Cody

Problem 2024. Triangle sequence

Solution 2241877

Submitted on 28 Apr 2020 by Jyothsna Chintala
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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)

side = 3 4 5 area = 25

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

side = 3 4 5 side = 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)

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

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

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