Sum of Round Numbers (Codeforces 1352A)
Tags: Math, implementation

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.

Input: 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 $$$n$$$ ($$$1 \le n \le 10^4$$$).

Output: 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.


Sample Inputs:
5
5009
7
9876
10000
10

Sample Outputs:
2
5000 9
1
7 
4
800 70 6 9000 
1
10000 
1
10

Solution (Python):
for s in [*open(0)][1:]:
    a = [c + i * '0' for (i, c) in enumerate(s[-2::-1]) if '0' < c]
    print(len(a), *a)

Solution (Python):
def main():
    for i in [*open(0)][1:]:
        a = [c + '0' * i for (i, c) in enumerate(i[-2::-1]) if c != '0']
        print(len(a))
        print(*a)
main()

Solution (Python):
def find_round_nums(num):
    round_nums = []
    x = 10
    rem = 0
    while rem != num:
        rem = num % x
        if rem != 0:
            round_nums.append(rem)
        num = num - rem
        x *= 10
    return round_nums
nums = []
test_cases = int(input())
for i in range(test_cases):
    nums.append(int(input()))
for num in nums:
    output = find_round_nums(num)
    n = len(output)
    print(n)
    output = [str(i) for i in output]
    print(' '.join(output))