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Python program to print all happy numbers between 1 and 100
Python program to print all happy numbers between 1 and 100
In this example, we will see a Python program through which we can print all happy numbers between 1 to 100.
Any number is said to be a happy number if it yields 1 when replaced by the sum of squares of its digits repeatedly.
ALGORITHM:
- STEP 1:isHappyNumber() determines whether a given number is happy or not.
- If the number is greater than 0, calculate remainder rem by dividing the number with 10.
- Calculate square of rem and add it to a variable sum.
- Divide number by 10.
- Repeat the steps from a to c till the sum of the square of all digits present in number has been calculated
- Finally, return the sum.
- STEP 2:To display all happy numbers between 1 and 100,
- Start a loop from 1 to 100, then make a call to isHappyNumber() method for each value from 1 to 100 and store the return value into a variable result.
- If the result is neither equal to 1 nor 4 then, make a call to isHappyNumber().
- Otherwise, if the result is equal to 1, it implies that the number is happy and display it.
#isHappyNumber() will determine whether a number is happy or not
def isHappyNumber(num):
rem = sum = 0;
#Calculates the sum of squares of digits
while(num > 0):
rem = num%10;
sum = sum + (rem*rem);
num = num//10;
return sum;
#Displays all happy numbers between 1 and 100
print("List of happy numbers between 1 and 100: ");
for i in range(1, 101):
result = i;
#Happy number always ends with 1 and
#unhappy number ends in a cycle of repeating numbers which contains 4
while(result != 1 and result != 4):
result = isHappyNumber(result);
if(result == 1):
print(i),
print(" "),
Output:
List of happy numbers between 1 and 100:
1
7
10
13
19
23
28
31
32
44
49
68
70
79
82
86
91
94
97
100
List of happy numbers between 1 and 100:
1
7
10
13
19
23
28
31
32
44
49
68
70
79
82
86
91
94
97
100
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