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6954. 统计和小于目标的下标对数目

给你一个下标从 0 开始长度为 n 的整数数组 nums 和一个整数 target ,请你返回满足 0 <= i < j < nnums[i] + nums[j] < target 的下标对 (i, j) 的数目。

 

示例 1:

输入:nums = [-1,1,2,3,1], target = 2
输出:3
解释:总共有 3 个下标对满足题目描述:
- (0, 1) ,0 < 1 且 nums[0] + nums[1] = 0 < target
- (0, 2) ,0 < 2 且 nums[0] + nums[2] = 1 < target 
- (0, 4) ,0 < 4 且 nums[0] + nums[4] = 0 < target
注意 (0, 3) 不计入答案因为 nums[0] + nums[3] 不是严格小于 target 。

示例 2:

输入:nums = [-6,2,5,-2,-7,-1,3], target = -2
输出:10
解释:总共有 10 个下标对满足题目描述:
- (0, 1) ,0 < 1 且 nums[0] + nums[1] = -4 < target
- (0, 3) ,0 < 3 且 nums[0] + nums[3] = -8 < target
- (0, 4) ,0 < 4 且 nums[0] + nums[4] = -13 < target
- (0, 5) ,0 < 5 且 nums[0] + nums[5] = -7 < target
- (0, 6) ,0 < 6 且 nums[0] + nums[6] = -3 < target
- (1, 4) ,1 < 4 且 nums[1] + nums[4] = -5 < target
- (3, 4) ,3 < 4 且 nums[3] + nums[4] = -9 < target
- (3, 5) ,3 < 5 且 nums[3] + nums[5] = -3 < target
- (4, 5) ,4 < 5 且 nums[4] + nums[5] = -8 < target
- (4, 6) ,4 < 6 且 nums[4] + nums[6] = -4 < target

 

提示:

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class Solution { public: int countPairs(vector<int>& nums, int target) { } };

rust 解法, 执行用时: 0 ms, 内存消耗: 2.1 MB, 提交时间: 2023-09-12 11:43:19

impl Solution {
    pub fn count_pairs(nums: Vec<i32>, target: i32) -> i32 {
        let mut nums = nums;
        nums.sort();
        let (mut ans, mut left, mut right): (usize, usize, usize) = (0, 0, nums.len() - 1);
        while left < right {
            if nums[left] + nums[right] < target {
                ans += right - left;
                left += 1;
            } else {
                right -= 1;
            }
        }
        return ans as i32;
    }
}

typescript 解法, 执行用时: 76 ms, 内存消耗: 43.9 MB, 提交时间: 2023-09-12 10:18:55

function countPairs(nums: number[], target: number): number {
    let res = 0, n = nums.length

    for(let i = 0; i < n - 1; i++) {
        for(let j = i + 1; j < n; j++) {
            if(nums[i] + nums[j] < target) res++
        }
    }

    return res
};

cpp 解法, 执行用时: 12 ms, 内存消耗: 20 MB, 提交时间: 2023-09-12 10:18:38

class Solution {
public:
    int countPairs(vector<int> &nums, int target) {
        sort(nums.begin(), nums.end());
        int ans = 0, left = 0, right = nums.size() - 1;
        while (left < right) {
            if (nums[left] + nums[right] < target) {
                ans += right - left;
                left++;
            } else {
                right--;
            }
        }
        return ans;
    }
};

java 解法, 执行用时: 2 ms, 内存消耗: 40.1 MB, 提交时间: 2023-09-12 10:17:34

class Solution {
    public int countPairs(List<Integer> nums, int target) {
        Collections.sort(nums);
        int ans = 0, left = 0, right = nums.size() - 1;
        while (left < right) {
            if (nums.get(left) + nums.get(right) < target) {
                ans += right - left;
                left++;
            } else {
                right--;
            }
        }
        return ans;
    }
}

javascript 解法, 执行用时: 68 ms, 内存消耗: 42.9 MB, 提交时间: 2023-09-12 10:16:57

/**
 * @param {number[]} nums
 * @param {number} target
 * @return {number}
 */
var countPairs = function (nums, target) {
    nums.sort((a, b) => a - b);
    let ans = 0, left = 0, right = nums.length - 1;
    while (left < right) {
        if (nums[left] + nums[right] < target) {
            ans += right - left;
            left++;
        } else {
            right--;
        }
    }
    return ans;
};

php 解法, 执行用时: 16 ms, 内存消耗: 19.1 MB, 提交时间: 2023-09-12 10:16:01

class Solution {

    /**
     * @param Integer[] $nums
     * @param Integer $target
     * @return Integer
     */
    function countPairs($nums, $target) {
        sort($nums);
        $ans = 0;
        $left = 0;
        $right = count($nums)-1;
        while ( $left < $right ) {
            if ( $nums[$left] + $nums[$right] < $target ) {
                $ans += $right - $left;
                $left++;
            } else {
                $right--;
            }
        }
        return $ans;
    }
}

golang 解法, 执行用时: 4 ms, 内存消耗: 2.5 MB, 提交时间: 2023-08-21 09:33:40

func countPairs(nums []int, target int) (ans int) {
	sort.Ints(nums)
	left, right := 0, len(nums)-1
	for left < right {
		if nums[left]+nums[right] < target {
			ans += right - left
			left++
		} else {
			right--
		}
	}
	return
}

python3 解法, 执行用时: 36 ms, 内存消耗: 16.2 MB, 提交时间: 2023-08-21 09:33:22

class Solution:
    def countPairs(self, nums: List[int], target: int) -> int:
        nums.sort()
        ans = left = 0
        right = len(nums) - 1
        while left < right:
            if nums[left] + nums[right] < target:
                ans += right - left
                left += 1
            else:
                right -= 1
        return ans

python3 解法, 执行用时: 52 ms, 内存消耗: 16.1 MB, 提交时间: 2023-08-21 09:32:45

class Solution:
    def countPairs(self, nums: List[int], target: int) -> int:
        n, ans = len(nums), 0
        nums.sort()
        for i in range(0, n-1):
            for j in range(i+1, n):
                if nums[i] + nums[j] < target:
                    ans += 1
                else:
                    break
        return ans

python3 解法, 执行用时: 48 ms, 内存消耗: 15.9 MB, 提交时间: 2023-08-21 09:30:31

class Solution:
    def countPairs(self, nums: List[int], target: int) -> int:
        n, ans = len(nums), 0
        for i in range(0, n-1):
            for j in range(i+1, n):
                if nums[i] + nums[j] < target:
                    ans += 1
        return ans

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