Harryxun/stf_run huggingface dataset:
import math, sys
from bisect import bisect_left, bisect_right
from collections import Counter, defaultdict, deque
from copy import deepcopy
from functools import lru_cache
from heapq import heapify, heappop, heappush
from itertools import accumulate, combinations, permutations
input = sys.stdin.readline
mod = 10**9 + 7
ns = lambda: input().strip()
ni = lambda: int(input().strip())
nm = lambda: map(int, input().split())
nl = lambda: list(map(int, input().split()))

def main():
    a, b, c, d = nm()
    while True:
        c -= d
        if c <= 0:
            print('Yes')
            exit()
        a -= d:
        if a <= 0:
            print('No')
            exit()


if __name__ == '__main__':
    main()

### FIXED CODE ###

import math, sys
from bisect import bisect_left, bisect_right
from collections import Counter, defaultdict, deque
from copy import deepcopy
from functools import lru_cache
from heapq import heapify, heappop, heappush
from itertools import accumulate, combinations, permutations
input = sys.stdin.readline
mod = 10**9 + 7
ns = lambda: input().strip()
ni = lambda: int(input().strip())
nm = lambda: map(int, input().split())
nl = lambda: list(map(int, input().split()))

def main():
    a, b, c, d = nm()
    while True:
        c -= b
        if c <= 0:
            print('Yes')
            exit()
        a -= d
        if a <= 0:
            print('No')
            exit()


if __name__ == '__main__':
    main()
import numpy as np

n,m = map(int,input().split())
h = np.array(list(map(int,input().split())))

#base = np.zeros(n)
seen = np.zeros((n,n))

for i in range(m):
  a,b = map(int,input().split())
  seen[a-1,b-1] = 1
  seen[b-1,a-1] = 1
  
ans = 0
for i in range(n):
  temp = np.multiply(seen[i],h)
  temp_1 = np.max(temp)
  if (h[i] > temp_1) and (temp_1 != 0):
    ans += 1
  elif temp_1 == 0:
    ans += 1
    
print(ans)

### FIXED CODE ###

import numpy as np
n,m = map(int,input().split())
h = list(map(int,input().split()))

base = np.ones(n)

for i in range(m):
  a,b =  map(int,input().split())
  if h[a-1] > h[b-1]:
    base[b-1] = 0
  elif h[a-1] < h[b-1]:
    base[a-1] = 0
  elif h[a-1] == h[b-1]:
    base[a-1] = 0
    base[b-1] = 0
    
print(int(np.sum(base)))
import sys
import numpy as np
from copy import deepcopy

I = np.array(sys.stdin.read().split(), dtype=np.int64)
n, ma, mb = I[:3]
a, b, c = I[3:].reshape(n, 3).T

def main():
    sa = np.sum(a)
    sb = np.sum(b)

    res = [[[[0, 0] for _ in range(sb+1)] for _ in range(sb + 1)] for _ in range(n+1)]
    res[0][0][0][0] = 1
    for i in range(n):
        res[i+1] = deepcopy(res[i])
        for j in range(sa+1):
            for k in range(sb+1):
                if j >= a[i] and k >= b[i]:
                    prev =  res[i][j-a[i]][k-b[i]]
                    if prev[0]:
                        res[i+1][j][k][0] = 1
                        if res[i+1][j][k][1]:
                            res[i+1][j][k][1] = min(prev[1] + c[i], res[i+1][j][k][1])   
                        else:    
                            res[i+1][j][k][1] = prev[1] + c[i]

    for i in range(1, min(sa//ma, sb//mb)+1):
        x = res[n][ma * i][mb * i]
        if x[0]:
            return x[1]
    return -1

if __name__ == '__main__':
    ans = main()
    print(ans)

### FIXED CODE ###

import sys

INF = float('inf')

n, ma, mb = map(int, sys.stdin.readline().split())
a, b, c = [], [], []
for _ in range(n):
    ai, bi, ci = map(int, sys.stdin.readline().split())
    a.append(ai); b.append(bi); c.append(ci)

def main():
    sa = sum(a)
    sb = sum(b)
    res = [[[INF] * (sb + 1) for _ in range(sa + 1)] for _ in range(n + 1)]
    res[0][0][0] = 0
    for i in range(n):
        for j in range(sa + 1):
            for k in range(sb + 1):
                if j >= a[i] and k >= b[i]:
                    res[i+1][j][k] = min(res[i][j-a[i]][k-b[i]] + c[i], res[i][j][k])
                else:
                    res[i+1][j][k] = res[i][j][k]
    ans = INF
    for i in range(1, min(sa//ma, sb//mb)+1):
        ans = min(ans, res[n][ma * i][mb * i])
    
    if ans == INF:
        return -1
    else:
        return ans

if __name__ == '__main__':
    ans = main()
    print(ans)
N, K = map(int,input().split())
H = list(map(int,input().split()))
print(sum([h>=Kfor h in H]))

### FIXED CODE ###

N, K = map(int,input().split())
H = list(map(int,input().split()))
print(sum([h>=K for h in H]))
x=int(input())
y=int(input())

if(x%2==0 or y%2==0):
    print("Even")
else:
    print("Odd")

### FIXED CODE ###

x,y=map(int,input().split())

if(x%2==0 or y%2==0):
    print("Even")
else:
    print("Odd")
K,X = map(int,input().split())
a = 500 * K
if a => X:
    print ('Yes')
else:
    print ('No')

### FIXED CODE ###

a = input().split()
K = int(a[0])
X = int(a[1])
if 500 * K >= X:
    print('Yes')
else:
    print('No')
from collections import Counter

n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))

ca = Counter(a)
cb = Counter(b)

for ka, va in ca.items():
    vb = cb[ka]
    if va + vb > n:
        print("No")
        exit()

raise Exception

### FIXED CODE ###

from collections import Counter, defaultdict

n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))

ca = Counter(a)
cb = Counter(b)

for ka, va in ca.items():
    vb = cb[ka]
    if va + vb > n:
        print("No")
        exit()

print("Yes")
end = defaultdict(int)
for i, e in enumerate(a):
    end[e] = i

mx = 0
for i, e in enumerate(b):
    diff = end[e] - i + 1
    mx = max(mx, diff)

ans = b[-mx:] + b[:-mx]
print(*ans)
N = 10*(int(input())) + int(input())
if N % 1:
    print("Yes")
else:
    print("No")


### FIXED CODE ###

A, B = input().split()
N = int(A + B)
if (N**0.5) % 1:
    print("No")
else:
    print("Yes")
S = input()
if S == "Sunny":
  print("Cloudy")
else if S == "Cloudy":
  print("Rainy")
else if S == "Rainy":
  print("Sunny")

### FIXED CODE ###

S = input()
if S == 'Sunny':
  print('Cloudy')
elif S == 'Cloudy':
  print('Rainy')
else:
  print('Sunny')
if x == 0:
  print(1)
else:
  print(0)


### FIXED CODE ###

s = int(input()) 
if s == 0:
  print(1)
else:
  print(0)
# encoding:utf-8
import copy
import random
import bisect #bisect_left　これで二部探索の大小検索が行える
import fractions #最小公倍数などはこっち
import math
import sys
import collections
 
mod = 10**9+7
sys.setrecursionlimit(mod) # 再帰回数上限はでdefault1000
 
d = collections.deque()
def LI(): return list(map(int, sys.stdin.readline().split()))
 

"""
3
1 1 2
のパターンが例外だった
"""

N = int(input())
A = LI()
A.sort()

table = [0 for i in range(2 * 10 ** 5 + 1)]
cnt = 0
for a in A:
    if table[a] != 0:
        pass
    else:
        cnt += 1
        for i in range(2 * 10 ** 5):
            if a * i > 2 * 10 ** 5:
                break
            table[a * i] = 1

A_dic = collections.Counter(A)
for key in A_dic.keys():
    if A_dic[key] > 1:
        cnt -= 1
    
print(cnt)


### FIXED CODE ###

# encoding:utf-8
import copy
import random
import bisect #bisect_left　これで二部探索の大小検索が行える
import fractions #最小公倍数などはこっち
import math
import sys
import collections
 
mod = 10**9+7
sys.setrecursionlimit(mod) # 再帰回数上限はでdefault1000
 
d = collections.deque()
def LI(): return list(map(int, sys.stdin.readline().split()))
 

"""
3
1 1 2
のパターンが例外だった
"""

N = int(input())
A = LI()
A.sort()

table = [0 for i in range(10 ** 6 + 1)]
cnt = 0

cc = collections.Counter(A)
duplicate = []
for key in cc.keys():
    if cc[key] > 1:
        duplicate.append(key)

for a in A:
    if table[a] != 0:
        pass
    else:
        if a not in duplicate:
            cnt += 1
        for i in range(1, 10 ** 6 + 1):
            if a * i > 10 ** 6:
                break
            table[a * i] = 1

print(cnt)
n=int(input())
sets=['{0} {1}'.format(m,r) for m in ['S','H','C','D'] for r in range(1,14)]
[sets.remove(input()) for a in range(n)]
print(b) for b in sets

### FIXED CODE ###

n=int(input())
sets=['{0} {1}'.format(m,r) for m in ['S','H','C','D'] for r in range(1,14)]
[sets.remove(input()) for a in range(n)]
[print(b) for b in sets]
S = list(map(int,inpuy().split()))
S.sort()
print((S[0]+S[1])/2)


### FIXED CODE ###

S = list(map(int,input().split()))
S.sort()
print((S[0]*S[1])//2)
time=int(input())
sec=time%60
min=(time/60)%60
hour=time/3600
print(hour+':'+min+':'+sec)

### FIXED CODE ###

time=int(input())
sec=time%60
min=(time//60)%60
hour=time//3600
print(hour,min,sec,sep=':')
n, q = map(int,input().split())
S = list(input())
L = []
R = []
for i in range(q):
    l, r = [int(i) for i in input().split()]
    L.append(l)
    R.append(r)
for i in range(q):
    S_0 = ""
    for k in range(L[i], R[i] + 1):
        S_0 += S[k]
    print(S_0.count("AC"))


### FIXED CODE ###

N, Q = map(int, input().split())
S = input()
t = [0] * (N + 1)
for i in range(N):
	t[i + 1] = t[i] + (1 if S[i : i + 2] == 'AC' else 0)
for i in range(Q):
	l, r = map(int, input().split())
	print(t[r-1] - t[l-1])
n = int(input())
a = list(map(int, input().split()))
q = int(input())

a.sort()
A = [0] * 100000
for i in a:
  A[i] += 1

ans  = 0
for i in range(len(A)):
  ans += i * A[i]  

for n in range(q):
  b,c = list(map(int, input().split()))
  ans += (c * A[b]) - (b * A[b])
  A[c] += A[b]
  A[b] = 0
  print(ans)
  
  

### FIXED CODE ###

n = int(input())
a = list(map(int, input().split()))
q = int(input())

A = [0] * 100001
for i in a:
  A[i] += 1

ans  = 0
for i in range(len(A)):
  ans += i * A[i]  

for n in range(q):
  b,c = list(map(int, input().split()))
  ans += (c * A[b]) - (b * A[b])
  A[c] += A[b]
  A[b] = 0
  print(ans)
n,m = map(int,input().split())
ls = list(map(int,input().split()))
for a in range(ls):
  n -= a
print(max(-1,n))

### FIXED CODE ###

n,m = map(int,input().split())
ls = list(map(int,input().split()))
for a in ls:
  n -= a
print(max(-1,n))
# 累積和の手法をとる
# 簡単にいうと要素が ある区間の和 であるようなリストを先に作成しておき
# 必要な時に取り出すという手法である
# 同じ計算過程を何回も繰り返す（上の解法）ことなく結果がでる
N = int(input())
S = input()
w = [0 for _ in range(N)]       # Wを向いている人の番号に１、逆の方角の人に０を割り当てる
sw = [0 for _ in range(N+1)]    # リストwの累積和のリスト、つまり sw[i] は 0~i-1 でWを向いている人の累積和
e = [0 for _ in range(N)]       # Eを向いている人の番号に１、逆の方角の人に０を割り当てる
se = [0 for _ in range(N+1)]    # リストeの累積和のリスト
l = []

for i in range(N):
    if S[i] == "W":
        w[i] = 1
    else:
        e[i] = 1

# 累積和を格納したリストを求める
for i in range(N):
    sw[i+1] = sw[i] + w[i]
    se[i+1] = se[i] + e[i]

# 本計算
for i in range(N):      # i 番目がリーダーだとする
    counter = sw[i] + (se[N+1] - se[i+1])
    l.append(counter)

print(min(l))

### FIXED CODE ###

# 累積和の手法をとる
# 簡単にいうと要素が ある区間の和 であるようなリストを先に作成しておき
# 必要な時に取り出すという手法である
# 同じ計算過程を何回も繰り返す（上の解法）ことなく結果がでる
N = int(input())
S = input()
w = [0 for _ in range(N)]       # Wを向いている人の番号に１、逆の方角の人に０を割り当てる
sw = [0 for _ in range(N+1)]    # リストwの累積和のリスト、つまり sw[i] は 0~i-1 でWを向いている人の累積和
e = [0 for _ in range(N)]       # Eを向いている人の番号に１、逆の方角の人に０を割り当てる
se = [0 for _ in range(N+1)]    # リストeの累積和のリスト
l = []

for i in range(N):
    if S[i] == "W":
        w[i] = 1
    else:
        e[i] = 1

# 累積和を格納したリストを求める
for i in range(N):
    sw[i+1] = sw[i] + w[i]
    se[i+1] = se[i] + e[i]

# 本計算
for i in range(N):      # i 番目がリーダーだとする
    counter = sw[i] + (se[N] - se[i+1])
    l.append(counter)

print(min(l))
N = input()
d = [input() for i in range(N)]
print(len(set(d))

### FIXED CODE ###

N = input()
d = [input() for i in range(int(N))]
print(len(set(d)))
a,b,c=map(int,raw_input().split())
if a+b=>c:
  print "yes"
elif c>a+b:
  print "no"

### FIXED CODE ###

a,b,c=map(int,raw_input().split())
if a+b>=c:
  print "Yes"
else:
  print "No"
import sys
sys.setrecursionlimit(100000)
input = sys.stdin.buffer.readline

n, m, q = [int(i) for i in input().strip().split()]
abcd = []
canditates = []
ans = 0


for _ in range(q):
    abcd.append((int(i) for i in input().strip().split()))


def helper(_min, _max, cur, res):
    if res == 0:
        canditates.append(list(cur))
    else:
        for i in range(_min, _max):
            cur.append(i)
            helper(i, _max, cur, res - 1)
            cur.pop()


helper(1, m + 1, [], m)

for A in canditates:
    _temp = 0
    for a, b, c, d in abcd:
        try:
            if A[b - 1] - A[a - 1] == c:
                _temp += d
        except BaseException:
            pass
    ans = max(ans, _temp)

print(ans)


### FIXED CODE ###

import sys
sys.setrecursionlimit(100000)
input = sys.stdin.buffer.readline

n, m, q = [int(i) for i in input().strip().split()]
abcd = []
canditates = []
ans = 0


for _ in range(q):
    abcd.append([int(i) for i in input().strip().split()])


def helper(_min, _max, cur, res):
    if res == 0:
        canditates.append(list(cur))
    else:
        for i in range(_min, _max):
            cur.append(i)
            helper(i, _max, cur, res - 1)
            cur.pop()


helper(1, m + 1, [], n)

for A in canditates:
    _temp = 0
    for a, b, c, d in abcd:
        if A[b - 1] - A[a - 1] == c:
            _temp += d

    ans = max(ans, _temp)

print(ans)
a, b ,c = map(int, input().split())
if a > b:
     temp = a
     a = b
     b = temp
if b > c:
    temp = b
    b = c
    c = temp
if a > b:
     temp = a
     a = b
     b = temp
print(srt(a)+ ' ' +str(b)+ ' ' +str(c)
    
    



### FIXED CODE ###

a, b ,c = map(int, input().split())

if a > b:
     temp = a
     a = b
     b = temp
if b > c:
    temp = b
    b = c
    c = temp
if a > b:
     temp = a
     a = b
     b = temp
print(str(a) + ' ' + str(b) + ' ' + str(c))
N=int(input())
A=[int(x) for x in input().split()]
AA=sorted(set(A),reverse=True)
li=[]
for aa in AA:
  if A.count(aa)>=4:
    print(aa**2)
    break
  if A.count(aa)>=2:
    li.append(aa)
  if len(li)==2:
    break
if len(li)==0:
  print(0)
if len(li)==2:
  print(li[0]*li[1])


### FIXED CODE ###

x,a,b=map(int,input().split())
if abs(a-x) < abs(b-x):print("A")
else:print("B")
import heapq


def solve(N, ABs):
    # print(N, ",", ABs)
    taken = {i: False for i in range(N)}
    As = [(ab[0], ab[1], i) for i, ab in enumerate(ABs)]
    Bs = [(ab[1], ab[0], i) for i, ab in enumerate(ABs)]
    heapq.heapify(As)
    heapq.heapify(Bs)
    ans = 0
    taken_count = 0
    while True:
        if taken_count >= N:
            break
        if not len(As):
            break
        am = As.pop(len(As) - 1)
        while taken[am[2]]:
            am = As.pop(len(As) - 1)

        if not len(Bs):
            ans += am[2]
            break

        bm = Bs.pop(len(Bs) - 1)
        while taken[bm[2]]:
            bm = Bs.pop(len(Bs) - 1)
        if am[2] == bm[2]:
            ans += am[0]
            taken[am[2]] = True
            taken_count += 1
            if len(Bs):
                bm = Bs.pop(len(Bs) - 1)
                while taken[bm[2]]:
                    bm = Bs.pop(len(Bs) - 1)
                ans -= bm[0]
                taken[bm[2]] = True
                taken_count += 1
        elif am[0] > bm[0]:
            ans += am[0]
            ans -= bm[0]
            taken[am[2]] = True
            taken[bm[2]] = True
            taken_count += 2
        elif am[0] < bm[0]:
            ans += bm[0]
            ans -= am[0]
            taken[am[2]] = True
            taken[bm[2]] = True
            taken_count += 2

    return ans

if __name__ == "__main__":
    N = int(input())
    ABs = [tuple(map(int, input().split(" "))) for _ in range(N)]
    print(solve(N, ABs))


### FIXED CODE ###

def cheat_solve(N, ABs):
    Ds = sorted([ab[0] + ab[1] for ab in ABs], reverse=True)
    bsum = sum([ab[1] for ab in ABs])
    dsum = sum(Ds[::2])
    return dsum - bsum

if __name__ == "__main__":
    N = int(input())
    ABs = [tuple(map(int, input().split(" "))) for _ in range(N)]
    print(cheat_solve(N, ABs))
a = input()
for  _ in range(3):
  if a % 10 == 7:
    print("Yes")
    return
  a /= 10
print("No")
return

### FIXED CODE ###

a = input()
if '7' in a:
  print("Yes")
else:
  print("No")
def main():
  N = int(input())
  print(sum([x for x in range(1,N+1)])

if __name__ == '__main__':
  main()

### FIXED CODE ###

n = int(input())
a = [x for x in range(1,n+1)]
print(sum(a))
a, b, c= map(int, input().split())
if a+b+c==17 && a*b*c==175:
   print("YES")
else:
   print("NO")

### FIXED CODE ###

a, b, c= map(int, input().split())
if a+b+c==17 and a*b*c==175:
   print("YES")
else:
   print("NO")
from collections import Counter
l=input()
s=list()
k=0
if s[0]=='A':
    for i in range(2,len(s)-1):
        if s[i]=='C':
            k+=1
    if k==1:
        if l.replace('A', 'a').replace('C', 'c') == l.lower():print('AC')
        else:print('WA')
    else:print('WA')
else:print('WA')

### FIXED CODE ###

from collections import Counter
l=input()
s=list(l)
k=0
if s[0]=='A':
    for i in range(2,len(s)-1):
        if s[i]=='C':
            k+=1
    if k==1:
        if l.replace('A', 'a').replace('C', 'c') == l.lower():print('AC')
        else:print('WA')
    else:print('WA')
else:print('WA')
s = gets.to_i
h = (s/3600).floor
s = s%3600
m = (s/60).floor
s = s%60
print h,":",m,":",s,"\n"

### FIXED CODE ###

S = int(input())
print(S // 3600, S % 3600 // 60, S % 60, sep=':')
from collections import deque

n = int(input())
que = deque()

for i in range(n):
    command = input()
    if command == "deleteFirst":
        que.popleft()
    elif command == "deleteLast":
        que.pop()
    else:
        a, b = command.split()
        if a == "insert":
            que.appendleft(b)
        else:
            que.remove(b)

print(*que)

### FIXED CODE ###

import sys
from collections import deque

n = int(input())
que = deque()

for i in range(n):
    command = sys.stdin.readline()[:-1]
    if command[0] == "i":
        que.appendleft(command[7:])
    elif command[6] == " ":
        try:
            que.remove(command[7:])
        except:
            pass
    elif command[6] == "F":
        que.popleft()
    else:
        que.pop()
print(*que)
s=input()
le=len(s)
lis=[]
for i in range(0,le):
  if s[i]!="A" and s[i]!="" and s[i]!="T" and s[i]!="G":
    lis.append(i)
lo=0
for j in range(0,len(lis)-1):
  if lis[j+1]-lis[j]-1>=lo:
    lo=lis[j+1]-lis[j]-1
if lis[0]>=lo:
  lo=lis[j]
if le-lis[-1]-1>=lo:
  lo=le-lis[-1]-1
print(lo)

### FIXED CODE ###

s=input()
le=len(s)
lis=[]
for i in range(0,le):
  if s[i]!="A" and s[i]!="C" and s[i]!="T" and s[i]!="G":
    lis.append(i)
lo=0
for j in range(0,len(lis)-1):
  if lis[j+1]-lis[j]-1>=lo:
    lo=lis[j+1]-lis[j]-1
if bool(lis):
  if lis[0]>=lo:
    lo=lis[0]
  if le-lis[-1]-1>=lo:
    lo=le-lis[-1]-1
  print(lo)
else:
  print(le)
from collections import Counter
n=int(input())
xy = [list(map(int, input().split())) for _ in range(n)]
xy=sorted(xy)
xy_diff=[]

for i in range(0,n-1):
    xy_diff.append(xy[i][0]-xy[i+1][0])

c=Counter(xy_diff)
mode = c.most_common(1)
saihin=mode[0][0]

xy1_diff=[]

for i in range(0,n-1):
    if xy[i][0]-xy[i+1][0]==saihin:
        xy1_diff.append(xy[i][1]-xy[i+1][1])

d=Counter(xy1_diff)
mode = d.most_common(1)
kaisu=mode[0][1]


print(n-kaisu)

### FIXED CODE ###

n=int(input())
xy = [list(map(int, input().split())) for _ in range(n)]
diff={}

for i in range(n):
    for j in range(n):
        if i==j:
            continue
        if ((xy[i][0]-xy[j][0]),(xy[i][1]-xy[j][1])) in diff:
            diff[((xy[i][0]-xy[j][0]), (xy[i][1]-xy[j][1]))]+=1
        else:
            diff[((xy[i][0] - xy[j][0]), (xy[i][1] - xy[j][1]))] = 1

print(n-max(diff.values()) if n!=1 else 1)
nums , types = map(int, input().split())
array = list(map(int,input().split()))
array.sort()
type_count = 0
count = 0
result = 0
ary_count = []
array.append(1000000000)

for i in range (nums):
    if array[i] == array[i + 1]:
        count += 1
    elif array[i] < array[i+1]:
        ary_count.append(count)
        type_count += 1
        count = 0

if type_count > types:
    for i in range(type_count - types):
        result += min(ary_count+1)
print(result)

### FIXED CODE ###

nums , types = map(int, input().split())
array = list(map(int,input().split()))
array.sort()
type_count = 0
count = 0
result = 0
ary_count = []
array.append(1000000000)

for i in range (nums):
    if array[i] == array[i +1]:
        count += 1
    elif array[i] < array[i +1]:
        ary_count.append(count)
        type_count += 1
        count = 0

ary_count.sort()

if type_count > types:
    for i in range(type_count - types):
        result += ary_count[i]+1
print(result)
n,m = map(int, input().split())
adjacent_list = [[] for i in range(n+1+m+1)]
for i in range(1,n+1):
    for j in list(map(int, input().split()))[1:]:
        adjacent_list[i].append(j)
        adjacent_list[i].append(j)
finished = set()
def dfs(node):
    finished.add(node)
    for i in adjacent_list[node]:
        if i not in finished:
            dfs(i)
dfs(1)
flag = True
for i in range(1,n+1):
    if i not in finished:
        flag = False
if flag:
    print("YES")
else:
    print("NO")

### FIXED CODE ###

import sys
sys.setrecursionlimit(10**7)
n,m = map(int, input().split())
adjacent_list = [[] for i in range(n+1+m+1)]
for i in range(1,n+1):
    for j in list(map(int, input().split()))[1:]:
        adjacent_list[i].append(j+n)
        adjacent_list[j+n].append(i)
finished = set()
def dfs(node):
    finished.add(node)
    for i in adjacent_list[node]:
        if i not in finished:
            dfs(i)
dfs(1)
flag = True
for i in range(1,n+1):
    if i not in finished:
        flag = False
if flag:
    print("YES")
else:
    print("NO")
N, M = map(int, input().split())
switches = []

for i in range(M):
    tmp = list(map(int,input().split()))
    tmp.pop(0)
    switches.append(tmp)

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

a = [list(f"{i:0{N}b}") for i in range(2**N)]

ans = 0

for i in a:
    flag = 0
    for j in range(M):
        sum = 0
        for k in switches[j]:
            sum += int(i[k-1])
        if sum%2 != R[j]:
             flag = 1
    if flag == 0:
        ans += 1
print(ans)

### FIXED CODE ###

N, M = map(int, input().split())
switches = []

for i in range(M):
    tmp = list(map(int,input().split()))
    tmp.pop(0)
    switches.append(tmp)

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

a = [list(format(i, '0%db' % N)) for i in range(2**N)]

ans = 0

for i in a:
    flag = 0
    for j in range(M):
        SUM = 0
        for k in switches[j]:
            SUM += int(i[k-1])
        if SUM%2 != R[j]:
            flag = 1
    if flag == 0:
        ans += 1

print(ans)
x,y = map(int,input().split())
import sys
sys.setrecursionlimit(10**6)



a = (2*x-y)/3
b = (2*y-x)/3
if not (a.is_integer() and  b.is_integer()):
    print(0)
    sys.exit()
a = int(a)
b = int(b)
from functools import reduce
def mycmb(n,r,p):
    r = min(r,n-r)
    if r == 0:
        return 1
    over = reduce(lambda x,y:x*y%p,range(n,n-r,-1))
    under = reduce(lambda x,y:x*y%p,range(1,r+1))
    return (over * pow(under,p-2,p))%p

mod = 10**9+7
print(mycmb(a+b,a,mod))


### FIXED CODE ###

x,y = map(int,input().split())
import sys
sys.setrecursionlimit(10**6)



a = (2*x-y)/3
b = (2*y-x)/3
if not (a.is_integer() and  b.is_integer()) or 2*x<y or 2*y<x:
    print(0)
    sys.exit()
    
a = int(a)
b = int(b)

from functools import reduce
def mycmb(n,r,p):
    r = min(r,n-r)
    if r == 0:
        return 1
    over = reduce(lambda x,y:x*y%p,range(n,n-r,-1))
    under = reduce(lambda x,y:x*y%p,range(1,r+1))
    return (over * pow(under,p-2,p))%p

mod = 10**9+7
print(mycmb(a+b,a,mod))