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Geo-alphametic (Posted on 2013-10-16) Difficulty: 3 of 5
The alphametic
SWAN+MEDIC=IDIOM
yields 8 solutions in base 10, but only one of them may help you answer the following question:

What are the latitude and the longitude of:
7248901,389601981?


See The Solution Submitted by Ady TZIDON    
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Solution computer solution | Comment 1 of 2

DECLARE SUB permute (a$)
DEFDBL A-Z
msg$ = "7248901,389601981"
CLS
OPEN "geoalpha.txt" FOR OUTPUT AS #2
a$ = "wanedcosmi": h$ = a$
DO
    ix = INSTR(a$, "w"): w = ix - 1
    ix = INSTR(a$, "a"): a = ix - 1
    ix = INSTR(a$, "n"): n = ix - 1
    ix = INSTR(a$, "e"): e = ix - 1
    ix = INSTR(a$, "d"): d = ix - 1
    ix = INSTR(a$, "c"): c = ix - 1
    ix = INSTR(a$, "o"): o = ix - 1
    ix = INSTR(a$, "s"): s = ix - 1
    ix = INSTR(a$, "m"): m = ix - 1
    ix = INSTR(a$, "i"): i = ix - 1
    IF s > 0 AND m > 0 AND i > 0 THEN
        idiom = 10100 * i + 1000 * d + 10 * o + m
        lhs = 10000 * m + (s + e) * 1000 + 100 * (w + d) + 10 * (a + i) + n + c
        IF lhs = idiom THEN
            l$(w) = "w"
            l$(a) = "a"
            l$(n) = "n"
            l$(e) = "e"
            l$(d) = "d"
            l$(c) = "c"
            l$(o) = "o"
            l$(s) = "s"
            l$(m) = "m"
            l$(i) = "i"
            FOR j = 1 TO LEN(msg$)
                IF MID$(msg$, j, 1) = "," THEN
                    PRINT ",";
                    PRINT #2, ",";
                ELSE
                    PRINT l$(VAL(MID$(msg$, j, 1)));
                    PRINT #2, l$(VAL(MID$(msg$, j, 1)));
                END IF
            NEXT j
            PRINT: PRINT #2,
        END IF
    END IF
    permute a$
LOOP UNTIL a$ = h$
close

finds

madisoc,wisnocsic
madieoc,wienoceic
cewnsod,ansiodsnd
newcsod,acsiodscd
cswneod,aneiodend
nswceod,aceiodecd
madison,wisconsin
madieon,wieconein


Google maps lists the latitude and longitude of Breese Stevens Field, within Madison, Wisconsin as 43.083684,-89.373779, those being the north and west (because negative) latitude and longitude respectively. Judging from the scale in miles and the irregular boundary of Madison, latitudes within Madison could differ be about 4/70 either way from the given latitude and in longitude perhaps 1/10 or even more as (1) Madison extends more east-west than north-south and (2) meridians of longitude are closer together here (not being the equator) than are parallels of latitude.


  Posted by Charlie on 2013-10-16 15:45:32
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