From 78a6fa6b008f330cdefdbbca9a58131c86a8dd32 Mon Sep 17 00:00:00 2001 From: Mrzhudky <1183260441@qq.com> Date: Wed, 17 Oct 2018 22:29:36 +0800 Subject: [PATCH 1/4] =?UTF-8?q?018.=E5=9B=9B=E6=95=B0=E4=B9=8B=E5=92=8C[Ja?= =?UTF-8?q?va]?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- solution/018.4Sum/README.md | 96 +++++++++++++++++++++++++++++++++ solution/018.4Sum/Solution.java | 67 +++++++++++++++++++++++ 2 files changed, 163 insertions(+) create mode 100644 solution/018.4Sum/README.md create mode 100644 solution/018.4Sum/Solution.java diff --git a/solution/018.4Sum/README.md b/solution/018.4Sum/README.md new file mode 100644 index 0000000000000..43f996ecb1d24 --- /dev/null +++ b/solution/018.4Sum/README.md @@ -0,0 +1,96 @@ +## 四数之和 +### 题目描述 + +给定一个包含 n 个整数的数组 nums 和一个目标值 target, +判断 nums 中是否存在四个元素 a,b,c 和 d , +使得 a + b + c + d 的值与 target 相等? +找出所有满足条件且不重复的四元组。 + +注意: + +答案中不可以包含重复的四元组。 + +示例: + +给定数组 nums = [1, 0, -1, 0, -2, 2],和 target = 0。 + +满足要求的四元组集合为: +[ + [-1, 0, 0, 1], + [-2, -1, 1, 2], + [-2, 0, 0, 2] +] + + +### 解法 +先将4Sum问题,转换为3Sum问题,再转换为2Sum问题. + +```java +class Solution { + public List> fourSum(int[] nums, int target) { + + List> re = new ArrayList<>(); + if(nums == null || nums.length<4){ + return re; + } + Arrays.sort(nums); + for (int i = 0; i < nums.length-3; i++) { + + //当 nums[i] 对应的最小组合都大于 target 时,后面大于 nums[i] 的组合必然也大于 target, + if(nums[i]+nums[i+1]+nums[i+2]+nums[i+3] > target){ + break; + } + // 当 nums[i] 对应的最大组合都小于 target 时, nums[i] 的其他组合必然也小于 target + if(nums[i]+nums[nums.length-3]+nums[nums.length-2] + nums[nums.length-1] < target){ + continue; + } + + int firstNum = nums[i]; + for (int j = i+1; j < nums.length-2; j++) { + + // nums[j] 过大时,与nums[i]过大同理 + if(nums[i]+nums[j]+nums[j+1]+nums[j+2] > target){ + break; + } + // nums[j] 过小时,与nums[i]过小同理 + if(nums[i]+nums[j]+nums[nums.length-2] + nums[nums.length-1] < target){ + continue; + } + + int twoSum = target - nums[i]-nums[j]; + int l = j+1; + int k = nums.length-1; + while (l oneGroup = new ArrayList<>(4); + oneGroup.add(nums[i]); + oneGroup.add(nums[j]); + oneGroup.add(nums[l++]); + oneGroup.add(nums[k--]); + re.add(oneGroup); + while (l> fourSum(int[] nums, int target) { + + List> re = new ArrayList<>(); + if(nums == null || nums.length<4){ + return re; + } + Arrays.sort(nums); + for (int i = 0; i < nums.length-3; i++) { + + //当 nums[i] 对应的最小组合都大于 target 时,后面大于 nums[i] 的组合必然也大于 target, + if(nums[i]+nums[i+1]+nums[i+2]+nums[i+3] > target){ + break; + } + // 当 nums[i] 对应的最大组合都小于 target 时, nums[i] 的其他组合必然也小于 target + if(nums[i]+nums[nums.length-3]+nums[nums.length-2] + nums[nums.length-1] < target){ + continue; + } + + int firstNum = nums[i]; + for (int j = i+1; j < nums.length-2; j++) { + + // nums[j] 过大时,与nums[i]过大同理 + if(nums[i]+nums[j]+nums[j+1]+nums[j+2] > target){ + break; + } + // nums[j] 过小时,与nums[i]过小同理 + if(nums[i]+nums[j]+nums[nums.length-2] + nums[nums.length-1] < target){ + continue; + } + + int twoSum = target - nums[i]-nums[j]; + int l = j+1; + int k = nums.length-1; + while (l oneGroup = new ArrayList<>(4); + oneGroup.add(nums[i]); + oneGroup.add(nums[j]); + oneGroup.add(nums[l++]); + oneGroup.add(nums[k--]); + re.add(oneGroup); + while (l Date: Thu, 18 Oct 2018 10:07:13 +0800 Subject: [PATCH 2/4] Add solution 018[Java] --- solution/018.4Sum/README.md | 35 ++++++++++++++++++--------------- solution/018.4Sum/Solution.java | 30 ++++++++++++++-------------- 2 files changed, 34 insertions(+), 31 deletions(-) diff --git a/solution/018.4Sum/README.md b/solution/018.4Sum/README.md index 43f996ecb1d24..ce67d8bf1326b 100644 --- a/solution/018.4Sum/README.md +++ b/solution/018.4Sum/README.md @@ -23,70 +23,73 @@ ### 解法 -先将4Sum问题,转换为3Sum问题,再转换为2Sum问题. +1、将数组排序 +2、先假设确定一个数 nums[i] 将 4Sum 问题转换为 3Sum 问题; +3、再假设确定一个数将 3Sum 问题转换为 2Sum 问题; +4、对排序数组,用首尾指针向中间靠拢的思路寻找满足 target 的 nums[l] 和 nums[k] ```java class Solution { public List> fourSum(int[] nums, int target) { List> re = new ArrayList<>(); - if(nums == null || nums.length<4){ + if(nums == null || nums.length<4) { return re; } Arrays.sort(nums); for (int i = 0; i < nums.length-3; i++) { - //当 nums[i] 对应的最小组合都大于 target 时,后面大于 nums[i] 的组合必然也大于 target, - if(nums[i]+nums[i+1]+nums[i+2]+nums[i+3] > target){ + // 当 nums[i] 对应的最小组合都大于 target 时,后面大于 nums[i] 的组合必然也大于 target, + if(nums[i]+nums[i+1]+nums[i+2]+nums[i+3] > target) { break; } // 当 nums[i] 对应的最大组合都小于 target 时, nums[i] 的其他组合必然也小于 target - if(nums[i]+nums[nums.length-3]+nums[nums.length-2] + nums[nums.length-1] < target){ + if(nums[i]+nums[nums.length-3]+nums[nums.length-2] + nums[nums.length-1] < target) { continue; } int firstNum = nums[i]; for (int j = i+1; j < nums.length-2; j++) { - // nums[j] 过大时,与nums[i]过大同理 - if(nums[i]+nums[j]+nums[j+1]+nums[j+2] > target){ + // nums[j] 过大时,与 nums[i] 过大同理 + if(nums[i] + nums[j] + nums[j+1] + nums[j+2] > target) { break; } - // nums[j] 过小时,与nums[i]过小同理 - if(nums[i]+nums[j]+nums[nums.length-2] + nums[nums.length-1] < target){ + // nums[j] 过小时,与 nums[i] 过小同理 + if(nums[i] + nums[j] + nums[nums.length-2] + nums[nums.length-1] < target) { continue; } int twoSum = target - nums[i]-nums[j]; int l = j+1; int k = nums.length-1; - while (l oneGroup = new ArrayList<>(4); oneGroup.add(nums[i]); oneGroup.add(nums[j]); oneGroup.add(nums[l++]); oneGroup.add(nums[k--]); re.add(oneGroup); - while (l> fourSum(int[] nums, int target) { List> re = new ArrayList<>(); - if(nums == null || nums.length<4){ + if(nums == null || nums.length<4) { return re; } Arrays.sort(nums); for (int i = 0; i < nums.length-3; i++) { - //当 nums[i] 对应的最小组合都大于 target 时,后面大于 nums[i] 的组合必然也大于 target, - if(nums[i]+nums[i+1]+nums[i+2]+nums[i+3] > target){ + // 当 nums[i] 对应的最小组合都大于 target 时,后面大于 nums[i] 的组合必然也大于 target, + if(nums[i]+nums[i+1]+nums[i+2]+nums[i+3] > target) { break; } // 当 nums[i] 对应的最大组合都小于 target 时, nums[i] 的其他组合必然也小于 target - if(nums[i]+nums[nums.length-3]+nums[nums.length-2] + nums[nums.length-1] < target){ + if(nums[i]+nums[nums.length-3]+nums[nums.length-2] + nums[nums.length-1] < target) { continue; } int firstNum = nums[i]; for (int j = i+1; j < nums.length-2; j++) { - // nums[j] 过大时,与nums[i]过大同理 - if(nums[i]+nums[j]+nums[j+1]+nums[j+2] > target){ + // nums[j] 过大时,与 nums[i] 过大同理 + if(nums[i] + nums[j] + nums[j+1] + nums[j+2] > target) { break; } - // nums[j] 过小时,与nums[i]过小同理 - if(nums[i]+nums[j]+nums[nums.length-2] + nums[nums.length-1] < target){ + // nums[j] 过小时,与 nums[i] 过小同理 + if(nums[i] + nums[j] + nums[nums.length-2] + nums[nums.length-1] < target) { continue; } int twoSum = target - nums[i]-nums[j]; int l = j+1; int k = nums.length-1; - while (l oneGroup = new ArrayList<>(4); oneGroup.add(nums[i]); oneGroup.add(nums[j]); oneGroup.add(nums[l++]); oneGroup.add(nums[k--]); re.add(oneGroup); - while (l Date: Thu, 18 Oct 2018 10:14:23 +0800 Subject: [PATCH 3/4] Update format and solution description For Solution 018[Java] --- solution/018.4Sum/README.md | 20 ++++++++++---------- solution/018.4Sum/Solution.java | 20 ++++++++++---------- 2 files changed, 20 insertions(+), 20 deletions(-) diff --git a/solution/018.4Sum/README.md b/solution/018.4Sum/README.md index ce67d8bf1326b..7fca0a5c2a1a6 100644 --- a/solution/018.4Sum/README.md +++ b/solution/018.4Sum/README.md @@ -33,23 +33,23 @@ class Solution { public List> fourSum(int[] nums, int target) { List> re = new ArrayList<>(); - if(nums == null || nums.length<4) { + if(nums == null || nums.length < 4) { return re; } Arrays.sort(nums); - for (int i = 0; i < nums.length-3; i++) { + for (int i = 0; i < nums.length - 3; i++) { // 当 nums[i] 对应的最小组合都大于 target 时,后面大于 nums[i] 的组合必然也大于 target, - if(nums[i]+nums[i+1]+nums[i+2]+nums[i+3] > target) { + if(nums[i] + nums[i+1] + nums[i+2] + nums[i+3] > target) { break; } // 当 nums[i] 对应的最大组合都小于 target 时, nums[i] 的其他组合必然也小于 target - if(nums[i]+nums[nums.length-3]+nums[nums.length-2] + nums[nums.length-1] < target) { + if(nums[i] + nums[nums.length-3] + nums[nums.length-2] + nums[nums.length-1] < target) { continue; } int firstNum = nums[i]; - for (int j = i+1; j < nums.length-2; j++) { + for (int j = i + 1; j < nums.length - 2; j++) { // nums[j] 过大时,与 nums[i] 过大同理 if(nums[i] + nums[j] + nums[j+1] + nums[j+2] > target) { @@ -60,10 +60,10 @@ class Solution { continue; } - int twoSum = target - nums[i]-nums[j]; - int l = j+1; - int k = nums.length-1; - while (l oneGroup = new ArrayList<>(4); @@ -89,7 +89,7 @@ class Solution { } } // 跳过重复项 - while (i < nums.length-3 && nums[i+1] == firstNum){ + while (i < nums.length - 3 && nums[i+1] == firstNum){ i++; } } diff --git a/solution/018.4Sum/Solution.java b/solution/018.4Sum/Solution.java index 0df98a1a610d2..2d93cc423c4df 100644 --- a/solution/018.4Sum/Solution.java +++ b/solution/018.4Sum/Solution.java @@ -2,23 +2,23 @@ class Solution { public List> fourSum(int[] nums, int target) { List> re = new ArrayList<>(); - if(nums == null || nums.length<4) { + if(nums == null || nums.length < 4) { return re; } Arrays.sort(nums); - for (int i = 0; i < nums.length-3; i++) { + for (int i = 0; i < nums.length - 3; i++) { // 当 nums[i] 对应的最小组合都大于 target 时,后面大于 nums[i] 的组合必然也大于 target, - if(nums[i]+nums[i+1]+nums[i+2]+nums[i+3] > target) { + if(nums[i] + nums[i+1] + nums[i+2] + nums[i+3] > target) { break; } // 当 nums[i] 对应的最大组合都小于 target 时, nums[i] 的其他组合必然也小于 target - if(nums[i]+nums[nums.length-3]+nums[nums.length-2] + nums[nums.length-1] < target) { + if(nums[i] + nums[nums.length-3] + nums[nums.length-2] + nums[nums.length-1] < target) { continue; } int firstNum = nums[i]; - for (int j = i+1; j < nums.length-2; j++) { + for (int j = i + 1; j < nums.length - 2; j++) { // nums[j] 过大时,与 nums[i] 过大同理 if(nums[i] + nums[j] + nums[j+1] + nums[j+2] > target) { @@ -29,10 +29,10 @@ public List> fourSum(int[] nums, int target) { continue; } - int twoSum = target - nums[i]-nums[j]; - int l = j+1; - int k = nums.length-1; - while (l oneGroup = new ArrayList<>(4); @@ -58,7 +58,7 @@ else if(tempSum < twoSum) { } } // 跳过重复项 - while (i < nums.length-3 && nums[i+1] == firstNum){ + while (i < nums.length - 3 && nums[i+1] == firstNum){ i++; } } From 408e8e9ca22e6027e4b69c181fae3a27c3dcd25d Mon Sep 17 00:00:00 2001 From: Mrzhudky <1183260441@qq.com> Date: Thu, 18 Oct 2018 10:19:38 +0800 Subject: [PATCH 4/4] Repair list display problem --- solution/018.4Sum/README.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/solution/018.4Sum/README.md b/solution/018.4Sum/README.md index 7fca0a5c2a1a6..3894e0b6e6393 100644 --- a/solution/018.4Sum/README.md +++ b/solution/018.4Sum/README.md @@ -23,10 +23,10 @@ ### 解法 -1、将数组排序 -2、先假设确定一个数 nums[i] 将 4Sum 问题转换为 3Sum 问题; -3、再假设确定一个数将 3Sum 问题转换为 2Sum 问题; -4、对排序数组,用首尾指针向中间靠拢的思路寻找满足 target 的 nums[l] 和 nums[k] +1. 将数组排序 +2. 先假设确定一个数 nums[i] 将 4Sum 问题转换为 3Sum 问题; +3. 再假设确定一个数将 3Sum 问题转换为 2Sum 问题; +4. 对排序数组,用首尾指针向中间靠拢的思路寻找满足 target 的 nums[l] 和 nums[k] ```java class Solution {