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 $N (1 \leq N \leq 10^5)$ days, and every day i the cows recorded their net profit $P_i (-1,000\leq P_i \leq 1,000)$.

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 Format

• Line $1$: A single integer: $N$.

• Lines $2\dots N+1$: Line $i+1$ contains a single integer: $P_i$.

Output Format

• Line $1$: A single integer representing the value of the maximum sum of profits for any consecutive time period.

7 
-3 
4 
9 
-2 
-5 
8 
-3 

14 

Hint

The maximum sum is obtained by taking the sum from the second through the sixth number $(4, 9, -2, -5, 8) \geq 14$.