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Tough Mudder Info
Let's start with a definition of the Empty Rectangle (ER) itself: If one candidate is restricted to exactely one row and one column within a box, the remaining cells form an ER. Look at the two examples below: On the left candidate 9 in box 5 is restricted to row 4 and column 6. The ER is r5c45 and r6c45. On the right candidate 1 in box 5 is restricted to row 4 and column 5. The ER is r5c46 and r6c46.
If an ER has been found, it can be checked for eliminations: Find a conjugate pair (a row or column containing only two candidates) where one of the candidates is in the row (column) forming the ER. If the column (row) of the ER contains a candidate, that can see the second candidate of the conjugate pair, it can be eliminated.
An ER pattern that follows the description above can always be seen as a
Finned Mutant X-Wing
or as a
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On the left: Row 4 and column 6 form an ER in box 5. r48c2 form a conjugate pair. One side of the conjugate pair is in the ER row (r4c2), the other can see a candidate in the ER column (r8c6). 9 can be eliminated from r8c6.
To see why this works, let us start with candidate 9 in r8c2: If r8c2 is 9, r8c6 cannot be 9 (same row). If r8c2 is not 9, r4c2 has to be 9 (conjugate pair/strong link), which means that neither r4c5 nor r4c6 can be 9. This leaves r6c6 as last candidate 9 in box 5, it must be true and r8c6 must be false again. Since both possibilities in r8c2 lead to the same result (r8c6<>9), 9 can be eliminated from r8c6.
The equivalent Finned Mutant X-Wing: 9 c2b5 r4c6 fr8c2 => r8c6<>9.
The equivalent Grouped Nice Loop: r8c6 -9- r8c2 =9= r4c2 -9- r4c56 =9= r6c6 -9- r8c6 => r8c6<>9.
In the example on the right row 4 and column 5 form the ER, r7c59 is the conjugate pair, and r4c9 can be eliminated.
If the ER contains only two candidates the Empty Rectangle is not clearly defined. The eliminations are of course still valid. The move can be replicated as
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. Some sudoku players don't consider ERs with only two candidates valid, therefore HoDoKu supports them only optionally.
Since Turbot Fish is before ER in the standard solving order, ERs with two candidates are always found as Turbot Fishes, even if they are enabled. Please move Turbot Fish behind ER (or disable it) to find the ERs below.
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Pittsburgh, PA 412-749-0731
Trustee, Ohio University Foundation EmeritiMember, College of Business Society of Alumni and Friends (SFA)
Mr. Muck is a 1962 accounting graduate of Ohio University. He held a staff accounting position with Arthur Young Co. (Now Ernst Young), was vice president and controller of Mesta Machine Company and corporate controller of Wheeling Pittsburgh Steel Corporation prior to joining Munroe in 1975. Munroe, Inc., is a privately owned 171-year-old heavy fabricator and contractor serving the steel, petrochemical, and power generation industries. He is also General Partner of P.F.M. Associates, a real estate investment limited partnership, and Chairman of the Board of Brayman Construction Company, a bridge and foundation contractor, and serves as a Director of Seneca Capital Partners, a venture capital investment firm. Community service includes directorships of the Ohio University Foundation, Family House, the Pittsburgh History and Landmarks Foundation, and as Chairman of the Multiple Sclerosis Society. He is Chairman of the Western Pennsylvania Boilermaker Contractor’s Association, a trustee of the Union’s Health and Welfare and Pension Funds, has remained a member of the AICPA, and taught in the University of Pittsburgh’s Graduate School of Business. He previously served as Chairman and Director of Jefferson Health Service Corporation, a large health care system and as a Director of National City Bank of Pennsylvania. He and his wife have four children (son Stephen is a 1985 graduate of the College). Mr. Muck has served on Ohio University’s Third Century Campaign Committee, and chaired the COB Campaign. He served as a member of the College’s Society of Alumni and Friends, and is a member of the Trustees’ Academy. He was active in the formation of the SFIMG and the SOX Review Team within the COB.
MARCH 29, 2018
MARCH 28, 2018
OHIO UNIVERSITY COLLEGE OF BUSINESS
Copeland Hall, Athens, Ohio 45701
OHIO UNIVERSITY COLLEGE OF BUSINESS
Undergraduate: 740.593.2000 or 800.833.0484 Graduate: 740.593.2053 or 800.622.3124 Executive Education 614.793.5659
Regional Campuses and Centers
Played zombie apocalypse for the first and it was amazing! We will be back!
Will definitely do it again. What a cool experience!
Decided to try this for the first time with my hubby for our anniversary. We had a great time we
also had a great group of strangers working with us. Definitely will be trying these more often. Great job, had a blast.
This was an awesome experience... going to do it again!
Had an amazing time with my husband. Can't wait to go again with friends.
Awesome! We failed but had a great time! The decor was fantastic!
Had a good time with the hubby. It was a great challange, we've been to other escape rooms where
the game itself was boring and didn't really make us think. The Captive room was a challenge but a good challenge. I think we went over our limit with the clues they gave us but overall, it was a good time. The rooms had a creepy scary feel about them. Everytime we asked for a clue, I jumped from the screams! Well done! We will definitely be back for your sub room!
Very fun family experience. Definitely not easy. Looking forward to going back to the murder room!
We have done a few escape rooms and we agreed this was best one so far! Very logical, but
not easy. The unlimited clues help greatly, but we still failed on last part of room...not to give it away. Hard to find location in the back of the complex....don't give up...follow the yellow signs. Well worth it!
Was our first time, didn't know what to expect. My husband and I were the only two so it
was hard but we did get 3 doors open. We are going back with a group so they can help.
Had a great time will definitely come back to do it again
I can't wait for them to finish making the next room already done both room failed both but it was
fun each time .. best experience ever .. glad we all were a lil tipy made it ever funnier ... Lol hurry up and finish the next room we trying to make this something to do on a monthly trip .. my job wants to plan a trip over there also lol
had so much fun!! loved it!! definitely would recommend to try it out!
A wonderful experience. So much fun. A must try for everyone!!!
The captive escape room was fun! Not easy but not too hard either if you're really paying attention which
I suggest! We escaped with 5mins left! Can't wait to come back to do maritime!
Wednesday 10:00 a.m.-6:00 p.m., Thursday 10:00 a.m.-6:00 p.m., Friday 10:00 a.m.-2:00 p.m.
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