This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/// adil sultanov | vonat1us
#pragma GCC optimize("O3")
//#pragma comment(linker, "/STACK:36777216")
#include<bits/stdc++.h>
#define x first
#define y second
#define pb push_back
#define sz(x) (int) x.size()
#define all(z) (z).begin(), (z).end()
using namespace std;
using ll = long long;
using pii = pair<int, int>;
const int MOD = 1e9 + 7;
const int INF = 1e9 + 1e2;
void fin() {
#ifdef AM
freopen(".in", "r", stdin);
#endif
}
const bool flag = 0;
const int M = 3e4+10;
const int N = 2e3+10;
int d[M];
vector<pii> adj[M];
void dijkstra(int m) {
for (int i = 0; i < m; ++i) {
d[i] = INF;
}
d[0] = 0;
priority_queue<pii> q;
q.push({0, 0});
while (!q.empty()) {
auto [w, x] = q.top();
q.pop();
if (d[x] != -w) continue;
for (auto [to, we] : adj[x]) {
if (d[to] > d[x]+we) {
d[to] = d[x]+we;
q.push({-d[to], to});
}
}
}
}
void ma1n() {
int n, m;
cin >> n >> m;
vector<int> b(m), p(m);
for (int i = 0; i < m; ++i) {
cin >> b[i] >> p[i];
}
for (int i = 0; i < m; ++i) {
for (int j = 0; j < m; ++j) {
if (i == j || b[j]%p[i] != b[i]%p[i]) continue;
int dist = abs(b[j]-b[i])/p[i];
adj[i].pb({j, dist});
}
}
dijkstra(m);
cout << (d[1] == INF ? -1 : d[1]);
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(nullptr), fin();
int ts = 1;
if (flag) {
cin >> ts;
}
while (ts--) {
ma1n();
}
return 0;
}
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