For each node in a tree find the sum of distances to all other nodes.
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)
Spoken language:
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
int solution(int T[], int N);
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
int solution(vector<int> &T);
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
int solution(vector<int> &T);
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
class Solution { public int solution(int[] T); }
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
int solution(List<int> T);
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
func Solution(T []int) int
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
class Solution { public int solution(int[] T); }
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
class Solution { public int solution(int[] T); }
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
function solution(T);
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
fun solution(T: IntArray): Int
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
function solution(T)
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
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.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
int solution(NSMutableArray *T);
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
function solution(T: array of longint; N: longint): longint;
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
function solution($T);
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
sub solution { my (@T) = @_; ... }
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
def solution(T)
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
def solution(t)
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
object Solution { def solution(t: Array[Int]): Int }
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
public func solution(_ T : inout [Int]) -> Int
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
function solution(T: number[]): number;
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
A computer network consisting of N routers and N−1 links connecting them is given. Routers are labeled with distinct integers within the range [0..(N−1)]. Links connect routers in such a way that each distinct pair of routers is connected either by a direct link or through a path consisting of direct links. There is exactly one way to reach any router from another and the number of direct links that must be traversed is called the distance between these two routers. For example, consider the following network consisting of ten routers and nine links:
Routers 2 and 4 are connected directly, so the distance between them is 1. Routers 4 and 7 are connected through a path consisting of direct links 4−0, 0−9 and 9−7; hence the distance between them is 3.
The location of a router in the network determines how quickly a packet dispatched by that router can reach other routers. The peripherality of a router is the average distance to all other routers on the network. For example, the peripherality of router 4 in the network shown above is 2.11, because:
distance to 0: 1 distance to 1: 3 distance to 2: 1 distance to 3: 3 distance to 5: 1 distance to 6: 3 distance to 7: 3 distance to 8: 2 distance to 9: 2 average: 19/9 = 2.11
The peripherality of router 0 is 1.66 and no other router has lower peripherality.
Write a function
Private Function solution(T As Integer()) As Integer
that, given a non-empty array T consisting of N integers describing a network of N routers and N−1 links, returns the label of the router that has minimum peripherality. If there is more than one router that has minimum peripherality, the function should return the lowest label.
Array T describes a network of routers as follows:
- if T[P] = Q and P ≠ Q, then there is a direct link between routers P and Q.
For example, given the following array T consisting of ten elements:
T[0] = 9 T[1] = 1 T[2] = 4 T[3] = 9 T[4] = 0 T[5] = 4 T[6] = 8 T[7] = 9 T[8] = 0 T[9] = 1the function should return 0, because this array describes the network shown above and router 0 has minimum peripherality.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- 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 routers.
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
