Harryxun/stf_run huggingface dataset:
def input_int():
    return map(int, input().split())

def one_int():
    return int(input())

def one_str():
    return input()

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

N=one_int()
S=one_str()

bit_count = S.count("1")

#bit数
calc_dict = {i:-1 for i in range(22000)}
res_dict =  {i:-1 for i in range(2*(10**5))}

res_dict = {i:-1 for i in range(1001)}
res_dict[0]=0

for i in range(1, 1001):
    if calc_dict[i]==-1:
        calc_dict[i] = bin(i).count("1")
    
    res_dict[i] = i%calc_dict[i]+1


bit_count = S.count("1")
for i in range(len(S)):
    if S[i]=="0":

        bit_count+=1
        num = int(S,2) + 2**(N-i-1)
        if num==0 or bit_count==0:
            print(0)
        else:
            print(res_dict[num%bit_count]+1)
        bit_count-=1
    else:

        bit_count-=1
        num = int(S,2) - 2**(N-i-1)
        if num==0 or bit_count==0:
            print(0)
        else:
            print(res_dict[num%bit_count]+1)
        bit_count+=1

### FIXED CODE ###

def input_int():
    return map(int, input().split())

def one_int():
    return int(input())

def one_str():
    return input()

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

N=one_int()
S=one_str()

bit_count = S.count("1")
S_num = int(S,2)
S_min = S_num % (bit_count-1) if bit_count-1!=0 else 0
S_plu = S_num % (bit_count+1)




# calc_dict = {i:-1 for i in range(10000)}
# res_dict =  {i:-1 for i in range(10**4)}

# for i in range(1, 10000):
#     if calc_dict[i]==-1:
#         calc_dict[i] = bin(i).count("1")

#     res_dict[i] = i%calc_dict[i]+1

def mods(temp, count):
    count+=1
    if temp!=0:

#         if temp in res_dict:
#             return count+res_dict[temp]
        
#         if temp not in calc_dict:
#             calc_dict[temp]= bin(temp).count("1") 
        count = mods(temp%bin(temp).count("1") , count)

    return count

for i in range(N):
    if S[i]=="0":
        part = pow(2, (N-i-1), bit_count+1)
        num = (S_plu + part ) % (bit_count+1)
        print(mods(num, 0))
    else:
        if S_num == 2**(N-i-1):
            print(0)
            continue
        part = pow(2, (N-i-1), bit_count-1)
        num = (S_min - part)%(bit_count-1)
        print(mods(num, 0))
ch = input()
if ch == 'a' | ch == 'i' | ch == 'u' | ch == 'e' | ch == 'o':
	print('vowel')
else:
	print('consonant')

### FIXED CODE ###

ch = input()
if (ch == 'a') | (ch == 'i') | (ch == 'u') | (ch == 'e') | (ch == 'o'):
    print('vowel')
else:
    print('consonant')
from collections import Counter
n=int(input())
A=[list(map(int,input().split())) for i in range(n)]
Per=[(a[0]-b[0],a[1]-b[1]) for a in A for b in A if a!=b]
print(n-Counter(Per).most_common(1)[0][1])

### FIXED CODE ###

from collections import Counter
n=int(input())
A=[list(map(int,input().split())) for i in range(n)]
Per=[(a[0]-b[0],a[1]-b[1]) for a in A for b in A if a!=b]
print(n-Counter(Per).most_common(1)[0][1] if n!=1 else 1)
#from math import ceil,sqrt,log,gcd,pi
#def ii():return int(input())
#def si():return input()
#def mi():return map(int,input().split())
#def li():return list(mi())

n=ii()
a=li()
b={}
for i in range(len(a)):
    b[a[i]]=i
a.sort()
x=[]
for i in range(n):
    if i!=b[a[i]]:
        x.append([i,b[a[i]]])
# print(x)
if(len(x)>2):
    print("No")
elif(len(x)==2 and x[0][0]!=x[1][1]):
    print('No')
else:
    print("Yes")

### FIXED CODE ###

# from math import ceil,sqrt,log,gcd,pi
# def ii():return int(input())
# def si():return input()
# def mi():return map(int,input().split())
# def li():return list(mi())

# for _ in range(ii()):
a,b=map(int,input().split())
s=(a+b)
if(s==0 or s%2):
    print("IMPOSSIBLE")
else:
    x=0
    if(s!=0):
        x=abs(s)//2
    print(x)
n,m=map(int, input())
print((n-1)*(m-1))

### FIXED CODE ###

n,m=map(int, input().split())
print((n-1)*(m-1))
# -*- coding: utf-8 -*-
"""
A - Multiple of 2 and N
https://beta.atcoder.jp/contests/abc102/tasks/abc102_a

"""
import sys
from sys import stdin
input = stdin.readline


from math import gcd

def main(args):
    N = int(input())
    g = gcd(N, 2)
    print(N * 2 // g)


if __name__ == '__main__':
    main(sys.argv[1:])


### FIXED CODE ###

# -*- coding: utf-8 -*-
"""
A - Multiple of 2 and N
https://beta.atcoder.jp/contests/abc102/tasks/abc102_a

"""
import sys
from sys import stdin
input = stdin.readline


from fractions import gcd

def main(args):
    N = int(input())
    g = gcd(N, 2)
    print(N * 2 // g)


if __name__ == '__main__':
    main(sys.argv[1:])
a,b,c = map(input().split())

if a = b+c or b = a+c or c = a+b :
  print("Yes")
else:
  print("No")
    

	



### FIXED CODE ###

a,b,c = map(int,input().split())
 
if a == b+c or b == a+c or c == a+b :
  print("Yes")
else:
  print("No")
import numpy
s=list(input())
t=list(input())
dp=[["" for _ in range(len(t)+1)] for _ in range(len(s)+1)]
for i in range(len(s)):
    for j in range(len(t)):
        if s[i]==t[j]:
            list=[dp[i][j]+s[i],dp[i+1][j],dp[i][j+1]]
            index=numpy.argmax([len(item) for item in list])
            dp[i+1][j+1]=list[index]
        else:
            list=[dp[i][j],dp[i+1][j],dp[i][j+1]]
            index=numpy.argmax([len(item) for item in list])
            dp[i+1][j+1]=list[index]
print(dp[len(s)][len(t)])

### FIXED CODE ###

s=list(input())
t=list(input())
dp=[[0 for _ in range(len(t)+1)] for _ in range(len(s)+1)]

for i in range(len(s)):
    for j in range(len(t)):
        if s[i]==t[j]:
            dp[i+1][j+1]=max(dp[i][j]+1,dp[i+1][j],dp[i][j+1])
        else:
            dp[i+1][j+1]=max(dp[i+1][j],dp[i][j+1])

path=[]

lens=len(s)
lent=len(t)
while lens>-1 and lent>-1 :
    if dp[lens][lent]==dp[lens-1][lent]:
        lens-=1
    elif dp[lens][lent]==dp[lens][lent-1]:
        lent-=1
    else:
        path.append(lens)
        lens-=1
        lent-=1

path.sort()
if path==[]:
    print("")
else:
    for i in path:
    	print(s[i-1],end="")
import math
import operator
from functools import reduce
N = int(input())
a_list = list(map(int, input().split(' ')))

def lcm_list(numbers):
    return reduce(operator.mul, numbers) // reduce(math.gcd, numbers)

m = lcm_list(a_list) - 1

print(sum([m % a for a in a_list]))


### FIXED CODE ###

import fractions
import operator
from functools import reduce
N = int(input())
a_list = list(map(int, input().split(' ')))

def lcm_list(numbers):
    return reduce(operator.mul, numbers) // reduce(fractions.gcd, numbers)

m = lcm_list(a_list) - 1

print(sum([m % a for a in a_list]))
a,b,n = map(int,input().split())
if n<b:
  print(int(a*n/b))
  exit()
if n<2*b:
  print(int(a*n/b))
else:
  print(int(a*(b-1))/b)- int(a*(b-1)/b)

### FIXED CODE ###

a,b,n = map(int,input().split())
if n<b:
  answer = (a*n//b)-a*(n//b)
else:
  answer = (a*(b-1)//b) - a*((b-1)//b)
print(answer)
N = int(input())
a = input().split()
for i in range(N):
  a[i] = int(a[i])
index = 1
count = 0
for i in range(N):
  if a[i] = index:
  	index += 1
  else:
    count += 1
print(count)

### FIXED CODE ###

N = int(input())
a = input().split()
for i in range(N):
  a[i] = int(a[i])
index = 1
count = 0
for i in range(N):
  if a[i] == index:
  	index += 1
  else:
    count += 1
if count == N:
  count = -1
print(count)
# 整数の入力
a = int(input())

# 文字列の入力
S = str(input())

chr = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ'
SS = []

for k in range(len(S)):
    for j in range(len(chr)):
        if S[k] == chr[j]:
            if (j+a) >= 25:
                SS += chr[j+a-25]
            else:
                SS += chr[j+a]

SS = ''.join(SS)

print(SS)

### FIXED CODE ###

# 整数の入力
a = int(input())

# 文字列の入力
S = str(input())

chr = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ'
SS = []

for k in range(len(S)):
    for j in range(len(chr)):
        if S[k] == chr[j]:
            if (j+a) >= 25:
                SS += chr[j+a-26]
            else:
                SS += chr[j+a]

SS = ''.join(SS)

print(SS)
x,n= map(int, input().split())
if n == 0:
  print(x)
  exit(0)
p = [int(x) for x in input().split()]
pp = []
for i in range(1,101):
  if not i in p:
    pp.append(i)
a = []
for i in pp:
  a.append(abs(x-i))
b = min(a)
c = []
for i,j in enumerate(a):
  if b == j:
    c.append(pp[i])
print(min(c))

### FIXED CODE ###

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

if n == 0:
  print(x)
  exit(0)
  
p = [int(x) for x in input().split()]

a = x
b = x

if x not in p:
  print(x)
  exit(0)

for i in range(1,101):
  a = a + 1
  b = b - 1
  if b not in p:
    print(b)
    exit(0)
  elif a not in p:
    print(a)
    exit(0)
s = input()
 
for i in range(len(s)):
    if s[i] == '?':
        if i == 0 and s[1] == 'D':
            s = s.replace('?','P',1)
        elif i == 0 and s[1] == 'P':
            s = s.replace('?','D',1)
    
        elif s[i-1] =='P' :
            s = s.replace('?','D',1)
        elif s[i-1] =='D' and (i ==len(s)-1 or s[i+1] == 'P'):
            s = s.replace('?','D',1)
        else:
            s = s.replace('?','P',1)
 
#cnt = s.count('PD')
#cnt += s.count('D')
 
print(s)

### FIXED CODE ###

s = input()
 
for i in range(len(s)):
    if s[i] == '?':
        if i == 0 and len(s) == 1:
            s = s.replace('?','D',1)
        elif i == 0 and s[1] == 'D':
            s = s.replace('?','P',1)
        elif i == 0 and s[1] == 'P':
            s = s.replace('?','D',1)
        elif i == 0 and s[1] == '?':
            s = s.replace('?','D',1)
        elif s[i-1] =='P':
            s = s.replace('?','D',1)
        elif s[i-1] =='D' and (i ==len(s)-1):
            s = s.replace('?','D',1)
        elif s[i-1] =='D' and (i <len(s)-1 and(s[i+1] == 'P' or s[i+1] == '?')):
            s = s.replace('?','D',1)
        else:
            s = s.replace('?','P',1)


print(s)
from itertools import product

N = int(input())
xy = [[] for in range(N)]

for i in range(N):
    for j i range(int(input())):
        xy[i].append(list(map(int, input().split())))
        
ans = 0
for bit in product([0,1], repeat=N):
    f = 0
    for i, j in enumerate(bit):
        if j == 1:
            for x, y in xy[i]:
                if bit[x-1] != y:
                    f = 1
                    break
    if f == 0:
        ans = max(ans, sum(bit))
print(ans)

### FIXED CODE ###

from itertools import product

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

for i in range(N):
    for j in range(int(input())):
        xy[i].append(list(map(int, input().split())))
        
ans = 0
for bit in product([0,1], repeat=N):
    f = 0
    for i, j in enumerate(bit):
        if j == 1:
            for x, y in xy[i]:
                if bit[x-1] != y:
                    f = 1
                    break
    if f == 0:
        ans = max(ans, sum(bit))
print(ans)
N = int(input())
S = [[int(i) for i in input().split()] for j in range(N)]
SS = sorted(S,key=lambda x: x[2], reverse=True)

#(x, y)を(0,0)から(100,100)まで試す
def firstlook(si, kohod): 
    for x in range(0, 100+1):
        for y in range(0, 100+1):
            h = si[2]+abs(si[0]-x)+abs(si[1]-y)
            kohod[(x,y)] = h
    return kohod

def lastlook(si, kohod):
    for (x, y) in list(kohod.keys()):
        h = max((si[2]+abs(si[0]-x)+abs(si[1]-y)),0)
        if kohod[(x,y)] != h:
            del kohod[(x,y)]
    return kohod

anspre = firstlook(SS[0], dict())
for Si in SS:
    ans = lastlook(Si, anspre)

[xy] = list(ans.keys())
print(str(xy[0]) + " " + str(xy[1]) + " "+ str(ans[xy]))

### FIXED CODE ###

N = int(input())
S = [[int(i) for i in input().split()] for j in range(N)]
SS = sorted(S,key=lambda x: x[2], reverse=True)

#(x, y)を(0,0)から(100,100)まで試す
def firstlook(si, kohod): 
    for x in range(0, 100+1):
        for y in range(0, 100+1):
            h = si[2]+abs(si[0]-x)+abs(si[1]-y)
            kohod[(x,y)] = h
    return kohod

def lastlook(si, kohod):
    for (x, y) in list(kohod.keys()):
        h = max(kohod[(x,y)]-abs(si[0]-x)-abs(si[1]-y),0)
        if si[2] != h:
            del kohod[(x,y)]
    return kohod

ans = firstlook(SS[0], dict())
for Si in SS[1:]:
    ans = lastlook(Si, ans)

[xy] = list(ans.keys())
print(str(xy[0]) + " " + str(xy[1]) + " "+ str(ans[xy]))
def solve(n, a_list):
    digits_map = {1: 2, 2: 5, 3: 5, 4: 4, 5: 5, 6: 6, 7: 3, 8: 7, 9: 6}
    useage_map = {}
    for a in a_list:
        useage_map[a] = digits_map[a]

    # 1-origin
    dp = [0 for _ in range(n + 1)]
    for digits, value in useage_map.items():
        dp[value] = digits

    # time O(NM)
    for cost in range(1, n + 1):
        for digits, value in useage_map.items():
            if cost - value < 0 or dp[cost - value] == 0:
                continue
            dp[cost] = max(
                dp[cost],
                int("{}{}".format(digits, dp[cost - value]))
            )

    return dp[n]


def main():
    n, m = map(int, input().split())
    a_list = list(map(int, input().split()))

    ans = solve(n, a_list)
    print(ans)


main()


### FIXED CODE ###

def solve(n, a_list):
    numbers_map = {1: 2, 2: 5, 3: 5, 4: 4, 5: 5, 6: 6, 7: 3, 8: 7, 9: 6}
    usable_map = {}
    for a in a_list:
        usable_map[a] = numbers_map[a]

    # 1-origin 桁数を保存 -infで初期化
    inf = 1000
    dp = [0] + [-inf for _ in range(n)]
    for value in usable_map.values():
        if value <= n:
            dp[value] = 1

    # time O(NM)
    for cost in range(1, n + 1):
        for value in usable_map.values():
            if cost - value < 0 or dp[cost - value] == 0:
                continue
            dp[cost] = max(
                dp[cost],
                dp[cost - value] + 1
            )

    # time O(M log(M))
    buff = []
    digit = n
    reverse_usable_list = sorted(usable_map.items(), reverse=True)
    while True:
        for num, value in reverse_usable_list:
            if digit - value < 0 or dp[digit] - 1 != dp[digit - value]:
                continue
            buff.append(str(num))
            digit -= value
            break
        if digit <= 0:
            break

    return "".join(buff)


def main():
    n, m = map(int, input().split())
    a_list = list(map(int, input().split()))

    ans = solve(n, a_list)
    print(ans)


main()
c = a*b
if c%2 == 0:
  print("Even")
else:
  print("Odd")

### FIXED CODE ###

a, b = map(int, input().split())
if a*b % 2 == 0 :
  print("Even")
else:
  print("Odd")
nums =input().split()
a = int(nume[0])
b = int(nums[1])
if a < b:
 print(a)
elif a > b:
 print("a < b")
eles:
 print('a == b')

### FIXED CODE ###

nums = input().split()
a = int(nums[0])
b = int(nums[1])
if a < b:
     print('a < b')
elif a > b:
     print('a > b')
else:
     print('a == b')
#include<iostream>
using namespace std;

int main(void){
    int A,B,C,D;
    cin >> A >> B >> C >> D;
    const int lower = max(A,C);
    const int upper = min(B,D);
    
    cout << max(0,upper-lower) << endl;
    
    return 0;
}

### FIXED CODE ###

A,B,C,D = map(int,input().split())
lower = max(A,C)
upper = min(B,D)

print(max(0,upper-lower))
n, k = map(int, input().split())
a = list(map(int, input().split()))
mod = 10 ** 9 + 7

plus = []
minus = []
for i in a:
    if i > 0: plus.append(i)
    if i < 0: minus.append(-i)
plus.sort(reverse=True)
minus.sort(reverse=True)

ans = 1
if k == n:
    for x in a:
        ans = (ans * x) % mod
elif k > len(plus) + len(minus):
    ans = 0
elif n == len(plus):
    for x in plus[:k]:
        ans = (ans * x) % mod
elif n == len(minus):
    if k % 2 == 1:
        ans = -1
        minus.sort()
    for x in minus[:k]:
        ans = (ans * x) % mod
else:
    i, j = 0, 0
    while i + j < k:
        if i + j == k - 1:
            ans = (ans * plus[i]) % mod
            i += 1
        else:
            x_p = (plus[i] * plus[i + 1]) % mod if i < len(plus) - 1 else 0
            x_m = (minus[j] * minus[j + 1]) % mod if j < len(minus) - 1 else 0
            if x_p > x_m:
                ans = (ans * x_p) % mod
                i += 2
            else:
                ans = (ans * x_m) % mod
                j += 2
print(ans)


### FIXED CODE ###

n, k = map(int, input().split())
a = list(map(int, input().split()))
mod = 10 ** 9 + 7

plus = []
minus = []
for i in a:
    if i > 0: plus.append(i)
    if i < 0: minus.append(i)

ans = 1
if k > len(plus) + len(minus):
    ans = 0
elif len(minus) == 0:
    plus.sort(reverse=True)
    for i in range(k):
        ans = (ans * plus[i]) % mod
elif len(plus) == 0:
    if k % 2 == 0:
        minus.sort()
        for i in range(k):
            ans = (ans * minus[i]) % mod
    else:
        if n != len(minus):
            ans = 0
        else:
            minus.sort(reverse=True)
            for i in range(k):
                ans = (ans * minus[i]) % mod
elif k == len(plus) + len(minus) and (len(minus) % 2) == 1:
    if n != k:
        ans = 0
    else:
        for x in plus:
            ans = (ans * x) % mod
        for y in minus:
            ans = (ans * y) % mod
else:
    plus.sort(reverse=True)
    minus.sort()
    i, j = 0, 0
    if k % 2 == 1:
        ans = plus[0]
        i = 1
    while i + j < k:
        tmp_p = plus[i] * plus[i + 1] if i <= len(plus) - 2 else 1
        tmp_m = minus[j] * minus[j + 1] if j <= len(minus) - 2 else 1
        if tmp_p >= tmp_m:
            ans = (ans * (tmp_p % mod)) % mod
            i += 2
        else:
            ans = (ans * (tmp_m % mod)) % mod
            j += 2
print(ans)
n = int(input().rstrip())

a = []

for i in range(n):
    a.append(list(map(int,input().split())))

ans = 0
for i in range(n-1):
    x = max(0,a[i+1]-a[i])
    ans+=x
    a[i+1]+=x

print(ans)


### FIXED CODE ###

n = int(input())

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

ans = 0
for i in range(n-1):
    x = max(0, a[i] - a[i+1])
    ans += x
    a[i+1] += x

print(ans)
import sys
sys.setrecursionlimit(10000)

def findset(x,element,weight):
    if(x != element[x]):
        element[x],s = findset(element[x],element,weight)
        weight[x] += s
    return element[x],weight[x]

def union(x,y,element,weight,w):
    x,wx = findset(x,element,weight)
    y,wy = findset(y,element,weight)
    link(x,wx,y,wy,w,element)
def link(x,wx,y,wy,z,element):
    z = z+wy-wx

    element[x] = y
    weight[x] = z

n,q = map(int, input().split());

element = [i for i in range(n)]
weight = [0 for i in range(n)]

for i in range(q):
    inp = map(int, input().split());
    inp = list(inp)    
    if(inp[0] == 0):
        x,y,w = inp[1],inp[2],inp[3]
        union(x,y,element,weight,w)
    else:
        x,y = inp[1],inp[2]
        x,wx = findset(x,element,weight)
        y,wy = findset(y,element,weight)
        if(x == y):
            print(wx-wy)
        else:
            print('?')



### FIXED CODE ###

import sys
sys.setrecursionlimit(50000)

def findset(x,element,weight):
    if(x != element[x]):
        element[x],s = findset(element[x],element,weight)
        weight[x] += s
    return element[x],weight[x]

def union(x,y,element,weight,w):
    x,wx = findset(x,element,weight)
    y,wy = findset(y,element,weight)
    link(x,y,w+wy-wx,element,weight)

def link(x,y,z,element,weight):

    element[x] = y
    weight[x] = z

n,q = map(int, input().split());

element = [i for i in range(n)]
weight = [0 for i in range(n)]

for i in range(q):
    inp = map(int, input().split());
    inp = list(inp)    
    if(inp[0] == 0):
        x,y,w = inp[1],inp[2],inp[3]
        union(x,y,element,weight,w)
    else:
        x,y = inp[1],inp[2]
        x,wx = findset(x,element,weight)
        y,wy = findset(y,element,weight)
        if(x == y):
            print(wx-wy)
        else:
            print('?')
import math

a,b,c,d = map(int,input().split())
tn = b-a+1


cn = b//c-(a-1)//c
dn = b//d-(a-1)//d
#最少公倍数
cd = (c*d)//math.gcd(c, d)
cdn = b//cd-(a-1)//cd

print(tn-cn-dn+cdn)

### FIXED CODE ###

import fractions

a,b,c,d = map(int,input().split())
tn = b-a+1

cn = (b//c)-(a-1)//c
dn = (b//d)-(a-1)//d
cd = (c*d)//fractions.gcd(c, d)
cdn = (b//cd)-(a-1)//cd

print(tn-cn-dn+cdn)
3*(r**2)

### FIXED CODE ###

r = int(input())
print(3*(r**2))
def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a


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

ansa=prime_factorize(a)
ansb=prime_factorize(b)
count=0

for i in range(len(ansa)):
    if ansa[i] in ansb:
        count+=1
    


print(count)


### FIXED CODE ###

n=int(input())
count=0
for i in range(1,n+1,2):
    count+=1
print(count/n)
a, b, c = map(int, input().split())

if abs(a - b) < abs(a - c) and abs(a - b) < abs(b - c):
    print(abs(a - b) + abs(b - c))
elif abs(a - c) < abs(a - b) and abs(a - c) < abs(b - c):
    print(abs(a - c) + abs(c - b)
elif abs(b - c) < abs(a - b) and abs(b - c) < abs(a - c):
    print(abs(b - c) + abs(c - a))


### FIXED CODE ###

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

a.sort()

print(a[2]-a[0])
decimal.Decimal

### FIXED CODE ###

import decimal

A, B = input().split()
A = int(A)
B = decimal.Decimal(B)
C = A * B
C = int(C)
print(C)
import math

A, B, C, D = map(int, input().split())

x = math.gcd(C, D)
CD = x * (C // x) * (D // x)

Cm = B // C - (A - 1) // C
Dm = B // D - (A - 1) // D
CDm = B // CD - (A - 1) // CD

print(B + 1 - A - (Cm + Dm - CDm))

### FIXED CODE ###

import fractions

A, B, C, D = map(int, input().split())

x = fractions.gcd(C, D)
CD = x * (C // x) * (D // x)

Cm = B // C - (A - 1) // C
Dm = B // D - (A - 1) // D
CDm = B // CD - (A - 1) // CD

print(B + 1 - A - (Cm + Dm - CDm))
from collections import deque

n, m = map(int, input().split())
E = [[] for i in range(m)]

for i in range(m):
    a, b = map(int, input().split())
    E[a-1].append(b-1)
    E[b-1].append(a-1)

INF = 2 * m

dists = [INF for i in range(n)]

def bfs(cur, pre, dist):
    global dists
    stack = deque([[cur, pre, dist]])
    while stack:
        cur, pre, dist = stack.popleft()
        if dist < dists[cur]:
            dists[cur] = dist
            for e in E[cur]:
                if e != pre:
                    stack.append([e, cur, dist + 1])
bfs(0, -1, 0)

print('Yes')

for i in range(1,n):
    di = dists[i]
    for e in E[i]:
        if di - 1 == dists[e]:
            print(e+1)
            break


### FIXED CODE ###

from collections import deque

n, m = map(int, input().split())
E = [[] for i in range(n)]

for i in range(m):
    a, b = map(int, input().split())
    E[a-1].append(b-1)
    E[b-1].append(a-1)

INF = 2 * m

dists = [INF for i in range(n)]

def bfs(cur, pre, dist):
    stack = deque([[cur, pre, dist]])
    while stack:
        cur, pre, dist = stack.popleft()
        if dist < dists[cur]:
            dists[cur] = dist
            for e in E[cur]:
                if e != pre:
                    stack.append([e, cur, dist + 1])
bfs(0, -1, 0)

print('Yes')

for i in range(1,n):
    di = dists[i]
    for e in E[i]:
        if di - 1 == dists[e]:
            print(e+1)
            break
a,b,c,d=map(int,input().split())
e=a//d
f=c//b
x=a-e*d
y=c-f*b
if x==y==0:
  if f<=e:
    print('Yes')
  else:
    print('N0')
elif x==0 and y!=0:
  if f+1<=e:
    print('YES')
  else:
    print('No')
elif y==0 and x!=0:
  if f<=e+1:
    print('Yes')
  else:
    print('NO')
else:
  if f<=e:
    print('Yes')
  else:
    print('No')
  

### FIXED CODE ###

S,W=map(int,input().split())
if S<=W:
  print('unsafe')
else:
  print('safe')
def e(x,y):
 A[y][x]='0'
 for dx,dy in[(i,0),(0,i)for i in range(-3,4)if i]:
  if 0<=x+dx<8 and 0<=y+dy<8 and A[y+dy][x+dx]=='1':e(x+dx,y+dy)

for i in range(int(input())):
 print(f'Data {i+1}:')
 input()
 A=[list(input())for _ in[0]*8]
 e(int(input())-1,int(input())-1)
 for r in A:print(*r,sep='')


### FIXED CODE ###

def b(x,y):
 A[y][x]='0'
 for d in range(-3,4):
  0<=x+d<8and'1'==A[y][x+d]and b(x+d,y)
  0<=y+d<8and'1'==A[y+d][x]and b(x,y+d)
e=input
for i in range(int(e())):
 print(f'Data {i+1}:')
 e()
 A=[list(e())for _ in[0]*8]
 b(int(e())-1,int(e())-1)
 for r in A:print(*r,sep='')
a = int(input())
ans = 0
if a[0] == 1:
  ans = ans+1
else:
  ans = ans
if a[1] == 1:
  ans = ans+1
else:
  ans = ans
if a[2] == 1:
  ans = ans+1
else:
  ans = ans
print(ans)

### FIXED CODE ###

a = input()
if a == "000":
  print("0")
elif a == "001" or a == "010" or a == "100":
  print("1")
elif a == "111":
  print("3")
else:
  print("2")
print("Odd" if (int(input()).replace(" ","*"))%2 else "Even")

### FIXED CODE ###

print("Odd" if eval(input().replace(" ","*"))%2 else "Even")