Problem: It's holiday. Mashmokh and his boss, Bimokh, are playing a game invented by Mashmokh. 

In this game Mashmokh writes sequence of n distinct integers on the board. Then Bimokh makes several (possibly zero) moves. On the first move he removes the first and the second integer from from the board, on the second move he removes the first and the second integer of the remaining sequence from the board, and so on. Bimokh stops when the board contains less than two numbers. When Bimokh removes numbers x and y from the board, he gets gcd(x, y) points. At the beginning of the game Bimokh has zero points.

Mashmokh wants to win in the game. For this reason he wants his boss to get exactly k points in total. But the guy doesn't know how choose the initial sequence in the right way. 

Please, help him. Find n distinct integers a1, a2, ..., an such that his boss will score exactly k points. Also Mashmokh can't memorize too huge numbers. Therefore each of these integers must be at most 109.

Input

The first line of input contains two space-separated integers n, k (1 ≤ n ≤ 105; 0 ≤ k ≤ 108).

Output

If such sequence doesn't exist output -1 otherwise output n distinct space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 109).

Examples

Input

5 2


Output

1 2 3 4 5


Input

5 3

Output

2 4 3 7 1

Input

7 2


Output

-1

Note

gcd(x, y) is greatest common divisor of x and y.

Solution (in PYTHON3):

Solution:
#!/usr/bin/env python
from __future__ import division, print_function
import math
import os
import sys
from fractions import *
from sys import *
from io import BytesIO, IOBase
from itertools import *
from collections import *

# sys.setrecursionlimit(10**5)
M = 10 ** 9 + 7

# print(math.factorial(5))
if sys.version_info[0] < 3:
    from __builtin__ import xrange as range
    from future_builtins import ascii, filter, hex, map, oct, zip
# sys.setrecursionlimit(10**6)

# region fastio

BUFSIZE = 8192


class FastIO(IOBase):
    newlines = 0

    def __init__(self, file):
        self._fd = file.fileno()
        self.buffer = BytesIO()
        self.writable = "x" in file.mode or "r" not in file.mode
        self.write = self.buffer.write if self.writable else None

    def read(self):
        while True:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            if not b:
                break
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines = 0
        return self.buffer.read()

    def readline(self):
        while self.newlines == 0:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            self.newlines = b.count(b"\n") + (not b)
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines -= 1
        return self.buffer.readline()

    def flush(self):
        if self.writable:
            os.write(self._fd, self.buffer.getvalue())
            self.buffer.truncate(0), self.buffer.seek(0)


class IOWrapper(IOBase):
    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        self.write = lambda s: self.buffer.write(s.encode("ascii"))
        self.read = lambda: self.buffer.read().decode("ascii")
        self.readline = lambda: self.buffer.readline().decode("ascii")


def print(*args, **kwargs):
    """Prints the values to a stream, or to sys.stdout by default."""
    sep, file = kwargs.pop("sep", " "), kwargs.pop("file", sys.stdout)
    at_start = True
    for x in args:
        if not at_start:
            file.write(sep)
        file.write(str(x))
        at_start = False
    file.write(kwargs.pop("end", "\n"))
    if kwargs.pop("flush", False):
        file.flush()


if sys.version_info[0] < 3:
    sys.stdin, sys.stdout = FastIO(sys.stdin), FastIO(sys.stdout)
else:
    sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)

input = lambda: sys.stdin.readline().rstrip("\r\n")


def inp(): return sys.stdin.readline().rstrip("\r\n")  # for fast input


def out(var): sys.stdout.write(str(var))  # for fast output, always take string


def lis(): return list(map(int, inp().split()))


def stringlis(): return list(map(str, inp().split()))


def sep(): return map(int, inp().split())


def strsep(): return map(str, inp().split())


def fsep(): return map(float, inp().split())


def inpu(): return int(inp())


# -----------------------------------------------------------------

def regularbracket(t):
    p = 0
    for i in t:
        if i == "(":
            p += 1
        else:
            p -= 1
        if p < 0:
            return False
    else:
        if p > 0:
            return False
        else:
            return True


# -------------------------------------------------
def binarySearchCount(arr, n, key):
    left = 0
    right = n - 1

    count = 0

    while (left <= right):
        mid = int((right + left) / 2)

        # Check if middle element is
        # less than or equal to key
        if (arr[mid] <= key):
            count = mid + 1
            left = mid + 1
        # If key is smaller, ignore right half
        else:
            right = mid - 1
    return count


# ------------------------------reverse string(pallindrome)
def reverse1(string):
    pp = ""
    for i in string[::-1]:
        pp += i
    if pp == string:
        return True
    return False


# --------------------------------reverse list(paindrome)
def reverse2(list1):
    l = []
    for i in list1[::-1]:
        l.append(i)
    if l == list1:
        return True
    return False


def mex(list1):
    # list1 = sorted(list1)
    p = max(list1) + 1
    for i in range(len(list1)):
        if list1[i] != i:
            p = i
            break
    return p


def sumofdigits(n):
    n = str(n)
    s1 = 0
    for i in n:
        s1 += int(i)
    return s1


def perfect_square(n):
    s = math.sqrt(n)
    if s == int(s):
        return True
    return False


# -----------------------------roman
def roman_number(x):
    if x > 15999:
        return
    value = [5000, 4000, 1000, 900, 500, 400, 100, 90, 50, 40, 10, 9, 5, 4, 1]
    symbol = ["F", "MF", "M", "CM", "D", "CD", "C", "XC", "L", "XL", "X", "IX", "V", "IV", "I"]
    roman = ""
    i = 0
    while x > 0:
        div = x // value[i]
        x = x % value[i]
        while div:
            roman += symbol[i]
            div -= 1
        i += 1
    return roman


def soretd(s):
    for i in range(1, len(s)):
        if s[i - 1] > s[i]:
            return False
    return True


# print(soretd("1"))
# ---------------------------
def countRhombi(h, w):
    ct = 0
    for i in range(2, h + 1, 2):
        for j in range(2, w + 1, 2):
            ct += (h - i + 1) * (w - j + 1)
    return ct


def countrhombi2(h, w):
    return ((h * h) // 4) * ((w * w) // 4)


# ---------------------------------
def binpow(a, b):
    if b == 0:
        return 1
    else:
        res = binpow(a, b // 2)
    if b % 2 != 0:
        return res * res * a
    else:
        return res * res


# -------------------------------------------------------
def binpowmodulus(a, b, m):
    a %= m
    res = 1
    while (b > 0):
        if (b & 1):
            res = res * a % m
        a = a * a % m
        b >>= 1
    return res


# -------------------------------------------------------------
def coprime_to_n(n):
    result = n
    i = 2
    while (i * i <= n):
        if (n % i == 0):
            while (n % i == 0):
                n //= i
            result -= result // i
        i += 1
    if (n > 1):
        result -= result // n
    return result


# -------------------prime
def prime(x):
    if x == 1:
        return False
    else:
        for i in range(2, int(math.sqrt(x)) + 1):
            # print(x)
            if (x % i == 0):
                return False
        else:
            return True


def luckynumwithequalnumberoffourandseven(x, n, a):
    if x >= n and str(x).count("4") == str(x).count("7"):
        a.append(x)
    else:
        if x < 1e12:
            luckynumwithequalnumberoffourandseven(x * 10 + 4, n, a)
            luckynumwithequalnumberoffourandseven(x * 10 + 7, n, a)
    return a


def luckynuber(x, n, a):
    p = set(str(x))
    if len(p) <= 2:
        a.append(x)
    if x < n:
        luckynuber(x + 1, n, a)
    return a


# ------------------------------------------------------interactive problems

def interact(type, x):
    if type == "r":
        inp = input()
        return inp.strip()
    else:
        print(x, flush=True)


# ------------------------------------------------------------------zero at end of factorial of a number
def findTrailingZeros(n):
    # Initialize result
    count = 0

    # Keep dividing n by
    # 5 & update Count
    while (n >= 5):
        n //= 5
        count += n

    return count


# -----------------------------------------------merge sort
# Python program for implementation of MergeSort
def mergeSort(arr):
    if len(arr) > 1:

        # Finding the mid of the array
        mid = len(arr) // 2

        # Dividing the array elements
        L = arr[:mid]

        # into 2 halves
        R = arr[mid:]

        # Sorting the first half
        mergeSort(L)

        # Sorting the second half
        mergeSort(R)

        i = j = k = 0

        # Copy data to temp arrays L[] and R[]
        while i < len(L) and j < len(R):
            if L[i] < R[j]:
                arr[k] = L[i]
                i += 1
            else:
                arr[k] = R[j]
                j += 1
            k += 1

        # Checking if any element was left
        while i < len(L):
            arr[k] = L[i]
            i += 1
            k += 1

        while j < len(R):
            arr[k] = R[j]
            j += 1
            k += 1


# -----------------------------------------------lucky number with two lucky any digits
res = set()


def solven(p, l, a, b, n):  # given number
    if p > n or l > 10:
        return
    if p > 0:
        res.add(p)
    solven(p * 10 + a, l + 1, a, b, n)
    solven(p * 10 + b, l + 1, a, b, n)


# problem
"""
n = int(input())
for a in range(0, 10):
    for b in range(0, a):
        solve(0, 0)
print(len(res))
"""


# Python3 program to find all subsets
# by backtracking.

# In the array A at every step we have two
# choices for each element either we can
# ignore the element or we can include the
# element in our subset
def subsetsUtil(A, subset, index, d):
    print(*subset)
    s = sum(subset)
    d.append(s)
    for i in range(index, len(A)):
        # include the A[i] in subset.
        subset.append(A[i])

        # move onto the next element.
        subsetsUtil(A, subset, i + 1, d)

        # exclude the A[i] from subset and
        # triggers backtracking.
        subset.pop(-1)
    return d


def subsetSums(arr, l, r, d, sum=0):
    if l > r:
        d.append(sum)
        return
    subsetSums(arr, l + 1, r, d, sum + arr[l])

    # Subset excluding arr[l]
    subsetSums(arr, l + 1, r, d, sum)
    return d


def print_factors(x):
    factors = []
    for i in range(1, x + 1):
        if x % i == 0:
            factors.append(i)
    return (factors)


# -----------------------------------------------
def calc(X, d, ans, D):
    # print(X,d)
    if len(X) == 0:
        return

    i = X.index(max(X))
    ans[D[max(X)]] = d

    Y = X[:i]
    Z = X[i + 1:]

    calc(Y, d + 1, ans, D)
    calc(Z, d + 1, ans, D)


# ---------------------------------------

def factorization(n, l):
    c = n
    if prime(n) == True:
        l.append(n)
        return l
    for i in range(2, c):
        if n == 1:
            break
        while n % i == 0:
            l.append(i)
            n = n // i
    return l


# endregion------------------------------


def good(b):
    l = []
    i = 0
    while (len(b) != 0):
        if b[i] < b[len(b) - 1 - i]:
            l.append(b[i])
            b.remove(b[i])
        else:
            l.append(b[len(b) - 1 - i])
            b.remove(b[len(b) - 1 - i])
    if l == sorted(l):
        # print(l)
        return True
    return False


# arr=[]
# print(good(arr))
def generate(st, s):
    if len(s) == 0:
        return

    # If current string is not already present.
    if s not in st:
        st.add(s)

        # Traverse current string, one by one
        # remove every character and recur.
        for i in range(len(s)):
            t = list(s).copy()
            t.remove(s[i])
            t = ''.join(t)
            generate(st, t)
    return
#=--------------------------------------------dfs another form



"""
def main():
    n,l,a = sep()
    p,f=0,0
    for i in range(n):
            t, v = map(int, input().split())
            p += (t - f) // a
            f = t + v
    print(p + (l - f) // a)
if __name__ == '__main__':
    main()
"""

"""
def main():
    t = inpu()
    for _ in range(t):
        n = int(input())
        cnt = 1
        val = n
        m = n
        for i in range(2, int(n ** (0.5)) + 1):
            ct = 0
            # print(n)
            while (n % i == 0):
                ct += 1
                n //= i
            if ct > cnt:
                cnt = ct
                val = i
        print(cnt)
        for i in range(cnt - 1):
            m //= val
            print(val, end=" ")
        print(m)


if __name__ == '__main__':
    main()
"""
"""
def main():
    t = inpu()
    for _ in range(t):
        n=inpu()
        l = []
        i = 2
        j = 2
        while (i <=n):
            l.append(i)
            j += 3
            i += j
        #print(l)
        if len(l)==0:
            print(0)
            continue
        if l[-1]==n:
            print(1)
        else:
            cnt=0
            l.reverse()
            for i in range(len(l)):
                while(l[i]<=n):
                    #print(l[i],end=" ")
                    cnt+=1
                    n-=l[i]
            #print()
            print(cnt)
if __name__ == '__main__':
    main()
"""
"""
#fun fact: who gave such type of hard question at C please we are in devision 2 come on guys
def main():
    n = inpu()
    s = lis()
    s = sorted(s)
    ayush = [0]*n
    for k in range(1, n):
        for i in range(n - k):
            ayush[i] = min(ayush[i + 1], ayush[i]) + s[i + k] - s[i]
    print(ayush[0])
if __name__ == '__main__':
    main()
"""
"""
def main():
    n=inpu()
    cards = lis()
    cards.sort()
    if len((cards))==1:
        print(-1)
    elif len(set(cards))==1:
        print(1)
        print(cards[0])
    elif len(cards)==2:
        p=(cards[0]+cards[1])
        if p%2==0:
            print(3)
            l = [(p//2),cards[0]-(cards[1]-cards[0]),cards[1]+(cards[1]-cards[0])]
            l.sort()
            print(*l)
        else:
            print(2)
            l = [cards[0]-(cards[1]-cards[0]),cards[1]+(cards[1]-cards[0])]
            l.sort()
            print(*l)
    else:
        d=[]
        for i in range(1, n):
            cc = cards[i] - cards[i - 1]
            d.append(cc)
        d.sort()
        if len(set(d)) == 1:
            if d[0] != 0:
                print(2)
                print(cards[0] - d[0], cards[-1] + d[0])
            else:
                print(1)
                print(cards[0])
            exit()
        if len(set(d)) > 2 or d[-1] != 2 * d[-2]:
            print(0)
        else:
            print(1)
            for i in range(1, n):
                if cards[i] - cards[i - 1] != d[0]:
                    print(cards[i - 1] + d[0])
if __name__ == '__main__':
    main()
"""
"""
def main():
    n = inpu()
    arr = lis()
    p = sorted(arr)
    #print(p)
    cnt=0
    for i in range(n):
        if arr[i]!=p[i]:
            cnt+=1
    if cnt<3:
        print("YES")
    else:
        print("NO")
if __name__ == '__main__':
    main()
"""
"""
def main():
    def dfs(x, y, visited, s):
        visited[s] = True
        #print(x[s],y[s])
        for i in range(n):
            if visited[i] == False and (x[s] == x[i] or y[s] == y[i]):
                dfs(x, y, visited, i)
    n = inpu()
    x = []
    y = []
    c = -1
    visited = [False] * n
    for _ in range(n):
        a, b = sep()
        x.append(a)
        y.append(b)
    for j in range(n):
        if visited[j] == False:
            dfs(x, y, visited, j)
            c+=1
    print(c)
if __name__ == '__main__':
    main()
"""
"""
def main():
    s = inp()
    nb,ns,nc = sep()
    pb,ps,pc = sep()
    r = inpu()
    cb = s.count("B")
    cs = s.count("S")
    cc = s.count("C")
    l,h = 0,10**13
    while l+1<h:
        x = (h + l) // 2
        #print(x)
        fx = ((max(0, cb * x - nb) * pb) + (max(0, cs * x - ns) * ps) + (max(0, cc * x - nc) * pc))
        if fx > r:
            h = x
        else:
            l = x
    print(l)
if __name__ == '__main__':
    main()
"""
"""
def main():
    n=inpu()
    if n==1:
        print(0)
        exit()
    l=[]
    for i in range(n):
        a = lis()
        l.append(a)
    cnt=0
    l.sort()
    print(l)
    a = l[0][0]
    b = l[0][1]
    for i in range(n):
            if l[i][0]>a and l[i][1]<b:
                cnt+=1
            else:
                a=l[i][0]
                b=l[i][1]
    print(cnt)
if __name__ == '__main__':
    main()
"""
#print(prime(1357477777797))
def main():
    n,k = sep()
    l=[]
    if k<n//2:
        print(-1)
        exit()
    if n==1 and k==0:
        print(1)
        exit()
    if n==1:
        print(-1)
        exit()
    for i in range(n):
        l.append(10**9-i)
    k = k-n//2+1
    l[0]=k
    l[1]=k*2
    print(*l)
if __name__ == '__main__':
    main()