#include <bits/stdc++.h>
#include "longesttrip.h"
using namespace std;
int binary_search(vector <int> & path, int v){
if (are_connected({path[0]}, {v})) return 0;
int l = 0, r = (int)path.size()-1;
while (r-l > 1){
int m = (l + r) / 2;
vector <int> cur(m+1);
for (int i = 0; i <= m; i++) cur[i] = path[i];
if (are_connected(cur, {v})) r = m;
else l = m;
}
return r;
}
vector <int> longest_trip(int N, int D){
vector <int> path, clique, used(N);
for (int i = 0; i <= 2; i++){
for (int j = 0; j < i; j++){
if (are_connected({i}, {j})){
path = {i, j};
used[i] = used[j] = 1;
break;
}
}
if (!path.empty()) break;
}
mt19937 rnd(239);
vector <int> perm(N);
for (int i = 0; i < N; i++) perm[i] = i;
shuffle(perm.begin(), perm.end(), rnd);
vector <int> non_edge;
for (int vv = 0; vv < N; vv++){
int v = perm[vv];
if (used[v]) continue;
if (rnd() % 2) reverse(path.begin(), path.end());
int P = path.size();
int C = clique.size();
int st = path[0], fin = path[P-1];
// cout << v << endl;
// for (int x : path) cout << x << " ";
// cout << endl;
// for (int y : clique) cout << y << endl;
// cout << endl;
if (!clique.empty()){
int cp, cc;
if (rnd() % 2){
cp = are_connected(path, {v});
cc = (cp == 0 ? 1 : are_connected(clique, {v}));
}
else{
cc = are_connected(clique, {v});
cp = (cc == 0 ? 1 : are_connected(path, {v}));
}
if (cp && cc){
non_edge = {clique[0], path[0]};
int ip = binary_search(path, v);
int ic = binary_search(clique, v);
vector <int> npath;
for (int j = 0; j < P; j++) npath.push_back(path[(j+ip+1)%P]);
npath.push_back(v);
for (int j = 0; j < C; j++) npath.push_back(clique[(j+ic)%C]);
path = npath;
clique.clear();
continue;
}
else if (cc){
clique.push_back(v);
continue;
}
else if (cp){
path.push_back(v);
continue;
}
}
if (!non_edge.empty()){
if (are_connected({st}, {v})){
reverse(path.begin(), path.end());
path.push_back(v);
continue;
}
else if (are_connected({fin}, {v})){
path.push_back(v);
continue;
}
else{
int u = (are_connected({non_edge[0]}, {v}) ? non_edge[0] : non_edge[1]);
int i = -1;
for (int ii = 0; ii < P; ii++)
if (path[ii] == u) i = ii;
vector <int> npath;
for (int j = 0; j < P; j++)
npath.push_back(path[(j+i+1)%P]);
npath.push_back(v);
path = npath;
continue;
}
}
if (are_connected({st}, {v})){
reverse(path.begin(), path.end());
path.push_back(v);
continue;
}
if (!are_connected(path, {v})){
clique.push_back(v);
continue;
}
if (non_edge.empty()) non_edge = {st, v};
if (are_connected({fin}, {v})){
path.push_back(v);
continue;
}
int i = binary_search(path, v);
vector <int> npath;
for (int j = 0; j < P; j++)
npath.push_back(path[(j+i+1)%P]);
npath.push_back(v);
path = npath;
}
assert(path.size() + clique.size() == N);
if (path.size() >= clique.size()) return path;
else return clique;
}
Compilation message
In file included from /usr/include/c++/10/cassert:44,
from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:33,
from longesttrip.cpp:1:
longesttrip.cpp: In function 'std::vector<int> longest_trip(int, int)':
longesttrip.cpp:136:40: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
136 | assert(path.size() + clique.size() == N);
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
2 ms |
344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 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 |
6 ms |
344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 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 |
8 ms |
344 KB |
Output is correct |
7 |
Correct |
9 ms |
344 KB |
Output is correct |
8 |
Correct |
6 ms |
344 KB |
Output is correct |
9 |
Correct |
5 ms |
344 KB |
Output is correct |
10 |
Correct |
8 ms |
344 KB |
Output is correct |
11 |
Correct |
4 ms |
344 KB |
Output is correct |
12 |
Correct |
4 ms |
344 KB |
Output is correct |
13 |
Correct |
5 ms |
344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
344 KB |
Output is correct |
2 |
Correct |
7 ms |
344 KB |
Output is correct |
3 |
Correct |
7 ms |
344 KB |
Output is correct |
4 |
Correct |
7 ms |
344 KB |
Output is correct |
5 |
Correct |
5 ms |
344 KB |
Output is correct |
6 |
Correct |
8 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 |
5 ms |
344 KB |
Output is correct |
11 |
Correct |
5 ms |
344 KB |
Output is correct |
12 |
Correct |
5 ms |
344 KB |
Output is correct |
13 |
Correct |
7 ms |
344 KB |
Output is correct |
14 |
Correct |
9 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 |
9 ms |
344 KB |
Output is correct |
19 |
Correct |
5 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 |
444 KB |
Output is correct |
24 |
Correct |
6 ms |
344 KB |
Output is correct |
25 |
Correct |
9 ms |
344 KB |
Output is correct |
26 |
Correct |
8 ms |
344 KB |
Output is correct |
27 |
Correct |
7 ms |
344 KB |
Output is correct |
28 |
Correct |
9 ms |
344 KB |
Output is correct |
29 |
Correct |
7 ms |
344 KB |
Output is correct |
30 |
Correct |
8 ms |
344 KB |
Output is correct |
31 |
Correct |
9 ms |
344 KB |
Output is correct |
32 |
Correct |
8 ms |
344 KB |
Output is correct |
33 |
Correct |
7 ms |
344 KB |
Output is correct |
34 |
Correct |
7 ms |
436 KB |
Output is correct |
35 |
Correct |
9 ms |
344 KB |
Output is correct |
36 |
Correct |
8 ms |
440 KB |
Output is correct |
37 |
Correct |
11 ms |
600 KB |
Output is correct |
38 |
Correct |
14 ms |
344 KB |
Output is correct |
39 |
Correct |
12 ms |
344 KB |
Output is correct |
40 |
Correct |
19 ms |
344 KB |
Output is correct |
41 |
Correct |
13 ms |
344 KB |
Output is correct |
42 |
Correct |
16 ms |
344 KB |
Output is correct |
43 |
Correct |
12 ms |
344 KB |
Output is correct |
44 |
Correct |
14 ms |
344 KB |
Output is correct |
45 |
Correct |
8 ms |
344 KB |
Output is correct |
46 |
Correct |
9 ms |
344 KB |
Output is correct |
47 |
Correct |
11 ms |
344 KB |
Output is correct |
48 |
Correct |
11 ms |
344 KB |
Output is correct |
49 |
Correct |
9 ms |
344 KB |
Output is correct |
50 |
Correct |
7 ms |
344 KB |
Output is correct |
51 |
Correct |
9 ms |
344 KB |
Output is correct |
52 |
Correct |
8 ms |
344 KB |
Output is correct |
53 |
Correct |
7 ms |
344 KB |
Output is correct |
54 |
Correct |
8 ms |
440 KB |
Output is correct |
55 |
Correct |
7 ms |
344 KB |
Output is correct |
56 |
Correct |
9 ms |
344 KB |
Output is correct |
57 |
Correct |
11 ms |
464 KB |
Output is correct |
58 |
Correct |
11 ms |
600 KB |
Output is correct |
59 |
Correct |
8 ms |
344 KB |
Output is correct |
60 |
Correct |
16 ms |
344 KB |
Output is correct |
61 |
Correct |
13 ms |
344 KB |
Output is correct |
62 |
Correct |
14 ms |
592 KB |
Output is correct |
63 |
Correct |
9 ms |
344 KB |
Output is correct |
64 |
Correct |
8 ms |
344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
344 KB |
Output is correct |
2 |
Correct |
4 ms |
344 KB |
Output is correct |
3 |
Correct |
6 ms |
344 KB |
Output is correct |
4 |
Correct |
7 ms |
344 KB |
Output is correct |
5 |
Correct |
8 ms |
344 KB |
Output is correct |
6 |
Correct |
12 ms |
344 KB |
Output is correct |
7 |
Correct |
9 ms |
344 KB |
Output is correct |
8 |
Correct |
8 ms |
344 KB |
Output is correct |
9 |
Correct |
5 ms |
344 KB |
Output is correct |
10 |
Correct |
4 ms |
344 KB |
Output is correct |
11 |
Correct |
5 ms |
344 KB |
Output is correct |
12 |
Correct |
5 ms |
344 KB |
Output is correct |
13 |
Correct |
5 ms |
344 KB |
Output is correct |
14 |
Correct |
9 ms |
344 KB |
Output is correct |
15 |
Correct |
9 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 |
344 KB |
Output is correct |
19 |
Correct |
6 ms |
344 KB |
Output is correct |
20 |
Correct |
7 ms |
344 KB |
Output is correct |
21 |
Correct |
10 ms |
344 KB |
Output is correct |
22 |
Correct |
9 ms |
344 KB |
Output is correct |
23 |
Correct |
7 ms |
344 KB |
Output is correct |
24 |
Correct |
6 ms |
344 KB |
Output is correct |
25 |
Correct |
7 ms |
344 KB |
Output is correct |
26 |
Correct |
7 ms |
344 KB |
Output is correct |
27 |
Correct |
10 ms |
600 KB |
Output is correct |
28 |
Correct |
8 ms |
344 KB |
Output is correct |
29 |
Correct |
7 ms |
344 KB |
Output is correct |
30 |
Correct |
10 ms |
356 KB |
Output is correct |
31 |
Correct |
7 ms |
344 KB |
Output is correct |
32 |
Correct |
10 ms |
344 KB |
Output is correct |
33 |
Correct |
7 ms |
344 KB |
Output is correct |
34 |
Correct |
8 ms |
344 KB |
Output is correct |
35 |
Correct |
10 ms |
344 KB |
Output is correct |
36 |
Correct |
7 ms |
344 KB |
Output is correct |
37 |
Correct |
8 ms |
344 KB |
Output is correct |
38 |
Correct |
7 ms |
344 KB |
Output is correct |
39 |
Correct |
8 ms |
344 KB |
Output is correct |
40 |
Correct |
8 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 |
6 ms |
344 KB |
Output is correct |
44 |
Correct |
6 ms |
344 KB |
Output is correct |
45 |
Correct |
7 ms |
344 KB |
Output is correct |
46 |
Correct |
8 ms |
344 KB |
Output is correct |
47 |
Correct |
11 ms |
344 KB |
Output is correct |
48 |
Correct |
13 ms |
600 KB |
Output is correct |
49 |
Correct |
14 ms |
344 KB |
Output is correct |
50 |
Correct |
12 ms |
344 KB |
Output is correct |
51 |
Correct |
13 ms |
600 KB |
Output is correct |
52 |
Correct |
19 ms |
344 KB |
Output is correct |
53 |
Correct |
14 ms |
344 KB |
Output is correct |
54 |
Correct |
18 ms |
344 KB |
Output is correct |
55 |
Correct |
13 ms |
344 KB |
Output is correct |
56 |
Correct |
10 ms |
344 KB |
Output is correct |
57 |
Correct |
12 ms |
344 KB |
Output is correct |
58 |
Correct |
13 ms |
344 KB |
Output is correct |
59 |
Partially correct |
13 ms |
600 KB |
Output is partially correct |
60 |
Correct |
17 ms |
344 KB |
Output is correct |
61 |
Correct |
13 ms |
344 KB |
Output is correct |
62 |
Correct |
6 ms |
344 KB |
Output is correct |
63 |
Correct |
8 ms |
344 KB |
Output is correct |
64 |
Correct |
11 ms |
612 KB |
Output is correct |
65 |
Correct |
13 ms |
344 KB |
Output is correct |
66 |
Correct |
11 ms |
344 KB |
Output is correct |
67 |
Correct |
9 ms |
456 KB |
Output is correct |
68 |
Correct |
12 ms |
344 KB |
Output is correct |
69 |
Correct |
9 ms |
344 KB |
Output is correct |
70 |
Correct |
11 ms |
344 KB |
Output is correct |
71 |
Correct |
7 ms |
344 KB |
Output is correct |
72 |
Correct |
10 ms |
432 KB |
Output is correct |
73 |
Partially correct |
15 ms |
344 KB |
Output is partially correct |
74 |
Correct |
10 ms |
344 KB |
Output is correct |
75 |
Partially correct |
14 ms |
448 KB |
Output is partially correct |
76 |
Correct |
10 ms |
600 KB |
Output is correct |
77 |
Correct |
11 ms |
456 KB |
Output is correct |
78 |
Correct |
10 ms |
460 KB |
Output is correct |
79 |
Correct |
10 ms |
344 KB |
Output is correct |
80 |
Correct |
15 ms |
456 KB |
Output is correct |
81 |
Partially correct |
11 ms |
600 KB |
Output is partially correct |
82 |
Correct |
10 ms |
344 KB |
Output is correct |