Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
if __name__ == "__main__":
    N = int(input())
    A = list(map(int, input().split()))
    ans = 1
    for i in range(N):
        ans *= A[i]

    if ans > 10**18:
        ans = -1
    print(ans)
         


Fixed submission:
if __name__ == "__main__":
    N = int(input())
    A = sorted(list(map(int, input().split())))
    ans = 1
    for i in range(N):
        ans *= A[i]
        if ans > 10**18:
            print(-1)
            break
    else:
        print(ans)

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

if __name__ == "__main__":
    N = int(input())
    A = input().split()
    ans = 1
    for i in range(N):
        ans *= int(A[i])

    if ans > 10**18:
        ans = -1
    print(ans)
         


Fixed submission:
if __name__ == "__main__":
    N = int(input())
    A = sorted(list(map(int, input().split())))
    ans = 1
    for i in range(N):
        ans *= A[i]
        if ans > 10**18:
            print(-1)
            break
    else:
        print(ans)

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

if __name__ == "__main__":
    N = int(input())
    A = input().split()
    ans = reduce(lambda x,y:int(x)*int(y), A)

    if ans > 10**18:
        ans = -1
    print(ans)
         


Fixed submission:
if __name__ == "__main__":
    N = int(input())
    A = sorted(list(map(int, input().split())))
    ans = 1
    for i in range(N):
        ans *= A[i]
        if ans > 10**18:
            print(-1)
            break
    else:
        print(ans)

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

if __name__ == "__main__":
    N = int(input())
    A = input().split()
    ans = 0

    ans = reduce(lambda x,y:int(x)*int(y), A)
        

    if ans > 10**18:
        ans = -1
    print(ans)
         


Fixed submission:
if __name__ == "__main__":
    N = int(input())
    A = sorted(list(map(int, input().split())))
    ans = 1
    for i in range(N):
        ans *= A[i]
        if ans > 10**18:
            print(-1)
            break
    else:
        print(ans)
Buggy python submission (verdict: Runtime Error):
import numpy
N=int(input())
A=input()
A=A.split()
B=[]
for i in range(N):
  A[i]=int(A[i])

  
a=numpy.cumsum(A)
b=0
for j in range(N):
  b+=A[j]*(a[N-1]-a[j])
 
  
MOD=1000000007  
print(b%MOD)
  



Fixed submission:
A=input()
A=A.split()
D=int(A[0])
T=int(A[1])
S=int(A[2])

if S*T>=D:
  print("Yes")
else:
  print("No")

Buggy python submission (verdict: Runtime Error):
d=T*S
if d>D:
  print("Yes")
else:
  print("No")

Fixed submission:
A=input()
A=A.split()
D=int(A[0])
T=int(A[1])
S=int(A[2])

if S*T>=D:
  print("Yes")
else:
  print("No")
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=input()
A=A.split()
for i in range(N):
  A[i]=int(A[i])

X=[]
for i in range(N):
  for j in range(i+1,N):
    X.append(A[i]*A[j])
x=sum(X)

MOD=1000000007
print(x%MOD)



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

S=sum(A)
a=0
for x in A:
  S-=x
  a+=S*x
    
MOD=10**9+7
print(int(a%MOD))

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
p=input()
p=p.split()
A=[]
for i in range(len(p)):
  A.append(int(p[i]))

X=[]
for i in range(N):
  for j in range(i+1,N):
    X.append(A[i]*A[j])
x=sum(X)

MOD=1000000007
print(x%MOD)



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

S=sum(A)
a=0
for x in A:
  S-=x
  a+=S*x
    
MOD=10**9+7
print(int(a%MOD))

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
p=input()
p=p.split()
A=[]
for i in range(len(p)):
  A.append(int(p[i]))

X=[]
for i in range(N):
  for j in range(i+1,N):
    X.append(A[i]*A[j])
x=0
for i in range(len(X)):
  x+=X[i]

MOD=1000000007
print(x%MOD)

  




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

S=sum(A)
a=0
for x in A:
  S-=x
  a+=S*x
    
MOD=10**9+7
print(int(a%MOD))
Buggy python submission (verdict: Runtime Error):
N=list(map(int,input().split()))
n=N[0]
m=N[1]
A = []
for i in range(m):
  array = list(map(int,input().split()))
  array.sort()
  A.append(array)
def get_unique_list(seq):
    seen = []
    return [x for x in seq if x not in seen and not seen.append(x)]

X=get_unique_list(A)

import collections

t = map(tuple,X)
counted = collections.Counter(t)
mode=counted.most_common()[0][0]

c=1
for j in range(len(X)):
  if mode[0] in X[j]:
    c+=1
 
    
print(c)

  
  



Fixed submission:
class UnionFind(): # 0インデックス
    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)]


if __name__ == "__main__":
    N, M = map(int, input().split()) # N人、M個の関係
    union_find = UnionFind(N)
    for _ in range(M):
        A, B = map(int, input().split())
        A -= 1
        B -= 1
        union_find.union(A, B)

    answer = 0
    for i in range(N):
        answer = max(answer, union_find.size(i))

    print(answer)

Buggy python submission (verdict: Time Limit Exceeded):
N=list(map(int,input().split()))
n=N[0]
m=N[1]
A = []
for i in range(m):
  array = list(map(int,input().split()))
  array.sort()
  A.append(array)
def get_unique_list(seq):
    seen = []
    return [x for x in seq if x not in seen and not seen.append(x)]

X=get_unique_list(A)
#print(X)
R=[]

for j in range(1,n+1):
  c=1
  for h in range(len(X)):
    if j in X[h]:
      c+=1
  R.append(c)
    
  
print(max(R))

Fixed submission:
class UnionFind(): # 0インデックス
    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)]


if __name__ == "__main__":
    N, M = map(int, input().split()) # N人、M個の関係
    union_find = UnionFind(N)
    for _ in range(M):
        A, B = map(int, input().split())
        A -= 1
        B -= 1
        union_find.union(A, B)

    answer = 0
    for i in range(N):
        answer = max(answer, union_find.size(i))

    print(answer)
Buggy python submission (verdict: Runtime Error):
N = int(input() )
S, T = map(str, input().split())
print(S + T

Fixed submission:
N = int(input() )
S, T = map(str, input().split())

newword = []
for num in range(len(S)):
    newword.append(S[num])
    newword.append(T[num])
word = ""
for i in newword:
    word+=i
print(word)
Buggy python submission (verdict: Runtime Error):
A, B = map(int, input().split())
import math

def lcm(x, y):
    return (x * y) // math.gcd(x, y)

print(lcm(A, B) )

Fixed submission:
import fractions
a, b = map(int, input().split())
print(a * b // fractions.gcd(a, b))

Buggy python submission (verdict: Runtime Error):
A, B = map(int, input().split())
import math

def lcm(x, y):
    return (x * y) // math.gcd(x, y)

print(lcm(A, B) )

Fixed submission:
import fractions
a, b = map(int, input().split())
print(a * b // fractions.gcd(a, b))
Buggy python submission (verdict: Runtime Error):
cnt = 0
for moji in s:
    #print(moji)
    num = s.count(moji)
    #print(num)
    if num == 2:
        cnt+=1
    else:
        break
        
if cnt == 4:
    print("Yes")
else:
    print("No")

Fixed submission:
s = str(input())
cnt = 0
for moji in s:
    #print(moji)
    num = s.count(moji)
    #print(num)
    if num == 2:
        cnt+=1
    else:
        break
        
if cnt == 4:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
S = list(input())


#勝利数
win = S.count("o")
#これから勝つ必要のある試合
korekara = 8 - win
#戦った試合
match = len(S)
#残り試合
nokori = 15 - match

if korekara <= 0:
    print("YES")
elif nokori => korekara:
    print("YES")
else:
    print("NO")

Fixed submission:
S = list(input())

#勝利数
win = S.count("o")
#これから勝つ必要のある試合
korekara = 8 - win
#戦った試合
match = len(S)
#残り試合
nokori = 15 - match

if korekara <= 0:
    print("YES")
elif nokori >= korekara:
    print("YES")
else:
    print("NO")

Buggy python submission (verdict: Runtime Error):
S = list(input())
#勝利数
win = S.count("o")
#これから勝つ必要のある試合
korekara = 8 - win
#戦った試合
match = len(S)
#残り試合
nokori = 15 - match

if korekara <= 8:
    print("YES")
elif nokori => korekara:
    print("YES")
else:
    print("NO")

Fixed submission:
S = list(input())

#勝利数
win = S.count("o")
#これから勝つ必要のある試合
korekara = 8 - win
#戦った試合
match = len(S)
#残り試合
nokori = 15 - match

if korekara <= 0:
    print("YES")
elif nokori >= korekara:
    print("YES")
else:
    print("NO")
Buggy python submission (verdict: Runtime Error):
if a >= 13:
    print(b)
elif 12 >= a >= 6:
    print(int(b/2))
else:
    print(0)

Fixed submission:
a,b = map(int,input().split())
if b%2 ==0 :
    if a >= 13:
        print(b)
    elif 12 >= a >= 6:
        print(int(b/2))
    else:
        print(0)
else:
    pass
Buggy python submission (verdict: Runtime Error):
r,D,x2000 = map(int, input().split())
next_value = algae(x2000)
for i in range(10):
    #next_value = algae(x2000)
    print(next_value)
    next_value = algae(next_value)

Fixed submission:
r,D,x2000 = map(int, input().split())
def algae(x2000):
    #for i in range(10):
        ans = r * x2000 - D
        #new_ans = algae(r, D, ans)
        
        return ans
      
next_value = algae(x2000)
for i in range(10):
    print(next_value)
    next_value = algae(next_value)
Buggy python submission (verdict: Runtime Error):
#include<iostream>
#include<string>
#include<map>
#include<algorithm>
#include<vector>

using namespace std;

int main(){
    int a, b, c, d, e;
    int k;
    scanf("%d%d%d%d%d%d", &a, &b, &c, &d, &e);
    scanf("%d", &k);

    string ans;
    int L = e - a ;
    if (L > k) ans  = "Yay!";
    else ans = ":("

    printf("%d\n", ans)
}

Fixed submission:
a = int(input())
b = int(input())
c = int(input())
d = int(input())
e = int(input())
k = int(input())

if abs(e -a ) <= k:
    print("Yay!")
else:
    print(":(")
Buggy python submission (verdict: Time Limit Exceeded):
X, K, D = map(int, input().rstrip().split())
before = X
for i in range(K):
  buf = X
  if X<0:
    X += D
  else:
    X -= D
  if X == before:
    if (K-i)%2 == 0:
      if X<0:
        X += D
      else:
        X -= D
    else:
      X = before
    break
  before=buf
print(abs(X))

Fixed submission:
X, K, D = map(int, input().rstrip().split())
before = X

if abs(X)//D>=K:
  print(abs(X)-D*K)
else:
  for i in range(K):
    buf = X
    if X<0:
      X += D
    else:
      X -= D
    if X == before:
      if (K-i)%2 == 0:
        if X<0:
          X += D
        else:
          X -= D
      else:
        X = before
      break
    before=buf
  print(abs(X))
Buggy python submission (verdict: Runtime Error):
from sys import stdin

K = int(stdin.readline().rstrip())
if K % 2 = 0:
  print(-1)
a_n = 7
i = 1
while True:
  if a_n < K:
    print(-1)
    break
  if a_n % K == 0:
    print(i)
    break
  else:
    i += 1
    a_n = a_n * 10 + 7
    



Fixed submission:
from sys import stdin
K = int(stdin.readline().rstrip())
def main(K):
  a=0
  for i in range(1,K+1):
    a = ((10%K) * a + 7)%K
    if a == 0:
      return i
  return -1
print(main(K))

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

K = int(stdin.readline().rstrip())
a_n = 7
i = 1
while True:      
  if a_n % K == 0:
    break
  else:
    i += 1
    a_n = a_n * 10 + 7
    
print(i)

Fixed submission:
from sys import stdin
K = int(stdin.readline().rstrip())
def main(K):
  a=0
  for i in range(1,K+1):
    a = ((10%K) * a + 7)%K
    if a == 0:
      return i
  return -1
print(main(K))
Buggy python submission (verdict: Runtime Error):
X=int(input())
Y=int(input())
Z=int(input())
X ^= Z
Z ^= X
X ^= Z

Y ^= Z
Z ^= Y
Y ^= Z
print(X,Y,Z)
      

Fixed submission:
A,B,C=map(int,input().split())
print(C,A,B)

Buggy python submission (verdict: Runtime Error):
X=int(input())
Y=int(input())
Z=int(input())
X, Y, Z = Z, X, Y
print(X,Y,Z)

Fixed submission:
A,B,C=map(int,input().split())
print(C,A,B)

Buggy python submission (verdict: Runtime Error):
X=int(input())
Y=int(input())
Z=int(input())
b=X
X=Z
Z=b
c=Z
Z=Y
Y=c
print(X,Y,Z)

Fixed submission:
A,B,C=map(int,input().split())
print(C,A,B)
Buggy python submission (verdict: Runtime Error):
a=int(input())
b= a // 500
bc= a % 500
abc = bc // 5
happy= b * 1000 + abc * 5
print(happy)

Fixed submission:
inputs = str(input())
lists = []
lists.append(inputs)
if inputs[2] == inputs[3] and inputs[4] == inputs[5]:
      print('Yes')
else:
      print('No')

Buggy python submission (verdict: Runtime Error):
b=int(input())
if b>=500:
      overall=b*2
      print(overall)
elif b<=499 and b>0:
      print(b)
elif b<=0:
      print(0)

Fixed submission:
inputs = str(input())
lists = []
lists.append(inputs)
if inputs[2] == inputs[3] and inputs[4] == inputs[5]:
      print('Yes')
else:
      print('No')
Buggy python submission (verdict: Runtime Error):
n,x,m = map(int,input().split())

A = [x]
where = {x: 0}
for i in range(1, n):
    a = A[-1]**2 % m
    if a in where:
        break
    where[a] = i
    A.append(a)

perstart = where[a]
res = sum(A)
rem = n - len(A)
per = len(A) - perstart
res += rem//per*sum(A[perstart:perstart+per])
res += sum(A[perstart:perstart + (rem%per)])

print(res)


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

A = [x]
where = {x: 0}
a = x
for i in range(1, n):
    a = A[-1]**2 % m
    if a in where:
        break
    where[a] = i
    A.append(a)

perstart = where[a]
res = sum(A)
rem = n - len(A)
per = len(A) - perstart
res += rem//per*sum(A[perstart:perstart+per])
res += sum(A[perstart:perstart + (rem%per)])

print(res)
Buggy python submission (verdict: Runtime Error):
a,b,n = map(int,input().split())
print(max(a*x//b - a*(x//b) for x in list(range(b-1, n+1, b))[:1] + [n]))


Fixed submission:
a,b,n = map(int,input().split())
if b-1 <= n:
    cand = [b-1, n]
else:
    cand = [n]
print(max(a*x//b - a*(x//b) for x in cand))
Buggy python submission (verdict: Time Limit Exceeded):
R = [0]*2019
s = input()

res = 0
for d in map(int, s):
    new = [0]*2019
    for i in range(2019):
        new[(i*10 + d)%2019] += R[i]
    new[d] += 1
    res += new[0]
    R = new
print(res)



Fixed submission:
R = [0]*2019
s = input()

res = 0
for d in map(int, s):
    new = [0]*2019
    for i in range(2019):
        new[(i*10 + d)%2019] += R[i]
    new[d] += 1
    res += new[0]
    R = new
print(res)
Buggy python submission (verdict: Runtime Error):
def g(n):
    D = [[0]*10 for i in range(10)]
    for i in range(1,n+1):
        si = str(i)
        D[int(si[0])][int(si[-1])] += 1

    res = 0
    for i in range(10):
        for j in range(10):
            res += D[i][j]*D[j][i]
    return res
print(g(int(n)))


Fixed submission:
def g(n):
    D = [[0]*10 for i in range(10)]
    for i in range(1,n+1):
        si = str(i)
        D[int(si[0])][int(si[-1])] += 1

    res = 0
    for i in range(10):
        for j in range(10):
            res += D[i][j]*D[j][i]
    return res
print(g(int(input())))
Buggy python submission (verdict: Runtime Error):

X = [0,0,0]

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

res = 1
for a in A:
    res = res*X.count(a) % 1000000007
    if X.count(a):
        X[X.index(a)] += 1
    else:
        assert False
print(res)


Fixed submission:
import sys

X = [0,0,0]

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

res = 1
for a in A:
    res = res*X.count(a) % 1000000007
    if X.count(a):
        X[X.index(a)] += 1
    else:
        print(0)
        sys.exit(0)
print(res)
Buggy python submission (verdict: Runtime Error):
# chessboard, manhattan distance even will noly be possible if parity is right

from math import sqrt
eps = 1e-5

# Utils
def solve2(A11,A12,A21,A22,b1,b2):
    """Solves a 2x2 matrix equation."""
    det = (A11*A22-A12*A21)
    if abs(det) < eps:
        return (None, None)

    return (1/det*(b1*A22-b2*A12), 1/det*(b2*A11-b1*A21))

def dot(a,b):
    """Returns the dot product"""
    return sum(a[i]*b[i] for i in range(len(a)))
    
def normalize(a):
    """Normalize vector to unit length"""
    norm = sqrt(dot(a,a))
    return tuple(x/norm for x in a)

def cross(a,b):
    """3D cross product"""
    return (a[1]*b[2] - a[2]*b[1],
            a[2]*b[0] - a[0]*b[2],
            a[0]*b[1] - a[1]*b[0])

# intpt,onsegment,t,s = ll_intersect(a,da,b,db)
def ll_intersect(a,da,b,db):
    """Given two segments, return line intersection, segments crossing and
       parameters at crossing"""
    dx, dy = a[0]-b[0], a[1]-b[1]
    s,t = solve2(db[0], -da[0], db[1], -da[1], dx, dy)

    if s == None:
        return (None, False, None, None)

    ipt = (a[0] + t*da[0], a[1] + t*da[1])
    
    # Epsilon treatment?
    if s < -eps or s > 1+eps or t < -eps or t > 1+eps:
        return (ipt, False, t, s)
    
    return (ipt, True, t, s)
    

def manhattan(x,y,s,t):
    return abs(x-s) + abs(y-t)

def main():
    k = int(input())
    xx,yy = map(int,input().split())
    if k % 2 == 0:
        if (xx+yy)%2:
            print('-1')
            return
    
    P = []

    while (xx,yy) != (0,0):
        P.append((xx,yy))
        if manhattan(0,0,xx,yy) <= 2*k:
            Sorig = [[(-k,0),(k,k)],
                    [(0,k),(k,-k)],
                    [(k,0),(-k,-k)],
                    [(0,-k),(-k,k)]]
            S = [[(pos[0]+xx,pos[1]+yy),diff] for pos,diff in Sorig]
            
            inter = []
            for pp,dd in S:
                for pp2,dd2 in Sorig:
                    pt,onseg,_,_ = ll_intersect(pp,dd,pp2,dd2)
                    if onseg:
                        ix,iy = pt
                        if (ix - round(ix)) < eps and (iy - round(iy)) < eps:
                            inter.append((int(round(ix)),int(round(iy))))

            for ix,iy in inter:
                ix,iy = inter[-1]
                if manhattan(0,0,ix,iy) == k and manhattan(ix,iy,xx,yy) == k:
                    P.append((ix,iy))
                    P.append((0,0))
                    break
            if P[-1] == (0,0):
                break

        if xx < 0:
            signx = -1
            xx *= -1
        else:
            signx = 1

        if yy < 0:
            signy = -1
            yy *= -1
        else:
            signy = 1

        togo = k
        mn = min(togo,xx)
        xx -= mn
        togo -= mn
        yy -= togo

        xx *= signx
        yy *= signy

    for i in range(len(P)-1):
        assert abs(P[i][0] - P[i+1][0]) + abs(P[i][1] - P[i+1][1]) == k

    print(len(P)-1)
    for x,y in P[:-1][::-1]:
        print(x,y)

main()


Fixed submission:
a,b = map(int,input().split())
k = (a+b)//2

if abs(a-k) == abs(b-k):
    print(k)
else:
    print('IMPOSSIBLE')
Buggy python submission (verdict: Runtime Error):
from collections import defaultdict as dd, deque, Counter
n = int(input())
C = Counter(map(int,input().split()))

if len(C) == 1:
    if C.values()[0] == 0:
        print('Yes')
    else:
        print('No')
elif len(C) == 2:
    it = list(C.items())
    k1,v1 = it[0]
    k2,v2 = it[1]
    if v1 == 2*v2 or v2 == 2*v1 and 0 in [k1,k2]:
        print('Yes')
    else:
        print('No')
elif len(C) == 3:
    it = list(C.items())
    k1,v1 = it[0]
    k2,v2 = it[1]
    k3,v3 = it[2]

    if v1 == v2 == v3 and k1^k2 == k3:
        print('Yes')
    else:
        print('No')
else:
    print('No')


Fixed submission:
from collections import defaultdict as dd, deque, Counter
n = int(input())
C = Counter(map(int,input().split()))

if len(C) == 1:
    if list(C)[0] == 0:
        print('Yes')
    else:
        print('No')
elif len(C) == 2:
    it = list(C.items())
    k1,v1 = it[0]
    k2,v2 = it[1]
    if v1 == 2*v2 or v2 == 2*v1 and 0 in [k1,k2]:
        print('Yes')
    else:
        print('No')
elif len(C) == 3:
    it = list(C.items())
    k1,v1 = it[0]
    k2,v2 = it[1]
    k3,v3 = it[2]

    if v1 == v2 == v3 and k1^k2 == k3:
        print('Yes')
    else:
        print('No')
else:
    print('No')
Buggy python submission (verdict: Runtime Error):
# floor(N/m) = N % m

def divisors(n):
    D = []
    for d in range(1,int((n)**.5)+1):
        if n%d == 0:
            D.append(d)
            if n//d != d:
                D.append(n//d)
    return D

def solve(n):
    s = 0

    for d in divisors(n):
        m = d - 1
        if m and (m+1)*(n//m) == n:
            s += m
    return s


n = int(input())
print(solve(n))


Fixed submission:
n,k=map(int,input().split())
print(n-k+1)

Buggy python submission (verdict: Runtime Error):
n = int(input())
S = [input() for _ in range(n)]

count = 0
ba = 0
wa = 0
bw = 0
for s in S:
    count += s.count('AB')
    if s[0] == 'B' and s[-1] == 'A':
        ba += 1
    elif s[0] == 'B':
        bw += 1
    elif s[-1] == 'A':
        wa += 1

if ba:
    count += ba - 1
    ba = 1
if ba:
    if wa and bw:
        count += 2
        wa -= 1
        bw -= 1
        ba -= 1
    if ba:
        if wa < bw:
            wa += 1
        else:
            bw += 1
count += min(wa,bw)

print(count)

Fixed submission:
n,k=map(int,input().split())
print(n-k+1)
Buggy python submission (verdict: Runtime Error):
n = int(input())
S = [input() for _ in range(n)]

count = 0
ba = 0
wa = 0
bw = 0
for s in S:
    count += s.count('AB')
    if s[0] == 'B' and s[-1] == 'A':
        ba += 1
    elif s[0] == 'B':
        bw += 1
    elif s[-1] == 'A':
        wa += 1

if ba:
    count += ba - 1
    ba = 1
if ba:
    if wa and bw:
        count += 2
        wa -= 1
        bw -= 1
        ba -= 1
    if ba:
        if wa < bw:
            wa += 1
        else:
            bw += 1
count += min(wa,bw)

print(count)´

Fixed submission:
n = int(input())
S = [input() for _ in range(n)]

count = 0
ba = 0
wa = 0
bw = 0
for s in S:
    count += s.count('AB')
    if s[0] == 'B' and s[-1] == 'A':
        ba += 1
    elif s[0] == 'B':
        bw += 1
    elif s[-1] == 'A':
        wa += 1

if ba:
    count += ba - 1
    ba = 1
if ba:
    if wa and bw:
        count += 2
        wa -= 1
        bw -= 1
        ba -= 1
    if ba:
        if wa < bw:
            wa += 1
        else:
            bw += 1
count += min(wa,bw)

print(count)
Buggy python submission (verdict: Runtime Error):
n = int(input())

n_zero = 10**n - 9**n #19
n_nine = 10**n - 9**n #19
n_non_zn = 8**n #64

a = (10**n - n_zero - n_nine - n_zn)

if a < 0:
  a = -a

print(a % (10**9+7))


Fixed submission:
n = int(input())

ten = 10**n
nine = 9**n
eight = 8**n

n_zero = ten - nine #19
n_zn = eight #64

a = (ten - n_zero * 2 - n_zn)

if a < 0:
  a = -a

print(a % (10**9+7))
Buggy python submission (verdict: Runtime Error):
n = input()
a_list = input().split(" ")

b = [int(a) for a in a_list]
max = 10**9 + 7

sum = 0
for i in range(0, len(b)-1):
  for j in range(i+1, len(b)):
    sum += b[i] * b[j]
    sum = sum % max
print(sum)



Fixed submission:
d, t, s = input().split(" ")
 
if int(s) * int(t) < int(d):
  print('No')
else:
  print('Yes')

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

d = sys.argv[1]
t = sys.argv[2]
s = sys.argv[3]

if s * t < d:
  return 'No'
else:
  return 'Yes'


Fixed submission:
d, t, s = input().split(" ")
 
if int(s) * int(t) < int(d):
  print('No')
else:
  print('Yes')