Question Number 216251 by Abdullahrussell last updated on 01/Feb/25
$${Find}\:{the}\:{smallest}\:{value}\:{of}\:{the}\:{expression} \\ $$$$\:\lfloor\frac{{a}+{b}+{c}}{{d}}\rfloor+\lfloor\frac{{b}+{c}+{d}}{{a}}\rfloor+\lfloor\frac{{c}+{d}+{a}}{{b}}\rfloor+\lfloor\frac{{d}+{a}+{b}}{{c}}\rfloor \\ $$$$\:\:\left({a},{b},{c},{d}\right)\in{N} \\ $$