1. # -*- coding: utf8 -*-
    '''
    __author__ = 'dabay.wang@gmail.com'
  2.  
  3. 34: Search for a Range
    https://oj.leetcode.com/problems/search-for-a-range/
  4.  
  5. Given a sorted array of integers, find the starting and ending position of a given target value.
    Your algorithm's runtime complexity must be in the order of O(log n).
    If the target is not found in the array, return [-1, -1].
    For example,
    Given [5, 7, 7, 8, 8, 10] and target value 8,
    return [3, 4].
  6.  
  7. ===Comments by Dabay===
    二分查找。
    target在中间的时候,往两边扩展。
    '''
  8.  
  9. class Solution:
    # @param A, a list of integers
    # @param target, an integer to be searched
    # @return a list of length 2, [index1, index2]
    def searchRange(self, A, target):
    def expend(nums, index):
    left = right = index
    while left - 1 >= 0 and nums[left - 1] == nums[index]:
    left -= 1
    while right + 1 < len(nums) and nums[right + 1] == nums[index]:
    right += 1
    return [left, right]
  10.  
  11. l, r = 0, len(A) - 1
    while l <= r:
    m = (l + r) /2
    if A[m] == target:
    return expend(A, m)
    elif A[m] < target:
    l = m + 1
    else:
    r = m - 1
    else:
    return [-1, -1]
  12.  
  13. def main():
    sol = Solution()
    nums = [2,2]
    target = 2
    print sol.searchRange(nums, target)
  14.  
  15. if __name__ == '__main__':
    import time
    start = time.clock()
    main()
    print "%s sec" % (time.clock() - start)

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