You are given a marine area map that is a mesh of squares, each representing either a land or sea area. Figure B-1 is an example of a map.

<image>
Figure B-1: A marine area map

You can walk from a square land area to another if they are horizontally, vertically, or diagonally adjacent to each other on the map. Two areas are on the same island if and only if you can walk from one to the other possibly through other land areas. The marine area on the map is surrounded by the sea and therefore you cannot go outside of the area on foot.

You are requested to write a program that reads the map and counts the number of islands on it. For instance, the map in Figure B-1 includes three islands.

Input

The input consists of a series of datasets, each being in the following format.

> w h
>  c1,1 c1,2 ... c1,w
>  c2,1 c2,2 ... c2,w
>  ...
>  ch,1 ch,2 ... ch,w
>

w and h are positive integers no more than 50 that represent the width and the height of the given map, respectively. In other words, the map consists of w×h squares of the same size. w and h are separated by a single space.

ci, j is either 0 or 1 and delimited by a single space. If ci, j = 0, the square that is the i-th from the left and j-th from the top on the map represents a sea area. Otherwise, that is, if ci, j = 1, it represents a land area.

The end of the input is indicated by a line containing two zeros separated by a single space.

Output

For each dataset, output the number of the islands in a line. No extra characters should occur in the output.

Sample Input


1 1
0
2 2
0 1
1 0
3 2
1 1 1
1 1 1
5 4
1 0 1 0 0
1 0 0 0 0
1 0 1 0 1
1 0 0 1 0
5 4
1 1 1 0 1
1 0 1 0 1
1 0 1 0 1
1 0 1 1 1
5 5
1 0 1 0 1
0 0 0 0 0
1 0 1 0 1
0 0 0 0 0
1 0 1 0 1
0 0


Output for the Sample Input


0
1
1
3
1
9






Example

Input

1 1
0
2 2
0 1
1 0
3 2
1 1 1
1 1 1
5 4
1 0 1 0 0
1 0 0 0 0
1 0 1 0 1
1 0 0 1 0
5 4
1 1 1 0 1
1 0 1 0 1
1 0 1 0 1
1 0 1 1 1
5 5
1 0 1 0 1
0 0 0 0 0
1 0 1 0 1
0 0 0 0 0
1 0 1 0 1
0 0


Output

0
1
1
3
1
9
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main
{
	public static final int countMax = 30;


	public static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

	public static void main(String[] args) throws NumberFormatException, IOException
	{
		// TODO 自動生成されたメソッド・スタブ
		while(true)
		{
			String temp[] = input(2);
			if(temp[0].equals("0") && temp[1].equals("0")) break;
			int[] size = {Integer.parseInt(temp[0]), Integer.parseInt(temp[1])};
			int[][] a = new int[size[0]][size[1]];
			int[][] union = new int[size[0]][size[1]];
			boolean[][] find = new boolean[size[0]][size[1]];
			for(int i = 0; i < size[1]; i++)
			{
				String[] str = input(size[0]);
				for(int j = 0; j < size[0]; j++)
				{
					union[j][i] = j + i * union.length;
					a[j][i] = Integer.parseInt(str[j]);
					if(a[j][i] == 1) find[j][i] = true;
					else find[j][i] = false;
				}
			}

			for(int i = 0; i < size[1]; i++)
			{
				for(int j = 0; j < size[0]; j++)
				{
					if(a[j][i] != 1) continue;
					for(int k = 0; k < 4; k++)
					{
						//System.err.println(i + " " + j + " " + k + " " + a[j][i] + " " + find[j][i]);
						try
						{
							if(k < 3)
							{
								//System.err.println(a[j-1+k][i-1]);
								if(a[j-1+k][i-1] == 1) addUnionFind(union, (j-1+k)+(i-1)*a.length, j+i*a.length, find);
							}
							else
							{
								//System.err.println(a[j-1][i]);
								if(a[j-1][i] == 1) addUnionFind(union, (j-1)+i*a.length, j+i*a.length, find);
							}
						}
						catch(IndexOutOfBoundsException e)
						{
							//e.printStackTrace();
						}
					}
				}
			}

			int sum = 0;
			for(int i = 0; i < size[1]; i++)
			{
				for(int j = 0; j < size[0]; j++)
				{
					if(find[j][i]) sum++;
				}
			}
			System.out.println(sum);
		}
	}

	public static void addUnionFind(int a[][], int b, int c, boolean d[][])
	{
		//System.err.println("UnionFind" + " " + b%a.length + " " + b/a.length + " " + c%a.length + " " + c/a.length);
		int e = b;
		while(true)
		{
			boolean tempb = d[e%a.length][e/a.length];
			if(tempb) break;
			e = a[e%a.length][e/a.length];
		}
		//System.err.println("EDEFINED");
		int f = c;
		while(true)
		{
			boolean tempb = d[f%a.length][f/a.length];
			//System.err.println("F: " + f + " " + tempb);
			if(tempb) break;
			f = a[f%a.length][f/a.length];
		}
		//System.err.println("FDEFINED");
		//System.err.println("e:" + e + " f:" + f + " b:" + b + " c:" + c + " " + a[b%a.length][b/a.length] + " " + a[c%a.length][c/a.length]);
		d[c%a.length][c/a.length] = false;
		a[c%a.length][c/a.length] = b;
		//System.err.println("e:" + e + " f:" + f + " b:" + b + " c:" + c + " " + a[b%a.length][b/a.length] + " " + a[c%a.length][c/a.length]);
		if(e == f) return;
		else if(e > f)
		{
			d[e%a.length][e/a.length] = false;
			a[e%a.length][e/a.length] = f;
		}
		else
		{
			d[f%a.length][f/a.length] = false;
			a[f%a.length][f/a.length] = e;
		}
	}

	public static boolean checkWin(char[][] str, int num, int select, int select2, boolean[] b)
	{
		boolean b2 = false;
		//if(num % 3 == 2) System.err.print("| " + str[0][select] + " " + str[0][select2] + " ");
		if(num % 3 == 0)
		{
			for(int i = 0; i < 9; i++)
			{
				if(b2) return true;
				//if(num == 0) System.out.println(i);
				if(b[i]) continue;
				b[i] = true;
				b2 = checkWin(str, num + 1, i, 0, b);
				b[i] = false;
			}
		}
		else if(num % 3 == 1)
		{
			for(int i = 0; i < 9; i++)
			{
				//System.err.println(b[i] + " " + i);
				if(b[i]) continue;
				for(int j = -1; j < 2; j++)
				{
					if(b2) return true;
					if(str[0][select] == str[0][i] + j && str[1][select] == str[1][i])
					{
						//System.err.println(str[0][select] + " " + str[0][i] + " " + select + " " + i);
						b[i] = true;
						b2 = checkWin(str, num + 1, select, i, b);
						b[i] = false;
					}
				}
			}
		}
		else if(num % 3 == 2)
		{
			for(int i = 0; i < 9; i++)
			{
				if(b[i]) continue;
				for(int j = -1; j < 2; j++)
				{
					if(b2) return true;
					//System.err.println(str[0][select] + " " + str[0][select2] + " " + str[0][i] + " " + j + " " + i + " " + num);
					if(num == 8)
					{

						if(str[1][select] == str[1][i] && str[1][select2] == str[1][i])
						{
							if(j == 0)
							{
								if(str[0][select] == str[0][i] && str[0][select2] == str[0][i]) return true;
							}
							else
							{
								//System.err.println((str[0][select] == str[0][i] + j) + " " + (str[0][select2] != str[0][i] && str[0][select] != str[0][select2]));
								//System.err.println((str[0][select2] == str[0][i] + j) + " " + (str[0][select] != str[0][i] && str[0][select] != str[0][select2]));
								if(str[0][select] == str[0][i] + j)
								{
									if(str[0][select2] != str[0][i] && str[0][select] != str[0][select2]) return true;
								}
								if(str[0][select2] == str[0][i] + j)
								{
									if(str[0][select] != str[0][i] && str[0][select2] != str[0][select]) return true;
								}
							}
						}
					}
					else
					{
						if(str[1][select] == str[1][i] && str[1][select2] == str[1][i])
						{
							if(j == 0)
							{
								if(str[0][select] == str[0][i] && str[0][select2] == str[0][i])
								{
									b[i] = true;
									b2 = checkWin(str, num + 1, 0, 0, b);
									b[i] = false;
								}
							}
							else
							{
								if(str[0][select] == str[0][i] + j)
								{
									if(str[0][select2] != str[0][i] && str[0][select] != str[0][select2])
									{
										b[i] = true;
										b2 = checkWin(str, num + 1, 0, 0, b);
										b[i] = false;
									}
								}
								if(str[0][select2] == str[0][i] + j)
								{
									if(str[0][select] != str[0][i] && str[0][select2] != str[0][select])
									{
										b[i] = true;
										b2 = checkWin(str, num + 1, 0, 0, b);
										b[i] = false;
									}
								}
							}
						}
						/*if(((str[0][select] == str[0][i] + j && j != 0) || (j == 0 && str[0][select] == str[0][i])) && str[1][select] == str[1][i])
						{
							if((j == 0 && str[0][select2] == str[0][i]) || (j != 0 && str[0][select2] != str[0][i]))
							{
								//System.err.println(str[0][i] + " " + num + " " + j);
								b[i] = true;
								b2 = checkWin(str, num + 1, 0, 0, b);
								b[i] = false;
							}
						}
						if(((str[0][select2] == str[0][i] + j && j != 0) || (j == 0 && str[0][select2] == str[0][i])) && str[1][select2] == str[1][i])
						{
							if((j == 0 && str[0][select] == str[0][i]) || (j != 0 && str[0][select] != str[0][i]))
							{
								//System.err.println(str[0][i] + " " + num + " " + j);
								b[i] = true;
								b2 = checkWin(str, num + 1, 0, 0, b);
								b[i] = false;
							}
						}//*/
					}
				}
			}
		}
		return b2;
	}

	public static int loop(int num, int sum, int max, boolean[] b, int now, int upper)
	{
		int a = num;
		if(max == now)
		{
			int c = 0;
			for(int i = 0; i < 10; i++)
			{
				if(b[i]) c += i;
			}
			for(int i = upper; i < 10; i++)
			{
				if(b[i]) continue;
				if(c + i == sum)
				{
					//System.err.println(sum + " " + c + " " + i);
					a++;
				}
			}
		}
		else
		{
			for(int i = upper; i < 10; i++)
			{
				if(b[i]) continue;
				b[i] = true;
				a = loop(a, sum, max, b, now + 1, i);
				b[i] = false;
			}
		}
		return a;
	}

	public static int[] toIntArray(int a)
	{
		int b[] = new int[8];
		for(int i = 0; i < 8; i++)
		{
			b[i] = (a >> (i * 3) & 0b111);
		}
		return b;
	}

	public static int toInt(int[] a)
	{
		int b = 0;
		for(int i = a.length - 1; i >= 0; i--)
		{
			b = b << 3;
			b+=a[i];
		}
		return b;
	}

	public static int toInt(Integer[] a)
	{
		int b = 0;
		for(int i = a.length - 1; i >= 0; i--)
		{
			b = b << 3;
			b+=a[i];
		}
		return b;
	}

	static void QuickSort(int[] d, int left, int right) {
		if (left>=right) {
			return;
		}
		int p = d[(left+right)/2];
		int l = left, r = right, tmp;
		while(l<=r) {
			while(d[l] < p) { l++; }
			while(d[r] > p) { r--; }
			if (l<=r) {
				tmp = d[l]; d[l] = d[r]; d[r] = tmp;
				l++; r--;
			}
		}
		QuickSort(d, left, r);
		QuickSort(d, l, right);
    }

	static void QuickSort(char[] d, int left, int right, char[] c) {
		if (left>=right) {
			return;
		}
		int p = d[(left+right)/2];
		int l = left, r = right;
		char tmp;
		while(l<=r) {
			while(d[l] < p) { l++; }
			while(d[r] > p) { r--; }
			if (l<=r) {
				tmp = d[l]; d[l] = d[r]; d[r] = tmp;
				tmp = c[l]; c[l] = c[r]; c[r] = tmp;
				l++; r--;
			}
		}
		QuickSort(d, left, r, c);
		QuickSort(d, l, right, c);
    }

	public static boolean SeparateSearch(int[] a, int b, int first, int end)
	{
		if(end - first <= 1)
		{
			if(a[first] == b) return true;
			else if(a[end] == b) return true;
			else return false;
		}
		else
		{
			int temp = (end + first) / 2;
			if(a[temp] == b) return true;
			else if(a[temp] < b) return SeparateSearch(a, b, temp, end);
			else return SeparateSearch(a, b, first, temp);
		}
	}

	public static int GCD(int x, int y)
	{
		int z = Math.max(x, y) % Math.min(x, y);
		if(z == 0) return Math.min(x, y);
		return GCD(z, Math.min(y, x));
	}

	public static int SelectionSort(int a[])
	{
		int Select = 0;
		for(int j = 0; j < a.length - 1; j++)
		{
			int[] min = {0, Integer.MAX_VALUE};
			for(int i = j; i < a.length; i++)
			{
				if(min[1] > a[i])
				{
					min[1] = a[i];
					min[0] = i;
				}
			}
			if(j != min[0])
			{
				Select++;
				swap(a, min[0], j);
			}
		}
		return Select;
	}

	public static int BubbleSort(int a[])
	{
		int swapp = 0;
		boolean flag = true;
		while(flag)
		{
			flag = false;
			for(int i = 0; i < a.length - 1; i++)
			{
				if(a[i] > a[i+1])
				{
					swapp++;
					swap(a, i, i+1);
					flag = true;
				}
			}
		}
		return swapp;
	}

	public static void swap(int[] a, int x, int y)
	{
		a[x] = a[x] ^ a[y];
		a[y] = a[x] ^ a[y];
		a[x] = a[x] ^ a[y];
	}

	public static String[] inputOne() throws IOException
	{
		String str2 = br.readLine();
		String[] str = new String[str2.length()];
		for(int i = 0; i < str.length; i++)
		{
			if(i < str.length - 1)
			{
				str[i] = str2.substring(i, i+1);
			}
			else
			{
				str[i] = str2.substring(i);
			}
		}
		return str;
	}

	public static String[] input(int Num) throws IOException
	{
		String str[] = new String[Num];
		String str2 = br.readLine();
		int j = 0;
		for(int i = 0; i < Num; i++)
		{
			if(i < Num - 1)
			{
				str[i] = str2.substring(j, str2.indexOf(" ", j));
				j = str2.indexOf(" ", j) + 1;
			}
			else
			{
				str[i] = str2.substring(j);
			}
		}
		return str;
	}
	//*/

	/*

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	 */




}

