Language: C++

#define _CRT_SECURE_NO_WARNINGS
#define _SCL_SECURE_NO_WARNINGS
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cassert>
#include <iostream>
#include <string>
#include <vector>
#include <list>
#include <utility>
#include <algorithm>
#include <functional>
#include <cmath>
#include <stack>
#include <queue>
#include <set>
#include <map>
#include <iomanip>
#include <sstream>
#include <bitset>
#include <limits>
#include <numeric>
#include <valarray>
#include <fstream>
#include <array>
#include <random>
#include <unordered_set>
#include <unordered_map>

using namespace std;
using uint = uint32_t;
using LL = int64_t;
using ULL = uint64_t;
using PP = pair<LL, LL>;
template <typename T> using PriorityQ = priority_queue<T, vector<T>, greater<T> >;
#define REP(i, a, n) for(LL i = (a), i##_max_ = (n); i < i##_max_; ++i)
#define REM(i, a, n) for(LL i = (LL)(n) - 1, i##_min_ = (a); i >= i##_min_; --i)
#define FLOAT fixed << setprecision(16)
#define SPEEDUP { cin.tie(NULL); ios::sync_with_stdio(false); }
const int INF = 0x3FFFFFFF;
const LL INFLL = 0x3FFFFFFF3FFFFFFF;
const double INFD = 1.0e+308;
const double EPS = 1.0e-9;

void YesNo(bool b) { cout << (b ? "Yes" : "No") << endl; }
void YESNO(bool b) { cout << (b ? "YES" : "NO") << endl; }
template <class T, class U> istream& operator>>(istream& ist, pair<T, U>& right) { return ist >> right.first >> right.second; }
template <class T, class U> ostream& operator<<(ostream& ost, const pair<T, U>& right) { return ost << right.first << ' ' << right.second; }
template <class T, class TCompatible, size_t N> void Fill(T(&dest)[N], const TCompatible& val) { fill(dest, dest + N, val); }
template <class T, class TCompatible, size_t M, size_t N> void Fill(T(&dest)[M][N], const TCompatible& val) { for (int i = 0; i < M; ++i) Fill(dest[i], val); }
template <class T> T Next() { T buf; cin >> buf; return buf; }
istream& Ignore(istream& ist) { string s; ist >> s; return ist; }
bool Inside(int i, int j, int h, int w) { return i >= 0 && i < h && j >= 0 && j < w; }

#ifdef ONLY_MY_ENVIR
#include "IntMod.h"
#include "Accumulator.h"
#include "Algebraic.h"
#include "BinaryMatrix.h"
#include "BinaryTree.h"
#include "Bipartite.h"
#include "BIT.h"
#include "Compressor.h"
#include "Decompositions.h"
#include "DynamicMod.h"
#include "Factorization.h"
#include "FFT.h"
#include "FlowSolver.h"
#include "Graph.h"
#include "GraphUtil.h"
#include "LazySegmentTree.h"
#include "LIS.h"
#include "Math.h"
#include "MathUtil.h"
#include "Matrix.h"
#include "MinCostFlowSolver.h"
#include "MinMax.h"
#include "Numbers.h"
#include "Optimize.h"
#include "Permutation.h"
#include "Polynomial.h"
#include "Position.h"
#include "Range.h"
#include "Rational.h"
#include "SegmentTree.h"
#include "SegmentTree2D.h"
#include "Sets.h"
#include "Shortest.h"
#include "SlidingWindow.h"
#include "SpanningTree.h"
#include "StringSearching.h"
#include "SuffixArray.h"
#include "Tree.h"
#include "UnionFind.h"
#include "VectorUtil.h"
#endif

#ifdef __GNUC__
typedef __int128 LLL;
istream& operator>>(istream& ist, __int128& val) { LL tmp; ist >> tmp; val = tmp; return ist; }
ostream& operator<<(ostream& ost, __int128 val) { LL tmp = val; ost << tmp; return ost; }
#endif


int main() {
	int N;
	cin >> N;
	Graph g = inputGraph(N, N - 1, false);
	auto colors = colorBipartiteGraph(g);
	
	int cnt = count(colors.begin(), colors.end(), false);
	int rem = count(colors.begin(), colors.end(), true);
	if (cnt > rem) {
		swap(cnt, rem);
		REP(i, 0, N) {
			colors[i] = !colors[i];
		}
	}

	vector<int> ans(N);
	if (3 * cnt <= N) {
		set<int> zero;
		set<int> nonzero;
		REP(i, 1, N + 1) {
			(i % 3 == 0 ? zero : nonzero).insert(i);
		}
		REP(i, 0, N) {
			if (colors[i] == false) {
				ans[i] = *zero.begin();
				zero.erase(zero.begin());
			} else {
				if (nonzero.empty()) {
					ans[i] = *zero.begin();
					zero.erase(zero.begin());
				} else {
					ans[i] = *nonzero.begin();
					nonzero.erase(nonzero.begin());
				}
			}
		}
	} else {
		set<int> zero;
		set<int> one;
		set<int> two;
		REP(i, 1, N + 1) {
			(i % 3 == 0 ? zero : i % 3 == 1 ? one : two).insert(i);
		}
		REP(i, 0, N) {
			if (colors[i] == false) {
				if (one.empty()) {
					ans[i] = *zero.begin();
					zero.erase(zero.begin());
				} else {
					ans[i] = *one.begin();
					one.erase(one.begin());
				}
			} else {
				if (two.empty()) {
					ans[i] = *zero.begin();
					zero.erase(zero.begin());
				} else {
					ans[i] = *two.begin();
					two.erase(two.begin());
				}
			}
		}
	}
	
	REP(i, 0, N) {
		cout << ans[i] << ' ';
	}
	cout << endl;

	return 0;
}

Compiler output:
a.cc: In function 'int main()':
a.cc:109:9: error: 'Graph' was not declared in this scope; did you mean 'isgraph'?
  109 |         Graph g = inputGraph(N, N - 1, false);
      |         ^~~~~
      |         isgraph
a.cc:110:43: error: 'g' was not declared in this scope
  110 |         auto colors = colorBipartiteGraph(g);
      |                                           ^
a.cc:110:23: error: 'colorBipartiteGraph' was not declared in this scope
  110 |         auto colors = colorBipartiteGraph(g);
      |                       ^~~~~~~~~~~~~~~~~~~