# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
237654 | Vimmer | Sažetak (COCI17_sazetak) | C++14 | 9 ms | 512 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>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
//#pragma GCC optimize("unroll-loops")
//#pragma GCC optimize("-O3")
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("fast-math")
//#pragma GCC optimize("no-stack-protector")
#define F first
#define S second
#define sz(x) int(x.size())
#define pb push_back
#define N 100001
#define M ll(1e9 + 7)
#define inf 1e9 + 1e9
using namespace std;
//using namespace __gnu_pbds;
typedef long double ld;
typedef long long ll;
typedef short int si;
typedef array <int, 2> a2;
//typedef tree <int, null_type, less_equal<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;
ll ans = 0, a[20], n, m;
ll lcm(ll x, ll y) {return min(ll(2e9), (x * y) / __gcd(x, y)); }
pair <ll, ll> gcd(ll a, ll b)
{
if (a == 0) return {0, 1};
pair <ll, ll> t = gcd(b % a, a);
return {t.S + t.F * (b / a) ,t.F};
}
pair <ll, ll> calc(ll x, ll y)
{
if (__gcd(x, y) != 1) return {-1, -1};
ll Y = gcd(x, y).S;
Y %= x;
if (Y < 0) Y += x;
return {Y * y, x * y};
}
void dfs(int v, int fr, int sd, int loc)
{
if (v == m)
{
if (fr == 1 || sd == 1) return;
pair <ll, ll> t = calc(fr, sd);
if (t.F < 0 || t.F > n - 1) return;
ans += loc * ((n - 1 - t.F) / t.S + 1);
return;
}
dfs(v + 1, fr, sd, loc);
dfs(v + 1, lcm(fr, a[v]), sd, -loc);
dfs(v + 1, fr, lcm(a[v], sd), -loc);
}
int main()
{
//freopen("input.txt", "r", stdin); //freopen("output4.txt", "w", stdout);
ios_base::sync_with_stdio(0); istream::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n >> m;
for (int i = 0; i < m; i++) {cin >> a[i]; if (n % a[i] == 1) ans = 1;}
dfs(0, 1, 1, 1);
cout << ans << endl;
}
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