Max Sum
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
题意 求n个数字的最大连续和
DP的入门题目 令d[i]表示以第i个数a为右端的最大连续子序列和 那么很容易得出转移方程 d[i]=max(d[i-1]+a,a)
很显然 当第i个数比以第i-1个数为右端的最大和加上第i个数还大的时候 以第i个数为右端的最大和就是第i个数自己了 同时更新左端为自己
#include<cstdio>
#include<cstring>
using namespace std;
const int N = 100005;
int main()
{
int a, cas, ans, l, le, ri, n, d[N];
scanf ("%d", &cas);
for (int k = 1; k <= cas; ++k)
{
memset (d, 0x8f, sizeof (d));
ans = d[0];
scanf ("%d", &n);
for (int i = 1; i <= n; ++i)
{
scanf ("%d", &a);
if (d[i - 1] + a < a)
d[i] = a, l = i;
else
d[i] = d[i - 1] + a;
if (d[i] > ans)
ans = d[i], le = l, ri = i;
}
if (k > 1) printf ("\n");
printf ("Case %d:\n%d %d %d\n", k, ans, le, ri);
}
return 0;
}
HDU 1003 Max Sum(dp,最大连续子序列和),布布扣,bubuko.com
HDU 1003 Max Sum(dp,最大连续子序列和)
原文:http://blog.csdn.net/iooden/article/details/38413637