HDU 1003 Max Sum (最大连续子序和)
Max Sum
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 156637 Accepted Submission(s): 36628
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
2
5 6 -1 5 4 -7
7 0 6 -1 1 -6 7 -5
Sample Output
Case 1:
14 1 4
Case 2:
7 1 6
分析:这题是求最大的连续的子序列的和,输出最大连续子序和、起始下标、终止下标。与HDU的1231很类似。
1 #include<iostream> 2 #include<algorithm> 3 #include<cstdio> 4 #include<string.h> 5 using namespace std; 6 const int MAX = 10010; 7 int dp[MAX],a; 8 int main() 9 { 10 int T,i,j,n,left,right,maxn,flag,num; 11 scanf("%d",&T); 12 for(j=1;j<=T;j++) 13 { 14 scanf("%d",&n); 15 maxn=-9999; 16 num=0; 17 left=right=flag=1; 18 for(i=1;i<=n;i++) 19 { 20 scanf("%d",&a); 21 num+=a; 22 if(num>maxn) 23 { 24 maxn=num; 25 left=flag; 26 right=i; 27 } 28 if(num<0) 29 { 30 num=0; 31 flag=i+1; 32 } 33 } 34 if(j!=1) printf("\n"); 35 printf("Case %d:\n",j); 36 printf("%d %d %d\n",maxn,left,right); 37 } 38 return 0; 39 }