Tasks Details
easy
1.
Triangle
Determine whether a triangle can be built from a given set of edges.
Task Score
100%
Correctness
100%
Performance
100%
An array A consisting of N integers is given. A triplet (P, Q, R) is triangular if 0 ≤ P < Q < R < N and:
- A[P] + A[Q] > A[R],
- A[Q] + A[R] > A[P],
- A[R] + A[P] > A[Q].
For example, consider array A such that:
A[0] = 10 A[1] = 2 A[2] = 5 A[3] = 1 A[4] = 8 A[5] = 20Triplet (0, 2, 4) is triangular.
Write a function:
class Solution { public int solution(int[] A); }
that, given an array A consisting of N integers, returns 1 if there exists a triangular triplet for this array and returns 0 otherwise.
For example, given array A such that:
A[0] = 10 A[1] = 2 A[2] = 5 A[3] = 1 A[4] = 8 A[5] = 20the function should return 1, as explained above. Given array A such that:
A[0] = 10 A[1] = 50 A[2] = 5 A[3] = 1the function should return 0.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [0..100,000];
- each element of array A is an integer within the range [−2,147,483,648..2,147,483,647].
Copyright 2009–2024 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
Solution
Programming language used Java 8
Time spent on task 1 minutes
Notes
not defined yet
Task timeline
Code: 11:54:52 UTC,
java,
autosave
Code: 11:54:59 UTC,
java,
autosave
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
class Solution {
public int solution(int[] A) {
int N = A.length;
if(3 > N) return 0;
Arrays.sort(A);
for (int i = 0; i< N - 2; i++){
int passSum = 0;
long P = A[i], Q = A[i+1], R = A[i+2];
if(P + Q > R) passSum++;
if(Q + R > P) passSum++;
if(R + P > Q) passSum++;
if(3 == passSum) return 1;
}
return 0;
}
}
Code: 11:55:01 UTC,
java,
verify,
result: Passed
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
import java.util.Arrays;
class Solution {
public int solution(int[] A) {
int N = A.length;
if(3 > N) return 0;
Arrays.sort(A);
for (int i = 0; i< N - 2; i++){
int passSum = 0;
long P = A[i], Q = A[i+1], R = A[i+2];
if(P + Q > R) passSum++;
if(Q + R > P) passSum++;
if(R + P > Q) passSum++;
if(3 == passSum) return 1;
}
return 0;
}
}
Analysis
Code: 11:55:08 UTC,
java,
verify,
result: Passed
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
import java.util.Arrays;
class Solution {
public int solution(int[] A) {
int N = A.length;
if(3 > N) return 0;
Arrays.sort(A);
for (int i = 0; i< N - 2; i++){
int passSum = 0;
long P = A[i], Q = A[i+1], R = A[i+2];
if(P + Q > R) passSum++;
if(Q + R > P) passSum++;
if(R + P > Q) passSum++;
if(3 == passSum) return 1;
}
return 0;
}
}
Analysis
Code: 11:55:12 UTC,
java,
final,
score:
100
// you can also use imports, for example:
// import java.util.*;
// you can write to stdout for debugging purposes, e.g.
// System.out.println("this is a debug message");
import java.util.Arrays;
class Solution {
public int solution(int[] A) {
int N = A.length;
if(3 > N) return 0;
Arrays.sort(A);
for (int i = 0; i< N - 2; i++){
int passSum = 0;
long P = A[i], Q = A[i+1], R = A[i+2];
if(P + Q > R) passSum++;
if(Q + R > P) passSum++;
if(R + P > Q) passSum++;
if(3 == passSum) return 1;
}
return 0;
}
}Analysis summary
The solution obtained perfect score.
Analysis
Detected time complexity:
O(N*log(N))
expand all
Correctness tests
1.
0.004 s
OK
2.
0.008 s
OK
3.
0.008 s
OK
4.
0.008 s
OK
5.
0.004 s
OK
6.
0.008 s
OK
1.
0.004 s
OK
2.
0.008 s
OK
3.
0.004 s
OK
4.
0.008 s
OK
5.
0.008 s
OK
6.
0.004 s
OK
1.
0.004 s
OK
2.
0.008 s
OK
3.
0.004 s
OK
4.
0.004 s
OK
5.
0.004 s
OK
6.
0.004 s
OK
1.
0.004 s
OK
2.
0.008 s
OK
3.
0.004 s
OK
4.
0.004 s
OK
5.
0.004 s
OK
6.
0.004 s
OK
1.
0.008 s
OK
2.
0.004 s
OK
3.
0.008 s
OK
4.
0.004 s
OK
5.
0.004 s
OK
6.
0.004 s
OK
1.
0.008 s
OK
2.
0.004 s
OK
3.
0.004 s
OK
4.
0.012 s
OK
5.
0.004 s
OK
6.
0.004 s
OK
1.
0.008 s
OK
2.
0.008 s
OK
3.
0.004 s
OK
4.
0.004 s
OK
5.
0.004 s
OK
6.
0.004 s
OK
1.
0.008 s
OK
2.
0.004 s
OK
3.
0.004 s
OK
4.
0.004 s
OK
5.
0.004 s
OK
6.
0.012 s
OK
1.
0.008 s
OK
2.
0.004 s
OK
3.
0.008 s
OK
4.
0.004 s
OK
5.
0.012 s
OK
6.
0.008 s
OK
1.
0.004 s
OK
2.
0.008 s
OK
3.
0.004 s
OK
4.
0.008 s
OK
5.
0.004 s
OK
6.
0.004 s
OK
expand all
Performance tests
1.
0.032 s
OK
2.
0.004 s
OK
3.
0.004 s
OK
4.
0.004 s
OK
5.
0.004 s
OK
6.
0.004 s
OK
1.
0.124 s
OK
2.
0.004 s
OK
3.
0.008 s
OK
4.
0.004 s
OK
5.
0.004 s
OK
6.
0.004 s
OK
1.
0.292 s
OK
2.
0.004 s
OK
3.
0.004 s
OK
4.
0.004 s
OK
5.
0.004 s
OK
6.
0.004 s
OK
1.
0.312 s
OK
2.
0.008 s
OK
3.
0.004 s
OK
4.
0.008 s
OK
5.
0.004 s
OK
6.
0.004 s
OK
1.
0.192 s
OK
2.
0.004 s
OK
3.
0.004 s
OK
4.
0.004 s
OK
5.
0.004 s
OK
6.
0.004 s
OK
1.
0.164 s
OK
2.
0.004 s
OK
3.
0.004 s
OK
4.
0.008 s
OK
5.
0.004 s
OK
6.
0.004 s
OK