#include<bits/stdc++.h> #include<bits/extc++.h> using namespace std; typedef pair<int,int> pii; int main(){ int n,m; scanf("%d%d",&n,&m); int sqr=200; vector<vector<int> >dog(n),havedog(n,vector<int>(sqr,0)); int src=0,dst=1; for(int i=0;i<m;i++) { int x,y; scanf("%d%d",&x,&y); if(i==0) src=x; if(i==1) dst=x; dog[x].push_back(y);// a dog at x can jump y step if(y<sqr)havedog[x][y]=1; } for(int i=0;i<n;i++) { sort(dog[i].begin(),dog[i].end()); dog[i].erase(unique(dog[i].begin(),dog[i].end()),dog[i].end()); } // dij vector<int>dist(n,2e9); __gnu_pbds::priority_queue<pii,greater<pii>,__gnu_pbds::thin_heap_tag> q; dist[src]=0; q.push(pii(dist[src],src)); while(!q.empty()){ int u=q.top().second,dis=q.top().first; q.pop(); if(dist[u]!=dis)continue; for(int jump:dog[u]){ for(int d=1;u+d*jump<n;d++){ if(dist[u+d*jump]>dist[u]+d){ dist[u+d*jump]=dist[u]+d; q.push(pii(dist[u+d*jump],u+d*jump)); } if(jump<sqr&&havedog[u+d*jump][jump]) break; } for(int d=1;u-d*jump>=0;d++){ if(dist[u-d*jump]>dist[u]+d){ dist[u-d*jump]=dist[u]+d; q.push(pii(dist[u-d*jump],u-d*jump)); } if(jump<sqr&&havedog[u-d*jump][jump]) break; } } } if(dist[dst]==2e9) cout<<-1<<endl; else cout<<dist[dst]<<endl; }