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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 zero-indexed 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.

Assume that:

- 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.

Complexity:

- expected worst-case time complexity is O(N);
- expected worst-case space complexity is O(N), beyond input storage (not counting the storage required for input arguments).

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 zero-indexed 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.

Assume that:

- 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.

Complexity:

- expected worst-case time complexity is O(N);
- expected worst-case space complexity is O(N), beyond input storage (not counting the storage required for input arguments).

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 zero-indexed 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.

Assume that:

- 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.

Complexity:

- expected worst-case time complexity is O(N);
- expected worst-case space complexity is O(N), beyond input storage (not counting the storage required for input arguments).

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.

Assume that:

- 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.

Complexity:

- expected worst-case time complexity is O(N);

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.

Assume that:

- 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.

Complexity:

- expected worst-case time complexity is O(N);

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.

Assume that:

- 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.

Complexity:

- expected worst-case time complexity is O(N);

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.

Assume that:

- 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.

Complexity:

- expected worst-case time complexity is O(N);

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.

Assume that:

- 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.

Complexity:

- expected worst-case time complexity is O(N);

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.

Assume that:

- 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.

Complexity:

- expected worst-case time complexity is O(N);

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.

Assume that:

- 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.

Complexity:

- expected worst-case time complexity is O(N);

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.

Assume that:

- 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.

Complexity:

- expected worst-case time complexity is O(N);

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.

Assume that:

- 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.

Complexity:

- expected worst-case time complexity is O(N);

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.

Assume that:

- 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.

Complexity:

- expected worst-case time complexity is O(N);

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.

Assume that:

- 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.

Complexity:

- expected worst-case time complexity is O(N);

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.

Assume that:

- 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.

Complexity:

- expected worst-case time complexity is O(N);

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.

Assume that:

- 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.

Complexity:

- expected worst-case time complexity is O(N);

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.

Assume that:

- 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.

Complexity:

- expected worst-case time complexity is O(N);

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