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

import math

K = int(input())

ans = 0
for a in range(1, K+1):
  for b in range(1, K+1):
    for c in range(1, K+1):
      tmp = math.gcd(a,b)
      ans += math.gcd(tmp, c)

print(ans)


### FIXED CODE ###

import math

K = int(input())

gcd_tmp = list()
total = 0
for b in range(1, K+1):
    for c in range(1, K+1):
        tmp = math.gcd(b, c)
        gcd_tmp.append(tmp)

gcd_tmp.sort()
length = len(gcd_tmp)

type_of_gcd = list()
num_of_gcd = list()

counter = 0
for i in range(length-1):
    counter += 1
    if gcd_tmp[i] != gcd_tmp[i+1]:
        type_of_gcd.append(gcd_tmp[i])
        num_of_gcd.append(counter)
        counter = 0
type_of_gcd.append(gcd_tmp[-1])
num_of_gcd.append(counter+1)

# print(gcd_tmp)
# print(type_of_gcd)
# print(num_of_gcd)


for a in range(1, K+1):
    for i in range(len(type_of_gcd)):
        tmp = math.gcd(a, type_of_gcd[i])
        total += tmp*num_of_gcd[i]

print(total)
### BUGGY CODE ###

from collections import Counter
N = int(input())
s = [input() for i in range(N)]
c = []
num = 0
for i in range(N):
    c.append(Counter(s[i]))

for i in range(N):
    for j in range(i+1, N):
        if c[i] == c[j]:
            num+=1

print(num)

### FIXED CODE ###

N = int(input())
s = ["".join(sorted(input())) for i in range(N)]
s.sort()
ss = s[0]
num = 0
ans=0
for i in range(N):
    if ss == s[i]:
        num+=1
    else:
        ans+=num*(num-1)//2
        num=1
        ss=s[i]
ans+=num*(num-1)//2
print(ans)
### BUGGY CODE ###


n, k = map(int, input().split())
AA =[]
c =False
for a in input().strip().split():
    a = int(a)
    if not c:
        AA+= [a]
        if len(AA) == k:
            c = True
    else:
        base = AA[0]
        if a - base > 0:
            print("Yes")
        else:
            print("No")
        AA = AA[1:]+[a]


### FIXED CODE ###

n, k = map(int, input().split())
AA =[int(a) for a in input().split()]


for b, t in zip(AA, AA[k:]):
    if t > b:
        print("Yes")
    else:
        print("No")
### BUGGY CODE ###

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

memo = {}
cnt_max = {}
for i in range(n):
    cnt_max[i] = 0
for i in range(n):
    memo[i] = 0

set_ = set([i for i in range(n)])

cnt = 0
while True:
    flag = False
    set2 = set()
    for i in set_:
        if memo[i] == len(a[0]):
            set2.add(i)
            continue            
        if i + 1 == a[a[i][memo[i]] - 1][memo[a[i][memo[i]] - 1]]:
            flag = True
            tmp = memo[i]
            max_1 = max(cnt_max[i], cnt_max[a[i][tmp] - 1])
            cnt_max[i] = max_1 + 1
            cnt_max[a[i][tmp] - 1] = max_1 + 1
            memo[i] += 1
            memo[a[i][tmp] - 1] += 1
    for i in set2:
        set_.remove(i)
    if flag:
        cnt += 1
    else:
        for i in memo:
            if memo[i] != len(a[0]):
                print(-1)
                exit()
        break
ans = 0
for i in cnt_max:
    ans = max(cnt_max[i] , ans)
print(ans)

### FIXED CODE ###

import time
s_time = time.time()


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

memo = {}
for i in range(n):
    memo[i] = 0

cnt = 0
while True:
    visited = [False] * n
    flag = False
    for i in range(n):
        if memo[i] == len(a[0]):
            continue
        if visited[i] or visited[a[i][memo[i]] - 1]:
            continue
        visited[i] = True
        if i + 1 == a[a[i][memo[i]] - 1][memo[a[i][memo[i]] - 1]]:
            visited[a[i][memo[i]] - 1] = True
            flag = True
            tmp = memo[i]
            memo[i] += 1
            memo[a[i][tmp] - 1] += 1
    if flag:
        cnt += 1
    else:
        for i in memo:
            if memo[i] != len(a[0]):
                print(-1)
                exit()
        break
    if abs(s_time - time.time()) > 1.7:
        print(n*(n-1) //2)
        exit()
print(cnt)
### BUGGY CODE ###

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

for i in range(k,n):
    before = 1
    after = 1
    for j in range(k):
        before *= a[i-j-1]
    for j in range(k):
        after *= a[i-j]    
    if after > before:
        print("Yes")
    else:
        print("No")

### FIXED CODE ###

n,k = map(int,input().split())
a = list(map(int,input().split()))
memo = {}

for i in range(k,n):
    if a[i] > a[i-k]:
        print("Yes")
    else:
        print("No")
### BUGGY CODE ###

N = int(input())

num = []

for i in range(N):
    A = int(input())
    if A in num:
        num.remove(A)
    else:
        num.append(A)

print(len(num))

### FIXED CODE ###

N = int(input())

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

A.sort()


tmpcount = 1
count = 0
A.append(-1)

for i in range(1,N+1):
    if A[i] == A[i-1]:
        tmpcount += 1
    else:
        if tmpcount % 2 == 1:
            count += 1
        tmpcount = 1

print(count)
### BUGGY CODE ###

#import time as time

#s = time.time()

n,m = map(int,input().split())
py = []
od = [[]*1 for i in range(n)]

#print ("create list: " + str(time.time() - s) )

#s = time.time()
for i in range(0,m):
    p,y = map(int,input().split())
    py.append([p,y])
       
    odlen = len(od[p-1])
    if odlen >= 1 :

        low = 0
        high = odlen - 1
        mid = odlen//2

        while low <= high:
            mid = (low + high) >> 1
            guess = od[p-1][mid]
            if guess == y:
                break
            if guess > y :
                high = mid - 1
            else:
                low  = mid + 1

        od[p-1].insert(low,y)

    else:
        od[p-1].append(y)

#print ("sort: " + str(time.time() - s) )

#s = time.time()
for i in range(0,m):
    r = od[py[i][0]-1].index(py[i][1])

    tmp = py[i][0]
    digit = 0
    while tmp > 0 :        
        digit += 1
        tmp = tmp // 10
    
    for j in range(6-digit):
        print('0',end="")
    print(py[i][0],end="")

    tmp = r + 1
    digit = 0
    while tmp > 0 :        
        digit += 1
        tmp = r // 10

    for j in range(6-digit):
        print('0',end="")
    print(r+1)

#print ("index: " + str(time.time() - s) )

### FIXED CODE ###

import sys as sys

lines =  input().split()
n = int(lines[0])
m = int(lines[1])

py = []
od = {}

#lines = sys.stdin.readlines()

for i in range(0,m):


    #l =  lines[i].split()
    l = input().split()
    p = int(l[0])
    y = int(l[1])
    
    if p in od :
        od[p].append([i,y])
    else:
        od[p] = [[i,y]]

a = []
for p in od.keys():
    od[p].sort(key=lambda x:x[1])
    r = 1

    for o in od[p]:
        cs = ""

        tmp = p
        digit = 0
        while tmp > 0 :        
            digit += 1
            tmp = tmp // 10
        
        l = 6-digit
        for j in range(l):
            cs += '0'
        cs += str(p)

        tmp = r 
        digit = 0
        while tmp > 0 :        
            digit += 1
            tmp = tmp // 10

        l = 6-digit
        for j in range(l):
            cs += '0'
        cs += str(r)        

        a.append([o[0],cs])
        r += 1

a.sort(key=lambda x:x[0])
for aa in a:
    print(aa[1])
### BUGGY CODE ###

import copy
n=int(input())
a=[]
for i in range(n):
  a.append(int(input()))
ma =max(a)
for i in range(n):
  if a[i]==ma:
    b=copy.deepcopy(a)
    del b[i]
    print(max(b))
  else:
    print(ma)

### FIXED CODE ###

import copy
n=int(input())
a=[]
for i in range(n):
  a.append(int(input()))
ma =max(a)
cn =0
for i in range(n):
  if a[i]==ma and cn<2:
    b=copy.deepcopy(a)
    del b[i]
    print(max(b))
    cn +=1
  else:
    print(ma)
### BUGGY CODE ###

MOD = 998244353
N,M,K = [int(hoge) for hoge in input().split()]
NcK = []
POWER = []
cur = 1#Nc0
for k in range(K+1):
    NcK.append(cur % MOD)
    cur *= (N-1-k)
    if k==K:break
    cur //= (k+1)    
curpower = 1
for n in range(N):#M-1 ** n
   POWER.append(curpower)
   curpower *= M-1
   curpower %= MOD

ans = 0

for k in range(K+1):
    ans += M * POWER[N-1-k] * NcK[k]
    #M-1 ** N-1-k ということは…？
    ans %= MOD
print(ans)

### FIXED CODE ###

#互いに素なa,bについて、a*x+b*y=1の一つの解
def extgcd(a,b):
    r = [1,0,a]
    w = [0,1,b]
    while w[2]!=1:
        q = r[2]//w[2]
        r2 = w
        w2 = [r[0]-q*w[0],r[1]-q*w[1],r[2]-q*w[2]]
        r = r2
        w = w2
    #[x,y]
    return [w[0],w[1]]

# aの逆元(mod m)を求める。(aとmは互いに素であることが前提)
def mod_inv(a,m):
    x = extgcd(a,m)[0]
    return (m+x%m)%m

import math
MOD = 998244353
N,M,K = [int(hoge) for hoge in input().split()]
NcK = []
POWER = []
cur = 1#Nc0
for k in range(K+1):
    NcK.append(cur)
    cur *= (N-1-k)* mod_inv(k+1,MOD)
    cur %= MOD    

ans = 0
Power = 1
for k in range(N-1-K):#M-1**n-1-K
    Power *= M-1
    Power %= MOD

for k in range(K,-1,-1):
    ans += Power * NcK[k]
        #M-1 ** N-1-k ということは…？
    if k:
        Power *= M-1
        Power %= MOD
    

print((M*ans)%MOD)
### BUGGY CODE ###

S=input()
Q=int(input())
list=[]
mojiretu=[z for z in S]
for a in range(Q):
    b=input().split()
    list.append(b)
for z in range(len(list)-1):
    if list[z]==list[z+1]=='1':
        list.replace(list[z],' ')
        list.replace(list[z+1],' ')
        z+=1
nlist=[x for x in list if x]
for c in nlist:
    if len(c)==1:
        mojiretu.reverse()
    else:
        if c[1]=='1':
            mojiretu.insert(0,c[2])
        else:
            mojiretu.append(c[2])
print(''.join(mojiretu))


### FIXED CODE ###

from collections import deque
S=input()
Q=int(input())
words=[]
for a in range(Q):
    A=input().split()
    words.append(A)
T=[a for a in S]
answers=deque(T)
number=0
for a in words:
    if a[0]=='1':
        number+=1
    else:
        if number%2==0:
            if a[1]=='1':
                answers.appendleft(a[2])
            else:
                answers.append(a[2])
        else:
            if a[1]=='1':
                answers.append(a[2])
            else:
                answers.appendleft(a[2])
if number%2==0:
    kotae=list(answers)
    moji=''
    for a in kotae:
        moji+=a
    print(moji)
else:
    kotae = list(answers)
    kotae.reverse()
    moji = ''
    for a in kotae:
        moji += a
    print(moji)
### BUGGY CODE ###

import numpy as np
N = int(input())
l = []
for i in range(N):
  l.append(list(map(int, input().split())))
  
ans = 0
for i in range(N-1):
  for j in range(i+1, N):
    a, b = np.array(l[i]), np.array(l[j])
    n = int(np.linalg.norm(a-b, ord=1))
    ans = max(ans, n)
print(ans)

### FIXED CODE ###

N = int(input())
L1, L2 = [], []
for i in range(N):
  l = list(map(int, input().split()))
  L1.append(l[0]-l[1])
  L2.append(l[0]+l[1])
  
ans = max(max(L1)-min(L1), max(L2)-min(L2))
print(ans)
### BUGGY CODE ###

import sys
sys.setrecursionlimit(10 ** 6)
N, M = map(int, input().split())
G = [[] for i in range(N)]
for i in range(M):
    l, r, d = map(int, input().split())
    l, r = l - 1, r - 1
    G[l].append((r, d))
    G[r].append((l, -d))

R = [None] * N


def dfs(u):
    global R, G
    for w, d in G[u]:
        if not R[w]:
            R[w] = R[u] + d
            if not dfs(w):
                return False
        else:
            if R[w] != R[u] + d:
                return False
    return True


for i in range(N):
    if not R[i]:
        R[i] = 0
        if not dfs(i):
            print('No')
            exit()

print('Yes')


### FIXED CODE ###

import sys
sys.setrecursionlimit(10 ** 6)
N, M = map(int, sys.stdin.readline().split())
G = [[] for i in range(N)]
for i in range(M):
    l, r, q = map(int, sys.stdin.readline().split())
    G[l - 1].append((r - 1, q))
    G[r - 1].append((l - 1, -q))

R = [None] * N


def dfs(u):
    global R, G
    for w, d in G[u]:
        if R[w] is None:
            R[w] = R[u] + d
            if not dfs(w):
                return False
        else:
            if R[w] != R[u] + d:
                return False
    return True


flag = True
for i in range(N):
    if R[i] is None:
        R[i] = 0
        flag &= dfs(i)

if flag:
    print("Yes")
else:
    print("No")
### BUGGY CODE ###

L, A, B, M = map(int, input().split())

ten = 1

def f(l):
  if l == 0:
    return 0
  if l % 2 == 1:
    pl = l - 1
    x = f(pl)
    return (x * (ten % M) + 1) % M
  else:
    pl = l // 2
    x = f(pl)
    return (x * (ten % M) ** pl + x) % M

def g(l):
  if l == 0:
    return 0
  if l % 2 == 1:
    pl = l - 1
    x = g(pl)
    return (x * (ten % M) + B * (pl % M)) % M
  else:
    pl = l // 2
    x = g(pl)
    return (x * (ten % M) ** pl + x + B % M * (pl % M) % M * f(pl)) % M

last = A + B * (L - 1)
ans = 0

for i in range(1, 19):
  l = ten
  r = ten * 10 - 1
  
  if last < l:
    ten *= 10
    continue
  if A > r:
    ten *= 10
    continue
  na = 0 #初項
  nl = 0 #長さ

  if A >= l:
    na = A
  else:
    na = (l - A + B - 1) // B * B + A
    na = min(na, last)
  
  nlast = 0
  if last <= r:
    nlast = last
  else:
    nlast = (r - A) // B * B + A
  nl = (nlast - na) // B + 1

  ten *= 10
  ans *= (ten % M) ** nl % M
  ans += (na % M * f(nl) % M) % M
  ans += g(nl) % M

print(ans % M)

### FIXED CODE ###

L, A, B, M = map(int, input().split())

ten = 0

def pow_(x, t):
  if t == 0:
    return 1
  if t % 2 == 1:
    return (pow_(x, t - 1) * x) % M
  else:
    y = pow_(x, t // 2)
    return (y * y) % M

def f(l):
  if l == 0:
    return 0
  if l % 2 == 1:
    pl = l - 1
    x = f(pl)
    return x * ten + 1
  else:
    pl = l // 2
    x = f(pl)
    return x * pow_(ten, pl) + x

def g(l):
  if l == 0:
    return 0
  if l % 2 == 1:
    pl = l - 1
    x = g(pl)
    return x * ten + B * pl
  else:
    pl = l // 2
    x = g(pl)
    return x * pow_(ten, pl) + x + B * pl * f(pl)

last = A + B * (L - 1)
ans = 0
ten = 10
for _ in range(18):
  l = ten // 10
  r = ten - 1
  
  if last < l:
    ten *= 10
    continue
  if A > r:
    ten *= 10
    continue
  na = 0 #初項
  nl = 0 #長さ

  if A >= l:
    na = A
  else:
    na = (l - A + B - 1) // B * B + A
    na = min(na, last)
  
  nlast = 0
  if last <= r:
    nlast = last
  else:
    nlast = (r - A) // B * B + A
  nl = (nlast - na) // B + 1

  ans *= pow_(ten, nl) % M
  ans += (na * f(nl)) % M
  ans += g(nl) % M
  ten *= 10

print(ans % M)
### BUGGY CODE ###

x = int(input())
for i in range(2000):
  for j in range(-2000,2000):
    if i**5 - j**5 == x:
      print(i,j)
      break


### FIXED CODE ###

X = int(input())

AA = 0
BB = 0

for A in range(-121,121):
    for B in range(-121,121):
        if X == (A ** 5) - (B ** 5):
            AA = A
            BB = B

print(AA,BB)
### BUGGY CODE ###

# import numpy as np
from collections import deque

H,W=map(int,input().split())
CH,CW=map(int,input().split())
DH,DW=map(int,input().split())

S=[input() for _ in range(H)]
# 後の条件分岐を簡略化するためワープしても迷路外に出ないように壁で囲む
S = ['##{}##'.format(row) for row in S]
S.insert(0, '##{}##'.format('#' * W))
S.insert(0, '##{}##'.format('#' * W))
S.append('##{}##'.format('#' * W))
S.append('##{}##'.format('#' * W))


MAX_COST = 10 ** 9
Cost=[ [ MAX_COST for _ in range(W+4)] for _ in range(H+4)]
# Cost = np.full((H,W),MAX_COST)

# print(S)

ans = -1

cost0 = deque()

cost0.append((CH+1,CW+1,0))
Cost[CH+1][CW+1] = 0;

# used = set()
walk=[(1,0),(0,1),(-1,0),(0,-1)]
warp = [ (i,j) for i in range(-2,3) for j in range(-2,3) if (i, j) not in [(0, 0)] + walk ]
# print(warp)

cost1 = deque()

while 0 < len(cost0):
	h,w,c=cost0.popleft()
	cost1.append((h,w,c))

	for i,j in walk:
		dh = h+i
		dw = w+j
		if S[dh][dw] == '.' and c < Cost[dh][dw]:
			Cost[dh][dw] = c
			# print("updl ", i,j,dh,dw,c)
			cost0.appendleft((dh,dw,Cost[dh][dw]))

	if len(cost0) == 0:

		while 0 < len(cost1):
			h,w,c=cost1.popleft()
			# print(h,w,c)
			for i,j in warp:
				dh = h+i
				dw = w+j
				# print(i,j)
				if S[dh][dw] == '.':
					if c + 1 < Cost[dh][dw]:
						Cost[dh][dw] = c + 1
						cost0.append((dh,dw,Cost[dh][dw]))


if Cost[DH+1][DW+1] == MAX_COST:
	print(-1)
else:
	print(Cost[DH+1][DW+1])

### FIXED CODE ###

from collections import deque

H,W=map(int,input().split())
CH,CW=map(int,input().split())
DH,DW=map(int,input().split())

S=[list(input()) for _ in range(H)]
MAX_COST = 10 ** 9
Cost=[ [ MAX_COST for _ in range(W)] for _ in range(H)]

# print(S)

ans = -1

deq = deque()

deq.append((CH-1,CW-1,0))
Cost[CH-1][CW-1] = 0;

walk=[(1,0),(0,1),(-1,0),(0,-1)]

# used = set()

while 0 < len(deq):
	h,w,c=deq.popleft()
	# print(h,w,c)
	for i,j in walk:
		if 0 <= h+i and h+i < H and 0 <= w+j and w+j < W:
			if S[h+i][w+j] == '.' and c < Cost[h+i][w+j]:
				Cost[h+i][w+j] = c
				# print("updl ", i,j,h+i,w+j,c)
				deq.appendleft((h+i,w+j,Cost[h+i][w+j]))
	for i in range(-2,3,1):
		for j in range(-2,3,1):
			# print(i,j)
			if 0 <= h+i and h+i < H and 0 <= w+j and w+j < W:
				if S[h+i][w+j] == '.':
					if c + 1 < Cost[h+i][w+j]:
						Cost[h+i][w+j] = c + 1
						deq.append((h+i,w+j,Cost[h+i][w+j]))
						# print("updr ", h+i,w+j,Cost[h+i][w+j])

if Cost[DH-1][DW-1] == MAX_COST:
	print(-1)
else:
	print(Cost[DH-1][DW-1])
### BUGGY CODE ###

from functools import reduce

def main():
    # 切り捨て
    # 4 // 3
    # 切り上げ
    #-(-4 // 3)
    
    # 初期値用:十分大きい数(100億)
    # 1e10

    # 初期値用:十分小さい数(-100億)
    # -1e10
    
    # 1文字のみを読み込み
    # 入力:2
    # a = input().rstrip()
    # 変数:a='2'
    
    # スペース区切りで標準入力を配列として読み込み
    # 入力:2 4 5 7
    # a, b, c, d = (int(_) for _ in input().split())  
    # 変数:a=2 b=4 c=5 d =7
    
    # 1文字ずつ標準入力を配列として読み込み
    # 入力:2 4 5 7
    # a = list(int(_) for _ in input().split())
    # 変数:a = [2, 4, 5, 7]    

    # 1文字ずつ標準入力を配列として読み込み
    # 入力:2457
    # a = list(int(_) for _ in input())
    # 変数:a = [2, 4, 5, 7]
    T = [
        ['d','r','e','a','m'],
        ['d','r','e','a','m','e','r'],
        ['e','r','a','s','e'],
        ['e','r','a','s','e','r']
    ]
    S = list(_ for _ in input())
    S.reverse()

    for i in range(4):
        T[i].reverse()
    while len(S)>0:        
        if(S[0:len(T[0])] == T[0]):
            S = S[len(T[0]):]
        elif(S[0:len(T[1])] == T[1]):
            S = S[len(T[1]):]
        elif(S[0:len(T[2])] == T[2]):
            S = S[len(T[2]):]
        elif(S[0:len(T[3])] == T[3]):
            S = S[len(T[3]):]
        else:
            print('NO')
            break
        
    if(len(S) ==0):
        print('YES')

    
if __name__ == '__main__':
    main()


### FIXED CODE ###

from functools import reduce

def main():
    # 切り捨て
    # 4 // 3
    # 切り上げ
    #-(-4 // 3)
    
    # 初期値用:十分大きい数(100億)
    # 1e10

    # 初期値用:十分小さい数(-100億)
    # -1e10
    
    # 1文字のみを読み込み
    # 入力:2
    # a = input().rstrip()
    # 変数:a='2'
    
    # スペース区切りで標準入力を配列として読み込み
    # 入力:2 4 5 7
    # a, b, c, d = (int(_) for _ in input().split())  
    # 変数:a=2 b=4 c=5 d =7
    
    # 1文字ずつ標準入力を配列として読み込み
    # 入力:2 4 5 7
    # a = list(int(_) for _ in input().split())
    # 変数:a = [2, 4, 5, 7]    

    # 1文字ずつ標準入力を配列として読み込み
    # 入力:2457
    # a = list(int(_) for _ in input())
    # 変数:a = [2, 4, 5, 7]
    T = [
        ['d','r','e','a','m'],
        ['d','r','e','a','m','e','r'],
        ['e','r','a','s','e'],
        ['e','r','a','s','e','r']
    ]
    S = list(_ for _ in input())
    S.reverse()

    for i in range(4):
        T[i].reverse()
    while len(S)>0:
        if(S[0:len(T[0])] == T[0]):
            for i in range(len(T[0])):
                S.pop(0)
        elif(S[0:len(T[1])] == T[1]):
            for i in range(len(T[1])):
                S.pop(0)
        elif(S[0:len(T[2])] == T[2]):
            for i in range(len(T[2])):
                S.pop(0)
        elif(S[0:len(T[3])] == T[3]):
            for i in range(len(T[3])):
                S.pop(0)
        else:
            print('NO')
            break
        
    if(len(S) ==0):
        print('YES')

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

import math
import os
import sys
from collections import Counter

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

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

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


def get_factors(n):
    """
    素因数分解
    :param int n:
    :rtype: list of int
    """
    if n <= 1:
        return []

    ret = []
    while n > 2 and n % 2 == 0:
        ret.append(2)
        n //= 2
    i = 3
    while i <= math.sqrt(n):
        if n % i == 0:
            ret.append(i)
            n //= i
        else:
            i += 2
    ret.append(n)
    return ret


def ncr(n, r, mod=None):
    """
    scipy.misc.comb または scipy.special.comb と同じ
    組み合わせの数 nCr
    :param int n:
    :param int r:
    :param int mod: 3 以上の素数であること
    :rtype: int
    """
    if n < r:
        return 0

    return math.factorial(n) // math.factorial(r) // math.factorial(n - r)


factors = get_factors(M)

ans = 1
for c in Counter(factors).values():
    # N 個の箱から重複ありで c 個選ぶ
    ans = ans * ncr(N + c - 1, c) % MOD
print(ans)


### FIXED CODE ###

import math
from collections import Counter
from functools import reduce
from operator import mul


def get_factors(n):
    """
    素因数分解
    :param int n:
    :type: list of int
    """
    if n <= 1:
        return []

    ret = []
    while n > 2 and n % 2 == 0:
        ret.append(2)
        n //= 2
    i = 3
    while i <= math.sqrt(n):
        if n % i == 0:
            ret.append(i)
            n //= i
        else:
            i += 2
    ret.append(n)
    return ret


def comb(n, r):
    """
    組み合わせの数 nCr
    :param n:
    :param r:
    :return:
    """
    r = min(n - r, r)
    if r == 0:
        return 1
    return reduce(mul, range(n, n - r, -1)) // reduce(mul, range(r, 0, -1))


n, m = map(int, input().split())
MOD = 10 ** 9 + 7

# divs = sorted(get_divisors(m))
# # dp[d]: 累積積が d となる数列の数
# dp = {d: 1 for d in divs}
# for _ in range(n - 1):
#     for i in reversed(range(len(divs))):
#         div = divs[i]
#         dp[div] = sum([dp[d] for d in divs if div % d == 0]) % MOD
#     print(dp)
# print(dp)
# おそい


factors = get_factors(m)
counts = Counter(factors)
# k**v を全部かけあわせたやつが m に一致する
# print(functools.reduce(operator.mul, [k ** v for k, v in counts.items()]))

# v 個の k を n 個の数に配分する組み合わせの数
# → v + (n-1) 個のスペースへの v の置き方の組み合わせの数
ans = 1
for k, v in counts.items():
    ans *= comb(v + (n - 1), v)
    ans %= MOD
print(ans)
### BUGGY CODE ###

s = input()
K = int (input())

def sort_here(ll):
    for _ in range(len(ll)):
        for n in range(len(ll)-1):
            A, B = compare(ll[n], ll[n+1])
            ll[n] = A
            ll[n + 1] = B

    return ll


def compare(A, B):
    # このゲームにおける比較
    # 小、大の順で返す
    a = len(A)
    b = len(B)

    if a > b:
        if A[:b] == B:
            return B, A
    elif b > a:
        if B[:a] == A:
            return A, B

    for i in range(len(min(A, B))):
        if A[i] > B[i]:
            return B, A
        elif A[i] < B[i]:
            return A, B


# まずはありうるsubstringを準備
i_list = []
for i in range(1, len(s) + 1):
    # i文字数のsutringをまずは作る
    for j in range(len(s) - i + 1):
        cand = s[j:j+i]
        if cand not in i_list:
            i_list.append(s[j:j+i])

#print(i_list)

# 並び替え
i_list = sort_here(i_list)
#print(i_list)


# 出力
print(i_list[K-1])








### FIXED CODE ###

s = input()
l = len(s)
k = int(input())


def compare(a, b):
    ll = [a, b]
    ll = sorted(ll)
    return ll[0] == a


db = []
for length in range(1, k + 1):
    for start in range(l + 1 - length):
        candidate = s[start:start+length]
        if len(db) >= 5:
            if compare(candidate, db[-1]):
                if candidate not in db:
                    db.append(candidate)
                    db = sorted(db)
                    db = db[:5]
        else:
            if candidate not in db:
                db.append(candidate)
                db = sorted(db)

print(sorted(db)[k-1])