Given a sequence a11 ,a22 ,a33 ......ann , 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.
InputThe 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).
OutputFor 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
1.动规:dp[i]=max(dp[i-1]+a[i],a[i]),dp[i]表示以i为末尾的连续序列的最大和。
2.非动规:请看代码~~~参考了大神的代码,我还是太弱了,orz!!!
1 #include<iostream> 2 #include<algorithm> 3 #include<cstdio> 4 using namespace std; 5 6 int n,m; 7 int a[100005]; 8 9 int main() 10 { cin>>n; 11 for(int t=1;t<=n;t++){ 12 scanf("%d",&m); 13 for(int i=1;i<=m;i++) scanf("%d",&a[i]); 14 15 int sum=0,maxsum=-10000,l=1,r=1,temp=1; 16 for(int i=1;i<=m;i++){ 17 sum+=a[i]; 18 if(sum>maxsum){ 19 maxsum=sum; 20 l=temp; 21 r=i; 22 } 23 if(sum<0){ 24 sum=0; 25 temp=i+1; 26 } 27 } 28 printf("Case %d: %d %d %d ",t,maxsum,l,r); 29 if(t!=n) printf(" "); 30 } 31 }