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Sum of Matrix After Queries

You are given an integer n and a 0-indexed 2D array queries where queries[i] = [typei, indexi, vali].

You are given an integer n and a 0-indexed 2D array queries where queries[i] = [typei, indexi, vali].

Initially, there is a 0-indexed n x n matrix filled with 0's. For each query, you must apply one of the following changes:

Return the sum of integers in the matrix after all queries are applied.

Example 1

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

Output: 23

Explanation: The image above describes the matrix after each query. The sum of the matrix after all queries are applied is 23.

Example 2

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

Output: 17

Explanation: The image above describes the matrix after each query. The sum of the matrix after all queries are applied is 17.

Constraints

  • 1 <= n <= 10^4
  • 1 <= queries.length <= 5 * 10^4
  • queries[i].length == 3
  • 0 <= typei <= 1
  • 0 <= indexi < n
  • 0 <= vali <= 10^5

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