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 "gondola.h"
using namespace std;
#define ll long long
#define ld long double
#define ull unsigned long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define fi first
#define se second
const int N = 3e5 + 5;
const int mod = 1e9 + 7;
// int gondolaSequence[100001];
// int replacementSequence[250001];
int ans[N];
set<int> s;
ll binpow(ll x, ll y) {
if (y == 0) return 1;
ll res = binpow(x, y / 2);
res = (res * res) % mod;
if (y % 2) res = (res * x) % mod;
return res;
}
int valid(int n, int inputSeq[]) {
int id1 = 0, id2 = 0;
for (int i = 0; i < n; i++) {
if (s.count(inputSeq[i])) return 0;
s.insert(inputSeq[i]);
}
for (int i = 0; i < n; i++) {
if (inputSeq[i] <= n) {
id1 = inputSeq[i];
id2 = i;
break;
}
}
if (id1 == 0) return 1;
id2 -= id1 - 1;
if (id2 < 0) id2 += n;
for (int i = id2; i < id2 + n; i++) {
if (inputSeq[i % n] > n) continue;
if (i - id2 != inputSeq[i % n] - 1) return 0;
}
return 1;
}
//----------------------
int replacement(int n, int gondolaSeq[], int replacementSeq[]) {
int id1 = 1, id2 = 0;
for (int i = 0; i < n; i++) {
if (gondolaSeq[i] <= n) {
id1 = gondolaSeq[i];
id2 = i;
break;
}
}
id2 -= id1 - 1;
if (id2 < 0) id2 += n;
int len = 0, id3 = -1, mx = 0;
for (int i = 0; i < n; i++) {
if (gondolaSeq[i] <= n) continue;
mx = max(mx, gondolaSeq[i]);
if (gondolaSeq[i] == mx) id3 = i;
ans[gondolaSeq[i]] = ((i + n - id2) % n) + 1;
}
if (id3 == -1) return 0;
ans[gondolaSeq[id3]] = 0;
id3 = ((id3 + n - id2) % n) + 1;
int ans2 = id3, target = n + 1;
while (target <= mx) {
if (ans[target] == 0) {
replacementSeq[len] = ans2;
ans2 = target;
}
else replacementSeq[len] = ans[target];
len++, target++;
}
return len;
}
//----------------------
int countReplacement(int n, int inputSeq[]) {
if (!valid(n, inputSeq)) return 0;
vector<int> v;
for (int i = 0; i < n; i++) if (inputSeq[i] > n) v.push_back(inputSeq[i]);
sort(v.begin(), v.end());
ll answ = 1, cnt = (int)v.size(), tmp = n + 1;
if (cnt == n) answ = n;
for (auto x : v) {
answ *= binpow(cnt, x - tmp);
answ %= mod;
tmp = x + 1;
cnt--;
}
return answ;
}
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