Initially i found it difficult to understand how loops execute,variables changes during each iteration and when loop starts.
So i started solving these problems one by one
1.Frog in a well:
- A Frog falls into a 60-foot-deep well.
- During the day it climbs 2 feet.
- During the night it slips down 0.5 feet.
- It escapes immediately when it reaches the top.
Python code:
well_depth = 60
frog_position = 0
day = 0
while frog_position < well_depth:
day = day + 1
frog_position = frog_position + 2
if frog_position >= well_depth:
print("Frog escapes on day:",day)
break
frog_position = frog_position - 0.5
print("Total_days:",day)
Output:
Frog escapes on day:40
Total days:40
2. The Saint's Flower Basket
A saint visits 7 temples.At each temples,he offer half of the flowers in his basket.After visiting all 7 temples,he has exactly one flower remaining.We need to calcuate how many flowers he had initially.
Python code:
flowers = 1
temples = 7
while temples>0:
flowers = flowers*2
temples = temples - 1
print("Initial Flowers:",,flowers)
Output:
Initial flowers:128
3.TenaliRaman and the Palace Guards
*Tenali Raman receives 1024 lashes from the King.
At each gate,he gives half of his remaining lashes to the guard.
We need to find how many guards receive a share when he has one hash remaining.
*
lashes = 1024
guards = 0
while lashes>1:
share = lashes/2
print("Guard receives:",share)
lashes = lashes - share
guards = guards + 1
print("Remaining lashes:",lashes)
print("Total guards",guards)
Output:
Total guards:10
remaining lashes:1
4.Police and Thief
Problem:
The police and thief start at different positions.
- police starts at 0 feet
- thief starts at 30 feet
- police moves 5 feet in each round.
- Thief moves 2 feet in each round.
Both move simulatenously until they meet.
Python code:
police = 0
thief = 30
while police != thief:
police = police + 5
thief = thief + 2
print("Police:",police,"Thief:",thief)
print("They meet at:" police)
Output:
Police: 5 Thief: 32
Police: 10 Thief: 34
Police: 15 Thief: 36
Police: 20 Thief: 38
Police: 25 Thief: 40
Police: 30 Thief: 42
Police: 35 Thief: 44
Police: 40 Thief: 46
Police: 45 Thief: 48
Police: 50 Thief: 50
They meet at: 50
5.Two Trains:
Two trains stop at regular intervals.
train 1 stops at every 3rd station.
train 2 stops at every 5th station.
We need to find:
1.All common stations.
2.The first common station.
3.The last common station.
since total number of stations is not specified. i asked the user to enter it.
Python code:
total_stations = int(input("Enter total number of stations: "))
station = 1
last_station = 0
print("Common stations:")
while station <= total_stations:
if station % 3 == 0 and station % 5 == 0:
print(station)
if first_station == 0:
first_station = station
last_station = station
station = station + 1
print("First common station:", first_station)
print("Last common station:", last_station)
Output(for 100 stations):
Common stations:
15
30
45
60
75
90
First common station: 15
Last common station: 90
My key takeaways:
_
- first we need to understand the problem,identify the variables ,decides the loop condition and how the values change during each iteration.
- iteration mean one complete execution of code inside a loop. _
Top comments (0)