474. Ones and Zeroes

Source code notebook Author Update time

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

Return the size of the largest subset ofstrs 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
# @lc code=start
using LeetCode

function find_max_form(strs::Vector{String}, m::Int, n::Int)
    dp = OffsetArray(fill(0, m + 1, n + 1), -1, -1)
    for str in strs
        o = count(==('1'), str)
        z = length(str) - o
        for j in m:-1:z, k in n:-1:o
            dp[j, k] = max(dp[j, k], dp[j - z, k - o] + 1)
        end
    end
    return dp[end]
end
# @lc code=end
find_max_form (generic function with 1 method)

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