Problem: We have a square grid with H rows and W columns. Snuke wants to write 0 or 1 in each of the squares. Here, all of the following conditions have to be satisfied:

* For every row, the smaller of the following is A: the number of 0s contained in the row, and the number of 1s contained in the row. (If these two numbers are equal, “the smaller” should be read as “either”.)
* For every column, the smaller of the following is B: the number of 0s contained in the column, and the number of 1s contained in the column.



Determine if these conditions can be satisfied by writing 0 or 1 in each of the squares. If the answer is yes, show one way to fill the squares so that the conditions are satisfied.

Constraints

* 1 \leq H,W \leq 1000
* 0 \leq A
* 2 \times A \leq W
* 0 \leq B
* 2 \times B \leq H
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


H W A B


Output

If the conditions cannot be satisfied by writing 0 or 1 in each of the squares, print -1.

If the conditions can be satisfied, print one way to fill the squares so that the conditions are satisfied, in the following format:


s_{11}s_{12}\cdots s_{1W}
s_{21}s_{22}\cdots s_{2W}
\vdots
s_{H1}s_{H2}\cdots s_{HW}


Here s_{ij} is the digit written in the square at the i-th row from the top and the j-th column from the left in the grid.

If multiple solutions exist, printing any of them will be accepted.

Examples

Input

3 3 1 1


Output

100
010
001


Input

1 5 2 0


Output

01010

Solution (in JAVA):

Solution:
import java.io.PrintStream;
import java.util.Scanner;

public class Main {
	static final PrintStream out = System.out;
	static final Scanner sc = new Scanner(System.in);
	static final long Mod = 1000_000_007L;
	public static void main(String[] args) {
		Main main = new Main();
		main.solve();
		System.exit(0);
	}

	void solve() {
		int H = nextInt();
		int W = nextInt();
		int A = W - nextInt();
		int B = H - nextInt();

		int[][] map = new int[H][W];
		int[] h = new int[H];
		int[] w = new int[W];

		for(int i=0;i<H;i++) {
			for(int j=0;j<W;j++) {
				if(h[i]<A&&w[j]<B) {
					map[i][j] = 1;
					h[i]++;
					w[j]++;
				}
			}
		}

		int cntA = 0,cntB = 0;
		for(int i=0;i<H;i++) {
			if(h[i] == A)cntA++;
		}
		for(int j=0;j<W;j++) {
			if(w[j] == B)cntB++;
		}
		if(cntA != B||cntB != A) {
			out.println("No");
			return;
		}

		StringBuilder buf = new StringBuilder();
		for(int i=0;i<H;i++) {
			for(int j=0;j<W;j++) {
				buf.append(map[i][j]);
			}
			buf.append(System.getProperty("line.separator"));
		}
		out.print(buf);
	}

	public int nextInt() {
		return Integer.parseInt(next());
	}
	public long nextLong() {
		return Long.parseLong(next());
	}
	public String next() {
		return sc.next();
	}

}