Ones and Zeroes

strs is a list of binary strings. Return the largest number of strings you can pick so that together they contain at most m zeros and at most n ones. Each string can be picked once.

For strs = ["10", "0001", "111001", "1", "0"], m = 5 and n = 3 the answer is 4.

Examples

Example 1

Input:

find_max_form(['10', '0001', '111001', '1', '0'], 5, 3)

Output:

4

Example 2

Input:

find_max_form(['10', '0', '1'], 1, 1)

Output:

2

Constraints

• 0 <= len(strs) <= 200
• 1 <= len(string) <= 20
• 0 <= m, n <= 60