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Submission #999302

# Submission time Handle Problem Language Result Execution time Memory
999302 2024-06-15T09:37:45 Z hengliao Trains (BOI24_trains) C++17
100 / 100
 145 ms 7764 KB 
#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;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory 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

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory 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

Subtask #3
16.0 / 16.0

# Verdict Execution time Memory 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

Subtask #4
34.0 / 34.0

# Verdict Execution time Memory 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

Subtask #5
29.0 / 29.0

# Verdict Execution time Memory 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