Harryxun/sft_time huggingface dataset:
### BUGGY CODE ###

# https://atcoder.jp/contests/abc054/tasks/abc054_c

import copy
import sys
input = sys.stdin.readline

# 頂点, 辺の数
N, M = map(int, input().split())

# グラフのリスト
# 各頂点からどこの頂点に向かう辺があるかどうかという情報
Graph_list = [[] for i in range(N)]

# 入力
for i in range(M):
    a, b = map(int, input().split())
    a += -1
    b += -1

    # 無向グラフなのでa, b両方
    Graph_list[a].append(b)
    Graph_list[b].append(a)

ans_count = 0
throwgh_point_list = [-1 for i in range(N)]

def dfs(i, current, throwgh_point_list, ans_point_list):   
    # 頂点をN個通ったら終了処理
    if i >= N-1:
        # 最後の点を追加
        throwgh_point_list[i] = current

        # すでにカウント済の経路である場合
        if throwgh_point_list in ans_point_list:
            return

        # すでにカウント済ではないかつ全ての点に到達している場合
        # 順不同で比較
        if set(throwgh_point_list) == set(list(range(N))):
            global ans_count
            ans_count += 1
            ans_point_list.append(copy.copy(throwgh_point_list))
        return

    for j in Graph_list[current]:
        # 現在地を書き込む
        throwgh_point_list[i] = current

        # 次の点に移動する        
        dfs(i + 1, j, throwgh_point_list, ans_point_list)

dfs(0, 0, throwgh_point_list, [])
print(ans_count)

### FIXED CODE ###

# https://atcoder.jp/contests/abc054/tasks/abc054_c

import copy
import sys
input = sys.stdin.readline

# 頂点, 辺の数
N, M = map(int, input().split())

# グラフのリスト
# 各頂点からどこの頂点に向かう辺があるかどうかという情報
Graph_list = [[] for i in range(N)]

# 入力
for i in range(M):
    a, b = map(int, input().split())
    a += -1
    b += -1

    # 無向グラフなのでa, b両方
    Graph_list[a].append(b)
    Graph_list[b].append(a)

ans_count = 0           # 正解の経路の数
visited = [False] * N
visited[0] = True

def dfs(i, current, visited):   
    # 頂点をN個通ったら終了処理
    if i >= N-1:

        # 全ての点に到達している場合
        if all(visited):
            global ans_count
            ans_count += 1
            return 
        return 

    for j in Graph_list[current]:
        if visited[j] == False:
            # 現在地を書き込む
            visited[j] = True
            # 次の点に移動する        
            dfs(i + 1, j, visited)

            visited[j] = False

dfs(0, 0, visited)
print(ans_count)
### BUGGY CODE ###

S = input()
N = len(S)

counter = 0
i = 0
while(True):
    if not '0' in S or not '1' in S or S == '':
        break
    if S[i:i+2] == '01' or S[i:i+2] == '10':
        S_list = list(S)
        S_list.pop(i)
        S_list.pop(i)
        S_str = ''
        for j in S_list:
            S_str += j
        S = S_str
        counter += 2
        i -= 1
    else:
        i += 1

print(counter)


### FIXED CODE ###

S = input()
N = len(S)

count0 = S.count('0')
count1 = S.count('1')
ans = 2 * min(count0, count1)
print(ans)
### BUGGY CODE ###

#import sys

#input = sys.stdin.readline

#import heapq
import math
import fractions

def sosuhante(n):
    for k in range(2, int(math.sqrt(n))+1):
        if n% k ==0:
            return False
    return True

def main():
#    h,w,a,b = map(int, input().split())
    a,b=map(int,input().split())
    m=2
    k=1

    count=1
    if a>b:
        a,b=b,a
    sosu=set()
    #d = math.gcd(a,b)
#    print(d)
    c=math.sqrt(a)+1
 #   print(c)
    while m<=a:
        if a%m==0:
            sosu.add(m)
            if b%m==0:
                count+=1
            while a%m==0:
                a//=m

        m+=1
#    if sosuhante(a):
  #      if a not in sosu:
  #          if b%a==0:
  #              count+=1

#    print(sosu)
#    for i in sosu:
 #       if b%i==0:
 #           count+=1



    print(count)
#    for i in range(h):
#            print(aaa)

if __name__ == "__main__":
    main()

### FIXED CODE ###

#import sys

#input = sys.stdin.readline

#import heapq
import math
import fractions

def sosuhante(n):
    for k in range(2, int(math.sqrt(n))+1):
        if n% k ==0:
            return False
    return True

def main():
#    h,w,a,b = map(int, input().split())
    a,b=map(int,input().split())
    m=4
    k=1

    count=1
    if a>b:
        a,b=b,a
    sosu=set()
    a = fractions.gcd(a,b)
    if a%2==0:
        sosu.add(2)
        while a%2==0:
            a//=2
    if a%3==0:
        sosu.add(3)
        while a%3==0:
            a//=3
#    print(d)
    c=math.sqrt(a)+1
 #   print(c)
    while m<=c and m!=1:
        if a%m==0:
            sosu.add(m)
            while a%m==0:
                a//=m

        m+=1
#    print(sosu)
    if sosu==set() and a!=1:
        sosu.add(a)
    if sosuhante(a) and a!=1:
        sosu.add(a)
#    print(sosu)
    count+=len(sosu)
    print(count)
#    for i in range(h):
#            print(aaa)

if __name__ == "__main__":
    main()
### BUGGY CODE ###

N, C, K = list(map(int, input().split()))

passengers = sorted([int(input()) for i in range(N)])
res = {}

for p in passengers:
    key = False
    for k in res.keys():
        if k <= p and p <= k + K and res[k] <= C - 1:
            res[k] += 1
            key = True
            break
    if not key:
        res[p] = 1
print(len(res))


### FIXED CODE ###

N, C, K = list(map(int, input().split()))

passengers = sorted([int(input()) for i in range(N)])
res = 0
bus_time = passengers[0]
bus_count = C
for p in passengers:
    if bus_count == 0 or p - bus_time > K:
        res += 1
        bus_time = p
        bus_count = C - 1
    else:
        bus_count -= 1
if bus_count != C:
    res += 1
print(res)
### BUGGY CODE ###

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

ans = 0
for i,a in enumerate(A):
        ans += 1
        sum_tmp = a
        xor_tmp = a
        for j in range(i+1,N):
                sum_tmp += A[j]
                xor_tmp ^= A[j]
                if(sum_tmp == xor_tmp):
                        ans += 1
                        continue
                break

print(ans)

### FIXED CODE ###

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

ans = 0

sum_tmp = A[0]
xor_tmp = A[0]
l = 0
r = 1
while True:
        if r == N:
                ans += (r - l)
                if l == N - 1:
                        break
                else:
                        l += 1
                        continue

        if sum_tmp + A[r] == xor_tmp ^ A[r]:
                sum_tmp += A[r]
                xor_tmp ^= A[r]
                r += 1
                continue

        ans += (r - l)

        if l+1 == r:
                l += 1
                r += 1
                sum_tmp = A[l]
                xor_tmp = A[l]
                continue

        sum_tmp -= A[l]
        xor_tmp ^= A[l]
        l += 1

print(ans)
### BUGGY CODE ###

N=int(input())
S=[str(sorted(input())) for i in range(N)]
cnt=0
for i in range(N-1):
    for j in range(i+1,N):
        if S[i]==S[j]:
            cnt+=1
#print(S)
print(cnt)

### FIXED CODE ###

import collections
def Comb(n,k):
    comb_ans=1
    for i in range(1,k+1):
        comb_ans*=(n-i+1)/i
    comb_ans=int(comb_ans)
    return comb_ans

N=int(input())
S=[''.join(sorted(input())) for i in range(N)]
T=collections.Counter(S)
ans=0
for i in T.most_common():
    ans+=Comb(i[1],2)
#print(S)
#print(T)
print(ans)
### BUGGY CODE ###

import numpy as np

hyou = [0]*100001
keisuu = np.array(list(range(0,100001)))

N =  int(input())
a_data = [int(x) for x in input().split()]
Q = int(input())
b_data = [[int(x) for x in input().split()] for _ in range(Q)]

# 数列を分類
for x in a_data:
    hyou[x] += 1
# 操作と合計
for before_value,after_value in b_data:
    # 数値の入れ替え
    hyou[after_value] = hyou[before_value] + hyou[after_value] 
    hyou[before_value] = 0

    # 合計を求めて出力
    hyou_array = np.array(hyou)
    total = np.dot(hyou_array,keisuu)
    print(total)

### FIXED CODE ###

hyou = [0]*100001

N =  int(input())
a_data = [int(x) for x in input().split()]
Q = int(input())
b_data = [[int(x) for x in input().split()] for _ in range(Q)]

# 数列を分類
for x in a_data:
    hyou[x] += 1
# 現段階の合計を求める。
total = 0
for i,x in enumerate(hyou):
    total += i*x

# 操作と合計
for before_value,after_value in b_data:
    total += (after_value - before_value) * hyou[before_value] 
    # 数値の入れ替え
    hyou[after_value] = hyou[before_value] + hyou[after_value] 
    hyou[before_value] = 0

    # 合計を出力
    print(total)
### BUGGY CODE ###

H,W = map(int,input().split())
A = [list(map(int,input().split())) for _ in range(H)]
B = [list(map(int,input().split())) for _ in range(H)]
D = [[abs(A[h][w]-B[h][w]) for w in range(W)] for h in range(H)]
dp = [[{} for _ in range(W)] for _ in range(H)]
dp[0][0][D[0][0]] = 0
for h in range(H):
    for w in range(W):
        for v in dp[h][w]:
            if w != W-1:
                v1 = v+D[h][w+1]
                v2 = v-D[h][w+1]
                if v1<0:
                    v1 *= -1
                if v2<0:
                    v2 *= -1
                dp[h][w+1][v1] = 0
                dp[h][w+1][v2] = 0
            if h != H-1:
                v1 = v+D[h+1][w]
                v2 = v-D[h+1][w]
                if v1<0:
                    v1 *= -1
                if v2<0:
                    v2 *= -1
                dp[h+1][w][v1] = 0
                dp[h+1][w][v2] = 0
ans = min(dp[H-1][W-1])
print(ans)

### FIXED CODE ###

H,W = map(int,input().split())
A = [list(map(int,input().split())) for _ in range(H)]
B = [list(map(int,input().split())) for _ in range(H)]
D = [[abs(A[h][w]-B[h][w]) for w in range(W)] for h in range(H)]
def cal():
    dp1 = [set() for _ in range(W)]
    dp2 = [set() for _ in range(W)]
    for h in range(H):
        for w in range(W):
            d = D[h][w]
            if h==0 and w==0:
                dp2[0].add(d)
            for v in dp1[w]:
                v1 = v+d
                v2 = v-d if v>=d else -v+d
                dp2[w].add(v1)
                dp2[w].add(v2)
            if 0 < w:
                for v in dp2[w-1]:
                    v1 = v+d
                    v2 = v-d if v>=d else -v+d
                    dp2[w].add(v1)
                    dp2[w].add(v2)
        dp1 = dp2
        dp2 = [set() for _ in range(W)]
    return min(dp1[W-1])
ans = cal()
print(ans)
### BUGGY CODE ###

n = int(input())
s = list(input())

ans = 0

for x in range(n):
  for y in range(n):
    if not x < y:
      continue
    if s[x] == s[y]:
      continue
    for z in range(n):
      if not x < y < z:
        # print("SKIP: ", x, y, z)
        continue

      if "".join( sorted([s[x], s[y], s[z]]) ) != "BGR":
        # print("SKIP: ", x, y, z)
        continue

      if y-x == z-y:
        # print("SKIP: ", x, y, z)
        continue

      ans += 1
      # print(x, y, z)
      # print(s[x], s[y], s[z])

print(ans)


### FIXED CODE ###

n = int(input())
s = list(input())

ans = s.count("R") * s.count("G") * s.count("B")

for i in range(n):
  for j in range(n):
    if not i < j:
      continue
    k = j + (j-i)
    if k < n and "".join(sorted([s[i], s[j], s[k]])) == "BGR":
      ans -= 1

print(ans)
### BUGGY CODE ###

def divisor(n,A):
    ass = []
    for i in range(1,int(n**0.5)+1):
        if n%i == 0:
            if i in A:
                return False
            ass.append(i)
            if i**2 == n:
                continue
            if n//i in A:
                return False
    return True

def main():
    N = int(input())
    A = list(map(int, input().split()))
    A.sort(reverse=True)
    cnt = 0
    for i in range(N):
        if i > 0 and A[i] == A[i-1]:
            continue
        if divisor(A[i],A[i+1:]):
            cnt += 1

    print(cnt)


if __name__ == "__main__":
    main()

### FIXED CODE ###

def primes(n):
    ass = []
    is_prime = [True] * (n + 1)
    is_prime[0] = False
    is_prime[1] = False
    for i in range(2, int(n**0.5) + 1):
        if not is_prime[i]:
            continue
        for j in range(i * 2, n + 1, i):
            is_prime[j] = False
    for i in range(len(is_prime)):
        if is_prime[i]:
            ass.append(i)
    return ass

def main():
    N = int(input())
    A = list(map(int, input().split()))
    max_A = max(A)
    ans = [0] * (max_A + 1)
    A.sort()
    for a in A:
        tmp = 1
        b = 0
        while b <= max_A:
            b = a * tmp
            if b > max_A:
                break
            ans[b] += 1
            tmp += 1
    cnt = 0
    for a in A:
        if ans[a] == 1:
            cnt += 1

    print(cnt)


if __name__ == "__main__":
    main()
### BUGGY CODE ###

N=int(input())
mod=10**9+7
memo=[{} for _ in range(N+1)]

def ok(x, y, z, nx):
  if y=='A' and z=='G' and nx=='C':
    return False
  if x=='A' and z=='G' and nx=='C':
    return False
  if y=='G' and z=='A' and nx=='C':
    return False
  if y=='A' and z=='C' and nx=='G':
    return False
  if x=='A' and y=='G' and nx=='C':
    return False
  return True

def f(num,A):
  if num==N:
    return 1
  else:
    x,y,z=A[0],A[1],A[2]
    if (x,y,z) in memo[num]:
      return  memo[num][(x,y,z)]
    else:
      s=0
      for i in ['A','C','G','T']:
        if ok(x,y,z,i):
          s+=f(num+1,(y,z,i))
      #memo[num][(x,y,z)]=s%mod
      return s%mod
print(f(0,'ZZZ'))


### FIXED CODE ###

N=int(input())
mod=10**9+7
memo=[{} for _ in range(N+1)]

def ok(x,y,z,nx):
  if y=='A' and z=='G' and nx=='C':
    return False
  if x=='A' and z=='G' and nx=='C':
    return False
  if y=='G' and z=='A' and nx=='C':
    return False
  if y=='A' and z=='C' and nx=='G':
    return False
  if x=='A' and y=='G' and nx=='C':
    return False
  return True

def dfs(idx,lis):
    if idx==N:
      return 1
    x,y,z=lis[0],lis[1],lis[2]
    if (x,y,z) in memo[idx]:
        return memo[idx][(x,y,z)]
    ret=0
    for nx in ['A','G','C','T']:
        if ok(x,y,z,nx):
            ret+=dfs(idx+1,(y,z,nx))
    memo[idx][(x,y,z)]=ret%mod
    return ret%mod

print(dfs(0,'DDD'))
### BUGGY CODE ###

from itertools import combinations

N = int(input())
S = input()
counter_R = [0]
counter_G = [0]
counter_B = [0]
for s in S:
    counter_R.append(counter_R[-1] + (s == 'R'))
    counter_G.append(counter_G[-1] + (s == 'G'))
    counter_B.append(counter_B[-1] + (s == 'B'))
ans = 0
for i, j in combinations(range(N-1), 2):
    if S[i] == S[j]: continue
    l = j - i
    temp = [S[i], S[j]]
    if 'R' not in temp: cnt = counter_R
    elif 'G' not in temp: cnt = counter_G
    else: cnt = counter_B
    if j + l > N:
        ans += cnt[-1] - cnt[j]
    else:
        ans += cnt[j+l] - cnt[j] + (cnt[-1] - cnt[j + l + 1] if j + l + 1 <= N else 0)
print(ans)

### FIXED CODE ###

from itertools import combinations

N = int(input())
S = input()
counter_R = [0]
counter_G = [0]
counter_B = [0]
for s in S:
    counter_R.append(counter_R[-1] + (s == 'R'))
    counter_G.append(counter_G[-1] + (s == 'G'))
    counter_B.append(counter_B[-1] + (s == 'B'))
ans = 0
for i, j in combinations(range(N-1), 2):
    if S[i] == S[j]: continue
    l = j - i
    temp = [S[i], S[j]]
    if 'R' not in temp: cnt = counter_R
    elif 'G' not in temp: cnt = counter_G
    else: cnt = counter_B
    if j + l > N:
        ans += cnt[-1] - cnt[j]
    else:
        ans += cnt[j+l] - cnt[j] + (cnt[-1] - cnt[j + l + 1] if j + l + 1 <= N else 0)
print(ans)
### BUGGY CODE ###

n,x=map(int,input().split())
huga=list(map(int,input().split()))
hoge=[]
for i in range(n):
  hoge.append(abs(huga[i]-x))
hoge.sort(reverse=True)
D=hoge[0]

for i in range(D):
  ans=D-i
  flag=0
  for j in range(n):
    if(hoge[j]%ans>0):
      flag=1
  if(flag==0):
    print(ans)
    break

### FIXED CODE ###

#ユークリッド互除法
def gcd(a,b):
  if(a<b):
    a,b=b,a
  if(b==0):
    return a
  c= a%b
  return gcd(b,c)

n,x=map(int,input().split())
hoge=list(map(int,input().split()))
ans=abs(x-hoge[0])
for i in range(n):
  ans=gcd(ans,abs(hoge[i]-x))
print(ans)
### BUGGY CODE ###

n=int(input())
a=list(map(int, input().split()))
a.sort()
ans=0
for i in range(n-1):
    if a[i]%a[i+1]!=0:
        for j in range(i):
            if a[i]%a[j]==0:
                break
        else:
            ans+=1
for i in range(n-1):
    if a[-1]%a[i]==0:
        break
else:
    ans+=1
print(ans)

### FIXED CODE ###

from collections import Counter

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

m=a[-1]+1
dp=[True]*m
c=Counter(a)
ans=0
for x in a:
    if dp[x] and c[x]==1:
        ans+=1
    
    for j in range(2*x, m, x):
        dp[j]=False

print(ans)
### BUGGY CODE ###

import sys
import math
from copy import deepcopy
from collections import deque
sys.setrecursionlimit(20000000)


def main():
    N = int(input())
    boxes = [0] * (N+1)
    ans_boxes = [0]
    [ans_boxes.append(x) for x in list(map(int, input().split()))]

    count = 0
    ans = []

    def judge(n):
        s = 0
        for b in range(n, len(boxes)):
            if b % i == 0:
                s += boxes[b]

        if s % 2 == ans_boxes[i]:
            return True
        else:
            return False

    for i in reversed(range(1, len(boxes))):
        if judge(i):
            continue

        else:
            count += 1
            ans.append(i)
            boxes[i] += 1
            if judge(i):
                pass
            else:
                print(-1)
                sys.exit()

    print(count)
    if ans:
        print(*ans, sep=' ')


if __name__ == '__main__':
    main()



### FIXED CODE ###

import sys
import math
from copy import deepcopy
from collections import deque
sys.setrecursionlimit(20000000)


def main():
    N = int(input())
    boxes = [0] * (N+1)
    ans_boxes = [0]
    [ans_boxes.append(x) for x in list(map(int, input().split()))]

    count = 0
    ans = []

    def judge(n):
        s = 0

        nn = n
        while nn < len(boxes):
            s += boxes[nn]
            nn += n

        if s % 2 == ans_boxes[i]:
            return True
        else:
            return False

    for i in reversed(range(1, len(boxes))):
        if judge(i):
            continue

        else:
            count += 1
            ans.append(i)
            boxes[i] += 1
            if judge(i):
                pass
            else:
                print(-1)
                sys.exit()

    print(count)
    if ans:
        print(*ans, sep=' ')


if __name__ == '__main__':
    main()
### BUGGY CODE ###

import itertools

total, select = map(int, input().split(' '))

trees = []

for _ in range(total):
  trees.append(int(input()))

result = 10000000000
for t in list(itertools.combinations(trees, select)):
  result = min(result, max(t)-min(t))

print(result)



### FIXED CODE ###

import itertools

total, select = map(int, input().split(' '))

trees = []

for _ in range(total):
  trees.append(int(input()))

"""
result = 10000000000
for t in list(itertools.combinations(trees, select)):
  result = min(result, max(t)-min(t))
"""

trees.sort()

result = 10000000000
for i in range(total-select+1):  
  result = min(result, trees[i+select-1] - trees[i])

print(result)
### BUGGY CODE ###

n=int(input())
score=1
a=input().split()
for i in a:
  score*=int(i)
if score>1e18:
  score=-1
print(score)

### FIXED CODE ###

n= int(input())
a = list(map(int,input().split()))
score=1
if 0 in a:
  print(0)
  exit()
for i in a:
  score*=i
  if score>10**18:
    print(-1)
    exit()
print(score)
### BUGGY CODE ###

import numpy as np
import sys
readline = sys.stdin.readline
readlines = sys.stdin.readlines
N,K = map(int,readline().split())
A = np.array(readline().split(),np.int64)
AA = np.cumsum(A)
#print(AA)
L = AA
for i in range(N-1):
  AA = AA - A[i]
  L = np.concatenate([L,AA[i+1:]])

ans = 0
remains = []
for i in range(40):
  bit = 1 << (39 - i)
  l = []
  cnt = 0
  for j in range(len(L)):
    if bit & L[j] == bit:
      cnt += 1
      l.append(L[j])
  if cnt >= K:
    ans += bit
    L = l
print(ans)

### FIXED CODE ###

N, K = map(int,input().split())
A = list(map(int,input().split()))
L = []
for i in range(N):
  for j in range(i+1,N+1):
    L.append(sum(A[i:j]))
L.sort(reverse=True)
ans = 0
remains = []
for i in range(40):
  bit = 1 << (39 - i)
  l = []
  cnt = 0
  #print(bit)
  for j in range(len(L)):
    if bit & L[j] == bit:
      cnt += 1
      l.append(L[j])
  if cnt >= K:
    ans += bit
    L = l
print(ans)
### BUGGY CODE ###


# coding: utf-8

# In[1]:

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


# In[2]:

import copy
#import numpy as np


# In[3]:

def get_divisor_list(A):
    divisor_list = [1]
    if A == 1:
        return divisor_list
    else:
        for i in range(2, A//2+1):
            if A%i == 0:
                divisor_list.append(i)
        divisor_list.append(A)
        return divisor_list


# In[4]:

all_db = []
for i in range(N):
    all_db.append(set(get_divisor_list(A[i])))
#print(all_db)


# In[5]:

gcd_list = []
for i in range(N):
    all_dbc = copy.copy(all_db)
    all_dbc.pop(i)
    gcds = all_dbc[0].intersection(*all_dbc[1:])
    gcd_list.append(max(gcds))
print(max(gcd_list))


# In[ ]:

"""
try:
    from math import gcd as ogcd
except:
    from fractions import gcd as ogcd
from functools import reduce

def gcd(*numbers):
    return reduce(ogcd, numbers)
"""


# In[4]:

"""
gcd_list = []
for i in range(N):
    Ac = copy.copy(A)
    Ac.pop(i)
    #print(Ac)
    gcd_list.append(gcd(*Ac))
"""


# In[5]:

#print(np.max(np.array(gcd_list)))


# In[ ]:





### FIXED CODE ###


# coding: utf-8

# In[1]:

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


# In[2]:

#import copy
#import numpy as np
try:
    from fractions import gcd
except:
    from math import gcd


# In[ ]:

# 左からn個の最大公約数を求める O(n)
# 右からn個の最大公約数を求める O(n)
# n個目を抜いた最大公約数は n-1個目までの公約数とn+1個目からの公約数との公約数


# In[3]:

lg = [1]*(N)
rg = [1]*(N)
ans = 0


# In[4]:

#print(lg)
#print(rg)
#print(A)


# In[5]:

lg[0] = A[1]
rg[0] = A[N-2]
lg[1] = A[0]
rg[1] = A[N-1]
#print(lg, rg)
for i in range(1, N-1):
    #print(i)
    lg[i+1] = gcd(lg[i], A[i])
    #print(lg[i], A[i])
    rg[i+1] = gcd(rg[i], A[N-1-i])
    #print(rg[N-1-i], A[N-1-i])
#print(lg, rg)

for i in range(N):
    #print(i, lg[i], rg[N-i-1])
    tmp = gcd(lg[i], rg[N-i-1])
    #print(tmp)
    if ans < tmp:
        ans = tmp
    #print(ans)


# In[6]:

print(ans)


# In[ ]:

"""
[42 54 69 92 12 23]のとき
 1 [54 69 92 12 23]の最大公約数
 2 [42 69 92 12 23]
 3 [42 54 92 12 23]
 4 [42 54 69 12 23]

"""
### BUGGY CODE ###

#coding: utf-8
m,n = map(int,input().split())
# div = [0]
div = [1]
flg = 0
ans = 0

# if m % 2 == 0 and n % 2 == 0:
#     div.append(2)

# while i < m:
#     if m % i == 0 and n % i == 0 and i % 2 == 1:
for i in range(1,m+1):
    # print(i)
    if m % i == 0 and n % i == 0:
        ans += 1
        m = m / i
        n = n / i
        # for j in range(2,len(div)):
        #     if i % div[j] == 0:
        #         flg = 1
        #         break
        # if flg == 0:
        #     div.append(i)
        # else:
        #     flg = 0
    
# 約数を求める
# J = 2
# while j > div[len(div)]:
#     div[]
    # print(student[i]-1)
    # toukou[student[i]-1] = i+1
# print(" ".join(map(str,div)))
# print(len(div))
print(ans)


### FIXED CODE ###

#coding: utf-8
from fractions import gcd
import math

# GCDの約数を素因数分解する
def primeFactor(n):
    flg = 0
    count = 0
    tmp = math.sqrt(n)
    i = 2

    if n == 1:
        return 1

    while i <= tmp:
        # print(str(i)+str(',')+str(gcd_cnt))
        if n % i == 0:
            if flg == 0:
                flg = 1
                count += 1
            n = n // i
        else:
            flg = 0
            i += 1
    # if flg == 1:
    #     count += 1
    # print(str('素数=')+str(count)+str(' n=')+str(n)+str(' i=')+str(i))
    if n > 1:
        count += 1
    # 1を足す
    count += 1
    return count


# # print(len(div))
m,n = map(int,input().split())
p = gcd(m,n)
# print(str('gcd=')+ str(p))
ans = primeFactor(p)
print(ans)
### BUGGY CODE ###

n = int(input())
a = list(map(int,input().split()))
ans = 0
mod = 10**9 + 7
num = a[0]
for i in range(n-1):
    cnt = sum(a) - num
    cnt %= mod
    ans += a[i]*cnt
    ans %= mod
    num += a[i+1]
    num %= mod
print(ans%mod)

### FIXED CODE ###

n = int(input())
a = list(map(int,input().split()))
ans = 0
mod = 10**9 + 7
num = sum(a)%mod
for i in range(n-1):
    num -= a[i]
    num %= mod
    ans += a[i]*num
    ans %= mod
print(ans)