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面试题 57. 和为 s 的两个数字

题目描述

输入一个递增排序的数组和一个数字s,在数组中查找两个数,使得它们的和正好是s。如果有多对数字的和等于s,则输出任意一对即可。

 

示例 1:

输入:nums = [2,7,11,15], target = 9
输出:[2,7] 或者 [7,2]

示例 2:

输入:nums = [10,26,30,31,47,60], target = 40
输出:[10,30] 或者 [30,10]

 

限制:

  • 1 <= nums.length <= 105
  • 1 <= nums[i] <= 106

方法一:双指针

我们用双指针 $l$ 和 $r$ 分别指向数组的左右两端,然后不断移动指针,直到找到一组和为 $target$ 的连续正整数序列。

时间复杂度 $O(n)$,空间复杂度 $O(1)$。其中 $n$ 为数组的长度。

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class Solution:
    def twoSum(self, nums: List[int], target: int) -> List[int]:
        l, r = 0, len(nums) - 1
        while l < r:
            if nums[l] + nums[r] == target:
                return [nums[l], nums[r]]
            if nums[l] + nums[r] > target:
                r -= 1
            else:
                l += 1
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class Solution {
    public int[] twoSum(int[] nums, int target) {
        int l = 0, r = nums.length - 1;
        while (true) {
            if (nums[l] + nums[r] == target) {
                return new int[] {nums[l], nums[r]};
            }
            if (nums[l] + nums[r] > target) {
                --r;
            } else {
                ++l;
            }
        }
    }
}
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class Solution {
public:
    vector<int> twoSum(vector<int>& nums, int target) {
        int l = 0, r = nums.size() - 1;
        while (1) {
            if (nums[l] + nums[r] == target) {
                return {nums[l], nums[r]};
            }
            if (nums[l] + nums[r] > target) {
                --r;
            } else {
                ++l;
            }
        }
    }
};
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func twoSum(nums []int, target int) []int {
    l, r := 0, len(nums)-1
    for {
        if nums[l]+nums[r] == target {
            return []int{nums[l], nums[r]}
        }
        if nums[l]+nums[r] > target {
            r--
        } else {
            l++
        }
    }
}
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/**
 * @param {number[]} nums
 * @param {number} target
 * @return {number[]}
 */
var twoSum = function (nums, target) {
    let l = 0;
    let r = nums.length - 1;
    while (1) {
        if (nums[l] + nums[r] == target) {
            return [nums[l], nums[r]];
        }
        if (nums[l] + nums[r] > target) {
            --r;
        } else {
            ++l;
        }
    }
};
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function twoSum(nums: number[], target: number): number[] {
    let l = 0;
    let r = nums.length - 1;
    while (nums[l] + nums[r] !== target) {
        if (nums[l] + nums[r] < target) {
            l++;
        } else {
            r--;
        }
    }
    return [nums[l], nums[r]];
}
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use std::cmp::Ordering;

impl Solution {
    pub fn two_sum(nums: Vec<i32>, target: i32) -> Vec<i32> {
        let mut l = 0;
        let mut r = nums.len() - 1;
        loop {
            match target.cmp(&(nums[l] + nums[r])) {
                Ordering::Less => {
                    r -= 1;
                }
                Ordering::Greater => {
                    l += 1;
                }
                Ordering::Equal => {
                    break vec![nums[l], nums[r]];
                }
            }
        }
    }
}
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public class Solution {
    public int[] TwoSum(int[] nums, int target) {
        int l = 0, r = nums.Length - 1;
        while (true) {
            if (nums[l] + nums[r] == target) {
                return new int[] {nums[l], nums[r]};
            }
            if (nums[l] + nums[r] > target) {
                --r;
            } else {
                ++l;
            }
        }
    }
}
1

解法

方法一

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class Solution:
    def twoSum(self, nums: List[int], target: int) -> List[int]:
        l, r = 0, len(nums) - 1
        while l < r:
            if nums[l] + nums[r] == target:
                return [nums[l], nums[r]]
            if nums[l] + nums[r] > target:
                r -= 1
            else:
                l += 1
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class Solution {
    public int[] twoSum(int[] nums, int target) {
        int l = 0, r = nums.length - 1;
        while (true) {
            if (nums[l] + nums[r] == target) {
                return new int[] {nums[l], nums[r]};
            }
            if (nums[l] + nums[r] > target) {
                --r;
            } else {
                ++l;
            }
        }
    }
}
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class Solution {
public:
    vector<int> twoSum(vector<int>& nums, int target) {
        int l = 0, r = nums.size() - 1;
        while (1) {
            if (nums[l] + nums[r] == target) {
                return {nums[l], nums[r]};
            }
            if (nums[l] + nums[r] > target) {
                --r;
            } else {
                ++l;
            }
        }
    }
};
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func twoSum(nums []int, target int) []int {
    l, r := 0, len(nums)-1
    for {
        if nums[l]+nums[r] == target {
            return []int{nums[l], nums[r]}
        }
        if nums[l]+nums[r] > target {
            r--
        } else {
            l++
        }
    }
}
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function twoSum(nums: number[], target: number): number[] {
    let l = 0;
    let r = nums.length - 1;
    while (nums[l] + nums[r] !== target) {
        if (nums[l] + nums[r] < target) {
            l++;
        } else {
            r--;
        }
    }
    return [nums[l], nums[r]];
}
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use std::cmp::Ordering;

impl Solution {
    pub fn two_sum(nums: Vec<i32>, target: i32) -> Vec<i32> {
        let mut l = 0;
        let mut r = nums.len() - 1;
        loop {
            match target.cmp(&(nums[l] + nums[r])) {
                Ordering::Less => {
                    r -= 1;
                }
                Ordering::Greater => {
                    l += 1;
                }
                Ordering::Equal => {
                    break vec![nums[l], nums[r]];
                }
            }
        }
    }
}
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/**
 * @param {number[]} nums
 * @param {number} target
 * @return {number[]}
 */
var twoSum = function (nums, target) {
    let l = 0;
    let r = nums.length - 1;
    while (1) {
        if (nums[l] + nums[r] == target) {
            return [nums[l], nums[r]];
        }
        if (nums[l] + nums[r] > target) {
            --r;
        } else {
            ++l;
        }
    }
};
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public class Solution {
    public int[] TwoSum(int[] nums, int target) {
        int l = 0, r = nums.Length - 1;
        while (true) {
            if (nums[l] + nums[r] == target) {
                return new int[] {nums[l], nums[r]};
            }
            if (nums[l] + nums[r] > target) {
                --r;
            } else {
                ++l;
            }
        }
    }
}

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