a book
Warmup problem:
    Are any of these statements true? If so, how many and which ones?
  1. Exactly one of these statements is false.
  2. Exactly two of these statements are false.
  3. Exactly three of these statements are false.
  4. Exactly four of these statements are false.
  5. Exactly five of these statements are false.
  6. Exactly six of these statements are false.
  7. Exactly seven of these statements are false.
  8. Exactly eight of these statements are false.
  9. Exactly nine of these statements are false.
  10. Exactly ten of these statements are false.

Problem from here. Answer:

Vs bayl bar vf snyfr, gurer'f na vapbafvfgrapl: sbe rknzcyr, ahzore gjb naq ahzore guerr pna'g obgu or gehr. Va snpg, bayl bar fgngrzrag znl or gehr.
Vs gurer ner gra fgngrzragf naq bar vf gehr, rknpgyl avar ner snyfr.

a book

A book has n (n > 2002) pages in it. On each page there is one statement. The first page reads "The number of false statements in this book is a multiple of 1." The second page reads "The number of false statements in this book is a multiple of 2." and so on. The 2002nd statement is true. What is the smallest possible value of n?

Gur ahzore bs snyfr fgngrzragf vf n zhygvcyr bs gjb gubhfnaq gjb. Ohg gurer ner zber guna gjb gubhfnaq gjb cntrf va gur obbx.
Gur arkg zhygvcyr bs gjb gubhfnaq gjb vf sbhe gubhfnaq sbhe.
Guhf gur sbhe gubhfnaq sbhegu vf gehr, yvxr gur gjb gubhfnaq frpbaq, naq rirel snpgbe bs gjb gubhfnaq gjb naq rirel snpgbe bs sbhe gubhfnaq sbhe.
Gur snpgbef bs gjb gubhfnaq gjb ner: bar, gjb, frira, ryrira, guvegrra, sbhegrra, gjragl-gjb, gjragl-fvk, friragl-frira, avargl-bar, bar uhaqerq sbegl-guerr, bar uhaqerq svsgl-sbhe, bar uhaqerq rvtugl-gjb, gjb uhaqerq rvtugl-fvk, bar gubhfnaq bar, naq gjb gubhfnaq gjb. Gung vf fvkgrra snpgbef, pbhagvat gjb gubhfnaq gjb vgfrys.
Sbhe gubhfnaq sbhe unf nyy gur snpgbef bs gjb gubhfnaq gjb, nybat jvgu: sbhe, gjragl-rvtug, sbegl-sbhe, svsgl-gjb, guerr uhaqerq rvtug, guerr fvkgl-sbhe, svir friragl-gjb, naq sbhe gubhfnaq sbhe. Gung vf rvtug nqqvgvbany snpgbef, pbhagvat sbhe gubhfnaq sbhe vgfrys.
Gurersber a rdhnyf sbhe gubhfnaq sbhe cyhf fvkgrra cyhf rvtug, be sbhe gubhfnaq gjragl-rvtug.

rot13 utility
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