Nestor

This is one of the trickier solvers I have written. In order to get decent speed (especially for Double Nestor, which uses the same solver engine), I implemented logic to automatically make any "safe" moves that definitely won't lose the game if it's in a winning position, as well as excluding moves that result in some common patterns of blocked positions.

Nestor solver results,
one million deals
Rectified?Games
Won
Win
Rate %
Yes597,15959.72
No139,17213.92

Realistically, unless you spend a long time planning how to win, and/or you use the Undo button repeatedly, you can expect to win far less than my solver's win rate of 59.72%. Because the solver is super-human, I decided to create a simulator that plays similarly as an experienced human might if playing casually. It won the game 22.76% of the time, so if you win less often than that, there is room for improvement!

Nestor human simulation,
one million deals
Rectified?Games
Won
Win
Rate %
Yes227,60622.76
No73,5827.36

See the article Nestor and Double Nestor -- Rank Pair Discarding Games at Solitaire Laboratory for more discussion of Nestor.

In the process of thinking through optimations for my Nestor solver, I noticed something interesting about Nestor's mathematical properties. See my Dual-Sided Nestor article for the details.

For some games similar to Nestor, see:

Alcides
Double Nestor
Doublets
Full Parade
Heracles
Nestor's Revenge
Patient Pairs
Turkish Kerchief
Vertical
The Wish

Any comments are welcome, please send to Mark Masten at:

Last modified January 1, 2022

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