Submission #232068

# Submission time Handle Problem Language Result Execution time Memory
232068 2020-05-16T00:04:06 Z AQT Duathlon (APIO18_duathlon) C++14
49 / 100
258 ms 94500 KB
// Problem : APIO '18 P3 - Duathlon
// Contest : DMOJ
// URL : https://dmoj.ca/problem/apio18p3
// Memory Limit : 1 MB
// Time Limit : 600 ms
// Powered by CP Editor (https://github.com/cpeditor/cpeditor)

#include <bits/stdc++.h>

using namespace std;

int N, M;
vector<int> graph[100005], cgraph[500005];
vector<pair<int, int>> stk;
vector<vector<pair<int, int>>> cmp;
int par[500005], dfn[500005], low[500005], t;
long long sz[500005], csz[500005];
long long ans;

void dfs1(int n){
	low[n] = dfn[n] = ++t;
	int c = 0;
	for(int e : graph[n]){
		if(e == par[n]){
			continue;
		}
		if(!dfn[e]){
			c++;
			par[e] = n;
			stk.emplace_back(n, e);					
			dfs1(e);
			low[n] = min(low[n], low[e]);
			if((!par[n] && c >= 2) || (par[n] && low[e] >= dfn[n])){
				//cout << "enter: " << n << "\n";
				pair<int, int> edg = {0, 0};
				vector<pair<int, int>> tmp;
				do{
					edg = stk.back();
					stk.pop_back();
					tmp.push_back(edg);
					//cout << "indfs: " << edg.first << " " << edg.second << "\n";
				}
				while(edg != make_pair(n, e));
				cmp.push_back(tmp);
			}
		}
		else if(dfn[e] < dfn[n]){
			low[n] = min(dfn[e], low[n]);
			stk.emplace_back(n, e);		
		}
	}
}

void dfs2(int n){
	sz[n] = n <= N;
	for(int e : cgraph[n]){
		if(e != par[n]){
			par[e] = n;
			dfs2(e);
			sz[n] += sz[e];
		}
	}
	if(n > N){
		csz[n] = cgraph[n].size();
	}
}

void dfs3(int n, long long tot){
	if(n > N){
		ans -= (csz[n]-1) * (tot-sz[n]) * (tot-sz[n]-1);
	}
	for(int e : cgraph[n]){
		if(n <= N && e == par[n]){
			ans -= (csz[e]-1)*sz[n]*(sz[n]-1);
		}
		if(e != par[n]){
			dfs3(e, tot);
		}
	}
}

int main(){
	cin.sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	cin >> N >> M;
	for(int i = 1; i<=M; i++){
		int a, b;
		cin >> a >> b;
		graph[a].push_back(b);
		graph[b].push_back(a);
	}
	int C = N;
	for(int i = 1; i<=N; i++){
		if(!dfn[i]){
			dfs1(i);
			if(stk.size()){
				cmp.push_back(stk);
				stk.clear();
			}
			for(auto v : cmp){
				++C;
				for(auto p : v){
					//cout << p.first << " " << p.second << "\n";
					cgraph[C].push_back(p.second);
					cgraph[C].push_back(p.first);
				}
				//cout << "\n";
				sort(cgraph[C].begin(), cgraph[C].end());
				cgraph[C].erase(unique(cgraph[C].begin(), cgraph[C].end()), cgraph[C].end());
				for(int n : cgraph[C]){
					cgraph[n].push_back(C);
				}
			}
			dfs2(i);
			dfs3(i, sz[i]);
			ans += sz[i] * (sz[i]-1) * (sz[i] -2);
		}
	}
	cout << ans << "\n";
}
# Verdict Execution time Memory Grader output
1 Correct 13 ms 14464 KB Output is correct
2 Correct 13 ms 14464 KB Output is correct
3 Correct 13 ms 14464 KB Output is correct
4 Correct 13 ms 14464 KB Output is correct
5 Correct 13 ms 14464 KB Output is correct
6 Correct 13 ms 14464 KB Output is correct
7 Correct 12 ms 14464 KB Output is correct
8 Correct 13 ms 14464 KB Output is correct
9 Correct 13 ms 14464 KB Output is correct
10 Correct 13 ms 14464 KB Output is correct
11 Correct 13 ms 14464 KB Output is correct
12 Correct 13 ms 14452 KB Output is correct
13 Correct 13 ms 14464 KB Output is correct
14 Correct 13 ms 14464 KB Output is correct
15 Correct 15 ms 14464 KB Output is correct
16 Correct 13 ms 14464 KB Output is correct
17 Correct 14 ms 14464 KB Output is correct
18 Correct 13 ms 14464 KB Output is correct
19 Correct 12 ms 14464 KB Output is correct
20 Correct 13 ms 14464 KB Output is correct
21 Correct 13 ms 14464 KB Output is correct
22 Correct 13 ms 14464 KB Output is correct
23 Correct 13 ms 14464 KB Output is correct
24 Correct 12 ms 14464 KB Output is correct
25 Correct 13 ms 14464 KB Output is correct
26 Correct 13 ms 14464 KB Output is correct
27 Correct 13 ms 14464 KB Output is correct
28 Correct 13 ms 14464 KB Output is correct
29 Correct 13 ms 14464 KB Output is correct
30 Correct 13 ms 14464 KB Output is correct
31 Correct 13 ms 14464 KB Output is correct
32 Correct 13 ms 14464 KB Output is correct
33 Correct 13 ms 14464 KB Output is correct
34 Correct 12 ms 14464 KB Output is correct
35 Correct 13 ms 14464 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 13 ms 14464 KB Output is correct
2 Correct 13 ms 14464 KB Output is correct
3 Correct 13 ms 14464 KB Output is correct
4 Correct 13 ms 14464 KB Output is correct
5 Correct 13 ms 14464 KB Output is correct
6 Correct 13 ms 14464 KB Output is correct
7 Correct 12 ms 14464 KB Output is correct
8 Correct 13 ms 14464 KB Output is correct
9 Correct 13 ms 14464 KB Output is correct
10 Correct 13 ms 14464 KB Output is correct
11 Correct 13 ms 14464 KB Output is correct
12 Correct 13 ms 14452 KB Output is correct
13 Correct 13 ms 14464 KB Output is correct
14 Correct 13 ms 14464 KB Output is correct
15 Correct 15 ms 14464 KB Output is correct
16 Correct 13 ms 14464 KB Output is correct
17 Correct 14 ms 14464 KB Output is correct
18 Correct 13 ms 14464 KB Output is correct
19 Correct 12 ms 14464 KB Output is correct
20 Correct 13 ms 14464 KB Output is correct
21 Correct 13 ms 14464 KB Output is correct
22 Correct 13 ms 14464 KB Output is correct
23 Correct 13 ms 14464 KB Output is correct
24 Correct 12 ms 14464 KB Output is correct
25 Correct 13 ms 14464 KB Output is correct
26 Correct 13 ms 14464 KB Output is correct
27 Correct 13 ms 14464 KB Output is correct
28 Correct 13 ms 14464 KB Output is correct
29 Correct 13 ms 14464 KB Output is correct
30 Correct 13 ms 14464 KB Output is correct
31 Correct 13 ms 14464 KB Output is correct
32 Correct 13 ms 14464 KB Output is correct
33 Correct 13 ms 14464 KB Output is correct
34 Correct 12 ms 14464 KB Output is correct
35 Correct 13 ms 14464 KB Output is correct
36 Correct 12 ms 14464 KB Output is correct
37 Correct 12 ms 14464 KB Output is correct
38 Correct 12 ms 14464 KB Output is correct
39 Correct 13 ms 14464 KB Output is correct
40 Correct 13 ms 14464 KB Output is correct
41 Correct 13 ms 14464 KB Output is correct
42 Correct 13 ms 14464 KB Output is correct
43 Correct 13 ms 14464 KB Output is correct
44 Correct 13 ms 14464 KB Output is correct
45 Correct 13 ms 14464 KB Output is correct
46 Correct 13 ms 14464 KB Output is correct
47 Correct 13 ms 14464 KB Output is correct
48 Correct 13 ms 14464 KB Output is correct
49 Correct 13 ms 14464 KB Output is correct
50 Correct 13 ms 14464 KB Output is correct
51 Correct 13 ms 14464 KB Output is correct
52 Correct 13 ms 14464 KB Output is correct
53 Correct 13 ms 14464 KB Output is correct
54 Correct 12 ms 14464 KB Output is correct
55 Correct 13 ms 14464 KB Output is correct
56 Correct 13 ms 14464 KB Output is correct
57 Correct 12 ms 14464 KB Output is correct
58 Correct 13 ms 14464 KB Output is correct
59 Correct 12 ms 14464 KB Output is correct
60 Correct 13 ms 14464 KB Output is correct
61 Correct 12 ms 14464 KB Output is correct
62 Correct 13 ms 14464 KB Output is correct
63 Correct 13 ms 14464 KB Output is correct
64 Correct 13 ms 14464 KB Output is correct
65 Correct 13 ms 14464 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 107 ms 37620 KB Output is correct
2 Correct 119 ms 37612 KB Output is correct
3 Correct 139 ms 36068 KB Output is correct
4 Correct 133 ms 37904 KB Output is correct
5 Correct 142 ms 32480 KB Output is correct
6 Correct 159 ms 37096 KB Output is correct
7 Correct 196 ms 41640 KB Output is correct
8 Correct 179 ms 41180 KB Output is correct
9 Correct 239 ms 47360 KB Output is correct
10 Correct 236 ms 43820 KB Output is correct
11 Runtime error 229 ms 92920 KB Execution killed with signal 11 (could be triggered by violating memory limits)
12 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 13 ms 14592 KB Output is correct
2 Correct 13 ms 14592 KB Output is correct
3 Correct 13 ms 14592 KB Output is correct
4 Correct 14 ms 14720 KB Output is correct
5 Correct 17 ms 14720 KB Output is correct
6 Correct 14 ms 14720 KB Output is correct
7 Correct 14 ms 14768 KB Output is correct
8 Correct 15 ms 14720 KB Output is correct
9 Correct 14 ms 14720 KB Output is correct
10 Correct 14 ms 14720 KB Output is correct
11 Correct 15 ms 14720 KB Output is correct
12 Correct 14 ms 14848 KB Output is correct
13 Correct 16 ms 14976 KB Output is correct
14 Correct 25 ms 17920 KB Output is correct
15 Correct 34 ms 20728 KB Output is correct
16 Correct 44 ms 23288 KB Output is correct
17 Correct 13 ms 14720 KB Output is correct
18 Correct 13 ms 14720 KB Output is correct
19 Correct 14 ms 14720 KB Output is correct
20 Correct 15 ms 14720 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 159 ms 33640 KB Output is correct
2 Correct 141 ms 33440 KB Output is correct
3 Correct 138 ms 33440 KB Output is correct
4 Correct 137 ms 33444 KB Output is correct
5 Correct 142 ms 33544 KB Output is correct
6 Correct 153 ms 42212 KB Output is correct
7 Correct 175 ms 39268 KB Output is correct
8 Correct 162 ms 37872 KB Output is correct
9 Correct 148 ms 36260 KB Output is correct
10 Correct 164 ms 35604 KB Output is correct
11 Correct 194 ms 41892 KB Output is correct
12 Correct 201 ms 42144 KB Output is correct
13 Runtime error 258 ms 92732 KB Execution killed with signal 11 (could be triggered by violating memory limits)
14 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 13 ms 14592 KB Output is correct
2 Correct 13 ms 14720 KB Output is correct
3 Correct 13 ms 14592 KB Output is correct
4 Correct 13 ms 14720 KB Output is correct
5 Correct 14 ms 14592 KB Output is correct
6 Correct 15 ms 14592 KB Output is correct
7 Correct 15 ms 14720 KB Output is correct
8 Correct 13 ms 14592 KB Output is correct
9 Correct 14 ms 14592 KB Output is correct
10 Correct 13 ms 14592 KB Output is correct
11 Correct 13 ms 14592 KB Output is correct
12 Correct 13 ms 14720 KB Output is correct
13 Correct 14 ms 14720 KB Output is correct
14 Correct 13 ms 14720 KB Output is correct
15 Correct 13 ms 14720 KB Output is correct
16 Correct 14 ms 14592 KB Output is correct
17 Correct 13 ms 14720 KB Output is correct
18 Correct 14 ms 14720 KB Output is correct
19 Correct 24 ms 17016 KB Output is correct
20 Correct 30 ms 18552 KB Output is correct
21 Correct 14 ms 14720 KB Output is correct
22 Correct 14 ms 14720 KB Output is correct
23 Correct 13 ms 14592 KB Output is correct
24 Correct 14 ms 14592 KB Output is correct
25 Correct 28 ms 18944 KB Output is correct
26 Correct 21 ms 17024 KB Output is correct
27 Correct 25 ms 15744 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 151 ms 33484 KB Output is correct
2 Correct 160 ms 33440 KB Output is correct
3 Correct 148 ms 31780 KB Output is correct
4 Correct 145 ms 29996 KB Output is correct
5 Correct 127 ms 27820 KB Output is correct
6 Correct 121 ms 26824 KB Output is correct
7 Correct 115 ms 26412 KB Output is correct
8 Correct 105 ms 25908 KB Output is correct
9 Correct 116 ms 25780 KB Output is correct
10 Correct 110 ms 25464 KB Output is correct
11 Correct 111 ms 25208 KB Output is correct
12 Correct 94 ms 25208 KB Output is correct
13 Correct 101 ms 25336 KB Output is correct
14 Correct 100 ms 28140 KB Output is correct
15 Correct 158 ms 38116 KB Output is correct
16 Correct 159 ms 36048 KB Output is correct
17 Correct 155 ms 36068 KB Output is correct
18 Correct 146 ms 34312 KB Output is correct
19 Correct 161 ms 32424 KB Output is correct
20 Correct 157 ms 33704 KB Output is correct
21 Correct 197 ms 36264 KB Output is correct
22 Runtime error 249 ms 94500 KB Execution killed with signal 11 (could be triggered by violating memory limits)
23 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 13 ms 14464 KB Output is correct
2 Correct 13 ms 14464 KB Output is correct
3 Correct 13 ms 14464 KB Output is correct
4 Correct 13 ms 14464 KB Output is correct
5 Correct 13 ms 14464 KB Output is correct
6 Correct 13 ms 14464 KB Output is correct
7 Correct 12 ms 14464 KB Output is correct
8 Correct 13 ms 14464 KB Output is correct
9 Correct 13 ms 14464 KB Output is correct
10 Correct 13 ms 14464 KB Output is correct
11 Correct 13 ms 14464 KB Output is correct
12 Correct 13 ms 14452 KB Output is correct
13 Correct 13 ms 14464 KB Output is correct
14 Correct 13 ms 14464 KB Output is correct
15 Correct 15 ms 14464 KB Output is correct
16 Correct 13 ms 14464 KB Output is correct
17 Correct 14 ms 14464 KB Output is correct
18 Correct 13 ms 14464 KB Output is correct
19 Correct 12 ms 14464 KB Output is correct
20 Correct 13 ms 14464 KB Output is correct
21 Correct 13 ms 14464 KB Output is correct
22 Correct 13 ms 14464 KB Output is correct
23 Correct 13 ms 14464 KB Output is correct
24 Correct 12 ms 14464 KB Output is correct
25 Correct 13 ms 14464 KB Output is correct
26 Correct 13 ms 14464 KB Output is correct
27 Correct 13 ms 14464 KB Output is correct
28 Correct 13 ms 14464 KB Output is correct
29 Correct 13 ms 14464 KB Output is correct
30 Correct 13 ms 14464 KB Output is correct
31 Correct 13 ms 14464 KB Output is correct
32 Correct 13 ms 14464 KB Output is correct
33 Correct 13 ms 14464 KB Output is correct
34 Correct 12 ms 14464 KB Output is correct
35 Correct 13 ms 14464 KB Output is correct
36 Correct 12 ms 14464 KB Output is correct
37 Correct 12 ms 14464 KB Output is correct
38 Correct 12 ms 14464 KB Output is correct
39 Correct 13 ms 14464 KB Output is correct
40 Correct 13 ms 14464 KB Output is correct
41 Correct 13 ms 14464 KB Output is correct
42 Correct 13 ms 14464 KB Output is correct
43 Correct 13 ms 14464 KB Output is correct
44 Correct 13 ms 14464 KB Output is correct
45 Correct 13 ms 14464 KB Output is correct
46 Correct 13 ms 14464 KB Output is correct
47 Correct 13 ms 14464 KB Output is correct
48 Correct 13 ms 14464 KB Output is correct
49 Correct 13 ms 14464 KB Output is correct
50 Correct 13 ms 14464 KB Output is correct
51 Correct 13 ms 14464 KB Output is correct
52 Correct 13 ms 14464 KB Output is correct
53 Correct 13 ms 14464 KB Output is correct
54 Correct 12 ms 14464 KB Output is correct
55 Correct 13 ms 14464 KB Output is correct
56 Correct 13 ms 14464 KB Output is correct
57 Correct 12 ms 14464 KB Output is correct
58 Correct 13 ms 14464 KB Output is correct
59 Correct 12 ms 14464 KB Output is correct
60 Correct 13 ms 14464 KB Output is correct
61 Correct 12 ms 14464 KB Output is correct
62 Correct 13 ms 14464 KB Output is correct
63 Correct 13 ms 14464 KB Output is correct
64 Correct 13 ms 14464 KB Output is correct
65 Correct 13 ms 14464 KB Output is correct
66 Correct 12 ms 14464 KB Output is correct
67 Correct 51 ms 24312 KB Output is correct
68 Correct 32 ms 18936 KB Output is correct
69 Correct 24 ms 16128 KB Output is correct
70 Correct 18 ms 15104 KB Output is correct
71 Correct 33 ms 19900 KB Output is correct
72 Correct 32 ms 19448 KB Output is correct
73 Correct 32 ms 19200 KB Output is correct
74 Correct 29 ms 18560 KB Output is correct
75 Correct 31 ms 18304 KB Output is correct
76 Correct 13 ms 14464 KB Output is correct
77 Correct 14 ms 14720 KB Output is correct
78 Correct 13 ms 14592 KB Output is correct
79 Correct 13 ms 14592 KB Output is correct
80 Correct 13 ms 14592 KB Output is correct
81 Correct 14 ms 14592 KB Output is correct
82 Correct 13 ms 14720 KB Output is correct
83 Correct 13 ms 14720 KB Output is correct
84 Correct 13 ms 14720 KB Output is correct
85 Correct 14 ms 14720 KB Output is correct
86 Correct 14 ms 14592 KB Output is correct
87 Correct 13 ms 14592 KB Output is correct
88 Correct 14 ms 14720 KB Output is correct
89 Correct 24 ms 16512 KB Output is correct
90 Correct 26 ms 17536 KB Output is correct
91 Correct 13 ms 14592 KB Output is correct
92 Correct 14 ms 14588 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 13 ms 14464 KB Output is correct
2 Correct 13 ms 14464 KB Output is correct
3 Correct 13 ms 14464 KB Output is correct
4 Correct 13 ms 14464 KB Output is correct
5 Correct 13 ms 14464 KB Output is correct
6 Correct 13 ms 14464 KB Output is correct
7 Correct 12 ms 14464 KB Output is correct
8 Correct 13 ms 14464 KB Output is correct
9 Correct 13 ms 14464 KB Output is correct
10 Correct 13 ms 14464 KB Output is correct
11 Correct 13 ms 14464 KB Output is correct
12 Correct 13 ms 14452 KB Output is correct
13 Correct 13 ms 14464 KB Output is correct
14 Correct 13 ms 14464 KB Output is correct
15 Correct 15 ms 14464 KB Output is correct
16 Correct 13 ms 14464 KB Output is correct
17 Correct 14 ms 14464 KB Output is correct
18 Correct 13 ms 14464 KB Output is correct
19 Correct 12 ms 14464 KB Output is correct
20 Correct 13 ms 14464 KB Output is correct
21 Correct 13 ms 14464 KB Output is correct
22 Correct 13 ms 14464 KB Output is correct
23 Correct 13 ms 14464 KB Output is correct
24 Correct 12 ms 14464 KB Output is correct
25 Correct 13 ms 14464 KB Output is correct
26 Correct 13 ms 14464 KB Output is correct
27 Correct 13 ms 14464 KB Output is correct
28 Correct 13 ms 14464 KB Output is correct
29 Correct 13 ms 14464 KB Output is correct
30 Correct 13 ms 14464 KB Output is correct
31 Correct 13 ms 14464 KB Output is correct
32 Correct 13 ms 14464 KB Output is correct
33 Correct 13 ms 14464 KB Output is correct
34 Correct 12 ms 14464 KB Output is correct
35 Correct 13 ms 14464 KB Output is correct
36 Correct 12 ms 14464 KB Output is correct
37 Correct 12 ms 14464 KB Output is correct
38 Correct 12 ms 14464 KB Output is correct
39 Correct 13 ms 14464 KB Output is correct
40 Correct 13 ms 14464 KB Output is correct
41 Correct 13 ms 14464 KB Output is correct
42 Correct 13 ms 14464 KB Output is correct
43 Correct 13 ms 14464 KB Output is correct
44 Correct 13 ms 14464 KB Output is correct
45 Correct 13 ms 14464 KB Output is correct
46 Correct 13 ms 14464 KB Output is correct
47 Correct 13 ms 14464 KB Output is correct
48 Correct 13 ms 14464 KB Output is correct
49 Correct 13 ms 14464 KB Output is correct
50 Correct 13 ms 14464 KB Output is correct
51 Correct 13 ms 14464 KB Output is correct
52 Correct 13 ms 14464 KB Output is correct
53 Correct 13 ms 14464 KB Output is correct
54 Correct 12 ms 14464 KB Output is correct
55 Correct 13 ms 14464 KB Output is correct
56 Correct 13 ms 14464 KB Output is correct
57 Correct 12 ms 14464 KB Output is correct
58 Correct 13 ms 14464 KB Output is correct
59 Correct 12 ms 14464 KB Output is correct
60 Correct 13 ms 14464 KB Output is correct
61 Correct 12 ms 14464 KB Output is correct
62 Correct 13 ms 14464 KB Output is correct
63 Correct 13 ms 14464 KB Output is correct
64 Correct 13 ms 14464 KB Output is correct
65 Correct 13 ms 14464 KB Output is correct
66 Correct 107 ms 37620 KB Output is correct
67 Correct 119 ms 37612 KB Output is correct
68 Correct 139 ms 36068 KB Output is correct
69 Correct 133 ms 37904 KB Output is correct
70 Correct 142 ms 32480 KB Output is correct
71 Correct 159 ms 37096 KB Output is correct
72 Correct 196 ms 41640 KB Output is correct
73 Correct 179 ms 41180 KB Output is correct
74 Correct 239 ms 47360 KB Output is correct
75 Correct 236 ms 43820 KB Output is correct
76 Runtime error 229 ms 92920 KB Execution killed with signal 11 (could be triggered by violating memory limits)
77 Halted 0 ms 0 KB -