# Square-Cube Digit Usage

## 05AB1E, ~~14~~ ~~12~~ 13 bytes

*-2 bytes thanks to @KevinCruijssen*

*+1 byte thanks to @Grimmy*

```
∞.Δ23SmJœIÅ?Z
```

Try it online!

### Explanation

```
∞.Δ - First number that...
23Sm - Power of 2 and 3 [n^2, n^3]
J - Concatenated
œ - Permutations of this number
IÅ?Z - any of these start with the number
```

By the way it's quite slow...

## Python 3, 78 bytes

```
f=lambda s,n=1:n*all(f'{n*n}{n**3}'.count(i)>=s.count(i)for i in s)or f(s,n+1)
```

Try it online!

## Python 2, ^{82 \$\cdots\$78} 77 bytes

Added 2 bytes to fix an error kindly pointed out by S.S. Anne.

Switched to Python 2 thanks to Grimmy.

Saved a byte thanks to Arnauld!!!

```
f=lambda s,i=1:i*all((`i*i`+`i**3`).count(c)/s.count(c)for c in s)or f(s,i+1)
```

Try it online!