Given an array S of n integers, are there elements a, b, c, and d in S such that a + b + c + d = target? Find all unique quadruplets in the array which gives the sum of target.
Note:
- Elements in a quadruplet (a,b,c,d) must be in non-descending order. (ie, a ≤ b ≤ c ≤ d)
- The solution set must not contain duplicate quadruplets.
For example, given array S = {1 0 -1 0 -2 2}, and target = 0. A solution set is: (-1, 0, 0, 1) (-2, -1, 1, 2) (-2, 0, 0, 2)
https://oj.leetcode.com/problems/4sum/
思路:转换成2Sum,注意跟3Sum一样先排序去重。
import java.util.ArrayList;
import java.util.Arrays;
public class Solution {
public ArrayList<ArrayList<Integer>> fourSum(int[] num, int target) {
ArrayList<ArrayList<Integer>> result = new ArrayList<ArrayList<Integer>>();
if (num == null || num.length < 4)
return result;
int n = num.length;
Arrays.sort(num);
int i, j, start, end, sum;
for (i = 0; i < n - 3; i++) {
for (j = i + 1; j < n - 2; j++) {
start = j + 1;
end = n - 1;
while (start < end) {
sum = num[start] + num[end];
if (sum < target - num[i] - num[j])
start++;
else if (sum > target - num[i] - num[j])
end--;
else {
ArrayList<Integer> tmp = new ArrayList<Integer>();
tmp.add(num[i]);
tmp.add(num[j]);
tmp.add(num[start]);
tmp.add(num[end]);
result.add(tmp);
start++;
end--;
while (start < j && num[start - 1] == num[start])
start++;
while (end >= j + 1 && num[end + 1] == num[end])
end--;
}
}
while (j < n - 1 && num[j] == num[j + 1])
j++;
}
while (i < n - 1 && num[i] == num[i + 1])
i++;
}
return result;
}
public static void main(String[] args) {
System.out.println(new Solution().fourSum(new int[] { 1, 0, -1, 0, -2,
2 }, 0));
}
}
第二遍记录:
别忘记先排序。
去重方法类似3Sum。
public class Solution { public List<List<Integer>> fourSum(int[] num, int target) { List<List<Integer>> res = new ArrayList<List<Integer>>(); if(num==null||num.length<4) return res; int n = num.length; Arrays.sort(num); for(int i=0;i<n-3;i++){ for(int j=i+1;j<n-2;j++){ int start = j+1; int end = n-1; while(start<end){ if(num[start]+num[end]<target-num[i]-num[j]){ start++; }else if(num[start]+num[end]>target-num[i]-num[j]){ end--; }else{ List<Integer> tmp = new ArrayList<Integer>(); tmp.add(num[i]); tmp.add(num[j]); tmp.add(num[start]); tmp.add(num[end]); res.add(tmp); start++; end--; while(start<n&&num[start]==num[start-1]) start++; while(end>=0&&num[end]==num[end+1]) end--; } } while(j<n-1&&num[j+1]==num[j]) j++; } while(i<n-1&&num[i]==num[i+1]) i++; } return res; } }