This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#ifdef LOCAL
#include "D:\debug.h"
#else
#define cebug(...) "anHiepORZ"
#endif
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include <bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
#define ordered_set tree<int, null_type,less_equal<int>, rb_tree_tag,tree_order_statistics_node_update>
//less: set
//less_equal: multiset (ko dung dc ham ...)
#define fi first
#define se second
#define pb push_back
//COUNTDOWN: 9 days left
//COUNTDOWN: 9 days left
//COUNTDOWN: 9 days left
//COUNTDOWN: 9 days left
//COUNTDOWN: 9 days left
//COUNTDOWN: 9 days left
//COUNTDOWN: 9 days left
//COUNTDOWN: 9 days left
#define int long long
const int N = 1e5 + 10;
const int mod = 1e9 + 7;
const int oo = 1e18;
int n;
pair<int,int> a[N];
int dp[N];
const int S = 316;
int rem[S + 10][S + 10];
vector<pair<pair<int,int>, int>> del[N];
void solve(){
cin >> n;
for(int i = 1; i <= n; i++){
cin >> a[i].first >> a[i].second;
}
// dp[1] = 1;
// int ans = 1;
// for(int i = 2; i <= n; i++){
// for(int j = 1; j < i; j++){
// if(a[j].first == 0 || (i - j) % a[j].first) continue;
// if(i > j + a[j].second * a[j].first) continue;
// dp[i] = (dp[i] + dp[j])%mod;
// }
// ans = (ans + dp[i])%mod;
// }
// cout << ans;
dp[1] = 1;
for(int i = 1; i <= n; i++){
// cebug(i);
//del:
for(auto &x : del[i]){
rem[x.first.first][x.first.second] = (rem[x.first.first][x.first.second] - x.second)%mod;
}
// cebug(1);
//add:
for(int j = 1; j < S; j++){
dp[i] = (dp[i] + rem[j][i % j])%mod;
}
// cebug(2);
// cebug(a[i]);
//pr:
if(a[i].first == 0) continue;
if(a[i].first >= S){
int x = 1;
for(int j = i + a[i].first; j <= n; j += a[i].first){
if(x > a[i].second) break;
x++;
dp[j] = (dp[j] + dp[i])%mod;
}
}
else{
rem[a[i].first][i % a[i].first] = (rem[a[i].first][i % a[i].first] + dp[i]) %mod;
del[min(n + 1, i + a[i].first * a[i].second + 1)].push_back(make_pair(make_pair(a[i].first, i % a[i].first), dp[i] % mod));
}
}
int sum = 0;
for(int i = 1; i <= n; i++) sum = (sum + dp[i]) % mod;
cout << sum;
}
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int tc; tc = 1;
while(tc--)
solve();
return 0;
}
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