oj.uz

Submission #201811

# Submission time Handle Problem Language Result Execution time Memory
201811 2020-02-12T05:26:14 Z EntityIT Asceticism (JOI18_asceticism) C++14
100 / 100
 16 ms 1288 KB 
#include<bits/stdc++.h>

using namespace std;

#define all(x) (x).begin(), (x).end()
#define sz(x) ( (int)(x).size() )
using LL = long long;

const int mod = 1e9 + 7;
mt19937 rng( (uint32_t)chrono::steady_clock::now().time_since_epoch().count() );

struct Mint {
  int a;
  Mint(int _a = 0) : a(_a) {}
  friend ostream& operator << (ostream &out, const Mint &_) {
    out << _.a;
    return out;
  }

  bool operator == (const Mint &_) const { return a == _.a; }
  bool operator ! () const { return !a; }

  Mint operator + (const Mint &_) const {
    int ret = a + _.a;
    return ret < mod ? Mint(ret) : Mint(ret - mod);
  }
  Mint operator - (const Mint &_) const { return *this + Mint(mod - _.a); }
  Mint operator * (const Mint &_) const { return Mint( (int)( (LL)a * _.a % mod) ); }
  friend Mint& operator += (Mint &a, const Mint &b) { return a = a + b; }
  friend Mint& operator -= (Mint &a, const Mint &b) { return a = a - b; }
  friend Mint& operator *= (Mint &a, const Mint &b) { return a = a * b; }
  Mint& operator ++ () { return *this = *this + Mint(1); }
  Mint& operator -- () { return *this = *this - Mint(1); }

  template<class T> Mint binPow(T exp) const {
    Mint ret(1), c = *this;
    for (; exp; exp >>= 1, c *= c) if (exp & 1) ret *= c;
    return ret;
  }
};
vector<Mint> fact, invFact;
Mint binomial(int n, int k) { return fact[n] * invFact[k] * invFact[n - k]; }

int main() {
  ios_base::sync_with_stdio(0); cin.tie(0);

  #ifdef FourLeafClover
  freopen("input", "r", stdin);
  #endif // FourLeafCLover

  int n, k; cin >> n >> k;

  fact.assign(n + 2, Mint() );
  fact[0] = Mint(1); for (int i = 1; i < sz(fact); ++i) fact[i] = fact[i - 1] * Mint(i);
  invFact.assign(sz(fact), Mint() );
  invFact.back() = fact.back().binPow<int>(mod - 2);
  for (int i = sz(invFact) - 2; i >= 0; --i) invFact[i] = invFact[i + 1] * Mint(i + 1);

  Mint ans;
  for (int i = 0; i < k; ++i) {
    if (i & 1) ans -= binomial(n + 1, i) * Mint(k - i).binPow<int>(n);
    else ans += binomial(n + 1, i) * Mint(k - i).binPow<int>(n);
  }

  cout << ans << '\n';

  return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 504 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 6 ms 376 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 504 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 6 ms 376 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct
17 Correct 5 ms 376 KB Output is correct
18 Correct 6 ms 376 KB Output is correct
19 Correct 5 ms 376 KB Output is correct
20 Correct 5 ms 376 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 504 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 6 ms 376 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct
17 Correct 5 ms 376 KB Output is correct
18 Correct 6 ms 376 KB Output is correct
19 Correct 5 ms 376 KB Output is correct
20 Correct 5 ms 376 KB Output is correct
21 Correct 5 ms 376 KB Output is correct
22 Correct 5 ms 376 KB Output is correct
23 Correct 5 ms 376 KB Output is correct
24 Correct 5 ms 376 KB Output is correct
25 Correct 5 ms 376 KB Output is correct
26 Correct 5 ms 380 KB Output is correct
27 Correct 5 ms 376 KB Output is correct
28 Correct 5 ms 376 KB Output is correct
29 Correct 5 ms 376 KB Output is correct
30 Correct 5 ms 376 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 504 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 6 ms 376 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct
17 Correct 5 ms 376 KB Output is correct
18 Correct 6 ms 376 KB Output is correct
19 Correct 5 ms 376 KB Output is correct
20 Correct 5 ms 376 KB Output is correct
21 Correct 5 ms 376 KB Output is correct
22 Correct 5 ms 376 KB Output is correct
23 Correct 5 ms 376 KB Output is correct
24 Correct 5 ms 376 KB Output is correct
25 Correct 5 ms 376 KB Output is correct
26 Correct 5 ms 380 KB Output is correct
27 Correct 5 ms 376 KB Output is correct
28 Correct 5 ms 376 KB Output is correct
29 Correct 5 ms 376 KB Output is correct
30 Correct 5 ms 376 KB Output is correct
31 Correct 7 ms 1144 KB Output is correct
32 Correct 7 ms 1144 KB Output is correct
33 Correct 7 ms 1144 KB Output is correct
34 Correct 9 ms 1288 KB Output is correct
35 Correct 15 ms 1184 KB Output is correct
36 Correct 15 ms 1144 KB Output is correct
37 Correct 16 ms 1144 KB Output is correct
38 Correct 6 ms 504 KB Output is correct
39 Correct 9 ms 888 KB Output is correct
40 Correct 10 ms 1144 KB Output is correct