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Submission #367600

# Submission time Handle Problem Language Result Execution time Memory
367600 2021-02-17T18:07:34 Z Aryan_Raina Relay Marathon (NOI20_relaymarathon) C++14
100 / 100
 5613 ms 183896 KB 
#include <bits/stdc++.h>
using namespace std;

#define int long long
#define nl '\n'

const int INF = 1e15;
const int MOD = 1e9+7;

const int MXN = 1e5+9;
vector<array<int,2>> g[MXN];
int n, m, k;
int magic(vector<int> &s, vector<int> &f) {
	priority_queue<array<int,2>, vector<array<int,2>>, greater<array<int,2>>> pq;
	vector<bool> inf(n, 0);
	for (int i : s) pq.push({0, i});
	for (int i : f) inf[i] = 1;
	vector<bool> vis(n, 0);
	while (!pq.empty()) {
		auto u = pq.top();
		pq.pop();
		if (vis[u[1]]) continue;
		vis[u[1]] = 1;
		if (inf[u[1]]) return u[0]; 
		for (auto v : g[u[1]]) if (!vis[v[1]]) {
			pq.push({u[0] + v[0], v[1]});
		}
	}
	return INF;
}

int32_t main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
    cin>>n>>m>>k;
    for (int i = 0; i < m; i++) {
    	int a, b, wt; cin>>a>>b>>wt;
    	--a, --b;
    	g[a].push_back({wt,b});
    	g[b].push_back({wt,a});
    }
    vector<int> special(k);
    for (int &i : special) cin>>i, --i;

    int ans = INF;
    while (clock() < 5.5*CLOCKS_PER_SEC) {
    	shuffle(special.begin(), special.end(), rng);
    	vector<int> start1, finish1, start2, finish2;
    	for (int i = 0; i < k; i++) {
    		if (i < k/4) start1.push_back(special[i]);
    		else if (i < k/2) finish1.push_back(special[i]);
    		else if (i < 3*k/4) start2.push_back(special[i]);
    		else finish2.push_back(special[i]);
    	}
    	int d = 0;
    	d += magic(start1, finish1);
    	d += magic(start2, finish2);
    	ans = min(d, ans);
    }
    cout<<ans;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5500 ms 2688 KB Output is correct
2 Correct 5500 ms 2860 KB Output is correct
3 Correct 5500 ms 2748 KB Output is correct
4 Correct 5500 ms 2796 KB Output is correct
5 Correct 5500 ms 2748 KB Output is correct
6 Correct 5500 ms 2796 KB Output is correct
7 Correct 5500 ms 2860 KB Output is correct
8 Correct 5500 ms 2860 KB Output is correct
9 Correct 5500 ms 2744 KB Output is correct
10 Correct 5500 ms 2748 KB Output is correct
11 Correct 5500 ms 2796 KB Output is correct
12 Correct 5500 ms 2704 KB Output is correct
13 Correct 5500 ms 2856 KB Output is correct
14 Correct 5500 ms 2840 KB Output is correct
15 Correct 5500 ms 2856 KB Output is correct
16 Correct 5500 ms 2668 KB Output is correct
17 Correct 5500 ms 2924 KB Output is correct
18 Correct 5500 ms 2796 KB Output is correct
19 Correct 5500 ms 2924 KB Output is correct
20 Correct 5500 ms 2668 KB Output is correct
21 Correct 5500 ms 2820 KB Output is correct
22 Correct 5500 ms 2796 KB Output is correct
23 Correct 5500 ms 2800 KB Output is correct
24 Correct 5500 ms 2752 KB Output is correct
25 Correct 5500 ms 2748 KB Output is correct
26 Correct 5500 ms 2752 KB Output is correct
27 Correct 5500 ms 2872 KB Output is correct
28 Correct 5500 ms 2796 KB Output is correct
29 Correct 5500 ms 2876 KB Output is correct
30 Correct 5500 ms 2880 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 5500 ms 2688 KB Output is correct
2 Correct 5500 ms 2860 KB Output is correct
3 Correct 5500 ms 2748 KB Output is correct
4 Correct 5500 ms 2796 KB Output is correct
5 Correct 5500 ms 2748 KB Output is correct
6 Correct 5500 ms 2796 KB Output is correct
7 Correct 5500 ms 2860 KB Output is correct
8 Correct 5500 ms 2860 KB Output is correct
9 Correct 5500 ms 2744 KB Output is correct
10 Correct 5500 ms 2748 KB Output is correct
11 Correct 5500 ms 2796 KB Output is correct
12 Correct 5500 ms 2704 KB Output is correct
13 Correct 5500 ms 2856 KB Output is correct
14 Correct 5500 ms 2840 KB Output is correct
15 Correct 5500 ms 2856 KB Output is correct
16 Correct 5500 ms 2668 KB Output is correct
17 Correct 5500 ms 2924 KB Output is correct
18 Correct 5500 ms 2796 KB Output is correct
19 Correct 5500 ms 2924 KB Output is correct
20 Correct 5500 ms 2668 KB Output is correct
21 Correct 5500 ms 2820 KB Output is correct
22 Correct 5500 ms 2796 KB Output is correct
23 Correct 5500 ms 2800 KB Output is correct
24 Correct 5500 ms 2752 KB Output is correct
25 Correct 5500 ms 2748 KB Output is correct
26 Correct 5500 ms 2752 KB Output is correct
27 Correct 5500 ms 2872 KB Output is correct
28 Correct 5500 ms 2796 KB Output is correct
29 Correct 5500 ms 2876 KB Output is correct
30 Correct 5500 ms 2880 KB Output is correct
31 Correct 5500 ms 2796 KB Output is correct
32 Correct 5500 ms 2792 KB Output is correct
33 Correct 5500 ms 2812 KB Output is correct
34 Correct 5500 ms 2768 KB Output is correct
35 Correct 5500 ms 2752 KB Output is correct
36 Correct 5500 ms 3092 KB Output is correct
37 Correct 5500 ms 3388 KB Output is correct
38 Correct 5500 ms 2824 KB Output is correct
39 Correct 5501 ms 11204 KB Output is correct
40 Correct 5500 ms 4340 KB Output is correct
41 Correct 5500 ms 2828 KB Output is correct
42 Correct 5500 ms 4352 KB Output is correct
43 Correct 5500 ms 3008 KB Output is correct
44 Correct 5500 ms 2828 KB Output is correct
45 Correct 5500 ms 2760 KB Output is correct
46 Correct 5502 ms 10480 KB Output is correct
47 Correct 5500 ms 4016 KB Output is correct
48 Correct 5501 ms 9748 KB Output is correct
49 Correct 5501 ms 9816 KB Output is correct
50 Correct 5500 ms 2812 KB Output is correct
51 Correct 5500 ms 2828 KB Output is correct
52 Correct 5500 ms 2812 KB Output is correct
53 Correct 5500 ms 6472 KB Output is correct
54 Correct 5501 ms 10280 KB Output is correct
55 Correct 5500 ms 2668 KB Output is correct
56 Correct 5500 ms 2768 KB Output is correct
57 Correct 5500 ms 2944 KB Output is correct
58 Correct 5501 ms 10444 KB Output is correct
59 Correct 5500 ms 2796 KB Output is correct
60 Correct 5500 ms 2996 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 5505 ms 8204 KB Output is correct
2 Correct 5500 ms 3436 KB Output is correct
3 Correct 5535 ms 151524 KB Output is correct
4 Correct 5549 ms 69424 KB Output is correct
5 Correct 5553 ms 17848 KB Output is correct
6 Correct 5511 ms 13436 KB Output is correct
7 Correct 5520 ms 19536 KB Output is correct
8 Correct 5505 ms 8132 KB Output is correct
9 Correct 5507 ms 12656 KB Output is correct
10 Correct 5507 ms 9820 KB Output is correct
11 Correct 5604 ms 157188 KB Output is correct
12 Correct 5509 ms 10360 KB Output is correct
13 Correct 5524 ms 50688 KB Output is correct
14 Correct 5515 ms 16568 KB Output is correct
15 Correct 5553 ms 154716 KB Output is correct
16 Correct 5509 ms 7148 KB Output is correct
17 Correct 5535 ms 97536 KB Output is correct
18 Correct 5501 ms 3424 KB Output is correct
19 Correct 5535 ms 138128 KB Output is correct
20 Correct 5515 ms 15680 KB Output is correct
21 Correct 5514 ms 15484 KB Output is correct
22 Correct 5507 ms 9280 KB Output is correct
23 Correct 5503 ms 5776 KB Output is correct
24 Correct 5574 ms 131448 KB Output is correct
25 Correct 5514 ms 12740 KB Output is correct
26 Correct 5505 ms 7948 KB Output is correct
27 Correct 5511 ms 10696 KB Output is correct
28 Correct 5502 ms 4528 KB Output is correct
29 Correct 5524 ms 18600 KB Output is correct
30 Correct 5520 ms 32116 KB Output is correct

Subtask #4
58.0 / 58.0

# Verdict Execution time Memory Grader output
1 Correct 5500 ms 2688 KB Output is correct
2 Correct 5500 ms 2860 KB Output is correct
3 Correct 5500 ms 2748 KB Output is correct
4 Correct 5500 ms 2796 KB Output is correct
5 Correct 5500 ms 2748 KB Output is correct
6 Correct 5500 ms 2796 KB Output is correct
7 Correct 5500 ms 2860 KB Output is correct
8 Correct 5500 ms 2860 KB Output is correct
9 Correct 5500 ms 2744 KB Output is correct
10 Correct 5500 ms 2748 KB Output is correct
11 Correct 5500 ms 2796 KB Output is correct
12 Correct 5500 ms 2704 KB Output is correct
13 Correct 5500 ms 2856 KB Output is correct
14 Correct 5500 ms 2840 KB Output is correct
15 Correct 5500 ms 2856 KB Output is correct
16 Correct 5500 ms 2668 KB Output is correct
17 Correct 5500 ms 2924 KB Output is correct
18 Correct 5500 ms 2796 KB Output is correct
19 Correct 5500 ms 2924 KB Output is correct
20 Correct 5500 ms 2668 KB Output is correct
21 Correct 5500 ms 2820 KB Output is correct
22 Correct 5500 ms 2796 KB Output is correct
23 Correct 5500 ms 2800 KB Output is correct
24 Correct 5500 ms 2752 KB Output is correct
25 Correct 5500 ms 2748 KB Output is correct
26 Correct 5500 ms 2752 KB Output is correct
27 Correct 5500 ms 2872 KB Output is correct
28 Correct 5500 ms 2796 KB Output is correct
29 Correct 5500 ms 2876 KB Output is correct
30 Correct 5500 ms 2880 KB Output is correct
31 Correct 5500 ms 2796 KB Output is correct
32 Correct 5500 ms 2792 KB Output is correct
33 Correct 5500 ms 2812 KB Output is correct
34 Correct 5500 ms 2768 KB Output is correct
35 Correct 5500 ms 2752 KB Output is correct
36 Correct 5500 ms 3092 KB Output is correct
37 Correct 5500 ms 3388 KB Output is correct
38 Correct 5500 ms 2824 KB Output is correct
39 Correct 5501 ms 11204 KB Output is correct
40 Correct 5500 ms 4340 KB Output is correct
41 Correct 5500 ms 2828 KB Output is correct
42 Correct 5500 ms 4352 KB Output is correct
43 Correct 5500 ms 3008 KB Output is correct
44 Correct 5500 ms 2828 KB Output is correct
45 Correct 5500 ms 2760 KB Output is correct
46 Correct 5502 ms 10480 KB Output is correct
47 Correct 5500 ms 4016 KB Output is correct
48 Correct 5501 ms 9748 KB Output is correct
49 Correct 5501 ms 9816 KB Output is correct
50 Correct 5500 ms 2812 KB Output is correct
51 Correct 5500 ms 2828 KB Output is correct
52 Correct 5500 ms 2812 KB Output is correct
53 Correct 5500 ms 6472 KB Output is correct
54 Correct 5501 ms 10280 KB Output is correct
55 Correct 5500 ms 2668 KB Output is correct
56 Correct 5500 ms 2768 KB Output is correct
57 Correct 5500 ms 2944 KB Output is correct
58 Correct 5501 ms 10444 KB Output is correct
59 Correct 5500 ms 2796 KB Output is correct
60 Correct 5500 ms 2996 KB Output is correct
61 Correct 5505 ms 8204 KB Output is correct
62 Correct 5500 ms 3436 KB Output is correct
63 Correct 5535 ms 151524 KB Output is correct
64 Correct 5549 ms 69424 KB Output is correct
65 Correct 5553 ms 17848 KB Output is correct
66 Correct 5511 ms 13436 KB Output is correct
67 Correct 5520 ms 19536 KB Output is correct
68 Correct 5505 ms 8132 KB Output is correct
69 Correct 5507 ms 12656 KB Output is correct
70 Correct 5507 ms 9820 KB Output is correct
71 Correct 5604 ms 157188 KB Output is correct
72 Correct 5509 ms 10360 KB Output is correct
73 Correct 5524 ms 50688 KB Output is correct
74 Correct 5515 ms 16568 KB Output is correct
75 Correct 5553 ms 154716 KB Output is correct
76 Correct 5509 ms 7148 KB Output is correct
77 Correct 5535 ms 97536 KB Output is correct
78 Correct 5501 ms 3424 KB Output is correct
79 Correct 5535 ms 138128 KB Output is correct
80 Correct 5515 ms 15680 KB Output is correct
81 Correct 5514 ms 15484 KB Output is correct
82 Correct 5507 ms 9280 KB Output is correct
83 Correct 5503 ms 5776 KB Output is correct
84 Correct 5574 ms 131448 KB Output is correct
85 Correct 5514 ms 12740 KB Output is correct
86 Correct 5505 ms 7948 KB Output is correct
87 Correct 5511 ms 10696 KB Output is correct
88 Correct 5502 ms 4528 KB Output is correct
89 Correct 5524 ms 18600 KB Output is correct
90 Correct 5520 ms 32116 KB Output is correct
91 Correct 5517 ms 11556 KB Output is correct
92 Correct 5613 ms 172452 KB Output is correct
93 Correct 5517 ms 19320 KB Output is correct
94 Correct 5531 ms 89504 KB Output is correct
95 Correct 5501 ms 3436 KB Output is correct
96 Correct 5501 ms 3692 KB Output is correct
97 Correct 5528 ms 23384 KB Output is correct
98 Correct 5506 ms 11588 KB Output is correct
99 Correct 5515 ms 13172 KB Output is correct
100 Correct 5560 ms 168352 KB Output is correct
101 Correct 5529 ms 70672 KB Output is correct
102 Correct 5532 ms 69748 KB Output is correct
103 Correct 5546 ms 134888 KB Output is correct
104 Correct 5547 ms 125172 KB Output is correct
105 Correct 5505 ms 8216 KB Output is correct
106 Correct 5575 ms 124716 KB Output is correct
107 Correct 5520 ms 36464 KB Output is correct
108 Correct 5519 ms 16500 KB Output is correct
109 Correct 5502 ms 4972 KB Output is correct
110 Correct 5504 ms 7388 KB Output is correct
111 Correct 5516 ms 17092 KB Output is correct
112 Correct 5552 ms 180832 KB Output is correct
113 Correct 5612 ms 183896 KB Output is correct
114 Correct 5529 ms 17784 KB Output is correct
115 Correct 5570 ms 79052 KB Output is correct
116 Correct 5554 ms 169600 KB Output is correct
117 Correct 5540 ms 132232 KB Output is correct
118 Correct 5557 ms 108936 KB Output is correct
119 Correct 5565 ms 136456 KB Output is correct
120 Correct 5529 ms 74472 KB Output is correct