Cody

Problem 292. Infernal Recursion

Solution 1003818

Submitted on 9 Oct 2016 by Jang geun Choi
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Test Suite

Test Status Code Input and Output
1   Pass
assert(abs(get_recurse(exp(1),pi,5,7/9)-20.066097534719034)<100*eps)

xn = 2.7183 xn = 2.7183 3.1416 xn = 2.7183 3.1416 5.3022 xn = 2.7183 3.1416 5.3022 8.9154 xn = 2.7183 3.1416 5.3022 8.9154 20.0661 xn = 20.0661
2   Pass
assert(abs(get_recurse(1.01,1.02,5,pi)-4.1026063901404743)<100*eps)

xn = 1.0100 xn = 1.0100 1.0200 xn = 1.0100 1.0200 1.0980 xn = 1.0100 1.0200 1.0980 1.4274 xn = 1.0100 1.0200 1.0980 1.4274 4.1026 xn = 4.1026
3   Pass
assert(abs(get_recurse(3.3,1,5,1/2)-1.5647419554132411)<100*eps)

xn = 3.3000 xn = 3.3000 1.0000 xn = 3.3000 1.0000 1.8166 xn = 3.3000 1.0000 1.8166 1.3478 xn = 3.3000 1.0000 1.8166 1.3478 1.5647 xn = 1.5647
4   Pass
assert(abs(get_recurse(8,9,35,5/11)-1.3002291773509134)<1000*eps)

xn = 8 xn = 8 9 xn = 8.0000 9.0000 6.9862 xn = 8.0000 9.0000 6.9862 6.5689 xn = 8.0000 9.0000 6.9862 6.5689 5.6929 xn = 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 xn = 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 xn = 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 xn = 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Column 10 3.5791 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 11 3.5791 3.3090 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 12 3.5791 3.3090 3.0757 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 13 3.5791 3.3090 3.0757 2.8709 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 14 3.5791 3.3090 3.0757 2.8709 2.6914 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 15 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 16 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 17 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 18 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 2.1573 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 18 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 2.1573 Column 19 2.0581 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 18 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 2.1573 Columns 19 through 20 2.0581 1.9691 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 18 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 2.1573 Columns 19 through 21 2.0581 1.9691 1.8890 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 18 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 2.1573 Columns 19 through 22 2.0581 1.9691 1.8890 1.8169 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 18 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 2.1573 Columns 19 through 23 2.0581 1.9691 1.8890 1.8169 1.7516 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 18 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 2.1573 Columns 19 through 24 2.0581 1.9691 1.8890 1.8169 1.7516 1.6925 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 18 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 2.1573 Columns 19 through 25 2.0581 1.9691 1.8890 1.8169 1.7516 1.6925 1.6388 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 18 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 2.1573 Columns 19 through 26 2.0581 1.9691 1.8890 1.8169 1.7516 1.6925 1.6388 1.5900 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 18 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 2.1573 Columns 19 through 27 2.0581 1.9691 1.8890 1.8169 1.7516 1.6925 1.6388 1.5900 1.5454 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 18 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 2.1573 Columns 19 through 27 2.0581 1.9691 1.8890 1.8169 1.7516 1.6925 1.6388 1.5900 1.5454 Column 28 1.5048 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 18 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 2.1573 Columns 19 through 27 2.0581 1.9691 1.8890 1.8169 1.7516 1.6925 1.6388 1.5900 1.5454 Columns 28 through 29 1.5048 1.4676 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 18 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 2.1573 Columns 19 through 27 2.0581 1.9691 1.8890 1.8169 1.7516 1.6925 1.6388 1.5900 1.5454 Columns 28 through 30 1.5048 1.4676 1.4335 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 18 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 2.1573 Columns 19 through 27 2.0581 1.9691 1.8890 1.8169 1.7516 1.6925 1.6388 1.5900 1.5454 Columns 28 through 31 1.5048 1.4676 1.4335 1.4022 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 18 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 2.1573 Columns 19 through 27 2.0581 1.9691 1.8890 1.8169 1.7516 1.6925 1.6388 1.5900 1.5454 Columns 28 through 32 1.5048 1.4676 1.4335 1.4022 1.3735 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 18 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 2.1573 Columns 19 through 27 2.0581 1.9691 1.8890 1.8169 1.7516 1.6925 1.6388 1.5900 1.5454 Columns 28 through 33 1.5048 1.4676 1.4335 1.4022 1.3735 1.3471 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 18 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 2.1573 Columns 19 through 27 2.0581 1.9691 1.8890 1.8169 1.7516 1.6925 1.6388 1.5900 1.5454 Columns 28 through 34 1.5048 1.4676 1.4335 1.4022 1.3735 1.3471 1.3227 xn = Columns 1 through 9 8.0000 9.0000 6.9862 6.5689 5.6929 5.1871 4.6591 4.2534 3.8865 Columns 10 through 18 3.5791 3.3090 3.0757 2.8709 2.6914 2.5330 2.3929 2.2683 2.1573 Columns 19 through 27 2.0581 1.9691 1.8890 1.8169 1.7516 1.6925 1.6388 1.5900 1.5454 Columns 28 through 35 1.5048 1.4676 1.4335 1.4022 1.3735 1.3471 1.3227 1.3002 xn = 1.3002
5   Pass
assert(abs(get_recurse(2,5,50,10/21)-1.3133198875358512)<1000*eps)

xn = 2 xn = 2 5 xn = 2.0000 5.0000 2.9936 xn = 2.0000 5.0000 2.9936 3.6274 xn = 2.0000 5.0000 2.9936 3.6274 3.1134 xn = 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 xn = 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 xn = 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 xn = 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Column 10 2.7149 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 11 2.7149 2.6255 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 12 2.7149 2.6255 2.5479 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 13 2.7149 2.6255 2.5479 2.4720 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 14 2.7149 2.6255 2.5479 2.4720 2.4020 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 15 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 16 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 17 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Column 19 2.1066 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 20 2.1066 2.0571 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 21 2.1066 2.0571 2.0102 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 22 2.1066 2.0571 2.0102 1.9659 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 23 2.1066 2.0571 2.0102 1.9659 1.9240 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 24 2.1066 2.0571 2.0102 1.9659 1.9240 1.8842 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 25 2.1066 2.0571 2.0102 1.9659 1.9240 1.8842 1.8465 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 26 2.1066 2.0571 2.0102 1.9659 1.9240 1.8842 1.8465 1.8107 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 27 2.1066 2.0571 2.0102 1.9659 1.9240 1.8842 1.8465 1.8107 1.7767 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 27 2.1066 2.0571 2.0102 1.9659 1.9240 1.8842 1.8465 1.8107 1.7767 Column 28 1.7444 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 27 2.1066 2.0571 2.0102 1.9659 1.9240 1.8842 1.8465 1.8107 1.7767 Columns 28 through 29 1.7444 1.7137 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 27 2.1066 2.0571 2.0102 1.9659 1.9240 1.8842 1.8465 1.8107 1.7767 Columns 28 through 30 1.7444 1.7137 1.6845 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 27 2.1066 2.0571 2.0102 1.9659 1.9240 1.8842 1.8465 1.8107 1.7767 Columns 28 through 31 1.7444 1.7137 1.6845 1.6567 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 27 2.1066 2.0571 2.0102 1.9659 1.9240 1.8842 1.8465 1.8107 1.7767 Columns 28 through 32 1.7444 1.7137 1.6845 1.6567 1.6302 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 27 2.1066 2.0571 2.0102 1.9659 1.9240 1.8842 1.8465 1.8107 1.7767 Columns 28 through 33 1.7444 1.7137 1.6845 1.6567 1.6302 1.6050 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 27 2.1066 2.0571 2.0102 1.9659 1.9240 1.8842 1.8465 1.8107 1.7767 Columns 28 through 34 1.7444 1.7137 1.6845 1.6567 1.6302 1.6050 1.5809 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 27 2.1066 2.0571 2.0102 1.9659 1.9240 1.8842 1.8465 1.8107 1.7767 Columns 28 through 35 1.7444 1.7137 1.6845 1.6567 1.6302 1.6050 1.5809 1.5580 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 27 2.1066 2.0571 2.0102 1.9659 1.9240 1.8842 1.8465 1.8107 1.7767 Columns 28 through 36 1.7444 1.7137 1.6845 1.6567 1.6302 1.6050 1.5809 1.5580 1.5361 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 27 2.1066 2.0571 2.0102 1.9659 1.9240 1.8842 1.8465 1.8107 1.7767 Columns 28 through 36 1.7444 1.7137 1.6845 1.6567 1.6302 1.6050 1.5809 1.5580 1.5361 Column 37 1.5152 xn = Columns 1 through 9 2.0000 5.0000 2.9936 3.6274 3.1134 3.1721 2.9758 2.9125 2.7965 Columns 10 through 18 2.7149 2.6255 2.5479 2.4720 2.4020 2.3356 2.2733 2.2144 2.1590 Columns 19 through 27 2.1066 2.0571 2.0102 1.9659 1.9240 1.8842 1.8465 1.8107 1.7767 Columns 28 through 36 1.7444 1.7137 1.6845 1.6567 1.6302 1.6050 1.5809 1.5580 1.5361 Columns 37 th...
6   Pass
assert(abs(get_recurse(1.5,2,600,1/2)-1.8171205928321394)<1000*eps)

xn = 1.5000 xn = 1.5000 2.0000 xn = 1.5000 2.0000 1.7321 xn = 1.5000 2.0000 1.7321 1.8612 xn = 1.5000 2.0000 1.7321 1.8612 1.7955 xn = 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 xn = 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 xn = 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 xn = 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Column 10 1.8178 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 11 1.8178 1.8168 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 12 1.8178 1.8168 1.8173 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 13 1.8178 1.8168 1.8173 1.8170 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 14 1.8178 1.8168 1.8173 1.8170 1.8172 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 15 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 16 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 17 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Column 19 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 20 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 21 1.8171 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 22 1.8171 1.8171 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 23 1.8171 1.8171 1.8171 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 24 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 25 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 26 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 27 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 27 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 Column 28 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 27 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 Columns 28 through 29 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 27 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 Columns 28 through 30 1.8171 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 27 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 Columns 28 through 31 1.8171 1.8171 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 27 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 Columns 28 through 32 1.8171 1.8171 1.8171 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 27 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 Columns 28 through 33 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 27 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 Columns 28 through 34 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 27 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 Columns 28 through 35 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 27 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 Columns 28 through 36 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 27 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 Columns 28 through 36 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 Column 37 1.8171 xn = Columns 1 through 9 1.5000 2.0000 1.7321 1.8612 1.7955 1.8280 1.8117 1.8198 1.8158 Columns 10 through 18 1.8178 1.8168 1.8173 1.8170 1.8172 1.8171 1.8171 1.8171 1.8171 Columns 19 through 27 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 Columns 28 through 36 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 1.8171 C...

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