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 "xylophone.h"
#include <bits/stdc++.h>
using namespace std;
using LL = long long;
const int MOD = (int)1e9 + 7;
int A[5004];
int val[5004][3];
int ans[5004];
map<int, int> chk;
void out(int N){
for(int i = 1; i <= N; ++i){
answer(i, ans[i]);
}
}
void solve(int N) {
for(int i = 1; i <= N; ++i){
for(int j = i + 1; j <= min(N, i + 2); ++j){
val[i][j - i] = query(i, j);
}
}
ans[2] = val[1][1];
int low = MOD;
for(int i = 3; i <= N; ++i){
int bu = (ans[i - 1] - ans[i - 2]) / abs(ans[i - 1] - ans[i - 2]);
if(val[i - 2][1] + val[i - 1][1] != val[i - 2][2]){
bu *= -1;
}
ans[i] = ans[i - 1] + val[i - 1][1] * bu;
}
for(int i = 1; i <= N; ++i){
low = min(low, ans[i]);
}
int cf = 1;
for(int i = 1; i <= N; ++i){
ans[i] += -low + 1;
if(ans[i] < 1 || ans[i] > N || chk[ans[i]]){
cf = 0;
break;
}
chk[ans[i]] = 1;
}
if(cf){
for(int i = 1; i <= N; ++i){
if(ans[i] == 1){
out(N);
return;
}
if(ans[i] == N){
break;
}
}
}
ans[1] = 0;
ans[2] = -val[1][1];
low = MOD;
for(int i = 3; i <= N; ++i){
int bu = (ans[i - 1] - ans[i - 2]) / abs(ans[i - 1] - ans[i - 2]);
if(val[i - 2][1] + val[i - 1][1] != val[i - 2][2]){
bu *= -1;
}
ans[i] = ans[i - 1] + val[i - 1][1] * bu;
}
for(int i = 1; i <= N; ++i){
low = min(low, ans[i]);
}
for(int i = 1; i <= N; ++i){
ans[i] += -low + 1;
}
out(N);
}
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