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Submission #563663

# Submission time Handle Problem Language Result Execution time Memory
563663 2022-05-17T21:17:15 Z 4fecta Collecting Stamps 3 (JOI20_ho_t3) C++17
100 / 100
 678 ms 135260 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define int ll
#define ld long double
#define pii pair<int, int>
#define f first
#define s second
#define boost() cin.tie(0), cin.sync_with_stdio(0)

const int MN = 205;

int n, L, x[MN], t[MN], dp[MN][MN][MN][2], ans; //left, right, how many, left/right = min time

int d(int i, int j) {
    i %= (n + 1), j %= (n + 1);
    if (i < j) swap(i, j);
    int p1 = L - x[i] + x[j], p2 = L - p1;
    return min(p1, p2);
}

int rec(int l, int r, int k, int s) {
    l %= (n + 1), r %= (n + 1);
    //printf("%d %d %d %d\n", l, r, k, s);
    if (dp[l][r][k][s] != -1) return dp[l][r][k][s];
    int bst = 1e12;
    if (!s && l > 0) {
        bst = min(bst, rec(l + 1, r, k, 1) + d(l, r));
        bst = min(bst, rec(l + 1, r, k, 0) + d(l, l + 1));
        if (k) {
            int v1 = rec(l + 1, r, k - 1, 1) + d(l, r);
            if (v1 <= t[l]) bst = min(bst, v1);
            int v2 = rec(l + 1, r, k - 1, 0) + d(l, l + 1);
            if (v2 <= t[l]) bst = min(bst, v2);
        }
    }
    if (s && r > 0) {
        bst = min(bst, rec(l, r - 1, k, 0) + d(l, r));
        bst = min(bst, rec(l, r - 1, k, 1) + d(r - 1, r));
        if (k) {
            int v1 = rec(l, r - 1, k - 1, 0) + d(l, r);
            if (v1 <= t[r]) bst = min(bst, v1);
            int v2 = rec(l, r - 1, k - 1, 1) + d(r - 1, r);
            if (v2 <= t[r]) bst = min(bst, v2);
        }
    }
    return dp[l][r][k][s] = bst;
}

int32_t main() {
    boost();

    cin >> n >> L;
    for (int i = 1; i <= n; i++) cin >> x[i];
    for (int i = 1; i <= n; i++) cin >> t[i];
    memset(dp, -1, sizeof(dp));
    dp[0][0][0][0] = dp[0][0][0][1] = dp[n + 1][0][0][0] = dp[n + 1][0][0][1] = 0;
    for (int l = 0; l <= n; l++) {
        int r = l - 1;
        if (r < 0) r = n;
        for (int k = 1; k <= n; k++) if (min(rec(l, r, k, 0),  rec(l, r, k, 1)) < 1e12) ans = max(ans, k);
    }
    printf("%lld\n", ans);

    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 135208 KB Output is correct
2 Correct 48 ms 135080 KB Output is correct
3 Correct 50 ms 135160 KB Output is correct
4 Correct 50 ms 135084 KB Output is correct
5 Correct 49 ms 135116 KB Output is correct
6 Correct 49 ms 135124 KB Output is correct
7 Correct 49 ms 135116 KB Output is correct
8 Correct 49 ms 135128 KB Output is correct
9 Correct 49 ms 135172 KB Output is correct
10 Correct 51 ms 135064 KB Output is correct
11 Correct 50 ms 135056 KB Output is correct
12 Correct 50 ms 135100 KB Output is correct
13 Correct 50 ms 135096 KB Output is correct
14 Correct 50 ms 135068 KB Output is correct
15 Correct 49 ms 135104 KB Output is correct
16 Correct 49 ms 135140 KB Output is correct
17 Correct 49 ms 135168 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 135208 KB Output is correct
2 Correct 48 ms 135080 KB Output is correct
3 Correct 50 ms 135160 KB Output is correct
4 Correct 50 ms 135084 KB Output is correct
5 Correct 49 ms 135116 KB Output is correct
6 Correct 49 ms 135124 KB Output is correct
7 Correct 49 ms 135116 KB Output is correct
8 Correct 49 ms 135128 KB Output is correct
9 Correct 49 ms 135172 KB Output is correct
10 Correct 51 ms 135064 KB Output is correct
11 Correct 50 ms 135056 KB Output is correct
12 Correct 50 ms 135100 KB Output is correct
13 Correct 50 ms 135096 KB Output is correct
14 Correct 50 ms 135068 KB Output is correct
15 Correct 49 ms 135104 KB Output is correct
16 Correct 49 ms 135140 KB Output is correct
17 Correct 49 ms 135168 KB Output is correct
18 Correct 50 ms 135152 KB Output is correct
19 Correct 50 ms 135116 KB Output is correct
20 Correct 51 ms 135252 KB Output is correct
21 Correct 51 ms 135068 KB Output is correct
22 Correct 55 ms 135076 KB Output is correct
23 Correct 51 ms 135128 KB Output is correct
24 Correct 51 ms 135072 KB Output is correct
25 Correct 52 ms 135116 KB Output is correct
26 Correct 50 ms 135116 KB Output is correct
27 Correct 48 ms 135076 KB Output is correct
28 Correct 49 ms 135144 KB Output is correct
29 Correct 49 ms 135116 KB Output is correct
30 Correct 51 ms 135116 KB Output is correct
31 Correct 50 ms 135128 KB Output is correct
32 Correct 49 ms 135100 KB Output is correct
33 Correct 50 ms 135140 KB Output is correct
34 Correct 55 ms 135128 KB Output is correct
35 Correct 54 ms 135108 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 135208 KB Output is correct
2 Correct 48 ms 135080 KB Output is correct
3 Correct 50 ms 135160 KB Output is correct
4 Correct 50 ms 135084 KB Output is correct
5 Correct 49 ms 135116 KB Output is correct
6 Correct 49 ms 135124 KB Output is correct
7 Correct 49 ms 135116 KB Output is correct
8 Correct 49 ms 135128 KB Output is correct
9 Correct 49 ms 135172 KB Output is correct
10 Correct 51 ms 135064 KB Output is correct
11 Correct 50 ms 135056 KB Output is correct
12 Correct 50 ms 135100 KB Output is correct
13 Correct 50 ms 135096 KB Output is correct
14 Correct 50 ms 135068 KB Output is correct
15 Correct 49 ms 135104 KB Output is correct
16 Correct 49 ms 135140 KB Output is correct
17 Correct 49 ms 135168 KB Output is correct
18 Correct 490 ms 135188 KB Output is correct
19 Correct 262 ms 135184 KB Output is correct
20 Correct 130 ms 135184 KB Output is correct
21 Correct 250 ms 135176 KB Output is correct
22 Correct 346 ms 135184 KB Output is correct
23 Correct 113 ms 135120 KB Output is correct
24 Correct 96 ms 135160 KB Output is correct
25 Correct 111 ms 135064 KB Output is correct
26 Correct 65 ms 135124 KB Output is correct
27 Correct 118 ms 135096 KB Output is correct
28 Correct 90 ms 135076 KB Output is correct
29 Correct 118 ms 135112 KB Output is correct
30 Correct 97 ms 135176 KB Output is correct
31 Correct 111 ms 135096 KB Output is correct
32 Correct 75 ms 135080 KB Output is correct
33 Correct 113 ms 135180 KB Output is correct
34 Correct 64 ms 135156 KB Output is correct
35 Correct 111 ms 135100 KB Output is correct
36 Correct 69 ms 135116 KB Output is correct
37 Correct 119 ms 135120 KB Output is correct
38 Correct 77 ms 135096 KB Output is correct
39 Correct 118 ms 135088 KB Output is correct
40 Correct 80 ms 135116 KB Output is correct
41 Correct 657 ms 135244 KB Output is correct
42 Correct 379 ms 135184 KB Output is correct
43 Correct 657 ms 135180 KB Output is correct
44 Correct 376 ms 135256 KB Output is correct
45 Correct 645 ms 135188 KB Output is correct
46 Correct 384 ms 135188 KB Output is correct

Subtask #4
75.0 / 75.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 135208 KB Output is correct
2 Correct 48 ms 135080 KB Output is correct
3 Correct 50 ms 135160 KB Output is correct
4 Correct 50 ms 135084 KB Output is correct
5 Correct 49 ms 135116 KB Output is correct
6 Correct 49 ms 135124 KB Output is correct
7 Correct 49 ms 135116 KB Output is correct
8 Correct 49 ms 135128 KB Output is correct
9 Correct 49 ms 135172 KB Output is correct
10 Correct 51 ms 135064 KB Output is correct
11 Correct 50 ms 135056 KB Output is correct
12 Correct 50 ms 135100 KB Output is correct
13 Correct 50 ms 135096 KB Output is correct
14 Correct 50 ms 135068 KB Output is correct
15 Correct 49 ms 135104 KB Output is correct
16 Correct 49 ms 135140 KB Output is correct
17 Correct 49 ms 135168 KB Output is correct
18 Correct 50 ms 135152 KB Output is correct
19 Correct 50 ms 135116 KB Output is correct
20 Correct 51 ms 135252 KB Output is correct
21 Correct 51 ms 135068 KB Output is correct
22 Correct 55 ms 135076 KB Output is correct
23 Correct 51 ms 135128 KB Output is correct
24 Correct 51 ms 135072 KB Output is correct
25 Correct 52 ms 135116 KB Output is correct
26 Correct 50 ms 135116 KB Output is correct
27 Correct 48 ms 135076 KB Output is correct
28 Correct 49 ms 135144 KB Output is correct
29 Correct 49 ms 135116 KB Output is correct
30 Correct 51 ms 135116 KB Output is correct
31 Correct 50 ms 135128 KB Output is correct
32 Correct 49 ms 135100 KB Output is correct
33 Correct 50 ms 135140 KB Output is correct
34 Correct 55 ms 135128 KB Output is correct
35 Correct 54 ms 135108 KB Output is correct
36 Correct 490 ms 135188 KB Output is correct
37 Correct 262 ms 135184 KB Output is correct
38 Correct 130 ms 135184 KB Output is correct
39 Correct 250 ms 135176 KB Output is correct
40 Correct 346 ms 135184 KB Output is correct
41 Correct 113 ms 135120 KB Output is correct
42 Correct 96 ms 135160 KB Output is correct
43 Correct 111 ms 135064 KB Output is correct
44 Correct 65 ms 135124 KB Output is correct
45 Correct 118 ms 135096 KB Output is correct
46 Correct 90 ms 135076 KB Output is correct
47 Correct 118 ms 135112 KB Output is correct
48 Correct 97 ms 135176 KB Output is correct
49 Correct 111 ms 135096 KB Output is correct
50 Correct 75 ms 135080 KB Output is correct
51 Correct 113 ms 135180 KB Output is correct
52 Correct 64 ms 135156 KB Output is correct
53 Correct 111 ms 135100 KB Output is correct
54 Correct 69 ms 135116 KB Output is correct
55 Correct 119 ms 135120 KB Output is correct
56 Correct 77 ms 135096 KB Output is correct
57 Correct 118 ms 135088 KB Output is correct
58 Correct 80 ms 135116 KB Output is correct
59 Correct 657 ms 135244 KB Output is correct
60 Correct 379 ms 135184 KB Output is correct
61 Correct 657 ms 135180 KB Output is correct
62 Correct 376 ms 135256 KB Output is correct
63 Correct 645 ms 135188 KB Output is correct
64 Correct 384 ms 135188 KB Output is correct
65 Correct 574 ms 135192 KB Output is correct
66 Correct 509 ms 135084 KB Output is correct
67 Correct 480 ms 135184 KB Output is correct
68 Correct 428 ms 135208 KB Output is correct
69 Correct 562 ms 135260 KB Output is correct
70 Correct 532 ms 135116 KB Output is correct
71 Correct 530 ms 135196 KB Output is correct
72 Correct 551 ms 135244 KB Output is correct
73 Correct 493 ms 135244 KB Output is correct
74 Correct 450 ms 135188 KB Output is correct
75 Correct 516 ms 135248 KB Output is correct
76 Correct 635 ms 135200 KB Output is correct
77 Correct 610 ms 135244 KB Output is correct
78 Correct 445 ms 135244 KB Output is correct
79 Correct 454 ms 135244 KB Output is correct
80 Correct 610 ms 135192 KB Output is correct
81 Correct 465 ms 135192 KB Output is correct
82 Correct 501 ms 135196 KB Output is correct
83 Correct 640 ms 135116 KB Output is correct
84 Correct 540 ms 135192 KB Output is correct
85 Correct 590 ms 135260 KB Output is correct
86 Correct 570 ms 135192 KB Output is correct
87 Correct 518 ms 135192 KB Output is correct
88 Correct 678 ms 135192 KB Output is correct
89 Correct 660 ms 135172 KB Output is correct
90 Correct 520 ms 135200 KB Output is correct
91 Correct 676 ms 135192 KB Output is correct
92 Correct 677 ms 135200 KB Output is correct
93 Correct 642 ms 135244 KB Output is correct