qyliang/CodeNanoFix huggingface dataset:
Buggy code:
# -*- coding: utf-8 -*-

import sys

def input(): return sys.stdin.readline().strip()
def list2d(a, b, c): return [[c] * b for i in range(a)]
def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)]
def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)]
def ceil(x, y=1): return int(-(-x // y))
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)]
def Yes(): print('Yes')
def No(): print('No')
def YES(): print('YES')
def NO(): print('NO')
sys.setrecursionlimit(10 ** 9)
INF = 10 ** 18
MOD = 10 ** 9 + 7

a, b, c = MAP()

if a * b < pow(c-a-b, 2):
    Yes()
else:
    No()


Fixed code:
# -*- coding: utf-8 -*-

import sys

def input(): return sys.stdin.readline().strip()
def list2d(a, b, c): return [[c] * b for i in range(a)]
def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)]
def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)]
def ceil(x, y=1): return int(-(-x // y))
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)]
def Yes(): print('Yes')
def No(): print('No')
def YES(): print('YES')
def NO(): print('NO')
sys.setrecursionlimit(10 ** 9)
INF = 10 ** 18
MOD = 10 ** 9 + 7

a, b, c = MAP()

if c-a-b >= 0 and 4*a*b < pow(c-a-b, 2):
    Yes()
else:
    No()
Buggy code:
a,b,c = map(int,input().split())
if (c-a-b <= 0)
    print("No")
else:
    ans = (c-a-b) * (c-a-b) > 4 * a  *b 
    if (ans):
        print("Yes")
    else:
        print("No")

Fixed code:
a,b,c = map(int,input().split())
if (c-a-b <= 0):
    print("No")
else:
    ans = (c-a-b) * (c-a-b) > 4 * a  *b 
    if (ans):
        print("Yes")
    else:
        print("No")
Buggy code:
a, b, c = map(int, input().split())
if a + b < c:
    print("Yes")
else:
    if 4 * a * b < (c - a - b) ** 2:
        print("Yes")
    else:
        print("No")

Fixed code:
a, b, c = map(int, input().split())

if c-(a+b) >= 0:
    if 4*a*b < (c-(a+b))**2:
        print('Yes')
    else:
        print('No')
else:
        print('No')
Buggy code:
a,b,c = map(int, input().split())

if (a+b-c)**2 < 4*a*b:
    print("Yes")
else:
    print("No")

Fixed code:
a, b, c = map(int, input().split())
if c - (a+b) < 0:
    print("No")
    exit()
if 4*a*b < c**2 - 2*c*(a+b) + (a+b)**2:
    print("Yes")
else:
    print("No")
Buggy code:

a, b, c = map(int, input().split())
import math

if
if (c - a - b) **2 <= 4 * a * b  or c - a - b <= 0:
  print("No")
else:
  print("Yes")

Fixed code:

a, b, c = map(int, input().split())
import math

if (c - a - b) **2 <= 4 * a * b  or c - a - b <= 0:
  print("No")
else:
  print("Yes")
Buggy code:
a,b,c=map(int,input().split())
 
if 4*a*b > (c-a-b)**2 and c-a-b > 0:
    print("Yes")
else:
    print("No")

Fixed code:
a,b,c = map(int, input().split())

if 4*a*b < (c-a-b)**2 and c-a-b>0:
    print('Yes')
else:
    print('No')
Buggy code:
a,b,c = (int(x) for x in input().split())
if c - a - b <= 0:
  print("No")
else:
  if 2*a*b <(c-a-b)**2:
    print("Yes")
  else:
    print("No")

Fixed code:
a,b,c = (int(x) for x in input().split())
if c - a - b <= 0:
  print("No")
else:
  if 4*a*b <(c-a-b)**2:
    print("Yes")
  else:
    print("No")
Buggy code:
a,b,c = [int(i) for i in input().split()]

n = c-a-b
if n == 0:
    if a*b*4 < (c-a-b)**2:
        print('Yes')
    else:
        print('No')
else:
    if a*b*4 > (c-a-b)**2:
        print('Yes')
    else:
        print('No')

Fixed code:
a,b,c = [int(i) for i in input().split()]

n = c-a-b
if n < 0:
    print('No')
elif a*b*4 < n**2:
    print('Yes')
else:
    print('No')
Buggy code:
a,b,c = map(int,input().split())

if 4*a*b < (c-a+b)**2:
    print('Yes')
else:
    print('No')

Fixed code:
a,b,c = map(int,input().split())
if c - a - b < 0:
    print('No')
else:
    if 4*a*b < (c - a - b) ** 2:
        print('Yes')
    else:
        print('No')
Buggy code:
a, b, c = list(map(int, input().split()))
if a > 0 and b > 0 and c > 0:
  if 4*a*b < (c-a-b)**2:
  print('Yes')
  else:
  print('No')
else:
  print('')

Fixed code:
a, b, c = map(int, input().split())

if (4 * a * b < (c - a - b) ** 2) and (c - a - b > 0):
    print('Yes')
else:
    print('No')
Buggy code:
a,b,c = map(int,input().split())
X = 4*a*b
Y = c-a-b
if X < Y and Y > 0:
    print("Yes")
else:
    print("No")

Fixed code:
a,b,c = map(int,input().split())
X = 4*a*b
Y = c-a-b
if X < Y*Y and Y > 0:
    print("Yes")
else:
    print("No")
Buggy code:
a,b,c = [int(i) for i in input().split()]

d = a + b - c

ans = 4 * a * b - d**2

print('Yes' if ans > 0 else 'No')


Fixed code:
a,b,c = [int(i) for i in input().split()]
d = a + b - c

ans = d**2  - 4 * a * b

if d < 0 and ans > 0:
    print('Yes')
else:
    print('No')
Buggy code:
a, b, c = map(int, input().split())

able = 0
if c - a - b <= 0:
  able = 0
else:
  if (c - a - b) ** 2 > 2 * a * b:
  	able = 1
if able:
  print("Yes")
else:
  print("No")

Fixed code:
a, b, c = map(int, input().split())
 
able = 0
if c - a - b <= 0:
  able = 0
else:
  if (c - a - b) ** 2 > 4 * a * b:
  	able = 1
  else:
    able = 0
    
if able:
  print("Yes")
else:
  print("No")
Buggy code:
import sys
import math
import itertools
import bisect
from copy import copy
from collections import deque,Counter
from decimal import Decimal
import functools
def s(): return input()
def k(): return int(input())
def S(): return input().split()
def I(): return map(int,input().split())
def X(): return list(input())
def L(): return list(input().split())
def l(): return list(map(int,input().split()))
def lcm(a,b): return a*b//math.gcd(a,b)
sys.setrecursionlimit(10 ** 9)
mod = 10**9+7
cnt = 0
ans = 0
inf = float("inf")

a,b,c = I()
if 2*a*b < c**2 - a**2 - b**2 - 2*c*a-2*b*c+2*a*b:
    print("Yes")
else:
    print("No")


Fixed code:
import sys
import math
import itertools
import bisect
from copy import copy
from collections import deque,Counter
from decimal import Decimal
import functools
def s(): return input()
def k(): return int(input())
def S(): return input().split()
def I(): return map(int,input().split())
def X(): return list(input())
def L(): return list(input().split())
def l(): return list(map(int,input().split()))
def lcm(a,b): return a*b//math.gcd(a,b)
sys.setrecursionlimit(10 ** 9)
mod = 10**9+7
cnt = 0
ans = 0
inf = float("inf")

a,b,c = I()
if c < a+b:
    print("No")
    sys.exit()

if 2*a*b < c**2 + a**2 + b**2 - 2*c*a-2*b*c:
    print("Yes")
else:
    print("No")
Buggy code:
a, b, c = map(int, input().split())

if a+b > c:
    print("No"):
elif (c-a-b)**2 > 4*a*b:
    print("Yes")
else:
    print("No")


Fixed code:
a, b, c = map(int, input().split())

if a+b > c:
    print("No")
elif (c-a-b)**2 > 4*a*b:
    print("Yes")
else:
    print("No")
Buggy code:
base = input().split()
a = int(base[0])
b = int(base[1])
c = int(base[2])
if a**2+b**2+c**2+2*a*b-2*a*c-2*b*c<4*a*b and a+b<c:
    print("Yes")
else:
    print("No")

Fixed code:
base = input().split()
a = int(base[0])
b = int(base[1])
c = int(base[2])
if c**2+a**2+b**2+2*a*b-2*a*c-2*b*c>4*a*b and c-a-b>0:
    print("Yes")
else:
    print("No")
Buggy code:
a,b,c = map(int,input().split())

d = 0
if ( a ** 2 + b ** 2 - c ** 2 ) ** 2 < 4 * a * b:
  if a ** 2 + b ** 2 - c ** 2  > 0:
    d = 1
    
if d == 1:
  print("Yes")
else:
  print("No")

Fixed code:
a,b,c = map(int,input().split())

d = 0

if ( a + b - c )  < 0:
  if ( a + b - c ) ** 2 > 4 * a * b:
    d = 1 
  
if d == 1:
  print("Yes")
else:
  print("No")
Buggy code:
a, b, c = map(int, input().split())
if(4*a*b < (c-(a+b))):
  print("Yes")
else:
  print("No")

Fixed code:
a, b, c = map(int, input().split())
if c>(a+b) and (4*a*b)<((c-a-b)*(c-a-b)):
    print("Yes")
else:
    print("No")
Buggy code:
a, b, c = map(int, input().split())
if(c>(a+b) and 4*a*b < (c-(a+b)**2)):
  print("Yes")
else:
  print("No")

Fixed code:
a,b,c=map(int,input().split())
print('Yes' if (c>a+b and (c-a-b)**2>4*a*b) else 'No')
Buggy code:
a,b,c=map(int,input().split())
if c-a-b<0:
    if (c-a-b)**2 > 4*a*b:
        print('Yes')
    else:
        print('No')
else:
    print('No')

Fixed code:
a, b, c = map(int, input().split())
if (4 * a * b < (c - a - b) * (c - a - b) and c - a - b >= 0):
    print("Yes")
else:
    print("No")
Buggy code:
a,b,c=map(int,input().split())
if 0<c-a-b:
  print("No")
  exit()
if 4*a*b<(c-a-b)**2:
  print("Yes")
else:print("No")


Fixed code:
a,b,c=map(int,input().split())
if 0>=c-a-b:
  print("No")
  exit()
if 4*a*b<(c-a-b)**2:
  print("Yes")
else:print("No")
Buggy code:
a, b, c = map(int,input().split())
left = a+b-c
if left <= 0:
  print("Yes")
else:  
  if (4*a*b - left**2) > 0:
    print("Yes")
  else:
    print("No")

Fixed code:
a, b, c = map(int, input().split())

if 4 * a * b < (c - (a + b)) ** 2:
    if c >= a + b:
        print('Yes')
    else:
        print('No')
else:
    print('No')
Buggy code:
a, b, c = map(int, input().split())
if 4*a*b < (c**2 - a - b) **2:
    print("Yes")
else:
    print("No")


Fixed code:
a, b, c = map(int, input().split())
if c - a - b < 0:
    print("No")
elif 4*a*b < (c - a - b) **2:
    print("Yes")
else:
    print("No")
Buggy code:
a, b, c = map(int, input().split())

if (a + b - c) * (a + b - c) < 4 * a * b:
    print('Yes')
else:
    print('No')


Fixed code:
a,b,c= map(int,input().split())
if c>a+b and 4*a*b<(c-a-b)*(c-a-b):
    print('Yes')
else:
    print('No')
Buggy code:
import math

a, b, c = map(int, input().split())
if (c - a - b) * * 2 > 4 * a * b:
    print("Yes")
else:
    print("No")


Fixed code:
import math

a, b, c = map(int, input().split())
if (c - a - b) ** 2 > 4 * a * b and c - a - b > 0:
    print("Yes")
else:
    print("No")
Buggy code:
a,b,c = map(int, input().split())


if  c-a-b >0 and (a+b-c)*(a+b-c) < 4*a*b :
    print("Yes")
else:
    print("No")

Fixed code:
a, b, c = map(int, input().split())
if 4 * a * b < (c - a - b)**2 and c - a - b >= 0:
    print("Yes")
else:
    print("No")
Buggy code:
import math

square_list = [i**2 for i in range(1, 10**5)]

def integer_squareroot(x):
    imin = 0
    imax = x
    while imin <= imax:
        imid = (imin + imax) // 2
        imid_squared = imid ** 2
        if imid_squared <= x:
            imin = imid + 1
        else:
            imax = imid - 1

    return imin - 1


a, b, c = map(int, input().split())
if 4 * a * b < (1-c-a-b) ** 2:
    print("Yes")
else:
    print("No")

# for i in range(3):
#     if A[i] in square_list:
#         A[i] = integer_squareroot(A[i])
#     else:
#         A[i] = math.sqrt(A[i])

# if A[0] + A[1] + 1e-11 < A[2]:
#     print("Yes")
# elif A[0] + A[1] < A[2]:
#     print("Yes")
# else:
#     print("No")

Fixed code:
import math

square_list = [i**2 for i in range(1, 10**5)]

def integer_squareroot(x):
    imin = 0
    imax = x
    while imin <= imax:
        imid = (imin + imax) // 2
        imid_squared = imid ** 2
        if imid_squared <= x:
            imin = imid + 1
        else:
            imax = imid - 1

    return imin - 1


a, b, c = map(int, input().split())
if 4 * a * b < (c-a-b) ** 2 and c - a - b > 0:
    print("Yes")
else:
    print("No")

# for i in range(3):
#     if A[i] in square_list:
#         A[i] = integer_squareroot(A[i])
#     else:
#         A[i] = math.sqrt(A[i])

# if A[0] + A[1] + 1e-11 < A[2]:
#     print("Yes")
# elif A[0] + A[1] < A[2]:
#     print("Yes")
# else:
#     print("No")
Buggy code:
a,b,c = map(int, input().split())

ans = False

if c-a-b >= 0 and a*b < (c-a-b)**2:
  ans = True


print('Yes' if ans else 'No')


Fixed code:
a,b,c = map(int, input().split())
 
ans = False
 
if c-a-b >= 0 and 4*a*b < (c-a-b)**2:
  ans = True
 
 
print('Yes' if ans else 'No')
Buggy code:
a, b, c = map(int, input().split())
if a + b >= c and 4 * a* b < (c - a- b) ** 2:
    print('Yes')
else:
    print('No')

Fixed code:
a, b, c = map(int, input().split())
if a + b < c and 4 * a* b < (c - a- b) ** 2:
    print('Yes')
else:
    print('No')
Buggy code:
a, b, c = map(int, input().split())
if a + b - c >= 0:
    print('Yes' if (a + b - c) ** 2 < 4* a * b else 'No')
else:
    print('No')

Fixed code:
a, b, c = map(int, input().split())

if a + b >= c:
  print("No")
else:
  if 4 * a * b < (c - a - b) ** 2:
    print("Yes")
  else:
    print("No")
Buggy code:
a,b,c = list(map(int,input().split()))

if c-a-b > 0:
    if 4*a*b < (c-a-b)**2:
        print("Yes")
else:
    print("No")

Fixed code:
a, b, c = list(map(int, input().split()))


if 4 * a * b < (c - a - b) ** 2 and c - a - b >= 0:
    print("Yes")
else:
    print("No")
Buggy code:
a, b, c = map(int, input().split())

left = int(a * b * 4)
right = int((c - a - b)**2)

print(left, right)

if left < right and (c - a - b) > 0:
    print('Yes')
else:
    print('No')

Fixed code:
a, b, c = map(int, input().split())
if c - a - b >= 0 and 4 * a * b < (c - a - b) ** 2:
    print('Yes')
else:
    print('No')
Buggy code:
a,b,c=map(int,input().split())
print("Yes" if c-a-b>0 and 4*a*b>(a+b-c)**2 else "No")


Fixed code:
a,b,c=map(int,input().split())
print("Yes" if c-a-b>0 and 4*a*b<(a+b-c)**2 else "No")
Buggy code:
a,b,c=map(int,input().split())
k=c-b-a
if k<0:
    print("No")
else:
    if 4*b*c < k**2:
        print("Yes")
    else:
        print("No")


Fixed code:
a,b,c=map(int,input().split())
k=c-b-a
if k<0:
    print("No")
else:
    if 4*b*a < k**2:
        print("Yes")
    else:
        print("No")
Buggy code:
a,b,c = map(int,input().split())
if c-a-b > 0:
    if 2*a*b < (c-a-b)**2:
        print('Yes')
    else:
        print('No')
else:
    print('No')

Fixed code:
a,b,c=map(int,input().split())
if c-(a+b)>=0:
  if 4*a*b<(c-(a+b))**2:
    print('Yes')
  else:
    print('No')
else:
  print('No')
Buggy code:
a, b, c = map(int, input().split())

x = c - b - a
if x > 0 && a * b * 4 < x * x:
	print("Yes")
else:
    print("No")

Fixed code:
a, b, c = map(int, input().split())

x = c - b - a
if x > 0 and a * b * 4 < x * x:
	print("Yes")
else:
    print("No")
Buggy code:
a,b,c=map(int,input().split())
if a+b>c:
  print("No")
else:
  if a*b<(c-a-b)**2:
    print("Yes")
  else:
    print("No")

Fixed code:
a,b,c=map(int,input().split())
if a+b>c:
  print("No")
else:
  if 4*a*b<(c-a-b)**2:
    print("Yes")
  else:
    print("No")
Buggy code:
A=list(map(int,input().split()))

if ((( (A[2]-A[1]-A[0])*(A[2]-A[1]-A[0]) ) < 4*A[1]*A[0]) and ((A[2]-A[1]-A[0])>0)):
  print("Yes")

else:
  print("No")

Fixed code:
A=list(map(int,input().split()))

d=A[2]-A[0]-A[1]

if (( d*d  > 4*A[1]*A[0] ) and ( d>0 )):
  print("Yes")

else:
  print("No")
Buggy code:
args=list(map(int,input().strip().split()))

msg = ['Yes', 'No']

a = args[0] + args[1] - args[2]
b = args[0] * args[1] * 4

if((a>0)and(pow(a,2)>b)):
    print(msg[0])
else:
    print(msg[1])


Fixed code:
args=list(map(int,input().strip().split()))

msg = ['Yes', 'No']

a = args[2] - args[1] - args[0]
b = args[0] * args[1] * 4

if((a>0)and(pow(a,2)>b)):
    print(msg[0])
else:
    print(msg[1])
Buggy code:
a, b, c=map(int, input().split())
m = (c - a - b)
n = m*m - 4*a*b
if m>0:
  print('Yes')
else:
  print('No')

Fixed code:
a, b, c=map(int, input().split())
m = (c - a - b)
n = m*m - 4*a*b
if m < 0:
  print('No')
elif n>0:
  print('Yes')
else:
  print('No')
Buggy code:
a,b,c=map(int, input().split())
if c-a-b<0:
  print("No")
else:
  if 4ab<(c-a-b)**2:
    print("Yes")
  else:
    print("No")
    
    

Fixed code:
a,b,c=map(int, input().split())
if c-a-b<0:
  print("No")
else:
  if 4*a*b<(c-a-b)**2:
    print("Yes")
  else:
    print("No")
Buggy code:
a,b,c = map(int,input().split())
d = 4 * a * b
e = (c - a - b) * (c - a - b)
if d < e && 0 < (c - a - b):
  print("Yes")
else:
  print("No")

Fixed code:
a,b,c = map(int,input().split())
d = 4 * a * b
e = (c - a - b) * (c - a - b)
if d < e and 0 < (c - a - b):
  print("Yes")
else:
  print("No")
Buggy code:
import math
abc = input()
abc = abc.split(' ')
a = int(abc[0])
b = int(abc[1])
c = int(abc[2])

if 4*a*b<(c-a-b)(c-a-b):
    print('Yes')
else:
    print('No')



Fixed code:
import math
abc = input()
abc = abc.split(' ')
a = int(abc[0])
b = int(abc[1])
c = int(abc[2])

if (c-a-b>0) and 4*a*b<(c-a-b)*(c-a-b):
    print('Yes')
else:
    print('No')
Buggy code:
import math
import numpy
a,b,c=map(int,input().split())
if 4*a*b<pow(c,2)-pow(a,2)-pow(b,2):
  print('Yes')
else:
  print('No')

Fixed code:
import math
import numpy
a,b,c=map(int,input().split())
if 4*a*b<pow(c-a-b,2) and c-a-b>0:
  print('Yes')
else:
  print('No')
Buggy code:
from math import sqrt
# map(int,input().split())
a,b,c = map(int,input().split())
if (4*a*b >= (c-a-b)*(c-a-b)):
  print("Yes")
else:
  print("No")

Fixed code:
from math import sqrt
# map(int,input().split())
a,b,c = map(int,input().split())
if (c-a-b>0)and(4*a*b < (c-a-b)*(c-a-b)):
  print("Yes")
else:
  print("No")
Buggy code:
a,b,c = map(int, input().strip().split())
r = c-(a+b)
l = 4*a*b
if r < 0:
  print('No')
else:
  print('Yes' if l < r else 'No')


Fixed code:
a,b,c = map(int, input().strip().split())
r = c-(a+b)
l = 4*a*b
if r < 0:
  print('No')
else:
  print('Yes' if l < r**2 else 'No')
Buggy code:
a,b,c=map(int,input().split())

d=c-a-b

if d<0:
    print('No')
elif 4*a*b<d*d
    print('Yes')
else:
    print('No')

Fixed code:
a,b,c=map(int,input().split())

d=c-a-b

if d<0:
    print('No')
elif 4*a*b<d*d:
    print('Yes')
else:
    print('No')
Buggy code:
import sys
import re
import math
import collections
import decimal
import bisect
import itertools
import fractions
import functools
import copy
import heapq
import decimal
import statistics
import queue

sys.setrecursionlimit(10000001)
INF = 10 ** 10
MOD = 10 ** 9 + 7

ni = lambda: int(sys.stdin.readline())
ns = lambda: map(int, sys.stdin.readline().split())
na = lambda: list(map(int, sys.stdin.readline().split()))


# ===CODE===
def main():
    n = ni()

    char = [chr(i) for i in range(97, 97 + 26)]
    d = [0 for _ in range(11)]
    d[0] = 1

    def printer(d):
        s = ""
        for num in d:
            if num != 0:
                s = char[num - 1] + s
        print(s)
        return

    while d[n] == 0:
        printer(d)

        d[0] += 1

        for i in range(10):
            if d[i] - d[i + 1] > 1:
                d[i] = 1
                d[i + 1] += 1


if __name__ == '__main__':
    main()


Fixed code:
import sys
import re
import math
import collections
import decimal
import bisect
import itertools
import fractions
import functools
import copy
import heapq
import decimal
import statistics
import queue

sys.setrecursionlimit(10000001)
INF = 10 ** 10
MOD = 10 ** 9 + 7

ni = lambda: int(sys.stdin.readline())
ns = lambda: map(int, sys.stdin.readline().split())
na = lambda: list(map(int, sys.stdin.readline().split()))


# ===CODE===
def main():
    n = ni()

    char = [chr(i) for i in range(97, 97 + 26)]
    d = [0 for _ in range(11)]
    d[0] = 1

    def printer(d):
        s = ""
        for num in d:
            if num != 0:
                s = char[num - 1] + s

        if len(s) == n:
            print(s)
        return

    while d[n] == 0:
        printer(d)

        d[0] += 1

        for i in range(10):
            if d[i] > max(d[i + 1:]) + 1:
                d[i] = 1
                d[i + 1] += 1


if __name__ == '__main__':
    main()
Buggy code:
import copy
n = int(input())

al = ['a', 'b', 'c' , 'd', 'e', 'f', 'g', 'h', 'i', 'j']
list = []
for i in range(n):
    if i ==0:
        list.append(al[0])
    else:
        lis = copy.deepcopy(list)
        for x in lis:
            flag = False
            for y in al[:i+1]:
                if y in x:
                    list.append(x+y)
                else:
                    if flag == False:
                        list.append(x+y)
                        flag = True

for x in list:
    print(x)

Fixed code:
import copy
n = int(input())

al = ['a', 'b', 'c' , 'd', 'e', 'f', 'g', 'h', 'i', 'j']
list = []
for i in range(n):
    new = []
    if i ==0:
        new.append(al[0])
    else:
        lis = copy.deepcopy(list)
        for x in lis:
            flag = False
            for y in al[:i+1]:
                if y in x:
                    new.append(x+y)
                else:
                    if flag == False:
                        new.append(x+y)
                        flag = True
    list = new

for x in new:
    print(x)
Buggy code:
N = int(input())

answer = [(97, 'a')]
for _ in range(N - 1):
    new_answer = []
    for i, j in answer:
        for k in range(97, i + 1):
            new_answer.append((k, j + chr(k)))
        new_answer.append((i+1,j+chr(i+1))
    answer = new_answer[:]

answer = [j for _, j in answer]
answer.sort()
print('\n'.join(answer))


Fixed code:
N = int(input())

answer = [(97, 'a')]
for _ in range(N - 1):
    new_answer = []
    for i, j in answer:
        for k in range(97, i + 2):
            new_answer.append((max(k, i), j + chr(k)))
    answer = new_answer[:]

answer = [j for _, j in answer]
answer.sort()
print('\n'.join(answer))
Buggy code:
# coding: utf-8
# Your code here!
def solv1():
    n=int(input())
    
    a=[[]for i in range(n)]
    a[0]=[[0]]
    
    for i in range(n-1):
        b=[]
        for pa in a[i]:
    #        print(pa)
            el=[j for j in set(pa)]
    #        print(el)
            el.append(max(pa)+1)
            for l in el:
                b+=[pa+[l]]
    #    print(i,b)
        a[i+1]=b
    ans=[]
    for i in a:
        ans+=i
        #print(i)
    ans=sorted(ans)
    for i in ans:
        print(''.join([chr(j+97) for j in i]))

solv1()


Fixed code:
# coding: utf-8
# Your code here!
def solv1():
    n=int(input())
    
    a=[[]for i in range(n)]
    a[0]=[[0]]
    
    for i in range(n-1):
        b=[]
        for pa in a[i]:
    #        print(pa)
            el=[j for j in set(pa)]
    #        print(el)
            el.append(max(pa)+1)
            for l in el:
                b+=[pa+[l]]
    #    print(i,b)
        a[i+1]=b
    ans=[j for j in a[n-1]]
        #print(i)
    ans=sorted(ans)
    for i in ans:
        print(''.join([chr(j+97) for j in i]))

solv1()
Buggy code:
N = int(input())
string = [0 for i in range(N)]
calc_str = lambda :"".join(list(chr(i+ord('a')) for i in string))
chr_a = ord('a')
print(calc_str())
now = N-2


while True:
    if string[now+1]-string[now] > 0:
        if now == 0: break
        string[now+1] = 0
        now -= 1
        
    else:
        string[now+1] += 1
        now = N-2

        print(calc_str())

Fixed code:
N = int(input())
string = [0 for i in range(N)]
calc_str = lambda :"".join(list(chr(i+ord('a')) for i in string))
chr_a = ord('a')
print(calc_str())
now = N-2


while N > 1:
    if string[now+1]-max(string[:now+1]) > 0:
        if now == 0: break
        string[now+1] = 0
        now -= 1
        
    else:
        string[now+1] += 1
        now = N-2

        print(calc_str())
Buggy code:
from string import ascii_lowercase
n = int(input())

@lru_cache
def make(n):
    if n == 1:
        return ['a']
    else:
        lst = []
        for s in make(n-1):
            for c in ascii_lowercase[:len(set(s))+1]:
                lst.append(s + c)
        return lst
for s in make(n):
    print(*s, sep='')

Fixed code:
from string import ascii_lowercase
from functools import lru_cache
n = int(input())

@lru_cache(maxsize=10)
def make(n):
    if n == 1:
        return ['a']
    else:
        lst = []
        for s in make(n-1):
            for c in ascii_lowercase[:len(set(s))+1]:
                lst.append(s + c)
        return lst
for s in make(n):
    print(*s, sep='')