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AVAILABLE LESSONS:

Lesson 1

Iterations

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Arrays

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Time Complexity

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Counting Elements

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Prefix Sums

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Sorting

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Stacks and Queues

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Leader

Lesson 9

Maximum slice problem

Lesson 10

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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Greedy algorithms

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Dynamic programming

Lesson 90

Tasks from Indeed Prime 2015 challenge

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Lesson 99

Future training

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

Programming language:
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 2009–2020 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 2009–2020 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:

class Solution { public int solution(int M, 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 2009–2020 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:

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:

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].

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