Problem:
Maximum Sum Sequence

Given a sequence of numbers a1, a2, a3, ..., an, find the maximum sum of a contiguous subsequence of those numbers. Note that, a subsequence of one element is also a contiquous subsequence.

Input

The input consists of multiple datasets. Each data set consists of:

n
a1
a2
.
.
an

You can assume that 1 ≤ n ≤ 5000 and -100000 ≤ ai ≤ 100000.

The input end with a line consisting of a single 0.

Output

For each dataset, print the maximum sum in a line.

Sample Input

7
-5
-1
6
4
9
-6
-7
13
1
2
3
2
-2
-1
1
2
3
2
1
-2
1
3
1000
-200
201
0

Output for the Sample Input

19
14
1001

Solution in Ruby (judge verdict: Wrong Answer)

class Mss
  def max(list)
    n = list.shift
    max = 0
    next_val = 0
    n.times do
      input = list.shift
      next_val = [input + next_val, 0].max
      max = [max, next_val].max
    end
    max
  end
end

loop do
  n = gets.chomp.to_i
  exit if n == 0

  list = Array.new(n) { gets.chomp.to_i }
  puts Mss.new.max([n] + list)
end