You are given the task to design a lighting system for a huge conference hall. After doing a lot of calculation and sketching, you have figured out the requirements for an energy-efficient design that can properly illuminate the entire hall.

According to your design, you need lamps of n different power ratings. For some strange current regulation method, all the lamps need to be fed with the same amount of current. So, each category of lamp has a corresponding voltage rating.

Now, you know the number of lamps and cost of every single unit of lamp for each category. But the problem is that you have to buy equivalent voltage sources for all the lamp categories. You can buy a single voltage source for each category (each source is capable of supplying to infinite number of lamps of its voltage rating) and complete the design. But the accounts section of your company soon figures out that they might be able to reduce the total system cost by eliminating some of the voltage sources and replacing the lamps of that category with higher rating lamps. Certainly you can never replace a lamp by a lower rating lamp as some portion of the hall might not be illuminated then. You are more concerned about money-saving rather than energy-saving. Find the minimum possible cost to design the system.

Input starts with an integer T (≤ 100), denoting the number of test cases.

Each case starts with a line containing an integer n (1 ≤ n ≤ 1000). Each of the next n lines contains four integers V_i, K_i, C_i and L_i (1 ≤ V_i ≤ 10⁵, 1 ≤ K_i ≤ 1000, 1 ≤ C_i ≤ 10, 1 ≤ L_i ≤ 100). Here the integers in i^th line have the following meaning.

1. V_i means the voltage rating,
2. K_i means the cost of a voltage source of this category,
3. C_i means the cost of a lamp of this category and
4. L_i means the number of required lamps of this category.

You can assume that the voltage rating for the categories will be distinct.

For each case, print the case number and the minimum possible cost to design the system.