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>
#define int long long
#define see(x) cout<<#x<<"="<<x<<endl;
#define endl "\n"
using namespace std;
const int N = 30005;
const int INF = 1e18;
int n, m, b[N], p[N], d[N];
vector <pair <int, int>> g[N];
priority_queue <pair <int, int>> q;
map <int, vector <int>> mp;
int32_t main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
/*
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
*/
cin >> n >> m;
for (int i = 0; i < m; i ++) {
cin >> b[i] >> p[i];
mp[b[i]].push_back(i);
}
for (int i = 0; i < m; i ++) {
for (int j = b[i] + p[i]; j < n; j += p[i]) {
for (auto k: mp[j]) {
if (k == i) continue;
if (abs(b[k] - b[i]) % p[i] == 0) g[i].push_back({k, abs(b[k] - b[i]) / p[i]});
}
}
for (int j = b[i] - p[i]; j >= 0; j -= p[i]) {
for (auto k: mp[j]) {
if (k == i) continue;
if (abs(b[k] - b[i]) % p[i] == 0) g[i].push_back({k, abs(b[k] - b[i]) / p[i]});
}
}
}
for (int i = 0; i < m; i ++) {
d[i] = INF;
}
d[0] = 0;
q.push({0, 0});
while (!q.empty()) {
int v = q.top().second;
q.pop();
for (auto i: g[v]) {
if (d[i.first] > d[v] + i.second) {
d[i.first] = d[v] + i.second;
q.push({-d[i.first], i.first});
}
}
}
if (d[1] == INF) d[1] = -1;
cout << d[1] << endl;
return 0;
}
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