Problem: Requirements

* All inputs are of non-negative integer value.
* T_{\text{max}} = 10000
* 200 \leq |V| \leq 400
* 1.5 |V| \leq |E| \leq 2 |V|
* 1 \leq u_{i}, v_{i} \leq |V| (1 \leq i \leq |E|)
* 1 \leq d_{u_i, v_i} \leq \lceil 4\sqrt{2|V|} \rceil (1 \leq i \leq |E|)
* The given graph has no self-loops / multiple edges and is guaranteed to be connected.
* 0 \leq N_{\text{new}} \leq 1
* 1 \leq \mathrm{new\\_id}_{i} \leq T_{\text{last}}+1 (1 \leq i \leq N_{\text{new}}). Note: If all orders are generated by the order generation rule as explained above, the total number of orders is at most T_{\text{last}}+1. Therefore, the possible range of \mathrm{new\\_id}_{i} should be from 1 to T_{\text{last}}+1.
* 2 \leq \mathrm{dst}_i \leq |V| (1 \leq i \leq N_{\text{new}})
* The order IDs \mathrm{new\\_{id}}_i are unique.

Input Format

Input is provided in the following form:


|V| |E|
u_{1} v_{1} d_{u_{1}, v_{1}}
u_{2} v_{2} d_{u_{2}, v_{2}}
:
u_{|E|} v_{|E|} d_{u_{|E|}, v_{|E|}}
T_{\text{max}}
\mathrm{info}_{0}
\mathrm{info}_{1}
:
\mathrm{info}_{T_{\text{max}}-1}


* In the first line |V| denotes the number of vertices, while |E| denotes the number of edges.
* The following |E| lines denote the edges of the graph. In particular, in the ith line u_{i} and v_{i} denote the edge connecting u_{i} and v_{i} and d_{u_{i}, v_{i}} the corresponding distance.
* The following line denotes the number of steps T_{\text{max}}.



In the following line, \mathrm{info}_t is information about the order from the customer that occurs at time t. \mathrm{info}_t is given in the form:


N_{\text{new}}
\mathrm{new\_id}_1 \mathrm{dst}_1
\mathrm{new\_id}_2 \mathrm{dst}_2
\vdots
\mathrm{new\_id}_{N_{\text{new}}} \mathrm{dst}_{N_{\text{new}}}


* N_{\text{new}} represents the number of new orders which appear at time t.
* The next N_{\text{new}} lines give the newly generated order information. The i-th order information indicates that the order ID \mathrm{new\\_{id}}_i of the new order, while \mathrm{dst}_i denotes the vertex to which the customer wishes the order to be delivered.
* Note: If N_{\text{new}}=0, there are no new lines.

Output Format

The Output expects T_{\text{max}} integers in the format specified below.


\mathrm{command}_{0}
\mathrm{command}_{1}
:
\mathrm{command}_{T_{\text{max}}-1}


In particular, \mathrm{command}_{i} shall specify the movement of the delivery car by using one of the following two options:

1) `stay`, if the car shall not move:


-1


2) `move w`, if the car shall be moved one step towards the neighboring vertex w


w


Note that in case of 2) w has to satisfy the following conditions:

* w \in V
* If the car is at vertex u: \left\\{ u, w \right\\} \in E .
* If the car is on the edge \left\\{ u, v \right\\}, w must either satisfy u = w or v = w.



* * *

Examples

Input




Output




Input

5 7
1 2 5
5 3 4
2 4 8
1 5 1
2 3 3
4 5 3
4 3 9
4
1
1 2
1
2 5
1
3 4
0


Output

2
-1
1
5

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.HashSet;
import java.util.List;
import java.util.PriorityQueue;
import java.util.Queue;
import java.util.Set;

public class Main {
	static PrintWriter pw = new PrintWriter(System.out);
	static int v, e, tmax;
	static int[][] dist;
	static List<Integer>[][] route;
	static List<List<Hen>> nextList;
	static List<List<Order>> infoList;
	static int t = 0;

	public static void main(String[] args) throws Exception {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String[] sa = br.readLine().split(" ");
		v = Integer.parseInt(sa[0]);
		e = Integer.parseInt(sa[1]);
		dist = new int[v][v];
		route = new List[v][v];
		nextList = new ArrayList<>(v);
		for (int i = 0; i < v; i++) {
			nextList.add(new ArrayList<>());
		}
		for (int i = 0; i < e; i++) {
			sa = br.readLine().split(" ");
			int a = Integer.parseInt(sa[0]) - 1;
			int b = Integer.parseInt(sa[1]) - 1;
			int c = Integer.parseInt(sa[2]);
			nextList.get(a).add(new Hen(b, c));
			nextList.get(b).add(new Hen(a, c));
		}

		tmax = Integer.parseInt(br.readLine());
		infoList = new ArrayList<>(tmax);
		for (int i = 0; i < tmax; i++) {
			int n = Integer.parseInt(br.readLine());
			List<Order> orderList = new ArrayList<>(n);
			for (int j = 0; j < n; j++) {
				sa = br.readLine().split(" ");
				Order o = new Order();
				o.id = Integer.parseInt(sa[0]);
				o.dst = Integer.parseInt(sa[1]) - 1;
				orderList.add(o);
			}
			infoList.add(orderList);
		}
		br.close();

		for (int i = 0; i < v; i++) {
			dijkstra(i);
		}

		int gotT = 0;
		int now = 0;
		int next = 0;
		Queue<Order> carQue = new ArrayDeque<>();
		Set<Integer> carSet = new HashSet<>();
		while (t < tmax) {
			if (now == 0) {
				for ( ; gotT <= t; gotT++) {
					for (Order o : infoList.get(gotT)) {
						if (carSet.add(o.dst)) {
							carQue.add(o);
						}
					}
				}
				if (carQue.isEmpty()) {
					pw.println(-1);
					t++;
					continue;
				}
			} else {
				if (carQue.isEmpty()) {
					moveAll(now, 0);
					now = 0;
					continue;
				}
			}
			Order o = carQue.poll();
			next = o.dst;
			carSet.remove(next);
			moveAll(now, next);
			now = next;
		}
		pw.flush();
	}

	static void moveAll(int from, int to) throws Exception {
		List<Integer> list = route[from][to];
		for (int i = 1; i < list.size(); i++) {
			int d = move(list.get(i - 1), list.get(i));
			t += d;
		}
	}

	static int move(int from, int to) {
		int d = dist[from][to];
		d = Math.min(d, tmax - t);
		int to1 = to + 1;
		for (int i = 0; i < d; i++) {
			pw.println(to1);
		}
		return d;
	}

	static void dijkstra(int s) {
		Arrays.fill(dist[s], Integer.MAX_VALUE);
		dist[s][s] = 0;
		for (int i = 0; i < v; i++) {
			route[s][i] = new ArrayList<>();
		}
		route[s][s].add(s);
		PriorityQueue<Node> que = new PriorityQueue<Node>();
		Node first = new Node(s, 0);
		que.add(first);

		while (!que.isEmpty()) {
			Node cur = que.poll();
			for (Hen hen : nextList.get(cur.v)) {
				int alt = dist[s][cur.v] + hen.c;
				if (alt < dist[s][hen.v]) {
					dist[s][hen.v] = alt;
					route[s][hen.v].clear();
					route[s][hen.v].addAll(route[s][cur.v]);
					route[s][hen.v].add(hen.v);
					Node next = new Node(hen.v, alt);
					que.add(next);
				}
			}
		}
	}

	static class Hen {
		int v, c;

		public Hen(int v, int c) {
			this.v = v;
			this.c = c;
		}
	}

	static class Node implements Comparable<Node> {
		int v, d;

		public Node(int v, int d) {
			this.v = v;
			this.d = d;
		}

		public int compareTo(Node o) {
			return d - o.d;
		}
	}

	static class Order {
		int id, dst;
	}
}