Codeforces 538 B. Quasi Binary

B. Quasi Binary

 

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

A number is called quasibinary if its decimal representation contains only digits 0 or 1. For example, numbers 0, 1, 101, 110011 — are quasibinary and numbers 2, 12, 900 are not.

You are given a positive integer n. Represent it as a sum of minimum number of quasibinary numbers.

Input

The first line contains a single integer n (1 ≤ n ≤ 10⁶).

Output

In the first line print a single integer k — the minimum number of numbers in the representation of number n as a sum of quasibinary numbers.

In the second line print k numbers — the elements of the sum. All these numbers should be quasibinary according to the definition above, their sum should equal n. Do not have to print the leading zeroes in the numbers. The order of numbers doesn't matter. If there are multiple possible representations, you are allowed to print any of them.

Examples

Input

9

Output

9
1 1 1 1 1 1 1 1 1 

Input

32

Output

3
10 11 11 

题意就是把一个数用0，1组成的数来代替，让这些数的和为这个数。

代码:

#include<bits/stdc++.h>
using namespace std;
int a,b,i,m,t=1,g[10];
int main(){
    cin>>a;
    while(a){
        b=a%10;
        for(i=9;i>9-b;i--)
            g[i]+=t;
        if(b>m) m=b;
        t*=10;
        a/=10;
    }
    cout<<m<<endl;
    for(i=0;i<10;i++){
        if(g[i])
            cout<<g[i]<<" ";
    }
    return 0;
}