Online JudgeProblem SetAuthorsOnline ContestsUser
Web Board
Home Page
F.A.Qs
Statistical Charts
Problems
Submit Problem
Online Status
Prob.ID:
Register
Update your info
Authors ranklist
Current Contest
Past Contests
Scheduled Contests
Award Contest
User ID:
Password:
  Register
Language:
Faucet Flow
Time Limit: 1000MSMemory Limit: 65536K
Total Submissions: 414Accepted: 120

Description

A faucet is pouring water into a long, thin aquarium with various vertical dividers (walls) in it. The aquarium is initially empty, and its bottom is perfectly level. How long will it take for water to spill over its left- or right-most divider? The faucet is above location x=0, and the dividers are located at x=-1, -3, -5, ..., leftx and 1, 3, 5, ..., rightx. The dividers are attached perpendicular to the floor and sides of the aquarium, and have various heights. The aquarium's length is greater than rightx-leftx, its walls are higher than the highest divider, and its width is 1 unit everywhere. Water pours from the faucet at a rate of 1 cubic unit per second. [You may assume that water is an ideal liquid: it always flows downhill and if it cannot flow downhill it spreads at an equal rate in all horizontal directions.]

Input

Each test case consists of two integers leftx (an odd number <= -1) and rightx (an odd number >= 1). Subsequent lines contain the height (a positive integer) of each divider from left to right. There will be no more than 1000 dividers in any test case. Input is terminated with a line containing two zeros.

Output

For each case, output an integer on a single line, indicating how long it will take, in seconds, before water starts spilling over either the left or right divider.

Sample Input

-1 1
3 5
-3 3
4 3 2 1
-3 5
1 2 2 1 1
0 0

Sample Output

6
6
8

Source

[Submit]   [Go Back]   [Status]   [Discuss]

Home Page   Go Back  To top


All Rights Reserved 2003-2013 Ying Fuchen,Xu Pengcheng,Xie Di
Any problem, Please Contact Administrator