Finding my way in the chessdevelopment- and training jungle in order to improve my rating.
Tuesday, October 30, 2007
A system for counting
One of my cheerleaders.
After 5 days stumbling in the dark finally the lightswitch turned on. I worked out all possible captures with different attackers, defenders and victims. What put me on the wrong foot is that the position of the previous post is an exception. Only when there is a queen involved, the order of access can play a role. Since a queen can stand in front of her rooks or her bishop. The other pieces cannot stand in each others way and at the same time play a role in capturing. In the following treatment I leave the situation out of a queen standing in front of her rooks or her bishop. Then a fairly simple system remains.
The most logical way of capture and recapture is to use the light pieces first before the heavier ones. To know if a sequence of capturing will give you wood:
n = #attackers m = #defenders A= Sum value of m attackers (take the lowest) B= Sum value of n enemy pieces that are involved in the trade (take the lowest) Gmax= maximum gain = value of the victim Gtheor=theoretical gain if all pieces are traded= B - A Geff= effective actual gain= MINIMUM (Gmax, Gtheor)
A few examples.
In all examples white is the attacker and to move. Example 1
n = 4 m = 4 A= 14 B= 10 Gmax= 1 Gtheor= -4 Geff= -4 thus no wood
n = 4 m = 4 A= 14 B= 12 Gmax= 1 Gtheor= -2 Geff= -2 thus no wood
n = 4 m = 2 A= 6 B= 11 Gmax= 1 Gtheor= 5 Geff= 1 thus you win the victim
Tomorrow I will try to formulate a narrative to say it in clear language. Time for a little celebration: there is no need to go through the actual sequence!