GuilinDev

Lc0704

05 August 2008

原题

Given a sorted (in ascending order) integer array ‘nums’ of ‘n’ elements and a ‘target’ value, write a function to search ‘target’ in ‘nums’. If ‘target’ exists, then return its index, otherwise return ‘-1’.

Example 1:

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Input: nums = [-1,0,3,5,9,12], target = 9
Output: 4
Explanation: 9 exists in nums and its index is 4

Example 2:

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Input: nums = [-1,0,3,5,9,12], target = 2
Output: -1
Explanation: 2 does not exist in nums so return -1

Note:

  1. You may assume that all elements in ‘nums’ are unique.
  2. ‘n’ will be in the range ‘[1, 10000]’.
  3. The value of each element in ‘nums’ will be in the range ‘[-9999, 9999]’.

题意

模板要清晰,注意一个元素的情况,澄清题意。

代码

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class Solution {
    public int search(int[] nums, int target) {
        if (nums == null || nums.length == 0) {
            return -1;
        }
        int left = 0, right = nums.length - 1;
        while (left + 1 < right) {
            // Prevent (left + right) overflow
            int mid = left + (right - left) /2;
            if (nums[mid] == target) {
                return mid;
            } else if (nums[mid] > target) {
                right = mid;
            } else {
                left = mid;
            }
        }
        // Post-processing:
        // End Condition: left + 1 == right
        if (nums[left] == target) {
            return left;
        }
        if (nums[right] == target) {
            return right;
        }
        return -1;
    }
}

递归

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class Solution {
    public int search(int[] nums, int target) {
        if (nums == null || nums.length == 0) {
            return -1;
        }
        return search (nums, target, 0, nums.length - 1);
    }
    private int search(int[] nums, int target, int low, int high) {
        if (low > high) {
            return -1;
        }
        int mid = low + (high - low) / 2;
        if (nums[mid] == target) {
            return mid;
        } else if (nums[mid] < target) {
            return search(nums, target, mid + 1, high);
        } else {
            return search(nums, target, low, mid - 1);
        }
    }
}