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Submission #1058812

# Submission time Handle Problem Language Result Execution time Memory
1058812 2024-08-14T14:03:00 Z Tonyl Trains (BOI24_trains) C++17
100 / 100
 448 ms 191916 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vi = vector<int>;
using pi = pair<int,int>;
#define REP(i,n) for (int i = 0; i < n; i++)
#define trav(a,x) for (auto& a : x)
#define D(x) cerr << #x << ": " << x << endl;
#define all(x) (x).begin(), (x).end()

const int MOD = 1e9+7;
const int MAX_N = 1e5+1;
const int SQRT = 320;

struct Prefix {
    vi pr = {0};

    int q(int x) {
        if (x <= 0) return 0;
        int r = pr.back();
        int l = pr.size()>x ? pr[pr.size()-1-x] : 0;
        return (MOD+r-l)%MOD;
    }

    void add(int a) {
        pr.push_back((pr.back()+a)%MOD);
    }
};

struct Station {
    int d, x;
};

Station stations[MAX_N];
Prefix prsq[SQRT][SQRT+1];
int totals[MAX_N];

int main() {
    ios_base::sync_with_stdio(false); cin.tie(0);

    int n; cin >> n;
    REP(i,n) {
        cin >> stations[i].d >> stations[i].x;
    }

    for (int i = n-1; i >= 0; i--) {
        Station& st = stations[i];
        int tot = 1;
        if (st.d >= SQRT) {
            int j = i+st.d;
            while (j < n && st.x--) {
                tot += totals[j];
                j += st.d;
                tot %= MOD;
            }
        } else if (st.d != 0) tot = prsq[st.d-1][i%st.d].q(st.x)+1;
        for (int s = 0; s < SQRT; s++) {
            int sq = s+1;
            int md = i%sq;
            prsq[s][md].add(tot);
        }
        totals[i] = tot;
    }

    cout << totals[0] << endl;

}

Compilation message

Main.cpp: In member function 'int Prefix::q(int)':
Main.cpp:21:26: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   21 |         int l = pr.size()>x ? pr[pr.size()-1-x] : 0;
      |                 ~~~~~~~~~^~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6232 KB Output is correct
2 Correct 3 ms 6236 KB Output is correct
3 Correct 3 ms 6312 KB Output is correct
4 Correct 3 ms 6236 KB Output is correct
5 Correct 3 ms 6236 KB Output is correct
6 Correct 3 ms 6300 KB Output is correct
7 Correct 3 ms 6236 KB Output is correct
8 Correct 3 ms 6236 KB Output is correct
9 Correct 3 ms 6236 KB Output is correct
10 Correct 5 ms 6236 KB Output is correct
11 Correct 3 ms 6236 KB Output is correct
12 Correct 4 ms 6236 KB Output is correct
13 Correct 4 ms 6236 KB Output is correct
14 Correct 3 ms 6236 KB Output is correct
15 Correct 3 ms 6236 KB Output is correct
16 Correct 3 ms 6236 KB Output is correct
17 Correct 3 ms 6192 KB Output is correct
18 Correct 3 ms 6236 KB Output is correct
19 Correct 3 ms 6236 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6232 KB Output is correct
2 Correct 3 ms 6236 KB Output is correct
3 Correct 3 ms 6312 KB Output is correct
4 Correct 3 ms 6236 KB Output is correct
5 Correct 3 ms 6236 KB Output is correct
6 Correct 3 ms 6300 KB Output is correct
7 Correct 3 ms 6236 KB Output is correct
8 Correct 3 ms 6236 KB Output is correct
9 Correct 3 ms 6236 KB Output is correct
10 Correct 5 ms 6236 KB Output is correct
11 Correct 3 ms 6236 KB Output is correct
12 Correct 4 ms 6236 KB Output is correct
13 Correct 4 ms 6236 KB Output is correct
14 Correct 3 ms 6236 KB Output is correct
15 Correct 3 ms 6236 KB Output is correct
16 Correct 3 ms 6236 KB Output is correct
17 Correct 3 ms 6192 KB Output is correct
18 Correct 3 ms 6236 KB Output is correct
19 Correct 3 ms 6236 KB Output is correct
20 Correct 46 ms 21188 KB Output is correct
21 Correct 21 ms 11100 KB Output is correct
22 Correct 51 ms 25240 KB Output is correct
23 Correct 40 ms 17620 KB Output is correct
24 Correct 27 ms 13136 KB Output is correct
25 Correct 44 ms 22708 KB Output is correct
26 Correct 29 ms 14076 KB Output is correct
27 Correct 44 ms 21860 KB Output is correct
28 Correct 49 ms 25384 KB Output is correct
29 Correct 49 ms 25428 KB Output is correct
30 Correct 51 ms 25424 KB Output is correct
31 Correct 53 ms 25340 KB Output is correct
32 Correct 50 ms 25428 KB Output is correct
33 Correct 49 ms 25424 KB Output is correct
34 Correct 63 ms 25428 KB Output is correct
35 Correct 49 ms 25424 KB Output is correct
36 Correct 50 ms 25416 KB Output is correct

Subtask #3
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 6236 KB Output is correct
2 Correct 36 ms 17796 KB Output is correct
3 Correct 26 ms 14160 KB Output is correct
4 Correct 47 ms 21840 KB Output is correct
5 Correct 307 ms 154948 KB Output is correct
6 Correct 448 ms 190372 KB Output is correct
7 Correct 413 ms 190408 KB Output is correct
8 Correct 3 ms 6232 KB Output is correct
9 Correct 3 ms 6236 KB Output is correct
10 Correct 3 ms 6236 KB Output is correct
11 Correct 51 ms 25412 KB Output is correct
12 Correct 424 ms 190412 KB Output is correct
13 Correct 3 ms 6236 KB Output is correct
14 Correct 58 ms 25328 KB Output is correct
15 Correct 395 ms 190536 KB Output is correct

Subtask #4
34.0 / 34.0

# Verdict Execution time Memory Grader output
1 Correct 217 ms 97844 KB Output is correct
2 Correct 171 ms 85592 KB Output is correct
3 Correct 407 ms 190412 KB Output is correct
4 Correct 305 ms 141200 KB Output is correct
5 Correct 3 ms 6232 KB Output is correct
6 Correct 3 ms 6232 KB Output is correct
7 Correct 50 ms 25428 KB Output is correct
8 Correct 433 ms 190360 KB Output is correct

Subtask #5
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6232 KB Output is correct
2 Correct 3 ms 6236 KB Output is correct
3 Correct 3 ms 6312 KB Output is correct
4 Correct 3 ms 6236 KB Output is correct
5 Correct 3 ms 6236 KB Output is correct
6 Correct 3 ms 6300 KB Output is correct
7 Correct 3 ms 6236 KB Output is correct
8 Correct 3 ms 6236 KB Output is correct
9 Correct 3 ms 6236 KB Output is correct
10 Correct 5 ms 6236 KB Output is correct
11 Correct 3 ms 6236 KB Output is correct
12 Correct 4 ms 6236 KB Output is correct
13 Correct 4 ms 6236 KB Output is correct
14 Correct 3 ms 6236 KB Output is correct
15 Correct 3 ms 6236 KB Output is correct
16 Correct 3 ms 6236 KB Output is correct
17 Correct 3 ms 6192 KB Output is correct
18 Correct 3 ms 6236 KB Output is correct
19 Correct 3 ms 6236 KB Output is correct
20 Correct 46 ms 21188 KB Output is correct
21 Correct 21 ms 11100 KB Output is correct
22 Correct 51 ms 25240 KB Output is correct
23 Correct 40 ms 17620 KB Output is correct
24 Correct 27 ms 13136 KB Output is correct
25 Correct 44 ms 22708 KB Output is correct
26 Correct 29 ms 14076 KB Output is correct
27 Correct 44 ms 21860 KB Output is correct
28 Correct 49 ms 25384 KB Output is correct
29 Correct 49 ms 25428 KB Output is correct
30 Correct 51 ms 25424 KB Output is correct
31 Correct 53 ms 25340 KB Output is correct
32 Correct 50 ms 25428 KB Output is correct
33 Correct 49 ms 25424 KB Output is correct
34 Correct 63 ms 25428 KB Output is correct
35 Correct 49 ms 25424 KB Output is correct
36 Correct 50 ms 25416 KB Output is correct
37 Correct 6 ms 6236 KB Output is correct
38 Correct 36 ms 17796 KB Output is correct
39 Correct 26 ms 14160 KB Output is correct
40 Correct 47 ms 21840 KB Output is correct
41 Correct 307 ms 154948 KB Output is correct
42 Correct 448 ms 190372 KB Output is correct
43 Correct 413 ms 190408 KB Output is correct
44 Correct 3 ms 6232 KB Output is correct
45 Correct 3 ms 6236 KB Output is correct
46 Correct 3 ms 6236 KB Output is correct
47 Correct 51 ms 25412 KB Output is correct
48 Correct 424 ms 190412 KB Output is correct
49 Correct 3 ms 6236 KB Output is correct
50 Correct 58 ms 25328 KB Output is correct
51 Correct 395 ms 190536 KB Output is correct
52 Correct 217 ms 97844 KB Output is correct
53 Correct 171 ms 85592 KB Output is correct
54 Correct 407 ms 190412 KB Output is correct
55 Correct 305 ms 141200 KB Output is correct
56 Correct 3 ms 6232 KB Output is correct
57 Correct 3 ms 6232 KB Output is correct
58 Correct 50 ms 25428 KB Output is correct
59 Correct 433 ms 190360 KB Output is correct
60 Correct 336 ms 167708 KB Output is correct
61 Correct 412 ms 190408 KB Output is correct
62 Correct 401 ms 190432 KB Output is correct
63 Correct 412 ms 190408 KB Output is correct
64 Correct 402 ms 190456 KB Output is correct
65 Correct 440 ms 190412 KB Output is correct
66 Correct 408 ms 191508 KB Output is correct
67 Correct 420 ms 191916 KB Output is correct
68 Correct 407 ms 191688 KB Output is correct
69 Correct 408 ms 191024 KB Output is correct
70 Correct 401 ms 191472 KB Output is correct
71 Correct 447 ms 191432 KB Output is correct
72 Correct 411 ms 191432 KB Output is correct