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Submission #802504

# Submission time Handle Problem Language Result Execution time Memory
802504 2023-08-02T12:36:36 Z amirhoseinfar1385 Graph (BOI20_graph) C++17
58 / 100
 700 ms 41508 KB 
#include<bits/stdc++.h>
using namespace std;
const long long maxn=100000+10,lg=20;
vector<pair<long long,long long>>adj[maxn],adjt[maxn];
long long isr[maxn],vis[maxn],n,m,high[maxn],resf[maxn],resz[maxn],val[maxn];
long long res=1,timea=0;
vector<long long>now;

void dfs(long long u){
	if(vis[u]==1){
		return ;
	}
	now.push_back(u);
	isr[u]=1;
	vis[u]=1;
	for(auto xx:adj[u]){
		long long x=xx.first;
		long long 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<long long,long long> checkalle(){
	for(auto x:now){
		for(auto xx:adj[x]){
			long long y=xx.first;
			if(high[x]<high[y]){
				continue;
			}
			if(high[x]==high[y]+1){
				continue;
			}
			long long 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){
				continue;
			}
			long long ss;
			if(high[x]&1){
				ss=sf-sz;
			}	
			else{
				ss=sz-sf;
			}
			ss/=2;
			//cout<<x<<" "<<ss<<" "<<sz<<" "<<sf<<"wtf\n";
			return make_pair(x,ss);
		}
	}
	return make_pair(-1,-1);
}

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

void solve(long long u){
	now.clear();
	dfs(u);
	pair<long long,long long>fixy=checkalle();
	if(fixy.first==-2){
		res=0;
		return ;
	}
	//cout<<u<<" "<<endl;
	if(fixy.first!=-1){
		por(fixy.first,fixy.second);
		return ;
	}
	long long mina=1e17,w=0;
	for(long long i=-250;i<250;i++){
		long long z=por(u,i);
		if(z<mina){
			mina=z;
			w=i;
		}	
		else if(z==mina&&abs(i)<abs(w)){
			w=i;
		}
	}
	//cout<<por(u,0)<<" "<<por(u,2)<<" "<<mina<<" "<<w<<"\n";
	por(u,w);
}

void checkakh(){
	for(long long i=1;i<=n;i++){
		for(auto x:adj[i]){
			long long 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(long long i=0;i<m;i++){
		long long 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(long long 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(long long 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 3 ms 4948 KB answer = YES
3 Correct 2 ms 5044 KB answer = YES
4 Correct 2 ms 4948 KB answer = NO
5 Correct 3 ms 4948 KB answer = YES
6 Correct 2 ms 4948 KB answer = YES
7 Correct 3 ms 4948 KB answer = YES
8 Correct 2 ms 4948 KB answer = YES
9 Correct 3 ms 4964 KB answer = NO
10 Correct 2 ms 4948 KB answer = YES
11 Correct 3 ms 4948 KB answer = YES
12 Correct 3 ms 4948 KB answer = NO
13 Correct 2 ms 4948 KB answer = YES
14 Correct 2 ms 4948 KB answer = YES
15 Correct 2 ms 4948 KB answer = YES
16 Correct 2 ms 4948 KB answer = YES
17 Correct 2 ms 4968 KB answer = YES
18 Correct 2 ms 4948 KB answer = YES
19 Correct 2 ms 4948 KB answer = YES
20 Correct 2 ms 4948 KB answer = YES
21 Correct 2 ms 4948 KB answer = YES
22 Correct 2 ms 4948 KB answer = NO
23 Correct 2 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 3 ms 4948 KB answer = YES
3 Correct 2 ms 5044 KB answer = YES
4 Correct 2 ms 4948 KB answer = NO
5 Correct 3 ms 4948 KB answer = YES
6 Correct 2 ms 4948 KB answer = YES
7 Correct 3 ms 4948 KB answer = YES
8 Correct 2 ms 4948 KB answer = YES
9 Correct 3 ms 4964 KB answer = NO
10 Correct 2 ms 4948 KB answer = YES
11 Correct 3 ms 4948 KB answer = YES
12 Correct 3 ms 4948 KB answer = NO
13 Correct 2 ms 4948 KB answer = YES
14 Correct 2 ms 4948 KB answer = YES
15 Correct 2 ms 4948 KB answer = YES
16 Correct 2 ms 4948 KB answer = YES
17 Correct 2 ms 4968 KB answer = YES
18 Correct 2 ms 4948 KB answer = YES
19 Correct 2 ms 4948 KB answer = YES
20 Correct 2 ms 4948 KB answer = YES
21 Correct 2 ms 4948 KB answer = YES
22 Correct 2 ms 4948 KB answer = NO
23 Correct 2 ms 4948 KB answer = NO
24 Correct 2 ms 4948 KB answer = YES
25 Correct 2 ms 4948 KB answer = YES
26 Correct 4 ms 5064 KB answer = YES
27 Correct 2 ms 4948 KB answer = YES
28 Correct 2 ms 4948 KB answer = YES
29 Correct 3 ms 4948 KB answer = YES
30 Correct 2 ms 4948 KB answer = NO
31 Correct 2 ms 4948 KB answer = YES
32 Correct 2 ms 4948 KB answer = YES
33 Correct 2 ms 5048 KB answer = YES
34 Correct 2 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 3 ms 4948 KB answer = YES
3 Correct 2 ms 5044 KB answer = YES
4 Correct 2 ms 4948 KB answer = NO
5 Correct 3 ms 4948 KB answer = YES
6 Correct 2 ms 4948 KB answer = YES
7 Correct 3 ms 4948 KB answer = YES
8 Correct 2 ms 4948 KB answer = YES
9 Correct 3 ms 4964 KB answer = NO
10 Correct 2 ms 4948 KB answer = YES
11 Correct 3 ms 4948 KB answer = YES
12 Correct 3 ms 4948 KB answer = NO
13 Correct 2 ms 4948 KB answer = YES
14 Correct 2 ms 4948 KB answer = YES
15 Correct 2 ms 4948 KB answer = YES
16 Correct 2 ms 4948 KB answer = YES
17 Correct 2 ms 4968 KB answer = YES
18 Correct 2 ms 4948 KB answer = YES
19 Correct 2 ms 4948 KB answer = YES
20 Correct 2 ms 4948 KB answer = YES
21 Correct 2 ms 4948 KB answer = YES
22 Correct 2 ms 4948 KB answer = NO
23 Correct 2 ms 4948 KB answer = NO
24 Correct 2 ms 4948 KB answer = YES
25 Correct 2 ms 4948 KB answer = YES
26 Correct 4 ms 5064 KB answer = YES
27 Correct 2 ms 4948 KB answer = YES
28 Correct 2 ms 4948 KB answer = YES
29 Correct 3 ms 4948 KB answer = YES
30 Correct 2 ms 4948 KB answer = NO
31 Correct 2 ms 4948 KB answer = YES
32 Correct 2 ms 4948 KB answer = YES
33 Correct 2 ms 5048 KB answer = YES
34 Correct 2 ms 4948 KB answer = YES
35 Correct 2 ms 4948 KB answer = YES
36 Correct 2 ms 4948 KB answer = YES
37 Correct 3 ms 5012 KB answer = YES
38 Correct 2 ms 5076 KB answer = YES
39 Correct 4 ms 5076 KB answer = YES
40 Correct 2 ms 5204 KB answer = YES
41 Correct 3 ms 5204 KB answer = NO
42 Correct 6 ms 5204 KB answer = YES
43 Correct 5 ms 5204 KB answer = YES
44 Correct 5 ms 5188 KB answer = YES
45 Correct 3 ms 5180 KB answer = YES
46 Correct 4 ms 5076 KB answer = YES
47 Correct 3 ms 5204 KB answer = YES
48 Correct 3 ms 5204 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 3 ms 4948 KB answer = YES
3 Correct 2 ms 5044 KB answer = YES
4 Correct 2 ms 4948 KB answer = NO
5 Correct 3 ms 4948 KB answer = YES
6 Correct 2 ms 4948 KB answer = YES
7 Correct 3 ms 4948 KB answer = YES
8 Correct 2 ms 4948 KB answer = YES
9 Correct 3 ms 4964 KB answer = NO
10 Correct 2 ms 4948 KB answer = YES
11 Correct 3 ms 4948 KB answer = YES
12 Correct 3 ms 4948 KB answer = NO
13 Correct 2 ms 4948 KB answer = YES
14 Correct 2 ms 4948 KB answer = YES
15 Correct 2 ms 4948 KB answer = YES
16 Correct 2 ms 4948 KB answer = YES
17 Correct 2 ms 4968 KB answer = YES
18 Correct 2 ms 4948 KB answer = YES
19 Correct 2 ms 4948 KB answer = YES
20 Correct 2 ms 4948 KB answer = YES
21 Correct 2 ms 4948 KB answer = YES
22 Correct 2 ms 4948 KB answer = NO
23 Correct 2 ms 4948 KB answer = NO
24 Correct 2 ms 4948 KB answer = YES
25 Correct 2 ms 4948 KB answer = YES
26 Correct 4 ms 5064 KB answer = YES
27 Correct 2 ms 4948 KB answer = YES
28 Correct 2 ms 4948 KB answer = YES
29 Correct 3 ms 4948 KB answer = YES
30 Correct 2 ms 4948 KB answer = NO
31 Correct 2 ms 4948 KB answer = YES
32 Correct 2 ms 4948 KB answer = YES
33 Correct 2 ms 5048 KB answer = YES
34 Correct 2 ms 4948 KB answer = YES
35 Correct 2 ms 4948 KB answer = YES
36 Correct 2 ms 4948 KB answer = YES
37 Correct 3 ms 5012 KB answer = YES
38 Correct 2 ms 5076 KB answer = YES
39 Correct 4 ms 5076 KB answer = YES
40 Correct 2 ms 5204 KB answer = YES
41 Correct 3 ms 5204 KB answer = NO
42 Correct 6 ms 5204 KB answer = YES
43 Correct 5 ms 5204 KB answer = YES
44 Correct 5 ms 5188 KB answer = YES
45 Correct 3 ms 5180 KB answer = YES
46 Correct 4 ms 5076 KB answer = YES
47 Correct 3 ms 5204 KB answer = YES
48 Correct 3 ms 5204 KB answer = YES
49 Correct 79 ms 6620 KB answer = YES
50 Correct 7 ms 7252 KB answer = YES
51 Correct 70 ms 7232 KB answer = YES
52 Correct 6 ms 7124 KB answer = NO
53 Correct 5 ms 5204 KB answer = YES
54 Correct 12 ms 5428 KB answer = YES
55 Correct 27 ms 5832 KB answer = YES
56 Correct 62 ms 6604 KB answer = YES
57 Correct 39 ms 6496 KB answer = YES
58 Correct 32 ms 6432 KB answer = YES
59 Correct 6 ms 6484 KB answer = YES
60 Correct 43 ms 6592 KB answer = YES
61 Correct 4 ms 5836 KB answer = YES
62 Correct 57 ms 15508 KB answer = NO
63 Correct 47 ms 15520 KB answer = YES
64 Correct 44 ms 15512 KB answer = NO
65 Correct 44 ms 15600 KB answer = YES
66 Correct 8 ms 5356 KB answer = YES

Subtask #5
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB answer = YES
2 Correct 3 ms 4948 KB answer = YES
3 Correct 2 ms 5044 KB answer = YES
4 Correct 2 ms 4948 KB answer = NO
5 Correct 3 ms 4948 KB answer = YES
6 Correct 2 ms 4948 KB answer = YES
7 Correct 3 ms 4948 KB answer = YES
8 Correct 2 ms 4948 KB answer = YES
9 Correct 3 ms 4964 KB answer = NO
10 Correct 2 ms 4948 KB answer = YES
11 Correct 3 ms 4948 KB answer = YES
12 Correct 3 ms 4948 KB answer = NO
13 Correct 2 ms 4948 KB answer = YES
14 Correct 2 ms 4948 KB answer = YES
15 Correct 2 ms 4948 KB answer = YES
16 Correct 2 ms 4948 KB answer = YES
17 Correct 2 ms 4968 KB answer = YES
18 Correct 2 ms 4948 KB answer = YES
19 Correct 2 ms 4948 KB answer = YES
20 Correct 2 ms 4948 KB answer = YES
21 Correct 2 ms 4948 KB answer = YES
22 Correct 2 ms 4948 KB answer = NO
23 Correct 2 ms 4948 KB answer = NO
24 Correct 2 ms 4948 KB answer = YES
25 Correct 2 ms 4948 KB answer = YES
26 Correct 4 ms 5064 KB answer = YES
27 Correct 2 ms 4948 KB answer = YES
28 Correct 2 ms 4948 KB answer = YES
29 Correct 3 ms 4948 KB answer = YES
30 Correct 2 ms 4948 KB answer = NO
31 Correct 2 ms 4948 KB answer = YES
32 Correct 2 ms 4948 KB answer = YES
33 Correct 2 ms 5048 KB answer = YES
34 Correct 2 ms 4948 KB answer = YES
35 Correct 2 ms 4948 KB answer = YES
36 Correct 2 ms 4948 KB answer = YES
37 Correct 3 ms 5012 KB answer = YES
38 Correct 2 ms 5076 KB answer = YES
39 Correct 4 ms 5076 KB answer = YES
40 Correct 2 ms 5204 KB answer = YES
41 Correct 3 ms 5204 KB answer = NO
42 Correct 6 ms 5204 KB answer = YES
43 Correct 5 ms 5204 KB answer = YES
44 Correct 5 ms 5188 KB answer = YES
45 Correct 3 ms 5180 KB answer = YES
46 Correct 4 ms 5076 KB answer = YES
47 Correct 3 ms 5204 KB answer = YES
48 Correct 3 ms 5204 KB answer = YES
49 Correct 79 ms 6620 KB answer = YES
50 Correct 7 ms 7252 KB answer = YES
51 Correct 70 ms 7232 KB answer = YES
52 Correct 6 ms 7124 KB answer = NO
53 Correct 5 ms 5204 KB answer = YES
54 Correct 12 ms 5428 KB answer = YES
55 Correct 27 ms 5832 KB answer = YES
56 Correct 62 ms 6604 KB answer = YES
57 Correct 39 ms 6496 KB answer = YES
58 Correct 32 ms 6432 KB answer = YES
59 Correct 6 ms 6484 KB answer = YES
60 Correct 43 ms 6592 KB answer = YES
61 Correct 4 ms 5836 KB answer = YES
62 Correct 57 ms 15508 KB answer = NO
63 Correct 47 ms 15520 KB answer = YES
64 Correct 44 ms 15512 KB answer = NO
65 Correct 44 ms 15600 KB answer = YES
66 Correct 8 ms 5356 KB answer = YES
67 Correct 406 ms 32672 KB answer = YES
68 Correct 419 ms 33852 KB answer = YES
69 Correct 52 ms 33828 KB answer = YES
70 Correct 77 ms 41508 KB answer = YES
71 Correct 51 ms 34072 KB answer = YES
72 Execution timed out 955 ms 22284 KB Time limit exceeded
73 Halted 0 ms 0 KB -