Submission #283507

# Submission time Handle Problem Language Result Execution time Memory
283507 2020-08-25T21:30:35 Z sofapuden Graph (BOI20_graph) C++14
100 / 100
415 ms 29556 KB
#include <bits/stdc++.h>

using namespace std;

typedef double db;

int n, m;
vector<vector<pair<int,int>>> gra;
vector<db> ans;
vector<int> colors;
vector<int> nums;
set<int> ansvis, recvis, fillvis;
db sum;
int index1;

void ansfill(int ind, db val){
	ansvis.insert(ind);
	ans[ind] = val;
	for(int i = 0; i < (int)gra[ind].size(); ++i){
		if(ans[gra[ind][i].first] == -0.25)ansfill(gra[ind][i].first, gra[ind][i].second - val);
		else if(val+ans[gra[ind][i].first] != gra[ind][i].second){
			cout << "NO\n"; 
			exit(0);
		}
	}
}
int rec(int ind, int k){
	recvis.insert(ind);
	colors[ind] = k;
	for(int i = 0; i < (int)gra[ind].size(); ++i){
		if(recvis.count(gra[ind][i].first)){
			if(k == colors[gra[ind][i].first]){
				sum+=gra[ind][i].second;
				index1 = gra[ind][i].first;
				if(ind == index1)return -2;
				return gra[ind][i].first;
			}
		}
		else{
			int v = rec(gra[ind][i].first, !k);
			if(v == ind){
				sum+=gra[ind][i].second;
				return -2;
			}
			if(v == -1)continue;
			if(v == -2)return v;
			sum+=gra[ind][i].second*(k == colors[v] ? 1 : -1);
			return v;
		}
	}
	return -1;
}

void recfill(int ind, int k, int val){
	fillvis.insert(ind);
	nums.push_back(val * (k ? 1 : -1));
	for(int i = 0; i < (int)gra[ind].size(); ++i){
		if(!fillvis.count(gra[ind][i].first)){
			recfill(gra[ind][i].first, !k, gra[ind][i].second - val);
		}
	}
}
void fill(int ind){
	nums.clear();
	recfill(ind, 0, 0);
	sort(nums.begin(), nums.end());
	ansfill(ind, nums[nums.size()/2]);
}
	
					
int check(int ind){
	sum = 0;
	index1 = -1;
	int v = rec(ind, 0);
	if(v == -1)return 0;
	ansfill(index1, sum/2);
	return 1;
}
int main(){
	ios::sync_with_stdio(0); cin.tie(0);
	cin >> n >> m;
	gra.resize(n);
	ans.resize(n, -0.25);
	colors.resize(n, -1);
	while(m--){
		int nm1, nm2, nm3; cin >> nm1 >> nm2 >> nm3;
		nm1--; nm2--;
		gra[nm1].push_back(make_pair(nm2, nm3));
		gra[nm2].push_back(make_pair(nm1, nm3));
	}
	for(int i = 0; i < n; ++i){
		if(!ansvis.count(i)){
			if(!check(i))fill(i);
		}
	}
	cout << "YES\n";
	for(db i : ans)cout << i << " ";
	cout << "\n";
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB answer = YES
2 Correct 1 ms 384 KB answer = YES
3 Correct 1 ms 384 KB answer = YES
4 Correct 1 ms 384 KB answer = NO
5 Correct 1 ms 384 KB answer = YES
6 Correct 0 ms 384 KB answer = YES
7 Correct 1 ms 384 KB answer = YES
8 Correct 0 ms 384 KB answer = YES
9 Correct 1 ms 384 KB answer = NO
10 Correct 0 ms 384 KB answer = YES
11 Correct 1 ms 384 KB answer = YES
12 Correct 0 ms 384 KB answer = NO
13 Correct 1 ms 384 KB answer = YES
14 Correct 0 ms 384 KB answer = YES
15 Correct 0 ms 384 KB answer = YES
16 Correct 0 ms 384 KB answer = YES
17 Correct 1 ms 384 KB answer = YES
18 Correct 1 ms 384 KB answer = YES
19 Correct 0 ms 384 KB answer = YES
20 Correct 0 ms 384 KB answer = YES
21 Correct 0 ms 384 KB answer = YES
22 Correct 1 ms 384 KB answer = NO
23 Correct 0 ms 384 KB answer = NO
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB answer = YES
2 Correct 1 ms 384 KB answer = YES
3 Correct 1 ms 384 KB answer = YES
4 Correct 1 ms 384 KB answer = NO
5 Correct 1 ms 384 KB answer = YES
6 Correct 0 ms 384 KB answer = YES
7 Correct 1 ms 384 KB answer = YES
8 Correct 0 ms 384 KB answer = YES
9 Correct 1 ms 384 KB answer = NO
10 Correct 0 ms 384 KB answer = YES
11 Correct 1 ms 384 KB answer = YES
12 Correct 0 ms 384 KB answer = NO
13 Correct 1 ms 384 KB answer = YES
14 Correct 0 ms 384 KB answer = YES
15 Correct 0 ms 384 KB answer = YES
16 Correct 0 ms 384 KB answer = YES
17 Correct 1 ms 384 KB answer = YES
18 Correct 1 ms 384 KB answer = YES
19 Correct 0 ms 384 KB answer = YES
20 Correct 0 ms 384 KB answer = YES
21 Correct 0 ms 384 KB answer = YES
22 Correct 1 ms 384 KB answer = NO
23 Correct 0 ms 384 KB answer = NO
24 Correct 1 ms 384 KB answer = YES
25 Correct 1 ms 384 KB answer = YES
26 Correct 1 ms 384 KB answer = YES
27 Correct 1 ms 384 KB answer = YES
28 Correct 1 ms 384 KB answer = YES
29 Correct 1 ms 384 KB answer = YES
30 Correct 1 ms 384 KB answer = NO
31 Correct 1 ms 384 KB answer = YES
32 Correct 1 ms 384 KB answer = YES
33 Correct 1 ms 384 KB answer = YES
34 Correct 1 ms 384 KB answer = YES
35 Correct 1 ms 384 KB answer = YES
36 Correct 1 ms 384 KB answer = YES
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB answer = YES
2 Correct 1 ms 384 KB answer = YES
3 Correct 1 ms 384 KB answer = YES
4 Correct 1 ms 384 KB answer = NO
5 Correct 1 ms 384 KB answer = YES
6 Correct 0 ms 384 KB answer = YES
7 Correct 1 ms 384 KB answer = YES
8 Correct 0 ms 384 KB answer = YES
9 Correct 1 ms 384 KB answer = NO
10 Correct 0 ms 384 KB answer = YES
11 Correct 1 ms 384 KB answer = YES
12 Correct 0 ms 384 KB answer = NO
13 Correct 1 ms 384 KB answer = YES
14 Correct 0 ms 384 KB answer = YES
15 Correct 0 ms 384 KB answer = YES
16 Correct 0 ms 384 KB answer = YES
17 Correct 1 ms 384 KB answer = YES
18 Correct 1 ms 384 KB answer = YES
19 Correct 0 ms 384 KB answer = YES
20 Correct 0 ms 384 KB answer = YES
21 Correct 0 ms 384 KB answer = YES
22 Correct 1 ms 384 KB answer = NO
23 Correct 0 ms 384 KB answer = NO
24 Correct 1 ms 384 KB answer = YES
25 Correct 1 ms 384 KB answer = YES
26 Correct 1 ms 384 KB answer = YES
27 Correct 1 ms 384 KB answer = YES
28 Correct 1 ms 384 KB answer = YES
29 Correct 1 ms 384 KB answer = YES
30 Correct 1 ms 384 KB answer = NO
31 Correct 1 ms 384 KB answer = YES
32 Correct 1 ms 384 KB answer = YES
33 Correct 1 ms 384 KB answer = YES
34 Correct 1 ms 384 KB answer = YES
35 Correct 1 ms 384 KB answer = YES
36 Correct 1 ms 384 KB answer = YES
37 Correct 1 ms 384 KB answer = YES
38 Correct 1 ms 384 KB answer = YES
39 Correct 1 ms 512 KB answer = YES
40 Correct 2 ms 512 KB answer = YES
41 Correct 2 ms 512 KB answer = NO
42 Correct 2 ms 512 KB answer = YES
43 Correct 2 ms 512 KB answer = YES
44 Correct 2 ms 544 KB answer = YES
45 Correct 2 ms 512 KB answer = YES
46 Correct 1 ms 384 KB answer = YES
47 Correct 2 ms 512 KB answer = YES
48 Correct 2 ms 512 KB answer = YES
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB answer = YES
2 Correct 1 ms 384 KB answer = YES
3 Correct 1 ms 384 KB answer = YES
4 Correct 1 ms 384 KB answer = NO
5 Correct 1 ms 384 KB answer = YES
6 Correct 0 ms 384 KB answer = YES
7 Correct 1 ms 384 KB answer = YES
8 Correct 0 ms 384 KB answer = YES
9 Correct 1 ms 384 KB answer = NO
10 Correct 0 ms 384 KB answer = YES
11 Correct 1 ms 384 KB answer = YES
12 Correct 0 ms 384 KB answer = NO
13 Correct 1 ms 384 KB answer = YES
14 Correct 0 ms 384 KB answer = YES
15 Correct 0 ms 384 KB answer = YES
16 Correct 0 ms 384 KB answer = YES
17 Correct 1 ms 384 KB answer = YES
18 Correct 1 ms 384 KB answer = YES
19 Correct 0 ms 384 KB answer = YES
20 Correct 0 ms 384 KB answer = YES
21 Correct 0 ms 384 KB answer = YES
22 Correct 1 ms 384 KB answer = NO
23 Correct 0 ms 384 KB answer = NO
24 Correct 1 ms 384 KB answer = YES
25 Correct 1 ms 384 KB answer = YES
26 Correct 1 ms 384 KB answer = YES
27 Correct 1 ms 384 KB answer = YES
28 Correct 1 ms 384 KB answer = YES
29 Correct 1 ms 384 KB answer = YES
30 Correct 1 ms 384 KB answer = NO
31 Correct 1 ms 384 KB answer = YES
32 Correct 1 ms 384 KB answer = YES
33 Correct 1 ms 384 KB answer = YES
34 Correct 1 ms 384 KB answer = YES
35 Correct 1 ms 384 KB answer = YES
36 Correct 1 ms 384 KB answer = YES
37 Correct 1 ms 384 KB answer = YES
38 Correct 1 ms 384 KB answer = YES
39 Correct 1 ms 512 KB answer = YES
40 Correct 2 ms 512 KB answer = YES
41 Correct 2 ms 512 KB answer = NO
42 Correct 2 ms 512 KB answer = YES
43 Correct 2 ms 512 KB answer = YES
44 Correct 2 ms 544 KB answer = YES
45 Correct 2 ms 512 KB answer = YES
46 Correct 1 ms 384 KB answer = YES
47 Correct 2 ms 512 KB answer = YES
48 Correct 2 ms 512 KB answer = YES
49 Correct 22 ms 2688 KB answer = YES
50 Correct 20 ms 2424 KB answer = YES
51 Correct 23 ms 2944 KB answer = YES
52 Correct 15 ms 2432 KB answer = NO
53 Correct 3 ms 512 KB answer = YES
54 Correct 5 ms 896 KB answer = YES
55 Correct 11 ms 1536 KB answer = YES
56 Correct 23 ms 2688 KB answer = YES
57 Correct 25 ms 2560 KB answer = YES
58 Correct 19 ms 2432 KB answer = YES
59 Correct 13 ms 1920 KB answer = YES
60 Correct 22 ms 2688 KB answer = YES
61 Correct 8 ms 1184 KB answer = YES
62 Correct 68 ms 7672 KB answer = NO
63 Correct 74 ms 7800 KB answer = YES
64 Correct 67 ms 7800 KB answer = NO
65 Correct 74 ms 7800 KB answer = YES
66 Correct 4 ms 768 KB answer = YES
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB answer = YES
2 Correct 1 ms 384 KB answer = YES
3 Correct 1 ms 384 KB answer = YES
4 Correct 1 ms 384 KB answer = NO
5 Correct 1 ms 384 KB answer = YES
6 Correct 0 ms 384 KB answer = YES
7 Correct 1 ms 384 KB answer = YES
8 Correct 0 ms 384 KB answer = YES
9 Correct 1 ms 384 KB answer = NO
10 Correct 0 ms 384 KB answer = YES
11 Correct 1 ms 384 KB answer = YES
12 Correct 0 ms 384 KB answer = NO
13 Correct 1 ms 384 KB answer = YES
14 Correct 0 ms 384 KB answer = YES
15 Correct 0 ms 384 KB answer = YES
16 Correct 0 ms 384 KB answer = YES
17 Correct 1 ms 384 KB answer = YES
18 Correct 1 ms 384 KB answer = YES
19 Correct 0 ms 384 KB answer = YES
20 Correct 0 ms 384 KB answer = YES
21 Correct 0 ms 384 KB answer = YES
22 Correct 1 ms 384 KB answer = NO
23 Correct 0 ms 384 KB answer = NO
24 Correct 1 ms 384 KB answer = YES
25 Correct 1 ms 384 KB answer = YES
26 Correct 1 ms 384 KB answer = YES
27 Correct 1 ms 384 KB answer = YES
28 Correct 1 ms 384 KB answer = YES
29 Correct 1 ms 384 KB answer = YES
30 Correct 1 ms 384 KB answer = NO
31 Correct 1 ms 384 KB answer = YES
32 Correct 1 ms 384 KB answer = YES
33 Correct 1 ms 384 KB answer = YES
34 Correct 1 ms 384 KB answer = YES
35 Correct 1 ms 384 KB answer = YES
36 Correct 1 ms 384 KB answer = YES
37 Correct 1 ms 384 KB answer = YES
38 Correct 1 ms 384 KB answer = YES
39 Correct 1 ms 512 KB answer = YES
40 Correct 2 ms 512 KB answer = YES
41 Correct 2 ms 512 KB answer = NO
42 Correct 2 ms 512 KB answer = YES
43 Correct 2 ms 512 KB answer = YES
44 Correct 2 ms 544 KB answer = YES
45 Correct 2 ms 512 KB answer = YES
46 Correct 1 ms 384 KB answer = YES
47 Correct 2 ms 512 KB answer = YES
48 Correct 2 ms 512 KB answer = YES
49 Correct 22 ms 2688 KB answer = YES
50 Correct 20 ms 2424 KB answer = YES
51 Correct 23 ms 2944 KB answer = YES
52 Correct 15 ms 2432 KB answer = NO
53 Correct 3 ms 512 KB answer = YES
54 Correct 5 ms 896 KB answer = YES
55 Correct 11 ms 1536 KB answer = YES
56 Correct 23 ms 2688 KB answer = YES
57 Correct 25 ms 2560 KB answer = YES
58 Correct 19 ms 2432 KB answer = YES
59 Correct 13 ms 1920 KB answer = YES
60 Correct 22 ms 2688 KB answer = YES
61 Correct 8 ms 1184 KB answer = YES
62 Correct 68 ms 7672 KB answer = NO
63 Correct 74 ms 7800 KB answer = YES
64 Correct 67 ms 7800 KB answer = NO
65 Correct 74 ms 7800 KB answer = YES
66 Correct 4 ms 768 KB answer = YES
67 Correct 215 ms 29424 KB answer = YES
68 Correct 202 ms 29424 KB answer = YES
69 Correct 151 ms 22800 KB answer = YES
70 Correct 195 ms 27120 KB answer = YES
71 Correct 172 ms 22904 KB answer = YES
72 Correct 393 ms 23664 KB answer = YES
73 Correct 210 ms 16120 KB answer = YES
74 Correct 116 ms 11768 KB answer = YES
75 Correct 150 ms 16372 KB answer = NO
76 Correct 28 ms 3200 KB answer = YES
77 Correct 64 ms 6136 KB answer = YES
78 Correct 135 ms 10356 KB answer = YES
79 Correct 284 ms 20316 KB answer = YES
80 Correct 196 ms 18548 KB answer = YES
81 Correct 118 ms 16632 KB answer = NO
82 Correct 189 ms 18936 KB answer = YES
83 Correct 277 ms 23052 KB answer = YES
84 Correct 415 ms 29556 KB answer = YES
85 Correct 201 ms 29468 KB answer = YES
86 Correct 173 ms 22764 KB answer = YES
87 Correct 152 ms 15480 KB answer = NO
88 Correct 290 ms 20472 KB answer = YES
89 Correct 246 ms 18276 KB answer = YES
90 Correct 235 ms 18040 KB answer = YES
91 Correct 264 ms 18040 KB answer = YES
92 Correct 89 ms 8440 KB answer = YES
93 Correct 93 ms 8312 KB answer = YES
94 Correct 390 ms 29040 KB answer = NO
95 Correct 67 ms 9592 KB answer = NO
96 Correct 335 ms 19788 KB answer = YES
97 Correct 161 ms 29040 KB answer = NO