چاپ مثلث خیام پاسکال (تمرین پایتون پیشرفته – درسمن)

Question

چاپ مثلث خیام پاسکال (تمرین پایتون پیشرفته – درسمن)

سوال

برنامه ای بنویسید که یک عدد صحیح مثبت به عنوان تعداد سطر از کاربر گرفته و توسط یک تابع مثلث خیام پاسکال را برای آن چاپ کند.(مثلا برای عدد ۶ مثلث به شکل زیر می شود)

در حال بررسی 1

انجمن برنامه نویسان پایتون hajilozahra 3 سال 8 پاسخ ها 9524 دیده شده 2

درباره hajilozahra

پاسخ ها ( ۸ )

ارسال یک پاسخ

سوال قبلی

سوال بعدی

M.jahangiri · Answer 1 · ۱۴۰۰-۰۶-۱۴

def pascaltriangle(n):
    list1=[]
    for i in range(n):
        list1.append([1]*(i+1))
        
    for i in range(2,n):  
        for j in range(1,i)  :
            list1[i][j]=list1[i-1][j-1]+list1[i-1][j]
            
    return list1        
num=int(input("Enter Number: "))
x=pascaltriangle(num)
for i in x:
    print(i)

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def pascaltriangle(n):

list1=[]

for i in range(n):

list1.append([1]*(i+1))

for i in range(2,n):

for j in range(1,i) :

list1[i][j]=list1[i-1][j-1]+list1[i-1][j]

return list1

num=int(input("Enter Number: "))

x=pascaltriangle(num)

for i in x:

print(i)

Reza · Answer 2 · ۱۴۰۰-۰۶-۰۷

# as you know, to get each number in each row of Pascal triangle, c(n,k) is used
# that c = n! / k!*(n-k)! and n is the row number and k is the column number

from math import factorial as fact 


def calc_number(n, k):
    number = fact(n) / (fact(k) * fact(n-k))

    return number


def pascal_triangle(n):
    row_list = []

    for row in range(n):
        for k in range(row+1):
            number = calc_number(row, k)
            row_list.append(int(number))
        print(row_list)
        row_list.clear()


n = int(input("Enter number of rows: "))

pascal_triangle(n)

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# as you know, to get each number in each row of Pascal triangle, c(n,k) is used

# that c = n! / k!*(n-k)! and n is the row number and k is the column number

from math import factorial as fact

def calc_number(n, k):

number = fact(n) / (fact(k) * fact(n-k))

return number

def pascal_triangle(n):

row_list = []

for row in range(n):

for k in range(row+1):

number = calc_number(row, k)

row_list.append(int(number))

print(row_list)

row_list.clear()

n = int(input("Enter number of rows: "))

pascal_triangle(n)

Mona Azizi Jalilian · Answer 3 · ۱۴۰۰-۰۶-۱۴

### pascal's triangle: this method is based on binomial coefficient ----> C (n , k) = n! / [k! (n-k)!] 
# (a+b)**0 = 1 -------------------------------------> n = 0    k = 0
# (a+b)**1 = 1a + 1b -------------------------------> n = 1    k = 0 , 1
# (a+b)**2 = a**2 + 2ab + b**2 ---------------------> n = 2    k = 0, 1, 2 
# (a+b)**3 = a**3 + 3a**2b + 3ab**2 + b**3 ---------> n = 3    k = 0, 1, 2 , 3
# ...    

number = int(input("Enter Number of Row: "))

###### factorial function
def myFactorial(n):
    multi = 1
    for i in range(n,0,-1):
        multi*=i
    return multi
# ============================================================
###### main function
def printPascalTriangel(number):
    for n in range(number):
        subList = []
        for k in range(n+1):
            item = myFactorial(n)//(myFactorial(k)*myFactorial(n-k))
            subList.append(item)
        print(subList)

printPascalTriangel(number)

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### pascal's triangle: this method is based on binomial coefficient ----> C (n , k) = n! / [k! (n-k)!]

# (a+b)**0 = 1 -------------------------------------> n = 0 k = 0

# (a+b)**1 = 1a + 1b -------------------------------> n = 1 k = 0 , 1

# (a+b)**2 = a**2 + 2ab + b**2 ---------------------> n = 2 k = 0, 1, 2

# (a+b)**3 = a**3 + 3a**2b + 3ab**2 + b**3 ---------> n = 3 k = 0, 1, 2 , 3

# ...

number = int(input("Enter Number of Row: "))

###### factorial function

def myFactorial(n):

multi = 1

for i in range(n,0,-1):

multi*=i

return multi

# ============================================================

###### main function

def printPascalTriangel(number):

for n in range(number):

subList = []

for k in range(n+1):

item = myFactorial(n)//(myFactorial(k)*myFactorial(n-k))

subList.append(item)

print(subList)

printPascalTriangel(number)

jahan · Answer 4 · ۱۴۰۰-۰۶-۰۵

def khayampascal(n):
    list1=[]
    end=n
    for n in range(0,n):
        list1.append([])
        if n==0:
            list1[n].append(1)
        elif n==1:
            list1[n].append(1)
            list1[n].append(1)
        elif n>=2 and n<end:
            list1[n].append(1)
            for i in range(1,n):
                list1[n].append(list1[n-1][i]+list1[n-1][i-1])
            list1[n].append(1)
    return list1

def printmatrix(list1):
    for i in list1:
        print(i)
    print('')



try:
    n=int(input('Please enter a number:'))
    printmatrix(khayampascal(n))
except ValueError as error:
    print(error)
except:
    print('error')

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def khayampascal(n):

list1=[]

end=n

for n in range(0,n):

list1.append([])

if n==0:

list1[n].append(1)

elif n==1:

list1[n].append(1)

elif n>=2 and n<end:

list1[n].append(1)

for i in range(1,n):

list1[n].append(list1[n-1][i]+list1[n-1][i-1])

list1[n].append(1)

return list1

def printmatrix(list1):

for i in list1:

print(i)

print('')

try:

n=int(input('Please enter a number:'))

printmatrix(khayampascal(n))

except ValueError as error:

print(error)

except:

print('error')

maryam.zbr · Answer 5 · ۱۴۰۲-۰۵-۲۴

list=[1,1]
row=int(input('Enter Your row Number:'))
if row==1:
    print(1)
elif row==2:
    print(1)
    print(f'{list[0]}   {list[1]}')
else:
    tmp=[]
    i=1
    j=0
    print(1)
    print(f'{list[0]}   {list[1]}')
    tmp.append(1)
    while row>2: 
        while i<len(list):
            while j<len(list)-1:
                tmp.append(list[j]+list[j+1])
                j+=1
            i+=1
            j=0        
        row-=1
        tmp.append(1)
        list=tmp
        for item in tmp:
            print(item,end='   ')       
        tmp=[] 
        tmp.append(1) 
        print()

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list=[1,1]

row=int(input('Enter Your row Number:'))

if row==1:

print(1)

elif row==2:

print(1)

print(f'{list[0]} {list[1]}')

else:

tmp=[]

i=1

j=0

print(1)

print(f'{list[0]} {list[1]}')

tmp.append(1)

while row>2:

while i<len(list):

while j<len(list)-1:

tmp.append(list[j]+list[j+1])

j+=1

i+=1

j=0

row-=1

tmp.append(1)

list=tmp

for item in tmp:

print(item,end=' ')

tmp=[]

tmp.append(1)

print()

paria safarpour · Answer 6 · ۱۴۰۰-۰۷-۰۱

def pascaltriangle(n):
    list1=[]
    for i in range(n):
        list1.append([1]*(i+1))

    for i in range(2,n):
        for j in range(1,i)  :
            list1[i][j]=list1[i–1][j–1]+list1[i–1][j]

    return list1
num=int(input(“Enter Number: “))
x=pascaltriangle(num)
for i in x:
    print(i)

zodiac--ryan · Answer 7 · ۱۴۰۳-۰۴-۰۶

zodiac--ryan

0

۱۴۰۳-۰۴-۰۶ در ۱۵:۱۱

پاسخ دادن

def pascal(n):
t = [1]
y = [0]
for x in range(max(n,0)):
print(t)
t =[i+j for i,j in zip(t+y , y+t)]

matin_kh · Answer 8 · ۱۴۰۲-۰۴-۳۰

def pascal(n: int) -> list:
    if n == 1:
        return [1]
    
    p = [1]
    prev_pas = pascal(n - 1)
    for i in range(len(prev_pas) - 1):
        p.append(prev_pas[i] + prev_pas[i + 1])
    p.append(1)
    return p

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def pascal(n: int) -> list:

if n == 1:

return [1]

p = [1]

prev_pas = pascal(n - 1)

for i in range(len(prev_pas) - 1):

p.append(prev_pas[i] + prev_pas[i + 1])

p.append(1)

return p