08-10-2009, 06:22 AM | #151 |
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Place my knight at E8.
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08-10-2009, 11:01 AM | #152 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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New grid, without the knight at E8:
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08-10-2009, 11:07 AM | #153 |
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fwiw, the odds are probably not 100% correctly calculated, but I went this route:
place 0's for rook A1 and knight C3 place 11's for bishop I6 place 59's for king place 24's for rook I7 place 23's for bishop G5 place 23's for queen place 15's for remaining squares
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08-10-2009, 11:27 AM | #154 |
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I hate to take us off on a tangent, but are we sure the numbers in the grid are right? I'm thinking mostly of I5 and G6. Shouldn't G6 be higher than I5 because of the intersection of two higher-than-average percentages? When this challenge is over, we might want to create a math discussion in a different thread.
Edit: Sorry, I started my post before you finished your last one. Last edited by BrianD : 08-10-2009 at 11:28 AM. |
08-10-2009, 11:45 AM | #155 |
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Oh, definately. The numbers are likely to be off from what they should be, but it's too much work to narrow it further without doing massive calculations.
The 11's in king's range should probably have a higher probability, with the rest of that bishop's 11's getting something like a 10 or 9. I think we can agree that each square around the pieces should be on average: 0% for rook A1 0% for knight C3 11% for bishop I6 40% for king 29% for rook I7 29% for bishop G5 25% for queen
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08-10-2009, 11:53 AM | #156 |
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For the purposes of this challenge, I like your numbers quite a bit. They may not be completely accurate, but they give us a good idea of where we should be looking. I'm more interested in the math of this challenge as an ongoing discussion as the math is interesting to me.
When it comes time for me to make my move, I'll probably move to one of the two spots that intersect with the Queen due to the slightly higher probability than the one spot that doesn't. |
08-10-2009, 11:58 AM | #157 |
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how does this sound for moves:
bishop to H7 rook to I5 king to G7 (and then up to G6 if he hit and the rook missed at I5) queen to G6 (if the king missed) and then to F7 (a 24 square) bishop to D2 and then back to E3 if he hit knight E8 no idea yet ?
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08-10-2009, 12:00 PM | #158 |
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We only get one move.
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08-10-2009, 12:00 PM | #159 |
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in that scenario, if the bishop does hit, then te king should move second, of course.
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08-10-2009, 12:01 PM | #160 |
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Hmmm, that's what I thought too. But reading back, I had the sense that a hit gets a second move?
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08-10-2009, 12:02 PM | #161 | |
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Quote:
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08-10-2009, 12:02 PM | #162 |
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08-10-2009, 12:05 PM | #163 | |
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We might need clarification, but I thought the extra turn only came if you collected a chest on the piece placement and on the one move. If you get two chests, you get an extra move. |
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08-10-2009, 12:07 PM | #164 | |
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I'm not a big fan of the bishop to H7 move. If the king is adjacent to 2 chests, and there are three higher probability spots, I don't think we should move another piece to one of the lower probability spots. I'm thinking we'd be better off moving to a spot that doesn't intersect with the king. Moving to a spot that intersects with the queen might be a stronger move. |
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08-10-2009, 12:09 PM | #165 |
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If we only get one move shouldn't my queen be the one to move because a) it is the most powerful piece on the board and b) is closest to the highest number of treasure chests on the board?
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08-10-2009, 12:49 PM | #166 |
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For the record I've got a couple very busy work days ahead of me. Will not be around much to help during the day.
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08-10-2009, 01:05 PM | #167 |
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ive been reading along... but wow, talk about confusing
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08-10-2009, 01:48 PM | #168 | |
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Each piece gets one move. Everybody places their piece once, and everybody moves their piece once. Also, don't let your thoughts go too far toward chess piece strength. When you placed your piece (if I remember the order right), you had treasures in 7 of the 32 spots you could move to. That means 21.875% of your possible moves would lead to treasure. When I placed my king, I had 2 treasures in the 8 possible spots I could move to. That means 25% of my possible moves would lead to treasure. Your 7 helps us more with piece placement than actual treasure acquisition post-move. At least it should have though we seemed to place our pieces in an unlucky manner. |
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08-10-2009, 01:52 PM | #169 | |
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I hadn't thought of that. Good point. I'm glad you guys are around to sort out the percentages because math was never my strong suit.
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08-10-2009, 01:53 PM | #170 |
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I've got one more clarification question for our host. The queen is currently at F6. Let's pretend there are treasures at F7, F8, F9 and F10. If we move the queen to F10, do we get just the one treasure that is there, or do we get all 4? I'm assuming we just get the one, but if the answer is all 4, that changes the strategy a bit.
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08-10-2009, 02:00 PM | #171 | |
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Quote:
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08-10-2009, 05:41 PM | #172 |
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OK, sorry I've been at a stupid conference all day today.
1) sorry for the horribly mangled post. That should've read "it is possible to capture two treasures with one piece (meaning the placing on the board captures one and the single allowed move captures one). In that case, that piece can move one more time (there is more to this, but only to be revealed if it happens). 2) You only capture a treasure if you land on a treasure spot, not pass through one. I just skimmed quickly since I just got home, I'll go back and see if there's anything else I need to clarify, then make the final placement move. |
08-10-2009, 05:45 PM | #173 |
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I think that covers all of my questions. Both answers seemed very logical, but I figured it was worth asking. Thanks.
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08-10-2009, 05:55 PM | #174 |
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Unfortunately, you have succeeded in placing all 8 pieces without finding a treasure. Let's see if you can now dupilcate your feat by moving all 8 pieces without finding one. Two things are now off the table: 1) MIJB#19's piece has no possible move to capture a treasure. It is therefore not necessary (nor advisable since some moves may block access to other squares for other pieces) for this piece to be moved in the moving round. 2) The only available exemption is off the table for this mission. To gain an exemption, a player would have had to be the first player to land on two treasure spaces with their piece and then accept the exemption (with the other option being unlimited extra moves until an empty square was landed on). *what is an exemption? Exemptions are the spice of the game. Gaining a coveted exemption makes you invincible for one quiz/execution. In fact, you do not even have to take the quiz since you cannot be eliminated at the following execution. Exemptions pop-up from time to time, and you never know quite how to get one until it is offered or awarded to you. |
08-10-2009, 07:36 PM | #175 |
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Here is the order of placement:
R A1 Q F6 K H6 Kn C3 B G5 R I7 B I6 Kn E8 The Rook at A1 can go anywhere and not affect anything. The Knight at C3 can go anywhere without affecting anything. Any move will free B2 which "could" have treasure. The Knight at E8 is in great position. 3/7 spots will give a treasure. The Bishop at G5 is in an even better spot with 3/6 spots giving treasure (C1 not counted). Not sure what to say about the rest of our pieces. Anybody else have a thought? |
08-11-2009, 06:54 AM | #176 |
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This is like a really complicated game of Minesweeper.
The only thing I think we can guarantee is at least one treasure... if we were to do these moves: I7 ----> G7 I6 ----> H7 That would leave only 3 squares that the King is touching uncharted, so if we miss there, then we would have a 2/3 chance of scoring a treasure with the King move. We could also move the Queen to G6 and guarantee a treasure that way, because if it misses as well, then the King would have 2/2 chances. OR we could try to move the King first and see if we can hit a treasure with it before moving any of the others. As for the other pieces, I got nothin'. Just a couple of random moves for the bishop and my knight and hope for the best.
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08-11-2009, 07:53 AM | #177 |
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We could guarantee two treasures. There are two treasures in the 5 open spaces around the king. All five of those could be reached by a different piece. I guess I would suggest we start by finding those two treasures, and once that is done, make some random moves with the other pieces and hope we get lucky.
I should probably move first since I can only reach treasures adjacent to me and my king can't take any random shots. The bishop at G5 can probably move at any time since that piece isn't needed to reach the 5 spots around me. That piece also has a 50/50 shot as long as it doesn't move to C1. The knight at E8 can only reach one square adjacent to the king. I'd suggest we move that one last and hope the move to G7 isn't necessary. If we find the two treasures without going to G7, that will give the knight a 50/50 chance with a random move. Here are the moves I propose in order: King to I5 Bishop to H5 Rook to H7 Queen to G6 Knight to G7 Once we find two treasures, the remaining pieces in my list are free to take a random shot. Thoughts? |
08-11-2009, 08:36 AM | #178 |
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Yeah, you're right I didn't notice that my knight at E8 could reach that space adjacent to the king. I agree with your list of moves.
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08-11-2009, 08:54 AM | #179 |
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BrianD, I like the list of moves that you have provided above.
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08-11-2009, 09:00 AM | #180 |
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OK, King to I5 please.
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08-11-2009, 09:37 AM | #181 |
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You will also receive information about what your piece can move to from its new location. Remember though, that each piece move is now frozen in place for the rest of the game.
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08-11-2009, 09:55 AM | #182 |
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So, that's a miss. That sucks.
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08-11-2009, 10:41 AM | #183 |
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I'm strongly against the H-moves going first, the odds for a chest to be hit are slimmer there. I'd rather see us take shots at G6 and G7 first and then safe the rook and bishop for H5 and H7. The rook still has access to some 1 in 4 odds squares, as does the other bishop.
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08-11-2009, 10:44 AM | #184 |
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Actually, with the 3 in 7 odds for the second knight, I think that's the one piece to save for last move, to take a wild gamble with. Even if G7 turns out to be a chest, that knight still has 1 in 3 odds for the other possible moves, which is pretty huge in this mission.
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08-11-2009, 10:49 AM | #185 |
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Yes, I am definitely saving my knight for a final move, hopefully NOT to G7, but we'll see if the other 2 treasures are hit first.
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08-11-2009, 11:13 AM | #186 |
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so it doesnt matter where i move ot right?
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08-11-2009, 11:34 AM | #187 |
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Maybe we should have the top corner rook move to H1, so that we can determine if there are any treasures in the H column.
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08-11-2009, 11:41 AM | #188 |
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As a note, I decided to go ahead and reveal the number of treasures visible after the move (I had originally decided not to, but I think I underestimated the difficulty a touch, so I'm adjusting the rules a hair in the players' favor). Therefore, any advice a gave about not moving a piece because it can't get a treasure is obviously not correct.
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08-11-2009, 12:04 PM | #189 | |
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I would be OK with moving the Queen before the others. I'm still hoping the knight move isn't necessary, but it may be. |
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08-11-2009, 12:44 PM | #190 |
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Okay, rook A1 to H1.
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08-11-2009, 12:46 PM | #191 |
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another suggestion: the 0-knight to B5. That gives additional info for 2 of the other knight's potential moves (C7, D6).
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08-11-2009, 12:51 PM | #192 |
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08-11-2009, 01:37 PM | #193 |
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interesting. doing that simple math again, I'm temted to say that this basically downgrades the H-column. In the grid of post #152, the H-column adds up to 228%, but with the new info they should add up to exactly 200%.
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08-11-2009, 03:41 PM | #194 |
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How about we move the knight with "0" to C5? We know that he will have no options in the spot he is coming from as well as the one currently holding the queen. That should increase the % for the remaining spots. The only downside there is that we can't get to many of his eligible spots with other pieces.
Just trying to see if there is any info value to be gained from this guy before we move the other pieces. |
08-11-2009, 04:42 PM | #195 | |
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The Knight can't get to C5. Did you mean D5? |
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08-11-2009, 04:45 PM | #196 | |
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Something isn't right with your math. In post 152, the column values ranged from 11 to 23. Now they should all be at least 25. |
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08-11-2009, 04:58 PM | #197 |
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Yeah, you're right. Where I wrote 228%, I should have written 128%.
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08-11-2009, 10:47 PM | #198 |
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08-12-2009, 06:08 AM | #199 |
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I'm holding off for better minds to give me a plan of action.
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08-12-2009, 09:27 AM | #200 |
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