Cody

# Problem 44457. Triangle of numbers

Solution 1542103

Submitted on 28 May 2018 by OZ FEDERMAN
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### Test Suite

Test Status Code Input and Output
1   Pass
filetext = fileread('triangle.m'); assert(isempty(strfind(filetext, 'regexp')),'regexp hacks are forbidden')

2   Pass
n = 0; mat_correct = []; assert(isequal(triangle(n),mat_correct))

v = 1×0 empty double row vector m = 1 s = 1 mat = []

3   Pass
n = 1; mat_correct = 1; assert(isequal(triangle(n),mat_correct))

v = 1 m = 1 s = 1 mat = [] mat = 1 m = 2 s = 1

4   Pass
n = 6; mat_correct = [1 0 0; 2 3 0; 4 5 6]; assert(isequal(triangle(n),mat_correct))

v = 1 2 3 4 5 6 m = 1 s = 1 mat = [] mat = 1 m = 2 s = 1 mat = 1 2 s = 2 mat = 1 0 2 3 m = 3 s = 1 mat = 1 0 2 3 4 0 s = 2 mat = 1 0 2 3 4 5 s = 3 mat = 1 0 0 2 3 0 4 5 6 m = 4 s = 1

5   Pass
n = 12; mat_correct = [1 0 0 0; 2 3 0 0; 4 5 6 0; 7 8 9 10; 11 12 0 0]; assert(isequal(triangle(n),mat_correct))

v = 1 2 3 4 5 6 7 8 9 10 11 12 m = 1 s = 1 mat = [] mat = 1 m = 2 s = 1 mat = 1 2 s = 2 mat = 1 0 2 3 m = 3 s = 1 mat = 1 0 2 3 4 0 s = 2 mat = 1 0 2 3 4 5 s = 3 mat = 1 0 0 2 3 0 4 5 6 m = 4 s = 1 mat = 1 0 0 2 3 0 4 5 6 7 0 0 s = 2 mat = 1 0 0 2 3 0 4 5 6 7 8 0 s = 3 mat = 1 0 0 2 3 0 4 5 6 7 8 9 s = 4 mat = 1 0 0 0 2 3 0 0 4 5 6 0 7 8 9 10 m = 5 s = 1 mat = 1 0 0 0 2 3 0 0 4 5 6 0 7 8 9 10 11 0 0 0 s = 2 mat = 1 0 0 0 2 3 0 0 4 5 6 0 7 8 9 10 11 12 0 0 s = 3

6   Pass
n = 50; mat_correct = [1,zeros(1,8); 2:3,zeros(1,7); 4:6,zeros(1,6); 7:10,zeros(1,5); 11:15,zeros(1,4); 16:21,zeros(1,3); 22:28,0,0; ; 29:36,0; 37:45; 46:50,zeros(1,4)]; assert(isequal(triangle(n),mat_correct))

v = Columns 1 through 30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Columns 31 through 50 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 m = 1 s = 1 mat = [] mat = 1 m = 2 s = 1 mat = 1 2 s = 2 mat = 1 0 2 3 m = 3 s = 1 mat = 1 0 2 3 4 0 s = 2 mat = 1 0 2 3 4 5 s = 3 mat = 1 0 0 2 3 0 4 5 6 m = 4 s = 1 mat = 1 0 0 2 3 0 4 5 6 7 0 0 s = 2 mat = 1 0 0 2 3 0 4 5 6 7 8 0 s = 3 mat = 1 0 0 2 3 0 4 5 6 7 8 9 s = 4 mat = 1 0 0 0 2 3 0 0 4 5 6 0 7 8 9 10 m = 5 s = 1 mat = 1 0 0 0 2 3 0 0 4 5 6 0 7 8 9 10 11 0 0 0 s = 2 mat = 1 0 0 0 2 3 0 0 4 5 6 0 7 8 9 10 11 12 0 0 s = 3 mat = 1 0 0 0 2 3 0 0 4 5 6 0 7 8 9 10 11 12 13 0 s = 4 mat = 1 0 0 0 2 3 0 0 4 5 6 0 7 8 9 10 11 12 13 14 s = 5 mat = 1 0 0 0 0 2 3 0 0 0 4 5 6 0 0 7 8 9 10 0 11 12 13 14 15 m = 6 s = 1 mat = 1 0 0 0 0 2 3 0 0 0 4 5 6 0 0 7 8 9 10 0 11 12 13 14 15 16 0 0 0 0 s = 2 mat = 1 0 0 0 0 2 3 0 0 0 4 5 6 0 0 7 8 9 10 0 11 12 13 14 15 16 17 0 0 0 s = 3 mat = 1 0 0 0 0 2 3 0 0 0 4 5 6 0 0 7 8 9 10 0 11 12 13 14 15 16 17 18 0 0 s = 4 mat = 1 0 0 0 0 2 3 0 0 0 4 5 6 0 0 7 8 9 10 0 11 12 13 14 15 16 17 18 19 0 s = 5 mat = 1 0 0 0 0 2 3 0 0 0 4 5 6 0 0 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 s = 6 mat = 1 0 0 0 0 0 2 3 0 0 0 0 4 5 6 0 0 0 7 8 9 10 0 0 11 12 13 14 15 0 16 17 18 19 20 21 m = 7 s = 1 mat = 1 0 0 0 0 0 2 3 0 0 0 0 4 5 6 0 0 0 7 8 9 10 0 0 11 12 13 14 15 0 16 17 18 19 20 21 22 0 0 0 0 0 s = 2 mat = 1 0 0 0 0 0 2 3 0 0 0 0 4 5 6 0 0 0 7 8 9 10 0 0 11 12 13 14 15 0 16 17 18 19 20 21 22 23 0 0 0 0 s = 3 mat = 1 0 0 0 0 0 2 3 0 0 0 0 4 5 6 0 0 0 7 8 9 10 0 0 11 12 13 14 15 0 16 17 18 19 20 21 22 23 24 0 0 0 s = 4 mat = 1 0 0 0 0 0 2 3 0 0 0 0 4 5 6 0 0 0 7 8 9 10 0 0 11 12 13 14 15 0 16 17 18 19 20 21 22 23 24 25 0 0 s = 5 mat = 1 0 0 0 0 0 2 3 0 0 0 0 4 5 6 0 0 0 7 8 9 10 0 0 11 12 13 14 15 0 16 17 18 19 20 21 22 23 24 25 26 0 s = 6 mat = 1 0 0 0 0 0 2 3 0 0 0 0 4 5 6 0 0 0 7 8 9 10 0 0 11 12 13 14 15 0 16 17 18 19 20 21 22 23 24 25 26 27 s = 7 mat = 1 0 0 0 0 0 0 2 3 0 0 0 0 0 4 5 6 0 0 0 0 7 8 9 10 0 0 0 11 12 13 14 15 0 0 16 17 18 19 20 21 0 22 23 24 25 26 27 28 m = 8 s = 1 mat = 1 0 0 0 0 0 0 2 3 0 0 0 0 0 4 5 6 0 0 0 0 7 8 9 10 0 0 0 11 12 13 14 15 0 0 16 17 18 19 20 21 0 22 23 24 25 26 27 28 29 0 0 0 0 0 0 s = 2 mat = 1 0 0 0 0 0 0 2 3 0 0 0 0 0 4 5 6 0 0 0 0 7 8 9 10 0 0 0 11 12 13 14 15 0 0 16 17 18 19 20 21 0 22 23 24 25 26 27 28 29 30 0 0 0 0 0 s = 3 mat = 1 0 0 0 0 0 0 2 3 0 0 0 0 0 4 5 6 0 0 0 0 7 8 9 10 0 0 0 11 12 13 14 15 0 0 16 17 18 19 20 21 0 22 23 24 25 26 27 28 29 30 31 0 0 0 0 s = 4 mat = 1 0 0 0 0 0 0 2 3 0 0 0 0 0 4 5 6 0 0 0 0 7 8 9 10 0 0 0 11 12 13 14 15 0 0 16 17 18 19 20 21 0 22 23 24 25 26 27 28 29 30 31 32 0 0 0 s = 5 mat = 1 0 0 0 0 0 0 2 3 0 0 0 0 0 4 5 6 0 0 0 0 7 8 9 10 0 0 0 11 12 13 14 15 0 0 16 17 18 19 20 21 0 22 23 24 25 26 27 28 29 30 31 32 33 0 0 s = 6 mat = 1 0 0 0 0 0 0 2 3 0 0 0 0 0 4 5 6 0 0 0 0 7 8 9 10 0 0 0 11 12 13 14 15 0 0 16 17 18 19 20 21 0 22 23 24 25 26 27 28 29 30 31 32 33 34 0 s = 7 mat = 1 0 0 0 0 0 0 2 3 0 0 0 0 0 4 5 6 0 0 0 0 7 8 9 10 0 0 0 11 12 13 14 15 0 0 16 17 18 19 20 21 0 22 23 24 25 26 27 28 29 30 31 32 33 34 35 s = 8 mat = 1 0 0 0 0 0 0 0 2 3 0 0 0 0 0 0 4 5 6 0 0 0 0 0 7 8 9 10 0 0 0 0 11 12 13 14 15 0 0 0 16 17 18 19 20 21 0 0 22 23 24 25 26 27 28 0 29 30 31 32 33 34 35 36 m = 9 s = 1 mat = 1 0 0 0 0 0 0 0 2 3 0 0 0 0 0 0 4 5 6 0 0 0 0 0 7 8 9 10 0 0 0 0 11 12 13 14 15 0 0 0 16 17 18 19 20 21 0 0 22 23 24 25 26 27 28 0 29 30 31 32 33 34 35 36 37 0 0 0 0 0 0 0 s = 2 mat = 1 0 0 0 0 0 0 0 2 3 0 0 0 0 0 0 4 5 6 0 0 0 0 0 7 8 9 10 0 0 0 0 11 12 13 14 15 0 0 0 16 17 18 19 20 21 0 0 22 23 24 25 26 27 28 0 29 30 31 32 33 34 35 36 37 38 0 0 0 0 0 0 s = 3 mat = 1 0 0 0 0 0 0 0 2 3 0 0 0 0 0 0 4 5 6 0 0 0 0 0 7 8 9 10 0 0 0 0 11 12 13 14 15 0 0 0 16 17 18 19 20 21 0 0 22 23 24 25 26 27 28 0 29 30 31 32 33 34 35 36 37 38 39 0 0 0 0 0 s = 4 mat = 1 0 0 0 0 0 0 0 2 3 0 0 0 0 0 0 4 5 6 0 0 0 0 0 7 8 9 10 0 0 0 0 11 12 13 14 15 0 0 0 16 17 18 19 20 21 ...