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AVAILABLE LESSONS:

Lesson 1

Iterations

Lesson 2

Arrays

Lesson 3

Time Complexity

Lesson 4

Counting Elements

Lesson 5

Prefix Sums

Lesson 6

Sorting

Lesson 7

Stacks and Queues

Lesson 8

Leader

Lesson 9

Maximum slice problem

Lesson 10

Prime and composite numbers

Lesson 11

Sieve of Eratosthenes

Lesson 12

Euclidean algorithm

Lesson 13

Fibonacci numbers

Lesson 14

Binary search algorithm

Lesson 15

Caterpillar method

Lesson 16

Greedy algorithms

Lesson 17

Dynamic programming

Count the number of distinct slices (containing only unique numbers).

Spoken language:

An integer M and a non-empty array A consisting of N non-negative integers are given. All integers in array A are less than or equal to M.

A pair of integers (P, Q), such that 0 ≤ P ≤ Q < N, is called a *slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

There are exactly nine distinct slices: (0, 0), (0, 1), (0, 2), (1, 1), (1, 2), (2, 2), (3, 3), (3, 4) and (4, 4).

The goal is to calculate the number of distinct slices.

Write a function:

int solution(int M, int A[], int N);

that, given an integer M and a non-empty array A consisting of N integers, returns the number of distinct slices.

If the number of distinct slices is greater than 1,000,000,000, the function should return 1,000,000,000.

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

Copyright 2009–2023 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

An integer M and a non-empty array A consisting of N non-negative integers are given. All integers in array A are less than or equal to M.

A pair of integers (P, Q), such that 0 ≤ P ≤ Q < N, is called a *slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

There are exactly nine distinct slices: (0, 0), (0, 1), (0, 2), (1, 1), (1, 2), (2, 2), (3, 3), (3, 4) and (4, 4).

The goal is to calculate the number of distinct slices.

Write a function:

int solution(int M, vector<int> &A);

that, given an integer M and a non-empty array A consisting of N integers, returns the number of distinct slices.

If the number of distinct slices is greater than 1,000,000,000, the function should return 1,000,000,000.

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

Copyright 2009–2023 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

An integer M and a non-empty array A consisting of N non-negative integers are given. All integers in array A are less than or equal to M.

A pair of integers (P, Q), such that 0 ≤ P ≤ Q < N, is called a *slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

There are exactly nine distinct slices: (0, 0), (0, 1), (0, 2), (1, 1), (1, 2), (2, 2), (3, 3), (3, 4) and (4, 4).

The goal is to calculate the number of distinct slices.

Write a function:

int solution(int M, vector<int> &A);

that, given an integer M and a non-empty array A consisting of N integers, returns the number of distinct slices.

If the number of distinct slices is greater than 1,000,000,000, the function should return 1,000,000,000.

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

Copyright 2009–2023 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

class Solution { public int solution(int M, int[] A); }

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

int solution(int M, List<int> A);

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

func Solution(M int, A []int) int

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

class Solution { public int solution(int M, int[] A); }

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

class Solution { public int solution(int M, int[] A); }

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

function solution(M, A);

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

fun solution(M: Int, A: IntArray): Int

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

function solution(M, A)

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..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.

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

int solution(int M, NSMutableArray *A);

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

function solution(M: longint; A: array of longint; N: longint): longint;

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

function solution($M, $A);

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

sub solution { my ($M, @A) = @_; ... }

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

def solution(M, A)

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

def solution(m, a)

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

object Solution { def solution(m: Int, a: Array[Int]): Int }

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

public func solution(_ M : Int, _ A : inout [Int]) -> Int

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

public func solution(_ M : Int, _ A : inout [Int]) -> Int

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

function solution(M: number, A: number[]): number;

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].

*slice* of array A. The slice consists of the elements A[P], A[P + 1], ..., A[Q]. A *distinct slice* is a slice consisting of only unique numbers. That is, no individual number occurs more than once in the slice.

For example, consider integer M = 6 and array A such that:

The goal is to calculate the number of distinct slices.

Write a function:

Private Function solution(M As Integer, A As Integer()) As Integer

For example, given integer M = 6 and array A such that:

the function should return 9, as explained above.

Write an ** efficient** algorithm for the following assumptions:

- N is an integer within the range [1..100,000];
- M is an integer within the range [0..100,000];
- each element of array A is an integer within the range [0..M].