Python-8

Police , Thief question

police=0
thief=40
step=0
while thief>police:
  police=police+5
  thief=thief+2
  step+=1
print("police feet : ", police)
print("police step : ",step)

output:
police feet : 70
police step : 14

**

A king announces a unique reward for Hard Workers. On each day, the reward is multiplied by the day's number. The reward starts at 1 gold coin. Given the number of days n, write a program to calculate the final reward. hint: factorial

**

reward = 1
n = 5
i = 1

while i <= n:
    reward *= i
    i += 1

print(f"{n} days reward = {reward}")

Output: 5 days reward = 120

Suppose a password consists of the letters: A, B, C, D. Each letter must be used exactly once. How many different passwords are possible? hint: factorial

letters = 4
result = 1
i = 1

while i <= letters:
    result *= i
    i += 1

print(result)

output: 24

**

A frog accidentally falls into a 60-foot-deep well.

Every day:

During the day, the frog climbs 2 feet.
During the night, it slips down 0.5 feet.

This pattern continues every day until the frog reaches the top of the well and escapes.

Write a program to determine:

How many days it takes for the frog to get out of the well.
On which day the frog escapes.

Note: Once the frog reaches or crosses the top of the well during the daytime, it escapes immediately and does not slip back that night.

up = 0
day = 0
n = 60

while up <= 60:
    up = up + 2
    day = day + 1

    if up >= n:
        break

    up = up - 0.5

print("Number of days:", day)
print("Frog escapes on day:", day)

Output: Number of days: 40
Frog escapes on day: 40

**

The Saint's Flower Basket

A saint goes for a morning walk every day. During his walk, he plucks flowers and keeps them in a basket.

On his way back home, he visits 7 temples. At each temple, he offers half of the flowers currently in his basket.

After visiting all 7 temples, he reaches home with exactly one flower remaining in his basket.

Write a program to determine how many flowers the saint had in his basket before he visited the first temple.

Hint: Think carefully about whether it is easier to solve the problem from the beginning or by working backwards from the final flower.

flower = 1
temple = 0

while temple < 7:
    flower = flower * 2
    temple += 1

print("Total Flowers =", flower)

Output: Total Flowers = 128