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Hi SinisterShadow08,
Your instinct is doing the right thing (locking onto the durations first), but one word in the Ten-Year Plan tab is doing the damage.
The word to re-read is "successive."
From the Ten-Year Plan tab: "...will be closed for remodeling, one at a time, during a continuous seven-year period. For three of the four successive closings... the duration is to be two calendar years each."
"Successive" is describing all four closings - they happen one after another with no gap, adding up to 7 years. It is not saying the three 2-year closings sit back-to-back. So out of the four slots, any three are 2 years and the remaining one is 1 year. Both of these are perfectly legal:
- 2, 2, 2, 1 (City last)
- 1, 2, 2, 2 (City first)
- 2, 1, 2, 2 (City in slot II)
- 2, 2, 1, 2 (City in slot III)
That last pair is what unlocks Davis-City-Blake-Arts: durations are 2 + 1 + 2 + 2 = 7. City sits in the middle, all constraints still hold (Arts is in Period IV; Davis can borrow City's Twentieth-Century Sculptures for that 1-year exhibition).
A quick word-play stand-in
Try the same sentence with one word swapped:
- "Three of the four consecutive rooms are painted blue." - the three blue rooms are next to each other. The fourth (non-blue) is at one end.
- "Three of the four rooms in a row are painted blue." - all four rooms are in a row; any three of them are blue; the non-blue one can sit anywhere.
The original wording is the second case - the "in a row" lives on all four closings, not just the three 2-year ones.
So the answer to (2) stays Yes, and the full set is:
Answer: No, Yes, No
Your instinct is doing the right thing (locking onto the durations first), but one word in the Ten-Year Plan tab is doing the damage.
The word to re-read is "successive."
From the Ten-Year Plan tab: "...will be closed for remodeling, one at a time, during a continuous seven-year period. For three of the four successive closings... the duration is to be two calendar years each."
"Successive" is describing all four closings - they happen one after another with no gap, adding up to 7 years. It is not saying the three 2-year closings sit back-to-back. So out of the four slots, any three are 2 years and the remaining one is 1 year. Both of these are perfectly legal:
- 2, 2, 2, 1 (City last)
- 1, 2, 2, 2 (City first)
- 2, 1, 2, 2 (City in slot II)
- 2, 2, 1, 2 (City in slot III)
That last pair is what unlocks Davis-City-Blake-Arts: durations are 2 + 1 + 2 + 2 = 7. City sits in the middle, all constraints still hold (Arts is in Period IV; Davis can borrow City's Twentieth-Century Sculptures for that 1-year exhibition).
A quick word-play stand-in
Try the same sentence with one word swapped:
- "Three of the four consecutive rooms are painted blue." - the three blue rooms are next to each other. The fourth (non-blue) is at one end.
- "Three of the four rooms in a row are painted blue." - all four rooms are in a row; any three of them are blue; the non-blue one can sit anywhere.
The original wording is the second case - the "in a row" lives on all four closings, not just the three 2-year ones.
So the answer to (2) stays Yes, and the full set is:
Answer: No, Yes, No
SinisterShadow08
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