Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
n,m = (int(x) for x in input().split())

E = [[] for i in range(n+1)]

for i in range(m):
    a,b = (int(x) for x in input().split())
    E[a].append(b)
    E[b].append(a)

#print(E)   

flag = [False]*(n+1)
vs = [1]
flag[1] = True
res = [0]*(n+1)

while(vs):
    this_v = vs[0]
    for i in E[this_v]:
        if flag[i]:
            continue
        else:
            res[i] = this_v
            flag[i] = True
            vs.append(i)
    vs.pop(0)
            
print("Yes")
for i in res[2:]:
    print(i)


Fixed submission:
from collections import deque

n,m = (int(x) for x in input().split())

E = [[] for i in range(n+1)]

for i in range(m):
    a,b = (int(x) for x in input().split())
    E[a].append(b)
    E[b].append(a)

#print(E)   

flag = [False]*(n+1)
#vs = [1]
vs = deque([1])

flag[1] = True
res = [0]*(n+1)

while(vs):
    this_v = vs[0]
    for i in E[this_v]:
        if flag[i]:
            continue
        else:
            res[i] = this_v
            flag[i] = True
            vs.append(i)
    vs.popleft()
            
print("Yes")
for i in res[2:]:
    print(i)

Buggy python submission (verdict: Time Limit Exceeded):
n,m = (int(x) for x in input().split())

E = [[] for i in range(n+1)]

for i in range(m):
    a,b = (int(x) for x in input().split())
    E[a].append(b)
    E[b].append(a)

#print(E)   

flag = [False]*(n+1)
vs = [1]
flag[1] = True
res = [0]*(n+1)

while(vs):
    this_v = vs[0]
    for i in E[this_v]:
        if flag[i]:
            continue
        else:
            res[i] = this_v
            flag[i] = True
            vs.append(i)
    vs = vs[1:]
            
print("Yes")
for i in res[2:]:
    print(i)


Fixed submission:
from collections import deque

n,m = (int(x) for x in input().split())

E = [[] for i in range(n+1)]

for i in range(m):
    a,b = (int(x) for x in input().split())
    E[a].append(b)
    E[b].append(a)

#print(E)   

flag = [False]*(n+1)
#vs = [1]
vs = deque([1])

flag[1] = True
res = [0]*(n+1)

while(vs):
    this_v = vs[0]
    for i in E[this_v]:
        if flag[i]:
            continue
        else:
            res[i] = this_v
            flag[i] = True
            vs.append(i)
    vs.popleft()
            
print("Yes")
for i in res[2:]:
    print(i)
Buggy python submission (verdict: Time Limit Exceeded):
from fractions import gcd

k=int(input())
count = 0

for i in range(1,k+1):
    for j in range(i,k+1):
        for l in range(j,k+1):
            if i==j and j==l:
                count += i
            elif i==j:
                x = gcd(i,l)
                count += x*3
            elif j==l:
                x = gcd(i,l)
                count += x*3
            elif l==i:
                x = gcd(i,j)
                count += x*3 
            else:
                x = gcd(i,j)
                x = gcd(x,l)
                count += x*6

print(count)


Fixed submission:
from fractions import gcd

k=int(input())
count = 0

g = {}
for i in range(1,k+1):
    for j in range(i,k+1):
        x = gcd(i,j)
        if i==j:
            y=1
        else:
            y=2
        if x in g:
            g[x] += y
        else:
            g[x] = y
            
for i in g:
    for j in range(1,k+1):
        x = gcd(i,j)
        count += x*g[i]
        
print(count)

Buggy python submission (verdict: Time Limit Exceeded):
from fractions import gcd

k=int(input())
count = 0

for i in range(1,k+1):
    for j in range(i,k+1):
        for l in range(j,k+1):
            if i==j and j==l:
                count += i
            elif i==j:
                x = gcd(i,l)
                count += x*3
            elif j==l:
                x = gcd(i,l)
                count += x*3
            elif l==i:
                x = gcd(i,j)
                count += x*3 
            else:
                x = gcd(i,j)
                x = gcd(x,l)
                count += x*6

print(count)


Fixed submission:
from fractions import gcd

k=int(input())
count = 0

g = {}
for i in range(1,k+1):
    for j in range(i,k+1):
        x = gcd(i,j)
        if i==j:
            y=1
        else:
            y=2
        if x in g:
            g[x] += y
        else:
            g[x] = y
            
for i in g:
    for j in range(1,k+1):
        x = gcd(i,j)
        count += x*g[i]
        
print(count)

Buggy python submission (verdict: Time Limit Exceeded):
from fractions import gcd

k=int(input())
count = 0

for i in range(1,k+1):
    for j in range(i,k+1):
        for l in range(j,k+1):
            x = gcd(i,j)
            x = gcd(x,l)
            if i==j and j==l:
                count += x
            elif i==j or j==l or l==i:
                count += x*3
            else:
                count += x*6

print(count)


Fixed submission:
from fractions import gcd

k=int(input())
count = 0

g = {}
for i in range(1,k+1):
    for j in range(i,k+1):
        x = gcd(i,j)
        if i==j:
            y=1
        else:
            y=2
        if x in g:
            g[x] += y
        else:
            g[x] = y
            
for i in g:
    for j in range(1,k+1):
        x = gcd(i,j)
        count += x*g[i]
        
print(count)
Buggy python submission (verdict: Runtime Error):
a,b,c = (int(x) for x in input().split())


if a==b:
    if a!=c:
        res = "Yes"
    else:
        res = "No"
if c==b:
    if a!=c:
        res = "Yes"
    else:
        res = "No"
if a==c:
    if a!=b:
        res = "Yes"
    else:
        res = "No"
        
print(res)

Fixed submission:
a,b,c = (int(x) for x in input().split())

res = "No"
if a==b:
    if a!=c:
        res = "Yes"
    else:
        res = "No"
if c==b:
    if a!=c:
        res = "Yes"
    else:
        res = "No"
if a==c:
    if a!=b:
        res = "Yes"
    else:
        res = "No"
        
print(res)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())

S = []
for i in range(n):
    S.append(input())
    
count = {}
for s in S:
    if s in count:
        count[s] += 1
    else:
        count[s] = 1
        
res = [kv[0] for kv in count.items() if kv[1] == max(count.values())]
res.sort()

for i in res:
    print(i)

Fixed submission:
n = int(input())

S = []
for i in range(n):
    S.append(input())
    
max_temp = 1
count = {}
for s in S:
    if s in count:
        count[s] += 1
        if count[s]>max_temp:
            max_temp = count[s]
    else:
        count[s] = 1
        
res = [kv[0] for kv in count.items() if kv[1] == max_temp]
res.sort()

for i in res:
    print(i)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())

S = []
for i in range(n):
    S.append(input())
    
count = {}
for s in S:
    if s in count:
        count[s] += 1
    else:
        count[s] = 1
        
res = [kv[0] for kv in count.items() if kv[1] == max(count.values())]
res.sort()

for i in res:
    print(i)

Fixed submission:
n = int(input())

S = []
for i in range(n):
    S.append(input())
    
max_temp = 1
count = {}
for s in S:
    if s in count:
        count[s] += 1
        if count[s]>max_temp:
            max_temp = count[s]
    else:
        count[s] = 1
        
res = [kv[0] for kv in count.items() if kv[1] == max_temp]
res.sort()

for i in res:
    print(i)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = [int(x) for x in input().split()]

a_b = []
for i in A:
    this_b = []
    this_a = i
    for j in range(59,-1,-1):
        if this_a >= 2**j:
            this_b.append(1)
            this_a -= 2**j
        else:
            this_b.append(0)
    a_b.append(this_b)
    
#print(a_b)

count_a_b = []
for i in range(60):
    count_a_b.append(0)

    
for i in a_b:
    for j in range(len(i)):
        count_a_b[j] += i[j]
#print(count_a_b)

count = 0
for i in range(len(count_a_b)):
    count += (count_a_b[i] * (N-count_a_b[i])) *2**(59-i)
    
print(count%(10**9+7))

Fixed submission:
N = int(input())
A = [int(x) for x in input().split()]

a_b = []
for i in A:
    this_b = []
    this_a = i
    for j in range(59,-1,-1):
        j2 = 2**j
        if this_a >= j2:
            this_b.append(1)
            this_a -= j2
        else:
            this_b.append(0)
    a_b.append(this_b)
    
#print(a_b)

count_a_b = []
for i in range(60):
    count_a_b.append(0)

    
for i in a_b:
    for j in range(len(i)):
        count_a_b[j] += i[j]
#print(count_a_b)

count = 0
for i in range(len(count_a_b)):
    count += (count_a_b[i] * (N-count_a_b[i])) *2**(59-i)
    
print(count%(10**9+7))
Buggy python submission (verdict: Runtime Error):
A, B = map(int(), input().split())
print(A*B)

Fixed submission:
A, B = map(int, input().split())
print(A*B)
Buggy python submission (verdict: Runtime Error):

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

S = 1
for i in range(1, N):
	S *= A[i]
	if S > 1000000000000000000:
         print(-"1")
	
print(S)

Fixed submission:
def main ():
	N = int(input())
	A = list(map(int,input(). split ()))
	if 0 in A:
		print(0)
		return
	prod = 1
	for a in A:
		prod *= a
		if prod > 1000000000000000000:
			print(-1)
			return
	print(prod)
main ()

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

S = A[0]

for i in range(1, N):
	S = S * A[i]
	if S > 10**18:
         print(-"1")

print(S)

Fixed submission:
def main ():
	N = int(input())
	A = list(map(int,input(). split ()))
	if 0 in A:
		print(0)
		return
	prod = 1
	for a in A:
		prod *= a
		if prod > 1000000000000000000:
			print(-1)
			return
	print(prod)
main ()

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

S = A[0]
for i in range(1, N):
	S = S * A[i]
	if S > 10**18:
         print(-"1")
print(S)

Fixed submission:
def main ():
	N = int(input())
	A = list(map(int,input(). split ()))
	if 0 in A:
		print(0)
		return
	prod = 1
	for a in A:
		prod *= a
		if prod > 1000000000000000000:
			print(-1)
			return
	print(prod)
main ()

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

S = A[0]
for i in range(1, N):
	S = S * A[i]
	if S > 10**18:
         print(-"1")
print(S)

Fixed submission:
def main ():
	N = int(input())
	A = list(map(int,input(). split ()))
	if 0 in A:
		print(0)
		return
	prod = 1
	for a in A:
		prod *= a
		if prod > 1000000000000000000:
			print(-1)
			return
	print(prod)
main ()

Buggy python submission (verdict: Runtime Error):
N = int(input())
nums = input().split()
mul = int(nums[0])
for i in nums[1:]:
    if str(0) in mul:
        mul = 0
        break
    if len(str(mul)) > 19:
        mul = -1
        break
    mul *= int(i)
print(mul)

Fixed submission:
N = int(input())
nums = input().split()
mul = int(nums[0])
if str(0) in nums:
    mul = 0
else:
    for i in nums[1:]:
        mul *= int(i)
        if len(str(mul)) >= 19 and str(mul) != "1000000000000000000":
            mul = -1
            break
print(mul)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
nums = input().split()
mul = int(nums[0])
for i in nums[1:]:
    mul *= int(i)
if mul > 10**18:
    mul = -1
print(mul)

Fixed submission:
N = int(input())
nums = input().split()
mul = int(nums[0])
if str(0) in nums:
    mul = 0
else:
    for i in nums[1:]:
        mul *= int(i)
        if len(str(mul)) >= 19 and str(mul) != "1000000000000000000":
            mul = -1
            break
print(mul)
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list()
for i in range(n):
	s=sorted(input())
	a.append(s)
co=0  
for i in range(n-1):
  for j in range(i+1,n):
    if(a[i]==a[j]):
        co+=1
print(co)

Fixed submission:
n = int(input())
b = list()
for _ in range(n):
    
    s = input()
    a = list()
    for i in range(len(s)):
        a.append(s[i])
    a.sort()
    s = ""
    s = s.join(a)
    
    b.append(s)
    
b.sort()
b.append("zzzzzzzzzzzzzzz")

ans = 0
cn  = 1
for i in range(0,len(b)-1):
    if(b[i]==b[i+1]):
        cn += 1
    else:
        ans += (cn*(cn-1))//2
        cn  = 1

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

while(n%10==0):
	n//=10
    
k=str(n)
ans=0

for i in range(1,len(k),2):
	ans+=i*9 
    
if(len(k)%2==1):
	m=n//pow(10,len(n)-1)
	ans+=m-1

print(ans)

Fixed submission:
n=int(input())

k=str(n)
ans=0

for i in range(1,len(k),2):
  s="9"
  s*=i
  ans+=int(s)-int(s)//10
    
if(len(k)%2==1):
	m=pow(10,len(k)-1)
	ans+=n-m+1

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
s = input()
k = int(input())

a = list()

for i in range(1,27):
    b = set()
    for j in range(len(s)):
        if(ord(s[j])==(i+96)):
            for m in range(j,len(s)):
                #print(s[j:m+1])
                b.add(s[j:m+1])
    a.append(list(b))

for i in range(26):
    a[i].sort()
    
cn = 0
for i in range(26):
    if(len(a[i])+cn>=k):
        for j in range(len(a[i])):
            cn += 1
            if(cn == k):
                print(a[i][j])
    else:
        cn += len(a[i])
        
#print(a)

Fixed submission:
s = input()
k = int(input())

a = list()

ch = 0
cn = 0
for i in range(1,27):
    b = set()
    for j in range(len(s)):
        if(ord(s[j])==(i+96)):
            for m in range(j,j+k):
                #print(s[j:m+1])
                b.add(s[j:m+1])
                cn += 1
                

    a.append(list(b))
    

for i in range(26):
    a[i].sort()
    
cn = 0
for i in range(26):
    if(len(a[i])+cn>=k):
        for j in range(len(a[i])):
            cn += 1
            if(cn == k):
                print(a[i][j])
    else:
        cn += len(a[i])
        
#print(a)
Buggy python submission (verdict: Runtime Error):
N,A,B,C,D = map(int,input().split())
if N > 30 and D > 1:
	flag = 10 **9
else:
	flag = pow(D,N -1)
B -= A
if N % 2 == 1:
	if (B % (C + D) <= (N - 1) * (D - C) / 2 or abs(B % (C + D) - (C + D)) <= (N - 1) * (D - C) / 2) and B <= flag and B >= -flag:
		print("YES")
	else:
		print("NO")
else:
	if ((B - (D + C) / 2) % (C + D) <= (N - 1) * (D - C) / 2 : #and B <= flag and B >= -flagor (B + (D + C) / 2) % (C + D) <= (N - 1) *  (D - C) / 2)
		print("YES")
	else:
		print("NO")

Fixed submission:
N,A,B,C,D = map(int,input().split())
flag = D * (N - 1)
B -= A
if D - C == 0:
	if A == B:
		print("YES")
	else:
		print("NO")
elif N % 2 == 1:
	if (B % (C + D) <= (N - 1) * (D - C) / 2 or abs(B % (C + D) - (C + D)) <= (N - 1) * (D - C) / 2) and B <= flag and B >= -flag:
		print("YES")
	else:
		print("NO")
else:
	if abs(B % (C + D) - (D + C) / 2) <= (N - 1) * (D - C) / 2 and B <= flag and B >= -flag:
		print("YES")
	else:
		print("NO")

Buggy python submission (verdict: Runtime Error):
N,A,B,C,D = map(int,input().split())
if N > 18 and D > 1:
	flag = 10 **9
else:
	flag = pow(D,N)
B -= A
if N % 2 == 1:
	if (B % (C + D) <= (N - 1) * (D - C) / 2 or abs(B % (C + D) - (C + D)) <= (N - 1) * (D - C) / 2) and B <= flag and B >= -flag:
		print("YES")
	else:
		print("NO")
else:
	if (abs(B % (C + D) - (D - C) / 2) <= (N - 1) * (D - C) / 2 or (B % (C + D) + (D - C) / 2) mod (C + D) <= (N - 1) * (D - C) / 2) and B <= flag and B >= -flag:
		print("YES")
	else:
		print("NO")

Fixed submission:
N,A,B,C,D = map(int,input().split())
flag = D * (N - 1)
B -= A
if D - C == 0:
	if A == B:
		print("YES")
	else:
		print("NO")
elif N % 2 == 1:
	if (B % (C + D) <= (N - 1) * (D - C) / 2 or abs(B % (C + D) - (C + D)) <= (N - 1) * (D - C) / 2) and B <= flag and B >= -flag:
		print("YES")
	else:
		print("NO")
else:
	if abs(B % (C + D) - (D + C) / 2) <= (N - 1) * (D - C) / 2 and B <= flag and B >= -flag:
		print("YES")
	else:
		print("NO")
Buggy python submission (verdict: Runtime Error):
import math
N,A,B = map(int,input().split())
H = [int(input()) for i in range(N)]
Hs = sum(H)
c = A - B
M = math.ceil(Hs / (B * N))

m = math.ceil(Hs / (A * N))

nibun = [M,m]
while M - m > 1:
	n = (M + m) // 2
	H2 = [H[i] - n * B for i in range(N) if H[i] - n * B > 0]
	cnts = [math.ceil(H2[i] / c) for i in range(len(H2))]
	cnt = sum(cnts)
	if cnt > n:
		m = n
	else:
		M = n
print(m)

Fixed submission:
n = int(input())
S = [int(input()) for i in range(n)]
S.sort()
if sum(S) % 10 == 0:
	flag = 0
	for s in S:
		if s % 10 != 0:
			flag = 1
			break
	if flag == 1:
		print(sum(S) - s)
	else:
		print(0)
else:
	print(sum(S))
Buggy python submission (verdict: Runtime Error):
n = int(input())
A = list(map(int,input().split()))
B = []
for i in range(n,2*n + 1):
	A1 = A[:i]
	A2 = A[i:]
	a1 = i - n
	a2 = 2 * n - i
	A1.sort()
	A1 = A1[a1:]
	A2.sort()
	if a2 != 0:
		A2 = A2[:-a2]
	#print(A1,A2)
	B.append(sum(A1) - sum(A2))
#print(B)
print(max(B))

Fixed submission:
H,W = map(int,input().split())
if H % 3 == 0 or W % 3 == 0:
	print(0)
else:
	A = []
	for j in range(2):
		if j == 1:
			H,W = W,H
		n = H // 3
		for i in range(3):
			S1 = (n + i) * W
			if W % 2 == 0:
				S2 = (H - n - i) * (W // 2)
				A.append(abs(S2 - S1))
			else:
				S2 = (H - n - i) * (W // 2)
				S3 = (H - n - i) * (W // 2 + 1)
				s = max(S1,S2,S3) - min(S1,S2,S3)
				A.append(s)
		A.append(W)
	print(min(A))
Buggy python submission (verdict: Runtime Error):
H,W,K = map(int,input().split())
HW = [list(input()) for i in range(H)]
for i,h in enumerate(HW):
	if "S" in h:
		y = i
		x = h.index("S")
A = [(x,y)]
m = 800
def idou(a,b):
	X = []
	for i2 in range(4):
		if i2 == 0:
			t,k = a - 1, b
		elif i2 == 1:
			t,k = a, b - 1
		elif i2 == 2:
			t,k = a + 1, b
		elif i2 == 3:
			t,k = a, b + 1
		if 0 <= t < W and 0 <= k <=H and HW[k][t] == ".":
			HW[k][t] = "o"
			X.append((t,k))
	return X
for p in A:
	x,y = p
	b = idou(x,y)
	A.extend(b)
M = []
for i,w in enumerate(zip(HW)):
	if "o" in w or "S" in w:
		M.append(min(i,W - i - 1))
for i,h in enumerate(HW):
	if "S" in h or "o" in h:
		M.append(min(i, H - i - 1))
m = min(M)
print((m + K - 1) // K + 1)

Fixed submission:
import math
H,W,K = map(int,input().split())
HW = [list(input()) for i in range(H)]
for i,h in enumerate(HW):
	if "S" in h:
		y = i
		x = h.index("S")
A = [(x,y)]
m = 800
def idou(a,b):
	X = []
	for i2 in range(4):
		if i2 == 0:
			t,k = a - 1, b
		elif i2 == 1:
			t,k = a, b - 1
		elif i2 == 2:
			t,k = a + 1, b
		elif i2 == 3:
			t,k = a, b + 1
		if 0 <= t < W and 0 <= k < H and HW[k][t] == ".":
			HW[k][t] = "o"
			X.append((t,k))
	return X
cnt = 0
while cnt < K:
	cnt += 1
	B = []
	for p in A:
		x,y = p
		b = idou(x,y)
		B.extend(b)
	A = B[:]
M = []
for i,w in enumerate(zip(*HW)):
	#print(w)
	if "o" in w or "S" in w:
		M.append(min(i,W - i - 1))
		
for i,h in enumerate(HW):
	if "S" in h or "o" in h:
		M.append(min(i, H - i - 1))
		#print(h)
m = min(M)
print((m + K - 1) // K + 1)
Buggy python submission (verdict: Runtime Error):
import numpy as np
N,M = map(int,input().split())
nodes = [[False]* N for j in range(N)]
for m in range(M):
	a,b = map(int,input().split())
	nodes[a-1][b-1] = True
	nodes[b-1][a-1] = True
mat1 = np.matrix(nodes,dtype=bool)
mat2 = mat1.copy()
A = [mat1.tolist()]
for i in range(10):
	mat2 = mat2.dot(mat1)
	a = mat2.tolist()
	A.append(a)

white = [i for i in range(N)]
Colour = [0] * N
paint = []
Q = int(input())
for q in range(Q):
	line = list(map(int,input().split()))
	paint.append(line)
white2 = white[:]
paint.reverse()
for p in paint:
	v,d,c = p[0],p[1],p[2]
	if d == 0 and v - 1 in w:
		Colour[v - 1] = c
		white2.remove(v - 1)
		continue
	elif d == 0:
		continue
	else:
		for w in white:
			if d == 1:
				if not A[0][v - 1][w]:
					continue
				else:
					Colour[w] = c
					white2.remove(w)
			else:
				if A[d - 1][v - 1][w] or A[d - 2][v - 1][w]:
					Colour[w] = c
					white2.remove(w)
		if len(white2) == 0:
			break
	if v - 1 in white:
		Colour[v - 1] = c
		if v - 1 in white2:
			white2.remove(v - 1)
	white = white2[:]

for C in Colour:
	print(C)

Fixed submission:
N = int(input())
A = list(map(int,input().split()))
A.sort()
A = A[N:]
B = A[::2]
print(sum(B))

Buggy python submission (verdict: Runtime Error):
import numpy as np
N,M = map(int,input().split())
nodes = [[False]* N for j in range(N)]
for m in range(M):
	a,b = map(int,input().split())
	nodes[a-1][b-1] = True
	nodes[b-1][a-1] = True
mat1 = np.matrix(nodes,dtype=bool)
mat2 = mat1.copy()
A = [mat1.tolist()]
for i in range(10):
	mat2 = mat2.dot(mat1)
	a = mat2.tolist()
	A.append(a)
'''
for ai,a in enumerate(A):
	for k in a:
		print(k)
	print(ai)
'''
Colour = [0] * N
Q = int(input())
for q in range(Q):
	v,d,c = map(int,input().split())
	Colour[v - 1] = c
	if d == 0:
		continue
	for n in range(N):
		if d == 1 :
			if (not A[0][v - 1][n]):
				continue
			else:
				Colour[n] = c
		else:
			if A[d - 1][v - 1][n] or A[d - 2][v - 1][n] > 0:
				Colour[n] = c
	
for C in Colour:
	print(C)


Fixed submission:
N = int(input())
A = list(map(int,input().split()))
A.sort()
A = A[N:]
B = A[::2]
print(sum(B))
Buggy python submission (verdict: Runtime Error):
import itertools
N,K = map(int,input().split())
A = list(map(int,input().split()))
A.sort()
need = []
iranaiko = []
for a in A:
	if a >= K:
		need.append(a)
	elif a in need:
		need.append(a) 
	elif a in iranaiko:
		pass
	else:
		z = 0
		B = A[:]
		B.remove(a)
		fusoku = [K - i - 1 for i in range(a)]
		for bi,b in enumerate(B):
			if b >= K:
				break
		B = B[:bi + 1]
		for i in range(1,len(B) + 1):
			C = list(itertools.combinations(B,i))
			for c in C:
				if sum(c) in fusoku:
					need.append(a)
					z = 1
					break
			if z == 1:
				break
		if z == 0:
			iranaiko.append(a)
print(N - len(need))


Fixed submission:
# -*- coding: utf-8 -*- 

a,b = input().split()
if a == "H":
	c = 1
else:
	c = -1

if b == "H":
	d = 1
else:
	d = -1
if c * d == 1:
	print("H")
else:
	print("D")
Buggy python submission (verdict: Runtime Error):
a = int(input())
b = int(input())
print((a-1) * (b-1))

Fixed submission:
a,b = (int(x) for x in input().split())
print((a-1) * (b-1))
Buggy python submission (verdict: Runtime Error):
n = int(input())
k = int(input())
if n % k == 0:
    print(0)
else:
    print(1)

Fixed submission:
n,k=map(int,input().split())   
if n%k == 0:
    print(0)
else:
    print(1)
Buggy python submission (verdict: Runtime Error):
a,b = map(int, input.split())

print(a * b)

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

print(a * b)
Buggy python submission (verdict: Runtime Error):
N = int(input())

A = lit(map(int, input().split()))

if 0 in A:
    print(0)
    exit()

limit = 10**18

result = 1
for value in A:
    result *= value
    if result > limit:
        result = -1
        break

print(result)

Fixed submission:
N = int(input())

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

if 0 in A:
    print(0)
    exit()

limit = 10**18

result = 1
for value in A:
    result *= value
    if result > limit:
        result = -1
        break

print(result)

Buggy python submission (verdict: Runtime Error):
N = int(input())

A = lit(map(int, input().split()))

if 0 in A:
    print(0)
    return
    
limit = 10**18

result = 1
for value in A:
    result *= value
    if result > limit:
        result = -1
        break

print(result)

Fixed submission:
N = int(input())

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

if 0 in A:
    print(0)
    exit()

limit = 10**18

result = 1
for value in A:
    result *= value
    if result > limit:
        result = -1
        break

print(result)
Buggy python submission (verdict: Time Limit Exceeded):
N, K, Q = [int(x) for x in input().split()]

scores = [K] * N
for i in range(Q):
    ans = int(input())
    scores = list(map(lambda x: x - 1 , scores))
    scores[ans - 1] += 1
    

for score in scores:
    print('Yes' if score > 0 else 'No')


Fixed submission:
N, K, Q = [int(x) for x in input().split()]

scores = [K - Q] * N
for i in range(Q):
    ans = int(input())
    scores[ans - 1] += 1
    

for score in scores:
    print('Yes' if score > 0 else 'No')

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
N, K, Q = [int(x) for x in input().split()]

scores = np.full(N, K)
for i in range(Q):
    ans = int(input())
    scores -= 1
    scores[ans - 1] += 1

for score in scores:
    print('Yes' if score > 0 else 'No')
    

Fixed submission:
N, K, Q = [int(x) for x in input().split()]

scores = [K - Q] * N
for i in range(Q):
    ans = int(input())
    scores[ans - 1] += 1
    

for score in scores:
    print('Yes' if score > 0 else 'No')
Buggy python submission (verdict: Runtime Error):
from decimal import *

a, b = map(int, input().split())
ans = Decimal(a) * Decimal(b)
print(int(ans))


Fixed submission:
from decimal import *

a, b = input().split()
ans = Decimal(a) * Decimal(b)
print(int(ans))