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Ones and Zeroes

You are given an array of binary strings strs and two integers m and n.

Return the size of the largest subset of strs such that there are at most m 0's and n 1's in the subset.

A set x is a subset of a set y if all elements of x are also elements of y.


Example 1:

Input: strs = ["10","0001","111001","1","0"], m = 5, n = 3
Output: 4
Explanation: The largest subset with at most 5 0's and 3 1's is {"10", "0001", "1", "0"}, so the answer is 4.
Other valid but smaller subsets include {"0001", "1"} and {"10", "1", "0"}.
{"111001"} is an invalid subset because it contains 4 1's, greater than the maximum of 3.

Example 2:

Input: strs = ["10","0","1"], m = 1, n = 1
Output: 2
Explanation: The largest subset is {"0", "1"}, so the answer is 2.

Constraints:

  • 1 <= strs.length <= 600

  • 1 <= strs[i].length <= 100

  • strs[i] consists only of digits '0' and '1'.

  • 1 <= m, n <= 100

Solution:


class Solution {
    public int findMaxForm(String[] strs, int m, int n) {
        int[][] dp=new int[m+1][n+1];
        for(String s:strs)
        {
            int zeros=0,ones=0;
            for(char c:s.toCharArray())
            {
                if(c=='0') zeros++;
                else ones++;
            }
            for(int i=m;i>=zeros;i--)
            {
                for(int j=n;j>=ones;j--)
                {
                    dp[i][j]= Math.max(dp[i][j],dp[i-zeros][j-ones]+1);
                }
            }
        }
        return dp[m][n];
    }
}

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