#include "railroad.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
ll INF = 1e9;
vector<vector<ll>> adjlist;
vector<ll> comind;
vector<bool> visited;
void dfs(ll ind, ll com){
//cout<<ind<<' '<<com<<'\n';
visited[ind]=true;
comind[ind]=com;
for (ll i : adjlist[ind]){
if (!visited[i]){
dfs(i,com);
}
}
}
struct UFDS{
vector<ll> parent;
ll n;
UFDS(ll _n){
n=_n;
parent.resize(n);
for (ll i = 0; i<n; i++){
parent[i]=i;
}
}
ll root(ll x){
if (x==parent[x]){return x;}
return parent[x]=root(parent[x]);
}
void connect(ll a, ll b){
ll ra = root(a);
ll rb = root(b);
if (ra!=rb){
parent[ra]=rb;
}
}
bool connected(ll a, ll b){
return root(a)==root(b);
}
};
long long plan_roller_coaster(std::vector<int> s, std::vector<int> t) {
vector<ll> ind2coord;
for (ll i : s){
ind2coord.push_back(i);
}
for (ll i : t){
ind2coord.push_back(i);
}
ind2coord.push_back(INF);
ind2coord.push_back(1);
sort(ind2coord.begin(),ind2coord.end());
ind2coord.erase(unique(ind2coord.begin(),ind2coord.end()),ind2coord.end());
s.push_back(INF);
t.push_back(1);
ll n = ind2coord.size();
for (ll i = 0; i<s.size(); i++){
s[i]=lower_bound(ind2coord.begin(),ind2coord.end(),s[i])-ind2coord.begin();
t[i]=lower_bound(ind2coord.begin(),ind2coord.end(),t[i])-ind2coord.begin();
}
//start at 1, end at 1
ll ans = 0;
vector<ll> edgedelta(n);
for (ll i = 0; i<s.size(); i++){
edgedelta[s[i]]++;
edgedelta[t[i]]--;
}
ll curdelta = 0;
for (ll i = 0; i<n-1; i++){
curdelta+=edgedelta[i];
if (curdelta<0){
//need to go ltr / speed up (fine)
s.push_back(i);
t.push_back(i+1);
}
if (curdelta>0){
//need to go rtl / slow down (not fine)
ans+=curdelta*(ind2coord[i+1]-ind2coord[i]);
s.push_back(i+1);
t.push_back(i);
}
}
//make connected components
adjlist.resize(n);
visited.resize(n);
comind.resize(n);
for (ll i = 0; i<s.size(); i++){
adjlist[s[i]].push_back(t[i]);
}
ll cptr = 0;
for (ll i = 0; i<n; i++){
if (!visited[i]){
dfs(i,cptr);
cptr++;
}
}
vector<pair<ll,pair<ll,ll>>> edges;
for (ll i = 0; i<n-1; i++){
if (comind[i]!=comind[i+1]){
edges.push_back({ind2coord[i+1]-ind2coord[i],{comind[i],comind[i+1]}});
}
}
sort(edges.begin(), edges.end());
UFDS u(n);
for (auto e : edges){
// are these connected?
if (u.connected(e.second.first, e.second.second)){
continue;
}
ans+=e.first;
u.connect(e.second.first, e.second.second);
}
return ans;
}
Compilation message
railroad.cpp: In function 'long long int plan_roller_coaster(std::vector<int>, std::vector<int>)':
railroad.cpp:68:21: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
68 | for (ll i = 0; i<s.size(); i++){
| ~^~~~~~~~~
railroad.cpp:77:21: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
77 | for (ll i = 0; i<s.size(); i++){
| ~^~~~~~~~~
railroad.cpp:101:21: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
101 | for (ll i = 0; i<s.size(); i++){
| ~^~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
256 KB |
n = 2 |
2 |
Correct |
0 ms |
256 KB |
n = 2 |
3 |
Correct |
0 ms |
256 KB |
n = 2 |
4 |
Correct |
0 ms |
256 KB |
n = 2 |
5 |
Correct |
0 ms |
256 KB |
n = 2 |
6 |
Correct |
0 ms |
256 KB |
n = 2 |
7 |
Correct |
0 ms |
256 KB |
n = 3 |
8 |
Correct |
1 ms |
256 KB |
n = 3 |
9 |
Correct |
1 ms |
256 KB |
n = 3 |
10 |
Correct |
0 ms |
256 KB |
n = 8 |
11 |
Correct |
0 ms |
256 KB |
n = 8 |
12 |
Correct |
0 ms |
256 KB |
n = 8 |
13 |
Correct |
0 ms |
384 KB |
n = 8 |
14 |
Correct |
0 ms |
256 KB |
n = 8 |
15 |
Correct |
0 ms |
256 KB |
n = 8 |
16 |
Correct |
0 ms |
256 KB |
n = 8 |
17 |
Correct |
1 ms |
256 KB |
n = 8 |
18 |
Correct |
0 ms |
256 KB |
n = 8 |
19 |
Correct |
0 ms |
256 KB |
n = 3 |
20 |
Correct |
1 ms |
256 KB |
n = 7 |
21 |
Correct |
1 ms |
256 KB |
n = 8 |
22 |
Correct |
1 ms |
256 KB |
n = 8 |
23 |
Correct |
1 ms |
384 KB |
n = 8 |
24 |
Correct |
1 ms |
256 KB |
n = 8 |
25 |
Correct |
0 ms |
256 KB |
n = 8 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
256 KB |
n = 2 |
2 |
Correct |
0 ms |
256 KB |
n = 2 |
3 |
Correct |
0 ms |
256 KB |
n = 2 |
4 |
Correct |
0 ms |
256 KB |
n = 2 |
5 |
Correct |
0 ms |
256 KB |
n = 2 |
6 |
Correct |
0 ms |
256 KB |
n = 2 |
7 |
Correct |
0 ms |
256 KB |
n = 3 |
8 |
Correct |
1 ms |
256 KB |
n = 3 |
9 |
Correct |
1 ms |
256 KB |
n = 3 |
10 |
Correct |
0 ms |
256 KB |
n = 8 |
11 |
Correct |
0 ms |
256 KB |
n = 8 |
12 |
Correct |
0 ms |
256 KB |
n = 8 |
13 |
Correct |
0 ms |
384 KB |
n = 8 |
14 |
Correct |
0 ms |
256 KB |
n = 8 |
15 |
Correct |
0 ms |
256 KB |
n = 8 |
16 |
Correct |
0 ms |
256 KB |
n = 8 |
17 |
Correct |
1 ms |
256 KB |
n = 8 |
18 |
Correct |
0 ms |
256 KB |
n = 8 |
19 |
Correct |
0 ms |
256 KB |
n = 3 |
20 |
Correct |
1 ms |
256 KB |
n = 7 |
21 |
Correct |
1 ms |
256 KB |
n = 8 |
22 |
Correct |
1 ms |
256 KB |
n = 8 |
23 |
Correct |
1 ms |
384 KB |
n = 8 |
24 |
Correct |
1 ms |
256 KB |
n = 8 |
25 |
Correct |
0 ms |
256 KB |
n = 8 |
26 |
Correct |
0 ms |
256 KB |
n = 8 |
27 |
Correct |
0 ms |
256 KB |
n = 8 |
28 |
Correct |
1 ms |
256 KB |
n = 8 |
29 |
Correct |
0 ms |
384 KB |
n = 16 |
30 |
Correct |
1 ms |
256 KB |
n = 16 |
31 |
Correct |
0 ms |
256 KB |
n = 16 |
32 |
Correct |
1 ms |
256 KB |
n = 16 |
33 |
Correct |
0 ms |
256 KB |
n = 16 |
34 |
Correct |
0 ms |
384 KB |
n = 16 |
35 |
Correct |
0 ms |
256 KB |
n = 16 |
36 |
Correct |
0 ms |
256 KB |
n = 15 |
37 |
Correct |
1 ms |
256 KB |
n = 8 |
38 |
Correct |
0 ms |
256 KB |
n = 16 |
39 |
Correct |
1 ms |
256 KB |
n = 16 |
40 |
Correct |
1 ms |
256 KB |
n = 9 |
41 |
Correct |
0 ms |
256 KB |
n = 16 |
42 |
Correct |
1 ms |
256 KB |
n = 16 |
43 |
Correct |
1 ms |
256 KB |
n = 16 |
44 |
Correct |
1 ms |
256 KB |
n = 9 |
45 |
Correct |
0 ms |
256 KB |
n = 15 |
46 |
Correct |
0 ms |
256 KB |
n = 16 |
47 |
Correct |
0 ms |
256 KB |
n = 16 |
48 |
Correct |
1 ms |
256 KB |
n = 16 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
335 ms |
59964 KB |
n = 199999 |
2 |
Correct |
354 ms |
49160 KB |
n = 199991 |
3 |
Correct |
305 ms |
59196 KB |
n = 199993 |
4 |
Correct |
230 ms |
36956 KB |
n = 152076 |
5 |
Correct |
141 ms |
23012 KB |
n = 93249 |
6 |
Correct |
277 ms |
40024 KB |
n = 199910 |
7 |
Correct |
285 ms |
49364 KB |
n = 199999 |
8 |
Correct |
274 ms |
42944 KB |
n = 199997 |
9 |
Correct |
274 ms |
42012 KB |
n = 171294 |
10 |
Correct |
226 ms |
34180 KB |
n = 140872 |
11 |
Correct |
282 ms |
40508 KB |
n = 199886 |
12 |
Correct |
295 ms |
49212 KB |
n = 199996 |
13 |
Correct |
284 ms |
44220 KB |
n = 200000 |
14 |
Correct |
315 ms |
55000 KB |
n = 199998 |
15 |
Correct |
326 ms |
51492 KB |
n = 200000 |
16 |
Correct |
309 ms |
52284 KB |
n = 199998 |
17 |
Correct |
305 ms |
50492 KB |
n = 200000 |
18 |
Correct |
270 ms |
48652 KB |
n = 190000 |
19 |
Correct |
258 ms |
53228 KB |
n = 177777 |
20 |
Correct |
146 ms |
24536 KB |
n = 100000 |
21 |
Correct |
324 ms |
49092 KB |
n = 200000 |
22 |
Correct |
325 ms |
45784 KB |
n = 200000 |
23 |
Correct |
329 ms |
58304 KB |
n = 200000 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
256 KB |
n = 2 |
2 |
Correct |
0 ms |
256 KB |
n = 2 |
3 |
Correct |
0 ms |
256 KB |
n = 2 |
4 |
Correct |
0 ms |
256 KB |
n = 2 |
5 |
Correct |
0 ms |
256 KB |
n = 2 |
6 |
Correct |
0 ms |
256 KB |
n = 2 |
7 |
Correct |
0 ms |
256 KB |
n = 3 |
8 |
Correct |
1 ms |
256 KB |
n = 3 |
9 |
Correct |
1 ms |
256 KB |
n = 3 |
10 |
Correct |
0 ms |
256 KB |
n = 8 |
11 |
Correct |
0 ms |
256 KB |
n = 8 |
12 |
Correct |
0 ms |
256 KB |
n = 8 |
13 |
Correct |
0 ms |
384 KB |
n = 8 |
14 |
Correct |
0 ms |
256 KB |
n = 8 |
15 |
Correct |
0 ms |
256 KB |
n = 8 |
16 |
Correct |
0 ms |
256 KB |
n = 8 |
17 |
Correct |
1 ms |
256 KB |
n = 8 |
18 |
Correct |
0 ms |
256 KB |
n = 8 |
19 |
Correct |
0 ms |
256 KB |
n = 3 |
20 |
Correct |
1 ms |
256 KB |
n = 7 |
21 |
Correct |
1 ms |
256 KB |
n = 8 |
22 |
Correct |
1 ms |
256 KB |
n = 8 |
23 |
Correct |
1 ms |
384 KB |
n = 8 |
24 |
Correct |
1 ms |
256 KB |
n = 8 |
25 |
Correct |
0 ms |
256 KB |
n = 8 |
26 |
Correct |
0 ms |
256 KB |
n = 8 |
27 |
Correct |
0 ms |
256 KB |
n = 8 |
28 |
Correct |
1 ms |
256 KB |
n = 8 |
29 |
Correct |
0 ms |
384 KB |
n = 16 |
30 |
Correct |
1 ms |
256 KB |
n = 16 |
31 |
Correct |
0 ms |
256 KB |
n = 16 |
32 |
Correct |
1 ms |
256 KB |
n = 16 |
33 |
Correct |
0 ms |
256 KB |
n = 16 |
34 |
Correct |
0 ms |
384 KB |
n = 16 |
35 |
Correct |
0 ms |
256 KB |
n = 16 |
36 |
Correct |
0 ms |
256 KB |
n = 15 |
37 |
Correct |
1 ms |
256 KB |
n = 8 |
38 |
Correct |
0 ms |
256 KB |
n = 16 |
39 |
Correct |
1 ms |
256 KB |
n = 16 |
40 |
Correct |
1 ms |
256 KB |
n = 9 |
41 |
Correct |
0 ms |
256 KB |
n = 16 |
42 |
Correct |
1 ms |
256 KB |
n = 16 |
43 |
Correct |
1 ms |
256 KB |
n = 16 |
44 |
Correct |
1 ms |
256 KB |
n = 9 |
45 |
Correct |
0 ms |
256 KB |
n = 15 |
46 |
Correct |
0 ms |
256 KB |
n = 16 |
47 |
Correct |
0 ms |
256 KB |
n = 16 |
48 |
Correct |
1 ms |
256 KB |
n = 16 |
49 |
Correct |
335 ms |
59964 KB |
n = 199999 |
50 |
Correct |
354 ms |
49160 KB |
n = 199991 |
51 |
Correct |
305 ms |
59196 KB |
n = 199993 |
52 |
Correct |
230 ms |
36956 KB |
n = 152076 |
53 |
Correct |
141 ms |
23012 KB |
n = 93249 |
54 |
Correct |
277 ms |
40024 KB |
n = 199910 |
55 |
Correct |
285 ms |
49364 KB |
n = 199999 |
56 |
Correct |
274 ms |
42944 KB |
n = 199997 |
57 |
Correct |
274 ms |
42012 KB |
n = 171294 |
58 |
Correct |
226 ms |
34180 KB |
n = 140872 |
59 |
Correct |
282 ms |
40508 KB |
n = 199886 |
60 |
Correct |
295 ms |
49212 KB |
n = 199996 |
61 |
Correct |
284 ms |
44220 KB |
n = 200000 |
62 |
Correct |
315 ms |
55000 KB |
n = 199998 |
63 |
Correct |
326 ms |
51492 KB |
n = 200000 |
64 |
Correct |
309 ms |
52284 KB |
n = 199998 |
65 |
Correct |
305 ms |
50492 KB |
n = 200000 |
66 |
Correct |
270 ms |
48652 KB |
n = 190000 |
67 |
Correct |
258 ms |
53228 KB |
n = 177777 |
68 |
Correct |
146 ms |
24536 KB |
n = 100000 |
69 |
Correct |
324 ms |
49092 KB |
n = 200000 |
70 |
Correct |
325 ms |
45784 KB |
n = 200000 |
71 |
Correct |
329 ms |
58304 KB |
n = 200000 |
72 |
Correct |
302 ms |
63804 KB |
n = 200000 |
73 |
Correct |
355 ms |
53032 KB |
n = 200000 |
74 |
Correct |
306 ms |
61244 KB |
n = 200000 |
75 |
Correct |
296 ms |
63804 KB |
n = 200000 |
76 |
Correct |
292 ms |
63836 KB |
n = 200000 |
77 |
Correct |
280 ms |
37052 KB |
n = 200000 |
78 |
Correct |
246 ms |
33856 KB |
n = 200000 |
79 |
Correct |
296 ms |
46524 KB |
n = 184307 |
80 |
Correct |
107 ms |
20484 KB |
n = 76040 |
81 |
Correct |
286 ms |
43196 KB |
n = 199981 |
82 |
Correct |
309 ms |
52412 KB |
n = 199994 |
83 |
Correct |
283 ms |
47180 KB |
n = 199996 |
84 |
Correct |
292 ms |
58044 KB |
n = 199998 |
85 |
Correct |
272 ms |
54460 KB |
n = 200000 |
86 |
Correct |
295 ms |
55584 KB |
n = 199998 |
87 |
Correct |
282 ms |
54460 KB |
n = 200000 |
88 |
Correct |
310 ms |
54948 KB |
n = 200000 |
89 |
Correct |
281 ms |
63740 KB |
n = 200000 |
90 |
Correct |
336 ms |
53180 KB |
n = 200000 |
91 |
Correct |
326 ms |
49472 KB |
n = 200000 |
92 |
Correct |
322 ms |
62272 KB |
n = 200000 |