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 <bits/stdc++.h>
#include "prison.h"
using namespace std;
typedef long long ll;
vector<vector<int>> ans(23);
vector<vector<int>> inds(8);
int val(int n, int exp){
vector<ll> pw(9);
pw[0] = 1;
for(int i = 1; i <= 8; i++) pw[i] = pw[i-1] * 3;
for(int i = 8; i >= 0; i--){
int which;
if(n >= pw[i] * 2) {n -= pw[i] * 2; which = 2;}
else if(n >= pw[i]) {n -= pw[i]; which = 1;}
else{
which = 0;
}
if(i == exp) return which;
}
return 0;
}
int N;
void build(int ind, int exp, int should){
if(exp == 0){
for(int i = 1; i <= N; i++){
int which = val(i, exp);
if(which != should){
if(which < should) ans[ind][i] = -(ans[ind][0] + 1);
else ans[ind][i] = -((1 - ans[ind][0]) + 1);
}
}
return;
}
if(exp == 1){
//Optimize 2 queries.
for(int i : inds[exp - 1]){
ans[i][0] = 1 - ans[ind][0];
}
for(int i = 1; i <= N; i++){
int which = val(i, exp);
if(which != should){
if(which < should) ans[ind][i] = -(ans[ind][0] + 1);
else ans[ind][i] = -((1 - ans[ind][0]) + 1);
}else{
which = val(i, exp - 1);
if(which == 0){
ans[ind][i] = -(ans[ind][0] + 1);
}else if(which == 2){
ans[ind][i] = -((1 - ans[ind][0]) + 1);
}else{
ans[ind][i] = inds[exp-1][0];
}
}
}
build(inds[exp - 1][0], exp - 1, 1);
return;
}
for(int i : inds[exp - 1]){
ans[i][0] = 1 - ans[ind][0];
}
for(int i = 1; i <= N; i++){
int which = val(i, exp);
if(which != should){
if(which < should) ans[ind][i] = -(ans[ind][0] + 1);
else ans[ind][i] = -((1 - ans[ind][0]) + 1);
}else{
which = val(i, exp - 1);
ans[ind][i] = inds[exp-1][which];
}
}
build(inds[exp - 1][0], exp - 1, 0);
build(inds[exp - 1][1], exp - 1, 1);
build(inds[exp - 1][2], exp - 1, 2);
}
vector<vector<int>> devise_strategy(int n) {
N = n;
for(int i = 0; i < 23; i++) ans[i].resize(N+1);
ans[0][0] = 0;
int curr = 1;
for(int i = 7; i >= 1; i--){
inds[i].push_back(curr); curr++;
inds[i].push_back(curr); curr++;
inds[i].push_back(curr); curr++;
}
inds[0].push_back(curr);
build(0, 8, 0);
return ans;
}
// static constexpr int kNumPrisoners = 500;
// static void invalid_strategy(std::string message) {
// printf("%s\n", message.c_str());
// exit(0);
// }
// int main() {
// int N2;
// assert(1 == scanf("%d", &N2));
// // printf("here\n"); return 0;
// std::vector<std::vector<int>> strategy = devise_strategy(N2);
// // printf("here\n"); return 0;
// if (strategy.size() == 0) {
// invalid_strategy("s is an empty array");
// }
// int x = strategy.size() - 1;
// for (int i = 0; i <= x; ++i) {
// if (static_cast<int>(strategy[i].size()) != N2 + 1) {
// invalid_strategy("s[i] contains incorrect length");
// }
// if (strategy[i][0] < 0 || strategy[i][0] > 1) {
// invalid_strategy("First element of s[i] is non-binary");
// }
// for (int j = 1; j <= N2; ++j) {
// if (strategy[i][j] < -2 || strategy[i][j] > x) {
// invalid_strategy("s[i][j] contains incorrect value");
// }
// }
// }
// // printf("here\n"); return 0;
// FILE *log_file = fopen("log.txt","w");
// int A, B;
// while (1 == scanf("%d", &A) && A != -1) {
// assert(1 == scanf("%d", &B));
// bool answer = false;
// int whiteboard = 0;
// for (int i = 0; i < kNumPrisoners && !answer; ++i) {
// int check = strategy[whiteboard][0];
// whiteboard = strategy[whiteboard][check == 0 ? A : B];
// if (whiteboard < 0) {
// answer = true;
// printf("%c\n", "BA"[whiteboard + 2]);
// } else {
// if (i > 0) {
// fprintf(log_file, " ");
// }
// fprintf(log_file, "%d", whiteboard);
// }
// }
// if (!answer) {
// printf("X\n");
// }
// fprintf(log_file, "\n");
// fflush(log_file);
// }
// }
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