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 MOD 1000000007
#define FOR(i, s, e) for(int i = s; i < e; i++)
#define REP(i, n) for(int i = 0; i < n; i++)
#define fir first
#define sec second
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef vector<bool> vb;
typedef vector<pii> vpii;
typedef vector<vpii> vvpii;
typedef vector<pll> vpll;
typedef vector<vpll> vvpll;
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n;
cin>>n;
vll d(n), x(n);
bool fl = true;
REP(i, n) {
cin>>d[i]>>x[i];
if(d[i] != 1) {
fl = false;
}
}
if(n == 1) {
cout<<1;
return 0;
}
vll dp(n, 0);
dp[0] = 1ll;
if(n <= 10000) {
int nex;
REP(i, n) {
if(d[i] == 0) {
continue;
}
FOR(j, 1, x[i]+1) {
nex = i + d[i] * j;
if(nex >= n) {
break;
}
dp[nex] = (dp[nex] + dp[i]) % MOD;
//cout<<i+1<<' '<<nex+1<<' '<<dp[nex]<<' '<<dp[i]<<endl;
}
}
ll ans = 0;
REP(i, n) {
ans = (ans + dp[i]) % MOD;
}
cout<<ans;
return 0;
}
if(fl) {
ll sum = 1;
priority_queue<pll, vpll, greater<pll>> pq;
pq.push({x[0], 0ll});
FOR(i, 1, n) {
while(!pq.empty() && pq.top().fir < i) {
sum = (sum - dp[pq.top().sec]) % MOD;
pq.pop();
}
dp[i] = sum;
sum = (sum * 2) % MOD;
pq.push({x[i] + i, i});
}
ll ans = 0;
REP(i, n) {
ans = (ans + dp[i]) % MOD;
}
cout<<ans;
return 0;
}
}
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