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>
using namespace std;
#define ll int
#define ss second
#define ff first
#define INF 2000000000000000
#define pb push_back
#define edge pair<ll, pair<ll,ll> > // une, number ,power
#define cost first
#define num second.first
#define pwr second.second
ll n,m,l,r,i,j,ii,jj,k,x,y,D[30005][172],s,e;
vector< edge > v[30005][172]; // number , power (powergu oroi bol power = 179)
int main(){
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
cin>>n>>m;
for(i=1;i<=m;i++){
cin>>l>>r;
if(i==1) s=l;
if(i==2) e=l;
if(r>170)
for(j=1 ; l+r*j<n || l-r*j>=0 ; j++){
edge a;
a.num=l+r*j;
a.pwr=171;
a.cost=j;
if(a.num<n) v[l][171].pb(a);
a.num=l-r*j;
if(a.num>=0) v[l][171].pb(a);
}
else{
v[l][171].pb({0,{l,r}});
}
}
priority_queue<edge , vector< edge >, greater< edge > > q;
memset(D,-1,sizeof(D));
q.push({0,{s,171}});
while(!q.empty()){
ll une, nmbr, power;
une=q.top().cost;
nmbr=q.top().num;
power=q.top().pwr;
q.pop();
if(D[nmbr][power]==-1){
D[nmbr][power]=une;
for(edge no : v[nmbr][power]) if(D[no.num][no.pwr]==-1) q.push({une+no.cost,{no.num,no.pwr}});
if(power!=171){
ll poo=nmbr+power,pp=nmbr-power;
if(D[nmbr][171]==-1) q.push({une,{nmbr,171}});
if(poo<n && D[poo][power]==-1) q.push({une+1,{poo,power}});
if(pp>=0 && D[pp][power]==-1) q.push({une+1,{pp,power}});
}
}
}
cout<<D[e][171];
}
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