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[LeetCode] Partition Equal Subset Sum

2017-06-07 13:28 351 查看
Given a non-empty array containing only positive integers, find if the array can be partitioned into two subsets such that the sum of elements
in both subsets is equal.
Note:

Each of the array element will not exceed 100.
The array size will not exceed 200.

Example 1:
Input: [1, 5, 11, 5]

Output: true

Explanation: The array can be partitioned as [1, 5, 5] and [11].


Example 2:
Input: [1, 2, 3, 5]

Output: false

Explanation: The array cannot be partitioned into equal sum subsets.


public class Solution {
public boolean canPartition(int[] nums) {
if(nums.length==0) return false;
int sum=0;
for(int i=0;i<nums.length;i++){
sum+=nums[i];
}
if(sum%2==1) return false;
boolean[] dp=new boolean[sum/2+1];
dp[0]=true;
for(int i=0;i<nums.length;i++){
for(int j=dp.length-1;j>0;j--){
if(nums[i]>j) break;;
if(dp[j-nums[i]]) dp[j]=true;
}
}
return dp[sum/2];
}
}
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