Communication System
Time Limit: 1000MS | Memory Limit: 10000K | |
Total Submissions: 19377 | Accepted: 6851 |
Description
We have received an order from Pizoor Communications Inc. for a special communication system. The system consists of several devices. For each device, we are free to choose from several manufacturers. Same devices from two manufacturers
differ in their maximum bandwidths and prices.
By overall bandwidth (B) we mean the minimum of the bandwidths of the chosen devices in the communication system and the total price (P) is the sum of the prices of all chosen devices. Our goal is to choose a manufacturer for each device to maximize B/P.
By overall bandwidth (B) we mean the minimum of the bandwidths of the chosen devices in the communication system and the total price (P) is the sum of the prices of all chosen devices. Our goal is to choose a manufacturer for each device to maximize B/P.
Input
The first line of the input file contains a single integer t (1 ≤ t ≤ 10), the number of test cases, followed by the input data for each test case. Each test case starts with a line containing a single integer n (1 ≤ n ≤ 100),
the number of devices in the communication system, followed by n lines in the following format: the i-th line (1 ≤ i ≤ n) starts with mi (1 ≤ mi ≤ 100), the number of manufacturers for the i-th device, followed by mi pairs of positive integers in the same
line, each indicating the bandwidth and the price of the device respectively, corresponding to a manufacturer.
Output
Your program should produce a single line for each test case containing a single number which is the maximum possible B/P for the test case. Round the numbers in the output to 3 digits after decimal point.
Sample Input
1 3 3 100 25 150 35 80 25 2 120 80 155 40 2 100 100 120 110
Sample Output
0.649
Source
Tehran 2002, First Iran Nationwide Internet Programming Contest
MYCode:
#include<iostream>
#include<cstring>
#include<cstdio>
#include<algorithm>
using namespace std;
#define MAX 110
struct node
{
int b;
int p;
};
node st[MAX][MAX];
int num[MAX];
int list[10010];
int n;
bool mark;
bool cmp(node a,node b)
{
if(a.p!=b.p)
{
return a.p<b.p;
}
else
{
return a.b<b.b;
}
}
int solve(int lim)
{
bool flag,sign=true;
int i,j;
int sum=0;
for(i=1;i<=n;i++)
{
bool flag=false;
for(j=1;j<=num[i];j++)
{
if(st[i][j].b>=lim)
{
flag=true;
sum+=st[i][j].p;
break;
}
}
if(flag==false)
{
sign=false;
break;
}
}
if(sign==false)
{
mark=false;
return -1;
}
else
return sum;
}
int main()
{
int t;
scanf("%d",&t);
while(t--)
{
int i,j;
int ct=0;
scanf("%d",&n);
for(i=1;i<=n;i++)
{
scanf("%d",&num[i]);
for(j=1;j<=num[i];j++)
{
scanf("%d%d",&st[i][j].b,&st[i][j].p);
list[ct++]=st[i][j].b;
}
sort(st[i]+1,st[i]+num[i]+1,cmp);
}
sort(list,list+ct);
double ans=-1;
mark=true;
for(i=0;i<ct;i++)
{
if(mark==false)
break;
if(i==0||list[i]!=list[i-1])
{
int res=solve(list[i]);
if(list[i]*1.0/res*1.0>ans)
ans=(list[i]*1.0)/res;
}
}
printf("%.3lf\n",ans);
}
}
//16MS
#include<cstring>
#include<cstdio>
#include<algorithm>
using namespace std;
#define MAX 110
struct node
{
int b;
int p;
};
node st[MAX][MAX];
int num[MAX];
int list[10010];
int n;
bool mark;
bool cmp(node a,node b)
{
if(a.p!=b.p)
{
return a.p<b.p;
}
else
{
return a.b<b.b;
}
}
int solve(int lim)
{
bool flag,sign=true;
int i,j;
int sum=0;
for(i=1;i<=n;i++)
{
bool flag=false;
for(j=1;j<=num[i];j++)
{
if(st[i][j].b>=lim)
{
flag=true;
sum+=st[i][j].p;
break;
}
}
if(flag==false)
{
sign=false;
break;
}
}
if(sign==false)
{
mark=false;
return -1;
}
else
return sum;
}
int main()
{
int t;
scanf("%d",&t);
while(t--)
{
int i,j;
int ct=0;
scanf("%d",&n);
for(i=1;i<=n;i++)
{
scanf("%d",&num[i]);
for(j=1;j<=num[i];j++)
{
scanf("%d%d",&st[i][j].b,&st[i][j].p);
list[ct++]=st[i][j].b;
}
sort(st[i]+1,st[i]+num[i]+1,cmp);
}
sort(list,list+ct);
double ans=-1;
mark=true;
for(i=0;i<ct;i++)
{
if(mark==false)
break;
if(i==0||list[i]!=list[i-1])
{
int res=solve(list[i]);
if(list[i]*1.0/res*1.0>ans)
ans=(list[i]*1.0)/res;
}
}
printf("%.3lf\n",ans);
}
}
//16MS
枚举最小的B,复杂度是1E8,加上剪枝,16MS,有点夸张,本来以为会TLE.
是因为数据不够强吗?