Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
# input
N = int(input())
Ps = list(map(float, input().split()))

# probs[i][k] : コインiまでを投げて表がk枚出る確率
probs = [[None for _ in range(N+1)] for _ in range(N)]

probs[0][1] = Ps[0]
probs[0][0] = 1 - Ps[0]
for i in range(2, N+1):
  probs[0][i] = 0

sum_all = 0
sum_ok  = 0
start = int(N/2) + 1

for i in range(1, N):
  for k in range(0, N+1):
    if k == 0:
      probs[i][k] = probs[i-1][k]*(1-Ps[i])
    else:
      probs[i][k] = probs[i-1][k-1]*Ps[i] + probs[i-1][k]*(1-Ps[i])
    if i == N - 1:
      sum_all += probs[i][k]
      if k >= start:
        sum_ok += probs[i][k]


# print(probs)

# sum_all = sum(probs[N-1])
# sum_ok = 0

# start = int(N/2) + 1
# for i in range(start, N+1):
#   sum_ok += probs[N-1][i]

print(sum_ok / sum_all)


Fixed submission:
# input
N = int(input())
Ps = list(map(float, input().split()))

# probs[i][k] : コインiまでを投げて表がk枚出る確率
probs = [[0 for _ in range(N+1)] for _ in range(N)]

probs[0][1] = Ps[0]
probs[0][0] = 1 - Ps[0]
# for i in range(2, N+1):
#   probs[0][i] = 0

for i in range(1, N):
  for k in range(0, N+1):
    if k == 0:
      probs[i][k] = probs[i-1][k]*(1-Ps[i])
    else:
      probs[i][k] = probs[i-1][k-1]*Ps[i] + probs[i-1][k]*(1-Ps[i])

# print(probs)

sum_all = sum(probs[N-1])
sum_ok = 0

start = int(N/2) + 1
for i in range(start, N+1):
  sum_ok += probs[N-1][i]

print(sum_ok / sum_all)

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

probs = [[None for _ in range(N+1)] for _ in range(N)]

probs[0][1] = Ps[0]
probs[0][0] = 1 - Ps[0]
for i in range(2, N+1):
  probs[0][i] = 0

for i in range(1, N):
  for k in range(0, N+1):
    if k == 0:
      probs[i][k] = probs[i-1][k]*(1-Ps[i])
    else:
      probs[i][k] = probs[i-1][k-1]*Ps[i] + probs[i-1][k]*(1-Ps[i])

# print(probs)

sum_all = sum(probs[N-1])
sum_ok = 0

start = int(N/2) + 1
for i in range(start, N+1):
  sum_ok += probs[N-1][i]

print(sum_ok / sum_all)

Fixed submission:
# input
N = int(input())
Ps = list(map(float, input().split()))

# probs[i][k] : コインiまでを投げて表がk枚出る確率
probs = [[0 for _ in range(N+1)] for _ in range(N)]

probs[0][1] = Ps[0]
probs[0][0] = 1 - Ps[0]
# for i in range(2, N+1):
#   probs[0][i] = 0

for i in range(1, N):
  for k in range(0, N+1):
    if k == 0:
      probs[i][k] = probs[i-1][k]*(1-Ps[i])
    else:
      probs[i][k] = probs[i-1][k-1]*Ps[i] + probs[i-1][k]*(1-Ps[i])

# print(probs)

sum_all = sum(probs[N-1])
sum_ok = 0

start = int(N/2) + 1
for i in range(start, N+1):
  sum_ok += probs[N-1][i]

print(sum_ok / sum_all)
Buggy python submission (verdict: Time Limit Exceeded):
S = [input() for _ in range(int(input()))]
T = set(S)
cnt =0
ans = dict()
for t in T:
    li = S.count(t)
    ans[t] = li
    cnt = max(cnt,li)
ans = sorted(ans.items(),reverse=True, key=lambda x:x[1])
key = sorted([k for k,v in ans if v == cnt])
for a in key:print(a)

Fixed submission:
S = [input() for _ in range(int(input()))]
from collections import Counter
ctr = Counter(S)
n = ctr.most_common()[0][1]#一番頻度の高い
ans = []

for k,v in ctr.items():
    if v == n:ans.append(k)
ans.sort()
print(*ans,sep="\n")
Buggy python submission (verdict: Runtime Error):
n = int(input())
g = [[-1 for j in range(n)] for i in range(n)]

for i in range(n):
    for _ in range(int(input())):
        x,y = map(int,input().split())
        g[i][x-1] = y

ans = 0
for s in range(2**n):#bit全探索
    ok = True
    for i in range(n):#行ごとのfor
        if (s>>i&1) == 1:#iが正直者であったら
            for j in range(n):#列の要素のfor,iの言っていることが矛盾がないか確かめる
                if g[i][j] == -1:continue
                if (s>>j&1) != g[i][j]:ok = False#breakにしないのは、breakでは抜けきれないから
    if ok:
        t = str(bin(x)).count("1")
        ans = max(ans,t)
print(ans)

Fixed submission:
n = int(input())
 
g = [[-1 for j in range(n)] for i in range(n)]
 
for i in range(n):
	a = int(input())
	for _ in range(a):
		x, y = map(int, input().split())
		g[i][x-1] = y
 
ans = 0
for s in range(2**n):
    ok = True
    for i in range(n):
        if (s>>i&1) == 1:
            for j in range(n):
                if g[i][j] == -1: continue
                if (s>>j&1) != g[i][j]: ok = False
    if ok:#あっているなら、ビット内に何個1があるかを数える
        #print("s = ", s)
        t = 0
        x = s#xを変えてもsは変化しない
        t = str(bin(x)).count("1")
        ans = max(ans, t)
print(ans)

Buggy python submission (verdict: Runtime Error):
n = int(input())
g = [[-1 for j in range(n)] for i in range(n)]

for i in range(n):
    for _ in range(int(input())):
        x,y = map(int,input().split())
        q[i][x-1] = y

ans = 0
for s in range(2**n):
    ok = True
    for i in range(n):
        if (s>>i&1) == 1:
            for j in range(n):
                if g[i][j] == -1:continue
                if (s>>j&1) != g[i][j]:ok = False
    if ok:
        t = str(bin(x)).count("1")
        ans = max(ans,t)
print(ans)

Fixed submission:
n = int(input())
 
g = [[-1 for j in range(n)] for i in range(n)]
 
for i in range(n):
	a = int(input())
	for _ in range(a):
		x, y = map(int, input().split())
		g[i][x-1] = y
 
ans = 0
for s in range(2**n):
    ok = True
    for i in range(n):
        if (s>>i&1) == 1:
            for j in range(n):
                if g[i][j] == -1: continue
                if (s>>j&1) != g[i][j]: ok = False
    if ok:#あっているなら、ビット内に何個1があるかを数える
        #print("s = ", s)
        t = 0
        x = s#xを変えてもsは変化しない
        t = str(bin(x)).count("1")
        ans = max(ans, t)
print(ans)
Buggy python submission (verdict: Runtime Error):
n = int(input())
L = sorted(list(map(int,input().split())))
cnt = 0
for i in range(n):
    for j in range(i+1,n):
        a,b = L[i],L[j]
        cnt += sum(abs(a-b)< l < a+b for l in L if l != a and l != b)
print(cnt//3)

Fixed submission:
a,b =map(int,input().split())
print(max(a-2*b,0))
Buggy python submission (verdict: Runtime Error):
from math import factorial
n,k = map(int, input().split())
mod = 10**9+7
def comb(n,r):
    return factorial(n) // (factorial(r) * factorial(n - r))
# a = comb(n, r)
for i in range(1,k+1):
    if n -k + 1 >= i :
        a = comb(n-k+1,i)
        b = comb(k-1,i-1)
        print((a*b)%mod)
    else:
        print(0)

Fixed submission:
s = str(input())
s1 = set(s)
s2 = list(s)
cnt = 0
if len(s1) != 2:
    print("No")
else:
    for i in range(1,len(s2)):
        if s[0] == s[i]:
            cnt += 1
    if cnt == 1:
        print("Yes")
    else:
        print("No")

Buggy python submission (verdict: Runtime Error):
n,k = map(int, input().split())
mod = 10**9+7
nCr = {}
def cmb(n, r):
    if r == 0 or r == n: return 1
    if r == 1: return n
    if (n,r) in nCr: return nCr[(n,r)]
    nCr[(n,r)] = cmb(n-1,r) + cmb(n-1,r-1)
    return nCr[(n,r)]

for i in range(1,k+1):
        a = cmb(n-k+1,i)
        b = cmb(k-1,i-1)
        print((a*b)%mod)

Fixed submission:
s = str(input())
s1 = set(s)
s2 = list(s)
cnt = 0
if len(s1) != 2:
    print("No")
else:
    for i in range(1,len(s2)):
        if s[0] == s[i]:
            cnt += 1
    if cnt == 1:
        print("Yes")
    else:
        print("No")

Buggy python submission (verdict: Runtime Error):
from math import factorial
n,k = map(int, input().split())
mod = 10**9+7
# a = comb(n, r)
for i in range(1,k+1):
    if n-k+1 < i:
        print(0)
    else:
        a = factorial(n-k+1) //factorial(i) //factorial(n-k+1 - i)
        print((a*(i**(k-i)))%mod)

Fixed submission:
s = str(input())
s1 = set(s)
s2 = list(s)
cnt = 0
if len(s1) != 2:
    print("No")
else:
    for i in range(1,len(s2)):
        if s[0] == s[i]:
            cnt += 1
    if cnt == 1:
        print("Yes")
    else:
        print("No")

Buggy python submission (verdict: Runtime Error):
n = int(input())
p = set(map(int, input().split()))
p = list(p)
p.sort()
if len(p) % 2 == 1 and n % 2 == 1:
    print(0)
else:
    p = list(p)
    cnt = p[len(p)//2] - p[len(p)//2 -1]
    print(cnt)

Fixed submission:
s = str(input())
s1 = set(s)
s2 = list(s)
cnt = 0
if len(s1) != 2:
    print("No")
else:
    for i in range(1,len(s2)):
        if s[0] == s[i]:
            cnt += 1
    if cnt == 1:
        print("Yes")
    else:
        print("No")
Buggy python submission (verdict: Runtime Error):
e = list(map(int,input().split()))
a,b,c,d = e

def gcd(x,y):
    while y !=0:
        x,y = y,x%y
    return x

def sums(x):
    S1 = x//c
    S2 = x//d
    S3 = x// (c*d//gcd(c,d))
    return x - S1 - S2 + S3


print(sums(b)-sums(a-1))

Fixed submission:
s = str(input())
s = list(s)
if s[0] == s[1] or s[1] == s[2] or s[2] == s[3]:
    print("Bad")
else:
    print("Good")

Buggy python submission (verdict: Runtime Error):
e = list(map(int,input().split()))
a = e[0]
b = e[1]
c = e[2]
d = e[3]
cnt = 0
for j in range(a,b+1):
    if j%c != 0 and j%d != 0:
        cnt += 1
    else:
        pass
print(cnt)

Fixed submission:
s = str(input())
s = list(s)
if s[0] == s[1] or s[1] == s[2] or s[2] == s[3]:
    print("Bad")
else:
    print("Good")

Buggy python submission (verdict: Runtime Error):
e = list(map(int,input().split()))
a = e[0]
b = e[1]
c = e[2]
d = e[3]
cnt = 0
for j in range(a,b+1):
    if j%c != 0 and j%d != 0:
        cnt += 1
print(cnt)

Fixed submission:
s = str(input())
s = list(s)
if s[0] == s[1] or s[1] == s[2] or s[2] == s[3]:
    print("Bad")
else:
    print("Good")

Buggy python submission (verdict: Runtime Error):
e = list(map(int,input().split()))
a = e[0]
b = e[1]
c = e[2]
d = e[3]
cnt = 0
t = [j for j in range(a,b+1) if j%c != 0 and j%d != 0]

for i in t:
    if (i//c-i/c != 0) and (i//d-i/d != 0):
        cnt += 1
    else:
        pass
print(cnt)

Fixed submission:
s = str(input())
s = list(s)
if s[0] == s[1] or s[1] == s[2] or s[2] == s[3]:
    print("Bad")
else:
    print("Good")

Buggy python submission (verdict: Runtime Error):
e = list(map(int,input().split()))
a = e[0]
b = e[1]
c = e[2]
d = e[3]

cnt = 0
for i in range(a,b+1):
    if (int(i/c)-i/c != 0) and (int(i/d)-i/d != 0):
        cnt += 1

print(cnt)

Fixed submission:
s = str(input())
s = list(s)
if s[0] == s[1] or s[1] == s[2] or s[2] == s[3]:
    print("Bad")
else:
    print("Good")
Buggy python submission (verdict: Runtime Error):
c=list(map(int, input().split()))

W = c[0]
H = c[1]
x = c[2]
y = c[3]



if W*y < W*H / 2:
    S1 = W*y
elif W*y == W*H / 2:
    S1 = int(W*y)
else:
    S1 = W*H - W*y

if H*x < W*H / 2:
    S2 = H*x
elif H*x == W*H / 2:
    S2 = int(H*x)
else:
    S2 = W*H - H*x

if S1 < S2:
    Sm = S2
    co = 0
elif S1 > S2:
    Sm = S1
    co = 0
else:
    Sm = S1
    co = 1
    
print(Sm,co)

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

if x < a:
    print(0)
else:
    print(10)

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

W = c[0]
H = c[1]
x = c[2]
y = c[3]



if W*y < W*H / 2:
    S1 = W*y
elif W*y == W*H / 2:
    pass
else:
    S1 = W*H - W*y

if H*x < W*H / 2:
    S2 = H*x
elif H*x == W*H / 2:
    pass
else:
    S2 = W*H - H*x

if S1 < S2:
    Sm = S2
    co = 0
elif S1 > S2:
    Sm = S1
    co = 0
else:
    Sm = S1
    co = 1
    
print(Sm,co)

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

if x < a:
    print(0)
else:
    print(10)

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

W = c[0]
H = c[1]
x = c[2]
y = c[3]



if W*y <= W*H / 2:
    S1 = W*y
else:
    S1 = W*H - W*y

if H*x <= W*H / 2:
    S2 = H*x
else:
    S2 = W*H - H*x

if S1 < S2:
    Sm = S2
    co = 0
elif S1 > S2:
    Sm = S1
    co = 0
else:
    Sm = S1
    co = 1
    
print(float(Sm),co)

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

if x < a:
    print(0)
else:
    print(10)

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

W = c[0]
H = c[1]
x = c[2]
y = c[3]



if W*y <= float(W*H)/2:
    S1 = W*y
else:
    S1 = W*H - W*y

if H*x <= float(W*H)/2:
    S2 = H*x
else:
    S2 = W*H - H*x

if S1 < S2:
    Sm = S2
    co = 0
elif S1 > S2:
    Sm = S1
    co = 0
else:
    Sm = S1
    co = 1
    
print(Sm,co)

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

if x < a:
    print(0)
else:
    print(10)

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

W = c[0]
H = c[1]
x = c[2]
y = c[3]



if W*y <= float((W*H)/2):
    S1 = W*y
else:
    S1 = W*H - W*y

if H*x <= float((W*H)/2):
    S2 = H*x
else:
    S2 = W*H - H*x

if S1 < S2:
    Sm = S2
    co = 0
elif S1 > S2:
    Sm = S1
    co = 0
else:
    Sm = S1
    co = 1
    
print(Sm,co)

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

if x < a:
    print(0)
else:
    print(10)
Buggy python submission (verdict: Runtime Error):
import sys
n,m = map(int,input().split())

if m > 0:
    broken = set(map(int,sys.stdin))
else:
    broken = set()
    
dp = [0]*(n+1)
dp[0] = 1
dp[1] = 1 if 1 not in broken else 0

MOD = 10**9 + 7

for i in range(2,n+1):
    if i in broken:
        continue
    dp[i] =(dp[i-1]+dp[i-2])% MOD
    
print(dp[n])

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

c.remove(max(c))

print(sum(c))

Buggy python submission (verdict: Runtime Error):
import sys
n,m = map(int,input().split())

if m > 0:
    broken = set(map(int,sys.stdin))
else:
    broken = set()
    
dp = [0]*(n+1)
dp[0] = 1
dp[1] = 1 if 1 not in broken else 0

MOD = 10**9 + 7

for i in range(2,n+1):
    if i in broken:
        continue
    dp[i] =　(dp[i-1]+dp[i-2])% MOD
    
print(dp[-1])

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

c.remove(max(c))

print(sum(c))
Buggy python submission (verdict: Runtime Error):
a = []
n = int(input())
for i in range(n):
    key,value = input().split()
    a.append((key,value,int(i+1)))
a.sort(key=lambda x:(x[0],reverse = not x[1]))
for i in range(n):
    print(a[i][2])

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

p = 3*a + p

pi = p // 2

print(pi)
Buggy python submission (verdict: Time Limit Exceeded):
n,m = map(int,input().split())
cnt = set(range(1,n+1))
for i in range(m):
    l,r = map(int,input().split())
    cnt = cnt&set(i for i in range(l,r+1))
print(len(cnt))

Fixed submission:
n,m = map(int,input().split())
a,b = 1,n
for i in range(m):
    l,r = map(int,input().split())
    a,b = max(a,l),min(b,r)
print(max(b-a+1,0))
Buggy python submission (verdict: Runtime Error):
n,q = map(int,input().split())
s = input()
for i in range(q):
    l,r = map(int,input().split())
    print(s[l-1:r].count("AC"))

Fixed submission:
b = str(input())

if b == "A":
    print("T")
elif b == "T":
    print("A")
elif b == "G":
    print("C")
elif b == "C":
    print("G")
Buggy python submission (verdict: Runtime Error):
n,q = map(int,input().split())
s = input()
count = [0]*n
for i in range(1,n):
    count[i] += count[i-1]
    if s[i-1:i+1] == "AC":count += 1
for i in range(q):
    l,r = map(int,input().split())
    print(count[r-1]-count[l-1])

Fixed submission:
n,q = map(int,input().split())
s = input()
count = [0]*n
for i in range(1,n):
    count[i] += count[i-1]
    if s[i-1:i+1] == "AC":count[i] += 1
for i in range(q):
    l,r = map(int,input().split())
    print(count[r-1]-count[l-1])

Buggy python submission (verdict: Time Limit Exceeded):
n,q = map(int,input().split())
s = input()
for i in range(q):
    l,r = map(int,input().split())
    print(s[l-1:r].count("AC"))

Fixed submission:
n,q = map(int,input().split())
s = input()
count = [0]*n
for i in range(1,n):
    count[i] += count[i-1]
    if s[i-1:i+1] == "AC":count[i] += 1
for i in range(q):
    l,r = map(int,input().split())
    print(count[r-1]-count[l-1])

Buggy python submission (verdict: Time Limit Exceeded):
n,q = map(int,input().split())
s = input()
for i in range(q):
    l,r = map(int,input().split())
    print(s[l-1:r].count("AC"))

Fixed submission:
n,q = map(int,input().split())
s = input()
count = [0]*n
for i in range(1,n):
    count[i] += count[i-1]
    if s[i-1:i+1] == "AC":count[i] += 1
for i in range(q):
    l,r = map(int,input().split())
    print(count[r-1]-count[l-1])

Buggy python submission (verdict: Runtime Error):
n,q = map(int,input().split())
s = input()
for i in range(n):
    l,r = map(int,input().split())
    print(s[l-1:r].count("AC"))

Fixed submission:
n,q = map(int,input().split())
s = input()
count = [0]*n
for i in range(1,n):
    count[i] += count[i-1]
    if s[i-1:i+1] == "AC":count[i] += 1
for i in range(q):
    l,r = map(int,input().split())
    print(count[r-1]-count[l-1])
Buggy python submission (verdict: Runtime Error):
N,M = map(int,input().split())
A = list(map(int,input().split()))
weight = [2,5,5,4,5,6,3,7,6]
dp=[-1]*(N+1)
dp[0] = 0
for i in range(N+1):
    if dp[i] == -1:continue
    for a in A:
        if i+weight[a]<N+1:
            dp[i+weight[a]] = max(dp[i+weight[a]],dp[i]*10+a)
print(dp[-1])

Fixed submission:
#解答例
N,M=map(int,input().split())
A=list(map(int,input().split()))#使える数字の種類
weight=[0,2,5,5,4,5,6,3,7,6]#作るのに何本必要か、また0は作れないので0になっている
dp=[-1]*(N+1)#とりあえずこれくらい確保しておけばok
dp[0]=0#0本では0しか作れない
#dp[i]はちょうどi本で作れる最高の数を入れることにする
for i in range(N+1):#N本あるから、一本ずつ増やしていって最大N本
    for a in A:
        if i+weight[a]<N+1:#今あるi本にa本を加えてもN本を超えないか
            dp[i+weight[a]]=max(dp[i+weight[a]],dp[i]*10+a)#今まで作ったi+weight[a]のときのdpの値と、今作ったdp[i]*10+aの値を比べ、大きい方を格納する
                                                           #なぜdp[i]*10+aになるのかに関しては、右から数字を追加していく場合のみを考えることで、重複せずに全通り試せるから
print(dp[N])

Buggy python submission (verdict: Runtime Error):
#解答例
N,M=map(int,input().split())
A=list(map(int,input().split()))#使える数字の種類
weight=[0,2,5,5,4,5,6,3,7,6]#作るのに何本必要か、また0は作れないので0になっている
dp=[-1]*(N+1)#とりあえずこれくらい確保しておけばok
dp[0]=0#0本では0しか作れない
#dp[i]はちょうどi本で作れる最高の数を入れることにする
for i in range(N+1):#N本あるから、一本ずつ増やしていって最大N本
    if dp[i] == -1:continue
    for a in A:
        if i+weight[a]<N+1:#今あるi本にa本を加えてもN本を超えないか
            dp[i+weight[a]]=max(dp[i+weight[a]],dp[i]*10+a)#今まで作ったi+weight[a]のときのdpの値と、今作ったdp[i]*10+aの値を比べ、大きい方を格納する
                                                           #なぜdp[i]*10+aになるのかに関しては、右から数字を追加していく場合のみを考えることで、重複せずに全通り試せるから
                                                        　 #もし一通りもなかった場合、-1が格納されたままになるため問題がない
print(dp[N])

Fixed submission:
#解答例
N,M=map(int,input().split())
A=list(map(int,input().split()))#使える数字の種類
weight=[0,2,5,5,4,5,6,3,7,6]#作るのに何本必要か、また0は作れないので0になっている
dp=[-1]*(N+1)#とりあえずこれくらい確保しておけばok
dp[0]=0#0本では0しか作れない
#dp[i]はちょうどi本で作れる最高の数を入れることにする
for i in range(N+1):#N本あるから、一本ずつ増やしていって最大N本
    for a in A:
        if i+weight[a]<N+1:#今あるi本にa本を加えてもN本を超えないか
            dp[i+weight[a]]=max(dp[i+weight[a]],dp[i]*10+a)#今まで作ったi+weight[a]のときのdpの値と、今作ったdp[i]*10+aの値を比べ、大きい方を格納する
                                                           #なぜdp[i]*10+aになるのかに関しては、右から数字を追加していく場合のみを考えることで、重複せずに全通り試せるから
print(dp[N])
Buggy python submission (verdict: Runtime Error):
from functools import reduce
from math import gcd
n,x = map(int,input().split())
X = list(map(int,input().split()))
X = [abs(x-X[0]) for x in X]
print(reduce(gcd,X))

Fixed submission:
from functools import reduce
from fractions import gcd
n,x = map(int,input().split())
X = list(map(int,input().split()))
X = [abs(a-x) for a in X]
print(reduce(gcd,X))

Buggy python submission (verdict: Runtime Error):
from functools import reduce
from math import gcd
n,x = map(int,input().split())
X = list(map(int,input().split()))
X = [x-X[0] for x in X]
print(reduce(gcd,X))

Fixed submission:
from functools import reduce
from fractions import gcd
n,x = map(int,input().split())
X = list(map(int,input().split()))
X = [abs(a-x) for a in X]
print(reduce(gcd,X))

Buggy python submission (verdict: Runtime Error):
import numpy as np
n,x = map(int,input().split())
X = list(map(int,input().split()))
a = X[0]
X = np.array(X)
print(np.gcd.reduce(X-a))

Fixed submission:
from functools import reduce
from fractions import gcd
n,x = map(int,input().split())
X = list(map(int,input().split()))
X = [abs(a-x) for a in X]
print(reduce(gcd,X))
Buggy python submission (verdict: Runtime Error):
n = int(input())
print("Yes" if any([4*i+7*j == n for i in range(n//4+1) for j in range(n//7+1)]) else "No")

Fixed submission:
n,k = map(int,input().split())
if n % k == 0:
    print(0)
else:
    print(1)
Buggy python submission (verdict: Runtime Error):
s = list(map(int,input()))
a = s[0]
b = s[1]
c = s[2]
if a + b >= c:
    print("Yes")
else:
    print("No")

Fixed submission:
s = list(map(int,input().split()))
a = s[0]
b = s[1]
c = s[2]
if a + b >= c:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
n = [input() for _ in range(int(input()))]
m = [input() for _ in range(int(input()))]
l = list(set(n))

print(max(0,max([n.count(l[i]) - m.count(l[i]) for i in range(len(n))])))

Fixed submission:
n = [input() for _ in range(int(input()))]
m = [input() for _ in range(int(input()))]
l = list(set(n))

print(max(0,max([n.count(l[i]) - m.count(l[i]) for i in range(len(l))])))
Buggy python submission (verdict: Runtime Error):
a = int(input())
b = int(input())

if(a*b % 2 == 0):
    print("Even")
else:
    print("Odd")

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

if(a*b % 2 == 0):
    print("Even")
else:
    print("Odd")
Buggy python submission (verdict: Runtime Error):
print(len(set(int(input()) for _ in range(int(input())))))

Fixed submission:
s = str(input())
s1 = s.replace("7","8",1)
print(s1)
Buggy python submission (verdict: Runtime Error):
a = [int(input()) for _ in range(int(input()))]
c,s = 1,a[0]
if s != 2 and c < n: c,s = c+1,a[n-1]
print(c if c < n else "-1")

Fixed submission:
n = int(input())
a = [int(input()) for _ in range(n)]
c,s = 1,a[0]
while s != 2 and c < n:c,s = c+1,a[s-1]
print(c if c < n else "-1")
Buggy python submission (verdict: Runtime Error):
#include<iostream>

using namespace std;

int main()
{
    int a,b,c;

    cin >> a >> b >> c;

    if(a <= c && c <= b)
    {
        cout << "Yes";
    }
    else
    {
        cout << "No";
    }
    
}

Fixed submission:
a,b,c = map(int,input().split())
print("Yes" if a<=c<=b else "No")
Buggy python submission (verdict: Runtime Error):
*a, = map(int,input().split())
print(max(a)-min(a))

Fixed submission:
a,b,c = input().split(",")
print(a,b,c)
Buggy python submission (verdict: Runtime Error):
A=list(map(int,input().split()))+[0]
ans=0
for i in range(N):
    eated=max(0,A[i]+A[i-1]-x)
    ans+=eated
    A[i]-=eated
print(ans)

Fixed submission:
N,x=map(int,input().split())
A=list(map(int,input().split()))+[0]
ans=0
for i in range(N):
    eated=max(0,A[i]+A[i-1]-x)
    ans+=eated
    A[i]-=eated
print(ans)
Buggy python submission (verdict: Runtime Error):
s = {c:list(input()) for c in "abc"}
s = "a"
while S[s]:s = S[s].pop(0)
print(s.upper())

Fixed submission:
S={c:list(input()) for c in "abc"}
s="a"
while S[s]:s=S[s].pop(0)
print(s.upper())
Buggy python submission (verdict: Runtime Error):
n,l = map(int,input().split())
S = sorted([input() for _ in range(n)])
print(*S,sep="")

Fixed submission:
n = input().split()
print("YES" if n.count("5") == 2 and n.count("7") == 1 else "NO")