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#F0775. Maximal Binary Matrix

    ID: 781 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 3 上传者: 标签>构造算法思想基础难度共享题库Codeforces英文题面题目来源题面语言

Maximal Binary Matrix

题目描述

A. Maximal Binary Matrix
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

You are given matrix with n rows and n columns filled with zeroes. You should put k ones in it in such a way that the resulting matrix is symmetrical with respect to the main diagonal (the diagonal that goes from the top left to the bottom right corner) and is lexicographically maximal.

One matrix is lexicographically greater than the other if the first different number in the first different row from the top in the first matrix is greater than the corresponding number in the second one.

If there exists no such matrix then output -1.

Input

The first line consists of two numbers n and k (1≤n≤100, 0≤k≤106).

Output

If the answer exists then output resulting matrix. Otherwise output -1.

Examples
Input
2 1
Output
1 0 
0 0
Input
3 2
Output
1 0 0 
0 1 0
0 0 0
Input
2 5
Output
-1


题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 202 题。保留原作者与原赛事署名。