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Cryptarithms
Cryptarithms are the cousins of cryptograms where each different letter stands for another letter. In cryptarithms, each letter in an arithmetic problem represents a single digit, zero through nine, unless otherwise directed.
1. Reversal of Four-tune! A Rich, Little Problem. Our first poser asks for a four-digit number, which when quadrupled, has its digits reversed. Can you extend to 5- and 6-digit solutions? Are there other single-digit multipliers that reverse 4-, 5-, and 6-digit numbers? Can you show an infinite set of solutions in 4 digits and up?
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2. How Far? These can be deceptively difficult, as is our second poser which alludes to the Christmas story. The Magi may have had a guiding light, but they had a rough trip even so.
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3. Strange Quintuple (2 solutions)
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4. The Angry Heirs
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5. A Bit Square, My Father
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6. Sextuple Switch (N.B.
not the same pattern as the first poser above) |
7. The Disappearing Leading Digit
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8. They Go Together (same code for both) |
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Finally, a special spatial digital problem. 9. Fill in the digits 1 through
8 and avoid consecutive digits touching either sides or corners (diagonally).
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