Shusaku number

The Shusaku number represents the "distance" between a Go player and Honinbo Shusaku, measured in Go opponents.
A person's Shusaku number can be determined, as follows:
* Shusaku himself has the Shusaku number 0.
* Any other Go player has the number 1 + the smallest Shusaku number of the player's opponents (provided at least one opponent has a Shusaku number). For example, if a player has played Shusaku himself, that player would have a Shusaku number of 1.
* For all other people, the Shusaku number is undefined.
To extend the analogy to s even further, one can define Shusaku numbers of the second kind to only consider players who have defeated a lower-numbered opponent. That is, only those who have beaten Shusaku would have a Shusaku number of 1, and so forth.
 
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