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Submission #1052867

# Submission time Handle Problem Language Result Execution time Memory
1052867 2024-08-11T05:05:30 Z vjudge1 Trains (BOI24_trains) C++17
100 / 100
 83 ms 252644 KB 
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define vll vector<ll>
#define all(x) begin(x),end(x)
#define pb push_back

const int N=1e5+500,mod=1e9+7;
const int SQ=317;
ll sm[N][SQ];
ll ways[N],d[N],x[N];
void solve()
{
    ll n;
    cin>>n;
    for(int i=1;i<=n;i++)
    {
        cin>>d[i]>>x[i];
        ways[i]=1;
    }
    for(int i=n;i>=1;i--)
    {
        if(d[i]==0)
        {
            ways[i]=1;
        }
        else{
            if(d[i]<SQ)
            {
                ll j=i+(x[i]*d[i]);
                // maximum x such x<=n and x%d[i] == i%d[i]
                // y = i%d[i]
                //x = k*d + y
                // (k*d) + y <=n 
                // i + (k*d) <= n
                // (k)<= (n-i)/d
                ll ny=(((n-i)/d[i])*d[i]) + i;
                ny=min(ny,j);
                ways[i]=(((sm[i+d[i]][d[i]]-sm[ny+d[i]][d[i]])%mod)+mod)%mod;
                ways[i] = (ways[i]+1)%mod;
            }
            else
            {
                for(int t=1;t<=x[i] and (i+(d[i]*t))<=n;t++)
                    ways[i]=(ways[i]+ways[i+(d[i]*t)])%mod;
            }
        }
        for(int j=1;j<SQ;j++)
            sm[i][j]=(sm[i+j][j]+ways[i])%mod;
    }
    cout<<ways[1]%mod<<endl;
}

int main()
{
	cin.tie(0);cout.tie(0);
	ios::sync_with_stdio(0);
	int t=1;
	// cin>>t;
	while(t--)
		solve();
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 0 ms 2396 KB Output is correct
19 Correct 0 ms 2396 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 0 ms 2396 KB Output is correct
19 Correct 0 ms 2396 KB Output is correct
20 Correct 5 ms 23132 KB Output is correct
21 Correct 3 ms 9820 KB Output is correct
22 Correct 6 ms 27484 KB Output is correct
23 Correct 5 ms 18604 KB Output is correct
24 Correct 3 ms 12636 KB Output is correct
25 Correct 7 ms 24912 KB Output is correct
26 Correct 3 ms 13660 KB Output is correct
27 Correct 6 ms 23900 KB Output is correct
28 Correct 7 ms 27484 KB Output is correct
29 Correct 7 ms 27484 KB Output is correct
30 Correct 10 ms 27508 KB Output is correct
31 Correct 7 ms 27520 KB Output is correct
32 Correct 7 ms 27480 KB Output is correct
33 Correct 6 ms 27484 KB Output is correct
34 Correct 7 ms 27484 KB Output is correct
35 Correct 6 ms 27480 KB Output is correct
36 Correct 6 ms 27524 KB Output is correct

Subtask #3
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 5 ms 18744 KB Output is correct
3 Correct 3 ms 13660 KB Output is correct
4 Correct 6 ms 23880 KB Output is correct
5 Correct 47 ms 194388 KB Output is correct
6 Correct 62 ms 250704 KB Output is correct
7 Correct 64 ms 250936 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 7 ms 27520 KB Output is correct
12 Correct 63 ms 250856 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 6 ms 27484 KB Output is correct
15 Correct 63 ms 250708 KB Output is correct

Subtask #4
34.0 / 34.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 122204 KB Output is correct
2 Correct 26 ms 101980 KB Output is correct
3 Correct 63 ms 250848 KB Output is correct
4 Correct 46 ms 180356 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 6 ms 27524 KB Output is correct
8 Correct 72 ms 250864 KB Output is correct

Subtask #5
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 0 ms 2396 KB Output is correct
19 Correct 0 ms 2396 KB Output is correct
20 Correct 5 ms 23132 KB Output is correct
21 Correct 3 ms 9820 KB Output is correct
22 Correct 6 ms 27484 KB Output is correct
23 Correct 5 ms 18604 KB Output is correct
24 Correct 3 ms 12636 KB Output is correct
25 Correct 7 ms 24912 KB Output is correct
26 Correct 3 ms 13660 KB Output is correct
27 Correct 6 ms 23900 KB Output is correct
28 Correct 7 ms 27484 KB Output is correct
29 Correct 7 ms 27484 KB Output is correct
30 Correct 10 ms 27508 KB Output is correct
31 Correct 7 ms 27520 KB Output is correct
32 Correct 7 ms 27480 KB Output is correct
33 Correct 6 ms 27484 KB Output is correct
34 Correct 7 ms 27484 KB Output is correct
35 Correct 6 ms 27480 KB Output is correct
36 Correct 6 ms 27524 KB Output is correct
37 Correct 0 ms 2396 KB Output is correct
38 Correct 5 ms 18744 KB Output is correct
39 Correct 3 ms 13660 KB Output is correct
40 Correct 6 ms 23880 KB Output is correct
41 Correct 47 ms 194388 KB Output is correct
42 Correct 62 ms 250704 KB Output is correct
43 Correct 64 ms 250936 KB Output is correct
44 Correct 1 ms 2392 KB Output is correct
45 Correct 0 ms 2396 KB Output is correct
46 Correct 0 ms 2396 KB Output is correct
47 Correct 7 ms 27520 KB Output is correct
48 Correct 63 ms 250856 KB Output is correct
49 Correct 1 ms 2396 KB Output is correct
50 Correct 6 ms 27484 KB Output is correct
51 Correct 63 ms 250708 KB Output is correct
52 Correct 31 ms 122204 KB Output is correct
53 Correct 26 ms 101980 KB Output is correct
54 Correct 63 ms 250848 KB Output is correct
55 Correct 46 ms 180356 KB Output is correct
56 Correct 1 ms 2396 KB Output is correct
57 Correct 0 ms 2396 KB Output is correct
58 Correct 6 ms 27524 KB Output is correct
59 Correct 72 ms 250864 KB Output is correct
60 Correct 53 ms 209492 KB Output is correct
61 Correct 70 ms 250704 KB Output is correct
62 Correct 62 ms 251472 KB Output is correct
63 Correct 62 ms 251628 KB Output is correct
64 Correct 64 ms 252644 KB Output is correct
65 Correct 83 ms 252060 KB Output is correct
66 Correct 65 ms 251984 KB Output is correct
67 Correct 69 ms 252296 KB Output is correct
68 Correct 64 ms 252108 KB Output is correct
69 Correct 68 ms 251588 KB Output is correct
70 Correct 64 ms 251840 KB Output is correct
71 Correct 69 ms 251732 KB Output is correct
72 Correct 63 ms 251880 KB Output is correct