1992-09-03 04:43:20 +08:00
|
|
|
# Bisection algorithms
|
|
|
|
|
|
|
|
|
|
|
|
# Insert item x in list a, and keep it sorted assuming a is sorted
|
|
|
|
|
1997-10-07 22:45:49 +08:00
|
|
|
def insort(a, x, lo=0, hi=None):
|
|
|
|
if hi is None:
|
|
|
|
hi = len(a)
|
1998-03-27 04:56:10 +08:00
|
|
|
while lo < hi:
|
1992-09-03 04:43:20 +08:00
|
|
|
mid = (lo+hi)/2
|
|
|
|
if x < a[mid]: hi = mid
|
|
|
|
else: lo = mid+1
|
|
|
|
a.insert(lo, x)
|
|
|
|
|
|
|
|
|
|
|
|
# Find the index where to insert item x in list a, assuming a is sorted
|
|
|
|
|
1997-10-07 22:45:49 +08:00
|
|
|
def bisect(a, x, lo=0, hi=None):
|
|
|
|
if hi is None:
|
|
|
|
hi = len(a)
|
1998-03-27 04:56:10 +08:00
|
|
|
while lo < hi:
|
1992-09-03 04:43:20 +08:00
|
|
|
mid = (lo+hi)/2
|
|
|
|
if x < a[mid]: hi = mid
|
|
|
|
else: lo = mid+1
|
|
|
|
return lo
|