Maximum Product SOLUTION
You are given a variety of numbers a1,a2,… ,an. Locate the most extreme conceivable estimation of aiajakalat among every one of the five lists (i,j,k,l,t) (i<j<k<l<t).
Information
The information comprises of various experiments. The main line contains a number t (1≤t≤2⋅104) — the quantity of experiments. The depiction of the experiments follows.
The principal line of each experiment contains a solitary whole number n (5≤n≤105) — the size of the cluster.
The second line of each experiment contains n whole numbers a1,a2,… ,a (−3×103≤ai≤3×103) — given exhibit.
It’s ensured that the aggregate of n over all experiments doesn’t surpass 2⋅105.
Yield
For each experiment, print one number — the response to the issue.
Model
inputCopy
4
5
– 1 – 2 – 3 – 4 – 5
6
– 1 – 2 – 3 1 2 – 1
6
– 1 0 – 1 – 1
6
– 9 – 7 – 5 – 3 – 2 1
outputCopy
– 120
12
0
945
Note
In the main experiment, picking a1,a2,a3,a4,a5 is a most ideal decision: (−1)⋅2⋅(−3)⋅(−4)⋅(−5)=−120.
In the subsequent experiment, picking a1,a2,a3,a5,a6 is a most ideal decision: (−1)⋅(−2)⋅(−3)⋅2⋅(−1)=12.
In the third experiment, picking a1,a2,a3,a4,a5 is a most ideal decision: (−1)⋅0⋅0⋅0⋅(−1)=0.
In the fourth experiment, picking a1,a2,a3,a4,a6 is a most ideal decision: (−9)⋅(−7)⋅(−5)⋅(−3)⋅1=945.
