Problem:
Score : 300 points

Problem Statement

Given an integer N, find the base -2 representation of N.

Here, S is the base -2 representation of N when the following are all satisfied:

S is a string consisting of 0 and 1.

Unless S = 0, the initial character of S is 1.

Let S = S_k S_{k-1} ... S_0, then S_0 \times (-2)^0 + S_1 \times (-2)^1 + ... + S_k \times (-2)^k = N.

It can be proved that, for any integer M, the base -2 representation of M is uniquely determined.

Constraints

Every value in input is integer.

-10^9 \leq N \leq 10^9

Input

Input is given from Standard Input in the following format:

N

Output

Print the base -2 representation of N.

Sample Input 1

-9

Sample Output 1

1011

As (-2)^0 + (-2)^1 + (-2)^3 = 1 + (-2) + (-8) = -9, 1011 is the base -2 representation of -9.

Sample Input 2

123456789

Sample Output 2

11000101011001101110100010101

Sample Input 3

0

Sample Output 3

0

Solution in Python (3.4.3) (judge verdict: Accepted)

from collections import defaultdict
import sys,heapq,bisect,math,itertools,string,queue,datetime
sys.setrecursionlimit(10**8)
INF = float('inf')
mod = 10**9+7
eps = 10**-7
AtoZ = [chr(i) for i in range(65,65+26)]
atoz = [chr(i) for i in range(97,97+26)]

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


def Base_10_to_n(X, n):

    if (int(X/n)):
        return Base_10_to_n(int(X/n), n)+str(X%n)
    return str(X%n)

N = int(input())

if N == 0:
	print(0)
	sys.exit()

ans = []
def calc(x):
	global ans

	if x%4 == 0:
		ans.append(0)
		ans.append(0)

	elif x%4 == 1:
		ans.append(1)
		ans.append(0)
		x -= 1
	elif x%4 == 2:
		ans.append(0)
		ans.append(1)
		x += 2
	elif x%4 == 3:
		ans.append(1)
		ans.append(1)
		x += 3

	return x//4

while N !=0:
	N = calc(N)


ans.reverse()
print(int(''.join(map(str,ans))))