P3743 kotori的设备

// Problem: P3743 kotori的设备
// Contest: Luogu
// URL: https://www.luogu.com.cn/problem/P3743
// Memory Limit: 125 MB
// Time Limit: 1000 ms
// User: Pannnn
#include <bits/stdc++.h>
using namespace std;
template<class T>
void debugVector(const T &a) {
cout << "[ ";
for (size_t i = 0; i < a.size(); ++i) {
cout << a[i] << (i == a.size() - 1 ? " " : ", ");
}
cout << "]" << endl;
}
template<class T1, class T2>
void debugVectorPair(const vector<pair<T1, T2>> &a) {
cout << "{";
for (size_t i = 0; i < a.size(); ++i) {
cout << "[ " << a[i].first << ": " << a[i].second << (i == a.size() - 1 ? " ]" : " ], ");
}
cout << "}" << endl;
}
template<class T>
void debugMatrix2(const T &a) {
for (size_t i = 0; i < a.size(); ++i) {
debugVector(a[i]);
}
}
template<class T>
using matrix2 = vector<vector<T>>;
template<class T>
vector<vector<T>> getMatrix2(size_t n, size_t m, T init = T()) {
return vector<vector<T>>(n, vector<T>(m, init));
}
template<class T>
using matrix3 = vector<vector<vector<T>>>;
template<class T>
vector<vector<vector<T>>> getMatrix3(size_t x, size_t y, size_t z, T init = T()) {
return vector<vector<vector<T>>>(x, vector<vector<T>>(y, vector<T>(z, init)));
}
vector<int> genBigInteger(const string &a) {
vector<int> res;
if (a.empty()) return res;
for (int i = a.size() - 1; i >= 0; --i) {
res.push_back(a[i] - '0');
}
return res;
}
ostream &printBigInteger(const vector<int> &a) {
if (a.empty()) return cout;
for (int i = a.size() - 1; i >= 0; --i) {
cout << a[i];
}
return cout;
}
vector<int> maxBigInteger(const vector<int> &a, const vector<int> &b) {
if (a.size() > b.size()) {
return a;
} else if (a.size() < b.size()) {
return b;
}
for (int i = a.size() - 1; i >= 0; --i) {
if (a[i] > b[i]) {
return a;
} else if (a[i] < b[i]) {
return b;
}
}
return a;
}
vector<int> addBigInteger(const vector<int> &a, const vector<int> &b) {
vector<int> res;
int pre = 0;
for (size_t i = 0; i < a.size() || i < b.size() || pre; ++i) {
if (i < a.size()) pre += a[i];
if (i < b.size()) pre += b[i];
res.push_back(pre % 10);
pre /= 10;
}
while (res.size() > 1 && res.back() == 0) {
res.pop_back();
}
return res;
}
vector<int> mulBigInteger(const vector<int> &a, int b) {
vector<int> res;
int pre = 0;
for (size_t i = 0; i < a.size() || pre; ++i) {
if (i < a.size()) pre += a[i] * b;
res.push_back(pre % 10);
pre /= 10;
}
while (res.size() > 1 && res.back() == 0) {
res.pop_back();
}
return res;
}
vector<int> divBigInteger(const vector<int> &a, int b, int &r) {
vector<int> res;
for (int i = a.size() - 1; i >= 0; --i) {
r = 10 * r + a[i];
res.push_back(r / b);
r %= b;
}
reverse(res.begin(), res.end());
while (res.size() > 1 && res.back() == 0) {
res.pop_back();
}
return res;
}
/*
验证一个使用时间时,若设备已有的能量大于使用时间需要的能量,忽略该设备。
否则用充电器充电,使设备已有的能量等于使用时间需要的能量。
最后比较需要的能量总和 和 充电器最多提供的能量。
-1特判:
若所有设备的消耗能量速度总和小于充电器的充电速度,输出-1。
*/
bool check(vector<pair<int, int>> &info, double mid, int p) {
double need = 0;
for (int i = 0; i < info.size(); ++i) {
if (info[i].second >= info[i].first * mid) {
continue;
}
need += info[i].first * mid - info[i].second;
}
return need <= mid * p;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n, p;
cin >> n >> p;
vector<pair<int, int>> info(n);
double bSum = 0;
for (int i = 0; i < n; ++i) {
cin >> info[i].first >> info[i].second;
bSum += info[i].first;
}
if (bSum <= p) {
cout << "-1" << endl;
return 0;
}
double left = 0, right = 1e10;
while (right - left > 1e-6) {
double mid = (left + right) / 2;
if (check(info, mid, p)) {
left = mid;
} else {
right = mid;
}
}
printf("%.10f\n", right);
return 0;
}
posted @   Pannnn  阅读(58)  评论(0编辑  收藏  举报
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