Max Sum(最大连续子序列)
2016-08-08 15:44
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Max Sum
Time Limit:1000MS Memory Limit:32768KB 64bit IO Format:%I64d & %I64u
Submit Status
Description
Given a sequence a[1],a[2],a[3]......a
, 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
Sample Output
Time Limit:1000MS Memory Limit:32768KB 64bit IO Format:%I64d & %I64u
Submit Status
Description
Given a sequence a[1],a[2],a[3]......a
, 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
#include<iostream> #include<iostream> #include<string.h> #include<algorithm> using namespace std; int a[1000000],n,t,d[1000000]; int main() {int k=1; scanf("%d",&t); while(t--) { scanf("%d",&n); for(int i=1;i<=n;i++) scanf("%d",&a[i]); d[1]=a[1]; for(int i=2;i<=n;i++) { if(d[i-1]<0) d[i]=a[i]; else d[i]=a[i]+d[i-1]; } int max1=d[1]; int end=1; for(int i=2;i<=n;i++) { if(max1<d[i]) { max1=d[i]; end=i; } } int r=0,f=end; for(int i=end;i>=1;i--) { r+=a[i]; if(r==max1) f=i; } printf("Case %d:\n%d %d %d\n",k++,max1,f,end); if(t!=0) puts(""); } }
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