Probability problem
Generate a string like the first test case "03"
And do permutation, then select the best answer from 0 to 4
Remember to divide by the NUMBER of BOX, because you may get a BOX provided by someone else
//====================================================================||
// ||
// ||
// Author : GCA ||
// 6AE7EE02212D47DAD26C32C0FE829006 ||
//====================================================================||
#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <cmath>
#include <climits>
#include <vector>
#include <set>
#include <map>
#include <queue>
#include <cctype>
#include <utility>
using namespace std;
#ifdef ONLINE\_JUDGE
#define ll "%lld"
#else
#define ll "%I64d"
#endif
typedef unsigned int uint;
typedef long long int Int;
#define Set(a,s) memset(a,s,sizeof(a))
#define Write(w) freopen(w,"w",stdout)
#define Read(r) freopen(r,"r",stdin)
#define Pln() printf("\\n")
#define I\_de(x,n)for(int i=0;i<n;i++)printf("%d ",x\[i\]);Pln()
#define De(x)printf(#x"%d\\n",x)
#define For(i,x)for(int i=0;i<x;i++)
#define CON(x,y) x##y
#define Pmz(dp,nx,ny)for(int hty=0;hty<ny;hty++){for(int htx=0;htx<nx;htx++){\\
printf("%d ",dp\[htx\]\[hty\]);}Pln();}
#define M 55
#define PII pair<int,int\>
#define PB push\_back
#define oo INT\_MAX
#define Set\_oo 0x3f
#define Is\_debug true
#define debug(...) if(Is\_debug)printf("DEBUG: "),printf(\_\_VA\_ARGS\_\_)
#define FOR(it,c) for(\_\_typeof((c).begin()) it=(c).begin();it!=(c).end();it++)
#define eps 1e-9
bool xdy(double x,double y){return x>y+eps;}
bool xddy(double x,double y){return x>y-eps;}
bool xcy(double x,double y){return x<y-eps;}
bool xcdy(double x,double y){return x<y+eps;}
int min3(int x,int y,int z){
int tmp=min(x,y);
return min(tmp,z);
}
int max3(int x,int y,int z){
int tmp=max(x,y);
return max(tmp,z);
}
int g\[6\];
int str\[1000\];
int len;
bool used\[1000\];
int now\[1000\];
double p\[20\]\[6\];
double ap\[6\];
int pnum;
void dfs(int n){
if(n==len){
// for(int i=0;i<len;i++){
// printf("%d",now\[i\]);
// }Pln();
double tmp=1;
for(int i=0;i<len;i++){
tmp\*=p\[i\]\[now\[i\]\];
}
ap\[now\[0\]\]+=tmp;
return;
}
int b=-1;
for(int i=0;i<len;i++){
if(b!=str\[i\]&&!used\[i\]){
used\[i\]=1;
b=str\[i\];
now\[n\]=str\[i\];
dfs(n+1);
used\[i\]=0;
}
}
}
void solve(){
Set(used,0);
dfs(0);
double all=0;
for(int i=0;i<5;i++){
all+=ap\[i\];
}
double maxans=0;
int index;
for(int i=0;i<5;i++){
if(ap\[i\]/all/g\[i\]>maxans+eps){
maxans=ap\[i\]/all/g\[i\];
index=i;
}
}
printf("%d %.3lf\\n",index+1,maxans);
}
int main() {
ios\_base::sync\_with\_stdio(0);
int test;
scanf("%d",&test);
while(test--){
scanf("%d",&pnum);
Set(str,0);
Set(ap,0);
len=0;
for(int i=0;i<5;i++)scanf("%d",&g\[i\]);
for(int i=0;i<5;i++){
for(int j=0;j<g\[i\];j++){
str\[len++\]=i;
}
}
for(int i=0;i<pnum;i++){
for(int j=0;j<5;j++){
scanf("%lf",&p\[i\]\[j\]);
}
}
solve();
}
}