Harryxun/stf_run huggingface dataset:
import sys
sys.setrecursionlimit(10000)

def gcd(a, b):
    if b == 1:
        return 1
    r = a % b
    if r == 0:
        return b
    else:
        return gcd(b, r)

def lcm(A, n):
    if n == 2:
        return A[0]*A[1] // gcd(A[0], A[1])
    #lcm(A, n)はA[0]-A[n-1]までの最小公倍数を求める
    a = lcm(A, n-1)
    return a* A[n-1] // gcd(a, A[n-1])

n = int(input())
a = []
for i in range(n):
    a.append(int(input()))
#a.sort(reverse = True)
ans = lcm(a, n)
print(str(ans))

### FIXED CODE ###

def gcd(a, b):
    if b == 1:
        return 1
    # a > b　を仮定
    r = a % b
    if r == 0:
        return b
    else:
        return gcd(b, r)

#def lcm(A, n):
#    if n == 2:
#        return A[0]*A[1] // gcd(A[0], A[1])
#    #lcm(A, n)はA[0]-A[n-1]までの最小公倍数を求める
#    a = lcm(A, n-1)
#    return a* A[n-1] // gcd(a, A[n-1])

n = int(input())
#a = []
T1 = int(input())
for i in range(n-1):
    T2 = int(input())
    T1 = T1*T2 // gcd(T1, T2)
    #a.append(int(input()))
#a.sort(reverse = True)
#ans = lcm(a, n)
print(str(T1))
import sys
input = sys.stdin.readline

def make_Graph(N, edges):#頂点の名前はi - 1で受け付ける
    graph = [ [] for i in range(N)]
    for edge in edges:
        a, b, c = edge
        graph[a].append((b,c))
        graph[b].append((a,c))
    return graph

def BFS(N, graph, start):
    Q = []
    V = []
    prev = [None] * N
    dd = [float("inf")] * N
    Q.append(start)
    dd[start] = 0
    while len(V) < N:
        a = Q.pop(0)
        V.append(a)
        for b, c in graph[a]:
            if b != prev[a]:
                Q.append(b)
                prev[b] = a
                dd[b] = dd[a] + c
    return dd

def DFS(N, graph, a, p, d):
    dd[a] = d
    for b, c in graph[a]:
        if b == p or dd[b] != 0:
            continue
        else:
            DFS(N, graph, b, a, d + c)

N = int(input())

sys.setrecursionlimit(10000)

graph = [ [] for i in range(N)]
for i in range(N-1):
    a, b, c = (int(j) for j in input().split())
    graph[a-1].append((b-1,c))
    graph[b-1].append((a-1,c))

Q, K =(int(i) for i in input().split())
dd = [0] * N

DFS(N, graph, K-1, -1, 0)

for i in range(Q):
    x, y = (int(a) for a in input().split())
    print(dd[x-1] + dd[y-1])

### FIXED CODE ###

import sys
input = sys.stdin.readline

def make_Graph(N, edges):#頂点の名前はi - 1で受け付ける
    graph = [ [] for i in range(N)]
    for edge in edges:
        a, b, c = edge
        graph[a].append((b,c))
        graph[b].append((a,c))
    return graph

def BFS(N, graph, start):
    Q = []
    V = []
    prev = [None] * N
    dd = [float("inf")] * N
    Q.append(start)
    dd[start] = 0
    while len(V) < N:
        a = Q.pop(0)
        V.append(a)
        for b, c in graph[a]:
            if b != prev[a]:
                Q.append(b)
                prev[b] = a
                dd[b] = dd[a] + c
    return dd

def DFS(N, graph, a, p, d):
    dd[a] = d
    for b, c in graph[a]:
        if b == p or dd[b] != 0:
            continue
        else:
            DFS(N, graph, b, a, d + c)

N = int(input())
graph = [ [] for i in range(N)]
for i in range(N-1):
    a, b, c = (int(j) for j in input().split())
    graph[a-1].append((b-1,c))
    graph[b-1].append((a-1,c))

Q, K =(int(i) for i in input().split())
dd = [0] * N

try:
    DFS(N, graph, K-1, -1, 0)
except:
    dd = BFS(N, graph, K-1)

for i in range(Q):
    x, y = (int(a) for a in input().split())
    print(dd[x-1] + dd[y-1])
S=str(input())
formula=[""]*(len(S)*2-1)
ans=0
for i in range(len(S)*2-1):
    if i%2==0:
        formula[i]=S[i//2]
place=pow(2,len(S)-1)-1
for i in range(place+1):
    for j in range(len(bin(i))-2):
        #strしたbinには0bのprefixが付く。
        if int(str(bin(i))[-j-1])==1:
            formula[2*j+1]="+"
    ans+=eval(''.join(formula))
    for k in range((len(formula)-1)/2):
        formula[2*k+1]=""
print(ans)

### FIXED CODE ###

S=str(input())
formula=[""]*(len(S)*2-1)
ans=0
for i in range(len(S)*2-1):
    if i%2==0:
        formula[i]=S[i//2]
place=pow(2,len(S)-1)-1
for i in range(place+1):
    for j in range(len(bin(i))-2):
        #strしたbinには0bのprefixが付く。
        if int(str(bin(i))[-j-1])==1:
            formula[2*j+1]="+"
    ans+=eval(''.join(formula))
    for k in range((len(formula)-1)//2):
        formula[2*k+1]=""
print(ans)
import numpy as np

N = int(input())
b = np.array(list(map(int, input().split())))

v0 = np.array([0.5]*N)
A0 = np.diag(v0, k=0)
v1 = np.array([0.5]*(N-1))
A1 = np.diag(v1, k=-1)
A = A0 + A1
A[0][N-1] = 0.5
Ainv = np.linalg.inv(A)
x = list(np.dot(Ainv, b))
ans = [x[-1]] + x[:N-1]
ans = [int(a) for a in ans]
print(*ans)

### FIXED CODE ###

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

S = [0]*(N+1)

for n in range(N):
    S[n+1] = S[n] + ((-1)**n)*b[n]
    
ans = [0]*N
for n in range(N):
    ans[n] = b[n] - ((-1)**n)*S[n] + ((-1)**n)*(S[N]-S[n+1])
    
print(*ans)
n=int(raw_input())
a=[int(raw_input()) for _ in xrange(n)]
cnt=[0]*len(bin(max(a))[2:])
for i in xrange(n):
    bit=bin(a[i])[2:]
    lb=len(bit)
    for j in xrange(lb-1,-1,-1):
        if bit[j]=="1":
            cnt[lb-1-j]+=1
            break

axor=0
for i in xrange(n):
    axor^=a[i]

axor=bin(axor)[2:]
mx=len(bin(max(a))[2:])
ans=0
i=-1    
while i<mx:
    i+=1
    if axor[i]=="1":
        if cnt[i]==0:
            print(-1)
            exit()
        else:
            ans+=1
            cnt[i]-=1
            if mx-i-1==0:
                break
            tmp=int("1"*(mx-i-1),2)
            axor=int(axor,2)^tmp
            axor=bin(axor)[2:]
print(ans)


### FIXED CODE ###

n=int(raw_input())
a=[int(raw_input()) for _ in xrange(n)]
mxlba=0
for i in xrange(n):
    mxlba=max(mxlba,len(bin(a[i])[2:]))

exist=[False]*(mxlba+1000)
for i in xrange(n):
    bit=bin(a[i])[2:]
    lb=len(bit)
    for j in xrange(lb-1,-1,-1):
        if bit[j]=="1":
            exist[lb-1-j]=True
            break

axor=0
for i in xrange(n):
    axor^=a[i]
if axor==0:
    print(0)
    exit()
axor=bin(axor)[2:]
la=len(axor)
ans=0
i=0
while i<la:
    if axor[i]=="1":
        if not exist[la-i-1]:
            print(-1)
            exit()
        else:
            ans+=1
            if la-i-1==0:
                break
            tmp=int("1"*(la-i-1),2)
            axor=int(axor,2)^tmp
            axor=bin(axor)[2:]
    i+=1

print(ans)
h=int(input())
def f(n):
  if n==1:
    return 1
  else:
    return 2 * f(n) + 1
hit=f(h)
print(hit)

### FIXED CODE ###

h=int(input())
def f(n):
  if n==1:
    return 1
  else:
    return 2 * f(n//2) + 1
hit=f(h)
print(hit)
A,B,C,X=[int(input()) for i in range(4)]
for a in range(1,A+1):
    Y = X - 500*a
    for b in range(1,B+1):
        Z = Y - 100*b
        for c in range(1,C+1):
            W = Z - 50*c
            if W == 0:
                cnt += 1
print(cnt)

### FIXED CODE ###

a,b,c,X=[int(input()) for i in range(4)]
print([500*x+100*y+50*z for z in range(c+1) for y in range(b+1) for x in range(a+1)].count(X))
#include<stdio.h>

int digit_sum(int num);

int main() {
	int n, a, b, cnt, i, temp;

	cnt = 0;
	scanf("%d%d%d", &n, &a, &b);
	for (i = 1; i <= n; i++) {
		temp = digit_sum(i);
		if (a <= temp && temp <= b) cnt += i;
	}
	printf("%d", cnt);
	return 0;
}

int digit_sum(int num) {
	if (num > 9) return num % 10 + digit_sum(num / 10);
	else return num;
}


### FIXED CODE ###

n, a, b = map(int, input().split())
print(sum([x for x in range(1, n + 1) if a <= sum([int(c) for c in str(x)]) <= b]))
import numpy as np

N = int(input())
A = np.zeros(N)

for i in range(N):
    A[i] = int(input())

ind = A.argsort()[:2]

first_a = A[ind[0]]
second_a = A[ind[1]]

for i, a in A:
    if i == ind[0]:
        print(second_a)
    else:
        print(first_a)



### FIXED CODE ###

import numpy as np

N = int(input())
A = np.zeros(N)

for i in range(N):
    A[i] = int(input())

ind = A.argsort()[::-1][:2]

first_a = A[ind[0]]
second_a = A[ind[1]]

for i, a in enumerate(A):
    if i == ind[0]:
        print(int(second_a))
    else:
        print(int(first_a))
H, W = map(int, input().split())

if H % 2 == 0 or W % 2 == 0:
  print(H * W // 2)
else:
  print((H * W - 1) // 2 + 1)
  exit(1)

### FIXED CODE ###

H, W = map(int, input().split())

if H == 1 or W == 1:
  print(1)
elif H % 2 == 0 or W % 2 == 0:
  print(H * W // 2)
else:
  print((H * W - 1) // 2 + 1)
n = int(input())

keta_now = 0
res_num = []

MAP = {
    1:"a",
    2:"b",
    3:"c",
    4:"d",
    5:"e",
    6:"f",
    7:"g",
    8:"h",
    9:"i",
    10:"j",
    11:"k",
    12:"l",
    13:"m",
    14:"n",
    15:"o",
    16:"p",
    17:"q",
    18:"r",
    19:"s",
    20:"t",
    21:"u",
    22:"v",
    23:"w",
    24:"x",
    25:"y",
    26:"z",
}

while True:
    keta_now += 1
    if n < sum([26**k for k in range(keta_now+1)]):
        
        for i in range(keta_now, 0, -1):
            for al in range(26, 0, -1):
                if i == 1:
                    res_num.append(n)
                    break
                if n >= (26**(i-1) * al):
                    res_num.append(al)
                    n -= (26**(i-1) * al)
                    break
            
        break           
print("".join([MAP[n] for n in res_num]))


### FIXED CODE ###

"""
問題の解釈
長さがlであるような文字列の中で辞書順でk番目のものを求めよ

26進表記における位の値の求め方
1. 変数xをk-1で初期化し、xが0となるまで以下の操作を繰り返す
2. xを26で割った商がq、余りがrであるとする。この操作がi回目に実行された時のrがk-1の下からi番目の桁である。xをqで置き換える
"""
ALPHABET = "abcdefghijklmnopqrstuvwxyz"

n = int(input())

# 長さの判定
# 26 **11 > 10*15より
ll = 0
for l in range(1, 12):
    ll += 26**l
    if ll >= n:
        break

ans = []
for li in range(1, l+1):
    r = n % 26
    q = n // 26
    if r == 0:
        q -= 1
    ans.append(r)
    n = q

answer = ""
for s in ans[::-1]:
    answer += ALPHABET[s-1] 
print(answer)
N, K = map(int, input().split())
H = list(map(int, input().split()))

ans = 0
if K>=N:
  print(ans)
else:
  H = H.sort(reverse=True)
  for i in range(K, N):
    ans += H[i]
  print(ans)

### FIXED CODE ###

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

ans = 0
if K>=N:
  print(ans)
else:
  H.sort(reverse=True)
  for i in range(K, N):
    ans += H[i]
  print(ans)
S = input()
for i in range(1,5):
  if S[i] == S[i-1]:
    print('Bad')
    break
else:
  print('Good')

### FIXED CODE ###

S = input()
for i in range(1,4):
  if S[i] == S[i-1]:
    print('Bad')
    break
else:
  print('Good')
import sys
input = sys.stdin.readline
n,m = map(int, input().split(" "))
a = list(map(int, input().split(" ")))
a.sort()
bc=[]
for i in range(m):
    b,c = map(int, input().split(" "))
    bc = bc + [c]*b
bc.sort(reverse=True)
for i in range(n):
    if bc[i] <= a[i]:
        break
    a[i] = bc[i]
print(sum(a))

### FIXED CODE ###

import sys
input = sys.stdin.readline
n,m = map(int, input().split(" "))
a = list(map(int, input().split(" ")))
a.sort()
bc=[None]*m
for i in range(m):
    bc[i] = list(map(int, input().split(" ")))
bc.sort(reverse=True, key=lambda x:x[1])
l=[]
for [b,c] in bc:
    l.extend([c]*b)
    if n < len(l):
        break
for i in range(n):
    if len(l) <= i or l[i] <= a[i]:
        break
    a[i] = l[i]
print(sum(a))
#!/usr/bin/env python3
import sys

MOD = 1000000007  # type: int

memory = {}


def solve(N: int, C: "List[int]"):
    # print(dfs(tuple(C), N, 0))

    dp = [0]*N
    last = [-1]*(2*N+1)
    for i, s in enumerate(C):
        if i == 0:
            dp[i] = 1
        else:
            dp[i] = dp[i-1]
            if last[s] != -1 and last[s] < i-1:
                dp[i] = (dp[i] + dp[last[s]]) % MOD
        last[s] = i
    # print(dp, souwa, pre)
    print(dp[-1])
    return


# Generated by 1.1.3 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    N = int(next(tokens))  # type: int
    C = [int(next(tokens)) for _ in range(N)]  # type: "List[int]"
    solve(N, C)


if __name__ == '__main__':
    main()


### FIXED CODE ###

#!/usr/bin/env python3
import sys

MOD = 1000000007  # type: int

memory = {}


def solve(N: int, C: "List[int]"):
    # print(dfs(tuple(C), N, 0))

    dp = [0]*N
    last = [-1]*(2*(10**5)+1)
    for i, s in enumerate(C):
        if i == 0:
            dp[i] = 1
        else:
            dp[i] = dp[i-1]
            if last[s] != -1 and last[s] < i-1:
                dp[i] = (dp[i] + dp[last[s]]) % MOD
        last[s] = i
    # print(dp, souwa, pre)
    print(dp[-1])
    return


# Generated by 1.1.3 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    N = int(next(tokens))  # type: int
    C = [int(next(tokens)) for _ in range(N)]  # type: "List[int]"
    solve(N, C)


if __name__ == '__main__':
    main()
# Distance

points = [int(i) for i in input().rstrip().split()]
a = [points[0], points[1]]
b = [points[2], points[3]]

distanceSquare = (a[0] - b[0]) ** 2 + (a[1] - b[1]) ** 2
distance = distanceSquare ** 0.5

print(distance)



### FIXED CODE ###

# Distance

points = [float(i) for i in input().rstrip().split()]
a = [points[0], points[1]]
b = [points[2], points[3]]

distanceSquare = (a[0] - b[0]) ** 2 + (a[1] - b[1]) ** 2
distance = distanceSquare ** 0.5

print(distance)
L, R = map(int, input().split())
li = []
for i in range(L, min(L+4038, 2000000000, R)):
  li.append(i%2019)
a = min(li)
li.remove(min(li))
b = min(li)
li.remove(min(li))
print(a*b)

### FIXED CODE ###

L, R = map(int, input().split())
li = []
li_a =[]
if R-L+1 >= 2019:
  print(0)
else:
  for i in range(L, R+1):
    li.append(i%2019)
  for x in li:
    for y in li:
      if x != y:
        li_a.append((x*y)%2019)
  print(min(li_a))
n,k = map(int, input().split())
a =list(map(int, input().split()))
ans =1

if n == k:
   for i in a:
       ans *= i
       if abs(ans) >10**9+7:
           ans = ans%(10**9+7)

elif all(i <= 0 for i in a) and k%2 ==1:
    a.sort()
    for i in range(k):
        ans *= a[i]
        if abs(ans) > 10 ** 9 + 7:
            ans = ans % (10 ** 9 + 7)

else:
    am =[]
    ap =[]

    a.sort(key = abs,reverse = True)
    amax = a[:k]
    amin = a[k:]
    c=1
    if 0 in amax:
        ans = 0
    else:
        for i in amax:
            if i<0:
                am.append(i)
                c *=-1
            elif i>0:
                ap.append(i)
        if c ==1:
            for i in amax:
                ans *= i
                if abs(ans) > 10 ** 9 + 7:
                    ans = ans % (10 ** 9 + 7)
        else:

            if min(amin)/min(ap) > max(amin)/max(am):
                amax.remove(max(am))
                amax.append(max(amin))
            else:
                amax.remove(min(ap))
                amax.append(min(amin))
            for i in amax:
                ans *= i
                if abs(ans) > 10 ** 9 + 7:
                    ans = ans % (10 ** 9 + 7)

print(ans% (10 ** 9 + 7))

### FIXED CODE ###

n,k = map(int, input().split())
a =list(map(int, input().split()))
ans =1

if n == k:
   for i in a:
       ans *= i
       if abs(ans) >10**9+7:
           ans = ans%(10**9+7)

elif all(i <= 0 for i in a) and k%2 ==1:
    a.sort(reverse = True)
    for i in range(k):
        ans *= a[i]
        if abs(ans) > 10 ** 9 + 7:
            ans = ans % (10 ** 9 + 7)

else:
    am =[]
    ap =[]

    a.sort(key = abs,reverse = True)
    amax = a[:k]
    amin = a[k:]
    c=1
    if 0 in amax:
        ans = 0
    else:
        for i in amax:
            if i<0:
                am.append(i)
                c *=-1
            elif i>0:
                ap.append(i)
        if c ==1:
            for i in amax:
                ans *= i
                if abs(ans) > 10 ** 9 + 7:
                    ans = ans % (10 ** 9 + 7)
        else:
            if ap == []:
                amax.remove(max(am))
                amax.append(max(amin))

            elif max(am)*min(amin) < min(ap)*max(amin):
                amax.remove(max(am))
                amax.append(max(amin))
            else:
                amax.remove(min(ap))
                amax.append(min(amin))
            for i in amax:
                ans *= i
                if abs(ans) > 10 ** 9 + 7:
                    ans = ans % (10 ** 9 + 7)

print(ans % (10 ** 9 + 7))
z = input()
l = z.split()
l.sort()
print("%s %s %s" % l[0],l[1],l[2])

### FIXED CODE ###

z = input()
w,x,y = z.split()
l = [w,x,y]
l.sort()
print(" ".join(l))
N = int(input())

print(N*800 - (N/15)*200)N = int(input())

print(N*800 - round((N/15))*200)

### FIXED CODE ###

N = int(input())

print(N*800 - N//15*200)
import numpy as np
n, k = (int(x) for x in input().split())
if n%2==0:
  if k <= n/2
    print("YES")
  else:
    print("NO")
if n%2!=0:
  if k <= np.ceil(n/2)
    print("YES")
  else:
    print("NO")


### FIXED CODE ###

import numpy as np
n, k = (int(x) for x in input().split())
if n%2==0:
  if k <= n/2:
    print("YES")
  else:
    print("NO")
if n%2!=0:
  if k <= np.ceil(n/2):
    print("YES")
  else:
    print("NO")
N = int(input())
ab = [tuple(map(int,input().split())) for _ in range(N - 1)]
M = int(input())
uv = [tuple(map(int,input().split())) for _ in range(M)]
route = [[] for _ in range(N)]

for i, (a, b) in enumerate(ab):
    a -= 1
    b -= 1
    route[a].append((b, i))
    route[b].append((a, i))

path = [0] * M
for i, (u, v) in enumerate(uv):
    u -= 1
    v -= 1
    stack = [u]
    visited = [0] * N
    visited[u] = 1
    dire = [[] for _ in range(N)]
    while True:
        s = stack.pop()
        for g, j in route[s]:
            if visited[g]:
                continue   
            stack.append(g)
            dire[g].append((s, j))
            visited[g] = 1
        if visited[v]:
            break
    s = v
    while True:
        g, num = dire[s]
        path[i] |= (1 << num)
        if g == u:
            break

data = [0] * (1 << M)
ans = 2 ** (N - 1)
for i in range(1, a << M):
    k = bin(i) - 3
    data[i] = data[i - (2 ** k)] | path[k]
    power = bin(data[i]).count("1")
    judge = bin(i).count("1")
    ans += (-2 ** (N - 1 - power) if judge % 2 else 2 ** (N - 1 - power))
print(ans)

### FIXED CODE ###

N = int(input())
ab = [tuple(map(int,input().split())) for _ in range(N - 1)]
M = int(input())
uv = [tuple(map(int,input().split())) for _ in range(M)]
route = [[] for _ in range(N)]

for i, (a, b) in enumerate(ab):
    a -= 1
    b -= 1
    route[a].append((b, i))
    route[b].append((a, i))

path = [0] * M
for i, (u, v) in enumerate(uv):
    u -= 1
    v -= 1
    stack = [u]
    visited = [0] * N
    visited[u] = 1
    dire = [[] for _ in range(N)]
    while True:
        s = stack.pop()
        for g, j in route[s]:
            if visited[g]:
                continue   
            stack.append(g)
            dire[g].append((s, j))
            visited[g] = 1
        if visited[v]:
            break
    s = v
    while True:
        g, num = dire[s][0]
        path[i] |= (1 << num)
        if g == u:
            break
        s = g

data = [0] * (1 << M)
ans = 2 ** (N - 1)
for i in range(1, 1 << M):
    k = len(bin(i)) - 3
    data[i] = data[i - (2 ** k)] | path[k]
    power = bin(data[i]).count("1")
    judge = bin(i).count("1")
    ans += (-2 ** (N - 1 - power) if judge % 2 else 2 ** (N - 1 - power))
print(ans)
A = list(map(int,input().split()))
A.sort()
k = int(input())
ans = sum(A[:2]) + A[3]*(2**k)
print(ans)

### FIXED CODE ###

A = list(map(int,input().split()))
A.sort()
k = int(input())
ans = sum(A[:2]) + A[2]*(2**k)
print(ans)
N = int(input())
R = [[int(i) for i in input().split()] for _ in range(N)]

from itertools import combinations
L = []
for (x1, y1), (x2, y2) in combinations(R, 2):
    L.append((x1 - x2, y1 - y2))
    L.append((-x1 + x2, -y1 + y2))

from collections import Counter
C = Counter(L)
print(N - C.most_common(1)[0][1])


### FIXED CODE ###

from collections import Counter
from itertools import combinations

N = int(input())
R = [[int(i) for i in input().split()] for _ in range(N)]

if N == 1:
    print(1)
    quit()

L = []
for (x1, y1), (x2, y2) in combinations(R, 2):
    L.append((x1 - x2, y1 - y2))
    L.append((-x1 + x2, -y1 + y2))

C = Counter(L)
print(N - C.most_common(1)[0][1])
# encoding: utf-8
N, M = map(int, input().split())

# primes = [2, 3, 5, 7, 11, 13, 17]

# M_tmp = M
# factors = []
# for p in primes:
#     for i_p in range(32):
#         if M_tmp % (p ** (i_p + 1)) > 0: break
#     if i_p > 0: factors.append((p, i_p))
#     M_tmp = M_tmp // (p ** i_p)

## memo
memo = [[None] * 33 for i in range(N)] # max ip

def distribute(pos, full, tmp):
    # read memo
    if memo[pos][tmp] != None: return memo[pos][tmp]
    # end
    if tmp == 0: return 1
    # next
    ret = 0
    if pos < N - 1:
        for i in range(tmp + 1): ret += distribute(pos + 1, full, tmp - i)
    else: ret += 1
    # print("###", pos, tmp, ret)
    # write memo
    if memo[pos][tmp] != None: memo[pos][tmp] = ret
    return ret

# ans = 1
# for p, i_p in factors:
#     tmp = distribute(0, i_p, i_p)
#     ans = ans * tmp
#     # print("#", p, tmp)

M_tmp = M
ans = 1
for p in range(2, 4):
    # how many times M_tmp can be divided
    for i_p in range(33):
        if M_tmp % (p ** (i_p + 1)) > 0: break
    # escape if M_tmp cannot be divided
    # print("#", p, i_p)
    if i_p < 1: continue
    # ans update (dp)
    ## search and count
    ans_tmp = distribute(0, i_p, i_p)
    # print("###", ans_tmp)
    ## add
    ans = (ans * ans_tmp) % (10 ** 9 + 7)
    # next
    M_tmp = M_tmp // (p ** i_p)

print(ans)


### FIXED CODE ###

# encoding: utf-8
import math
N, M = map(int, input().split())

ips = []
M_tmp = M
for p in range(2, int(math.sqrt(M)) + 1):
    if M_tmp % p > 0: continue
    for i_p in range(1, 33):
        if M_tmp % (p ** (i_p + 1)) > 0: break
    ips.append(i_p)
    M_tmp = M_tmp // (p ** i_p)
    if M_tmp == 1: break
else:
    ips.append(1)

#### O(NlogM) below ?
# create memo
## init
if len(ips) > 0: ip_max = max(ips)
else: ip_max = 0
memo = [[None] * N for i in range(ip_max + 1)] # max ip
for j in range(N): memo[0][j] = 1
for i in range(1, ip_max + 1): memo[i][N - 1] = 1
## fill
for i in range(1, ip_max + 1):
    sum_tmp = 0
    vals = list(memo[i - 1])[::-1]
    ptr_memo = memo[i]
    for j, val in enumerate(vals):
        sum_tmp += val
        ptr_memo[N - 1 - j] = sum_tmp
#### O(NlogM) above ?
        
# calculate ans
ans = 1
for i_p in ips:
    ans = (ans * memo[i_p][0]) % (10 ** 9 + 7)

if M == 1: print(1)
elif ip_max < 1: print(N)
else: print(ans)
n,m=map(int,input().split())
bridge=[[] for i in range(m)]
leader=[i for i in range(n+1)]
member=[1 for i in range(n+1)]
for i in range(m):
    bridge[i]=list(map(int,input().split()))
ans=[0 for i in range(m+1)]
ans[0]=int((n-1)*n/2)
k=1
for i in reversed(bridge):
    le0=leader[i[0]]
    le1=leader[i[1]]
    if le0!=le1:
        ans[k]=ans[k-1]-member[le0]*member[le1]
        if member[le0]>=member[le1]:
            member[le0]+=member[le1]
            leader=[le0 if i==le1 else i for i in leader]
        else:
            member[le1]+=member[le0]
            leader=[le1 if i==le0 else i for i in leader]
    else:
        ans[k]=ans[k-1]
    if ans[k]==0:
        ans[k:]=[0 for l in range(m-k)]
        break
    k+=1
for i in range(m):
    print(ans[m-1-i])

### FIXED CODE ###

a,b=map(int,input().split())
j=0
while b>=2**j:
    j+=1
if b==0:
    j=1
k=1
l=[0 for i in range(j)]
bia=[0 for i in range(j)]
A=a
i=0
while A>2**(k-1):
    l[i]=A%(2**k)
    m=(l[i]-2**(k-1))
    if m<=0:
        bia[i]=0
    else:
        if m%2==1:
            bia[i]=1
        else:
            bia[i]=0
    k+=1
    i+=1
if (A//2)%2==0:
    bia[0]=0
else:
    bia[0]=1
k=1
l=[0 for i in range(j)]
bib=[0 for i in range(j)]
B=b+1
i=0
while B>2**(k-1):
    l[i]=B%(2**k)
    m=(l[i]-2**(k-1))
    if m<=0:
        bib[i]=0
    else:
        if m%2==1:
            bib[i]=1
        else:
            bib[i]=0
    k+=1
    i+=1
if (B//2)%2==0:
    bib[0]=0
else:
    bib[0]=1
ans=0
for i in range(j):
    if bia[i]==bib[i]:
        ans=ans
    else:
        ans+=2**i
print(ans)