Problem Link

Description


You are given a circular array nums and an array queries.

For each query i, you have to find the following:

  • The minimum distance between the element at index queries[i] and any other index j in the circular array, where nums[j] == nums[queries[i]]. If no such index exists, the answer for that query should be -1.

Return an array answer of the same size as queries, where answer[i] represents the result for query i.

 

Example 1:

Input: nums = [1,3,1,4,1,3,2], queries = [0,3,5]

Output: [2,-1,3]

Explanation:

  • Query 0: The element at queries[0] = 0 is nums[0] = 1. The nearest index with the same value is 2, and the distance between them is 2.
  • Query 1: The element at queries[1] = 3 is nums[3] = 4. No other index contains 4, so the result is -1.
  • Query 2: The element at queries[2] = 5 is nums[5] = 3. The nearest index with the same value is 1, and the distance between them is 3 (following the circular path: 5 -> 6 -> 0 -> 1).

Example 2:

Input: nums = [1,2,3,4], queries = [0,1,2,3]

Output: [-1,-1,-1,-1]

Explanation:

Each value in nums is unique, so no index shares the same value as the queried element. This results in -1 for all queries.

 

Constraints:

  • 1 <= queries.length <= nums.length <= 105
  • 1 <= nums[i] <= 106
  • 0 <= queries[i] < nums.length

Solution


Python3

class Solution:
    def solveQueries(self, nums: List[int], queries: List[int]) -> List[int]:
        N = len(nums)
        nums += nums
        res = [inf] * N
        last = {}
 
        for i, x in enumerate(nums):
            if x in last and last[x] != i % N:
                res[last[x] % N] = min(res[last[x] % N], N - i + last[x], i - last[x])
                res[i % N] = min(res[i % N], N - i + last[x], i - last[x])
 
            last[x] = i
 
        ans = []
        for q in queries:
            if res[q] == inf:
                ans.append(-1)
            else:
                ans.append(res[q])
 
        return ans