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985. Sum of Even Numbers After Queries*

985. Sum of Even Numbers After Queries*

​​https://leetcode.com/problems/sum-of-even-numbers-after-queries/​​

题目描述

We have an array ​​A​​​ of integers, and an array ​​queries​​ of queries.

For the ​​i-th​​​ query ​​val = queries[i][0]​​​, ​​index = queries[i][1]​​​, we add ​​val​​​ to ​​A[index]​​​. Then, the answer to the ​​i-th​​ query is the sum of the even values of A.

(Here, the given ​​index = queries[i][1]​​​ is a ​​0-based​​​ index, and each query permanently modifies the array ​​A​​.)

Return the answer to all queries. Your answer array should have ​​answer[i]​​​ as the answer to the ​​i-th​​ query.

Example 1:

Input: A = [1,2,3,4], queries = [[1,0],[-3,1],[-4,0],[2,3]]
Output: [8,6,2,4]
Explanation:
At the beginning, the array is [1,2,3,4].
After adding 1 to A[0], the array is [2,2,3,4], and the sum of even values is 2 + 2 + 4 = 8.
After adding -3 to A[1], the array is [2,-1,3,4], and the sum of even values is 2 + 4 = 6.
After adding -4 to A[0], the array is [-2,-1,3,4], and the sum of even values is -2 + 4 = 2.
After adding 2 to A[3], the array is [-2,-1,3,6], and the sum of even values is -2 + 6 = 4.

Note:

  • ​1 <= A.length <= 10000​
  • ​-10000 <= A[i] <= 10000​
  • ​1 <= queries.length <= 10000​
  • ​-10000 <= queries[i][0] <= 10000​
  • ​0 <= queries[i][1] < A.length​

C++ 实现 1

思路很暴力, 使用 ​​odd_sum​​​ 始终维护数组的奇数和, 使用 ​​even_sum​​ 始终维护数组的偶数和.

class Solution {
public:
vector<int> sumEvenAfterQueries(vector<int>& A, vector<vector<int>>& queries) {
int odd_sum = 0, even_sum = 0;
for (auto &a : A) {
if (a % 2 == 0) even_sum += a;
else odd_sum += a;
}
vector<int> res;
for (auto &q : queries) {
int val = q[0], index = q[1];
if (A[index] % 2 == 0) {
if (val % 2 == 0) {
A[index] += val;
even_sum += val;
} else {
even_sum -= A[index];
A[index] += val;
odd_sum += A[index];
}
} else {
if (val % 2 == 0) {
A[index] += val;
odd_sum += val;
} else {
odd_sum -= A[index];
A[index] += val;
even_sum += A[index];
}
}
res.push_back(even_sum);
}
return res;
}
};

扩展阅读

​​[Java] 10 liner - odd / even analysis, time O(max(m, n))​​

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