題目

https://www.hackerrank.com/challenges/max-array-sum/problem?h_l=interview&playlist_slugs%5B%5D=interview-preparation-kit&playlist_slugs%5B%5D=dynamic-programming

Given an array of integers, find the subset of non-adjacent elements with the maximum sum. Calculate the sum of that subset.

For example, given an array we have the following possible subsets:

Subset Sum
[-2, 3, 5] 6
[-2, 3] 1
[-2, -4] -6
[-2, 5] 3
[1, -4] -3
[1, 5] 6
[3, 5] 8
Our maximum subset sum is .

Function Description

Complete the function in the editor below. It should return an integer representing the maximum subset sum for the given array.

maxSubsetSum has the following parameter(s):

arr: an array of integers
Input Format

The first line contains an integer, .
The second line contains space-separated integers .

Constraints

Output Format

Return the maximum sum described in the statement.

Sample Input 0

5
3 7 4 6 5
Sample Output 0

13
Explanation 0

Our possible subsets are and . The largest subset sum is from subset

Sample Input 1

5
2 1 5 8 4
Sample Output 1

11
Explanation 1

Our subsets are and . The maximum subset sum is from the first subset listed.

Sample Input 2

5
3 5 -7 8 10
Sample Output 2

15
Explanation 2

Our subsets are and . The maximum subset sum is from the fifth subset listed.

解題思路

DP問題要善于用累加的思想，其實核心就是去比較上一個自己和每個間隔和自己相加的最大值

ANSWER

#!/bin/python3

import math
import os
import random
import re
import sys

# Complete the maxSubsetSum function below.
def maxSubsetSum(arr):
    dp = []
    dp.append(arr[0])
    dp.append(max(arr[:2]))
    print (arr[2:])
    for a in arr[2:]:
        dp.append(max([
            dp[-2]+a, 
            a, 
            dp[-1]
        ]))
    return dp[-1]

if __name__ == '__main__':
    fptr = open(os.environ['OUTPUT_PATH'], 'w')

    n = int(input())

    arr = list(map(int, input().rstrip().split()))

    res = maxSubsetSum(arr)

    fptr.write(str(res) + '\n')

    fptr.close()