"The
fire will eventually extinguish."
as an unkindled ash, your mission is to
continue the Age of Fire, link the fire.
Finally you got N cinders' souls to
restrike the first fire, but some of the fire seedbed is too fragile.
You now have N souls altogether, meanwhile
the number of fire seedbed is also N.For each fire seedbed, you need at least
A_i energy to restrike it, and each souls' energy is represented as a positive
integer B_i.
notice that each fire seedbed only and must
put in one cinders' soul, even if the energe of souls can not restrike it.
you need to restrike *exactly* K fire
seedbed to accomplish mission as a Ash. Now you want to find out that How many
ways you can restrike the fire.
(you can assume that put the souls one by
one into the different fire seedbed as an independent solution).
输入格式:
First line contains a positive integer T,
represent the number of testcases.
For each testcase, first line contains two
positive interger n and k, represent the number of fire seedbed, and the at
number of fire you need to restrike exactly.
next lines contains n integers A_i,
represent the energe which each fire seedbed needs.
next lines contains n integers B_i,
represent the energe of each cinders' souls.
0 <= T <= 20;
0 <= K <= N <= 2000;
0 <= A_i, B_i <= 1000000000;
0 <= \sum_{N} <= 4000;
输出格式:
For
each testcase, output the number of solution mod by 10^9+7.