All Tracks Data Structures Advanced Data Structures Suffix Arrays Problem

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Tag(s):

Data Structures, Hard

Problem
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Given a string $$s$$ and a set of $$n$$ strings $$p_i$$.

For each $$i$$ find the number of occurrences of $$p_i$$ in $$s$$ with at most one $$k$$-length gap.

The string $$s$$ occurs in string $$t$$ at position $$p$$ with at most one $$k$$-length gap if strings $$s$$ and $$t_pt_{p+1}\ldots t_{p+|s|-1}$$ are equal with at most one $$k$$-length gap.

Strings $$s$$ and $$r$$ are equal with at most one $$k$$-length gap if:

  1. $$|s| = |r|$$;
  2. or all $$i$$ and $$j$$ such that $$s_i \ne r_i$$ and $$s_j \ne r_j$$, it holds $$|i - j| < k$$.

Input format

First line of input contains single integer $$k$$ ($$1 \leq k \leq 2 \cdot 10^5$$).

Second line of input contains string $$s$$ ($$1 \leq |s| \leq 2 \cdot 10^5$$).

Third line contains an integer $$n$$ ($$1 \leq n \leq 2 \cdot 10^5$$).

Then follow $$n$$ lines. The $$i$$-th of them contains string $$p_i$$ ($$\sum\limits_{i=1}^{n} |p_{i}| \leq 2 \cdot 10^5$$).

$$s$$ and $$p_i$$ can contain characters with codes from $$33$$ to $$126$$, inclusive.

Output format

Print $$n$$ lines. The $$i$$-th of them should contain the number of occurrences $$p_i$$ in $$s$$ with at most one $$k$$-length gap.

SAMPLE INPUT
1
abc
3
ac
b
acb
SAMPLE OUTPUT
2
3
0
Explanation
  • "ac" equals "ab" and "bc"
  • "b" equals "a", "b" and "c"
  • "acb" doesn't equal "abc"
Time Limit: 1.0 sec(s) for each input file.
Memory Limit: 512 MB
Source Limit: 1024 KB
Marking Scheme: Marks are awarded when all the testcases pass.
Allowed Languages: C, C++, C++14, Clojure, C#, D, Erlang, F#, 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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This Problem was Asked in

HackerEarth

Challenge Name

February Circuits '17

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