# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
342336 | VodkaInTheJar | Sažetak (COCI17_sazetak) | C++14 | 56 ms | 65540 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 <bits/stdc++.h>
#pragma GCC optimize("O3")
#define endl '\n'
using namespace std;
const int maxm = 13;
int n, m;
int k[maxm];
void read()
{
cin >> n >> m;
for (int i = 1; i <= m; i++)
cin >> k[i];
}
pair <long long, long long> extended_euclid(int a, int b)
{
if (b == 0)
return {1, 0};
int r = a % b, q = a / b;
auto res = extended_euclid(b, r);
return {res.second, res.first - 1ll * res.second * q};
}
bitset <1000000007> bs;
void solve()
{
int ans = 0;
for (int i = 1; i <= m; i++)
if ((n - 1) % k[i] == 0)
{
ans++;
break;
}
n++;
set <long long> s;
vector <pair <long long, long long> > v;
for (int i = 1; i <= m; i++)
for (int j = 1; j <= m; j++)
if (__gcd(k[i], k[j]) == 1)
{
long long period = 1ll * k[i] * k[j];
auto sol = extended_euclid(k[j], k[i]);
long long num = sol.second * k[i];
num %= period;
if (num < 0)
num += period;
if (num > n-2)
continue;
v.push_back({period, num});
}
if (v.empty())
{
cout << ans << endl;
return;
}
for (auto i: v)
for (long long j = i.second; j <= n-2; j += i.first)
{
if (!bs[j])
{
bs[j] = true;
ans++;
}
}
cout << ans << endl;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
read();
solve();
}
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