# Four Arrays FOURARR Solution Codechef

## Four Arrays FOURARR Solution Codechef

You have been given an integer K and four arrays A, B, C, and D with sizes SA, SB, SC and SD respectively.

Follow the given steps:

Pick four indices x, y, z, and w from arrays A, B, C, and D respectively. Note that (1≤x≤SA), (1≤y≤SB), (1≤z≤SC) and (1≤w≤SD).
There are in total SA×SB×SC×SD ways to do the above step. For each way, write down the value of (Ax+By)×(Cz+Dw) on a board.
Sort all the numbers written on the board in non-decreasing order.
Find the Kth element written on the board.

Input Format
First line contains five integers SA, SB, SC, SD and K.
The second line contains SA space-separated integers A1,A2,…,ASA denoting the array A.
The third line contains SB space-separated integers B1,B2,…,BSB denoting the array B.
The fourth line contains SC space-separated integers C1,C2,…,CSC denoting the array C.
The fifth line contains SD space-separated integers D1,D2,…,DSD denoting the array D.
Output Format
For each test case, output the required number in a single line .

Constraints
1≤SA,SB,SC,SD≤3⋅104
1≤K≤SA×SB×SC×SD
0≤Ai,Bi,Ci,Di≤105
Sample Input 1
2 1 3 2 10
2 3
2
1 1 2
3 1
Sample Output 1
20
Explanation
After sorting the numbers on the board are in the following order {8,8,10,10,12,15,16,16,20,20,20,25}. So, the 10th number is 20.

SOLUTION WILL BE UPLOADED NEXT DAY

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