This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<stdio.h>
#include<algorithm>
using namespace std;
int n;
struct A{
int p, d;
double q;
}a[100];
double x[1<<20];
double y[21][1<<20];
bool r[21][1<<20];
long long int fcnt[22];
int p[22];
int pl;
double dfs(int i, int cnt)
{
if(r[cnt][i]) return y[cnt][i];
r[cnt][i] = 1;
if(cnt==0) return y[cnt][i] = 1;
int j, k;
double res=0;
double sum = 0;
int count = 0;
for(j=0;j<pl;j++)
{
if(i&(1<<p[j]))
{
double tmp = dfs(i-(1<<p[j]), cnt-1);
tmp *= (1 - a[j].p / 100.0);
sum += tmp;
count++;
}
}
res = sum / count;
return y[cnt][i] = res;
}
int main()
{
int i, j, k;
scanf("%d",&n);
x[0] = 1;
for(i=0;i<n;i++)
{
a[i].p = 20; a[i].d = 100;
scanf("%d %d",&a[i].p,&a[i].d);
a[i].q = a[i].d * a[i].p / 100.0;
}
for(i=1;i<(1<<n)-1;i++)
{
double temp = 1;
int cnt=0;
pl = 0;
x[i] = 0;
for(j=0;j<n;j++)
if(i&(1<<j))
{
p[pl++] = j;
cnt++;
x[i] += (1-a[j].p/100.0)*(x[i-(1<<j)]);
}
x[i] /= cnt;
x[i] += 1;
// for(j=0;j<=cnt;j++)
{
// x[i] += dfs(i,j);
// printf("%lf ",y[j][i]);
}
// printf("%lf\n",x[i]);
// printf("\n");
}
double res=0;
for(i=1;i<(1<<n);i++)
{
double temp = 0;
int cnt=0;
for(j=0;j<n;j++)
if(i&(1<<j))
cnt++;
for(j=0;j<n;j++)
if(i&(1<<j))
{
temp += x[i - (1<<j)] * a[j].q;
}
temp /= cnt;
if(res < temp)
res = temp;
// printf("%d %lf\n",i,temp);
}
printf("%.10lf\n",res);
}
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