Custom Number Base Converter The powers that be want to be able to quickly convert any number they have into their own number base using any format they would like.

Input 

Your program must accept 3 parameters.


Number: The string number to be converted
InputFormat: the base string the number is currently in
OutputFormat: the base string that the number is to be converted to.


Output

Your program must convert the Number from the old number base InputFormat to the new number base OutputFormat

Examples

("1","0123456789","9876543210") = "8"
("985724","9876543210","0123456789ABCDEF") = "37C3"
("FF","0123456789ABCDEF","0123456789") = "255"
("FF","0123456789ABCDEF","01234567") = "377"
("18457184548971248772157", "0123456789","Aa0Bb1Cc2Dd3Ee4Ff5Gg6Hh7Ii8Jj9Kk,Ll.Mm[Nn]Oo@Pp#Qq}Rr{Ss-Tt+Uu=Vv_Ww!Xx%Yy*Zz") = ",sekYFg_fdXb"


Additional

The new base 77 test is not required props if it works though


if your in a language where you have to convert to a number first and are locked within 32Bit you can skip it.
as it's an additional test.


All examples were generated by PHP 7.2 with the bcmath extension using the following code (vars mins but code formatted). there will probably be a shorter way this is just the way I came up with for the system I needed to do this with would be nice to see if anyone could come up with a shorter version though.

PHP 7.2 (bcmath - extension) 614 bytes

&lt;?php
function f($a, $b, $c)
{
    $d= str_split($b,1);
    $e= str_split($c,1);
    $f= str_split($a,1);
    $g=strlen($b);
    $h=strlen($c);
    $k=strlen($a);
    $r='';
    if ($c== '0123456789')
    {
        $r=0;
        for ($i = 1;$i &lt;= $k; $i++)
            $retval = bcadd($retval, bcmul(array_search($f[$i-1], $d),bcpow($g,$k-$i)));
        return $r;
    }
    if ($b!= '0123456789')
        $l=f($a, $b, '0123456789');
    else
        $l= $a;
    if ($l&lt;strlen($c))
        return $e[$l];
    while($l!= '0')
    {
        $r= $e[bcmod($l,$h)].$r;
        $l= bcdiv($l,$h,0);
    }
    return $r;
}


Try it Online

Scoring

This is code golf; shortest code wins. Standard loopholes apply.
MATL, 2 bytes

Za


Try it online!
All test cases.

For the Za lord!