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Submission #802661

# Submission time Handle Problem Language Result Execution time Memory
802661 2023-08-02T13:11:18 Z amirhoseinfar1385 Graph (BOI20_graph) C++17
100 / 100
 111 ms 28920 KB 
#include<bits/stdc++.h>
using namespace std;
const int maxn=100000+10;
vector<pair<int,int>>adj[maxn],adjt[maxn];
int isr[maxn],vis[maxn],n,m,high[maxn],resf[maxn],resz[maxn],val[maxn];
int res=1,timea=0;
vector<int>now;

void dfs(int u){
	if(vis[u]==1){
		return ;
	}
	now.push_back(u);
	isr[u]=1;
	vis[u]=1;
	for(auto xx:adj[u]){
		int x=xx.first;
		int y=xx.second;
		if(vis[x]==0){
			adjt[u].push_back(xx);
			adjt[x].push_back(make_pair(u,xx.second));
			high[x]=high[u]+1;
			if(high[u]&1){
				resf[x]=resf[u];
				resz[x]=resz[u]+y;
			}
			else{
				resf[x]=resf[u]+y;
				resz[x]=resz[u];
			}
			dfs(x);
		}
	}
}

pair<int,int> checkalle(){
	for(auto x:now){
		for(auto xx:adj[x]){
			int y=xx.first;
			if(high[x]<high[y]){
				continue;
			}
			if(high[x]==high[y]+1){
				continue;
			}
			int sf=resf[x]-resf[y],sz=resz[x]-resz[y];
			if((high[x]&1)!=(high[y]&1)){
				if(high[x]&1){
					sz+=xx.second;
				}
				else{
					sf+=xx.second;
				}
				if(sz==sf){
					continue;
				}
				return make_pair(-2,-2);
			}
			if(high[x]&1){
				sf+=xx.second;
			}
			else{
				sz+=xx.second;
			}
			if(sz==sf){
				return make_pair(x,0);
				continue;
			}
			int ss;
			if(high[x]&1){
				ss=sf-sz;
			}	
			else{
				ss=sz-sf;
			}
			ss/=2;
			//ss=-ss;
			//cout<<x<<" "<<ss<<" "<<sz<<" "<<sf<<"wtf\n";
			return make_pair(x,ss);
		}
	}
	return make_pair(-1,-1);
}

int por(int u,int w,int par=0){
	//cout<<u<<" "<<w<<" "<<par<<" asd\n";
	val[u]=w;
	int ret=abs(w);
	for(auto x:adjt[u]){
		if(x.first!=par){
			ret+=por(x.first,x.second-w,u);
		}
	}
	return ret;
}

void solve(int u){
	now.clear();
	dfs(u);
	pair<int,int>fixy=checkalle();
	if(fixy.first==-2){
		res=0;
		return ;
	}
	//cout<<u<<" "<<endl;
	if(fixy.first!=-1){
		por(fixy.first,fixy.second);
		return ;
	}
	int low=-1000,high=1000,w,mid;
	while(high-low>1){
		mid=(high+low)>>1;
		long long av=por(u,mid),dov=por(u,mid+1);
		//cout<<high<<" "<<low<<" "<<mid<<" "<<av<<" "<<dov<<"\n";
		if(av>=dov){
			low=mid;
		}
		else{
			high=mid;
		}
	}
	if(por(u,low)<por(u,high)){
		w=low;		
	}
	else{
		w=high;
	}
	//cout<<por(u,0)<<" "<<por(u,2)<<" "<<mina<<" "<<w<<"\n";
	por(u,w);
}

void checkakh(){
	for(int i=1;i<=n;i++){
		for(auto x:adj[i]){
			int y=x.first;
			//cout<<val[i]<<" "<<val[y]<<" "<<x.second<<"\n";
			if(val[i]+val[y]!=x.second){
				res=0;
				return ;
			}
		}
	}
}

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	//cout.tie(0);
	cin>>n>>m;
	for(int i=0;i<m;i++){
		int u,v,w;
		cin>>u>>v>>w;
		w*=2;
		adj[u].push_back(make_pair(v,w));
		adj[v].push_back(make_pair(u,w));
	}
	for(int i=1;i<=n;i++){
		if(isr[i]==0){
			//cout<<"ha: "<<i<<"\n";
			solve(i);
		}
	}
	////cout<<res<<"\n";
	checkakh();
	if(res==0){
		cout<<"NO\n";
		return 0;
	}
	cout<<"YES\n";
	cout<<setprecision(2);
	for(int i=1;i<=n;i++){
		if(val[i]<0){
			cout<<"-";
		}
		val[i]=abs(val[i]);
		if((val[i]&1)==1){
			val[i]/=2;
			cout<<val[i];
			cout<<".5";
		}
		else{
			val[i]/=2;
			cout<<val[i];
		}
		cout<<" ";
	}
	cout<<"\n";
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB answer = YES
2 Correct 2 ms 4948 KB answer = YES
3 Correct 2 ms 4948 KB answer = YES
4 Correct 3 ms 4948 KB answer = NO
5 Correct 2 ms 5024 KB answer = YES
6 Correct 2 ms 4948 KB answer = YES
7 Correct 3 ms 4948 KB answer = YES
8 Correct 2 ms 5024 KB answer = YES
9 Correct 2 ms 4948 KB answer = NO
10 Correct 3 ms 5020 KB answer = YES
11 Correct 3 ms 4992 KB answer = YES
12 Correct 2 ms 5020 KB answer = NO
13 Correct 2 ms 4948 KB answer = YES
14 Correct 3 ms 5024 KB answer = YES
15 Correct 2 ms 4948 KB answer = YES
16 Correct 2 ms 4948 KB answer = YES
17 Correct 2 ms 4948 KB answer = YES
18 Correct 3 ms 4948 KB answer = YES
19 Correct 2 ms 4948 KB answer = YES
20 Correct 2 ms 4968 KB answer = YES
21 Correct 3 ms 4948 KB answer = YES
22 Correct 2 ms 4948 KB answer = NO
23 Correct 3 ms 4948 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB answer = YES
2 Correct 2 ms 4948 KB answer = YES
3 Correct 2 ms 4948 KB answer = YES
4 Correct 3 ms 4948 KB answer = NO
5 Correct 2 ms 5024 KB answer = YES
6 Correct 2 ms 4948 KB answer = YES
7 Correct 3 ms 4948 KB answer = YES
8 Correct 2 ms 5024 KB answer = YES
9 Correct 2 ms 4948 KB answer = NO
10 Correct 3 ms 5020 KB answer = YES
11 Correct 3 ms 4992 KB answer = YES
12 Correct 2 ms 5020 KB answer = NO
13 Correct 2 ms 4948 KB answer = YES
14 Correct 3 ms 5024 KB answer = YES
15 Correct 2 ms 4948 KB answer = YES
16 Correct 2 ms 4948 KB answer = YES
17 Correct 2 ms 4948 KB answer = YES
18 Correct 3 ms 4948 KB answer = YES
19 Correct 2 ms 4948 KB answer = YES
20 Correct 2 ms 4968 KB answer = YES
21 Correct 3 ms 4948 KB answer = YES
22 Correct 2 ms 4948 KB answer = NO
23 Correct 3 ms 4948 KB answer = NO
24 Correct 3 ms 4948 KB answer = YES
25 Correct 3 ms 5024 KB answer = YES
26 Correct 2 ms 4948 KB answer = YES
27 Correct 2 ms 4940 KB answer = YES
28 Correct 2 ms 4948 KB answer = YES
29 Correct 3 ms 4948 KB answer = YES
30 Correct 2 ms 5024 KB answer = NO
31 Correct 2 ms 5028 KB answer = YES
32 Correct 3 ms 5020 KB answer = YES
33 Correct 2 ms 4948 KB answer = YES
34 Correct 3 ms 4948 KB answer = YES
35 Correct 2 ms 4948 KB answer = YES
36 Correct 2 ms 4948 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB answer = YES
2 Correct 2 ms 4948 KB answer = YES
3 Correct 2 ms 4948 KB answer = YES
4 Correct 3 ms 4948 KB answer = NO
5 Correct 2 ms 5024 KB answer = YES
6 Correct 2 ms 4948 KB answer = YES
7 Correct 3 ms 4948 KB answer = YES
8 Correct 2 ms 5024 KB answer = YES
9 Correct 2 ms 4948 KB answer = NO
10 Correct 3 ms 5020 KB answer = YES
11 Correct 3 ms 4992 KB answer = YES
12 Correct 2 ms 5020 KB answer = NO
13 Correct 2 ms 4948 KB answer = YES
14 Correct 3 ms 5024 KB answer = YES
15 Correct 2 ms 4948 KB answer = YES
16 Correct 2 ms 4948 KB answer = YES
17 Correct 2 ms 4948 KB answer = YES
18 Correct 3 ms 4948 KB answer = YES
19 Correct 2 ms 4948 KB answer = YES
20 Correct 2 ms 4968 KB answer = YES
21 Correct 3 ms 4948 KB answer = YES
22 Correct 2 ms 4948 KB answer = NO
23 Correct 3 ms 4948 KB answer = NO
24 Correct 3 ms 4948 KB answer = YES
25 Correct 3 ms 5024 KB answer = YES
26 Correct 2 ms 4948 KB answer = YES
27 Correct 2 ms 4940 KB answer = YES
28 Correct 2 ms 4948 KB answer = YES
29 Correct 3 ms 4948 KB answer = YES
30 Correct 2 ms 5024 KB answer = NO
31 Correct 2 ms 5028 KB answer = YES
32 Correct 3 ms 5020 KB answer = YES
33 Correct 2 ms 4948 KB answer = YES
34 Correct 3 ms 4948 KB answer = YES
35 Correct 2 ms 4948 KB answer = YES
36 Correct 2 ms 4948 KB answer = YES
37 Correct 2 ms 4948 KB answer = YES
38 Correct 2 ms 4948 KB answer = YES
39 Correct 3 ms 5076 KB answer = YES
40 Correct 3 ms 5076 KB answer = YES
41 Correct 3 ms 5076 KB answer = NO
42 Correct 4 ms 5076 KB answer = YES
43 Correct 3 ms 5076 KB answer = YES
44 Correct 3 ms 5076 KB answer = YES
45 Correct 3 ms 5156 KB answer = YES
46 Correct 4 ms 5076 KB answer = YES
47 Correct 4 ms 5160 KB answer = YES
48 Correct 3 ms 5076 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB answer = YES
2 Correct 2 ms 4948 KB answer = YES
3 Correct 2 ms 4948 KB answer = YES
4 Correct 3 ms 4948 KB answer = NO
5 Correct 2 ms 5024 KB answer = YES
6 Correct 2 ms 4948 KB answer = YES
7 Correct 3 ms 4948 KB answer = YES
8 Correct 2 ms 5024 KB answer = YES
9 Correct 2 ms 4948 KB answer = NO
10 Correct 3 ms 5020 KB answer = YES
11 Correct 3 ms 4992 KB answer = YES
12 Correct 2 ms 5020 KB answer = NO
13 Correct 2 ms 4948 KB answer = YES
14 Correct 3 ms 5024 KB answer = YES
15 Correct 2 ms 4948 KB answer = YES
16 Correct 2 ms 4948 KB answer = YES
17 Correct 2 ms 4948 KB answer = YES
18 Correct 3 ms 4948 KB answer = YES
19 Correct 2 ms 4948 KB answer = YES
20 Correct 2 ms 4968 KB answer = YES
21 Correct 3 ms 4948 KB answer = YES
22 Correct 2 ms 4948 KB answer = NO
23 Correct 3 ms 4948 KB answer = NO
24 Correct 3 ms 4948 KB answer = YES
25 Correct 3 ms 5024 KB answer = YES
26 Correct 2 ms 4948 KB answer = YES
27 Correct 2 ms 4940 KB answer = YES
28 Correct 2 ms 4948 KB answer = YES
29 Correct 3 ms 4948 KB answer = YES
30 Correct 2 ms 5024 KB answer = NO
31 Correct 2 ms 5028 KB answer = YES
32 Correct 3 ms 5020 KB answer = YES
33 Correct 2 ms 4948 KB answer = YES
34 Correct 3 ms 4948 KB answer = YES
35 Correct 2 ms 4948 KB answer = YES
36 Correct 2 ms 4948 KB answer = YES
37 Correct 2 ms 4948 KB answer = YES
38 Correct 2 ms 4948 KB answer = YES
39 Correct 3 ms 5076 KB answer = YES
40 Correct 3 ms 5076 KB answer = YES
41 Correct 3 ms 5076 KB answer = NO
42 Correct 4 ms 5076 KB answer = YES
43 Correct 3 ms 5076 KB answer = YES
44 Correct 3 ms 5076 KB answer = YES
45 Correct 3 ms 5156 KB answer = YES
46 Correct 4 ms 5076 KB answer = YES
47 Correct 4 ms 5160 KB answer = YES
48 Correct 3 ms 5076 KB answer = YES
49 Correct 10 ms 6100 KB answer = YES
50 Correct 8 ms 6612 KB answer = YES
51 Correct 9 ms 6696 KB answer = YES
52 Correct 6 ms 6572 KB answer = NO
53 Correct 3 ms 5156 KB answer = YES
54 Correct 4 ms 5332 KB answer = YES
55 Correct 5 ms 5548 KB answer = YES
56 Correct 10 ms 6168 KB answer = YES
57 Correct 8 ms 6020 KB answer = YES
58 Correct 8 ms 5972 KB answer = YES
59 Correct 6 ms 6060 KB answer = YES
60 Correct 9 ms 6124 KB answer = YES
61 Correct 4 ms 5544 KB answer = YES
62 Correct 53 ms 11292 KB answer = NO
63 Correct 45 ms 11320 KB answer = YES
64 Correct 56 ms 11472 KB answer = NO
65 Correct 47 ms 11348 KB answer = YES
66 Correct 4 ms 5284 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB answer = YES
2 Correct 2 ms 4948 KB answer = YES
3 Correct 2 ms 4948 KB answer = YES
4 Correct 3 ms 4948 KB answer = NO
5 Correct 2 ms 5024 KB answer = YES
6 Correct 2 ms 4948 KB answer = YES
7 Correct 3 ms 4948 KB answer = YES
8 Correct 2 ms 5024 KB answer = YES
9 Correct 2 ms 4948 KB answer = NO
10 Correct 3 ms 5020 KB answer = YES
11 Correct 3 ms 4992 KB answer = YES
12 Correct 2 ms 5020 KB answer = NO
13 Correct 2 ms 4948 KB answer = YES
14 Correct 3 ms 5024 KB answer = YES
15 Correct 2 ms 4948 KB answer = YES
16 Correct 2 ms 4948 KB answer = YES
17 Correct 2 ms 4948 KB answer = YES
18 Correct 3 ms 4948 KB answer = YES
19 Correct 2 ms 4948 KB answer = YES
20 Correct 2 ms 4968 KB answer = YES
21 Correct 3 ms 4948 KB answer = YES
22 Correct 2 ms 4948 KB answer = NO
23 Correct 3 ms 4948 KB answer = NO
24 Correct 3 ms 4948 KB answer = YES
25 Correct 3 ms 5024 KB answer = YES
26 Correct 2 ms 4948 KB answer = YES
27 Correct 2 ms 4940 KB answer = YES
28 Correct 2 ms 4948 KB answer = YES
29 Correct 3 ms 4948 KB answer = YES
30 Correct 2 ms 5024 KB answer = NO
31 Correct 2 ms 5028 KB answer = YES
32 Correct 3 ms 5020 KB answer = YES
33 Correct 2 ms 4948 KB answer = YES
34 Correct 3 ms 4948 KB answer = YES
35 Correct 2 ms 4948 KB answer = YES
36 Correct 2 ms 4948 KB answer = YES
37 Correct 2 ms 4948 KB answer = YES
38 Correct 2 ms 4948 KB answer = YES
39 Correct 3 ms 5076 KB answer = YES
40 Correct 3 ms 5076 KB answer = YES
41 Correct 3 ms 5076 KB answer = NO
42 Correct 4 ms 5076 KB answer = YES
43 Correct 3 ms 5076 KB answer = YES
44 Correct 3 ms 5076 KB answer = YES
45 Correct 3 ms 5156 KB answer = YES
46 Correct 4 ms 5076 KB answer = YES
47 Correct 4 ms 5160 KB answer = YES
48 Correct 3 ms 5076 KB answer = YES
49 Correct 10 ms 6100 KB answer = YES
50 Correct 8 ms 6612 KB answer = YES
51 Correct 9 ms 6696 KB answer = YES
52 Correct 6 ms 6572 KB answer = NO
53 Correct 3 ms 5156 KB answer = YES
54 Correct 4 ms 5332 KB answer = YES
55 Correct 5 ms 5548 KB answer = YES
56 Correct 10 ms 6168 KB answer = YES
57 Correct 8 ms 6020 KB answer = YES
58 Correct 8 ms 5972 KB answer = YES
59 Correct 6 ms 6060 KB answer = YES
60 Correct 9 ms 6124 KB answer = YES
61 Correct 4 ms 5544 KB answer = YES
62 Correct 53 ms 11292 KB answer = NO
63 Correct 45 ms 11320 KB answer = YES
64 Correct 56 ms 11472 KB answer = NO
65 Correct 47 ms 11348 KB answer = YES
66 Correct 4 ms 5284 KB answer = YES
67 Correct 59 ms 25852 KB answer = YES
68 Correct 68 ms 25720 KB answer = YES
69 Correct 52 ms 25820 KB answer = YES
70 Correct 67 ms 28920 KB answer = YES
71 Correct 48 ms 25936 KB answer = YES
72 Correct 101 ms 16084 KB answer = YES
73 Correct 56 ms 15844 KB answer = YES
74 Correct 41 ms 17096 KB answer = YES
75 Correct 29 ms 16484 KB answer = NO
76 Correct 13 ms 6424 KB answer = YES
77 Correct 24 ms 7764 KB answer = YES
78 Correct 41 ms 9672 KB answer = YES
79 Correct 99 ms 14120 KB answer = YES
80 Correct 67 ms 16868 KB answer = YES
81 Correct 49 ms 19908 KB answer = NO
82 Correct 75 ms 24720 KB answer = YES
83 Correct 87 ms 25524 KB answer = YES
84 Correct 111 ms 25484 KB answer = YES
85 Correct 61 ms 26564 KB answer = YES
86 Correct 45 ms 26640 KB answer = YES
87 Correct 56 ms 18612 KB answer = NO
88 Correct 69 ms 20160 KB answer = YES
89 Correct 47 ms 15260 KB answer = YES
90 Correct 56 ms 15264 KB answer = YES
91 Correct 57 ms 15244 KB answer = YES
92 Correct 26 ms 11020 KB answer = YES
93 Correct 27 ms 10840 KB answer = YES
94 Correct 70 ms 25896 KB answer = NO
95 Correct 58 ms 14940 KB answer = NO
96 Correct 99 ms 26312 KB answer = YES
97 Correct 36 ms 25904 KB answer = NO