Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int, input().split()))
a.sort(reverse=True)
h = a[0] // 2
count = 1
while True:
    if h in a and h != a[0]:
        print(a[0], h)
        break
    else:
        if count % 2 == 1:
            h += count
        else:
            h -= count
    count += 1

Fixed submission:
import numpy as np


def getNearestValue(list, num):
    """
    概要: リストからある値に最も近い値を返却する関数
    @param list: データ配列
    @param num: 対象値
    @return 対象値に最も近い値
    """

    # リスト要素と対象値の差分を計算し最小値のインデックスを取得
    idx = np.abs(np.asarray(list) - num).argmin()
    return list[idx]


n = int(input())
a = list(map(int, input().split()))
ma = max(a)
h = getNearestValue(a, ma//2)
if h == ma:
    h = 0
print(ma, h)
Buggy python submission (verdict: Runtime Error):
s = input()
if s.sort() == "abc":
  print("Yes")
else:
  print("No")

Fixed submission:
s = list(input())
if "".join(sorted(s)) == "abc":
  print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
n = int(input())
a = list(map(int, input().split()))
a = [0] + a + [0]

d_1 = []
for i in range(1, n+2):
  d_1.append(abs(a[i]-a[i-1]))
d_2 = [0]
for i in range(1, n+1):
  d_2.append(abs(a[i+1]-a[i-1]))

s_d = sum(d_1)
for i in range(1, n+1):
  print(s_d - d_1[i] - d_1[i+1] + d_2[i])


Fixed submission:
n = int(input())
a = list(map(int, input().split()))
a = [0] + a + [0]

d_1 = []
for i in range(1, n+2):
  d_1.append(abs(a[i]-a[i-1]))
d_2 = []
for i in range(1, n+1):
  d_2.append(abs(a[i+1]-a[i-1]))

s_d = sum(d_1)
for i in range(1, n+1):
  print(s_d - d_1[i-1] - d_1[i] + d_2[i-1])

Buggy python submission (verdict: Runtime Error):
n = int(input())
a = list(map(int, input().split()))
a = [0] + a + [0]

d_1 = []
for i in range(1, n+2):
  d_1.append(abs(a[i]-a[i-1]))
d_2 = []
for i in range(1, n+1):
  d_2.append(abs(a[i+1]-a[i-1]))

s_d = sum(d_1)
for i in range(1, n+1):
  print(s_d - d_1[i] - d_1[i+1] + d_2[i])

Fixed submission:
n = int(input())
a = list(map(int, input().split()))
a = [0] + a + [0]

d_1 = []
for i in range(1, n+2):
  d_1.append(abs(a[i]-a[i-1]))
d_2 = []
for i in range(1, n+1):
  d_2.append(abs(a[i+1]-a[i-1]))

s_d = sum(d_1)
for i in range(1, n+1):
  print(s_d - d_1[i-1] - d_1[i] + d_2[i-1])
Buggy python submission (verdict: Runtime Error):
a, b = input().split()
c = 0
for i in range(int(a), int(b)+1):
  if i[0] == i[4] and i[1] == i[3]:
    c += 1
print(c)

Fixed submission:
a, b = map(int, input().split())
c = 0
for i in range(a, b+1):
    i = str(i)
    if i[0] == i[4] and i[1] == i[3]:
        c += 1
print(c)

Buggy python submission (verdict: Runtime Error):
a, b = input().split()
c = 0
for i in range(a, b+1):
  if i[0] == i[4] and i[1] == i[3]:
    c += 1
print(c)

Fixed submission:
a, b = map(int, input().split())
c = 0
for i in range(a, b+1):
    i = str(i)
    if i[0] == i[4] and i[1] == i[3]:
        c += 1
print(c)

Buggy python submission (verdict: Runtime Error):
a, b = map(int, input().split())
c = 0
for i in range(a, b+1):
  if i[0] == i[4] and i[1] == i[3]:
    c += 1
print(c)

Fixed submission:
a, b = map(int, input().split())
c = 0
for i in range(a, b+1):
    i = str(i)
    if i[0] == i[4] and i[1] == i[3]:
        c += 1
print(c)
Buggy python submission (verdict: Time Limit Exceeded):
n, h = map(int, input().split())
h2 = h
l = []
for i in range(n):
  l.append(list(map(int,input().split())))

l_b = sorted(l, key=lambda x: x[1])
l = sorted(l_b, reverse=True, key=lambda x: x[0])
c_a = 0
c_b = 0
b_sum = 0

for i in range(n-1, -1, -1):
  if l_b[i][1] >= l[0][0]:
    b_sum += l_b[i][1]
    h -= l_b[i][1]
    c_b += 1
    if h <= 0:
      print(c_b)
      exit()

while h2 > b_sum:
  h2 -= l[0][0]
  c_a += 1

print(c_a+c_b)


Fixed submission:
n, h = map(int, input().split())
h2 = h
l = []
for i in range(n):
  l.append(list(map(int,input().split())))

l_b = sorted(l, key=lambda x: x[1])
l = sorted(l_b, reverse=True, key=lambda x: x[0])
c_a = 0
c_b = 0
b_sum = 0

for i in range(n-1, -1, -1):
  if l_b[i][1] >= l[0][0]:
    b_sum += l_b[i][1]
    h -= l_b[i][1]
    c_b += 1
    if h <= 0:
      print(c_b)
      exit()
import math
c_a = math.ceil((h2 - b_sum) / l[0][0])


print(c_a+c_b)

Buggy python submission (verdict: Runtime Error):
n, h = map(int, input().split())
l = []
for i in range(n):
  l.append(list(map(int,input().spplit())))

l = sorted(l, reverse=True)
c = 0
for i in range(1, n):
  if l[i][1] > l[0][0]:
    h -= l[i][1]
    c += 1
    if h <= 0:
      print(c)
      exit()

while h > l[0][1]:
  h -= l[0][0]
  c += 1

print(c+1)


Fixed submission:
n, h = map(int, input().split())
h2 = h
l = []
for i in range(n):
  l.append(list(map(int,input().split())))

l_b = sorted(l, key=lambda x: x[1])
l = sorted(l_b, reverse=True, key=lambda x: x[0])
c_a = 0
c_b = 0
b_sum = 0

for i in range(n-1, -1, -1):
  if l_b[i][1] >= l[0][0]:
    b_sum += l_b[i][1]
    h -= l_b[i][1]
    c_b += 1
    if h <= 0:
      print(c_b)
      exit()
import math
c_a = math.ceil((h2 - b_sum) / l[0][0])


print(c_a+c_b)
Buggy python submission (verdict: Runtime Error):
data = sorted(list(range(10**5+1)))
prime_bool = [True]*(10**5+1)
prime_bool[0] = False
 
for i in range(len(data)):
  p = data[i]
  if prime_bool[p]:
    k = 2
    while k*p <= max(a):
      prime_bool[k*p] = False
      k += 1

count_list = [0]*(10**5+1)
for i in range(1, 10**5+1):
  count_list[i] = count_list[i-1]
  if prime_bool[i] and prime_bool[(i+1)//2]:
    count_list[i] += 1

q = int(input())
for i in range(q):
  l,r=map(int, input().split())
  print(count_list[r]-count_list[l-1])
  

Fixed submission:
data = sorted(list(range(10**5+1)))
prime_bool = [True]*(10**5+1)
prime_bool[0] = False
prime_bool[1] = False
for i in range(2, len(data)):
  p = data[i]
  if prime_bool[p]:
    k = 2
    while k*p <= 10**5:
      prime_bool[k*p] = False
      k += 1

count_list = [0]*(10**5+1)
for i in range(1, 10**5+1):
  count_list[i] = count_list[i-1]
  if prime_bool[i] and prime_bool[(i+1)//2]:
    count_list[i] += 1

q = int(input())
for i in range(q):
  l,r=map(int, input().split())
  print(count_list[r]-count_list[l-1])
Buggy python submission (verdict: Runtime Error):
n, k = map(int, input().split())
a =list(map(int, input().split()))
ball = 0
count = [0]*(n+1)
for i in range(n):
    count[a[i]] += 1

count = count.sorted(reverse=True)
for i in range(k):
    ball += count[i]

print(n - ball)



Fixed submission:
n, k = map(int, input().split())
a =list(map(int, input().split()))
ball = 0
count = [0]*(n+1)
for i in range(n):
    count[a[i]] += 1

count.sort(reverse=True)
for i in range(k):
    ball += count[i]

print(n - ball)
Buggy python submission (verdict: Runtime Error):
import math
n, m = map(int, input().split())
s = 0
p = [0.0]
k = 1
s_old = -1.0
while s - s_old >= 0.0000001:
    pr = (1 - sum(p)) / (2**m)
    p.append(pr)
    s_old = s
    s += (1900 * m + 100 * (n - m)) * k * pr
    k += 1
print(math.ceil(s))


Fixed submission:
x, y = input().split()
if x > y:
    print(">")
elif x < y:
    print("<")
else:
    print("=")
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()
b.sort()
c.sort()
b_ceil = [n]*len(b)
b_floor = [n]*len(b)
count = 0
for i in range(len(b)):
    for j in range(len(a)):
        if a[j] >= b[i]:
            b_ceil[i] = j
            break
    for k in range(len(c)):
        if b[i] < c[k]:
            b_floor[i] = n-k
            break
    count += b_ceil[i] * b_floor[i]

print(count)

Fixed submission:
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()
b_ceil = [n]*len(b)
b_ceil.insert(0, 0)
b_floor = [n]*len(b)
b_floor.insert(0, 0)
count = 0
for i in range(len(b)):
    for j in range(b_ceil[i], len(a)):
        if a[j] >= b[i]:
            b_ceil[i+1] = j
            break
    for k in range(b_floor[i], len(c)):
        if b[i] < c[k]:
            b_floor[i+1] = k
            break
    count += b_ceil[i+1] * (n - b_floor[i+1])

print(count)
Buggy python submission (verdict: Runtime Error):
s = input()
t = input()
if len(s) < len(t):
  print("UNRESTORABLE")
  exit()

start = -1
for i in range(len(s)-len(t)+1):
  for j in range(len(t)):
    if s[i+j] != "?" and s[i+j] != t[j]:
      break
  else:
    start = i

if start == -1:
  print("UNRESTORABLE")
else:
  ans_list = list(s)
  for i in range(len(ans_list)):
    if start <= i <= start+len(t):
      ans_list[i] = t[i-start]
    elif ans_list[i] == "?":
      ans_list[i] = "a"
  print("".join(ans_list))
    
    

Fixed submission:
s = input()
t = input()
if len(s) < len(t):
  print("UNRESTORABLE")
  exit()

start = -1
for i in range(len(s)-len(t)+1):
  for j in range(len(t)):
    if s[i+j] != "?" and s[i+j] != t[j]:
      break
  else:
    start = i

if start == -1:
  print("UNRESTORABLE")
else:
  ans_list = list(s)
  for i in range(len(ans_list)):
    if start <= i < start+len(t):
      ans_list[i] = t[i-start]
    elif ans_list[i] == "?":
      ans_list[i] = "a"
  print("".join(ans_list))
Buggy python submission (verdict: Runtime Error):
n = int(input())
k = int(input())
x = list(map(int, input()))
d = 0
for i in x:
    d += min(i, k-i) * 2

print(d)

Fixed submission:
n = int(input())
k = int(input())
x = list(map(int, input().split()))
d = 0
for i in x:
    d += min(i, k-i) * 2

print(d)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
s = input()
while True:
  c = 0
  for i in range(len(s)):
    if s[i] == "(":
      c += 1
    else:
      c -= 1
    if c < 0:
      s = "(" + s
      break
  if c > 0:
    s = s + ")"
  if c == 0:
    print(s)
  


Fixed submission:
n = int(input())
s = input()
while True:
  c = 0
  for i in range(len(s)):
    if s[i] == "(":
      c += 1
    else:
      c -= 1
    if c < 0:
      s = "(" + s
      break
  if c > 0:
    s = s + ")"
  if c == 0:
    print(s)
    break
Buggy python submission (verdict: Runtime Error):
n,k=map(int,input().split())
l = []
for i in range(n):
  a,b=map(int,input().split())
  l.append((a,b))
l = sorted(l)
c = 0
i = 0
while c < k:
  c += l[i][1]
  i += 1

print(l[i][1])

Fixed submission:
n,k=map(int,input().split())
l = []
for i in range(n):
  a,b=map(int,input().split())
  l.append((a,b))
l = sorted(l)
c = 0
i = 0
while c < k:
  c += l[i][1]
  i += 1

print(l[i-1][0])
Buggy python submission (verdict: Runtime Error):
a,b,c=map(int,input().split())
for i in range(1, b+1):
  a%b * i % b == c:
    print("YES")
    break
else:
  print("NO")

Fixed submission:
a,b,c=map(int,input().split())
for i in range(1, b+1):
  if a%b * i % b == c:
    print("YES")
    break
else:
  print("NO")
Buggy python submission (verdict: Runtime Error):
n=int(input())
d = {}
for i in range(26):
  d[chr(ord("a")+i)]=10**9
for i in range(n):
  s=input()
  for j in range(26):
    d[chr(ord("a")+i)]=min(d[chr(ord("a")+i)], s.count(chr(ord("a")+i)))

ans = ""
for e in d.items():
  ans+=e[0]*e[1]
print(ans)
  
  

Fixed submission:
n=int(input())
d = {}
for i in range(26):
  d[chr(ord("a")+i)]=10**9
for i in range(n):
  s=input()
  for j in range(26):
    d[chr(ord("a")+j)]=min(d[chr(ord("a")+j)], s.count(chr(ord("a")+j)))

ans = ""
for e in d.items():
  ans+=e[0]*e[1]
print(ans)
Buggy python submission (verdict: Runtime Error):
# Dは距離　Tは制限時間　速度はS
D = int(input())
T = int(input())
S = int(input())
if D > T * S:
    print("No")
else:
    print("Yes")

Fixed submission:
# Dは距離　Tは制限時間　速度はS
Information_Lists = input().split()
#.split("文字列")で、文字列ごとに分けることができる。"文字列"を入れないとスペースで分けられる。
D = int(Information_Lists[0])
T = int(Information_Lists[1])
S = int(Information_Lists[2])
if D > T * S:
    print("No")
else:
    print("Yes")
Buggy python submission (verdict: Runtime Error):
A = input()
if A == "S"
	print("天気が雨である日が連続していた最大の日数を出力せよ。")
if A = "SSS"
	print(0)
if A == "RSS" or "SRS" or "SSR" or "RSR":
  print(1)
if A == "SRR" or "RRS":
  print(2)
if A == "RRR":
  print(3)

Fixed submission:
A = input()
if A == "SSS":
	print(0)
elif A == "RRR":
  print(3)  
elif A ==  "SRR" or A == "RRS":
  print(2)
else:
  print(1)

Buggy python submission (verdict: Runtime Error):
A = input("")
if A == "S"
	print("天気が雨である日が連続していた最大の日数を出力せよ。")
if A = "SSS"
	print(0)
if A == "RSS" or "SRS" or "SSR" or "RSR":
  print(1)
if A == "SRR" or "RRS":
  print(2)
if A == "RRR":
  print(3)

Fixed submission:
A = input()
if A == "SSS":
	print(0)
elif A == "RRR":
  print(3)  
elif A ==  "SRR" or A == "RRS":
  print(2)
else:
  print(1)
Buggy python submission (verdict: Runtime Error):
n,s=map(int,input().split())

count=n//(2*d+1)

if n%(2*d+1)==0:
    print(count)
else:
    print(count+1)

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

count=n//(2*s+1)

if n%(2*s+1)==0:
    print(count)
else:
    print(count+1)
Buggy python submission (verdict: Runtime Error):
S1,S2,S3,S4=list(map(int,input().split()))

if S1 == S2 or S2 == S3 or S3 == S4:
    print('Bad')
else:
    print('Good')

Fixed submission:
S = input()

if S[0] == S[1] or S[1] == S[2] or S[2] ==S[3]:
    print('Bad')
else:
    print('Good')
Buggy python submission (verdict: Time Limit Exceeded):
a,b=map(int,input().split())
import sys
ans=1

for i in range(a,b+1):
    if i == 0:
        print('Zero')
        sys.exit()
    ans*=i
    
if 0 < ans:
    print('Positive')
elif ans == 0:
    print('Zero')
else:
    print('Negative')

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

if 0<a<b:
    print('Positive')

elif a<=0<=b:
    print('Zero')

elif (b-a)%2==0:
    print('Negative')
else:
    print('Positive')

Buggy python submission (verdict: Time Limit Exceeded):
a,b=map(int,input().split())

ans=1
for i in range(a,b+1):
    ans*=i
    
if 0 < ans:
    print('Positive')
elif ans == 0:
    print('Zero')
else:
    print('Negative')

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

if 0<a<b:
    print('Positive')

elif a<=0<=b:
    print('Zero')

elif (b-a)%2==0:
    print('Negative')
else:
    print('Positive')
Buggy python submission (verdict: Time Limit Exceeded):
import functools
import operator
n = int(input())
l = input().split()
m = []
for i in range(n):
    m.append(int(l[i]))
ans = functools.reduce(operator.mul, m)
if ans <= 10**18:
    print(ans)
else:
    print(-1)


Fixed submission:
n = int(input())
l = input().split()
ans = 1
T = True
for i in range(n):
    if l[i] == '0':
        ans = 0
        break
if ans != 0:
    for i in range(n):
        if ans <= 10**18:
            ans = ans * int(l[i])
        else:
            T = False
            break
if False:
    print(-1)
elif ans > 10**18:
    print(-1)
else:
    print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
l = input().split()
ans = 1
for i in range(n):
    ans = ans * int(l[i])
if ans <= 10**18:
    print(ans)
else:
    print(-1)


Fixed submission:
n = int(input())
l = input().split()
ans = 1
T = True
for i in range(n):
    if l[i] == '0':
        ans = 0
        break
if ans != 0:
    for i in range(n):
        if ans <= 10**18:
            ans = ans * int(l[i])
        else:
            T = False
            break
if False:
    print(-1)
elif ans > 10**18:
    print(-1)
else:
    print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
L = input()
L = L[::-1]
len_L = len(L)
ans = 1
count = 0
for i, c in enumerate(L):
    if c == "1":
        ans *= 2
        ans += 3 ** i
        ans %= (10**9 + 7)

print(ans)


Fixed submission:
M = 10**9 + 7

L = input()
L = L[::-1]
len_L = len(L)
ans = 1
count = 0
array_3 = [1]
for _ in range(len(L)):
    array_3.append((array_3[-1] * 3) % M)
for i, c in enumerate(L):
    if c == "1":
        ans *= 2
        ans += array_3[i]
        ans %= M

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import heapq

N, M = list(map(int, input().split()))
A = list(map(int, input().split()))
heapq.heapify(A)
for _ in range(M):
    b, c = list(map(int, input().split()))
    for i in range(b):
        if A[0] < c:
            heapq.heappop(A)
            heapq.heappush(A, c)
        else:
            break
print(sum(A))


Fixed submission:
N, M = list(map(int, input().split()))
A = list(map(int, input().split()))
D = []
for _ in range(M):
    d = list(map(int, input().split()))
    D.append(d)

A.sort()
D.sort(key=lambda x:x[1], reverse=True)
NewCard = []
for d in D:
    b, c = d
    NewCard += [c] * b
    if(len(NewCard) > N):
        break

i = 0
len_min = min(len(A), len(NewCard))
while i < len_min:
    if A[i] >= NewCard[i]:
        break
    i += 1

print(sum(NewCard[:i]) + sum(A[i:]))
Buggy python submission (verdict: Runtime Error):
import math
print(math.gcd(2, 5))

Fixed submission:
from fractions import gcd as GCD

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

# GCD_LtoR[i] = GCD(A0, A1, ... , A(i-1))
GCD_LtoR = [None] * N
# GCD_LtoR[i] = GCD(Ai, A(i+1), ... , AN)
GCD_RtoL = [None] * N

GCD_LtoR[0] = A[0]
for i in range(1, N):
    GCD_LtoR[i] = GCD(A[i], GCD_LtoR[i-1])

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

GCD_max = GCD_RtoL[1]
for i in range(0, N-1):
    # Aに含まれるAi以外の要素のGCDを計算する
    GCD_ex_i = GCD(GCD_LtoR[i-1], GCD_RtoL[i+1])
    GCD_max = max(GCD_ex_i, GCD_max)
GCD_max = max(GCD_LtoR[N-2], GCD_max)
print(GCD_max)

Buggy python submission (verdict: Runtime Error):
from math import gcd as GCD

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

# GCD_LtoR[i] = GCD(A0, A1, ... , A(i-1))
GCD_LtoR = [None] * N
# GCD_LtoR[i] = GCD(Ai, A(i+1), ... , AN)
GCD_RtoL = [None] * N

GCD_LtoR[0] = A[0]
for i in range(1, N):
    GCD_LtoR[i] = GCD(A[i], GCD_LtoR[i-1])

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

GCD_max = GCD_RtoL[1]
for i in range(0, N-1):
    # Aに含まれるAi以外の要素のGCDを計算する
    GCD_ex_i = GCD(GCD_LtoR[i-1], GCD_RtoL[i+1])
    GCD_max = max(GCD_ex_i, GCD_max)
GCD_max = max(GCD_LtoR[N-2], GCD_max)
print(GCD_max)


Fixed submission:
from fractions import gcd as GCD

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

# GCD_LtoR[i] = GCD(A0, A1, ... , A(i-1))
GCD_LtoR = [None] * N
# GCD_LtoR[i] = GCD(Ai, A(i+1), ... , AN)
GCD_RtoL = [None] * N

GCD_LtoR[0] = A[0]
for i in range(1, N):
    GCD_LtoR[i] = GCD(A[i], GCD_LtoR[i-1])

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

GCD_max = GCD_RtoL[1]
for i in range(0, N-1):
    # Aに含まれるAi以外の要素のGCDを計算する
    GCD_ex_i = GCD(GCD_LtoR[i-1], GCD_RtoL[i+1])
    GCD_max = max(GCD_ex_i, GCD_max)
GCD_max = max(GCD_LtoR[N-2], GCD_max)
print(GCD_max)
Buggy python submission (verdict: Time Limit Exceeded):
if __name__ == '__main__':
    N = int(input())
    A = list(map(int, input().split()))
    count = 0


    for k in range(N):
        x = 0
        s = 0
        for i in range(k, N):
            x ^= A[i]
            s += A[i]
            if x == s:
                count += 1

    print(count)


Fixed submission:
if __name__ == '__main__':
    N = int(input())
    A = list(map(int, input().split()))

    count = 1

    l = 0
    r = 1
    x = A[0]
    s = A[0]

    while r < N:
        s += A[r]
        x ^= A[r]
        while s != x:
            s -= A[l]
            x ^= A[l]
            l += 1
        r += 1
        count += r-l

    print(count)
Buggy python submission (verdict: Time Limit Exceeded):
N, M = list(map(int, input().split()))
p = list(map(int, input().split()))

set_list = []
edge = [[] for _ in range(N)]
for i in range(M):
    x, y = list(map(int, input().split()))
    x, y = x-1, y-1

    s1 = None
    s2 = None
    for i, se in enumerate(set_list):
        if x in se:
            s1 = se
            xi = i
        if y in se:
            s2 = se
            yi = i

    if s1 == None:
        if s2 == None:
            set_list.append({x, y})
        else:
            s2.add(x)
    else:
        if s2 == None:
            s1.add(y)
        elif s1 == s2:
            continue
        else:
            s = s1 | s2
            set_list.append(s)
            l = [xi, yi]
            l.sort()
            xi, yi = l
            del set_list[yi]
            del set_list[xi]

count = 0
for i in range(N):
    if p[i] == i+1:
        count += 1
    else:
        for se in set_list:
            if {i, p[i]-1} <= se:
                count += 1
                continue

print(count)


Fixed submission:
def root(R, a):
    if R[a] != a:
        R[a] = root(R, R[a])
    return R[a]

def union(R, x, y):
    a = root(R, x)
    b = root(R, y)
    if a != b:
        R[a] = b


N, M = list(map(int, input().split()))
p = list(map(int, input().split()))

R = [i for i in range(N)]
for i in range(M):
    x, y = list(map(int, input().split()))
    x, y = x-1, y-1
    union(R, x, y)

count = 0
for i in range(N):
    if root(R, i) == root(R, p[i] - 1):
        count += 1

print(count)

Buggy python submission (verdict: Time Limit Exceeded):
N, M = list(map(int, input().split()))
p = list(map(int, input().split()))

set_list = []
edge = [[] for _ in range(N)]
for i in range(M):
    x, y = list(map(int, input().split()))
    x, y = x-1, y-1

    s1 = None
    s2 = None
    for i, se in enumerate(set_list):
        if x in se:
            s1 = se
        if y in se:
            s2 = se

    if s1 == None:
        if s2 == None:
            set_list.append({x, y})
        else:
            s2.add(x)
    else:
        if s2 == None:
            s1.add(y)
        elif s1 == s2:
            continue
        else:
            s = s1 | s2
            set_list.append(s)
            set_list.remove(s1)
            set_list.remove(s2)
count = 0
for i in range(N):
    if p[i] == i+1:
        count += 1
    else:
        for se in set_list:
            if {i, p[i]-1} <= se:
                count += 1
                continue

print(count)


Fixed submission:
def root(R, a):
    if R[a] != a:
        R[a] = root(R, R[a])
    return R[a]

def union(R, x, y):
    a = root(R, x)
    b = root(R, y)
    if a != b:
        R[a] = b


N, M = list(map(int, input().split()))
p = list(map(int, input().split()))

R = [i for i in range(N)]
for i in range(M):
    x, y = list(map(int, input().split()))
    x, y = x-1, y-1
    union(R, x, y)

count = 0
for i in range(N):
    if root(R, i) == root(R, p[i] - 1):
        count += 1

print(count)
Buggy python submission (verdict: Time Limit Exceeded):
def calc_dist(lst):
    s = 0
    lst.insert(0, 0)
    lst.append(0)
    for i in range(len(lst) - 1):
        s += abs(lst[i] - lst[i+1])
    return s

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

for i in range(N):
    lst = A.copy()
    lst.pop(i)
    s = calc_dist(lst)
    print(s)


Fixed submission:
N = int(input())
A = list(map(int, input().split()))
A.append(0)
A.insert(0, 0)

sum = 0

for i in range(len(A) - 1):
    sum += abs(A[i+1] - A[i])

for i in range(N):
    temp = sum
    temp -= (abs(A[i+1] - A[i]) + abs(A[i+2] - A[i+1]))
    temp += abs(A[i+2] - A[i])
    print(temp)
Buggy python submission (verdict: Runtime Error):
n = int(input())
a = list(map(int,input().split()))
MAX = max(a)
ans = 0
maxflg = False
minflg = False
for i in range(n):
    if a[i] == MAX:
        maxflg = True
        if i == 0:
            index = i + 1
        leftMAX = max(a[:index])
    if maxflg:
        ans += MAX - a[i]

for i in range(n):
    if a[i] == MAX:
        break
    else:
        ans += leftMAX - a[i] 
print(ans)

Fixed submission:
n = int(input())
a = list(map(int,input().split()))
ans = 0
for i in range(n-1):
    if a[i] <= a[i+1]:
        pass
    else:
        ans += a[i] - a[i+1]
        a[i+1] = a[i]
print(ans)
Buggy python submission (verdict: Runtime Error):
s = input()
cnt = 0
ans = []
for i in range(3):
  if s[i] == 'R':
    cnt+=1
    ans.append(cnt)
  else:
    cnt = 0
print(max(ans))

Fixed submission:
s = input()
cnt = 0
ans = [0]
for i in range(3):
  if s[i] == 'R':
    cnt+=1
    ans.append(cnt)
  else:
    cnt = 0
print(max(ans))
Buggy python submission (verdict: Runtime Error):
n = int(input())
ans = ''
while n > 0:
    n -= 1
    ans += chr(97 + n%26)
    n //= 26
print(ans[::-1])

Fixed submission:
a = input()
if a.isupper():
    print('A')
else:
    print('a')