Your browser (Unknown 0) is no longer supported. Some parts of the website may not work correctly. Please update your browser.

UPCOMING CHALLENGES:

CURRENT CHALLENGES:

Neon 2014

PAST CHALLENGES

Fluorum 2014

Oxygenium 2014

Nitrogenium 2013

Carbo 2013

Boron 2013

Beryllium 2013

Lithium 2013

Helium 2013

Hydrogenium 2013

Omega 2013

Psi 2012

Chi 2012

Phi 2012

Upsilon 2012

Tau 2012

Sigma 2012

Rho 2012

Pi 2012

Omicron 2012

Xi 2012

Nu 2011

Mu 2011

Lambda 2011

Kappa 2011

Iota 2011

Theta 2011

Eta 2011

Zeta 2011

Epsilon 2011

Delta 2011

Gamma 2011

December 2010

PrefixSet edition (2010-10)

Calculate the number of slices in which (maximum - minimum <= K).

An integer K and a non-empty array A consisting of N integers are given.

A pair of integers (P, Q), such that 0 ≤ P ≤ Q < N, is called a *slice* of array A.

A *bounded slice* is a slice in which the difference between the maximum and minimum values in the slice is less than or equal to K. More precisely it is a slice, such that max(A[P], A[P + 1], ..., A[Q]) − min(A[P], A[P + 1], ..., A[Q]) ≤ K.

The goal is to calculate the number of bounded slices.

For example, consider K = 2 and array A such that:

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

Write a function:

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

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

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

For example, given:

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

Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.