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 K=224;
const int MOD=1e9+7;
int n;
int d[N],x[N];
int dp[N],add[N][K];
int ans;
void norm(int &x){
if(x<0)x+=MOD;
if(x>=MOD)x-=MOD;
}
int main(){
cin.tie(nullptr)->sync_with_stdio(false);
cin >> n;
for(int i=1;i<=n;i++)cin >> d[i] >> x[i];
dp[1]=1;
for(int i=1;i<=n;i++){
for(int j=0;j<K;j++){
if(i-j>=0)norm(add[i][j]+=add[i-j][j]);
norm(dp[i]+=add[i][j]);
}
if(d[i]<K){
if(i+d[i]<=n)norm(add[i+d[i]][d[i]]+=dp[i]);
if(i+1LL*d[i]*(x[i]+1)<=n)norm(add[i+d[i]*(x[i]+1)][d[i]]-=dp[i]);
}else{
for(int j=1;j<=x[i]&&i+1LL*j*d[i]<=n;j++){
norm(dp[i+j*d[i]]+=dp[i]);
}
}
norm(ans+=dp[i]);
}
cout << ans;
}
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