18. 4Sum [four and the number of]

description

Given a n array of integers and a target nums target, if there are four elements a, b, c, and d nums determined such that a + b + c + d is equal to the value of the target? Identify all satisfy the conditions of the quad and do not repeat.
Note:
The answer can not contain duplicate quad.

Examples of
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ideas

Sum Noriyuki same three number

answer

  • python
class Solution:
    def fourSum(self, nums: List[int], target: int) -> List[List[int]]:
        res=[]
        nums.sort()
        n=len(nums)
        for i in range(n-3):
            if i-1>=0 and nums[i]==nums[i-1]: continue
            if nums[i]+nums[i+1]+nums[i+3]+nums[i+2]>target: break
            if nums[i]+nums[n-1]+nums[n-2]+nums[n-3]<target: continue
            for j in range(i+1,n-2):
                if j-1>=i+1 and nums[j]==nums[j-1]: continue
                if nums[i]+nums[j]+nums[j+1]+nums[j+2]>target: break
                if nums[i]+nums[j]+nums[n-1]+nums[n-2]<target: continue
                a,b = j+1, len(nums)-1
                
                while a<b:
                    t = nums[i]+nums[j]+nums[a]+nums[b]
                    if t<target: a+=1
                    if t>target: b-=1
                    if t==target: 
                        res.append([nums[i],nums[j],nums[a],nums[b]])
                        while a<b and nums[b]==nums[b-1]: b-=1
                        while a<b and nums[a]==nums[a+1]: a+=1
                        a+=1
                        b-=1
                        
        return res
  • c++
class Solution {
public:
    vector<vector<int>> fourSum(vector<int>& nums, int target) {
        sort(nums.begin(), nums.end());
        vector<vector<int>> res;
        int n=nums.size();
        for (int i=0; i<n-3; i++)
        {
            if (i-1>=0 && nums[i]==nums[i-1]) continue;
            if (nums[i]+nums[i+1]+nums[i+2]+nums[i+3]>target) break;
            if (nums[i]+nums[n-1]+nums[n-2]+nums[n-3]<target) continue;
            for (int j=i+1; j<n-2; j++)
            {
                if (j-1>=i+1 && nums[j]==nums[j-1]) continue;
                if (nums[i]+nums[j]+nums[j+1]+nums[j+2]>target) break;
                if (nums[i]+nums[j]+nums[n-1]+nums[n-2]<target) continue;
                int a=j+1, b=nums.size()-1;
                while (a<b)
                {
                    int t = nums[i]+nums[j]+nums[a]+nums[b];
                    
                    if (t<target) a++;
                    if (t>target) b--;
                    if (t==target)
                    {
                        vector<int> temp = {nums[i],nums[j],nums[a],nums[b]};
                        res.push_back(temp);
                        while (a<b && nums[b]==nums[b-1]) b--;
                        while (a<b && nums[a]==nums[a+1]) a++;
                        b--;
                        a++;
                    }
                    
                }
            }
        }
        
        return res;
    }
};
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Origin blog.csdn.net/puspos/article/details/103149311