#include <iostream>
using namespace std;
#define MAX 50000000
// #define MAX 50
const long long mod = 1000000007LL;
int a[MAX+1];
long long calc(long long a, long long b, long long c) {
long long ans = 1;
while (b > 0) {
if (b % 2 == 1) {
ans = (ans * a) % c;
}
a = (a*a) % c;
b = b/2;
}
return ans;
}
int main(){
long long n;
cin >> n;
a[1] = 1;
a[2] = a[3] = 2;
int now = 4;
for (int i=3;; i++){
for (int j=0; j<a[i]; j++) {
a[now++] = i;
if (now >= MAX) {
break;
}
}
if (now >= MAX) {
break;
}
}
if (n < MAX) {
long long ans = 1;
for (int i=2; i<=n; i++) {
ans = (ans * a[i]) % mod;
}
cout << ans << '\n';
} else {
long long ans = 1;
long long sum = 0;
long long mul = 1;
while (true) {
if (sum == n) break;
if (sum + a[ans] > n) {
mul *= calc(ans, n-sum, mod);
mul %= mod;
} else {
// cout << ans << ' ' << a[ans] << '\n';
mul *= calc(ans, a[ans], mod);
mul %= mod;
}
sum += a[ans];
if (sum > n) {
break;
}
ans++;
}
cout << mul << '\n';
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
43 ms |
197332 KB |
Output is correct |
2 |
Correct |
89 ms |
197332 KB |
Output is correct |
3 |
Correct |
93 ms |
197332 KB |
Output is correct |
4 |
Correct |
66 ms |
197332 KB |
Output is correct |
5 |
Correct |
66 ms |
197332 KB |
Output is correct |
6 |
Correct |
53 ms |
197332 KB |
Output is correct |
7 |
Correct |
56 ms |
197332 KB |
Output is correct |
8 |
Correct |
53 ms |
197332 KB |
Output is correct |
9 |
Correct |
59 ms |
197332 KB |
Output is correct |
10 |
Correct |
53 ms |
197332 KB |
Output is correct |
11 |
Correct |
63 ms |
197332 KB |
Output is correct |
12 |
Correct |
53 ms |
197332 KB |
Output is correct |
13 |
Correct |
56 ms |
197332 KB |
Output is correct |
14 |
Correct |
46 ms |
197332 KB |
Output is correct |
15 |
Correct |
69 ms |
197332 KB |
Output is correct |
16 |
Correct |
73 ms |
197332 KB |
Output is correct |
17 |
Correct |
69 ms |
197332 KB |
Output is correct |
18 |
Correct |
63 ms |
197332 KB |
Output is correct |
19 |
Correct |
49 ms |
197332 KB |
Output is correct |
20 |
Correct |
66 ms |
197332 KB |
Output is correct |
21 |
Correct |
56 ms |
197332 KB |
Output is correct |
22 |
Correct |
56 ms |
197332 KB |
Output is correct |
23 |
Correct |
63 ms |
197332 KB |
Output is correct |
24 |
Correct |
63 ms |
197332 KB |
Output is correct |
25 |
Correct |
66 ms |
197332 KB |
Output is correct |
26 |
Correct |
43 ms |
197332 KB |
Output is correct |
27 |
Correct |
49 ms |
197332 KB |
Output is correct |
28 |
Correct |
56 ms |
197332 KB |
Output is correct |
29 |
Correct |
73 ms |
197332 KB |
Output is correct |
30 |
Correct |
76 ms |
197332 KB |
Output is correct |
31 |
Correct |
63 ms |
197332 KB |
Output is correct |
32 |
Correct |
79 ms |
197332 KB |
Output is correct |
33 |
Correct |
63 ms |
197332 KB |
Output is correct |
34 |
Correct |
46 ms |
197332 KB |
Output is correct |
35 |
Correct |
69 ms |
197332 KB |
Output is correct |
36 |
Correct |
86 ms |
197332 KB |
Output is correct |
37 |
Correct |
73 ms |
197332 KB |
Output is correct |
38 |
Correct |
49 ms |
197332 KB |
Output is correct |
39 |
Correct |
73 ms |
197332 KB |
Output is correct |
40 |
Correct |
69 ms |
197332 KB |
Output is correct |
41 |
Correct |
83 ms |
197332 KB |
Output is correct |
42 |
Correct |
86 ms |
197332 KB |
Output is correct |
43 |
Correct |
59 ms |
197332 KB |
Output is correct |
44 |
Correct |
63 ms |
197332 KB |
Output is correct |
45 |
Correct |
63 ms |
197332 KB |
Output is correct |
46 |
Correct |
66 ms |
197332 KB |
Output is correct |
47 |
Correct |
89 ms |
197332 KB |
Output is correct |
48 |
Correct |
79 ms |
197332 KB |
Output is correct |
49 |
Correct |
49 ms |
197332 KB |
Output is correct |
50 |
Correct |
76 ms |
197332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
43 ms |
197332 KB |
Output is correct |
2 |
Correct |
89 ms |
197332 KB |
Output is correct |
3 |
Correct |
93 ms |
197332 KB |
Output is correct |
4 |
Correct |
66 ms |
197332 KB |
Output is correct |
5 |
Correct |
66 ms |
197332 KB |
Output is correct |
6 |
Correct |
53 ms |
197332 KB |
Output is correct |
7 |
Correct |
56 ms |
197332 KB |
Output is correct |
8 |
Correct |
53 ms |
197332 KB |
Output is correct |
9 |
Correct |
59 ms |
197332 KB |
Output is correct |
10 |
Correct |
53 ms |
197332 KB |
Output is correct |
11 |
Correct |
63 ms |
197332 KB |
Output is correct |
12 |
Correct |
53 ms |
197332 KB |
Output is correct |
13 |
Correct |
56 ms |
197332 KB |
Output is correct |
14 |
Correct |
46 ms |
197332 KB |
Output is correct |
15 |
Correct |
69 ms |
197332 KB |
Output is correct |
16 |
Correct |
73 ms |
197332 KB |
Output is correct |
17 |
Correct |
69 ms |
197332 KB |
Output is correct |
18 |
Correct |
63 ms |
197332 KB |
Output is correct |
19 |
Correct |
49 ms |
197332 KB |
Output is correct |
20 |
Correct |
66 ms |
197332 KB |
Output is correct |
21 |
Correct |
56 ms |
197332 KB |
Output is correct |
22 |
Correct |
56 ms |
197332 KB |
Output is correct |
23 |
Correct |
63 ms |
197332 KB |
Output is correct |
24 |
Correct |
63 ms |
197332 KB |
Output is correct |
25 |
Correct |
66 ms |
197332 KB |
Output is correct |
26 |
Correct |
43 ms |
197332 KB |
Output is correct |
27 |
Correct |
49 ms |
197332 KB |
Output is correct |
28 |
Correct |
56 ms |
197332 KB |
Output is correct |
29 |
Correct |
73 ms |
197332 KB |
Output is correct |
30 |
Correct |
76 ms |
197332 KB |
Output is correct |
31 |
Correct |
63 ms |
197332 KB |
Output is correct |
32 |
Correct |
79 ms |
197332 KB |
Output is correct |
33 |
Correct |
63 ms |
197332 KB |
Output is correct |
34 |
Correct |
46 ms |
197332 KB |
Output is correct |
35 |
Correct |
69 ms |
197332 KB |
Output is correct |
36 |
Correct |
86 ms |
197332 KB |
Output is correct |
37 |
Correct |
73 ms |
197332 KB |
Output is correct |
38 |
Correct |
49 ms |
197332 KB |
Output is correct |
39 |
Correct |
73 ms |
197332 KB |
Output is correct |
40 |
Correct |
69 ms |
197332 KB |
Output is correct |
41 |
Correct |
83 ms |
197332 KB |
Output is correct |
42 |
Correct |
86 ms |
197332 KB |
Output is correct |
43 |
Correct |
59 ms |
197332 KB |
Output is correct |
44 |
Correct |
63 ms |
197332 KB |
Output is correct |
45 |
Correct |
63 ms |
197332 KB |
Output is correct |
46 |
Correct |
66 ms |
197332 KB |
Output is correct |
47 |
Correct |
89 ms |
197332 KB |
Output is correct |
48 |
Correct |
79 ms |
197332 KB |
Output is correct |
49 |
Correct |
49 ms |
197332 KB |
Output is correct |
50 |
Correct |
76 ms |
197332 KB |
Output is correct |
51 |
Execution timed out |
500 ms |
197332 KB |
Execution timed out |
52 |
Halted |
0 ms |
0 KB |
- |