#pragma warning(disable:4996)
#include<stdio.h>
#include<algorithm>
using namespace std;
int n, m, w[101000];
long long Mod = 1000000007, F[201000], G[201000], Res, invF[201000];
bool chk[101000];
long long Inv(long long a){
long long cnt = Mod - 2, r = 1;
while (cnt){
if (cnt % 2){
r = r*a%Mod;
}
cnt /= 2;
a = a*a%Mod;
}
return r;
}
long long Gap(int a){
if (a == 0)return 0;
return F[a + n - 1] * invF[n] % Mod * invF[a - 1] % Mod;
}
void Do(int a){
G[a] = (G[a] + Gap(a) - Gap(a-1) + Mod) % Mod;
int i, ck = chk[a];
for (i = a * 2; i <= 100000; i += a){
G[i] = (G[i] + Mod - G[a]) % Mod;
if (chk[i])ck = true;
}
if (ck)Res = (Res + G[a]) % Mod;
}
int main()
{
int i;
scanf("%d%d", &n, &m);
for (i = 1; i <= m; i++){
scanf("%d", &w[i]);
chk[w[i]] = true;
}
invF[0] = F[0] = 1;
for (i = 1; i <= 200010; i++){
F[i] = F[i - 1] * i%Mod;
invF[i] = Inv(F[i]);
}
for (i = 1; i <= 100000; i++){
Do(i);
}
printf("%lld\n", Res);
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 2 |
Correct |
188 ms |
6292 KB |
Output is correct |
| 3 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 4 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 5 |
Correct |
192 ms |
6292 KB |
Output is correct |
| 6 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 7 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 8 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 9 |
Correct |
192 ms |
6292 KB |
Output is correct |
| 10 |
Correct |
192 ms |
6292 KB |
Output is correct |
| 11 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 12 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 13 |
Correct |
192 ms |
6292 KB |
Output is correct |
| 14 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 15 |
Correct |
192 ms |
6292 KB |
Output is correct |
| 16 |
Correct |
192 ms |
6292 KB |
Output is correct |
| 17 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 18 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 19 |
Correct |
188 ms |
6292 KB |
Output is correct |
| 20 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 21 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 22 |
Correct |
192 ms |
6292 KB |
Output is correct |
| 23 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 24 |
Correct |
200 ms |
6292 KB |
Output is correct |
| 25 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 26 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 27 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 28 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 29 |
Correct |
188 ms |
6292 KB |
Output is correct |
| 30 |
Correct |
188 ms |
6292 KB |
Output is correct |
| 31 |
Correct |
204 ms |
6292 KB |
Output is correct |
| 32 |
Correct |
204 ms |
6292 KB |
Output is correct |
| 33 |
Correct |
200 ms |
6292 KB |
Output is correct |
| 34 |
Correct |
200 ms |
6292 KB |
Output is correct |
| 35 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 36 |
Correct |
208 ms |
6292 KB |
Output is correct |
| 37 |
Correct |
204 ms |
6292 KB |
Output is correct |
| 38 |
Correct |
204 ms |
6292 KB |
Output is correct |
| 39 |
Correct |
204 ms |
6292 KB |
Output is correct |
| 40 |
Correct |
204 ms |
6292 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
192 ms |
6292 KB |
Output is correct |
| 2 |
Correct |
188 ms |
6292 KB |
Output is correct |
| 3 |
Correct |
192 ms |
6292 KB |
Output is correct |
| 4 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 5 |
Correct |
188 ms |
6292 KB |
Output is correct |
| 6 |
Correct |
192 ms |
6292 KB |
Output is correct |
| 7 |
Correct |
192 ms |
6292 KB |
Output is correct |
| 8 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 9 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 10 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 11 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 12 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 13 |
Correct |
192 ms |
6292 KB |
Output is correct |
| 14 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 15 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 16 |
Correct |
192 ms |
6292 KB |
Output is correct |
| 17 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 18 |
Correct |
200 ms |
6292 KB |
Output is correct |
| 19 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 20 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 21 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 22 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 23 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 24 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 25 |
Correct |
192 ms |
6292 KB |
Output is correct |
| 26 |
Correct |
192 ms |
6292 KB |
Output is correct |
| 27 |
Correct |
192 ms |
6292 KB |
Output is correct |
| 28 |
Correct |
192 ms |
6292 KB |
Output is correct |
| 29 |
Correct |
188 ms |
6292 KB |
Output is correct |
| 30 |
Correct |
196 ms |
6292 KB |
Output is correct |
| 31 |
Correct |
208 ms |
6292 KB |
Output is correct |
| 32 |
Correct |
192 ms |
6292 KB |
Output is correct |
| 33 |
Correct |
208 ms |
6292 KB |
Output is correct |
| 34 |
Correct |
200 ms |
6292 KB |
Output is correct |
| 35 |
Correct |
204 ms |
6292 KB |
Output is correct |
| 36 |
Correct |
200 ms |
6292 KB |
Output is correct |
| 37 |
Correct |
200 ms |
6292 KB |
Output is correct |
| 38 |
Correct |
208 ms |
6292 KB |
Output is correct |
| 39 |
Correct |
208 ms |
6292 KB |
Output is correct |
| 40 |
Correct |
200 ms |
6292 KB |
Output is correct |
