#include <bits/stdc++.h>
using namespace std;
// macros
typedef long long ll;
typedef long double ld;
typedef pair<int, int> ii;
typedef pair<ll, ll> lll;
typedef tuple<int, int, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vll;
typedef vector<lll> vlll;
#define REP(a,b,c) for(int a=int(b); a<int(c); a++)
#define RE(a,c) REP(a,0,c)
#define RE1(a,c) REP(a,1,c+1)
#define REI(a,b,c) REP(a,b,c+1)
#define REV(a,b,c) for(int a=int(c-1); a>=int(b); a--)
#define FOR(a,b) for(auto& a : b)
#define all(a) a.begin(), a.end()
#define INF 1e9
#define EPS 1e-9
#define pb push_back
#define popb pop_back
#define fi first
#define se second
#define sz size()
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
// input
template<class T> void IN(T& x) {cin >> x;}
template<class H, class... T> void IN(H& h, T&... t) {IN(h); IN(t...); }
// output
template<class T1, class T2> void OUT(const pair<T1,T2>& x);
template<class T> void OUT(const T& x) {cout << x;}
template<class H, class... T> void OUT(const H& h, const T&... t) {OUT(h); OUT(t...); }
template<class T1, class T2> void OUT(const pair<T1,T2>& x) {OUT(x.fi,' ',x.se);}
template<class... T> void OUTL(const T&... t) {OUT(t..., "\n"); }
template<class H> void OUTLS(const H& h) {OUTL(h); }
template<class H, class... T> void OUTLS(const H& h, const T&... t) {OUT(h,' '); OUTLS(t...); }
//===================//
// Added libraries //
//===================//
// mod library
ll MOD=1e6+7;
inline ll mod(ll x_) {
return (x_)%MOD;
}
ll modpow(ll x_, ll N_) {
if(N_ == 0) return 1;
ll a = modpow(x_,N_/2);
a = (a*a)%MOD;
if(N_%2) a = (a*x_)%MOD;
return a;
}
ll inv(ll x_) {
return modpow(x_, MOD-2);
}
class mi {
public:
mi(ll v=0) {value = v;}
mi operator+ (ll rs) {return mod(value+rs);}
mi operator- (ll rs) {return mod(value-rs+MOD);}
mi operator* (ll rs) {return mod(value*rs);}
mi operator/ (ll rs) {return mod(value*inv(rs));}
mi& operator+=(ll rs) {*this = (*this)+rs; return *this;}
mi& operator-=(ll rs) {*this = (*this)-rs; return *this;}
mi& operator*=(ll rs) {*this = (*this)*rs; return *this;}
mi& operator/=(ll rs) {*this = (*this)/rs; return *this;}
operator ll&() {return value;}
ll value;
};
typedef vector<mi> vmi;
//===================//
//end added libraries//
//===================//
void program();
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
program();
}
//===================//
// begin program //
//===================//
const int MX = 1100;
int n;
int a[MX];
int mx[MX];
mi dp[MX][MX];
mi get(int i, int j) { // length i, with j lower options
if(dp[i][j] != -1) return dp[i][j];
mi ans = get(i-1, j)*mi(j) + get(i-1, j+1);
return dp[i][j] = ans;
}
void program() {
IN(n);
RE(i,n) IN(a[i]);
mx[0] = 0;
RE(i,n) mx[i+1] = max(mx[i], a[i]);
RE(i,n+2) RE(j,n+2) dp[i][j] = -1;
RE(j,n+2) dp[0][j] = 1;
mi ans = 0;
RE(i,n) {
int changes = a[i]-1;
ans += mi(changes)*get(n-i-1,mx[i]);
}
ans += 1ll;
OUTL((ll)ans);
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
9856 KB |
Output is correct |
2 |
Correct |
6 ms |
9856 KB |
Output is correct |
3 |
Correct |
6 ms |
9856 KB |
Output is correct |
4 |
Correct |
5 ms |
9856 KB |
Output is correct |
5 |
Correct |
6 ms |
9856 KB |
Output is correct |
6 |
Correct |
5 ms |
9856 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
9856 KB |
Output is correct |
2 |
Correct |
6 ms |
9856 KB |
Output is correct |
3 |
Correct |
6 ms |
9856 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
9856 KB |
Output is correct |
2 |
Correct |
6 ms |
9856 KB |
Output is correct |
3 |
Correct |
6 ms |
9856 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
9856 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
9856 KB |
Output is correct |
2 |
Correct |
6 ms |
9856 KB |
Output is correct |
3 |
Correct |
6 ms |
9856 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
9856 KB |
Output is correct |
2 |
Correct |
9 ms |
9856 KB |
Output is correct |
3 |
Correct |
9 ms |
9856 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
9856 KB |
Output is correct |
2 |
Correct |
18 ms |
9856 KB |
Output is correct |
3 |
Correct |
17 ms |
9856 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
33 ms |
19704 KB |
Execution killed with signal 11 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
6 ms |
9856 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
6 ms |
9856 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |