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Submission #377248

# Submission time Handle Problem Language Result Execution time Memory
377248 2021-03-13T14:22:29 Z saarang123 Relay Marathon (NOI20_relaymarathon) C++17
100 / 100
 5568 ms 125840 KB 
#include <bits/stdc++.h>
using namespace std;
std::mt19937 rng((int) std::chrono::steady_clock::now().time_since_epoch().count());
const int mxn = 100 * 1000 + 3;
const int inf = 1e9 + 2;
vector<array<int, 2>> g[mxn];
int n, m, k;

int magic(vector<int> &src, vector<int> &snk) {
	priority_queue<array<int, 2>, vector<array<int, 2>>, greater<>> pq;
	vector<int> dt(n, inf);
	vector<bool> done(n);
	for(int v : src) {
		dt[v] = 0;
		pq.push({0, v});
	}
	for(int &v : snk)
		done[v] = true;
	while(!pq.empty()) {
		auto [wt, v] = pq.top();
		pq.pop();
		if(dt[v] != wt)
			continue;
		if(done[v])
			return wt;
		for(auto &[u, w] : g[v]) {
			if(dt[v] + w < dt[u]) {
				dt[u] = dt[v] + w;
				pq.push({dt[u], u});
			}
		}
	}
	int ret = inf;
	for(int &v : snk)
		ret = min(ret, dt[v]);
	return ret;
}

signed main() {
    std::ios::sync_with_stdio(0);
    std::cout.tie(0);
    std::cin.tie(0);
    #ifdef saarang
    freopen("/home/saarang/Documents/cp/input.txt", "r", stdin);
    freopen("/home/saarang/Documents/cp/output.txt", "w", stdout);
    #endif
    cin >> n >> m >> k;
    for(int u, v, w, i = 0; i < m; i++) {
    	cin >> u >> v >> w;
    	g[--u].push_back({--v, w});
    	g[v].push_back({u, w});
    }
    vector<int> a(k);
    for(int &x : a)
    	cin >> x, x--;
    int ans = inf;
    while(clock() < 5.5 * CLOCKS_PER_SEC) {
    	shuffle(a.begin(), a.end(), rng);
    	vector<int> src[2], snk[2];
    	for(int i = 0; i < k / 2; i++)
    		src[rng() % 2].push_back(a[i]);
    	for(int i = k / 2; i < k; i++) 
    		snk[rng() % 2].push_back(a[i]);
    	ans = min(ans, magic(src[0], snk[0]) + magic(src[1], snk[1]));
    }
    cout << ans << '\n';
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5500 ms 2796 KB Output is correct
2 Correct 5500 ms 2800 KB Output is correct
3 Correct 5500 ms 2796 KB Output is correct
4 Correct 5500 ms 2796 KB Output is correct
5 Correct 5500 ms 2668 KB Output is correct
6 Correct 5500 ms 2796 KB Output is correct
7 Correct 5500 ms 2804 KB Output is correct
8 Correct 5500 ms 2800 KB Output is correct
9 Correct 5500 ms 2748 KB Output is correct
10 Correct 5500 ms 2748 KB Output is correct
11 Correct 5500 ms 2752 KB Output is correct
12 Correct 5500 ms 2752 KB Output is correct
13 Correct 5500 ms 2800 KB Output is correct
14 Correct 5500 ms 2792 KB Output is correct
15 Correct 5500 ms 2800 KB Output is correct
16 Correct 5500 ms 2752 KB Output is correct
17 Correct 5500 ms 2784 KB Output is correct
18 Correct 5500 ms 2668 KB Output is correct
19 Correct 5500 ms 2924 KB Output is correct
20 Correct 5500 ms 2768 KB Output is correct
21 Correct 5500 ms 2796 KB Output is correct
22 Correct 5500 ms 2748 KB Output is correct
23 Correct 5500 ms 2776 KB Output is correct
24 Correct 5500 ms 2796 KB Output is correct
25 Correct 5500 ms 2796 KB Output is correct
26 Correct 5500 ms 2752 KB Output is correct
27 Correct 5500 ms 2748 KB Output is correct
28 Correct 5500 ms 2804 KB Output is correct
29 Correct 5500 ms 2800 KB Output is correct
30 Correct 5500 ms 2804 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 5500 ms 2796 KB Output is correct
2 Correct 5500 ms 2800 KB Output is correct
3 Correct 5500 ms 2796 KB Output is correct
4 Correct 5500 ms 2796 KB Output is correct
5 Correct 5500 ms 2668 KB Output is correct
6 Correct 5500 ms 2796 KB Output is correct
7 Correct 5500 ms 2804 KB Output is correct
8 Correct 5500 ms 2800 KB Output is correct
9 Correct 5500 ms 2748 KB Output is correct
10 Correct 5500 ms 2748 KB Output is correct
11 Correct 5500 ms 2752 KB Output is correct
12 Correct 5500 ms 2752 KB Output is correct
13 Correct 5500 ms 2800 KB Output is correct
14 Correct 5500 ms 2792 KB Output is correct
15 Correct 5500 ms 2800 KB Output is correct
16 Correct 5500 ms 2752 KB Output is correct
17 Correct 5500 ms 2784 KB Output is correct
18 Correct 5500 ms 2668 KB Output is correct
19 Correct 5500 ms 2924 KB Output is correct
20 Correct 5500 ms 2768 KB Output is correct
21 Correct 5500 ms 2796 KB Output is correct
22 Correct 5500 ms 2748 KB Output is correct
23 Correct 5500 ms 2776 KB Output is correct
24 Correct 5500 ms 2796 KB Output is correct
25 Correct 5500 ms 2796 KB Output is correct
26 Correct 5500 ms 2752 KB Output is correct
27 Correct 5500 ms 2748 KB Output is correct
28 Correct 5500 ms 2804 KB Output is correct
29 Correct 5500 ms 2800 KB Output is correct
30 Correct 5500 ms 2804 KB Output is correct
31 Correct 5500 ms 2744 KB Output is correct
32 Correct 5500 ms 2796 KB Output is correct
33 Correct 5500 ms 2796 KB Output is correct
34 Correct 5500 ms 2796 KB Output is correct
35 Correct 5500 ms 2884 KB Output is correct
36 Correct 5500 ms 3052 KB Output is correct
37 Correct 5500 ms 3052 KB Output is correct
38 Correct 5500 ms 2924 KB Output is correct
39 Correct 5500 ms 6124 KB Output is correct
40 Correct 5500 ms 3568 KB Output is correct
41 Correct 5500 ms 2804 KB Output is correct
42 Correct 5500 ms 3564 KB Output is correct
43 Correct 5500 ms 2924 KB Output is correct
44 Correct 5500 ms 2804 KB Output is correct
45 Correct 5500 ms 2764 KB Output is correct
46 Correct 5500 ms 6284 KB Output is correct
47 Correct 5500 ms 3240 KB Output is correct
48 Correct 5500 ms 5916 KB Output is correct
49 Correct 5500 ms 6040 KB Output is correct
50 Correct 5500 ms 2668 KB Output is correct
51 Correct 5500 ms 2796 KB Output is correct
52 Correct 5500 ms 2792 KB Output is correct
53 Correct 5500 ms 4460 KB Output is correct
54 Correct 5500 ms 6080 KB Output is correct
55 Correct 5500 ms 2796 KB Output is correct
56 Correct 5500 ms 2796 KB Output is correct
57 Correct 5500 ms 2668 KB Output is correct
58 Correct 5500 ms 6124 KB Output is correct
59 Correct 5500 ms 2752 KB Output is correct
60 Correct 5500 ms 2820 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 5505 ms 7020 KB Output is correct
2 Correct 5501 ms 3820 KB Output is correct
3 Correct 5559 ms 66004 KB Output is correct
4 Correct 5531 ms 34380 KB Output is correct
5 Correct 5524 ms 10972 KB Output is correct
6 Correct 5515 ms 9220 KB Output is correct
7 Correct 5512 ms 11740 KB Output is correct
8 Correct 5506 ms 7048 KB Output is correct
9 Correct 5527 ms 9316 KB Output is correct
10 Correct 5508 ms 7664 KB Output is correct
11 Correct 5536 ms 68092 KB Output is correct
12 Correct 5504 ms 7912 KB Output is correct
13 Correct 5544 ms 23324 KB Output is correct
14 Correct 5510 ms 10764 KB Output is correct
15 Correct 5568 ms 66972 KB Output is correct
16 Correct 5505 ms 6548 KB Output is correct
17 Correct 5529 ms 48636 KB Output is correct
18 Correct 5501 ms 3812 KB Output is correct
19 Correct 5536 ms 67252 KB Output is correct
20 Correct 5507 ms 9984 KB Output is correct
21 Correct 5508 ms 10232 KB Output is correct
22 Correct 5504 ms 7212 KB Output is correct
23 Correct 5503 ms 5716 KB Output is correct
24 Correct 5561 ms 57308 KB Output is correct
25 Correct 5506 ms 7956 KB Output is correct
26 Correct 5504 ms 5988 KB Output is correct
27 Correct 5511 ms 7140 KB Output is correct
28 Correct 5502 ms 4376 KB Output is correct
29 Correct 5512 ms 10176 KB Output is correct
30 Correct 5522 ms 21896 KB Output is correct

Subtask #4
58.0 / 58.0

# Verdict Execution time Memory Grader output
1 Correct 5500 ms 2796 KB Output is correct
2 Correct 5500 ms 2800 KB Output is correct
3 Correct 5500 ms 2796 KB Output is correct
4 Correct 5500 ms 2796 KB Output is correct
5 Correct 5500 ms 2668 KB Output is correct
6 Correct 5500 ms 2796 KB Output is correct
7 Correct 5500 ms 2804 KB Output is correct
8 Correct 5500 ms 2800 KB Output is correct
9 Correct 5500 ms 2748 KB Output is correct
10 Correct 5500 ms 2748 KB Output is correct
11 Correct 5500 ms 2752 KB Output is correct
12 Correct 5500 ms 2752 KB Output is correct
13 Correct 5500 ms 2800 KB Output is correct
14 Correct 5500 ms 2792 KB Output is correct
15 Correct 5500 ms 2800 KB Output is correct
16 Correct 5500 ms 2752 KB Output is correct
17 Correct 5500 ms 2784 KB Output is correct
18 Correct 5500 ms 2668 KB Output is correct
19 Correct 5500 ms 2924 KB Output is correct
20 Correct 5500 ms 2768 KB Output is correct
21 Correct 5500 ms 2796 KB Output is correct
22 Correct 5500 ms 2748 KB Output is correct
23 Correct 5500 ms 2776 KB Output is correct
24 Correct 5500 ms 2796 KB Output is correct
25 Correct 5500 ms 2796 KB Output is correct
26 Correct 5500 ms 2752 KB Output is correct
27 Correct 5500 ms 2748 KB Output is correct
28 Correct 5500 ms 2804 KB Output is correct
29 Correct 5500 ms 2800 KB Output is correct
30 Correct 5500 ms 2804 KB Output is correct
31 Correct 5500 ms 2744 KB Output is correct
32 Correct 5500 ms 2796 KB Output is correct
33 Correct 5500 ms 2796 KB Output is correct
34 Correct 5500 ms 2796 KB Output is correct
35 Correct 5500 ms 2884 KB Output is correct
36 Correct 5500 ms 3052 KB Output is correct
37 Correct 5500 ms 3052 KB Output is correct
38 Correct 5500 ms 2924 KB Output is correct
39 Correct 5500 ms 6124 KB Output is correct
40 Correct 5500 ms 3568 KB Output is correct
41 Correct 5500 ms 2804 KB Output is correct
42 Correct 5500 ms 3564 KB Output is correct
43 Correct 5500 ms 2924 KB Output is correct
44 Correct 5500 ms 2804 KB Output is correct
45 Correct 5500 ms 2764 KB Output is correct
46 Correct 5500 ms 6284 KB Output is correct
47 Correct 5500 ms 3240 KB Output is correct
48 Correct 5500 ms 5916 KB Output is correct
49 Correct 5500 ms 6040 KB Output is correct
50 Correct 5500 ms 2668 KB Output is correct
51 Correct 5500 ms 2796 KB Output is correct
52 Correct 5500 ms 2792 KB Output is correct
53 Correct 5500 ms 4460 KB Output is correct
54 Correct 5500 ms 6080 KB Output is correct
55 Correct 5500 ms 2796 KB Output is correct
56 Correct 5500 ms 2796 KB Output is correct
57 Correct 5500 ms 2668 KB Output is correct
58 Correct 5500 ms 6124 KB Output is correct
59 Correct 5500 ms 2752 KB Output is correct
60 Correct 5500 ms 2820 KB Output is correct
61 Correct 5505 ms 7020 KB Output is correct
62 Correct 5501 ms 3820 KB Output is correct
63 Correct 5559 ms 66004 KB Output is correct
64 Correct 5531 ms 34380 KB Output is correct
65 Correct 5524 ms 10972 KB Output is correct
66 Correct 5515 ms 9220 KB Output is correct
67 Correct 5512 ms 11740 KB Output is correct
68 Correct 5506 ms 7048 KB Output is correct
69 Correct 5527 ms 9316 KB Output is correct
70 Correct 5508 ms 7664 KB Output is correct
71 Correct 5536 ms 68092 KB Output is correct
72 Correct 5504 ms 7912 KB Output is correct
73 Correct 5544 ms 23324 KB Output is correct
74 Correct 5510 ms 10764 KB Output is correct
75 Correct 5568 ms 66972 KB Output is correct
76 Correct 5505 ms 6548 KB Output is correct
77 Correct 5529 ms 48636 KB Output is correct
78 Correct 5501 ms 3812 KB Output is correct
79 Correct 5536 ms 67252 KB Output is correct
80 Correct 5507 ms 9984 KB Output is correct
81 Correct 5508 ms 10232 KB Output is correct
82 Correct 5504 ms 7212 KB Output is correct
83 Correct 5503 ms 5716 KB Output is correct
84 Correct 5561 ms 57308 KB Output is correct
85 Correct 5506 ms 7956 KB Output is correct
86 Correct 5504 ms 5988 KB Output is correct
87 Correct 5511 ms 7140 KB Output is correct
88 Correct 5502 ms 4376 KB Output is correct
89 Correct 5512 ms 10176 KB Output is correct
90 Correct 5522 ms 21896 KB Output is correct
91 Correct 5539 ms 9980 KB Output is correct
92 Correct 5550 ms 117332 KB Output is correct
93 Correct 5507 ms 13628 KB Output is correct
94 Correct 5528 ms 67712 KB Output is correct
95 Correct 5501 ms 3804 KB Output is correct
96 Correct 5501 ms 3944 KB Output is correct
97 Correct 5512 ms 17120 KB Output is correct
98 Correct 5519 ms 9240 KB Output is correct
99 Correct 5511 ms 10352 KB Output is correct
100 Correct 5552 ms 124484 KB Output is correct
101 Correct 5522 ms 45492 KB Output is correct
102 Correct 5522 ms 44888 KB Output is correct
103 Correct 5533 ms 87148 KB Output is correct
104 Correct 5526 ms 95720 KB Output is correct
105 Correct 5504 ms 7244 KB Output is correct
106 Correct 5545 ms 87320 KB Output is correct
107 Correct 5524 ms 24580 KB Output is correct
108 Correct 5509 ms 12556 KB Output is correct
109 Correct 5502 ms 5220 KB Output is correct
110 Correct 5504 ms 6816 KB Output is correct
111 Correct 5509 ms 12760 KB Output is correct
112 Correct 5541 ms 125216 KB Output is correct
113 Correct 5552 ms 125840 KB Output is correct
114 Correct 5531 ms 12692 KB Output is correct
115 Correct 5559 ms 45508 KB Output is correct
116 Correct 5538 ms 114592 KB Output is correct
117 Correct 5566 ms 85308 KB Output is correct
118 Correct 5538 ms 75868 KB Output is correct
119 Correct 5546 ms 101540 KB Output is correct
120 Correct 5521 ms 58608 KB Output is correct