/Python/Stickler Thief or Maximum sum such that no two elements are adjacent

Stickler Thief or Maximum sum such that no two elements are adjacent

Recursion :
def FindMaxSum(arr, n):
        
    def recur(arr, n):
        
        if n == 1:
            return arr[n-1]
        
        if n == 2:
            return max(arr[n-1], arr[n-2])
        
        return max(recur(arr, n-1), recur(arr, n-2) + arr[n-1])
    
    return recur(arr, n)
 
Top Down :
def FindMaxSum(arr, n):
        
    def top_down(arr, n, dp):
        
        if dp[n] != -1:
            return dp[n]
    
        dp[n] =  max(top_down(arr, n-1, dp), top_down(arr, n-2, dp) + arr[n-1])
        
        return dp[n]
    
    if n == 1:
        return arr[0]
    if n == 2:
        return max(arr[0], arr[1])
        
    dp =[-1 for i in range(n+1)]
    dp[1] = arr[0]
    dp[2] = max(arr[0], arr[1])
    
    return top_down(arr, n, dp)
  
Bottom Up :
def FindMaxSum(arr, n):
        
    def bottom_up(arr, n, dp):
        
        for i in range(2, n):
            dp[i] =  max(dp[i-1], dp[i-2] + arr[i])

    if n == 1:
        return arr[0]
    if n == 2:
        return max(arr[0], arr[1])
        
    dp =[0 for i in range(n)]
    dp[0] = arr[0]
    dp[1] = max(arr[0], arr[1])
    
    bottom_up(arr, n, dp)
    
    return dp[n-1]

Source: practice.geeksforgeeks.org

Similar codes

0 vote199 views2 answers
E unable to locate package python-pip ubuntu 20.04
Python
0 vote191 views1 answer
Convert hex rgb to matplotlib color
Python
0 vote206 views2 answers
Django render template
Python
0 vote197 views3 answers
How to remove trailing zeros in python
Python
0 vote192 views1 answer
Same elements of two sets in python
Python
0 vote222 views1 answer
Stack error: command failed: import sys; print "%s.%s.%s" % sys.version_info[:3];
Python
0 vote250 views1 answer
Python project pick text color according to background
Python
0 vote202 views1 answer
How to convert list to all uppercase
Python
2 votes176 views1 answer
Reshape (n ) to (n 1)
Python
6 votes186 views2 answers
How to add mouse button in pygame
Python