[Leet Code] Count Good Triplets

Matthew Boyd
2 min readJan 6, 2021

Leetcode: https://leetcode.com/problems/count-good-triplets/

Problem:

Given an array of integers arr, and three integers a, b and c. You need to find the number of good triplets.

A triplet (arr[i], arr[j], arr[k]) is good if the following conditions are true:

  • 0 <= i < j < k < arr.length
  • |arr[i] - arr[j]| <= a
  • |arr[j] - arr[k]| <= b
  • |arr[i] - arr[k]| <= c

Where |x| denotes the absolute value of x.

Return the number of good triplets.

Example 1:

Input: arr = [3,0,1,1,9,7], a = 7, b = 2, c = 3
Output: 4
Explanation: There are 4 good triplets: [(3,0,1), (3,0,1), (3,1,1), (0,1,1)].

Example 2:

Input: arr = [1,1,2,2,3], a = 0, b = 0, c = 1
Output: 0
Explanation: No triplet satisfies all conditions.

Constraints:

  • 3 <= arr.length <= 100
  • 0 <= arr[i] <= 1000
  • 0 <= a, b, c <= 1000

Solution:

class Solution(object):
def countGoodTriplets(self, arr, a, b, c):
"""
:type arr: List[int]
:type a: int
:type b: int
:type c: int
:rtype: int
"""
counter = 0

for i in range(len(arr)):
for j in range(len(arr)):
for k in range(len(arr)):
if (abs(arr[i] - arr[j]) <= a) and (abs(arr[j] - arr[k]) <= b) and (abs(arr[i] - arr[k]) <= c) and (i < j) and (j < k):
counter += 1
return counter

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