#include<bits/stdc++.h>
using namespace std;

// Optimization

//#pragma GCC optimize("O3")
#define endl '\n'

// Shortcut

#define int long long
#define eb emplace_back
#define pb push_back
#define pob pop_back
#define mp make_pair
#define upb upper_bound
#define lwb lower_bound
#define fi first
#define se second
#define For(i, l, r) for (int i = l; i < r; i++)
#define ForE(i, l, r) for (int i = l; i <= r; i++)
#define Ford(i, r, l) for (int i = r; i > l; i--)
#define FordE(i, r, l) for (int i = r; i >= l; i--)
#define Fora(i, a) for (auto i : a)

// I/O & Debug

#define PrintV(a) Fora(iiii, a) cout << iiii << ' '; cout << endl;
#define PrintVl(a) Fora(iiii, a) cout << iiii << endl;
#define PrintA(a, l, r) for (int iiii = l; iiii <= r; iiii++) cout << a[iiii] << ' '; cout << endl;
#define PrintAl(a, l, r) for (int iiii = l; iiii <= r; iiii++) cout << a[iiii] << endl;
#define Ptest(x) return cout << x, 0;
#define gl(s) getline(cin, s);
#define setpre(x) fixed << setprecision(x)
/*
#define debug(args...){ string _sDEB = #args; replace(_sDEB.begin(), _sDEB.end(), ',', ' '); stringstream _ssDEB(_sDEB); istream_iterator<string> _itDEB(_ssDEB); DEB(_itDEB, args); }
void DEB(istream_iterator<string> it) {}
template<typename T, typename... Args>
void DEB(istream_iterator<string> it, T a, Args... args){
    cout << *it << " = " << a << endl;
    DEB(++it, args...);
}
*/

// Functions

//#define isvowel(a) (a == 'a' || a == 'e' || a == 'i' || a == 'o' || a == 'u')
#define bend(a) a.begin(), a.end()
#define rbend(a) a.rbegin(), a.rend()
#define mset(a) memset(a, 0, sizeof(a))
#define mset1(a) memset(a, 1, sizeof(a))
#define msetn1(a) memset(a, -1, sizeof(a))
#define msetinf(a) memset(a, 0x3f, sizeof(a))
#define gcd __gcd
#define __builtin_popcount __builtin_popcountll
//mt19937 rando(chrono::steady_clock::now().time_since_epoch().count());

// Data Structure

#define pque priority_queue
#define mts multiset
#define y0 _y0_
#define y1 _y1_
#define div divi
typedef long long ll;
typedef long double ld;
typedef vector <int> vi;
typedef vector <ll> vll;
typedef vector <ld> vld;
typedef vector <string> vs;
typedef pair <int, int> pii;
typedef pair <ll, ll> pll;
typedef vector <vi > vvi;
typedef vector <vll > vvll;
typedef vector <pii > vpii;
typedef vector <pll > vpll;

const int N = 2e5 + 5;
int mod = 1e9 + 7, mod1 = 998244353, mod2 = 1e9 + 9, inf = 1e9 + 7;
ll infll = 1e18 + 7;

int n;
vi adj[N];
vi a, b;

int ans[N];
bool ck[N];

void dfs(int u, int p, int t){
    if (t == 1){
        a.pb(u);
    }
    else{
        b.pb(u);
    }
    Fora(v, adj[u]){
        if (v == p) continue;
        dfs(v, u, 3 - t);
    }
}

signed main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    cin >> n;
    For(i, 1, n){
        int x, y; cin >> x >> y;
        adj[x].pb(y); adj[y].pb(x);
    }
    dfs(1, 1, 1);
    if (a.size() <= n / 3){
        For(i, 0, (int)a.size()){
            ans[a[i]] = (i + 1) * 3;
            ck[(i + 1) * 3] = 1;
        }
        int idx = 0;
        ForE(i, 1, n){
            if (!ck[i]){
                ck[i] = 1;
                ans[b[idx]] = i;
                idx++;
            }
        }
        PrintA(ans, 1, n);
        return 0;
    }
    if (b.size() <= n / 3){
        For(i, 0, (int)b.size()){
            ans[b[i]] = (i + 1) * 3;
            ck[(i + 1) * 3] = 1;
        }
        int idx = 0;
        ForE(i, 1, n){
            if (!ck[i]){
                ck[i] = 1;
                ans[a[idx]] = i;
                idx++;
            }
        }
        PrintA(ans, 1, n);
        return 0;
    }
    int t, idx;
    t = 1; idx = 0;
    while (t <= n){
        ans[a[idx]] = t;
        ck[t] = 1;
        t += 3;
        idx++;
    }
    t = 2; idx = 0;
    while (t <= n){
        ans[b[idx]] = t;
        ck[t] = 1;
        t += 3;
        idx++;
    }
    t = 3;
    Fora(v, a){
        if (ans[v] == 0){
            ans[v] = t;
            t += 3;
        }
    }
    Fora(v, b){
        if (ans[v] == 0){
            ans[v] = t;
            t += 3;
        }
    }
    PrintA(ans, 1, n);
}

/*
==================================+
INPUT:                            |
------------------------------    |

------------------------------    |
==================================+
OUTPUT:                           |
------------------------------    |

------------------------------    |
==================================+
*/

Measured memory_bytes: 23020