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LeetCode——Search for a Range
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]
.
题目:给定一个排好序的整数数组,找到给定目标值的出现的首尾位置。
思路:二分查找。由于是有序数组,所以相同值的数是连续的,即只要找到其中一个,再向左右找到边界值就可以了,这三步均采用二分查找。
public int[] searchRange(int[] A, int target) { int result[] = new int[] { -1, -1 }; int len = A.length; if (len <= 0) return result; int separator = -1; int left = 0, right = len - 1; while (left <= right) { int middle = (left + right) / 2; if (A[middle] > target) right = middle - 1; else if (A[middle] < target) left = middle + 1; else { separator = middle; break; } } if (separator == -1) return result; //找到左边界 left = 0; right = separator; while (left <= right) { int middle = (left + right) / 2; if (A[middle] == target) right = middle - 1; else left = middle + 1; } result[0] = left; //找到右边界 left = separator; right = len - 1; while (left <= right) { int middle = (left + right) / 2; if (A[middle] == target) left = middle + 1; else right = middle - 1; } result[1] = right; return result; }
reference : http://www.darrensunny.me/leetcode-search-for-a-range/
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