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Submission #379947

# Submission time Handle Problem Language Result Execution time Memory
379947 2021-03-19T19:12:56 Z nikatamliani Relay Marathon (NOI20_relaymarathon) C++14
100 / 100
 5097 ms 90672 KB 
#include <bits/stdc++.h>
using namespace std;
int n, m, k;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
int rand(int a, int b) {
	return a + (unsigned long long)rng() % (b - a + 1);
}
const int oo = 1e9+10;
int calc(vector<int> &a, vector<int> &b, vector<vector<pair<int, int>>> &edges) {
	priority_queue<pair<int,int>> q;
	for(int x : a) {
		q.push({0, x});
	}
	vector<bool> fix(n), seen(n);
	for(int x : b) {
		fix[x] = 1;
	}
	while(!q.empty()) {
		pair<int,int> p = q.top(); q.pop();
		if(fix[p.second]) return -p.first;
		if(seen[p.second]) continue;
		seen[p.second] = 1;
		for(const pair<int,int> &to : edges[p.second]) {
			if(!seen[to.first]) {
				q.push({p.first - to.second, to.first});
			}
		}
	}
	return oo;
}
int main() {
	ios::sync_with_stdio(0); cin.tie(0);
	cin >> n >> m >> k;
	vector<vector<pair<int, int>>> edges(n);
	for(int i = 0; i < m; ++i) {
		int u, v, w;
		cin >> u >> v >> w; --u, --v; 
		edges[u].push_back({v, w});
		edges[v].push_back({u, w});
	}
	vector<int> special(k);
	for(int &i : special) cin >> i, --i;
	int ans = oo;
	for(clock_t it = clock(); it < 5 * CLOCKS_PER_SEC; it = clock()) {
		shuffle(special.begin(), special.end(), rng);
		vector<int> start[2], end[2];
		for(int i = 0; i < k / 2; ++i) {
			start[rng() & 1].push_back(special[i]);
		}
		for(int i = k / 2; i < k; ++i) {
			end[rng() & 1].push_back(special[i]);
		}
		ans = min(ans, calc(start[0], end[0], edges) + calc(start[1], end[1], edges));
	}
	cout << ans << '\n';
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4999 ms 396 KB Output is correct
2 Correct 4999 ms 456 KB Output is correct
3 Correct 4999 ms 396 KB Output is correct
4 Correct 5000 ms 492 KB Output is correct
5 Correct 5000 ms 396 KB Output is correct
6 Correct 4999 ms 396 KB Output is correct
7 Correct 5000 ms 456 KB Output is correct
8 Correct 5000 ms 492 KB Output is correct
9 Correct 5000 ms 396 KB Output is correct
10 Correct 5000 ms 396 KB Output is correct
11 Correct 4999 ms 492 KB Output is correct
12 Correct 5000 ms 396 KB Output is correct
13 Correct 4999 ms 452 KB Output is correct
14 Correct 4999 ms 448 KB Output is correct
15 Correct 4999 ms 456 KB Output is correct
16 Correct 4999 ms 396 KB Output is correct
17 Correct 5000 ms 440 KB Output is correct
18 Correct 5000 ms 396 KB Output is correct
19 Correct 5000 ms 456 KB Output is correct
20 Correct 5000 ms 420 KB Output is correct
21 Correct 5000 ms 440 KB Output is correct
22 Correct 4999 ms 396 KB Output is correct
23 Correct 4999 ms 428 KB Output is correct
24 Correct 5000 ms 396 KB Output is correct
25 Correct 5000 ms 396 KB Output is correct
26 Correct 5000 ms 512 KB Output is correct
27 Correct 5000 ms 396 KB Output is correct
28 Correct 5000 ms 364 KB Output is correct
29 Correct 5000 ms 456 KB Output is correct
30 Correct 5000 ms 364 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 4999 ms 396 KB Output is correct
2 Correct 4999 ms 456 KB Output is correct
3 Correct 4999 ms 396 KB Output is correct
4 Correct 5000 ms 492 KB Output is correct
5 Correct 5000 ms 396 KB Output is correct
6 Correct 4999 ms 396 KB Output is correct
7 Correct 5000 ms 456 KB Output is correct
8 Correct 5000 ms 492 KB Output is correct
9 Correct 5000 ms 396 KB Output is correct
10 Correct 5000 ms 396 KB Output is correct
11 Correct 4999 ms 492 KB Output is correct
12 Correct 5000 ms 396 KB Output is correct
13 Correct 4999 ms 452 KB Output is correct
14 Correct 4999 ms 448 KB Output is correct
15 Correct 4999 ms 456 KB Output is correct
16 Correct 4999 ms 396 KB Output is correct
17 Correct 5000 ms 440 KB Output is correct
18 Correct 5000 ms 396 KB Output is correct
19 Correct 5000 ms 456 KB Output is correct
20 Correct 5000 ms 420 KB Output is correct
21 Correct 5000 ms 440 KB Output is correct
22 Correct 4999 ms 396 KB Output is correct
23 Correct 4999 ms 428 KB Output is correct
24 Correct 5000 ms 396 KB Output is correct
25 Correct 5000 ms 396 KB Output is correct
26 Correct 5000 ms 512 KB Output is correct
27 Correct 5000 ms 396 KB Output is correct
28 Correct 5000 ms 364 KB Output is correct
29 Correct 5000 ms 456 KB Output is correct
30 Correct 5000 ms 364 KB Output is correct
31 Correct 5000 ms 428 KB Output is correct
32 Correct 4999 ms 436 KB Output is correct
33 Correct 5000 ms 444 KB Output is correct
34 Correct 5000 ms 424 KB Output is correct
35 Correct 4999 ms 416 KB Output is correct
36 Correct 5000 ms 568 KB Output is correct
37 Correct 5005 ms 652 KB Output is correct
38 Correct 5000 ms 452 KB Output is correct
39 Correct 5000 ms 4612 KB Output is correct
40 Correct 5000 ms 1064 KB Output is correct
41 Correct 4999 ms 364 KB Output is correct
42 Correct 5000 ms 1144 KB Output is correct
43 Correct 5000 ms 532 KB Output is correct
44 Correct 5000 ms 452 KB Output is correct
45 Correct 4999 ms 364 KB Output is correct
46 Correct 5001 ms 4024 KB Output is correct
47 Correct 5000 ms 876 KB Output is correct
48 Correct 5000 ms 3756 KB Output is correct
49 Correct 5001 ms 3624 KB Output is correct
50 Correct 4999 ms 444 KB Output is correct
51 Correct 5000 ms 492 KB Output is correct
52 Correct 4999 ms 492 KB Output is correct
53 Correct 5000 ms 2800 KB Output is correct
54 Correct 5000 ms 4132 KB Output is correct
55 Correct 4999 ms 436 KB Output is correct
56 Correct 5000 ms 428 KB Output is correct
57 Correct 5000 ms 364 KB Output is correct
58 Correct 5001 ms 3984 KB Output is correct
59 Correct 4999 ms 416 KB Output is correct
60 Correct 5000 ms 492 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 5006 ms 6028 KB Output is correct
2 Correct 5001 ms 3308 KB Output is correct
3 Correct 5086 ms 76508 KB Output is correct
4 Correct 5021 ms 34204 KB Output is correct
5 Correct 5017 ms 10784 KB Output is correct
6 Correct 5005 ms 8868 KB Output is correct
7 Correct 5019 ms 11620 KB Output is correct
8 Correct 5010 ms 6960 KB Output is correct
9 Correct 5005 ms 8820 KB Output is correct
10 Correct 5009 ms 7020 KB Output is correct
11 Correct 5041 ms 77604 KB Output is correct
12 Correct 5009 ms 7812 KB Output is correct
13 Correct 5044 ms 24216 KB Output is correct
14 Correct 5008 ms 10400 KB Output is correct
15 Correct 5051 ms 76312 KB Output is correct
16 Correct 5004 ms 6124 KB Output is correct
17 Correct 5035 ms 49404 KB Output is correct
18 Correct 5001 ms 3404 KB Output is correct
19 Correct 5037 ms 68012 KB Output is correct
20 Correct 5007 ms 10036 KB Output is correct
21 Correct 5013 ms 10172 KB Output is correct
22 Correct 5004 ms 7180 KB Output is correct
23 Correct 5003 ms 5228 KB Output is correct
24 Correct 5097 ms 66760 KB Output is correct
25 Correct 5008 ms 8664 KB Output is correct
26 Correct 5004 ms 6752 KB Output is correct
27 Correct 5004 ms 7672 KB Output is correct
28 Correct 5002 ms 4332 KB Output is correct
29 Correct 5007 ms 11252 KB Output is correct
30 Correct 5017 ms 16072 KB Output is correct

Subtask #4
58.0 / 58.0

# Verdict Execution time Memory Grader output
1 Correct 4999 ms 396 KB Output is correct
2 Correct 4999 ms 456 KB Output is correct
3 Correct 4999 ms 396 KB Output is correct
4 Correct 5000 ms 492 KB Output is correct
5 Correct 5000 ms 396 KB Output is correct
6 Correct 4999 ms 396 KB Output is correct
7 Correct 5000 ms 456 KB Output is correct
8 Correct 5000 ms 492 KB Output is correct
9 Correct 5000 ms 396 KB Output is correct
10 Correct 5000 ms 396 KB Output is correct
11 Correct 4999 ms 492 KB Output is correct
12 Correct 5000 ms 396 KB Output is correct
13 Correct 4999 ms 452 KB Output is correct
14 Correct 4999 ms 448 KB Output is correct
15 Correct 4999 ms 456 KB Output is correct
16 Correct 4999 ms 396 KB Output is correct
17 Correct 5000 ms 440 KB Output is correct
18 Correct 5000 ms 396 KB Output is correct
19 Correct 5000 ms 456 KB Output is correct
20 Correct 5000 ms 420 KB Output is correct
21 Correct 5000 ms 440 KB Output is correct
22 Correct 4999 ms 396 KB Output is correct
23 Correct 4999 ms 428 KB Output is correct
24 Correct 5000 ms 396 KB Output is correct
25 Correct 5000 ms 396 KB Output is correct
26 Correct 5000 ms 512 KB Output is correct
27 Correct 5000 ms 396 KB Output is correct
28 Correct 5000 ms 364 KB Output is correct
29 Correct 5000 ms 456 KB Output is correct
30 Correct 5000 ms 364 KB Output is correct
31 Correct 5000 ms 428 KB Output is correct
32 Correct 4999 ms 436 KB Output is correct
33 Correct 5000 ms 444 KB Output is correct
34 Correct 5000 ms 424 KB Output is correct
35 Correct 4999 ms 416 KB Output is correct
36 Correct 5000 ms 568 KB Output is correct
37 Correct 5005 ms 652 KB Output is correct
38 Correct 5000 ms 452 KB Output is correct
39 Correct 5000 ms 4612 KB Output is correct
40 Correct 5000 ms 1064 KB Output is correct
41 Correct 4999 ms 364 KB Output is correct
42 Correct 5000 ms 1144 KB Output is correct
43 Correct 5000 ms 532 KB Output is correct
44 Correct 5000 ms 452 KB Output is correct
45 Correct 4999 ms 364 KB Output is correct
46 Correct 5001 ms 4024 KB Output is correct
47 Correct 5000 ms 876 KB Output is correct
48 Correct 5000 ms 3756 KB Output is correct
49 Correct 5001 ms 3624 KB Output is correct
50 Correct 4999 ms 444 KB Output is correct
51 Correct 5000 ms 492 KB Output is correct
52 Correct 4999 ms 492 KB Output is correct
53 Correct 5000 ms 2800 KB Output is correct
54 Correct 5000 ms 4132 KB Output is correct
55 Correct 4999 ms 436 KB Output is correct
56 Correct 5000 ms 428 KB Output is correct
57 Correct 5000 ms 364 KB Output is correct
58 Correct 5001 ms 3984 KB Output is correct
59 Correct 4999 ms 416 KB Output is correct
60 Correct 5000 ms 492 KB Output is correct
61 Correct 5006 ms 6028 KB Output is correct
62 Correct 5001 ms 3308 KB Output is correct
63 Correct 5086 ms 76508 KB Output is correct
64 Correct 5021 ms 34204 KB Output is correct
65 Correct 5017 ms 10784 KB Output is correct
66 Correct 5005 ms 8868 KB Output is correct
67 Correct 5019 ms 11620 KB Output is correct
68 Correct 5010 ms 6960 KB Output is correct
69 Correct 5005 ms 8820 KB Output is correct
70 Correct 5009 ms 7020 KB Output is correct
71 Correct 5041 ms 77604 KB Output is correct
72 Correct 5009 ms 7812 KB Output is correct
73 Correct 5044 ms 24216 KB Output is correct
74 Correct 5008 ms 10400 KB Output is correct
75 Correct 5051 ms 76312 KB Output is correct
76 Correct 5004 ms 6124 KB Output is correct
77 Correct 5035 ms 49404 KB Output is correct
78 Correct 5001 ms 3404 KB Output is correct
79 Correct 5037 ms 68012 KB Output is correct
80 Correct 5007 ms 10036 KB Output is correct
81 Correct 5013 ms 10172 KB Output is correct
82 Correct 5004 ms 7180 KB Output is correct
83 Correct 5003 ms 5228 KB Output is correct
84 Correct 5097 ms 66760 KB Output is correct
85 Correct 5008 ms 8664 KB Output is correct
86 Correct 5004 ms 6752 KB Output is correct
87 Correct 5004 ms 7672 KB Output is correct
88 Correct 5002 ms 4332 KB Output is correct
89 Correct 5007 ms 11252 KB Output is correct
90 Correct 5017 ms 16072 KB Output is correct
91 Correct 5030 ms 8432 KB Output is correct
92 Correct 5075 ms 85112 KB Output is correct
93 Correct 5011 ms 11516 KB Output is correct
94 Correct 5027 ms 44152 KB Output is correct
95 Correct 5001 ms 3308 KB Output is correct
96 Correct 5001 ms 3436 KB Output is correct
97 Correct 5014 ms 13120 KB Output is correct
98 Correct 5008 ms 8144 KB Output is correct
99 Correct 5008 ms 9008 KB Output is correct
100 Correct 5040 ms 82724 KB Output is correct
101 Correct 5021 ms 32360 KB Output is correct
102 Correct 5025 ms 32336 KB Output is correct
103 Correct 5037 ms 68280 KB Output is correct
104 Correct 5045 ms 62976 KB Output is correct
105 Correct 5005 ms 7048 KB Output is correct
106 Correct 5061 ms 63068 KB Output is correct
107 Correct 5021 ms 18992 KB Output is correct
108 Correct 5009 ms 11300 KB Output is correct
109 Correct 5002 ms 4716 KB Output is correct
110 Correct 5005 ms 6380 KB Output is correct
111 Correct 5014 ms 11636 KB Output is correct
112 Correct 5036 ms 89348 KB Output is correct
113 Correct 5067 ms 90672 KB Output is correct
114 Correct 5045 ms 11896 KB Output is correct
115 Correct 5036 ms 36344 KB Output is correct
116 Correct 5063 ms 83564 KB Output is correct
117 Correct 5038 ms 66704 KB Output is correct
118 Correct 5069 ms 55060 KB Output is correct
119 Correct 5042 ms 67636 KB Output is correct
120 Correct 5022 ms 38068 KB Output is correct