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 pb push_back
#define mp make_pair
#define fr first
#define sc second
#define clr(a) memset(a, 0, sizeof(a))
#define sz(x) x.size()
#define printarray(arr) for (auto it = arr.begin(); it != arr.end(); ++it) cout<<*it<<" "; cout<<endl;
#define rep(n) for (ll i = 0; i < n; i++)
#define repc(i, n) for (ll i = 0; i < n; i++)
#define FOR(i, x, y) for (int i = x; i < y; i++)
#define DEC(i, x, y) for (int i = x; i >= y; i--)
#define all(v) v.begin(), v.end()
#define min3(a, b, c) min(a, min(b, c))
#define max3(a, b, c) max(a, max(b, c))
#define alla(a, n) a, a + n
#define gcd(a, b) __gcd(a, b)
#define lcm(a, b) (a * b)/gcd(a, b)
#define int long long int
#define ull unsigned long long
using namespace std;
const int MOD = 1e9 + 7;
const int MAXN = 1e5 + 5;
const int INF = 2e10 + 10;
int fastexpo(int b, int exp){
if(exp == 0) return 1;
if(exp == 1) return b;
int ans = (fastexpo(b,exp/2) % MOD);
ans *= ans;
ans %= MOD;
if(exp % 2 == 1){
ans *= b;
}
ans %= MOD;
return ans;
}
vector<pair<int, int> > adj[MAXN];
int dist[MAXN];
int vis[MAXN] = {false};
void dstra(){
for(int i = 0;i<MAXN;i++){
dist[i] = INF;
}
priority_queue<pair<int, int> > q;
q.push(mp(0, 0));
dist[0] = 0;
while(!q.empty()){
int a = q.top().sc;
q.pop();
if(vis[a]){
continue;
}
vis[a] = true;
for(auto v: adj[a]){
int b = v.fr;
int w = v.sc;
if(dist[a]+w < dist[b]){
dist[b] = dist[a]+w;
q.push(mp(-dist[b], b));
}
}
}
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
vector<int> pos[MAXN];
int n, m;
cin>>n>>m;
for(int i= 0;i<m;i++){
int t1, t2;
cin>>t1>>t2;
pos[t1].pb(t2);
}
for(int i = 0;i<n;i++){
for(int j = 0;j<n;j++){
int dist = abs(i-j);
for(int x: pos[i]){
if(dist % x == 0){
adj[i].pb(mp(j, dist/x));
}
}
for(int x: pos[j]){
if(dist % x == 0){
adj[j].pb(mp(i, dist/x));
}
}
}
}
dstra();
cout<<dist[1]<<endl;
return 0;
}
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