Pythagorean Triplets Detection

Determine if an array contains a Pythagorean triplet by checking whether there are three integers x, y, and z such that x2 + y2 = z2 within the array.

Input:

The first line contains an integer 't', the number of test cases. Each test case has the following format: For each test case, the first line has an integer 'n', the number of elements in the array. The second line lists 'n' space-separated integers.

Output:

For each test case, output “yes” if a Pythagorean triplet is present, otherwise output “no”.

Example:

If the input is as follows:

t = 1, n = 5, array = [3, 1, 4, 6, 5]

The output would be:

yes

Constraints:

  • 1 <= T <= 10
  • 3 <= N <= 103
  • 1 <= a[i] <= 104
  • Time Limit: 1 second

Note:

  • The integers x, y, and z do not need to be distinct but must be from different indices.
  • The integers can appear in any order in the array.
AnswerBot
4mo

Detect if an array contains a Pythagorean triplet by checking if x^2 + y^2 = z^2.

  • Iterate through all possible combinations of three numbers in the array.

  • Check if the sum of squares of any two numbers ...read more

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