#include <bits/stdc++.h>
//#include <boost/multiprecision/cpp_int.hpp>
//namespace mp = boost::multiprecision;

using namespace std;

const double PI = 3.14159265358979323846;
typedef long long ll;
const double EPS = 1e-9;
#define rep(i, n) for (int i = 0; i < (n); ++i)
//#define rep(i, n) for (ll i = 0; i < (n); ++i)
typedef pair<ll, ll> P;
const ll INF = 10e17;
#define cmin(x, y) x = min(x, y)
#define cmax(x, y) x = max(x, y)
#define ret() return 0;

double equal(double a, double b) {
    return fabs(a - b) < DBL_EPSILON;
}

std::istream &operator>>(std::istream &in, set<int> &o) {
    int a;
    in >> a;
    o.insert(a);
    return in;
}

std::istream &operator>>(std::istream &in, queue<int> &o) {
    ll a;
    in >> a;
    o.push(a);
    return in;
}

bool contain(set<int> &s, int a) { return s.find(a) != s.end(); }

//ofstream outfile("log.txt");
//outfile << setw(6) << setfill('0') << prefecture << setw(6) << setfill('0') << rank << endl;
// std::cout << std::bitset<8>(9);
//const ll mod = 1e10;

typedef priority_queue<ll, vector<ll>, greater<ll> > PQ_ASK;

template<class T, class F>
struct SegmentTree {
    F f;
    T ti;
    vector<T> dat;
    int sz;

    SegmentTree(const F &f, const T &ti) : f(f), ti(ti) {}

    void build(const vector<T> &v) {
        assert(v.size());
        sz = 1;
        while (sz < v.size())sz <<= 1;
        dat.resize(sz << 1, ti);
        for (int i = 0; i < v.size(); i++)dat[sz - 1 + i] = v[i];
        for (int i = sz - 2; i >= 0; i--)dat[i] = f(dat[i * 2 + 1], dat[i * 2 + 2]);
    }

    inline void update(int k, T x) {
        k += sz - 1;
        dat[k] = x;
        while (k) {
            k = (k - 1) / 2;
            dat[k] = f(dat[k * 2 + 1], dat[k * 2 + 2]);
        }
    }

    inline void add(int k, int x) {
        k += sz - 1;
        dat[k] = f(dat[k], x);
        while (k) {
            k = (k - 1) / 2;
            dat[k] = f(dat[k * 2 + 1], dat[k * 2 + 2]);
        }
    }

    inline T query(int a, int b) {
        return query(a, b, 0, 0, sz);
    }

    T query(int a, int b, int k, int l, int r) {
        if (r <= a || b <= l)return ti;
        if (a <= l && r <= b)return dat[k];
        return f(query(a, b, k * 2 + 1, l, (l + r) / 2), query(a, b, k * 2 + 2, (l + r) / 2, r));
    }
};

const int mod = 998244353;

struct mint {
    ll x; // typedef long long ll;
    mint(ll x = 0) : x((x % mod + mod) % mod) {}

    mint &operator+=(const mint a) {
        if ((x += a.x) >= mod) x -= mod;
        return *this;
    }

    mint &operator-=(const mint a) {
        if ((x += mod - a.x) >= mod) x -= mod;
        return *this;
    }

    mint &operator*=(const mint a) {
        (x *= a.x) %= mod;
        return *this;
    }

    mint operator+(const mint a) const {
        mint res(*this);
        return res += a;
    }

    mint operator-(const mint a) const {
        mint res(*this);
        return res -= a;
    }

    mint operator*(const mint a) const {
        mint res(*this);
        return res *= a;
    }

    mint pow(ll t) const {
        if (!t) return 1;
        mint a = pow(t >> 1);
        a *= a;
        if (t & 1) a *= *this;
        return a;
    }

    // for prime mod
    mint inv() const {
        return pow(mod - 2);
    }

    mint &operator/=(const mint a) {
        return (*this) *= a.inv();
    }

    mint operator/(const mint a) const {
        mint res(*this);
        return res /= a;
    }

    friend std::istream &operator>>(std::istream &in, mint &o) {
        ll a;
        in >> a;
        o = a;
        return in;
    }

    friend std::ostream &operator<<(std::ostream &out, const mint &o) {
        out << o.x;
        return out;
    }

};

void rec(vector<vector<int>> &g, vector<char> &colors, int now, char c) {
    if (colors[now] != ' ') return;
    colors[now] = c;
    char nc = c == 'R' ? 'B' : 'R';

    for (int next : g[now]) {
        rec(g, colors, next, nc);
    }

}


int main() {

//    ifstream cin("C:\\Users\\riku\\Downloads\\50_star_01");

    int n;
    cin >> n;

    vector<vector<int>> g(n);

    rep(_, n - 1) {
        int a, b;
        cin >> a >> b;
        a--;
        b--;

        g[a].push_back(b);
        g[b].push_back(a);
    }

    vector<char> colors(n, ' ');
    rec(g, colors, 0, 'B');

    int r = count(colors.begin(), colors.end(), 'R');
    int b = count(colors.begin(), colors.end(), 'B');

    assert(r + b == n);
    vector<queue<int>> e(3);
    for (int i = 1; i <= n; i++) e[i % 3].push(i);
    vector<int> ans(n, -1);

    rep(i, n) {
        char c = colors[i];
        queue<int> &k = [&]() -> queue<int> & {
            if (n < r * 3 && n < b * 3) {
                if (c == 'R' && !e[1].empty()) {
                    return e[1];
                } else if (c == 'B' && !e[2].empty()) {
                    return e[2];
                } else {
                    return e[0];
                }
            } else if (n >= r * 3) {
                if (c == 'R') {
                    return e[0];
                } else {
                    if (!e[1].empty()) return e[1];
                    else if (!e[2].empty()) return e[2];
                    else return e[0];
                }
            } else {
                if (c == 'B') {
                    return e[0];
                } else {
                    if (!e[1].empty()) return e[1];
                    else if (!e[2].empty()) return e[2];
                    else return e[0];
                }
            }
        }();
        if (k.empty()) {
            cout << endl;
        }
        ans[i] = k.front();
        k.pop();
    }
    for (int c : ans) cout << c << ' ';

}


Measured memory_bytes: 20032