Sunday Times Teaser 2746 (2015-05-10)

puzzle.txt

5 digit combination

sum of the cubes  of the first  three digits is equal to the first three digits
sum of factorials of the latter three digits is equal to the last  three digits

run.sh

#!/bin/bash

seq -w 99999 | grep -v 0 | sed 's/./& /g' | solve.awk

solve.awk

#!/usr/bin/awk -f

BEGIN {
}

function fact(n) {
	if (n == 1) {
		return 1;
	}
	return (n * fact(n-1));
}

{
	a = $1;
	b = $2;
	c = $3;
	d = $4;
	e = $5;

	top = $1$2$3
	bot = $3$4$5

	first  = (a * a * a) + (b * b * b) + (c * c * c);
	second = fact(c) + fact(d) + fact(e);

	if ((first == top) && (second == bot)) {
		printf ("%s : %d - %d\n", $0, first, second);
	}
}

END {
}