-05 8.7298766e-05 0.00010727391 0.0022394354 0.00013020834 9.617661e-05 8.877841e-06 0.00015758167 2.2934422e-05 3.4031724e-05 4.8088306e-05 1.9975141e-05 3.5511363e-05 1.9975141e-05 1.10973015e-05 9.617661e-06 1.4796402e-05 1.5536221e-05 0.00016645952 0.019313004 0.00064142403 0.00056226325 0.0003314394 0.0018377131 0.00016645952 0.00012872869 0.00038840555 0.0004394531 0.00033365886 0.00014204545 0.00013686671 0.0005215732 0.00024044153 0.0003980232 0.0047215316 0.017596621 0.00053267047 0.000670277 0.0008826053 0.0024599019 0.00063624524 0.0014285926 0.0008404356 0.0002803918 0.00017903646 0.0004313151 0.00049567944 0.0003173828 0.00024266099 0.00016719934 0.0016268643 0.007145922 0.00019605232 0.0005297112 0.00028926964 0.0016771721 0.0009225556 0.00419404 0.0020855528 0.00015610203 0.00013390744 0.00011245265 0.00010579427 0.0001657197 8.433949e-05 7.8420926e-05 0.00030480587 0.012056848 0.0011518998 0.0017444957 0.00089592213 0.00320712 0.0010098544 0.0046475497 0.0027595288 0.0009758227 0.00024192117 0.0003728693 0.0003092448 0.00029148912 0.0007013494 0.0002648556 0.0011874113 0.00970422 0.0012806285 0.0016853102 0.013080759 0.002541282 0.0013272372 0.0025693951 0.0018125592 0.0014507872 0.0011341441 0.0011274858 0.0011652167 0.0012798887 0.0013257576 0.0010505446 0.0014041786 0.008146899 0.00082637905 0.0009965376 0.0015144116 0.0020160098 0.0010187322 0.0013501716 0.0011970289 0.002459162 0.0007250237 0.00092329545 0.000966205 0.0012502959 0.00069543085 0.0010512844 0.0051661637 0.04522002 0.025727242 0.018164063 0.00682558 0.012866211 0.01924716 0.016988488 0.02286192 0.032461084 0.008254913 0.0022786458 0.015843987 0.025867809 0.0033217922 0.01669922 0.030402167 0.04225926 0.009751569 0.0070194127 0.009463038 0.016231652 0.017199337 0.0074403705 0.014243016 0.029759262 0.0029370857 0.0029711174 0.0040690103 0.01484523 0.005291933 0.01311553 0.027645597 0.01591871 0.019454308 0.016755445 0.012425278 0.012805546 0.014827474 0.017331025 0.017852599 0.015065696 0.015342388 0.012853634 0.017487867 0.017285896 0.012745621 0.015321674 0.015011689 2768.0 10.689668 29589.0 0.022846328 0.0031092635 0.0028726892 0.003548616 0.008077326 0.0020953733 0.003041671 0.003548616 0.006015749 0.0024333368 0.0020953733 0.0026023185 0.0065902867 0.0032782452 0.008787049 0.01081483 0.015140762 0.010916219 0.0095305685 0.008753253 0.012132887 0.010544459 0.009665755 0.011761127 0.011896313 0.011828721 0.010409274 0.010510663 0.013518537 0.011592146 0.0110852 0.016019467 0.019263916 0.014701409 0.0043935245 0.014904187 0.014937984 0.008178715 0.007975937 0.008516679 0.0076379734 0.008111122 0.0020953733 0.003041671 0.00905742 0.0061509344 0.0054750075 0.0065902867 0.015005576 0.0049680625 0.007874548 0.019365305 0.009665755 0.0055426 0.016256042 0.014904187 0.007570381 0.005610193 0.0030078746 0.0045963028 0.0061509344 0.0052384334 0.006894454 0.008144919 0.0065902867 0.022575958 0.012234276 0.017607896 0.015816689 0.04870053 0.0056777857 0.008719456 0.009462976 0.024265774 0.005204637 0.0045625065 0.024874108 0.009767143 0.023319477 0.028253743 0.014262057 0.0024333368 0.027104666 0.018081043 0.048396364 0.012031498 0.005812971 0.010105107 0.009969921 0.0071648248 0.0031768563 0.0022981514 0.0049680625 0.0025009294 0.0028726892 0.0022981514 6.22231 0.0 0.0 0.0 16.0 676878.0 704512.0 1.0 0.0 361.0 1.0 1.0 0.0 0.0 0.0 1319180400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 269312.0 1024.0 4096.0 7.0 0.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 -39424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64512.0 0.0 0.0 -57856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -460800.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8799708 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.854833 0.0 0.0 -7.97088 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1877275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13.314698 0.0 5.5849752 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39036.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64336.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -461784.0 0.0 40624.0 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 0.0 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 -2.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 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 -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 -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 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 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 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 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 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 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 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 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 -1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 330844.0 40624.0 368640.0 0.0 0.0 0.0 0.0 17736.0 409600.0 28.0 276096.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 304832.0 0.0 0.0 1488.0 274432.0 64.0 330708.0 0.0 0.0


Input: 0.26085207 0.028505484 0.03168898 0.017547391 0.02220764 0.009377357 0.023079453 0.008659213 0.009773308 0.006652304 0.017230323 0.0050157355 0.0039026644 0.003888322 0.004544998 0.0025088922 0.004713009 0.009302059 0.011491321 0.005937746 0.0035773998 0.0054736673 0.00503981 0.0047253026 0.0033561173 0.0029207235 0.002510429 0.0031020523 0.0020734984 0.0023014399 0.0046003186 0.002847475 0.011588132 0.002112428 0.0023623952 0.0019331481 0.0021631385 0.00391547 0.0026733174 0.0020058844 0.01189342 0.0017041822 0.008676116 0.0037530938 0.004122922 0.00310615 0.0028023988 0.0014572884 0.0038924199 0.0023111722 0.0021672363 0.0022312647 0.0014572884 0.001467533 0.0015894432 0.0011279258 0.0014859731 0.0016073711 0.0012462505 0.0010188213 0.002479183 0.0013317926 0.0025124778 0.00091535127 0.0012821065 0.0027071245 0.0019541495 0.002708149 0.0023741764 0.002286073 0.0025237468 0.0015832965 0.0014352626 0.002834157 0.000968623 0.0010152357 0.0018972922 0.0020238124 0.0018097012 0.0016534717 0.002780373 0.0021421371 0.0024366681 0.0029924354 0.0026492428 0.0016708875 0.0021764564 0.0011991255 0.0032475248 0.0018209702 0.0013118157 0.0010592873 0.001170953 0.0008861543 0.00078063534 0.008314996 0.0012693007 0.010501697 0.0030057533 0.005714927 0.005827617 0.020046039 0.0024125935 0.0041147266 0.0025503826 0.009163757 0.0012278103 0.0025088922 0.0066891843 0.004454334 0.008800075 0.016037343 0.006196421 0.0012759597 0.011558423 0.011334579 0.012478896 0.0046131243 0.0017953588 0.0013809664 0.00179792 0.0036009622 0.0018424838 0.008645895 0.001391211 0.0049025333 0.0019541495 0.00070892344 0.0031276636 0.002773714 0.0013574039 0.001748746 0.0013886498 0.0012954244 0.0029570917 0.0010101134 0.0014659963 0.0009839898 0.0009896243 0.00090203335 0.0014250181 0.0014613862 0.0015689541 0.0011161446 0.0012216636 0.0018322392 0.00092969363 0.0027342725 0.0013097668 0.0011156324 0.0015873943 0.0011468782 0.001141756 0.0012467627 0.0012247369 0.000741706 0.0011550739 0.00073863263 0.0011263891 0.00083954155 0.0013988944 0.0008933255 0.0013292314 0.0007150702 0.0009906488 0.0007324859 0.00076424406 0.0006418216 0.0009435238 0.0007913921 0.0006244058 0.0007196802 0.0008994722 0.0007104601 0.00076782965 0.00064284605 0.0008441516 0.00068177533 0.00069714215 0.00067614083 0.00083595596 0.0007345348 0.00078114757 0.0007263392 0.0011760753 0.00067460415 0.0006628229 0.0007345348 0.0009107412 0.0007140457 0.00082161353 0.00068740983 0.0009670863 0.00083185814 0.0007965144 0.0007319737 0.0011648063 0.0006956055 0.0017697474 0.00068997097 0.0008538839 0.0006438705 0.000573183 0.00074836495 0.0009501828 0.00066179846 0.0007908799 0.0012380548 0.0011202424 0.00085644505 0.001123828 0.00059367216 0.0008426149 0.00061211234 0.0007365837 0.0006940688 0.0007831965 0.00076424406 0.0006075023 0.0008344193 0.0013358904 0.0007929288 0.0011550739 0.00077704975 0.0010475061 0.0011043634 0.00062901585 0.00073504704 0.0010290658 0.00076987856 0.001130487 0.00058445206 0.00089998444 0.00071865576 0.0006489928 0.0007785864 0.00083954155 0.0008569573 0.00083800487 0.00071814354 0.0008026611 0.0009614518 0.0006208202 0.00063618703 0.00089844776 0.00059777 0.0006259425 0.00061057566 0.00083595596 0.0006356748 0.0006551395 0.0006407971 0.0008646407 0.0007345348 0.0018824375 0.003326408 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019159593 1.7685777e-05 1.3584728e-05 1.3841043e-05 1.2559465e-05 4.7931022e-05 1.3328412e-05 1.1534203e-05 1.1790518e-05 5.382628e-06 6.151575e-06 5.382628e-06 7.6894685e-06 5.382628e-06 5.895259e-06 5.6389435e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00088275096 1.7942093e-05 6.56168e-05 0.00033115977 0.00018736672 1.7942093e-06 1.1534203e-05 2.5631562e-06 7.433153e-06 1.1277887e-05 1.2559465e-05 1.10215715e-05 1.2046834e-05 9.483678e-06 5.1263123e-07 9.739993e-06 0.014676119 0.00041471867 0.00064078905 0.0004828986 0.00042471496 0.00037806554 0.00025042036 0.0002791277 0.00016763041 0.00020377092 0.00020197671 0.00018557251 0.0001279015 0.00015122621 0.00015865937 0.00015404569 0.022077745 0.0007058932 0.0029204602 0.00033551714 0.00070717477 0.0009545194 0.0038498605 0.0016878383 0.00035602238 0.00048007915 0.0003068098 0.0003316724 0.00021889353 0.00026656824 0.0002919435 0.00020453986 0.032972697 0.00092786254 0.004547039 0.001764733 0.004880762 0.00576582 0.029585999 0.0148455445 0.00052262755 0.0010708866 0.00036166134 0.00019890092 0.0003362861 0.00019069882 0.0004152313 0.00030091454 0.07803785 0.0062230867 0.008103674 0.006640625 0.009761011 0.010049366 0.04236128 0.024494803 0.0016273479 0.0018180467 0.0012703002 0.0011044639 0.0010952366 0.0010496124 0.0010872908 0.0016014599 0.19809583 0.034013595 0.030982407 0.009491367 0.0066816355 0.009841494 0.016328586 0.020717734 0.008459184 0.0055981893 0.0042789327 0.003717858 0.0047828495 0.0050581326 0.004104382 0.004776954 0.08424377 0.019675812 0.01160187 0.0042338213 0.0029091823 0.0045244833 0.005355202 0.0073085837 0.0075597726 0.0054438873 0.002758725 0.002725404 0.00330032 0.0027656455 0.0030386217 0.0026336429 0.014630239 0.006676253 0.0026282603 0.0010511504 0.0009124836 0.0010257751 0.0018780245 0.0018400898 0.0025364994 0.0016478531 0.00077714893 0.0004977649 0.000525447 0.0005649196 0.0004975086 0.00063079275 0.002819728 0.0011985318 0.0005287791 0.00044086287 0.00039780184 0.00043778706 0.0011167672 0.00070717477 0.0004990465 0.00021146038 0.00013969201 0.00014020465 0.00015532726 0.00017096252 0.00018557251 0.00029912032 0.001095493 0.00043906865 0.00048520547 0.0005480028 0.00049802125 0.00022607038 0.00017813935 0.00012738886 0.00015942831 0.000110728346 9.765625e-05 0.00013354044 0.0001394357 0.00014661254 0.00020607776 0.0011834092 0.00020864091 8.125205e-05 7.099943e-05 7.176837e-05 5.9465223e-05 3.8959974e-05 3.511524e-05 3.6396817e-05 5.485154e-05 3.511524e-05 3.1270505e-05 3.4346293e-05 3.0501558e-05 3.819103e-05 4.92126e-05 0.00017378198 0.0036763349 0.0036184075 0.0036458333 0.003413355 0.0036250718 0.0033618356 0.003362092 0.0034353982 0.0036276348 0.0034710262 0.003331334 0.0032810962 0.0033851604 0.0032223999 0.0032964752 0.0033646552 16199.0 16.978703 275038.0 0.016045056 0.00023633098 0.0015306976 0.00019270064 0.0003744937 0.0002726896 0.00030541234 0.0013816273 0.00025087444 0.000392673 0.00019997236 0.00066172675 0.00038540128 0.00073807983 0.007006305 0.0005090206 0.005217461 0.0055192374 0.0040758005 0.0029159607 0.0027305319 0.0021269787 0.0018361099 0.001494339 0.0018579251 0.0024214836 0.000629004 0.00014179859 0.009147827 0.0010689432 0.009129647 0.00015997789 0.00015634204 0.010089515 0.006450018 0.012409194 0.008329758 0.008551545 0.010140417 0.0052283686 0.0033413565 0.010787601 0.00028723304 0.000996226 0.005104749 0.007049935 0.005501058 0.005028396 0.01004952 0.000498113 0.010304031 0.014030788 0.009351435 0.003981268 0.0035122419 0.0025632821 0.0015161542 0.00053083576 0.0011961984 9.816825e-05 0.00014543445 0.00011634756 0.00013816272 0.034220725 0.0008035253 0.056606725 0.011220268 0.027679812 0.027334405 0.118430905 0.009166006 0.019859074 0.009209637 0.047935195 0.0011816549 0.010511274 0.03377715 0.02123343 0.04625543 0.043739412 0.019768177 0.0014325293 0.055279635 0.044957425 0.069604926 0.018041143 0.0065154633 0.0034213455 0.0051192925 0.01367811 0.0022178753 0.000890786 0.00015997789 0.0010580356 0.000130891 0.00011998342 5.243002 0.0 3.0 0.0 7.0 1952256.0 1974272.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1516152700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 8.0 0.0 4.0 0.0 4.0 0.0 1822208.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1822208.0 0.0 129024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.884457 0.0 7.886908 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1821812.0 0.0 128952.0 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 0.0 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 -2.0 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 -1.0 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 0.0 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 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 1829908.0 128952.0 1835008.0 0.0 0.0 0.0 0.0 12.0 1966080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0