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- //Nguyen Huu Hoang Minh
- #include <bits/stdc++.h>
- #define sz(x) int(x.size())
- #define all(x) x.begin(),x.end()
- #define reset(x) memset(x, 0,sizeof(x))
- #define pb push_back
- #define mp make_pair
- #define fi first
- #define se second
- #define N 10005
- #define remain(x) if (x > MOD) x -= MOD
- #define ii pair<int, int>
- #define iiii pair< ii , ii >
- #define viiii vector< iiii >
- #define vi vector<int>
- #define vii vector< ii >
- #define bit(x, i) (((x) >> (i)) & 1)
- #define Task "test"
- #define int long long
- using namespace std;
- typedef long double ld;
- const int inf = 1e10;
- const int minf = -1e10;
- const int maxc = 4;
- int n;
- vector<int> g[N];
- int dp[N][5];
- int par[N], r[N];
- void readfile()
- {
- ios_base::sync_with_stdio(false);
- cin.tie(0);cout.tie(0);
- if (fopen(Task".inp","r"))
- {
- freopen(Task".inp","r",stdin);
- //freopen(Task".out","w",stdout);
- }
- cin >> n;
- for(int i=1; i<n; i++){
- int u, v;
- cin >> u >> v;
- g[u].pb(v);
- g[v].pb(u);
- }
- }
- void dfs(int u, int pre){
- for(int i=1; i<=4; i++) dp[u][i] = i;
- for(auto v : g[u]){
- if (v!=pre){
- par[v] = u;
- dfs(v,u);
- for(int i=1; i<=4; i++){
- int t = -1;
- for(int j=1; j<=4; j++){
- if (j!=i && (t<0||dp[v][t]>dp[v][j])) t=j;
- }
- dp[u][i]+=dp[v][t];
- }
- }
- }
- }
- void trace(int u, int pre, int c){
- r[u]=c;
- for(auto v: g[u]){
- if (v!=pre){
- int t = -1;
- for(int i=1; i<=4; i++) if (i!=c && ( t<0 || dp[v][t]>dp[v][i])) t=i;
- trace(v,u,t);
- }
- }
- }
- void proc()
- {
- dfs(1,1);
- int j=1;
- for(int i=1; i<=maxc; i++) if (dp[1][j]>dp[1][i]) j=i;
- trace(1,1,j);
- cout << dp[1][j] << '\n';
- for(int i=1; i<=n; i++) cout << r[i] << '\n';
- }
- signed main()
- {
- readfile();
- proc();
- return 0;
- }
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