This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <vector>
#include <algorithm>
#include <stack>
#include <queue>
#include <deque>
#include <utility>
#include <functional>
#include <list>
#include <cmath>
#include <string>
#include <cstring>
#include <set>
#include <map>
#define MOD 1000000007
using namespace std;
long long dnq(long long a, int n)
{
if (n == 1)
return a%MOD;
if (n % 2 == 0)
{
long long k = dnq(a, n / 2);
return (k*k)%MOD;
}
else
return (a*dnq(a, n - 1))%MOD;
}
int main() {
//freopen("input.txt", "r", stdin);
long long n;
scanf("%lld", &n);
vector<pair<int, int> > v;
v.push_back(make_pair(1, 2));
long long sum = 1;
for (long long t = 0, k = 2; sum <= n; k++)
{
if (sum + v[t].second*k > n)
{
long long s = v.back().first + 1;
if (sum + k <= n)
{
while (sum + k <= n)
{
s++;
sum += k;
}
v.push_back(make_pair(s - 1, k));
}
if(n - sum > 0)
v.push_back(make_pair(v.back().first + 1, n - sum));
break;
}
v.push_back(make_pair(v.back().first + v[t].second,k));
sum += v[t].second*k;
if (k >= v[t].first)
t++;
}
long long ans = 1;
for (int i = 1; i < v.size(); ++i)
{
long long tmp = 1;
for (long long k = v[i - 1].first + 1; k <= v[i].first; ++k)
tmp = (tmp * (k%MOD)) % MOD;
ans = (ans * dnq(tmp, v[i].second)) % MOD;
}
printf("%lld\n", ans);
}
Compilation message (stderr)
FG.cpp: In function 'int main()':
FG.cpp:64:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int i = 1; i < v.size(); ++i)
^
FG.cpp:36:19: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%lld", &n);
^
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