Buggy python submission (verdict: Runtime Error):

n,k=map(int,input().split())
x=[int(x) for x in input().split()]
ans=[1]*n
ans[0]=x[0]
for i in range(k,n):
  if x[c]<x[i]:
    print('Yes')
  else:print('No')
  c+=1


Fixed submission:

n,k=map(int,input().split())
x=[int(x) for x in input().split()]
ans=[1]*n
ans[0]=x[0]
c=0
for i in range(k,n):

  if x[c]<x[i]:
    print('Yes')
  else:print('No')
  c+=1

Buggy python submission (verdict: Time Limit Exceeded):

n,k=map(int,input().split())
x=[int(x) for x in input().split()]
ans=[1]*n
ans[0]=x[0]
for i in range(1,k):
  ans[i]=ans[i-1]*x[i]
c=0
for i in range(k,n):
  if x[c]<x[i]:
    print('Yes')
  else:print('No')
  c+=1


Fixed submission:

n,k=map(int,input().split())
x=[int(x) for x in input().split()]
ans=[1]*n
ans[0]=x[0]
c=0
for i in range(k,n):

  if x[c]<x[i]:
    print('Yes')
  else:print('No')
  c+=1

Buggy python submission (verdict: Time Limit Exceeded):
#for _ in range(int(input())):
def zeroPad(numberString, zeros, left = True):
    """Return the string with zeros added to the left or right."""
    for i in range(zeros):
        if left:
            numberString = '0' + numberString
        else:
            numberString = numberString + '0'
    return numberString
def karatsubaMultiplication(x ,y):
    """Multiply two integers using Karatsuba's algorithm."""
    #convert to strings for easy access to digits
    x = str(x)
    y = str(y)
    #base case for recursion
    if len(x) == 1 and len(y) == 1:
        return int(x) * int(y)
    if len(x) < len(y):
        x = zeroPad(x, len(y) - len(x))
    elif len(y) < len(x):
        y = zeroPad(y, len(x) - len(y))
    n = len(x)
    j = n//2
    #for odd digit integers
    if (n % 2) != 0:
        j += 1    
    BZeroPadding = n - j
    AZeroPadding = BZeroPadding * 2
    a = int(x[:j])
    b = int(x[j:])
    c = int(y[:j])
    d = int(y[j:])
    #recursively calculate
    ac = karatsubaMultiplication(a, c)
    bd = karatsubaMultiplication(b, d)
    k = karatsubaMultiplication(a + b, c + d)
    A = int(zeroPad(str(ac), AZeroPadding, False))
    B = int(zeroPad(str(k - ac - bd), BZeroPadding, False))
    return A + B + bd
n,k=map(int,input().split())
x=[int(x) for x in input().split()]
ans=[1]*n
ans[0]=x[0]
for i in range(1,k):
  ans[i]=ans[i-1]*x[i]
c=0
for i in range(k,n):
  ans[i]=karatsubaMultiplication(ans[i-1],x[i])
  ans[i]=ans[i]//x[c]
  if ans[i]>ans[i-1]:
    print('Yes')
  else:print('No')
  c+=1


Fixed submission:

n,k=map(int,input().split())
x=[int(x) for x in input().split()]
ans=[1]*n
ans[0]=x[0]
c=0
for i in range(k,n):

  if x[c]<x[i]:
    print('Yes')
  else:print('No')
  c+=1

Buggy python submission (verdict: Runtime Error):
#for _ in range(int(input())):
def zeroPad(numberString, zeros, left = True):
    """Return the string with zeros added to the left or right."""
    for i in range(zeros):
        if left:
            numberString = '0' + numberString
        else:
            numberString = numberString + '0'
    return numberString
def karatsubaMultiplication(x ,y):
    """Multiply two integers using Karatsuba's algorithm."""
    #convert to strings for easy access to digits
    x = str(x)
    y = str(y)
    #base case for recursion
    if len(x) == 1 and len(y) == 1:
        return int(x) * int(y)
    if len(x) < len(y):
        x = zeroPad(x, len(y) - len(x))
    elif len(y) < len(x):
        y = zeroPad(y, len(x) - len(y))
    n = len(x)
    j = n//2
    #for odd digit integers
    if (n % 2) != 0:
        j += 1    
    BZeroPadding = n - j
    AZeroPadding = BZeroPadding * 2
    a = int(x[:j])
    b = int(x[j:])
    c = int(y[:j])
    d = int(y[j:])
    #recursively calculate
    ac = karatsubaMultiplication(a, c)
    bd = karatsubaMultiplication(b, d)
    k = karatsubaMultiplication(a + b, c + d)
    A = int(zeroPad(str(ac), AZeroPadding, False))
    B = int(zeroPad(str(k - ac - bd), BZeroPadding, False))
    return A + B + bd
n,k=map(int,input().split())
x=[int(x) for x in input().split()]
ans=[1]*n
ans[0]=x[0]
for i in range(1,k):
  ans[i]=ans[i-1]*x[i]
c=0
for i in range(k,n):
  ans[i]=karatsubaMultiplication(ans[i-1],x[i])/x[c]
  if ans[i]>ans[i-1]:
    print('Yes')
  else:print('No')
  c+=1
#for _ in range(int(input())):
def zeroPad(numberString, zeros, left = True):
    """Return the string with zeros added to the left or right."""
    for i in range(zeros):
        if left:
            numberString = '0' + numberString
        else:
            numberString = numberString + '0'
    return numberString
def karatsubaMultiplication(x ,y):
    """Multiply two integers using Karatsuba's algorithm."""
    #convert to strings for easy access to digits
    x = str(x)
    y = str(y)
    #base case for recursion
    if len(x) == 1 and len(y) == 1:
        return int(x) * int(y)
    if len(x) < len(y):
        x = zeroPad(x, len(y) - len(x))
    elif len(y) < len(x):
        y = zeroPad(y, len(x) - len(y))
    n = len(x)
    j = n//2
    #for odd digit integers
    if (n % 2) != 0:
        j += 1    
    BZeroPadding = n - j
    AZeroPadding = BZeroPadding * 2
    a = int(x[:j])
    b = int(x[j:])
    c = int(y[:j])
    d = int(y[j:])
    #recursively calculate
    ac = karatsubaMultiplication(a, c)
    bd = karatsubaMultiplication(b, d)
    k = karatsubaMultiplication(a + b, c + d)
    A = int(zeroPad(str(ac), AZeroPadding, False))
    B = int(zeroPad(str(k - ac - bd), BZeroPadding, False))
    return A + B + bd
n,k=map(int,input().split())
x=[int(x) for x in input().split()]
ans=[1]*n
ans[0]=x[0]
for i in range(1,k):
  ans[i]=ans[i-1]*x[i]
c=0
for i in range(k,n):
  ans[i]=karatsubaMultiplication(ans[i-1],x[i])/x[c]
  if ans[i]>ans[i-1]:
    print('Yes')
  else:print('No')
  c+=1


Fixed submission:

n,k=map(int,input().split())
x=[int(x) for x in input().split()]
ans=[1]*n
ans[0]=x[0]
c=0
for i in range(k,n):

  if x[c]<x[i]:
    print('Yes')
  else:print('No')
  c+=1

Buggy python submission (verdict: Time Limit Exceeded):
#for _ in range(int(input())):
def zeroPad(numberString, zeros, left = True):
    """Return the string with zeros added to the left or right."""
    for i in range(zeros):
        if left:
            numberString = '0' + numberString
        else:
            numberString = numberString + '0'
    return numberString
def karatsubaMultiplication(x ,y):
    """Multiply two integers using Karatsuba's algorithm."""
    #convert to strings for easy access to digits
    x = str(x)
    y = str(y)
    #base case for recursion
    if len(x) == 1 and len(y) == 1:
        return int(x) * int(y)
    if len(x) < len(y):
        x = zeroPad(x, len(y) - len(x))
    elif len(y) < len(x):
        y = zeroPad(y, len(x) - len(y))
    n = len(x)
    j = n//2
    #for odd digit integers
    if (n % 2) != 0:
        j += 1    
    BZeroPadding = n - j
    AZeroPadding = BZeroPadding * 2
    a = int(x[:j])
    b = int(x[j:])
    c = int(y[:j])
    d = int(y[j:])
    #recursively calculate
    ac = karatsubaMultiplication(a, c)
    bd = karatsubaMultiplication(b, d)
    k = karatsubaMultiplication(a + b, c + d)
    A = int(zeroPad(str(ac), AZeroPadding, False))
    B = int(zeroPad(str(k - ac - bd), BZeroPadding, False))
    return A + B + bd
n,k=map(int,input().split())
x=[int(x) for x in input().split()]
ans=[1]*n
ans[0]=x[0]
for i in range(1,k):
  ans[i]=ans[i-1]*x[i]
c=0
for i in range(k,n):
  ans[i]=karatsubaMultiplication(ans[i-1]//x[c],x[i])
  if ans[i]>ans[i-1]:
    print('Yes')
  else:print('No')
  c+=1


Fixed submission:

n,k=map(int,input().split())
x=[int(x) for x in input().split()]
ans=[1]*n
ans[0]=x[0]
c=0
for i in range(k,n):

  if x[c]<x[i]:
    print('Yes')
  else:print('No')
  c+=1

Buggy python submission (verdict: Time Limit Exceeded):
#for _ in range(int(input())):
n,k=map(int,input().split())
x=[int(x) for x in input().split()]
ans=[1]*n
ans[0]=x[0]
for i in range(1,k):
  ans[i]=ans[i-1]*x[i]
c=0
for i in range(k,n):
  ans[i]=(ans[i-1]//x[c])*x[i]
  if ans[i]>ans[i-1]:
    print('Yes')
  else:print('No')
  c+=1


Fixed submission:

n,k=map(int,input().split())
x=[int(x) for x in input().split()]
ans=[1]*n
ans[0]=x[0]
c=0
for i in range(k,n):

  if x[c]<x[i]:
    print('Yes')
  else:print('No')
  c+=1

Buggy python submission (verdict: Time Limit Exceeded):
#for _ in range(int(input())):
n,k=map(int,input().split())
x=[int(x) for x in input().split()]
ans=[1]*n
ans[0]=x[0]
for i in range(1,k):
  ans[i]=ans[i-1]*x[i]
c=0
for i in range(k,n):
  ans[i]=(ans[i-1]//x[c])*x[i]
  c+=1

ans=ans[k-1:]

for i in range(len(ans)-1):
  if ans[i+1]>ans[i]:print('Yes')
  else:print('No')

Fixed submission:

n,k=map(int,input().split())
x=[int(x) for x in input().split()]
ans=[1]*n
ans[0]=x[0]
c=0
for i in range(k,n):

  if x[c]<x[i]:
    print('Yes')
  else:print('No')
  c+=1