Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

What is the difference among a pointer and a reference?, A: A reference has...

A: A reference has to always refer to some object and, so, must always be initialized; pointers do not have such limits. A pointer may be reassigned to point to distinct objects wh

Multilevelinheritance inc++, develop a program read the following informati...

develop a program read the following information from the keyboard in which base class consist of employee name code and destingnation the derived class contain the data members th

Minimum shelf, At a shop of marbles, packs of marbles are prepared. Packets...

At a shop of marbles, packs of marbles are prepared. Packets are named A, B, C, D, E …….. All packets are kept in a VERTICAL SHELF in random order. Any numbers of packets with thes

Explain syntax rules for writing a destructor function, Syntax rules for wr...

Syntax rules for writing a destructor function Its name is the similar as that of the class to which it belongs, except that the first character of the name is the symbol t

Areaundercurve.c, Write a program to find the area under the curve y = f(x)...

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve betw   Solution:

What is the real function of class - to export data, What is the real funct...

What is the real function of class - to export data? No, Real purpose of a class isn't to export data. Instead, it's to provide services. Class provides a way to abstract behav

Why php is sometimes called as embedded scripting language, Why PHP is some...

Why PHP is sometimes called as embedded scripting language? PHP is a high level language that is used to allow users to write and understand it in human readable form and also

Queue - c++ program, Queue - C++ program: Write a program to show the ...

Queue - C++ program: Write a program to show the basic operations on queue. namespace stack {  const int max_size = 200;  char v(max_size);  int top=0;  void pu

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd