Mind & World

Good practice for python biggeners:

Executable Python Code is here

"""
this code will contains a small puzzels, and thier programming solution. it is good for evrey one who is new to programming to unduerstand thos codes in depth.
"""

"""
if you have questions or something did not understand, just comment it and I will response.
"""

"""
I will update this code regularly, I will put the new puzzels on the top
"""
print("good Exercises for begginers.")
print("Done By SHam XR")
print("-------------------------------------------------------------------------------")

"""
-8-
How many integer numbers from 1 to 1000 are divisible by 2 or by 3?
"""

count = 0
for i in range(1,1001):
    if i%2==0 or i%3==0:
        count+=1
print('puzzle 8: How many integer numbers from 1 to 1000 are divisible by 2 or by 3?')  
print(count,'\n')
print("-------------------------------------------------------------------------------")

"""
-7-
Develop a Python method change(amount) that for any integer amount in the range from 24 to 1000 returns a list consisting of numbers 5 and 7 only, such that their sum is equal to amount. For example, change(28) may return [7, 7, 7, 7], while change(49) may return [7, 7, 7, 7, 7, 7, 7] or [5, 5, 5, 5, 5, 5, 5, 7, 7] or [7, 5, 5, 5, 5, 5, 5, 5, 7].
"""
def change7(amount):
    coins7=[]
    if amount == 24:
        return [5, 5, 7, 7]
        
    if amount == 25:
        return [5,5,5,5,5]
        
    if amount == 26:
        return [5,7,7,7]
        
    if amount == 27:
        return [5,5,5,5,7]
        
    if amount == 28:
        return [7,7,7,7]
        
        
    coins7 = change7(amount-5)
    coins7.append(5)
    
    return(coins7)

print("puzzle7: the number of coins you will use (for change of 88):")
print("hint: you can change the number and test it\n")
print(change7(88),"\n")
print("-------------------------------------------------------------------------------")

"""
-6-
You have three $20 dollar bills, five $10 dollar bills, two $5 dollar bills, and five dollar bills. How many ways can you make change for a $100 dollar bill?
"""
import itertools as it

bills = [20, 20, 20, 10, 10, 10, 10, 10, 5, 5, 1, 1, 1, 1, 1]

makes_100 = []
for n in range(1, len(bills) + 1):
     for combination in it.combinations(bills, n):
         if sum(combination) == 100:
             makes_100.append(combination)
             
print("puzle6: How many ways can you make change for a $100 dollar bill? ")

for i in set(makes_100):            
    print(i,"\n ")

print(f"number of ways is: %s" %len( set(makes_100)),"\n")    
print("-------------------------------------------------------------------------------")

"""
-5- 
Queens Puzzle,
givien a ches board of n*n, which contains only n queens. place those queens on the chess board in such a way No 2 queens can attak each other??

hint1: queens can move verticaly, horaizently, and diagonaly.
hint2: every column must contains only 1 queen
hint3: we are going to solve it for n=8, but you can change it.
"""

import itertools as it

def is_solution (perm):
    for (i1, i2) in it.combinations(range(len(perm)), 2):
        if abs(i1-i2) == abs(perm[i1]- perm[i2]):
            return False 
        return True
        
        
print("puzzle5: Queens Board")
print("this set represents the row where the queen exists for each column")
#assert(is_solution([1,3,0,2]) == True)
#assert(is_solution([3,1,0,2]) == False)
for perm in it.permutations(range(8)):
    if is_solution(perm):
        print(perm,"\n")
        break
    
print("-------------------------------------------------------------------------------")

"""
-4-
Find a 5-digit integer N, such that N^2 starts with 27182
"""
import math
number4=27182
number4_sqrt=math.sqrt(number4)
num4_answer=int((100*number4_sqrt)**2)
print("puzzle4: Find a 5-digit integer N, such that N^2 starts with 27182")
print(int(100*number4_sqrt)+1,"\n")
print("-------------------------------------------------------------------------------")

"""
-3-
There are some books on the table. If you group them by 3, you get some number of full groups and 2 books remain; if you group them by 4, you get some number of full groups and 3 books remain; if you group them by 5, you get some number of full groups and 4 books remain. What is the number of books on the table, if it is less than 100?
"""
numbers3=[]
for i in range(1,100):
    if i%3==2 and i%4==3 and i%5==4:
        numbers3.append(i)
        
print(" puzzle3 : the number of books on the table")
print(numbers3,"\n")
print("-------------------------------------------------------------------------------")

"""
-2-
I am a 3 digits number, divisible by 2,3,4,5,6,7 with a remainder of 1.
Who am I?
"""
numbers2=[]
for i in range(100,999):
    if i%2==1 and i%3==1 and i%4==1 and i%5==1 and i%6==1 and i%7==1:
        numbers2.append(i)
print("puzzle2: 3 digits number, divisible by 2,3,4,5,6,7 with a remainder of 1 ")
print(numbers2, "\n")
print("-------------------------------------------------------------------------------")

"""
-1-
I am a 6-digits number starts with 100, and divisible by 9127.
Who am I???

Think of it, Why there is only one number?
"""

number1 = 100000
numbers1=[]
for i in range(100000, 100999):
    if i%9127==0:
        numbers1.append(i)
print("puzzle1: 6-digits number starts with 100, and divisible by 9127")
print(numbers1)

Good practice for Python Beginners