There is a theatrical performance which will be watched by n regular spectators and m theater critics. The spectators will sit on the first row on places numbered from 1 to n while the critics will watch the performance from their own section.Critics analyze not only the performance itself but also the response of the audience. Critic number i will observe the spectators on the seats from li to ri inclusive. Initially the spectator on a seat number j has a level of criticism equal to a.j. Before the performance the promoters can approach some viewers and spend no more than k items of merchandize. Each item given to a viewer will decrease their criticism by 1. However, the level of criticism of any viewer can't become negative.We define a criticism of the i-th critic as a total criticism level of the viewers he's observing. What is the minimum possible sum of critics levels of criticism that can be achieved?给出中文解释和c++代码
时间: 2024-04-21 15:22:41 浏览: 16
问题要求找到能够使得批评者的总批评水平最小的方案。我们可以采取贪心算法来解决这个问题。
中文解释:
1. 首先,我们可以创建一个数组`criticism`,大小为n,用来存储每个观众的初始批评水平。
2. 然后,我们按照观众的座位编号从左到右遍历每个批评者和他们的观察范围(li到ri)。
3. 对于每个批评者的观察范围内的观众,我们计算将他们的批评水平减少到0(或尽可能接近0而不为负)所需的最小物品数量。我们将这个值命名为`min_items`。
4. 将`min_items`从观众的批评水平中减去。
5. 记录所有批评者的`min_items`的总和。
6. 遍历完所有批评者后,返回`min_items`的总和。
下面是对应的C++代码实现:
```cpp
#include <iostream>
#include <vector>
int minCriticismLevels(int n, int m, std::vector<int>& a, std::vector<std::pair<int, int>>& critics, int k) {
std::vector<int> criticism(a.begin(), a.end()); // 初始化批评水平数组
int totalMinItems = 0;
for (int i = 0; i < m; i++) {
int minItems = 0;
int criticStart = critics[i].first;
int criticEnd = critics[i].second;
// 遍历批评者的观察范围
for (int j = criticStart - 1; j <= criticEnd - 1; j++) {
if (criticism[j] > 0) {
// 计算将观众的批评水平减少到0所需的最小物品数量
int itemsNeeded = std::min(criticism[j], k);
minItems += itemsNeeded;
criticism[j] -= itemsNeeded;
k -= itemsNeeded;
}
}
totalMinItems += minItems;
}
return totalMinItems;
}
int main() {
int n, m, k;
std::cin >> n >> m >> k;
std::vector<int> a(n);
for (int i = 0; i < n; i++) {
std::cin >> a[i];
}
std::vector<std::pair<int, int>> critics(m);
for (int i = 0; i < m; i++) {
std::cin >> critics[i].first >> critics[i].second;
}
int minSumCriticismLevels = minCriticismLevels(n, m, a, critics, k);
std::cout << minSumCriticismLevels << std::endl;
return 0;
}
```
请注意,这只是一个基本的实现示例,并未进行错误处理和输入验证。在实际应用中,您可能需要根据实际情况进行更多的输入检查和错误处理。