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- 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
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- class Solution:
- def countGoodTriplets(self, arr: List[int], a: int, b: int, c: int) -> int:
- result = []
- for i in range(len(arr)):
- for j in range(i + 1, len(arr)):
- for k in range(j + 1, len(arr)):
- f = arr[i]
- s = arr[j]
- t = arr[k]
- if abs(f - s) <= a and abs(s - t) <= b and abs(f - t) <= c:
- result.append((f, s, t))
- return len(result)
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