Given the integers zero, one, low, and high, we can construct a string by starting with an empty string, and then at each step perform either of the following:
'0' zero times.'1' one times.This can be performed any number of times.
\n\nA good string is a string constructed by the above process having a length between low and high (inclusive).
Return the number of different good strings that can be constructed satisfying these properties. Since the answer can be large, return it modulo 109 + 7.
\n
Example 1:
\n\n\nInput: low = 3, high = 3, zero = 1, one = 1\nOutput: 8\nExplanation: \nOne possible valid good string is "011". \nIt can be constructed as follows: "" -> "0" -> "01" -> "011". \nAll binary strings from "000" to "111" are good strings in this example.\n\n\n
Example 2:
\n\n\nInput: low = 2, high = 3, zero = 1, one = 2\nOutput: 5\nExplanation: The good strings are "00", "11", "000", "110", and "011".\n\n\n
\n
Constraints:
\n\n1 <= low <= high <= 1051 <= zero, one <= lowCompiled with clang 11 using the latest C++ 17 standard.
Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.
Most standard library headers are already included automatically for your convenience.
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