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Partition Equal Subset Sum

Explore how to determine whether a given array of positive integers can be partitioned into two subsets of equal sum. Learn dynamic programming strategies such as memoization and tabulation to solve this problem efficiently. This lesson helps develop problem-solving skills with constraints and logical thinking necessary for coding interviews.

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Statement

Given a non-empty array of positive integers, determine if the array can be divided into two subsets so that the sum of both subsets is equal.

Constraints:

  • 1≤1 \leq nums.length ≤200\leq 200
  • 1≤1 \leq nums[i] ≤100\leq 100

Examples

Understand the problem

Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

Partition Equal Subset Sum

1.

What is the output if the array [1, 2, 5, 2] is given as input?

A.

TRUE

B.

FALSE

1 / 4

Figure it out!

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Sequence - Vertical
Drag and drop the cards to rearrange them in the correct sequence.
1
2
3
4
5

Try it yourself

Implement your solution in the following coding playground:

Java
usercode > PartitionEqualSum.java
import java.util.*;
public class PartitionEqualSum{
   public static boolean canPartitionArray(int[] arr) {
      // Replace this placeholder return statement with your code
         
      return false;
   }
}
Partition Equal Subset Sum