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Submission #577717

# Submission time Handle Problem Language Result Execution time Memory
577717 2022-06-15T08:21:27 Z Jomnoi Collecting Stamps 3 (JOI20_ho_t3) C++17
100 / 100
 254 ms 132868 KB 
#include <bits/stdc++.h>
using namespace std;

const int MAX_N = 205;
const long long llINF = 1e18 + 7;

int X[MAX_N], T[MAX_N];
long long dp1[MAX_N][MAX_N][MAX_N], dp2[MAX_N][MAX_N][MAX_N];

int main() {
    cin.tie(nullptr)->sync_with_stdio(false);
    
    int N, L;
    cin >> N >> L;
    
    for(int i = 1; i <= N; i++) {
        cin >> X[i];
    }
    for(int i = 1; i <= N; i++) {
        cin >> T[i];
    }
    X[N + 1] = L;

    for(int k = 0; k <= N; k++) {
        for(int i = 0; i <= N + 1; i++) {
            for(int j = 0; j <= N + 1; j++) {
                dp1[i][j][k] = llINF;
                dp2[i][j][k] = llINF;
            }
        }
    }

    int ans = 0;
    dp1[0][N + 1][0] = dp2[0][N + 1][0] = 0;
    for(int k = 0; k <= N; k++) {
        for(int i = 0; i <= N; i++) {
            for(int j = N + 1; j >= i + 1; j--) {
                if(i - 1 >= 0) {
                    if(k - 1 >= 0 and dp1[i - 1][j][k - 1] + X[i] - X[i - 1] <= T[i]) {
                        dp1[i][j][k] = min(dp1[i][j][k], dp1[i - 1][j][k - 1] + X[i] - X[i - 1]);
                    }
                    if(dp1[i - 1][j][k] + X[i] - X[i - 1] > T[i]) {
                        dp1[i][j][k] = min(dp1[i][j][k], dp1[i - 1][j][k] + X[i] - X[i - 1]);
                    }

                    if(k - 1 >= 0 and dp2[i - 1][j][k - 1] + (L - X[j]) + X[i] <= T[i]) {
                        dp1[i][j][k] = min(dp1[i][j][k], dp2[i - 1][j][k - 1] + (L - X[j]) + X[i]);
                    }
                    if(dp2[i - 1][j][k] + (L - X[j]) + X[i] > T[i]) {
                        dp1[i][j][k] = min(dp1[i][j][k], dp2[i - 1][j][k] + (L - X[j]) + X[i]);
                    }
                }

                if(j + 1 <= N + 1) {
                    if(k - 1 >= 0 and dp2[i][j + 1][k - 1] + X[j + 1] - X[j] <= T[j]) {
                        dp2[i][j][k] = min(dp2[i][j][k], dp2[i][j + 1][k - 1] + X[j + 1] - X[j]);
                    }
                    if(dp2[i][j + 1][k] + X[j + 1] - X[j] > T[j]) {
                        dp2[i][j][k] = min(dp2[i][j][k], dp2[i][j + 1][k] + X[j + 1] - X[j]);
                    }

                    if(k - 1 >= 0 and dp1[i][j + 1][k - 1] + (L - X[j]) + X[i] <= T[j]) {
                        dp2[i][j][k] = min(dp2[i][j][k], dp1[i][j + 1][k - 1] + (L - X[j]) + X[i]);
                    }
                    if(dp1[i][j + 1][k] + (L - X[j]) + X[i] > T[j]) {
                        dp2[i][j][k] = min(dp2[i][j][k], dp1[i][j + 1][k] + (L - X[j]) + X[i]);
                    }
                }

                if(dp1[i][j][k] != llINF or dp2[i][j][k] != llINF) {
                    ans = k;
                }
            }
        }
    }
    cout << ans;
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 724 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 596 KB Output is correct
6 Correct 1 ms 980 KB Output is correct
7 Correct 1 ms 596 KB Output is correct
8 Correct 1 ms 852 KB Output is correct
9 Correct 1 ms 980 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 980 KB Output is correct
13 Correct 1 ms 964 KB Output is correct
14 Correct 1 ms 596 KB Output is correct
15 Correct 1 ms 596 KB Output is correct
16 Correct 1 ms 980 KB Output is correct
17 Correct 1 ms 980 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 724 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 596 KB Output is correct
6 Correct 1 ms 980 KB Output is correct
7 Correct 1 ms 596 KB Output is correct
8 Correct 1 ms 852 KB Output is correct
9 Correct 1 ms 980 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 980 KB Output is correct
13 Correct 1 ms 964 KB Output is correct
14 Correct 1 ms 596 KB Output is correct
15 Correct 1 ms 596 KB Output is correct
16 Correct 1 ms 980 KB Output is correct
17 Correct 1 ms 980 KB Output is correct
18 Correct 1 ms 1224 KB Output is correct
19 Correct 1 ms 852 KB Output is correct
20 Correct 1 ms 972 KB Output is correct
21 Correct 1 ms 1224 KB Output is correct
22 Correct 1 ms 724 KB Output is correct
23 Correct 1 ms 1352 KB Output is correct
24 Correct 1 ms 1108 KB Output is correct
25 Correct 1 ms 1236 KB Output is correct
26 Correct 1 ms 1224 KB Output is correct
27 Correct 1 ms 596 KB Output is correct
28 Correct 1 ms 724 KB Output is correct
29 Correct 1 ms 1364 KB Output is correct
30 Correct 1 ms 1348 KB Output is correct
31 Correct 1 ms 1236 KB Output is correct
32 Correct 1 ms 1088 KB Output is correct
33 Correct 1 ms 1236 KB Output is correct
34 Correct 1 ms 1364 KB Output is correct
35 Correct 1 ms 1236 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 724 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 596 KB Output is correct
6 Correct 1 ms 980 KB Output is correct
7 Correct 1 ms 596 KB Output is correct
8 Correct 1 ms 852 KB Output is correct
9 Correct 1 ms 980 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 980 KB Output is correct
13 Correct 1 ms 964 KB Output is correct
14 Correct 1 ms 596 KB Output is correct
15 Correct 1 ms 596 KB Output is correct
16 Correct 1 ms 980 KB Output is correct
17 Correct 1 ms 980 KB Output is correct
18 Correct 145 ms 106924 KB Output is correct
19 Correct 88 ms 65152 KB Output is correct
20 Correct 45 ms 35028 KB Output is correct
21 Correct 77 ms 61548 KB Output is correct
22 Correct 91 ms 79500 KB Output is correct
23 Correct 26 ms 29832 KB Output is correct
24 Correct 26 ms 23532 KB Output is correct
25 Correct 35 ms 29268 KB Output is correct
26 Correct 9 ms 11476 KB Output is correct
27 Correct 33 ms 30540 KB Output is correct
28 Correct 18 ms 21876 KB Output is correct
29 Correct 29 ms 31180 KB Output is correct
30 Correct 21 ms 24532 KB Output is correct
31 Correct 26 ms 29268 KB Output is correct
32 Correct 13 ms 15572 KB Output is correct
33 Correct 29 ms 29224 KB Output is correct
34 Correct 8 ms 10708 KB Output is correct
35 Correct 31 ms 28728 KB Output is correct
36 Correct 10 ms 13780 KB Output is correct
37 Correct 27 ms 30548 KB Output is correct
38 Correct 14 ms 16980 KB Output is correct
39 Correct 32 ms 31740 KB Output is correct
40 Correct 16 ms 18992 KB Output is correct
41 Correct 227 ms 131560 KB Output is correct
42 Correct 133 ms 88936 KB Output is correct
43 Correct 207 ms 131568 KB Output is correct
44 Correct 105 ms 87872 KB Output is correct
45 Correct 206 ms 131552 KB Output is correct
46 Correct 106 ms 88948 KB Output is correct

Subtask #4
75.0 / 75.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 724 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 596 KB Output is correct
6 Correct 1 ms 980 KB Output is correct
7 Correct 1 ms 596 KB Output is correct
8 Correct 1 ms 852 KB Output is correct
9 Correct 1 ms 980 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 980 KB Output is correct
13 Correct 1 ms 964 KB Output is correct
14 Correct 1 ms 596 KB Output is correct
15 Correct 1 ms 596 KB Output is correct
16 Correct 1 ms 980 KB Output is correct
17 Correct 1 ms 980 KB Output is correct
18 Correct 1 ms 1224 KB Output is correct
19 Correct 1 ms 852 KB Output is correct
20 Correct 1 ms 972 KB Output is correct
21 Correct 1 ms 1224 KB Output is correct
22 Correct 1 ms 724 KB Output is correct
23 Correct 1 ms 1352 KB Output is correct
24 Correct 1 ms 1108 KB Output is correct
25 Correct 1 ms 1236 KB Output is correct
26 Correct 1 ms 1224 KB Output is correct
27 Correct 1 ms 596 KB Output is correct
28 Correct 1 ms 724 KB Output is correct
29 Correct 1 ms 1364 KB Output is correct
30 Correct 1 ms 1348 KB Output is correct
31 Correct 1 ms 1236 KB Output is correct
32 Correct 1 ms 1088 KB Output is correct
33 Correct 1 ms 1236 KB Output is correct
34 Correct 1 ms 1364 KB Output is correct
35 Correct 1 ms 1236 KB Output is correct
36 Correct 145 ms 106924 KB Output is correct
37 Correct 88 ms 65152 KB Output is correct
38 Correct 45 ms 35028 KB Output is correct
39 Correct 77 ms 61548 KB Output is correct
40 Correct 91 ms 79500 KB Output is correct
41 Correct 26 ms 29832 KB Output is correct
42 Correct 26 ms 23532 KB Output is correct
43 Correct 35 ms 29268 KB Output is correct
44 Correct 9 ms 11476 KB Output is correct
45 Correct 33 ms 30540 KB Output is correct
46 Correct 18 ms 21876 KB Output is correct
47 Correct 29 ms 31180 KB Output is correct
48 Correct 21 ms 24532 KB Output is correct
49 Correct 26 ms 29268 KB Output is correct
50 Correct 13 ms 15572 KB Output is correct
51 Correct 29 ms 29224 KB Output is correct
52 Correct 8 ms 10708 KB Output is correct
53 Correct 31 ms 28728 KB Output is correct
54 Correct 10 ms 13780 KB Output is correct
55 Correct 27 ms 30548 KB Output is correct
56 Correct 14 ms 16980 KB Output is correct
57 Correct 32 ms 31740 KB Output is correct
58 Correct 16 ms 18992 KB Output is correct
59 Correct 227 ms 131560 KB Output is correct
60 Correct 133 ms 88936 KB Output is correct
61 Correct 207 ms 131568 KB Output is correct
62 Correct 105 ms 87872 KB Output is correct
63 Correct 206 ms 131552 KB Output is correct
64 Correct 106 ms 88948 KB Output is correct
65 Correct 174 ms 118884 KB Output is correct
66 Correct 198 ms 109160 KB Output is correct
67 Correct 138 ms 104536 KB Output is correct
68 Correct 124 ms 96608 KB Output is correct
69 Correct 196 ms 117560 KB Output is correct
70 Correct 200 ms 112820 KB Output is correct
71 Correct 159 ms 113996 KB Output is correct
72 Correct 171 ms 115196 KB Output is correct
73 Correct 152 ms 106864 KB Output is correct
74 Correct 137 ms 99944 KB Output is correct
75 Correct 162 ms 110396 KB Output is correct
76 Correct 217 ms 126428 KB Output is correct
77 Correct 195 ms 126348 KB Output is correct
78 Correct 133 ms 97696 KB Output is correct
79 Correct 138 ms 101080 KB Output is correct
80 Correct 186 ms 123984 KB Output is correct
81 Correct 151 ms 102228 KB Output is correct
82 Correct 160 ms 108036 KB Output is correct
83 Correct 252 ms 131600 KB Output is correct
84 Correct 160 ms 112736 KB Output is correct
85 Correct 193 ms 122596 KB Output is correct
86 Correct 195 ms 120204 KB Output is correct
87 Correct 174 ms 110400 KB Output is correct
88 Correct 254 ms 132776 KB Output is correct
89 Correct 225 ms 132868 KB Output is correct
90 Correct 177 ms 111548 KB Output is correct
91 Correct 226 ms 132868 KB Output is correct
92 Correct 199 ms 132864 KB Output is correct
93 Correct 209 ms 130380 KB Output is correct