Problem D. Square Country 3

时间限制 500 ms   内存限制 64 MB

The governor of Yekaterinozavodsk region had to deal with ambassadors from one of the nearby states — Square country. All square inhabitants of this country loved the squares of integers. So, they declared to the governor that they would build a square metropolitan from Yekaterinozavodsk to one of the suburbs only if he would be able to fill a rectangular table N ×  M with squares of different positive integers in such a way, that the sum of numbers in each row and in each column would also be a square. The governor wasn't a square man, and also he wasn't good in maths, so he asked for your help.

输入数据

The first line contains an integer T — the number of test cases (1 ≤  T ≤ 20). The following T lines contain the pairs of integers N and M (1 ≤  NM ≤ 20).

输出数据

For each test case output the required table: N lines with M numbers in each line. All numbers in the table shouldn't exceed 10 17. If there is no such table, output −1. Answers for different test cases should be delimited with an empty line.

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