Python Program to check whether it is possible to make a divisible by 3 number using all digits in an array

Given an array of integers, the task is to find whether it’s possible to construct an integer using all the digits of these numbers such that it would be divisible by 3. If it is possible then print “Yes” and if not print “No”.

Examples:

Input : arr[] = {40, 50, 90}
Output : Yes
We can construct a number which is
divisible by 3, for example 945000. 
So the answer is Yes. 

Input : arr[] = {1, 4}
Output : No
The only possible numbers are 14 and 41,
but both of them are not divisible by 3, 
so the answer is No.

# Python program to find if it is possible
# to make a number divisible by 3 using
# all digits of given array

def isPossibleToMakeDivisible(arr, n):
    # Find remainder of sum when divided by 3
    remainder = 0
    for i in range (0, n):
        remainder = (remainder + arr[i]) % 3

    # Return true if remainder is 0.
    return (remainder == 0)

# main()

arr = [40, 50, 90 ];
n = 3
if (isPossibleToMakeDivisible(arr, n)):
    print("Yes")
else:
    print("No")

# Code Contributed by Mohit Gupta_OMG <(0_o)>

Output:

Yes

Time Complexity : O(n)

Please refer complete article on Possible to make a divisible by 3 number using all digits in an array for more details!

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