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Submission #1000877

# Submission time Handle Problem Language Result Execution time Memory
1000877 2024-06-18T10:52:31 Z Szil Trains (BOI24_trains) C++17
100 / 100
 201 ms 315816 KB 
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

const int MAXN = 100'001;
const int K = 400;
const ll MOD = 1e9+7;

ll dp[MAXN];
ll cnt[MAXN][K];
ll d[MAXN], x[MAXN];

int main() {
    ios::sync_with_stdio(0); cin.tie(0);
    int n; cin >> n;
    for (int i = 1; i <= n; i++) {
        cin >> d[i] >> x[i];
    }
    for (int i = n; i >= 1; i--) {
        if (d[i] >= K) {
            dp[i] = 1;
            for (ll j = i+d[i]; d[i] != 0 && j <= n && j <= i+d[i]*x[i]; j+=d[i]) {
                dp[i] += dp[j];
                dp[i] %= MOD;
            }
            dp[i] %= MOD;
        } else {
            dp[i] = 1;
            if (d[i] != 0) {
                if (i + d[i] <= n) dp[i] += cnt[i + d[i]][d[i]];
                if (i + d[i] * (x[i] + 1) <= n) dp[i] -= cnt[i + d[i] * (x[i] + 1)][d[i]];
                dp[i] %= MOD;
            }
        }
        for (int j = 1; j < K; j++) {
            cnt[i][j] = dp[i];
            if (i + j <= n) cnt[i][j] += cnt[i+j][j];
            cnt[i][j] %= MOD;
        }
    }

    cout << (dp[1] + MOD) % MOD << "\n";
    return 0;
}

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 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2392 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 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 2444 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 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2392 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 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 2444 KB Output is correct
20 Correct 16 ms 29152 KB Output is correct
21 Correct 5 ms 12820 KB Output is correct
22 Correct 15 ms 33368 KB Output is correct
23 Correct 8 ms 23132 KB Output is correct
24 Correct 5 ms 14848 KB Output is correct
25 Correct 12 ms 31324 KB Output is correct
26 Correct 5 ms 16732 KB Output is correct
27 Correct 14 ms 29276 KB Output is correct
28 Correct 19 ms 33372 KB Output is correct
29 Correct 15 ms 33368 KB Output is correct
30 Correct 17 ms 33372 KB Output is correct
31 Correct 17 ms 33252 KB Output is correct
32 Correct 13 ms 33372 KB Output is correct
33 Correct 16 ms 33368 KB Output is correct
34 Correct 14 ms 33372 KB Output is correct
35 Correct 16 ms 33372 KB Output is correct
36 Correct 14 ms 33372 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 8 ms 23132 KB Output is correct
3 Correct 5 ms 16920 KB Output is correct
4 Correct 12 ms 29240 KB Output is correct
5 Correct 130 ms 245332 KB Output is correct
6 Correct 188 ms 315728 KB Output is correct
7 Correct 176 ms 315728 KB Output is correct
8 Correct 0 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 14 ms 33372 KB Output is correct
12 Correct 180 ms 315728 KB Output is correct
13 Correct 1 ms 2392 KB Output is correct
14 Correct 14 ms 33368 KB Output is correct
15 Correct 175 ms 315668 KB Output is correct

Subtask #4
34.0 / 34.0

# Verdict Execution time Memory Grader output
1 Correct 108 ms 154704 KB Output is correct
2 Correct 68 ms 127940 KB Output is correct
3 Correct 178 ms 315728 KB Output is correct
4 Correct 125 ms 226900 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 19 ms 33372 KB Output is correct
8 Correct 177 ms 315740 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 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2392 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 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 2444 KB Output is correct
20 Correct 16 ms 29152 KB Output is correct
21 Correct 5 ms 12820 KB Output is correct
22 Correct 15 ms 33368 KB Output is correct
23 Correct 8 ms 23132 KB Output is correct
24 Correct 5 ms 14848 KB Output is correct
25 Correct 12 ms 31324 KB Output is correct
26 Correct 5 ms 16732 KB Output is correct
27 Correct 14 ms 29276 KB Output is correct
28 Correct 19 ms 33372 KB Output is correct
29 Correct 15 ms 33368 KB Output is correct
30 Correct 17 ms 33372 KB Output is correct
31 Correct 17 ms 33252 KB Output is correct
32 Correct 13 ms 33372 KB Output is correct
33 Correct 16 ms 33368 KB Output is correct
34 Correct 14 ms 33372 KB Output is correct
35 Correct 16 ms 33372 KB Output is correct
36 Correct 14 ms 33372 KB Output is correct
37 Correct 0 ms 2396 KB Output is correct
38 Correct 8 ms 23132 KB Output is correct
39 Correct 5 ms 16920 KB Output is correct
40 Correct 12 ms 29240 KB Output is correct
41 Correct 130 ms 245332 KB Output is correct
42 Correct 188 ms 315728 KB Output is correct
43 Correct 176 ms 315728 KB Output is correct
44 Correct 0 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 14 ms 33372 KB Output is correct
48 Correct 180 ms 315728 KB Output is correct
49 Correct 1 ms 2392 KB Output is correct
50 Correct 14 ms 33368 KB Output is correct
51 Correct 175 ms 315668 KB Output is correct
52 Correct 108 ms 154704 KB Output is correct
53 Correct 68 ms 127940 KB Output is correct
54 Correct 178 ms 315728 KB Output is correct
55 Correct 125 ms 226900 KB Output is correct
56 Correct 0 ms 2396 KB Output is correct
57 Correct 0 ms 2396 KB Output is correct
58 Correct 19 ms 33372 KB Output is correct
59 Correct 177 ms 315740 KB Output is correct
60 Correct 151 ms 263764 KB Output is correct
61 Correct 175 ms 315728 KB Output is correct
62 Correct 174 ms 315816 KB Output is correct
63 Correct 170 ms 315804 KB Output is correct
64 Correct 176 ms 315732 KB Output is correct
65 Correct 201 ms 315728 KB Output is correct
66 Correct 172 ms 315732 KB Output is correct
67 Correct 182 ms 315812 KB Output is correct
68 Correct 175 ms 315732 KB Output is correct
69 Correct 180 ms 315764 KB Output is correct
70 Correct 185 ms 315732 KB Output is correct
71 Correct 171 ms 315724 KB Output is correct
72 Correct 171 ms 315728 KB Output is correct