Max Sum
1000ms
32768KB
This problem will be judged on HDU. Original ID: 1003
64-bit integer IO format: %I64d Java class name: Main
64-bit integer IO format: %I64d Java class name: Main
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.
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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
解题:dp入门题!弱菜的成长之路啊!
1 #include <iostream> 2 #include <cstdio> 3 #include <cstring> 4 #include <cstdlib> 5 #include <vector> 6 #include <climits> 7 #include <algorithm> 8 #include <cmath> 9 #define LL long long 10 using namespace std; 11 int dp[100010],num[100010]; 12 int main(){ 13 int kase,i,index,ans,n,k = 1; 14 scanf("%d",&kase); 15 while(kase--){ 16 scanf("%d",&n); 17 for(i = 1; i <= n; i++) 18 scanf("%d",dp+i); 19 num[1] = 0; 20 ans = dp[index = 1]; 21 for(i = 2; i <= n; i++){ 22 if(dp[i] <= dp[i-1]+dp[i]){ 23 dp[i] = dp[i-1]+dp[i]; 24 num[i] = num[i-1]+1; 25 }else num[i] = 0; 26 if(ans < dp[i]) ans = dp[index = i]; 27 } 28 printf("Case %d: ",k++); 29 printf("%d %d %d ",ans,index-num[index],index); 30 if(kase) putchar(' '); 31 } 32 return 0; 33 }