In the core of Station Q-42, scientists have created the most advanced simulator of combinatorial quantum states: the Enhanced Path Entangler (EPE). The EPE has been programmed to study quantum walks in permutation spaces. In a quantum walk, the walker evolves in a superposition of positions, following the rules of quantum mechanics.

The input to the simulator is a permutation $$$A$$$ of size $$$N$$$. Each index $$$i$$$ of the permutation has an integer $$$A_i$$$ associated with it, representing a node in a Hilbert space. We define a quantum walk that follows the increasing evolution criterion as a subsequence of indices $$$i_1 \lt i_2 \lt \ldots \lt i_M$$$ ($$$M \gt 0$$$) such that $$$A_{i_1} \lt A_{i_2} \lt \ldots \lt A_{i_M}$$$. Each node $$$i$$$ also has a quantum energy charge stored at position $$$B_i$$$ of the vector $$$B$$$.

When simulating all possible quantum walks that follow the increasing evolution criterion, the EPE collapsed the state of each path into a sum of the quantum energies of the visited nodes. Each of these sums was recorded in a vector $$$C$$$, representing all the amplitudes of valid paths collapsed into classical energy.

To organize the data, the vector $$$C$$$ was sorted in non-increasing order, but something unexpected happened: a decoherence caused the vector $$$C$$$ to get lost in the middle of the simulation. Your goal as an analyst at Station Q-42 is to reconstruct the $$$K$$$ largest values of the vector $$$C$$$, or report if $$$C$$$ does not have that element.