牛客多校5 A-gpa(01分数规划)

it2026-08-07  14

gpa

 

链接:https://www.nowcoder.com/acm/contest/143/A来源:牛客网

时间限制:C/C++ 1秒,其他语言2秒 空间限制:C/C++ 262144K,其他语言524288K Special Judge, 64bit IO Format: %lld

题目描述

Kanade selected n courses in the university. The academic credit of the i-th course is s[i] and the score of the i-th course is c[i].

At the university where she attended, the final score of her is 

Now she can delete at most k courses and she want to know what the highest final score that can get.

输入描述:

The first line has two positive integers n,kThe second line has n positive integers s[i]The third line has n positive integers c[i]

输出描述:

Output the highest final score, your answer is correct if and only if the absolute error with the standard answer is no more than 10 -5 示例1

输入

复制 3 1 1 2 3 3 2 1

输出

复制 2.33333333333

说明

Delete the third course and the final score is 

备注:

1≤ n≤ 10 5 0≤ k < n1≤ s[i],c[i] ≤ 10 3     附01分数规划讲解: https://blog.csdn.net/hhaile/article/details/8883652     #include<stdio.h> #include<stdlib.h> #include<string.h> #include<math.h> #include<algorithm> #define MAX 100005 #define INF 0x3f3f3f3f #define MOD 1000000007 using namespace std; typedef long long ll; double s[MAX],c[MAX],cnt[MAX]; int main() { int n,k,i; scanf("%d%d",&n,&k); for(i=1;i<=n;i++){ scanf("%lf",&s[i]); } for(i=1;i<=n;i++){ scanf("%lf",&c[i]); } double l=0,r=1000; while(r-l>0.000001){ double mid=(l+r)/2; for(i=1;i<=n;i++){ cnt[i]=s[i]*c[i]-mid*s[i]; } sort(cnt+1,cnt+n+1); double fx=0; for(i=k+1;i<=n;i++){ fx+=cnt[i]; } if(fx>=0) l=mid; else r=mid; } printf("%f\n",l); return 0; }

 

转载于:https://www.cnblogs.com/yzm10/p/9408966.html

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