module Input;

open import Prelude;

odd : Nat → Bool;

even : Nat → Bool;

odd zero ≔ false;
odd (suc n) ≔ even n;

even zero ≔ true;
even (suc n) ≔ odd n;

check : (Nat → Bool) → Int → String;
check f x ≔ (boolToStr (f (intToNat x)));

checkEven : Int → String;
checkEven ≔ check even;

checkOdd : Int → String;
checkOdd ≔ check odd;

main : Action;
main ≔ put-str "even 1: " >> put-str-ln (checkEven 1)
        >> put-str "even 4: " >> put-str-ln (checkEven 4)
        >> put-str "even 9: " >> put-str-ln (checkEven 9)
        >> put-str "odd 1: " >> put-str-ln (checkOdd 1)
        >> put-str "odd 4: " >> put-str-ln (checkOdd 4)
        >> put-str "odd 9: " >> put-str-ln (checkOdd 9)

end;