Cody

# Problem 2024. Triangle sequence

Solution 1978477

Submitted on 16 Oct 2019 by Alvin LAU
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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)

a = 3 4 5 area = 25

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

a = 3 4 5 a = 4 5 5 a = 4.0000 5.0000 6.4031 area = 41

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

a = 3 4 5 a = 4 5 5 a = 4.0000 5.0000 6.4031 a = 5.0000 6.4031 6.4031 a = 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)

a = 3 4 5 a = 4 5 5 a = 4.0000 5.0000 6.4031 a = 5.0000 6.4031 6.4031 a = 5.0000 6.4031 8.1240 a = 6.4031 8.1240 8.1240 a = 6.4031 8.1240 10.3441 a = 8.1240 10.3441 10.3441 a = 8.1240 10.3441 13.1529 a = 10.3441 13.1529 13.1529 a = 10.3441 13.1529 16.7332 a = 13.1529 16.7332 16.7332 a = 13.1529 16.7332 21.2838 a = 16.7332 21.2838 21.2838 a = 16.7332 21.2838 27.0740 a = 21.2838 27.0740 27.0740 a = 21.2838 27.0740 34.4384 a = 27.0740 34.4384 34.4384 a = 27.0740 34.4384 43.8064 a = 34.4384 43.8064 43.8064 a = 34.4384 43.8064 55.7225 a = 43.8064 55.7225 55.7225 a = 43.8064 55.7225 70.8802 a = 55.7225 70.8802 70.8802 a = 55.7225 70.8802 90.1610 a = 70.8802 90.1610 90.1610 a = 70.8802 90.1610 114.6865 a = 90.1610 114.6865 114.6865 a = 90.1610 114.6865 145.8835 a = 114.6865 145.8835 145.8835 a = 114.6865 145.8835 185.5667 a = 145.8835 185.5667 185.5667 a = 145.8835 185.5667 236.0445 a = 185.5667 236.0445 236.0445 a = 185.5667 236.0445 300.2532 a = 236.0445 300.2532 300.2532 a = 236.0445 300.2532 381.9280 a = 300.2532 381.9280 381.9280 a = 300.2532 381.9280 485.8199 a = 381.9280 485.8199 485.8199 a = 381.9280 485.8199 617.9725 a = 485.8199 617.9725 617.9725 a = 485.8199 617.9725 786.0732 a = 617.9725 786.0732 786.0732 a = 617.9725 786.0732 999.9005 a = 786.0732 999.9005 999.9005 a = 1.0e+03 * 0.7861 0.9999 1.2719 a = 1.0e+03 * 0.9999 1.2719 1.2719 a = 1.0e+03 * 0.9999 1.2719 1.6179 a = 1.0e+03 * 1.2719 1.6179 1.6179 a = 1.0e+03 * 1.2719 1.6179 2.0580 a = 1.0e+03 * 1.6179 2.0580 2.0580 a = 1.0e+03 * 1.6179 2.0580 2.6178 a = 1.0e+03 * 2.0580 2.6178 2.6178 a = 1.0e+03 * 2.0580 2.6178 3.3299 a = 1.0e+03 * 2.6178 3.3299 3.3299 a = 1.0e+03 * 2.6178 3.3299 4.2356 a = 1.0e+03 * 3.3299 4.2356 4.2356 a = 1.0e+03 * 3.3299 4.2356 5.3878 a = 1.0e+03 * 4.2356 5.3878 5.3878 a = 1.0e+03 * 4.2356 5.3878 6.8534 a = 1.0e+03 * 5.3878 6.8534 6.8534 a = 1.0e+03 * 5.3878 6.8534 8.7177 a = 1.0e+03 * 6.8534 8.7177 8.7177 a = 1.0e+04 * 0.6853 0.8718 1.1089 a = 1.0e+04 * 0.8718 1.1089 1.1089 a = 1.0e+04 * 0.8718 1.1089 1.4106 a = 1.0e+04 * 1.1089 1.4106 1.4106 a = 1.0e+04 * 1.1089 1.4106 1.7942 a = 1.0e+04 * 1.4106 1.7942 1.7942 a = 1.0e+04 * 1.4106 1.7942 2.2823 a = 1.0e+04 * 1.7942 2.2823 2.2823 a = 1.0e+04 * 1.7942 2.2823 2.9032 a = 1.0e+04 * 2.2823 2.9032 2.9032 a = 1.0e+04 * 2.2823 2.9032 3.6929 a = 1.0e+04 * 2.9032 3.6929 3.6929 a = 1.0e+04 * 2.9032 3.6929 4.6974 a = 1.0e+04 * 3.6929 4.6974 4.6974 a = 1.0e+04 * 3.6929 4.6974 5.9752 a = 1.0e+04 * 4.6974 5.9752 5.9752 a = 1.0e+04 * 4.6974 5.9752 7.6006 a = 1.0e+04 * 5.9752 7.6006 7.6006 a = 1.0e+04 * 5.9752 7.6006 9.6681 a = 1.0e+04 * 7.6006 9.6681 9.6681 a = 1.0e+05 * 0.7601 0.9668 1.2298 a = 1.0e+05 * 0.9668 1.2298 1.2298 a = 1.0e+05 * 0.9668 1.2298 1.5643 a = 1.0e+05 * 1.2298 1.5643 1.5643 a = 1.0e+05 * 1.2298 1.5643 1.9899 a = 1.0e+05 * 1.5643 1.9899 1.9899 a = 1.0e+05 * 1.5643 1.9899 2.5311 a = 1.0e+05 * 1.9899 2.5311 2.5311 a = 1.0e+05 * 1.9899 2.5311 3.2196 a = 1.0e+05 * 2.5311 3.2196 3.2196 a = 1.0e+05 * 2.5311 3.2196 4.0955 a = 1.0e+05 * 3.2196 4.0955 4.0955 a = 1.0e+05 * 3.2196 4.0955 5.2095 a = 1.0e+05 * 4.0955 5.2095 5.2095 a = 1.0e+05 * 4.0955 5.2095 6.6266 area = 4.3912e+11