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

int T, N, Tom, Jerry, K;

#define vvig vector<vector<int>> &graph
#define vi vector<int>

void bfs(vector<int> &d, vvig, int kezd) {
    queue<int> q;
    q.push(kezd);
    d[kezd] = 0;
    int k;
    while (!q.empty())
    {
        k = q.front();
        q.pop();
        for (int x : graph[k]) {
            if (d[x] != -1) continue;
            d[x] = d[k] + 1;
            q.push(x);
        }
    }
}

void dfs_visit(vector<bool> &visited, vvig, int a, vi &d) {
    visited[a] = true;
    for (int x: graph[a]) {
        if (visited[x] || d[x] <= K) continue;
        dfs_visit(visited, graph, x, d);
    }
}

void dfs_Jerry(vvig, vi d_tom, int loc, vector<bool> &visited, int dist, bool &success, bool &end) {
    visited[loc] = true;
    for (int x : graph[loc]) {
        if (end) return;
        if (visited[x] || d_tom[x] <= dist + 2) continue;
        if (d_tom[x] > K) {
            success = true;
            end = true;
            return;
        }
        dfs_Jerry(graph, d_tom, x, visited, dist + 1, success, end);
    }
}

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    cin >> T;
    for (size_t q = 0; q < T; q++)
    {
        cin >> N >> Tom >> Jerry >> K;
        Tom--; Jerry--;
        int a, b;
        if (K > N) {
            cout << "IGEN\n";
            for (size_t i = 0; i < N - 1; i++)
            {
                cin >> a >> b;
            }
            continue;
        }

        vector<vi> graph(N);
        {
        bool f = false;
        for (size_t i = 0; i < N - 1; i++)
        {
            cin >> a >> b;
            a--; b--;
            if ((a == Tom && b == Jerry) || (b == Tom && a == Jerry)) {
                f = true;
            }
            if (!f){
                graph[a].push_back(b);
                graph[b].push_back(a);
            }
        }
        if (f) {
            cout << "IGEN\n";
            continue;
        }
        }
        vi d_tom(N, -1);
        bfs(d_tom, graph, Tom);

        cout << "asdf\n";
        for (size_t i = 0; i < d_tom.size(); i++)
        {
            cout << d_tom[i] << ' ';
        }
        cout << '\n';

        bool success = false;
        {
        vector<bool> visited(N, false);
        bool end = false;
        dfs_Jerry(graph, d_tom, Jerry, visited, 0, success, end);
        }
        if (!success) {
            cout << "IGEN\n";
            continue;
        }

        int max_d_tom = 0;
        for (size_t i = 0; i < d_tom.size(); i++)
        {
            max_d_tom = d_tom[max_d_tom] < d_tom[i] ? i : max_d_tom;
        }
        vi d2(N, -1);
        bfs(d2, graph, max_d_tom);
        int nagy_tav = *max_element(d2.begin(), d2.end());
        if (K == 1 && nagy_tav >= 4) {
            cout << "NEM\n";
            continue;
        }
        if (nagy_tav >= K*2 + 1) cout << "NEM\n";
        else cout << "IGEN\n";
    } // q (question)
    cout << '\n';
}