Harryxun/stf_run huggingface dataset:
from heapq import *
import sys
from collections import *
from itertools import *
from decimal import *
import copy
from bisect import *
import math
sys.setrecursionlimit(4100000)
def gcd(a,b):
    if(a%b==0):return(b)
    return (gcd(b,a%b))
input=lambda :sys.stdin.readline().rstrip()


N=int(input())
X=input()
C=X.count("1")

lst=[]
for x in [C-1,C+1]:

    if C<=0:
        lst.append(-1)
    else:
        Z=0
        p=1
        for i in range(N):
            if X[-i-1]=="1":
                Z+=p
            p*=2
            p%=x
            Z%=x
        lst.append(Z)

#print(lst)
fac1=[1]
fac2=[1]
C1=C-1
C2=C+1
for i in range(N):
    fac1.append(fac1[-1]*2%C1)
    fac2.append(fac2[-1]*2%C2)

for i in range(N):

    _C=C+(1 if X[i]=="0"  else -1 )
    if  X[i]=="0":
        lstidx=1
    else:
        lstidx=0

    idx=(N-1-i)

    value=lst[lstidx]+(fac2[idx] if  X[i]=="0" else fac1[idx])
    #print(lst[lstidx],value)
    count=0
    while value:
        count+=1
        value%=_C
        _C=0
        bit=value
        while bit:
            _C+=bit&1
            bit>>=1
    print(max(count,1))


### FIXED CODE ###

from heapq import *
import sys
from collections import *
from itertools import *
from decimal import *
import copy
from bisect import *
import math
sys.setrecursionlimit(4100000)
def gcd(a,b):
    if(a%b==0):return(b)
    return (gcd(b,a%b))
input=lambda :sys.stdin.readline().rstrip()


N=int(input())
X=input()
C=X.count("1")

lst=[]
lstcount=[]
for x in [C-1,C+1]:
    flg=0
    if x<=0:
        lst.append(0)
        lstcount.append(0)
    else:
        Z=0
        p=1
        for i in range(N):
            if X[-i-1]=="1":
                Z+=p
            p*=2
            if Z>=x:
                Z%=x
                flg=1
            if flg:
                p%=x
        lst.append(Z)
        lstcount.append(flg)
#print(lst)
fac1=[1]
fac2=[1]
C1=max(C-1,1)
C2=max(C+1,1)
for i in range(N):
    fac1.append(fac1[-1]*2%C1)
    fac2.append(fac2[-1]*2%C2)

for i in range(N):

    _C=C+(1 if X[i]=="0"  else -1 )
    if _C==0:
        print(0)
        continue
    if  X[i]=="0":
        lstidx=1
    else:
        lstidx=0

    idx=(N-1-i)

    value=lst[lstidx]+(fac2[idx] if  X[i]=="0" else -fac1[idx])
    #print(value,X[i]=="0",lst,C-1,C+1)
    bit=value
    count=0
    while value and _C:
        count+=1
        value%=_C
        _C=0
        bit=value
        while bit:
            _C+=bit&1
            bit>>=1
    print(max(count,1))
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

from collections import Counter
n = int(input())
prime_list = prime_factorize(n)

cnt = Counter(prime_list)
cnt_values = list(cnt.values())
value_list = [range(i + 1) for i in cnt_values]
iter_list = list(value_list[0])
iter_list = [[i] for i in iter_list]
for v_list in value_list[1:]:
    tmp = []
    for v in v_list:
        for i in iter_list:
            tmp.append(i + [v])
    iter_list = tmp
    
key_list = list(cnt.keys())
ans = n - 1
mod = 2 * n
for i_list in iter_list:
    tmp = 1
    for key, value in zip(key_list, i_list):
        tmp = tmp * pow(key, value)
    if tmp == 1:
        continue
    if tmp * (tmp - 1) % mod == 0:
        ans = min(ans, tmp - 1)
    if tmp * (tmp + 1) % mod == 0:
        ans = min(ans, tmp)
print(ans)    

### FIXED CODE ###

import math

def gcd_ext(a, b):
    x, y, lastx, lasty = 0, 1, 1, 0
    while b != 0:
        q = a // b
        a, b = b, a % b
        x, y, lastx, lasty = lastx - q * x, lasty - q * y, x, y
    return (lastx, lasty)

n = int(input())
divisor_list = []
n *= 2
for x in range(2, int(n ** 0.5) + 1):
    if n % x == 0:
        divisor_list.append([x, n // x])
ans = n - 1
for m1, m2 in divisor_list:
    if math.gcd(m1, m2) != 1:
        continue
    p, q = gcd_ext(m1, m2)
    tmp = (-1 * m1 * p) % (m1 * m2)
    ans = min(tmp, ans)
    tmp = (-1 * m2 * q) % (m1 * m2)
    ans = min(tmp, ans)
print(ans)
def binary(list_a,item):
  low=0
  high=len(list_a)-1
  while (high-low)>1:
    mid=int((low+high)/2)
    tmp=list_a[mid]
    if tmp>item:
      high=mid
    elif tmp<item:
      low=mid
    elif tmp==item:
      eq=[i for i, x in enumerate(list_a) if x == tmp]
      high=eq[-1]
      low=eq[0]
      return low-1,high+1
  return low,high


def main():
  N=int(input())
  A=sorted(list(map(int,input().split())))
  B=sorted(list(map(int,input().split())))
  C=sorted(list(map(int,input().split())))
  print(A)
  print(B)
  print(C)
  ans=0
  for b in B:
    a_low,a_high=binary(A,b)
    c_low,c_high=binary(C,b)
    
    if b>A[a_high]:
      a_low=N-1
    elif b<A[a_low]:
      a_low=0
      
    if b<C[c_low]:
      c_high=0
    elif b>C[c_high]:
      c_high=N
    
    print(a_low+1,N-c_high)
    ans+=(a_low+1)*(N-c_high)
  print(ans)
  
if __name__=="__main__":
  main()

### FIXED CODE ###

import bisect

def main():
  N=int(input())
  A=sorted(list(map(int,input().split())))
  B=sorted(list(map(int,input().split())))
  C=sorted(list(map(int,input().split())))
  ans=0
  for b in B:
    a=bisect.bisect_left(A,b)
    c=N-bisect.bisect_right(C,b)
    ans+=a*c
  print(ans)
  
if __name__=="__main__":
  main()
import math

n, m = map(int, input().split())
mm = m // n
res = []
for k in range(1, int(math.sqrt(m))):
    if m % k == 0:
        if k > mm:
            break
        if m // k <= mm:
            k = m // k
        res.append(k)
print(max(res))

### FIXED CODE ###

import collections
import itertools
import math


def eratosthenes(n):
    sieve = [True for _ in range(n + 1)]
    sieve[0] = False
    sieve[1] = False

    def _update(p):
        if sieve[p]:
            for i in range(p * 2, n + 1, p):
                sieve[i] = False

    _update(2)
    p = 3
    while p * p <= n:
        _update(p)
        p += 2
    return sieve


n, m = map(int, input().split())
m2 = math.ceil(math.sqrt(m)) + 1
sieve = eratosthenes(m2)
counter = collections.Counter()

mm = m
for k in range(2, m2):
    if sieve[k] and m % k == 0:
        while mm % k == 0:
            mm //= k
            counter[k] += 1
if mm > 1:
    counter[mm] += 1

es = [range(k + 1) for k in counter.values()]
res = 1
for ks in itertools.product(*es):
    x = 1
    for p, k in zip(counter.keys(), ks):
        x *= p**k
    if x <= m // n:
        res = max(res, x)
print(res)
s=input()
foi i in s:
  if i=="9":
    print('1',end="")
  else:
    print("9",end="")
print()

### FIXED CODE ###

s=input()
for i in s:
  if i=="9":
    print('1',end="")
  else:
    print("9",end="")
print()
import pandas as pd

s = str(input())
n = int(input())
q_list = [list(map(str, input().strip().split())) for i in range(n)]
df = pd.DataFrame( columns=['S', 'N'] )
df = df.append(pd.Series([s, 0], index=df.columns), ignore_index=True)
out = ''

for q in q_list:
    if q[0] == '1':
        df['N'] = len(df) - 1 - df['N']
    elif q[1] == '1':
        df['N'] = df['N'] + 1
        df = df.append(pd.Series([q[2], 0], index=df.columns), ignore_index=True)
    else:
        df = df.append(pd.Series([q[2], len(df) ], index=df.columns), ignore_index=True)

df_s = df.sort_values('N')
for x in df_s['S']:
    out += x
print(out)


### FIXED CODE ###

s = str(input())
n = int(input())
q_list = [list(map(str, input().strip().split())) for i in range(n)]

rev = 0
for_s = ''
rev_s = ''

out = ''
for q in q_list:
    if q[0] == '1':
        rev = 1 - rev
    elif q[1] == '1':
        if rev == 0:
            rev_s += q[2]
        else:
            for_s += q[2]
    else:
        if rev == 0:
            for_s += q[2]
        else:
            rev_s += q[2]

if rev == 0:
    out = rev_s[::-1] + s + for_s
else:
    out = for_s[::-1] + s[::-1] + rev_s
print(out)
a = input().split()
h, n = int(a[0]), int(a[1])
nums = input().split()
nums = list(map(int, nums))
x = max(nums)
xx = nums.index(x)
del nums[xx]
y = max(nums)
z = x + y

if z >= h:
  print("yes")
else:
  print("no")

### FIXED CODE ###

a = input().split()
h, n = int(a[0]), int(a[1])
nums = input().split()
nums = list(map(int, nums))
x = h - sum(nums)
if x <= 0:
  print("Yes")
else:
  print("No")
import math

r = raw_input()

print '%f %f%'%(float(r)*r*math.pi, float(r)*float(2)*math.pi)

### FIXED CODE ###

import math

r = raw_input()

print '%f %f'%(float(r)*float(r)*math.pi, float(r)*2*math.pi)
import sys
def input():
    return sys.stdin.readline()[:-1]
N = int(input())
A=list(map(int,input().split()))
l=[0]*59
for i in A:
    s=str(bin(i))[2:]
    for j in range(len(s)):
        if s[-j-1]=="1":
            l[j]+=1
a=0
for i in range(59):
    a=(a+2**i*l[i]*(N-l[i]))%(10**9+7)
print(a)

### FIXED CODE ###

import sys
def input():
    return sys.stdin.readline()[:-1]
N = int(input())
A=list(map(int,input().split()))
l=[0]*60
for i in A:
    s=str(bin(i))[2:]
    for j in range(len(s)):
        if s[-j-1]=="1":
            l[j]+=1
a=0
for i in range(60):
    a=(a+2**i*l[i]*(N-l[i]))%(10**9+7)
print(a)
import bisect
import heapq
import itertools
import math
import os
import re
import string
import sys
from collections import Counter, deque, defaultdict
from copy import deepcopy
from decimal import Decimal
from fractions import gcd
from functools import lru_cache, reduce
from operator import itemgetter

import numpy as np

if os.getenv("LOCAL"):
    sys.stdin = open("_in.txt", "r")

sys.setrecursionlimit(2147483647)
INF = float("inf")
IINF = 10 ** 18
MOD = 10 ** 9 + 7

N = int(sys.stdin.readline())
A = list(map(int, sys.stdin.readline().split()))

if len(A) % 3 == 0:
    c = Counter(A)
    k = c.keys()
    s = len(c.keys())
    if len(k) == 3:
        ok = len(Counter(c.values()).keys()) == 1
    if len(k) == 2:
        ok = min(c.values()) * 2 == max(c.values())
    if len(k) == 1:
        ok = True
else:
    ok = False
if ok:
    print('Yes')
else:
    print('No')


### FIXED CODE ###

import bisect
import heapq
import itertools
import math
import os
import re
import string
import sys
from collections import Counter, deque, defaultdict
from copy import deepcopy
from decimal import Decimal
from fractions import gcd
from functools import lru_cache, reduce
from operator import itemgetter

import numpy as np

if os.getenv("LOCAL"):
    sys.stdin = open("_in.txt", "r")

sys.setrecursionlimit(2147483647)
INF = float("inf")
IINF = 10 ** 18
MOD = 10 ** 9 + 7

N = int(sys.stdin.readline())
A = list(map(int, sys.stdin.readline().split()))

ok = False
counts = dict(Counter(A))
keys = counts.keys()
if len(counts) <= 3:
    for k1, k2, k3 in itertools.product(keys, repeat=3):
        cnt = counts.copy()
        s = k1
        cnt[k1] -= 1
        cnt[k2] -= 1
        if k1 ^ k2 != k3:
            continue
        n = 2
        while n < N:
            cnt[k3] -= 1
            k1, k2, k3 = k2, k3, k2 ^ k3
            n += 1
        if s == k3 and not any(cnt.values()):
            ok = True
            break

if ok:
    print('Yes')
else:
    print('No')
from itertools import permutations 
inf=10**10
n, m, r1 = map(int, input().split())
r=list(map(int, input().split()))
abc=[list(map(int, input().split())) for _ in range(m)]
d=[[inf]*n for i in range(n)]
for i in range(n):
    d[i][i]=0
for ai, bi, ci in abc:
    d[ai-1][bi-1]=ci
    d[bi-1][ai-1]=ci
for k in range(n):
    for i in range(n):
        for j in range(i, n):
            d[i][j]=min(d[i][j], d[i][k]+d[k][j])
            d[j][i]=d[i][j]
p=list(permutations(r))
ans=inf
for pi in p:
    res=0
    for i in range(r1-1):
        res+=d[pi[i]-1][pi[I+1]-1]
    ans=min(ans, res)
print(ans)

### FIXED CODE ###

from itertools import permutations
N, M, R = map(int, input().split())
r = list(map(int, input().split()))
E = [list(map(int, input().split())) for _ in range(M)]
INF = 10 ** 9
d = [[INF for j in range(N)] for i in range(N)]
for i, j, c in E:
    d[i - 1][j - 1] = c
    d[j - 1][i - 1] = c
for k in range(N):
    for i in range(N - 1):
        for j in range(i, N):
            dk = d[i][k] + d[k][j]
            if d[i][j] > dk:
                d[i][j] = dk
                d[j][i] = dk
ans = 10 ** 9
for ri in permutations(r):
    x = 0
    for i in range(R - 1):
        x += d[ri[i] - 1][ri[i + 1] - 1]
    if ans > x:
        ans = x
print(ans)
s=input()
lis=[]
n=1
output=0
for i in range(len(s)-1):
    if s[i]!=s[i+1]:
        lis.append(n)
        n=1
    else:
        n+=1

    if i==len(s)-2:
        lis.append(n)
#print(lis)
if len(lis)==1:
    output=0
else:
    loop=True
    while loop:
        a=lis[0]
        b=lis[1]
        if a==b:
            output+=a+b
            del lis[0]
            del lis[0]
        elif a<b and len(lis)>2:
            output+=a*2
            lis[1]-=a
            del lis[0]
        elif a>b and len(lis)>2:
            output+=b*2
            lis[2]+=a-b
            del lis[0]
            del lis[0]
        elif len(lis)<=2:
            output+=min(a,b)*2
            del lis[0]

        if len(lis)==0 or len(lis)==1:
            loop=False

print(output)
    
            


### FIXED CODE ###

s=input()
n0=0
n1=0
for i in s:
    if i=="0":
        n0+=1
    else:
        n1+=1
print(2*min(n0,n1))
n = int(input())
d = list(map(int ,input().split()))

d.sort()
mod = 998244353
s = [0 for i in range(max(d)+1)]

for i in range(n):
  s[d[i]] += 1
ans = 1
for i in range(len(s)):
  if s[i] == 0:
    print (0)
    exit()
  if i == 0:
    if s[i] > 1:
      print (0)
      exit()
    continue
  ans *= s[i-1]**(s[i])
  ans %= mod
print (ans)

### FIXED CODE ###

n = int(input())
cnt = 0
for i in range(n//2):
	if (i+1)+ (i+1) == n:
		continue
	cnt +=1
print (cnt)
a, b, m = map(int, input().split())
    priceOfMicrowaves = list(map(int, input().split()))
    priceOfRefrigerators = list(map(int, input().split()))
    priceTable = [list(map(int,input().split())) for i in range(m)]
    cheepest = priceOfMicrowaves[0] + priceOfRefrigerators[0]
    for p in priceOfMicrowaves:
        for q in priceOfRefrigerators:
            if p + q < cheepest:
                cheepest = p + q
    for price in priceTable:
        if priceOfMicrowaves[price[0]-1]+priceOfRefrigerators[price[1]-1]-price[2] < cheepest:
            cheepest = priceOfMicrowaves[price[0]-1]+priceOfRefrigerators[price[1]-1]-price[2]
    print(cheepest)


### FIXED CODE ###

a, b, m = map(int, input().split())
priceOfMicrowaves = list(map(int, input().split()))
priceOfRefrigerators = list(map(int, input().split()))
priceTable = [list(map(int,input().split())) for i in range(m)]
cheepest = priceOfMicrowaves[0] + priceOfRefrigerators[0]
for price in priceTable:
    if priceOfMicrowaves[price[0]-1]-price[2] >= cheepest:
        continue
    elif priceOfRefrigerators[price[1]-1]-price[2] >= cheepest:
        continue
    elif priceOfMicrowaves[price[0]-1]+priceOfRefrigerators[price[1]-1]-price[2] < cheepest:
        cheepest = priceOfMicrowaves[price[0]-1]+priceOfRefrigerators[price[1]-1]-price[2]
if cheepest > min(priceOfMicrowaves) + min(priceOfRefrigerators):
    cheepest = min(priceOfMicrowaves) + min(priceOfRefrigerators)
print(cheepest)
import itertools
from scipy.sparse.csgraph import floyd_warshall

N, M, R = map(int, input().split())
r = tuple(map(int, input().split()))

INF = 10**10

d = [[INF] * N for _ in range(N)]

for i in range(N):
    d[i][i] = 0

for _ in range(M):
    a, b, c = map(int, input().split())
    a -= 1
    b -= 1
    if d[a][b] > c:
        d[a][b] = c
        d[b][a] = c


def warshall(d):
    for k in range(N):
        for i in range(N):
            for j in range(N):
                if d[i][j] > d[i][k] + d[k][j]:
                    d[i][j] = d[i][k] + d[k][j]


# d = floyd_warshall(d)
warshall(d)


ans = INF
for p in itertools.permutations(r):
    dist = 0
    for i in range(R-1):
        dist += d[p[i]-1][p[i+1]-1]

    if ans > dist:
        ans = dist

print(int(ans))


### FIXED CODE ###

import itertools
from scipy.sparse.csgraph import floyd_warshall

N, M, R = map(int, input().split())
r = tuple(map(int, input().split()))

INF = 10**10

d = [[INF] * N for _ in range(N)]

for i in range(N):
    d[i][i] = 0

for _ in range(M):
    a, b, c = map(int, input().split())
    a -= 1
    b -= 1
    if d[a][b] > c:
        d[a][b] = c
        d[b][a] = c

# for k in range(N):
#     for i in range(N):
#         for j in range(N):
#             d[i][j] = min(d[i][j], d[i][k] + d[k][j])

d = floyd_warshall(d)


ans = INF
for p in itertools.permutations(r):
    dist = 0
    for i in range(R-1):
        dist += d[p[i]-1][p[i+1]-1]

    ans = min(ans, dist)

print(int(ans))
a,b,c=map(int,input().split())
print(['No','Yes'][a<b<c])


### FIXED CODE ###

a,b=map(int,input().split())
print('a','>'if a>b else'<'if a<b else'==','b')
import sys

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

count = 0
ans =[]

for i in range(N-1) :
	if H[i]>=H[i+1] :
		count+=1
		ans.append(count)
	else :
		count=0

print(max(ans))

### FIXED CODE ###

import sys

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

count = 0
ans = 0

for i in range(N-1) :
	if H[i]>=H[i+1] :
		count+=1
	else :
		if ans<=count:
			ans= count
		count=0
	#print(ans)
	#print(count)
if ans<=count:
	ans= count
print(ans)
S=input()
K=int(input())
LS=len(S)

cnt=1
ans1=0
for i in range(1,LS-1):
    if S[i-1]==S[i]:
        cnt+=1
    elif cnt!=1:
        ans1+=cnt//2
        cnt=1

if K==1:
    if S[-2]==S[-1]:
        cnt+=1
        ans1+=cnt//2
else:
    if S[-2]==S[-1]:
        cnt+=1
        if cnt%2==0:
            ans1+=cnt//2
            ans1=ans1*K
        elif cnt%2==1 and S[0]==S[-1]:
            ans1+=cnt//2+1
            ans1=ans1*K-1
        elif cnt%2==1 and S[0]!=S[-1]:
            ans1+=cnt//2
            ans1=ans1*K
    else:
        if S[0]==S[-1]:
            ans1=ans1*K-1
        else:
            ans1=ans1*K
print(ans1)







### FIXED CODE ###

S=input()
K=int(input())
LS=len(S)

if LS==1:
    if K==1:
        print(0)
        exit()
    else:
        print(K//2)
        exit()

cnt=1
ans1=0
c=[]
for i in range(1,LS-1):
    if S[i-1]==S[i]:
        cnt+=1
    elif cnt!=1:
        ans1+=cnt//2
        c.append(cnt)
        cnt=1

if K==1:
    if S[-2]==S[-1]:
        cnt+=1
        ans1+=cnt//2
        print(ans1)
        exit()

if S[-2] == S[-1]:
    cnt += 1
    c.append(cnt)
    if cnt % 2 == 0:
        if ans1 != 0:
            ans1 += cnt // 2
            ans1 = ans1 * K
        else:
            ans1 = (cnt // 2) * K
    elif cnt % 2 == 1 and S[0] == S[-1]:
        if ans1 != 0:
            if c[0] % 2 == 0:
                ans1 += cnt // 2
                ans1 = ans1 * K
            else:
                ans1 += cnt // 2 + 1
                ans1 = ans1 * K - 1
        else:
            if ans1!=0:
                ans1 = (cnt // 2) * K + K - 1
            else:
                ans1=(cnt*K)//2
    elif cnt % 2 == 1 and S[0] != S[-1]:
        ans1 += cnt // 2
        ans1 = ans1 * K
else:
    ans1 += cnt // 2

    if S[0] == S[-1]:
        if ans1!=0 and c[0]%2==0:
            ans1=ans1*K
        else:
            ans1 = ans1*K+K - 1
    else:
        ans1 = ans1 * K


print(ans1)
N,W=map(int,input().split())
w=0
v=0
w_list=[]
v_list=[]
dp=[0]*(W+1)
for i in range (N):
    w,v=map(int,input().split())
    w_list.append(w)
    v_list.append(v)
for i in range (N):
    for j in range(W,-1,-1):
        if j>=w_list[i]:
            dp[j]=max(dp[j],dp[j-w_list[i]]+v_list[i])
print(dp[-1])

### FIXED CODE ###

IN=lambda:map(int,input().split())
N,W=IN()
INF=float("inf")
dp=[INF]*(1000*N)
dp.insert(0,0)
c=0
ans=0
for i in range(N):
    w,v=IN()
    for j in range((1000*N+1),-1,-1):
        if dp[j-v]!=INF:
            dp[j]=min(dp[j],dp[j-v]+w)
for i in range(1000*N+1):
    if dp[i]<=W:
        ans=i
print(ans)
a,b = map(int, input().split())
 
p = [1]*a
 
while True:
  try:
    input()
  except EOFError:
    break
  c = input().split()
  for d in c:
    p[int(d)]=0
 
print(sum(p))

### FIXED CODE ###

a,b = map(int, input().split())
 
p = [1]*a
 
while True:
  try:
    input()
  except EOFError:
    break
  c = input().split()
  for d in c:
    p[int(d)-1]=0
 
print(sum(p))
n,x = map(int, input().split())
l = map(int, input()/split())
#ボールの弾む座標
cnt=1
length=0
for i in range(n):
    length +=l[i]
    if length <=x:
        cnt+=1

print (cnt)

### FIXED CODE ###

n,x = map(int, input().split())
l = list(map(int, input().split()))
#ボールの弾む座標
cnt=1
length=0
for i in range(n):
    length +=l[i]
    if length <=x:
        cnt+=1

print (cnt)
n = input()
if n[-3] == 0:
  print(0)
else:
  print((10-int(n[-3]))**100)

### FIXED CODE ###

n = int(input())
if n%1000 == 0:
    print(0)
else:
    print(1000-n%1000)
import math

num = int(input())
ans = 0
for a in num:
    for b in num:
        for c in num:
            ans += math.gcd(a, b, c)
print(ans)

### FIXED CODE ###

import math

num = int(input())
ans = 0
for a in range(num):
    for b in range(num):
        temp = math.gcd(a + 1, b + 1)
        for c in range(num):
            ans += math.gcd(temp, c + 1)
print(ans)
nmax = 8
def dfs(v, N, visited):
    all_visited=True
    for i in range(N):
        if visited[i]==False:
            all_visited=False

    if all_visited==True:
        return 1

    ret=0
    for i in range(N):
        if graph[v][i]==False:
            continue
        if visited[i]==True:
            continue

        visited[i]=True
        ret+=dfs(i,N,visited)
        visited[i]=False

    return ret

N, M = map(int, input().split())
graph = [[False]*M for i in range(N)]
for i in range(M):
    A, B = map(int, input().split())
    graph[A-1][B-1]=True
    graph[B-1][A-1]=True

visited = [False]*N

visited[0]=True
print(dfs(0,N,visited))

### FIXED CODE ###

nmax = 8
def dfs(v, N, visited):
    all_visited=True
    for i in range(N):
        if visited[i]==False:
            all_visited=False

    if all_visited==True:
        return 1

    ret=0
    for i in range(N):
        if graph[v][i]==False:
            continue
        if visited[i]==True:
            continue

        visited[i]=True
        ret+=dfs(i,N,visited)
        visited[i]=False

    return ret

N, M = map(int, input().split())
graph = [[False]*N for i in range(N)]
for i in range(M):
    A, B = map(int, input().split())
    graph[A-1][B-1]=True
    graph[B-1][A-1]=True

visited = [False]*N

visited[0]=True
print(dfs(0,N,visited))
N = int(input())
e = [0] * (N+1)

for i in range(2, N+1):
    cur = i
    for j in range(2, i+1):
        while cur % j == 0:
            e[j] += 1
            cur //= j

def num(m): # eの要素のうち m-1 以上のものの個数
    return len(list(filter(lambda x: x >= m-1, e)))

answer = num(75) + num(25) * (num(3)-1) + num(15) * (num(5) - 1)
    + num(5) * (num(5) - 1) * (num(3) - 2) // 2)

### FIXED CODE ###

N = int(input())
e = [0] * (N+1)

for i in range(2, N+1):
    cur = i
    for j in range(2, i+1):
        while cur % j == 0:
            e[j] += 1
            cur //= j

def num(m): # eの要素のうち m-1 以上のものの個数
    return len(list(filter(lambda x: x >= m-1, e)))

answer = num(75) + num(25) * (num(3)-1) + num(15) * (num(5) - 1)\
    + num(5) * (num(5) - 1) * (num(3) - 2) // 2
print(answer)
n = int(input())
a = input().split(' ')
t = 0
for o in range(n):
    i = o + 1
    b = int(a[o]) - i
    if i == int(a[o + b]):
      t += 1
print(int(t / 2))

### FIXED CODE ###

line = list(input())
line.insert(4,' ')
final = ''.join(line)
print(final)
N, M = map(int, input().split())
SC = [list(map(int, input().split())) for _ in range(M)]

A = [-1 for _ in range(N)]

for s, c in SC:
  if A[s-1] == -1:
    A[s-1] = c
  else:
    if A[s-1] == c:
      pass
    else:
      print(-1)
      exit()

for i in range(M):
  if A[i] == -1:
    A[i] = 0

if A[0] == 0:
  print(-1)
  exit()

print(''.join(map(str, A)))

### FIXED CODE ###

N, M = map(int, input().split())
SC = [list(map(int, input().split())) for _ in range(M)]

A = [-1 for _ in range(N)]

for s, c in SC:
  if s == 1 and c == 0 and N != 1:
    print(-1)
    exit()
  if A[s-1] == -1:
    A[s-1] = c
  else:
    if A[s-1] == c:
      pass
    else:
      print(-1)
      exit()

for i in range(N):
  if A[i] == -1:
    A[i] = 0

if A[0] == 0:
  if N == 1:
    pass
  else:
    A[0] = 1

print(''.join(map(str, A)))