#include <iostream>
using namespace std;
const long long INF = 1e18;
int main(){
int n;
long long L;
cin >> n >> L;
long long a[n], b[n];
for (int i = 0; i < n; i++){
cin >> a[i];
}
for (int i = 0; i < n; i++){
cin >> b[i];
}
auto idx = [&](int i) -> int {
return (i % n + n) % n;
};
auto dis = [&](long long x, long long y) -> long long {
if (x > y) swap(x, y);
return min(y - x, x + L - y);
};
long long dp[n][n][n + 1][2]{}; // [l, r], pickcnt, cur(l, r) => min time
fill_n(&dp[0][0][0][0], sizeof(dp) / sizeof(long long), INF);
for (int i = 0; i < n; i++){
dp[i][i][min(a[i], L - a[i]) <= b[i]][0] = dp[i][i][min(a[i], L - a[i]) <= b[i]][1] = min(a[i], L - a[i]);
}
for (int t = 0; t < n - 1; t++){
for (int l = n - 1; l >= 0; l--){
int r = idx(l + t);
for (int i = 0; i < n; i++){
if (dp[l][r][i][0] + dis(a[l], a[idx(l - 1)]) <= b[idx(l - 1)])
dp[idx(l - 1)][r][i + 1][0] = min(dp[idx(l - 1)][r][i + 1][0], dp[l][r][i][0] + dis(a[l], a[idx(l - 1)]));
if (dp[l][r][i][1] + dis(a[r], a[idx(l - 1)]) <= b[idx(l - 1)])
dp[idx(l - 1)][r][i + 1][0] = min(dp[idx(l - 1)][r][i + 1][0], dp[l][r][i][1] + dis(a[r], a[idx(l - 1)]));
if (dp[l][r][i][0] + dis(a[l], a[idx(r + 1)]) <= b[idx(r + 1)])
dp[l][idx(r + 1)][i + 1][1] = min(dp[l][idx(r + 1)][i + 1][1], dp[l][r][i][0] + dis(a[l], a[idx(r + 1)]));
if (dp[l][r][i][1] + dis(a[r], a[idx(r + 1)]) <= b[idx(r + 1)])
dp[l][idx(r + 1)][i + 1][1] = min(dp[l][idx(r + 1)][i + 1][1], dp[l][r][i][1] + dis(a[r], a[idx(r + 1)]));
}
for (int i = 0; i <= n; i++){
dp[idx(l - 1)][r][i][0] = min(dp[idx(l - 1)][r][i][0], dp[l][r][i][0] + dis(a[l], a[idx(l - 1)]));
dp[idx(l - 1)][r][i][0] = min(dp[idx(l - 1)][r][i][0], dp[l][r][i][1] + dis(a[r], a[idx(l - 1)]));
dp[l][idx(r + 1)][i][1] = min(dp[l][idx(r + 1)][i][1], dp[l][r][i][0] + dis(a[l], a[idx(r + 1)]));
dp[l][idx(r + 1)][i][1] = min(dp[l][idx(r + 1)][i][1], dp[l][r][i][1] + dis(a[r], a[idx(r + 1)]));
}
}
}
for (int i = n; i >= 0; i--){
for (int j = 0; j < n; j++){
if (dp[j][idx(j + n - 1)][i][0] != INF || dp[j][idx(j + n - 1)][i][1] != INF){
cout << i;
return 0;
}
}
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
296 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
296 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
296 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 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 |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
300 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
296 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
296 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
296 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 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 |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
300 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
300 KB |
Output is correct |
19 |
Correct |
1 ms |
296 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
0 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
296 KB |
Output is correct |
24 |
Correct |
1 ms |
300 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
300 KB |
Output is correct |
31 |
Correct |
0 ms |
340 KB |
Output is correct |
32 |
Correct |
0 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
1 ms |
300 KB |
Output is correct |
35 |
Correct |
0 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
296 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
296 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
296 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 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 |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
300 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
95 ms |
90620 KB |
Output is correct |
19 |
Correct |
55 ms |
42580 KB |
Output is correct |
20 |
Correct |
22 ms |
16576 KB |
Output is correct |
21 |
Correct |
40 ms |
39080 KB |
Output is correct |
22 |
Correct |
58 ms |
57784 KB |
Output is correct |
23 |
Correct |
13 ms |
13012 KB |
Output is correct |
24 |
Correct |
9 ms |
9036 KB |
Output is correct |
25 |
Correct |
14 ms |
12580 KB |
Output is correct |
26 |
Correct |
3 ms |
2984 KB |
Output is correct |
27 |
Correct |
15 ms |
13340 KB |
Output is correct |
28 |
Correct |
9 ms |
8020 KB |
Output is correct |
29 |
Correct |
20 ms |
13780 KB |
Output is correct |
30 |
Correct |
13 ms |
9684 KB |
Output is correct |
31 |
Correct |
14 ms |
12616 KB |
Output is correct |
32 |
Correct |
6 ms |
4820 KB |
Output is correct |
33 |
Correct |
13 ms |
12500 KB |
Output is correct |
34 |
Correct |
3 ms |
2772 KB |
Output is correct |
35 |
Correct |
12 ms |
12116 KB |
Output is correct |
36 |
Correct |
5 ms |
4008 KB |
Output is correct |
37 |
Correct |
15 ms |
13372 KB |
Output is correct |
38 |
Correct |
5 ms |
5460 KB |
Output is correct |
39 |
Correct |
16 ms |
14292 KB |
Output is correct |
40 |
Correct |
6 ms |
6448 KB |
Output is correct |
41 |
Correct |
125 ms |
124272 KB |
Output is correct |
42 |
Correct |
75 ms |
68492 KB |
Output is correct |
43 |
Correct |
127 ms |
124284 KB |
Output is correct |
44 |
Correct |
73 ms |
67156 KB |
Output is correct |
45 |
Correct |
135 ms |
124272 KB |
Output is correct |
46 |
Correct |
73 ms |
68456 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
296 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
296 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
296 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 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 |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
300 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
300 KB |
Output is correct |
19 |
Correct |
1 ms |
296 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
0 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
296 KB |
Output is correct |
24 |
Correct |
1 ms |
300 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
300 KB |
Output is correct |
31 |
Correct |
0 ms |
340 KB |
Output is correct |
32 |
Correct |
0 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
1 ms |
300 KB |
Output is correct |
35 |
Correct |
0 ms |
340 KB |
Output is correct |
36 |
Correct |
95 ms |
90620 KB |
Output is correct |
37 |
Correct |
55 ms |
42580 KB |
Output is correct |
38 |
Correct |
22 ms |
16576 KB |
Output is correct |
39 |
Correct |
40 ms |
39080 KB |
Output is correct |
40 |
Correct |
58 ms |
57784 KB |
Output is correct |
41 |
Correct |
13 ms |
13012 KB |
Output is correct |
42 |
Correct |
9 ms |
9036 KB |
Output is correct |
43 |
Correct |
14 ms |
12580 KB |
Output is correct |
44 |
Correct |
3 ms |
2984 KB |
Output is correct |
45 |
Correct |
15 ms |
13340 KB |
Output is correct |
46 |
Correct |
9 ms |
8020 KB |
Output is correct |
47 |
Correct |
20 ms |
13780 KB |
Output is correct |
48 |
Correct |
13 ms |
9684 KB |
Output is correct |
49 |
Correct |
14 ms |
12616 KB |
Output is correct |
50 |
Correct |
6 ms |
4820 KB |
Output is correct |
51 |
Correct |
13 ms |
12500 KB |
Output is correct |
52 |
Correct |
3 ms |
2772 KB |
Output is correct |
53 |
Correct |
12 ms |
12116 KB |
Output is correct |
54 |
Correct |
5 ms |
4008 KB |
Output is correct |
55 |
Correct |
15 ms |
13372 KB |
Output is correct |
56 |
Correct |
5 ms |
5460 KB |
Output is correct |
57 |
Correct |
16 ms |
14292 KB |
Output is correct |
58 |
Correct |
6 ms |
6448 KB |
Output is correct |
59 |
Correct |
125 ms |
124272 KB |
Output is correct |
60 |
Correct |
75 ms |
68492 KB |
Output is correct |
61 |
Correct |
127 ms |
124284 KB |
Output is correct |
62 |
Correct |
73 ms |
67156 KB |
Output is correct |
63 |
Correct |
135 ms |
124272 KB |
Output is correct |
64 |
Correct |
73 ms |
68456 KB |
Output is correct |
65 |
Correct |
118 ms |
106540 KB |
Output is correct |
66 |
Correct |
105 ms |
93576 KB |
Output is correct |
67 |
Correct |
91 ms |
87508 KB |
Output is correct |
68 |
Correct |
76 ms |
77648 KB |
Output is correct |
69 |
Correct |
113 ms |
104852 KB |
Output is correct |
70 |
Correct |
103 ms |
98248 KB |
Output is correct |
71 |
Correct |
100 ms |
99912 KB |
Output is correct |
72 |
Correct |
104 ms |
101516 KB |
Output is correct |
73 |
Correct |
94 ms |
90572 KB |
Output is correct |
74 |
Correct |
87 ms |
81808 KB |
Output is correct |
75 |
Correct |
104 ms |
95176 KB |
Output is correct |
76 |
Correct |
113 ms |
116956 KB |
Output is correct |
77 |
Correct |
117 ms |
116960 KB |
Output is correct |
78 |
Correct |
89 ms |
78960 KB |
Output is correct |
79 |
Correct |
87 ms |
83224 KB |
Output is correct |
80 |
Correct |
130 ms |
113412 KB |
Output is correct |
81 |
Correct |
90 ms |
84656 KB |
Output is correct |
82 |
Correct |
133 ms |
92032 KB |
Output is correct |
83 |
Correct |
149 ms |
124176 KB |
Output is correct |
84 |
Correct |
106 ms |
98340 KB |
Output is correct |
85 |
Correct |
148 ms |
111660 KB |
Output is correct |
86 |
Correct |
117 ms |
108108 KB |
Output is correct |
87 |
Correct |
101 ms |
95172 KB |
Output is correct |
88 |
Correct |
135 ms |
126148 KB |
Output is correct |
89 |
Correct |
156 ms |
126148 KB |
Output is correct |
90 |
Correct |
102 ms |
96748 KB |
Output is correct |
91 |
Correct |
162 ms |
126032 KB |
Output is correct |
92 |
Correct |
158 ms |
126068 KB |
Output is correct |
93 |
Correct |
143 ms |
122404 KB |
Output is correct |