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Difficulty: MediumAnalytical Puzzles and Grouping

Five genre films—Comedy, Drama, Horror, Romance, and Sci-Fi—are scheduled to be screened one after another from Monday to Friday, with exactly one film shown per day.

Arrange the films in their correct chronological sequence from Monday to Friday based on the following conditions:
1. Exactly two films are screened between the Comedy film and the Sci-Fi film.
2. The Romance film is screened immediately before the Sci-Fi film.
3. The Drama film is screened on a day after the Comedy film, but not on Friday.
4. The Horror film is screened on a day before the Romance film.

  1. 1Horror
  2. 2Comedy
  3. 3Drama
  4. 4Romance
  5. 5Sci-Fi

Answer

The correct chronological sequence from Monday to Friday is: Horror, Comedy, Drama, Romance, and Sci-Fi.
The given conditions logically lock the films into a single valid sequence. The 'Comedy-gap-gap-Sci-Fi' structure paired with Romance immediately preceding Sci-Fi forces a strict 4-day block. Placing this block starting on Monday fails the Horror-before-Romance condition, meaning the block must start on Tuesday. This leaves exactly one valid chronological slot for each remaining film.

Step-by-Step Solution

1
Determine the relative block of Comedy, Romance, and Sci-Fi.
Condition 2 puts Romance immediately before Sci-Fi, giving the sequence: [Romance, Sci-Fi]. Condition 1 states there are two films between Comedy and Sci-Fi. Because Romance is right before Sci-Fi, Comedy must come before the gap, yielding the frame: [Comedy, _, Romance, Sci-Fi].
Establishing rigid blocks minimizes the number of possible placements across the five days.
2
Test the [Comedy, _, Romance, Sci-Fi] block against the five-day schedule.
This 4-day block can either start on Monday (spanning Mon-Thu) or start on Tuesday (spanning Tue-Fri).
The block requires four consecutive days, limiting it to only two possible anchor points in a five-day week.
3
Evaluate the Monday start frame.
If we use [Comedy, _, Romance, Sci-Fi, _], Drama and Horror must be placed on Tuesday and Friday. Condition 3 says Drama is after Comedy but NOT on Friday. Thus, Drama must be on Tuesday, leaving Horror for Friday. However, Condition 4 requires Horror to be before Romance. Since Friday is after Thursday, this frame is invalid.
Testing specific edge conditions eliminates invalid scheduling permutations.
4
Evaluate the Tuesday start frame.
Using the frame [_, Comedy, _, Romance, Sci-Fi] leaves Monday and Wednesday for Drama and Horror. Drama must be after Comedy (Tuesday), so Drama is Wednesday. This leaves Horror for Monday. Horror on Monday is before Romance on Thursday, satisfying Condition 4. The sequence is completely and logically filled.
Applying the final logical constraints confirms the unique deterministic arrangement.

Key Concept

Linear Sequencing and Conditional Placement
Estimated Time:2m 0s
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Topics

Analytical Puzzles and Grouping

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