#include<bits/stdc++.h>
#include <chrono>
#include <random>
using namespace std;
#define F first
#define S second
#define pb push_back
#define vll vector<ll>
#define pll pair<ll, ll>
typedef long long ll;
const ll mxN=1e5+5;
const ll A=300;
ll dv[A][A];
ll n;
ll dp[mxN];
ll d[mxN], x[mxN];
vll ot[mxN];
const ll mod=1e9+7;
void solve(){
memset(dp, 0, sizeof(dp));
memset(dv, 0, sizeof(dv));
cin>>n;
for(ll i=0;i<n;i++){
cin>>d[i]>>x[i];
}
ll ans=0;
dp[0]=1;
for(ll i=0;i<n;i++){
for(auto &it:ot[i]){
dv[d[it]][it%d[it]]-=dp[it];
dv[d[it]][it%d[it]]%=mod;
if(dv[d[it]][it%d[it]]<0) dv[d[it]][it%d[it]]+=mod;
}
//cout<<i<<' '<<dp[i]<<'\n';
for(ll j=1;j<A;j++){
dp[i]+=dv[j][i%j];
dp[i]%=mod;
}
ans+=dp[i];
//cout<<i<<' '<<dp[i]<<'\n';
ans%=mod;
if(d[i]==0) continue;
if(d[i]>=A){
for(ll j=1;j<=x[i];j++){
if(i+d[i]*j>=n) break;
dp[i+d[i]*j]+=dp[i];
dp[i+d[i]*j]%=mod;
}
}
else{
dv[d[i]][i%d[i]]+=dp[i];
dv[d[i]][i%d[i]]%=mod;
if(i+d[i]*x[i]+1<n) ot[i+d[i]*x[i]+1].pb(i);
}
}
cout<<ans<<'\n';
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
solve();
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
5720 KB |
Output is correct |
2 |
Correct |
1 ms |
5788 KB |
Output is correct |
3 |
Correct |
1 ms |
5724 KB |
Output is correct |
4 |
Correct |
1 ms |
5724 KB |
Output is correct |
5 |
Correct |
1 ms |
5724 KB |
Output is correct |
6 |
Correct |
1 ms |
5724 KB |
Output is correct |
7 |
Correct |
1 ms |
5720 KB |
Output is correct |
8 |
Correct |
1 ms |
5724 KB |
Output is correct |
9 |
Correct |
1 ms |
5724 KB |
Output is correct |
10 |
Correct |
2 ms |
5724 KB |
Output is correct |
11 |
Correct |
2 ms |
5720 KB |
Output is correct |
12 |
Correct |
1 ms |
5724 KB |
Output is correct |
13 |
Correct |
1 ms |
5724 KB |
Output is correct |
14 |
Correct |
1 ms |
5724 KB |
Output is correct |
15 |
Correct |
1 ms |
5724 KB |
Output is correct |
16 |
Correct |
1 ms |
5724 KB |
Output is correct |
17 |
Correct |
1 ms |
5720 KB |
Output is correct |
18 |
Correct |
1 ms |
5724 KB |
Output is correct |
19 |
Correct |
1 ms |
5724 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
5720 KB |
Output is correct |
2 |
Correct |
1 ms |
5788 KB |
Output is correct |
3 |
Correct |
1 ms |
5724 KB |
Output is correct |
4 |
Correct |
1 ms |
5724 KB |
Output is correct |
5 |
Correct |
1 ms |
5724 KB |
Output is correct |
6 |
Correct |
1 ms |
5724 KB |
Output is correct |
7 |
Correct |
1 ms |
5720 KB |
Output is correct |
8 |
Correct |
1 ms |
5724 KB |
Output is correct |
9 |
Correct |
1 ms |
5724 KB |
Output is correct |
10 |
Correct |
2 ms |
5724 KB |
Output is correct |
11 |
Correct |
2 ms |
5720 KB |
Output is correct |
12 |
Correct |
1 ms |
5724 KB |
Output is correct |
13 |
Correct |
1 ms |
5724 KB |
Output is correct |
14 |
Correct |
1 ms |
5724 KB |
Output is correct |
15 |
Correct |
1 ms |
5724 KB |
Output is correct |
16 |
Correct |
1 ms |
5724 KB |
Output is correct |
17 |
Correct |
1 ms |
5720 KB |
Output is correct |
18 |
Correct |
1 ms |
5724 KB |
Output is correct |
19 |
Correct |
1 ms |
5724 KB |
Output is correct |
20 |
Correct |
13 ms |
5724 KB |
Output is correct |
21 |
Correct |
5 ms |
5724 KB |
Output is correct |
22 |
Correct |
14 ms |
5888 KB |
Output is correct |
23 |
Correct |
10 ms |
5724 KB |
Output is correct |
24 |
Correct |
7 ms |
5864 KB |
Output is correct |
25 |
Correct |
14 ms |
5724 KB |
Output is correct |
26 |
Correct |
8 ms |
5724 KB |
Output is correct |
27 |
Correct |
13 ms |
5860 KB |
Output is correct |
28 |
Correct |
14 ms |
5724 KB |
Output is correct |
29 |
Correct |
15 ms |
5724 KB |
Output is correct |
30 |
Correct |
14 ms |
5720 KB |
Output is correct |
31 |
Correct |
14 ms |
5724 KB |
Output is correct |
32 |
Correct |
16 ms |
5724 KB |
Output is correct |
33 |
Correct |
15 ms |
5980 KB |
Output is correct |
34 |
Correct |
14 ms |
5720 KB |
Output is correct |
35 |
Correct |
14 ms |
5864 KB |
Output is correct |
36 |
Correct |
14 ms |
5868 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
5720 KB |
Output is correct |
2 |
Correct |
11 ms |
5724 KB |
Output is correct |
3 |
Correct |
7 ms |
5720 KB |
Output is correct |
4 |
Correct |
13 ms |
5724 KB |
Output is correct |
5 |
Correct |
106 ms |
7336 KB |
Output is correct |
6 |
Correct |
142 ms |
5724 KB |
Output is correct |
7 |
Correct |
142 ms |
6120 KB |
Output is correct |
8 |
Correct |
1 ms |
5976 KB |
Output is correct |
9 |
Correct |
1 ms |
5720 KB |
Output is correct |
10 |
Correct |
1 ms |
5724 KB |
Output is correct |
11 |
Correct |
15 ms |
5856 KB |
Output is correct |
12 |
Correct |
143 ms |
5836 KB |
Output is correct |
13 |
Correct |
1 ms |
5720 KB |
Output is correct |
14 |
Correct |
17 ms |
5724 KB |
Output is correct |
15 |
Correct |
145 ms |
5724 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
63 ms |
5724 KB |
Output is correct |
2 |
Correct |
53 ms |
5724 KB |
Output is correct |
3 |
Correct |
128 ms |
5724 KB |
Output is correct |
4 |
Correct |
94 ms |
5724 KB |
Output is correct |
5 |
Correct |
1 ms |
5724 KB |
Output is correct |
6 |
Correct |
1 ms |
5724 KB |
Output is correct |
7 |
Correct |
15 ms |
5852 KB |
Output is correct |
8 |
Correct |
143 ms |
5832 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
5720 KB |
Output is correct |
2 |
Correct |
1 ms |
5788 KB |
Output is correct |
3 |
Correct |
1 ms |
5724 KB |
Output is correct |
4 |
Correct |
1 ms |
5724 KB |
Output is correct |
5 |
Correct |
1 ms |
5724 KB |
Output is correct |
6 |
Correct |
1 ms |
5724 KB |
Output is correct |
7 |
Correct |
1 ms |
5720 KB |
Output is correct |
8 |
Correct |
1 ms |
5724 KB |
Output is correct |
9 |
Correct |
1 ms |
5724 KB |
Output is correct |
10 |
Correct |
2 ms |
5724 KB |
Output is correct |
11 |
Correct |
2 ms |
5720 KB |
Output is correct |
12 |
Correct |
1 ms |
5724 KB |
Output is correct |
13 |
Correct |
1 ms |
5724 KB |
Output is correct |
14 |
Correct |
1 ms |
5724 KB |
Output is correct |
15 |
Correct |
1 ms |
5724 KB |
Output is correct |
16 |
Correct |
1 ms |
5724 KB |
Output is correct |
17 |
Correct |
1 ms |
5720 KB |
Output is correct |
18 |
Correct |
1 ms |
5724 KB |
Output is correct |
19 |
Correct |
1 ms |
5724 KB |
Output is correct |
20 |
Correct |
13 ms |
5724 KB |
Output is correct |
21 |
Correct |
5 ms |
5724 KB |
Output is correct |
22 |
Correct |
14 ms |
5888 KB |
Output is correct |
23 |
Correct |
10 ms |
5724 KB |
Output is correct |
24 |
Correct |
7 ms |
5864 KB |
Output is correct |
25 |
Correct |
14 ms |
5724 KB |
Output is correct |
26 |
Correct |
8 ms |
5724 KB |
Output is correct |
27 |
Correct |
13 ms |
5860 KB |
Output is correct |
28 |
Correct |
14 ms |
5724 KB |
Output is correct |
29 |
Correct |
15 ms |
5724 KB |
Output is correct |
30 |
Correct |
14 ms |
5720 KB |
Output is correct |
31 |
Correct |
14 ms |
5724 KB |
Output is correct |
32 |
Correct |
16 ms |
5724 KB |
Output is correct |
33 |
Correct |
15 ms |
5980 KB |
Output is correct |
34 |
Correct |
14 ms |
5720 KB |
Output is correct |
35 |
Correct |
14 ms |
5864 KB |
Output is correct |
36 |
Correct |
14 ms |
5868 KB |
Output is correct |
37 |
Correct |
2 ms |
5720 KB |
Output is correct |
38 |
Correct |
11 ms |
5724 KB |
Output is correct |
39 |
Correct |
7 ms |
5720 KB |
Output is correct |
40 |
Correct |
13 ms |
5724 KB |
Output is correct |
41 |
Correct |
106 ms |
7336 KB |
Output is correct |
42 |
Correct |
142 ms |
5724 KB |
Output is correct |
43 |
Correct |
142 ms |
6120 KB |
Output is correct |
44 |
Correct |
1 ms |
5976 KB |
Output is correct |
45 |
Correct |
1 ms |
5720 KB |
Output is correct |
46 |
Correct |
1 ms |
5724 KB |
Output is correct |
47 |
Correct |
15 ms |
5856 KB |
Output is correct |
48 |
Correct |
143 ms |
5836 KB |
Output is correct |
49 |
Correct |
1 ms |
5720 KB |
Output is correct |
50 |
Correct |
17 ms |
5724 KB |
Output is correct |
51 |
Correct |
145 ms |
5724 KB |
Output is correct |
52 |
Correct |
63 ms |
5724 KB |
Output is correct |
53 |
Correct |
53 ms |
5724 KB |
Output is correct |
54 |
Correct |
128 ms |
5724 KB |
Output is correct |
55 |
Correct |
94 ms |
5724 KB |
Output is correct |
56 |
Correct |
1 ms |
5724 KB |
Output is correct |
57 |
Correct |
1 ms |
5724 KB |
Output is correct |
58 |
Correct |
15 ms |
5852 KB |
Output is correct |
59 |
Correct |
143 ms |
5832 KB |
Output is correct |
60 |
Correct |
106 ms |
5724 KB |
Output is correct |
61 |
Correct |
128 ms |
5844 KB |
Output is correct |
62 |
Correct |
143 ms |
7764 KB |
Output is correct |
63 |
Correct |
130 ms |
5720 KB |
Output is correct |
64 |
Correct |
129 ms |
5720 KB |
Output is correct |
65 |
Correct |
145 ms |
5724 KB |
Output is correct |
66 |
Correct |
128 ms |
5724 KB |
Output is correct |
67 |
Correct |
133 ms |
5720 KB |
Output is correct |
68 |
Correct |
132 ms |
5724 KB |
Output is correct |
69 |
Correct |
140 ms |
7420 KB |
Output is correct |
70 |
Correct |
132 ms |
5832 KB |
Output is correct |
71 |
Correct |
127 ms |
5840 KB |
Output is correct |
72 |
Correct |
129 ms |
5848 KB |
Output is correct |