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>
using namespace std;
// ordered set whith s.order_of_key(x) method, which returns rank of element x in set s
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<int, null_type, less_equal<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;
*/
// pair printing
template <class T, class U>
ostream& operator<<(ostream& out, const pair<T, U> &par) {out << "(" << par.first << "; " << par.second << ")"; return out;}
// set printing
template <class T>
ostream& operator<<(ostream& out, const set<T> &cont) { out << "{"; for(const auto &x:cont) out << x << ", "; out << "}"; return out; }
// map printing
template <class T, class U>
ostream& operator<<(ostream& out, const map<T, U> &cont) {out << "{"; for(const auto &x:cont) out << x << ", "; out << "}"; return out; }
// unordered_set printing
template <class T>
ostream& operator<<(ostream& out, const unordered_set<T> &cont) {out << "{";for(const auto &x:cont) out << x << ", ";out << "}";return out;}
// unordered_map printing
template <class T, class U>
ostream& operator<<(ostream& out, const unordered_map<T, U> &cont) {out << "{";for(const auto &x:cont) out << x << ", ";out << "}";return out;}
// vector printing
template<class T>
ostream& operator<<(ostream& out, const vector<T> &cont){ out << "["; for (const auto &x:cont) out << x << ", "; out << "]"; return out;}
#define print(x) cout << (x) << endl;
#define dmp(x) cerr << #x << " = " << x << endl
#define dmpn(x) cerr << #x << " = " << x << "; "
#define dmpl(x) cerr << "Line " << __LINE__ << ": " << #x << " = " << x << endl
#define int long long
using ll = long long;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
#define pb push_back
#define ff first
#define ss second
#define all(x) begin(x), end(x)
#define sz(x) (int)x.size()
#define contains(s,x) ((s).find(x) != (s).end())
const int MOD = 1e6 + 7;
/* Returns a^b % MOD. O(log(B)) */
int fast_pow(int a, int b) {
int ans = 1;
while (b > 0) {
if (b % 2 == 1) ans = ((ll)a * (ll)ans) % MOD;
a = ((ll)a * (ll)a) % MOD;
b /= 2;
}
return ans;
}
int get_smaller_cnt(vector<int> &a, int l, int r, int alph_size) {
if (l > r) return 0;
if (r - l == 0) return a[l] - 1;
int cnt = ((a[l] - 1) * fast_pow(alph_size, r - l)) % MOD;
return (cnt + get_smaller_cnt(a, l + 1, r, alph_size)) % MOD;
}
void solve() {
int N;
cin >> N;
vector<int> a(N), b;
for (int i = 0; i < N; i++) cin >> a[i];
vector<int> first_occs(N + 1, -1);
for (int i = 0; i < N; i++) if (first_occs[a[i]] == -1) first_occs[a[i]] = i;
int ans = 1;
vector<int> dp(N + 1, 0), prev_dp(N + 1, 1);
for (int k = 2; k <= N && first_occs[k] != -1; k++) {
for (int i = k; i <= N; i++) {
dp[i] = (prev_dp[i - 1] + (dp[i - 1] * k) % MOD) % MOD;
}
// dmpn(k); dmp(dp);
prev_dp = dp;
ans = (ans + dp[N]) % MOD;
dp.assign(N + 1, 0);
}
cout << ans << endl;
}
int32_t main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int t = 1;
// cin >> t;
while (t--) {
solve();
}
}
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