# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
19483 | nosiar | Σ (kriii4_P2) | C++14 | 18 ms | 1716 KiB |
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 <tuple>
using namespace std;
long long mod = 1000000007;
long long m,n,s;
tuple<long long, long long, long long> extended_gcd(long long a, long long b)
{
if (b == 0)
return tuple<long long, long long, long long> { a, 1, 0 };
auto r = extended_gcd(b, a % b);
long long d = get<0>(r);
long long x = get<1>(r);
long long y = get<2>(r);
return tuple<long long, long long, long long>{ d, y, x - a/b*y };
}
/* a has a (unique) multiplicative inverse iif gcd(a,n)=1 */
long long inverse(long long a)
{
auto r = extended_gcd(a, mod);
if (get<0>(r) != 1) return -1;
return (get<1>(r) + mod) % mod;
}
int main() {
cin >> m;
long long ans = 0;
for(int i = 0; i < m; ++i)
{
cin>>n>>s;
ans = (ans+(s*inverse(n)))%mod;
}
cout << ans << endl;
return 0;
}
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