-snip-
Why are wilds useless? If you find the key for some lower range, all the wilds are actually become tames also! Because you have the key to all that wilds

EDIT: for wilds we have their x-coordinates and distance Wd. If we found the key
k, the exact distance to every wild x-coordinate will be
k + Wd, where Wd stored in hashtable together with the sign (positive or negative distance)
Because wild produced from public key, we not need in next puzzle wild from previous work because you will get incorrect collission.