Cody

# Problem 2024. Triangle sequence

Solution 1880451

Submitted on 21 Jul 2019 by John Simpson
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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)

v = 3 4 5 h = 5 area = 25

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

v = 3 4 5 h = 5 area = 25 h = 5.0000 6.4031 area = 41

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

v = 3 4 5 h = 5 area = 25 h = 5.0000 6.4031 area = 41 h = 5.0000 6.4031 8.1240 area = 66.0000

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

v = 3 4 5 h = 5 area = 25 h = 5.0000 6.4031 area = 41 h = 5.0000 6.4031 8.1240 area = 66.0000 h = 5.0000 6.4031 8.1240 10.3441 area = 107.0000 h = 5.0000 6.4031 8.1240 10.3441 13.1529 area = 173.0000 h = 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 area = 280 h = 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 area = 453 h = 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 area = 733 h = 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 area = 1.1860e+03 h = 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 area = 1.9190e+03 h = 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 area = 3.1050e+03 h = 5.0000 6.4031 8.1240 10.3441 13.1529 16.7332 21.2838 27.0740 34.4384 43.8064 55.7225 70.8802 area = 5.0240e+03 h = 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 area = 8.1290e+03 h = 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 area = 1.3153e+04 h = 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 area = 2.1282e+04 h = 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 185.5667 area = 3.4435e+04 h = 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 185.5667 236.0445 area = 5.5717e+04 h = 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 185.5667 236.0445 300.2532 area = 90152 h = Columns 1 through 18 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 185.5667 236.0445 300.2532 Column 19 381.9280 area = 1.4587e+05 h = Columns 1 through 18 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 185.5667 236.0445 300.2532 Columns 19 through 20 381.9280 485.8199 area = 2.3602e+05 h = Columns 1 through 18 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 185.5667 236.0445 300.2532 Columns 19 through 21 381.9280 485.8199 617.9725 area = 3.8189e+05 h = Columns 1 through 18 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 185.5667 236.0445 300.2532 Columns 19 through 22 381.9280 485.8199 617.9725 786.0732 area = 6.1791e+05 h = Columns 1 through 18 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 185.5667 236.0445 300.2532 Columns 19 through 23 381.9280 485.8199 617.9725 786.0732 999.9005 area = 9.9980e+05 h = 1.0e+03 * Columns 1 through 18 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 0.1856 0.2360 0.3003 Columns 19 through 24 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 area = 1.6177e+06 h = 1.0e+03 * Columns 1 through 18 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 0.1856 0.2360 0.3003 Columns 19 through 25 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 area = 2.6175e+06 h = 1.0e+03 * Columns 1 through 18 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 0.1856 0.2360 0.3003 Columns 19 through 26 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 area = 4.2352e+06 h = 1.0e+03 * Columns 1 through 18 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 0.1856 0.2360 0.3003 Columns 19 through 27 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 2.6178 area = 6.8527e+06 h = 1.0e+03 * Columns 1 through 18 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 0.1856 0.2360 0.3003 Columns 19 through 28 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 2.6178 3.3299 area = 1.1088e+07 h = 1.0e+03 * Columns 1 through 18 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 0.1856 0.2360 0.3003 Columns 19 through 29 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 2.6178 3.3299 4.2356 area = 1.7941e+07 h = 1.0e+03 * Columns 1 through 18 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 0.1856 0.2360 0.3003 Columns 19 through 30 0.3819 0.4858 0.6180 0.7861 0.9999 1.2719 1.6179 2.0580 2.6178 3.3299 4.2356 5.3878 area = 2.9029e+07 h = 1.0e+03 * Columns 1 through 18 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 0.1856 0.2360 0.3003 Columns 19 through 31 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 area = 4.6969e+07 h = 1.0e+03 * Columns 1 through 18 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 0.1856 0.2360 0.3003 Columns 19 through 32 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 area = 7.5998e+07 h = 1.0e+04 * Columns 1 through 18 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 0.0186 0.0236 0.0300 Columns 19 through 33 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 1.1089 area = 1.2297e+08 h = 1.0e+04 * Columns 1 through 18 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 0.0186 0.0236 0.0300 Columns 19 through 34 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 1.1089 1.4106 area = 1.9897e+08 h = 1.0e+04 * Columns 1 through 18 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 0.0186 0.0236 0.0300 Columns 19 through 35 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 1.1089 1.4106 1.7942 area = 3.2193e+08 h = 1.0e+04 * Columns 1 through 18 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 0.0186 0.0236 0.0300 Columns 19 through 36 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 1.1089 1.4106 1.7942 2.2823 area = 5.2090e+08 h = 1.0e+04 * Columns 1 through 18 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 0.0186 0.0236 0.0300 Columns 19 through 36 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 1.1089 1.4106 1.7942 2.2823 Column 37 2.9032 area = 8.4283e+08 h = 1.0e+04 * Columns 1 through 18 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 0.0186 0.0236 0.0300 Columns 19 through 36 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 1.1089 1.4106 1.7942 2.2823 Columns 37 through 38 2.9032 3.6929 area = 1.3637e+09 h = 1.0e+04 * Columns 1 through 18 0.0005 0.0006 0.0008 0.0010 0.0013 0.0017 0.0021 0.0027 0.0034 ...