Max Sum
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 183450 Accepted Submission(s): 42790
Problem Description Given a sequence a[1],a[2],a[3]......a[n], your job is to calculate the max sum of a sub-sequence. For example, given (6,-1,5,4,-7), the max sum in this sequence is 6 + (-1) + 5 + 4 = 14.
Input The first line of the input contains an integer T(1<=T<=20) which means the number of test cases. Then T lines follow, each line starts with a number N(1<=N<=100000), then N integers followed(all the integers are between -1000 and 1000).
Output For each test case, you should output two lines. The first line is Case #:, # means the number of the test case. The second line contains three integers, the Max Sum in the sequence, the start position of the sub-sequence, the end position of the sub-sequence. If there are more than one result, output the first one. Output a blank line between two cases.
Sample Input
25 6 -1 5 4 -77 0 6 -1 1 -6 7 -5
Sample Output
Case 1:14 1 4Case 2:7 1 6
Author Ignatius.L
题意:求最大子序列和,
hdu1003 Max Sum(dp)
,电脑资料
《hdu1003 Max Sum(dp)》(https://www.unjs.com)。 分析:详解请看代码。
#include<cstdio>using namespace std;int T,n,m;int post1,post2,x;//post1表示序列起点,post2表示序列终点,x表示每次更新的起点int max,now;//max表示最大子序列和,now表示各个子序列的和int i,j;int main (){ scanf (%d,&T); for (i=1; i<=T; i++) { scanf (%d%d,&n,&m); max = now = m; post1 = post2 = x = 1;//初始化 for (j=2; j<=n; j++) { scanf (%d,&m); if (now + m < m)//对于每个数,如果该数加上当前序列和比本身还小 { now = m;//更新区间 x = j;//更新起点 } else now += m;//否则把该数加进序列 if (now > max)//如果当前序列和比已有最大序列和大,更新 { max = now; post1 = x;//记录新的起点和终点 post2 = j; } } printf (Case %d:,i); printf (%d %d %d,max, post1, post2); if (i != T) printf (); } return 0;}</cstdio>