Submission #442735

# Submission time Handle Problem Language Result Execution time Memory
442735 2021-07-08T19:45:54 Z dutch Graph (BOI20_graph) C++17
100 / 100
203 ms 27160 KB
#include <bits/stdc++.h>
using namespace std;
#define int long long

const int MAXN = 1e5;
double EPS = 1e-8;

vector<pair<int, bool>> g[MAXN];
int n, m, c[MAXN];
double x = 1e18, r[MAXN];
bool s[MAXN], vis[MAXN], ok = 1;
vector<int> comp;

void dfs(int u){
	vis[u] = 1; comp.push_back(u);
	for(auto &[v, w] : g[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(){
	cin.tie(0)->sync_with_stdio(0);
	cin >> n >> m;
	while(m--){
		int u, v, w; cin >> u >> v >> w;
		--u, --v;
		g[u].emplace_back(v, w&1);
		g[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) r[i] = (c[i] + (s[i] ? -x : x));
	}
	for(int u=0; u<n; ++u)
		for(auto &[v, w] : g[u])
			ok = ok && abs((2 - (int)w) - r[u] - r[v]) < EPS;

	if(!ok) cout << "NO\n";
	else{
		cout << "YES\n";
		cout << setprecision(1) << fixed;
		for(int i=0; i<n; ++i) cout << r[i] << ' ';
	}
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB answer = YES
2 Correct 2 ms 2672 KB answer = YES
3 Correct 2 ms 2636 KB answer = YES
4 Correct 2 ms 2636 KB answer = NO
5 Correct 2 ms 2668 KB answer = YES
6 Correct 2 ms 2636 KB answer = YES
7 Correct 2 ms 2636 KB answer = YES
8 Correct 2 ms 2636 KB answer = YES
9 Correct 2 ms 2636 KB answer = NO
10 Correct 2 ms 2636 KB answer = YES
11 Correct 2 ms 2596 KB answer = YES
12 Correct 2 ms 2636 KB answer = NO
13 Correct 2 ms 2636 KB answer = YES
14 Correct 2 ms 2636 KB answer = YES
15 Correct 2 ms 2636 KB answer = YES
16 Correct 2 ms 2636 KB answer = YES
17 Correct 2 ms 2636 KB answer = YES
18 Correct 2 ms 2672 KB answer = YES
19 Correct 2 ms 2636 KB answer = YES
20 Correct 2 ms 2636 KB answer = YES
21 Correct 2 ms 2672 KB answer = YES
22 Correct 2 ms 2636 KB answer = NO
23 Correct 2 ms 2636 KB answer = NO
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB answer = YES
2 Correct 2 ms 2672 KB answer = YES
3 Correct 2 ms 2636 KB answer = YES
4 Correct 2 ms 2636 KB answer = NO
5 Correct 2 ms 2668 KB answer = YES
6 Correct 2 ms 2636 KB answer = YES
7 Correct 2 ms 2636 KB answer = YES
8 Correct 2 ms 2636 KB answer = YES
9 Correct 2 ms 2636 KB answer = NO
10 Correct 2 ms 2636 KB answer = YES
11 Correct 2 ms 2596 KB answer = YES
12 Correct 2 ms 2636 KB answer = NO
13 Correct 2 ms 2636 KB answer = YES
14 Correct 2 ms 2636 KB answer = YES
15 Correct 2 ms 2636 KB answer = YES
16 Correct 2 ms 2636 KB answer = YES
17 Correct 2 ms 2636 KB answer = YES
18 Correct 2 ms 2672 KB answer = YES
19 Correct 2 ms 2636 KB answer = YES
20 Correct 2 ms 2636 KB answer = YES
21 Correct 2 ms 2672 KB answer = YES
22 Correct 2 ms 2636 KB answer = NO
23 Correct 2 ms 2636 KB answer = NO
24 Correct 2 ms 2636 KB answer = YES
25 Correct 2 ms 2636 KB answer = YES
26 Correct 2 ms 2636 KB answer = YES
27 Correct 2 ms 2668 KB answer = YES
28 Correct 2 ms 2636 KB answer = YES
29 Correct 2 ms 2636 KB answer = YES
30 Correct 2 ms 2672 KB answer = NO
31 Correct 2 ms 2636 KB answer = YES
32 Correct 2 ms 2636 KB answer = YES
33 Correct 2 ms 2636 KB answer = YES
34 Correct 2 ms 2636 KB answer = YES
35 Correct 2 ms 2636 KB answer = YES
36 Correct 2 ms 2636 KB answer = YES
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB answer = YES
2 Correct 2 ms 2672 KB answer = YES
3 Correct 2 ms 2636 KB answer = YES
4 Correct 2 ms 2636 KB answer = NO
5 Correct 2 ms 2668 KB answer = YES
6 Correct 2 ms 2636 KB answer = YES
7 Correct 2 ms 2636 KB answer = YES
8 Correct 2 ms 2636 KB answer = YES
9 Correct 2 ms 2636 KB answer = NO
10 Correct 2 ms 2636 KB answer = YES
11 Correct 2 ms 2596 KB answer = YES
12 Correct 2 ms 2636 KB answer = NO
13 Correct 2 ms 2636 KB answer = YES
14 Correct 2 ms 2636 KB answer = YES
15 Correct 2 ms 2636 KB answer = YES
16 Correct 2 ms 2636 KB answer = YES
17 Correct 2 ms 2636 KB answer = YES
18 Correct 2 ms 2672 KB answer = YES
19 Correct 2 ms 2636 KB answer = YES
20 Correct 2 ms 2636 KB answer = YES
21 Correct 2 ms 2672 KB answer = YES
22 Correct 2 ms 2636 KB answer = NO
23 Correct 2 ms 2636 KB answer = NO
24 Correct 2 ms 2636 KB answer = YES
25 Correct 2 ms 2636 KB answer = YES
26 Correct 2 ms 2636 KB answer = YES
27 Correct 2 ms 2668 KB answer = YES
28 Correct 2 ms 2636 KB answer = YES
29 Correct 2 ms 2636 KB answer = YES
30 Correct 2 ms 2672 KB answer = NO
31 Correct 2 ms 2636 KB answer = YES
32 Correct 2 ms 2636 KB answer = YES
33 Correct 2 ms 2636 KB answer = YES
34 Correct 2 ms 2636 KB answer = YES
35 Correct 2 ms 2636 KB answer = YES
36 Correct 2 ms 2636 KB answer = YES
37 Correct 3 ms 2636 KB answer = YES
38 Correct 2 ms 2636 KB answer = YES
39 Correct 2 ms 2636 KB answer = YES
40 Correct 3 ms 2764 KB answer = YES
41 Correct 2 ms 2764 KB answer = NO
42 Correct 3 ms 2764 KB answer = YES
43 Correct 3 ms 2764 KB answer = YES
44 Correct 3 ms 2780 KB answer = YES
45 Correct 3 ms 2764 KB answer = YES
46 Correct 2 ms 2636 KB answer = YES
47 Correct 3 ms 2764 KB answer = YES
48 Correct 3 ms 2764 KB answer = YES
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB answer = YES
2 Correct 2 ms 2672 KB answer = YES
3 Correct 2 ms 2636 KB answer = YES
4 Correct 2 ms 2636 KB answer = NO
5 Correct 2 ms 2668 KB answer = YES
6 Correct 2 ms 2636 KB answer = YES
7 Correct 2 ms 2636 KB answer = YES
8 Correct 2 ms 2636 KB answer = YES
9 Correct 2 ms 2636 KB answer = NO
10 Correct 2 ms 2636 KB answer = YES
11 Correct 2 ms 2596 KB answer = YES
12 Correct 2 ms 2636 KB answer = NO
13 Correct 2 ms 2636 KB answer = YES
14 Correct 2 ms 2636 KB answer = YES
15 Correct 2 ms 2636 KB answer = YES
16 Correct 2 ms 2636 KB answer = YES
17 Correct 2 ms 2636 KB answer = YES
18 Correct 2 ms 2672 KB answer = YES
19 Correct 2 ms 2636 KB answer = YES
20 Correct 2 ms 2636 KB answer = YES
21 Correct 2 ms 2672 KB answer = YES
22 Correct 2 ms 2636 KB answer = NO
23 Correct 2 ms 2636 KB answer = NO
24 Correct 2 ms 2636 KB answer = YES
25 Correct 2 ms 2636 KB answer = YES
26 Correct 2 ms 2636 KB answer = YES
27 Correct 2 ms 2668 KB answer = YES
28 Correct 2 ms 2636 KB answer = YES
29 Correct 2 ms 2636 KB answer = YES
30 Correct 2 ms 2672 KB answer = NO
31 Correct 2 ms 2636 KB answer = YES
32 Correct 2 ms 2636 KB answer = YES
33 Correct 2 ms 2636 KB answer = YES
34 Correct 2 ms 2636 KB answer = YES
35 Correct 2 ms 2636 KB answer = YES
36 Correct 2 ms 2636 KB answer = YES
37 Correct 3 ms 2636 KB answer = YES
38 Correct 2 ms 2636 KB answer = YES
39 Correct 2 ms 2636 KB answer = YES
40 Correct 3 ms 2764 KB answer = YES
41 Correct 2 ms 2764 KB answer = NO
42 Correct 3 ms 2764 KB answer = YES
43 Correct 3 ms 2764 KB answer = YES
44 Correct 3 ms 2780 KB answer = YES
45 Correct 3 ms 2764 KB answer = YES
46 Correct 2 ms 2636 KB answer = YES
47 Correct 3 ms 2764 KB answer = YES
48 Correct 3 ms 2764 KB answer = YES
49 Correct 11 ms 3740 KB answer = YES
50 Correct 16 ms 4056 KB answer = YES
51 Correct 16 ms 4036 KB answer = YES
52 Correct 7 ms 4092 KB answer = NO
53 Correct 3 ms 2764 KB answer = YES
54 Correct 4 ms 2892 KB answer = YES
55 Correct 6 ms 3148 KB answer = YES
56 Correct 11 ms 3708 KB answer = YES
57 Correct 11 ms 3580 KB answer = YES
58 Correct 10 ms 3532 KB answer = YES
59 Correct 10 ms 3516 KB answer = YES
60 Correct 12 ms 3680 KB answer = YES
61 Correct 7 ms 3148 KB answer = YES
62 Correct 80 ms 14916 KB answer = NO
63 Correct 85 ms 14888 KB answer = YES
64 Correct 78 ms 14948 KB answer = NO
65 Correct 81 ms 14960 KB answer = YES
66 Correct 4 ms 2764 KB answer = YES
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB answer = YES
2 Correct 2 ms 2672 KB answer = YES
3 Correct 2 ms 2636 KB answer = YES
4 Correct 2 ms 2636 KB answer = NO
5 Correct 2 ms 2668 KB answer = YES
6 Correct 2 ms 2636 KB answer = YES
7 Correct 2 ms 2636 KB answer = YES
8 Correct 2 ms 2636 KB answer = YES
9 Correct 2 ms 2636 KB answer = NO
10 Correct 2 ms 2636 KB answer = YES
11 Correct 2 ms 2596 KB answer = YES
12 Correct 2 ms 2636 KB answer = NO
13 Correct 2 ms 2636 KB answer = YES
14 Correct 2 ms 2636 KB answer = YES
15 Correct 2 ms 2636 KB answer = YES
16 Correct 2 ms 2636 KB answer = YES
17 Correct 2 ms 2636 KB answer = YES
18 Correct 2 ms 2672 KB answer = YES
19 Correct 2 ms 2636 KB answer = YES
20 Correct 2 ms 2636 KB answer = YES
21 Correct 2 ms 2672 KB answer = YES
22 Correct 2 ms 2636 KB answer = NO
23 Correct 2 ms 2636 KB answer = NO
24 Correct 2 ms 2636 KB answer = YES
25 Correct 2 ms 2636 KB answer = YES
26 Correct 2 ms 2636 KB answer = YES
27 Correct 2 ms 2668 KB answer = YES
28 Correct 2 ms 2636 KB answer = YES
29 Correct 2 ms 2636 KB answer = YES
30 Correct 2 ms 2672 KB answer = NO
31 Correct 2 ms 2636 KB answer = YES
32 Correct 2 ms 2636 KB answer = YES
33 Correct 2 ms 2636 KB answer = YES
34 Correct 2 ms 2636 KB answer = YES
35 Correct 2 ms 2636 KB answer = YES
36 Correct 2 ms 2636 KB answer = YES
37 Correct 3 ms 2636 KB answer = YES
38 Correct 2 ms 2636 KB answer = YES
39 Correct 2 ms 2636 KB answer = YES
40 Correct 3 ms 2764 KB answer = YES
41 Correct 2 ms 2764 KB answer = NO
42 Correct 3 ms 2764 KB answer = YES
43 Correct 3 ms 2764 KB answer = YES
44 Correct 3 ms 2780 KB answer = YES
45 Correct 3 ms 2764 KB answer = YES
46 Correct 2 ms 2636 KB answer = YES
47 Correct 3 ms 2764 KB answer = YES
48 Correct 3 ms 2764 KB answer = YES
49 Correct 11 ms 3740 KB answer = YES
50 Correct 16 ms 4056 KB answer = YES
51 Correct 16 ms 4036 KB answer = YES
52 Correct 7 ms 4092 KB answer = NO
53 Correct 3 ms 2764 KB answer = YES
54 Correct 4 ms 2892 KB answer = YES
55 Correct 6 ms 3148 KB answer = YES
56 Correct 11 ms 3708 KB answer = YES
57 Correct 11 ms 3580 KB answer = YES
58 Correct 10 ms 3532 KB answer = YES
59 Correct 10 ms 3516 KB answer = YES
60 Correct 12 ms 3680 KB answer = YES
61 Correct 7 ms 3148 KB answer = YES
62 Correct 80 ms 14916 KB answer = NO
63 Correct 85 ms 14888 KB answer = YES
64 Correct 78 ms 14948 KB answer = NO
65 Correct 81 ms 14960 KB answer = YES
66 Correct 4 ms 2764 KB answer = YES
67 Correct 117 ms 19712 KB answer = YES
68 Correct 91 ms 19896 KB answer = YES
69 Correct 90 ms 19584 KB answer = YES
70 Correct 132 ms 27160 KB answer = YES
71 Correct 91 ms 19696 KB answer = YES
72 Correct 113 ms 12476 KB answer = YES
73 Correct 107 ms 12248 KB answer = YES
74 Correct 72 ms 12736 KB answer = YES
75 Correct 42 ms 12460 KB answer = NO
76 Correct 13 ms 3944 KB answer = YES
77 Correct 28 ms 5128 KB answer = YES
78 Correct 44 ms 6936 KB answer = YES
79 Correct 91 ms 11192 KB answer = YES
80 Correct 73 ms 12688 KB answer = YES
81 Correct 54 ms 15444 KB answer = NO
82 Correct 115 ms 18968 KB answer = YES
83 Correct 165 ms 20304 KB answer = YES
84 Correct 129 ms 20352 KB answer = YES
85 Correct 117 ms 19768 KB answer = YES
86 Correct 97 ms 19632 KB answer = YES
87 Correct 93 ms 14224 KB answer = NO
88 Correct 170 ms 15192 KB answer = YES
89 Correct 103 ms 10820 KB answer = YES
90 Correct 101 ms 10864 KB answer = YES
91 Correct 145 ms 11336 KB answer = YES
92 Correct 50 ms 7424 KB answer = YES
93 Correct 48 ms 7412 KB answer = YES
94 Correct 78 ms 20376 KB answer = NO
95 Correct 63 ms 10968 KB answer = NO
96 Correct 203 ms 23352 KB answer = YES
97 Correct 49 ms 19768 KB answer = NO