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>
#define f first
#define s second
#define int long long
using namespace std;
const int N = 1e5 + 69;
const int B = 320;
const int mod = 1e9 + 7;
int n, d[N], x[N], dp[N];
vector<int> cnt[B];
vector<tuple<int, int, int>> who[N];
int add(int x, int y) {
x += y;
if (x >= mod)
x -= mod;
return x;
}
int sub(int x, int y) {
x -= y;
x = (x + 1000ll * mod) % mod;
return x;
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int tt = 1;
//cin >> tt;
while (tt--) {
cin >> n;
for (int i = 1;i <= n;i++) {
cin >> d[i] >> x[i];
x[i] = min(x[i], n);
}
for (int i = 1;i < B;i++)
cnt[i].resize(i);
dp[1] = 1;
for (int i = 1;i <= n;i++) {
for (int j = 1;j < B;j++) {
int x = i % j;
dp[i] = add(dp[i], cnt[j][x]);
}
if (d[i] >= B) {
for (int j = i + d[i], j1 = 1;j <= n && j1 <= x[i];j += d[i], j1++) {
dp[j] = add(dp[j], dp[i]);
}
}
else {
if (d[i] != 0) {
int when = i + x[i] * d[i];
if (when <= n)
who[when].push_back({d[i], i % d[i], dp[i]});
cnt[d[i]][i % d[i]] = add(cnt[d[i]][i % d[i]], dp[i]);
}
}
for (auto j : who[i]) {
int a, b, c;
tie(a, b, c) = j;
cnt[a][b] = sub(cnt[a][b], c);
}
}
int ans = 0;
for (int i = 1;i <= n;i++)
ans = add(ans, dp[i]);
cout << ans;
}
return 0;
}
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