
116  The 9th Zhejiang Provincial Collegiate Programming Contest  H
Kochiya Sanae is a lazy girl who makes and sells bread. She is an expert at bread making and selling. She can sell the ith customer a piece of bread for price p_{i}. But she is so lazy that she will fall asleep if no customer comes to buy bread for more than w minutes. When she is sleeping, the customer coming to buy bread will leave immediately. It's known that she starts to sell bread now and the ith customer come after t_{i} minutes. What is the minimum possible value of w that maximizes the average value of the bread sold? InputThere are multiple test cases. The first line of input is an integer T ≈ 200 indicating the number of test cases. The first line of each test case contains an integer 1 ≤ n ≤ 1000 indicating the number of customers. The second line contains n integers 1 ≤ p_{i} ≤ 10000. The third line contains n integers 1 ≤ t_{i} ≤ 100000. The customers are given in the nondecreasing order of t_{i}. OutputFor each test cases, output w and the corresponding average value of sold bread, with six decimal digits. Sample Input2 4 1 2 3 4 1 3 6 10 4 4 3 2 1 1 3 6 10 Sample Output4.000000 2.500000 1.000000 4.000000 Author: WU, Zejun 