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.
牛们开了家新公司，这家公司已经运作了N天，财务报表显示第i天获得的利润为Pi ， 有些天的利润可能是个负数。约翰想给奶牛公司写个新闻报道，以吹嘘她们的业绩。于是他 想知道，这家公司在哪一段连续的日子里，利润总和是最大的。
输入输出格式
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.
输入输出样例
输入样例#1：
7 -3 4 9 -2 -5 8 -3
输出样例#1：
14
说明
The maximum sum is obtained by taking the sum from the second through the sixth number (4, 9, -2, -5, 8) => 14.
簡單動規。（因為方程沒法應付全負的情況，加了個l特判）
代碼實現：
1 #include<cstdio>
2 #include<iostream>
3 using namespace std;
4 int n,a,b,c,l=-3000,f[2][2];
5 int main(){
6 scanf("%d",&n);
7 for(int i=1;i<=n;i++){
8 scanf("%d",&a);
9 b=i%2;c=(b+1)%2;l=max(l,a);
10 f[b][0]=max(f[c][0],f[c][1]);
11 f[b][1]=max(f[c][1]+a,a);
12 }
13 if(l>=0) printf("%d\n",max(f[n%2][0],f[n%2][1]));
14 else printf("%d\n",l);
15 return 0;
16 }
還記得某種數列問題嗎？