On my way to work, I pass by a digital thermometer outside a bank that displays the temperature to the nearest integer, alternating back and forth between Fahrenheit and Celsius at four-second intervals.

The other day, when I was going to work, I noticed that the temperatures displayed in Fahrenheit and Celsius were simply reverse digits of each other.

Well, it warmed up nicely during the day, and when I was on my way home, I looked at the same thermometer.
Imagine my shock when, again, the Fahrenheit and Celsius temperature displays were simply reversed digits of each other!

What was the temperature when I came in to work, and what was it when I was on my way home?

Note: To convert from degrees Fahrenheit to Celsius, subtract 32 then multiply by 5/9. To convert the other way, simply do the opposite (multiply by 9/5 and add 32). Ignore leading zeroes.

FOR f = 10 TO 99
  c1 = INT((f - 32.5) * 5 / 9 + .5)
  c2 = INT((f - 31.5) * 5 / 9 + .5)
  f$ = LTRIM$(STR$(f))
  c1$ = LTRIM$(STR$(c1))
  c2$ = LTRIM$(STR$(c2))
  IF RIGHT$(f$, 1) = LEFT$(c1$, 1) AND RIGHT$(c1$, 1) = LEFT$(f$, 1) THEN
      PRINT f, c1
  END IF
  IF RIGHT$(f$, 1) = LEFT$(c2$, 1) AND RIGHT$(c2$, 1) = LEFT$(f$, 1) THEN
      PRINT f, c2
  END IF
NEXT

does come out with the same

61            16


61            16


82            28


82            28

----------
(listed twice each due to checking lower and upper limits of the Fahrenheit possibilities for each degree)

Seeing abc's comment, I note that if 44 F were equivalent to 4 C (which it's not), the program would have found this as a match, as lengths weren't checked.

Posted by Charlie on 2003-09-29 11:00:07