Submission #1188189

#TimeUsernameProblemLanguageResultExecution timeMemory
1188189mertbbmGraph (BOI20_graph)C++20
0 / 100
1 ms2632 KiB
#include <bits/stdc++.h>
using namespace std;

#define int long long 
#define ld long double
#define show(x,y) cout << y << " " << #x << endl;
#define show2(x,y,i,j) cout << y << " " << #x << "  " << j << " " << #i << endl;
#define show3(x,y,i,j,p,q) cout << y << " " << #x << "  " << j << " " << #i << "  " << q << " " << #p << endl;
#define show4(x,y) for(auto it:y) cout << it << " "; cout << #x << endl;
typedef pair<int,int>pii;
typedef pair<int,pii>pi2;
mt19937_64 rng(chrono::system_clock::now().time_since_epoch().count());

vector<pii>adj[100005];
bool visited[100005];

vector<int>storage[2];
pii arr[100005];
bool amos=true;
vector<int>need;

void dfs(int index, int val, int sgn){
	arr[index]={val,sgn};
	storage[sgn].push_back(val);
	//show3(index,index,val,val,sgn,sgn);
	visited[index]=true;
	for(auto it:adj[index]){
		int nval=it.second-val;
		int nsgn=1-sgn;
		if(visited[it.first]){
			if(arr[it.first].second==nsgn&&arr[it.first].first!=nval) amos=false;
			if(arr[it.first].second!=nsgn){
				int a=arr[it.first].first;
				int b=nval;
				if(nsgn) swap(a,b); //b is the k-x
				need.push_back(b-a);
			}
		}
		if(!visited[it.first]){
			dfs(it.first,nval,nsgn);
		}
	}
}

void solve(){
	int n,m;
	cin >> n >> m;
	
	int temp,temp2,temp3;
	
	for(int x=0;x<m;x++){
		cin >> temp >> temp2 >> temp3;
		adj[temp].push_back({temp2,temp3});
		adj[temp2].push_back({temp,temp3});
	}
	
	dfs(1,0,1);
	
	//show(amos,amos);
	
	int counter=0;
	while(!storage[0].empty()&&!storage[1].empty()){
		counter+=storage[0].back();
		counter+=storage[1].back();
		storage[0].pop_back();
		storage[1].pop_back();
	}
	
	ld hold=0;
	
	if(!storage[0].empty()){
		//k-x
		sort(storage[0].begin(),storage[0].end());
		hold=storage[0][storage[0].size()/2];
	}
	if(!storage[1].empty()){
		//k+x
		sort(storage[1].begin(),storage[1].end());
		hold=-storage[1][storage[1].size()/2];
	}
	
	//show4(need,need);
	//sort(need.begin(),need.end());
	need.resize(unique(need.begin(),need.end())-need.begin());
	
	if(!amos||need.size()>1){
		cout << "NO\n";
	}
	else{
		if(!need.empty()) hold=(ld)need[0]/2;
		cout << "YES\n";
		for(int x=1;x<=n;x++){
			ld cur=arr[x].first;
			if(arr[x].second==1) cur+=hold;
			else cur-=hold;
			cout << fixed << setprecision(10) << cur << " ";
		}
	}
	
	
	
	
}	
																   
int32_t main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	//freopen("in.txt","r",stdin);
	//freopen("out.txt","w",stdout);
	int t=1;
	//cin >> t;
	while(t--){
		solve();
	}
}
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