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 Calm down, people! (Posted on 2005-10-25)
Mr. and Mrs. Astor, Mr. and Mrs. Blake, Mr. and Mrs. Crane, and Mr. and Mrs. Davis were seated around a table as shown:
```                      +---+
| 1 |
+---+ +---+ +---+
| 8 |       | 2 |
+---+       +---+
+---+               +---+
| 7 |       o       | 3 |
+---+               +---+
+---+       +---+
| 6 |       | 4 |
+---+ +---+ +---+
| 5 |
+---+```
1) Mrs. Astor was insulted by Mr. Blake who sat next to her on her left.

2) Mr. Blake was insulted by Mrs. Crane who sat opposite him across the center of the table.

3) Mrs. Crane was insulted by the hostess who was the only person who sat between a married couple.

4) The hostess was insulted by the only person who sat between two men.

Who insulted the hostess?

 See The Solution Submitted by pcbouhid Rating: 3.3333 (9 votes)

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 computer solution (spoiler) | Comment 3 of 44 |

Denoting the men with capital letters and women with lower case, the seating sequence, hostess and insulter of the hostess were:

hostess was d
C (between D and B)  insulted the hostess

found by the program:

DECLARE SUB permute (a\$)
CLS
a1\$ = "AbCDd": h\$ = a1\$
DO
a\$ = RIGHT\$(a1\$, 1) + "Ba" + LEFT\$(a1\$, 2) + "c" + RIGHT\$(a1\$, 3) + "B"
' last repeated at beginning and first at end to provide neighbors
btwnMarried = 0: btwnMen = 0
FOR i = 1 TO 8 ' person at i+1; neighbors at i and i+2
n1\$ = MID\$(a\$, i, 1)
n2\$ = MID\$(a\$, i + 2, 1)
IF LCASE\$(n1\$) = LCASE\$(n2\$) THEN
btwnMarried = btwnMarried + 1: bMrd\$ = MID\$(a\$, i + 1, 1)
END IF
IF UCASE\$(n1\$) = n1\$ AND UCASE\$(n2\$) = n2\$ THEN
btwnMen = btwnMen + 1: bMen\$ = MID\$(a\$, i, 3)
END IF
NEXT
IF btwnMarried = 1 AND btwnMen = 1 THEN
IF bMrd\$ <> "c" AND LCASE\$(bMrd\$) = bMrd\$ THEN
hsts\$ = bMrd\$
PRINT MID\$(a\$, 2, 8)
PRINT "hostess was "; hsts\$
PRINT MID\$(bMen\$, 2, 1); " (between "; LEFT\$(bMen\$, 1); " and "; RIGHT\$(bMen\$, 1); ") ";
PRINT " insulted the hostess"
PRINT
END IF
END IF

permute a1\$
LOOP UNTIL a1\$ = h\$

The permute subroutine is elsewhere on the site.

 Posted by Charlie on 2005-10-25 11:16:24

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