题面

[USACO11JAN] Profits S

题目描述

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.

奶牛们开始了新的生意，它们的主人约翰想知道它们到底能做得多好。这笔生意已经做了 $N（1≤N≤100,000）$ 天，每天奶牛们都会记录下这一天的利润 $P_i （-1,000≤Pi≤1,000）$ 。

约翰想要找到奶牛们在连续的时间期间所获得的最大的总利润。（注：连续时间的周期长度范围从第一天到第 $N$ 天）。

请你写一个计算最大利润的程序来帮助他。

输入格式

* Line $1$ : $A$ single integer: $N$

* Lines $2..N+1$ : Line $i+1$ contains a single integer: $P_i$

输出格式

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

样例 #1

样例输入 #1

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

样例输出 #1

14

提示

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

感谢@smartzzh 提供的翻译。