tag:blogger.com,1999:blog-38193052.post2409873283081787528..comments2024-03-20T08:57:17.447-03:00Comments on Jornalheiros: Duas DamasPC Filhohttp://www.blogger.com/profile/16547063456626761789noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-38193052.post-81713347681072128392016-06-08T14:28:26.084-03:002016-06-08T14:28:26.084-03:00Now it's fine. :)
Using your initial calculat...Now it's fine. :)<br /><br />Using your initial calculations: 2640 - 64 = 2576PC Filhohttps://www.blogger.com/profile/16547063456626761789noreply@blogger.comtag:blogger.com,1999:blog-38193052.post-72395699110077688332016-06-08T09:23:14.681-03:002016-06-08T09:23:14.681-03:00I see it now. I forgot to rule out the square the ...I see it now. I forgot to rule out the square the queen's standing on as a possibility for the black queen!<br /><br />So, the number of possible positions is actually 28*42+20*40+12*38+4*36 = 1176+800+456+144 = 2400+160+16 = 2576.jrh150482https://www.blogger.com/profile/10502831081969372299noreply@blogger.comtag:blogger.com,1999:blog-38193052.post-21312084193533037022016-06-07T14:09:26.761-03:002016-06-07T14:09:26.761-03:00The solving method is awesome, but you made a litt...The solving method is awesome, but you made a little mistake in the counting...PC Filhohttps://www.blogger.com/profile/16547063456626761789noreply@blogger.comtag:blogger.com,1999:blog-38193052.post-61083467650612205382016-06-07T13:33:55.421-03:002016-06-07T13:33:55.421-03:00I'll start by defining the following terms:
R...I'll start by defining the following terms:<br /><br />Ring 1: The squares along the outer edges of the board (28 squares)<br />Ring 2: The squares just inside Ring 1 (20 squares)<br />Ring 3: The squares just inside Ring 2 (12 squares)<br />Center: The four center squares<br /><br />Case 1: White queen on Ring 1 - controls 21 squares, so there are 43 possibilities for the black queen's placement<br />Case 2: White queen on Ring 2 - controls 23 squares, 41 possibilities for the black queen's placement<br />Case 3: White queen on Ring 3 - controls 25 squares, 39 possibilities for the black queen's placement<br />Case 4: White queen in the center - controls 27 squares, 37 possibilities for the black queen's placement<br /><br />So the total number of possible positions is 28*43+20*41+12*39+4*37 = 1204+820+468+148 = 2500+120+20 = 2640. (If the queens were the same color, there would only be half as many, or 1320, possible positions.)jrh150482https://www.blogger.com/profile/10502831081969372299noreply@blogger.com