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Submission #575158

# Submission time Handle Problem Language Result Execution time Memory
575158 2022-06-09T19:32:35 Z erekle Collecting Stamps 3 (JOI20_ho_t3) C++17
25 / 100
 229 ms 132904 KB 
#include <iostream>
#include <vector>

using namespace std;

const int N = 200;
const long long INF = 1e18;

long long dp[1+N][1+N][2][1+N];
// dp[l][r][p][s] is minimum time where:
//  - [l, r] is range of stamps left
//  - p is the current position (boolean - either l-1 or r+1)
//  - s is the current number of stamps collected

int main() {
    int n, L;
    cin >> n >> L;
    vector<int> x(1+n), t(1+n);
    for (int i = 1; i <= n; ++i) cin >> x[i];
    for (int i = 1; i <= n; ++i) cin >> t[i];
    x[0] = 0, t[0] = -1; // add stamp at x=0 that cannot be collected

    auto d = [&x, &n, &L](int i, int j) {
        if (i > j) swap(i, j);
        return min(x[j]-x[i], x[i]+L-x[j]);
    };

    // fill with INF
    for (int l = 0; l <= n; ++l) {
        for (int r = max(0, l-1); r <= n; ++r) {
            for (int p = 0; p <= 1; ++p) {
                for (int s = 0; s <= n; ++s) dp[l][r][p][s] = INF;
            }
        }
    }
   
    // addition of extra stamp makes base case easier
    dp[1][n][0][0] = dp[1][n][1][0] = 0;

    /* answers will be stored at sz = 0 (r = l-1), but we do not traverse
    since they are final states - they do not need to contribute to other states */

    // dp - pushing answers to later states rather than pulling from previous
    for (int sz = n; sz >= 1; --sz) {
        for (int l = 1; l+sz-1 <= n; ++l) {
            int r = l+sz-1, before = (l-1+(n+1))%(n+1), after = (r+1)%(n+1);
            for (int s = 0; s <= n; ++s) {
                // p = 0 means at l-1, p = 1 means at r+1
                for (int p = 0; p <= 1; ++p) { // current position
                    for (int p1 = 0; p1 <= 1; ++p1) { // next position
                        int cur = (!p ? before : after); // current location
                        int nxt = (!p1 ? l : r); // next location
                        long long time = dp[l][r][p][s] + d(cur, nxt); // total time taken
                        bool delta = time <= t[nxt]; // extra stamps collected (0 or 1)
                        
                        int l1 = l + (p1 == 0), r1 = r - (p1 == 1), s1 = s+delta;
                        if (r1 < 0) continue;
                        dp[l1][r1][p1][s1] = min(dp[l1][r1][p1][s1], time);
                    }
                }
            }
        }
    }

    int maxCollected = 0;
    for (int s = 1; s <= n; ++s) {
        for (int l = 1; l <= n; ++l) {
            if (dp[l][l-1][0][s] != INF || dp[l][l-1][1][s] != INF) {
                maxCollected = s;
            }
        }
    }
    cout << maxCollected << endl;
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 468 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 596 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 596 KB Output is correct
9 Correct 1 ms 596 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 688 KB Output is correct
13 Correct 1 ms 596 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 596 KB Output is correct
17 Correct 1 ms 596 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 468 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 596 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 596 KB Output is correct
9 Correct 1 ms 596 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 688 KB Output is correct
13 Correct 1 ms 596 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 596 KB Output is correct
17 Correct 1 ms 596 KB Output is correct
18 Correct 1 ms 724 KB Output is correct
19 Correct 1 ms 564 KB Output is correct
20 Correct 0 ms 596 KB Output is correct
21 Correct 1 ms 688 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 1 ms 852 KB Output is correct
24 Correct 1 ms 724 KB Output is correct
25 Correct 1 ms 692 KB Output is correct
26 Correct 1 ms 724 KB Output is correct
27 Correct 1 ms 468 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 1 ms 852 KB Output is correct
30 Correct 1 ms 724 KB Output is correct
31 Correct 1 ms 724 KB Output is correct
32 Correct 1 ms 724 KB Output is correct
33 Correct 1 ms 852 KB Output is correct
34 Correct 1 ms 724 KB Output is correct
35 Correct 1 ms 824 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 468 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 596 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 596 KB Output is correct
9 Correct 1 ms 596 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 688 KB Output is correct
13 Correct 1 ms 596 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 596 KB Output is correct
17 Correct 1 ms 596 KB Output is correct
18 Correct 123 ms 52812 KB Output is correct
19 Correct 57 ms 32400 KB Output is correct
20 Correct 22 ms 17648 KB Output is correct
21 Correct 55 ms 30616 KB Output is correct
22 Correct 85 ms 39488 KB Output is correct
23 Correct 21 ms 15024 KB Output is correct
24 Correct 15 ms 11856 KB Output is correct
25 Correct 21 ms 14676 KB Output is correct
26 Correct 6 ms 5844 KB Output is correct
27 Correct 23 ms 15332 KB Output is correct
28 Correct 15 ms 11056 KB Output is correct
29 Correct 21 ms 15572 KB Output is correct
30 Correct 15 ms 12372 KB Output is correct
31 Correct 20 ms 14724 KB Output is correct
32 Correct 9 ms 7892 KB Output is correct
33 Correct 20 ms 14732 KB Output is correct
34 Correct 6 ms 5588 KB Output is correct
35 Correct 21 ms 14420 KB Output is correct
36 Correct 7 ms 6996 KB Output is correct
37 Correct 24 ms 15328 KB Output is correct
38 Correct 11 ms 8532 KB Output is correct
39 Correct 23 ms 15948 KB Output is correct
40 Correct 12 ms 9556 KB Output is correct
41 Correct 161 ms 65088 KB Output is correct
42 Correct 88 ms 44116 KB Output is correct
43 Correct 161 ms 65036 KB Output is correct
44 Correct 122 ms 43472 KB Output is correct
45 Correct 166 ms 64980 KB Output is correct
46 Correct 89 ms 44096 KB Output is correct

Subtask #4
0 / 75.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 468 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 596 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 596 KB Output is correct
9 Correct 1 ms 596 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 688 KB Output is correct
13 Correct 1 ms 596 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 596 KB Output is correct
17 Correct 1 ms 596 KB Output is correct
18 Correct 1 ms 724 KB Output is correct
19 Correct 1 ms 564 KB Output is correct
20 Correct 0 ms 596 KB Output is correct
21 Correct 1 ms 688 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 1 ms 852 KB Output is correct
24 Correct 1 ms 724 KB Output is correct
25 Correct 1 ms 692 KB Output is correct
26 Correct 1 ms 724 KB Output is correct
27 Correct 1 ms 468 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 1 ms 852 KB Output is correct
30 Correct 1 ms 724 KB Output is correct
31 Correct 1 ms 724 KB Output is correct
32 Correct 1 ms 724 KB Output is correct
33 Correct 1 ms 852 KB Output is correct
34 Correct 1 ms 724 KB Output is correct
35 Correct 1 ms 824 KB Output is correct
36 Correct 123 ms 52812 KB Output is correct
37 Correct 57 ms 32400 KB Output is correct
38 Correct 22 ms 17648 KB Output is correct
39 Correct 55 ms 30616 KB Output is correct
40 Correct 85 ms 39488 KB Output is correct
41 Correct 21 ms 15024 KB Output is correct
42 Correct 15 ms 11856 KB Output is correct
43 Correct 21 ms 14676 KB Output is correct
44 Correct 6 ms 5844 KB Output is correct
45 Correct 23 ms 15332 KB Output is correct
46 Correct 15 ms 11056 KB Output is correct
47 Correct 21 ms 15572 KB Output is correct
48 Correct 15 ms 12372 KB Output is correct
49 Correct 20 ms 14724 KB Output is correct
50 Correct 9 ms 7892 KB Output is correct
51 Correct 20 ms 14732 KB Output is correct
52 Correct 6 ms 5588 KB Output is correct
53 Correct 21 ms 14420 KB Output is correct
54 Correct 7 ms 6996 KB Output is correct
55 Correct 24 ms 15328 KB Output is correct
56 Correct 11 ms 8532 KB Output is correct
57 Correct 23 ms 15948 KB Output is correct
58 Correct 12 ms 9556 KB Output is correct
59 Correct 161 ms 65088 KB Output is correct
60 Correct 88 ms 44116 KB Output is correct
61 Correct 161 ms 65036 KB Output is correct
62 Correct 122 ms 43472 KB Output is correct
63 Correct 166 ms 64980 KB Output is correct
64 Correct 89 ms 44096 KB Output is correct
65 Correct 142 ms 58832 KB Output is correct
66 Correct 134 ms 54148 KB Output is correct
67 Correct 116 ms 51728 KB Output is correct
68 Correct 103 ms 47852 KB Output is correct
69 Correct 140 ms 58224 KB Output is correct
70 Correct 131 ms 55832 KB Output is correct
71 Correct 142 ms 56428 KB Output is correct
72 Correct 136 ms 57024 KB Output is correct
73 Correct 122 ms 52916 KB Output is correct
74 Correct 103 ms 49528 KB Output is correct
75 Correct 135 ms 54664 KB Output is correct
76 Correct 154 ms 62468 KB Output is correct
77 Correct 150 ms 62548 KB Output is correct
78 Correct 101 ms 48404 KB Output is correct
79 Correct 112 ms 50068 KB Output is correct
80 Correct 150 ms 61232 KB Output is correct
81 Correct 112 ms 50640 KB Output is correct
82 Correct 112 ms 53492 KB Output is correct
83 Correct 163 ms 65068 KB Output is correct
84 Correct 128 ms 55836 KB Output is correct
85 Correct 158 ms 60676 KB Output is correct
86 Correct 144 ms 59448 KB Output is correct
87 Correct 124 ms 54656 KB Output is correct
88 Runtime error 229 ms 132904 KB Execution killed with signal 11
89 Halted 0 ms 0 KB -