JezK
Edit File: bisect.py
"""Bisection algorithms.""" def insort_right(a, x, lo=0, hi=None): """Insert item x in list a, and keep it sorted assuming a is sorted. If x is already in a, insert it to the right of the rightmost x. Optional args lo (default 0) and hi (default len(a)) bound the slice of a to be searched. """ lo = bisect_right(a, x, lo, hi) a.insert(lo, x) def bisect_right(a, x, lo=0, hi=None): """Return the index where to insert item x in list a, assuming a is sorted. The return value i is such that all e in a[:i] have e <= x, and all e in a[i:] have e > x. So if x already appears in the list, a.insert(x) will insert just after the rightmost x already there. Optional args lo (default 0) and hi (default len(a)) bound the slice of a to be searched. """ if lo < 0: raise ValueError('lo must be non-negative') if hi is None: hi = len(a) while lo < hi: mid = (lo+hi)//2 # Use __lt__ to match the logic in list.sort() and in heapq if x < a[mid]: hi = mid else: lo = mid+1 return lo def insort_left(a, x, lo=0, hi=None): """Insert item x in list a, and keep it sorted assuming a is sorted. If x is already in a, insert it to the left of the leftmost x. Optional args lo (default 0) and hi (default len(a)) bound the slice of a to be searched. """ lo = bisect_left(a, x, lo, hi) a.insert(lo, x) def bisect_left(a, x, lo=0, hi=None): """Return the index where to insert item x in list a, assuming a is sorted. The return value i is such that all e in a[:i] have e < x, and all e in a[i:] have e >= x. So if x already appears in the list, a.insert(x) will insert just before the leftmost x already there. Optional args lo (default 0) and hi (default len(a)) bound the slice of a to be searched. """ if lo < 0: raise ValueError('lo must be non-negative') if hi is None: hi = len(a) while lo < hi: mid = (lo+hi)//2 # Use __lt__ to match the logic in list.sort() and in heapq if a[mid] < x: lo = mid+1 else: hi = mid return lo # Overwrite above definitions with a fast C implementation try: from _bisect import * except ImportError: pass # Create aliases bisect = bisect_right insort = insort_right