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AVAILABLE LESSONS:

Lesson 1

Iterations

Lesson 2

Arrays

Lesson 3

Time Complexity

Lesson 4

Counting Elements

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Prefix Sums

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Stacks and Queues

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Leader

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Maximum slice problem

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Prime and composite numbers

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Sieve of Eratosthenes

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Euclidean algorithm

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Fibonacci numbers

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Binary search algorithm

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Caterpillar method

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Greedy algorithms

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Dynamic programming

Lesson 90

Tasks from Indeed Prime 2015 challenge

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Tasks from Indeed Prime 2016 challenge

Lesson 92

Tasks from Indeed Prime 2016 College Coders challenge

Lesson 99

Future training

respectable

Find the minimal nucleotide from a range of sequence DNA.

Programming language:
Spoken language:

A DNA sequence can be represented as a string consisting of the letters `A`, `C`, `G` and `T`, which correspond to the types of successive nucleotides in the sequence. Each nucleotide has an *impact factor*, which is an integer. Nucleotides of types `A`, `C`, `G` and `T` have impact factors of 1, 2, 3 and 4, respectively. You are going to answer several queries of the form: What is the minimal impact factor of nucleotides contained in a particular part of the given DNA sequence?

The DNA sequence is given as a non-empty string S = `S[0]S[1]...S[N-1]` consisting of N characters. There are M queries, which are given in non-empty arrays P and Q, each consisting of M integers. The K-th query (0 ≤ K < M) requires you to find the minimal impact factor of nucleotides contained in the DNA sequence between positions P[K] and Q[K] (inclusive).

For example, consider string S = `CAGCCTA` and arrays P, Q such that:

The answers to these M = 3 queries are as follows:

- The part of the DNA between positions 2 and 4 contains nucleotides
GandC(twice), whose impact factors are 3 and 2 respectively, so the answer is 2.- The part between positions 5 and 5 contains a single nucleotide
T, whose impact factor is 4, so the answer is 4.- The part between positions 0 and 6 (the whole string) contains all nucleotides, in particular nucleotide
Awhose impact factor is 1, so the answer is 1.

Assume that the following declarations are given:

struct Results { int * A; int M; // Length of the array };

Write a function:

struct Results solution(char *S, int P[], int Q[], int M);

that, given a non-empty string S consisting of N characters and two non-empty arrays P and Q consisting of M integers, returns an array consisting of M integers specifying the consecutive answers to all queries.

The sequence should be returned as:

- a Results structure (in C), or
- a vector of integers (in C++), or
- a Results record (in Pascal), or
- an array of integers (in any other programming language).

For example, given the string S = `CAGCCTA` and arrays P, Q such that:

the function should return the values [2, 4, 1], as explained above.

Assume that:

- N is an integer within the range [1..100,000];
- M is an integer within the range [1..50,000];
- each element of arrays P, Q is an integer within the range [0..N − 1];
- P[K] ≤ Q[K], where 0 ≤ K < M;
- string S consists only of upper-case English letters
A, C, G, T.

Complexity:

- expected worst-case time complexity is O(N+M);
- expected worst-case space complexity is O(N), beyond input storage (not counting the storage required for input arguments).

Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

A DNA sequence can be represented as a string consisting of the letters `A`, `C`, `G` and `T`, which correspond to the types of successive nucleotides in the sequence. Each nucleotide has an *impact factor*, which is an integer. Nucleotides of types `A`, `C`, `G` and `T` have impact factors of 1, 2, 3 and 4, respectively. You are going to answer several queries of the form: What is the minimal impact factor of nucleotides contained in a particular part of the given DNA sequence?

The DNA sequence is given as a non-empty string S = `S[0]S[1]...S[N-1]` consisting of N characters. There are M queries, which are given in non-empty arrays P and Q, each consisting of M integers. The K-th query (0 ≤ K < M) requires you to find the minimal impact factor of nucleotides contained in the DNA sequence between positions P[K] and Q[K] (inclusive).

For example, consider string S = `CAGCCTA` and arrays P, Q such that:

The answers to these M = 3 queries are as follows:

- The part of the DNA between positions 2 and 4 contains nucleotides
GandC(twice), whose impact factors are 3 and 2 respectively, so the answer is 2.- The part between positions 5 and 5 contains a single nucleotide
T, whose impact factor is 4, so the answer is 4.- The part between positions 0 and 6 (the whole string) contains all nucleotides, in particular nucleotide
Awhose impact factor is 1, so the answer is 1.

Write a function:

vector<int> solution(string &S, vector<int> &P, vector<int> &Q);

that, given a non-empty string S consisting of N characters and two non-empty arrays P and Q consisting of M integers, returns an array consisting of M integers specifying the consecutive answers to all queries.

The sequence should be returned as:

- a Results structure (in C), or
- a vector of integers (in C++), or
- a Results record (in Pascal), or
- an array of integers (in any other programming language).

For example, given the string S = `CAGCCTA` and arrays P, Q such that:

the function should return the values [2, 4, 1], as explained above.

Assume that:

- N is an integer within the range [1..100,000];
- M is an integer within the range [1..50,000];
- each element of arrays P, Q is an integer within the range [0..N − 1];
- P[K] ≤ Q[K], where 0 ≤ K < M;
- string S consists only of upper-case English letters
A, C, G, T.

Complexity:

- expected worst-case time complexity is O(N+M);
- expected worst-case space complexity is O(N), beyond input storage (not counting the storage required for input arguments).

Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

A DNA sequence can be represented as a string consisting of the letters `A`, `C`, `G` and `T`, which correspond to the types of successive nucleotides in the sequence. Each nucleotide has an *impact factor*, which is an integer. Nucleotides of types `A`, `C`, `G` and `T` have impact factors of 1, 2, 3 and 4, respectively. You are going to answer several queries of the form: What is the minimal impact factor of nucleotides contained in a particular part of the given DNA sequence?

The DNA sequence is given as a non-empty string S = `S[0]S[1]...S[N-1]` consisting of N characters. There are M queries, which are given in non-empty arrays P and Q, each consisting of M integers. The K-th query (0 ≤ K < M) requires you to find the minimal impact factor of nucleotides contained in the DNA sequence between positions P[K] and Q[K] (inclusive).

For example, consider string S = `CAGCCTA` and arrays P, Q such that:

The answers to these M = 3 queries are as follows:

- The part of the DNA between positions 2 and 4 contains nucleotides
GandC(twice), whose impact factors are 3 and 2 respectively, so the answer is 2.- The part between positions 5 and 5 contains a single nucleotide
T, whose impact factor is 4, so the answer is 4.- The part between positions 0 and 6 (the whole string) contains all nucleotides, in particular nucleotide
Awhose impact factor is 1, so the answer is 1.

Write a function:

class Solution { public int[] solution(string S, int[] P, int[] Q); }

that, given a non-empty string S consisting of N characters and two non-empty arrays P and Q consisting of M integers, returns an array consisting of M integers specifying the consecutive answers to all queries.

The sequence should be returned as:

- a Results structure (in C), or
- a vector of integers (in C++), or
- a Results record (in Pascal), or
- an array of integers (in any other programming language).

For example, given the string S = `CAGCCTA` and arrays P, Q such that:

the function should return the values [2, 4, 1], as explained above.

Assume that:

- N is an integer within the range [1..100,000];
- M is an integer within the range [1..50,000];
- each element of arrays P, Q is an integer within the range [0..N − 1];
- P[K] ≤ Q[K], where 0 ≤ K < M;
- string S consists only of upper-case English letters
A, C, G, T.

Complexity:

- expected worst-case time complexity is O(N+M);
- expected worst-case space complexity is O(N), beyond input storage (not counting the storage required for input arguments).

Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

`A`, `C`, `G` and `T`, which correspond to the types of successive nucleotides in the sequence. Each nucleotide has an *impact factor*, which is an integer. Nucleotides of types `A`, `C`, `G` and `T` have impact factors of 1, 2, 3 and 4, respectively. You are going to answer several queries of the form: What is the minimal impact factor of nucleotides contained in a particular part of the given DNA sequence?

`S[0]S[1]...S[N-1]` consisting of N characters. There are M queries, which are given in non-empty arrays P and Q, each consisting of M integers. The K-th query (0 ≤ K < M) requires you to find the minimal impact factor of nucleotides contained in the DNA sequence between positions P[K] and Q[K] (inclusive).

For example, consider string S = `CAGCCTA` and arrays P, Q such that:

The answers to these M = 3 queries are as follows:

GandC(twice), whose impact factors are 3 and 2 respectively, so the answer is 2.T, whose impact factor is 4, so the answer is 4.Awhose impact factor is 1, so the answer is 1.

Write a function:

func Solution(S string, P []int, Q []int) []int

The sequence should be returned as:

- a Results structure (in C), or
- a vector of integers (in C++), or
- a Results record (in Pascal), or
- an array of integers (in any other programming language).

For example, given the string S = `CAGCCTA` and arrays P, Q such that:

the function should return the values [2, 4, 1], as explained above.

Assume that:

- N is an integer within the range [1..100,000];
- M is an integer within the range [1..50,000];
- each element of arrays P, Q is an integer within the range [0..N − 1];
- P[K] ≤ Q[K], where 0 ≤ K < M;
- string S consists only of upper-case English letters
A, C, G, T.

Complexity:

- expected worst-case time complexity is O(N+M);

`A`, `C`, `G` and `T`, which correspond to the types of successive nucleotides in the sequence. Each nucleotide has an *impact factor*, which is an integer. Nucleotides of types `A`, `C`, `G` and `T` have impact factors of 1, 2, 3 and 4, respectively. You are going to answer several queries of the form: What is the minimal impact factor of nucleotides contained in a particular part of the given DNA sequence?

`S[0]S[1]...S[N-1]` consisting of N characters. There are M queries, which are given in non-empty arrays P and Q, each consisting of M integers. The K-th query (0 ≤ K < M) requires you to find the minimal impact factor of nucleotides contained in the DNA sequence between positions P[K] and Q[K] (inclusive).

For example, consider string S = `CAGCCTA` and arrays P, Q such that:

The answers to these M = 3 queries are as follows:

GandC(twice), whose impact factors are 3 and 2 respectively, so the answer is 2.T, whose impact factor is 4, so the answer is 4.Awhose impact factor is 1, so the answer is 1.

Write a function:

class Solution { public int[] solution(String S, int[] P, int[] Q); }

The sequence should be returned as:

- a Results structure (in C), or
- a vector of integers (in C++), or
- a Results record (in Pascal), or
- an array of integers (in any other programming language).

For example, given the string S = `CAGCCTA` and arrays P, Q such that:

the function should return the values [2, 4, 1], as explained above.

Assume that:

- N is an integer within the range [1..100,000];
- M is an integer within the range [1..50,000];
- each element of arrays P, Q is an integer within the range [0..N − 1];
- P[K] ≤ Q[K], where 0 ≤ K < M;
- string S consists only of upper-case English letters
A, C, G, T.

Complexity:

- expected worst-case time complexity is O(N+M);

`A`, `C`, `G` and `T`, which correspond to the types of successive nucleotides in the sequence. Each nucleotide has an *impact factor*, which is an integer. Nucleotides of types `A`, `C`, `G` and `T` have impact factors of 1, 2, 3 and 4, respectively. You are going to answer several queries of the form: What is the minimal impact factor of nucleotides contained in a particular part of the given DNA sequence?

`S[0]S[1]...S[N-1]` consisting of N characters. There are M queries, which are given in non-empty arrays P and Q, each consisting of M integers. The K-th query (0 ≤ K < M) requires you to find the minimal impact factor of nucleotides contained in the DNA sequence between positions P[K] and Q[K] (inclusive).

For example, consider string S = `CAGCCTA` and arrays P, Q such that:

The answers to these M = 3 queries are as follows:

GandC(twice), whose impact factors are 3 and 2 respectively, so the answer is 2.T, whose impact factor is 4, so the answer is 4.Awhose impact factor is 1, so the answer is 1.

Write a function:

function solution(S, P, Q);

The sequence should be returned as:

- a Results structure (in C), or
- a vector of integers (in C++), or
- a Results record (in Pascal), or
- an array of integers (in any other programming language).

For example, given the string S = `CAGCCTA` and arrays P, Q such that:

the function should return the values [2, 4, 1], as explained above.

Assume that:

- N is an integer within the range [1..100,000];
- M is an integer within the range [1..50,000];
- each element of arrays P, Q is an integer within the range [0..N − 1];
- P[K] ≤ Q[K], where 0 ≤ K < M;
- string S consists only of upper-case English letters
A, C, G, T.

Complexity:

- expected worst-case time complexity is O(N+M);

`A`, `C`, `G` and `T`, which correspond to the types of successive nucleotides in the sequence. Each nucleotide has an *impact factor*, which is an integer. Nucleotides of types `A`, `C`, `G` and `T` have impact factors of 1, 2, 3 and 4, respectively. You are going to answer several queries of the form: What is the minimal impact factor of nucleotides contained in a particular part of the given DNA sequence?

`S[0]S[1]...S[N-1]` consisting of N characters. There are M queries, which are given in non-empty arrays P and Q, each consisting of M integers. The K-th query (0 ≤ K < M) requires you to find the minimal impact factor of nucleotides contained in the DNA sequence between positions P[K] and Q[K] (inclusive).

For example, consider string S = `CAGCCTA` and arrays P, Q such that:

The answers to these M = 3 queries are as follows:

GandC(twice), whose impact factors are 3 and 2 respectively, so the answer is 2.T, whose impact factor is 4, so the answer is 4.Awhose impact factor is 1, so the answer is 1.

Write a function:

function solution(S, P, Q)

The sequence should be returned as:

- a Results structure (in C), or
- a vector of integers (in C++), or
- a Results record (in Pascal), or
- an array of integers (in any other programming language).

For example, given the string S = `CAGCCTA` and arrays P, Q such that:

the function should return the values [2, 4, 1], as explained above.

Assume that:

- N is an integer within the range [1..100,000];
- M is an integer within the range [1..50,000];
- each element of arrays P, Q is an integer within the range [0..N − 1];
- P[K] ≤ Q[K], where 0 ≤ K < M;
- string S consists only of upper-case English letters
A, C, G, T.

Complexity:

- expected worst-case time complexity is O(N+M);

Note: All arrays in this task are zero-indexed, unlike the common Lua convention. You can use `#A` to get the length of the array A.

`A`, `C`, `G` and `T`, which correspond to the types of successive nucleotides in the sequence. Each nucleotide has an *impact factor*, which is an integer. Nucleotides of types `A`, `C`, `G` and `T` have impact factors of 1, 2, 3 and 4, respectively. You are going to answer several queries of the form: What is the minimal impact factor of nucleotides contained in a particular part of the given DNA sequence?

`S[0]S[1]...S[N-1]` consisting of N characters. There are M queries, which are given in non-empty arrays P and Q, each consisting of M integers. The K-th query (0 ≤ K < M) requires you to find the minimal impact factor of nucleotides contained in the DNA sequence between positions P[K] and Q[K] (inclusive).

For example, consider string S = `CAGCCTA` and arrays P, Q such that:

The answers to these M = 3 queries are as follows:

GandC(twice), whose impact factors are 3 and 2 respectively, so the answer is 2.T, whose impact factor is 4, so the answer is 4.Awhose impact factor is 1, so the answer is 1.

Write a function:

NSMutableArray * solution(NSString *S, NSMutableArray *P, NSMutableArray *Q);

The sequence should be returned as:

- a Results structure (in C), or
- a vector of integers (in C++), or
- a Results record (in Pascal), or
- an array of integers (in any other programming language).

For example, given the string S = `CAGCCTA` and arrays P, Q such that:

the function should return the values [2, 4, 1], as explained above.

Assume that:

- N is an integer within the range [1..100,000];
- M is an integer within the range [1..50,000];
- each element of arrays P, Q is an integer within the range [0..N − 1];
- P[K] ≤ Q[K], where 0 ≤ K < M;
- string S consists only of upper-case English letters
A, C, G, T.

Complexity:

- expected worst-case time complexity is O(N+M);

`A`, `C`, `G` and `T`, which correspond to the types of successive nucleotides in the sequence. Each nucleotide has an *impact factor*, which is an integer. Nucleotides of types `A`, `C`, `G` and `T` have impact factors of 1, 2, 3 and 4, respectively. You are going to answer several queries of the form: What is the minimal impact factor of nucleotides contained in a particular part of the given DNA sequence?

`S[0]S[1]...S[N-1]` consisting of N characters. There are M queries, which are given in non-empty arrays P and Q, each consisting of M integers. The K-th query (0 ≤ K < M) requires you to find the minimal impact factor of nucleotides contained in the DNA sequence between positions P[K] and Q[K] (inclusive).

For example, consider string S = `CAGCCTA` and arrays P, Q such that:

The answers to these M = 3 queries are as follows:

GandC(twice), whose impact factors are 3 and 2 respectively, so the answer is 2.T, whose impact factor is 4, so the answer is 4.Awhose impact factor is 1, so the answer is 1.

Assume that the following declarations are given:

Results = record A : array of longint; M : longint; {Length of the array} end;

Write a function:

function solution(S: PChar; P: array of longint; Q: array of longint; M: longint): Results;

The sequence should be returned as:

- a Results structure (in C), or
- a vector of integers (in C++), or
- a Results record (in Pascal), or
- an array of integers (in any other programming language).

For example, given the string S = `CAGCCTA` and arrays P, Q such that:

the function should return the values [2, 4, 1], as explained above.

Assume that:

- N is an integer within the range [1..100,000];
- M is an integer within the range [1..50,000];
- each element of arrays P, Q is an integer within the range [0..N − 1];
- P[K] ≤ Q[K], where 0 ≤ K < M;
- string S consists only of upper-case English letters
A, C, G, T.

Complexity:

- expected worst-case time complexity is O(N+M);

`A`, `C`, `G` and `T`, which correspond to the types of successive nucleotides in the sequence. Each nucleotide has an *impact factor*, which is an integer. Nucleotides of types `A`, `C`, `G` and `T` have impact factors of 1, 2, 3 and 4, respectively. You are going to answer several queries of the form: What is the minimal impact factor of nucleotides contained in a particular part of the given DNA sequence?

`S[0]S[1]...S[N-1]` consisting of N characters. There are M queries, which are given in non-empty arrays P and Q, each consisting of M integers. The K-th query (0 ≤ K < M) requires you to find the minimal impact factor of nucleotides contained in the DNA sequence between positions P[K] and Q[K] (inclusive).

For example, consider string S = `CAGCCTA` and arrays P, Q such that:

The answers to these M = 3 queries are as follows:

GandC(twice), whose impact factors are 3 and 2 respectively, so the answer is 2.T, whose impact factor is 4, so the answer is 4.Awhose impact factor is 1, so the answer is 1.

Write a function:

function solution($S, $P, $Q);

The sequence should be returned as:

- a Results structure (in C), or
- a vector of integers (in C++), or
- a Results record (in Pascal), or
- an array of integers (in any other programming language).

For example, given the string S = `CAGCCTA` and arrays P, Q such that:

the function should return the values [2, 4, 1], as explained above.

Assume that:

- N is an integer within the range [1..100,000];
- M is an integer within the range [1..50,000];
- each element of arrays P, Q is an integer within the range [0..N − 1];
- P[K] ≤ Q[K], where 0 ≤ K < M;
- string S consists only of upper-case English letters
A, C, G, T.

Complexity:

- expected worst-case time complexity is O(N+M);

`A`, `C`, `G` and `T`, which correspond to the types of successive nucleotides in the sequence. Each nucleotide has an *impact factor*, which is an integer. Nucleotides of types `A`, `C`, `G` and `T` have impact factors of 1, 2, 3 and 4, respectively. You are going to answer several queries of the form: What is the minimal impact factor of nucleotides contained in a particular part of the given DNA sequence?

`S[0]S[1]...S[N-1]` consisting of N characters. There are M queries, which are given in non-empty arrays P and Q, each consisting of M integers. The K-th query (0 ≤ K < M) requires you to find the minimal impact factor of nucleotides contained in the DNA sequence between positions P[K] and Q[K] (inclusive).

For example, consider string S = `CAGCCTA` and arrays P, Q such that:

The answers to these M = 3 queries are as follows:

GandC(twice), whose impact factors are 3 and 2 respectively, so the answer is 2.T, whose impact factor is 4, so the answer is 4.Awhose impact factor is 1, so the answer is 1.

Write a function:

sub solution { my ($S, $P, $Q)=@_; my @P=@$P; my @Q=@$Q; ... }

The sequence should be returned as:

- a Results structure (in C), or
- a vector of integers (in C++), or
- a Results record (in Pascal), or
- an array of integers (in any other programming language).

For example, given the string S = `CAGCCTA` and arrays P, Q such that:

the function should return the values [2, 4, 1], as explained above.

Assume that:

- N is an integer within the range [1..100,000];
- M is an integer within the range [1..50,000];
- each element of arrays P, Q is an integer within the range [0..N − 1];
- P[K] ≤ Q[K], where 0 ≤ K < M;
- string S consists only of upper-case English letters
A, C, G, T.

Complexity:

- expected worst-case time complexity is O(N+M);

`A`, `C`, `G` and `T`, which correspond to the types of successive nucleotides in the sequence. Each nucleotide has an *impact factor*, which is an integer. Nucleotides of types `A`, `C`, `G` and `T` have impact factors of 1, 2, 3 and 4, respectively. You are going to answer several queries of the form: What is the minimal impact factor of nucleotides contained in a particular part of the given DNA sequence?

`S[0]S[1]...S[N-1]` consisting of N characters. There are M queries, which are given in non-empty arrays P and Q, each consisting of M integers. The K-th query (0 ≤ K < M) requires you to find the minimal impact factor of nucleotides contained in the DNA sequence between positions P[K] and Q[K] (inclusive).

For example, consider string S = `CAGCCTA` and arrays P, Q such that:

The answers to these M = 3 queries are as follows:

GandC(twice), whose impact factors are 3 and 2 respectively, so the answer is 2.T, whose impact factor is 4, so the answer is 4.Awhose impact factor is 1, so the answer is 1.

Write a function:

def solution(S, P, Q)

The sequence should be returned as:

- a Results structure (in C), or
- a vector of integers (in C++), or
- a Results record (in Pascal), or
- an array of integers (in any other programming language).

For example, given the string S = `CAGCCTA` and arrays P, Q such that:

the function should return the values [2, 4, 1], as explained above.

Assume that:

- N is an integer within the range [1..100,000];
- M is an integer within the range [1..50,000];
- each element of arrays P, Q is an integer within the range [0..N − 1];
- P[K] ≤ Q[K], where 0 ≤ K < M;
- string S consists only of upper-case English letters
A, C, G, T.

Complexity:

- expected worst-case time complexity is O(N+M);

`A`, `C`, `G` and `T`, which correspond to the types of successive nucleotides in the sequence. Each nucleotide has an *impact factor*, which is an integer. Nucleotides of types `A`, `C`, `G` and `T` have impact factors of 1, 2, 3 and 4, respectively. You are going to answer several queries of the form: What is the minimal impact factor of nucleotides contained in a particular part of the given DNA sequence?

`S[0]S[1]...S[N-1]` consisting of N characters. There are M queries, which are given in non-empty arrays P and Q, each consisting of M integers. The K-th query (0 ≤ K < M) requires you to find the minimal impact factor of nucleotides contained in the DNA sequence between positions P[K] and Q[K] (inclusive).

For example, consider string S = `CAGCCTA` and arrays P, Q such that:

The answers to these M = 3 queries are as follows:

GandC(twice), whose impact factors are 3 and 2 respectively, so the answer is 2.T, whose impact factor is 4, so the answer is 4.Awhose impact factor is 1, so the answer is 1.

Write a function:

def solution(s, p, q)

The sequence should be returned as:

- a Results structure (in C), or
- a vector of integers (in C++), or
- a Results record (in Pascal), or
- an array of integers (in any other programming language).

For example, given the string S = `CAGCCTA` and arrays P, Q such that:

the function should return the values [2, 4, 1], as explained above.

Assume that:

- N is an integer within the range [1..100,000];
- M is an integer within the range [1..50,000];
- each element of arrays P, Q is an integer within the range [0..N − 1];
- P[K] ≤ Q[K], where 0 ≤ K < M;
- string S consists only of upper-case English letters
A, C, G, T.

Complexity:

- expected worst-case time complexity is O(N+M);

`A`, `C`, `G` and `T`, which correspond to the types of successive nucleotides in the sequence. Each nucleotide has an *impact factor*, which is an integer. Nucleotides of types `A`, `C`, `G` and `T` have impact factors of 1, 2, 3 and 4, respectively. You are going to answer several queries of the form: What is the minimal impact factor of nucleotides contained in a particular part of the given DNA sequence?

`S[0]S[1]...S[N-1]` consisting of N characters. There are M queries, which are given in non-empty arrays P and Q, each consisting of M integers. The K-th query (0 ≤ K < M) requires you to find the minimal impact factor of nucleotides contained in the DNA sequence between positions P[K] and Q[K] (inclusive).

For example, consider string S = `CAGCCTA` and arrays P, Q such that:

The answers to these M = 3 queries are as follows:

GandC(twice), whose impact factors are 3 and 2 respectively, so the answer is 2.T, whose impact factor is 4, so the answer is 4.Awhose impact factor is 1, so the answer is 1.

Write a function:

object Solution { def solution(s: String, p: Array[Int], q: Array[Int]): Array[Int] }

The sequence should be returned as:

- a Results structure (in C), or
- a vector of integers (in C++), or
- a Results record (in Pascal), or
- an array of integers (in any other programming language).

For example, given the string S = `CAGCCTA` and arrays P, Q such that:

the function should return the values [2, 4, 1], as explained above.

Assume that:

- N is an integer within the range [1..100,000];
- M is an integer within the range [1..50,000];
- each element of arrays P, Q is an integer within the range [0..N − 1];
- P[K] ≤ Q[K], where 0 ≤ K < M;
- string S consists only of upper-case English letters
A, C, G, T.

Complexity:

- expected worst-case time complexity is O(N+M);

`A`, `C`, `G` and `T`, which correspond to the types of successive nucleotides in the sequence. Each nucleotide has an *impact factor*, which is an integer. Nucleotides of types `A`, `C`, `G` and `T` have impact factors of 1, 2, 3 and 4, respectively. You are going to answer several queries of the form: What is the minimal impact factor of nucleotides contained in a particular part of the given DNA sequence?

`S[0]S[1]...S[N-1]` consisting of N characters. There are M queries, which are given in non-empty arrays P and Q, each consisting of M integers. The K-th query (0 ≤ K < M) requires you to find the minimal impact factor of nucleotides contained in the DNA sequence between positions P[K] and Q[K] (inclusive).

For example, consider string S = `CAGCCTA` and arrays P, Q such that:

The answers to these M = 3 queries are as follows:

GandC(twice), whose impact factors are 3 and 2 respectively, so the answer is 2.T, whose impact factor is 4, so the answer is 4.Awhose impact factor is 1, so the answer is 1.

Write a function:

public func solution(inout S : String, inout _ P : [Int], inout _ Q : [Int]) -> [Int]

The sequence should be returned as:

- a Results structure (in C), or
- a vector of integers (in C++), or
- a Results record (in Pascal), or
- an array of integers (in any other programming language).

For example, given the string S = `CAGCCTA` and arrays P, Q such that:

the function should return the values [2, 4, 1], as explained above.

Assume that:

- N is an integer within the range [1..100,000];
- M is an integer within the range [1..50,000];
- each element of arrays P, Q is an integer within the range [0..N − 1];
- P[K] ≤ Q[K], where 0 ≤ K < M;
- string S consists only of upper-case English letters
A, C, G, T.

Complexity:

- expected worst-case time complexity is O(N+M);

`A`, `C`, `G` and `T`, which correspond to the types of successive nucleotides in the sequence. Each nucleotide has an *impact factor*, which is an integer. Nucleotides of types `A`, `C`, `G` and `T` have impact factors of 1, 2, 3 and 4, respectively. You are going to answer several queries of the form: What is the minimal impact factor of nucleotides contained in a particular part of the given DNA sequence?

`S[0]S[1]...S[N-1]` consisting of N characters. There are M queries, which are given in non-empty arrays P and Q, each consisting of M integers. The K-th query (0 ≤ K < M) requires you to find the minimal impact factor of nucleotides contained in the DNA sequence between positions P[K] and Q[K] (inclusive).

For example, consider string S = `CAGCCTA` and arrays P, Q such that:

The answers to these M = 3 queries are as follows:

GandC(twice), whose impact factors are 3 and 2 respectively, so the answer is 2.T, whose impact factor is 4, so the answer is 4.Awhose impact factor is 1, so the answer is 1.

Write a function:

public func solution(_ S : inout String, _ P : inout [Int], _ Q : inout [Int]) -> [Int]

The sequence should be returned as:

- a Results structure (in C), or
- a vector of integers (in C++), or
- a Results record (in Pascal), or
- an array of integers (in any other programming language).

For example, given the string S = `CAGCCTA` and arrays P, Q such that:

the function should return the values [2, 4, 1], as explained above.

Assume that:

- N is an integer within the range [1..100,000];
- M is an integer within the range [1..50,000];
- each element of arrays P, Q is an integer within the range [0..N − 1];
- P[K] ≤ Q[K], where 0 ≤ K < M;
- string S consists only of upper-case English letters
A, C, G, T.

Complexity:

- expected worst-case time complexity is O(N+M);

`A`, `C`, `G` and `T`, which correspond to the types of successive nucleotides in the sequence. Each nucleotide has an *impact factor*, which is an integer. Nucleotides of types `A`, `C`, `G` and `T` have impact factors of 1, 2, 3 and 4, respectively. You are going to answer several queries of the form: What is the minimal impact factor of nucleotides contained in a particular part of the given DNA sequence?

`S[0]S[1]...S[N-1]` consisting of N characters. There are M queries, which are given in non-empty arrays P and Q, each consisting of M integers. The K-th query (0 ≤ K < M) requires you to find the minimal impact factor of nucleotides contained in the DNA sequence between positions P[K] and Q[K] (inclusive).

For example, consider string S = `CAGCCTA` and arrays P, Q such that:

The answers to these M = 3 queries are as follows:

GandC(twice), whose impact factors are 3 and 2 respectively, so the answer is 2.T, whose impact factor is 4, so the answer is 4.Awhose impact factor is 1, so the answer is 1.

Write a function:

Private Function solution(S As String, P As Integer(), Q As Integer()) As Integer()

The sequence should be returned as:

- a Results structure (in C), or
- a vector of integers (in C++), or
- a Results record (in Pascal), or
- an array of integers (in any other programming language).

For example, given the string S = `CAGCCTA` and arrays P, Q such that:

the function should return the values [2, 4, 1], as explained above.

Assume that:

- N is an integer within the range [1..100,000];
- M is an integer within the range [1..50,000];
- each element of arrays P, Q is an integer within the range [0..N − 1];
- P[K] ≤ Q[K], where 0 ≤ K < M;
- string S consists only of upper-case English letters
A, C, G, T.

Complexity:

- expected worst-case time complexity is O(N+M);

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