Problem: Vasya the Great Magician and Conjurer loves all kinds of miracles and wizardry. In one wave of a magic wand he can turn an object into something else. But, as you all know, there is no better magic in the Universe than the magic of numbers. That's why Vasya adores math and spends a lot of time turning some numbers into some other ones.

This morning he has n cards with integers lined up in front of him. Each integer is not less than 1, but not greater than l. When Vasya waves his magic wand, two rightmost cards vanish from the line and a new card magically appears in their place. It contains the difference between the left and the right numbers on the two vanished cards. Vasya was very interested to know what would happen next, and so he waved with his magic wand on and on, until the table had a single card left.

Suppose that Vasya originally had the following cards: 4, 1, 1, 3 (listed from left to right). Then after the first wave the line would be: 4, 1, -2, and after the second one: 4, 3, and after the third one the table would have a single card with number 1.

Please note that in spite of the fact that initially all the numbers on the cards were not less than 1 and not greater than l, the numbers on the appearing cards can be anything, no restrictions are imposed on them.

It is now evening. Vasya is very tired and wants to return everything back, but does not remember which cards he had in the morning. He only remembers that there were n cards, they contained integers from 1 to l, and after all magical actions he was left with a single card containing number d.

Help Vasya to recover the initial set of cards with numbers.

Input

The single line contains three space-separated integers: n (2 ≤ n ≤ 100) — the initial number of cards on the table, d (|d| ≤ 104) — the number on the card that was left on the table after all the magical actions, and l (1 ≤ l ≤ 100) — the limits for the initial integers.

Output

If Vasya is mistaken, that is, if there doesn't exist a set that meets the requirements given in the statement, then print a single number -1, otherwise print the sought set containing n integers from 1 to l. Separate the integers by spaces. Print the integers in the order, in which they were written on the cards from left to right. If there are several suitable sets of numbers, you can print any of them.

Examples

Input

3 3 2


Output

2 1 2 

Input

5 -4 3


Output

-1


Input

5 -4 4


Output

2 4 1 4 1 

Solution (in PYTHON3):

Solution:
#!/usr/bin/env python
from __future__ import division, print_function
import math
import os
import sys
from sys import stdin,stdout
from io import BytesIO, IOBase
from itertools import accumulate
from collections import deque
#sys.setrecursionlimit(10**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 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
#print(perfect_square(16))
#endregion-------------------------------------------

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

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
#endregio------------------------------
"""
def main():
    t = int(input())
    for _ in range(t):
        n,m = map(int,input().split())
        l=[]
        ans=[]
        p=[]
        for i in range(m):
            arr = list(map(int,input().split()))
            arr.pop(0)
            p.append(arr)
            for j in arr:
                l.append(j)
        f = (m+1)//2
        #print(p)
        l = sorted(l)
        sett = set(l)
        sett = list(sett)
        #print(sett)
        for i in sett:
            if l.count(i)<=f:
                ans+=[i]*l.count(i)
            else:
                ans+=[i]*(f)
        print(ans)
        if len(ans)>=n:
            print("YES")
            for i in range(m):
                for j in range(len(p[i])):
                    if p[i][j] in ans:
                        print(p[i][j],end=" ")
                        ans.remove(p[i][j])
                        break
            print()
        else:
            print("NO")
if __name__ == '__main__':
    main()
"""
"""
def main():
    for _ in range(int(input())):
        n=int(input())
        arr = list(map(int,input().split()))
        d = max(arr)
        ans=0
        if arr==sorted(arr):
            print(0)
            continue
       # ind1 = arr.index(d)
        for i in range(n-1):
            if arr[i]>arr[i+1]:
                ans+=(arr[i]-arr[i+1])
        print(ans)
if __name__ == '__main__':
    main()
"""
def main():
    n,d,l = map(int,input().split())
    ans=[]
    c=0
    for i in range(n-1):
        if d>0:
            c=l
        else:
            c=1
        ans.append(c)
        d = c-d
    ans.append(d)
   # print(ans)
    for i in ans:
        if i<1 or i>l:
            print(-1)
            break
    else:
        print(*ans)
if __name__ == '__main__':
    main()