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Python program to print all disarium numbers between 1 and 100
Python program to print all disarium numbers between 1 and 100
In this example, we will see a Python program through which we can print all the disarium numbers between 1 to 100.
A given number can be said a Disarium number if the sum of its digit raised to the power of their respective position is equal to the number itself.
ALGORITHM:
- STEP 1: CalculateLength() counts the digits present in a number.
- Use a while loop to check whether the number is equal to 0 or not.
- Divide the number by 10 and increment the variable-length by 1.
- Return length.
- STEP 2: sumOfDigits() calculates the sum of digits raised to their respective positions.
- Make a call to calculateLength() to get the number of digits present in a given number and store the value in variable len.
- Using while loop calculates remainder rem repeatedly by dividing num with 10.
- Calculate the value of rem raised to power its position.
- STEP 3: To display all Disarium numbers between 1 and 100,
- Start a loop from 1 to 100, then make a call to sumOfDigits() method for each value from 1 to 100 and store the return value into a variable result.
- If the value of the result is equal to the number, it implies that the given number is Disarium number. Hence, display it.
#calculateLength() will count the digits present in a number
def calculateLength(n):
length = 0;
while(n != 0):
length = length + 1;
n = n//10;
return length;
#sumOfDigits() will calculates the sum of digits powered with their respective position
def sumOfDigits(num):
rem = sum = 0;
len = calculateLength(num);
while(num > 0):
rem = num%10;
sum = sum + (rem**len);
num = num//10;
len = len - 1;
return sum;
result = 0;
#Displays all disarium numbers between 1 and 100
print("Disarium numbers between 1 and 100 are");
for i in range(1, 101):
result = sumOfDigits(i);
if(result == i):
print(i),
Output:
Disarium numbers between 1 and 100 are
1
2
3
4
5
6
7
8
9
89
Disarium numbers between 1 and 100 are
1
2
3
4
5
6
7
8
9
89
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