class Solution(object):
def searchInsert(self, nums, target):
"""
duplicates condition should be take care of
The question itself is not worth to record , but the thinking progress of how we control the border should be valued.
The main idea to control the border I think should be related to what the question need we do.
for eg, in this question , we need to find the place to insert current number, that is find the first number whose number just more than current number
so when we do binary research , if nums[middle] more than current number n, what we should do to update the low? middle or middle +1
because we need to find the first number more than n, and nums[middle] is more than n, so the index middle may be the result and we certianly must not to drop it
so we need update low to middle instead of middle +1
And if nums[middle] < target, that is middle must not be the result , so we need drop it , what will happen if we don't drop it ?
for eg, if we only have two elements [a,b](a < b) we need to find a number's (n a < n < b) insert place
middle = (0 + 1) //2 =0 and nums[0] < n , the we update low to middle , so the new low and high still is 0,1,
it result in a endless loop
"""
if target < nums[0]:
return 0
if target > nums[-1]:
return len(nums)
start, end = 0, len(nums)
while(start < end):
print(start, end)
middle = (start + end) //2
if nums[middle] == target:
return middle
elif nums[middle] > target:
end = middle
else:
# nums[middle] < target
start = middle
return start
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