2364. Count Number of Bad Pairs
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You are given a 0-indexed integer array nums. A pair of indices (i, j) is a bad pair if i < j and j - i != nums[j] - nums[i].
Return the total number of bad pairs in nums.
Example 1:
Input: nums = [4,1,3,3] Output: 5 Explanation: The pair (0, 1) is a bad pair since 1 - 0 != 1 - 4. The pair (0, 2) is a bad pair since 2 - 0 != 3 - 4, 2 != -1. The pair (0, 3) is a bad pair since 3 - 0 != 3 - 4, 3 != -1. The pair (1, 2) is a bad pair since 2 - 1 != 3 - 1, 1 != 2. The pair (2, 3) is a bad pair since 3 - 2 != 3 - 3, 1 != 0. There are a total of 5 bad pairs, so we return 5.
Example 2:
Input: nums = [1,2,3,4,5] Output: 0 Explanation: There are no bad pairs.
Constraints:
1 <= nums.length <= 1051 <= nums[i] <= 109
Hints
Hint 1
Would it be easier to count the number of pairs that are not bad pairs?
Hint 2
Notice that (j - i != nums[j] - nums[i]) is the same as (nums[i] - i != nums[j] - j).
Hint 3
Keep a counter of nums[i] - i. To be efficient, use a HashMap.