(define n (string->number (read-line))) (define w (map string->number (string-split (read-line) " "))) (define dp (make-vector 11000 0)) (define (check n w a) (unless (zero? n) (letrec* ((s (+ a (car w))) (check-1 (lambda (i) (unless (negative? i) (begin (when (= (vector-ref dp i) 1) (vector-set! dp (+ i (car w)) 1)) (check-1 (- i 1))))))) (check-1 10000) (check (- n 1) (cdr w) s)))) (let1 sum (fold + 0 w) (print (cond ((= (modulo sum 2) 1) "impossible") (else (vector-set! dp 0 1) (check n w 0) (if (zero? (vector-ref dp (/ sum 2))) "impossible" "possible")))))