Sorting algorithms/Insertion sort: Difference between revisions

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l[j+1] = key</lang>
l[j+1] = key</lang>
===Insertion sort with binary search===
===Insertion sort with binary search===
<lang python>def insertion_sort_bin(seq):
<lang python>import bisect
def insertion_sort_bin(seq):
for i in range(1, len(seq)):
for i in range(1, len(seq)):
key = seq[i]
bisect.insort(seq, seq.pop(i), 0, i)</lang>

# invariant: ``seq[:i]`` is sorted
# find the least `low' such that ``seq[low]`` is not less then `key'.
# Binary search in sorted sequence ``seq[low:up]``:
low, up = 0, i
while up > low:
middle = (low + up) // 2
if seq[middle] < key:
low = middle + 1
else:
up = middle
# insert key at position ``low``
seq[:] = seq[:low] + [key] + seq[low:i] + seq[i + 1:]</lang>
=={{header|R}}==
=={{header|R}}==
Direct translation of pseudocode.
Direct translation of pseudocode.