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;
//#pragma GCC optimize ("O3")
//#pragma GCC target ("sse4")
#ifndef LOCAL
#define cerr if(false) cerr
#endif
#define endl "\n"
#define out(x) "[" << #x << "=" << x << "]"
struct debug {
debug() { cerr << "DEBUGGER: " << endl; }
~debug() { cerr << endl << "DEBUGGER_END " << endl; }
template<class T>
debug& operator <<(const T x) {
cerr << x << " ";
return *this;
}
};
template<class T> inline ostream &operator <<(ostream &out, const vector<T> &x) {
for(const auto &it : x) {
out << it << " ";
}
return out;
}
template<class T, class T2> inline ostream &operator <<(ostream &out, const pair<T, T2> &x) {
return out << x.first << " " << x.second;
}
template<class T, class T2> inline bool chkmax(T &x, const T2 &y) { return x < y ? x = y, 1 : 0; }
template<class T, class T2> inline bool chkmin(T &x, const T2 &y) { return x > y ? x = y, 1 : 0; }
typedef long long ll;
const ll mod = 1e9 + 7;
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~//
const ll MAX_N = 2e4 + 10;
ll dp[2][MAX_N];
ll n;
ll arr[MAX_N];
signed main() {
#ifndef LOCAL
ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
#endif
cin >> n;
for(ll i = 1; i <= n; i ++) {
cin >> arr[i];
}
ll mx = 0;
for(ll i = 0; i < n; i ++) {
ll curr = i & 1;
ll nxt = curr ^ 1;
for(ll j = 0; j < MAX_N; j ++) {
dp[nxt][j] = 0;
}
for(ll j = 0; j < MAX_N - 1; j ++) {
dp[nxt][j] += (dp[curr][j] * j) % mod;
dp[nxt][j] %= mod;
dp[nxt][j + 1] += dp[curr][j];
dp[nxt][j + 1] %= mod;
}
assert(mx + 1 == arr[i + 1] || mx >= arr[i + 1]);
dp[nxt][mx] += arr[i + 1] - 1;
dp[nxt][mx] %= mod;
chkmax(mx, arr[i + 1]);
continue;
cout << i << endl;
for(ll i = 0; i <= n; i ++) {
cout << dp[curr][i] << " ";
}
cout << endl;
}
ll ret = 1;
for(ll i = 0; i < MAX_N; i ++) {
ret = (ret + dp[n & 1][i]) % mod;
}
cout << ret << endl;
return 0;
}
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