#include "overtaking.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int MAXN = 1000;
const ll INF = 1e18;
int L, N;
pll P[MAXN+10];
int M, S[MAXN+10];
ll X;
int C[MAXN+10];
ll A[MAXN+10], B[MAXN+10], A2[MAXN+10][MAXN+10], ans[MAXN+10][MAXN+10];
struct Frac
{
ll a, b;
Frac(ll a, ll b) : a(a), b(b) {}
};
bool operator <= (Frac p, Frac q)
{
if(p.a<0) p.a*=-1, p.b*=-1;
if(q.a<0) q.a*=-1, q.b*=-1;
return (__int128)p.b*q.a<=(__int128)q.b*p.a;
}
struct CHT
{
vector<pair<pll, int>> V;
CHT() {}
Frac cross(pll p, pll q) { return {p.first-q.first, q.second-p.second}; }
Frac f(pll p, ll y) { return {p.first, y-p.second}; }
ll f2(pll p, ll y) { return (y-p.second+p.first-1)/p.first; }
void push(pll p, int q)
{
while(!V.empty() && V.back().first.first<=p.first) V.pop_back();
while(V.size()>1 && (V.back().first.first==p.first || cross(V[V.size()-2].first, V[V.size()-1].first)<=cross(V[V.size()-1].first, p))) V.pop_back();
V.push_back({p, q});
}
pll query(ll y)
{
while(V.size()>1 && f(V[V.size()-2].first, y)<=f(V[V.size()-1].first, y)) V.pop_back();
if(V.empty()) return {0, 0};
else
{
return {V.back().second, f2(V.back().first, y)};
}
}
};
vector<ll> V1;
vector<CHT> V2;
void init(int _L, int _N, vector<ll> _T, vector<int> _W, int _X, int _M, vector<int> _S)
{
L=_L; N=_N;
for(int i=1; i<=N; i++) P[i]=pll(_W[i-1], _T[i-1]);
M=_M; X=_X;
for(int i=0; i<M; i++) S[i]=_S[i];
M--;
sort(P+1, P+N+1);
reverse(P+1, P+N+1);
while(N && P[N].first<=X) N--;
for(int i=1; i<=N; i++) C[i]=i;
for(int i=1; i<=N; i++) A[i]=P[i].second;
for(int i=1; i<=N; i++) A2[i][0]=A[i];
for(int i=1; i<=M; i++)
{
for(int j=1; j<=N; j++) B[j]=A[j]+(ll)(S[i]-S[i-1])*P[j].first;
sort(C+1, C+N+1, [&](const int &p, const int &q) { return pll(A[p], B[p])<pll(A[q], B[q]); });
ll t=0;
for(int j=1; j<=N; j++) A[C[j]]=t=max(t, B[C[j]]);
for(int j=1; j<=N; j++) A2[j][i]=A[j];
}
for(int i=M; i>=0; i--)
{
sort(C+1, C+N+1, [&](const int &p, const int &q) { return A2[p][i]<A2[q][i]; });
CHT cht;
for(int j=1; j<=N;)
{
auto p=cht.query(A2[C[j]][i]); p.second+=S[i];
ll val;
if(p.first==0) val=A2[C[j]][i]+X*(L-S[i]);
else
{
if(p.second>L) val=A2[C[j]][i]+X*(L-S[i]);
else
{
int it=lower_bound(S, S+M+1, p.second)-S;
val=ans[p.first][it];
}
}
ll tt=A2[C[j]][i];
for(; j<=N && A2[C[j]][i]==tt; j++)
{
ans[C[j]][i]=val;
cht.push({P[C[j]].first-X, A2[C[j]][i]}, C[j]);
}
if(i==0) V1.push_back(tt), V2.push_back(cht);
}
}
}
ll arrival_time(ll Y)
{
auto it=lower_bound(V1.begin(), V1.end(), Y);
if(it==V1.begin()) return Y+X*L;
it--;
auto &cht = V2[it-V1.begin()];
int lo=0, hi=cht.V.size();
while(lo+1<hi)
{
int mid=lo+hi>>1;
if(cht.f(cht.V[mid].first, Y)<=cht.f(cht.V[mid-1].first, Y)) lo=mid;
else hi=mid;
}
pll p;
if(cht.V.empty()) p={0, 0};
else p=pll(cht.V[lo].second, cht.f2(cht.V[lo].first, Y));
if(p.first==0) return Y+X*L;
else
{
if(p.second>L) return Y+X*L;
else
{
int it=lower_bound(S, S+M+1, p.second)-S;
return ans[p.first][it];
}
}
}
Compilation message
overtaking.cpp: In function 'll arrival_time(ll)':
overtaking.cpp:120:19: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
120 | int mid=lo+hi>>1;
| ~~^~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2592 KB |
Output is correct |
2 |
Correct |
1 ms |
2392 KB |
Output is correct |
3 |
Correct |
1 ms |
2392 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
2392 KB |
Output is correct |
6 |
Correct |
1 ms |
2392 KB |
Output is correct |
7 |
Correct |
1 ms |
2392 KB |
Output is correct |
8 |
Correct |
1 ms |
2392 KB |
Output is correct |
9 |
Correct |
1 ms |
2392 KB |
Output is correct |
10 |
Correct |
1 ms |
2392 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
6488 KB |
Output is correct |
2 |
Correct |
1 ms |
6488 KB |
Output is correct |
3 |
Correct |
1 ms |
6488 KB |
Output is correct |
4 |
Correct |
1 ms |
6488 KB |
Output is correct |
5 |
Correct |
2 ms |
10840 KB |
Output is correct |
6 |
Correct |
2 ms |
14936 KB |
Output is correct |
7 |
Correct |
3 ms |
15704 KB |
Output is correct |
8 |
Correct |
3 ms |
15708 KB |
Output is correct |
9 |
Correct |
4 ms |
15704 KB |
Output is correct |
10 |
Correct |
2 ms |
15704 KB |
Output is correct |
11 |
Correct |
2 ms |
15704 KB |
Output is correct |
12 |
Correct |
2 ms |
15708 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
1 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2592 KB |
Output is correct |
3 |
Correct |
1 ms |
2392 KB |
Output is correct |
4 |
Correct |
1 ms |
2392 KB |
Output is correct |
5 |
Correct |
0 ms |
344 KB |
Output is correct |
6 |
Correct |
1 ms |
6488 KB |
Output is correct |
7 |
Correct |
1 ms |
6488 KB |
Output is correct |
8 |
Correct |
1 ms |
6488 KB |
Output is correct |
9 |
Correct |
2 ms |
6488 KB |
Output is correct |
10 |
Correct |
2 ms |
6496 KB |
Output is correct |
11 |
Correct |
1 ms |
6488 KB |
Output is correct |
12 |
Correct |
1 ms |
6492 KB |
Output is correct |
13 |
Correct |
1 ms |
6488 KB |
Output is correct |
14 |
Correct |
1 ms |
6492 KB |
Output is correct |
15 |
Correct |
2 ms |
6744 KB |
Output is correct |
16 |
Correct |
2 ms |
6744 KB |
Output is correct |
17 |
Correct |
2 ms |
6744 KB |
Output is correct |
18 |
Correct |
2 ms |
6744 KB |
Output is correct |
19 |
Correct |
2 ms |
6488 KB |
Output is correct |
20 |
Correct |
2 ms |
6488 KB |
Output is correct |
21 |
Correct |
1 ms |
6488 KB |
Output is correct |
22 |
Correct |
1 ms |
6488 KB |
Output is correct |
23 |
Correct |
1 ms |
6488 KB |
Output is correct |
24 |
Correct |
2 ms |
6488 KB |
Output is correct |
25 |
Correct |
2 ms |
6488 KB |
Output is correct |
26 |
Correct |
2 ms |
6488 KB |
Output is correct |
27 |
Correct |
2 ms |
6744 KB |
Output is correct |
28 |
Correct |
1 ms |
6492 KB |
Output is correct |
29 |
Correct |
1 ms |
6488 KB |
Output is correct |
30 |
Correct |
1 ms |
6492 KB |
Output is correct |
31 |
Correct |
1 ms |
6492 KB |
Output is correct |
32 |
Correct |
1 ms |
6488 KB |
Output is correct |
33 |
Correct |
1 ms |
6488 KB |
Output is correct |
34 |
Correct |
1 ms |
6488 KB |
Output is correct |
35 |
Correct |
1 ms |
6488 KB |
Output is correct |
36 |
Correct |
1 ms |
6488 KB |
Output is correct |
37 |
Correct |
2 ms |
6488 KB |
Output is correct |
38 |
Correct |
0 ms |
344 KB |
Output is correct |
39 |
Correct |
0 ms |
344 KB |
Output is correct |
40 |
Correct |
1 ms |
6488 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2592 KB |
Output is correct |
3 |
Correct |
1 ms |
2392 KB |
Output is correct |
4 |
Correct |
1 ms |
2392 KB |
Output is correct |
5 |
Correct |
0 ms |
344 KB |
Output is correct |
6 |
Correct |
1 ms |
2392 KB |
Output is correct |
7 |
Correct |
1 ms |
2392 KB |
Output is correct |
8 |
Correct |
1 ms |
2392 KB |
Output is correct |
9 |
Correct |
1 ms |
2392 KB |
Output is correct |
10 |
Correct |
1 ms |
2392 KB |
Output is correct |
11 |
Correct |
1 ms |
2392 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
6488 KB |
Output is correct |
14 |
Correct |
1 ms |
6488 KB |
Output is correct |
15 |
Correct |
1 ms |
6488 KB |
Output is correct |
16 |
Correct |
2 ms |
6488 KB |
Output is correct |
17 |
Correct |
2 ms |
6496 KB |
Output is correct |
18 |
Correct |
1 ms |
6488 KB |
Output is correct |
19 |
Correct |
1 ms |
6492 KB |
Output is correct |
20 |
Correct |
1 ms |
6488 KB |
Output is correct |
21 |
Correct |
1 ms |
6492 KB |
Output is correct |
22 |
Correct |
2 ms |
6744 KB |
Output is correct |
23 |
Correct |
2 ms |
6744 KB |
Output is correct |
24 |
Correct |
2 ms |
6744 KB |
Output is correct |
25 |
Correct |
2 ms |
6744 KB |
Output is correct |
26 |
Correct |
2 ms |
6488 KB |
Output is correct |
27 |
Correct |
2 ms |
6488 KB |
Output is correct |
28 |
Correct |
1 ms |
6488 KB |
Output is correct |
29 |
Correct |
1 ms |
6488 KB |
Output is correct |
30 |
Correct |
1 ms |
6488 KB |
Output is correct |
31 |
Correct |
2 ms |
6488 KB |
Output is correct |
32 |
Correct |
2 ms |
6488 KB |
Output is correct |
33 |
Correct |
2 ms |
6488 KB |
Output is correct |
34 |
Correct |
2 ms |
6744 KB |
Output is correct |
35 |
Correct |
1 ms |
6492 KB |
Output is correct |
36 |
Correct |
1 ms |
6488 KB |
Output is correct |
37 |
Correct |
1 ms |
6492 KB |
Output is correct |
38 |
Correct |
1 ms |
6492 KB |
Output is correct |
39 |
Correct |
1 ms |
6488 KB |
Output is correct |
40 |
Correct |
1 ms |
6488 KB |
Output is correct |
41 |
Correct |
1 ms |
6488 KB |
Output is correct |
42 |
Correct |
1 ms |
6488 KB |
Output is correct |
43 |
Correct |
1 ms |
6488 KB |
Output is correct |
44 |
Correct |
2 ms |
6488 KB |
Output is correct |
45 |
Correct |
0 ms |
344 KB |
Output is correct |
46 |
Correct |
0 ms |
344 KB |
Output is correct |
47 |
Correct |
1 ms |
6488 KB |
Output is correct |
48 |
Correct |
86 ms |
16464 KB |
Output is correct |
49 |
Correct |
82 ms |
16464 KB |
Output is correct |
50 |
Correct |
96 ms |
16376 KB |
Output is correct |
51 |
Correct |
84 ms |
16464 KB |
Output is correct |
52 |
Correct |
86 ms |
16464 KB |
Output is correct |
53 |
Correct |
84 ms |
16464 KB |
Output is correct |
54 |
Correct |
88 ms |
16464 KB |
Output is correct |
55 |
Correct |
69 ms |
16460 KB |
Output is correct |
56 |
Correct |
82 ms |
16464 KB |
Output is correct |
57 |
Correct |
71 ms |
16652 KB |
Output is correct |
58 |
Correct |
87 ms |
16556 KB |
Output is correct |
59 |
Correct |
77 ms |
16468 KB |
Output is correct |
60 |
Correct |
78 ms |
16416 KB |
Output is correct |
61 |
Correct |
82 ms |
16660 KB |
Output is correct |
62 |
Correct |
2 ms |
2648 KB |
Output is correct |
63 |
Correct |
4 ms |
15708 KB |
Output is correct |
64 |
Correct |
38 ms |
10840 KB |
Output is correct |
65 |
Correct |
39 ms |
16468 KB |
Output is correct |
66 |
Correct |
52 ms |
16416 KB |
Output is correct |
67 |
Correct |
75 ms |
16464 KB |
Output is correct |
68 |
Correct |
84 ms |
16464 KB |
Output is correct |
69 |
Correct |
43 ms |
16464 KB |
Output is correct |
70 |
Correct |
45 ms |
16464 KB |
Output is correct |
71 |
Correct |
48 ms |
16464 KB |
Output is correct |
72 |
Correct |
73 ms |
16724 KB |
Output is correct |
73 |
Correct |
51 ms |
16424 KB |
Output is correct |
74 |
Correct |
47 ms |
16464 KB |
Output is correct |
75 |
Correct |
1 ms |
600 KB |
Output is correct |
76 |
Correct |
2 ms |
600 KB |
Output is correct |
77 |
Correct |
1 ms |
600 KB |
Output is correct |
78 |
Correct |
46 ms |
16720 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2592 KB |
Output is correct |
3 |
Correct |
1 ms |
2392 KB |
Output is correct |
4 |
Correct |
1 ms |
2392 KB |
Output is correct |
5 |
Correct |
0 ms |
344 KB |
Output is correct |
6 |
Correct |
1 ms |
2392 KB |
Output is correct |
7 |
Correct |
1 ms |
2392 KB |
Output is correct |
8 |
Correct |
1 ms |
2392 KB |
Output is correct |
9 |
Correct |
1 ms |
2392 KB |
Output is correct |
10 |
Correct |
1 ms |
2392 KB |
Output is correct |
11 |
Correct |
1 ms |
2392 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
6488 KB |
Output is correct |
14 |
Correct |
1 ms |
6488 KB |
Output is correct |
15 |
Correct |
1 ms |
6488 KB |
Output is correct |
16 |
Correct |
1 ms |
6488 KB |
Output is correct |
17 |
Correct |
2 ms |
10840 KB |
Output is correct |
18 |
Correct |
2 ms |
14936 KB |
Output is correct |
19 |
Correct |
3 ms |
15704 KB |
Output is correct |
20 |
Correct |
3 ms |
15708 KB |
Output is correct |
21 |
Correct |
4 ms |
15704 KB |
Output is correct |
22 |
Correct |
2 ms |
15704 KB |
Output is correct |
23 |
Correct |
2 ms |
15704 KB |
Output is correct |
24 |
Correct |
2 ms |
15708 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
344 KB |
Output is correct |
27 |
Correct |
2 ms |
6488 KB |
Output is correct |
28 |
Correct |
2 ms |
6496 KB |
Output is correct |
29 |
Correct |
1 ms |
6488 KB |
Output is correct |
30 |
Correct |
1 ms |
6492 KB |
Output is correct |
31 |
Correct |
1 ms |
6488 KB |
Output is correct |
32 |
Correct |
1 ms |
6492 KB |
Output is correct |
33 |
Correct |
2 ms |
6744 KB |
Output is correct |
34 |
Correct |
2 ms |
6744 KB |
Output is correct |
35 |
Correct |
2 ms |
6744 KB |
Output is correct |
36 |
Correct |
2 ms |
6744 KB |
Output is correct |
37 |
Correct |
2 ms |
6488 KB |
Output is correct |
38 |
Correct |
2 ms |
6488 KB |
Output is correct |
39 |
Correct |
1 ms |
6488 KB |
Output is correct |
40 |
Correct |
1 ms |
6488 KB |
Output is correct |
41 |
Correct |
1 ms |
6488 KB |
Output is correct |
42 |
Correct |
2 ms |
6488 KB |
Output is correct |
43 |
Correct |
2 ms |
6488 KB |
Output is correct |
44 |
Correct |
2 ms |
6488 KB |
Output is correct |
45 |
Correct |
2 ms |
6744 KB |
Output is correct |
46 |
Correct |
1 ms |
6492 KB |
Output is correct |
47 |
Correct |
1 ms |
6488 KB |
Output is correct |
48 |
Correct |
1 ms |
6492 KB |
Output is correct |
49 |
Correct |
1 ms |
6492 KB |
Output is correct |
50 |
Correct |
1 ms |
6488 KB |
Output is correct |
51 |
Correct |
1 ms |
6488 KB |
Output is correct |
52 |
Correct |
1 ms |
6488 KB |
Output is correct |
53 |
Correct |
1 ms |
6488 KB |
Output is correct |
54 |
Correct |
1 ms |
6488 KB |
Output is correct |
55 |
Correct |
2 ms |
6488 KB |
Output is correct |
56 |
Correct |
0 ms |
344 KB |
Output is correct |
57 |
Correct |
0 ms |
344 KB |
Output is correct |
58 |
Correct |
1 ms |
6488 KB |
Output is correct |
59 |
Correct |
86 ms |
16464 KB |
Output is correct |
60 |
Correct |
82 ms |
16464 KB |
Output is correct |
61 |
Correct |
96 ms |
16376 KB |
Output is correct |
62 |
Correct |
84 ms |
16464 KB |
Output is correct |
63 |
Correct |
86 ms |
16464 KB |
Output is correct |
64 |
Correct |
84 ms |
16464 KB |
Output is correct |
65 |
Correct |
88 ms |
16464 KB |
Output is correct |
66 |
Correct |
69 ms |
16460 KB |
Output is correct |
67 |
Correct |
82 ms |
16464 KB |
Output is correct |
68 |
Correct |
71 ms |
16652 KB |
Output is correct |
69 |
Correct |
87 ms |
16556 KB |
Output is correct |
70 |
Correct |
77 ms |
16468 KB |
Output is correct |
71 |
Correct |
78 ms |
16416 KB |
Output is correct |
72 |
Correct |
82 ms |
16660 KB |
Output is correct |
73 |
Correct |
2 ms |
2648 KB |
Output is correct |
74 |
Correct |
4 ms |
15708 KB |
Output is correct |
75 |
Correct |
38 ms |
10840 KB |
Output is correct |
76 |
Correct |
39 ms |
16468 KB |
Output is correct |
77 |
Correct |
52 ms |
16416 KB |
Output is correct |
78 |
Correct |
75 ms |
16464 KB |
Output is correct |
79 |
Correct |
84 ms |
16464 KB |
Output is correct |
80 |
Correct |
43 ms |
16464 KB |
Output is correct |
81 |
Correct |
45 ms |
16464 KB |
Output is correct |
82 |
Correct |
48 ms |
16464 KB |
Output is correct |
83 |
Correct |
73 ms |
16724 KB |
Output is correct |
84 |
Correct |
51 ms |
16424 KB |
Output is correct |
85 |
Correct |
47 ms |
16464 KB |
Output is correct |
86 |
Correct |
1 ms |
600 KB |
Output is correct |
87 |
Correct |
2 ms |
600 KB |
Output is correct |
88 |
Correct |
1 ms |
600 KB |
Output is correct |
89 |
Correct |
46 ms |
16720 KB |
Output is correct |
90 |
Correct |
106 ms |
18768 KB |
Output is correct |
91 |
Correct |
315 ms |
41808 KB |
Output is correct |
92 |
Correct |
331 ms |
41552 KB |
Output is correct |
93 |
Correct |
314 ms |
41812 KB |
Output is correct |
94 |
Correct |
318 ms |
41808 KB |
Output is correct |
95 |
Correct |
322 ms |
41812 KB |
Output is correct |
96 |
Correct |
332 ms |
42012 KB |
Output is correct |
97 |
Correct |
93 ms |
18928 KB |
Output is correct |
98 |
Correct |
325 ms |
41644 KB |
Output is correct |
99 |
Correct |
326 ms |
42320 KB |
Output is correct |
100 |
Correct |
356 ms |
41808 KB |
Output is correct |
101 |
Correct |
317 ms |
41804 KB |
Output is correct |
102 |
Correct |
337 ms |
41808 KB |
Output is correct |
103 |
Correct |
333 ms |
41808 KB |
Output is correct |
104 |
Correct |
275 ms |
35664 KB |
Output is correct |
105 |
Correct |
304 ms |
43344 KB |
Output is correct |
106 |
Correct |
310 ms |
46160 KB |
Output is correct |
107 |
Correct |
354 ms |
45984 KB |
Output is correct |
108 |
Correct |
379 ms |
46160 KB |
Output is correct |
109 |
Correct |
350 ms |
46196 KB |
Output is correct |
110 |
Correct |
405 ms |
46160 KB |
Output is correct |
111 |
Correct |
254 ms |
42084 KB |
Output is correct |
112 |
Correct |
269 ms |
42064 KB |
Output is correct |
113 |
Correct |
318 ms |
43344 KB |
Output is correct |
114 |
Correct |
382 ms |
44368 KB |
Output is correct |
115 |
Correct |
311 ms |
43124 KB |
Output is correct |
116 |
Correct |
280 ms |
43088 KB |
Output is correct |
117 |
Correct |
173 ms |
27984 KB |
Output is correct |
118 |
Correct |
179 ms |
27996 KB |
Output is correct |
119 |
Correct |
167 ms |
27056 KB |
Output is correct |
120 |
Correct |
182 ms |
27984 KB |
Output is correct |
121 |
Correct |
174 ms |
29008 KB |
Output is correct |
122 |
Correct |
264 ms |
38996 KB |
Output is correct |
123 |
Correct |
406 ms |
44112 KB |
Output is correct |
124 |
Correct |
399 ms |
44112 KB |
Output is correct |
125 |
Correct |
397 ms |
44012 KB |
Output is correct |