Create the numbers from 1 to 20
Using
- $\pi$
- Normal arithmetic operation $+ - * /$
- Square root $\surd$
- Exponential $(X^Y)$
- Negative() minus sign $-$
- Floor() function, express between $[ x ]$
$[ 3.0 ]$ and $[ 3.9 ] = 3$
$[-3.1 ]$ and $[-3.9 ] = -4$
- Factorial
- Log
- More than four $\pi$
Doing the 20 numbers takes time but is easy.
Now the challenge is to create all 20 numbers using the minimal number of $\pi$.
For example:
1 = $\pi$ /$\pi$ use two $\pi$
1 = [ $\surd\pi$ ] only need one $\pi$2 = $[ \surd\pi ] + [ \surd\pi ]$ use two $\pi$
2 = $-[ - \surd\pi ]$ use one $\pi$
I give you an initial target of 50 $\pi$ for all 20 numbers. But I know can be lower.