d abstract) Thomas Feierl⋆ Fakult¨at f¨ur Mathematik Universit¨at Wien Nordbergstr. 15 1090 Wien, Austria Abstract. We determine the weak limit of the distribution of the random variables “height” and “range” on the set of p-watermelons without wall restriction as the number of steps tends to infinity. Additionally, we provide asymptotics for the moments of the random variable “height”.