https://leetcode.com/problems/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
- code
class Solution:
def findMaxForm(self, strs: List[str], m: int, n: int) -> int:
dp = [[0] * (n+1) for _ in range(m+1)]
for s in strs:
zero_ct = s.count('0')
one_ct = len(s) - zero_ct
for i in reversed(range(zero_ct, m + 1)):
for j in reversed(range(one_ct, n + 1)):
dp[i][j] = max(dp[i][j], 1 + dp[i - zero_ct][j - one_ct])
return dp[-1][-1]