답안 #855666

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
855666 2023-10-01T16:12:07 Z Trisanu_Das Graph (BOI20_graph) C++17
100 / 100
110 ms 27296 KB
#include <bits/stdc++.h>
using namespace std;
#define ff first
#define ss second
#define int long long
 
double EPS = 1e-8;
 
vector<pair<int, bool>> adj[100000];
int n, m, c[100000];
double x = 1e18, ans[100000];
bool s[100000], vis[100000], ok = true;
vector<int> comp;
 
void dfs(int u){
	vis[u] = 1; comp.push_back(u);
	for(auto &[v, w] : adj[u]){
		if(!vis[v]){
			s[v] = !s[u];
			c[v] = (2 - (int)w) - c[u];
			dfs(v);
		}else if(s[u] == s[v]) x = ((2 - (int)w) - c[u] - c[v]) / (s[u] ? -2.0 : 2.0);
	}
}
 
signed main(){
	ios_base::sync_with_stdio(false); cin.tie(NULL);
	cin >> n >> m;
	while(m--){
		int u, v, w; cin >> u >> v >> w;
		--u, --v;
		adj[u].emplace_back(v, w & 1);
		adj[v].emplace_back(u, w & 1);
	}
	for(int z = 0; z < n && ok; z++){
		if(vis[z]) continue;
		comp.clear(); x = 1e18; dfs(z);
		if(x > 1e17){
			vector<int> v;
			for(int i : comp) v.push_back(s[i] ? c[i] : -c[i]);
			sort(v.begin(), v.end());
			x = v[(int)v.size() / 2];
		}
		for(int i : comp) ans[i] = (c[i] + (s[i] ? -x : x));
	}
	for(int u = 0; u < n; u++) for(auto &[v, w] : adj[u]) ok = ok && (abs((2 - (int)w) - ans[u] - ans[v]) < EPS);
	if(!ok) cout << "NO\n";
	else{
		cout << "YES\n";
		cout << setprecision(1) << fixed;
		for(int i = 0; i < n; i++) cout << ans[i] << ' ';
	}
}
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 4188 KB answer = YES
2 Correct 1 ms 4400 KB answer = YES
3 Correct 1 ms 4188 KB answer = YES
4 Correct 1 ms 4392 KB answer = NO
5 Correct 2 ms 4444 KB answer = YES
6 Correct 1 ms 4188 KB answer = YES
7 Correct 2 ms 4188 KB answer = YES
8 Correct 2 ms 4184 KB answer = YES
9 Correct 2 ms 4440 KB answer = NO
10 Correct 1 ms 4188 KB answer = YES
11 Correct 1 ms 4188 KB answer = YES
12 Correct 1 ms 4188 KB answer = NO
13 Correct 1 ms 4188 KB answer = YES
14 Correct 1 ms 4188 KB answer = YES
15 Correct 1 ms 4396 KB answer = YES
16 Correct 1 ms 4188 KB answer = YES
17 Correct 1 ms 4188 KB answer = YES
18 Correct 2 ms 4188 KB answer = YES
19 Correct 1 ms 4184 KB answer = YES
20 Correct 1 ms 4188 KB answer = YES
21 Correct 1 ms 4188 KB answer = YES
22 Correct 2 ms 4188 KB answer = NO
23 Correct 1 ms 4188 KB answer = NO
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 4188 KB answer = YES
2 Correct 1 ms 4400 KB answer = YES
3 Correct 1 ms 4188 KB answer = YES
4 Correct 1 ms 4392 KB answer = NO
5 Correct 2 ms 4444 KB answer = YES
6 Correct 1 ms 4188 KB answer = YES
7 Correct 2 ms 4188 KB answer = YES
8 Correct 2 ms 4184 KB answer = YES
9 Correct 2 ms 4440 KB answer = NO
10 Correct 1 ms 4188 KB answer = YES
11 Correct 1 ms 4188 KB answer = YES
12 Correct 1 ms 4188 KB answer = NO
13 Correct 1 ms 4188 KB answer = YES
14 Correct 1 ms 4188 KB answer = YES
15 Correct 1 ms 4396 KB answer = YES
16 Correct 1 ms 4188 KB answer = YES
17 Correct 1 ms 4188 KB answer = YES
18 Correct 2 ms 4188 KB answer = YES
19 Correct 1 ms 4184 KB answer = YES
20 Correct 1 ms 4188 KB answer = YES
21 Correct 1 ms 4188 KB answer = YES
22 Correct 2 ms 4188 KB answer = NO
23 Correct 1 ms 4188 KB answer = NO
24 Correct 2 ms 4392 KB answer = YES
25 Correct 1 ms 4188 KB answer = YES
26 Correct 1 ms 4188 KB answer = YES
27 Correct 1 ms 4188 KB answer = YES
28 Correct 2 ms 4188 KB answer = YES
29 Correct 1 ms 4188 KB answer = YES
30 Correct 2 ms 4188 KB answer = NO
31 Correct 1 ms 4188 KB answer = YES
32 Correct 1 ms 4184 KB answer = YES
33 Correct 1 ms 4184 KB answer = YES
34 Correct 2 ms 4188 KB answer = YES
35 Correct 1 ms 4188 KB answer = YES
36 Correct 2 ms 4188 KB answer = YES
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 4188 KB answer = YES
2 Correct 1 ms 4400 KB answer = YES
3 Correct 1 ms 4188 KB answer = YES
4 Correct 1 ms 4392 KB answer = NO
5 Correct 2 ms 4444 KB answer = YES
6 Correct 1 ms 4188 KB answer = YES
7 Correct 2 ms 4188 KB answer = YES
8 Correct 2 ms 4184 KB answer = YES
9 Correct 2 ms 4440 KB answer = NO
10 Correct 1 ms 4188 KB answer = YES
11 Correct 1 ms 4188 KB answer = YES
12 Correct 1 ms 4188 KB answer = NO
13 Correct 1 ms 4188 KB answer = YES
14 Correct 1 ms 4188 KB answer = YES
15 Correct 1 ms 4396 KB answer = YES
16 Correct 1 ms 4188 KB answer = YES
17 Correct 1 ms 4188 KB answer = YES
18 Correct 2 ms 4188 KB answer = YES
19 Correct 1 ms 4184 KB answer = YES
20 Correct 1 ms 4188 KB answer = YES
21 Correct 1 ms 4188 KB answer = YES
22 Correct 2 ms 4188 KB answer = NO
23 Correct 1 ms 4188 KB answer = NO
24 Correct 2 ms 4392 KB answer = YES
25 Correct 1 ms 4188 KB answer = YES
26 Correct 1 ms 4188 KB answer = YES
27 Correct 1 ms 4188 KB answer = YES
28 Correct 2 ms 4188 KB answer = YES
29 Correct 1 ms 4188 KB answer = YES
30 Correct 2 ms 4188 KB answer = NO
31 Correct 1 ms 4188 KB answer = YES
32 Correct 1 ms 4184 KB answer = YES
33 Correct 1 ms 4184 KB answer = YES
34 Correct 2 ms 4188 KB answer = YES
35 Correct 1 ms 4188 KB answer = YES
36 Correct 2 ms 4188 KB answer = YES
37 Correct 1 ms 4188 KB answer = YES
38 Correct 1 ms 4396 KB answer = YES
39 Correct 2 ms 4444 KB answer = YES
40 Correct 2 ms 4444 KB answer = YES
41 Correct 1 ms 4444 KB answer = NO
42 Correct 2 ms 4444 KB answer = YES
43 Correct 2 ms 4444 KB answer = YES
44 Correct 2 ms 4444 KB answer = YES
45 Correct 2 ms 4444 KB answer = YES
46 Correct 2 ms 4440 KB answer = YES
47 Correct 2 ms 4444 KB answer = YES
48 Correct 2 ms 4444 KB answer = YES
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 4188 KB answer = YES
2 Correct 1 ms 4400 KB answer = YES
3 Correct 1 ms 4188 KB answer = YES
4 Correct 1 ms 4392 KB answer = NO
5 Correct 2 ms 4444 KB answer = YES
6 Correct 1 ms 4188 KB answer = YES
7 Correct 2 ms 4188 KB answer = YES
8 Correct 2 ms 4184 KB answer = YES
9 Correct 2 ms 4440 KB answer = NO
10 Correct 1 ms 4188 KB answer = YES
11 Correct 1 ms 4188 KB answer = YES
12 Correct 1 ms 4188 KB answer = NO
13 Correct 1 ms 4188 KB answer = YES
14 Correct 1 ms 4188 KB answer = YES
15 Correct 1 ms 4396 KB answer = YES
16 Correct 1 ms 4188 KB answer = YES
17 Correct 1 ms 4188 KB answer = YES
18 Correct 2 ms 4188 KB answer = YES
19 Correct 1 ms 4184 KB answer = YES
20 Correct 1 ms 4188 KB answer = YES
21 Correct 1 ms 4188 KB answer = YES
22 Correct 2 ms 4188 KB answer = NO
23 Correct 1 ms 4188 KB answer = NO
24 Correct 2 ms 4392 KB answer = YES
25 Correct 1 ms 4188 KB answer = YES
26 Correct 1 ms 4188 KB answer = YES
27 Correct 1 ms 4188 KB answer = YES
28 Correct 2 ms 4188 KB answer = YES
29 Correct 1 ms 4188 KB answer = YES
30 Correct 2 ms 4188 KB answer = NO
31 Correct 1 ms 4188 KB answer = YES
32 Correct 1 ms 4184 KB answer = YES
33 Correct 1 ms 4184 KB answer = YES
34 Correct 2 ms 4188 KB answer = YES
35 Correct 1 ms 4188 KB answer = YES
36 Correct 2 ms 4188 KB answer = YES
37 Correct 1 ms 4188 KB answer = YES
38 Correct 1 ms 4396 KB answer = YES
39 Correct 2 ms 4444 KB answer = YES
40 Correct 2 ms 4444 KB answer = YES
41 Correct 1 ms 4444 KB answer = NO
42 Correct 2 ms 4444 KB answer = YES
43 Correct 2 ms 4444 KB answer = YES
44 Correct 2 ms 4444 KB answer = YES
45 Correct 2 ms 4444 KB answer = YES
46 Correct 2 ms 4440 KB answer = YES
47 Correct 2 ms 4444 KB answer = YES
48 Correct 2 ms 4444 KB answer = YES
49 Correct 7 ms 5208 KB answer = YES
50 Correct 8 ms 5472 KB answer = YES
51 Correct 7 ms 5724 KB answer = YES
52 Correct 4 ms 5724 KB answer = NO
53 Correct 2 ms 4444 KB answer = YES
54 Correct 3 ms 4444 KB answer = YES
55 Correct 4 ms 4700 KB answer = YES
56 Correct 7 ms 5212 KB answer = YES
57 Correct 7 ms 4956 KB answer = YES
58 Correct 7 ms 4956 KB answer = YES
59 Correct 7 ms 4952 KB answer = YES
60 Correct 7 ms 5212 KB answer = YES
61 Correct 4 ms 4700 KB answer = YES
62 Correct 46 ms 16332 KB answer = NO
63 Correct 46 ms 16468 KB answer = YES
64 Correct 46 ms 16564 KB answer = NO
65 Correct 47 ms 16476 KB answer = YES
66 Correct 3 ms 4440 KB answer = YES
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 4188 KB answer = YES
2 Correct 1 ms 4400 KB answer = YES
3 Correct 1 ms 4188 KB answer = YES
4 Correct 1 ms 4392 KB answer = NO
5 Correct 2 ms 4444 KB answer = YES
6 Correct 1 ms 4188 KB answer = YES
7 Correct 2 ms 4188 KB answer = YES
8 Correct 2 ms 4184 KB answer = YES
9 Correct 2 ms 4440 KB answer = NO
10 Correct 1 ms 4188 KB answer = YES
11 Correct 1 ms 4188 KB answer = YES
12 Correct 1 ms 4188 KB answer = NO
13 Correct 1 ms 4188 KB answer = YES
14 Correct 1 ms 4188 KB answer = YES
15 Correct 1 ms 4396 KB answer = YES
16 Correct 1 ms 4188 KB answer = YES
17 Correct 1 ms 4188 KB answer = YES
18 Correct 2 ms 4188 KB answer = YES
19 Correct 1 ms 4184 KB answer = YES
20 Correct 1 ms 4188 KB answer = YES
21 Correct 1 ms 4188 KB answer = YES
22 Correct 2 ms 4188 KB answer = NO
23 Correct 1 ms 4188 KB answer = NO
24 Correct 2 ms 4392 KB answer = YES
25 Correct 1 ms 4188 KB answer = YES
26 Correct 1 ms 4188 KB answer = YES
27 Correct 1 ms 4188 KB answer = YES
28 Correct 2 ms 4188 KB answer = YES
29 Correct 1 ms 4188 KB answer = YES
30 Correct 2 ms 4188 KB answer = NO
31 Correct 1 ms 4188 KB answer = YES
32 Correct 1 ms 4184 KB answer = YES
33 Correct 1 ms 4184 KB answer = YES
34 Correct 2 ms 4188 KB answer = YES
35 Correct 1 ms 4188 KB answer = YES
36 Correct 2 ms 4188 KB answer = YES
37 Correct 1 ms 4188 KB answer = YES
38 Correct 1 ms 4396 KB answer = YES
39 Correct 2 ms 4444 KB answer = YES
40 Correct 2 ms 4444 KB answer = YES
41 Correct 1 ms 4444 KB answer = NO
42 Correct 2 ms 4444 KB answer = YES
43 Correct 2 ms 4444 KB answer = YES
44 Correct 2 ms 4444 KB answer = YES
45 Correct 2 ms 4444 KB answer = YES
46 Correct 2 ms 4440 KB answer = YES
47 Correct 2 ms 4444 KB answer = YES
48 Correct 2 ms 4444 KB answer = YES
49 Correct 7 ms 5208 KB answer = YES
50 Correct 8 ms 5472 KB answer = YES
51 Correct 7 ms 5724 KB answer = YES
52 Correct 4 ms 5724 KB answer = NO
53 Correct 2 ms 4444 KB answer = YES
54 Correct 3 ms 4444 KB answer = YES
55 Correct 4 ms 4700 KB answer = YES
56 Correct 7 ms 5212 KB answer = YES
57 Correct 7 ms 4956 KB answer = YES
58 Correct 7 ms 4956 KB answer = YES
59 Correct 7 ms 4952 KB answer = YES
60 Correct 7 ms 5212 KB answer = YES
61 Correct 4 ms 4700 KB answer = YES
62 Correct 46 ms 16332 KB answer = NO
63 Correct 46 ms 16468 KB answer = YES
64 Correct 46 ms 16564 KB answer = NO
65 Correct 47 ms 16476 KB answer = YES
66 Correct 3 ms 4440 KB answer = YES
67 Correct 68 ms 20520 KB answer = YES
68 Correct 65 ms 20680 KB answer = YES
69 Correct 62 ms 19736 KB answer = YES
70 Correct 89 ms 27296 KB answer = YES
71 Correct 60 ms 19672 KB answer = YES
72 Correct 66 ms 13244 KB answer = YES
73 Correct 60 ms 12236 KB answer = YES
74 Correct 45 ms 13268 KB answer = YES
75 Correct 23 ms 13520 KB answer = NO
76 Correct 8 ms 5468 KB answer = YES
77 Correct 16 ms 6520 KB answer = YES
78 Correct 27 ms 8168 KB answer = YES
79 Correct 55 ms 12236 KB answer = YES
80 Correct 47 ms 13528 KB answer = YES
81 Correct 33 ms 15568 KB answer = NO
82 Correct 74 ms 19404 KB answer = YES
83 Correct 79 ms 20484 KB answer = YES
84 Correct 81 ms 21188 KB answer = YES
85 Correct 68 ms 20984 KB answer = YES
86 Correct 65 ms 19656 KB answer = YES
87 Correct 39 ms 14208 KB answer = NO
88 Correct 80 ms 15304 KB answer = YES
89 Correct 60 ms 10960 KB answer = YES
90 Correct 60 ms 10832 KB answer = YES
91 Correct 85 ms 11500 KB answer = YES
92 Correct 32 ms 8312 KB answer = YES
93 Correct 31 ms 8344 KB answer = YES
94 Correct 58 ms 21136 KB answer = NO
95 Correct 44 ms 11000 KB answer = NO
96 Correct 110 ms 23560 KB answer = YES
97 Correct 33 ms 20688 KB answer = NO