Cody

# Problem 42498. Pancake sorting - minimum flips.

Solution 1676346

Submitted on 19 Nov 2018 by Mu
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### Test Suite

Test Status Code Input and Output
1   Pass
urlwrite('https://sites.google.com/a/alfnie.com/alfnie/software/SetSolutionScore.p?attredirects=0&amp;d=1','SetSolutionScore.p'); rehash path;

2   Pass
x = 1:5; for spatula = sort_pancakes(x) x(1:spatula) = flip(x(1:spatula)); end assert(issorted(x))

3   Pass
x = [6 4 2 5 3 1]; for spatula = sort_pancakes(x) x(1:spatula) = flip(x(1:spatula)); end assert(issorted(x))

4   Pass
x = randperm(12); for spatula = sort_pancakes(x) x(1:spatula) = flip(x(1:spatula)); end assert(issorted(x))

5   Pass
x = randperm(13); for spatula = sort_pancakes(x) x(1:spatula) = flip(x(1:spatula)); end assert(issorted(x))

6   Pass
for k = 1:20 x = randperm(k); for spatula = sort_pancakes(x) x(1:spatula) = flip(x(1:spatula)); end assert(issorted(x)) end

7   Pass
% this test may be extended and rescored sets = { [10 3 2 1 6 5 4 8 7 9] [10:-1:1] [1:10] [2:2:10 1:2:9] [ 9 8 14 5 12 1 10 13 2 7 6 3 15 4 11] [ 7 8 16 13 11 1 9 15 2 6 3 12 10 4 14 5] [ 15 14 19 1 9 4 12 3 16 7 13 20 6 2 11 10 17 5 8 18] [ 2 15 18 4 8 16 10 6 3 14 1 7 20 9 11 12 13 5 19 17 21] [ 5 1 9 3 18 22 17 15 11 16 10 13 2 21 20 6 12 7 23 8 19 14 4] [ 3 9 18 15 7 8 6 10 11 17 21 23 22 1 14 5 2 13 16 12 20 4 19] [ 34 71 51 31 55 61 18 26 59 8 14 6 70 1 25 7 9 4 44 39 19 56 22 32 27 2 11 28 68 57 49 48 20 29 13 10 17 40 3 37 45 63 73 30 43 42 38 21 23 46 62 47 58 69 24 65 60 36 72 64 54 33 5 52 67 66 15 53 12 35 41 16 50]}; for k = 1:numel(sets) x = sets{k}; queue = sort_pancakes(x); for spatula = queue x(1:spatula) = flip(x(1:spatula)); end assert(issorted(x)) n(k) = numel(x); score(k) = numel(queue); end SetSolutionScore(sum(score)); fprintf('\nTest %3d. %3d pancakes, %3d flips',[1:numel(sets); n; score]);

Test 1. 10 pancakes, 8 flips Test 2. 10 pancakes, 1 flips Test 3. 10 pancakes, 0 flips Test 4. 10 pancakes, 10 flips Test 5. 15 pancakes, 22 flips Test 6. 16 pancakes, 29 flips Test 7. 20 pancakes, 34 flips Test 8. 21 pancakes, 28 flips Test 9. 23 pancakes, 36 flips Test 10. 23 pancakes, 37 flips Test 11. 73 pancakes, 136 flips