Racket Solution
Code\nracket\n(define (vector-sum vec count)\n    (for/sum ([i vec][j (in-range count)]) i))\n\n(define/contract (maximum-value-sum nums k edges)\n  (-> (listof
# Code\n```racket\n(define (vector-sum vec count)\n    (for/sum ([i vec][j (in-range count)]) i))\n\n(define/contract (maximum-value-sum nums k edges)\n  (-> (listof exact-integer?) exact-integer? (listof (listof exact-integer?)) exact-integer?)\n    (define change (vector-sort (list->vector (map (\u03BB (i) (- (bitwise-xor k i) i)) nums)) >))\n    (define count (for/sum ([i change] #:when (positive? i)) 1))\n    (define s (+ (apply + nums) (vector-sum change count)))\n    (cond\n        [(even? count) s]\n        [(odd? count)\n            (let ([tmp (- s (vector-ref change (sub1 count)))]) \n            (if (< (add1 count) (vector-length change)) \n                (max tmp (+ s (vector-ref change count))) \n                tmp))]))\n```
['Racket']