Cody

Problem 43752. Vandermonde Matrix

Solution 1077743

Submitted on 8 Dec 2016 by Kensuke Fujita
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Test Suite

Test Status Code Input and Output
1   Pass
x = 1:5; y_correct = [1,1,1,1,1;1,2,4,8,16;1,3,9,27,81;1,4,16,64,256;1,5,25,125,625]; assert(isequal(vandimat(x),y_correct))

n = 5 y = 1 y = 1 1 y = 1 1 1 y = 1 1 1 1 y = 1 1 1 1 1 y = 1 1 1 0 1 0 1 0 1 0 y = 1 1 1 2 1 0 1 0 1 0 y = 1 1 1 2 1 3 1 0 1 0 y = 1 1 1 2 1 3 1 4 1 0 y = 1 1 1 2 1 3 1 4 1 5 y = 1 1 1 1 2 0 1 3 0 1 4 0 1 5 0 y = 1 1 1 1 2 4 1 3 0 1 4 0 1 5 0 y = 1 1 1 1 2 4 1 3 9 1 4 0 1 5 0 y = 1 1 1 1 2 4 1 3 9 1 4 16 1 5 0 y = 1 1 1 1 2 4 1 3 9 1 4 16 1 5 25 y = 1 1 1 1 1 2 4 0 1 3 9 0 1 4 16 0 1 5 25 0 y = 1 1 1 1 1 2 4 8 1 3 9 0 1 4 16 0 1 5 25 0 y = 1 1 1 1 1 2 4 8 1 3 9 27 1 4 16 0 1 5 25 0 y = 1 1 1 1 1 2 4 8 1 3 9 27 1 4 16 64 1 5 25 0 y = 1 1 1 1 1 2 4 8 1 3 9 27 1 4 16 64 1 5 25 125 y = 1 1 1 1 1 1 2 4 8 0 1 3 9 27 0 1 4 16 64 0 1 5 25 125 0 y = 1 1 1 1 1 1 2 4 8 16 1 3 9 27 0 1 4 16 64 0 1 5 25 125 0 y = 1 1 1 1 1 1 2 4 8 16 1 3 9 27 81 1 4 16 64 0 1 5 25 125 0 y = 1 1 1 1 1 1 2 4 8 16 1 3 9 27 81 1 4 16 64 256 1 5 25 125 0 y = 1 1 1 1 1 1 2 4 8 16 1 3 9 27 81 1 4 16 64 256 1 5 25 125 625
2   Pass
x = 1; y_correct = 1; assert(isequal(vandimat(x),y_correct))

n = 1 y = 1
3   Pass
x = ones(1,20); y_correct = ones(20); assert(isequal(vandimat(x),y_correct))

n = 20 y = 1 y = 1 1 y = 1 1 1 y = 1 1 1 1 y = 1 1 1 1 1 y = 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 y = 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 y = 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0...
4   Pass
x = 3.*ones(1,15); y_correct = repmat([1,3,9,27,81,243,729,2187,6561,19683,59049,177147,531441,1594323,4782969],15,1); assert(isequal(vandimat(x),y_correct))

n = 15 y = 1 y = 1 1 y = 1 1 1 y = 1 1 1 1 y = 1 1 1 1 1 y = 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 y = 1 3 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 3 1 3 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 3 1 3 1 3 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 3 1 3 1 3 1 3 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 3 1 3 1 3 1 3 1 3 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 3 1 3 1 3 1 3 1 3 1 3 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 0 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 0 1 0 1 0 1 0 1 0 1 0 y = 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 0 1 0 1 0 1 0 1 0 y = 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 0 1 0 1 0 1 0 y = 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 0 1 0 1 0 y = 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 0 1 0 y = 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 0 y = 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 y = 1 3 9 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 y = 1 3 9 1 3 9 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 y = 1 3 9 1 3 9 1 3 9 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 y = 1 3 9 1 3 9 1 3 9 1 3 9 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 y = 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 y = 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 y = 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 y = 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 y = 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 y = 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 y = 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 0 1 3 0 1 3 0 1 3 0 y = 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 0 1 3 0 1 3 0 y = 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 0 1 3 0 y = 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 0 y = 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 1 3 9 y = 1 3 9 27 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 y = 1 3 9 27 1 3 9 27 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 y = 1 3 9 27 1 3 9 27 1 3 9 27 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 y = 1 3 9 27 1 3 9 27 1 3 9 27 1 3 9 27 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 1 3 9 0 y = 1 3 9 27 1 3 9 27 1 3 9 27 1 3 9 2...
5   Pass
x = [1 5 2 4 3]; y_correct = [1,1,1,1,1;1,5,25,125,625;1,2,4,8,16;1,4,16,64,256;1,3,9,27,81]; assert(isequal(vandimat(x),y_correct))

n = 5 y = 1 y = 1 1 y = 1 1 1 y = 1 1 1 1 y = 1 1 1 1 1 y = 1 1 1 0 1 0 1 0 1 0 y = 1 1 1 5 1 0 1 0 1 0 y = 1 1 1 5 1 2 1 0 1 0 y = 1 1 1 5 1 2 1 4 1 0 y = 1 1 1 5 1 2 1 4 1 3 y = 1 1 1 1 5 0 1 2 0 1 4 0 1 3 0 y = 1 1 1 1 5 25 1 2 0 1 4 0 1 3 0 y = 1 1 1 1 5 25 1 2 4 1 4 0 1 3 0 y = 1 1 1 1 5 25 1 2 4 1 4 16 1 3 0 y = 1 1 1 1 5 25 1 2 4 1 4 16 1 3 9 y = 1 1 1 1 1 5 25 0 1 2 4 0 1 4 16 0 1 3 9 0 y = 1 1 1 1 1 5 25 125 1 2 4 0 1 4 16 0 1 3 9 0 y = 1 1 1 1 1 5 25 125 1 2 4 8 1 4 16 0 1 3 9 0 y = 1 1 1 1 1 5 25 125 1 2 4 8 1 4 16 64 1 3 9 0 y = 1 1 1 1 1 5 25 125 1 2 4 8 1 4 16 64 1 3 9 27 y = 1 1 1 1 1 1 5 25 125 0 1 2 4 8 0 1 4 16 64 0 1 3 9 27 0 y = 1 1 1 1 1 1 5 25 125 625 1 2 4 8 0 1 4 16 64 0 1 3 9 27 0 y = 1 1 1 1 1 1 5 25 125 625 1 2 4 8 16 1 4 16 64 0 1 3 9 27 0 y = 1 1 1 1 1 1 5 25 125 625 1 2 4 8 16 1 4 16 64 256 1 3 9 27 0 y = 1 1 1 1 1 1 5 25 125 625 1 2 4 8 16 1 4 16 64 256 1 3 9 27 81

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