Max Sum
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 293017 Accepted Submission(s): 69552
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
题目大意给出一行数,找出连续最大子序列的和。这个题要求打印下标,所以要注意下标问题,具体实现请看代码,,,orz。
#include<stdio.h>
int n,k,m,num=0;
int main(){
scanf("%d",&n);
while(n--){
num++;
int p1=1,p2=1,x=1,max=-1000000,sum=0;
scanf("%d",&k);
for(int i=1;i<=k;i++){
scanf("%d",&m);
if(sum>=0){
sum+=m;
}
else{
sum=m;x=i;//找出子序列起始位置
}
if(max<sum){
max=sum;//每次循环判断是否为最大子序列,记录始末位置
p1=x;
p2=i;
}
}
printf("Case %d:\n",num);
printf("%d %d %d\n",max,p1,p2);
if(n!=0)
printf("\n");
}
}
还有一种直接打印最大子序列的和,不用打印子序列的始末位置。这个方法如下。
#include<stdio.h>
#include<algorithm>
using namespace std;
int main(){
int T,n,m;
scanf("%d",&T);
while(T--){
scanf("%d",&n);
int sum=0,maxn=-1000000,mn=0;
for(int i=1;i<=n;i++){
scanf("%d",&m);
sum+=m;
mn=min(mn,sum);
maxn=max(maxn,sum-mn);
}
printf("%d\n",maxn);
}
}