Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())

if N==1:
    print(0)
    exit()
    

C=[0]*(N-1)
S=[0]*(N-1)
F=[0]*(N-1)

for i in range(N-1):
    C[i],S[i],F[i]=map(int,input().split())

for i in range(N-1):
    Time=0
    for j in range(i,N-1):
        if j==i:
            Time=S[i]
        else:
            cnt=0
            while S[j]+F[j]*cnt<Time+C[j-1]:
                cnt+=1
            Time=S[j]+F[j]*cnt
    Time+=C[N-2]
    print(Time)
print(0)





Fixed submission:
N=int(input())

if N==1:
    print(0)
    exit()


C=[0]*(N-1)
S=[0]*(N-1)
F=[0]*(N-1)

for i in range(N-1):
    C[i],S[i],F[i]=map(int,input().split())

for i in range(N-1):
    Time=0
    for j in range(i,N-1):
        if j==i:
            Time=S[i]
        else:
            cnt=max(0,(Time+C[j-1]-S[j]-1+F[j])//F[j])
            Time=S[j]+F[j]*cnt
    Time+=C[N-2]
    print(Time)
print(0)
Buggy python submission (verdict: Time Limit Exceeded):
Q=int(input())

PN=[-1]*(10**5+1)
PN[0]=0
PN[1]=0

def PN_chk(n):
    if PN[n]==1:return True
    elif PN[n]==0:return False
    else:
        for i in range(2,int(int(n**0.5)+1)):
            if n%i==0:
                PN[n]=0
                return False
        PN[n]=1
        return True


chk=[-1]*(10**5+1)

def YN(n):
    if chk[n]==1:return True
    elif chk[n]==0:return False
    else:
        if PN_chk(n)==True and PN_chk((n+1)//2)==True:
            chk[n]=1
            return True
        else:
            chk[n]=0
            return False

for i in range(Q):
    ans=0
    l,r=map(int,input().split())
    for j in range(l,r+1,2):
        if YN(j):ans+=1
    print(ans)




Fixed submission:
import bisect

def PN(N):
    for i in range(2,int(N**0.5)+1):
        if N%i==0:
            return False
    return True

N=[3]
for i in range(5,100001,2):
    if PN(i) and PN((i+1)//2):
        N.append(i)

Q=int(input())

for i in range(Q):
    l,r=map(int,input().split())
    ln1=bisect.bisect_left(N,l)
    ln2=bisect.bisect_right(N,l)
    rn1=bisect.bisect_left(N,r)
    rn2=bisect.bisect_right(N,r)
    if ln1==ln2 and rn1==rn2:
        print(rn1-ln1)
    elif ln1==ln2 or rn1==rn2:
        print(rn1-ln2+1)
    else:
        print(rn1-ln2+2)

Buggy python submission (verdict: Time Limit Exceeded):
Q=int(input())

PN=[True]*(10**5+1)
PN[0]=False
PN[1]=False

for i in range(2,int(int(10**5)**0.5+1)):
    if PN[i]==True:
        cnt=2
        while i*cnt<10**5+1:
            PN[i*cnt]=False
            cnt+=1

chk=[-1]*(10**5+1)

def YN(n):
    if chk[n]==1:return True
    elif chk[n]==0:return False
    else:
        if PN[n]==True and PN[(n+1)//2]==True:
            chk[n]=1
            return True
        else:
            chk[n]=0
            return False

for i in range(Q):
    ans=0
    l,r=map(int,input().split())
    for j in range(l,r+1,2):
        if YN(j):ans+=1
    print(ans)




Fixed submission:
import bisect

def PN(N):
    for i in range(2,int(N**0.5)+1):
        if N%i==0:
            return False
    return True

N=[3]
for i in range(5,100001,2):
    if PN(i) and PN((i+1)//2):
        N.append(i)

Q=int(input())

for i in range(Q):
    l,r=map(int,input().split())
    ln1=bisect.bisect_left(N,l)
    ln2=bisect.bisect_right(N,l)
    rn1=bisect.bisect_left(N,r)
    rn2=bisect.bisect_right(N,r)
    if ln1==ln2 and rn1==rn2:
        print(rn1-ln1)
    elif ln1==ln2 or rn1==rn2:
        print(rn1-ln2+1)
    else:
        print(rn1-ln2+2)
Buggy python submission (verdict: Runtime Error):
import collections

N=int(input())

a_dict=collections.Counter(a)
a=list(a_dict.items())

L=len(a)

ans=0
for i,n in a_dict.items():
    if i>n:
        ans+=n
    elif i<n:
        ans+=n-i

print(ans)

Fixed submission:
import collections

N=int(input())
a=list(map(int,input().split()))

a_dict=collections.Counter(a)

ans=0
for i,n in a_dict.items():
    if i>n:
        ans+=n
    elif i<n:
        ans+=n-i

print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())
L = [0] * (N + 1)
L[0] = 2
L[1] = 1

if N ==1:
    print(L[1])
for i in range(2, N + 1):
    L[i] = L[i - 2] + L[i - 1]

print(L[i])

Fixed submission:
N = int(input())
L = [0] * (N + 1)
L[0] = 2
L[1] = 1

if N ==1:
    print(L[1])
    exit()
for i in range(2, N + 1):
    L[i] = L[i - 2] + L[i - 1]

print(L[i])

Buggy python submission (verdict: Runtime Error):
N = int(input())
L = [0] * (N + 1)
L[0] = 2
L[1] = 1

for i in range(2, N + 1):
    L[i] = L[i - 2] + L[i - 1]

print(L[i])


Fixed submission:
N = int(input())
L = [0] * (N + 1)
L[0] = 2
L[1] = 1

if N ==1:
    print(L[1])
    exit()
for i in range(2, N + 1):
    L[i] = L[i - 2] + L[i - 1]

print(L[i])
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=list(map(int,input().split()))
B=list(map(int,input().split()))
C=list(map(int,input().split()))

A.sort(reverse=True)
B.sort(reverse=True)
C.sort(reverse=True)


BO=[0]*N
AO=[0]*N

cntb=0
cntc=0

while True:
    if cntb>=N or cntc>=N:break
    if B[cntb]>=C[cntc]:
        BO[cntb]=cntc
        cntb+=1
    else:
        cntc+=1

if cntb==0:
    BO[0]=N
    cntb=1

for i in range(cntb,N):
    BO[i]=cntc

cnta=0
cntb=0
temp = 0
while True:
    if cnta>=N or cntb>=N:break

    if A[cnta]>=B[cntb]:
        AO[cnta]=cntb
        cnta+=1
    else:
        cntb+=1

if cnta==0:
    AO[0]=N
    cnta=1

for i in range(cnta,N):
    AO[i]=cntb

ans=[0]*N

for i in range(N):
    ans[i]=sum(BO[:AO[i]])
print(sum(ans))





Fixed submission:
from bisect import bisect_left
from bisect import bisect_right

N=int(input())

A=list(map(int,input().split()))
B=list(map(int,input().split()))
C=list(map(int,input().split()))

A.sort()
B.sort()
C.sort()

ans=0
for i in range(N):
    idxa=bisect_left(A,B[i])
    idxc=bisect_right(C,B[i])
    ans+=idxa*(N-idxc)

print(ans)

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

N=int(input())
A=list(map(int,input().split()))
B=list(map(int,input().split()))
C=list(map(int,input().split()))
A_dict=collections.Counter(A)
B_dict=collections.Counter(B)
C_dict=collections.Counter(C)

A_sorted=sorted(A_dict)
B_sorted=sorted(B_dict)
C_sorted=sorted(C_dict)

C_sum=len(C)
C_num=[]

for i in B_sorted:
    C_sum=len(C)
    for j in C_sorted:
        if j<=i:
            C_sum-=C_dict[j]

    C_num.append(C_sum)

ans=0

for i in A_sorted:
    c=0
    for j in B_sorted:
        if i<j:
            ans += A_dict[i] * B_dict[j] * C_num[c]
        c+=1

print(ans)


Fixed submission:
from bisect import bisect_left
from bisect import bisect_right

N=int(input())

A=list(map(int,input().split()))
B=list(map(int,input().split()))
C=list(map(int,input().split()))

A.sort()
B.sort()
C.sort()

ans=0
for i in range(N):
    idxa=bisect_left(A,B[i])
    idxc=bisect_right(C,B[i])
    ans+=idxa*(N-idxc)

print(ans)

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

N=int(input())
A=list(map(int,input().split()))
B=list(map(int,input().split()))
C=list(map(int,input().split()))
A_dict=collections.Counter(A)
B_dict=collections.Counter(B)
C_dict=collections.Counter(C)

A_sorted=sorted(A_dict)
B_sorted=sorted(B_dict)
C_sorted=sorted(C_dict)

B_sum=len(B)
C_sum=len(C)

ans=0

for i in A_sorted:
    for j in B_sorted:
        C_num = C_sum
        if i < j:
            for k in C_sorted:
                if k <= j:
                    C_num -= C_dict[k]
                else:
                    break

            ans += A_dict[i] * B_dict[j] * C_num

print(ans)

Fixed submission:
from bisect import bisect_left
from bisect import bisect_right

N=int(input())

A=list(map(int,input().split()))
B=list(map(int,input().split()))
C=list(map(int,input().split()))

A.sort()
B.sort()
C.sort()

ans=0
for i in range(N):
    idxa=bisect_left(A,B[i])
    idxc=bisect_right(C,B[i])
    ans+=idxa*(N-idxc)

print(ans)
Buggy python submission (verdict: Runtime Error):
N,M=map(int,input().split())

graph=[[False]*N for i in range(N)]
visited=[False]*N
a=[0]*N
b=[0]*N

for i in range(M):
    a[i],b[i]=map(int,input().split())
    a[i]-=1
    b[i]-=1
    graph[a[i]][b[i]]=True
    graph[b[i]][a[i]]=True


def dfs(v):
    visited[v]=True
    for v2 in range(N):
        if graph[v][v2]==False:continue
        if visited[v2]==True:continue
        dfs(v2)

ans=0
for i in range(M):
    graph[a[i]][b[i]]=False
    graph[b[i]][a[i]]=False
    for j in range(N):
        visited[j]=False
    dfs(0)
    bridge=False
    for j in range(N):
        if visited[j]==False:
            bridge=True
    if bridge==True:
        ans+=1
    graph[a[i]][b[i]] = True
    graph[b[i]][a[i]] = True

print(ans)

Fixed submission:
N,M=map(int,input().split())

C=[[] for i in range(N)]

for i in range(M):
    a,b=map(int,input().split())
    C[a-1].append(b-1)
    C[b-1].append(a-1)

cnt=0
f=True
while f:
    f=False
    for i in range(N):
        if len(C[i])==1:
            cnt+=1
            idx=C[C[i][0]].index(i)
            C[C[i][0]].pop(idx)
            C[i].pop()
            f=True
print(cnt)
Buggy python submission (verdict: Runtime Error):
A,B,C,D,E,F =map(int,input().split())

amax = F//(100*A)
bmax = F//(100*B)
cmax = F//C
dmax = F//D
concmx =0

for a in range(amax,-1,-1):
    for b in range(bmax,-1,-1):
        cmax = (F-100*A*a-100*B*b)//C
        dmax = (F-100*A*a-100*B*b)//D
        for c in range(cmax,-1,-1):
            for d in range(dmax,-1,-1):
                sugar =C*c+D*d
                whole = 100*A*a+100*B*b+sugar
                if whole ==0:
                    break
                elif sugar/whole <= E/(100+E) and whole <=F:
                    if sugar/whole > concmx:
                        concmx =sugar/whole
                        sugarmx = sugar
                        wholemx =whole
                    
                   
print(str(wholemx)+" "+str(sugarmx))
                    

Fixed submission:
A,B,C,D,E,F =map(int,input().split())

amax = F//(100*A)
bmax = F//(100*B)

concmx =0
wholemx =0
sugarmx =0

for a in range(amax,-1,-1):
    for b in range(bmax,-1,-1):
        cmax = (F-100*A*a-100*B*b)//C
        dmax = (F-100*A*a-100*B*b)//D
        for c in range(cmax,-1,-1):
            for d in range(dmax,-1,-1):
                sugar =C*c+D*d
                whole = 100*A*a+100*B*b+sugar
                if whole ==0:
                    break
                elif sugar/whole <= E/(100+E) and whole <=F:
                    if sugar/whole >= concmx:
                        concmx =sugar/whole
                        sugarmx = sugar
                        wholemx =whole
                    
                   
print(str(wholemx)+" "+str(sugarmx))
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
p = []

for i in range(N):
    a = int(input())
    if not a in p:
        p.append(a)
    else:
        p.remove(a)

print(len(p))


Fixed submission:
N = int(input())
p = []

for i in range(N):
    p.append(input())

p.sort()
c = 1
ans = 0
for i in range(1, len(p)):
    if p[i] == p[i - 1]:
        c += 1
    else:
        if c % 2 == 1:
            ans += 1
        c = 1
if c % 2 == 1:
    ans += 1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
a = list(map(int,input().split()))
x =[0]*(10**5+1)
a_set =  set(a)
a_list = list(a_set)

a_list.sort()
ans = 0
temp = 0
x[a_list[0]-1]=0

for i in a_list:
    x[i]=a.count(i)
    if i+1 in a_list:
        temp = x[i-1]+x[i]+a.count(i+1)
    else:
        temp = x[i-1]+x[i]

    if temp>ans:
        ans = temp

print(ans)
    

Fixed submission:
N = int(input())
a = list(map(int,input().split()))
c =[0]*(10**5+2)


for i in a:
    c[i-1] +=1
    c[i] +=1
    c[i+1] +=1

print(max(c))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
a = list(map(int,input().split()))
x =[0]*(10**5+1)
a_set =  set(a)
a_list = list(a_set)

a_list.sort()

for i in a_list:
    x[i]=a.count(i)

ans = 0

mi = min(a_list)
mx = max(a_list)

for i in a_list:
    temp = x[i-1]+x[i]+x[i+1]
    if temp>ans:
        ans = temp

print(ans)
    


Fixed submission:
N = int(input())
a = list(map(int,input().split()))
c =[0]*(10**5+2)


for i in a:
    c[i-1] +=1
    c[i] +=1
    c[i+1] +=1

print(max(c))
Buggy python submission (verdict: Runtime Error):
N=int(input())

R=[[] for i in range(N)]

for i in range(N-1):
    a,b,c=map(int,input().split())
    R[a-1].append([b-1,c])
    R[b-1].append([a-1,c])

Q,K=map(int,input().split())
C=[0]*N
stack=[]
for i in range(N):
    if i==K-1:
        C[i]=0
    else:
        chk = [0] * N
        stack=[[K-1,i,0]]
        f=True
        while stack:
            if f==False:
                break
            s,g,d=stack.pop()
            chk[s]=1
            for j,c in R[s]:
                if chk[j]==1:continue
                if j==g:
                    C[i]=d+c
                    f=False
                    break
                else:
                    stack.append([j,g,d+c])

for i in range(Q):
    x,y=map(int,input().split())
    print(C[x-1]+C[y-1])



Fixed submission:
N = list(input())
if N[0]==N[2]:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
N=int(input())

R=[[] for i in range(N)]

for i in range(N-1):
    a,b,c=map(int,input().split())
    R[a-1].append([b-1,c])
    R[b-1].append([a-1,c])

Q,K=map(int,input().split())
C=[0]*N
stack=[]
for i in range(N):
    if i==K-1:
        C[i]=0
    else:
        chk = [0] * N
        stack=[[K-1,i,0]]
        f=True
        while stack:
            if f==False:
                break
            s,g,d=stack.pop()
            chk[s]=1
            for j,c in R[s]:
                if chk[j]==1:continue
                if j==g:
                    C[i]=d+c
                    f=False
                    break
                else:
                    stack.append([j,g,d+c])

for i in range(Q):
    x,y=map(int,input().split())
    print(C[x-1]+C[y-1])



Fixed submission:
N = list(input())
if N[0]==N[2]:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
from fractions import gcd

N=int(input())
T0=int(input())
for i in range(1,N):
    T=int(input())
    g=gcd(T0,T)
    ans=T0*(T)//g
    T0=ans
print(ans)

Fixed submission:
import fractions

N=int(input())
T0=int(input())

if N==1:
  print(T0)
  exit()

for i in range(1,N):
    T=int(input())
    g=fractions.gcd(T0,T)
    ans=T0*T//g
    T0=ans
print(ans)

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

N=int(input())
T0=int(input())
for i in range(1,N):
    T=int(input())
    g=fractions.gcd(T0,T)
    ans=T0*(T//g)
    T0=ans
print(ans)

Fixed submission:
import fractions

N=int(input())
T0=int(input())

if N==1:
  print(T0)
  exit()

for i in range(1,N):
    T=int(input())
    g=fractions.gcd(T0,T)
    ans=T0*T//g
    T0=ans
print(ans)

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

N=int(input())
T0=int(input())
for i in range(1,N):
    T=int(input())
    ans=T0*(T//fractions.gcd(T0,T))
    T0=ans
print(ans)

Fixed submission:
import fractions

N=int(input())
T0=int(input())

if N==1:
  print(T0)
  exit()

for i in range(1,N):
    T=int(input())
    g=fractions.gcd(T0,T)
    ans=T0*T//g
    T0=ans
print(ans)

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

N=int(input())
T0=int(input())
for i in range(1,N):
    T=int(input())
    ans=(T0*T)//fractions.gcd(T0,T)
    T0=ans
print(ans)

Fixed submission:
import fractions

N=int(input())
T0=int(input())

if N==1:
  print(T0)
  exit()

for i in range(1,N):
    T=int(input())
    g=fractions.gcd(T0,T)
    ans=T0*T//g
    T0=ans
print(ans)

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

N=int(input())
T0=int(input())
for i in range(1,N):
    T=int(input())
    ans=(T0*T)//fractions.gcd(T0,T)
    T0=T
print(ans)

Fixed submission:
import fractions

N=int(input())
T0=int(input())

if N==1:
  print(T0)
  exit()

for i in range(1,N):
    T=int(input())
    g=fractions.gcd(T0,T)
    ans=T0*T//g
    T0=ans
print(ans)

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

N=int(input())
T0=int(input())
for i in range(1,N):
    T=int(input())
    ans=T0*T//fractions.gcd(T0,T)
    T0=T
print(ans)

Fixed submission:
import fractions

N=int(input())
T0=int(input())

if N==1:
  print(T0)
  exit()

for i in range(1,N):
    T=int(input())
    g=fractions.gcd(T0,T)
    ans=T0*T//g
    T0=ans
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())
C1 = []
C2 = []

for i in range(M):
    a, b = map(int, input().split())
    if a == 1:
        C1.append(b)
    if b == N:
        C2.append(a)

for i in C1:
    if i in C2:
        print("POSSIBLE")
        exit()

print("IMPOSSIBLE")


Fixed submission:
N, M = map(int, input().split())
C1 = [0]*(N+1)
C2 = [0]*(N+1)

for i in range(M):
    a, b = map(int, input().split())
    if a == 1:
        C1[b] +=1
    if b == N:
        C2[a] +=1

for i in range(1,N+1):
    if C1[i]==1 and C2[i]==1:
        print("POSSIBLE")
        exit()

print("IMPOSSIBLE")
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(input().split())
b=[]

if n%2!=0:
    for i in range(n):
        if i%2==0:
            b.insert(0,a[i])
        else:
            b.append(a[i])
else:
    for i in range(n):
        if i%2!=0:
            b.insert(0,a[i])
        else:
            b.append(a[i])
print(" ".join(b))
#TLE


Fixed submission:
n=int(input())
a=list(input().split())
b1=[]
b2=[]
if n%2==0:
    for i in range(n):
        if i%2!=0:
            b1.append(a[n-i])
        else:
            b2.append(a[i])
else:
    for i in range(n):
        if i%2==0:
            b1.append(a[n-1-i])
        else:
            b2.append(a[i])

b1.extend(b2)

print(" ".join(b1))
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
a=[int(input())-1 for i in range(N)]

i=0
cnt=1
while a[i]!=0:
    if a[i]==1:
        print(cnt)
        exit()
    if a[i]==i:
        print(-1)
        exit()
    cnt+=1
    i=a[i]
print(-1)


Fixed submission:
N = int(input())

a =[0]

for i in range(N):
    a.append(int(input()))


f =[0]*(N+1)

i=1
c = 0
while f[i]==0:
    f[i]=1
    i = a[i]
    c +=1
    if i ==2:
        break
if f[i]==1:
    print(-1)
else:
    print(c)

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
a=[int(input())-1 for i in range(N)]

i=0
cnt=1
while a[i]!=0:
    if a[i]==1:
        print(cnt)
        exit()
    cnt+=1
    i=a[i]
print(-1)


Fixed submission:
N = int(input())

a =[0]

for i in range(N):
    a.append(int(input()))


f =[0]*(N+1)

i=1
c = 0
while f[i]==0:
    f[i]=1
    i = a[i]
    c +=1
    if i ==2:
        break
if f[i]==1:
    print(-1)
else:
    print(c)

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
a=[0]
for i in range(N):
    a.append(int(input()))

i=1
cnt=1
while a[i]!=1:
    if a[i]==2:
        print(cnt)
        exit()
    cnt+=1
    i=a[i]
print(-1)


Fixed submission:
N = int(input())

a =[0]

for i in range(N):
    a.append(int(input()))


f =[0]*(N+1)

i=1
c = 0
while f[i]==0:
    f[i]=1
    i = a[i]
    c +=1
    if i ==2:
        break
if f[i]==1:
    print(-1)
else:
    print(c)
Buggy python submission (verdict: Runtime Error):
N = int(input())

A = list(map(int, input().split()))

C = [0] * 9

for i in range(N):
    if 1 <= A[i] <= 399:
        C[0] += 1
    elif 400 <= A[i] <= 799:
        C[1] += 1
    elif 800 <= A[i] <= 1199:
        C[2] += 1
    elif 1200 <= A[i] <= 1599:
        C[3] += 1
    elif 1600 <= A[i] <= 1999:
        C[4] += 1
    elif 2000 <= A[i] <= 2399:
        C[5] += 1
    elif 2400 <= A[i] <= 2799:
        C[6] += 1
    elif 2800 <= A[i] <= 3199:
        C[7] += 1
    else:
        C[8] += 1

blank = C[0:8].count(0)

if blank == 0:
    print("8 8")
    exit()

if C[8] == 0:
    ans = str(8 - blank)
    print(ans + " " + ans)
    exit()
elif C[8] >= 8:
    ans = str(max(8 - blank, 1))
    print(ans + " " + 8)
elif 1 <= C[8] <= 7:
    ans = str(8 - blank)
    ans2 = str(min(8, 8 - blank + C[8]))
    print(ans + " " + ans2)


Fixed submission:
N = int(input())

A = list(map(int, input().split()))

C = [0] * 9

for i in range(N):
    if 1 <= A[i] <= 399:
        C[0] = 1
    elif 400 <= A[i] <= 799:
        C[1] = 1
    elif 800 <= A[i] <= 1199:
        C[2] = 1
    elif 1200 <= A[i] <= 1599:
        C[3] = 1
    elif 1600 <= A[i] <= 1999:
        C[4] = 1
    elif 2000 <= A[i] <= 2399:
        C[5] = 1
    elif 2400 <= A[i] <= 2799:
        C[6] = 1
    elif 2800 <= A[i] <= 3199:
        C[7] = 1
    else:
        C[8] += 1

num = sum(C[0:8])

ans1 = str(max(num, 1))
ans2 = str( num + C[8])
print(ans1 + " " + ans2)
Buggy python submission (verdict: Runtime Error):
N=int(input())
S=input()

temp=list(S)
f=True

while f:
    f=False
    L=len(temp)
    for i in range(L-2,-1,-1):
        if  "".join(temp[i:i+2])=="()":
            temp.pop(i+1)
            temp.pop(i)
            f=True

Ltemp=len(temp)
if temp[0]=="(":
    add=")"*len(temp)
    ans=S+add
else:
    cnt1=0
    cnt2=0
    for i in range(Ltemp):
        if temp[i]==")":
            cnt1+=1
        else:
            cnt2+=1
        add1="("*cnt1
        add2=")"*cnt2
    ans=add1+S+add2


print(ans)

Fixed submission:
N=int(input())
S=input()

temp=list(S)
f=True

while f :
    f=False
    L=len(temp)
    for i in range(L-2,-1,-1):
        if  "".join(temp[i:i+2])=="()":
            temp.pop(i+1)
            temp.pop(i)
            f=True

Ltemp=len(temp)
if Ltemp==0:
    print(S)
    exit()
    
if temp[0]=="(":
    add=")"*len(temp)
    ans=S+add
else:
    cnt1=0
    cnt2=0
    for i in range(Ltemp):
        if temp[i]==")":
            cnt1+=1
        else:
            cnt2+=1
        add1="("*cnt1
        add2=")"*cnt2
    ans=add1+S+add2


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

T.sort()
i = 0
ans = 0

while i < N:
    t = T[i]
    x = T.count(T[i])
    ans = ans + (x-1+C)//C
    for j in range(i+((x-1+C)//C)*C-1,N):
        if T[j]>t+K:
            y = j-i
            break
        y = N-i
            
    y=min(C,y)
    i = i + y 

print(ans)

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

if N ==1 or N ==2:
    print(1)
    exit()
t = 0
c =1
for i in range(1,N):

    if A[i]-A[i-1]>0:
        if t == -1:
            c +=1
            t = 0
        else:
            t = 1
    elif A[i]-A[i-1]<0:
        if t == 1:
            c +=1
            t = 0
        else:
            t = -1    
print(c)

Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int,input().split()))

c = 0
i =2

if N ==1 or N ==2:
    print(1)
    exit()
while i<N+1:
    if (A[i-1]-A[i-2])*(A[i]-A[i-1])<0:
        c=c+1
        i = i+1
    i = i+1
print(c+1)

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

if N ==1 or N ==2:
    print(1)
    exit()
t = 0
c =1
for i in range(1,N):

    if A[i]-A[i-1]>0:
        if t == -1:
            c +=1
            t = 0
        else:
            t = 1
    elif A[i]-A[i-1]<0:
        if t == 1:
            c +=1
            t = 0
        else:
            t = -1    
print(c)