/**
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* otherwise agreed upon, XLOG Technologies AG makes no warranties
* regarding the provided information. XLOG Technologies AG assumes
* no liability that any problems might be solved with the information
* provided by XLOG Technologies AG.
*
* Rights & License
* All industrial property rights regarding the information - copyright
* and patent rights in particular - are the sole property of XLOG
* Technologies AG. If the company was not the originator of some
* excerpts, XLOG Technologies AG has at least obtained the right to
* reproduce, change and translate the information.
*
* Reproduction is restricted to the whole unaltered document. Reproduction
* of the information is only allowed for non-commercial uses. Selling,
* giving away or letting of the execution of the library is prohibited.
* The library can be distributed as part of your applications and libraries
* for execution provided this comment remains unchanged.
*
* Restrictions
* Only to be distributed with programs that add significant and primary
* functionality to the library. Not to be distributed with additional
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*/
:- ensure_loaded(library(util/aggregate)).
:- ensure_loaded(library(edge/silkworm)).
/**
* https://changyaochen.github.io/egg-drop-problem/
*/
% drop(+Integer, +Integer, -Integer)
:- table(drop/3).
drop(0, _, R) :- !, R = 0.
drop(_, 0, R) :- !, R = 0.
drop(F, 1, R) :- !, R = F.
drop(F, E, M) :- E > 1, F > 0,
aggregate_all(min(N), (between(1,F,K),
E2 is E-1,
F1 is K-1,
drop(F1, E2, N1),
F2 is F-K,
drop(F2, E, N2),
N is 1+max(N1,N2)), M).
% egg
egg :-
abolish_all_tables,
drop(100, 10, _).