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Submission #1011697

# Submission time Handle Problem Language Result Execution time Memory
1011697 2024-07-01T06:33:46 Z ttamx Trains (BOI24_trains) C++17
100 / 100
 147 ms 89204 KB 
#include <bits/stdc++.h>

using namespace std;

const int N=1e5+5;
const int K=224;
const int MOD=1e9+7;

int n;
int d[N],x[N];
int dp[N],add[N][K];
int ans;

void norm(int &x){
    if(x<0)x+=MOD;
    if(x>=MOD)x-=MOD;
}

int main(){
    cin.tie(nullptr)->sync_with_stdio(false);
    cin >> n;
    for(int i=1;i<=n;i++)cin >> d[i] >> x[i];
    dp[1]=1;
    for(int i=1;i<=n;i++){
        for(int j=0;j<K;j++){
            if(i-j>=0)norm(add[i][j]+=add[i-j][j]);
            norm(dp[i]+=add[i][j]);
        }
        if(d[i]<K){
            if(i+d[i]<=n)norm(add[i+d[i]][d[i]]+=dp[i]);
            if(i+1LL*d[i]*(x[i]+1)<=n)norm(add[i+d[i]*(x[i]+1)][d[i]]-=dp[i]);
        }else{
            for(int j=1;j<=x[i]&&i+1LL*j*d[i]<=n;j++){
                norm(dp[i+j*d[i]]+=dp[i]);
            }
        }
        norm(ans+=dp[i]);
    }
    cout << ans;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 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 1 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 0 ms 2428 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 1 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 1 ms 2396 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 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 1 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 0 ms 2428 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 1 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 1 ms 2396 KB Output is correct
20 Correct 8 ms 9776 KB Output is correct
21 Correct 3 ms 4956 KB Output is correct
22 Correct 9 ms 11284 KB Output is correct
23 Correct 6 ms 8028 KB Output is correct
24 Correct 4 ms 5980 KB Output is correct
25 Correct 12 ms 10332 KB Output is correct
26 Correct 5 ms 6236 KB Output is correct
27 Correct 7 ms 9884 KB Output is correct
28 Correct 8 ms 11100 KB Output is correct
29 Correct 9 ms 11100 KB Output is correct
30 Correct 9 ms 11096 KB Output is correct
31 Correct 8 ms 11236 KB Output is correct
32 Correct 9 ms 11100 KB Output is correct
33 Correct 9 ms 11100 KB Output is correct
34 Correct 10 ms 11100 KB Output is correct
35 Correct 11 ms 11144 KB Output is correct
36 Correct 16 ms 11100 KB Output is correct

Subtask #3
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 6 ms 8168 KB Output is correct
3 Correct 4 ms 6236 KB Output is correct
4 Correct 11 ms 9820 KB Output is correct
5 Correct 56 ms 70648 KB Output is correct
6 Correct 80 ms 89160 KB Output is correct
7 Correct 83 ms 89168 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 8 ms 11100 KB Output is correct
12 Correct 80 ms 89204 KB Output is correct
13 Correct 1 ms 2392 KB Output is correct
14 Correct 7 ms 11100 KB Output is correct
15 Correct 77 ms 89100 KB Output is correct

Subtask #4
34.0 / 34.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 44888 KB Output is correct
2 Correct 32 ms 37508 KB Output is correct
3 Correct 77 ms 89168 KB Output is correct
4 Correct 55 ms 65368 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 8 ms 11124 KB Output is correct
8 Correct 102 ms 89172 KB Output is correct

Subtask #5
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 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 1 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 0 ms 2428 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 1 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 1 ms 2396 KB Output is correct
20 Correct 8 ms 9776 KB Output is correct
21 Correct 3 ms 4956 KB Output is correct
22 Correct 9 ms 11284 KB Output is correct
23 Correct 6 ms 8028 KB Output is correct
24 Correct 4 ms 5980 KB Output is correct
25 Correct 12 ms 10332 KB Output is correct
26 Correct 5 ms 6236 KB Output is correct
27 Correct 7 ms 9884 KB Output is correct
28 Correct 8 ms 11100 KB Output is correct
29 Correct 9 ms 11100 KB Output is correct
30 Correct 9 ms 11096 KB Output is correct
31 Correct 8 ms 11236 KB Output is correct
32 Correct 9 ms 11100 KB Output is correct
33 Correct 9 ms 11100 KB Output is correct
34 Correct 10 ms 11100 KB Output is correct
35 Correct 11 ms 11144 KB Output is correct
36 Correct 16 ms 11100 KB Output is correct
37 Correct 1 ms 2396 KB Output is correct
38 Correct 6 ms 8168 KB Output is correct
39 Correct 4 ms 6236 KB Output is correct
40 Correct 11 ms 9820 KB Output is correct
41 Correct 56 ms 70648 KB Output is correct
42 Correct 80 ms 89160 KB Output is correct
43 Correct 83 ms 89168 KB Output is correct
44 Correct 1 ms 2396 KB Output is correct
45 Correct 1 ms 2396 KB Output is correct
46 Correct 0 ms 2396 KB Output is correct
47 Correct 8 ms 11100 KB Output is correct
48 Correct 80 ms 89204 KB Output is correct
49 Correct 1 ms 2392 KB Output is correct
50 Correct 7 ms 11100 KB Output is correct
51 Correct 77 ms 89100 KB Output is correct
52 Correct 50 ms 44888 KB Output is correct
53 Correct 32 ms 37508 KB Output is correct
54 Correct 77 ms 89168 KB Output is correct
55 Correct 55 ms 65368 KB Output is correct
56 Correct 1 ms 2392 KB Output is correct
57 Correct 0 ms 2396 KB Output is correct
58 Correct 8 ms 11124 KB Output is correct
59 Correct 102 ms 89172 KB Output is correct
60 Correct 91 ms 75752 KB Output is correct
61 Correct 98 ms 89172 KB Output is correct
62 Correct 81 ms 89172 KB Output is correct
63 Correct 80 ms 89168 KB Output is correct
64 Correct 86 ms 89128 KB Output is correct
65 Correct 139 ms 89168 KB Output is correct
66 Correct 113 ms 89196 KB Output is correct
67 Correct 89 ms 89172 KB Output is correct
68 Correct 82 ms 89140 KB Output is correct
69 Correct 122 ms 89172 KB Output is correct
70 Correct 83 ms 89096 KB Output is correct
71 Correct 81 ms 89172 KB Output is correct
72 Correct 147 ms 89172 KB Output is correct