LeetCode 3130: Find All Possible Stable Binary Arrays II Solution

Master LeetCode problem 3130 (Find All Possible Stable Binary Arrays II), 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.

3130. Find All Possible Stable Binary Arrays II

Hard

Dynamic Programming Prefix Sum

Problem Explanation

Explanation

To solve this problem, we can use dynamic programming. We will keep track of the number of stable binary arrays that can be formed up to a certain point in the array. We will iterate through all possible states of the array, considering the number of zeros, ones, and the last subarray length.

Here's the algorithm:

Initialize a 3D array dp to store the number of stable arrays for each state.
Iterate through all possible states, updating dp based on the rules mentioned in the problem.
Return the total number of stable binary arrays modulo 10^9 + 7.

Time complexity: O(zero * one * limit)
Space complexity: O(zero * one * limit)

Solution Code

class Solution {
    public int numOfArrays(int zero, int one, int limit) {
        int MOD = 1000000007;
        int[][][] dp = new int[zero + 1][one + 1][limit + 1];

        for (int i = 1; i <= one; i++) {
            dp[0][i][1] = 1;
        }

        for (int i = 1; i <= zero; i++) {
            for (int j = 0; j <= one; j++) {
                for (int k = 1; k <= limit; k++) {
                    long sum = 0;
                    for (int l = 1; l <= j; l++) {
                        sum = (sum + dp[i - 1][j - l][k - 1]) % MOD;
                    }
                    dp[i][j][k] = (int) sum;
                }
            }
        }

        int result = 0;
        for (int i = 0; i <= one; i++) {
            result = (result + dp[zero][i][limit]) % MOD;
        }

        return result;
    }
}

Try It Yourself

Loading code editor...

Frequently Asked Questions

How to solve LeetCode 3130 (Find All Possible Stable Binary Arrays II)?

This page provides optimized solutions for LeetCode problem 3130 (Find All Possible Stable Binary Arrays II) 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 3130 (Find All Possible Stable Binary Arrays II)?

The time complexity for LeetCode 3130 (Find All Possible Stable Binary Arrays II) varies by solution. Check the detailed explanation section for specific complexities in Java, C++, and Python implementations.

Can I run code for LeetCode 3130 on DevExCode?

Yes, DevExCode provides an interactive code editor where you can write, test, and run your code for LeetCode 3130 in Java, C++, or Python.

Back to LeetCode Solutions