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;
const int N = 1e5+5;const int ee = 1e9+7;
vector<int>adj[2*N];long long dp[N];int d[N],x[N];
long long qs[500][2*N];
/*struct fenwick{
long long f[4*N];
void update(int idx,long long v){
for(int i=idx;i<N;i+=i&-i){
f[i]+=v;
}
return;
}
long long sum(int idx){
long long s = 0;
for(int i=idx;i>=0;i-=i&-i){
s+=f[i];
s%=ee;
}
return s;
}
}qs[400];*/
int main(){
ios_base::sync_with_stdio(0);cin.tie(0);
int n;cin>>n;int k = 1;
while(k*k<N){
k++;
}
for(int i=1;i<=n;i++){
cin>>d[i]>>x[i];
if(d[i]>k){
int cnt = min(((n-i)/d[i]),x[i]);
for(int ii=1;ii<=cnt;ii++){
adj[((ii*d[i])+i)].push_back(i);
}
}
}
dp[1]=1;long long ans=0;
for(int i=1;i<=n;i++){
if(d[i]<=k&&d[i]>0){
qs[d[i]][i]+=dp[i];
qs[d[i]][i]%=ee;
//cout<<"1 "<<qs[d[i]][i]<<" = "<<qs[d[i]][i]-dp[i]<<" + "<<dp[i]<<"\n";
//qs[d[i]][i]+=qs[d[i]][i-d[i]];
//cout<<"2 "<<qs[d[i]][i]<<" = "<<qs[d[i]][i]-qs[d[i]][i-d[i]]<<" + "<<qs[d[i]][i-d[i]]<<"\n";
int cnt = min(((n-i)/d[i]),x[i])-1;
qs[d[i]][((cnt*d[i])+i+d[i])]-=dp[i];
qs[d[i]][((cnt*d[i])+i+d[i])]%=ee;
//cout<<" "<<(cnt*d[i])+i+d[i]<<" "<<qs[d[i]][(cnt*d[i])+i+d[i]]<<" = "<<qs[d[i]][(cnt*d[i])+i+d[i]]+dp[i]<<" - "<<dp[i]<<"\n";
}
for(auto v:adj[i+1]){
dp[i+1]+=dp[v];
dp[i+1]%=ee;
}
for(int ii=1;ii<=k;ii++){
qs[ii][i+1]+=qs[ii][i+1-ii];
qs[ii][i+1]%=ee;
dp[i+1]+=qs[ii][i+1];
dp[i+1]%=ee;
//dp[i+1]+=qs[ii][i+1-ii];
//cout<<"4 "<<dp[i+1]<<" = "<<dp[i+1]-qs[ii][i+1-ii]<<" + "<<qs[ii][i+1-ii]<<"\n";
//dp[i+1]%=ee;
}
ans+=dp[i];
//cout<<dp[i]<<"\n";
ans%=ee;
}
cout<<ans;
return 0;
}
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