LeetCode 805: Split Array With Same Average Solution

Master LeetCode problem 805 (Split Array With Same Average), a hard challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

805. Split Array With Same Average

Hard

Array Math Dynamic Programming Bit Manipulation Bitmask

Problem Explanation

Explanation

To solve this problem, we can use a dynamic programming approach. We need to check if it is possible to split the input array into two subarrays with equal average. We can iterate through the input array and calculate the sum of all elements. Then, we iterate through the possible lengths of the first subarray and check if we can achieve the same average in both subarrays by choosing elements for the first subarray.

Create a 2D boolean array dp to store whether it is possible to achieve a certain sum with a certain length.
Initialize dp[0][0] as true, as it is always possible to achieve sum 0 with length 0.
Iterate through the input array and update the dp array.
Check if it is possible to achieve the same average in both subarrays by checking if there exists a length len such that sum * len == totalSum * len1.

Time complexity: O(n * sum), where n is the number of elements in the input array and sum is the sum of all elements. Space complexity: O(n * sum).

Solution Code

class Solution {
    public boolean splitArraySameAverage(int[] nums) {
        int n = nums.length;
        int sum = 0;
        for (int num : nums) {
            sum += num;
        }

        boolean[][] dp = new boolean[sum + 1][n / 2 + 1];
        dp[0][0] = true;

        for (int num : nums) {
            for (int s = sum; s >= num; s--) {
                for (int len = 1; len <= n / 2; len++) {
                    dp[s][len] |= dp[s - num][len - 1];
                }
            }
        }

        for (int len = 1; len <= n / 2; len++) {
            if (sum * len % n == 0 && dp[sum * len / n][len]) {
                return true;
            }
        }

        return false;
    }
}

Try It Yourself

Loading code editor...

Frequently Asked Questions

How to solve LeetCode 805 (Split Array With Same Average)?

This page provides optimized solutions for LeetCode problem 805 (Split Array With Same Average) in Java, C++, and Python, along with a detailed explanation and an interactive code editor to test your code.

What is the time complexity of LeetCode 805 (Split Array With Same Average)?

The time complexity for LeetCode 805 (Split Array With Same Average) varies by solution. Check the detailed explanation section for specific complexities in Java, C++, and Python implementations.

Can I run code for LeetCode 805 on DevExCode?

Yes, DevExCode provides an interactive code editor where you can write, test, and run your code for LeetCode 805 in Java, C++, or Python.

Back to LeetCode Solutions