Question Definition
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.
### Java Solution
```java
public boolean canPartition(int[] nums) {
if(nums.length == 0) return true;
int sum = 0;
for(int num : nums)
sum += num;
if(sum % 2 != 0) return false;
boolean[] dp = new boolean[sum / 2 + 1];
dp[0] = true;
for (int i = 0; i < nums.length; ++i) {
for (int j = sum / 2; j >= nums[i]; --j) {
dp[j] = dp[j] || dp[j - nums[i]];
}
}
return dp[sum / 2];
}
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