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| 1 | +/** |
| 2 | + * [18] 四数之和 |
| 3 | + * |
| 4 | + * 给你一个由 n 个整数组成的数组 nums ,和一个目标值 target 。请你找出并返回满足下述全部条件且不重复的四元组 [nums[a], nums[b], nums[c], nums[d]] (若两个四元组元素一一对应,则认为两个四元组重复): |
| 5 | + * |
| 6 | + * 0 <= a, b, c, d < n |
| 7 | + * a、b、c 和 d 互不相同 |
| 8 | + * nums[a] + nums[b] + nums[c] + nums[d] == target |
| 9 | + * |
| 10 | + * 你可以按 任意顺序 返回答案 。 |
| 11 | + * |
| 12 | + * 示例 1: |
| 13 | + * |
| 14 | + * 输入:nums = [1,0,-1,0,-2,2], target = 0 |
| 15 | + * 输出:[[-2,-1,1,2],[-2,0,0,2],[-1,0,0,1]] |
| 16 | + * |
| 17 | + * 示例 2: |
| 18 | + * |
| 19 | + * 输入:nums = [2,2,2,2,2], target = 8 |
| 20 | + * 输出:[[2,2,2,2]] |
| 21 | + * |
| 22 | + * |
| 23 | + * 提示: |
| 24 | + * |
| 25 | + * 1 <= nums.length <= 200 |
| 26 | + * -10^9 <= nums[i] <= 10^9 |
| 27 | + * -10^9 <= target <= 10^9 |
| 28 | + * |
| 29 | + */ |
| 30 | +pub struct Solution {} |
| 31 | + |
| 32 | +// problem: https://leetcode.cn/problems/4sum/ |
| 33 | +// discuss: https://leetcode.cn/problems/4sum/discuss/?currentPage=1&orderBy=most_votes&query= |
| 34 | + |
| 35 | +// submission codes start here |
| 36 | + |
| 37 | +impl Solution { |
| 38 | + pub fn four_sum(nums: Vec<i32>, target: i32) -> Vec<Vec<i32>> { |
| 39 | + if nums.len() < 4 { |
| 40 | + return vec![]; |
| 41 | + } |
| 42 | + let mut nums = nums; |
| 43 | + nums.sort(); |
| 44 | + |
| 45 | + let mut res: Vec<Vec<i32>> = vec![]; |
| 46 | + |
| 47 | + let target = target as i64; |
| 48 | + let mut i = 0; |
| 49 | + while i < nums.len() - 3 { |
| 50 | + let mut j = i + 1; |
| 51 | + while j < nums.len() - 2 { |
| 52 | + let mut k = j + 1; |
| 53 | + let mut l = nums.len() - 1; |
| 54 | + while k < l { |
| 55 | + let curr: i64 = nums[i] as i64 + nums[j] as i64 + nums[k] as i64 + nums[l] as i64; |
| 56 | + if curr == target { |
| 57 | + res.push(vec![nums[i], nums[j], nums[k], nums[l]]); |
| 58 | + k = Self::find_next_uniq(&nums, k, true); |
| 59 | + l = Self::find_next_uniq(&nums, l, false); |
| 60 | + } else if curr > target { |
| 61 | + l = Self::find_next_uniq(&nums, l, false); |
| 62 | + } else { |
| 63 | + k = Self::find_next_uniq(&nums, k, true); |
| 64 | + } |
| 65 | + } |
| 66 | + j = Self::find_next_uniq(&nums, j, true); |
| 67 | + } |
| 68 | + i = Self::find_next_uniq(&nums, i, true); |
| 69 | + } |
| 70 | + |
| 71 | + res |
| 72 | + } |
| 73 | + |
| 74 | + #[inline(always)] |
| 75 | + fn find_next_uniq(nums: &[i32], idx: usize, forward: bool) -> usize { |
| 76 | + let curr = nums[idx]; |
| 77 | + let mut i = idx; |
| 78 | + if forward { |
| 79 | + while i < nums.len() && nums[i] == curr { |
| 80 | + i += 1; |
| 81 | + } |
| 82 | + } else { |
| 83 | + while i > 0 && nums[i] == curr { |
| 84 | + i -= 1; |
| 85 | + } |
| 86 | + } |
| 87 | + i |
| 88 | + } |
| 89 | +} |
| 90 | + |
| 91 | +// submission codes end |
| 92 | + |
| 93 | +#[cfg(test)] |
| 94 | +mod tests { |
| 95 | + use std::vec; |
| 96 | + |
| 97 | + use super::*; |
| 98 | + |
| 99 | + #[test] |
| 100 | + fn test_18() { |
| 101 | + assert_eq!( |
| 102 | + Solution::four_sum(vec![1, 0, -1, 0, -2, 2], 0), |
| 103 | + vec![vec![-2, -1, 1, 2], vec![-2, 0, 0, 2], vec![-1, 0, 0, 1]] |
| 104 | + ); |
| 105 | + |
| 106 | + assert_eq!( |
| 107 | + Solution::four_sum(vec![2, 2, 2, 2, 2], 8), |
| 108 | + vec![vec![2, 2, 2, 2]] |
| 109 | + ); |
| 110 | + |
| 111 | + let emptyvec: Vec<Vec<i32>> = vec![]; |
| 112 | + assert_eq!( |
| 113 | + Solution::four_sum(vec![1000000000, 1000000000, 1000000000, 1000000000], -294967296), |
| 114 | + emptyvec |
| 115 | + ); |
| 116 | + } |
| 117 | +} |
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