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 <iostream>
#include <vector>
#include "gondola.h"
using namespace std;
using ll = long long;
int valid(int n, int g[]) {
vector <bool> volt(1e6 + 1, false);
for (int i = 0; i < n; i++) {
if (volt[g[i]]) return 0;
volt[g[i]] = true;
}
int p = 0;
for (int i = 0; i < n; i++) if (g[i] <= n) p = (g[i] - i + n) % n;
for (int i = 0; i < n; i++) if (g[i] <= n && (g[i] - i + n) % n != p) return 0;
return 1;
}
int replacement(int n, int g[], int r[]) {
int p = 0, cnt = 0, mx = 0;
vector <int> rev(1e6 + 1, -1);
vector <int> cur(n, 0);
for (int i = 0; i < n; i++) {
if (g[i] <= n) { p = (g[i] - i + n) % n; cnt++; }
mx = max(mx, g[i]);
rev[g[i]] = i;
}
for (int i = 0; i < n; i++) cur[i] = (i + p) % n;
cur[(n - p) % n] = n;
for (int i = n + 1; i <= mx; i++) {
if (rev[i] == -1) { r[i - n - 1] = cur[rev[mx]]; cur[rev[mx]] = i; }
else { r[i - n - 1] = cur[rev[i]]; cur[rev[i]] = i; }
}
return mx - n;
}
int countReplacement(int n, int g[]) {
if (!valid(n, g)) return 0;
int cnt = 0, mx = 0;
ll ans = 1, MOD = 1e9 + 9;
vector <int> rev(1e6 + 1, -1);
for (int i = 0; i < n; i++) {
if (g[i] <= n) cnt++;
mx = max(mx, g[i]);
rev[g[i]] = i;
}
if (cnt == 0) ans = n;
for (int i = n + 1; i <= mx; i++) {
if (rev[i] == -1) { ans *= (n - cnt); ans %= MOD; }
else cnt++;
}
return ans;
}
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