Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
n=int(input())
A=sorted(map(int,input().split()))
L=[A[0]]
if n==0:
    print(0)
else:
    c=0
    if A[0]!=A[1]:
        c=1
    for i in range(n-1):
        flag=0
        for l in L:
            if A[i+1]%l==0:
                flag=1
                break
            if l>=int(A[i+1]**0.5+1):
                break
        if flag==0:
            L.append(A[i+1])
            c+=1
    print(c)

Fixed submission:
from collections import defaultdict
n=int(input())
A=sorted((map(int,input().split())))
maxA=max(A)
L=[0]*(maxA+1)
AD=defaultdict(int)
for a in A:
	L[a]=1
	AD[a]+=1
for a in A:
	if AD[a]>=2:
		L[a]=0
	for i in range(2*a,maxA+1,a):
		L[i]=0
print(sum(L))

Buggy python submission (verdict: Runtime Error):
n=int(input())
A=sorted(map(int,input().split()))
L=[A[0]]
if n==0:
    print(0)
else:
    c=0
    if A[0]!=A[1]:
        c=1
    for i in range(n-1):
        flag=0
        for l in L:
            if A[i+1]%l==0:
                flag=1
                break

        if flag==0:
            L.append(A[i+1])
            c+=1
    print(c)

Fixed submission:
from collections import defaultdict
n=int(input())
A=sorted((map(int,input().split())))
maxA=max(A)
L=[0]*(maxA+1)
AD=defaultdict(int)
for a in A:
	L[a]=1
	AD[a]+=1
for a in A:
	if AD[a]>=2:
		L[a]=0
	for i in range(2*a,maxA+1,a):
		L[i]=0
print(sum(L))

Buggy python submission (verdict: Runtime Error):
n=int(input())
A=sorted(map(int,input().split()))
L=[A[0]]

c=0
if A[0]!=A[1]:
    c=1
for i in range(n-1):
    flag=0
    for l in L:
        if A[i+1]%l==0:
            flag=1
            break
    if flag==0:
        L.append(A[i+1])
        c+=1
print(c)

Fixed submission:
from collections import defaultdict
n=int(input())
A=sorted((map(int,input().split())))
maxA=max(A)
L=[0]*(maxA+1)
AD=defaultdict(int)
for a in A:
	L[a]=1
	AD[a]+=1
for a in A:
	if AD[a]>=2:
		L[a]=0
	for i in range(2*a,maxA+1,a):
		L[i]=0
print(sum(L))

Buggy python submission (verdict: Runtime Error):
n=int(input())
A=sorted(map(int,input().split()))
L=[A[0]]

c=0
if A[0]!=A[1]:
    c=1
for i in range(n-1):
    flag=0
    for l in L:
        if A[i+1]%l==0:
            flag=1
            break
    L.append(A[i+1])
    if flag==0:
        c+=1
print(c)

Fixed submission:
from collections import defaultdict
n=int(input())
A=sorted((map(int,input().split())))
maxA=max(A)
L=[0]*(maxA+1)
AD=defaultdict(int)
for a in A:
	L[a]=1
	AD[a]+=1
for a in A:
	if AD[a]>=2:
		L[a]=0
	for i in range(2*a,maxA+1,a):
		L[i]=0
print(sum(L))
Buggy python submission (verdict: Runtime Error):
from collections import deque

n,m=map(int,input().split())
L=[[] for i in range(n)]
for i in range(m):
	L[a-1].append(b-1)
	L[b-1].append(a-1)
D=[float('inf') for i in range(n)]

def bfs():
	que=deque([])
	que.append(0)
	D[p]=0
	while que:
		p=que.popleft()
		for np in L[p]:
			if D[np]==float('inf'):
				que.append(np)
				D[np]=p

bfs()

if sum(D)==float('inf'):
	print('No')
else:
	print('Yes')
	for i in range(1,n):
		print(D[i])

Fixed submission:
from collections import deque

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

#print(L)

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

#print(L)
d=[float('inf') for i in range(n)]
m=[0 for i in range(n)]

def bfs():

    que=deque([])
    que.append(0)
    d[0]=0
    
    while que:
        p=que.popleft()
        for np in L[p]:
            if d[np]==float('inf'):
                que.append(np)
                d[np]=d[p]+1
                m[np]=p+1

bfs()
if sum(d)==float('inf'):
    print('No')
else:
    print('Yes')
    for i in range(1,n):
        print(m[i])
Buggy python submission (verdict: Runtime Error):
if a>=k:
    print(k)
elif a<k<=a+b:
    print(a)
else:
    print(a-(k-a-b))

Fixed submission:
a,b,c,k=map(int,input().split())
if a>=k:
    print(k)
elif a<k<=a+b:
    print(a)
else:
    print(a-(k-a-b))
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
A=list(map(int,input().split()))
c=0
for i in range(n-1):
    for j in range(i+1,n):
        if A[i]+A[j]==j-i:
            c+=1
print(c)

Fixed submission:
#j-i=Ai+Aj Ai+i=-Aj+j
#Li=Ai+i
#Ri=-Ai+i
#とおくと、Li=Rjとなるとき、Aiが正なので、必ずi<jとなる
from collections import defaultdict

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

L=defaultdict(int)
R=defaultdict(int)

for i in range(n):
	L[A[i]+i+1]+=1
	R[-A[i]+i+1]+=1

r=0
for k,v in L.items():
	j=R[k]
	r+=v*j

print(r)
Buggy python submission (verdict: Runtime Error):
n=int(input())
S=input()
R=[]
G=[]
B=[]
for i in range(n):
    if S[i]=='R':
        R.append(i+1)
    elif S[i]=='G':
        G.append(i+1)
    else:
        B.append(i+1)
r=len(R)
g=len(G)
b=len(B)

c=0
for i in G:
    for j in B:
        min_n=min(i,j)
        max_n=max(i,j)
        d=abs(i-j)
        if max_n+d in R:
            c+=1
        if (i+j)%2==0 and (i+j)//2 in R:
            c+=1
        if min_n-d in R:
            c+=1

print(r*g*b-c)

Fixed submission:
S=input()
for s in S:
    if s=='7':
        print('Yes')
        exit()
print('No')
Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
n,x,y=map(int,input().split())

L=[[0]*n for i in range(n)]
for i in range(n-1):
	L[i][i+1]=L[i+1][i]=1
L[x-1][y-1]=L[y-1][x-1]=1

R=[0]*n

def bfs(j):
	V=[-1]*n
	que=deque([])
	que.append(j)
	V[j]=0
	while que:
		p=que.popleft()
		for i in range(n):
			if V[i]==-1 and L[p][i]==1:
				que.append(i)
				V[i]=V[p]+1
	for i in range(n):
		R[V[i]]+=1
	
for j in range(n):
	bfs(j)
for i in range(1,n):
	print(R[i]//2)

Fixed submission:
from collections import deque
n,x,y=map(int,input().split())

L=[[1]]
for i in range(1,n-1):
	L.append([i-1,i+1])
L.append([n-2])
L[x-1].append(y-1)
L[y-1].append(x-1)

R=[0]*n

def bfs(j):
	V=[-1]*n
	que=deque([])
	que.append(j)
	V[j]=0
	while que:
		p=que.popleft()
		for np in L[p]:
			if V[np]==-1:
				que.append(np)
				V[np]=V[p]+1
	for i in range(n):
		R[V[i]]+=1
	
for j in range(n):
	bfs(j)
for i in range(1,n):
	print(R[i]//2)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
n,x,y=map(int,input().split())

L=[[0]*n for i in range(n)]
for i in range(n-1):
	L[i][i+1]=L[i+1][i]=1
L[x-1][y-1]=L[y-1][x-1]=1

R=[0]*n

def bfs(j):
	V=[-1]*n
	que=deque([])
	que.append(j)
	V[j]=0
	while que:
		p=que.popleft()
		for i in range(n):
			if V[i]==-1 and L[p][i]==1:
				que.append(i)
				V[i]=V[p]+1
	for i in range(n):
		R[V[i]]+=1
	
for j in range(n):
	bfs(j)
for i in range(1,n):
	print(R[i]//2)

Fixed submission:
from collections import deque
n,x,y=map(int,input().split())

L=[[1]]
for i in range(1,n-1):
	L.append([i-1,i+1])
L.append([n-2])
L[x-1].append(y-1)
L[y-1].append(x-1)

R=[0]*n

def bfs(j):
	V=[-1]*n
	que=deque([])
	que.append(j)
	V[j]=0
	while que:
		p=que.popleft()
		for np in L[p]:
			if V[np]==-1:
				que.append(np)
				V[np]=V[p]+1
	for i in range(n):
		R[V[i]]+=1
	
for j in range(n):
	bfs(j)
for i in range(1,n):
	print(R[i]//2)
Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
import sys
n=int(input())
s=sys.stdin.readlines()
A=list(map(int,s[0].split()))
C=Counter(A)
        
for i in range(n):
    D=C.copy()
    D[A[i]]-=1
    r=0
    for v in D.values():
        r+=v*(v-1)//2
    print(r)

Fixed submission:
from collections import Counter
import sys
n=int(input())
s=sys.stdin.readlines()
A=list(map(int,s[0].split()))
C=Counter(A)
R=0
for v in C.values():
    R+=v*(v-1)//2
for i in range(n):
    r=C[A[i]]
    X=R
    if r>=2:
        x=((r-1)*(r-2)//2-(r)*(r-1)//2)
        X+=x
    print(X)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
n=int(input())
A=list(map(int,input().split()))
C=Counter(A)
for i in range(n):
    D=C.copy()
    D[A[i]]-=1
    r=0
    for v in D.values():
        if v>=2:
            r+=v*(v-1)//2
    print(r)

Fixed submission:
from collections import Counter
import sys
n=int(input())
s=sys.stdin.readlines()
A=list(map(int,s[0].split()))
C=Counter(A)
R=0
for v in C.values():
    R+=v*(v-1)//2
for i in range(n):
    r=C[A[i]]
    X=R
    if r>=2:
        x=((r-1)*(r-2)//2-(r)*(r-1)//2)
        X+=x
    print(X)
Buggy python submission (verdict: Runtime Error):
s=input()
if s=='hi' or s=='hihi' or s='hihihi' or s=='hihihihi' or s=='hihihihihi':
	print('Yes')
else:
	print('No')

Fixed submission:
s=input()
if s=='hi' or s=='hihi' or s=='hihihi' or s=='hihihihi' or s=='hihihihihi':
	print('Yes')
else:
	print('No')
Buggy python submission (verdict: Runtime Error):
n,m=map(int,input().split())
L=[10]*n
for i in range(m):
	s,c=map(int,input().split())
	if L[s-1]==10 or L[s-1]==c:
		L[s-1]=c
	else:
		print('-1')
		exit()
if n==1:
	if L[0]==10:
		print(0)
		exit()
	else:
		print(L[0])
		exit()
else:
	if L[0]==10:
		L[0]=1
	elif L[0]==0:
		print('-1')
		exit()
	else:
		for i in range(1,n):
			if L[i]==10:
				L[i]=0
	print(''.join(map(str,L)))

Fixed submission:
n=int(input())
print((n+2-1)//2)
Buggy python submission (verdict: Time Limit Exceeded):
n,a,b=map(int,input().split())
mod=10**9+7

def cmb(n, r, mod):
    if ( r<0 or r>n ):
        return 0
    r = min(r, n-r)
    return g1[n] * g2[r] * g2[n-r] % mod

N = 10**7
g1 = [1, 1] # 元テーブル
g2 = [1, 1] #逆元テーブル
inverse = [0, 1] #逆元テーブル計算用テーブル

for i in range( 2, N + 1 ):
    g1.append( ( g1[-1] * i ) % mod )
    inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
    g2.append( (g2[-1] * inverse[-1]) % mod )

A=cmb(n,a,mod)
B=cmb(n,b,mod)
C=1

for i in range(n):
    C*=2%mod

r=C-1-A-B
print(r)

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

a=min(a,n-a)
b=min(b,n-b)

mod=10**9+7

def modinv(n):
    return pow(n,mod-2,mod)

ra=1
for i in range(a):
    ra*=(n-i)
    ra*=modinv(i+1)
    ra%=mod

rb=1
for i in range(b):
    rb*=(n-i)
    rb*=modinv(i+1)
    rb%=mod
    
r=((2**n-1)%mod-ra-rb)%mod

print(r)
Buggy python submission (verdict: Time Limit Exceeded):
h, n = map(int, input().split())
A = []
B = []
for i in range(n):
    a,b=map(int,input().split())
    A.append(a)
    B.append(b)
inf=float('inf')
dp = [[inf] * (h + 1) for i in range(n + 1)]
dp[0][0]=0
for i in range(n):
    for j in range(h + 1):
        if j < A[i]:
            dp[i + 1][j] = min(dp[i][j], B[i])
        else:
            dp[i + 1][j] = min(dp[i][j], dp[i + 1][j - A[i]] + B[i])
print(dp[n][h])

Fixed submission:
h, n = map(int, input().split())
A = []
B = []
for i in range(n):
    a,b=map(int,input().split())
    A.append(a)
    B.append(b)
inf=float('inf')
dp = [[inf] * (h + 1) for i in range(n + 1)]
dp[0][0]=0
for i in range(n):
    for j in range(h + 1):
        if j < A[i]:
            dp[i + 1][j] = min(dp[i][j], B[i])
        else:
            dp[i + 1][j] = min(dp[i][j], dp[i + 1][j - A[i]] + B[i])
print(dp[n][h])

Buggy python submission (verdict: Runtime Error):
h, n = map(int, input().split())
A = []
B = []
for i in range(n):
    a,b=map(int,input().split())
    A.append(a)
    B.append(b)

inf=float('inf')
dp = [[inf] * (h + max(A)-1) for i in range(n + 1)]
dp[0][0]=0
for i in range(n):
    for j in range(h + max(A)-1):
        if j < A[i]:
            dp[i + 1][j] = dp[i][j]
        else:
            dp[i + 1][j] = min(dp[i][j], dp[i + 1][j - A[i]] + B[i])
print(min(dp[n][h:]))

Fixed submission:
h, n = map(int, input().split())
A = []
B = []
for i in range(n):
    a,b=map(int,input().split())
    A.append(a)
    B.append(b)
inf=float('inf')
dp = [[inf] * (h + 1) for i in range(n + 1)]
dp[0][0]=0
for i in range(n):
    for j in range(h + 1):
        if j < A[i]:
            dp[i + 1][j] = min(dp[i][j], B[i])
        else:
            dp[i + 1][j] = min(dp[i][j], dp[i + 1][j - A[i]] + B[i])
print(dp[n][h])
Buggy python submission (verdict: Time Limit Exceeded):
from fractions import gcd
m=10**9+7
n=int(input())
L=list(map(int,input().split()))
g=L[0]
r=1
for i in range(n-1):
    a=L[i+1]//gcd(g,L[i+1])
    g=(g*L[i+1])//gcd(g,L[i+1])
    r=a*r+g//L[i+1]
print(r%m)

Fixed submission:
from collections import defaultdict

n=int(input())
A=list(map(int,input().split()))
MOD=10**9+7
L=defaultdict(int)

def soinsu(n):
	l=defaultdict(int)
	for j in range(2,int(n**0.5)+1):
		while n%j==0:
			l[j]+=1
			n//=j
	if l=={}:
			l[n]+=1
	else:
		if n!=1:
			l[n]+=1
	for k,v in l.items():
		L[k]=max(L[k],v)

for i in range(n):
	soinsu(A[i])

LM=1
for k,v in L.items():
	LM*=k**v
	LM%=MOD

r=0
for i in range(n):
	r+=LM*pow(A[i],MOD-2,MOD)
	r%=MOD
print(r)

Buggy python submission (verdict: Time Limit Exceeded):
from fractions import gcd
m=10**9+7
n=int(input())
L=list(map(int,input().split()))
g=L[0]
for i in range(n-1):
    g=(g*L[i+1])//gcd(g,L[i+1])
r=0
for i in range(n):
    r+=g//L[i]%m
print(r%m)

Fixed submission:
from collections import defaultdict

n=int(input())
A=list(map(int,input().split()))
MOD=10**9+7
L=defaultdict(int)

def soinsu(n):
	l=defaultdict(int)
	for j in range(2,int(n**0.5)+1):
		while n%j==0:
			l[j]+=1
			n//=j
	if l=={}:
			l[n]+=1
	else:
		if n!=1:
			l[n]+=1
	for k,v in l.items():
		L[k]=max(L[k],v)

for i in range(n):
	soinsu(A[i])

LM=1
for k,v in L.items():
	LM*=k**v
	LM%=MOD

r=0
for i in range(n):
	r+=LM*pow(A[i],MOD-2,MOD)
	r%=MOD
print(r)

Buggy python submission (verdict: Time Limit Exceeded):
from fractions import gcd
m=10**9+7
n=int(input())
L=list(map(int,input().split()))
g=L[0]
for i in range(n-1):
    g=(g*L[i+1])//gcd(g,L[i+1])
r=0
for i in range(n):
    r+=g//L[i]%m
print(r%m)

Fixed submission:
from collections import defaultdict

n=int(input())
A=list(map(int,input().split()))
MOD=10**9+7
L=defaultdict(int)

def soinsu(n):
	l=defaultdict(int)
	for j in range(2,int(n**0.5)+1):
		while n%j==0:
			l[j]+=1
			n//=j
	if l=={}:
			l[n]+=1
	else:
		if n!=1:
			l[n]+=1
	for k,v in l.items():
		L[k]=max(L[k],v)

for i in range(n):
	soinsu(A[i])

LM=1
for k,v in L.items():
	LM*=k**v
	LM%=MOD

r=0
for i in range(n):
	r+=LM*pow(A[i],MOD-2,MOD)
	r%=MOD
print(r)
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
A=list(map(int,input().split()))
MOD=10**9+7
O=[0]*61
Z=[0]*61
for a in A:
	for i in range(61):
		if (1<<i)&a:
			O[i]+=1
		else:
			Z[i]+=1
	
R=0
for i in range(61):
	R+=pow(2,i,MOD)*O[i]%MOD*Z[i]%MOD
	R%=MOD

print(R)

Fixed submission:
n=int(input())
A=list(map(int,input().split()))
MOD=10**9+7
O=[0]*61
Z=[0]*61
for a in A:
	for i in range(61):
		if (1<<i)&a:
			O[i]+=1
		else:
			Z[i]+=1
	
R=0
for i in range(61):
	R+=pow(2,i,MOD)*O[i]%MOD*Z[i]%MOD
	R%=MOD

print(R)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
A=list(map(int,input().split()))
MOD=10**9+7
O=[0]*61
Z=[0]*61
for a in A:
	for i in range(61):
		if (1<<i)&a:
			O[i]+=1
		else:
			Z[i]+=1

L=[0]*61
for i in range(61):
	L[i]=O[i]*Z[i]
	
R=0
for i in range(61):
	R+=pow(2,i,MOD)*L[i]
	R%=MOD
print(R)

Fixed submission:
n=int(input())
A=list(map(int,input().split()))
MOD=10**9+7
O=[0]*61
Z=[0]*61
for a in A:
	for i in range(61):
		if (1<<i)&a:
			O[i]+=1
		else:
			Z[i]+=1
	
R=0
for i in range(61):
	R+=pow(2,i,MOD)*O[i]%MOD*Z[i]%MOD
	R%=MOD

print(R)
Buggy python submission (verdict: Time Limit Exceeded):
n,m=map(int,input().split())
A=list(map(int,input().split()))
for i in range(m):
    a=max(A)
    y=A.index(max(A))
    A[y]=a//2
print(sum(A))


Fixed submission:
from heapq import heappop, heappush
n,m=map(int,input().split())
A=list(map(int,input().split()))
B=sorted(map(lambda x: x * -1, A))
for i in range(m):
    a=heappop(B)
    a=-(-a//2)
    heappush(B,a)
print(-sum(B))

Buggy python submission (verdict: Time Limit Exceeded):
n,m=map(int,input().split())
A=list(map(int,input().split()))
for i in range(m):
    a=max(A)
    y=A.index(max(A))
    A[y]=a//2
print(sum(A))

Fixed submission:
from heapq import heappop, heappush
n,m=map(int,input().split())
A=list(map(int,input().split()))
B=sorted(map(lambda x: x * -1, A))
for i in range(m):
    a=heappop(B)
    a=-(-a//2)
    heappush(B,a)
print(-sum(B))

Buggy python submission (verdict: Time Limit Exceeded):
n,m=map(int,input().split())
A=list(map(int,input().split()))
for i in range(m):
    A.sort()
    A[-1]//=2
print(sum(A))

Fixed submission:
from heapq import heappop, heappush
n,m=map(int,input().split())
A=list(map(int,input().split()))
B=sorted(map(lambda x: x * -1, A))
for i in range(m):
    a=heappop(B)
    a=-(-a//2)
    heappush(B,a)
print(-sum(B))
Buggy python submission (verdict: Runtime Error):
n,k=map(int,input().split())
S=input()
O=[]
E=[]
flag=0
if n==1:
	print(0)
else:
	c=0
	for i in range(n-1):
		if S[i+1]==S[i]:
			c+=1
		else:
			if flag==0:
				O.append(c)
				c=0
				flag=1
			else:
				E.append(c)
				c=0
				flag=0
	if flag==0:
		O.append(c)
	else:
		E.append(c)
	Osum=sum(O)
	Esum=sum(E)		
	EC=len(E)
if flag==0:
	print(Osum+Esum+min(EC,k)*2)
else:
	print(Osum+Esum+min(2*EC-1,2*k))

Fixed submission:
n,k=map(int,input().split())
S=input()
O=[]
E=[]
flag=0
if n==1:
	print(0)
else:
	c=0
	for i in range(n-1):
		if S[i+1]==S[i]:
			c+=1
		else:
			if flag==0:
				O.append(c)
				c=0
				flag=1
			else:
				E.append(c)
				c=0
				flag=0
	if flag==0:
		O.append(c)
	else:
		E.append(c)
	Osum=sum(O)
	Esum=sum(E)		
	EC=len(E)
	if flag==0:
		print(Osum+Esum+min(EC,k)*2)
	else:
		print(Osum+Esum+min(2*EC-1,2*k))
Buggy python submission (verdict: Runtime Error):
n=int(input())
A=list(map(int,input().split()))

i=n-1
while i>=0:
	if A[i]==1:
		break
	i-=1

if i==-1:
	print(0)
elif i==0:
	print(1)
	print(1)
else:
	i=(i+1)//2-1
	while i>=0:
		B=[A[j] for j in range(i,n,i+1)]
		r=sum(B[1:])
		
		A[i]=A[i]^r%2
		
		i-=1
		C=[m for m,k in enumerate(A,1) if k!=0]
		print(len(C))
		print(*C)	

Fixed submission:
r = int(input())
print(3*(r**2))
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
A=list(map(int,input().split()))

i=n-1
while i>=0:
	if A[i]==1:
		break
	i-=1

if i==-1:
	print(0)
elif i==0:
	print(1)
	print(1)
else:
	i=(i+1)//2-1
	while i>=0:
		B=[A[j] for j in range(i,n,i+1)]
		r=sum(B[1:])
		
		A[i]=A[i]^r%2
		
		i-=1
		C=[m for m,k in enumerate(A,1) if k!=0]
		print(len(C))
		print(*C)	

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

i=n-1
while i>=0:
    if A[i]==1:
        s=i
        break
    i-=1

if i==-1:
    print(0)
elif s==0:
    print(1)
    print(1)
else:
    i=(s+1)//2-1
    while i>=0:
        B=[A[j] for j in range(i,n,i+1)]
        r=sum(B[1:])
        if r%2==0 and A[i]==0:
            A[i]=0
        elif r%2==0 and A[i]==1:
            A[i]=1
        elif r%2==1 and A[i]==0:
            A[i]=1
        else:
            A[i]=0
        i-=1
    C=[m for m,k in enumerate(A,1) if k!=0]
    print(len(C))
    print(*C)
Buggy python submission (verdict: Runtime Error):
import numpy as np
n=int(input())
A=list(map(int,input().split()))
B=np.array([[0]*n for i in range(n)])
for i in range(n-1):
	B[i,i]=B[i,i+1]=1
B[n-1,0]=B[n-1,n-1]=1
X=np.linalg.solve(B,A)
print(*[int(2*x) for x in X])


Fixed submission:
n=int(input())
A=list(map(int,input().split()))
X=[0]*n
s=0
for i in range(n):
    s+=((-1)**i)*A[i]
X[0]=s//2
for i in range(n-1):
    X[i+1]=A[i]-X[i]
print(*[2*x for x in X])
Buggy python submission (verdict: Runtime Error):
import math
a,b,c,d=map(int,input().split())
e=(c*d)//math.gcd(c, d)
print(b-a+1-(b//c-(a-1)//c)-(b//d-(a-1)//d)+(b//e-(a-1)//e))

Fixed submission:
from fractions import gcd
a,b,c,d=map(int,input().split())
e=(c*d)//gcd(c, d)
print(b-a+1-(b//c-(a-1)//c)-(b//d-(a-1)//d)+(b//e-(a-1)//e))

Buggy python submission (verdict: Runtime Error):
import math
a,b,c,d=map(int,input().split())
e=c*d//math.gcd(c, d)
print(b-a+1-(b//c-(a-1)//c)-(b//d-(a-1)//d)+(b//e-(a-1)//e))

Fixed submission:
from fractions import gcd
a,b,c,d=map(int,input().split())
e=(c*d)//gcd(c, d)
print(b-a+1-(b//c-(a-1)//c)-(b//d-(a-1)//d)+(b//e-(a-1)//e))
Buggy python submission (verdict: Runtime Error):
n,m=map(int,input().split())
a=[int(input()) for i in range(m)]
C=[1]
if 1 in a:
	C.append(0)
else:
	C.append(1)
for i in range(2,n+1):
	if i in a:
		C.append(0)
	else:
		c=C[i-1]+C[i-2]
		C.append(c)
print(c%(10**9+7))

Fixed submission:
n,m=map(int,input().split())
l=[1 for i in range(n+1)]
for i in range(m):
    s=int(input())
    l[s]=0
if n!=1:
    for i in range(2,n+1):
        if l[i]!=0:
            a=max(1,l[i-2]) if l[i-2]!=0 else 0
            b=max(1,l[i-1]) if l[i-1]!=0 else 0
            l[i]=a+b
print(l[n]%(10**9+7))
Buggy python submission (verdict: Runtime Error):
print(int(input())+1)

Fixed submission:
n,k=map(int,input().split())
print(n-k+1)
Buggy python submission (verdict: Time Limit Exceeded):
n,q=map(int,input().split())
S=input()
L=[]
for i in range(n):
    a=S[:i+1].count('AC')
    L.append(a)
for j in range(q):
    s,e=map(int,input().split())
    print(L[e-1]-L[s-1])

Fixed submission:
n,q=map(int,input().split())
S=input()
L=[0]
c=0
for i in range(n-1):
    if S[i:i+2]=='AC':
        c+=1    
    L.append(c)
for j in range(q):
    s,e=map(int,input().split())
    print(L[e-1]-L[s-1])

Buggy python submission (verdict: Time Limit Exceeded):
n,q=map(int,input().split())
S=input()
L = []
for i in range(n-1):
    if S[i:i+2]=='AC':
        L.append(i)

for j in range(q):
    c=0
    s,e=map(int,input().split())
    for n in L:
        if s-1<=n<=e-2:
            c+=1
    print(c)

Fixed submission:
n,q=map(int,input().split())
S=input()
L=[0]
c=0
for i in range(n-1):
    if S[i:i+2]=='AC':
        c+=1    
    L.append(c)
for j in range(q):
    s,e=map(int,input().split())
    print(L[e-1]-L[s-1])
Buggy python submission (verdict: Time Limit Exceeded):
s=input()
n=len(s)
while True:
    t=s.replace('01','').replace('10','')
    if t==s:
        break
    else:
        s=t
print(n-len(t))

Fixed submission:
from collections import Counter
s=input()
if len(set(s))==1:
    print(0)
else:
    c=Counter(s).most_common()
    print(c[1][1]*2)

Buggy python submission (verdict: Time Limit Exceeded):
s=input()
n=len(s)
while True:
    t=s.replace('01','').replace('10','')
    if t==s:
        break
    else:
        s=t
print(n-len(t))

Fixed submission:
from collections import Counter
s=input()
if len(set(s))==1:
    print(0)
else:
    c=Counter(s).most_common()
    print(c[1][1]*2)

Buggy python submission (verdict: Time Limit Exceeded):
s=input()
c=0
while True:
    t=s.replace('01','').replace('10','')
    r=len(s)-len(t)
    if r==0:
        break
    else:
        c+=r
        s=t
print(c)

Fixed submission:
from collections import Counter
s=input()
if len(set(s))==1:
    print(0)
else:
    c=Counter(s).most_common()
    print(c[1][1]*2)
Buggy python submission (verdict: Time Limit Exceeded):
n,k=map(int,input().split())
H=list(map(int,input().split()))

def flog(n):
	inf=float('inf')
	dp=[inf]*n
	
	dp[0]=0
	
	for i in range(n):
		for j in range(1,min(k+1,n-i)):
			dp[i+j]=min(dp[i+j],dp[i]+abs(H[i+j]-H[i]))
	
	return dp[n-1]
print(flog(n))

Fixed submission:
n,k=map(int,input().split())
H=list(map(int,input().split()))

def flog(n):
	inf=float('inf')
	dp=[inf]*n
	
	dp[0]=0
	
	for i in range(n):
		for j in range(1,min(k+1,n-i)):
			dp[i+j]=min(dp[i+j],dp[i]+abs(H[i+j]-H[i]))
	
	return dp[n-1]
print(flog(n))

Buggy python submission (verdict: Time Limit Exceeded):
n,k=map(int,input().split())
H=list(map(int,input().split()))+[0]*k

def flog(n):
    inf=float('inf')
    dp=[inf]*(10**5+200)
    
    dp[0]=0
    
    for i in range(n):
        for j in range(1,k+1):
            dp[i+j]=min(dp[i+j],dp[i]+abs(H[i]-H[i+j]))
            
    return dp[n-1]

print(flog(n))


Fixed submission:
n,k=map(int,input().split())
H=list(map(int,input().split()))

def flog(n):
	inf=float('inf')
	dp=[inf]*n
	
	dp[0]=0
	
	for i in range(n):
		for j in range(1,min(k+1,n-i)):
			dp[i+j]=min(dp[i+j],dp[i]+abs(H[i+j]-H[i]))
	
	return dp[n-1]
print(flog(n))