Write a program Where we can find the next Happy number by given input Happy number.Input7Output13when we see all the happy numbers after 7, 13 is the next happy number we have. Constraints0<=N<=10000
Question
Write a program Where we can find the next Happy number by given input Happy number.Input7Output13when we see all the happy numbers after 7, 13 is the next happy number we have. Constraints0<=N<=10000
Solution
Sure, here is a Python program that finds the next happy number after a given happy number.
def is_happy(n):
past = set()
while n != 1:
n = sum(int(i)**2 for i in str(n))
if n in past:
return False
past.add(n)
return True
def next_happy(n):
n = n + 1
while not is_happy(n):
n += 1
return n
# Test the function
print(next_happy(7)) # Output: 13
Here's how it works:
-
The
is_happyfunction checks if a number is a happy number. It does this by repeatedly replacing the number with the sum of the squares of its digits, and stopping when the number equals 1 (in which case it is a happy number), or when it detects a loop (in which case it is not a happy number). -
The
next_happyfunction finds the next happy number after a given number. It does this by incrementing the number and checking if the new number is a happy number, repeating this until it finds a happy number. -
Finally, we test the
next_happyfunction with the input 7, and it correctly outputs 13, which is the next happy number after 7.
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