Harryxun/stf_run huggingface dataset:
def rem(x,r):
  if x <= 2*r:
    return -1
  ret = []
  for i in range(1,x):
    if x%i == r:
      ret.append([i])
    else:
      s = rem(x%i,r)
      if s == -1:
        continue
      else:
        for j in s:
          if j == -1:
            continue
          elif j[-1] < i:
            ret.append([i]+j)
          else:
            ret.append([i]+j)
  return ret
n = int(input())
x = list(map(int,input().split()))
y = list(map(int,input().split()))
for xx,yy in zip(x,y):
  if xx != yy and rem(xx,yy) == -1:
    print(-1)
    exit()
ls = [rem(xx,yy) if xx != yy else 0 for xx,yy in zip(x,y)]
mxls = [ls[i][0][0] if type(ls[i]) == list else 0 for i in range(n)]
mx = max(mxls)
ansst = set()
ansst.add(mx)
flg = [0]*n
while True:
  for i in range(n):
    if x[i]%mx == y[i]:
      flg[i] = 1
      mxls[i] = 0
      continue
    r = rem(x[i]%mx,y[i])
    if r != -1 and r[0][0] <= mxls[i]:
      mxls[i] = r[0][0]
      x[i] %= mx
  mx = max(mxls)
  ansst.add(mx)
  if flg.count(1) == n:
    break
ans = -1
for b in ansst:
  ans += 2**b
print(ans)

### FIXED CODE ###

def rem(x,r):
  if (x,r) == (1,0):
    return [[1]]
  if x <= 2*r:
    return -1
  ret = []
  for i in range(1,x+1):
    if x%i == r:
      ret.append([i])
    else:
      s = rem(x%i,r)
      if s == -1:
        continue
      else:
        for j in s:
          if j == -1:
            continue
          elif j[-1] < i:
            ret.append([i]+j)
          else:
            ret.append([i]+j)
  return ret
n = int(input())
x = list(map(int,input().split()))
y = list(map(int,input().split()))
for xx,yy in zip(x,y):
  if xx != yy and rem(xx,yy) == -1:
    print(-1)
    exit()
ls = [rem(xx,yy) if xx != yy else 0 for xx,yy in zip(x,y)]
flg = [0]*n
def findmx(lsi,ansst,mx):
  ret = 100
  if lsi == 0:
    return 0
  for lsls in lsi:
    for j in lsls:
      if j > mx:
        return min(j,ret)
      elif j in ansst:
        continue
      else:
        ret = min(j,ret)
        break
    else:
      return 0
  else:
    return ret
    
mxls = [ls[i][0][0] if type(ls[i]) == list else 0 for i in range(n)]
mx = max(mxls)
ansst = set((mx,))
mxcand = mx
while mxcand:
  for i in range(n):
    t = findmx(ls[i],ansst,mx)
    mxls[i] = t
    if t == 0:
      flg[i] = 1
  mxcand = max(mxls)
  ansst.add(mxcand)
  if flg.count(1) == n:
    break
ans = 0
for b in ansst:
  if b:
    ans += 2**b
print(ans)
i = int(input())
j = input()
    
print(count('ABC'))

### FIXED CODE ###

i = int(input())
j = input()
    
print(j.count('ABC'))
n = int(input())
r = 0
a = 0
b = 0
for _i in range(n):
    s = input()
    r += s.count("AB")
    B = 0
    if s[-1]=="A":
        if b > 0:
            b -= 1
            r += 1
        else:
            A += 1
    if s[0]=="B":
        if a > 0:
            a -= 1
            r += 1
        else:
            B += 1
    a += A
    b += B


print(r)

### FIXED CODE ###

n = int(input())
r = 0
a = 0
b = 0
ab = 0
for _i in range(n):
    s = input()
    r += s.count("AB")
    B = 0
    A = 0
    if s[-1]=="A":
        a += 1
    if s[0]=="B":
        b += 1
    if s[-1]=="A" and s[0]=="B":
        ab += 1
if ab == a and ab == b:
    print(r+max(0, ab-1))
else:
    print(r+min(a, b))
s = input()
if len(set(s.sort())) == 4:
    print("Good")
else:
    print("No")

### FIXED CODE ###

s = input()
if s[0] != s[1] != s[2] != s[3]:
    print("Good")
else:
    print("Bad")
s,c = map(int, raw_input().split())
 
scc = 0
if s*2 <= c:
  scc = s
  c -= s*2
else:
  scc = c/2
print  scc + c/4

### FIXED CODE ###

import math
 
n = int(raw_input())
mod = pow(10,9) + 7
ans = 1
for i in xrange(1,n+1):
  ans = (ans*i)%mod
 
print ans
arr = input.split()
r = int(arr[0])
d = int(arr[1])
x = int(arr[2])

for i in range(0,10):
  x = r*x - d
  print(x)

### FIXED CODE ###

arr = input().split()
r = int(arr[0])
d = int(arr[1])
x = int(arr[2])

for i in range(0,10):
  x = r*x - d
  print(x)
n=int(input())
L=[]
for _ in range(n):
    l=list(map(int,input().split()))
    L.append(l)
pq=[]
ans=[]
for i in range(n-1):
    for j in range(i+1,n):
        x=L[i][0]-L[j][0]
        y=L[i][1]-L[j][1]
        if [x,y] in pq:
            ans[pq.index([x,y])] += 1
        elif [-x,-y] in pq:
            ans[pq.index([-x,-y])] += 1
        else:
            pq.append([x,y])
            ans.append(1)

print(n-max(ans))

### FIXED CODE ###

n=int(input())
L=[]
for _ in range(n):
    l=list(map(int,input().split()))
    L.append(l)
if n==1:
    print(1)
    exit()
pq=[]
ans=[]
for i in range(n-1):
    for j in range(i+1,n):
        x=L[i][0]-L[j][0]
        y=L[i][1]-L[j][1]
        if [x,y] in pq:
            ans[pq.index([x,y])] += 1
        elif [-x,-y] in pq:
            ans[pq.index([-x,-y])] += 1
        else:
            pq.append([x,y])
            ans.append(1)

print(n-max(ans))
n = int(intput())
res = n // 2
if n % 2 == 1:
  res += 1
print(res)

### FIXED CODE ###

n = int(input())
res = n // 2
if n % 2 == 1:
  res += 1
print(res)
n,k,x,y=map(int, input().split())
tmp=0
if n>=k:
    print(x*k+y*(n-k))
else:
    print(x*n)

### FIXED CODE ###

n=int(input())
k=int(input())
x=int(input())
y=int(input())
print(min(n,k)*x+max(n-k,0)*y)
l = input().split()
     
    if l[0] == l[1]:
      print('Yes')
    else:
      print('No')

### FIXED CODE ###

ls = [int(i) for i in input().split()]

if ls[0] == ls[1]:
  print('Yes')
else :
  print('No')
N=int(input())
X=input()
a=int(X,2)

def popcount(x):
  return bin(x).count("1")

pl=a%(popcount(a)+1)
if popcount!=1:
  mi=a%(popcount(a)-1)

def f(x):
  if x==0:
    return 1
  else:
    return f(x%popcount(x))+1

for i in range(N):
  if X[i]=='0':
    b=pl
    b+=pow(2,N-i-1,popcount(a)+1)
    b%=popcount(a)+1
  else:
    if popcount(a)-1!=0:
      b=mi
      b-=pow(2,N-i-1,popcount(a)-1)
      b%=popcount(a)-1
    else:
      print(0)
      continue
  print(f(b))

### FIXED CODE ###

N=int(input())
X=input()
a=int(X,2)

def popcount(x):
  return bin(x).count("1")
p=X.count('1')

pl=a%(p+1)
if p!=1:
  mi=a%(p-1)

def f(x):
  if x==0:
    return 1
  else:
    return f(x%popcount(x))+1

for i in range(N):
  if X[i]=='0':
    b=pl
    b+=pow(2,N-i-1,p+1)
    b%=p+1
  else:
    if p!=1:
      b=mi
      b-=pow(2,N-i-1,p-1)
      b%=p-1
    else:
      print(0)
      continue
  print(f(b))
N=int(input())
L=[]
for i for range(N):
  L.append(str(input()))
A=list(set(L))
print(len(A))

### FIXED CODE ###

N=int(input())
L=[]
for i in range(N):
  L.append(str(input()))
A=list(set(L))
print(len(A))
N,K = map(int,input().split())
h = list(map(int,input().split()))
ans = 0
for x in h:
  if h >= K:
    ans += 1
print(ans)

### FIXED CODE ###

N,K = map(int,input().split())
h = list(map(int,input().split()))
ans = 0
for x in h:
  if x >= K:
    ans += 1
print(ans)
H,W=map(int,input().split())
S=[input() for i in range(H)]
ans="No"
for i in range(W):
    for j in range(H):
        if S[i][j]=='#':
            if i>0 and S[i-1][j]=='#':
                ans="Yes"
            if i<W-1 and S[i+1][j]=='#':
                ans="Yes"
            if j>0 and S[i][j-1]=='#':
                ans="Yes"
            if j<H-1 and S[i][j+1]=='#':
                ans="Yes"
print(ans)

### FIXED CODE ###

H,W=map(int,input().split())
S=[input() for i in range(H)]
ans="Yes"
for i in range(H):
    for j in range(W):
        Tonari=[]
        if i>0:
            Tonari.append(S[i-1][j])
        if i<H-1:
            Tonari.append(S[i+1][j])
        if j>0:
            Tonari.append(S[i][j-1])
        if j<W-1:
            Tonari.append(S[i][j+1])
        if S[i][j]=='#' and all([t=='.' for t in Tonari]):
            ans="No"
print(ans)
def main():
    N,W = map(int, input().split())
    w,v = [0]*N,[0]*N
    for i in range(N):
        w[i],v[i] = map(int, input().split())
    # dp[i][w] := 容量をwとして荷物0~iの中から荷物を選んだ時の価値の最大値
    # ではなく...
    # dp[i][v] := 荷物0~iの中から荷物を選んで価値vを超える時の重さ合計の最小値
    # 初期値dp[0][v] = 0の重さ(もし0の価値がvを超えないならINF)
    V = 1000*100
    INF = float("inf")
    dp = [[INF]*(V+1) for i in range(N)]
    for x in range(V+1):
        dp[0][x] = INF if v[0]<x else w[0]
    for i in range(N-1):
        for j in range(V+1):
            if j>=v[i+1]:
                # i+1番目を選ぶ
                dp[i+1][j] = min(dp[i+1][j], (dp[i][j-v[i+1]])+w[i+1])
            # i+1番目を選ばない
            dp[i+1][j] = min(dp[i+1][j], dp[i][j])
    # dpのうちW以下であるものの価値の最大値
    for val in range(V,,-1):
        if dp[-1][val]<=W:
            print(val)
            break

main()


### FIXED CODE ###

def main():
    N,W = map(int, input().split())
    w,v = [0]*N,[0]*N
    for i in range(N):
        w[i],v[i] = map(int, input().split())
    # dp[i][w] := 容量をwとして荷物0~iの中から荷物を選んだ時の価値の最大値
    # ではなく...
    # dp[i][v] := 荷物0~iの中から荷物を選んで価値vを超える時の重さ合計の最小値
    # 初期値dp[0][v] = 0の重さ(もし0の価値がvを超えないならINF)
    V = N*max(v)
    INF = float('inf')
    dp = [[INF]*(V+1) for i in range(N)]
    for x in range(V+1):
        dp[0][x] = INF if x>v[0] else w[0]
    dp[0][0] = 0
    for i in range(N-1):
        for j in range(V+1):
            if j>=v[i+1]:
                # i+1番目を選ぶ
                dp[i+1][j] = min(dp[i+1][j], (dp[i][j-v[i+1]])+w[i+1])
            # i+1番目を選ばない
            dp[i+1][j] = min(dp[i+1][j], dp[i][j])

    # dp[N-1]のうちW以下であるものの価値の最大値
    for val in range(V,-1,-1):
        if dp[-1][val]<=W:
            print(val)
            break
main()
s = input()
t = input()

a = int(input())
b = int(input())

u = input()
if u == s:
    a -= 1
elif u == t:
    b -= 1
print(a +" " + b)

### FIXED CODE ###

color = input().split()

num = input().split()
a = int(num[0])
b = int(num[1])


u = input()
if u == color[0]:
    a -= 1
elif u == color[1]:
    b -= 1
print(str(a) + ' ' + str(b))
a,b=input2()
count=1

for i in range(1,21):
	count=count-1+a
	if count>=b:
		print(i)
		break

### FIXED CODE ###

#入力:N,M(int:整数)
def input2():
	return map(int,input().split())

a,b=input2()
count=1
if b<=1:
	print(0)
else:
	for i in range(1,21):
		count=count-1+a
		if count>=b:
			print(i)
			break
from itertools import*
from numpy import*
n,*a=map(int,open(0).read().split())
a=array(a)
count=0
ans=0
while 1:
    count=min(a[a!=0])
    ans+=count*sum(k for k,v in groupby(a>0)if k==True)
    a=a-min(a[a!=0])
    a[a<0]=0
    if sum(a)==0:
        break
print(ans)

### FIXED CODE ###

from itertools import*
from numpy import*
n,*a=map(int,open(0).read().split())
if set(a)=={0}:
    print(0)
    exit()
a=array(a)
count=0
ans=0
while 1:
    count=min(a[a!=0])
    ans+=count*sum(k for k,v in groupby(a>0)if k==True)
    a=a-min(a[a!=0])
    a[a<0]=0
    if sum(a)==0:
        break
print(ans)
S, N = map(int, input().split())
S[N-1] = S[N-1].lower()
print()

### FIXED CODE ###

N, K = map(int, input().split())
S = input()
print(S[:K-1] + S[K-1].lower() + S[K:])
a = input()
if a == "Sunny":
    print("Cloudy")
elif a == "Rainy":
    print("Sunny")
else a == "Cloudy":
    print("Rainy")

### FIXED CODE ###

a = input()
if a == "Sunny":
    print("Cloudy")
elif a == "Rainy":
    print("Sunny")
elif a == "Cloudy":
    print("Rainy")
d = int(input())
c = list(map(int, input().split()))
score = []
for i in range(d):
    score.append(list(map(int, input().split())))
last_day = [0 for i in range(26)]
k = 0
for i in range(d):
    ans = 0
    max_score = -10**9
    for j in range(1, 27):
        s = score[i][j-1]
        for k in range(1,27):
            if j == k:
                continue
            else:
                s -= c[k-1] * (d - i+1 - last_day[k-1])
        if s > max_score:
            ans = j
            max_score = s
    last_day[ans] = i+1
    print(ans)
    k += max_score

### FIXED CODE ###

d = int(input())
c = list(map(int, input().split()))
score = []
for i in range(d):
    score.append(list(map(int, input().split())))
for i in range(d):
    print(score[i].index(max(score[i])) + 1)
import math
def solve(N, X, cities):
    dists = [abs(city - X) for city in cities]
    min_d = min(dists)
    return max([math.gcd(min_d, d) for d in dists])

if __name__ == "__main__":
    l = input()
    N, X = int(l.split()[0]),int(l.split()[1])
    cities = [int(c) for c in input().split()]
    print(solve(N, X, cities))


### FIXED CODE ###


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

def solve(N, X, cities):
    dists = [abs(city - X) for city in cities]
    ans = min(dists)
    for d in dists:
        if d % ans == 0:
            continue
        else:
            ans = gcd(ans, d % ans)
    return ans

if __name__ == "__main__":
    l = input()
    N, X = int(l.split()[0]),int(l.split()[1])
    cities = [int(c) for c in input().split()]
    print(solve(N, X, cities))
from decimal import Decimal as deci
*a, = map(int, input().split())
if deci(a[0]) == deci(a[1]):
    print("EQUAL")
else:
    print("GREATER" if deci(a[0]) > deci(a[1]) else "LESS")


### FIXED CODE ###

a = [int(input()) for _ in range(2)]
if a[0] == a[1]:
    print("EQUAL")
else:
    print("GREATER" if a[0] > a[1] else "LESS")
import sys
input = sys.stdin.readline

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

graph=[[] for _ in range(n+1)]
values=[0]*(n+1)

for a,b in AB:
    graph[a].append(b)
    graph[b].append(a)

for p,x in PX:
    values[p]+=x

#print(graph)

def dfs(x,parent,add):
    values[x]+=add
    for i in graph[x]:
        if i==parent:
            continue
        dfs(i,x,values[x])

dfs(1,0,0)

print(' '.join(map(str,values[1:])))


### FIXED CODE ###

import sys
input = sys.stdin.readline
sys.setrecursionlimit(10 ** 7)

# 遅延評価で加えてあげるだけ

N,Q = map(int,input().split())
AB = [[int(x) for x in input().split()] for _ in range(N-1)]
PX = [[int(x) for x in input().split()] for _ in range(Q)]

graph = [[] for _ in range(N+1)]
for a,b in AB:
    graph[a].append(b)
    graph[b].append(a)

value = [0] * (N+1)
for p,x in PX:
    value[p] += x

def dfs(v,parent,add):
    value[v] += add
    for x in graph[v]:
        if x == parent:
            continue
        dfs(x,v,value[v])

dfs(1,0,0)

answer = ' '.join(map(str,value[1:]))
print(answer)
from itertools import accumulate
# Eratosthenes
def eratosthenes(n):
    prime_table = [False,False,True]+[False if i%2!=0 else True for i in range(n-2)]
    i=3
    while i*i<=n:
        if prime_table[i]:
            j=i*i
            while j<=n:
                prime_table[j]=False
                j+=i
        i+=2
    return prime_table

pt=eratosthenes(10001)
ok=[0 for i in range(10001)]
i=1
while i<10001:
    if pt[i] and pt[(i+1)//2]:
        ok[i]=1
    i+=2
ok=list(accumulate(ok))

q=int(input())
for i in range(q):
    l,r=map(int,input().split())
    print(ok[r]-ok[l-1])
    


### FIXED CODE ###

from itertools import accumulate
# Eratosthenes
def eratosthenes(n):
    prime_table = [False,False,True]+[False if i%2!=0 else True for i in range(n-2)]
    i=3
    while i*i<=n:
        if prime_table[i]:
            j=i*i
            while j<=n:
                prime_table[j]=False
                j+=i
        i+=2
    return prime_table

pt=eratosthenes(100000)
ok=[0 for i in range(100000)]
i=1
while i<100000:
    if pt[i] and pt[(i+1)//2]:
        ok[i]=1
    i+=2
ok=list(accumulate(ok))

q=int(input())
for i in range(q):
    l,r=map(int,input().split())
    print(ok[r]-ok[l-1])
def Base_10_to_9(X):
    if (int(X/9)):
        return Base_10_to_9(int(X/9))+str(X%9)
    return str(X%9)
if Base_10_to_9(int(input()))[-1] == '0':
    print('Yes')
else:
    print('No')

### FIXED CODE ###

N = int(input())
if N % 9 == 0:
    print('Yes')
else:
    print('No')
import math
import string
import collections
from collections import Counter
from collections import deque


def readints():
    return list(map(int, input().split()))


def nCr(n, r):
    return math.factorial(n)//(math.factorial(n-r)*math.factorial(r))


def has_duplicates2(seq):
    seen = []
    for item in seq:
        if not(item in seen):
            seen.append(item)
    return len(seq) != len(seen)


def divisor(n):
    divisor = []
    for i in range(1, n+1):
        if n % i == 0:
            divisor.append(i)
    return divisor


# coordinates
dx = [-1, -1, -1, 0, 0, 1, 1, 1]
dy = [-1, 0, 1, -1, 1, -1, 0, 1]

N, M = map(int, input().split())
a = []
for _ in range(M):
    a.append(int(input()))

safe = [True]*(N+1)
for i in range(M):
    safe[(a[i])] = False


def func(i):
    global safe

    if not(safe[i]):
        return 0
    if i == 0:
        return 1
    if i == 1:
        return 1
    if i >= 2:
        return func(i-1)+func(i-2)


print(func(N) % 1000000007)

# print(a)
# dp = [0]*(N+1)
# print('safe', safe)
# dp[0] = 1
# if safe[1]:
#    dp[1] = 1
# for i in range(2, N+1):
#    if safe[i]:
#        dp[i] = dp[i-1]+dp[i-2]
#    if not(safe[i]):
#        dp[i] = 0
# print('dp', dp)
# print(dp[N] % 1000000007)


### FIXED CODE ###

import math
import string
import collections
from collections import Counter
from collections import deque


def readints():
    return list(map(int, input().split()))


def nCr(n, r):
    return math.factorial(n)//(math.factorial(n-r)*math.factorial(r))


def has_duplicates2(seq):
    seen = []
    for item in seq:
        if not(item in seen):
            seen.append(item)
    return len(seq) != len(seen)


def divisor(n):
    divisor = []
    for i in range(1, n+1):
        if n % i == 0:
            divisor.append(i)
    return divisor


# coordinates
dx = [-1, -1, -1, 0, 0, 1, 1, 1]
dy = [-1, 0, 1, -1, 1, -1, 0, 1]

N, M = map(int, input().split())
a = []
for _ in range(M):
    a.append(int(input()))
# print(a)
dp = [0]*(N+1)
#dp[0] = 1
#dp[1] = 1
# for i in range(2, N):
#    dp[i] = dp[i-1]+dp[i-2]
safe = [True]*(N+1)
for i in range(M):
    safe[(a[i])] = False
#print('safe', safe)
dp[0] = 1
if safe[1]:
    dp[1] = 1
for i in range(2, N+1):
    if safe[i]:
        dp[i] = dp[i-1]+dp[i-2]
    if not(safe[i]):
        dp[i] = 0
#print('dp', dp)
print(dp[N] % 1000000007)
K = int(input())
l = [i for i in range(1,10)]

def func(x):
    y = x%10
    if y == 0:
        return [x*10,x*10+1]
    elif y == 9:
        return [x*10+8,x*10+9]
    else:
        return [x*10+y-1,x*10+y,x*10+y+1]

li1 = l[:]
li2 = []
if K < 10:
    print(K)
else:
    while True:
        for i in li1:
            a = func(i)
            li2.extend(a)
        l.extend(li2)
        if len(l) >=K:
            break
        else:
            li1 = li2[:]
            li2 = []
    print(l[K-1])


### FIXED CODE ###


N,X,Y = map(int,input().split())
l = [0]*N

for i in range(1,N):
    for j in range(i+1,N+1):
        a = min(abs(i-j),abs(X-i)+1+abs(j-Y),abs(Y-i)+1+abs(j-X))
        l[a] += 1

[print(i) for i in l[1:]]
n = int(input())
s = map(int, input().split())
def solution(s):
    cost = 0
    mean = round(sum(s)/len(s))
    for i in s:
        cost += abs(i-mean) ** 2
        #print(f"DEBUG >> {mean} {i} {cost}")
    return cost
  
print(solution(s))

### FIXED CODE ###

n = int(input())
s = [int(c) for c in input().split()]
def solution(s):
    cost = 0
    mean = round(sum(s)/len(s))
    for i in s:
        cost += abs(i-mean) ** 2
        #print(f"DEBUG >> {mean} {i} {cost}")
    return cost
  
print(solution(s))
N = int(input())
if N[0] == 7, or N[1] == 7, N[2] == 7:
  print('Yes')
else:
  print('No')

### FIXED CODE ###

N = input()
if '7' in N:
  print('Yes')
else:
  print('No')
import re

def main(s):
    #文字列sに同じ文字がn個以上連続している部分文字列を見つける
    n = 2
    # カンマを取ると n 個ちょうどになる
    reg = re.compile("(.)\\1{%d,}" %(n-1))
    while True:
        m = reg.search(s)
        if not m:
            break
        yield m.group(0)
        s = s[m.end():]


if __name__ == "__main__":
    s = input()
    K = int(input())

    # 1文字の場合
    if len(s) == 1:
        print(K // 2)
        exit()

    t = list(main(s))

    # 全ての文字が同じ場合
    if len(t) == 1 and len(t[0]) == len(s):
        print((len(s) * K) // 2)
        exit()

    # 先頭と末尾が同じ場合
    ans1 = 0
    if len(s) >= 3 and s[0] == s[-1]:
        if len(t) >= 2 and t[0][0] == s[0] and t[-1][0] == s[-1]:
            ans1 = len(t[0]) // 2 + len(t[-1]) // 2 - ((len(t[0]) + len(t[-1])) // 2)
            ans *= K-1
        
        elif len(t) >= 1 and t[0][0] != s[0]:
            ans1 = len(t[-1]) // 2 - ((1 + len(t[-1])) // 2)
            ans1 *= K-1
        
        elif len(t) >= 1 and t[0][0] != s[0]:
            ans1 = len(t[0]) // 2 - ((len(t[0] + 1)) // 2)
            ans1 *= K-1
        
        else:
            ans1 = -1 * (K-1)

    # 先頭と末尾が異なる場合
    ans2 = 0
    for i in t:
        ans2 += len(i) // 2
    ans2 *= K

    ans = -ans1 + ans2
    print(ans)

### FIXED CODE ###

import re

def main(s):
    #文字列sに同じ文字がn個以上連続している部分文字列を見つける
    n = 2
    # カンマを取ると n 個ちょうどになる
    reg = re.compile("(.)\\1{%d,}" %(n-1))
    while True:
        m = reg.search(s)
        if not m:
            break
        yield m.group(0)
        s = s[m.end():]


if __name__ == "__main__":
    s = input()
    K = int(input())

    # 1文字の場合
    if len(s) == 1:
        print(K // 2)
        exit()

    t = list(main(s))

    # 全ての文字が同じ場合
    if len(t) == 1 and len(t[0]) == len(s):
        print((len(s) * K) // 2)
        exit()

    # 先頭と末尾が同じ場合
    ans1 = 0
    if len(s) >= 3 and s[0] == s[-1]:
        if len(t) >= 2 and t[0][0] == s[0] and t[-1][0] == s[-1]:
            ans1 = len(t[0]) // 2 + len(t[-1]) // 2 - ((len(t[0]) + len(t[-1])) // 2)
            ans1 *= K-1
        
        elif len(t) >= 1 and t[0][0] != s[0]:
            ans1 = len(t[-1]) // 2 - ((1 + len(t[-1])) // 2)
            ans1 *= K-1
        
        elif len(t) >= 1 and t[-1][0] != s[-1]:
            ans1 = len(t[0]) // 2 - ((len(t[0] + 1)) // 2)
            ans1 *= K-1
        
        else:
            ans1 = -1 * (K-1)

    # 先頭と末尾が異なる場合
    ans2 = 0
    for i in t:
        ans2 += len(i) // 2
    ans2 *= K

    ans = -ans1 + ans2
    print(ans)
a, b, k = map(int, input().split())
arr = list(range(a, b+1))
for i in sorted(set((arr[:k]+arr[-k:]))):
    print(i)

### FIXED CODE ###

a, b, k = map(int, input().split())
arr = range(a, b+1)
for i in sorted(set(arr[:k]) | set(arr[-k:])):
    print(i)
def fib(n):
    if n == 1 or n == 2:
        return 1
    else:
        return (fib(n - 1) + fib(n - 2)) % (10 ** 9 + 7)

def counter(n):
    if n == 1:
        return 0
    else:
#        f = round(phi**(n) / math.sqrt(5)) % (10**9+7)
        return fib(n)
N, M = map(int, input().split())
a = [int(input()) for _ in range(M)]
ans = fib(a[0])
for i in range(1,M):
    ans = (ans * counter(a[i]-a[i-1]-1)) % (10**9+7)
ans = ans * fib(N - a[-1]) % (10**9+7)
print(ans)

### FIXED CODE ###

def fib(n):
    if n == 1 or n == 2:
        return 1
    else:
        a = 1
        b = 0
        for _ in range(n-1):
            (a, b) = (a+b, a)
        return a % (10 ** 9 + 7)


def counter(n):
    if n == 0:
        return 0
    else:
#        f = round(phi**(n) / math.sqrt(5)) % (10**9+7)
        return fib(n)


N, M = map(int, input().split())
a = [int(input()) for _ in range(M)]
if M == 0:
    print(counter(N+1))
    exit()
a.append(N+1)
ans = counter(a[0])
for i in range(1,M+1):
    ans = (ans * counter(a[i]-a[i-1]-1)) % (10**9+7)
print(ans)