Harryxun/stf_run huggingface dataset:
import bisect
#find set of numbers iroha like
tmp = raw_input("").split(' ')
n = int(tmp[0])
k = int(tmp[1])
tmp = raw_input("")
exclude_set = map(int, tmp.split(' '))
include_set = []
for i in range(0, 10):
  if i not in exclude_set:
    include_set.append(i)
#print include_set
n_digits = []
while n > 0:
  n_digits.append(n%10)
  n = int(n/10)
out = []
j = 0
#print include_set
while j < len(n_digits):
  tmp = bisect.bisect_left(include_set, n_digits[j])
  #print tmp
  out.append(str(include_set[tmp]))
  j += 1
print int(''.join(out)[::-1])

### FIXED CODE ###

#find set of numbers iroha like
tmp = raw_input("").split(' ')
n = int(tmp[0])
k = int(tmp[1])
tmp = raw_input("")
exclude_set = map(int, tmp.split(' '))

def binarySearch(arr, target):
  l = 0
  r  = len(arr) - 1
  while l <= r:
    m = (l + r)//2
    if arr[m] == target:
      return True
    elif arr[m] > target:
      r = m - 1
    elif arr[m] < target:
      l = m + 1
  return False

def check(n_digits, exclude_set):
  for i in range(0, len(n_digits)):
    if binarySearch(exclude_set, n_digits[i]) == True:
      return False
  return True
for i in range(n, 10**5):
  tmp = i
  n_digits = []
  while tmp > 0:
    n_digits.append(tmp%10)
    tmp = int(tmp/10)
  #print n_digits
  if check(n_digits, exclude_set) == True:
    print i
    break
l=raw_input().split()
 
print((l[0]-1)-(l[1]-1))

### FIXED CODE ###


a,b=map(int,input().split())
 
print((a-1)*(b-1))
#!/usr/bin/env python3

input = input()
hitati = [ hi*i for i in range(1, 6) ]
if input in hitati:
    print('Yes')
else:
    print('No')

### FIXED CODE ###

#!/usr/bin/env python3

input = input()
hitati = [ 'hi'*i for i in range(1, 6) ]
if input in hitati:
    print('Yes')
else:
    print('No')
A = input()
A =int(A)

P = input()
P =int(P)

X = (A * 3 + P) // 2 
print(X)

### FIXED CODE ###

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



a=((P + A * 3) / 2)
print(int(a))
import math

def overlap(p1, p2, d):
    return (p1[0] - p2[0])**2 + (p1[1] - p2[1])**2 <= d

def intersection(o1,o2):
    a  = 2*(o2[0] - o1[0])
    b  = 2*(o2[1] - o1[1])
    c  = (o1[0] - o2[0])*(o1[0] + o2[0]) + (o1[1] - o2[1])*(o1[1] + o2[1])
    a2 = a**2 + b**2
    b2 = a*c + a*b*o1[1] - b**2*o1[0]
    c2 = b**2*(o1[0]**2 + o1[1]**2 - 1) + c**2 + 2*b*c*o1[1]
    x1 = (-b2 + math.sqrt(b2**2 - a2*c2))/a2
    x2 = (-b2 - math.sqrt(b2**2 - a2*c2))/a2
    if b == 0:
        y1 = (o1[1] + o2[1])/2
        y2 = (o1[1] + o2[1])/2
    else:
        y1 = -(a*x1 + c)/b
        y2 = -(a*x2 + c)/b
    if b2**2 - a2*c2 < 10e-6:
        return [x1, y1], [None, None]
    else:
        return [x1, y1], [x2, y2]

while True:
    n = int(input())
    if n == 0:
        break
    p = []
    for i in range(n):
        p.append(list(map(float, input().split(","))))
    ans = 0
    for i in range(n - 1):
        for j in range(i + 1, n):
            if not overlap(p[i], p[j], 4):
                continue
            p1, p2 = intersection(p[i], p[j])
            cnt1 = 0
            cnt2 = 0
            for k in range(n):
                if overlap(p1, p[k], 1):
                    cnt1 += 1
                if p2[0] != None and overlap(p2, p[k], 1):
                    cnt2 += 1
            ans = max([ans, cnt1, cnt2])
    print(ans)



### FIXED CODE ###

import math

def dist(p1, p2):
    return math.sqrt((p1[0] - p2[0])**2 + (p1[1] - p2[1])**2)

def intersection(o1,o2):
    if dist(o1,o2) > 2:
        p1, p2 =  [None, None], [None, None]
    elif dist(o1,o2) == 2:
        p1, p2 =  [(o1[0] + o2[0])/2, (o1[1] + o2[1])/2], [None, None]
    else:
        m = [(o1[0] + o2[0])/2, (o1[1] + o2[1])/2]
        v = [m[0] - o1[0], m[1] - o1[1]]
        v_abs = dist(v,[0,0])
        w = [v[1], -v[0]]
        w_abs = dist(w,[0,0])
        n = [w[0]/w_abs, w[1]/w_abs]
        l = math.sqrt(1 - v_abs**2)
        p1 = [m[0] + l*n[0], m[1] + l*n[1]]
        p2 = [m[0] - l*n[0], m[1] - l*n[1]]
    return p1, p2
err = 1.0e-6
while True:
    n = int(input())
    if n == 0:
        break
    p = []
    for i in range(n):
        p.append(list(map(float, input().split(","))))
    ans = 1
    for i in range(n - 1):
        for j in range(i + 1, n):
            p1, p2 = intersection(p[i], p[j])
            cnt1 = 0
            cnt2 = 0
            for k in range(n):
                if p1[0] and dist(p1, p[k]) <= 1 + err:
                    cnt1 += 1
                if p2[0] and dist(p2, p[k]) <= 1 + err:
                    cnt2 += 1
            ans = max([ans, cnt1, cnt2])
    print(ans)
A,B=map(int,input())
wa=A+B
sa=A-B
seki=A*B
kotae=max(wa,sa,seki)
print(kotae)

### FIXED CODE ###

A,B=map(int,input().split())
wa=A+B
sa=A-B
seki=A*B
kotae=max(wa,sa,seki)
print(kotae)
print(input() // 3)

### FIXED CODE ###

print(int(input())// 3)
import numpy as np
N = int(input())
#time=list(map(int,input().split()))
time=np.array(input().split(),dtype=np.int64)
M = int(input())

p={}
x={}
for i in range(M):
    p[i],x[i] = map(int, input().split())
#print(x[1])

sumT=np.sum(time)
for i in range(M):
    PP = p[i]
#    print(np.sum(time_new))
    print(sumT - time[PP-1] + x[PP-1])


### FIXED CODE ###

A, val, B = map(str, input().split())


if val=="+":
    print(int(A)+int(B))
else:
    print(int(A)-int(B))
n, t = map(int,input().split())
mydict = {}
for i in range(n):
	a, b = map(int,input().split())
	mydict.setdefault(a, b)
sortedDict = sorted(mydict.items())
k = 0
for j in sortedDict:
	k += 1
	if j[1] <= t:
		print(j[0])
        break
	if k == len(sortedDict):
		print("TLE")


### FIXED CODE ###

n,t = map(int, input().split())
a = []
b = 0
for i in range(n):
  l = list(map(int, input().split()))
  a.append(l)
a.sort()
for i in range(n):
  if a[i][1] <= t:
    b = a[i][0]
    break
if b > 0:
  print(b)
else:
  print("TLE")
import bisect, collections, copy, heapq, itertools, math, string, sys
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = float('inf')
def I(): return int(input())
def F(): return float(input())
def SS(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LSS(): return input().split()

def resolve():
    N = I()
    xy = [LI() for _ in range(N)]

    interval = []
    for i in range(N):
        for j in range(N):
            if i != j:
                interval.append((xy[i][0] - xy[j][0], xy[i][1] - xy[j][1]))

    cnt = collections.Counter(interval)
    nocost = max(cnt.values())
    ans = N - nocost
    print(ans)

if __name__ == '__main__':
    resolve()


### FIXED CODE ###

import bisect, collections, copy, heapq, itertools, math, string, sys
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = float('inf')
def I(): return int(input())
def F(): return float(input())
def SS(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LSS(): return input().split()

def resolve():
    N = I()
    xy = [LI() for _ in range(N)]

    if N == 1:
        print(1)
    else:
        interval = []
        for i in range(N):
            for j in range(N):
                if i != j:
                    interval.append((xy[i][0] - xy[j][0], xy[i][1] - xy[j][1]))

        cnt = collections.Counter(interval)
        nocost = max(cnt.values())
        ans = N - nocost
        print(ans)

if __name__ == '__main__':
    resolve()
import numpy as np
n, a = [int(i) for i in input().split()]
x = [int(i) for i in input().split()]
xs=sum(x)
dp= np.zeros((n+1,n+1,xs*n+1),dtype=int)
dp[0][0][0]=1
ans=0

for k in range(1,n+1):
  for i in range(0,k+1):
    for j in range(0,xs*n+1):
      if j>=x[k-1] and i>=1:
        dp[k][i][j]= dp[k-1][i][j] + dp[k-1][i-1][j-x[k-1]]
      else:
        dp[k][i][j]= dp[k-1][i][j] 
      
for i in range(1,n+1):
  ans+=dp[n][i][a*i]

print(ans)

### FIXED CODE ###

n, a = [int(i) for i in input().split()]
x = [int(i) for i in input().split()]

dp=[[0 for i in range(a*n+1)] for j in range(n+1)]
dp[0][0]=1
ans=0
f=0

for k in range(1,n+1):
  kx=x[k-1]
  f+=kx
  for i in range(k,0,-1):
    for j in range(kx,a*n+1):
      dp[i][j] += dp[i-1][j-kx]
      if j > f:
        break
      
for i in range(1,n+1):
  ans+=dp[i][a*i]

print(ans)
N = int(input())
H = np.array(input().split(), dtype=np.int32)

def myfunc(left, right):
    if right<left:
        return 0
    idx = left+H[left:right+1].argmin()
    m = H[idx]
    H[left:right+1]-=m
    return m+myfunc(left, idx-1)+myfunc(right, idx+1)

print(myfunc(0, N-1))

### FIXED CODE ###

import numpy as np

N = int(input())
H = np.array(input().split(), dtype=np.int32)

def myfunc(left, right):
    if right<left:
        return 0
    idx = left+H[left:right+1].argmin()
    m = H[idx]
    H[left:right+1]-=m
    return m+myfunc(left, idx-1)+myfunc(idx+1, right)

print(myfunc(0, N-1))
N, X = map(int, input().split())
L = list(map(int, input().split()))
D = 0
i = 1
while D <= X:
    D += L[i-1]
    i += 1
print(i-1)

### FIXED CODE ###

# -*-coding: utf-8 -*-
N, X = map(int, input().split())
L = list(map(int, input().split()))
D = 0
for i in range(1, N+1):
    D += L[i-1]
    # print(i+1, D)
    if D > X:
        ans = i
        break
    if i == N:
        ans = i+1

print(ans)
N=int(input())
S=input()
A=['a','b','c','d','e','f','g','h','i','j','k','l','m','n','o','p','q','r','t','u','v','w','x','y','z']
A=[i.upper() for i in A]
print(A)
S=list(S)
for i, a in enumerate(S):
    S[i]=A.index(a)+N
    S[i]=A[S[i]]

print("".join(S))

### FIXED CODE ###

N=int(input())
S=input()
A=['a','b','c','d','e','f','g','h','i','j','k','l','m','n','o','p','q','r','s','t','u','v','w','x','y','z']
A=[i.upper() for i in A]
##print(A)
S=list(S)
for i, a in enumerate(S):
    S[i]=A.index(a)+N
    if S[i]>25:
        S[i]=S[i]-26
    S[i]=A[S[i]]

print("".join(S))
from collections import Counter


N = int(input())
lstA = list(map(int, input().split()))
mod = 10**9 + 7
countA = Counter(lstA)


if N % 2:
    if countA[0] == 1 and all(countA[i] == 2 for i in range(2, N, 2)):
        ans = pow(2, N//2) % mod
    else:
        ans = 0
else:
    if all(countA[i] == 2 for i in range(1, N, 2)):
        ans = pow(2, N//2) % mod

print(ans)

### FIXED CODE ###

from collections import Counter


N = int(input())
lstA = list(map(int, input().split()))
mod = 10**9 + 7
countA = Counter(lstA)
ans = 0

if N % 2:
    if countA[0] == 1 and all(countA[i] == 2 for i in range(2, N, 2)):
        ans = pow(2, N//2, mod)
else:
    if all(countA[i] == 2 for i in range(1, N, 2)):
        ans = pow(2, N//2, mod)


print(ans)
import numpy as np
     
    s = input()
    p = np.array([0]*13)
    p[0] = 1
     
    amari = [[0]*13 for _ in range(13)]
    for j in range(10):
      for i in range(13):
        amari[i][(i*10+j)%13] += 1
    M = np.array(amari)
     
    for si in range(len(s)):
      a = np.array([0]*13)
      if s[si] == '?':
        a = np.dot(p,M)
      else:
        c = int(s[si])
        for i in range(13):
          a[(i*10+c)%13] += p[i]
      p = np.mod(a,1000000007)
    print(p[5])

### FIXED CODE ###

import numpy as np
 
s = input()
p = np.array([0]*13)
p[0] = 1
 
amari = [[0]*13 for _ in range(13)]
for j in range(10):
  for i in range(13):
    amari[i][(i*10+j)%13] += 1
M = np.array(amari)
 
for si in range(len(s)):
  a = np.array([0]*13)
  if s[si] == '?':
    a = np.dot(p,M)
  else:
    c = int(s[si])
    for i in range(13):
      a[(i*10+c)%13] += p[i]
  p = np.mod(a,1000000007)
print(p[5])
n, a, b = map(int, raw_input().split())

minN = 0
maxN = 0

if (a + b < n):
    minN = 0
else:
    minN = (a + b) - n
maxN = min(a, b)
    
print(str(maxN) + " " + str(minN))

### FIXED CODE ###

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

minN = 0
maxN = 0

if (a + b < n):
    minN = 0
else:
    minN = (a + b) - n
maxN = min(a, b)
    
print(str(maxN) + " " + str(minN))
def main():
    N,M = map(int, input().split())
    Xs = [int(s) for s in input().split()]

    # 目的地よりコマが多いなら操作は不要
    if N >= M:
        print(0)
        return

    Xs.sort()
    distance_list = []
    for i in range(M):
        if i == M-1:
            break
        distance = abs(Xs[i] - Xs[i+1])
        distance_list.append(distance)
    distance_list.sort(reverse=True)

    for i in range(N-1):
        distance_list.pop(i)

    print(sum(distance_list))


if __name__ == "__main__":
    main()


### FIXED CODE ###

def main():
    N,M = map(int, input().split())
    Xs = [int(s) for s in input().split()]

    # 目的地よりコマが多いなら操作は不要
    if N >= M:
        print(0)
        return

    Xs.sort()
    distance_list = []
    for i in range(M):
        if i == M-1:
            break
        distance = abs(Xs[i] - Xs[i+1])
        distance_list.append(distance)
    distance_list.sort(reverse=True)

    for i in range(N-1):
        distance_list.pop(0)

    print(sum(distance_list))


if __name__ == "__main__":
    main()
s = input()
s[5] = ' '
s[13] = ' '
print(s)

### FIXED CODE ###

s = input()
for i in range(len(s)):
  print(s[i] if i != 5 and i != 13 else ' ' , end ='')
from collections import Counter
w = input()

c = Counter(l)

flag = True

for i in c.values():
    if i % 2 == 1:
        flag = False
        break

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

### FIXED CODE ###

from collections import Counter
w = input()

c = Counter(w)

flag = True

for i in c.values():
    if i % 2 == 1:
        flag = False
        break

if flag:
    print("Yes")
else:
    print("No")
N,M=map(int,input().split())
A=list(map(int,input().split()))
n=[0,2,5,5,4,5,6,3,7,6]
num=[0]*8
for a in A:
    num[n[a]]=max(num[n[a]],a)
nums=[]
for i in range(8):
    if num[i]: nums.append((i,num[i]))

dp=[0]*(N+1)
for x,y in nums:
    dp[x]=y
for i in range(nums[0][0]+1,N+1):
    t=dp[i]
    for x,y in nums:
        if i-x>0:
            if dp[i-x]:
                dp[i]=max([dp[i],int(str(y)+str(dp[i-x])),dp[i-x]*10+y])
print(dp[N])

### FIXED CODE ###

import sys
N,M=map(int,input().split())
A=list(map(int,input().split()))
n=[0,2,5,5,4,5,6,3,7,6]
num=[0]*8
for a in A:
    num[n[a]]=max(num[n[a]],a)
nums=[]
for i in range(8):
    if num[i]: nums.append((i,num[i]))
#print(nums)
dp=[0]*(N+1)
for x,y in nums:
    try: dp[x]=1
    except IndexError: break
if nums[0][0]==N:
    print(nums[0][1])
    sys.exit()
for i in range(nums[0][0]+1,N+1):
    t=dp[i]
    for x,y in nums:
        if i-x>0:
            if dp[i-x]:
                t=max(t,dp[i-x]+1)
    if t:dp[i]=t
#print(dp)
nums.sort(key=lambda x:-x[1])
match=N
digit=dp[N]
for _ in range(dp[N]):
    if digit==1:
        for x,y in nums:
            if x==match:
                print(y)
                break
        break
    for x,y in nums:
        if dp[match-x]==digit-1:
            print(y,end='')
            match-=x
            digit-=1
            break
K=int(input())
x=0
if k%2==0:
  print(-1)
  exit
for i in range(1000000):
  x=(10*x+7)%K
  if x==0:
    print(i+1)
    exit
if x!=0:
  print(-1)

### FIXED CODE ###

K = int(input())
x = 7 % K #mod(K)
if K == 1 or K == 7:
  print(1)
  exit()
ans = 1
i = 0
while i < K:
  ans += 1
  x = (x * 10 + 7) % K
  
  
  if x == 0:
    print(ans)
    exit()
  i += 1
print('-1')
answer = 'Odd'
if (int(a)*int(b)%2) == 0 :
  answer = 'Even'
print(answer)

### FIXED CODE ###

a,b = input().split()
answer = "Odd"
if (int(a)*int(b)%2) == 0:
  answer = "Even"
print(answer)
N,K = (int(x) for x in input().split())
td_arr = []
for _ in range(N):
    td = tuple(int(x) for x in input().split())
    td_arr.append(td)

td_arr.sort(key=lambda x:x[1], reverse=True)

n_dm_set = set()
small_arr = []
d_dm = 0
for t,d in td_arr[:K]:
    if t in n_dm_set:
        small_arr.append(d)
    n_dm_set.add(t)
    d_dm += d

candidate_dict = {}
candidate_dict[len(n_dm_set)] = d_dm

n_x_set = set(n_dm_set)
d_x = d_dm
for t,d in td_arr[K:]:
    if t in n_x_set:
        continue
    n_x_set.add(t)
    d_x += d
    d_x -= small_arr[-1]
    small_arr = small_arr[:-1]
    candidate_dict[len(n_x_set)] = d_x

ans = 0
for k,v in candidate_dict.items():
    ans = max(ans, k*k+v)

print(ans)


### FIXED CODE ###

N,K = (int(x) for x in input().split())
t_arr = [0]*(N+1)
d_arr = [0]*(N+1)
for i in range(N):
    t,d = tuple(int(x) for x in input().split())
    t_arr[i+1] = t
    d_arr[i+1] = d

td_index = list(range(1,N+1))
td_index.sort(key=lambda x:d_arr[x], reverse=True)

n_dm_set = set()
small_arr = []
d_dm = 0
for i in td_index[:K]:
    t = t_arr[i]
    d = d_arr[i]
    if t in n_dm_set:
        small_arr.append(d)
    n_dm_set.add(t)
    d_dm += d

current_max = len(n_dm_set)**2+d_dm

n_x_set = set(n_dm_set)
d_x = d_dm
nt_x = len(n_dm_set)
for i in td_index[K:]:
    if not small_arr:
        break
    t = t_arr[i]
    d = d_arr[i]
    if t in n_x_set:
        continue
    n_x_set.add(t)
    d_x += d
    d_x -= small_arr.pop()
    nt_x += 1
    current_max = max(current_max, nt_x**2+d_x)

print(current_max)
x = int(input())

alphbet = lambda c: chr(c+64)

def Base_10_to_n(X, n):
    X_dumy = X
    out = []
    while X_dumy>0:
        out.append(X_dumy%n)
        X_dumy = int(X_dumy/n)
    return out
out = Base_10_to_n(x, 26).reverse()
print( "".join(alphbet(i) for i in out) )

### FIXED CODE ###

x = int(input())

alphbet = lambda c: chr(c+64)

def Base_10_to_n(X, n):
    X_dumy = X
    out = []
    while X_dumy > 0:
      if X_dumy % n == 0:
        out.append( 26 )
        X_dumy = int(X_dumy / n - 1)
      else:
        out.append( X_dumy % n )
        X_dumy = int(X_dumy / n)
    return out
if 1 <= x <= 1000000000000001:
    out = Base_10_to_n(x, 26)[::-1]
    print( "".join(alphbet(i) for i in out).lower())
n, k, x, y = [int(input().split()) for _ in range(4)]
print(k * x + (n - k) * y)

### FIXED CODE ###

n,k,x,y=(int(input()) for i in range(4))
if n - k > 0:
  ans = k * x + (n - k) * y
else:
  ans = n * x
print(ans)
N = int(input())
D = input().split(' ')
for i in range(N):
    D[i] = int(D[i])
D.sort()
if D[0] != 0 or 0 in D[1:]:
    print(0)
else:
    nums = []
    previous_num = D[0]
    previous_cnt = 1
    cnt = 1
    sum = 1
    for i in range(1,N):
        if D[i] != previous_num:
            previous_num = D[i]
            sum *= previous_cnt ** cnt
            previous_cnt = cnt
            cnt = 1
        else:
            cnt += 1
        if i == N-1:
            sum *= previous_cnt ** cnt
    
    print(sum)


### FIXED CODE ###

N = int(input())
N = N - 1
print(int(N/2))
# N,Q = map(int, input().split())
# S = str(input())
N,Q = 8,3
S = "ACACTACG"
L = [0] * len(S) #0はACのAでない
i = 0
while i < len(S)-1:
    if S[i] == "A":
        if S[i+1] == "C":
            L[i] = 1
            i += 1
        elif S[i+1] == "A":
            i += 1
        else:
            i += 2
    else:
        i += 1
for _ in range(Q):
    l, r = map(int, input().split())
    print(sum(L[l-1:r-1]))


### FIXED CODE ###

N,Q = map(int, input().split())
S = str(input())
# N,Q=8,3
# S = "ACACTACG"
L = [0] * len(S) #ACのAの個数を保持
i = 0
sum_i = 0
while i < len(S)-1:
    if S[i] == "A":
        if S[i+1] == "C":
            L[i] = sum_i
            sum_i += 1
            L[i+1] = sum_i
            i += 2
        elif S[i+1] == "A":
            L[i] = sum_i
            i += 1
        else:
            L[i] = sum_i
            L[i+1] = sum_i
            i += 2
    else:
        L[i] = sum_i
        i += 1
L[len(S)-1] = sum_i
for _ in range(Q):
    l, r = map(int, input().split())
    print(L[r-1] - L[l-1])
l,r=map(int,input().split())
a=[]

if r-l > 2019:
    print(0)
else:
    for i in range(l,r+1):
        for j in range(i+1,r+1):
            a.append((i*j)%2019)

print(min(a))

### FIXED CODE ###

l,r=map(int,input().split())
a=[]

if r-l > 3000:
    print(0)
else:
    for i in range(l,r+1):
        for j in range(i+1,r+1):
            a.append((i*j)%2019)
    print(min(a))
def framod(n, mod, a=1):
    for i in range(1,n+1):
        a=a * i % mod
    return a

def power(n, r, mod):
    if r == 0: return 1
    if r%2 == 0:
        return power(n*n % mod, r//2, mod) % mod
    if r%2 == 1:
        return n * power(n, r-1, mod) % mod

def comb(n, k, mod):
    a=framod(n, mod)
    b=framod(k, mod)
    c=framod(n-k, mod)
    return (a * power(b, mod-2, mod) * power(c, mod-2, mod)) % mod
for i in range( 2, N + 1 ):
    g1.append( ( g1[-1] * i ) % mod )
    inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
    g2.append( (g2[-1] * inverse[-1]) % mod )

x, y = map(int, input().split())
if  x/y > 2 or y/x > 2:
    print(0)
else:
    if (2*x-y)%3 != 0 or (2*y - x)%3 != 0:
        print(0)
    else:
        a = (2*x-y) / 3
        b = (2*y-x) / 3
        a, b = int(a), int(b)
        mod = 10**9 + 7
        print(comb(a+b, a, mod))

### FIXED CODE ###

def framod(n, mod, a=1):
    for i in range(1,n+1):
        a=a * i % mod
    return a

def power(n, r, mod):
    if r == 0: return 1
    if r%2 == 0:
        return power(n*n % mod, r//2, mod) % mod
    if r%2 == 1:
        return n * power(n, r-1, mod) % mod

def comb(n, k, mod):
    a=framod(n, mod)
    b=framod(k, mod)
    c=framod(n-k, mod)
    return (a * power(b, mod-2, mod) * power(c, mod-2, mod)) % mod

x, y = map(int, input().split())
if  x/y > 2 or y/x > 2:
    print(0)
else:
    if (2*x-y)%3 != 0 or (2*y - x)%3 != 0:
        print(0)
    else:
        a = (2*x-y) / 3
        b = (2*y-x) / 3
        a, b = int(a), int(b)
        mod = 10**9 + 7
        print(comb(a+b, a, mod))
a1 = list(map(int, input().split()))
a2 = list(map(int, input().split()))
a3 = list(map(int, input().split()))
n = int(input())
c = "check"
for i in range(n):
    v = int(input())
    ind = 0
    if v in a1 :
        ind = a1.index(v)
        a1[ind] = c
    if v in a2 :
        ind = a2.index(v)
        a2[ind] = c
    if v in a3 :
        ind = a3.index(v)
        a3[ind] = c

if ((a1[0] == c and a2[0] == c and a3[0] == c) or  
    (a1[1] == c and a2[1] == c and a3[1] == c) or 
    (a1[2] == c and a2[2] == c and a3[2] == c) or 
    (a1[0] == c and a2[1] == c and a3[2] == c) or
    (a1[2] == c and a2[1] == c and a3[3] == c) or
    a1.count(c) == 3 or
    a2.count(c) == 3 or
    a3.count(c) == 3):
    print("Yes")
else:
    print("No")

### FIXED CODE ###

a1 = list(map(int, input().split()))
a2 = list(map(int, input().split()))
a3 = list(map(int, input().split()))
n = int(input())
c = "check"
for i in range(n):
    v = int(input())
    ind = 0
    if v in a1 :
        ind = a1.index(v)
        a1[ind] = c
    if v in a2 :
        ind = a2.index(v)
        a2[ind] = c
    if v in a3 :
        ind = a3.index(v)
        a3[ind] = c

if ((a1[0] == c and a2[0] == c and a3[0] == c) or  
    (a1[1] == c and a2[1] == c and a3[1] == c) or 
    (a1[2] == c and a2[2] == c and a3[2] == c) or 
    (a1[0] == c and a2[1] == c and a3[2] == c) or
    (a1[2] == c and a2[1] == c and a3[0] == c) or
    a1.count(c) == 3 or
    a2.count(c) == 3 or
    a3.count(c) == 3):
    print("Yes")
else:
    print("No")