//#pragma GCC optimize ("O3")
//#pragma GCC target ("sse4")
#include <bits/stdc++.h>
using namespace std;
template<class T> using min_heap = priority_queue<T, vector<T>, greater<T>>;
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define F0R1(i, a) for (int i=1; i<=(a); i++)
#define FORd(i, a, b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i, a) for (int i = (a)-1; i >= 0; i--)
#define trav(a, x) for (auto& a : x)
#define MIN(a, b) a = min(a, b)
#define MAX(a, b) a = max(a, b)
#define INF 1000000010
#define LL_INF 4500000000000000000LL
#define LSOne(S) (S & (-S))
#define EPS 1e-9
#define pA first
#define pB second
#define mp make_pair
#define mt make_tuple
#define pb push_back
#define PI acos(-1.0)
// #define MOD (int)(2e+9+11)
#define MOD (int)(1e+9+7)
#define SET(vec, val, size) for (int i = 0; i < size; i++) vec[i] = val;
#define SET2D(arr, val, dim1, dim2) F0R(i, dim1) F0R(j, dim2) arr[i][j] = val;
#define SET3D(arr, val, dim1, dim2, dim3) F0R(i, dim1) F0R(j, dim2) F0R(k, dim3) arr[i][j][k] = val;
#define SET4D(arr, val, dim1, dim2, dim3, dim4) F0R(i, dim1) F0R(j, dim2) F0R(k, dim3) F0R(l, dim4) arr[i][j][k][l] = val;
#define lb lower_bound
#define ub upper_bound
#define sz(x) (int)x.size()
#define beg(x) x.begin()
#define en(x) x.end()
#define all(x) beg(x), en(x)
#define resz resize
#define SORT(vec) sort(all(vec))
#define RSORT(vec) sort(vec.rbegin(),vec.rend())
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
typedef pair<int, int> ii;
typedef pair<int, ii> iii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vl;
// @formatter:off
// Source: Benq (https://github.com/bqi343/USACO) [Modified]
namespace input {
template<class T> void re(complex<T>& x);
template<class T1, class T2> void re(pair<T1,T2>& p);
template<class T> void re(vector<T>& a);
template<class T, size_t SZ> void re(array<T,SZ>& a);
template<class T> void reA(T A[], int sz);
template<class T> void re(T& x) { cin >> x; }
void re(double& x) { string t; re(t); x = stod(t); }
void re(ld& x) { string t; re(t); x = stold(t); }
template<class Arg, class... Args> void re(Arg& first, Args&... rest) {
re(first); re(rest...);
}
template<class T1, class T2> void re(pair<T1,T2>& p) { re(p.pA,p.pB); }
template<class T> void re(vector<T>& a) { F0R(i,sz(a)) re(a[i]); }
template<class T, size_t SZ> void re(array<T,SZ>& a) { F0R(i,SZ) re(a[i]); }
template<class T> void reA(T A[], int sz) { F0R(i, sz) re(A[i]); }
void setupIO(const string &PROB = "") {
ios::sync_with_stdio(false);
cin.tie(nullptr);
if (PROB.length() != 0) {
ifstream infile(PROB + ".in");
if (infile.good()) {
freopen((PROB + ".in").c_str(), "r", stdin);
freopen((PROB + ".out").c_str(), "w", stdout);
}
}
}
}
using namespace input;
namespace output {
template<class T1, class T2> void prD(const pair<T1,T2>& x);
template<class T, size_t SZ> void prD(const array<T,SZ>& x);
template<class T> void prD(const vector<T>& x);
template<class T> void prD(const set<T>& x);
template<class T1, class T2> void prD(const map<T1,T2>& x);
template<class T1, class T2> void pr(const pair<T1,T2>& x);
template<class T, size_t SZ> void pr(const array<T,SZ>& x);
template<class T> void pr(const vector<T>& x);
template<class T> void pr(const set<T>& x);
template<class T1, class T2> void pr(const map<T1,T2>& x);
template<class T> void prD(const T& x) { cout << x; }
template<class Arg, class... Args> void prD(const Arg& first, const Args&... rest) {
prD(first); prD(rest...);
}
template<class T1, class T2> void prD(const pair<T1,T2>& x) {
prD("{",x.pA,", ",x.pB,"}");
}
template<class T> void prDContain(const T& x) {
prD("{");
bool fst = 1; for (const auto& a: x) prD(!fst?", ":"",a), fst = 0; // const needed for vector<bool>
prD("}");
}
template<class T, size_t SZ> void prD(const array<T,SZ>& x) { prDContain(x); }
template<class T> void prD(const vector<T>& x) { prDContain(x); }
template<class T> void prD(const set<T>& x) { prDContain(x); }
template<class T1, class T2> void prD(const map<T1,T2>& x) { prDContain(x); }
void psD() { prD("\n"); }
template<class Arg> void psD(const Arg& first) {
prD(first); psD(); // no space at end of line
}
template<class Arg, class... Args> void psD(const Arg& first, const Args&... rest) {
prD(first," "); psD(rest...); // print w/ spaces
}
template<class T> void pr(const T& x) { cout << x; }
template<class Arg, class... Args> void pr(const Arg& first, const Args&... rest) {
pr(first); pr(rest...);
}
template<class T1, class T2> void pr(const pair<T1,T2>& x) {
pr(x.pA, " ", x.pB);
}
template<class T> void prContain(const T& x) {
bool fst = 1; for (const auto& a: x) pr(!fst?" ":"",a), fst = 0; // const needed for vector<bool>
}
template<class T, size_t SZ> void pr(const array<T,SZ>& x) { prContain(x); }
template<class T> void pr(const vector<T>& x) { prContain(x); }
template<class T> void pr(const set<T>& x) { prContain(x); }
template<class T1, class T2> void pr(const map<T1,T2>& x) { prContain(x); }
void ps() { pr("\n"); }
template<class Arg> void ps(const Arg& first) {
pr(first); ps(); // no space at end of line
}
template<class Arg, class... Args> void ps(const Arg& first, const Args&... rest) {
pr(first," "); ps(rest...); // print w/ spaces
}
}
using namespace output;
// @formatter:on
/* ============================ */
int mod = 1e6+7;
int n, A[10000];
//int memo[1000][1000][2];
//ll dp(int mxDigit, int num, bool und) {
// if (num == n) return 1;
// if (memo[mxDigit][num][und] != -1) return memo[mxDigit][num][und];
// ll ans = 0;
// FOR(i, 1, mxDigit+2) {
// bool isUnd = und;
// if (i < A[num]) isUnd = true;
// if (!isUnd && i > A[num]) break;
//
// ans += dp(max(mxDigit, i), num + 1, isUnd);
// ans %= mod;
// }
// return memo[mxDigit][num][und] = ans;
//}
int dp[10500][2][2];
int main() {
setupIO();
re(n); reA(A, n);
int mx[n]; mx[0] = 0; FOR(i, 1, n) mx[i] = max(mx[i - 1], A[i - 1]);
F0Rd(num, n+1) {
int cur = num % 2, prv = (num + 1) % 2;
F0R(mxDigit, num + 1) {
F0R(und, 2) {
if (num == n) {
dp[mxDigit][und][cur] = 1;
continue;
}
if (und) {
dp[mxDigit][und][cur] = ((ll)dp[mxDigit][und][prv]*mxDigit + dp[mxDigit + 1][und][prv]) % mod;
} else {
if (mxDigit != mx[num]) continue;
dp[mxDigit][und][cur] = (ll)dp[mxDigit][true][prv]*min(mxDigit, A[num] - 1) % mod;
if (A[num] <= mxDigit) {
dp[mxDigit][und][cur] += dp[max(A[num], mxDigit)][false][prv];
} else if (mxDigit + 1 <= A[num]) {
dp[mxDigit][und][cur] += dp[mxDigit + 1][(mxDigit + 1) < A[num]][prv];
}
dp[mxDigit][und][cur] %= mod;
}
}
}
}
ps(dp[0][0][0]);
return 0;
}
Compilation message
teams.cpp: In function 'void input::setupIO(const string&)':
teams.cpp:84:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
freopen((PROB + ".in").c_str(), "r", stdin);
~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
teams.cpp:85:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
freopen((PROB + ".out").c_str(), "w", stdout);
~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
Output is correct |
| 2 |
Correct |
2 ms |
376 KB |
Output is correct |
| 3 |
Correct |
2 ms |
376 KB |
Output is correct |
| 4 |
Correct |
2 ms |
376 KB |
Output is correct |
| 5 |
Correct |
2 ms |
376 KB |
Output is correct |
| 6 |
Correct |
2 ms |
376 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
Output is correct |
| 2 |
Correct |
2 ms |
376 KB |
Output is correct |
| 3 |
Correct |
2 ms |
376 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
Output is correct |
| 2 |
Correct |
2 ms |
376 KB |
Output is correct |
| 3 |
Correct |
2 ms |
376 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
Output is correct |
| 2 |
Correct |
2 ms |
376 KB |
Output is correct |
| 3 |
Correct |
2 ms |
376 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
376 KB |
Output is correct |
| 2 |
Correct |
4 ms |
380 KB |
Output is correct |
| 3 |
Correct |
4 ms |
380 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
10 ms |
376 KB |
Output is correct |
| 2 |
Correct |
10 ms |
376 KB |
Output is correct |
| 3 |
Correct |
10 ms |
376 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
774 ms |
632 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
199 ms |
376 KB |
Output is correct |
| 2 |
Correct |
209 ms |
504 KB |
Output is correct |
| 3 |
Correct |
203 ms |
604 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
796 ms |
632 KB |
Output is correct |
| 2 |
Correct |
788 ms |
760 KB |
Output is correct |
| 3 |
Correct |
792 ms |
760 KB |
Output is correct |
