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The Rest

Clue Conundrum

There is an error in instruction 16. The set {1,2,3,4} should be {1,2,3}.

Find a group of six people to play the board game Clue. The order of play is Miss Scarlet, Col Mustard, Mrs White, Mr Green, Mrs Peacock and Prof Plum. Each player also gets a word. Miss Scarlet's word is alphabetically the first one, continuing in ascending order for Col Mustard, Mrs White and so on. Each time a player makes a move, their word undergoes a transformation that is written as an instruction right after they move. In addition if a player makes a suggestion, their word is swapped with the word belonging to the person about whom the suggestion was made. In each turn, the transformation occurs first and then the swaps, if any. At the end, you read the transformed words, starting with the murderer and going around in the order of play.
  1. Miss Scarlet moves four places south.

    Delete all letters that do not occur in the top row of the QWERTY keyboard.

  2. Col Mustard moves two places west.

    Delete the first three letters. Then read the letters in odd-numbered positions in reverse order.

  3. Mrs White moves one place north.

    The last two letters of this word represent the Top Level Domain code of a country. Replace these two letters by the first letter of the name of the country immediately south of it.

  4. Mr Green moves one place north and two places west.

    Replace the last two letters by the reverse of a string representing one of the cardinal directions, resulting in a valid English word.

  5. Mrs Peacock moves five places east and one place south.

    Replace the last occurring state abbreviation by the abbreviation of a neighboring state.

  6. Prof Plum moves two places east and one place north.

    There is a substring consisting of consecutive letters. Caesar shift this substring forward by 11 places.

  7. Miss Scarlet moves two places south, one place east, then one place north to enter the Lounge. She suggests: "Lounge, Prof. Plum, Lead Pipe." Col Mustard refutes the suggestion by showing Miss Scarlet the Lounge card.

    Replace each vowel by the string consisting of the vowel immediately after it and the vowel immediately before it in the sequence ...AEIOUAEIOUAEIOU...

  8. Col Mustard moves five places west.

    Find the longest proper subword of this word. Take the sum of the numerical values of the letters of this subword (A = 1, B = 2, etc.). Reverse the (decimal) digits of this number and write the result in words.

  9. Mrs White moves two places east.

    Caesar shift the first letter backwards by one place and move it to the end of the word.

  10. Mr Green moves three places north.

    Delete the letters that occur at even-numbered positions.

  11. Mrs Peacock moves one place west to enter the conservatory. She suggests: "Conservatory, Mrs White, Rope". Miss Scarlet refutes by showing Mrs Peacock the Conservatory card.

    Arrange the letters in the alphabetical order. Delete the penultimate consonant. Swap all the instances of the first consonant with the first vowel and vice-versa. Anagram to get the name of a city.

  12. Prof Plum takes three steps south from the Lounge doorway and enters the Dining Room. He suggests: "Dining Room, Rev Green, Candlestick". Rev Green refutes by showing Prof Plum the Candlestick card.

    Take the letter in the alphabet occurring immediately before the last letter and insert it immediately before the last vowel.

  13. Miss Scarlet takes the secret passage to the Conservatory. She suggests: "Conservatory, Mrs Peacock, Lead Pipe". Rev Green refutes by showing her the Lead Pipe card.

    Delete all letters whose capitalized versions do not have a horizontal line of symmetry.

  14. Col Mustard moves four places west and one place north to enter the Hall. He suggests: "Hall, Miss Scarlet, Revolver". Mrs White refutes by showing him the Miss Scarlet card.

    This word represents a number $n$. Write the $n$th element referenced in the song "The Elements" by Tom Lehrer.

  15. Mrs White moves four steps east from the east door of the Conservatory to enter the Ballroom. She suggests: "Ballroom, Mrs Peacock, Rope". Prof Plum refutes by showing her the Mrs Peacock card.

    If the word has an odd number of letters, delete the middle letter. Otherwise, delete the last half of the word. Then reverse whatever is left.

  16. Rev Green moves one place west to exit the Dining Room by the west door, and moves three places south.

    Let $n$ be the number of these structures on the set $\{1,2,3,4\}$. Replace the word by the name of the $n$th letter of the NATO phonetic alphabet.

  17. Mrs Peacock moves two places north, exiting the Ballroom by the northwest exit, then moves four places west to enter the Billiard Room. She suggests: "Billiard Room, Miss Scarlet, Knife". Miss Scarlet refutes by showing her the Billiard Room card.

    Replace this object by its genus.

  18. Prof Plum moves one place west, exiting the Dining room by the west door.

    Replace the first letter by an appropriate string, resulting in the first name of Mathcamp visitor this year.

  19. Miss Scarlet moves one place north, exiting the Billiard Room by the north door, then two places east and one place north to enter the Library. She suggests: "Library, Rev Green, Knife". Mrs White refutes by showing her the Library card.

    Replace this word by the chemical element denoted by its first two letters.

  20. Col Mustard moves three places west, exiting the hall by the west door, then moves one place north to enter the Study. He suggests: "Study, Mrs White, Rope". Rev Green refutes by showing him the Study card.

    Let $n$ be the sum of the numerical values of the letters plus the number of vowels. Replace the first three letters by the symbol of the $n$th element.

  21. Mrs White takes the secret passage to the Kitchen. She suggests: "Kitchen, Prof Plum, Revolver". Prof Plum refutes by showing her the Revolver card.

    Insert the female third person possessive pronoun after the first letter.

  22. Rev Green moves two spaces east, exiting the Library by the east door, then moves one space north.

    Change one letter to get a country.

  23. Mrs Peacock moves one space north, exiting the Billiard Room by the north door, then moves two spaces east and one space north to enter the Library. She suggests: "Library, Col Mustard, Wrench". Prof Plum refutes by showing her the Wrench card.

    Take the string formed by the first two letters. Its reversal is the Top Level Domain code of a country. Write down the capital city of this country.

  24. Prof Plum moves two places north, exiting the Kitchen by the north door.

    If the word has an odd number of letters, replace the middle letter by the next letter in the alphabet. Otherwise, attach an A to the beginning of the first half of the word.

  25. Miss Scarlet moves one place south, exiting the library by the south door, then moves two places west and one place south to enter the Billiard Room. She suggests: "Billard Room, Col Mustard, Knife". Mrs Peacock refutes by showing her the Knife card.

    Let $n$ be the sum of the numerical values of the letters modulo 12. Take the $n$th Zodiac sign (Aries = 1, Taurus = 2, etc.)

  26. Col Mustard moves four places east, exiting the billiard room by the east door, then moves two places south to enter the Ballroom. He suggests: "Ballroom, Col Mustard, Wrench". Mrs Peacock refutes by showing him the Col Mustard card.

    Let $n$ be the number of letters in this word. Take the name of the $n$th month.

  27. Mrs White moves one place north, exiting the Kitchen by the north door, then moves three places west and two places north.

    Replace this word by a nine-letter synonym.

  28. Rev Green moves three places east and one place north to enter the Hall. He suggests: "Hall, Rev Green, Candlestick". Col Mustard refutes by showing him the Hall card.

    Delete all the letters that are typed by the right hand in a QWERTY layout.

  29. Mrs Peacock moves one place east, exiting the library by the east door, then moves three places north, one place west and one place north.

    Move the first vowel forward one position according to the sequence AEIOUAEIOU...

  30. Prof Plum turns left and moves one place west.

    This word contains a non-consecutive substring that forms the name of a playing card. Delete this substring.

  31. Miss Scarlet moves four places east, exiting the Billard room by the east door, then moves two places south to enter the Ballroom. She suggests: "Ballroom, Prof Plum, Lead pipe". Col Mustard refutes by showing her the Prof Plum card.

    Replace the third and fourth letters by the first and second letters respectively.

  32. Col Mustard moves one place west, exiting the ballroom by the west door.

    If the word has an odd number of letters, take the middle letter. Otherwise take the penultimate letter.

  33. Mrs White moves one place west, three places north and one place east to enter the Dining Room. She suggests: "Dining Room, Rev Green, Knife". Mrs Peacock refutes by showing her the Dining Room card.

    Delete all letters that do not occur at square-numbered positions (1,4,9, etc) in the word.

  34. Rev Green moves one place north, exiting the dining room by the north door.

    This word sounds like a letter of the alphabet. Replace the word by this letter.

  35. Mrs Peacock moves one place north to enter the Study and makes a suggestion: "Study, Mrs White, Knife". Miss Scarlet refutes this by showing her the Mrs White card.

    Delete all letters whose capital forms have trivial fundamental group.

  36. Prof Plum makes the correct accusation.

    This word can be split as a sequence of chemical element symbols. Take the list (possibly with multiplicities) of their atomic numbers and compute its average. Replace the word by the symbol of the element with this average atomic number.