diff options
Diffstat (limited to 'data_structures_and_algorithms/merge-sort.py')
-rw-r--r-- | data_structures_and_algorithms/merge-sort.py | 28 |
1 files changed, 28 insertions, 0 deletions
diff --git a/data_structures_and_algorithms/merge-sort.py b/data_structures_and_algorithms/merge-sort.py new file mode 100644 index 000000000000..6dbe0fa0f3c3 --- /dev/null +++ b/data_structures_and_algorithms/merge-sort.py @@ -0,0 +1,28 @@ + + + +# merge :: [a] -> [a] -> [a] +# merge([], []): [] +# merge(xs, []): xs +# merge([], ys): ys +# merge(xs@[x|xs'], ys@[y|ys']) +# when y =< x: cons(y, merge(xs, ys')) +# when x < y: cons(x, merge(xs', ys)) +def merge(xs, ys): + if xs == [] and ys == []: + return [] + elif ys == []: + return xs + elif xs == []: + return ys + else: + x = xs[0] + y = ys[0] + + if y <= x: + return [y] + merge(xs, ys[1:]) + else: + return [x] + merge(xs[1:], ys) + +print(merge([3, 4, 6, 10, 11, 15], + [1, 5, 8, 12, 14, 19])) |