This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
doing virtual contest
start: 10:00
finish: 14:00
*/
#include <bits/stdc++.h>
using namespace std;
int query(int s, int t);
void answer(int i, int a);
#ifndef EVAL
const int N_ = 5007;
int n_;
int a_[N_], ans_[N_];
int query(int s, int t) {
int mn = n_, mx = 1;
for (int i = s; i <= t; ++i) {
mn = min(mn, a_[i]);
mx = max(mx, a_[i]);
}
return mx - mn;
}
void answer(int i, int a) {
if (i < 1 || i > n_) {
cout << "incorrect index " << i << endl;
exit(0);
}
if (ans_[i] != -1) {
cout << i << " used twice" << endl;
exit(0);
}
ans_[i] = a;
}
void check_ans() {
bool corr = 1;
for (int i = 1; i <= n_; ++i) corr &= a_[i] == ans_[i];
if (!corr) {
cout << "incorrect" << endl;
for (int i = 1; i <= n_; ++i) cout << a_[i] << " ";
cout << endl;
for (int i = 1; i <= n_; ++i) cout << ans_[i] << " ";
cout << endl;
} else {
cout << "correct\n";
}
}
void init(int n, vector<int> a) {
n_ = n;
for (int i = 1; i <= n; ++i) {
a_[i] = a[i - 1];
ans_[i] = -1;
}
}
#endif
void solve(int n) {
vector<int> a(n + 1, -1);
a[1] = 0;
if (2 <= n) a[2] = query(1, 2);
for (int i = 3; i <= n; ++i) {
int x = a[i - 2], y = a[i - 1];
int d = query(i - 1, i);
if (abs(x - y) + d == query(i - 2, i)) {
a[i] = y < x ? y - d : y + d;
} else {
a[i] = y < x ? y + d : y - d;
}
}
int mn = (int)1e9;
for (int i = 1; i <= n; ++i) mn = min(mn, a[i]);
for (int i = 1; i <= n; ++i) a[i] += -mn + 1;
int pos1 = -1, posn = -1;
for (int i = 1; i <= n; ++i) {
if (a[i] == 1) pos1 = i;
if (a[i] == n) posn = i;
}
if (pos1 > posn) {
for (int i = 1; i <= n; ++i) a[i] = n - a[i] + 1;
}
for (int i = 1; i <= n; ++i) answer(i, a[i]);
}
#ifndef EVAL
int main() {
freopen("input.txt", "r", stdin);
ios::sync_with_stdio(false);
cin.tie(0);
int n;
cin >> n;
vector<int> a(n);
for (int i = 0; i < n; ++i) cin >> a[i];
init(n, a);
solve(n);
check_ans();
return 0;
}
#endif
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