Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
dic ={}


for i in range(n):
  s=sorted(input())
  s="".join(s)
  if s in list(dic.keys()):
    dic[s]+=1
  else:
    dic[s]=1
ans=0
for i in dic.values():
  ans += i*(i-1)//2
print(ans)

Fixed submission:
from collections import Counter
n=int(input())
#dic ={}

s=["".join(sorted(input())) for i in range(n)]
ans=0
c = Counter(s)
#print(c)
for i in c.values():
  ans += i*(i-1)//2
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
dic ={}


for i in range(n):
  s=sorted(input())
  s="".join(s)
  if s in list(dic.keys()):
    dic[s]+=1
  else:
    dic[s]=1
ans=0
for i in dic.values():
  ans += i*(i-1)//2
print(ans)

Fixed submission:
from collections import Counter
n=int(input())
#dic ={}

s=["".join(sorted(input())) for i in range(n)]
ans=0
c = Counter(s)
#print(c)
for i in c.values():
  ans += i*(i-1)//2
print(ans)
Buggy python submission (verdict: Runtime Error):
n,d=map(int,input().split())

x=[list(map(int,input().split())) for i in range(n)]

lis=[False for i in range(16001)]
for i in range(1264):
  lis[i*i]=True
  
ans=0
for i in range(n):
  for j in range(i):
    dis=sum([(x[i][k]-x[j][k])*(x[i][k]-x[j][k]) for k in range(d)])
    print(dis)
    if lis[dis]:
      ans += 1
print(ans)

Fixed submission:
n,d=map(int,input().split())

x=[list(map(int,input().split())) for i in range(n)]

lis=[False for i in range(16001)]
i=0
while(i*i<16000):
  lis[i*i]=True
  i+=1
  
ans=0
for i in range(n):
  for j in range(i):
    dis=sum([(x[i][k]-x[j][k])*(x[i][k]-x[j][k]) for k in range(d)])
 #   print(dis)
    if lis[dis]:
      ans += 1
print(ans)

Buggy python submission (verdict: Runtime Error):
n,d=map(int,input().split())

x=[list(map(int,input().split())) for i in range(n)]

lis=[False for i in range(5000)]
for i in range(65):
  lis[i*i]=True
  
ans=0
for i in range(n):
  for j in range(i):
    dis=sum([(x[i][k]-x[j][k])*(x[i][k]-x[j][k]) for k in range(d)])
    #print(dis)
    if lis[dis]:
      ans += 1
print(ans)

Fixed submission:
n,d=map(int,input().split())

x=[list(map(int,input().split())) for i in range(n)]

lis=[False for i in range(16001)]
i=0
while(i*i<16000):
  lis[i*i]=True
  i+=1
  
ans=0
for i in range(n):
  for j in range(i):
    dis=sum([(x[i][k]-x[j][k])*(x[i][k]-x[j][k]) for k in range(d)])
 #   print(dis)
    if lis[dis]:
      ans += 1
print(ans)

Buggy python submission (verdict: Runtime Error):
n,d=map(int,input().split())

x=[list(map(int,input().split())) for i in range(n)]

lis=[False for i in range(5000)]
for i in range(65):
  lis[i*i]=True
  
ans=0
for i in range(n):
  for j in range(i):
    dis=sum([(x[i][k]-x[j][k])*(x[i][k]-x[j][k]) for k in range(d)])
    print(dis)
    if lis[dis]:
      ans += 1
print(ans)

Fixed submission:
n,d=map(int,input().split())

x=[list(map(int,input().split())) for i in range(n)]

lis=[False for i in range(16001)]
i=0
while(i*i<16000):
  lis[i*i]=True
  i+=1
  
ans=0
for i in range(n):
  for j in range(i):
    dis=sum([(x[i][k]-x[j][k])*(x[i][k]-x[j][k]) for k in range(d)])
 #   print(dis)
    if lis[dis]:
      ans += 1
print(ans)

Buggy python submission (verdict: Runtime Error):
n,d=map(int,input().split())

x=[list(map(int,input().split())) for i in range(n)]

lis=[False for i in range(4000)]
for i in range(63):
  lis[i*i]=True
  
ans=0
for i in range(n):
  for j in range(i):
    dis=sum([(x[i][k]-x[j][k])*(x[i][k]-x[j][k]) for k in range(d)])
    if lis[dis]:
      ans += 1
print(ans)

Fixed submission:
n,d=map(int,input().split())

x=[list(map(int,input().split())) for i in range(n)]

lis=[False for i in range(16001)]
i=0
while(i*i<16000):
  lis[i*i]=True
  i+=1
  
ans=0
for i in range(n):
  for j in range(i):
    dis=sum([(x[i][k]-x[j][k])*(x[i][k]-x[j][k]) for k in range(d)])
 #   print(dis)
    if lis[dis]:
      ans += 1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())

i = 2
N_ = N
ans = 0

divisor = {}
while(N_>1):
    if N_ % i == 0:
        divisor[i] = 0
        while(N_ % i == 0):
            divisor[i] += 1
            N_ //= i
    i += 1

ans += 0
def solve(dic,keys,n,i):
    if i == len(keys):
 #       print(n)
        if n-1 != 0 and N == (N % (n-1))*n:
            global ans
            ans += n-1

    else:
        for j in range(dic[keys[i]]+1):
            solve(dic,keys,n*keys[i]**j,i+1)

#print(divisor)
ans = 0 
solve(divisor,list(divisor.keys()),1,0)
print(ans)


Fixed submission:
N = int(input())

i = 2
N_ = N
ans = 0

divisor = {}
for i in range(2,N):
    if N_ % i == 0:
        divisor[i] = 0
        while(N_ % i == 0):
            divisor[i] += 1
            N_  //= i
#;            print(N_,i)
    if i *i > N_:
        if N_ != 1:
            if N_ in divisor.keys():
                divisor[N_] += 1
            else:
                divisor[N_] = 1
        break

ans += 0
def solve(dic,keys,n,i):
    if i == len(keys):
#        print(n)
        if n-1 != 0 and N == (N % (n-1))*n:
            global ans
            ans += n-1

    else:
        for j in range(dic[keys[i]]+1):
            solve(dic,keys,n*keys[i]**j,i+1)

#print(divisor)
ans = 0 
solve(divisor,list(divisor.keys()),1,0)
print(ans)
Buggy python submission (verdict: Runtime Error):
A,B,C = [int(x) for x in input().split()]

if ( a < c <b or b< c A):
  print("Yes")
else:
  print("No")

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

if a < c < b or b < c < a:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Time Limit Exceeded):
N,M=[int(x) for x in input().split()]

X = [int(x) for x in input().split()]

X.sort();

dif = [X[i+1]-X[i] for i in range(M-1)]
if M==1:
    dif = [0]
ans = sum(dif)
for i in range(N-1):
    ans -= max(dif)
    dif[dif.index(max(dif))] = 0

print(ans)


Fixed submission:
import sys

N,M=[int(x) for x in input().split()]
X = [int(x) for x in input().split()]

if N>=M:
    print(0)
    sys.exit()

X.sort();

dif = [X[i+1]-X[i] for i in range(M-1)]
dif.sort()
dif.reverse()
if M==1:
    dif = [0]

ans = sum(dif)
for i in range(N-1):
    ans -= dif[i]

print(ans)
Buggy python submission (verdict: Runtime Error):
N,W,H=[int(i) for i in input.split()]

ans=0

for i in range(N):
    h,w=[int(x) for x in input.split()]
    if h<=H and w<= W:
        ans+=1

print(ans)


Fixed submission:
N,W,H=[int(i) for i in input().split()]

ans=0

for i in range(N):
  w,h=[int(x) for x in input().split()]
  if h>=H and w>= W:
    ans+=1

print(ans)

Buggy python submission (verdict: Runtime Error):
N,W,H=[int(i) for i in input.split()]

ans=0

for i in range(N):
  h,w=[int(x) for x in input.split()]
  if h<=H and w<= W:
    ans+=1

print(ans)

Fixed submission:
N,W,H=[int(i) for i in input().split()]

ans=0

for i in range(N):
  w,h=[int(x) for x in input().split()]
  if h>=H and w>= W:
    ans+=1

print(ans)

Buggy python submission (verdict: Runtime Error):
N,W,H=[int(i) for i in input.split()]

nas=0

for i in range(N):
  h,w=[int(x) for x in input.split()]
  if h<=H and w<= W:
    ans+=1

print(ans)

Fixed submission:
N,W,H=[int(i) for i in input().split()]

ans=0

for i in range(N):
  w,h=[int(x) for x in input().split()]
  if h>=H and w>= W:
    ans+=1

print(ans)
Buggy python submission (verdict: Runtime Error):
import sys

N,P=[int(i) for i in input().split()]
i=2
ans = 1
c=0
if N == 1:
  print(P)
  sys.exit()
while P>i*i:
  if P%i==0:
    P//=i
    c+=1
    if c==N:
      ans*=i
      c=0
  else:
    c=0
    i+=1
if p==i and c+1 ==N:
  ans*=i
print(ans)


Fixed submission:
import sys

N,P=[int(i) for i in input().split()]
i=2
ans = 1
c=0
if N == 1:
  print(P)
  sys.exit()
while P>i*i-4:
  if P%i==0:
    P//=i
    c+=1
    if c==N:
      ans*=i
      c=0
  else:
    c=0
    i+=1
if P==i and c+1 ==N:
  ans*=i
print(ans)

Buggy python submission (verdict: Runtime Error):
import sys

N,P=[int(i) for i in input().split()]
i=2
ans = 1
c=0
if N == 1:
  print(P)
  sys.exit()
while P>i*i:
  if P%i==0:
    P//=i
    c+=1
    if c==N:
      ans*=i
      c=0
  else:
    c=0
    i+=1
if p==i and c+1 ==N:
  ans*=i
print(ans)


Fixed submission:
import sys

N,P=[int(i) for i in input().split()]
i=2
ans = 1
c=0
if N == 1:
  print(P)
  sys.exit()
while P>i*i-4:
  if P%i==0:
    P//=i
    c+=1
    if c==N:
      ans*=i
      c=0
  else:
    c=0
    i+=1
if P==i and c+1 ==N:
  ans*=i
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import sys

N,P=[int(i) for i in input().split()]
i=2
ans = 1
c=0
if N == 1:
  print(P)
  sys.exit()
while P>1:
  if P%i==0:
    P//=i
    c+=1
    if c==N:
      ans*=i
      c=0
  else:
    c=0
    i+=1
print(ans)


Fixed submission:
import sys

N,P=[int(i) for i in input().split()]
i=2
ans = 1
c=0
if N == 1:
  print(P)
  sys.exit()
while P>i*i-4:
  if P%i==0:
    P//=i
    c+=1
    if c==N:
      ans*=i
      c=0
  else:
    c=0
    i+=1
if P==i and c+1 ==N:
  ans*=i
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N,P=[int(i) for i in input().split()]
i=2
ans = 1
c=0
while P>1:
  if P%i==0:
    P//=i
    c+=1
    if c==N:
      ans*=i
      c=0
  else:
    c=0
    i+=1

print(ans)

Fixed submission:
import sys

N,P=[int(i) for i in input().split()]
i=2
ans = 1
c=0
if N == 1:
  print(P)
  sys.exit()
while P>i*i-4:
  if P%i==0:
    P//=i
    c+=1
    if c==N:
      ans*=i
      c=0
  else:
    c=0
    i+=1
if P==i and c+1 ==N:
  ans*=i
print(ans)

Buggy python submission (verdict: Runtime Error):
N,P=[input().split()]
i=2
ans = 1
c=0
while P>1:
  if P%i==0:
    P//=i
    c+=1
    if c==N:
      ans*=i
      c=0
  else:
    c=0
    i+=1

print(ans)

Fixed submission:
import sys

N,P=[int(i) for i in input().split()]
i=2
ans = 1
c=0
if N == 1:
  print(P)
  sys.exit()
while P>i*i-4:
  if P%i==0:
    P//=i
    c+=1
    if c==N:
      ans*=i
      c=0
  else:
    c=0
    i+=1
if P==i and c+1 ==N:
  ans*=i
print(ans)
Buggy python submission (verdict: Runtime Error):
n=int(input())

e=[0 for i in range(n)]
for i in range(2,n):
  for j in range(2,i):
    if i==1:
      break
    while i%j==0:
      i//=j
      e[j]+=1

def num(k):
  ret=0
  for i in range(n):
    if e[i]>=k:
      ret += 1
print(num(75) + num(25) * (num(3) - 1) + num(15) * (num(5) - 1) + num(5) * (num(5) - 1) * (num(3) - 2) // 2)

Fixed submission:
n=int(input())
e=[0 for i in range(n+1)]
for i in range(2,n+1):
  for j in range(2,i+1):
    if i==1:
      break
    while i%j==0:
      i//=j
      e[j]+=1

def num(k):
  ret=0
  for i in range(n):
    if e[i]>=k-1:
      ret += 1
  return ret
print(num(75) + num(25) * (num(3) - 1) + num(15) * (num(5) - 1) + num(5) * (num(5) - 1) * (num(3) - 2) // 2)
Buggy python submission (verdict: Runtime Error):
n =int(input())
a=[int(x) for x in input().spllit()]

s=sum(a)
ans=0
diff=abs(s-a[0]*n)
for i in range(len(a)):
  if diff<abs(s-a[i]*n):
    diff= abs(s-a[i]*n)
    ans=i
print(i)

Fixed submission:
n =int(input())
a=[int(x) for x in input().split()]
 
s=sum(a)
ans=0
diff=abs(s-a[0]*n)
for i in range(n):
  if diff>abs(s-a[i]*n): 
    diff= abs(s-a[i]*n)
    ans=i
print(ans)
Buggy python submission (verdict: Runtime Error):
import math
math.gcd(1,2)

x,y = [int(i) for i in input().split()]

print(x+y//2)

Fixed submission:
x,y = [int(i) for i in input().split()]

print(x+y//2)
Buggy python submission (verdict: Runtime Error):
H,W,K = [int(i) for i in input().split()]

DP = [[0 for i in range(W)]for j in range(2)]

t = [0 for i in range(W+10)]

t[1] = 1
t[2] = 2
for i in range(2,W+8):
    t[i+1] = t[i] + t[i-1]

#print(t)
n = 0
DP[0][0] = 1
for i in range(H):
    if W == 1:
        break
    DP[not(n)][0] = (DP[n][0] * t[W-1] + DP[n][1] * t[W-2]) % 1000000007
    for i in range(1,W-1):
        DP[not(n)][i] =( DP[n][i-1] *t[W - (i+1)] + DP[n][i]*(t[i-1] + t[W-i]) + DP[n][i+1]*t[i-2] ) % 1000000007
    
    DP[not(n)][W-1] = (DP[n][W-2]*t[W-2] + DP[n][W-1] * t[W-1]) % 1000000007
    n = not(n)
print(DP[n][K])


Fixed submission:
H,W,K = [int(i) for i in input().split()]

DP = [[0 for i in range(W)]for j in range(2)]

t = [0 for i in range(W+10)]
t[0]  = 1
t[1] = 1
t[2] = 2
for i in range(2,W+8):
    t[i+1] = t[i] + t[i-1]

#print(t)
n = 0
DP[0][0] = 1
for i in range(H):
    if W == 1:
        break
    DP[not(n)][0] = (DP[n][0] * t[W-1] + DP[n][1] * t[W-2]) % 1000000007
    for i in range(1,W-1):
        DP[not(n)][i] =( DP[n][i-1] *(t[W-i-1] * t[i-1]) + DP[n][i] * (t[i] * t[W-i-1]) + DP[n][i+1]*(t[W-i-2] * t[i])) % 1000000007
    
    DP[not(n)][W-1] = (DP[n][W-2]*t[W-2] + DP[n][W-1] * t[W-1]) % 1000000007
    n = not(n)
print(DP[n][K-1])
Buggy python submission (verdict: Runtime Error):
def gcd(a,b):
  if a%b == 0:
    return b
  return gcd(b,a//b)


N,M = [int(i) for i in input().split()]

S = input()
T = input()

x = N * M // gcd(N,M)
flag = True

#print(S[0 * (N / math.gcd(N,M)) + 1])
for i in range(gcd(N,M)):
  if not(S[i * (N //gcd(N,M))] == T[i * (M // gcd(N,M))]):
    flag = False
#    print(S[i * (N // math.gcd(N,M))]  , T[i * (M // math.gcd(N,M))])
if flag:
  print(x)
else:
  print('-1')

Fixed submission:
def gcd(a,b):
  if a%b == 0:
    return b
  return gcd(b,a%b)


N,M = [int(i) for i in input().split()]

S = input()
T = input()

x = N * M // gcd(N,M)
flag = True

#print(S[0 * (N / math.gcd(N,M)) + 1])
for i in range(gcd(N,M)):
  if not(S[i * (N //gcd(N,M))] == T[i * (M // gcd(N,M))]):
    flag = False
#    print(S[i * (N // math.gcd(N,M))]  , T[i * (M // math.gcd(N,M))])
if flag:
  print(x)
else:
  print('-1')

Buggy python submission (verdict: Runtime Error):
import math

N,M = [int(i) for i in input().split()]

S = input()
T = input()

x = N * M // math.gcd(N,M)
flag = True

#print(S[0 * (N / math.gcd(N,M)) + 1])
for i in range(math.gcd(N,M)):
  if not(S[i * (N // math.gcd(N,M))] == T[i * (M // math.gcd(N,M))]):
    flag = False
#    print(S[i * (N // math.gcd(N,M))]  , T[i * (M // math.gcd(N,M))])
if flag:
  print(x)
else:
  print('-1')

Fixed submission:
def gcd(a,b):
  if a%b == 0:
    return b
  return gcd(b,a%b)


N,M = [int(i) for i in input().split()]

S = input()
T = input()

x = N * M // gcd(N,M)
flag = True

#print(S[0 * (N / math.gcd(N,M)) + 1])
for i in range(gcd(N,M)):
  if not(S[i * (N //gcd(N,M))] == T[i * (M // gcd(N,M))]):
    flag = False
#    print(S[i * (N // math.gcd(N,M))]  , T[i * (M // math.gcd(N,M))])
if flag:
  print(x)
else:
  print('-1')

Buggy python submission (verdict: Runtime Error):
import math

N,M = [int(i) for i in input().split()]

S = input()
T = input()

x = N * M // math.gcd(N,M)
flag = True

#print(S[0 * (N / math.gcd(N,M)) + 1])
for i in range(math.gcd(N,M)):
  if not(S[i * (N // math.gcd(N,M))] == T[i * (M // math.gcd(N,M))]):
    flag = False
#    print(S[i * (N // math.gcd(N,M))]  , T[i * (M // math.gcd(N,M))])
if flag:
  print(x)
else:
  print('-1')

Fixed submission:
def gcd(a,b):
  if a%b == 0:
    return b
  return gcd(b,a%b)


N,M = [int(i) for i in input().split()]

S = input()
T = input()

x = N * M // gcd(N,M)
flag = True

#print(S[0 * (N / math.gcd(N,M)) + 1])
for i in range(gcd(N,M)):
  if not(S[i * (N //gcd(N,M))] == T[i * (M // gcd(N,M))]):
    flag = False
#    print(S[i * (N // math.gcd(N,M))]  , T[i * (M // math.gcd(N,M))])
if flag:
  print(x)
else:
  print('-1')
Buggy python submission (verdict: Runtime Error):

lis = []

N,M = [int(i) for i in input().split()]
M_ = M
i = 2

while True:
    if M % i == 0:
        M = M // i
        lis.append(i)
    elif M == 1:
        break
    else:
        i += 1
ans = M_

for n in range(2**len(lis)):
    m = bin(n)[-1:1:-1]
    ret = 1
    for l in range(len(m)):
        if int(m[l]):
            ret *= lis[l]
           # print(lis[l])
            if  ret >= N:
                break
    if ret >= N:
        #print(ret)
        ans = min(ans,ret)

print(M_//ans)


Fixed submission:
N = input()

if N == '1':
    print("Hello World")

else:
    print(int(input()) + int(input()))
Buggy python submission (verdict: Runtime Error):
N, T = [int(i) for i in input().split()]
ans = LTE
for i in range(N):
    c1, c2 = [int(j) for j in input().split()]

    if c2 <= T:
        ans = c1

print(ans)

Fixed submission:
N, T = [int(i) for i in input().split()]
ans = 1500
for i in range(N):
    c1, c2 = [int(j) for j in input().split()]

    if c2 <= T:
        ans = min(c1,ans)

if ans == 1500:
    ans = "TLE"
print(ans)

Buggy python submission (verdict: Runtime Error):
N,T = [int(i) for i in input()]
ans = LTE
for i in range(N):
  c1,c2 = [int(j) for j in input()]
  
  if c2 <= T:
    ans = c1
    
print(ans)

Fixed submission:
N, T = [int(i) for i in input().split()]
ans = 1500
for i in range(N):
    c1, c2 = [int(j) for j in input().split()]

    if c2 <= T:
        ans = min(c1,ans)

if ans == 1500:
    ans = "TLE"
print(ans)
Buggy python submission (verdict: Runtime Error):
n = int(input())

v = [int(i) for i in input().split()]

v1 = {}

v2 = {}

for i in range(n//2):
    if  v[2 *i +1] in v1.keys():
        v1[v[2 * i +1]] += 1
    else:
        v1[v[2 * i + 1]] = 1

    if v[2 * i] in v2.keys():
        v2[v[2 * i]] += 1
    else:
        v2[v[2 * i]] = 1


v1 = sorted(v1.items(),key=lambda x: - x[0])
v2 = sorted(v2.items(),key=lambda x: - x[0])
v1.reverse()
v2.reverse()
v1.append((None,0))
v2.append((None,0))
@print(v1)
if v1[0][0] == v2[0][0]:
    ans = max(v1[0][1]+v2[1][1] , v1[1][1] + v2[0][1])
else:
    ans = v1[0][1] + v2[0][1]

print(n - ans)

Fixed submission:
n = int(input())

v = [i for i in input().split()]

v1 = {}

v2 = {}

for i in range(n//2):
    if  v[2 *i +1] in v1.keys():
        v1[v[2 * i +1]] += 1
    else:
        v1[v[2 * i + 1]] = 1

    if v[2 * i] in v2.keys():
        v2[v[2 * i]] += 1
    else:
        v2[v[2 * i]] = 1


v1 = sorted(v1.items(),key=lambda x:  x[1])
v2 = sorted(v2.items(),key=lambda x:  x[1])
v1.reverse()
v2.reverse()
v1.append((None,0))
v2.append((None,0))
#print(v1)
if v1[0][0] == v2[0][0]:
    ans = max(v1[0][1]+v2[1][1] , v1[1][1] + v2[0][1])
else:
    ans = v1[0][1] + v2[0][1]

print(n - ans)
Buggy python submission (verdict: Runtime Error):
a  = input()
 
ans = 0
a = [int(i) for i in input().split()]
 
for num in a:
  ans += num - 1
  
 print(ans)

Fixed submission:
a  = input()
 
ans = 0
a = [int(i) for i in input().split()]
 
for num in a:
  ans += num - 1
  
print(ans)

Buggy python submission (verdict: Runtime Error):
input()

ans = 0
a = [int(i) for i in input().split()]

for num in a:
  ans += num - 1
  
 print(ans)

Fixed submission:
a  = input()
 
ans = 0
a = [int(i) for i in input().split()]
 
for num in a:
  ans += num - 1
  
print(ans)
Buggy python submission (verdict: Runtime Error):
a,b = [int(i) i for i in input().split()]
if a*b == 15:
  print('*')
elif a+b == 15:
  print('+')
else:
  print('x')

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

if a+b == 15:
    print('+')
elif a*b == 15:
    print('*')
else:
    print('x')

Buggy python submission (verdict: Runtime Error):
a,b = [int(i) i for i in input().split()]
if a*b == 15:
	print('*')
elif a+b == 15:
	print('+')
else:
  	print('x')

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

if a+b == 15:
    print('+')
elif a*b == 15:
    print('*')
else:
    print('x')
Buggy python submission (verdict: Runtime Error):
n,m,d = [int(i) for i in input().split()]

ans = 2(n-d)*(m-1)/(n*n)

print(ans)


Fixed submission:
n,m,d = [int(i) for i in input().split()]
if d == 0:
    ans = (n-d)*(m-1)/(n*n)
else:
    ans = 2*(n-d)*(m-1)/(n*n)

print(ans)
Buggy python submission (verdict: Runtime Error):
N,K =[int(i) for i in input().split(' ')]

A = [int(i) for i in input().split(' ' )]
index_1 = -1

for i in range(len(A)):
    #print(index_1)
    if A[i]==1:
        index_1 = i
        break

ans = 0
if index_1%(K-1)==0:
    ans += index_1 // (K-1)
else:
    ans += index_1 //(K-1) + 1

if (N-index_1 -1)%(K-1)==0:
    ans += (N - index_1-1) // (K-1)
else:
    ans += (N - index_1 -1) //(K-1) + 1
    
print(ans)


Fixed submission:
S = input()
ans =0
for i in S:
    if i=='+':
        ans +=1
    else:
        ans-=1

print(ans)

Buggy python submission (verdict: Runtime Error):
lis = input()
ans = 0
for i in lis:
  if i=='+':
    ans +=1
   else:
    ans-=1
    
print(ans)

Fixed submission:
S = input()
ans =0
for i in S:
    if i=='+':
        ans +=1
    else:
        ans-=1

print(ans)
Buggy python submission (verdict: Runtime Error):
N,K =[int(i) for i in input().split(' ')]

A = [int(i) for i in input().split(' ')]
"""
index_1 = -1

for i in range(len(A)):
    #print(index_1)
    if A[i]==1:
        index_1 = i
        break

ans = 0
if index_1%(K-1)==0:
    ans += index_1 // (K-1)
else:
    ans += index_1 //(K-1) + 1

if (N-index_1 -1)%(K-1)==0:
    ans += (N - index_1-1) // (K-1)
else:
    ans += (N - index_1 -1) //(K-1) + 1
    
print(ans)
"""
ans =0
if (N-1)%(k-1) ==0:
    ans = (N-1)//(k-1)
else:
    ans = (N-1)//(k-1) +1
print(ans)


Fixed submission:
N,K =[int(i) for i in input().split(' ')]

A = [int(i) for i in input().split(' ')]
"""
index_1 = -1

for i in range(len(A)):
    #print(index_1)
    if A[i]==1:
        index_1 = i
        break

ans = 0
if index_1%(K-1)==0:
    ans += index_1 // (K-1)
else:
    ans += index_1 //(K-1) + 1

if (N-index_1 -1)%(K-1)==0:
    ans += (N - index_1-1) // (K-1)
else:
    ans += (N - index_1 -1) //(K-1) + 1
    
print(ans)
"""
ans =0
if (N-1)%(K-1) ==0:
    ans = (N-1)//(K-1)
else:
    ans = (N-1)//(K-1) +1
print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())

num = [1]
memo = [[ -1 for i in range(12)]for j in range(100000)]
n = 6
while True:
    num.append(n)
    n *= 6
    if n > 100000:
        break
n = 9
while True:
    num.append(n)
    n *= 9
    if n > 100000:
        break
num.sort()

ans = 0
print(num)
#while N > 6:

def DP(n , index):
    if index == 0:
        return  n
    elif n == 0:
        return 0
    min_ = 10000000
    if n < num[index]:
        #print(n,num[index])
        return DP(n,index - 1)
    can = num[index]
    #print(index)
#    print(n//can)
    for i in range(n // can+1):
        min_ = min(min_ , DP(n - i * can,index - 1) + i)
 #       print(i,n,index,DP(n - i*can,index-1))
    
     #   print(min_)
    #print(min_)
    memo[n][index] = min_
    return min_
    
print(DP(N,11))


Fixed submission:
N = int(input())
#num = [1]
#print("a")
"""
#memo = [[ -1 for i in range(12)]for j in range(100000)]
n = 6
while True:
    num.append(n)
    n *= 6
    if n > 100000:
        break
n = 9
while True:
    num.append(n)
    n *= 9
    if n > 100000:
        break
num.sort()

ans = 0
print(num)
#while N > 6:

def DP(n , index):
    if index == 0:
        return  n
    elif n == 0:
        return 0
    min_ = 10000000
    if n < num[index]:
        #print(n,num[index])
        return DP(n,index - 1)
    can = num[index]
    #print(index)
#    print(n//can)
    for i in range(n // can+1):
        min_ = min(min_ , DP(n - i * can,index - 1) + i)
 #       print(i,n,index,DP(n - i*can,index-1))
    
     #   print(min_)
    #print(min_)
    memo[n][index] = min_
    return min_
    
print(DP(N,11))
"""

def ninep(N):
    if N <9:
        return N
    ans = 0
    while N > 0:
        ans += N % 9
        N =N // 9
    return ans


def sixp(N):
    if N <6:
        return N
    ans = 0
    while N > 0:
        ans += N % 6
        N = N // 6
    return ans


ans = 1000000
for i in range(N+1):
    ans = min(ans,ninep(i) + sixp(N - i))
#    print(ninep(i), sixp(N - i),i)

print(ans)
Buggy python submission (verdict: Runtime Error):
a , b = input().split()
a = int(a)
b = int(b)
print(a,b)
if b > a:
    print(a+1)
else:
    print(a)

Fixed submission:
a , b = input().split()
a = int(a)
b = int(b)
if b >= a:
    print(a)
else:
    print(a-1)

Buggy python submission (verdict: Runtime Error):
a , b = input().split()
a = int(a)
b = int(b)
print(a,b)
if b > a:
    print(a+1)
else:
    print(a)

Fixed submission:
a , b = input().split()
a = int(a)
b = int(b)
if b >= a:
    print(a)
else:
    print(a-1)