#include<bits/stdc++.h>
using namespace std;
using LL=long long;
#define FOR(i,l,r)for(int i=(l);i<=(r);++i)
#define REP(i,n)FOR(i,0,(n)-1)
#define ssize(x)int(x.size())
#ifdef DEBUG
auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";}
auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";}
#define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X)
#else
#define debug(...){}
#endif
LL plan_roller_coaster(vector<int> s, vector<int> t) {
int n = ssize(s);
map<int, int> imp;
vector<pair<int, int>> edges;
REP (i, n) {
++imp[s[i]];
--imp[t[i]];
edges.emplace_back(s[i], t[i]);
debug(s[i], t[i]);
}
const int INF = 1e9;
--imp[1];
++imp[INF];
edges.emplace_back(INF, 1);
debug(imp);
vector<pair<int, int>> stc;
int sum = 0;
LL answer = 0;
for (auto [speed, delta] : imp) {
debug(speed, delta, sum, stc);
if (sum > 0 && delta < 0) {
while (ssize(stc) && delta) {
auto [beg, cnt] = stc.back();
stc.pop_back();
edges.emplace_back(speed, beg);
answer += speed - beg;
--cnt;
++delta;
--sum;
if (cnt)
stc.emplace_back(beg, cnt);
}
}
else if (sum < 0 && delta > 0) {
while (ssize(stc) && delta) {
auto [beg, cnt] = stc.back();
stc.pop_back();
edges.emplace_back(beg, speed);
--cnt;
--delta;
++sum;
if (cnt)
stc.emplace_back(beg, cnt);
}
}
debug("again", speed, delta, sum, stc);
if (delta) {
stc.emplace_back(speed, abs(delta));
sum += delta;
}
else if (ssize(stc) && stc.back().first != speed) {
debug("special");
auto [beg, cnt] = stc.back();
stc.pop_back();
if (sum > 0) {
edges.emplace_back(speed, beg);
answer += speed - beg;
}
else {
edges.emplace_back(beg, speed);
}
--cnt;
if (cnt)
stc.emplace_back(beg, cnt);
stc.emplace_back(speed, 1);
}
}
assert(sum == 0);
debug(edges);
debug(answer);
map<int, int> color;
map<int, vector<int>> graph;
for (auto [u, v] : edges)
graph[u].emplace_back(v);
int m = 0;
for (const auto &[i, adj] : graph) {
if (!color.count(i)) {
function<void(int)> dfs = [&](int v) {
color[v] = m;
for (int u : graph[v])
if (!color.count(u))
dfs(u);
};
dfs(i);
++m;
}
}
debug(color);
vector<int> rep(m);
iota(rep.begin(), rep.end(), 0);
function<int(int)> fin = [&](int v) {
if (v != rep[v])
rep[v] = fin(rep[v]);
return rep[v];
};
auto uni = [&](int a, int b) {
a = fin(a);
b = fin(b);
if (a == b)
return false;
rep[b] = a;
return true;
};
int last = 1;
vector<tuple<int, int, int>> sr;
for (auto [pos, type] : color) {
if (color[last] != type) {
sr.emplace_back(pos - last, color[last], type);
}
last = pos;
}
sort(sr.begin(), sr.end());
for (auto [cost, a, b] : sr) {
debug(cost, a, b);
if (uni(a, b))
answer += cost;
}
return answer;
}
#ifdef LOCAL
int main() {
cin.tie(0)->sync_with_stdio(0);
int n;
cin >> n;
vector<int> s(n), t(n);
REP (i, n)
cin >> s[i] >> t[i];
cout << plan_roller_coaster(s, t) << endl;
}
#endif
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
n = 2 |
2 |
Correct |
1 ms |
348 KB |
n = 2 |
3 |
Correct |
1 ms |
348 KB |
n = 2 |
4 |
Correct |
1 ms |
344 KB |
n = 2 |
5 |
Correct |
1 ms |
348 KB |
n = 2 |
6 |
Correct |
0 ms |
432 KB |
n = 2 |
7 |
Correct |
1 ms |
348 KB |
n = 3 |
8 |
Correct |
0 ms |
360 KB |
n = 3 |
9 |
Correct |
1 ms |
344 KB |
n = 3 |
10 |
Correct |
1 ms |
344 KB |
n = 8 |
11 |
Correct |
0 ms |
348 KB |
n = 8 |
12 |
Correct |
1 ms |
348 KB |
n = 8 |
13 |
Correct |
1 ms |
348 KB |
n = 8 |
14 |
Correct |
0 ms |
348 KB |
n = 8 |
15 |
Correct |
1 ms |
344 KB |
n = 8 |
16 |
Correct |
1 ms |
348 KB |
n = 8 |
17 |
Correct |
1 ms |
348 KB |
n = 8 |
18 |
Correct |
1 ms |
348 KB |
n = 8 |
19 |
Correct |
1 ms |
500 KB |
n = 3 |
20 |
Correct |
1 ms |
348 KB |
n = 7 |
21 |
Correct |
1 ms |
348 KB |
n = 8 |
22 |
Correct |
1 ms |
592 KB |
n = 8 |
23 |
Correct |
1 ms |
344 KB |
n = 8 |
24 |
Correct |
0 ms |
348 KB |
n = 8 |
25 |
Correct |
1 ms |
344 KB |
n = 8 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
n = 2 |
2 |
Correct |
1 ms |
348 KB |
n = 2 |
3 |
Correct |
1 ms |
348 KB |
n = 2 |
4 |
Correct |
1 ms |
344 KB |
n = 2 |
5 |
Correct |
1 ms |
348 KB |
n = 2 |
6 |
Correct |
0 ms |
432 KB |
n = 2 |
7 |
Correct |
1 ms |
348 KB |
n = 3 |
8 |
Correct |
0 ms |
360 KB |
n = 3 |
9 |
Correct |
1 ms |
344 KB |
n = 3 |
10 |
Correct |
1 ms |
344 KB |
n = 8 |
11 |
Correct |
0 ms |
348 KB |
n = 8 |
12 |
Correct |
1 ms |
348 KB |
n = 8 |
13 |
Correct |
1 ms |
348 KB |
n = 8 |
14 |
Correct |
0 ms |
348 KB |
n = 8 |
15 |
Correct |
1 ms |
344 KB |
n = 8 |
16 |
Correct |
1 ms |
348 KB |
n = 8 |
17 |
Correct |
1 ms |
348 KB |
n = 8 |
18 |
Correct |
1 ms |
348 KB |
n = 8 |
19 |
Correct |
1 ms |
500 KB |
n = 3 |
20 |
Correct |
1 ms |
348 KB |
n = 7 |
21 |
Correct |
1 ms |
348 KB |
n = 8 |
22 |
Correct |
1 ms |
592 KB |
n = 8 |
23 |
Correct |
1 ms |
344 KB |
n = 8 |
24 |
Correct |
0 ms |
348 KB |
n = 8 |
25 |
Correct |
1 ms |
344 KB |
n = 8 |
26 |
Correct |
1 ms |
348 KB |
n = 8 |
27 |
Correct |
1 ms |
348 KB |
n = 8 |
28 |
Correct |
1 ms |
348 KB |
n = 8 |
29 |
Correct |
1 ms |
348 KB |
n = 16 |
30 |
Correct |
1 ms |
348 KB |
n = 16 |
31 |
Correct |
1 ms |
348 KB |
n = 16 |
32 |
Correct |
1 ms |
344 KB |
n = 16 |
33 |
Correct |
1 ms |
344 KB |
n = 16 |
34 |
Correct |
0 ms |
348 KB |
n = 16 |
35 |
Correct |
0 ms |
348 KB |
n = 16 |
36 |
Correct |
1 ms |
348 KB |
n = 15 |
37 |
Correct |
1 ms |
348 KB |
n = 8 |
38 |
Correct |
1 ms |
344 KB |
n = 16 |
39 |
Correct |
0 ms |
348 KB |
n = 16 |
40 |
Correct |
1 ms |
348 KB |
n = 9 |
41 |
Correct |
1 ms |
348 KB |
n = 16 |
42 |
Correct |
1 ms |
344 KB |
n = 16 |
43 |
Correct |
1 ms |
348 KB |
n = 16 |
44 |
Correct |
0 ms |
348 KB |
n = 9 |
45 |
Correct |
1 ms |
600 KB |
n = 15 |
46 |
Correct |
1 ms |
348 KB |
n = 16 |
47 |
Correct |
0 ms |
348 KB |
n = 16 |
48 |
Correct |
1 ms |
348 KB |
n = 16 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1822 ms |
110304 KB |
n = 199999 |
2 |
Correct |
1564 ms |
108280 KB |
n = 199991 |
3 |
Correct |
1338 ms |
107068 KB |
n = 199993 |
4 |
Correct |
1317 ms |
84968 KB |
n = 152076 |
5 |
Correct |
537 ms |
53336 KB |
n = 93249 |
6 |
Correct |
792 ms |
82128 KB |
n = 199910 |
7 |
Correct |
927 ms |
100420 KB |
n = 199999 |
8 |
Correct |
718 ms |
85996 KB |
n = 199997 |
9 |
Correct |
1146 ms |
87752 KB |
n = 171294 |
10 |
Correct |
1071 ms |
79188 KB |
n = 140872 |
11 |
Correct |
798 ms |
84672 KB |
n = 199886 |
12 |
Correct |
936 ms |
104256 KB |
n = 199996 |
13 |
Correct |
841 ms |
93084 KB |
n = 200000 |
14 |
Correct |
871 ms |
110240 KB |
n = 199998 |
15 |
Correct |
791 ms |
104844 KB |
n = 200000 |
16 |
Correct |
803 ms |
107352 KB |
n = 199998 |
17 |
Correct |
1055 ms |
111140 KB |
n = 200000 |
18 |
Correct |
940 ms |
89756 KB |
n = 190000 |
19 |
Correct |
969 ms |
92308 KB |
n = 177777 |
20 |
Correct |
465 ms |
54672 KB |
n = 100000 |
21 |
Correct |
1231 ms |
108392 KB |
n = 200000 |
22 |
Correct |
1032 ms |
97908 KB |
n = 200000 |
23 |
Correct |
1506 ms |
123420 KB |
n = 200000 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
n = 2 |
2 |
Correct |
1 ms |
348 KB |
n = 2 |
3 |
Correct |
1 ms |
348 KB |
n = 2 |
4 |
Correct |
1 ms |
344 KB |
n = 2 |
5 |
Correct |
1 ms |
348 KB |
n = 2 |
6 |
Correct |
0 ms |
432 KB |
n = 2 |
7 |
Correct |
1 ms |
348 KB |
n = 3 |
8 |
Correct |
0 ms |
360 KB |
n = 3 |
9 |
Correct |
1 ms |
344 KB |
n = 3 |
10 |
Correct |
1 ms |
344 KB |
n = 8 |
11 |
Correct |
0 ms |
348 KB |
n = 8 |
12 |
Correct |
1 ms |
348 KB |
n = 8 |
13 |
Correct |
1 ms |
348 KB |
n = 8 |
14 |
Correct |
0 ms |
348 KB |
n = 8 |
15 |
Correct |
1 ms |
344 KB |
n = 8 |
16 |
Correct |
1 ms |
348 KB |
n = 8 |
17 |
Correct |
1 ms |
348 KB |
n = 8 |
18 |
Correct |
1 ms |
348 KB |
n = 8 |
19 |
Correct |
1 ms |
500 KB |
n = 3 |
20 |
Correct |
1 ms |
348 KB |
n = 7 |
21 |
Correct |
1 ms |
348 KB |
n = 8 |
22 |
Correct |
1 ms |
592 KB |
n = 8 |
23 |
Correct |
1 ms |
344 KB |
n = 8 |
24 |
Correct |
0 ms |
348 KB |
n = 8 |
25 |
Correct |
1 ms |
344 KB |
n = 8 |
26 |
Correct |
1 ms |
348 KB |
n = 8 |
27 |
Correct |
1 ms |
348 KB |
n = 8 |
28 |
Correct |
1 ms |
348 KB |
n = 8 |
29 |
Correct |
1 ms |
348 KB |
n = 16 |
30 |
Correct |
1 ms |
348 KB |
n = 16 |
31 |
Correct |
1 ms |
348 KB |
n = 16 |
32 |
Correct |
1 ms |
344 KB |
n = 16 |
33 |
Correct |
1 ms |
344 KB |
n = 16 |
34 |
Correct |
0 ms |
348 KB |
n = 16 |
35 |
Correct |
0 ms |
348 KB |
n = 16 |
36 |
Correct |
1 ms |
348 KB |
n = 15 |
37 |
Correct |
1 ms |
348 KB |
n = 8 |
38 |
Correct |
1 ms |
344 KB |
n = 16 |
39 |
Correct |
0 ms |
348 KB |
n = 16 |
40 |
Correct |
1 ms |
348 KB |
n = 9 |
41 |
Correct |
1 ms |
348 KB |
n = 16 |
42 |
Correct |
1 ms |
344 KB |
n = 16 |
43 |
Correct |
1 ms |
348 KB |
n = 16 |
44 |
Correct |
0 ms |
348 KB |
n = 9 |
45 |
Correct |
1 ms |
600 KB |
n = 15 |
46 |
Correct |
1 ms |
348 KB |
n = 16 |
47 |
Correct |
0 ms |
348 KB |
n = 16 |
48 |
Correct |
1 ms |
348 KB |
n = 16 |
49 |
Correct |
1822 ms |
110304 KB |
n = 199999 |
50 |
Correct |
1564 ms |
108280 KB |
n = 199991 |
51 |
Correct |
1338 ms |
107068 KB |
n = 199993 |
52 |
Correct |
1317 ms |
84968 KB |
n = 152076 |
53 |
Correct |
537 ms |
53336 KB |
n = 93249 |
54 |
Correct |
792 ms |
82128 KB |
n = 199910 |
55 |
Correct |
927 ms |
100420 KB |
n = 199999 |
56 |
Correct |
718 ms |
85996 KB |
n = 199997 |
57 |
Correct |
1146 ms |
87752 KB |
n = 171294 |
58 |
Correct |
1071 ms |
79188 KB |
n = 140872 |
59 |
Correct |
798 ms |
84672 KB |
n = 199886 |
60 |
Correct |
936 ms |
104256 KB |
n = 199996 |
61 |
Correct |
841 ms |
93084 KB |
n = 200000 |
62 |
Correct |
871 ms |
110240 KB |
n = 199998 |
63 |
Correct |
791 ms |
104844 KB |
n = 200000 |
64 |
Correct |
803 ms |
107352 KB |
n = 199998 |
65 |
Correct |
1055 ms |
111140 KB |
n = 200000 |
66 |
Correct |
940 ms |
89756 KB |
n = 190000 |
67 |
Correct |
969 ms |
92308 KB |
n = 177777 |
68 |
Correct |
465 ms |
54672 KB |
n = 100000 |
69 |
Correct |
1231 ms |
108392 KB |
n = 200000 |
70 |
Correct |
1032 ms |
97908 KB |
n = 200000 |
71 |
Correct |
1506 ms |
123420 KB |
n = 200000 |
72 |
Correct |
1934 ms |
114180 KB |
n = 200000 |
73 |
Correct |
1786 ms |
110240 KB |
n = 200000 |
74 |
Correct |
1406 ms |
105468 KB |
n = 200000 |
75 |
Correct |
1126 ms |
112516 KB |
n = 200000 |
76 |
Correct |
1125 ms |
126384 KB |
n = 200000 |
77 |
Correct |
724 ms |
67000 KB |
n = 200000 |
78 |
Correct |
578 ms |
56152 KB |
n = 200000 |
79 |
Correct |
1286 ms |
94952 KB |
n = 184307 |
80 |
Correct |
412 ms |
42436 KB |
n = 76040 |
81 |
Correct |
972 ms |
84396 KB |
n = 199981 |
82 |
Correct |
854 ms |
104912 KB |
n = 199994 |
83 |
Correct |
848 ms |
92184 KB |
n = 199996 |
84 |
Correct |
854 ms |
109712 KB |
n = 199998 |
85 |
Correct |
855 ms |
104940 KB |
n = 200000 |
86 |
Correct |
894 ms |
107340 KB |
n = 199998 |
87 |
Correct |
1111 ms |
111536 KB |
n = 200000 |
88 |
Correct |
1049 ms |
97008 KB |
n = 200000 |
89 |
Correct |
1199 ms |
102836 KB |
n = 200000 |
90 |
Correct |
1368 ms |
106728 KB |
n = 200000 |
91 |
Correct |
1101 ms |
97900 KB |
n = 200000 |
92 |
Correct |
1477 ms |
123584 KB |
n = 200000 |