As I understood more RAM does not increase the chance of winning in cuckoo cycle is it possible to adapt this algorithm to do this? to make a proof of RAM algorithm?Maybe run several times in parallel?
Cuckoo cycle performance depends on several things.
1) memory transaction speed, i.e. how many random bits you can read/write per second.
2) you need to compute a simple siphash24 hash function per memory access
3) You also need a minimum amount of memory, e.g. 512MB of SRAM and 512MB DRAM for Cuckatoo32.
You need to balance 1) and 2) so that neither bottlenecks the other.