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#include "cave.h"
#include<bits/stdc++.h>
void exploreCave(int N) {
/* ... */
using namespace std;
int correct_pos_of_door[N];
int switch_of_door[N];
int correct_pos_of_switch[N];
memset(correct_pos_of_switch,-1,sizeof correct_pos_of_switch);
memset(correct_pos_of_door,-1,sizeof correct_pos_of_door);
memset(switch_of_door,-1,sizeof switch_of_door);
//lets try to find correct pos of 1 door and correct pos of switch corresponding to it
int combi[N];
for(int i=0;i<N;i++) combi[i]=0;
for(int door=0;door<N;door++){
int switch_range_l=0,switch_range_r=N-1;
int res=tryCombination(combi);
if(res==door) correct_pos_of_door[door]=1;
else correct_pos_of_door[door]=0;
while(switch_range_l!=switch_range_r){
int m=(switch_range_l+switch_range_r)/2;
//either my switch corresponding to door will be in left part or right part
//making all left part one for positions i dont know in left part
int temp[N];
for(int i=0;i<N;i++) temp[i]=combi[i];
if(correct_pos_of_door[door]){
for(int i=switch_range_l;i<=m;i++){
if(correct_pos_of_switch[i]==-1) temp[i]=1;
}
}
else{
for(int i=m+1;i<=switch_range_r;i++){
if(correct_pos_of_switch[i]==-1) temp[i]=1;
}
}
res=tryCombination(temp);
if(res==door) switch_range_l=m+1;
else switch_range_r=m-1;
}
switch_of_door[door]=switch_range_l;
correct_pos_of_switch[switch_range_l]=correct_pos_of_door[door];
combi[switch_range_l]=correct_pos_of_switch[switch_range_l];
}
answer(correct_pos_of_switch,switch_of_door);
}
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