#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include <debug.h>
#else
#define debug(...)
#endif
#define ft front
#define bk back
#define st first
#define nd second
#define ins insert
#define ers erase
#define pb push_back
#define pf push_front
#define _pb pop_back
#define _pf pop_front
#define lb lower_bound
#define ub upper_bound
#define mtp make_tuple
#define bg begin
#define ed end
#define all(x) (x).bg(), (x).ed()
#define sz(x) (int)(x).size()
typedef long long ll; typedef unsigned long long ull;
typedef double db; typedef long double ldb;
typedef pair<int, int> pi; typedef pair<ll, ll> pll;
typedef vector<int> vi; typedef vector<ll> vll; typedef vector<pi> vpi; typedef vector<pll> vpll;
typedef string str;
template<typename T> T gcd(T a, T b) { return (b == 0? a : gcd(b, a % b)); }
template<typename T> T lcm(T a, T b) { return a / gcd(a, b) * b; }
#define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
#define FOS(i, r, l) for (int (i) = (r); (i) >= (l); --(i))
#define FRN(i, n) for (int (i) = 0; (i) < (n); ++(i))
#define FSN(i, n) for (int (i) = (n) - 1; (i) >= 0; --(i))
#define EACH(i, x) for (auto &(i) : (x))
#define WHILE while
#define file "TEST"
mt19937 rd(chrono::steady_clock::now().time_since_epoch().count());
ll rand(ll l, ll r) { return uniform_int_distribution<ll>(l, r)(rd); }
/*
----------------------------------------------------------------
END OF TEMPLATE
----------------------------------------------------------------
Tran The Bao - ghostwriter
Training for VOI23 gold medal
----------------------------------------------------------------
DIT ME CHUYEN BAO LOC
----------------------------------------------------------------
*/
const int oo = 1e9 + 5;
const int N = 202;
int n, l, x[N], t[N], rs = 0;
pi d[N][N][2][N];
#define dis(x, y) min((x - y + l) % l, (y - x + l) % l)
void minimize(pi &a, pi b) {
a.nd = min(a.nd, oo);
b.nd = min(b.nd, oo);
if (!a.st && !b.st) {
if (b.nd < a.nd) a = b;
return;
}
if (a.st && !b.st) return;
if (!a.st && b.st) {
a = b;
return;
}
if (a.nd > b.nd) a = b;
}
signed main() {
ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
// freopen(file".inp", "r", stdin);
// freopen(file".out", "w", stdout);
cin >> n >> l;
FOR(i, 1, n) cin >> x[i];
FOR(i, 1, n) cin >> t[i];
FOR(i, 0, n + 1)
FOR(j, 0, n + 1)
FOR(stat, 0, 1)
FOR(z, 0, n)
d[i][j][stat][z] = {0, oo};
FOR(i, 0, n + 1)
FOS(j, n + 1, i + 1)
FOR(stat, 0, 1)
FOR(z, 0, n) {
pi &rs = d[i][j][stat][z];
if (i == 0 && j == n + 1) {
minimize(rs, !z? pi(1, 0) : pi(0, oo));
continue;
}
if (!stat) {
if (i) {
pi tmp = d[i - 1][j][0][z];
minimize(rs, {tmp.st, tmp.nd + dis(x[i], x[i - 1])});
tmp = d[i - 1][j][1][z];
minimize(rs, {tmp.st, tmp.nd + dis(x[i], x[j])});
if (z) {
pi tmp = d[i - 1][j][0][z - 1];
if (tmp.st && tmp.nd + dis(x[i], x[i - 1]) <= t[i]) {
tmp.nd += dis(x[i], x[i - 1]);
minimize(rs, tmp);
}
tmp = d[i - 1][j][1][z - 1];
if (tmp.st && tmp.nd + dis(x[i], x[j]) <= t[i]) {
tmp.nd += dis(x[i], x[j]);
minimize(rs, tmp);
}
}
}
}
else {
if (j <= n) {
pi tmp = d[i][j + 1][1][z];
minimize(rs, {tmp.st, tmp.nd + dis(x[j], x[j + 1])});
tmp = d[i][j + 1][0][z];
minimize(rs, {tmp.st, tmp.nd + dis(x[j], x[i])});
if (z) {
pi tmp = d[i][j + 1][1][z - 1];
if (tmp.st && tmp.nd + dis(x[j], x[j + 1]) <= t[j]) {
tmp.nd += dis(x[j], x[j + 1]);
minimize(rs, tmp);
}
tmp = d[i][j + 1][0][z - 1];
if (tmp.st && tmp.nd + dis(x[j], x[i]) <= t[j]) {
tmp.nd += dis(x[j], x[i]);
minimize(rs, tmp);
}
}
}
}
}
FOR(i, 0, n)
FOS(j, n + 1, i + 1)
FOR(stat, 0, 1)
FOR(z, 0, n)
if (d[i][j][stat][z].st)
rs = max(rs, z);
cout << rs;
return 0;
}
/*
----------------------------------------------------------------
From Benq:
stuff you should look for
* int overflow, array bounds
* special cases (n=1?)
* do smth instead of nothing and stay organized
* WRITE STUFF DOWN
* DON'T GET STUCK ON ONE APPROACH
----------------------------------------------------------------
*/
Compilation message
ho_t3.cpp: In function 'int main()':
ho_t3.cpp:32:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
32 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
| ^
ho_t3.cpp:75:5: note: in expansion of macro 'FOR'
75 | FOR(i, 1, n) cin >> x[i];
| ^~~
ho_t3.cpp:32:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
32 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
| ^
ho_t3.cpp:76:5: note: in expansion of macro 'FOR'
76 | FOR(i, 1, n) cin >> t[i];
| ^~~
ho_t3.cpp:32:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
32 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
| ^
ho_t3.cpp:77:5: note: in expansion of macro 'FOR'
77 | FOR(i, 0, n + 1)
| ^~~
ho_t3.cpp:32:31: warning: unnecessary parentheses in declaration of 'j' [-Wparentheses]
32 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
| ^
ho_t3.cpp:78:5: note: in expansion of macro 'FOR'
78 | FOR(j, 0, n + 1)
| ^~~
ho_t3.cpp:32:31: warning: unnecessary parentheses in declaration of 'stat' [-Wparentheses]
32 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
| ^
ho_t3.cpp:79:5: note: in expansion of macro 'FOR'
79 | FOR(stat, 0, 1)
| ^~~
ho_t3.cpp:32:31: warning: unnecessary parentheses in declaration of 'z' [-Wparentheses]
32 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
| ^
ho_t3.cpp:80:5: note: in expansion of macro 'FOR'
80 | FOR(z, 0, n)
| ^~~
ho_t3.cpp:32:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
32 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
| ^
ho_t3.cpp:82:5: note: in expansion of macro 'FOR'
82 | FOR(i, 0, n + 1)
| ^~~
ho_t3.cpp:33:31: warning: unnecessary parentheses in declaration of 'j' [-Wparentheses]
33 | #define FOS(i, r, l) for (int (i) = (r); (i) >= (l); --(i))
| ^
ho_t3.cpp:83:5: note: in expansion of macro 'FOS'
83 | FOS(j, n + 1, i + 1)
| ^~~
ho_t3.cpp:32:31: warning: unnecessary parentheses in declaration of 'stat' [-Wparentheses]
32 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
| ^
ho_t3.cpp:84:5: note: in expansion of macro 'FOR'
84 | FOR(stat, 0, 1)
| ^~~
ho_t3.cpp:32:31: warning: unnecessary parentheses in declaration of 'z' [-Wparentheses]
32 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
| ^
ho_t3.cpp:85:5: note: in expansion of macro 'FOR'
85 | FOR(z, 0, n) {
| ^~~
ho_t3.cpp:32:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
32 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
| ^
ho_t3.cpp:132:5: note: in expansion of macro 'FOR'
132 | FOR(i, 0, n)
| ^~~
ho_t3.cpp:33:31: warning: unnecessary parentheses in declaration of 'j' [-Wparentheses]
33 | #define FOS(i, r, l) for (int (i) = (r); (i) >= (l); --(i))
| ^
ho_t3.cpp:133:5: note: in expansion of macro 'FOS'
133 | FOS(j, n + 1, i + 1)
| ^~~
ho_t3.cpp:32:31: warning: unnecessary parentheses in declaration of 'stat' [-Wparentheses]
32 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
| ^
ho_t3.cpp:134:5: note: in expansion of macro 'FOR'
134 | FOR(stat, 0, 1)
| ^~~
ho_t3.cpp:32:31: warning: unnecessary parentheses in declaration of 'z' [-Wparentheses]
32 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
| ^
ho_t3.cpp:135:5: note: in expansion of macro 'FOR'
135 | FOR(z, 0, n)
| ^~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
484 KB |
Output is correct |
3 |
Correct |
1 ms |
712 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 |
588 KB |
Output is correct |
8 |
Correct |
1 ms |
724 KB |
Output is correct |
9 |
Correct |
1 ms |
980 KB |
Output is correct |
10 |
Correct |
1 ms |
340 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 |
980 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 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
484 KB |
Output is correct |
3 |
Correct |
1 ms |
712 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 |
588 KB |
Output is correct |
8 |
Correct |
1 ms |
724 KB |
Output is correct |
9 |
Correct |
1 ms |
980 KB |
Output is correct |
10 |
Correct |
1 ms |
340 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 |
980 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 |
1108 KB |
Output is correct |
19 |
Correct |
1 ms |
724 KB |
Output is correct |
20 |
Correct |
1 ms |
980 KB |
Output is correct |
21 |
Correct |
1 ms |
1108 KB |
Output is correct |
22 |
Correct |
1 ms |
724 KB |
Output is correct |
23 |
Correct |
1 ms |
1236 KB |
Output is correct |
24 |
Correct |
1 ms |
980 KB |
Output is correct |
25 |
Correct |
1 ms |
1100 KB |
Output is correct |
26 |
Correct |
1 ms |
1108 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 |
1232 KB |
Output is correct |
30 |
Correct |
1 ms |
1236 KB |
Output is correct |
31 |
Correct |
1 ms |
1108 KB |
Output is correct |
32 |
Correct |
1 ms |
972 KB |
Output is correct |
33 |
Correct |
1 ms |
1236 KB |
Output is correct |
34 |
Correct |
1 ms |
1236 KB |
Output is correct |
35 |
Correct |
1 ms |
1236 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
484 KB |
Output is correct |
3 |
Correct |
1 ms |
712 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 |
588 KB |
Output is correct |
8 |
Correct |
1 ms |
724 KB |
Output is correct |
9 |
Correct |
1 ms |
980 KB |
Output is correct |
10 |
Correct |
1 ms |
340 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 |
980 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 |
209 ms |
104600 KB |
Output is correct |
19 |
Correct |
109 ms |
63740 KB |
Output is correct |
20 |
Correct |
46 ms |
34260 KB |
Output is correct |
21 |
Correct |
106 ms |
60200 KB |
Output is correct |
22 |
Correct |
152 ms |
77796 KB |
Output is correct |
23 |
Correct |
41 ms |
29212 KB |
Output is correct |
24 |
Correct |
27 ms |
22944 KB |
Output is correct |
25 |
Correct |
41 ms |
28628 KB |
Output is correct |
26 |
Correct |
13 ms |
11088 KB |
Output is correct |
27 |
Correct |
43 ms |
29820 KB |
Output is correct |
28 |
Correct |
28 ms |
21360 KB |
Output is correct |
29 |
Correct |
44 ms |
30432 KB |
Output is correct |
30 |
Correct |
29 ms |
24020 KB |
Output is correct |
31 |
Correct |
36 ms |
28500 KB |
Output is correct |
32 |
Correct |
17 ms |
15188 KB |
Output is correct |
33 |
Correct |
43 ms |
28512 KB |
Output is correct |
34 |
Correct |
9 ms |
10456 KB |
Output is correct |
35 |
Correct |
39 ms |
27988 KB |
Output is correct |
36 |
Correct |
16 ms |
13520 KB |
Output is correct |
37 |
Correct |
36 ms |
29900 KB |
Output is correct |
38 |
Correct |
21 ms |
16468 KB |
Output is correct |
39 |
Correct |
39 ms |
31000 KB |
Output is correct |
40 |
Correct |
19 ms |
18388 KB |
Output is correct |
41 |
Correct |
335 ms |
128712 KB |
Output is correct |
42 |
Correct |
137 ms |
87036 KB |
Output is correct |
43 |
Correct |
322 ms |
128624 KB |
Output is correct |
44 |
Correct |
136 ms |
86004 KB |
Output is correct |
45 |
Correct |
320 ms |
128712 KB |
Output is correct |
46 |
Correct |
136 ms |
86956 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
484 KB |
Output is correct |
3 |
Correct |
1 ms |
712 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 |
588 KB |
Output is correct |
8 |
Correct |
1 ms |
724 KB |
Output is correct |
9 |
Correct |
1 ms |
980 KB |
Output is correct |
10 |
Correct |
1 ms |
340 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 |
980 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 |
1108 KB |
Output is correct |
19 |
Correct |
1 ms |
724 KB |
Output is correct |
20 |
Correct |
1 ms |
980 KB |
Output is correct |
21 |
Correct |
1 ms |
1108 KB |
Output is correct |
22 |
Correct |
1 ms |
724 KB |
Output is correct |
23 |
Correct |
1 ms |
1236 KB |
Output is correct |
24 |
Correct |
1 ms |
980 KB |
Output is correct |
25 |
Correct |
1 ms |
1100 KB |
Output is correct |
26 |
Correct |
1 ms |
1108 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 |
1232 KB |
Output is correct |
30 |
Correct |
1 ms |
1236 KB |
Output is correct |
31 |
Correct |
1 ms |
1108 KB |
Output is correct |
32 |
Correct |
1 ms |
972 KB |
Output is correct |
33 |
Correct |
1 ms |
1236 KB |
Output is correct |
34 |
Correct |
1 ms |
1236 KB |
Output is correct |
35 |
Correct |
1 ms |
1236 KB |
Output is correct |
36 |
Correct |
209 ms |
104600 KB |
Output is correct |
37 |
Correct |
109 ms |
63740 KB |
Output is correct |
38 |
Correct |
46 ms |
34260 KB |
Output is correct |
39 |
Correct |
106 ms |
60200 KB |
Output is correct |
40 |
Correct |
152 ms |
77796 KB |
Output is correct |
41 |
Correct |
41 ms |
29212 KB |
Output is correct |
42 |
Correct |
27 ms |
22944 KB |
Output is correct |
43 |
Correct |
41 ms |
28628 KB |
Output is correct |
44 |
Correct |
13 ms |
11088 KB |
Output is correct |
45 |
Correct |
43 ms |
29820 KB |
Output is correct |
46 |
Correct |
28 ms |
21360 KB |
Output is correct |
47 |
Correct |
44 ms |
30432 KB |
Output is correct |
48 |
Correct |
29 ms |
24020 KB |
Output is correct |
49 |
Correct |
36 ms |
28500 KB |
Output is correct |
50 |
Correct |
17 ms |
15188 KB |
Output is correct |
51 |
Correct |
43 ms |
28512 KB |
Output is correct |
52 |
Correct |
9 ms |
10456 KB |
Output is correct |
53 |
Correct |
39 ms |
27988 KB |
Output is correct |
54 |
Correct |
16 ms |
13520 KB |
Output is correct |
55 |
Correct |
36 ms |
29900 KB |
Output is correct |
56 |
Correct |
21 ms |
16468 KB |
Output is correct |
57 |
Correct |
39 ms |
31000 KB |
Output is correct |
58 |
Correct |
19 ms |
18388 KB |
Output is correct |
59 |
Correct |
335 ms |
128712 KB |
Output is correct |
60 |
Correct |
137 ms |
87036 KB |
Output is correct |
61 |
Correct |
322 ms |
128624 KB |
Output is correct |
62 |
Correct |
136 ms |
86004 KB |
Output is correct |
63 |
Correct |
320 ms |
128712 KB |
Output is correct |
64 |
Correct |
136 ms |
86956 KB |
Output is correct |
65 |
Correct |
265 ms |
116472 KB |
Output is correct |
66 |
Correct |
224 ms |
106936 KB |
Output is correct |
67 |
Correct |
227 ms |
102236 KB |
Output is correct |
68 |
Correct |
191 ms |
94484 KB |
Output is correct |
69 |
Correct |
252 ms |
115228 KB |
Output is correct |
70 |
Correct |
286 ms |
110452 KB |
Output is correct |
71 |
Correct |
218 ms |
111728 KB |
Output is correct |
72 |
Correct |
280 ms |
112832 KB |
Output is correct |
73 |
Correct |
196 ms |
104712 KB |
Output is correct |
74 |
Correct |
219 ms |
97796 KB |
Output is correct |
75 |
Correct |
218 ms |
108104 KB |
Output is correct |
76 |
Correct |
294 ms |
123832 KB |
Output is correct |
77 |
Correct |
260 ms |
123828 KB |
Output is correct |
78 |
Correct |
232 ms |
95636 KB |
Output is correct |
79 |
Correct |
200 ms |
99080 KB |
Output is correct |
80 |
Correct |
281 ms |
121332 KB |
Output is correct |
81 |
Correct |
209 ms |
100080 KB |
Output is correct |
82 |
Correct |
206 ms |
105784 KB |
Output is correct |
83 |
Correct |
271 ms |
128828 KB |
Output is correct |
84 |
Correct |
233 ms |
110456 KB |
Output is correct |
85 |
Correct |
246 ms |
120136 KB |
Output is correct |
86 |
Correct |
249 ms |
117652 KB |
Output is correct |
87 |
Correct |
238 ms |
108116 KB |
Output is correct |
88 |
Correct |
343 ms |
129316 KB |
Output is correct |
89 |
Correct |
344 ms |
129328 KB |
Output is correct |
90 |
Correct |
209 ms |
109256 KB |
Output is correct |
91 |
Correct |
356 ms |
129356 KB |
Output is correct |
92 |
Correct |
336 ms |
129352 KB |
Output is correct |
93 |
Correct |
249 ms |
127596 KB |
Output is correct |