I have been "advised" that the program listing below tells me something that it doesn't.
The program merely determines a set of values which are consistent with the expression. It does not attempt to determine uniqueness. The 'error' in my comment, now rectified, was due to incorrectly interpreting the problem text.
Using pencil and paper I derived Y=3 or 4, as in the these algorithms:
we 75
are 625
very
9523 sorry 10223
we 75
are 625
very
9524 sorry 10224
To confirm that they were the only solutions I wrote a program which gave both of the above as well as those below:
we 65
are 735
very
9532 sorry 10332
we 65
are 735
very
9534 sorry 10334
we 65
are 735
very
9538 sorry 10338
we 75
are 625
very
9528 sorry 10228
The program yields y = {2,3,4,8}
but when y=2 or y=3 there is only one result for each.
The program listing:
CLS
OPEN "sorry.txt" FOR OUTPUT AS #1
FOR w = 1 TO 9
IF used(w) = 0 THEN
used(w) = 1
FOR e = 0 TO 9
IF used(e) = 0 THEN
used(e) = 1
FOR a = 1 TO 9
IF used(a) = 0 THEN
used(a) = 1
FOR r = 0 TO 9
IF used(r) = 0 THEN
used(r) = 1
FOR v = 1 TO 9
IF used(v) = 0 THEN
used(v) = 1
FOR y = 0 TO 9
IF used(y) = 0 THEN
used(y) = 1
FOR s = 1 TO 9
IF used(s) = 0 THEN
used(s) = 1
FOR o = 0 TO 9
IF used(o) = 0 THEN
used(o) = 1
we = w * 10 + e
are = a * 100 + r * 10 + e
very = v * 1000 + e * 100 + r * 10 + y
sorry = s * 10000 + o * 1000 + r * 100 + r * 10 + y
IF (sorry = we + are + very) THEN
PRINT " we "; we
PRINT " are "; are
PRINT " very "; very
PRINT "sorry "; sorry
PRINT
PRINT #1, " we "; we
PRINT #1, " are "; are
PRINT #1, " very "; very
PRINT #1, "sorry "; sorry
PRINT #1,
END IF
used(o) = 0
END IF
NEXT
used(s) = 0
END IF
NEXT
used(y) = 0
END IF
NEXT
used(v) = 0
END IF
NEXT
used(r) = 0
END IF
NEXT
used(a) = 0
END IF
NEXT
used(e) = 0
END IF
NEXT
used(w) = 0
END IF
NEXT
CLOSE 1
Edited on September 13, 2010, 9:26 pm
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Posted by brianjn
on 2010-09-04 05:34:25 |
Two Means
