#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef double db;
typedef string str;
typedef pair<int,int> pi;
typedef pair<ll,ll> pl;
typedef pair<db,db> pd;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<db> vd;
typedef vector<str> vs;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<pd> vpd;
#define mp make_pair
#define f first
#define s second
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend()
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define pf push_front
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)
const int MOD = 1e9+7; // 998244353;
const int MX = 2e5+5;
const ll INF = 1e18;
const ld PI = acos((ld)-1);
const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1};
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());
template<class T> bool ckmin(T& a, const T& b) {
return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) {
return a < b ? a = b, 1 : 0; }
int pct(int x) { return __builtin_popcount(x); }
int bits(int x) { return 31-__builtin_clz(x); } // floor(log2(x))
int cdiv(int a, int b) { return a/b+!(a<0||a%b == 0); } // division of a by b rounded up, assumes b > 0
int fstTrue(function<bool(int)> f, int lo, int hi) {
hi ++; assert(lo <= hi); // assuming f is increasing
while (lo < hi) { // find first index such that f is true
int mid = (lo+hi)/2;
f(mid) ? hi = mid : lo = mid+1;
}
return lo;
}
// INPUT
template<class A> void re(complex<A>& c);
template<class A, class B> void re(pair<A,B>& p);
template<class A> void re(vector<A>& v);
template<class A, size_t SZ> void re(array<A,SZ>& a);
template<class T> void re(T& x) { cin >> x; }
void re(db& d) { str t; re(t); d = stod(t); }
void re(ld& d) { str t; re(t); d = stold(t); }
template<class H, class... T> void re(H& h, T&... t) { re(h); re(t...); }
template<class A> void re(complex<A>& c) { A a,b; re(a,b); c = {a,b}; }
template<class A, class B> void re(pair<A,B>& p) { re(p.f,p.s); }
template<class A> void re(vector<A>& x) { trav(a,x) re(a); }
template<class A, size_t SZ> void re(array<A,SZ>& x) { trav(a,x) re(a); }
// TO_STRING
#define ts to_string
str ts(char c) { return str(1,c); }
str ts(bool b) { return b ? "true" : "false"; }
str ts(const char* s) { return (str)s; }
str ts(str s) { return s; }
template<class A> str ts(complex<A> c) {
stringstream ss; ss << c; return ss.str(); }
str ts(vector<bool> v) {
str res = "{"; F0R(i,sz(v)) res += char('0'+v[i]);
res += "}"; return res; }
template<size_t SZ> str ts(bitset<SZ> b) {
str res = ""; F0R(i,SZ) res += char('0'+b[i]);
return res; }
template<class A, class B> str ts(pair<A,B> p);
template<class T> str ts(T v) { // containers with begin(), end()
bool fst = 1; str res = "{";
for (const auto& x: v) {
if (!fst) res += ", ";
fst = 0; res += ts(x);
}
res += "}"; return res;
}
template<class A, class B> str ts(pair<A,B> p) {
return "("+ts(p.f)+", "+ts(p.s)+")"; }
// OUTPUT
template<class A> void pr(A x) { cout << ts(x); }
template<class H, class... T> void pr(const H& h, const T&... t) {
pr(h); pr(t...); }
void ps() { pr("\n"); } // print w/ spaces
template<class H, class... T> void ps(const H& h, const T&... t) {
pr(h); if (sizeof...(t)) pr(" "); ps(t...); }
// DEBUG
void DBG() { cerr << "]" << endl; }
template<class H, class... T> void DBG(H h, T... t) {
cerr << ts(h); if (sizeof...(t)) cerr << ", ";
DBG(t...); }
#ifdef LOCAL // compile with -DLOCAL
#define dbg(...) cerr << "LINE(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
#else
#define dbg(...) 0
#endif
// FILE I/O
void setIn(string s) { freopen(s.c_str(),"r",stdin); }
void setOut(string s) { freopen(s.c_str(),"w",stdout); }
void unsyncIO() { ios_base::sync_with_stdio(0); cin.tie(0); }
void setIO(string s = "") {
unsyncIO();
// cin.exceptions(cin.failbit);
// throws exception when do smth illegal
// ex. try to read letter into int
if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
}
const int mx = 205;
int N, L;
ll X[mx];
ll iX[mx];
ll T[mx];
ll iT[mx];
ll dp[mx][mx][2][mx]; //forward index, backward index, side number chosen (0 == forward, 1 == backward). Minimum time for this.
int main() {
setIO();
cin >> N >> L;
for(int i = 1; i <= N; i++){
cin >> X[i];
}
for(int i = 1; i <= N; i++){
cin >> T[i];
}
for(int i = 1; i <= N; i++){
iX[i] = L-X[N+1-i];
iT[i] = T[N+1-i];
}
for(int i = 0; i < mx; i++){
for(int j = 0; j < mx; j++){
for(int k = 0; k < mx; k++){
for(int b0 = 0; b0 < 2; b0++){
dp[i][j][b0][k] = INF;
}
}
}
}
dp[0][0][0][0] = dp[0][0][1][0] = 0;
for(int sum = 0; sum <= N-1; sum++){ //sum --> sum+1
for(int i = 0; i <= sum; i++){
int j = sum-i;
for(int b0 = 0; b0 < 2; b0++){
for(int k = 0; k <= sum; k++){
//dp[i][j][b0][k] --> ckmin(dp[i+0,1][j+0,1][0,1][k+0,1]
for(int b1 = 0; b1 < 2; b1++){
if(b0 == 0 && b1 == 0){
ll finaltime = dp[i][j][b0][k]+X[i+1]-X[i];
int works = 0;
if(finaltime <= T[i+1]){
works = 1;
}
ckmin(dp[i+1][j][b1][k+works], finaltime);
}
else if(b0 == 0 && b1 == 1){
ll finaltime = dp[i][j][b0][k]+iX[j+1]+X[i];
int works = 0;
if(finaltime <= iT[j+1]){
works = 1;
}
ckmin(dp[i][j+1][b1][k+works], finaltime);
}
else if(b0 == 1 && b1 == 0){
ll finaltime = dp[i][j][b0][k]+X[i+1]+iX[j];
int works = 0;
if(finaltime <= T[i+1]){
works = 1;
}
ckmin(dp[i+1][j][b1][k+works], finaltime);
}
else{
ll finaltime = dp[i][j][b0][k]+iX[j+1]-iX[j];
int works = 0;
if(finaltime <= iT[j+1]){
works = 1;
}
ckmin(dp[i][j+1][b1][k+works], finaltime);
}
}
}
}
}
}
int ans = 0;
for(int i = 0; i <= N; i++){
for(int j = 0; j <= N; j++){
if(dp[i][N-i][0][j] < INF || dp[i][N-i][1][j] < INF){
ckmax(ans, j);
}
}
}
ps(ans);
// you should actually read the stuff at the bottom
}
/* stuff you should look for
* int overflow, array bounds
* special cases (n=1?)
* do smth instead of nothing and stay organized
* WRITE STUFF DOWN
*/
Compilation message
ho_t3.cpp: In function 'void setIn(std::__cxx11::string)':
ho_t3.cpp:128:31: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
void setIn(string s) { freopen(s.c_str(),"r",stdin); }
~~~~~~~^~~~~~~~~~~~~~~~~~~~~
ho_t3.cpp: In function 'void setOut(std::__cxx11::string)':
ho_t3.cpp:129:32: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
void setOut(string s) { freopen(s.c_str(),"w",stdout); }
~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
67 ms |
135160 KB |
Output is correct |
2 |
Correct |
70 ms |
135264 KB |
Output is correct |
3 |
Correct |
64 ms |
135160 KB |
Output is correct |
4 |
Correct |
67 ms |
135160 KB |
Output is correct |
5 |
Correct |
67 ms |
135160 KB |
Output is correct |
6 |
Correct |
67 ms |
135160 KB |
Output is correct |
7 |
Correct |
67 ms |
135160 KB |
Output is correct |
8 |
Correct |
65 ms |
135160 KB |
Output is correct |
9 |
Correct |
70 ms |
135160 KB |
Output is correct |
10 |
Correct |
67 ms |
135160 KB |
Output is correct |
11 |
Correct |
65 ms |
135160 KB |
Output is correct |
12 |
Correct |
72 ms |
135160 KB |
Output is correct |
13 |
Correct |
68 ms |
135160 KB |
Output is correct |
14 |
Correct |
68 ms |
135160 KB |
Output is correct |
15 |
Correct |
72 ms |
135160 KB |
Output is correct |
16 |
Correct |
70 ms |
135288 KB |
Output is correct |
17 |
Correct |
65 ms |
135160 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
67 ms |
135160 KB |
Output is correct |
2 |
Correct |
70 ms |
135264 KB |
Output is correct |
3 |
Correct |
64 ms |
135160 KB |
Output is correct |
4 |
Correct |
67 ms |
135160 KB |
Output is correct |
5 |
Correct |
67 ms |
135160 KB |
Output is correct |
6 |
Correct |
67 ms |
135160 KB |
Output is correct |
7 |
Correct |
67 ms |
135160 KB |
Output is correct |
8 |
Correct |
65 ms |
135160 KB |
Output is correct |
9 |
Correct |
70 ms |
135160 KB |
Output is correct |
10 |
Correct |
67 ms |
135160 KB |
Output is correct |
11 |
Correct |
65 ms |
135160 KB |
Output is correct |
12 |
Correct |
72 ms |
135160 KB |
Output is correct |
13 |
Correct |
68 ms |
135160 KB |
Output is correct |
14 |
Correct |
68 ms |
135160 KB |
Output is correct |
15 |
Correct |
72 ms |
135160 KB |
Output is correct |
16 |
Correct |
70 ms |
135288 KB |
Output is correct |
17 |
Correct |
65 ms |
135160 KB |
Output is correct |
18 |
Correct |
75 ms |
135288 KB |
Output is correct |
19 |
Correct |
69 ms |
135160 KB |
Output is correct |
20 |
Correct |
64 ms |
135160 KB |
Output is correct |
21 |
Correct |
72 ms |
135160 KB |
Output is correct |
22 |
Correct |
67 ms |
135288 KB |
Output is correct |
23 |
Correct |
68 ms |
135160 KB |
Output is correct |
24 |
Correct |
68 ms |
135160 KB |
Output is correct |
25 |
Correct |
69 ms |
135292 KB |
Output is correct |
26 |
Correct |
70 ms |
135160 KB |
Output is correct |
27 |
Correct |
67 ms |
135160 KB |
Output is correct |
28 |
Correct |
72 ms |
135292 KB |
Output is correct |
29 |
Correct |
74 ms |
135160 KB |
Output is correct |
30 |
Correct |
66 ms |
135160 KB |
Output is correct |
31 |
Correct |
64 ms |
135168 KB |
Output is correct |
32 |
Correct |
64 ms |
135288 KB |
Output is correct |
33 |
Correct |
65 ms |
135164 KB |
Output is correct |
34 |
Correct |
70 ms |
135288 KB |
Output is correct |
35 |
Correct |
68 ms |
135160 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
67 ms |
135160 KB |
Output is correct |
2 |
Correct |
70 ms |
135264 KB |
Output is correct |
3 |
Correct |
64 ms |
135160 KB |
Output is correct |
4 |
Correct |
67 ms |
135160 KB |
Output is correct |
5 |
Correct |
67 ms |
135160 KB |
Output is correct |
6 |
Correct |
67 ms |
135160 KB |
Output is correct |
7 |
Correct |
67 ms |
135160 KB |
Output is correct |
8 |
Correct |
65 ms |
135160 KB |
Output is correct |
9 |
Correct |
70 ms |
135160 KB |
Output is correct |
10 |
Correct |
67 ms |
135160 KB |
Output is correct |
11 |
Correct |
65 ms |
135160 KB |
Output is correct |
12 |
Correct |
72 ms |
135160 KB |
Output is correct |
13 |
Correct |
68 ms |
135160 KB |
Output is correct |
14 |
Correct |
68 ms |
135160 KB |
Output is correct |
15 |
Correct |
72 ms |
135160 KB |
Output is correct |
16 |
Correct |
70 ms |
135288 KB |
Output is correct |
17 |
Correct |
65 ms |
135160 KB |
Output is correct |
18 |
Correct |
100 ms |
135288 KB |
Output is correct |
19 |
Correct |
84 ms |
135292 KB |
Output is correct |
20 |
Correct |
74 ms |
135164 KB |
Output is correct |
21 |
Correct |
86 ms |
135160 KB |
Output is correct |
22 |
Correct |
90 ms |
135160 KB |
Output is correct |
23 |
Correct |
78 ms |
135288 KB |
Output is correct |
24 |
Correct |
77 ms |
135160 KB |
Output is correct |
25 |
Correct |
74 ms |
135288 KB |
Output is correct |
26 |
Correct |
67 ms |
135160 KB |
Output is correct |
27 |
Correct |
76 ms |
135288 KB |
Output is correct |
28 |
Correct |
73 ms |
135160 KB |
Output is correct |
29 |
Correct |
74 ms |
135288 KB |
Output is correct |
30 |
Correct |
84 ms |
135160 KB |
Output is correct |
31 |
Correct |
86 ms |
135160 KB |
Output is correct |
32 |
Correct |
69 ms |
135160 KB |
Output is correct |
33 |
Correct |
86 ms |
135160 KB |
Output is correct |
34 |
Correct |
68 ms |
135160 KB |
Output is correct |
35 |
Correct |
84 ms |
135160 KB |
Output is correct |
36 |
Correct |
67 ms |
135288 KB |
Output is correct |
37 |
Correct |
75 ms |
135160 KB |
Output is correct |
38 |
Correct |
72 ms |
135288 KB |
Output is correct |
39 |
Correct |
75 ms |
135164 KB |
Output is correct |
40 |
Correct |
78 ms |
135160 KB |
Output is correct |
41 |
Correct |
117 ms |
135160 KB |
Output is correct |
42 |
Correct |
87 ms |
135288 KB |
Output is correct |
43 |
Correct |
122 ms |
135416 KB |
Output is correct |
44 |
Correct |
92 ms |
135288 KB |
Output is correct |
45 |
Correct |
118 ms |
135160 KB |
Output is correct |
46 |
Correct |
87 ms |
135160 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
67 ms |
135160 KB |
Output is correct |
2 |
Correct |
70 ms |
135264 KB |
Output is correct |
3 |
Correct |
64 ms |
135160 KB |
Output is correct |
4 |
Correct |
67 ms |
135160 KB |
Output is correct |
5 |
Correct |
67 ms |
135160 KB |
Output is correct |
6 |
Correct |
67 ms |
135160 KB |
Output is correct |
7 |
Correct |
67 ms |
135160 KB |
Output is correct |
8 |
Correct |
65 ms |
135160 KB |
Output is correct |
9 |
Correct |
70 ms |
135160 KB |
Output is correct |
10 |
Correct |
67 ms |
135160 KB |
Output is correct |
11 |
Correct |
65 ms |
135160 KB |
Output is correct |
12 |
Correct |
72 ms |
135160 KB |
Output is correct |
13 |
Correct |
68 ms |
135160 KB |
Output is correct |
14 |
Correct |
68 ms |
135160 KB |
Output is correct |
15 |
Correct |
72 ms |
135160 KB |
Output is correct |
16 |
Correct |
70 ms |
135288 KB |
Output is correct |
17 |
Correct |
65 ms |
135160 KB |
Output is correct |
18 |
Correct |
75 ms |
135288 KB |
Output is correct |
19 |
Correct |
69 ms |
135160 KB |
Output is correct |
20 |
Correct |
64 ms |
135160 KB |
Output is correct |
21 |
Correct |
72 ms |
135160 KB |
Output is correct |
22 |
Correct |
67 ms |
135288 KB |
Output is correct |
23 |
Correct |
68 ms |
135160 KB |
Output is correct |
24 |
Correct |
68 ms |
135160 KB |
Output is correct |
25 |
Correct |
69 ms |
135292 KB |
Output is correct |
26 |
Correct |
70 ms |
135160 KB |
Output is correct |
27 |
Correct |
67 ms |
135160 KB |
Output is correct |
28 |
Correct |
72 ms |
135292 KB |
Output is correct |
29 |
Correct |
74 ms |
135160 KB |
Output is correct |
30 |
Correct |
66 ms |
135160 KB |
Output is correct |
31 |
Correct |
64 ms |
135168 KB |
Output is correct |
32 |
Correct |
64 ms |
135288 KB |
Output is correct |
33 |
Correct |
65 ms |
135164 KB |
Output is correct |
34 |
Correct |
70 ms |
135288 KB |
Output is correct |
35 |
Correct |
68 ms |
135160 KB |
Output is correct |
36 |
Correct |
100 ms |
135288 KB |
Output is correct |
37 |
Correct |
84 ms |
135292 KB |
Output is correct |
38 |
Correct |
74 ms |
135164 KB |
Output is correct |
39 |
Correct |
86 ms |
135160 KB |
Output is correct |
40 |
Correct |
90 ms |
135160 KB |
Output is correct |
41 |
Correct |
78 ms |
135288 KB |
Output is correct |
42 |
Correct |
77 ms |
135160 KB |
Output is correct |
43 |
Correct |
74 ms |
135288 KB |
Output is correct |
44 |
Correct |
67 ms |
135160 KB |
Output is correct |
45 |
Correct |
76 ms |
135288 KB |
Output is correct |
46 |
Correct |
73 ms |
135160 KB |
Output is correct |
47 |
Correct |
74 ms |
135288 KB |
Output is correct |
48 |
Correct |
84 ms |
135160 KB |
Output is correct |
49 |
Correct |
86 ms |
135160 KB |
Output is correct |
50 |
Correct |
69 ms |
135160 KB |
Output is correct |
51 |
Correct |
86 ms |
135160 KB |
Output is correct |
52 |
Correct |
68 ms |
135160 KB |
Output is correct |
53 |
Correct |
84 ms |
135160 KB |
Output is correct |
54 |
Correct |
67 ms |
135288 KB |
Output is correct |
55 |
Correct |
75 ms |
135160 KB |
Output is correct |
56 |
Correct |
72 ms |
135288 KB |
Output is correct |
57 |
Correct |
75 ms |
135164 KB |
Output is correct |
58 |
Correct |
78 ms |
135160 KB |
Output is correct |
59 |
Correct |
117 ms |
135160 KB |
Output is correct |
60 |
Correct |
87 ms |
135288 KB |
Output is correct |
61 |
Correct |
122 ms |
135416 KB |
Output is correct |
62 |
Correct |
92 ms |
135288 KB |
Output is correct |
63 |
Correct |
118 ms |
135160 KB |
Output is correct |
64 |
Correct |
87 ms |
135160 KB |
Output is correct |
65 |
Correct |
109 ms |
135288 KB |
Output is correct |
66 |
Correct |
105 ms |
135288 KB |
Output is correct |
67 |
Correct |
106 ms |
135288 KB |
Output is correct |
68 |
Correct |
108 ms |
135288 KB |
Output is correct |
69 |
Correct |
109 ms |
135288 KB |
Output is correct |
70 |
Correct |
113 ms |
135160 KB |
Output is correct |
71 |
Correct |
110 ms |
135288 KB |
Output is correct |
72 |
Correct |
116 ms |
135160 KB |
Output is correct |
73 |
Correct |
109 ms |
135288 KB |
Output is correct |
74 |
Correct |
104 ms |
135288 KB |
Output is correct |
75 |
Correct |
104 ms |
135160 KB |
Output is correct |
76 |
Correct |
116 ms |
135288 KB |
Output is correct |
77 |
Correct |
108 ms |
135160 KB |
Output is correct |
78 |
Correct |
97 ms |
135216 KB |
Output is correct |
79 |
Correct |
101 ms |
135160 KB |
Output is correct |
80 |
Correct |
112 ms |
135160 KB |
Output is correct |
81 |
Correct |
97 ms |
135288 KB |
Output is correct |
82 |
Correct |
101 ms |
135468 KB |
Output is correct |
83 |
Correct |
117 ms |
135288 KB |
Output is correct |
84 |
Correct |
101 ms |
135160 KB |
Output is correct |
85 |
Correct |
104 ms |
135160 KB |
Output is correct |
86 |
Correct |
105 ms |
135160 KB |
Output is correct |
87 |
Correct |
101 ms |
135288 KB |
Output is correct |
88 |
Correct |
125 ms |
135288 KB |
Output is correct |
89 |
Correct |
115 ms |
135160 KB |
Output is correct |
90 |
Correct |
110 ms |
135268 KB |
Output is correct |
91 |
Correct |
118 ms |
135160 KB |
Output is correct |
92 |
Correct |
119 ms |
135192 KB |
Output is correct |
93 |
Correct |
102 ms |
135288 KB |
Output is correct |