Leonid wants to become a glass carver (the person who creates beautiful artworks by cutting the glass). He already has a rectangular w mm  ×  h mm sheet of glass, a diamond glass cutter and lots of enthusiasm. What he lacks is understanding of what to carve and how.

In order not to waste time, he decided to practice the technique of carving. To do this, he makes vertical and horizontal cuts through the entire sheet. This process results in making smaller rectangular fragments of glass. Leonid does not move the newly made glass fragments. In particular, a cut divides each fragment of glass that it goes through into smaller fragments.

After each cut Leonid tries to determine what area the largest of the currently available glass fragments has. Since there appear more and more fragments, this question takes him more and more time and distracts him from the fascinating process.

Leonid offers to divide the labor — he will cut glass, and you will calculate the area of the maximum fragment after each cut. Do you agree?

Input

The first line contains three integers w, h, n (2 ≤ w, h ≤ 200 000, 1 ≤ n ≤ 200 000).

Next n lines contain the descriptions of the cuts. Each description has the form H y or V x. In the first case Leonid makes the horizontal cut at the distance y millimeters (1 ≤ y ≤ h - 1) from the lower edge of the original sheet of glass. In the second case Leonid makes a vertical cut at distance x (1 ≤ x ≤ w - 1) millimeters from the left edge of the original sheet of glass. It is guaranteed that Leonid won't make two identical cuts.

Output

After each cut print on a single line the area of the maximum available glass fragment in mm2.

Examples

Input

4 3 4
H 2
V 2
V 3
V 1


Output

8
4
4
2


Input

7 6 5
H 4
V 3
V 5
H 2
V 1


Output

28
16
12
6
4

Note

Picture for the first sample test: 

<image> Picture for the second sample test:  <image>
import java.io.*;
import java.util.*;
import java.math.*;
import java.math.BigInteger;


public final class A
{    
	static PrintWriter out = new PrintWriter(System.out); 
	static StringBuilder ans=new StringBuilder();
	static FastReader in=new FastReader();
	static ArrayList<ArrayList<Integer>> g;
	static long mod=(long)1e9+7,INF=Long.MAX_VALUE;
	static boolean set[],col[]; 
	static int par[],tot[],partial[];
	static int D[],P[][];
	static long dp[][],max=0;
	static long seg[];
	//static pair moves[]= {new pair(-1,0),new pair(1,0), new pair(0,-1), new pair(0,1)};
	public static void main(String args[])throws IOException
	{				
		
			int W=i(),H=i(),N=i();
			long max_w=W,max_h=H;
			TreeSet<Integer> width=new TreeSet<>();
			TreeSet<Integer> height=new TreeSet<>();
			TreeMap<Integer,Integer> fh=new TreeMap<>();
			TreeMap<Integer,Integer> fw=new TreeMap<>();
			width.add(0);height.add(0);
			width.add(W);height.add(H);
			fh.put(H,1);
			fw.put(W, 1);
			while(N-->0)
			{
				if(in.next().charAt(0)=='H')
				{
					int a=i();
                    int r=height.ceiling(a+1),l=height.floor(a-1);
                    height.add(a);
                    int f=fh.get(r-l);
                    if(f==1)fh.remove(r-l);
                    else fh.put(r-l,f-1);
                    f=fh.getOrDefault(r-a, 0)+1;
                    fh.put(r-a, f);
                    f=fh.getOrDefault(a-l, 0)+1;
                    fh.put(a-l, f);                   
                    max_h=fh.lastKey();
				}
				else
				{
					int a=i();
                    int r=width.ceiling(a+1),l=width.floor(a-1);
                    width.add(a);
                    int f=fw.get(r-l);
                    if(f==1)fw.remove(r-l);
                    else fw.put(r-l,f-1);
                    f=fw.getOrDefault(r-a, 0)+1;
                    fw.put(r-a, f);
                    f=fw.getOrDefault(a-l, 0)+1;
                    fw.put(a-l, f);                   
                    max_w=fw.lastKey();
				}
				long s=max_w*max_h;
				ans.append(s+"\n");
			}
		
		out.println(ans);
		out.close();
	}
	static long f1(long a,long A[],long bits[],long sum)
	{
		long s=A.length;
		s=mul(s,a);
		s=(s+(sum%mod))%mod;
		long p=1L;
		for(long x:bits)
		{
			if((a&p)!=0)s=((s-mul(x,p))+mod)%mod;
			p<<=1;
		}
		return s;
	}
	static long f2(long a,long A[],long bits[])
	{
		long s=0;
		long p=1L;
		for(long x:bits)
		{
			if((a&p)!=0)
			{
				s=(s+mul(p,x))%mod;
			}
			p<<=1;
		}
		return s;
	}
	static long f(long x1,long y1,long x2,long y2)
	{
		return Math.abs(x1-x2)+Math.abs(y1-y2);
	}
	static long f(long x,long max,long s)
	{
		long l=-1,r=(x/s)+1;
		while(r-l>1)
		{
			long m=(l+r)/2;
			if(x-m*s>max)l=m;
			else r=m;
		}
		return l+1;
	}
	static int f(long A[],long x)
	{
		int l=-1,r=A.length;
		while(r-l>1)
		{
			int m=(l+r)/2;
			if(A[m]>=x)r=m;
			else l=m;			
		}
		return r;
	}
	static void build(int v,int tl,int tr,long A[])
	{
		if(tl==tr)
		{
			seg[v]=A[tl];
			return;
		}
		int tm=(tl+tr)/2;
		build(v*2,tl,tm,A);
		build(v*2+1,tm+1,tr,A);
		seg[v]=GCD(seg[v*2],seg[v*2+1]);
	}
	static long ask(int v,int tl,int tr,int l,int r)
	{
		if(tl==l && tr==r)return seg[v];
		int tm=(tl+tr)/2;
		if(r<=tm)
		{
			return ask(v*2,tl,tm,l,r);
		}
		else if(l>tm)
		{
			return ask(v*2+1,tm+1,tr,l,r);
		}
		else
		{
			return GCD(ask(v*2,tl,tm,l,tm),ask(v*2+1,tm+1,tr,tm+1,r));
		}
	}

	static int bin(int x,ArrayList<Integer> A)
	{
		int l=0,r=A.size()-1;
		while(l<=r)
		{
			int m=(l+r)/2;
			int a=A.get(m);
			if(a==x)return m;
			if(a<x)l=m+1;
			else r=m-1;
		}
		return 0;
	}
	static int left(int x,ArrayList<Integer> A)
	{
		int l=-1,r=A.size();
		while(r-l>1)
		{
			int m=(l+r)/2;
			int a=A.get(m);
			if(a<=x)l=m;
			else r=m;
		}
		return l;
	}
	static int right(int x,ArrayList<Integer> A)
	{
		int l=-1,r=A.size();
		while(r-l>1)
		{
			int m=(l+r)/2;
			int a=A.get(m);
			if(a<x)l=m;
			else r=m;
		}
		return r;
	}



	static boolean equal(long A[],long B[])
	{
		for(int i=0; i<A.length; i++)if(A[i]!=B[i])return false;
		return true;	
	}


	static int max(int a ,int b,int c,int d)
	{
		a=Math.max(a, b);
		c=Math.max(c,d);
		return Math.max(a, c);
	}
	static int min(int a ,int b,int c,int d)
	{
		a=Math.min(a, b);
		c=Math.min(c,d);
		return Math.min(a, c);
	}



	static HashMap<Integer,Integer> Hash(int A[])
	{
		HashMap<Integer,Integer> mp=new HashMap<>();
		for(int a:A)
		{
			int f=mp.getOrDefault(a,0)+1;
			mp.put(a, f);
		}
		return mp;
	}
	static long mul(long a, long b)
	{
		return ( a %mod * 1L * b%mod )%mod;
	}
	static void swap(int A[],int a,int b)
	{
		int t=A[a];
		A[a]=A[b];
		A[b]=t;
	}


	static int find(int a)
	{
		if(par[a]<0)return a;
		return par[a]=find(par[a]);
	}
	static void union(int a,int b)
	{
		a=find(a);
		b=find(b);
		if(a!=b)
		{
			par[a]+=par[b];
			par[b]=a;
		}
	}
	static boolean isSorted(int A[])
	{
		for(int i=1; i<A.length; i++)
		{
			if(A[i]<A[i-1])return false;
		}
		return true;
	}

	static boolean isDivisible(StringBuilder X,int i,long num)
	{
		long r=0;
		for(; i<X.length(); i++)
		{
			r=r*10+(X.charAt(i)-'0');
			r=r%num;
		}
		return r==0;
	}    



	static int lower_Bound(int A[],int low,int high, int x) 
	{ 
		if (low > high) 
			if (x >= A[high]) 
				return A[high]; 

		int mid = (low + high) / 2; 

		if (A[mid] == x) 
			return A[mid]; 

		if (mid > 0 && A[mid - 1] <= x && x < A[mid]) 
			return A[mid - 1]; 

		if (x < A[mid]) 
			return lower_Bound( A, low, mid - 1, x); 

		return lower_Bound(A, mid + 1, high, x); 
	} 

	static String f(String A)
	{
		String X="";
		for(int i=A.length()-1; i>=0; i--)
		{
			int c=A.charAt(i)-'0';
			X+=(c+1)%2;
		}
		return X;
	}

	static void sort(long[] a) //check for long
	{
		ArrayList<Long> l=new ArrayList<>();
		for (long i:a) l.add(i);
		Collections.sort(l);
		for (int i=0; i<a.length; i++) a[i]=l.get(i);
	}

	static String swap(String X,int i,int j)
	{
		char ch[]=X.toCharArray();
		char a=ch[i];
		ch[i]=ch[j];
		ch[j]=a;
		return new String(ch);
	}

	static int sD(long n)  
	{  

		if (n % 2 == 0 )  
			return 2;  

		for (int i = 3; i * i <= n; i += 2) {  
			if (n % i == 0 )  
				return i;  
		}  

		return (int)n;  
	}  

	static void setGraph(int N)
	{
		tot=new int[N+1];
		partial=new int[N+1];
		D=new int[N+1];
		P=new int[N+1][(int)(Math.log(N)+10)];
		set=new boolean[N+1];
		g=new ArrayList<ArrayList<Integer>>();
		for(int i=0; i<=N; i++)
		{

			g.add(new ArrayList<>());		
			D[i]=0;
			//D2[i]=INF;
		}
	}



	static  long pow(long a,long b)
	{
		//long mod=1000000007;
		long pow=1;
		long x=a;
		while(b!=0)
		{
			if((b&1)!=0)pow=(pow*x)%mod;
			x=(x*x)%mod;
			b/=2;
		}
		return pow;
	}

	static long toggleBits(long x)//one's complement || Toggle bits
	{
		int n=(int)(Math.floor(Math.log(x)/Math.log(2)))+1;

		return ((1<<n)-1)^x;
	}

	static int countBits(long a)
	{
		return (int)(Math.log(a)/Math.log(2)+1);
	}

	static long fact(long N)
	{ 
		long n=2; 
		if(N<=1)return 1;
		else
		{
			for(int i=3; i<=N; i++)n=(n*i)%mod;
		}
		return n;
	}

	static int kadane(int A[])
	{
		int lsum=A[0],gsum=A[0];
		for(int i=1; i<A.length; i++)
		{
			lsum=Math.max(lsum+A[i],A[i]);
			gsum=Math.max(gsum,lsum);
		}
		return gsum;
	}

	static void sort(int[] a) {
		ArrayList<Integer> l=new ArrayList<>();
		for (int i:a) l.add(i);
		Collections.sort(l);
		for (int i=0; i<a.length; i++) a[i]=l.get(i);
	}

	static boolean isPrime(long N)
	{
		if (N<=1)  return false; 
		if (N<=3)  return true; 
		if (N%2 == 0 || N%3 == 0) return false; 
		for (int i=5; i*i<=N; i=i+6) 
			if (N%i == 0 || N%(i+2) == 0) 
				return false; 
		return true; 
	}
	static void print(char A[])
	{
		for(char c:A)System.out.print(c+" ");
		System.out.println();
	}
	static void print(boolean A[])
	{
		for(boolean c:A)System.out.print(c+" ");
		System.out.println();
	}
	static void print(int A[])
	{
		for(int a:A)System.out.print(a+" ");
		System.out.println();	
	}
	static void print(long A[])
	{
		for(long i:A)System.out.print(i+ " ");
		System.out.println();

	}
	static void print(ArrayList<Integer> A)
	{
		for(int a:A)System.out.print(a+" ");
		System.out.println();
	}

	static int i()
	{
		return in.nextInt();
	}

	static long l()
	{
		return in.nextLong();
	}

	static int[] input(int N){
		int A[]=new int[N];
		for(int i=0; i<N; i++)
		{
			A[i]=in.nextInt();
		}
		return A;
	}

	static long[] inputLong(int N)     {
		long A[]=new long[N];
		for(int i=0; i<A.length; i++)A[i]=in.nextLong();
		return A;
	}

	static long GCD(long a,long b) 
	{
		if(b==0)
		{
			return a;
		}
		else return GCD(b,a%b );
	}

}
//class edge 
//{
//	int s,max;
//	edge(int s,int max)
//	{
//		this.s=s;
//		this.max=max;
//	}
//}


//Code For FastReader
//Code For FastReader
//Code For FastReader
//Code For FastReader
class FastReader
{
	BufferedReader br;
	StringTokenizer st;
	public FastReader()
	{
		br=new BufferedReader(new InputStreamReader(System.in));
	}

	String next()
	{
		while(st==null || !st.hasMoreElements())
		{
			try
			{
				st=new StringTokenizer(br.readLine());
			}
			catch(IOException e)
			{
				e.printStackTrace();
			}
		}
		return st.nextToken();
	}

	int nextInt()
	{
		return Integer.parseInt(next());
	}

	long nextLong()
	{
		return Long.parseLong(next());
	}

	double nextDouble()
	{
		return Double.parseDouble(next());
	}

	String nextLine()
	{
		String str="";
		try
		{
			str=br.readLine();
		}
		catch (IOException e)
		{
			e.printStackTrace();
		}
		return str;
	}

}