#include "longesttrip.h"
#include <bits/stdc++.h>
#define pb push_back
using namespace std;
void extend(vector<int>& a, vector<int>& b, int first, int last)
{
for (int i = first; i <= last; i++) {
a.pb(b[i]);
}
}
bool connected(vector<int> v1, vector<int> v2)
{
v1.resize(unique(v1.begin(), v1.end()) - v1.begin());
v2.resize(unique(v2.begin(), v2.end()) - v2.begin());
return are_connected(v1, v2);
}
vector<int> longest_trip(int N, int D)
{
vector<int> v1, v2;
v1.pb(0);
v2.pb(1);
// Randomize the order of elements
vector<int> order;
for (int i = 2; i < N; i++) {
order.pb(i);
}
srand(15);
random_shuffle(order.begin(), order.end());
// True if we are sure that the last elements of v1 and v2 are disconnected
bool last_disconnect = false;
for (int j = 0; j < N - 2; j++) {
int i = order[j];
if (connected({v1.back()}, {i})) {
v1.pb(i);
last_disconnect = false;
}
else {
if (last_disconnect || connected({v2.back()}, {i})) {
v2.pb(i);
// i and v1.back() are not connected(asserted above)
last_disconnect = true;
}
else {
// The density constraint means that the last elements of v1 and v2 are connected
reverse(v2.begin(), v2.end());
extend(v1, v2, 0, v2.size() - 1);
if (v2.size() > 1) {
last_disconnect = false;
}
else {
// The last element of the new v1 is, once again, v2.back() and it is definetely not connected to i
last_disconnect = true;
}
v2.clear();
v2.pb(i);
}
}
if (v1.size() < v2.size()) {
swap(v1, v2);
}
}
vector<int> res;
if (connected(v1, v2)) {
if (connected({v1.front(), v1.back()}, {v2.front(), v2.back()})) {
// Some endpoints are connected
if (connected({v1.front()}, {v2.front(), v2.back()})) {
reverse(v1.begin(), v1.end());
}
if (connected({v1.back()}, {v2.back()})) {
reverse(v2.begin(), v2.end());
}
extend(res, v1, 0, v1.size() - 1);
extend(res, v2, 0, v2.size() - 1);
}
else {
// No endpoints are connected => v1 and v2 are 2 cycles
int l = 0;
int r = v1.size();
while (l + 1 < r) {
int mid = (l + r) / 2;
if (connected(vector<int>(v1.begin(), v1.begin() + mid), v2)) {
r = mid;
}
else {
l = mid;
}
}
int p1 = l;
l = 0;
r = v2.size();
while (l + 1 < r) {
int mid = (l + r) / 2;
if (connected(vector<int>(v2.begin(), v2.begin() + mid), {v1[p1]})) {
r = mid;
}
else {
l = mid;
}
}
int p2 = l;
extend(res, v1, p1 + 1, v1.size() - 1);
extend(res, v1, 0, p1);
extend(res, v2, p2, v2.size() - 1);
extend(res, v2, 0, p2 - 1);
}
}
else {
res = v1;
}
return res;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
1 ms |
344 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
11 ms |
344 KB |
Output is correct |
| 2 |
Correct |
8 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 |
6 ms |
344 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
11 ms |
344 KB |
Output is correct |
| 2 |
Correct |
7 ms |
344 KB |
Output is correct |
| 3 |
Correct |
10 ms |
344 KB |
Output is correct |
| 4 |
Correct |
6 ms |
344 KB |
Output is correct |
| 5 |
Correct |
9 ms |
344 KB |
Output is correct |
| 6 |
Correct |
12 ms |
344 KB |
Output is correct |
| 7 |
Correct |
8 ms |
344 KB |
Output is correct |
| 8 |
Correct |
5 ms |
344 KB |
Output is correct |
| 9 |
Correct |
4 ms |
344 KB |
Output is correct |
| 10 |
Correct |
4 ms |
344 KB |
Output is correct |
| 11 |
Correct |
7 ms |
344 KB |
Output is correct |
| 12 |
Correct |
5 ms |
344 KB |
Output is correct |
| 13 |
Correct |
4 ms |
344 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
12 ms |
596 KB |
Output is correct |
| 2 |
Correct |
7 ms |
344 KB |
Output is correct |
| 3 |
Correct |
6 ms |
344 KB |
Output is correct |
| 4 |
Correct |
4 ms |
344 KB |
Output is correct |
| 5 |
Correct |
5 ms |
368 KB |
Output is correct |
| 6 |
Correct |
12 ms |
344 KB |
Output is correct |
| 7 |
Correct |
9 ms |
340 KB |
Output is correct |
| 8 |
Correct |
7 ms |
344 KB |
Output is correct |
| 9 |
Correct |
6 ms |
600 KB |
Output is correct |
| 10 |
Correct |
7 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 |
6 ms |
600 KB |
Output is correct |
| 14 |
Correct |
6 ms |
344 KB |
Output is correct |
| 15 |
Correct |
7 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 |
6 ms |
344 KB |
Output is correct |
| 19 |
Correct |
7 ms |
600 KB |
Output is correct |
| 20 |
Correct |
6 ms |
344 KB |
Output is correct |
| 21 |
Correct |
6 ms |
344 KB |
Output is correct |
| 22 |
Correct |
8 ms |
344 KB |
Output is correct |
| 23 |
Correct |
6 ms |
344 KB |
Output is correct |
| 24 |
Correct |
8 ms |
344 KB |
Output is correct |
| 25 |
Correct |
7 ms |
344 KB |
Output is correct |
| 26 |
Correct |
5 ms |
344 KB |
Output is correct |
| 27 |
Correct |
9 ms |
344 KB |
Output is correct |
| 28 |
Correct |
6 ms |
344 KB |
Output is correct |
| 29 |
Correct |
6 ms |
344 KB |
Output is correct |
| 30 |
Correct |
7 ms |
344 KB |
Output is correct |
| 31 |
Correct |
6 ms |
344 KB |
Output is correct |
| 32 |
Correct |
7 ms |
344 KB |
Output is correct |
| 33 |
Correct |
5 ms |
344 KB |
Output is correct |
| 34 |
Correct |
7 ms |
344 KB |
Output is correct |
| 35 |
Correct |
5 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 |
4 ms |
344 KB |
Output is correct |
| 39 |
Correct |
4 ms |
344 KB |
Output is correct |
| 40 |
Correct |
9 ms |
344 KB |
Output is correct |
| 41 |
Correct |
8 ms |
344 KB |
Output is correct |
| 42 |
Correct |
7 ms |
344 KB |
Output is correct |
| 43 |
Correct |
5 ms |
344 KB |
Output is correct |
| 44 |
Correct |
5 ms |
344 KB |
Output is correct |
| 45 |
Correct |
8 ms |
344 KB |
Output is correct |
| 46 |
Correct |
10 ms |
344 KB |
Output is correct |
| 47 |
Correct |
7 ms |
344 KB |
Output is correct |
| 48 |
Correct |
9 ms |
344 KB |
Output is correct |
| 49 |
Correct |
7 ms |
344 KB |
Output is correct |
| 50 |
Correct |
5 ms |
344 KB |
Output is correct |
| 51 |
Correct |
7 ms |
344 KB |
Output is correct |
| 52 |
Correct |
9 ms |
344 KB |
Output is correct |
| 53 |
Correct |
6 ms |
600 KB |
Output is correct |
| 54 |
Correct |
5 ms |
344 KB |
Output is correct |
| 55 |
Correct |
7 ms |
344 KB |
Output is correct |
| 56 |
Correct |
6 ms |
440 KB |
Output is correct |
| 57 |
Correct |
6 ms |
344 KB |
Output is correct |
| 58 |
Correct |
6 ms |
344 KB |
Output is correct |
| 59 |
Correct |
7 ms |
436 KB |
Output is correct |
| 60 |
Correct |
6 ms |
600 KB |
Output is correct |
| 61 |
Correct |
7 ms |
344 KB |
Output is correct |
| 62 |
Correct |
7 ms |
436 KB |
Output is correct |
| 63 |
Correct |
8 ms |
700 KB |
Output is correct |
| 64 |
Correct |
6 ms |
600 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
10 ms |
344 KB |
Output is correct |
| 2 |
Correct |
7 ms |
344 KB |
Output is correct |
| 3 |
Correct |
5 ms |
344 KB |
Output is correct |
| 4 |
Correct |
8 ms |
344 KB |
Output is correct |
| 5 |
Correct |
5 ms |
344 KB |
Output is correct |
| 6 |
Correct |
13 ms |
344 KB |
Output is correct |
| 7 |
Correct |
7 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 |
4 ms |
344 KB |
Output is correct |
| 11 |
Correct |
8 ms |
344 KB |
Output is correct |
| 12 |
Correct |
5 ms |
344 KB |
Output is correct |
| 13 |
Correct |
5 ms |
440 KB |
Output is correct |
| 14 |
Correct |
6 ms |
344 KB |
Output is correct |
| 15 |
Correct |
7 ms |
344 KB |
Output is correct |
| 16 |
Correct |
7 ms |
344 KB |
Output is correct |
| 17 |
Correct |
7 ms |
344 KB |
Output is correct |
| 18 |
Correct |
6 ms |
344 KB |
Output is correct |
| 19 |
Correct |
7 ms |
344 KB |
Output is correct |
| 20 |
Correct |
8 ms |
344 KB |
Output is correct |
| 21 |
Correct |
6 ms |
344 KB |
Output is correct |
| 22 |
Correct |
5 ms |
344 KB |
Output is correct |
| 23 |
Correct |
7 ms |
344 KB |
Output is correct |
| 24 |
Correct |
8 ms |
344 KB |
Output is correct |
| 25 |
Correct |
6 ms |
344 KB |
Output is correct |
| 26 |
Correct |
5 ms |
344 KB |
Output is correct |
| 27 |
Correct |
5 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 |
5 ms |
344 KB |
Output is correct |
| 31 |
Correct |
6 ms |
436 KB |
Output is correct |
| 32 |
Correct |
11 ms |
344 KB |
Output is correct |
| 33 |
Correct |
10 ms |
344 KB |
Output is correct |
| 34 |
Correct |
8 ms |
344 KB |
Output is correct |
| 35 |
Correct |
8 ms |
344 KB |
Output is correct |
| 36 |
Correct |
8 ms |
344 KB |
Output is correct |
| 37 |
Correct |
4 ms |
344 KB |
Output is correct |
| 38 |
Correct |
8 ms |
344 KB |
Output is correct |
| 39 |
Correct |
7 ms |
344 KB |
Output is correct |
| 40 |
Correct |
6 ms |
344 KB |
Output is correct |
| 41 |
Correct |
6 ms |
444 KB |
Output is correct |
| 42 |
Correct |
6 ms |
344 KB |
Output is correct |
| 43 |
Correct |
6 ms |
356 KB |
Output is correct |
| 44 |
Correct |
5 ms |
344 KB |
Output is correct |
| 45 |
Correct |
7 ms |
600 KB |
Output is correct |
| 46 |
Correct |
6 ms |
344 KB |
Output is correct |
| 47 |
Correct |
7 ms |
344 KB |
Output is correct |
| 48 |
Correct |
6 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 |
Correct |
7 ms |
344 KB |
Output is correct |
| 52 |
Correct |
4 ms |
344 KB |
Output is correct |
| 53 |
Correct |
7 ms |
596 KB |
Output is correct |
| 54 |
Correct |
6 ms |
344 KB |
Output is correct |
| 55 |
Correct |
7 ms |
344 KB |
Output is correct |
| 56 |
Correct |
5 ms |
344 KB |
Output is correct |
| 57 |
Correct |
4 ms |
344 KB |
Output is correct |
| 58 |
Correct |
9 ms |
344 KB |
Output is correct |
| 59 |
Correct |
7 ms |
344 KB |
Output is correct |
| 60 |
Correct |
8 ms |
344 KB |
Output is correct |
| 61 |
Correct |
7 ms |
344 KB |
Output is correct |
| 62 |
Correct |
8 ms |
448 KB |
Output is correct |
| 63 |
Correct |
7 ms |
344 KB |
Output is correct |
| 64 |
Correct |
6 ms |
452 KB |
Output is correct |
| 65 |
Correct |
7 ms |
344 KB |
Output is correct |
| 66 |
Correct |
7 ms |
600 KB |
Output is correct |
| 67 |
Correct |
5 ms |
344 KB |
Output is correct |
| 68 |
Correct |
7 ms |
344 KB |
Output is correct |
| 69 |
Correct |
7 ms |
344 KB |
Output is correct |
| 70 |
Correct |
7 ms |
608 KB |
Output is correct |
| 71 |
Correct |
8 ms |
344 KB |
Output is correct |
| 72 |
Correct |
6 ms |
600 KB |
Output is correct |
| 73 |
Correct |
7 ms |
604 KB |
Output is correct |
| 74 |
Correct |
7 ms |
436 KB |
Output is correct |
| 75 |
Correct |
6 ms |
600 KB |
Output is correct |
| 76 |
Correct |
7 ms |
596 KB |
Output is correct |
| 77 |
Correct |
6 ms |
344 KB |
Output is correct |
| 78 |
Correct |
6 ms |
448 KB |
Output is correct |
| 79 |
Correct |
6 ms |
448 KB |
Output is correct |
| 80 |
Correct |
8 ms |
344 KB |
Output is correct |
| 81 |
Correct |
7 ms |
344 KB |
Output is correct |
| 82 |
Correct |
9 ms |
436 KB |
Output is correct |
