#include<bits/stdc++.h>
using namespace std;
const int N=105;
int n,s,k[N],v[N][N],t[N][N];
int main(){
scanf("%d%d",&n,&s);
for(int i=1;i<=n;i++){
scanf("%d",&k[i]);
for(int j=1;j<=k[i];j++) scanf("%d%d",&v[i][j],&t[i][j]);
for(int j=1;j<=k[i];j++) t[i][j]+=t[i][j-1];
t[i][k[i]+1]=1e9;
}
int ans=0;
for(int i=1;i<=n;i++) for(int j=i+1;j<=n;j++){
int ti=0,o=2,p1=0,p2=0,s1=0,s2=0;
while(p1!=k[i]||p2!=k[j]){
int nt=min(t[i][p1+1],t[j][p2+1]);
s1+=v[i][p1+1]*(nt-ti),s2+=v[j][p2+1]*(nt-ti);
if(o!=2&&s1!=s2&&o!=(s1<s2)) ans++;
if(s1!=s2) o=s1<s2;
if(t[i][p1+1]<=nt) p1++;
if(t[j][p2+1]<=nt) p2++;
ti=nt;
}
}
printf("%d\n",ans);
}
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