Learn Python – Program of Cumulative sum in python- Basic and advance

What is the cumulative sum?

The cumulative sum potential “how much so far”. The definition of the cumulative sum is the sum of a given sequence that is growing or getting larger with more additions. The actual example of a cumulative sum is the growing quantity of water in a swing pool.

Example:

Input: 10, 15, 20, 25, 30  
Output: 10, 25, 45, 70, 100  
  
Input: 1, 2, 3, 4, 5 6, 7 ,8, 9, 10  
Output: 1, 3, 6, 10, 15, 21, 28, 36, 45, 55  

Program: 1

# Cumulative sum  
def Cumulative_sum(lists):   
    cum_list = []   
    lenlength = len(lists)   
    cum_list = [sum(lists[0:x:1]) for x in range(0, length+1)]   
    return cum_list[1:]  
  
lists = [10, 15, 20, 25, 30]   
print (Cumulative_sum(lists))  

Output:

10, 25, 45, 70, 100

Program: 2

list=[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]  
cum_list=[]   
y = 0  
for x in range(0,len(list)):  
    y+=list[x]  
    cum_list.append(y)   
      
print(cum_list)   

Output:

1, 3, 6, 10, 15, 21, 28, 36, 45, 55

Program 3: User define program

i = []  
n = int(input("enter the no of elements in list:"))  
for x in range(0,n):  
    element=int(input("enter the element" + str(x+1) + ":"))  
    i.append(element)  
j=[sum(i[0:x+1]) for x in range(0,len(i))]  
print("Original list is: ",i)  
print("Cumulative sum list is: ",j)  

Output:

enter the no of elements in list: 10
enter the element1: 2
enter the element2: 3
enter the element3: 8
enter the element4: 6
enter the element5: 45
enter the element6: 32
enter the element7: 56
enter the element8: 32
enter the element9: 14
enter the element10: 25
Original list is: [2, 3, 8, 6, 45, 32, 56, 32, 14, 25]
Cumulative sum list is: [2, 5, 13, 19, 64, 96, 152, 184, 198, 223]