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 int long long
const int N=3e4+9;
const int oo=1e9+9;
typedef pair <int,int> ii;
typedef pair <int,ii> iii;
int can,n,m,a[N],p[N],f[N][176];
bool First[N],check[N][176],doge[N];
vector <int> num[N];
queue <iii> q;
void update(int x,int dist,int val)
{
if (f[x][dist]>val)
{
f[x][dist]=val;
q.push({val,{x,dist}});
}
if (num[x].size()==0||dist==0) return;
}
int solve()
{
if (p[1]>=can)
{
f[a[1]][0]=0;
q.push({0,{a[1],0}});
}
else
{
f[a[1]][p[1]]=0;
q.push({0,{a[1],p[1]}});
}
int val,x,dist;
while (!q.empty())
{
val=q.front().first;
x=q.front().second.first;
dist=q.front().second.second;
q.pop();
if (f[x][dist]!=val) continue;
if (!First[x])
{
First[x]=true;
for (int i=0;i<can;i++)
if (check[x][i]||i==0) update(x,i,val);
}
if (dist!=0)
{
if (x+dist<=n) update(x+dist,dist,f[x][dist]+1);
if (x-dist>=1) update(x-dist,dist,f[x][dist]+1);
}
for (int xnew:num[x])
{
int dem=0;
for (int i=x;i<=n;i+=p[xnew])
{
update(i,0,val+dem);
dem++;
}
dem=0;
for (int i=x;i>=1;i-=p[xnew])
{
update(i,0,val+dem);
dem++;
}
}
}
int res=oo;
for (int i=0;i<=can;i++)
res=min(res,f[a[2]][i]);
return res;
}
signed main()
{
ios::sync_with_stdio(false);
cin.tie(0);
// freopen("test.inp","r",stdin);
cin>>n>>m;
can=sqrt(n);
for (int i=0;i<=n;i++)
for (int j=0;j<=can;j++)
f[i][j]=oo;
for (int i=1;i<=m;i++)
{
cin>>a[i]>>p[i];
doge[a[i]]=true;
a[i]++;
if (p[i]>=can) num[a[i]].push_back(i);
else check[a[i]][p[i]]=true;
}
cout<<solve();
return 0;
}
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