Cody

# Problem 46. Which doors are open?

Solution 1392264

Submitted on 24 Dec 2017 by Sukmock
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### Test Suite

Test Status Code Input and Output
1   Pass
x = 1; y_correct = 1; assert(isequal(which_doors_open(x),y_correct))

d = logical 0 d = logical 1 y = 1

2   Pass
x = 3; y_correct = 1; assert(isequal(which_doors_open(x),y_correct))

d = 1×3 logical array 0 0 0 d = 1×3 logical array 1 1 1 d = 1×3 logical array 1 0 1 d = 1×3 logical array 1 0 0 y = 1

3   Pass
x = 100; y_correct = [1 4 9 16 25 36 49 64 81 100]; assert(isequal(which_doors_open(x),y_correct))

d = 1×100 logical array Columns 1 through 44 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Columns 45 through 88 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Columns 89 through 100 0 0 0 0 0 0 0 0 0 0 0 0 d = 1×100 logical array Columns 1 through 44 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 1 1 1 1 Columns 45 through 88 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 1 1 1 1 Columns 89 through 100 1 1 1 1 1 1 1 1 1 1 1 1 d = 1×100 logical array Columns 1 through 44 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 1 0 1 0 1 0 Columns 45 through 88 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 1 0 1 0 1 0 Columns 89 through 100 1 0 1 0 1 0 1 0 1 0 1 0 d = 1×100 logical array Columns 1 through 44 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 Columns 45 through 88 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 Columns 89 through 100 1 1 1 0 0 0 1 1 1 0 0 0 d = 1×100 logical array Columns 1 through 44 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 Columns 45 through 88 0 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 1 Columns 89 through 100 1 1 1 1 0 0 1 0 1 0 0 1 d = 1×100 logical array Columns 1 through 44 1 0 0 1 0 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 1 Columns 45 through 88 1 0 1 0 1 1 0 1 1 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 1 0 0 0 0 1 Columns 89 through 100 1 0 1 1 0 0 0 0 1 0 0 0 d = 1×100 logical array Columns 1 through 44 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 0 1 0 0 0 1 1 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 1 0 1 1 Columns 45 through 88 1 0 1 1 1 1 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 0 1 0 0 0 1 1 0 0 0 1 Columns 89 through 100 1 1 1 1 0 0 0 1 1 0 0 0 d = 1×100 logical array Columns 1 through 44 1 0 0 1 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 0 1 1 1 1 Columns 45 through 88 1 0 1 1 0 1 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 Columns 89 through 100 1 1 0 1 0 0 0 1 1 1 0 0 d = 1×100 logical array Columns 1 through 44 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 Columns 45 through 88 1 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 0 0 1 0 0 0 0 0 Columns 89 through 100 1 1 0 1 0 0 0 0 1 1 0 0 d = 1×100 logical array Columns 1 through 44 1 0 0 1 0 0 0 0 1 1 1 1 1 1 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 0 1 0 1 0 0 1 1 1 1 1 Columns 45 through 88 0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 1 1 0 1 0 0 0 0 0 Columns 89 through 100 1 0 0 1 0 0 0 0 1 1 1 0 d = 1×100 logical array Columns 1 through 44 1 0 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 0 1 0 0 0 1 1 1 1 Columns 45 through 88 0 0 1 0 0 0 0 1 1 1 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 1 0 1 0 1 0 0 0 0 0 Columns 89 through 100 1 1 0 1 0 0 0 0 1 1 1 1 d = 1×100 logical array Columns 1 through 44 1 0 0 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 0 1 1 1 0 Columns 45 through 88 0 0 1 0 0 0 0 1 1 1 1 1 0 0 1 1 1 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 0 1 0 1 0 0 0 0 1 Columns 89 through 100 1 1 0 1 0 0 0 0 1 1 0 1 d = 1×100 logical array Columns 1 through 44 1 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 1 0 Columns 45 through 88 0 0 1 1 0 0 0 1 1 1 1 1 0 0 1 0 1 0 0 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 1 0 1 1 0 0 0 1 Columns 89 through 100 1 1 0 1 0 0 0 1 1 1 0 1 d = 1×100 logical array Columns 1 through 44 1 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 Columns 45 through 88 0 0 1 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 0 0 1 Columns 89 through 100 1 1 1 1 0 0 0 1 1 1 0 1 d = 1×100 logical array Columns 1 through 44 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 0 Columns 45 through 88 0 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 1 Columns 89 through 100 1 1 1 1 0 0 0 1 1 0 0 1 d = 1×100 logical array Columns 1 through 44 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 1 0 1 0 Columns 45 through 88 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 0 1 0 1 0 0 0 0 1 Columns 89 through 100 1 0 1 1 0 0 0 1 1 0 0 1 d = 1×100 logical array Columns 1 through 44 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 0 Columns 45 through 88 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0 1 Columns 89 through 100 1 0 1 1 0 0 0 0 1 0 0 1 d = 1×100 logical array Columns 1 through 44 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 Columns 45 through 88 1 0 1 0 0 0 1 0 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 0 0 0 1 0 1 0 0 1 1 1 1 1 1 0 1 0 1 0 0 1 Columns 89 through 100 1 0 1 1 0 0 0 0 1 0 0 1 d = 1×100 logical array Columns 1 through 44 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 Columns 45 through 88 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 0 1 0 0 1 Columns 89 through 100 1 1 1 1 0 0 0 0 1 0 0 1 d = 1×100 logical array Columns 1 through 44 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 1 0 Columns 45 through 88 1 0 1 0 0 0 1 0 1 0 1 0 1 ...