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 long long
#define fi first
#define se second
const int ar=3e4+5;
const ll mod=1e9+7;
int n,m;
int sqr;
int b[ar];
int p[ar];
int dp[ar][174];
vector<int> ad[ar];
struct seg
{
int dis,i,p;
};
bool operator>(seg a,seg b)
{
return a.dis>b.dis;
}
priority_queue<seg,vector<seg>, greater<seg> > pq;
int ans=1e9;
void dijkstra()
{
memset(dp,0x3f,sizeof dp);
pq.push({0,b[0],0});
dp[b[0]][0]=0;
while(pq.size())
{
seg top=pq.top();
pq.pop();
int dis=top.dis;
int i=top.i;
int pk=top.p;
if (dp[i][pk]<dis) continue;
if (i==1) ans=min(ans,dis);
if (pk==0)
{
for (auto x:ad[i])
{
if (p[x]<=sqr)
{
if (dp[i][p[x]]>dis)
{
dp[i][p[x]]=dis;
pq.push({dis,i,p[x]});
}
}
else
{
int cnt=0;
for (int j=i;j<n;j+=p[x])
{
if (dp[j][0]>dis+cnt)
{
dp[j][0]=dis+cnt;
pq.push({dp[j][0],j,0});
}
cnt++;
}
cnt=0;
for (int j=i;j>=0;j-=p[x])
{
if (dp[j][0]>dis+cnt)
{
dp[j][0]=dis+cnt;
pq.push({dp[j][0],j,0});
}
cnt++;
}
}
}
}
else
{
if (i+pk<n && dp[i+pk][pk]>dis+1)
{
dp[i+pk][pk]=dis+1;
pq.push({dp[i+pk][pk],i+pk,pk});
}
if (i-pk>=0 && dp[i-pk][pk]>dis+1)
{
dp[i-pk][pk]=dis+1;
pq.push({dp[i-pk][pk],i-pk,pk});
}
if (dp[i][0]>dis)
{
dp[i][0]=dis;
pq.push({dp[i][0],i,0});
}
}
}
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
cin>>n>>m;
for (int i=0;i<m;i++)
{
cin>>b[i]>>p[i];
ad[b[i]].push_back(i);
}
sqr=sqrt(n);
dijkstra();
if (ans==1e9) ans=-1;
cout<<ans;
}
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