How to Solve Maximize Count of Distinct Primes After Split Problem
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Maximize Count of Distinct Primes After Split
You are given an integer array nums having length n and a 2D integer array queries where queries[i] = [idx, val]. For each query: Update nums[idx] = val. Choose an integer k with 1 <= k < n to split t...
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Problem Statement
You are given an integer array nums having length n and a 2D integer array queries where queries[i] = [idx, val]. For each query: Update nums[idx] = val. Choose an integer k with 1 <= k < n to split the array into the non-empty prefix nums[0..k-1] and suffix nums[k..n-1] such that the sum of the counts of distinct prime values in each part is maximum. Note: The changes made to the array in one query persist into the next query. Return an array containing the result for each query, in the order they are given.
Maximize Count of Distinct Primes After Split
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Examples
nums = [2,1,3,1,2], queries = [[1,2],[3,3]][3,4]Initially nums = [2, 1, 3, 1, 2]. After 1st query, nums = [2, 2, 3, 1, 2]. Split nums into [2] and [2, 3, 1, 2]. [2] consists of 1 distinct prime and [2, 3, 1, 2] consists of 2 distinct primes. Hence, the answer for this query is 1 + 2 = 3. After 2nd query, nums = [2, 2, 3, 3, 2]. Split nums into [2, 2, 3] and [3, 2] with an answer of 2 + 2 = 4. The output is [3, 4].
nums = [2,1,4], queries = [[0,1]][0]Initially nums = [2, 1, 4]. After 1st query, nums = [1, 1, 4]. There are no prime numbers in nums, hence the answer for this query is 0. The output is [0].
Constraints
2 <= n == nums.length <= 5 * 1041 <= queries.length <= 5 * 1041 <= nums[i] <= 1050 <= queries[i][0] < nums.length1 <= queries[i][1] <= 105How Interview Coder Helps with Leetcode Problems
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