#include "prison.h"
#include <vector>
#include <iostream>
using namespace std;
#define all(x) (X).begin(), (x).end()
vector<int> mb(int N){
int stn = 3*3*3*3*3*3*3;
vector<int> repr;
for(int num = stn;num>=1;num/=3){
int cc = 0;
while(num<=N){
N-=num;
cc++;
}
repr.push_back(cc);
}
return repr;
}
vector<vector<int>> devise_strategy(int N) {
vector<vector<int>> s(23, vector<int>(N+1));
for(int i=0;i<23;i++){
if(i==0){
s[i][0]=0;
for(int j = 1;j<=N;j++){
auto b3 = mb(j);
s[i][j]=b3[0]+1;
}
continue;
}
int bnum=(i-1)%3;
int nbid = ((i-1)/3);
if(((i-1)/3)%2==0){
s[i][0]=1;
for(int j = 1;j<=N;j++){
auto b3 = mb(j);
//b3 is B bnum is A
if (b3[nbid]<bnum)s[i][j]=-2;
else if (b3[nbid]>bnum)s[i][j]=-1;
else if (i<22)s[i][j]=3*(nbid+1)+b3[nbid+1]+1;
else s[i][j]=0;
if((i==19 || i==20 || i==21) && s[i][j]!=-2 && s[i][j]!=-1){
if(b3[nbid+1]==0)s[i][j]=-2;
else if(b3[nbid+1]==2)s[i][j]=-1;
else s[i][j]=22;
}
}
}
else{
s[i][0]=0;
for(int j = 1;j<=N;j++){
if(i==22){
if(mb(j)[nbid]==0)s[i][j]=-1;
else s[i][j]=-2;
continue;
}
auto b3 = mb(j);
if (b3[nbid]<bnum)s[i][j]=-1;
else if (b3[nbid]>bnum)s[i][j]=-2;
else if (i<22) s[i][j]=3*(nbid+1)+b3[nbid+1]+1;
else s[i][j] = 0;
}
}
}
return s;
}
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