Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    divisors.sort()
    return divisors[::-1]

n,p=map(int,input().split())
divisors=make_divisors(p)

for i in divisors:
    if i<=p/i**(n-1) and p%i**n==0:
        print(i)
        exit()
        

Fixed submission:
def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    divisors.sort()
    return divisors[::-1]

n,p=map(int,input().split())
divisors=make_divisors(p)
maxi=round(p**(1/n),10)

for i in divisors:
    if i<=maxi and p%i**n==0:
        print(i)
        exit()

Buggy python submission (verdict: Time Limit Exceeded):
def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    divisors.sort()
    return divisors[::-1]

n,p=map(int,input().split())
divisors=make_divisors(p)

for i in divisors:
    if i<=p/i**(n-1) and p%i**n==0:
        print(i)
        exit()
        

Fixed submission:
def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    divisors.sort()
    return divisors[::-1]

n,p=map(int,input().split())
divisors=make_divisors(p)
maxi=round(p**(1/n),10)

for i in divisors:
    if i<=maxi and p%i**n==0:
        print(i)
        exit()
Buggy python submission (verdict: Runtime Error):
n,x=map(int,input().split())
a=list(map(int,input().split()))
a.append(x)
a=sorted(a)
b=[0]*n
for i in range(n):
  b[i]=(a[i+1]-a[i])
import fractions
x1=(b[0]*b[1]) // fractions.gcd(b[0],b[1])
i=2
while i<=n-1:
  lcm=(x1*b[i])//fractions.gcd(x1,b[i])
  x1=lcm
  i+=1
print(x1)

Fixed submission:
n,x=map(int,input().split())
a=list(map(int,input().split()))
a.append(x)
a.sort(reverse=True)
b=[]
for i in range(n):
    b.append(a[i]-a[i+1])
import fractions as f
maxi=float('inf')
if len(b)==1:
    print(b[0])
    exit()
for i in range(n-1):
    tmp=f.gcd(b[i],b[i+1])
    maxi=min(maxi,tmp)
print(maxi)
Buggy python submission (verdict: Runtime Error):
d,n=map(int,input().split())
if d==1:
    base=100
elif d==2:
    base=10000
tmp=base
if d==0:
    print(n)
    exit()
for i in range(n-1):
   tmp+=base
print(tmp)

Fixed submission:
d,n=map(int,input().split())
if d==0 and n!=100:
    print(n)
elif d==0 and n==100:
    print(101)
elif d==1 and n!=100:
    print(n*100)
elif d==1 and n==100:
    print(10100)
elif d==2 and n!=100:
    print(n*10000)
elif d==2 and n==100:
    print(1010000)

Buggy python submission (verdict: Runtime Error):
d,n=map(int,input().split())
if d==0 and n!=100:
    print(n)
elif d==0 and n==100:
    print(101)
elif d==1 :
    print(n*100)
elif d==1 and n=100:
    print(10100)
elif d==2 and n!=100:
    print(n*10000)
elif d==2 and n==100:
    print(1010000)

Fixed submission:
d,n=map(int,input().split())
if d==0 and n!=100:
    print(n)
elif d==0 and n==100:
    print(101)
elif d==1 and n!=100:
    print(n*100)
elif d==1 and n==100:
    print(10100)
elif d==2 and n!=100:
    print(n*10000)
elif d==2 and n==100:
    print(1010000)

Buggy python submission (verdict: Runtime Error):
d,n=map(int,input().split())
if d==0 and n=!100:
    print(n)
elif d==0 and n==100:
    print(101)
elif d==1 :
    print(n*100)
elif d==1 and n=!100:
    print(10100)
elif d==2 and n!=100:
    print(n*10000)
else :
    print(1010000)

Fixed submission:
d,n=map(int,input().split())
if d==0 and n!=100:
    print(n)
elif d==0 and n==100:
    print(101)
elif d==1 and n!=100:
    print(n*100)
elif d==1 and n==100:
    print(10100)
elif d==2 and n!=100:
    print(n*10000)
elif d==2 and n==100:
    print(1010000)
Buggy python submission (verdict: Runtime Error):
a = int(input())
mi=[]
for i in range(1,a-1):
    x=0
    y=0
    j = a - i
    for ii in str(i):
        x+=int(ii)
    for jj in str(j):
        y+=int(jj)
    mi.append(x+y)
print(min(mi))

Fixed submission:
a = int(input())
mi=[]
for i in range(1,a):
    x=0
    y=0
    j = a - i
    for ii in str(i):
        x+=int(ii)
    for jj in str(j):
        y+=int(jj)
    mi.append(x+y)
print(min(mi))

Buggy python submission (verdict: Runtime Error):
a = int(input())
mi=[]
for i in range(1,a-1):
    x=0
    y=0
    j = a - i
    for ii in str(i):
        x+=int(ii)
    for jj in str(j):
        y+=int(jj)
    mi.append(x+y)
print(min(mi))

Fixed submission:
a = int(input())
mi=[]
for i in range(1,a):
    x=0
    y=0
    j = a - i
    for ii in str(i):
        x+=int(ii)
    for jj in str(j):
        y+=int(jj)
    mi.append(x+y)
print(min(mi))
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(input())
mini=float('inf')
for i in range(n):
    x=a[:i].count("W")
    y=a[i+1:].count("E")
    mini=min(mini,x+y)
print(mini)

Fixed submission:
n=int(input())
a=input()
import collections 
e=a.count("E")
w=0
mini=n
for i in range(n):
    if a[i]=="E":
        e-=1
    if i!=0 and a[i-1]=="W":
        w+=1
    mini=min(mini,e+w)
print(mini)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(input())
mini=float('inf')
for i in range(n):
    x=a[:i].count("W")
    y=a[i+1:].count("E")
    mini=min(mini,x+y)
print(mini)

Fixed submission:
n=int(input())
a=input()
import collections 
e=a.count("E")
w=0
mini=n
for i in range(n):
    if a[i]=="E":
        e-=1
    if i!=0 and a[i-1]=="W":
        w+=1
    mini=min(mini,e+w)
print(mini)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(input())
left_W=[]
right_E=[]
for i in range(n):
    x=a[:i].count("W")
    left_W.append(x)
    y=a[i+1:].count("E")
    right_E.append(y)
mini=float('inf')
for i in range(n):
    tmp=left_W[i]+right_E[i]
    mini=min(mini,tmp)
print(mini)

Fixed submission:
n=int(input())
a=input()
import collections 
e=a.count("E")
w=0
mini=n
for i in range(n):
    if a[i]=="E":
        e-=1
    if i!=0 and a[i-1]=="W":
        w+=1
    mini=min(mini,e+w)
print(mini)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(input())
mini=3*10**5
for i in range(n):
    temp=0
    x=a[:i].count("W")
    y=a[i+1:].count("E")
    temp=x+y
    mini=min(mini,temp)
print(mini)

Fixed submission:
n=int(input())
a=input()
import collections 
e=a.count("E")
w=0
mini=n
for i in range(n):
    if a[i]=="E":
        e-=1
    if i!=0 and a[i-1]=="W":
        w+=1
    mini=min(mini,e+w)
print(mini)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(input())
mini=3*10**5
for i in range(n):
    temp=0
    x=a[:i].count("W")
    y=a[i+1:].count("E")
    temp=x+y
    mini=min(mini,temp)
print(mini)

Fixed submission:
n=int(input())
a=input()
import collections 
e=a.count("E")
w=0
mini=n
for i in range(n):
    if a[i]=="E":
        e-=1
    if i!=0 and a[i-1]=="W":
        w+=1
    mini=min(mini,e+w)
print(mini)
Buggy python submission (verdict: Runtime Error):
s=input()
n=len(s)
k=int(input())
st=min(s)

if k==1:
    print(st)
    exit()

ans=[]
x=1
while x<6:
    for i in range(n-x):
        if i<0:
            continue
        for j in range(i+x,n+x):
            if j>n:
                continue
            ans.append(s[i:j])
    x+=1
    
ans=list(set(ans))
ans=sorted(ans)
print(ans[k-1])

Fixed submission:
s=input()
k=int(input())

lis=[]

for i in range(len(s)):
    for j in range(k):
        tmp=s[i:i+j+1]
        lis.append(tmp)

lis=sorted(list(set(lis)))        
print(lis[k-1])

Buggy python submission (verdict: Runtime Error):
s=input()
n=len(s)
k=int(input())
st=min(s)

if k==1:
    print(st)
    exit()

ans=[]
x=1
while x<6:
    for i in range(n-x):
        if n-x<0:
            continue
        for j in range(i+x,n+x):
            if n+x>n:
                continue
            ans.append(s[i:j])
    x+=1
    
ans=list(set(ans))
ans=sorted(ans)
print(ans[k-1])

Fixed submission:
s=input()
k=int(input())

lis=[]

for i in range(len(s)):
    for j in range(k):
        tmp=s[i:i+j+1]
        lis.append(tmp)

lis=sorted(list(set(lis)))        
print(lis[k-1])

Buggy python submission (verdict: Runtime Error):
s=input()
n=len(s)
k=int(input())
st=min(s)

if k==1:
    print(st)
    exit()

ans=[]
x=1
while x<6:
    for i in range(n-x):
        for j in range(i+x,n+x):
            ans.append(s[i:j])
    x+=1
    
ans=list(set(ans))
ans=sorted(ans)
print(ans[k-1])

Fixed submission:
s=input()
k=int(input())

lis=[]

for i in range(len(s)):
    for j in range(k):
        tmp=s[i:i+j+1]
        lis.append(tmp)

lis=sorted(list(set(lis)))        
print(lis[k-1])

Buggy python submission (verdict: Runtime Error):
s=input()
n=len(s)
k=int(input())
st=min(s)

if k==1:
    print(st)
    exit()

if n<=20:
    ans=[]
    for i in range(n-1):
        for j in range(i+1,n+1):
            ans.append(s[i:j])
    ans=list(set(ans))
    ans=sorted(ans)
    print(ans[k-1])
    exit()

option=[]
option.append(st)
ans=[]
while option:
    option=sorted(option)
    now=option[0]
    print(option,now)
    option=option[1:]
    ans.append(now)
    if len(ans)>=k:
        break
    for i in range(n-len(now)):
        tmp=s[i:i+len(now)+1]
        if tmp[:len(now)]==now and tmp not in option:
            option.append(tmp)

ans=sorted(ans)
print(ans[k-1])


Fixed submission:
s=input()
k=int(input())

lis=[]

for i in range(len(s)):
    for j in range(k):
        tmp=s[i:i+j+1]
        lis.append(tmp)

lis=sorted(list(set(lis)))        
print(lis[k-1])
Buggy python submission (verdict: Runtime Error):
h,w=map(int,input().split())
dx=[-1,1,0,0]
dy=[0,0,-1,1]
a=[]
for i in range(h):
    a.append(list(input()))
for i in range(h):
    for j in range(w):
        frag=False
        if a[i][j]=="#":
            for k in range(4):
                x=j+dx[k]
                y=i+dy[k]
                if x<0 or x>w-1 or y<0 or y>h-1:
                    continue
                if a[x][y]=="#":
                    frag=True
            if frag==False:
                print("No")
                exit()
print("Yes")

Fixed submission:
h,w=map(int,input().split())
dx=[-1,1,0,0]
dy=[0,0,-1,1]
a=[]
for i in range(h):
    a.append(list(input()))
for i in range(h):
    for j in range(w):
        if a[i][j]=="#":
            frag=False
            if j-1>=0 and a[i][j-1]=="#":
                frag=True
            if j+1<=w-1 and a[i][j+1]=="#":
                frag=True
            if i-1>=0 and a[i-1][j]=="#":
                frag=True
            if i+1<=h-1 and a[i+1][j]=="#":
                frag=True
            if frag==False:
                print("No")
                exit()
print("Yes")
Buggy python submission (verdict: Runtime Error):
a,b,k=map(int,input().split())
l=[i for i in range(a,b+1)]
for i in range(k):
    print(l[i])
for i in l[len(l)-k:]:
    print(i)

Fixed submission:
a,b,k=map(int,input().split())
li=[]
for i in range(a,a+k):
    if a<=i<=b:
        li.append(i)
for i in range(b-k+1,b+1):
    if a<=i<=b:
        li.append(i)
li=sorted(set(li))
for i in li:
    print(i)
Buggy python submission (verdict: Runtime Error):
n=int(input())
a1=list(map(int,input().split()))
a2=list(map(int,input().split()))
total=0
i=0
frag=True
while frag:
    total+=a1[i]
    sum1=sum(a1[i+1:])
    sum2=sum(a2[i:])
    if sum1>=sum2:
        i+=1
    else:
        if a1[i+1]>a2[i]:
            i+=1
        else:
            frag=False
total+=sum(a2[i:])
print(total)

Fixed submission:
n=int(input())
a=list(map(int,input().split()))
b=list(map(int,input().split()))
maxi=0
for i in range(n):
    total=0
    x=sum(a[:i+1])
    y=sum(b[i:])
    total=x+y
    maxi=max(total,maxi)
print(maxi)
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(map(int,input().split()))
b=set()
ans=0
for i in a:
    if i not in b:
        b.add(i)
        x=a.count(i)
        if x>=i:
            ans+=x-i
        else:
            ans+=x
print(ans)

Fixed submission:
n=int(input())
a=sorted(list(map(int,input().split())))
b=set()
ans=0
d={}
cnt=0
for i in range(n):
    if i!=0 and a[i]!=a[i-1]:
        d[a[i-1]]=cnt
        cnt=0
    cnt+=1
    if i==n-1:
        x=a.count(a[i])
        d[a[i]]=x
for i in d.keys():
    if d[i]>=i:
        ans+=d[i]-i
    else:
        ans+=d[i]
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
a=input()
n=len(a)
if n<5:
    print('NO')
    exit()

for i in range(2**(n+1)):
    s=""
    check=[""]*(n+1)
    for j in range(n+1):
        if ((i>>j)&1):
            check[j]="A"
    for k in range(n+1):
        s+=check[k]
        if k!=n:
            s+=a[k]
    if s=="AKIHABARA":
        print('YES')
        exit()
print('NO')

Fixed submission:
a=input()
n=len(a)
if n<5 or n>10:
    print('NO')
    exit()

for i in range(2**(n+1)):
    s=""
    check=[""]*(n+1)
    for j in range(n+1):
        if ((i>>j)&1):
            check[j]="A"
    for k in range(n+1):
        s+=check[k]
        if k!=n:
            s+=a[k]
    if s=="AKIHABARA":
        print('YES')
        exit()
print('NO')
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=[int(input()) for i in range(n)]
a=sorted(a)
i=1
while True:
    flag=True
    x=a[-1]*i
    for aa in range(n-1):
        if x%a[aa]!=0:
            flag=False
            break
    if flag==True:
        print(x)
        exit()
    i+=1

Fixed submission:
import fractions
N = int(input())
T = [int(input()) for i in range(N)]
 
ans = T[0]
for i in range(N-1):
    ans = ans * T[i+1]//fractions.gcd(ans, T[i+1])
print(ans)
Buggy python submission (verdict: Runtime Error):
n=int(input())
a=list(map(int,input().split()))
b=[]
i=n-1
for _ in range(n//2+1):
    b.append(a[i])
    i-=2
    if i<=-1:
        break
if n%2==0: 
    i=0
else:
    i=1
for _ in range(n//2+1):
    b.append(a[i])
    i+=2
    if i>=n-1:
        break
print(' '.join(map(str,b)))

Fixed submission:
n=int(input())
a=list(map(int,input().split()))
b=[]
i=n-1
if n==1:
    print(a[0])
    exit()
for _ in range(n//2+1):
    b.append(a[i])
    i-=2
    if i<=-1:
        break
if n%2==0: 
    i=0
else:
    i=1
for _ in range(n//2+1):
    b.append(a[i])
    i+=2
    if i>=n-1:
        break
print(' '.join(map(str,b)))
Buggy python submission (verdict: Runtime Error):
a,b=map(int,input(),split())
x=a+b
if x>=10:
    print('error')
else:
    print(x)

Fixed submission:
a,b=map(int,input().split())
x=a+b
if x>=10:
    print('error')
else:
    print(x)
Buggy python submission (verdict: Runtime Error):
def shortest_path(s,n,w,es):
#s→iの最短距離
# s:始点, n:頂点数, w:辺の数, es[i]: [辺の始点,辺の終点,辺のコスト]
    d = [float('inf')] * n
    #d[i] : s→iの最短距離
    d[s] = 0
    while True:
        update = False
        for p,q,r in es:
        # e: 辺iについて [from,to,cost]
            #print(d,p,q,r)
            if d[p] != float('inf') and d[q] > d[p] + r:
                d[q] = d[p] + r
                update = True
            if not update:
                print(1)
                break
            ans1=d[-1]
        update = False
        for p,q,r in es:
        # e: 辺iについて [from,to,cost]
            #print(d,p,q,r)
            if d[p] != float('inf') and d[q] > d[p] + r:
                d[q] = d[p] + r
                update = True

            ans2=d[-1]
        return -ans1 if ans1==ans2 else 'inf' 
################
n,w = map(int,input().split()) #n:頂点数　w:辺の数
es = [] #es[i]: [辺の始点,辺の終点,辺のコスト]
for _ in range(w):
 x,y,z = map(int,input().split())
 es.append([x-1,y-1,-z])
print(shortest_path(0,n,w,es))

Fixed submission:
def shortest_path(s,n,w,es):
#s→iの最短距離
# s:始点, n:頂点数, w:辺の数, es[i]: [辺の始点,辺の終点,辺のコスト]
    d = [float('inf')] * n
    #d[i] : s→iの最短距離
    d[s] = 0
    while True:
        for p,q,r in es:
        # e: 辺iについて [from,to,cost]
            #print(d,p,q,r)
            if d[p] != float('inf') and d[q] > d[p] + r:
                d[q] = d[p] + r
                update = True
            ans1=d[-1]
        update = False
        for p,q,r in es:
        # e: 辺iについて [from,to,cost]
            #print(d,p,q,r)
            if d[p] != float('inf') and d[q] > d[p] + r:
                d[q] = d[p] + r
            ans2=d[-1]
        return -ans1 if ans1==ans2 else 'inf' 
################
n,w = map(int,input().split()) #n:頂点数　w:辺の数
es = [] #es[i]: [辺の始点,辺の終点,辺のコスト]
for _ in range(w):
 x,y,z = map(int,input().split())
 es.append([x-1,y-1,-z])
print(shortest_path(0,n,w,es))
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=sorted(map(int,input().split()),reverse=True)
b=[]
while len(a):
    for i in range(n):
        a.remove(max(a))
        b.append(max(a))
        a.remove(max(a))
        a.remove(min(a))
print(sum(b))

Fixed submission:
n=int(input())
a=sorted(map(int,input().split()))
print(sum(a[n::2]))

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=sorted(map(int,input().split()),reverse=True)
b=[]
while len(a):
    for i in range(n):
        a.remove(max(a))
        b.append(max(a))
        a.remove(max(a))
        a.remove(min(a))
print(sum(b))

Fixed submission:
n=int(input())
a=sorted(map(int,input().split()))
print(sum(a[n::2]))
Buggy python submission (verdict: Runtime Error):
n=int(input())
def di(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)
    return divisors
li=di(n)
a=li[-1]
b=li[-2]
if a**2==n:
    print(len(str(a)))
else:
    print(max(len(str(a)),len(str(b))))

Fixed submission:
n=int(input())
def di(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)
    return divisors
li=di(n)
a=li[-1]
if a**2==n:
    print(len(str(a)))
elif n==1:
    print(1)
else:
    b=li[-2]
    print(max(len(str(a)),len(str(b))))

Buggy python submission (verdict: Runtime Error):
n=int(input())
def di(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)
    return divisors
li=di(n)
a=li[-1]
b=li[-2]
print(max(len(str(a)),len(str(b))))

Fixed submission:
n=int(input())
def di(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)
    return divisors
li=di(n)
a=li[-1]
if a**2==n:
    print(len(str(a)))
elif n==1:
    print(1)
else:
    b=li[-2]
    print(max(len(str(a)),len(str(b))))
Buggy python submission (verdict: Runtime Error):
def training(n):
    if n==1:
        return 1
    else:
        x=training(n-1)*n
        return x%mod
import sys
sys.setrecursionlimit(n+1)
n=int(input())
mod=10**9+7
print(training(n))

Fixed submission:
n=int(input())
import math 
print(math.factorial(n)%((10**9)+7))
Buggy python submission (verdict: Runtime Error):
n=int(input())
if n<=6:
    print(1)
    exit()
if n<=11:
    print(2)
    exit()
ans=(n//11)*2
mod=n%11
if 6<=mod<=10 :
    print(an+2)
elif mod==0:
    print(ans)
else:
    print(ans+1)

Fixed submission:
x=int(input())
if x%11>6:
    ans=(x//11)*2+2
elif x%11==0:
    ans=(x//11)*2
else:
    ans=(x//11)*2+1
print(ans)
Buggy python submission (verdict: Runtime Error):
a,b = map(int,input().split())
cnt=0
for x in range(a+1):
    for y in range(a+1):
        z = b-x-y
        if 0<=z<=a and x+y+z==b:
            cnt+=1
print(cnt)

Fixed submission:
a=input().split(",")
for i in a:
    print(i,end=" ")
Buggy python submission (verdict: Time Limit Exceeded):
a,b = map(int,input().split())
cnt=0
for x in range(a+1):
    for y in range(a+1):
        z = b-x-y
        if 0<=z<=a and x+y+z==b:
            cnt+=1
print(cnt)

Fixed submission:
a,b = map(int,input().split())
cnt=0
for x in range(a+1):
    for y in range(a+1):
        z = b-x-y
        if 0<=z<=a and x+y+z==b:
            cnt+=1
print(cnt)

Buggy python submission (verdict: Time Limit Exceeded):
a,b = map(int,input().split())
cnt=0
for x in range(a+1):
    for y in range(a+1):
        z = b-x-y
        if x+y+z==b and 0<=z<=a:
            cnt+=1
print(cnt)

Fixed submission:
a,b = map(int,input().split())
cnt=0
for x in range(a+1):
    for y in range(a+1):
        z = b-x-y
        if 0<=z<=a and x+y+z==b:
            cnt+=1
print(cnt)
Buggy python submission (verdict: Runtime Error):
x,y=0,0
for s,t,u in a:
    if u==1:
        x=max(x,s)
    elif u==2:
        w=min(w,s)
    elif u==3:
        y=max(y,t)
    else:
        h=min(h,t)
height=max(0,h-y)
width=max(0,w-x)
print(height*width)

Fixed submission:
w,h,n=map(int,input().split())
a=[[int(i) for i in input().split()] for i in range(n)]
nx=w
ny=h
x=0
y=0
for i in a:
    if i[2]==1:
        x=max(i[0],x)
    elif i[2]==2:
        nx=min(i[0],nx)
    elif i[2]==3:
        y=max(y,i[1])
    else :
        ny=min(ny,i[1])
xx=nx-x
yy=ny-y
print(xx*yy if xx>0 and yy>0 else 0)
Buggy python submission (verdict: Runtime Error):
a=list(input())
k=int(input())
al = "abcdefghijklmnopqrstuvwxyz"
alpha2num=lambda x:ord(x)-ord('a')+1
ans=[""]*len(a)

for i in range(len(a)):
    num=alpha2num(a[i])
    need=27-num
    if need==26:
        need=0
    if need<=k and i!=len(a)-1:
        ans[i]="a"
        k-=need
    elif need<=k and i==len(a)-1:
        remain=k%26
        if need<=remain:
            go=remain-need
        ans[-1]=chr(ord("a")+go)
    elif need>k and i!=len(a)-1:
        ans[i]=a[i]
    elif need>k and i==len(a)-1:
        ans[-1]=chr(ord(a[-1])+k)
print(''.join(ans))



Fixed submission:
def need(a):
    if a=="a":
        return 0
    else:
        return 123-ord(a)

s=list(input())
x=int(input())
i=0
while x>0:
    count=need(s[i])
    if x>=count:
        s[i]="a"
        x-=count
    
    if i==len(s)-1:
        s[i]=chr(ord(s[i])+(x%26))
        x=0
    i+=1
print("".join(s))
Buggy python submission (verdict: Runtime Error):
import math
A, B = map(float,input().split(" "))
print(math.floor(A * int(B * 100) / 100)


Fixed submission:
import math
A, B = map(str,input().split(" "))
B_ = int(B.split(".")[0])*100 + int(B.split(".")[1])

print(int(A) * B_ // 100)

Buggy python submission (verdict: Runtime Error):
A, B = map(int,input().split(" "))
print(int(A * B))

Fixed submission:
import math
A, B = map(str,input().split(" "))
B_ = int(B.split(".")[0])*100 + int(B.split(".")[1])

print(int(A) * B_ // 100)
Buggy python submission (verdict: Runtime Error):
from itertools import product
N, M = map(int, input().split(" "))
s = []
for i in range(M):
    s.append(list(map(int, input().split(" ")))[1:])

p = list(map(int, input().split(" ")))
ans = 0
for tup in product(range(2), repeat=M):
    for i in range(M):
        flg = True
        cnt = 0
        for d in s[i]:
            cnt += tup[d - 1]
        if cnt % 2 != p[i]:
            flg = False
            break

    if flg:
        ans += 1

print(ans)

Fixed submission:
from itertools import product
N, M = map(int, input().split(" "))
s = []
for i in range(M):
    s.append(list(map(int, input().split(" ")))[1:])

p = list(map(int, input().split(" ")))
ans = 0
for tup in product(range(2), repeat=N):
    for i in range(M):
        flg = True
        cnt = 0
        for d in s[i]:
            cnt += tup[d - 1]
        if cnt % 2 != p[i]:
            flg = False
            break

    if flg:
        ans += 1

print(ans)