According to the program below, testing numbers up to 2 million:
Every number greater than 7 has at least 1 letter in common with each of its neighbors.
Every number greater than 12 has at least 2 letters in common with each of its neighbors.
Every number greater than 100 has at least 4 letters in common with each of its neighbors.
Every number greater than 1,000,000 has at least 6 letters in common with each of its neighbors.
But is that true beyond 2 million? It's based on a program that goes up to only 2 million. What about the center number (2) in this triplet:
1. nine-million nine hundred ninety-nine thousand, nine hundred ninety-nine
2. one billion
3. one billion one
Only O, N, E, I, L and B are shared by the latter two, but B is not present in the first of the three. We must change the set of solutions to
Every number greater than 7 has at least 1 letter in common with each of its neighbors.
Every number greater than 12 has at least 2 letters in common with each of its neighbors.
Every number greater than 100 has at least 4 letters in common with each of its neighbors.
Every number greater than 1,000,000 has at least 5 letters in common with each of its neighbors.
DECLARE FUNCTION verify! (s1$, s2$)
DECLARE SUB EnterNum ()
DECLARE SUB ProcPiece (piece$, MajorPower!)
DATA one,two,three,four,five,six,seven,eight,nine
DATA ten,eleven,twelve,thirteen,fourteen,fifteen,sixteen,seventeen
DATA eighteen,nineteen
DATA twenty,thirty,forty,fifty,sixty,seventy,eighty,ninety
DATA thousand,million,billion,trillion,quadrillion,quintillion,sextillion
DIM SHARED unit$(19), ten$(10), major$(7)
FOR i = 1 TO 19
READ unit$(i)
NEXT
FOR i = 2 TO 9
READ ten$(i)
NEXT
FOR i = 1 TO 7
READ major$(i)
NEXT
DIM SHARED name$, num$
'DO
CLS
FOR n = 1 TO 2000000
pp$ = p$
p$ = name$
IF n / 10000 = INT(n / 10000) THEN PRINT n;
num$ = LTRIM$(RTRIM$(STR$(n)))
IF num$ = "0" THEN
name$ = "zero"
ELSE
name$ = ""
MajorPower = 0
DO
l = LEN(num$): IF l > 3 THEN l = 3
piece$ = RIGHT$(num$, l)
num$ = LEFT$(num$, LEN(num$) - l)
CALL ProcPiece(piece$, MajorPower)
MajorPower = MajorPower + 1
LOOP WHILE LEN(num$) > 0
END IF
name$ = UCASE$(name$)
' PRINT name$;
DO
i = verify(name$, "ABCDEFGHIJKLMNOPQRSTUVWXYZ")
IF i THEN name$ = LEFT$(name$, i - 1) + MID$(name$, i + 1)
LOOP UNTIL i = 0
' PRINT " "; name$
lmtch = LEN(linc$(linc$(pp$, p$), name$))
FOR i = lmtch + 1 TO 10
lastLT(i) = n - 1
NEXT
NEXT
FOR i = 1 TO 10
PRINT i, lastLT(i)
NEXT
'LOOP
SUB EnterNum
DO
INPUT "Enter number:", num$
num$ = LTRIM$(RTRIM$(num$))
num = 1
FOR i = 1 TO LEN(num$)
IF INSTR("0123456789", MID$(num$, i, 1)) = 0 THEN num = 0: EXIT FOR
NEXT
IF num = 0 THEN PRINT "Must be numeric."
LOOP WHILE num = 0
END SUB
SUB ProcPiece (piece$, MajorPower)
piece = VAL(piece$)
n$ = ""
IF piece > 99 THEN
n$ = unit$(piece \ 100) + " hundred "
piece = piece MOD 100
END IF
IF piece > 19 THEN
n$ = n$ + ten$(piece \ 10)
piece = piece MOD 10
IF piece > 0 THEN n$ = n$ + "-": ELSE n$ = n$ + " "
END IF
IF piece > 0 THEN n$ = n$ + unit$(piece) + " "
IF n$ > "" THEN name$ = n$ + major$(MajorPower) + " " + name$
END SUB
FUNCTION verify (s1$, s2$)
FOR i = 1 TO LEN(s1$)
IF INSTR(s2$, MID$(s1$, i, 1)) = 0 THEN verify = i: EXIT FUNCTION
NEXT
verify = 0
END FUNCTION
FUNCTION linc$ (a$, b$)
ls$ = ""
FOR i = 1 TO LEN(a$)
c$ = MID$(a$, i, 1)
IF INSTR(a$, c$) = i AND c$ <> " " AND c$ <> "-" THEN
IF INSTR(b$, c$) > 0 THEN ls$ = ls$ + c$
END IF
NEXT
linc$ = ls$
END FUNCTION
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Posted by Charlie
on 2017-07-11 10:48:27 |
first the computer,then a human correction