Time limit 1000/1000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb.
Problem description
The cows have opened a new business, and Farmer John wants to see
how well they are doing. The business has been running for N (1 <=
N <= 100,000) days, and every day i the cows recorded their net
profit P_i (-1,000 <= P_i <= 1,000).
Farmer John wants to find the largest total profit that the cows
have made during any consecutive time period. (Note that a consecutive
time period can range in length from one day through N days.) Help
him by writing a program to calculate the largest sum of consecutive
profits.
Input
* Line 1: A single integer: N
* Lines 2..N+1: Line i+1 contains a single integer: P_i
Output
* Line 1: A single integer representing the value of the maximum sum
of profits for any consecutive time period.
Example
| stdin |
stdout |
7
-3
4
9
-2
-5
8
-3 |
14 |
The maximum sum is obtained by taking the sum from the second through
the sixth number (4, 9, -2, -5, 8) => 14.
|