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Submission #128244

# Submission time Handle Problem Language Result Execution time Memory
128244 2019-07-10T15:01:00 Z RockyB Asceticism (JOI18_asceticism) C++17
100 / 100
 42 ms 1144 KB 
#include <bits/stdc++.h>

#define f first
#define s second

#define pb push_back
#define pp pop_back

#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()

#define rep(a, b, c) for (int a = (b); (a) <= (c); ++a)
#define per(a, b, c) for (int a = (b); (a) >= (c); --a) 

#define nl '\n'
#define ioi exit(0);

using namespace std;

typedef long long ll;

const int MAX_N = (int)1e5 + 7;
const int mod = (int)1e9 + 7;


int n, k;


int f[MAX_N], rv[MAX_N];

int bp(int x, int y) {
  int res = 1;
  while (y) {
    if (y & 1) res = res * 1ll * x % mod;
    x = x * 1ll * x % mod, y >>= 1;
  }
  return res;
}

int cnk(int x, int y) {
  return ((f[x] * 1ll * rv[x - y]) % mod) * 1ll * rv[y] % mod;
}
int main() {
  #ifdef IOI
    freopen ("in.txt", "r", stdin);
  #endif
  cin >> n >> k;
  /* rep(i, 0, n + 1) {
    c[i][0] = 1;
    rep(j, 1, i) {
      c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod;
    }
  } */
  f[0] = rv[0] = 1;
  rep(i, 1, n + 1) {
    f[i] = f[i - 1] * 1ll * i % mod;
    rv[i] = bp(f[i], mod - 2);
  }

  int ans = 0;
  k--;
  rep(i, 0, k) {
    int x = bp(-1, i) * 1ll * cnk(n + 1, i) % mod;
    x = x * 1ll * bp(k - i + 1, n) % mod;
    ans += x;
    ans %= mod;
    ans += mod;
    ans %= mod;
  }
  cout << ans;
    //cout << dp[n][k];
  ioi
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 256 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
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 256 KB Output is correct
9 Correct 2 ms 256 KB Output is correct
10 Correct 5 ms 376 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 256 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
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 256 KB Output is correct
9 Correct 2 ms 256 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 3 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 396 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 3 ms 376 KB Output is correct
18 Correct 3 ms 376 KB Output is correct
19 Correct 3 ms 376 KB Output is correct
20 Correct 2 ms 256 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 256 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
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 256 KB Output is correct
9 Correct 2 ms 256 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 3 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 396 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 3 ms 376 KB Output is correct
18 Correct 3 ms 376 KB Output is correct
19 Correct 3 ms 376 KB Output is correct
20 Correct 2 ms 256 KB Output is correct
21 Correct 2 ms 424 KB Output is correct
22 Correct 2 ms 380 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 3 ms 376 KB Output is correct
27 Correct 3 ms 380 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 2 ms 376 KB Output is correct
30 Correct 2 ms 376 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 256 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
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 256 KB Output is correct
9 Correct 2 ms 256 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 3 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 396 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 3 ms 376 KB Output is correct
18 Correct 3 ms 376 KB Output is correct
19 Correct 3 ms 376 KB Output is correct
20 Correct 2 ms 256 KB Output is correct
21 Correct 2 ms 424 KB Output is correct
22 Correct 2 ms 380 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 3 ms 376 KB Output is correct
27 Correct 3 ms 380 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 2 ms 376 KB Output is correct
30 Correct 2 ms 376 KB Output is correct
31 Correct 24 ms 1144 KB Output is correct
32 Correct 24 ms 1144 KB Output is correct
33 Correct 25 ms 1120 KB Output is correct
34 Correct 27 ms 1144 KB Output is correct
35 Correct 41 ms 1144 KB Output is correct
36 Correct 42 ms 1144 KB Output is correct
37 Correct 42 ms 1144 KB Output is correct
38 Correct 8 ms 376 KB Output is correct
39 Correct 25 ms 888 KB Output is correct
40 Correct 32 ms 1144 KB Output is correct