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Submission #530885

# Submission time Handle Problem Language Result Execution time Memory
530885 2022-02-27T04:30:45 Z cpp219 Asceticism (JOI18_asceticism) C++17
100 / 100
 23 ms 1104 KB 
#include<bits/stdc++.h>
#define ll long long
#define ld long double
#define fs first
#define sc second
#define debug(y) cout<<y,exit(0)
using namespace std;
typedef pair<ll,ll> LL;
const ll N = 1e5 + 9;
const ll mod = 1e9 + 7;
const ll base = 31;

ll n,k,fac[N],ans,sum;

ll bpow(ll a,ll b){
    ll res = 1;
    while(b){
        if (b & 1) res = (res*a)%mod;
        a = (a*a)%mod; b >>= 1;
    }
    return res;
}

ll C(ll k,ll n){
    ll ts = fac[n],ms = fac[k] * fac[n - k]; ms %= mod;
    return (ts * bpow(ms,mod - 2))%mod;
}

int main(){
    ios_base::sync_with_stdio(NULL); cin.tie(0); cout.tie(0);
    #define task "tst"
    if (fopen(task".inp","r")){
        freopen(task".inp","r",stdin);
        //freopen(task".out","w",stdout);
    }
    cin>>n>>k; fac[0] = 1;
    for (ll i = 1;i < N;i++) fac[i] = (fac[i - 1] * i)%mod; //debug(C(2,4));
    for (ll i = 0;i <= k;i++){
        sum = (bpow(k - i,n) * C(i, n+1)) % mod; //debug(C(i,n + 1));
        if(i&1) ans = (ans -  sum + mod) % mod;
        else ans = (ans + sum) % mod;
    }
    debug(ans);
}

/* stuff you should look for
	* int overflow, array bounds
	* special cases (n=1?)
	* do smth instead of nothing and stay organized
	* WRITE STUFF DOWN
	* DON'T GET STUCK ON ONE APPROACH
*/

Compilation message

asceticism.cpp: In function 'int main()':
asceticism.cpp:33:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   33 |         freopen(task".inp","r",stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB Output is correct
2 Correct 1 ms 1096 KB Output is correct
3 Correct 2 ms 1088 KB Output is correct
4 Correct 1 ms 1100 KB Output is correct
5 Correct 1 ms 1100 KB Output is correct
6 Correct 1 ms 1100 KB Output is correct
7 Correct 2 ms 1100 KB Output is correct
8 Correct 2 ms 1100 KB Output is correct
9 Correct 2 ms 1092 KB Output is correct
10 Correct 2 ms 1100 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB Output is correct
2 Correct 1 ms 1096 KB Output is correct
3 Correct 2 ms 1088 KB Output is correct
4 Correct 1 ms 1100 KB Output is correct
5 Correct 1 ms 1100 KB Output is correct
6 Correct 1 ms 1100 KB Output is correct
7 Correct 2 ms 1100 KB Output is correct
8 Correct 2 ms 1100 KB Output is correct
9 Correct 2 ms 1092 KB Output is correct
10 Correct 2 ms 1100 KB Output is correct
11 Correct 2 ms 1100 KB Output is correct
12 Correct 1 ms 1100 KB Output is correct
13 Correct 1 ms 1100 KB Output is correct
14 Correct 1 ms 1100 KB Output is correct
15 Correct 2 ms 1088 KB Output is correct
16 Correct 1 ms 1100 KB Output is correct
17 Correct 2 ms 1092 KB Output is correct
18 Correct 2 ms 1100 KB Output is correct
19 Correct 1 ms 1100 KB Output is correct
20 Correct 2 ms 1100 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB Output is correct
2 Correct 1 ms 1096 KB Output is correct
3 Correct 2 ms 1088 KB Output is correct
4 Correct 1 ms 1100 KB Output is correct
5 Correct 1 ms 1100 KB Output is correct
6 Correct 1 ms 1100 KB Output is correct
7 Correct 2 ms 1100 KB Output is correct
8 Correct 2 ms 1100 KB Output is correct
9 Correct 2 ms 1092 KB Output is correct
10 Correct 2 ms 1100 KB Output is correct
11 Correct 2 ms 1100 KB Output is correct
12 Correct 1 ms 1100 KB Output is correct
13 Correct 1 ms 1100 KB Output is correct
14 Correct 1 ms 1100 KB Output is correct
15 Correct 2 ms 1088 KB Output is correct
16 Correct 1 ms 1100 KB Output is correct
17 Correct 2 ms 1092 KB Output is correct
18 Correct 2 ms 1100 KB Output is correct
19 Correct 1 ms 1100 KB Output is correct
20 Correct 2 ms 1100 KB Output is correct
21 Correct 1 ms 1100 KB Output is correct
22 Correct 2 ms 1100 KB Output is correct
23 Correct 2 ms 1100 KB Output is correct
24 Correct 2 ms 1096 KB Output is correct
25 Correct 2 ms 1100 KB Output is correct
26 Correct 2 ms 1100 KB Output is correct
27 Correct 2 ms 1100 KB Output is correct
28 Correct 1 ms 1100 KB Output is correct
29 Correct 1 ms 1100 KB Output is correct
30 Correct 2 ms 1100 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB Output is correct
2 Correct 1 ms 1096 KB Output is correct
3 Correct 2 ms 1088 KB Output is correct
4 Correct 1 ms 1100 KB Output is correct
5 Correct 1 ms 1100 KB Output is correct
6 Correct 1 ms 1100 KB Output is correct
7 Correct 2 ms 1100 KB Output is correct
8 Correct 2 ms 1100 KB Output is correct
9 Correct 2 ms 1092 KB Output is correct
10 Correct 2 ms 1100 KB Output is correct
11 Correct 2 ms 1100 KB Output is correct
12 Correct 1 ms 1100 KB Output is correct
13 Correct 1 ms 1100 KB Output is correct
14 Correct 1 ms 1100 KB Output is correct
15 Correct 2 ms 1088 KB Output is correct
16 Correct 1 ms 1100 KB Output is correct
17 Correct 2 ms 1092 KB Output is correct
18 Correct 2 ms 1100 KB Output is correct
19 Correct 1 ms 1100 KB Output is correct
20 Correct 2 ms 1100 KB Output is correct
21 Correct 1 ms 1100 KB Output is correct
22 Correct 2 ms 1100 KB Output is correct
23 Correct 2 ms 1100 KB Output is correct
24 Correct 2 ms 1096 KB Output is correct
25 Correct 2 ms 1100 KB Output is correct
26 Correct 2 ms 1100 KB Output is correct
27 Correct 2 ms 1100 KB Output is correct
28 Correct 1 ms 1100 KB Output is correct
29 Correct 1 ms 1100 KB Output is correct
30 Correct 2 ms 1100 KB Output is correct
31 Correct 1 ms 1100 KB Output is correct
32 Correct 2 ms 1088 KB Output is correct
33 Correct 3 ms 1100 KB Output is correct
34 Correct 5 ms 1100 KB Output is correct
35 Correct 20 ms 1072 KB Output is correct
36 Correct 23 ms 1100 KB Output is correct
37 Correct 23 ms 1100 KB Output is correct
38 Correct 4 ms 964 KB Output is correct
39 Correct 8 ms 1088 KB Output is correct
40 Correct 10 ms 1104 KB Output is correct