版权声明:本文为博主原创文章,未经博主允许不得转载。 https://blog.csdn.net/qq_40984919/article/details/81304593
#include<set>
#include<map>
#include<stack>
#include<bitset>
#include<math.h>
#include<string>
#include<vector>
#include<cstdio>
#include<cstring>
#include<iostream>
#include<algorithm>
#define pi acos(-1)
#define close ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
using namespace std;
typedef long long ll;
const int MAX_N=1000000+50;
const int INF=0x3f3f3f3f;
ll mod = 1e9+7;
/*
公式推导
Σvi/Σwi >= x
Σ(vi - x*wi) >= 0
*/
int n,k;
int w[MAX_N],v[MAX_N];
double y[MAX_N]; // v - x * w;
//判断是否满足条件
bool C(double x){
for(int i = 0; i < n; i++){
y[i] = v[i] - x * w[i];
}
sort(y,y+n);
//计算y数组中从大到小前k个数的和
double sum = 0;
for(int i = 0; i < k; i++){
sum += y[n - i - 1];
}
return sum >= 0;
}
void solve(){
double lb = 0, ub = INF;
for(int i = 0; i < 100; i++){
double mid = (lb + ub) / 2;
if(C(mid)) lb = mid;
else ub = mid;
}
printf("%.2f\n",ub);
}
int main(){
scanf("%d%d",&n,&k);
for(int i = 0; i < n; i++){
scanf("%d%d",&w[i],&v[i]);
}
solve();
return 0;
}
/*
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##############################################################
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########################################## ############
*/