Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
X,Y=map(int,input().split())
X0=X
if X % 4 ==0:
    if Y % 4 ==0:
        print(Y)
    elif Y % 4 ==1:
        print(1)
    elif Y % 4 ==2:
        print(Y+1)
    elif Y % 4 ==3:
        print(0)
elif X % 4 ==2:
    if Y % 4 ==0:
        print(Y+1)
    elif Y % 4 ==1:
        print(0)
    elif Y % 4 ==2:
        print(Y)
    elif Y % 4 ==3:
        print(1)
else:
    for i in range(X+1,Y+1):
        X = X ^ i
    print(X)

Fixed submission:
X,Y=map(int,input().split())
if X % 2 ==0:
    if (Y-X) % 4 == 0:
        print(0^Y)
    elif (Y-X) % 4 == 1:
        print(1)
    elif (Y-X) % 4 == 2:
        print(1^Y)
    elif (Y-X) % 4 == 3:
        print(0)
elif X % 2 ==1:
    if (Y-X) % 4 == 0:
        print(X^0)
    elif (Y-X) % 4 == 1:
        print(X^Y)
    elif (Y-X) % 4 == 2:
        print(X^1)
    elif (Y-X) % 4 == 3:
        print(X^1^Y)

Buggy python submission (verdict: Time Limit Exceeded):
X,Y=map(int,input().split())
for i in range(X+1,Y+1):
    X = X ^ i
print(X)

Fixed submission:
X,Y=map(int,input().split())
if X % 2 ==0:
    if (Y-X) % 4 == 0:
        print(0^Y)
    elif (Y-X) % 4 == 1:
        print(1)
    elif (Y-X) % 4 == 2:
        print(1^Y)
    elif (Y-X) % 4 == 3:
        print(0)
elif X % 2 ==1:
    if (Y-X) % 4 == 0:
        print(X^0)
    elif (Y-X) % 4 == 1:
        print(X^Y)
    elif (Y-X) % 4 == 2:
        print(X^1)
    elif (Y-X) % 4 == 3:
        print(X^1^Y)
Buggy python submission (verdict: Runtime Error):
import math
N=int(input())
A=[int(x) for x in input().split()]
ans=A[0]
for a in A[1:]:
  ans=math.gcd(ans,a)
print(ans)

Fixed submission:
import fractions
N=int(input())
A=[int(x) for x in input().split()]
ans=A[0]
for a in A[1:]:
  ans=fractions.gcd(ans,a)
print(ans)
Buggy python submission (verdict: Runtime Error):
import numpy as np
from collections import deque
import sys 
N=int(input())
A=np.array([int(i) for i in input().split()])
B=np.array([int(i) for i in input().split()])
C = A-B
minus_idx=np.where(C<0)
plus_idx=np.where(C>=0)
minus = np.sum(C[minus_idx])
plus = deque(np.sort(C[plus_idx]))
len_plus = len(plus)

if len(minus_idx[0]) == 0:
    print(0)
    sys.exit()
if len_plus == 0:
    print(-1)
    sys.exit()
count = 0
while minus<0:
    minus += plus.pop()
    count += 1
    len_plus -= 1
    if len_plus < 0:
        print(-1)
        sys.exit()
print(len(minus_idx[0])+count)

Fixed submission:
import numpy as np
from collections import deque
import sys 
N=int(input())
A=np.array([int(i) for i in input().split()])
B=np.array([int(i) for i in input().split()])
C = A-B
minus_idx=np.where(C<0)
plus_idx=np.where(C>=0)
minus = np.sum(C[minus_idx])
plus = deque(np.sort(C[plus_idx]))
len_plus = len(plus)

if len(minus_idx[0]) == 0:
    print(0)
    sys.exit()
if len_plus == 0:
    print(-1)
    sys.exit()
count = 0
while minus<0:
    try:
        minus += plus.pop()
        count += 1
        len_plus -= 1
    except:
        print(-1)
        sys.exit()
print(len(minus_idx[0])+count)
Buggy python submission (verdict: Time Limit Exceeded):
from functools import lru_cache
import sys

sys.setrecursionlimit(10**6)

N=int(input())
h=[int(i) for i in input().split()]
@lru_cache(maxsize=10**13)
def cost(n):
    if n == 0:
        return 0
    elif n == 1:
        return abs(h[1]-h[0])
    else:
        return min(cost(n-2)+abs(h[n]-h[n-2]), cost(n-1)+abs(h[n]-h[n-1]))
print(cost(N-1))

Fixed submission:
N=int(input())
h=[int(i) for i in input().split()]
cost = [-1]*N
cost[0]=0
cost[1]=abs(h[1]-h[0])
for i in range(2,N):
    cost[i] = min(cost[i-2]+abs(h[i]-h[i-2]), cost[i-1]+abs(h[i]-h[i-1]))
print(cost[-1])

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

sys.setrecursionlimit(10**6)

N=int(input())
h=[int(i) for i in input().split()]
@lru_cache(maxsize=10**6)
def cost(n):
    if n == 0:
        return 0
    elif n == 1:
        return abs(h[1]-h[0])
    else:
        return min(cost(n-2)+abs(h[n]-h[n-2]), cost(n-1)+abs(h[n]-h[n-1]))
print(cost(N-1))

Fixed submission:
N=int(input())
h=[int(i) for i in input().split()]
cost = [-1]*N
cost[0]=0
cost[1]=abs(h[1]-h[0])
for i in range(2,N):
    cost[i] = min(cost[i-2]+abs(h[i]-h[i-2]), cost[i-1]+abs(h[i]-h[i-1]))
print(cost[-1])

Buggy python submission (verdict: Runtime Error):
from functools import lru_cache
N=int(input())
h=[int(i) for i in input().split()]
@lru_cache(maxsize=10**6)
def cost(n):
    if n == 0:
        return 0
    elif n == 1:
        return abs(h[1]-h[0])
    else:
        return min(cost(n-2)+abs(h[n]-h[n-2]), cost(n-1)+abs(h[n]-h[n-1]))
print(cost(N-1))

Fixed submission:
N=int(input())
h=[int(i) for i in input().split()]
cost = [-1]*N
cost[0]=0
cost[1]=abs(h[1]-h[0])
for i in range(2,N):
    cost[i] = min(cost[i-2]+abs(h[i]-h[i-2]), cost[i-1]+abs(h[i]-h[i-1]))
print(cost[-1])

Buggy python submission (verdict: Runtime Error):
N=int(input())
h=[int(i) for i in input().split()]
def cost(n):
    if n == 0:
        return 0
    elif n == 1:
        return abs(h[1]-h[0])
    else:
        return min(cost(n-2)+abs(h[n]-h[n-2]), cost(n-1)+abs(h[n]-h[n-1]))
print(cost(N-1))

Fixed submission:
N=int(input())
h=[int(i) for i in input().split()]
cost = [-1]*N
cost[0]=0
cost[1]=abs(h[1]-h[0])
for i in range(2,N):
    cost[i] = min(cost[i-2]+abs(h[i]-h[i-2]), cost[i-1]+abs(h[i]-h[i-1]))
print(cost[-1])
Buggy python submission (verdict: Time Limit Exceeded):
N,W=map(int,input().split())
w=[0]*N
v=[0]*N
for i in range(N):
    w[i],v[i]=map(int,input().split())
dp=[[-1 for _ in range(W+1)] for _ in range(N+1)]
for i in range(W+1):
    dp[N][i] = 0
for i in range(0,N)[::-1]:
    for j in range(W+1):
        if j < w[i]:
            dp[i][j]=dp[i+1][j]
        else:
            dp[i][j]=max(dp[i+1][j],dp[i+1][j-w[i]]+v[i])
print(dp[0][-1])

Fixed submission:
N,W=map(int,input().split())
w=[0]*N
v=[0]*N
for i in range(N):
    w[i],v[i]=map(int,input().split())
dp=[[-1 for _ in range(W+1)] for _ in range(N+1)]
for i in range(W+1):
    dp[N][i] = 0
for i in range(0,N)[::-1]:
    for j in range(W+1):
        if j < w[i]:
            dp[i][j]=dp[i+1][j]
        else:
            dp[i][j]=max(dp[i+1][j],dp[i+1][j-w[i]]+v[i])
print(dp[0][-1])
Buggy python submission (verdict: Time Limit Exceeded):
s=input()
t=input()
n=len(s)
m=len(t)
dp=[["" for _ in range(n+1)] for _ in range(m+1)]
for i in range(m):
    for j in range(n):
        if t[i] == s[j]:
            dp[i+1][j+1] = dp[i][j] + t[i]
        else:
            if len(dp[i+1][j]) >= len(dp[i][j+1]):
                dp[i+1][j+1] = dp[i+1][j]
            else:
                dp[i+1][j+1] = dp[i][j+1]
        dp[i][j]=0
    dp[i][n]=0
print(dp[-1][-1])

Fixed submission:

s=input()
t=input()
n=len(s)
m=len(t)
dp=[[0 for _ in range(n+1)] for _ in range(m+1)]
for i in range(m):
    for j in range(n):
        if t[i] == s[j]:
            dp[i+1][j+1] = dp[i][j] + 1
        else:
            dp[i+1][j+1] = max(dp[i+1][j],dp[i][j+1])
r=m
c=n
ans=[]
while r !=0 and c!=0:
    #print(r,c,dp[r][c],dp[r-1][c])
    if dp[r][c] != dp[r-1][c]:
        if dp[r][c] != dp[r][c-1]:
            ans.append(s[c-1])
            r-=1
            c-=1
        else:
            c-=1
    else:
        r-=1
print("".join(ans[::-1]))

Buggy python submission (verdict: Time Limit Exceeded):
s=input()
t=input()
n=len(s)
m=len(t)
dp=[["" for _ in range(n+1)] for _ in range(m+1)]
for i in range(m):
    for j in range(n):
        if t[i] == s[j]:
            dp[i+1][j+1] = dp[i][j] + t[i]
        else:
            if len(dp[i+1][j]) >= len(dp[i][j+1]):
                dp[i+1][j+1] = dp[i+1][j]
            else:
                dp[i+1][j+1] = dp[i][j+1]
print(dp[-1][-1])

Fixed submission:

s=input()
t=input()
n=len(s)
m=len(t)
dp=[[0 for _ in range(n+1)] for _ in range(m+1)]
for i in range(m):
    for j in range(n):
        if t[i] == s[j]:
            dp[i+1][j+1] = dp[i][j] + 1
        else:
            dp[i+1][j+1] = max(dp[i+1][j],dp[i][j+1])
r=m
c=n
ans=[]
while r !=0 and c!=0:
    #print(r,c,dp[r][c],dp[r-1][c])
    if dp[r][c] != dp[r-1][c]:
        if dp[r][c] != dp[r][c-1]:
            ans.append(s[c-1])
            r-=1
            c-=1
        else:
            c-=1
    else:
        r-=1
print("".join(ans[::-1]))
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
P = [float(i) for i in input().split()] 

dp = [[0 for i in range(N+1)] for j in range(N+1)]
dp[0][0] = 1

for i in range(1,N+1):
    for j in range(0,i+1):
        if j == 0:
            dp[i][j] = dp[i-1][j] * (1-P[i-1])
        elif j == i:
            dp[i][j] = dp[i-1][j-1] * P[i-1]
        else:
            dp[i][j] = dp[i-1][j]*(1-P[i-1]) + dp[i-1][j-1]*P[i-1]
print(sum(dp[-1][N//2 + 1:]))

Fixed submission:
N = int(input())
P = [float(i) for i in input().split()] 
 
dp = [[0 for i in range(N+1)] for j in range(N+1)]
dp[0][0] = 1
 
for i in range(1,N+1):
    for j in range(0,i+1):
        if j == 0:
            dp[i][j] = dp[i-1][j] * (1-P[i-1])
        elif j == i:
            dp[i][j] = dp[i-1][j-1] * P[i-1]
        else:
            dp[i][j] = dp[i-1][j]*(1-P[i-1]) + dp[i-1][j-1]*P[i-1]
print(sum(dp[-1][N//2 + 1:]))
Buggy python submission (verdict: Runtime Error):
import sys
s=input()
t=input()
n=len(s)-1
d=dict()
for i in range(n):
  if t[i] in d.keys():
  	if d[t[i]] != s[i]:
      print("No")
      sys.exit()
  else:
    d[t[i]] = s[i]
else:
  print("Yes")

Fixed submission:
import sys
s=input()
t=input()
n=len(s)
d=dict()
d2=dict()
for i in range(n):
    if t[i] in d.keys():
        if d[t[i]] != s[i]:
            print("No")
            sys.exit()
    else:
        d[t[i]] = s[i]
    
    if s[i] in d2.keys():
        if d2[s[i]] != t[i]:
            print("No")
            sys.exit()
    else:
        d2[s[i]] = t[i]
else:
    print("Yes")
Buggy python submission (verdict: Runtime Error):
N, i =int(input().split())
print(N-i+1)

Fixed submission:
N, i =map(int,input().split())
print(N-i+1)
Buggy python submission (verdict: Runtime Error):
import math
N=int(input())
l=[1]
for i in range(1,int(math.log(N,6))+1):
    l.append(6**i)
for i in range(1,int(math.log(N,9))+1):
    l.append(9**i)
l.sort()
dp=[math.inf for _ in range(N+1)]
dp[0] = 0
for i in range(len(l)):
    for j in range(l[i],N+1):
        dp[j] = min(dp[j],dp[j-l[i]]+1)
print(dp[-1])

Fixed submission:
import math
N=int(input())
l=[1, 6, 9, 36, 81, 216, 729, 1296, 6561, 7776, 46656, 59049]
dp=[100000 for _ in range(N+1)]
dp[0] = 0
for i in l:
    if i > N:
        break
    for j in range(i,N+1):
        dp[j] = min(dp[j],dp[j-i]+1)
print(dp[-1])

Buggy python submission (verdict: Runtime Error):
import math
N=int(input())
l=[1]
for i in range(1,int(math.log(N,6))+1):
    l.append(6**i)
for i in range(1,int(math.log(N,9))+1):
    l.append(9**i)
l.sort()
dp=[math.inf for _ in range(N+1)]
dp[0] = 0
for i in range(len(l)):
    for j in range(l[i],N+1):
        dp[j] = min(dp[j],dp[j-l[i]]+1)
print(dp[-1])

Fixed submission:
import math
N=int(input())
l=[1, 6, 9, 36, 81, 216, 729, 1296, 6561, 7776, 46656, 59049]
dp=[100000 for _ in range(N+1)]
dp[0] = 0
for i in l:
    if i > N:
        break
    for j in range(i,N+1):
        dp[j] = min(dp[j],dp[j-i]+1)
print(dp[-1])
Buggy python submission (verdict: Time Limit Exceeded):
class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

    def size(self, x):
        return -self.parents[self.find(x)]

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]

    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}

    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())
    

n,m=map(int,input().split())
p=[int(i)-1 for i in input().split()]
tree=UnionFind(n)
for _ in range(m):
    x,y=map(int,input().split())
    tree.union(x-1,y-1)

ans=0
for i in range(n):
    #print(p[i],tree.members(i))
    if p[i] in tree.members(i):
        ans+=1
print(ans)

Fixed submission:
class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

    def size(self, x):
        return -self.parents[self.find(x)]

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]

    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}

    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())
    

n,m=map(int,input().split())
p=[int(i)-1 for i in input().split()]
tree=UnionFind(n)
for _ in range(m):
    x,y=map(int,input().split())
    tree.union(x-1,y-1)

ans=0
for i in range(n):
    #print(p[i],tree.members(i))
    if tree.same(p[i],i):
        ans+=1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
s=input()
K=int(input())-1
N=len(s)
L=set()
for i in range(N+1):
    for j in range(i,N+1):
        #print(s[i:j])
        L.add(s[i:j])
ans=sorted(list(L))
ans.remove('')
print(ans[K])

Fixed submission:
s=input()
K=int(input())
N=len(s)
L=set()
for i in range(N+1):
    for j in range(i,i+K+1):
        #print(s[i:j])
        L.add(s[i:j])
ans=sorted(list(L))
ans.remove('')
print(ans[K-1])

Buggy python submission (verdict: Runtime Error):
s=input()
K=int(input())-1
N=len(s)
L=set()
for i in range(N):
    for j in range(i+1,N):
        L.add(s[i:j])
ans=sorted(list(L))
print(ans[K])

Fixed submission:
s=input()
K=int(input())
N=len(s)
L=set()
for i in range(N+1):
    for j in range(i,i+K+1):
        #print(s[i:j])
        L.add(s[i:j])
ans=sorted(list(L))
ans.remove('')
print(ans[K-1])
Buggy python submission (verdict: Runtime Error):
h,w,d=map(int,input().split())
A=[]
for _ in range(h):
    A.append([int(i) for i in input().split()])
q=int(input())
lr=[]
for _ in range(q):
    l,r = map(int,input().split())
    lr.append((l,r))
D=dict()
for i in range(h):
    for j in range(w):
        D[A[i][j]]=(i,j)

def dist(a,b):
    return abs(a[0]-b[0])+abs(a[1]-b[1])
#ans=[[-1 for _ in range(h*w//d+1)] for _ in range(d)]
res=dict()
for i in range(d):
    j=i+1
    cnt=0
    #ans[i][0] = 0
    while j<=h*w-d:
        #ans[i][cnt+1] = ans[i][cnt] + dist(D[j],D[j+d])
        res[j] = ans[i][cnt]
        j+=d
        cnt+=1
for l,r in lr:
    print(res[r]-res[l])

Fixed submission:
h,w,d=map(int,input().split())
A=[]
for _ in range(h):
    A.append([int(i) for i in input().split()])
q=int(input())
lr=[]
for _ in range(q):
    l,r = map(int,input().split())
    lr.append((l,r))
D=dict()
for i in range(h):
    for j in range(w):
        D[A[i][j]]=(i,j)

def dist(a,b):
    return abs(a[0]-b[0])+abs(a[1]-b[1])
#ans=[[-1 for _ in range(h*w//d+1)] for _ in range(d)]
res=dict()
for i in range(d):
    j=i+1
    cnt=0
    res[j]=0
    #ans[i][0] = 0
    while j<=h*w-d:
        #ans[i][cnt+1] = ans[i][cnt] + dist(D[j],D[j+d])
        res[j+d] = res[j]+dist(D[j],D[j+d]) #ans[i][cnt]
        j+=d
        cnt+=1
for l,r in lr:
    print(res[r]-res[l])
Buggy python submission (verdict: Runtime Error):
import sys
d={"Vacant":0, "Male":1, "Female":-1}

N=int(input())
M=[2 for _ in range(N+1)]
print(0, flush=True)
M[0]=d[input()]
M[N]=M[0]

def search(l,r):
    if r - l == 2:
        print(l+1)
        sys.exit()
    print((l+r)//2, flush=True)
    return d[input()]
l=0
r=N
while True:
    M[(r+l)//2] = search(l,r)
    if M[(r+l)//2] == 0:
        print((r+l)//2)
        sys.exit()
    elif M[(r+l)//2] != M[l]:
            r=(r+l)//2
    elif M[(r+l)//2] != M[r]:
            l=(r+l)//2
    else:
        print("something wrong")
        sys.exit()

Fixed submission:
import sys
d={"Vacant":0, "Male":1, "Female":-1}

N=int(input())
M=[2 for _ in range(N+1)]
print(0, flush=True)
M[0]=d[input()]
M[N]=M[0]

def search(l,r):
    if r - l == 2:
        print(l+1)
        sys.exit()
    print((l+r)//2, flush=True)
    return d[input()]
l=0
r=N
while True:
    m=(r+l)//2
    M[m] = search(l,r)
    if M[m] == 0:
        print(m)
        sys.exit()
    if (m-l) % 2 == 0:
        if M[m] == M[l]:
            l=m
        else:
            r=m
    else:
        if M[m] == M[l]:
            r=m
        else:
            l=m

Buggy python submission (verdict: Runtime Error):
import sys
d={"Vacant":0, "Male":1, "Female":-1}

N=int(input())
M=[2 for _ in range(N+1)]
print(0, flush=True)
M[0]=d[input()]
M[N]=M[0]

def search(l,r):
    if r - l == 2:
        print(l+1)
        sys.exit()
    print((l+r)//2,flush=True)
    return d[input()]
l=0
r=N
while True:
    M[(r+l)//2] = search(l,r)
    if M[(r+l)//2] != M[l]:
            r=(r+l)//2
    elif M[(r+l)//2] != M[r]:
            l=(r+l)//2
    else:
        print("something wrong")

Fixed submission:
import sys
d={"Vacant":0, "Male":1, "Female":-1}

N=int(input())
M=[2 for _ in range(N+1)]
print(0, flush=True)
M[0]=d[input()]
M[N]=M[0]

def search(l,r):
    if r - l == 2:
        print(l+1)
        sys.exit()
    print((l+r)//2, flush=True)
    return d[input()]
l=0
r=N
while True:
    m=(r+l)//2
    M[m] = search(l,r)
    if M[m] == 0:
        print(m)
        sys.exit()
    if (m-l) % 2 == 0:
        if M[m] == M[l]:
            l=m
        else:
            r=m
    else:
        if M[m] == M[l]:
            r=m
        else:
            l=m
Buggy python submission (verdict: Time Limit Exceeded):
import bisect
n=int(input())
A=[int(i) for i in input().split()]
B=[int(i) for i in input().split()]
C=[int(i) for i in input().split()]
A.sort()
B.sort()
C.sort()
ans=0
for a in A:
    idx = bisect.bisect_right(B,a)
    for b in B[idx:]:
        idx2 = bisect.bisect_right(C,b)
        #print(idx,idx2)
        ans += (n-idx2)
print(ans)

Fixed submission:
import bisect
n=int(input())
A=[int(i) for i in input().split()]
B=[int(i) for i in input().split()]
C=[-int(i) for i in input().split()]
A.sort()
B.sort()
C.sort()
ans = 0
for b in B:
    a = bisect.bisect_left(A,b)
    c = bisect.bisect_left(C,-b)
    #print(a,c)
    ans += a*c
print(ans)
Buggy python submission (verdict: Runtime Error):
import sys
N=int(input())
for h in range(1,3501):
    for n in range(1,h):
        a = h*n*N
        b = -(n+h)*N + 4*h*n
        if a % b ==0 and a*b>0:
            print(h,n,a//b)
            sys.exit()

Fixed submission:
import sys
N=int(input())
for h in range(1,3501):
    for n in range(1,h):
        a = h*n*N
        b = -(n+h)*N + 4*h*n
        if b !=0:
            if a % b ==0 and a*b>0:
                print(h,n,a//b)
                sys.exit()
Buggy python submission (verdict: Runtime Error):
N=int(input())
S=list(input())
T=list(input())
state=[]
lim=1000000007
i=0
while i<=N:
    if S[i] == T[i]:
        state.append(0)
        i+=1
    else:
        state.append(1)
        i+=2
ans=3    
for i in range(1,len(state)):
    if state[i] == 1 and state[i-1] == 1:
        ans = (ans * 3) % lim
    elif state[i] == 1 and state[i-1] == 0:
        ans = (ans * 2) % lim
    elif state[i] == 0 and state[i-1] == 1:
        pass
    elif state[i] == 0 and state[i-1] == 0: 
        ans = (ans * 2) % lim
print(ans)

Fixed submission:
N=int(input())
S=list(input())
T=list(input())
state=[]
lim=1000000007
i=0
while i<N:
    if S[i] == T[i]:
        state.append(0)
        i+=1
    else:
        state.append(1)
        i+=2
if state[0]==0:
    ans=3
else:
    ans=6
for i in range(1,len(state)):
    if state[i] == 1 and state[i-1] == 1:
        ans = (ans * 3) % lim
    elif state[i] == 1 and state[i-1] == 0:
        ans = (ans * 2) % lim
    elif state[i] == 0 and state[i-1] == 1:
        pass
    elif state[i] == 0 and state[i-1] == 0: 
        ans = (ans * 2) % lim
print(ans)
Buggy python submission (verdict: Runtime Error):
import math
from functools import reduce

def gcd_list(numbers):
    return reduce(math.gcd, numbers)

N,K=map(int,input().split())
A=[int(i) for i in input().split()]
gcd = gcd_list(A)

if K > max(A):
    print("IMPOSSIBLE")
elif K % gcd !=0:
    print("IMPOSSIBLE")
else:
    print("POSSIBLE")

Fixed submission:
import fractions
from functools import reduce

def gcd_list(numbers):
    return reduce(fractions.gcd, numbers)

N,K=map(int,input().split())
A=[int(i) for i in input().split()]
gcd = gcd_list(A)

if K > max(A):
    print("IMPOSSIBLE")
elif K % gcd !=0:
    print("IMPOSSIBLE")
else:
    print("POSSIBLE")

Buggy python submission (verdict: Runtime Error):
import math
from functools import reduce

def gcd_list(numbers):
    return reduce(math.gcd, numbers)

N,K=map(int,input().split())
A=[int(i) for i in input().split()]
gcd = gcd_list(A)

if K > max(A):
    print("IMPOSSIBLE")
elif K % gcd !=0:
    print("IMPOSSIBLE")
else:
    print("POSSIBLE")

Fixed submission:
import fractions
from functools import reduce

def gcd_list(numbers):
    return reduce(fractions.gcd, numbers)

N,K=map(int,input().split())
A=[int(i) for i in input().split()]
gcd = gcd_list(A)

if K > max(A):
    print("IMPOSSIBLE")
elif K % gcd !=0:
    print("IMPOSSIBLE")
else:
    print("POSSIBLE")