#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define fbo find_by_order
#define ook order_of_key
typedef long long ll;
typedef pair<ll,ll> ii;
typedef vector<int> vi;
typedef long double ld;
typedef tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update> pbds;
typedef set<ll>::iterator sit;
typedef map<ll,ll>::iterator mit;
const int MOD = 1e9 + 7;
int add(int a, int b)
{
a+=b; while(a>=MOD) a-=MOD;
return a;
}
int mult(int a, int b)
{
return (a*1LL*b)%MOD;
}
int modpow(int a, int b)
{
int r=1;
while(b)
{
if(b&1) r=mult(r,a);
a=mult(a,a); b>>=1;
}
return r;
}
int ifact[111111];
int fact[111111];
int pow2[111111];
int ipow2[111111];
int choose(int n, int r)
{
if(r<0) return 0;
if(n<r) return 0;
if(r==0) return 1;
return mult(fact[n],mult(ifact[r],ifact[n-r]));
}
int main()
{
ios_base::sync_with_stdio(0); cin.tie(0);
int n,m; cin>>n>>m;
fact[0]=ifact[0]=1; pow2[0]=ipow2[0]=1;
for(int i=1;i<=100111;i++)
{
pow2[i]=add(pow2[i-1],pow2[i-1]);
ipow2[i] = modpow(pow2[i], MOD-2);
}
for(int i=1;i<=100111;i++)
{
fact[i]=mult(fact[i-1],i); ifact[i] = modpow(fact[i],MOD-2);
}
int ans=0;
m--;
for(int i=0;i<=m+1;i++)
{
ans = add(ans, mult(modpow(MOD-1,i),mult(choose(n+1,i),modpow(m-i+1,n))));
}
cout<<ans<<'\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
45 ms |
1912 KB |
Output is correct |
2 |
Correct |
46 ms |
2024 KB |
Output is correct |
3 |
Correct |
44 ms |
2076 KB |
Output is correct |
4 |
Correct |
45 ms |
2104 KB |
Output is correct |
5 |
Correct |
45 ms |
2104 KB |
Output is correct |
6 |
Correct |
45 ms |
2104 KB |
Output is correct |
7 |
Correct |
45 ms |
2104 KB |
Output is correct |
8 |
Correct |
45 ms |
2196 KB |
Output is correct |
9 |
Correct |
44 ms |
2196 KB |
Output is correct |
10 |
Correct |
44 ms |
2372 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
45 ms |
1912 KB |
Output is correct |
2 |
Correct |
46 ms |
2024 KB |
Output is correct |
3 |
Correct |
44 ms |
2076 KB |
Output is correct |
4 |
Correct |
45 ms |
2104 KB |
Output is correct |
5 |
Correct |
45 ms |
2104 KB |
Output is correct |
6 |
Correct |
45 ms |
2104 KB |
Output is correct |
7 |
Correct |
45 ms |
2104 KB |
Output is correct |
8 |
Correct |
45 ms |
2196 KB |
Output is correct |
9 |
Correct |
44 ms |
2196 KB |
Output is correct |
10 |
Correct |
44 ms |
2372 KB |
Output is correct |
11 |
Correct |
45 ms |
2372 KB |
Output is correct |
12 |
Correct |
44 ms |
2372 KB |
Output is correct |
13 |
Correct |
45 ms |
2372 KB |
Output is correct |
14 |
Correct |
44 ms |
2372 KB |
Output is correct |
15 |
Correct |
44 ms |
2372 KB |
Output is correct |
16 |
Correct |
45 ms |
2372 KB |
Output is correct |
17 |
Correct |
44 ms |
2372 KB |
Output is correct |
18 |
Correct |
45 ms |
2372 KB |
Output is correct |
19 |
Correct |
46 ms |
2372 KB |
Output is correct |
20 |
Correct |
45 ms |
2372 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
45 ms |
1912 KB |
Output is correct |
2 |
Correct |
46 ms |
2024 KB |
Output is correct |
3 |
Correct |
44 ms |
2076 KB |
Output is correct |
4 |
Correct |
45 ms |
2104 KB |
Output is correct |
5 |
Correct |
45 ms |
2104 KB |
Output is correct |
6 |
Correct |
45 ms |
2104 KB |
Output is correct |
7 |
Correct |
45 ms |
2104 KB |
Output is correct |
8 |
Correct |
45 ms |
2196 KB |
Output is correct |
9 |
Correct |
44 ms |
2196 KB |
Output is correct |
10 |
Correct |
44 ms |
2372 KB |
Output is correct |
11 |
Correct |
45 ms |
2372 KB |
Output is correct |
12 |
Correct |
44 ms |
2372 KB |
Output is correct |
13 |
Correct |
45 ms |
2372 KB |
Output is correct |
14 |
Correct |
44 ms |
2372 KB |
Output is correct |
15 |
Correct |
44 ms |
2372 KB |
Output is correct |
16 |
Correct |
45 ms |
2372 KB |
Output is correct |
17 |
Correct |
44 ms |
2372 KB |
Output is correct |
18 |
Correct |
45 ms |
2372 KB |
Output is correct |
19 |
Correct |
46 ms |
2372 KB |
Output is correct |
20 |
Correct |
45 ms |
2372 KB |
Output is correct |
21 |
Correct |
45 ms |
2372 KB |
Output is correct |
22 |
Correct |
45 ms |
2372 KB |
Output is correct |
23 |
Correct |
45 ms |
2372 KB |
Output is correct |
24 |
Correct |
45 ms |
2372 KB |
Output is correct |
25 |
Correct |
48 ms |
2372 KB |
Output is correct |
26 |
Correct |
45 ms |
2372 KB |
Output is correct |
27 |
Correct |
45 ms |
2372 KB |
Output is correct |
28 |
Correct |
45 ms |
2372 KB |
Output is correct |
29 |
Correct |
44 ms |
2372 KB |
Output is correct |
30 |
Correct |
45 ms |
2372 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
45 ms |
1912 KB |
Output is correct |
2 |
Correct |
46 ms |
2024 KB |
Output is correct |
3 |
Correct |
44 ms |
2076 KB |
Output is correct |
4 |
Correct |
45 ms |
2104 KB |
Output is correct |
5 |
Correct |
45 ms |
2104 KB |
Output is correct |
6 |
Correct |
45 ms |
2104 KB |
Output is correct |
7 |
Correct |
45 ms |
2104 KB |
Output is correct |
8 |
Correct |
45 ms |
2196 KB |
Output is correct |
9 |
Correct |
44 ms |
2196 KB |
Output is correct |
10 |
Correct |
44 ms |
2372 KB |
Output is correct |
11 |
Correct |
45 ms |
2372 KB |
Output is correct |
12 |
Correct |
44 ms |
2372 KB |
Output is correct |
13 |
Correct |
45 ms |
2372 KB |
Output is correct |
14 |
Correct |
44 ms |
2372 KB |
Output is correct |
15 |
Correct |
44 ms |
2372 KB |
Output is correct |
16 |
Correct |
45 ms |
2372 KB |
Output is correct |
17 |
Correct |
44 ms |
2372 KB |
Output is correct |
18 |
Correct |
45 ms |
2372 KB |
Output is correct |
19 |
Correct |
46 ms |
2372 KB |
Output is correct |
20 |
Correct |
45 ms |
2372 KB |
Output is correct |
21 |
Correct |
45 ms |
2372 KB |
Output is correct |
22 |
Correct |
45 ms |
2372 KB |
Output is correct |
23 |
Correct |
45 ms |
2372 KB |
Output is correct |
24 |
Correct |
45 ms |
2372 KB |
Output is correct |
25 |
Correct |
48 ms |
2372 KB |
Output is correct |
26 |
Correct |
45 ms |
2372 KB |
Output is correct |
27 |
Correct |
45 ms |
2372 KB |
Output is correct |
28 |
Correct |
45 ms |
2372 KB |
Output is correct |
29 |
Correct |
44 ms |
2372 KB |
Output is correct |
30 |
Correct |
45 ms |
2372 KB |
Output is correct |
31 |
Correct |
44 ms |
2372 KB |
Output is correct |
32 |
Correct |
45 ms |
2372 KB |
Output is correct |
33 |
Correct |
45 ms |
2372 KB |
Output is correct |
34 |
Correct |
48 ms |
2372 KB |
Output is correct |
35 |
Correct |
64 ms |
2372 KB |
Output is correct |
36 |
Correct |
66 ms |
2372 KB |
Output is correct |
37 |
Correct |
68 ms |
2372 KB |
Output is correct |
38 |
Correct |
47 ms |
2372 KB |
Output is correct |
39 |
Correct |
53 ms |
2372 KB |
Output is correct |
40 |
Correct |
54 ms |
2372 KB |
Output is correct |