CF1352A.Sum of Round Numbers

A positive (strictly greater than zero) integer is called round if it is of the form d00...0. In other words, a positive integer is round if all its digits except the leftmost (most significant) are equal to zero. In particular, all numbers from $1$ to $9$ (inclusive) are round.

For example, the following numbers are round: $4000$, $1$, $9$, $800$, $90$. The following numbers are not round: $110$, $707$, $222$, $1001$.

You are given a positive integer $n$ ($1 \le n \le 10^4$). Represent the number $n$ as a sum of round numbers using the minimum number of summands (addends). In other words, you need to represent the given number $n$ as a sum of the least number of terms, each of which is a round number.

一个正整数（严格大于零）被称为“整十数”（round），如果它具有形式 $d00\ldots0$。换言之，一个正整数是整十数，当且仅当它的所有数字中，除最左边（即最高位）的数字外，其余数字均为零。特别地，所有从 $1$ 到 $9$（含）的数字都是整十数。

例如，以下数字是整十数：$4000$、$1$、$9$、$800$、$90$；以下数字不是整十数：$110$、$707$、$222$、$1001$。

给定一个正整数 $n$（$1 \le n \le 10^4$）。请将 $n$ 表示为若干个整十数之和，且所用加数（summands）的个数最少。换言之，你需要将给定的数 $n$ 表示为尽可能少的项之和，其中每一项均为整十数。

The first line contains an integer $t$ ($1 \le t \le 10^4$) — the number of test cases in the input. Then $t$ test cases follow.

Each test case is a line containing an integer $n$ ($1 \le n \le 10^4$).

第一行包含一个整数 $t$（$1 \le t \le 10^4$）—— 表示输入中测试用例的数量。随后是 $t$ 个测试用例。

每个测试用例为一行，包含一个整数 $n$（$1 \le n \le 10^4$）。

Print $t$ answers to the test cases. Each answer must begin with an integer $k$ — the minimum number of summands. Next, $k$ terms must follow, each of which is a round number, and their sum is $n$. The terms can be printed in any order. If there are several answers, print any of them.

输出 $t$ 个测试用例的答案。每个答案必须以一个整数 $k$ 开头——即最少的加数个数。接下来依次输出 $k$ 个“整数”，每个均为“整数”，且它们的和为 $n$。“整数”可以按任意顺序输出。若存在多个合法答案，输出任意一个即可。