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:

Krypton 2018

PAST CHALLENGES

Bromum 2018

Future Mobility

Grand Challenge

Decoding Master

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

ambitious

Plan trips to destination cities so as to visit a maximal number of other unvisited cities en route.

Programming language:
Spoken language:

A country network consisting of N cities and N − 1 roads connecting them is given. Cities are labeled with distinct integers within the range [0..(N − 1)]. Roads connect cities in such a way that each distinct pair of cities is connected either by a direct road or through a path consisting of direct roads. There is exactly one way to reach any city from any other city.

Starting out from city K, you have to plan a series of daily trips. Each day you want to visit a previously unvisited city in such a way that, on a route to that city, you will also pass through a maximal number of other unvisited cities (which will then be considered to have been visited). We say that the destination city is our daily travel target.

In the case of a tie, you should choose the city with the minimal label. The trips cease when every city has been visited at least once.

For example, consider K = 2 and the following network consisting of seven cities and six roads:

You start in city 2. From here you make the following trips:

- day 1 − from city 2 to city 0 (cities 1 and 0 become visited),
- day 2 − from city 0 to city 6 (cities 4 and 6 become visited),
- day 3 − from city 6 to city 3 (city 3 becomes visited),
- day 4 − from city 3 to city 5 (city 5 becomes visited).

The goal is to find the sequence of travel targets. In the above example we have the following travel targets: (2, 0, 6, 3, 5).

Assume that the following declarations are given:

struct Results { int * D; int X; // Length of the array };

Write a function:

struct Results solution(int K, int T[], int N);

that, given a non-empty array T consisting of N integers describing a network of N cities and N − 1 roads, returns the sequence of travel targets.

Array T describes a network of cities as follows:

- if T[P] = Q and P ≠ Q, then there is a direct road between cities P and Q.

For example, given the following array T consisting of seven elements (this array describes the network shown above) and K = 2:

the function should return a sequence [2, 0, 6, 3, 5], as explained above.

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

- N is an integer within the range [1..90,000];
- each element of array T is an integer within the range [0..(N−1)];
- there is exactly one (possibly indirect) connection between any two distinct roads.

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

A country network consisting of N cities and N − 1 roads connecting them is given. Cities are labeled with distinct integers within the range [0..(N − 1)]. Roads connect cities in such a way that each distinct pair of cities is connected either by a direct road or through a path consisting of direct roads. There is exactly one way to reach any city from any other city.

Starting out from city K, you have to plan a series of daily trips. Each day you want to visit a previously unvisited city in such a way that, on a route to that city, you will also pass through a maximal number of other unvisited cities (which will then be considered to have been visited). We say that the destination city is our daily travel target.

In the case of a tie, you should choose the city with the minimal label. The trips cease when every city has been visited at least once.

For example, consider K = 2 and the following network consisting of seven cities and six roads:

You start in city 2. From here you make the following trips:

- day 1 − from city 2 to city 0 (cities 1 and 0 become visited),
- day 2 − from city 0 to city 6 (cities 4 and 6 become visited),
- day 3 − from city 6 to city 3 (city 3 becomes visited),
- day 4 − from city 3 to city 5 (city 5 becomes visited).

The goal is to find the sequence of travel targets. In the above example we have the following travel targets: (2, 0, 6, 3, 5).

Write a function:

vector<int> solution(int K, vector<int> &T);

that, given a non-empty array T consisting of N integers describing a network of N cities and N − 1 roads, returns the sequence of travel targets.

Array T describes a network of cities as follows:

- if T[P] = Q and P ≠ Q, then there is a direct road between cities P and Q.

For example, given the following array T consisting of seven elements (this array describes the network shown above) and K = 2:

the function should return a sequence [2, 0, 6, 3, 5], as explained above.

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

- N is an integer within the range [1..90,000];
- each element of array T is an integer within the range [0..(N−1)];
- there is exactly one (possibly indirect) connection between any two distinct roads.

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

A country network consisting of N cities and N − 1 roads connecting them is given. Cities are labeled with distinct integers within the range [0..(N − 1)]. Roads connect cities in such a way that each distinct pair of cities is connected either by a direct road or through a path consisting of direct roads. There is exactly one way to reach any city from any other city.

Starting out from city K, you have to plan a series of daily trips. Each day you want to visit a previously unvisited city in such a way that, on a route to that city, you will also pass through a maximal number of other unvisited cities (which will then be considered to have been visited). We say that the destination city is our daily travel target.

In the case of a tie, you should choose the city with the minimal label. The trips cease when every city has been visited at least once.

For example, consider K = 2 and the following network consisting of seven cities and six roads:

You start in city 2. From here you make the following trips:

- day 1 − from city 2 to city 0 (cities 1 and 0 become visited),
- day 2 − from city 0 to city 6 (cities 4 and 6 become visited),
- day 3 − from city 6 to city 3 (city 3 becomes visited),
- day 4 − from city 3 to city 5 (city 5 becomes visited).

The goal is to find the sequence of travel targets. In the above example we have the following travel targets: (2, 0, 6, 3, 5).

Write a function:

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

that, given a non-empty array T consisting of N integers describing a network of N cities and N − 1 roads, returns the sequence of travel targets.

Array T describes a network of cities as follows:

- if T[P] = Q and P ≠ Q, then there is a direct road between cities P and Q.

For example, given the following array T consisting of seven elements (this array describes the network shown above) and K = 2:

the function should return a sequence [2, 0, 6, 3, 5], as explained above.

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

- N is an integer within the range [1..90,000];
- each element of array T is an integer within the range [0..(N−1)];
- there is exactly one (possibly indirect) connection between any two distinct roads.

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

For example, consider K = 2 and the following network consisting of seven cities and six roads:

You start in city 2. From here you make the following trips:

- day 1 − from city 2 to city 0 (cities 1 and 0 become visited),
- day 2 − from city 0 to city 6 (cities 4 and 6 become visited),
- day 3 − from city 6 to city 3 (city 3 becomes visited),
- day 4 − from city 3 to city 5 (city 5 becomes visited).

Write a function:

func Solution(K int, T []int) []int

Array T describes a network of cities as follows:

- if T[P] = Q and P ≠ Q, then there is a direct road between cities P and Q.

the function should return a sequence [2, 0, 6, 3, 5], as explained above.

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

- N is an integer within the range [1..90,000];
- each element of array T is an integer within the range [0..(N−1)];
- there is exactly one (possibly indirect) connection between any two distinct roads.

For example, consider K = 2 and the following network consisting of seven cities and six roads:

You start in city 2. From here you make the following trips:

- day 1 − from city 2 to city 0 (cities 1 and 0 become visited),
- day 2 − from city 0 to city 6 (cities 4 and 6 become visited),
- day 3 − from city 6 to city 3 (city 3 becomes visited),
- day 4 − from city 3 to city 5 (city 5 becomes visited).

Write a function:

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

Array T describes a network of cities as follows:

- if T[P] = Q and P ≠ Q, then there is a direct road between cities P and Q.

the function should return a sequence [2, 0, 6, 3, 5], as explained above.

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

- N is an integer within the range [1..90,000];
- each element of array T is an integer within the range [0..(N−1)];
- there is exactly one (possibly indirect) connection between any two distinct roads.

For example, consider K = 2 and the following network consisting of seven cities and six roads:

You start in city 2. From here you make the following trips:

- day 1 − from city 2 to city 0 (cities 1 and 0 become visited),
- day 2 − from city 0 to city 6 (cities 4 and 6 become visited),
- day 3 − from city 6 to city 3 (city 3 becomes visited),
- day 4 − from city 3 to city 5 (city 5 becomes visited).

Write a function:

function solution(K, T);

Array T describes a network of cities as follows:

- if T[P] = Q and P ≠ Q, then there is a direct road between cities P and Q.

the function should return a sequence [2, 0, 6, 3, 5], as explained above.

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

- N is an integer within the range [1..90,000];
- each element of array T is an integer within the range [0..(N−1)];
- there is exactly one (possibly indirect) connection between any two distinct roads.

For example, consider K = 2 and the following network consisting of seven cities and six roads:

You start in city 2. From here you make the following trips:

- day 1 − from city 2 to city 0 (cities 1 and 0 become visited),
- day 2 − from city 0 to city 6 (cities 4 and 6 become visited),
- day 3 − from city 6 to city 3 (city 3 becomes visited),
- day 4 − from city 3 to city 5 (city 5 becomes visited).

Write a function:

function solution(K, T)

Array T describes a network of cities as follows:

- if T[P] = Q and P ≠ Q, then there is a direct road between cities P and Q.

the function should return a sequence [2, 0, 6, 3, 5], as explained above.

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

- N is an integer within the range [1..90,000];
- each element of array T is an integer within the range [0..(N−1)];
- there is exactly one (possibly indirect) connection between any two distinct roads.

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.

For example, consider K = 2 and the following network consisting of seven cities and six roads:

You start in city 2. From here you make the following trips:

- day 1 − from city 2 to city 0 (cities 1 and 0 become visited),
- day 2 − from city 0 to city 6 (cities 4 and 6 become visited),
- day 3 − from city 6 to city 3 (city 3 becomes visited),
- day 4 − from city 3 to city 5 (city 5 becomes visited).

Write a function:

NSMutableArray * solution(int K, NSMutableArray *T);

Array T describes a network of cities as follows:

- if T[P] = Q and P ≠ Q, then there is a direct road between cities P and Q.

the function should return a sequence [2, 0, 6, 3, 5], as explained above.

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

- N is an integer within the range [1..90,000];
- each element of array T is an integer within the range [0..(N−1)];
- there is exactly one (possibly indirect) connection between any two distinct roads.

For example, consider K = 2 and the following network consisting of seven cities and six roads:

You start in city 2. From here you make the following trips:

- day 1 − from city 2 to city 0 (cities 1 and 0 become visited),
- day 2 − from city 0 to city 6 (cities 4 and 6 become visited),
- day 3 − from city 6 to city 3 (city 3 becomes visited),
- day 4 − from city 3 to city 5 (city 5 becomes visited).

Assume that the following declarations are given:

Results = record D : array of longint; X : longint; {Length of the array} end;

Write a function:

function solution(K: longint; T: array of longint; N: longint): Results;

Array T describes a network of cities as follows:

- if T[P] = Q and P ≠ Q, then there is a direct road between cities P and Q.

the function should return a sequence [2, 0, 6, 3, 5], as explained above.

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

- N is an integer within the range [1..90,000];
- each element of array T is an integer within the range [0..(N−1)];
- there is exactly one (possibly indirect) connection between any two distinct roads.

For example, consider K = 2 and the following network consisting of seven cities and six roads:

You start in city 2. From here you make the following trips:

- day 1 − from city 2 to city 0 (cities 1 and 0 become visited),
- day 2 − from city 0 to city 6 (cities 4 and 6 become visited),
- day 3 − from city 6 to city 3 (city 3 becomes visited),
- day 4 − from city 3 to city 5 (city 5 becomes visited).

Write a function:

function solution($K, $T);

Array T describes a network of cities as follows:

- if T[P] = Q and P ≠ Q, then there is a direct road between cities P and Q.

the function should return a sequence [2, 0, 6, 3, 5], as explained above.

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

- N is an integer within the range [1..90,000];
- each element of array T is an integer within the range [0..(N−1)];
- there is exactly one (possibly indirect) connection between any two distinct roads.

For example, consider K = 2 and the following network consisting of seven cities and six roads:

You start in city 2. From here you make the following trips:

- day 1 − from city 2 to city 0 (cities 1 and 0 become visited),
- day 2 − from city 0 to city 6 (cities 4 and 6 become visited),
- day 3 − from city 6 to city 3 (city 3 becomes visited),
- day 4 − from city 3 to city 5 (city 5 becomes visited).

Write a function:

sub solution { my ($K, @T)=@_; ... }

Array T describes a network of cities as follows:

- if T[P] = Q and P ≠ Q, then there is a direct road between cities P and Q.

the function should return a sequence [2, 0, 6, 3, 5], as explained above.

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

- N is an integer within the range [1..90,000];
- each element of array T is an integer within the range [0..(N−1)];
- there is exactly one (possibly indirect) connection between any two distinct roads.

For example, consider K = 2 and the following network consisting of seven cities and six roads:

You start in city 2. From here you make the following trips:

- day 1 − from city 2 to city 0 (cities 1 and 0 become visited),
- day 2 − from city 0 to city 6 (cities 4 and 6 become visited),
- day 3 − from city 6 to city 3 (city 3 becomes visited),
- day 4 − from city 3 to city 5 (city 5 becomes visited).

Write a function:

def solution(K, T)

Array T describes a network of cities as follows:

- if T[P] = Q and P ≠ Q, then there is a direct road between cities P and Q.

the function should return a sequence [2, 0, 6, 3, 5], as explained above.

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

- N is an integer within the range [1..90,000];
- each element of array T is an integer within the range [0..(N−1)];
- there is exactly one (possibly indirect) connection between any two distinct roads.

For example, consider K = 2 and the following network consisting of seven cities and six roads:

You start in city 2. From here you make the following trips:

- day 1 − from city 2 to city 0 (cities 1 and 0 become visited),
- day 2 − from city 0 to city 6 (cities 4 and 6 become visited),
- day 3 − from city 6 to city 3 (city 3 becomes visited),
- day 4 − from city 3 to city 5 (city 5 becomes visited).

Write a function:

def solution(k, t)

Array T describes a network of cities as follows:

- if T[P] = Q and P ≠ Q, then there is a direct road between cities P and Q.

the function should return a sequence [2, 0, 6, 3, 5], as explained above.

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

- N is an integer within the range [1..90,000];
- each element of array T is an integer within the range [0..(N−1)];
- there is exactly one (possibly indirect) connection between any two distinct roads.

For example, consider K = 2 and the following network consisting of seven cities and six roads:

You start in city 2. From here you make the following trips:

- day 1 − from city 2 to city 0 (cities 1 and 0 become visited),
- day 2 − from city 0 to city 6 (cities 4 and 6 become visited),
- day 3 − from city 6 to city 3 (city 3 becomes visited),
- day 4 − from city 3 to city 5 (city 5 becomes visited).

Write a function:

object Solution { def solution(k: Int, t: Array[Int]): Array[Int] }

Array T describes a network of cities as follows:

- if T[P] = Q and P ≠ Q, then there is a direct road between cities P and Q.

the function should return a sequence [2, 0, 6, 3, 5], as explained above.

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

- N is an integer within the range [1..90,000];
- each element of array T is an integer within the range [0..(N−1)];
- there is exactly one (possibly indirect) connection between any two distinct roads.

For example, consider K = 2 and the following network consisting of seven cities and six roads:

You start in city 2. From here you make the following trips:

- day 1 − from city 2 to city 0 (cities 1 and 0 become visited),
- day 2 − from city 0 to city 6 (cities 4 and 6 become visited),
- day 3 − from city 6 to city 3 (city 3 becomes visited),
- day 4 − from city 3 to city 5 (city 5 becomes visited).

Write a function:

public func solution(K : Int, inout _ T : [Int]) -> [Int]

Array T describes a network of cities as follows:

- if T[P] = Q and P ≠ Q, then there is a direct road between cities P and Q.

the function should return a sequence [2, 0, 6, 3, 5], as explained above.

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

- N is an integer within the range [1..90,000];
- each element of array T is an integer within the range [0..(N−1)];
- there is exactly one (possibly indirect) connection between any two distinct roads.

For example, consider K = 2 and the following network consisting of seven cities and six roads:

You start in city 2. From here you make the following trips:

- day 1 − from city 2 to city 0 (cities 1 and 0 become visited),
- day 2 − from city 0 to city 6 (cities 4 and 6 become visited),
- day 3 − from city 6 to city 3 (city 3 becomes visited),
- day 4 − from city 3 to city 5 (city 5 becomes visited).

Write a function:

public func solution(_ K : Int, _ T : inout [Int]) -> [Int]

Array T describes a network of cities as follows:

- if T[P] = Q and P ≠ Q, then there is a direct road between cities P and Q.

the function should return a sequence [2, 0, 6, 3, 5], as explained above.

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

- N is an integer within the range [1..90,000];
- each element of array T is an integer within the range [0..(N−1)];
- there is exactly one (possibly indirect) connection between any two distinct roads.

For example, consider K = 2 and the following network consisting of seven cities and six roads:

You start in city 2. From here you make the following trips:

- day 1 − from city 2 to city 0 (cities 1 and 0 become visited),
- day 2 − from city 0 to city 6 (cities 4 and 6 become visited),
- day 3 − from city 6 to city 3 (city 3 becomes visited),
- day 4 − from city 3 to city 5 (city 5 becomes visited).

Write a function:

Private Function solution(K As Integer, T As Integer()) As Integer()

Array T describes a network of cities as follows:

- if T[P] = Q and P ≠ Q, then there is a direct road between cities P and Q.

the function should return a sequence [2, 0, 6, 3, 5], as explained above.

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

- N is an integer within the range [1..90,000];
- each element of array T is an integer within the range [0..(N−1)];
- there is exactly one (possibly indirect) connection between any two distinct roads.

Information about upcoming challenges, solutions and lessons directly in your inbox.

© 2009–2018 Codility Ltd., registered in England and Wales (No. 7048726). VAT ID GB981191408. Registered office: 107 Cheapside, London EC2V 6DN