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33. Search in Rotated Sorted Array
Suppose an array sorted in ascending order is rotated at some pivot unknown to you beforehand.
(i.e., 0 1 2 4 5 6 7
might become 4 5 6 7 0 1 2
).
You are given a target value to search. If found in the array return its index, otherwise return -1.
You may assume no duplicate exists in the array.
分析
二分查找,
首先判断中间数是否为所求,是则返回,否则继续;
判断中间数是属于哪个序列,是左递增序列,还是右递增序列:
左递增:
判断target是否在左递增序列中,是则更新 R = M - 1;
否则 L = M + 1;
右递增:
判断target是否在右递增序列中,是则更新 L = M + 1;
否则 R = M - 1;
代码
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | class Solution { public : int search(vector< int >& nums, int target) { int l = 0, r = nums.size() - 1, m, result = -1; while (l <= r){ m = (l + r) >> 1; if (nums[m] == target) return m; if (nums[l] <= nums[m]) // indicate that the nums[m] is in the ascending order part { if ( nums[l] <= target && nums[m] > target){ // target is in [l,m) r = m - 1; } else { //target is in [m,R) l = m + 1; } } else { if (nums[m] < target && nums[r] >= target){ //target is in (m,r] l = m + 1; } else { // target is in [l,m) r = m - 1; } } } //end of while return -1; } }; |
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33. Search in Rotated Sorted Array
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