Problem: Danil decided to earn some money, so he had found a part-time job. The interview have went well, so now he is a light switcher.

Danil works in a rooted tree (undirected connected acyclic graph) with n vertices, vertex 1 is the root of the tree. There is a room in each vertex, light can be switched on or off in each room. Danil's duties include switching light in all rooms of the subtree of the vertex. It means that if light is switched on in some room of the subtree, he should switch it off. Otherwise, he should switch it on.

Unfortunately (or fortunately), Danil is very lazy. He knows that his boss is not going to personally check the work. Instead, he will send Danil tasks using Workforces personal messages.

There are two types of tasks: 

  1. pow v describes a task to switch lights in the subtree of vertex v.
  2. get v describes a task to count the number of rooms in the subtree of v, in which the light is turned on. Danil should send the answer to his boss using Workforces messages.



A subtree of vertex v is a set of vertices for which the shortest path from them to the root passes through v. In particular, the vertex v is in the subtree of v.

Danil is not going to perform his duties. He asks you to write a program, which answers the boss instead of him.

Input

The first line contains a single integer n (1 ≤ n ≤ 200 000) — the number of vertices in the tree.

The second line contains n - 1 space-separated integers p2, p3, ..., pn (1 ≤ pi < i), where pi is the ancestor of vertex i.

The third line contains n space-separated integers t1, t2, ..., tn (0 ≤ ti ≤ 1), where ti is 1, if the light is turned on in vertex i and 0 otherwise.

The fourth line contains a single integer q (1 ≤ q ≤ 200 000) — the number of tasks.

The next q lines are get v or pow v (1 ≤ v ≤ n) — the tasks described above.

Output

For each task get v print the number of rooms in the subtree of v, in which the light is turned on.

Example

Input

4
1 1 1
1 0 0 1
9
get 1
get 2
get 3
get 4
pow 1
get 1
get 2
get 3
get 4


Output

2
0
0
1
2
1
1
0

Note

<image> The tree before the task pow 1.

<image> The tree after the task pow 1.

Solution (in JAVA):

Solution:
import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Comparator;
import java.util.InputMismatchException;
import java.util.List;
import java.util.PriorityQueue;

public class Main {

	private static final int MAXN = 5000;
	private static final String NO = "No";
	private static final String YES = "Yes";
	InputStream is;
	PrintWriter out;
	String INPUT = "";

	private static long MOD = 1000000009;
	private static final int MAX = Integer.MAX_VALUE / 4;

	class Node {
		int s, e;
		int onOff;
		List<Node> next = new ArrayList<Node>();

		public Node(int i) {
			onOff = i;
		}

		int dfs(int s) {
			this.s = this.e = s;
			for (Node n : next) {
				e = n.dfs(e + 1);
			}
			return e;
		}

		public String toString() {
			return "(" + s + "," + e + "," + onOff + ")";
		}
	}

	Node[] g;

	void solve() {

		int N = ni();
		buildTree(na(N - 1), na(N));
		g[0].dfs(1);
//		tr(g);
		SegmentTree seg = new SegmentTree(1, N);
		for (Node n : g) {
			if (n.onOff == 1)
				seg.flip(n.s, n.s);
		}
		int Q = ni();
		while (Q-- > 0) {
			String op = ns();
			int v = ni() - 1;
			if ("get".equals(op)) {
				long ans = seg.query(g[v].s, g[v].e);
				out.println(ans);
			} else {
				seg.flip(g[v].s, g[v].e);
			}
		}

	}

	private void buildTree(int[] p, int[] a) {
		g = new Node[a.length];
		for (int i = 0; i < a.length; i++)
			g[i] = new Node(a[i]);
		for (int i = 0; i < p.length; i++)
			g[p[i] - 1].next.add(g[i + 1]);

	}

	class SegmentTree {
		public SegmentTree lc = null, rc = null;
		public long sum;
		boolean lazy;
		public int start, end;

		public SegmentTree(int start, int end) {
			this.start = start;
			this.end = end;
			if (start != end) {
				int mid = (start + end) >> 1;
				lc = new SegmentTree(start, mid);
				rc = new SegmentTree(mid + 1, end);
			}
		}

		public long range() {
			return end - start + 1;
		}

		public void push() {
			if (lc != null && lazy) {
				lc.lazy = !lc.lazy;
				lc.sum = lc.range() - lc.sum;
				
				rc.lazy = !rc.lazy;
				rc.sum = rc.range() - rc.sum;

				sum = lc.sum + rc.sum;
			}
			lazy = false;
		}

		public void flip(int b, int e) {
			if (b > end || start > e)
				return;

			if (b == start && e == end) {
				sum = range() - sum;
				lazy = !lazy;
				return;
			}

			push();

			int mid = (start + end) >> 1;
			if (mid >= e)
				lc.flip(b, e);
			else if (mid < b)
				rc.flip(b, e);
			else {
				lc.flip(b, mid);
				rc.flip(mid + 1, e);
			}
			sum = lc.sum + rc.sum;
		}

		public long query(int b, int e) {
			if (b > end || start > e)
				return 0;
			if (b == start && e == end) {
				return sum;
			}

			push();

			int mid = (start + end) >> 1;
			if (mid >= e)
				return lc.query(b, e);
			else if (mid < b)
				return rc.query(b, e);
			else
				return lc.query(b, mid) + rc.query(mid + 1, e);
		}
	}

	long power(long a, long b) {
		long x = 1, y = a;
		while (b > 0) {
			if (b % 2 != 0) {
				x = (x * y) % MOD;
			}
			y = (y * y) % MOD;
			b /= 2;
		}
		return x % MOD;
	}

	private long gcd(long a, long b) {
		while (a != 0) {
			long tmp = b % a;
			b = a;
			a = tmp;
		}
		return b;
	}

	void run() throws Exception {
		is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
		out = new PrintWriter(System.out);

		long s = System.currentTimeMillis();
		solve();
		out.flush();
		if (!INPUT.isEmpty())
			tr(System.currentTimeMillis() - s + "ms");
	}

	public static void main(String[] args) throws Exception {
		new Main().run();
	}

	private byte[] inbuf = new byte[1024];
	public int lenbuf = 0, ptrbuf = 0;

	private int readByte() {
		if (lenbuf == -1)
			throw new InputMismatchException();
		if (ptrbuf >= lenbuf) {
			ptrbuf = 0;
			try {
				lenbuf = is.read(inbuf);
			} catch (IOException e) {
				throw new InputMismatchException();
			}
			if (lenbuf <= 0)
				return -1;
		}
		return inbuf[ptrbuf++];
	}

	private boolean isSpaceChar(int c) {
		return !(c >= 33 && c <= 126);
	}

	private int skip() {
		int b;
		while ((b = readByte()) != -1 && isSpaceChar(b))
			;
		return b;
	}

	private double nd() {
		return Double.parseDouble(ns());
	}

	private char nc() {
		return (char) skip();
	}

	private String ns() {
		int b = skip();
		StringBuilder sb = new StringBuilder();
		while (!(isSpaceChar(b))) { // when nextLine, (isSpaceChar(b) && b != '
									// ')
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}

	private char[] ns(int n) {
		char[] buf = new char[n];
		int b = skip(), p = 0;
		while (p < n) {
			if (!(isSpaceChar(b)))
				buf[p++] = (char) b;
			b = readByte();
		}
		return n == p ? buf : Arrays.copyOf(buf, p);
	}

	private char[][] nm(int n, int m) {
		char[][] map = new char[n][];
		for (int i = 0; i < n; i++)
			map[i] = ns(m);
		return map;
	}

	private int[] na(int n) {
		int[] a = new int[n];
		for (int i = 0; i < n; i++)
			a[i] = ni();
		return a;
	}

	private Integer[] na2(int n) {
		Integer[] a = new Integer[n];
		for (int i = 0; i < n; i++)
			a[i] = ni();
		return a;
	}

	private int[][] na(int n, int m) {
		int[][] a = new int[n][];
		for (int i = 0; i < n; i++)
			a[i] = na(m);
		return a;
	}

	private Integer[][] na2(int n, int m) {
		Integer[][] a = new Integer[n][];
		for (int i = 0; i < n; i++)
			a[i] = na2(m);
		return a;
	}

	private int ni() {
		int num = 0, b;
		boolean minus = false;
		while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'))
			;
		if (b == '-') {
			minus = true;
			b = readByte();
		}

		while (true) {
			if (b >= '0' && b <= '9') {
				num = num * 10 + (b - '0');
			} else {
				return minus ? -num : num;
			}
			b = readByte();
		}
	}

	private long[] nl(int n) {
		long[] a = new long[n];
		for (int i = 0; i < n; i++)
			a[i] = nl();
		return a;
	}

	private long nl() {
		long num = 0;
		int b;
		boolean minus = false;
		while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'))
			;
		if (b == '-') {
			minus = true;
			b = readByte();
		}

		while (true) {
			if (b >= '0' && b <= '9') {
				num = num * 10 + (b - '0');
			} else {
				return minus ? -num : num;
			}
			b = readByte();
		}
	}

	private static void tr(Object... o) {
		System.out.println(Arrays.deepToString(o));
	}
}