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Nimxor and Bit-Strings

Problem

Editorial

Analytics

Given a bit-string $$str$$ of $$0s$$ and $$1s$$. you need to answer the following $$q$$ queries.

Each query will contain an integer value $$n$$. You are required to calculate how many bit-strings smaller than or equal to $$str$$ are there which are divisible by $$n$$ when converted to their decimal representation.

$$Input:$$

First line of input contains a single integer $$N$$ representing the length of string.

First line of the input contains a bit-string $$str$$ .

Second line contains a single integer $$q$$, representing the number of queries.

Next $$q$$ lines contain an integer $$n$$ .

$$Output:$$

For each of the query output the number of bit-strings smaller than or equal to $$str$$ which are divisible by $$n$$ . As the answer can be large take modulo with $$10^9+7$$.

$$Input :$$

$$1 \le N \le 10^4$$

$$ 1 \le q \le 10^5 $$

$$ 1 \le n \le 10^2 $$

Explanation

For first query n is 3. Bit-strings divisible by 3 are 1100,1001,0110,0011,0000 .

Time Limit:
1.0 sec(s)
for each input file.

Memory Limit:
256 MB

Source Limit:
1024 KB

Marking Scheme:
Marks are awarded when all the testcases pass.

Allowed Languages:
C,
C++,
C++14,
Clojure,
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D,
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Go,
Groovy,
Haskell,
Java,
Java 8,
JavaScript(Rhino),
JavaScript(Node.js),
Julia,
Kotlin,
Lisp,
Lisp (SBCL),
Lua,
Objective-C,
OCaml,
Octave,
Pascal,
Perl,
PHP,
Python,
Python 3,
R(RScript),
Racket,
Ruby,
Rust,
Scala,
Swift,
Visual Basic

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