Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
class TreeNode(object):
    def __init__(self, val):
        self.container = []
        self.val = val
        self.counter = 0

    def concatenate(self, node):
        self.container.append(node)

    def getNodes(self):
        return self.container

def traverseAndIncrement(root, val):
    if root:
        root.counter += val
        for node in root.getNodes():
            traverseAndIncrement(node, val)

if __name__ == '__main__':
    N, Q = map(int, input().split())
    tree = {}
    for i in range(N):
        tree[i + 1] = TreeNode(i + 1)

    for _ in range(N - 1):
        parent, child = map(int, input().split())
        tree[parent].concatenate(tree[child])

    for _ in range(Q):
        root_idx, val = map(int, input().split())
        traverseAndIncrement(tree[root_idx], val)

    for idx in range(N):
        print(tree[idx + 1].counter, end=' ')

Fixed submission:
from collections import deque

if __name__ == '__main__':
    N, Q = map(int, input().split())
    count = [0] * (N + 1)
    tree = [[] for _ in range(N + 1)]
    for _ in range(N - 1):
        a, b = map(int, input().split())
        tree[a].append(b)
        tree[b].append(a)

    for _ in range(Q):
        idx, val = map(int, input().split())
        count[idx] += val

    q = deque()
    q.append(1)

    is_valid = [1] * (N + 1)
    while q:
        idx = q.pop()
        is_valid[idx] = 0
        for t in tree[idx]:
            if is_valid[t] == 0: continue
            count[t] += count[idx]
            q.append(t)
    print(*count[1:])
Buggy python submission (verdict: Time Limit Exceeded):
BASE =  1000000007

class Route(object):
    def __init__(self):
        self.counter = [1]

    def getCounter(self, idx):
        if idx == -1:
            return 0
        try:
            return self.counter[idx]
        except IndexError:
            return 0

    def getList(self):
        return self.counter

    def append(self, elem):
        self.counter.append(elem)

if __name__ == '__main__':
    N, M = [int(i) for i in input().split()]
    not_available = []
    for i in range(M):
        not_available.append(int(input()))
    route_counter = Route()
    for idx in range(1, N + 1):
        if idx in not_available:
            route_counter.append(0)
            continue
        route_counter.append(route_counter.getCounter(idx - 1) + route_counter.getCounter(idx - 2))
    print(route_counter.getCounter(N) % BASE)

Fixed submission:
BASE =  1000000007

if __name__ == '__main__':
    N, M = [int(i) for i in input().split()]
    not_available = []
    for i in range(M):
        not_available.append(int(input()))
    x = 0
    y = 1
    predicted_next = 1
    is_available = [True] * N
    for idx in not_available:
        is_available[idx - 1] = False

    for flag in is_available:
        if flag:
            z = x + y
            x = y
            y = z
        else:
            x = y
            y = 0

    print(y % BASE)
Buggy python submission (verdict: Time Limit Exceeded):
def binarySearchLeft(nums, target):
    low = 0
    high = len(nums) - 1
    while low <= high:
        mid = low + high >> 1
        if target == nums[mid]:
            if mid == 0 or target != nums[mid - 1]:
                return mid
            else:
                high = mid - 1
        elif target < nums[mid]:
            high = mid - 1
        else:
            low = mid + 1
    return low

def solve(N, A, B, C):
     A.sort()
     B.sort()
     C.sort()
     ret = 0
     for a in A:
         b_idx = binarySearchLeft(B, a + 1)
         if not (0 <= b_idx < N):
             continue
         for j in range(b_idx, N):
             c_idx = binarySearchLeft(C, B[j] + 1)
             ret += N - c_idx if 0 <= c_idx < N else 0
     print(ret)

if __name__ == "__main__":
    N = int(input())
    A = list(map(int, input().split()))
    B = list(map(int, input().split()))
    C = list(map(int, input().split()))
    solve(N, A, B, C)


Fixed submission:
def binarySearchLeft(nums, target):
    low = 0
    high = len(nums) - 1
    while low <= high:
        mid = low + high >> 1
        if target == nums[mid]:
            if mid == 0 or target != nums[mid - 1]:
                return mid
            else:
                high = mid - 1
        elif target < nums[mid]:
            high = mid - 1
        else:
            low = mid + 1
    return low

def binarySearchRight(nums, target):
    low = 0
    high = len(nums) - 1
    while low <= high:
        mid = low + high >> 1
        if target == nums[mid]:
            if mid == len(nums) - 1 or target != nums[mid + 1]:
                return mid
            else:
                low = mid + 1
        elif target < nums[mid]:
            high = mid - 1
        else:
            low = mid + 1
    return high

def solve(N, A, B, C):
     A.sort()
     B.sort()
     C.sort()
     ret = 0
     for j in range(N):
         i = binarySearchRight(A, B[j] - 1)
         k = binarySearchLeft(C, B[j] + 1)
         ret += (i + 1) * (N - k) if 0 <= i < N and 0 <= k < N else 0
     print(ret)

if __name__ == "__main__":
    N = int(input())
    A = list(map(int, input().split()))
    B = list(map(int, input().split()))
    C = list(map(int, input().split()))
    solve(N, A, B, C)
Buggy python submission (verdict: Runtime Error):
s=input()
s[3]="8"
print(s)

Fixed submission:
s=input()
print(s[0:3]+"8"+s[4:])
Buggy python submission (verdict: Runtime Error):
X ,N = map(int,input().split())
if N == 0:
    print(X)
else:
    p = list(map(int,input().split()))

    X_u = X - 1
    X_l = X + 1
    while judge:
        X_u += 1
        X_l -= 1
        if X_u not in p and X_l not in p:
            print(X_l)
            break
        elif X_u not in p:
            print(X_u)
            break
        elif X_l not in p:
            print(X_l)
            break
        else:
            if X_u == X_l:
                p.remove(X_u)
            else:
                p.remove(X_u)
                p.remove(X_l)

Fixed submission:
X ,N = map(int,input().split())
if N == 0:
    print(X)
else:
    p = list(map(int,input().split()))

    add_minus = -1
    while True:
        add_minus += 1
        if (X - add_minus) not in p:
            print(X - add_minus)
            break
        elif (X + add_minus) not in p:
            print(X+add_minus)
            break
Buggy python submission (verdict: Time Limit Exceeded):
N , M = map(int,input().split())
H = list(map(int,input().split()))

lst = list(range(1,N+1))
for i in range(M):
    A_,B_ = map(int,input().split())
    if H[A_ -1] >= H[B_ -1]:
        if B_ in lst:
            lst.remove(B_)
    if H[A_-1] <= H[B_- 1]:
        if A_ in lst:
            lst.remove(A_)
print(len(lst))


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

lst = []
for i in range(M):
    A_,B_ = map(int,input().split())
    if H[A_ -1] >= H[B_ -1]:
        lst.append(B_)
    if H[A_-1] <= H[B_- 1]:
        lst.append(A_)
print(N - len(set(lst)))
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
L = []
for i in range(N):
    S = input()
    if S not in L:
        L.append(S)
print(len(L))

Fixed submission:
N = int(input())
L = []
for i in range(N):
    L.append(input())
print(len(set(L)))
Buggy python submission (verdict: Runtime Error):
S = input()
judge = True
for i in range(len(S)//2):
    if S[i] != S[len(S) - i - 1]:
        judge = False
        break


if judge:        
    for i in range(int((len(S)-1)/2)):
  
        if S[i] != S[int((len(S)-1)/2)- 1 - i]:
            judge = False
            break
        elif S[int((N+3)/2)-1 + i] != S[N-1-i]:
            judge = False
            break

if judge:
    print("Yes")
else:
    print("No")

Fixed submission:
S = input()
N = len(S)
judge = True
for i in range(len(S)//2):
    if S[i] != S[len(S) - i - 1]:
        judge = False
        break


if judge:        
    for i in range(int((len(S)-1)/2)):
  
        if S[i] != S[int((len(S)-1)/2)- 1 - i]:
            judge = False
            break
        elif S[int((N+3)/2)-1 + i] != S[N-1-i]:
            judge = False
            break

if judge:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
S = input()
judge = True
for i in range(len(S)//2 + 2):
    if S[i] != S[len(S) - i - 1]:
        judge = False
        break


if judge:        
    for i in range(int((len(S)-1)/2)):
  
        if S[i] != S[int((len(S)-1)/2)- 1 - i]:
            judge = False
            break
        elif S[int((N+3)/2)-1 + i] != S[N-1-i]:
            judge = False
            break

if judge:
    print("Yes")
else:
    print("No")

Fixed submission:
S = input()
N = len(S)
judge = True
for i in range(len(S)//2):
    if S[i] != S[len(S) - i - 1]:
        judge = False
        break


if judge:        
    for i in range(int((len(S)-1)/2)):
  
        if S[i] != S[int((len(S)-1)/2)- 1 - i]:
            judge = False
            break
        elif S[int((N+3)/2)-1 + i] != S[N-1-i]:
            judge = False
            break

if judge:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int,input().split()))
import numpy as np
num_list = np.zeros(N+1)
for A_ in A:
    num_list[A_] += 1

for A_ in A:
    num_list[A_] -= 1
    ans_ = 0
    for index_ in num_list:
        ans_ += index_ * (index_ - 1) / 2
    print(int(ans_))
    num_list[A_] += 1

Fixed submission:
N = int(input())
A = list(map(int,input().split()))
import numpy as np
num_list = np.zeros(N+1)
for A_ in A:
    num_list[A_] += 1

all_pattern = 0
for number_ in num_list:
    all_pattern += number_ * (number_ - 1) / 2

for A_ in A:
    print(int(all_pattern - (num_list[A_] - 1)))
Buggy python submission (verdict: Runtime Error):
import numpy as np

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

a = np.array(a)




def make_Xor(a,b):
	d_ = []
	for i in range(len(a)):
		if a[i] == b[i]:
			d_.append("0")
		else:
			d_.append("1")
	return d_


def judge_of_3(a):
	a_ = []
	a_.append(list(format(a[0],'b')))
	a_.append(list(format(a[1],'b')))
	a_.append(list(format(a[2],'b')))
	max_len = max(len(a_[0]),len(a_[1]),len(a_[2]))
	for i in range(3):
		while len(a_[i]) < max_len:
			a_[i].insert(0,'0')
	if make_Xor(a_[0],a_[1]) == a_[2]:
		return True
	else:
		return False
	
	


if N % 3 == 0:
	a_1 = np.unique(a)
	for a_1_ in a_1:	
		if np.count_nonzero(a == a_1_) != int(N // 3):
			judge = False
		else:
			if judge_of_3(a_1):
				judge = True
			else:
				judge = False
else:
	a_1 = np.unique(a)
	a_1 = list(a_1)
	if len(a_1) != 0:
		judge = False
	if a_1[0] != 0:
		judge = False

if judge:
	print("Yes")
else:
	print("No")
	
	
	


Fixed submission:
import numpy as np

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

a = np.array(a)




def make_Xor(a,b):
	d_ = []
	for i in range(len(a)):
		if a[i] == b[i]:
			d_.append("0")
		else:
			d_.append("1")
	return d_


def judge_of_3(a):
	a_ = []
	a_.append(list(format(a[0],'b')))
	a_.append(list(format(a[1],'b')))
	a_.append(list(format(a[2],'b')))
	max_len = max(len(a_[0]),len(a_[1]),len(a_[2]))
	for i in range(3):
		while len(a_[i]) < max_len:
			a_[i].insert(0,'0')
	if make_Xor(a_[0],a_[1]) == a_[2]:
		return True
	else:
		return False
	
	
judge = True

if N % 3 == 0:
	a_1 = np.unique(a)
	if len(a_1) <= 3:
		a = list(a)
		a.sort()
		div_3 = N // 3
		for i in range(3):
			if a[i * div_3] != a[(i+1) * div_3 - 1]:
				judge = False
		a_1 = [a[0],a[div_3],a[2*div_3]]
		if judge:
			if judge_of_3(a_1):
				judge = True
			else:
				judge = False
	else:
		judge = False
else:
	a_1 = np.unique(a)
	a_1 = list(a_1)
	if len(a_1) != 1:
		judge = False
	if a_1[0] != 0:
		judge = False

if judge:
	print("Yes")
else:
	print("No")
Buggy python submission (verdict: Runtime Error):
import math
A,B,C,D = map(int,input().split())

def lcm(C, D):
    return (C * D) // math.gcd(C, D)

lcm_C_D = lcm(C,D)
rem_C = lcm_C_D // C
rem_D = lcm_C_D // D

lcm_count = rem_C + rem_D - 1


rem_A = A % lcm_C_D
dif_A = lcm_C_D - rem_A
count_A_C = dif_A // C
count_A_D = dif_A // D
before_count = count_A_C + count_A_D + 1



dif_B = B % lcm_C_D
count_B_C = dif_B // C
count_B_D = dif_B // D
after_count = count_B_C + count_B_D 


syou_A = (A + dif_A) // lcm_C_D
syou_B = (B - dif_B) // lcm_C_D
between_count = (syou_B - syou_A) * lcm_count


print(B - A + 1 - (after_count + between_count + before_count))





Fixed submission:
import math
A,B,C,D = map(int,input().split())

def gcd(a,b):
	while b!=0:
		a,b=b,a%b
	return a


lcm_C_D = (C * D) // gcd(C, D)
rem_C = lcm_C_D // C
rem_D = lcm_C_D // D

lcm_count = rem_C + rem_D - 1


rem_A = A % lcm_C_D
if rem_A != 0:
	dif_A = lcm_C_D - rem_A
	count_A_C = dif_A // C
	count_A_D = dif_A // D
	before_count = count_A_C + count_A_D + 1
else:
	before_count = 1
	dif_A = 0



dif_B = B % lcm_C_D
if dif_B != 0:
	count_B_C = dif_B // C
	count_B_D = dif_B // D
	after_count = count_B_C + count_B_D 
else:
	after_count = 0
	


syou_A = (A + dif_A) // lcm_C_D
syou_B = (B - dif_B) // lcm_C_D
between_count = (syou_B - syou_A) * lcm_count


print(B - A + 1 - (after_count + between_count + before_count))
Buggy python submission (verdict: Runtime Error):
W , H , x , y = map(int,input().split())
if x == 0 or x == W:
	x_on_line = True
else:
	x_on_line = False
if y == 0 or y == H:
	y_on_line = True
else:
	y_on_line = False


if x_on_line or y_on_line:
	pattern = 0
	S = W * H / 2
else:
	if (W / 2) == float(x):
		x_half_point = True
	else:
		x_half_point = False
	if (H / 2) == float(y):
		y_half_point = True
	else:
		y_half_point = False
	if x_half_point and y_half_point:
		pattern = 1
		S = W * H / 2
	elif x_half_point or y_half_point:
		pattern = 0
		S = W * H / 2	
	else:
		min_x = (x,W - x)
		min_y = (y,H - y)
		S = max((min_x * H,min_y * W))
		pattern = 0
print(S,pattern)
	
	

Fixed submission:
W , H , x , y = map(int,input().split())
if x == 0 or x == W:
	x_on_line = True
else:
	x_on_line = False
if y == 0 or y == H:
	y_on_line = True
else:
	y_on_line = False


if x_on_line or y_on_line:
	pattern = 0
	S = W * H / 2
else:
	if (W / 2) == float(x):
		x_half_point = True
	else:
		x_half_point = False
	if (H / 2) == float(y):
		y_half_point = True
	else:
		y_half_point = False
	if x_half_point and y_half_point:
		pattern = 1
		S = W * H / 2
	elif x_half_point or y_half_point:
		pattern = 0
		S = W * H / 2	
	else:
		S = W * H / 2
		pattern = 0
print(S,pattern)
Buggy python submission (verdict: Runtime Error):
import numpy as np
N , M = map(int,input().split())
A = list(map(int,input().split()))
B_C = []
C = []
for i in range(M):
	B_C.append(list(map(int,input().split())))
B_C =np.array(B_C,dtype = np.int64)
B_C = B_C[np.argsort(B_C[:,1])]
not_change = N
A.sort()
A = np.array(A,dtype = np.int64)
k = M - 1
sum_num = 0
judge = 0 
while judge == 0:
	if not_change >= B_C[k][0]:
		if A[N - not_change] < B_C[k][1]:
			if A[N - not_change  + B_C[k][0]] < B_C[k][1]:
				sum_num += B_C[k][1] * B_C[k][0]
				not_change -= B_C[k][0]
				if not_change == 0:
					judge = 1
			else:
				while A[N - not_change] < B_C[k][1]:
					sum_num += B_C[k][1]
					not_change -= 1
				judge = 1
		else:
			judge = 1
	else:
		if A[N - not_change] < B_C[k][1]:
			if A[N-1] < B_C[k][1]:
				sum_num += B_C[k][1] * not_change
				not_change = 0
				judge = 1
			else:
				while A[N - not_change] < B_C[k][1]:
					sum_num += B_C[k][1]
					not_change -= 1
				judge = 1
		else:
			judge = 1
	k -= 1
	if k == -1:
		judge = 1


if not_change == 0:
	print(sum_num)
else:
	print(A[N-not_change:N].sum() + sum_num)
	
	


Fixed submission:
import numpy as np
N , M = map(int,input().split())
A = list(map(int,input().split()))
B_C = []
C = []
for i in range(M):
	B_C.append(list(map(int,input().split())))
B_C =np.array(B_C,dtype = np.int64)
B_C = B_C[np.argsort(B_C[:,1])]
not_change = N
A.sort()
A = np.array(A,dtype = np.int64)
k = M - 1
sum_num = 0
judge = 0 
while judge == 0:
	if not_change > B_C[k][0]:
		if A[N - not_change] < B_C[k][1]:
			if A[N - not_change  + B_C[k][0]] < B_C[k][1]:
				sum_num += B_C[k][1] * B_C[k][0]
				not_change -= B_C[k][0]
				if not_change == 0:
					judge = 1
			else:
				while A[N - not_change] < B_C[k][1]:
					sum_num += B_C[k][1]
					not_change -= 1
				judge = 1
		else:
			judge = 1
	else:
		if A[N - not_change] < B_C[k][1]:
			if A[N-1] < B_C[k][1]:
				sum_num += B_C[k][1] * not_change
				not_change = 0
				judge = 1
			else:
				while A[N - not_change] < B_C[k][1]:
					sum_num += B_C[k][1]
					not_change -= 1
				judge = 1
		else:
			judge = 1
	k -= 1
	if k == -1:
		judge = 1


if not_change == 0:
	print(sum_num)
else:
	print(A[N-not_change:N].sum() + sum_num)
Buggy python submission (verdict: Runtime Error):
N = int(input())
s = []
temp_sum = 0
A_or_B_count = [0,0]
AB_count = 0
for i in range(N):
	aaa = input()
	temp_sum += aaa.count("AB")
	if aaa[0] == "B" and aaa[-1] == "A":
		AB_count += 1
	elif aaa[-1] == "A":
		A_or_B_count[0] += 1
	elif aaa[0] == "B":
		A_or_B_count[1] += 1
A_or_B_count.sort()
if A_or_B_count[0] + AB_count > A_or_B_count[1]:
	if A_or_B_count[0] == 0:
		print(temp_sum + min(N-1,AB_count - 1)
	else:
		AB_count -= (A_or_B_count[1] - A_or_B_count[0])
		print(temp_sum + min(N-1,AB_count + A_or_B_count[1]))
else:
	print(temp_sum + min(N - 1,A_or_B_count[0] + AB_count))


	

	

Fixed submission:
N = int(input())
s = []
temp_sum = 0
A_or_B_count = [0,0]
AB_count = 0
for i in range(N):
	aaa = input()
	temp_sum += aaa.count("AB")
	if aaa[0] == "B" and aaa[-1] == "A":
		AB_count += 1
	elif aaa[-1] == "A":
		A_or_B_count[0] += 1
	elif aaa[0] == "B":
		A_or_B_count[1] += 1
A_or_B_count.sort()
if A_or_B_count[0] + AB_count > A_or_B_count[1]:
	if A_or_B_count[1] == 0:
		print(temp_sum + min(N-1,AB_count - 1))
	else:
		AB_count -= (A_or_B_count[1] - A_or_B_count[0])
		print(temp_sum + min(N-1,AB_count + A_or_B_count[1]))
else:
	print(temp_sum + min(N - 1,A_or_B_count[0] + AB_count))
Buggy python submission (verdict: Runtime Error):
time = []
for i in range(5):
	time.append(int(input()))
remain = []
for i in range(5):
	if time[i] % 10 != 0:
		remain.append(10 - time[i] % 10)
sum = 0
for i in range(5):
	if time[i] % 10 == 0:
		sum += time[i]
	else:
		sum += (time[i] // 10 + 1) * 10

print(sum - max(remain))

Fixed submission:
time = []
for i in range(5):
	time.append(int(input()))
remain = [0]
for i in range(5):
	if time[i] % 10 != 0:
		remain.append(10 - time[i] % 10)
sum = 0
for i in range(5):
	if time[i] % 10 == 0:
		sum += time[i]
	else:
		sum += (time[i] // 10 + 1) * 10

print(sum - max(remain))
Buggy python submission (verdict: Time Limit Exceeded):
X , Y , Z , K = map(int,input().split())
A = list(map(int,input().split()))
B = list(map(int,input().split()))
C = list(map(int,input().split()))
temp_sum = []
for i in range(X):
	for j in range(Y):
		for k in range(Z):
			temp_sum.append(A[i] + B[j] + C[k])

def merge_sort(arr):
    if len(arr) <= 1:
        return arr

    mid = len(arr) // 2
    # ここで分割を行う
    left = arr[:mid]
    right = arr[mid:]

    # 再帰的に分割を行う
    left = merge_sort(left)
    right = merge_sort(right)

    # returnが返ってきたら、結合を行い、結合したものを次に渡す
    return merge(left, right)


def merge(left, right):
    merged = []
    l_i, r_i = 0, 0

    # ソート済み配列をマージするため、それぞれ左から見ていくだけで良い
    while l_i < len(left) and r_i < len(right):
        # ここで=をつけることで安定性を保っている
        if left[l_i] <= right[r_i]:
            merged.append(left[l_i])
            l_i += 1
        else:
            merged.append(right[r_i])
            r_i += 1

    # 上のwhile文のどちらかがFalseになった場合終了するため、あまりをextendする
    if l_i < len(left):
        merged.extend(left[l_i:])
    if r_i < len(right):
        merged.extend(right[r_i:])
    return merged

ans = merge_sort(temp_sum)

for i in range(K):
	print(ans[len(ans) - 1 - i])

Fixed submission:
X , Y , Z , K = map(int,input().split())
A = list(map(int,input().split()))
B = list(map(int,input().split()))
C = list(map(int,input().split()))
ans = []
A.sort()
A.reverse()
B.sort()
B.reverse()
C.sort()
C.reverse()
for i in range(min(K,len(A))):
	if K // (i+1) > 0:
		for j in range(min(K // (i+1),len(B))):
			if K // ((i+1) * (j+1)) > 0:
				for l in range(min(K // ((i+1) * (j+1)),len(C))):
					ans.append(A[i] + B[j] + C[l])

ans.sort()
ans.reverse()
for i in range(K):
	print(ans[i])
Buggy python submission (verdict: Time Limit Exceeded):
N , M = map(int,input().split())
A_B = []
for i in range(N):
	A_B.append(list(map(int,input().split())))
A = []
B = []
for i in range(N):
	A.append(A_B[i][0])
	B.append(A_B[i][1])

money = 0	
while M > 0:
	min_price = min(A)
	min_price_amount = B[A.index(min_price)]
	if M >= min_price_amount:
		M -= min_price_amount
		money += min_price * min_price_amount
		del A[A.index(min_price)]
		del B[B.index(min_price_amount)]
	else:
		money += min_price * M
		M = 0
		
print(money)

Fixed submission:
import numpy as np
N , M = map(int,input().split())
A_B = []
for i in range(N):
	A_B.append(list(map(int,input().split())))
A_B = np.array(A_B).T

arg_A_B = np.argsort(A_B[0])

sort_A_B = A_B[:,arg_A_B]

money = 0
i = 0
while M > 0:
	money += sort_A_B[0][i] * sort_A_B[1][i]
	M -= sort_A_B[1][i]
	i += 1
print(money + M * sort_A_B[0][i - 1])
Buggy python submission (verdict: Runtime Error):
N,K = map(int,input().split())
K_A = []
for i in range(N):
	K_A.append(list(map(int,input().split())))

l = []

for i in range(N):
	del K_A[i][0]
	for j in range(len(K_A[i])):
		l.append(K_A[i][j])
		
count = 0

for i in range(K+1):
	if l.count(i) == N:
		count  += 1

print(count)


Fixed submission:
A,B = map(int,input().split())
if B % A == 0:
	print(A+B)
else:
	print(B-A)
Buggy python submission (verdict: Runtime Error):
K,A,B = map(int,input().split())
if A+2 >= B:
	print(1+K)
elif K <= A:
	print(1+K)
else:
	new_K = K-A
	if new_K % 2 == 1:
		temp_K = int((new_K+1)/2)
		print((temp_K*B - (temp_K-1)*A))
	else:
		temp_K = int(new_K/2)
		print(int(temp_K*B - (temp_K-1)*A + 1)))
		
	

Fixed submission:
K,A,B = map(int,input().split())
if A+2 >= B:
	print(1+K)
elif K <= A:
	print(1+K)
else:
	new_K = K-A
	if new_K % 2 == 1:
		temp_K = int((new_K+1)/2)
		print((temp_K*B - (temp_K-1)*A))
	else:
		temp_K = int(new_K/2)
		print((int(temp_K*B - (temp_K-1)*A + 1)))
Buggy python submission (verdict: Runtime Error):

N = int(input())
A = list(map(int,input().split()))
A.insert(0,0)
A.append(0)
dif = []
for i in range(N + 1):
	dif.append((abs(A[i+1] - A[i])))

temp_sum = sum(dif)
for i in range(N):
	print(sum - dif[i] - dif[i+1] + abs(A[i+2] - A[i]))

Fixed submission:

N = int(input())
A = list(map(int,input().split()))
A.insert(0,0)
A.append(0)
dif = []
for i in range(N + 1):
	dif.append((abs(A[i+1] - A[i])))

temp_sum = sum(dif)
for i in range(N):
	print(temp_sum - dif[i] - dif[i+1] + abs(A[i+2] - A[i]))

Buggy python submission (verdict: Time Limit Exceeded):
import copy
N = int(input())
A = list(map(int,input().split()))
A.insert(0,0)
A.append(0)
dif = []
for i in range(N + 1):
	dif.append((abs(A[i+1] - A[i])))

for i in range(N):
	temp_dif = copy.copy(dif)
	del temp_dif[i + 1]
	del temp_dif[i]
	temp_dif.append(abs(A[i + 2] - A[i]))
	print(sum(temp_dif))

Fixed submission:

N = int(input())
A = list(map(int,input().split()))
A.insert(0,0)
A.append(0)
dif = []
for i in range(N + 1):
	dif.append((abs(A[i+1] - A[i])))

temp_sum = sum(dif)
for i in range(N):
	print(temp_sum - dif[i] - dif[i+1] + abs(A[i+2] - A[i]))
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = []
for i in range(N):
	A.append(int(input()))

max_A = max(A)

num = [0] * (max_A + 1)

for i in range(N):
	num[A[i]] += 1

sum = 0
for i in range(len(num)):
	if num[i] % 2 == 1:
		sum += 1

print(sum)

Fixed submission:
N = int(input())
A = []
for i in range(N):
	A.append(int(input()))

A.sort()

i = 0

ans = 0

while i != len(A):
	num = A[i]
	count = 0
	j = i
	while A[j] == num:
		count += 1
		j += 1
		if j == len(A):
			break

	if count % 2 == 1:
		ans += 1
	i += count
	
print(ans)