Max Sum
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 208607 Accepted Submission(s): 48835
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
View Code
1 #include <iostream> 2 #define N 100010 3 using namespace std; 4 int a[N], d[N]; 5 int main() 6 { 7 int test, n, i, max, k, b, e; 8 cin >> test; 9 k =1; 10 11 while (test--) 12 { 13 cin >> n; 14 for ( i = 1; i <= n; i++) 15 { 16 cin >> a[i]; 17 } 18 d[1] = a[1]; 19 for ( i = 2; i <= n; i++) 20 { 21 d[i] = (d[i-1] + a[i] > a[i] ? d[i-1] + a[i] : a[i]); 22 } 23 max = d[1]; 24 e = 1; 25 for (i = 2; i <= n; i++) 26 { 27 if(d[i] > max){ 28 max = d[i]; 29 e = i; 30 } 31 } 32 int t = 0; 33 b = e; 34 for (i = e; i > 0; i--) 35 { 36 t += a[i]; 37 if (t == max){ 38 b = i; 39 } 40 } 41 cout << "Case " << k++ << ":" << endl << max << " " << b << " " << e << endl; 42 if(test) 43 cout << endl; 44 } 45 return 0; 46 }