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.util.*;
import java.io.*;

public class ProblemG
{

    static int mod = (int) (1e9+7);
    static InputReader in;
    static PrintWriter out;
    static ArrayList<Integer>[] g;
    static int[] st;
    static int[] et;
    static int time = 0;    
    
    static void dfs(int u){
        st[u] = time++;
        
        for(int v: g[u]){
            dfs(v);
        }
        et[u] = time - 1;
    }
    
    static class SegmentTree
    {
        int st[];
        int lazy[];
 
        SegmentTree(int n)  {
            st = new int[4*n];
            lazy = new int[4*n];
            build(0, n - 1, 1);
        }
        
        int getMid(int s, int e) {
            return (s+e)>>1;
        }
        
        void lazyupdate(int ss,int ee,int si){
            if(lazy[si] != 0){
                if(ss != ee){
                    lazy[2*si] ^= lazy[si];
                    lazy[2*si+1] ^= lazy[si];
                }
                st[si] = (ee-ss+1) - st[si];
                lazy[si] = 0;
            }
        }

        int merge(int a,int b){
            return a + b;
        }
        
        void update(int s, int e, int x, int y, int c, int si){
            if(s == x && e == y){
                lazy[si] ^= c;
            }
            else{
                lazyupdate(s, e, si);
                int mid = getMid(s, e);
                if(y <= mid)    
                    update(s, mid, x, y, c, 2*si);
                else if(x > mid)
                    update(mid + 1, e, x ,y ,c ,2*si + 1);
                else{
                    update(s, mid, x, mid, c, 2*si);
                    update(mid + 1, e, mid + 1, y, c, 2*si + 1);
                }
                lazyupdate(s, mid, 2*si);
                lazyupdate(mid + 1, e, 2*si + 1);
                st[si] = merge(st[2*si],st[2*si+1]);
            }
        }

        int get(int s, int e, int x, int y, int si){

            lazyupdate(s, e,si);
            if(s == x && e == y){
                return st[si];
            }
            int mid = getMid(s, e);
            if(y <= mid)
                return get(s, mid, x, y, 2*si);
            else if(x > mid)
                return get(mid + 1, e, x, y, 2*si + 1);
            return merge(get(s, mid, x, mid, 2*si), get(mid + 1, e, mid + 1, y, 2*si + 1));
        }

        void build(int ss, int se, int si){
            if (ss == se) {
                st[si] = 0;
                lazy[si] = 0;
                return;
            }

            int mid = getMid(ss, se);
            build(ss, mid, si * 2 );
            build(mid + 1, se, si * 2 + 1);
            lazy[si] = 0;
            st[si] = merge(st[2*si],st[2*si+1]);
        }
        
    }
    
    public static void main(String[] args)
    {
        in = new InputReader(System.in);
        out = new PrintWriter(System.out);            
        
        int n = in.nextInt();
        g = new ArrayList[n];
        st = new int[n];
        et = new int[n];
        for(int i = 0; i < n; i++)
            g[i] = new ArrayList<>();
        
        for(int i = 1; i < n; i++){
            int u = in.nextInt() - 1;
            g[u].add(i);
        }
        dfs(0);
        int[] arr = in.nextIntArray(n);
        SegmentTree seg = new SegmentTree(n);
        
        for(int i = 0; i < n; i++){
            seg.update(0, time, st[i], st[i], arr[i], 1);
        }
        
        int q = in.nextInt();
        
        while(q-- > 0){
            char c = in.readString().charAt(0);
            int x = in.nextInt() - 1;
            if(c == 'g'){
                out.println(seg.get(0, time, st[x], et[x], 1));
            }
            else{
                seg.update(0, time, st[x], et[x], 1, 1);
            }
        }
        
        out.close();
    }

    static class Pair implements Comparable<Pair>
    {

        int x,y;
        int i;


        Pair (int x,int y)
        {
                this.x = x;
                this.y = y;
        }

        Pair (int x,int y, int i)
        {
                this.x = x;
                this.y = y;
                this.i = i;
        }

        public int compareTo(Pair o)
        {
            return Integer.compare(this.y,o.y);
                //return 0;
        }

        public boolean equals(Object o)
        {
            if (o instanceof Pair)
            {
                Pair p = (Pair)o;
                return p.x == x && p.y==y;
            }
            return false;
        }

        @Override
        public String toString()
        {
            return x + " "+ y + " "+i;
        }

        /*public int hashCode()
        {
            return new Long(x).hashCode() * 31 + new Long(y).hashCode();
        }*/

    } 

    static long gcd(long x,long y)
    {
        if(y==0)
                return x;
        else
                return gcd(y,x%y);
    }

    static int gcd(int x,int y)
    {
        if(y==0)
                return x;
        else 
                return gcd(y,x%y);
    }

    static long pow(long n,long p,long m)
    {
         long  result = 1;
          if(p==0){
            return n;
          }
          
        while(p!=0)
        {
            if(p%2==1)
                result *= n;
            if(result >= m)
               result %= m;
            p >>=1;
            n*=n;
            if(n >= m)
                n%=m;
        }
        
        return result;
    }

    static long pow(long n,long p)
    {
        long  result = 1;
          if(p==0)
            return 1;

        while(p!=0)
        {
            if(p%2==1)
                result *= n;	    
            p >>=1;
            n*=n;	    
        }
        return result;
    }

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

    static class InputReader
    {

        private final InputStream stream;
        private final byte[] buf = new byte[8192];
        private int curChar, snumChars;
        private SpaceCharFilter filter;

        public InputReader(InputStream stream)
        {
                this.stream = stream;
        }

        public int snext()
        {
                if (snumChars == -1)
                        throw new InputMismatchException();
                if (curChar >= snumChars)
                {
                        curChar = 0;
                        try
                        {
                                snumChars = stream.read(buf);
                        } catch (IOException e)
                        {
                                throw new InputMismatchException();
                        }
                        if (snumChars <= 0)
                                return -1;
                }
                return buf[curChar++];
        }

        public int nextInt()
        {
                int c = snext();
                while (isSpaceChar(c))
                {
                        c = snext();
                }
                int sgn = 1;
                if (c == '-')
                {
                        sgn = -1;
                        c = snext();
                }
                int res = 0;
                do
                {
                        if (c < '0' || c > '9')
                                throw new InputMismatchException();
                        res *= 10;
                        res += c - '0';
                        c = snext();
                } while (!isSpaceChar(c));
                return res * sgn;
        }

        public long nextLong()
        {
                int c = snext();
                while (isSpaceChar(c))
                {
                        c = snext();
                }
                int sgn = 1;
                if (c == '-')
                {
                        sgn = -1;
                        c = snext();
                }
                long res = 0;
                do
                {
                        if (c < '0' || c > '9')
                                throw new InputMismatchException();
                        res *= 10;
                        res += c - '0';
                        c = snext();
                } while (!isSpaceChar(c));
                return res * sgn;
        }

        public int[] nextIntArray(int n)
        {
                int a[] = new int[n];
                for (int i = 0; i < n; i++)
                {
                        a[i] = nextInt();
                }
                return a;
        }

        public long[] nextLongArray(int n)
        {
                long a[] = new long[n];
                for (int i = 0; i < n; i++)
                {
                        a[i] = nextLong();
                }
                return a;
        }

        public String readString()
        {
                int c = snext();
                while (isSpaceChar(c))
                {
                        c = snext();
                }
                StringBuilder res = new StringBuilder();
                do
                {
                        res.appendCodePoint(c);
                        c = snext();
                } while (!isSpaceChar(c));
                return res.toString();
        }

        public String nextLine()
        {
                int c = snext();
                while (isSpaceChar(c))
                        c = snext();
                StringBuilder res = new StringBuilder();
                do
                {
                        res.appendCodePoint(c);
                        c = snext();
                } while (!isEndOfLine(c));
                return res.toString();
        }

        public boolean isSpaceChar(int c)
        {
                if (filter != null)
                        return filter.isSpaceChar(c);
                return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        private boolean isEndOfLine(int c)
        {
                return c == '\n' || c == '\r' || c == -1;
        }

        public interface SpaceCharFilter
        {
                public boolean isSpaceChar(int ch);
        }

    }
}