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P1496 火烧赤壁

https://www.luogu.com.cn/record/165811402
This commit is contained in:
Baoshuo Ren 2024-07-13 22:18:52 +08:00
parent f4c2fcf7c7
commit df2ee95279
Signed by: baoshuo
GPG Key ID: 00CB9680AB29F51A
3 changed files with 60 additions and 0 deletions

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Luogu/P1496/P1496.cpp Normal file
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#include <iostream>
#include <algorithm>
#include <vector>
using std::cin;
using std::cout;
const char endl = '\n';
const int N = 2e4 + 5;
int n, ans,
l[N], r[N], // 原位置
f[N << 1]; // 染色情况(离散化以后),注意开两倍空间(左右端点)
std::vector<int> nums; // 统计出现的数字,离散化用
int main() {
std::ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n;
for (int i = 1; i <= n; i++) {
cin >> l[i] >> r[i];
// 统计一下哪些数字出现过
nums.push_back(l[i]);
nums.push_back(r[i]);
}
// 先排序才能用 std::unique 去重,两个函数都在 <algorithm> 里面定义
std::sort(nums.begin(), nums.end());
nums.erase(std::unique(nums.begin(), nums.end()), nums.end()); // 去重完移除后面多余的数字
// 可以讲一下 std::unique 跑完以后数组的特性:前面不重复且单增,后面是多余的数
for (int i = 1; i <= n; i++) {
// 求出离散化以后的位置
int nl = std::lower_bound(nums.begin(), nums.end(), l[i]) - nums.begin(),
nr = std::lower_bound(nums.begin(), nums.end(), r[i]) - nums.begin();
// 这里用差分也可以,不过数据范围比较小,这么写也能过
for (int j = nl; j < nr; j++) {
f[j] = 1;
}
}
for (int i = 0; i < nums.size() - 1; i++) {
// 如果被染色就统计一下长度
if (f[i]) ans += nums[i + 1] - nums[i];
}
cout << ans << endl;
return 0;
}

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