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:

Fast & Curious

PAST CHALLENGES

The Fellowship of the Code

May the 4th Challenge

The Great Code Off 2021

The Doge 2021

The Matrix 2021

The OLX Group challenge

Silver 2020

Palladium 2020

Rhodium 2019

Ruthenium 2019

Technetium 2019

Molybdenum 2019

Niobium 2019

Zirconium 2019

Yttrium 2019

Strontium 2019

Rubidium 2018

Arsenicum 2018

Krypton 2018

Bromum 2018

Future Mobility

Grand Challenge

Digital Gold

Selenium 2018

Germanium 2018

Gallium 2018

Zinc 2018

Cuprum 2018

Cutting Complexity

Nickel 2018

Cobaltum 2018

Ferrum 2018

Manganum 2017

Chromium 2017

Vanadium 2016

Titanium 2016

Scandium 2016

Calcium 2015

Kalium 2015

Argon 2015

Chlorum 2014

Sulphur 2014

Phosphorus 2014

Silicium 2014

Aluminium 2014

Magnesium 2014

Natrium 2014

Neon 2014

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

Beta 2010

Alpha 2010

Given two slices of sorted arrays, find the median. Repeat for many such slices, return the median of the results.

The *median* of a sequence of numbers X[0], X[1], ..., X[N] is the middle element in terms of their values. More formally, the median of X[0], X[1], ..., X[N] is an element X[I] of the sequence, such that at most half of the elements are larger than X[I] and at most half of the elements are smaller than X[I]. For example, the median of the following sequence:

is 5; the median of the following sequence:

is 2; and the following sequence:

has two medians: 4 and 5.

Note that sequences of odd length have only one median, which is equal to X[N/2] after sorting X. In this problem we consider medians of sequences of odd length only.

Write a function:

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

that, given:

- two non-empty arrays, A (consisting of N integers) and B (consisting of M integers), both sorted in ascending order

- two arrays P and Q, each consisting of K indices of array A, such that 0 ≤ P[I] ≤ Q[I] < N for 0 ≤ I < K

- two arrays R and S, each consisting of K indices of array B, such that 0 ≤ R[I] ≤ S[I] < M for 0 ≤ I < K

computes medians of K sequences of the form:

for 0 ≤ I < K, and returns the median of all such medians.

For example, given the following arrays:

the function should return 8, since:

- the median of [10, 13, 5, 6, 8, 12, 13] equals 10,
- the median of [4, 10, 5] equals 5,
- the median of [−2, 4, 10, 13, 6, 8, 12] equals 8, and
- the median of [10, 5, 8] equals 8.

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

- N and M are integers within the range [1..100,000];
- K is an integer within the range [1..10,000];
- each element of arrays A, B is an integer within the range [−1,000,000,000..1,000,000,000];
- array A is sorted in non-decreasing order;
- array B is sorted in non-decreasing order;
- each element of arrays P, Q is an integer within the range [0..N−1];
- each element of arrays R, S is an integer within the range [0..M−1];
- P[i] ≤ Q[i] and R[i] ≤ S[i] for 0 ≤ i < K;
- K is odd and so is Q[i]−P[i]+R[i]−S[i] for 0 ≤ i < K.

Copyright 2009–2021 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.