#include "prison.h"
#include <bits/stdc++.h>
using namespace std;
bool cal(int val, int i) {
int cur=1, tar=1;
while(cur<val) cur*=2;
while(i--) tar*=2;
while(val != 0) {
if(val >= cur) {
val-=cur;
if(cur == tar) return true;
}
cur/=2;
}
return false;
}
vector<vector<int>> devise_strategy(int N) {
int larP=0, idx=1;
while(N >= idx) {
idx*=2; larP++;
}
vector<vector<int>> s(larP*3, vector<int>(N+1, 0));
for(int i=larP; i<larP*3; i++) s[i][0]=1;
for(int i=0; i<larP*3; i++) {
int pow = (larP-1)-(i%larP);
if(i < larP) {
for(int j=1; j<=N; j++) {
if(cal(j, pow)) s[i][j]=i+larP*2;
else s[i][j]=i+larP;
}
} else if(i < larP*2) {
for(int j=1; j<=N; j++) {
if(cal(j, pow)) s[i][j]=-1;
else s[i][j]=i-larP+1;
}
} else {
for(int j=1; j<=N; j++) {
if(cal(j, pow)) s[i][j]=i-larP*2+1;
else s[i][j]=-2;
}
}
}
return s;
}
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