superprismatic Posted September 2, 2009 Report Share Posted September 2, 2009 In the game of Mathematical Hangman one player makes up an arithmetic problem which the other player tries to solve by asking whether certain digits occur in the various rows and columns. If the digit does not appear in the announced row or column, a part of the body is placed on the gallows. In a particular game one player made up a multiplication problem which fit into a 6x6 square; i.e., at least one digit touched each side of the square. Inspired guessing has elicited the information that in column F, 2 and 7 occur but 4 does not; in column E, 3 and 4 occur but 9 does not; in column D, 6 and 9 occur but 3 does not; in row J, 1 and 6 occur but not 8; in row K, 4 and 8 occur, but not 1; in row L, 1 and 2 occur, but not 7. The guessing participant is just one step away from being hanged. Can you save him by constructiong the problem with no more guesses? A B C D E F G x x x x x x H x x x ----------------- I x x x x x x J x x x x x x K x x x x x x ----------------- L x x x x x x [/code] SUPERPRISMATIC NOTE: Row H has 3 digits without a leading zero. At least one of the lines G, I, J, K, and L has no leading zeros. Quote Link to comment Share on other sites More sharing options...
0 bushindo Posted September 3, 2009 Report Share Posted September 3, 2009 In the game of Mathematical Hangman one player makes up an arithmetic problem which the other player tries to solve by asking whether certain digits occur in the various rows and columns. If the digit does not appear in the announced row or column, a part of the body is placed on the gallows. In a particular game one player made up a multiplication problem which fit into a 6x6 square; i.e., at least one digit touched each side of the square. Inspired guessing has elicited the information that in column F, 2 and 7 occur but 4 does not; in column E, 3 and 4 occur but 9 does not; in column D, 6 and 9 occur but 3 does not; in row J, 1 and 6 occur but not 8; in row K, 4 and 8 occur, but not 1; in row L, 1 and 2 occur, but not 7. The guessing participant is just one step away from being hanged. Can you save him by constructiong the problem with no more guesses? A B C D E F G x x x x x x H x x x ----------------- I x x x x x x J x x x x x x K x x x x x x ----------------- L x x x x x x SUPERPRISMATIC NOTE: Row H has 3 digits without a leading zero. At least one of the lines G, I, J, K, and L has no leading zeros. 515242 Quote Link to comment Share on other sites More sharing options...
0 plainglazed Posted September 3, 2009 Report Share Posted September 3, 2009 515242 0,0,1,9,3,7 0,0,0,2,6,6 0,1,1,6,2,2 1,1,6,2,2,0 3,8,7,4,0,0, 5,1,5,2,4,2 Quote Link to comment Share on other sites More sharing options...
Question
superprismatic
In the game of Mathematical Hangman
one player makes up an arithmetic
problem which the other player tries
to solve by asking whether certain
digits occur in the various rows and
columns. If the digit does not
appear in the announced row or
column, a part of the body is placed
on the gallows. In a particular
game one player made up a
multiplication problem which fit
into a 6x6 square; i.e., at least
one digit touched each side of the
square. Inspired guessing has
elicited the information that in
column F, 2 and 7 occur but 4 does
not; in column E, 3 and 4 occur but
9 does not; in column D, 6 and 9
occur but 3 does not; in row J, 1
and 6 occur but not 8; in row K, 4
and 8 occur, but not 1; in row L, 1
and 2 occur, but not 7. The
guessing participant is just one
step away from being hanged. Can
you save him by constructiong the
problem with no more guesses?
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