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답안 #517635

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
517635 2022-01-23T06:33:38 Z pavement Relay Marathon (NOI20_relaymarathon) C++17
100 / 100
 2239 ms 279120 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#ifdef _WIN32
#define getchar_unlocked _getchar_nolock
#endif
#define int long long
#define mp make_pair
#define mt make_tuple
#define pb push_back
#define ppb pop_back
#define eb emplace_back
#define g0(a) get<0>(a)
#define g1(a) get<1>(a)
#define g2(a) get<2>(a)
#define g3(a) get<3>(a)
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
typedef double db;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> ii;
typedef tuple<int, int, int> iii;
typedef tuple<int, int, int, int> iiii;
typedef tree<ii, null_type, less<ii>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;

int N, M, K, ans = 1e16, dist[100005], ddist[100005], st[100005];
bool yes[100005];
iii ed[3000005];
vector<ii> adj[100005];
priority_queue<iii, vector<iii>, greater<iii> > pq2;
priority_queue<ii, vector<ii>, greater<ii> > pq;

pair<int, ii> shortest_pair() {
	int fp = 1e16;
	ii fpp;
	for (int i = 1; i <= N; i++) {
		if (yes[i]) {
			dist[i] = 0;
			st[i] = i;
			pq2.emplace(0, i, i);
		} else {
			dist[i] = 1e16;
			st[i] = -1;
		}
	}
	while (!pq2.empty()) {
		auto [d, u, stt] = pq2.top();
		pq2.pop();
		if (d != dist[u]) continue;
		for (auto v : adj[u])
			if (dist[v.first] > d + v.second) {
				dist[v.first] = d + v.second;
				st[v.first] = stt;
				pq2.emplace(dist[v.first], v.first, stt);
			}
	}
	for (int i = 1, u, v, w; i <= M; i++) {
		tie(u, v, w) = ed[i];
		if (st[u] != -1 && st[u] != st[v] && dist[u] + dist[v] + w < fp) {
			fp = dist[u] + dist[v] + w;
			fpp = mp(st[u], st[v]);
		}
	}
	return mp(fp, fpp);
}

void dijk(int s) {
	for (int i = 1; i <= N; i++)
		if (i == s) ddist[i] = 0;
		else ddist[i] = 1e16;
	pq.emplace(0, s);
	while (!pq.empty()) {
		auto [d, u] = pq.top();
		pq.pop();
		if (d != ddist[u]) continue;
		for (auto v : adj[u])
			if (ddist[v.first] > d + v.second) {
				ddist[v.first] = d + v.second;
				pq.emplace(ddist[v.first], v.first);
			}
	}
}

main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	cin >> N >> M >> K;
	for (int i = 1, u, v, w; i <= M; i++) {
		cin >> u >> v >> w;
		adj[u].eb(v, w);
		adj[v].eb(u, w);
		ed[i] = mt(u, v, w);
	}
	for (int i = 1, x; i <= K; i++) {
		cin >> x;
		yes[x] = 1;
	}
	auto f = shortest_pair();
	yes[f.second.first] = yes[f.second.second] = 0;
	auto s = shortest_pair();
	ans = min(ans, f.first + s.first);
	yes[f.second.first] = yes[f.second.second] = 1;
	dijk(f.second.first);
	for (int i = 1; i <= N; i++)
		if (yes[i] && i != f.second.first && i != f.second.second) s = min(s, mp(ddist[i], mp(f.second.first, i)));
	dijk(f.second.second);
	for (int i = 1; i <= N; i++)
		if (yes[i] && i != f.second.first && i != f.second.second) s = min(s, mp(ddist[i], mp(f.second.second, i)));
	if (f.second.first != s.second.first && f.second.first != s.second.second && f.second.second != s.second.first && f.second.second != s.second.second) ans = min(ans, f.first + s.first);
	else {
		int fff, sss, common;
		yes[s.second.first] = yes[s.second.second] = 0;
		auto ff = shortest_pair();
		ans = min(ans, ff.first + s.first);
		yes[s.second.first] = yes[s.second.second] = 1;
		for (int x : {f.second.first, f.second.second})
			if (x == s.second.first || x == s.second.second) common = x;
		for (int x : {f.second.first, f.second.second})
			if (x != common) fff = x;
		for (int x : {s.second.first, s.second.second})
			if (x != common) sss = x;
		yes[fff] = yes[sss] = 0;
		auto ffff = shortest_pair();
		dijk(fff);
		ans = min(ans, ffff.first + ddist[sss]);
		yes[fff] = yes[sss] = 1;
	}
	cout << ans << '\n';
}

Compilation message

RelayMarathon.cpp:86:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   86 | main() {
      | ^~~~
RelayMarathon.cpp: In function 'int main()':
RelayMarathon.cpp:128:12: warning: 'fff' may be used uninitialized in this function [-Wmaybe-uninitialized]
  128 |   yes[fff] = yes[sss] = 1;
      |   ~~~~~~~~~^~~~~~~~~~~~~~
RelayMarathon.cpp:127:40: warning: 'sss' may be used uninitialized in this function [-Wmaybe-uninitialized]
  127 |   ans = min(ans, ffff.first + ddist[sss]);
      |                               ~~~~~~~~~^
RelayMarathon.cpp:121:4: warning: 'common' may be used uninitialized in this function [-Wmaybe-uninitialized]
  121 |    if (x != common) fff = x;
      |    ^~

Subtask #1
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 2636 KB Output is correct
2 Correct 3 ms 2760 KB Output is correct
3 Correct 2 ms 2636 KB Output is correct
4 Correct 2 ms 2636 KB Output is correct
5 Correct 2 ms 2636 KB Output is correct
6 Correct 2 ms 2636 KB Output is correct
7 Correct 3 ms 2764 KB Output is correct
8 Correct 2 ms 2764 KB Output is correct
9 Correct 2 ms 2636 KB Output is correct
10 Correct 2 ms 2636 KB Output is correct
11 Correct 2 ms 2636 KB Output is correct
12 Correct 2 ms 2636 KB Output is correct
13 Correct 2 ms 2764 KB Output is correct
14 Correct 2 ms 2788 KB Output is correct
15 Correct 2 ms 2764 KB Output is correct
16 Correct 2 ms 2636 KB Output is correct
17 Correct 3 ms 2680 KB Output is correct
18 Correct 2 ms 2636 KB Output is correct
19 Correct 2 ms 2764 KB Output is correct
20 Correct 2 ms 2636 KB Output is correct
21 Correct 2 ms 2764 KB Output is correct
22 Correct 2 ms 2636 KB Output is correct
23 Correct 2 ms 2636 KB Output is correct
24 Correct 2 ms 2636 KB Output is correct
25 Correct 1 ms 2636 KB Output is correct
26 Correct 2 ms 2636 KB Output is correct
27 Correct 2 ms 2636 KB Output is correct
28 Correct 2 ms 2764 KB Output is correct
29 Correct 2 ms 2764 KB Output is correct
30 Correct 2 ms 2764 KB Output is correct

Subtask #2
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 2636 KB Output is correct
2 Correct 3 ms 2760 KB Output is correct
3 Correct 2 ms 2636 KB Output is correct
4 Correct 2 ms 2636 KB Output is correct
5 Correct 2 ms 2636 KB Output is correct
6 Correct 2 ms 2636 KB Output is correct
7 Correct 3 ms 2764 KB Output is correct
8 Correct 2 ms 2764 KB Output is correct
9 Correct 2 ms 2636 KB Output is correct
10 Correct 2 ms 2636 KB Output is correct
11 Correct 2 ms 2636 KB Output is correct
12 Correct 2 ms 2636 KB Output is correct
13 Correct 2 ms 2764 KB Output is correct
14 Correct 2 ms 2788 KB Output is correct
15 Correct 2 ms 2764 KB Output is correct
16 Correct 2 ms 2636 KB Output is correct
17 Correct 3 ms 2680 KB Output is correct
18 Correct 2 ms 2636 KB Output is correct
19 Correct 2 ms 2764 KB Output is correct
20 Correct 2 ms 2636 KB Output is correct
21 Correct 2 ms 2764 KB Output is correct
22 Correct 2 ms 2636 KB Output is correct
23 Correct 2 ms 2636 KB Output is correct
24 Correct 2 ms 2636 KB Output is correct
25 Correct 1 ms 2636 KB Output is correct
26 Correct 2 ms 2636 KB Output is correct
27 Correct 2 ms 2636 KB Output is correct
28 Correct 2 ms 2764 KB Output is correct
29 Correct 2 ms 2764 KB Output is correct
30 Correct 2 ms 2764 KB Output is correct
31 Correct 2 ms 2668 KB Output is correct
32 Correct 2 ms 2764 KB Output is correct
33 Correct 2 ms 2764 KB Output is correct
34 Correct 2 ms 2636 KB Output is correct
35 Correct 2 ms 2636 KB Output is correct
36 Correct 5 ms 3020 KB Output is correct
37 Correct 4 ms 3148 KB Output is correct
38 Correct 2 ms 2764 KB Output is correct
39 Correct 36 ms 9324 KB Output is correct
40 Correct 6 ms 4172 KB Output is correct
41 Correct 3 ms 2820 KB Output is correct
42 Correct 8 ms 4220 KB Output is correct
43 Correct 5 ms 2892 KB Output is correct
44 Correct 2 ms 2764 KB Output is correct
45 Correct 2 ms 2636 KB Output is correct
46 Correct 41 ms 9776 KB Output is correct
47 Correct 10 ms 3844 KB Output is correct
48 Correct 25 ms 10016 KB Output is correct
49 Correct 23 ms 10276 KB Output is correct
50 Correct 3 ms 2768 KB Output is correct
51 Correct 3 ms 2816 KB Output is correct
52 Correct 3 ms 2768 KB Output is correct
53 Correct 19 ms 6704 KB Output is correct
54 Correct 36 ms 10440 KB Output is correct
55 Correct 3 ms 2768 KB Output is correct
56 Correct 2 ms 2640 KB Output is correct
57 Correct 4 ms 2688 KB Output is correct
58 Correct 29 ms 11292 KB Output is correct
59 Correct 3 ms 2640 KB Output is correct
60 Correct 3 ms 2820 KB Output is correct

Subtask #3
25.0 / 25.0

# 결과 실행 시간 메모리 Grader output
1 Correct 85 ms 10628 KB Output is correct
2 Correct 7 ms 5720 KB Output is correct
3 Correct 1967 ms 223084 KB Output is correct
4 Correct 895 ms 98660 KB Output is correct
5 Correct 213 ms 19224 KB Output is correct
6 Correct 193 ms 17936 KB Output is correct
7 Correct 249 ms 24092 KB Output is correct
8 Correct 98 ms 12068 KB Output is correct
9 Correct 159 ms 16796 KB Output is correct
10 Correct 150 ms 13648 KB Output is correct
11 Correct 1850 ms 239792 KB Output is correct
12 Correct 127 ms 14488 KB Output is correct
13 Correct 605 ms 65620 KB Output is correct
14 Correct 303 ms 26008 KB Output is correct
15 Correct 1794 ms 235164 KB Output is correct
16 Correct 58 ms 10780 KB Output is correct
17 Correct 1285 ms 162804 KB Output is correct
18 Correct 6 ms 5884 KB Output is correct
19 Correct 2204 ms 247268 KB Output is correct
20 Correct 265 ms 22656 KB Output is correct
21 Correct 229 ms 20368 KB Output is correct
22 Correct 85 ms 13236 KB Output is correct
23 Correct 35 ms 9144 KB Output is correct
24 Correct 1231 ms 177188 KB Output is correct
25 Correct 174 ms 16956 KB Output is correct
26 Correct 80 ms 11980 KB Output is correct
27 Correct 117 ms 14968 KB Output is correct
28 Correct 17 ms 7312 KB Output is correct
29 Correct 193 ms 23352 KB Output is correct
30 Correct 562 ms 49708 KB Output is correct

Subtask #4
58.0 / 58.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 2636 KB Output is correct
2 Correct 3 ms 2760 KB Output is correct
3 Correct 2 ms 2636 KB Output is correct
4 Correct 2 ms 2636 KB Output is correct
5 Correct 2 ms 2636 KB Output is correct
6 Correct 2 ms 2636 KB Output is correct
7 Correct 3 ms 2764 KB Output is correct
8 Correct 2 ms 2764 KB Output is correct
9 Correct 2 ms 2636 KB Output is correct
10 Correct 2 ms 2636 KB Output is correct
11 Correct 2 ms 2636 KB Output is correct
12 Correct 2 ms 2636 KB Output is correct
13 Correct 2 ms 2764 KB Output is correct
14 Correct 2 ms 2788 KB Output is correct
15 Correct 2 ms 2764 KB Output is correct
16 Correct 2 ms 2636 KB Output is correct
17 Correct 3 ms 2680 KB Output is correct
18 Correct 2 ms 2636 KB Output is correct
19 Correct 2 ms 2764 KB Output is correct
20 Correct 2 ms 2636 KB Output is correct
21 Correct 2 ms 2764 KB Output is correct
22 Correct 2 ms 2636 KB Output is correct
23 Correct 2 ms 2636 KB Output is correct
24 Correct 2 ms 2636 KB Output is correct
25 Correct 1 ms 2636 KB Output is correct
26 Correct 2 ms 2636 KB Output is correct
27 Correct 2 ms 2636 KB Output is correct
28 Correct 2 ms 2764 KB Output is correct
29 Correct 2 ms 2764 KB Output is correct
30 Correct 2 ms 2764 KB Output is correct
31 Correct 2 ms 2668 KB Output is correct
32 Correct 2 ms 2764 KB Output is correct
33 Correct 2 ms 2764 KB Output is correct
34 Correct 2 ms 2636 KB Output is correct
35 Correct 2 ms 2636 KB Output is correct
36 Correct 5 ms 3020 KB Output is correct
37 Correct 4 ms 3148 KB Output is correct
38 Correct 2 ms 2764 KB Output is correct
39 Correct 36 ms 9324 KB Output is correct
40 Correct 6 ms 4172 KB Output is correct
41 Correct 3 ms 2820 KB Output is correct
42 Correct 8 ms 4220 KB Output is correct
43 Correct 5 ms 2892 KB Output is correct
44 Correct 2 ms 2764 KB Output is correct
45 Correct 2 ms 2636 KB Output is correct
46 Correct 41 ms 9776 KB Output is correct
47 Correct 10 ms 3844 KB Output is correct
48 Correct 25 ms 10016 KB Output is correct
49 Correct 23 ms 10276 KB Output is correct
50 Correct 3 ms 2768 KB Output is correct
51 Correct 3 ms 2816 KB Output is correct
52 Correct 3 ms 2768 KB Output is correct
53 Correct 19 ms 6704 KB Output is correct
54 Correct 36 ms 10440 KB Output is correct
55 Correct 3 ms 2768 KB Output is correct
56 Correct 2 ms 2640 KB Output is correct
57 Correct 4 ms 2688 KB Output is correct
58 Correct 29 ms 11292 KB Output is correct
59 Correct 3 ms 2640 KB Output is correct
60 Correct 3 ms 2820 KB Output is correct
61 Correct 85 ms 10628 KB Output is correct
62 Correct 7 ms 5720 KB Output is correct
63 Correct 1967 ms 223084 KB Output is correct
64 Correct 895 ms 98660 KB Output is correct
65 Correct 213 ms 19224 KB Output is correct
66 Correct 193 ms 17936 KB Output is correct
67 Correct 249 ms 24092 KB Output is correct
68 Correct 98 ms 12068 KB Output is correct
69 Correct 159 ms 16796 KB Output is correct
70 Correct 150 ms 13648 KB Output is correct
71 Correct 1850 ms 239792 KB Output is correct
72 Correct 127 ms 14488 KB Output is correct
73 Correct 605 ms 65620 KB Output is correct
74 Correct 303 ms 26008 KB Output is correct
75 Correct 1794 ms 235164 KB Output is correct
76 Correct 58 ms 10780 KB Output is correct
77 Correct 1285 ms 162804 KB Output is correct
78 Correct 6 ms 5884 KB Output is correct
79 Correct 2204 ms 247268 KB Output is correct
80 Correct 265 ms 22656 KB Output is correct
81 Correct 229 ms 20368 KB Output is correct
82 Correct 85 ms 13236 KB Output is correct
83 Correct 35 ms 9144 KB Output is correct
84 Correct 1231 ms 177188 KB Output is correct
85 Correct 174 ms 16956 KB Output is correct
86 Correct 80 ms 11980 KB Output is correct
87 Correct 117 ms 14968 KB Output is correct
88 Correct 17 ms 7312 KB Output is correct
89 Correct 193 ms 23352 KB Output is correct
90 Correct 562 ms 49708 KB Output is correct
91 Correct 300 ms 16856 KB Output is correct
92 Correct 1928 ms 258088 KB Output is correct
93 Correct 362 ms 25960 KB Output is correct
94 Correct 1304 ms 152084 KB Output is correct
95 Correct 7 ms 5908 KB Output is correct
96 Correct 9 ms 6184 KB Output is correct
97 Correct 371 ms 34664 KB Output is correct
98 Correct 210 ms 16556 KB Output is correct
99 Correct 167 ms 17496 KB Output is correct
100 Correct 2188 ms 278364 KB Output is correct
101 Correct 1039 ms 102492 KB Output is correct
102 Correct 884 ms 100888 KB Output is correct
103 Correct 1412 ms 183456 KB Output is correct
104 Correct 1750 ms 219060 KB Output is correct
105 Correct 130 ms 12264 KB Output is correct
106 Correct 1466 ms 187920 KB Output is correct
107 Correct 513 ms 53724 KB Output is correct
108 Correct 284 ms 23388 KB Output is correct
109 Correct 18 ms 8064 KB Output is correct
110 Correct 95 ms 11328 KB Output is correct
111 Correct 398 ms 24200 KB Output is correct
112 Correct 2239 ms 276868 KB Output is correct
113 Correct 2118 ms 279120 KB Output is correct
114 Correct 339 ms 23080 KB Output is correct
115 Correct 860 ms 93700 KB Output is correct
116 Correct 1884 ms 253188 KB Output is correct
117 Correct 1284 ms 179864 KB Output is correct
118 Correct 1294 ms 162748 KB Output is correct
119 Correct 1882 ms 227452 KB Output is correct
120 Correct 1213 ms 134992 KB Output is correct