Cody

# Problem 2024. Triangle sequence

Solution 2966086

Submitted on 19 Sep 2020 by Janos Dóra
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### Test Suite

Test Status Code Input and Output
1   Pass
n = 1; area_correct = 25; tolerance = 1e-12; assert(abs(triangle_sequence(n)-area_correct)<tolerance)

sides = 3 4 sides = 3 4 5

2   Pass
n = 2; area_correct = 41; tolerance = 1e-12; assert(abs(triangle_sequence(n)-area_correct)<tolerance)

sides = 3 4 sides = 3 4 5 sides = 3.0000 4.0000 5.0000 6.4031

3   Pass
n = 3; area_correct = 66; tolerance = 1e-12; assert(abs(triangle_sequence(n)-area_correct)<tolerance)

sides = 3 4 sides = 3 4 5 sides = 3.0000 4.0000 5.0000 6.4031 sides = 3.0000 4.0000 5.0000 6.4031 8.1240

4   Pass
n = 50; area_correct = 439116598409; tolerance = 1e-3; assert(abs(triangle_sequence(n)-area_correct)<tolerance)

sides = 3 4 sides = 3 4 5 sides = 3.0000 4.0000 5.0000 6.4031 sides = 3.0000 4.0000 5.0000 6.4031 8.1240 sides = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 sides = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 sides = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 sides = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 sides = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 sides = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 sides = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 sides = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 sides = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 sides = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 sides = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 sides = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 sides = Columns 1 through 17 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 Column 18 185.5667 sides = Columns 1 through 17 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 Columns 18 through 19 185.5667 236.0445 sides = Columns 1 through 17 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 Columns 18 through 20 185.5667 236.0445 300.2532 sides = Columns 1 through 17 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 Columns 18 through 21 185.5667 236.0445 300.2532 381.9280 sides = Columns 1 through 17 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 Columns 18 through 22 185.5667 236.0445 300.2532 381.9280 485.8199 sides = Columns 1 through 17 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 Columns 18 through 23 185.5667 236.0445 300.2532 381.9280 485.8199 617.9725 sides = Columns 1 through 17 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 Columns 18 through 24 185.5667 236.0445 300.2532 381.9280 485.8199 617.9725 786.0732 sides = Columns 1 through 17 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 90.1610 114.6865 145.8835 Columns 18 through 25 185.5667 236.0445 300.2532 381.9280 485.8199 617.9725 786.0732 999.9005 sides = 1.0e+03 * Columns 1 through 17 0.0030 0.0040 0.0050 0.0064 0.0081 0.0103 0.0132 0.0167 0.0213 0.0271 0.0344 0.0438 0.0557 0.0709 0.0902 0.1147 0.1459 Columns 18 through 26 0.1856 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 sides = 1.0e+03 * Columns 1 through 17 0.0030 0.0040 0.0050 0.0064 0.0081 0.0103 0.0132 0.0167 0.0213 0.0271 0.0344 0.0438 0.0557 0.0709 0.0902 0.1147 0.1459 Columns 18 through 27 0.1856 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 sides = 1.0e+03 * Columns 1 through 17 0.0030 0.0040 0.0050 0.0064 0.0081 0.0103 0.0132 0.0167 0.0213 0.0271 0.0344 0.0438 0.0557 0.0709 0.0902 0.1147 0.1459 Columns 18 through 28 0.1856 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 sides = 1.0e+03 * Columns 1 through 17 0.0030 0.0040 0.0050 0.0064 0.0081 0.0103 0.0132 0.0167 0.0213 0.0271 0.0344 0.0438 0.0557 0.0709 0.0902 0.1147 0.1459 Columns 18 through 29 0.1856 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 2.6178 sides = 1.0e+03 * Columns 1 through 17 0.0030 0.0040 0.0050 0.0064 0.0081 0.0103 0.0132 0.0167 0.0213 0.0271 0.0344 0.0438 0.0557 0.0709 0.0902 0.1147 0.1459 Columns 18 through 30 0.1856 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 2.6178 3.3299 sides = 1.0e+03 * Columns 1 through 17 0.0030 0.0040 0.0050 0.0064 0.0081 0.0103 0.0132 0.0167 0.0213 0.0271 0.0344 0.0438 0.0557 0.0709 0.0902 0.1147 0.1459 Columns 18 through 31 0.1856 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 2.6178 3.3299 4.2356 sides = 1.0e+03 * Columns 1 through 17 0.0030 0.0040 0.0050 0.0064 0.0081 0.0103 0.0132 0.0167 0.0213 0.0271 0.0344 0.0438 0.0557 0.0709 0.0902 0.1147 0.1459 Columns 18 through 32 0.1856 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 2.6178 3.3299 4.2356 5.3878 sides = 1.0e+03 * Columns 1 through 17 0.0030 0.0040 0.0050 0.0064 0.0081 0.0103 0.0132 0.0167 0.0213 0.0271 0.0344 0.0438 0.0557 0.0709 0.0902 0.1147 0.1459 Columns 18 through 33 0.1856 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 2.6178 3.3299 4.2356 5.3878 6.8534 sides = 1.0e+03 * Columns 1 through 17 0.0030 0.0040 0.0050 0.0064 0.0081 0.0103 0.0132 0.0167 0.0213 0.0271 0.0344 0.0438 0.0557 0.0709 0.0902 0.1147 0.1459 Columns 18 through 34 0.1856 0.2360 0.3003 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 2.6178 3.3299 4.2356 5.3878 6.8534 8.7177 sides = 1.0e+04 * Columns 1 through 17 0.0003 0.0004 0.0005 0.0006 0.0008 0.0010 0.0013 0.0017 0.0021 0.0027 0.0034 0.0044 0.0056 0.0071 0.0090 0.0115 0.0146 Columns 18 through 34 0.0186 0.0236 0.0300 0.0382 0.0486 0.0618 0.0786 0.1000 0.1272 0.1618 0.2058 0.2618 0.3330 0.4236 0.5388 0.6853 0.8718 Column 35 1.1089 sides = 1.0e+04 * Columns 1 through 17 0.0003 0.0004 0.0005 0.0006 0.0008 0.0010 0.0013 0.0017 0.0021 0.0027 0.0034 0.0044 0.0056 0.0071 0.0090 0.0115 0.0146 Columns 18 through 34 0.0186 0.0236 0.0300 0.0382 0.0486 0.0618 0.0786 0.1000 0.1272 0.1618 0.2058 0.2618 0.3330 0.4236 0.5388 0.6853 0.8718 Columns 35 through 36 1.1089 1.4106 sides = 1.0e+04 * Columns 1 through 17 0.0003 0.0004 0.0005 0.0006 0.0008 0.0010 0.0013 0.0017 0.0021 0.0027 0.0034 0.0044 0.0056 0.0071 0.0090 0.0115 0.0146 Columns 18 through 34 0.0186 0.0236 0.0300 0.0382 0.0486 0.0618 0.0786 0.1000 0.1272 0.1618 0.2058 0.2618 0.3330 0.4236 0.5388 0.6853 0.8718 Columns 35 through 37 1.1089 1.4106 1.7942 sides = 1.0e+04 * Columns 1 through 17 0.0003 0.0004 0.0005 0.0006 0.0008 0.0010 0.0013 0.0017 0.0021 0.0027 0.0034 0.0044 0.0056 0.0071 0.0090 0.0115 0.0146 Columns 18 through 34 0.0186 0.0236 0.0300 0.0382 0.0486 0.0618 0.0786 0.1000 0.1272 0.1618 0.2058 0.2618 0.3330 0.4236 0.5388 0.6853 0.8718 Columns 35 through 38 1.1089 1.4106 1.7942 2.2823 sides = 1.0e+04 * Columns 1 through 17 0.0003 0.0004 0.0005 0.0006 0.0008 0.0010 0.0013 0.0017 0.0021 0.0027 0.0034 0.0044 0.0056 0.0071 0.0090 0.0115 0.0146 Columns 18 through 34 0.0186 0.0236 0.0300 0.0382 0.0486 0.0618 0.0786 0.1000 0.1272 0.1618 0.2058 0.2618 0.3330 0.4236 0.5388 0.6853 0.8718 Columns 35 through 39 1.1089 1.4106 1.7942 2.2823 2.9032 sides = 1.0e+04 * Columns 1 through 17 0.0003 0.0004 0.0005 0.0006 0.0008 0.0010 0.0013 0.0017 0.0021 0.0027 0.0034 0.0044 0.0056 0.0071 0.0090 0.0115 0.0146 Columns 18 through 34 0.0186 0.0236 0.0300 0.0382 0.0486 0.0618 0.0786 0.1000 0.1272 0.1618 ...

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