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#1811. 【2017.3 长乐省选集训 Day10 T1】圆圈游戏

https://sjzezoj.com/submission/66472
This commit is contained in:
Baoshuo Ren 2022-12-28 22:32:03 +08:00
parent dda9cfdeb7
commit a783b75b9d
Signed by: baoshuo
GPG Key ID: 00CB9680AB29F51A
52 changed files with 257 additions and 0 deletions

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#include <iostream>
#include <algorithm>
#include <cmath>
#include <set>
#include <tuple>
#include <utility>
#include <vector>
using std::cin;
using std::cout;
const char endl = '\n';
const int N = 1e5 + 5;
int n, base, fa[N];
std::tuple<int, int, int, int> c[N];
std::vector<std::tuple<int, int, bool>> p;
std::vector<int> g[N];
double pos(int id, bool p) {
int x, y, r;
std::tie(x, y, r, std::ignore) = c[id];
double d = std::sqrt(std::pow(r, 2) - std::pow(base - x, 2));
if (p) return y - d;
return y + d;
}
std::multiset<std::pair<int, bool>, bool (*)(std::pair<int, bool>, std::pair<int, bool>)> set{[](std::pair<int, bool> lhs, std::pair<int, bool> rhs) {
return pos(lhs.first, lhs.second) > pos(rhs.first, rhs.second);
}};
int dfs(int u) {
int res = 0;
for (int v : g[u]) {
res += dfs(v);
}
return std::max(res, std::get<3>(c[u]));
}
int main() {
std::ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n;
for (int i = 1, x, y, r, w; i <= n; i++) {
cin >> x >> y >> r >> w;
c[i] = std::make_tuple(x, y, r, w);
p.emplace_back(x - r, i, false);
p.emplace_back(x + r, i, true);
}
std::sort(p.begin(), p.end(), [](std::tuple<int, int, bool> lhs, std::tuple<int, int, bool> rhs) {
int x1, x2;
bool op1, op2;
std::tie(x1, std::ignore, op1) = lhs;
std::tie(x2, std::ignore, op2) = rhs;
return x1 == x2 ? op1 > op2 : x1 < x2;
});
for (auto o : p) {
int x, id, op;
std::tie(x, id, op) = o;
if (op) {
set.erase({id, 0});
set.erase({id, 1});
} else {
base = x;
set.emplace(id, 0);
auto it = set.find({id, 0});
if (it != set.begin()) {
int id2;
bool op2;
std::tie(id2, op2) = *std::prev(it);
if (op2) fa[id] = fa[id2];
else fa[id] = id2;
}
set.emplace(id, 1);
}
}
for (int i = 1; i <= n; i++) {
g[fa[i]].push_back(i);
}
cout << dfs(0) << endl;
return 0;
}

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