This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
Idea:
- http://s3-ap-northeast-1.amazonaws.com/data.cms.ioi-jp.org/open-2018/2018-open-xylophone-sol-en.pdf
*/
#include "xylophone.h"
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define INF (int) (2 * 1e9)
#define MOD (1000 * 1000 * 1000 + 7)
#define maxn 5111
typedef long long ll;
typedef long double ld;
typedef pair<ll, ll> pll;
int ret[maxn];
bool used[maxn];
void solve(int N){
int l = 2, d = N, max_ind = -1;
while(l <= d){
int mid = (l + d) / 2;
int val = query(1, mid);
if(val == N - 1){
max_ind = mid;
d = mid - 1;
}
else
l = mid + 1;
}
ret[max_ind] = N;
used[N] = 1;
if(max_ind + 1 <= N){
int cur = query(max_ind, max_ind + 1);
ret[max_ind + 1] = N - cur;
used[N - cur] = 1;
}
if(max_ind - 1 >= 1){
int cur = query(max_ind - 1, max_ind);
ret[max_ind - 1] = N - cur;
used[N - cur] = 1;
}
for(int i = max_ind + 2; i <= N; i++){
int diff = query(i - 1, i);
int opt1 = ret[i - 1] + diff;
int opt2 = ret[i - 1] - diff;
if(opt1 < 1 || opt1 > N || used[opt1]){
ret[i] = opt2;
used[ret[i]] = 1;
continue;
}
if(opt2 < 1 || opt2 > N || used[opt2]){
ret[i] = opt1;
used[ret[i]] = 1;
continue;
}
int updown = query(i - 2, i);
if(max(ret[i - 2], max(ret[i - 1], opt1)) - min(ret[i - 2], min(ret[i - 1], opt1)) == updown){
ret[i] = opt1;
}
else
ret[i] = opt2;
used[ret[i]] = 1;
}
for(int i = max_ind - 2; i >= 1; i--){
int diff = query(i, i + 1);
int opt1 = ret[i + 1] + diff;
int opt2 = ret[i + 1] - diff;
if(opt1 < 1 || opt1 > N || used[opt1]){
ret[i] = opt2;
used[ret[i]] = 1;
continue;
}
if(opt2 < 1 || opt2 > N || used[opt2]){
ret[i] = opt1;
used[ret[i]] = 1;
continue;
}
int updown = query(i, i + 2);
if(max(ret[i + 2], max(ret[i + 1], opt1)) - min(ret[i + 2], min(ret[i + 1], opt1)) == updown){
ret[i] = opt1;
}
else
ret[i] = opt2;
used[ret[i]] = 1;
}
for(int i = 1; i <= N; i++){
answer(i, ret[i]);
}
}
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