Cody

# Problem 2024. Triangle sequence

Solution 3359618

Submitted on 24 Oct 2020 by BunnY
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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)

s = 3 4 5

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

s = 3 4 5 s = 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)

s = 3 4 5 s = 3.0000 4.0000 5.0000 6.4031 s = 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)

s = 3 4 5 s = 3.0000 4.0000 5.0000 6.4031 s = 3.0000 4.0000 5.0000 6.4031 8.1240 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 s = 3.0000 4.0000 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 s = 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 40 1.1089 1.4106 1.7942 2.2823 2.9032 3.6929 s = 1.0e+04 *...

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