#include "longesttrip.h"
#include <bits/stdc++.h>
using namespace std;
vector<int> solve_d3(int N, int D)
{
vector<int> res(N);
iota(res.begin(), res.end(), 0);
return res;
}
vector<int> solve_d2(int N, int D)
{
queue<int> stops;
for (int i = 1; i < N; i++)
stops.push(i);
deque<int> trip = {0};
while (stops.size() > 1)
{
int next = stops.front();
stops.pop();
int last = trip.back();
if (are_connected({next}, {last}))
{
trip.push_back(next);
}
else
{
trip.push_back(stops.front());
stops.pop();
trip.push_back(next);
}
}
if (stops.size() == 1)
{
int next = stops.front();
int last = trip.back();
if (are_connected({next}, {last}))
{
trip.push_back(next);
}
else
{
trip.push_front(stops.front());
stops.pop();
}
}
vector<int> res;
for (int x : trip)
res.push_back(x);
return res;
}
int pop(queue<int> &q)
{
int x = q.front();
q.pop();
return x;
}
const bool maybe = true;
map<pair<int, int>, bool> cache;
bool are_conn(vector<int> a, vector<int> b) {
if (a.size() != 1 || b.size() != 1) return are_connected(a, b);
int x = a[0], y = b[0];
if (x < y) swap(x, y);
if (cache.count({x, y})) return cache[{x, y}];
cache[{x, y}] = are_connected(a, b);
return cache[{x, y}];
}
vector<int> longest_trip(int N, int D)
{
if (D == 3)
return solve_d3(N, D);
if (D == 2)
return solve_d2(N, D);
cache.clear();
queue<int> nodes;
for (int i = 0; i < N; i++)
nodes.push(i);
vector<int> a, b;
a.push_back(pop(nodes));
bool ends_connected = maybe;
// false = a and b are not connected
// true = a and b are maybe connected
while (!nodes.empty())
{
if (b.empty())
{
int n = pop(nodes);
if (are_conn({a.back()}, {n}))
{
a.push_back(n);
}
else
{
// missed optimization
// we could cache that a and b are not connected
b.push_back(n);
ends_connected = false;
}
continue;
}
// both a and b are non-empty
int n = pop(nodes);
if (are_conn({a.back()}, {n}))
{
a.push_back(n);
ends_connected = maybe;
}
else if (are_conn({b.back()}, {n}))
{
b.push_back(n);
ends_connected = false;
}
else
{
// ends of a and b are definitely connected
while (!b.empty())
{
a.push_back(b.back());
b.pop_back();
}
assert(b.empty());
b.push_back(n);
}
}
if (b.empty())
{
return a;
}
if (ends_connected == maybe && are_conn({a.back()}, {b.back()}))
{
while (!b.empty())
{
a.push_back(b.back());
b.pop_back();
}
return a;
}
if (!are_conn(a, b))
{
if (a.size() > b.size())
{
return a;
}
else
{
return b;
}
}
if (a.size() < b.size())
swap(a, b);
assert(a.size() >= b.size());
bool a_circle = are_conn({a.front()}, {a.back()});
if (!a_circle)
{
for (int x : a)
b.push_back(x);
return b;
}
// a is a circle
bool b_circle = b.size() == 1 || are_conn({b.front()}, {b.back()});
if (!b_circle) {
for (int x : b) a.push_back(x);
return a;
}
// both a and b are circles
deque<int> A, B;
for (int x : a) A.push_back(x);
for (int x : b) B.push_back(x);
while (true) {
int e = A.front(); A.pop_front();
A.push_back(e);
if (are_conn({e}, b)) break;
}
while (true) {
int e = B.back(); B.pop_back();
B.push_front(e);
if (are_conn({A.back()}, {e})) break;
}
vector<int> res;
for (int x : A) res.push_back(x);
for (int x : B) res.push_back(x);
return res;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
2 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
344 KB |
Output is correct |
2 |
Correct |
5 ms |
344 KB |
Output is correct |
3 |
Correct |
5 ms |
344 KB |
Output is correct |
4 |
Correct |
5 ms |
344 KB |
Output is correct |
5 |
Correct |
5 ms |
344 KB |
Output is correct |
6 |
Correct |
6 ms |
344 KB |
Output is correct |
7 |
Correct |
7 ms |
344 KB |
Output is correct |
8 |
Correct |
6 ms |
344 KB |
Output is correct |
9 |
Correct |
6 ms |
344 KB |
Output is correct |
10 |
Correct |
5 ms |
344 KB |
Output is correct |
11 |
Correct |
4 ms |
344 KB |
Output is correct |
12 |
Correct |
5 ms |
344 KB |
Output is correct |
13 |
Correct |
6 ms |
600 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
344 KB |
Output is correct |
2 |
Correct |
5 ms |
344 KB |
Output is correct |
3 |
Correct |
5 ms |
344 KB |
Output is correct |
4 |
Correct |
5 ms |
344 KB |
Output is correct |
5 |
Correct |
6 ms |
344 KB |
Output is correct |
6 |
Correct |
6 ms |
344 KB |
Output is correct |
7 |
Correct |
6 ms |
344 KB |
Output is correct |
8 |
Correct |
5 ms |
344 KB |
Output is correct |
9 |
Correct |
5 ms |
344 KB |
Output is correct |
10 |
Correct |
6 ms |
344 KB |
Output is correct |
11 |
Correct |
5 ms |
600 KB |
Output is correct |
12 |
Correct |
5 ms |
344 KB |
Output is correct |
13 |
Correct |
6 ms |
344 KB |
Output is correct |
14 |
Correct |
7 ms |
344 KB |
Output is correct |
15 |
Correct |
8 ms |
344 KB |
Output is correct |
16 |
Correct |
8 ms |
344 KB |
Output is correct |
17 |
Correct |
10 ms |
344 KB |
Output is correct |
18 |
Correct |
7 ms |
436 KB |
Output is correct |
19 |
Correct |
6 ms |
344 KB |
Output is correct |
20 |
Correct |
7 ms |
344 KB |
Output is correct |
21 |
Correct |
6 ms |
344 KB |
Output is correct |
22 |
Correct |
6 ms |
344 KB |
Output is correct |
23 |
Correct |
6 ms |
464 KB |
Output is correct |
24 |
Correct |
6 ms |
344 KB |
Output is correct |
25 |
Correct |
8 ms |
344 KB |
Output is correct |
26 |
Correct |
8 ms |
344 KB |
Output is correct |
27 |
Correct |
6 ms |
344 KB |
Output is correct |
28 |
Correct |
7 ms |
344 KB |
Output is correct |
29 |
Correct |
6 ms |
344 KB |
Output is correct |
30 |
Correct |
6 ms |
344 KB |
Output is correct |
31 |
Correct |
6 ms |
340 KB |
Output is correct |
32 |
Correct |
8 ms |
344 KB |
Output is correct |
33 |
Correct |
8 ms |
344 KB |
Output is correct |
34 |
Correct |
6 ms |
344 KB |
Output is correct |
35 |
Correct |
6 ms |
344 KB |
Output is correct |
36 |
Correct |
5 ms |
344 KB |
Output is correct |
37 |
Correct |
5 ms |
344 KB |
Output is correct |
38 |
Correct |
6 ms |
344 KB |
Output is correct |
39 |
Correct |
7 ms |
344 KB |
Output is correct |
40 |
Correct |
9 ms |
344 KB |
Output is correct |
41 |
Correct |
12 ms |
344 KB |
Output is correct |
42 |
Correct |
8 ms |
596 KB |
Output is correct |
43 |
Correct |
10 ms |
340 KB |
Output is correct |
44 |
Correct |
7 ms |
344 KB |
Output is correct |
45 |
Correct |
6 ms |
344 KB |
Output is correct |
46 |
Correct |
8 ms |
344 KB |
Output is correct |
47 |
Correct |
7 ms |
344 KB |
Output is correct |
48 |
Correct |
8 ms |
344 KB |
Output is correct |
49 |
Correct |
8 ms |
344 KB |
Output is correct |
50 |
Correct |
8 ms |
344 KB |
Output is correct |
51 |
Correct |
12 ms |
344 KB |
Output is correct |
52 |
Correct |
12 ms |
344 KB |
Output is correct |
53 |
Correct |
8 ms |
344 KB |
Output is correct |
54 |
Correct |
7 ms |
344 KB |
Output is correct |
55 |
Correct |
11 ms |
344 KB |
Output is correct |
56 |
Correct |
9 ms |
600 KB |
Output is correct |
57 |
Correct |
9 ms |
344 KB |
Output is correct |
58 |
Correct |
11 ms |
600 KB |
Output is correct |
59 |
Correct |
14 ms |
344 KB |
Output is correct |
60 |
Correct |
17 ms |
344 KB |
Output is correct |
61 |
Correct |
11 ms |
476 KB |
Output is correct |
62 |
Correct |
13 ms |
440 KB |
Output is correct |
63 |
Correct |
10 ms |
344 KB |
Output is correct |
64 |
Correct |
19 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
344 KB |
Output is correct |
2 |
Correct |
6 ms |
344 KB |
Output is correct |
3 |
Correct |
5 ms |
344 KB |
Output is correct |
4 |
Correct |
6 ms |
344 KB |
Output is correct |
5 |
Correct |
5 ms |
344 KB |
Output is correct |
6 |
Correct |
7 ms |
344 KB |
Output is correct |
7 |
Correct |
5 ms |
340 KB |
Output is correct |
8 |
Correct |
4 ms |
596 KB |
Output is correct |
9 |
Correct |
6 ms |
344 KB |
Output is correct |
10 |
Correct |
6 ms |
600 KB |
Output is correct |
11 |
Correct |
5 ms |
344 KB |
Output is correct |
12 |
Correct |
5 ms |
344 KB |
Output is correct |
13 |
Correct |
8 ms |
344 KB |
Output is correct |
14 |
Correct |
8 ms |
344 KB |
Output is correct |
15 |
Correct |
8 ms |
344 KB |
Output is correct |
16 |
Correct |
8 ms |
344 KB |
Output is correct |
17 |
Correct |
7 ms |
344 KB |
Output is correct |
18 |
Correct |
7 ms |
344 KB |
Output is correct |
19 |
Correct |
6 ms |
344 KB |
Output is correct |
20 |
Correct |
6 ms |
340 KB |
Output is correct |
21 |
Correct |
9 ms |
344 KB |
Output is correct |
22 |
Correct |
8 ms |
344 KB |
Output is correct |
23 |
Correct |
5 ms |
344 KB |
Output is correct |
24 |
Correct |
8 ms |
344 KB |
Output is correct |
25 |
Correct |
6 ms |
340 KB |
Output is correct |
26 |
Correct |
6 ms |
344 KB |
Output is correct |
27 |
Correct |
6 ms |
344 KB |
Output is correct |
28 |
Correct |
8 ms |
344 KB |
Output is correct |
29 |
Correct |
6 ms |
600 KB |
Output is correct |
30 |
Correct |
5 ms |
344 KB |
Output is correct |
31 |
Correct |
9 ms |
440 KB |
Output is correct |
32 |
Correct |
7 ms |
344 KB |
Output is correct |
33 |
Correct |
9 ms |
344 KB |
Output is correct |
34 |
Correct |
7 ms |
344 KB |
Output is correct |
35 |
Correct |
9 ms |
344 KB |
Output is correct |
36 |
Correct |
8 ms |
344 KB |
Output is correct |
37 |
Correct |
9 ms |
440 KB |
Output is correct |
38 |
Correct |
14 ms |
344 KB |
Output is correct |
39 |
Correct |
10 ms |
344 KB |
Output is correct |
40 |
Correct |
7 ms |
344 KB |
Output is correct |
41 |
Correct |
8 ms |
344 KB |
Output is correct |
42 |
Correct |
8 ms |
344 KB |
Output is correct |
43 |
Correct |
5 ms |
600 KB |
Output is correct |
44 |
Correct |
8 ms |
436 KB |
Output is correct |
45 |
Correct |
6 ms |
344 KB |
Output is correct |
46 |
Correct |
6 ms |
444 KB |
Output is correct |
47 |
Correct |
4 ms |
344 KB |
Output is correct |
48 |
Correct |
5 ms |
344 KB |
Output is correct |
49 |
Correct |
6 ms |
344 KB |
Output is correct |
50 |
Correct |
7 ms |
344 KB |
Output is correct |
51 |
Partially correct |
8 ms |
344 KB |
Output is partially correct |
52 |
Correct |
8 ms |
344 KB |
Output is correct |
53 |
Correct |
9 ms |
444 KB |
Output is correct |
54 |
Correct |
8 ms |
448 KB |
Output is correct |
55 |
Correct |
8 ms |
344 KB |
Output is correct |
56 |
Correct |
6 ms |
344 KB |
Output is correct |
57 |
Partially correct |
7 ms |
456 KB |
Output is partially correct |
58 |
Partially correct |
11 ms |
464 KB |
Output is partially correct |
59 |
Partially correct |
9 ms |
344 KB |
Output is partially correct |
60 |
Correct |
10 ms |
344 KB |
Output is correct |
61 |
Correct |
8 ms |
344 KB |
Output is correct |
62 |
Partially correct |
10 ms |
344 KB |
Output is partially correct |
63 |
Partially correct |
12 ms |
344 KB |
Output is partially correct |
64 |
Partially correct |
10 ms |
600 KB |
Output is partially correct |
65 |
Partially correct |
13 ms |
344 KB |
Output is partially correct |
66 |
Partially correct |
11 ms |
344 KB |
Output is partially correct |
67 |
Partially correct |
10 ms |
344 KB |
Output is partially correct |
68 |
Partially correct |
14 ms |
600 KB |
Output is partially correct |
69 |
Partially correct |
11 ms |
344 KB |
Output is partially correct |
70 |
Partially correct |
13 ms |
456 KB |
Output is partially correct |
71 |
Partially correct |
7 ms |
344 KB |
Output is partially correct |
72 |
Partially correct |
11 ms |
344 KB |
Output is partially correct |
73 |
Partially correct |
17 ms |
344 KB |
Output is partially correct |
74 |
Partially correct |
13 ms |
344 KB |
Output is partially correct |
75 |
Partially correct |
12 ms |
616 KB |
Output is partially correct |
76 |
Partially correct |
19 ms |
340 KB |
Output is partially correct |
77 |
Partially correct |
10 ms |
344 KB |
Output is partially correct |
78 |
Partially correct |
11 ms |
344 KB |
Output is partially correct |
79 |
Partially correct |
9 ms |
344 KB |
Output is partially correct |
80 |
Partially correct |
9 ms |
472 KB |
Output is partially correct |
81 |
Partially correct |
14 ms |
344 KB |
Output is partially correct |
82 |
Partially correct |
11 ms |
344 KB |
Output is partially correct |