1.Collatz sequence
Write a program that prints the Collatz sequence for a given number until it reaches 1.
Rule: If the number is even: n=n/2 If the number is odd: n=3n+1.
def even_odd(no): while no>0: num=no%10 if num%2==0: even=num/2 print(even) else: odd=3*num+1 print(odd) no=no//10 no=int(input("Enter the number:")) even_odd(no)
Enter the number:12345 16 2.0 10 1.0 4
*2.Find all digits in a number are equal
*
no = int(input("Enter no. ")) equal = no%10 while no>0: rem = no%10 if rem == equal: equal=rem else: print("All Numbers are not equal") break no//=10 else: print("All numbers are equal")
Enter no. 1234 All Numbers are not equal Enter no. 4444 All numbers are equal
Puzzle Program:
1.In 4 hours, the horse covers a total of 4 feet, as it runs 1 foot in the first hour, 2 feet in the second hour, 3 feet in the third hour, and 4 feet in the fourth hour.
If the horse takes 12 steps to cover 1 foot, and it runs a total of 10 feet in 4 hours, the total number of steps the horse takes is:
10 feet×12 steps per foot=120 steps.
In 4 hours, the horse covers 10 feet by taking 120 steps.
total = 0 steps = 12 ft = 1 while ft<=4: total = total + steps*ft ft+=1 print(total)
120
2.Each day, the frog climbs 1 foot but slides back 0.5 foot at the end of the day.
Thus, the gain per day is 1−0.5=0.5foot.
However, on the day the frog reaches or exceeds 30 feet, it will not slide back.
Find out how many days frog takes to reach the top.
height = 30 up = 1 down = 0.5 total = 0 days = 0 while total<height: total = total + up - down days+=1 print(days)
60
3.If a clock is delayed by 5 minutes initially and further delays by 5 minutes every hour.
How many minutes it will be delay from 8 am to 1pm.
morning = 8 afternoon = 13 difference = 5 late = 0 while difference>0: late = late + 5 difference-=1 print(late)
25
4.Convert railway time to normal time and normal time to railway time.
Railway Time to normal time:
15:09 - 3:09
Normal Time to Railway Time:
3:09 - 15:09
time=float(input("Enter the time:")) if time<=12: calculate_time=time+12 print("time:",calculate_time) else: calculate_time=12-time print("time:",round(-calculate_time,2))
Enter the time:15.09 time: 3.09 Enter the time:3.09 time: 15.09
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