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 = 1e9;
int n, m, b[N], p[N], d[2005], used[2005];
int g[2005][2005];
vector <int> mp[2005];
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 < n; i ++) {
for (int j = i + 1; j < n; j ++) {
g[i][j] = g[j][i] = INF;
}
}
for (int i = 0; i < m; i ++) {
for (int j = 0; j < n; j ++) {
for (auto k: mp[j]) {
if (k == i) continue;
if (abs(b[k] - b[i]) % p[i] == 0) g[b[i]][b[k]] = min(g[b[i]][b[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 < n; i ++) {
d[i] = INF;
}
d[b[0]] = 0;
for (int i = 0; i < n; i ++) {
int v = -1, mn;
for (int j = 0; j < n; j ++) {
if ((v == -1 or mn > d[j]) and !used[j]) {
mn = d[j];
v = j;
}
}
used[v] = 1;
for (int j = 0; j < n; j ++) {
if (d[j] > d[v] + g[v][j]) {
d[j] = d[v] + g[v][j];
}
}
}
if (d[b[1]] == INF) d[b[1]] = -1;
cout << d[b[1]] << endl;
return 0;
}
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