All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Palindromic and Tautonymic (Posted on 2009-03-03)
Make a list of distinct positive integers that are obtained by assigning a different decimal digit from 1 to 9 to each of the capital letters in bold in this expression.

(AB)/C + (DE)/F + (GH)/I

How many of these integers are palindromes? How many are tautonymic numbers?

Note:
A tautonymic number is one which can be divided into two equal non-palindromic halves, with each part having at least two different digits. For example, each of 3636, 5252, 6767, 276276 and 56635663 is a tautonymic number - but, none of 4444 and 555555 is a tautonymic number.

 See The Solution Submitted by K Sengupta No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(2): for the actual first question Comment 5 of 5 |
(In reply to re: for the actual first question by Charlie)

... still didn't fit.  Here's the rest:

3^1 / 9 + 5^4 / 2 + 7^8 / 6 =      961113
1^9 / 2 + 4^5 / 3 + 7^8 / 6 =      961142
4^5 / 3 + 7^8 / 6 + 9^1 / 2 =      961146
2^5 / 6 + 4^9 / 1 + 8^7 / 3 =      961200
1^5 / 3 + 7^8 / 6 + 9^4 / 2 =      964081
5^9 / 2 + 6^1 / 8 + 7^3 / 4 =      976649
3^7 / 6 + 5^9 / 2 + 8^1 / 4 =      976929
1^8 / 3 + 5^9 / 2 + 7^4 / 6 =      976963
3^7 / 4 + 5^9 / 2 + 6^1 / 8 =      977110
1^8 / 6 + 5^9 / 2 + 7^4 / 3 =      977363
1^7 / 6 + 5^9 / 2 + 8^4 / 3 =      977928
5^9 / 2 + 7^1 / 6 + 8^4 / 3 =      977929
3^1 / 6 + 4^7 / 8 + 5^9 / 2 =      978611
3^8 / 6 + 5^9 / 2 + 7^4 / 1 =      980057
3^7 / 6 + 5^9 / 2 + 8^4 / 1 =      981023
1^8 / 6 + 4^7 / 3 + 5^9 / 2 =      982024
1^4 / 3 + 7^8 / 6 + 9^5 / 2 =      990325
4^1 / 3 + 7^8 / 6 + 9^5 / 2 =      990326
4^3 / 1 + 5^8 / 2 + 9^7 / 6 =      992538
3^4 / 1 + 5^8 / 2 + 9^7 / 6 =      992555
3^8 / 6 + 4^7 / 1 + 5^9 / 2 =      994040
1^7 / 6 + 4^8 / 3 + 5^9 / 2 =      998408
4^8 / 3 + 5^9 / 2 + 7^1 / 6 =      998409
4^1 / 2 + 5^9 / 3 + 8^7 / 6 =     1000569
2^4 / 1 + 5^9 / 3 + 8^7 / 6 =     1000583
4^2 / 1 + 5^9 / 3 + 8^7 / 6 =     1000583
1^4 / 2 + 5^9 / 6 + 8^7 / 3 =     1024572
2^1 / 4 + 5^9 / 6 + 8^7 / 3 =     1024572
3^7 / 6 + 4^8 / 1 + 5^9 / 2 =     1042463
1^5 / 2 + 4^9 / 3 + 7^8 / 6 =     1048182
4^9 / 3 + 5^1 / 2 + 7^8 / 6 =     1048184
1^9 / 3 + 4^5 / 6 + 8^7 / 2 =     1048747
3^1 / 9 + 4^5 / 6 + 8^7 / 2 =     1048747
5^4 / 3 + 6^1 / 9 + 8^7 / 2 =     1048785
5^3 / 1 + 6^4 / 9 + 8^7 / 2 =     1048845
4^5 / 3 + 6^1 / 9 + 8^7 / 2 =     1048918
3^5 / 1 + 6^4 / 9 + 8^7 / 2 =     1048963
5^4 / 1 + 6^3 / 9 + 8^7 / 2 =     1049225
3^6 / 9 + 5^4 / 1 + 8^7 / 2 =     1049282
4^3 / 1 + 6^5 / 9 + 8^7 / 2 =     1049504
3^4 / 1 + 6^5 / 9 + 8^7 / 2 =     1049521
4^5 / 1 + 6^3 / 9 + 8^7 / 2 =     1049624
3^6 / 9 + 4^5 / 1 + 8^7 / 2 =     1049681
3^5 / 9 + 6^4 / 1 + 8^7 / 2 =     1049899
6^5 / 4 + 8^7 / 2 + 9^1 / 3 =     1050523
6^5 / 4 + 8^7 / 2 + 9^3 / 1 =     1051249
3^5 / 9 + 4^6 / 1 + 8^7 / 2 =     1052699
3^4 / 9 + 6^5 / 1 + 8^7 / 2 =     1056361
6^5 / 3 + 8^7 / 2 + 9^4 / 1 =     1057729
6^5 / 1 + 8^7 / 2 + 9^4 / 3 =     1058539
3^4 / 9 + 5^6 / 1 + 8^7 / 2 =     1064210
5^6 / 1 + 8^7 / 2 + 9^4 / 3 =     1066388
6^4 / 1 + 8^7 / 2 + 9^5 / 3 =     1069555
4^1 / 8 + 5^9 / 2 + 6^7 / 3 =     1069875
3^9 / 1 + 6^5 / 4 + 8^7 / 2 =     1070203
4^6 / 1 + 8^7 / 2 + 9^5 / 3 =     1072355
1^5 / 3 + 4^9 / 6 + 8^7 / 2 =     1092267
6^3 / 4 + 8^7 / 2 + 9^5 / 1 =     1107679
6^4 / 3 + 8^7 / 2 + 9^5 / 1 =     1108057
2^1 / 6 + 5^9 / 3 + 8^7 / 4 =     1175330
3^4 / 2 + 5^8 / 1 + 9^7 / 6 =     1187827
2^1 / 8 + 3^5 / 6 + 9^7 / 4 =     1195783
5^4 / 1 + 8^7 / 2 + 9^6 / 3 =     1226348
4^5 / 1 + 8^7 / 2 + 9^6 / 3 =     1226747
2^7 / 4 + 5^3 / 1 + 6^9 / 8 =     1259869
2^7 / 4 + 3^5 / 1 + 6^9 / 8 =     1259987
2^5 / 4 + 6^9 / 8 + 7^3 / 1 =     1260063
4^5 / 2 + 6^9 / 8 + 7^3 / 1 =     1260567
2^5 / 4 + 3^7 / 1 + 6^9 / 8 =     1261907
3^7 / 1 + 4^5 / 2 + 6^9 / 8 =     1262411
4^7 / 2 + 5^3 / 1 + 6^9 / 8 =     1268029
3^5 / 1 + 4^7 / 2 + 6^9 / 8 =     1268147
2^3 / 4 + 6^9 / 8 + 7^5 / 1 =     1276521
4^3 / 2 + 6^9 / 8 + 7^5 / 1 =     1276551
4^9 / 1 + 6^5 / 3 + 8^7 / 2 =     1313312
2^3 / 4 + 5^7 / 1 + 6^9 / 8 =     1337839
4^3 / 2 + 5^7 / 1 + 6^9 / 8 =     1337869
3^1 / 6 + 5^9 / 2 + 8^7 / 4 =     1500851
5^2 / 4 + 6^1 / 8 + 9^7 / 3 =     1594330
4^5 / 8 + 6^1 / 2 + 9^7 / 3 =     1594454
4^5 / 8 + 6^2 / 1 + 9^7 / 3 =     1594487
5^2 / 1 + 6^4 / 8 + 9^7 / 3 =     1594510
2^6 / 1 + 4^5 / 8 + 9^7 / 3 =     1594515
2^5 / 1 + 6^4 / 8 + 9^7 / 3 =     1594517
4^6 / 8 + 5^2 / 1 + 9^7 / 3 =     1594860
2^5 / 1 + 4^6 / 8 + 9^7 / 3 =     1594867
2^6 / 8 + 5^4 / 1 + 9^7 / 3 =     1594956
4^1 / 2 + 6^5 / 8 + 9^7 / 3 =     1595297
4^2 / 1 + 6^5 / 8 + 9^7 / 3 =     1595311
2^4 / 1 + 6^5 / 8 + 9^7 / 3 =     1595311
2^6 / 8 + 4^5 / 1 + 9^7 / 3 =     1595355
2^5 / 8 + 6^4 / 1 + 9^7 / 3 =     1595623
6^5 / 4 + 8^1 / 2 + 9^7 / 3 =     1596271
6^5 / 4 + 8^2 / 1 + 9^7 / 3 =     1596331
2^8 / 1 + 6^5 / 4 + 9^7 / 3 =     1596523
6^5 / 2 + 8^1 / 4 + 9^7 / 3 =     1598213
2^5 / 8 + 4^6 / 1 + 9^7 / 3 =     1598423
4^2 / 8 + 6^5 / 1 + 9^7 / 3 =     1602101
2^4 / 8 + 6^5 / 1 + 9^7 / 3 =     1602101
6^5 / 1 + 8^2 / 4 + 9^7 / 3 =     1602115
4^1 / 8 + 5^6 / 2 + 9^7 / 3 =     1602136
2^8 / 4 + 6^5 / 1 + 9^7 / 3 =     1602163
6^5 / 2 + 8^4 / 1 + 9^7 / 3 =     1602307
6^1 / 2 + 8^5 / 4 + 9^7 / 3 =     1602518
6^2 / 1 + 8^5 / 4 + 9^7 / 3 =     1602551
2^6 / 1 + 8^5 / 4 + 9^7 / 3 =     1602579
6^5 / 1 + 8^4 / 2 + 9^7 / 3 =     1604147
4^2 / 8 + 5^6 / 1 + 9^7 / 3 =     1609950
2^4 / 8 + 5^6 / 1 + 9^7 / 3 =     1609950
5^6 / 1 + 8^2 / 4 + 9^7 / 3 =     1609964
2^8 / 4 + 5^6 / 1 + 9^7 / 3 =     1610012
5^6 / 1 + 8^4 / 2 + 9^7 / 3 =     1611996
6^4 / 1 + 8^5 / 2 + 9^7 / 3 =     1612003
4^6 / 1 + 8^5 / 2 + 9^7 / 3 =     1614803
6^2 / 4 + 8^5 / 1 + 9^7 / 3 =     1627100
2^6 / 4 + 8^5 / 1 + 9^7 / 3 =     1627107
6^4 / 2 + 8^5 / 1 + 9^7 / 3 =     1627739
4^6 / 2 + 8^5 / 1 + 9^7 / 3 =     1629139
4^8 / 2 + 6^5 / 1 + 9^7 / 3 =     1634867
4^8 / 2 + 5^6 / 1 + 9^7 / 3 =     1642716
5^2 / 1 + 8^6 / 4 + 9^7 / 3 =     1659884
2^5 / 1 + 8^6 / 4 + 9^7 / 3 =     1659891
4^8 / 1 + 6^5 / 2 + 9^7 / 3 =     1663747
2^7 / 4 + 3^5 / 9 + 6^8 / 1 =     1679675
2^5 / 4 + 3^7 / 9 + 6^8 / 1 =     1679867
3^7 / 9 + 4^5 / 2 + 6^8 / 1 =     1680371
3^5 / 9 + 4^7 / 2 + 6^8 / 1 =     1687835
2^7 / 4 + 6^8 / 1 + 9^5 / 3 =     1699331
4^7 / 2 + 6^8 / 1 + 9^5 / 3 =     1707491
5^4 / 1 + 8^6 / 2 + 9^7 / 3 =     1726020
4^5 / 1 + 8^6 / 2 + 9^7 / 3 =     1726419
5^8 / 2 + 6^1 / 4 + 9^7 / 3 =     1789637
2^5 / 4 + 8^6 / 1 + 9^7 / 3 =     1856475
4^5 / 2 + 8^6 / 1 + 9^7 / 3 =     1856979
2^5 / 4 + 6^1 / 9 + 7^8 / 3 =     1921609
1^9 / 2 + 5^4 / 6 + 7^8 / 3 =     1921705
5^4 / 6 + 7^8 / 3 + 9^1 / 2 =     1921709
4^5 / 6 + 7^8 / 3 + 9^2 / 1 =     1921852
1^9 / 6 + 5^4 / 2 + 7^8 / 3 =     1921913
4^5 / 2 + 6^1 / 9 + 7^8 / 3 =     1922113
2^9 / 1 + 4^5 / 6 + 7^8 / 3 =     1922283
1^5 / 6 + 7^8 / 3 + 9^4 / 2 =     1924881
1^4 / 3 + 5^9 / 2 + 7^8 / 6 =     1937363
4^1 / 3 + 5^9 / 2 + 7^8 / 6 =     1937364
1^4 / 6 + 7^8 / 3 + 9^5 / 2 =     1951125
2^7 / 4 + 5^9 / 1 + 6^3 / 8 =     1953184
2^7 / 8 + 5^9 / 1 + 6^3 / 4 =     1953195
2^7 / 8 + 5^9 / 1 + 6^4 / 3 =     1953573
5^9 / 1 + 7^2 / 3 + 8^4 / 6 =     1953824
5^9 / 1 + 7^4 / 3 + 8^2 / 6 =     1953936
2^8 / 6 + 5^9 / 1 + 7^4 / 3 =     1953968
4^7 / 8 + 5^9 / 1 + 6^2 / 3 =     1955185
4^7 / 8 + 5^9 / 1 + 6^3 / 2 =     1955281
3^8 / 6 + 5^9 / 1 + 7^4 / 2 =     1955419
4^7 / 6 + 5^9 / 1 + 8^2 / 3 =     1955877
2^8 / 3 + 4^7 / 6 + 5^9 / 1 =     1955941
4^7 / 3 + 5^9 / 1 + 8^2 / 6 =     1958597
2^8 / 6 + 4^7 / 3 + 5^9 / 1 =     1958629
4^7 / 2 + 5^9 / 1 + 6^3 / 8 =     1961344
4^8 / 6 + 5^9 / 1 + 7^2 / 3 =     1964064
4^9 / 6 + 5^2 / 1 + 7^8 / 3 =     1965316
2^5 / 1 + 4^9 / 6 + 7^8 / 3 =     1965323
2^4 / 6 + 7^8 / 3 + 9^5 / 1 =     1980652
4^2 / 6 + 7^8 / 3 + 9^5 / 1 =     1980652
5^8 / 1 + 6^2 / 4 + 9^7 / 3 =     1984957
2^6 / 4 + 5^8 / 1 + 9^7 / 3 =     1984964
5^8 / 1 + 6^4 / 2 + 9^7 / 3 =     1985596
4^6 / 2 + 5^8 / 1 + 9^7 / 3 =     1986996
2^3 / 4 + 5^9 / 1 + 6^7 / 8 =     1988119
4^3 / 2 + 5^9 / 1 + 6^7 / 8 =     1988149
5^2 / 1 + 6^8 / 4 + 9^7 / 3 =     2014252
2^5 / 1 + 6^8 / 4 + 9^7 / 3 =     2014259
2^3 / 8 + 5^9 / 1 + 6^7 / 4 =     2023110
5^9 / 1 + 6^7 / 4 + 8^3 / 2 =     2023365
2^4 / 8 + 5^9 / 1 + 6^7 / 3 =     2046439
4^2 / 8 + 5^9 / 1 + 6^7 / 3 =     2046439
5^9 / 1 + 6^7 / 3 + 8^2 / 4 =     2046453
2^8 / 4 + 5^9 / 1 + 6^7 / 3 =     2046501
5^9 / 1 + 6^7 / 3 + 8^4 / 2 =     2048485
4^8 / 2 + 5^9 / 1 + 6^7 / 3 =     2079205
4^3 / 8 + 5^9 / 1 + 6^7 / 2 =     2093101
5^9 / 1 + 6^7 / 2 + 8^3 / 4 =     2093221
2^5 / 4 + 6^3 / 9 + 8^7 / 1 =     2097184
3^5 / 9 + 6^2 / 4 + 8^7 / 1 =     2097188
2^6 / 4 + 3^5 / 9 + 8^7 / 1 =     2097195
2^5 / 4 + 3^6 / 9 + 8^7 / 1 =     2097241
5^4 / 2 + 8^7 / 1 + 9^3 / 6 =     2097586
4^5 / 2 + 6^3 / 9 + 8^7 / 1 =     2097688
3^6 / 9 + 4^5 / 2 + 8^7 / 1 =     2097745
3^5 / 9 + 6^4 / 2 + 8^7 / 1 =     2097827
2^3 / 4 + 6^5 / 9 + 8^7 / 1 =     2098018
4^3 / 2 + 6^5 / 9 + 8^7 / 1 =     2098048
5^3 / 2 + 8^7 / 1 + 9^4 / 6 =     2098308
3^5 / 2 + 8^7 / 1 + 9^4 / 6 =     2098367
3^2 / 9 + 6^5 / 4 + 8^7 / 1 =     2099097
6^5 / 4 + 8^7 / 1 + 9^2 / 3 =     2099123
3^5 / 9 + 4^6 / 2 + 8^7 / 1 =     2099227
2^9 / 4 + 6^5 / 3 + 8^7 / 1 =     2099872
3^5 / 6 + 8^7 / 1 + 9^4 / 2 =     2100473
3^9 / 6 + 5^4 / 2 + 8^7 / 1 =     2100745
3^4 / 9 + 6^5 / 2 + 8^7 / 1 =     2101049
6^5 / 2 + 8^7 / 1 + 9^4 / 3 =     2103227
3^4 / 2 + 8^7 / 1 + 9^5 / 6 =     2107034
6^2 / 4 + 8^7 / 1 + 9^5 / 3 =     2116844
2^6 / 4 + 8^7 / 1 + 9^5 / 3 =     2116851
6^4 / 2 + 8^7 / 1 + 9^5 / 3 =     2117483
4^6 / 2 + 8^7 / 1 + 9^5 / 3 =     2118883
3^4 / 6 + 8^7 / 1 + 9^5 / 2 =     2126690
4^9 / 6 + 5^2 / 3 + 8^7 / 1 =     2140851
4^9 / 2 + 6^5 / 3 + 8^7 / 1 =     2230816
2^5 / 4 + 8^7 / 1 + 9^6 / 3 =     2274307
4^5 / 2 + 8^7 / 1 + 9^6 / 3 =     2274811
3^5 / 6 + 8^1 / 4 + 9^7 / 2 =     2391527
3^5 / 4 + 6^1 / 8 + 9^7 / 2 =     2391546
1^8 / 3 + 5^4 / 6 + 9^7 / 2 =     2391589
3^1 / 6 + 4^5 / 8 + 9^7 / 2 =     2391613
1^8 / 6 + 5^4 / 3 + 9^7 / 2 =     2391693
1^8 / 6 + 4^5 / 3 + 9^7 / 2 =     2391826
1^5 / 6 + 8^4 / 3 + 9^7 / 2 =     2392850
3^8 / 6 + 5^4 / 1 + 9^7 / 2 =     2393203
3^8 / 6 + 4^5 / 1 + 9^7 / 2 =     2393602
4^1 / 8 + 6^5 / 3 + 9^7 / 2 =     2394077
3^5 / 6 + 8^4 / 1 + 9^7 / 2 =     2395621
3^1 / 6 + 8^5 / 4 + 9^7 / 2 =     2399677
1^5 / 6 + 4^8 / 3 + 9^7 / 2 =     2413330
3^4 / 6 + 8^5 / 1 + 9^7 / 2 =     2424266
5^4 / 1 + 6^8 / 2 + 9^7 / 3 =     2434756
4^5 / 1 + 6^8 / 2 + 9^7 / 3 =     2435155
1^4 / 3 + 5^8 / 6 + 9^7 / 2 =     2456589
4^1 / 3 + 5^8 / 6 + 9^7 / 2 =     2456590
3^5 / 6 + 4^8 / 1 + 9^7 / 2 =     2457061
5^9 / 1 + 6^2 / 3 + 8^7 / 4 =     2477425
5^9 / 1 + 6^3 / 2 + 8^7 / 4 =     2477521
2^7 / 4 + 5^9 / 1 + 6^8 / 3 =     2513029
2^7 / 8 + 5^3 / 1 + 6^9 / 4 =     2519565
2^7 / 8 + 3^5 / 1 + 6^9 / 4 =     2519683
2^5 / 8 + 6^9 / 4 + 7^3 / 1 =     2519771
4^7 / 2 + 5^9 / 1 + 6^8 / 3 =     2521189
2^5 / 8 + 3^7 / 1 + 6^9 / 4 =     2521615
1^4 / 6 + 5^8 / 3 + 9^7 / 2 =     2521693
6^9 / 4 + 7^3 / 1 + 8^5 / 2 =     2536151
2^3 / 8 + 6^9 / 4 + 7^5 / 1 =     2536232
6^9 / 4 + 7^5 / 1 + 8^3 / 2 =     2536487
3^7 / 1 + 6^9 / 4 + 8^5 / 2 =     2537995
2^3 / 8 + 5^7 / 1 + 6^9 / 4 =     2597550
5^7 / 1 + 6^9 / 4 + 8^3 / 2 =     2597805
3^4 / 6 + 5^8 / 1 + 9^7 / 2 =     2782123
3^5 / 9 + 6^1 / 4 + 7^8 / 2 =     2882429
1^9 / 3 + 5^4 / 6 + 7^8 / 2 =     2882505
3^1 / 9 + 5^4 / 6 + 7^8 / 2 =     2882505
1^9 / 6 + 5^4 / 3 + 7^8 / 2 =     2882609
1^9 / 6 + 4^5 / 3 + 7^8 / 2 =     2882742
5^4 / 1 + 7^8 / 2 + 9^3 / 6 =     2883147
4^5 / 1 + 7^8 / 2 + 9^3 / 6 =     2883546
5^3 / 1 + 7^8 / 2 + 9^4 / 6 =     2883619
3^5 / 1 + 7^8 / 2 + 9^4 / 6 =     2883737
3^9 / 6 + 5^4 / 1 + 7^8 / 2 =     2886306
3^9 / 6 + 4^5 / 1 + 7^8 / 2 =     2886705
3^5 / 6 + 7^8 / 2 + 9^4 / 1 =     2889002
4^3 / 1 + 7^8 / 2 + 9^5 / 6 =     2892306
3^4 / 1 + 7^8 / 2 + 9^5 / 6 =     2892323
1^4 / 6 + 5^9 / 2 + 7^8 / 3 =     2898163
6^1 / 4 + 7^8 / 2 + 9^5 / 3 =     2902085
3^4 / 6 + 7^8 / 2 + 9^5 / 1 =     2941463
1^5 / 6 + 4^9 / 3 + 7^8 / 2 =     2969782
5^9 / 1 + 6^3 / 4 + 8^7 / 2 =     3001755
5^9 / 1 + 6^4 / 3 + 8^7 / 2 =     3002133
3^4 / 6 + 5^9 / 2 + 8^7 / 1 =     3073728
3^5 / 6 + 4^9 / 1 + 7^8 / 2 =     3144585
2^5 / 4 + 6^8 / 1 + 9^7 / 3 =     3273947
4^5 / 2 + 6^8 / 1 + 9^7 / 3 =     3274451
4^5 / 8 + 6^9 / 3 + 7^2 / 1 =     3359409
2^7 / 1 + 4^5 / 8 + 6^9 / 3 =     3359488
2^7 / 8 + 5^4 / 1 + 6^9 / 3 =     3359873
2^7 / 8 + 4^5 / 1 + 6^9 / 3 =     3360272
4^7 / 8 + 5^2 / 1 + 6^9 / 3 =     3361305
2^5 / 1 + 4^7 / 8 + 6^9 / 3 =     3361312
2^5 / 8 + 6^9 / 3 + 7^4 / 1 =     3361637
2^1 / 8 + 6^9 / 3 + 7^5 / 4 =     3363434
6^9 / 3 + 7^2 / 1 + 8^5 / 4 =     3367473
2^7 / 1 + 6^9 / 3 + 8^5 / 4 =     3367552
4^1 / 8 + 6^9 / 3 + 7^5 / 2 =     3367636
2^5 / 8 + 4^7 / 1 + 6^9 / 3 =     3375620
2^4 / 8 + 6^9 / 3 + 7^5 / 1 =     3376041
4^2 / 8 + 6^9 / 3 + 7^5 / 1 =     3376041
6^9 / 3 + 7^5 / 1 + 8^2 / 4 =     3376055
2^8 / 4 + 6^9 / 3 + 7^5 / 1 =     3376103
6^9 / 3 + 7^4 / 1 + 8^5 / 2 =     3378017
6^9 / 3 + 7^5 / 1 + 8^4 / 2 =     3378087
4^7 / 1 + 6^9 / 3 + 8^5 / 2 =     3392000
2^7 / 4 + 6^9 / 3 + 8^5 / 1 =     3392032
4^1 / 8 + 5^7 / 2 + 6^9 / 3 =     3398295
4^7 / 2 + 6^9 / 3 + 8^5 / 1 =     3400192
4^8 / 2 + 6^9 / 3 + 7^5 / 1 =     3408807
2^4 / 8 + 5^7 / 1 + 6^9 / 3 =     3437359
4^2 / 8 + 5^7 / 1 + 6^9 / 3 =     3437359
5^7 / 1 + 6^9 / 3 + 8^2 / 4 =     3437373
2^8 / 4 + 5^7 / 1 + 6^9 / 3 =     3437421
5^7 / 1 + 6^9 / 3 + 8^4 / 2 =     3439405
4^8 / 2 + 5^7 / 1 + 6^9 / 3 =     3470125
5^3 / 1 + 6^9 / 4 + 8^7 / 2 =     3568125
3^5 / 1 + 6^9 / 4 + 8^7 / 2 =     3568243
2^7 / 4 + 5^8 / 1 + 6^9 / 3 =     3749889
4^7 / 2 + 5^8 / 1 + 6^9 / 3 =     3758049
4^2 / 6 + 5^9 / 1 + 7^8 / 3 =     3874728
2^4 / 6 + 5^9 / 1 + 7^8 / 3 =     3874728
5^2 / 1 + 6^9 / 3 + 8^7 / 4 =     3883545
2^5 / 1 + 6^9 / 3 + 8^7 / 4 =     3883552
5^4 / 1 + 6^9 / 3 + 8^7 / 2 =     4408433
4^5 / 1 + 6^9 / 3 + 8^7 / 2 =     4408832
2^5 / 4 + 6^3 / 8 + 9^7 / 1 =     4783004
2^5 / 8 + 6^3 / 4 + 9^7 / 1 =     4783027
4^5 / 8 + 6^2 / 3 + 9^7 / 1 =     4783109
4^5 / 6 + 8^2 / 3 + 9^7 / 1 =     4783161
5^4 / 3 + 8^2 / 6 + 9^7 / 1 =     4783188
4^5 / 8 + 6^3 / 2 + 9^7 / 1 =     4783205
2^8 / 6 + 5^4 / 3 + 9^7 / 1 =     4783220
2^8 / 3 + 4^5 / 6 + 9^7 / 1 =     4783225
4^5 / 3 + 8^2 / 6 + 9^7 / 1 =     4783321
2^8 / 6 + 4^5 / 3 + 9^7 / 1 =     4783353
2^5 / 8 + 6^4 / 3 + 9^7 / 1 =     4783405
4^5 / 2 + 6^3 / 8 + 9^7 / 1 =     4783508
5^2 / 3 + 8^4 / 6 + 9^7 / 1 =     4783660
2^3 / 4 + 6^5 / 8 + 9^7 / 1 =     4783943
4^3 / 2 + 6^5 / 8 + 9^7 / 1 =     4783973
3^8 / 6 + 5^4 / 2 + 9^7 / 1 =     4784375
2^3 / 8 + 6^5 / 4 + 9^7 / 1 =     4784914
6^5 / 4 + 8^3 / 2 + 9^7 / 1 =     4785169
4^2 / 8 + 6^5 / 3 + 9^7 / 1 =     4785563
2^4 / 8 + 6^5 / 3 + 9^7 / 1 =     4785563
6^5 / 3 + 8^2 / 4 + 9^7 / 1 =     4785577
2^8 / 4 + 6^5 / 3 + 9^7 / 1 =     4785625
4^3 / 8 + 6^5 / 2 + 9^7 / 1 =     4786865
6^5 / 2 + 8^3 / 4 + 9^7 / 1 =     4786985
6^5 / 3 + 8^4 / 2 + 9^7 / 1 =     4787609
6^2 / 3 + 8^5 / 4 + 9^7 / 1 =     4791173
6^3 / 2 + 8^5 / 4 + 9^7 / 1 =     4791269
4^8 / 6 + 5^2 / 3 + 9^7 / 1 =     4793900
6^3 / 4 + 8^5 / 2 + 9^7 / 1 =     4799407
6^4 / 3 + 8^5 / 2 + 9^7 / 1 =     4799785
4^8 / 2 + 6^5 / 3 + 9^7 / 1 =     4818329
3^4 / 6 + 5^9 / 1 + 7^8 / 2 =     4835539
2^4 / 6 + 5^8 / 3 + 9^7 / 1 =     4913180
4^2 / 6 + 5^8 / 3 + 9^7 / 1 =     4913180
3^4 / 6 + 5^8 / 2 + 9^7 / 1 =     4978295
4^5 / 8 + 6^9 / 2 + 7^3 / 1 =     5039319
4^7 / 8 + 5^3 / 1 + 6^9 / 2 =     5041021
3^5 / 1 + 4^7 / 8 + 6^9 / 2 =     5041139
3^7 / 1 + 4^5 / 8 + 6^9 / 2 =     5041163
6^9 / 2 + 7^3 / 1 + 8^5 / 4 =     5047383
3^7 / 1 + 6^9 / 2 + 8^5 / 4 =     5049227
4^3 / 8 + 6^9 / 2 + 7^5 / 1 =     5055663
6^9 / 2 + 7^5 / 1 + 8^3 / 4 =     5055783
4^3 / 8 + 5^7 / 1 + 6^9 / 2 =     5116981
5^7 / 1 + 6^9 / 2 + 8^3 / 4 =     5117101
2^5 / 4 + 6^8 / 3 + 9^7 / 1 =     5342849
4^5 / 2 + 6^8 / 3 + 9^7 / 1 =     5343353
2^5 / 4 + 6^9 / 3 + 8^7 / 1 =     5456392
4^5 / 2 + 6^9 / 3 + 8^7 / 1 =     5456896
5^3 / 1 + 6^9 / 2 + 8^7 / 4 =     5563261
3^5 / 1 + 6^9 / 2 + 8^7 / 4 =     5563379
2^5 / 4 + 6^3 / 9 + 7^8 / 1 =     5764833
3^5 / 9 + 6^2 / 4 + 7^8 / 1 =     5764837
2^6 / 4 + 3^5 / 9 + 7^8 / 1 =     5764844
2^5 / 4 + 3^6 / 9 + 7^8 / 1 =     5764890
5^4 / 2 + 7^8 / 1 + 9^3 / 6 =     5765235
4^5 / 2 + 6^3 / 9 + 7^8 / 1 =     5765337
3^6 / 9 + 4^5 / 2 + 7^8 / 1 =     5765394
3^5 / 9 + 6^4 / 2 + 7^8 / 1 =     5765476
2^3 / 4 + 6^5 / 9 + 7^8 / 1 =     5765667
4^3 / 2 + 6^5 / 9 + 7^8 / 1 =     5765697
5^3 / 2 + 7^8 / 1 + 9^4 / 6 =     5765957
3^5 / 2 + 7^8 / 1 + 9^4 / 6 =     5766016
3^2 / 9 + 6^5 / 4 + 7^8 / 1 =     5766746
6^5 / 4 + 7^8 / 1 + 9^2 / 3 =     5766772
3^5 / 9 + 4^6 / 2 + 7^8 / 1 =     5766876
2^9 / 4 + 6^5 / 3 + 7^8 / 1 =     5767521
3^5 / 6 + 7^8 / 1 + 9^4 / 2 =     5768122
3^9 / 6 + 5^4 / 2 + 7^8 / 1 =     5768394
3^4 / 9 + 6^5 / 2 + 7^8 / 1 =     5768698
6^5 / 2 + 7^8 / 1 + 9^4 / 3 =     5770876
3^4 / 2 + 7^8 / 1 + 9^5 / 6 =     5774683
6^2 / 4 + 7^8 / 1 + 9^5 / 3 =     5784493
2^6 / 4 + 7^8 / 1 + 9^5 / 3 =     5784500
6^4 / 2 + 7^8 / 1 + 9^5 / 3 =     5785132
4^6 / 2 + 7^8 / 1 + 9^5 / 3 =     5786532
3^4 / 6 + 7^8 / 1 + 9^5 / 2 =     5794339
4^9 / 6 + 5^2 / 3 + 7^8 / 1 =     5808500
4^9 / 2 + 6^5 / 3 + 7^8 / 1 =     5898465
2^5 / 4 + 7^8 / 1 + 9^6 / 3 =     5941956
4^5 / 2 + 7^8 / 1 + 9^6 / 3 =     5942460
4^1 / 8 + 5^2 / 3 + 7^9 / 6 =     6725610
1^8 / 2 + 5^4 / 3 + 7^9 / 6 =     6725810
1^8 / 3 + 5^4 / 2 + 7^9 / 6 =     6725914
1^8 / 2 + 4^5 / 3 + 7^9 / 6 =     6725943
1^5 / 2 + 7^9 / 6 + 8^4 / 3 =     6726967
5^1 / 2 + 7^9 / 6 + 8^4 / 3 =     6726969
3^4 / 6 + 5^9 / 2 + 7^8 / 1 =     6741377
1^5 / 2 + 4^8 / 3 + 7^9 / 6 =     6747447
4^8 / 3 + 5^1 / 2 + 7^9 / 6 =     6747449
1^4 / 2 + 5^8 / 3 + 7^9 / 6 =     6855810
2^1 / 4 + 5^8 / 3 + 7^9 / 6 =     6855810
1^4 / 3 + 5^8 / 2 + 7^9 / 6 =     6920914
4^1 / 3 + 5^8 / 2 + 7^9 / 6 =     6920915
5^4 / 2 + 7^3 / 1 + 9^8 / 6 =     7175109
5^4 / 1 + 7^3 / 2 + 9^8 / 6 =     7175250
4^5 / 1 + 7^3 / 2 + 9^8 / 6 =     7175649
5^3 / 1 + 7^4 / 2 + 9^8 / 6 =     7175779
3^5 / 1 + 7^4 / 2 + 9^8 / 6 =     7175897
3^7 / 2 + 5^4 / 1 + 9^8 / 6 =     7176172
3^7 / 2 + 4^5 / 1 + 9^8 / 6 =     7176571
5^3 / 2 + 7^4 / 1 + 9^8 / 6 =     7176917
3^7 / 1 + 5^4 / 2 + 9^8 / 6 =     7176953
3^5 / 2 + 7^4 / 1 + 9^8 / 6 =     7176976
4^3 / 1 + 7^5 / 2 + 9^8 / 6 =     7182921
3^4 / 1 + 7^5 / 2 + 9^8 / 6 =     7182938
4^7 / 1 + 5^3 / 2 + 9^8 / 6 =     7190900
3^5 / 2 + 4^7 / 1 + 9^8 / 6 =     7190959
3^4 / 2 + 7^5 / 1 + 9^8 / 6 =     7191301
4^3 / 1 + 5^7 / 2 + 9^8 / 6 =     7213580
3^4 / 1 + 5^7 / 2 + 9^8 / 6 =     7213597
3^4 / 2 + 5^7 / 1 + 9^8 / 6 =     7252619
2^5 / 4 + 6^9 / 3 + 7^8 / 1 =     9124041
4^5 / 2 + 6^9 / 3 + 7^8 / 1 =     9124545
5^3 / 2 + 6^1 / 8 + 7^9 / 4 =    10088465
3^5 / 2 + 6^1 / 8 + 7^9 / 4 =    10088524
2^1 / 8 + 6^5 / 3 + 7^9 / 4 =    10090994
2^5 / 8 + 4^1 / 6 + 7^9 / 3 =    13451207
4^1 / 8 + 5^2 / 6 + 7^9 / 3 =    13451207
1^8 / 2 + 5^4 / 6 + 7^9 / 3 =    13451307
4^5 / 6 + 7^9 / 3 + 8^1 / 2 =    13451377
4^5 / 6 + 7^9 / 3 + 8^2 / 1 =    13451437
1^8 / 6 + 5^4 / 2 + 7^9 / 3 =    13451515
2^8 / 1 + 4^5 / 6 + 7^9 / 3 =    13451629
5^4 / 1 + 7^9 / 3 + 8^2 / 6 =    13451838
2^8 / 6 + 5^4 / 1 + 7^9 / 3 =    13451870
5^2 / 1 + 7^9 / 3 + 8^4 / 6 =    13451910
2^5 / 1 + 7^9 / 3 + 8^4 / 6 =    13451917
4^5 / 1 + 7^9 / 3 + 8^2 / 6 =    13452237
2^8 / 6 + 4^5 / 1 + 7^9 / 3 =    13452269
4^8 / 6 + 5^2 / 1 + 7^9 / 3 =    13462150
2^5 / 1 + 4^8 / 6 + 7^9 / 3 =    13462157
4^1 / 6 + 7^9 / 3 + 8^5 / 2 =    13467587
2^4 / 6 + 7^9 / 3 + 8^5 / 1 =    13483973
4^2 / 6 + 7^9 / 3 + 8^5 / 1 =    13483973
2^1 / 4 + 5^8 / 6 + 7^9 / 3 =    13516307
1^4 / 2 + 5^8 / 6 + 7^9 / 3 =    13516307
1^4 / 6 + 5^8 / 2 + 7^9 / 3 =    13646515
2^4 / 6 + 5^8 / 1 + 7^9 / 3 =    13841830
4^2 / 6 + 5^8 / 1 + 7^9 / 3 =    13841830
6^5 / 4 + 7^2 / 1 + 9^8 / 3 =    14350900
2^7 / 1 + 6^5 / 4 + 9^8 / 3 =    14350979
6^5 / 2 + 7^4 / 1 + 9^8 / 3 =    14355196
2^7 / 4 + 6^5 / 1 + 9^8 / 3 =    14356715
6^1 / 4 + 7^5 / 2 + 9^8 / 3 =    14357312
2^7 / 4 + 5^6 / 1 + 9^8 / 3 =    14364564
4^7 / 2 + 6^5 / 1 + 9^8 / 3 =    14364875
6^2 / 4 + 7^5 / 1 + 9^8 / 3 =    14365723
2^6 / 4 + 7^5 / 1 + 9^8 / 3 =    14365730
6^4 / 2 + 7^5 / 1 + 9^8 / 3 =    14366362
4^6 / 2 + 7^5 / 1 + 9^8 / 3 =    14367762
4^7 / 1 + 6^5 / 2 + 9^8 / 3 =    14369179
4^7 / 2 + 5^6 / 1 + 9^8 / 3 =    14372724
5^7 / 2 + 6^1 / 4 + 9^8 / 3 =    14387971
5^2 / 1 + 6^7 / 4 + 9^8 / 3 =    14418916
2^5 / 1 + 6^7 / 4 + 9^8 / 3 =    14418923
5^7 / 1 + 6^2 / 4 + 9^8 / 3 =    14427041
2^6 / 4 + 5^7 / 1 + 9^8 / 3 =    14427048
5^7 / 1 + 6^4 / 2 + 9^8 / 3 =    14427680
4^6 / 2 + 5^7 / 1 + 9^8 / 3 =    14429080
2^5 / 4 + 7^6 / 1 + 9^8 / 3 =    14466564
4^5 / 2 + 7^6 / 1 + 9^8 / 3 =    14467068
5^4 / 1 + 6^7 / 2 + 9^8 / 3 =    14489500
4^5 / 1 + 6^7 / 2 + 9^8 / 3 =    14489899
2^5 / 4 + 6^7 / 1 + 9^8 / 3 =    14628851
4^5 / 2 + 6^7 / 1 + 9^8 / 3 =    14629355
3^5 / 6 + 7^9 / 2 + 8^1 / 4 =    20176846
3^5 / 4 + 6^1 / 8 + 7^9 / 2 =    20176865
1^8 / 3 + 5^4 / 6 + 7^9 / 2 =    20176908
3^1 / 6 + 4^5 / 8 + 7^9 / 2 =    20176932
1^8 / 6 + 5^4 / 3 + 7^9 / 2 =    20177012
1^8 / 6 + 4^5 / 3 + 7^9 / 2 =    20177145
1^5 / 6 + 7^9 / 2 + 8^4 / 3 =    20178169
3^8 / 6 + 5^4 / 1 + 7^9 / 2 =    20178522
3^8 / 6 + 4^5 / 1 + 7^9 / 2 =    20178921
4^1 / 8 + 6^5 / 3 + 7^9 / 2 =    20179396
3^5 / 6 + 7^9 / 2 + 8^4 / 1 =    20180940
3^1 / 6 + 7^9 / 2 + 8^5 / 4 =    20184996
1^5 / 6 + 4^8 / 3 + 7^9 / 2 =    20198649
3^4 / 6 + 7^9 / 2 + 8^5 / 1 =    20209585
1^4 / 3 + 5^8 / 6 + 7^9 / 2 =    20241908
4^1 / 3 + 5^8 / 6 + 7^9 / 2 =    20241909
3^5 / 6 + 4^8 / 1 + 7^9 / 2 =    20242380
1^4 / 6 + 5^8 / 3 + 7^9 / 2 =    20307012
3^4 / 6 + 5^8 / 1 + 7^9 / 2 =    20567442
1^7 / 3 + 5^4 / 6 + 9^8 / 2 =    21523465
5^4 / 6 + 7^1 / 3 + 9^8 / 2 =    21523467
1^7 / 6 + 5^4 / 3 + 9^8 / 2 =    21523569
5^4 / 3 + 7^1 / 6 + 9^8 / 2 =    21523570
1^7 / 6 + 4^5 / 3 + 9^8 / 2 =    21523702
4^5 / 3 + 7^1 / 6 + 9^8 / 2 =    21523703
1^5 / 3 + 7^4 / 6 + 9^8 / 2 =    21523761
1^5 / 6 + 7^4 / 3 + 9^8 / 2 =    21524161
3^7 / 6 + 5^4 / 1 + 9^8 / 2 =    21524350
3^7 / 6 + 4^5 / 1 + 9^8 / 2 =    21524749
3^5 / 6 + 7^4 / 1 + 9^8 / 2 =    21525802
1^4 / 3 + 7^5 / 6 + 9^8 / 2 =    21526162
4^1 / 3 + 7^5 / 6 + 9^8 / 2 =    21526163
1^5 / 6 + 4^7 / 3 + 9^8 / 2 =    21528822
1^4 / 6 + 7^5 / 3 + 9^8 / 2 =    21528963
3^5 / 6 + 4^7 / 1 + 9^8 / 2 =    21539785
3^4 / 6 + 7^5 / 1 + 9^8 / 2 =    21540181
3^4 / 6 + 5^7 / 1 + 9^8 / 2 =    21601499
2^7 / 4 + 5^1 / 3 + 8^9 / 6 =    22369655
2^7 / 3 + 5^4 / 1 + 8^9 / 6 =    22370289
2^7 / 3 + 4^5 / 1 + 8^9 / 6 =    22370688
2^5 / 3 + 7^4 / 1 + 8^9 / 6 =    22372033
4^7 / 2 + 5^1 / 3 + 8^9 / 6 =    22377815
2^5 / 3 + 4^7 / 1 + 8^9 / 6 =    22386016
4^1 / 2 + 5^7 / 3 + 8^9 / 6 =    22395665
2^4 / 1 + 5^7 / 3 + 8^9 / 6 =    22395679
4^2 / 1 + 5^7 / 3 + 8^9 / 6 =    22395679
2^7 / 6 + 5^1 / 3 + 8^9 / 4 =    33554455
1^7 / 2 + 3^5 / 6 + 8^9 / 4 =    33554473
3^5 / 6 + 7^1 / 2 + 8^9 / 4 =    33554476
1^5 / 2 + 3^7 / 6 + 8^9 / 4 =    33554797
3^7 / 6 + 5^1 / 2 + 8^9 / 4 =    33554799
6^5 / 3 + 7^2 / 1 + 8^9 / 4 =    33557073
2^7 / 1 + 6^5 / 3 + 8^9 / 4 =    33557152
6^5 / 2 + 7^3 / 1 + 8^9 / 4 =    33558663
3^7 / 1 + 6^5 / 2 + 8^9 / 4 =    33560507
3^1 / 6 + 7^5 / 2 + 8^9 / 4 =    33562836
6^2 / 3 + 7^5 / 1 + 8^9 / 4 =    33571251
6^3 / 2 + 7^5 / 1 + 8^9 / 4 =    33571347
2^1 / 6 + 5^7 / 3 + 8^9 / 4 =    33580474
3^1 / 6 + 5^7 / 2 + 8^9 / 4 =    33593495
5^7 / 1 + 6^2 / 3 + 8^9 / 4 =    33632569
5^7 / 1 + 6^3 / 2 + 8^9 / 4 =    33632665
5^2 / 1 + 6^7 / 3 + 8^9 / 4 =    33647769
2^5 / 1 + 6^7 / 3 + 8^9 / 4 =    33647776
5^3 / 1 + 6^7 / 2 + 8^9 / 4 =    33694525
3^5 / 1 + 6^7 / 2 + 8^9 / 4 =    33694643
2^5 / 4 + 6^3 / 8 + 7^9 / 1 =    40353642
2^5 / 8 + 6^3 / 4 + 7^9 / 1 =    40353665
4^5 / 8 + 6^2 / 3 + 7^9 / 1 =    40353747
4^5 / 6 + 7^9 / 1 + 8^2 / 3 =    40353799
5^4 / 3 + 7^9 / 1 + 8^2 / 6 =    40353826
4^5 / 8 + 6^3 / 2 + 7^9 / 1 =    40353843
2^8 / 6 + 5^4 / 3 + 7^9 / 1 =    40353858
2^8 / 3 + 4^5 / 6 + 7^9 / 1 =    40353863
4^5 / 3 + 7^9 / 1 + 8^2 / 6 =    40353959
2^8 / 6 + 4^5 / 3 + 7^9 / 1 =    40353991
2^5 / 8 + 6^4 / 3 + 7^9 / 1 =    40354043
4^5 / 2 + 6^3 / 8 + 7^9 / 1 =    40354146
5^2 / 3 + 7^9 / 1 + 8^4 / 6 =    40354298
2^3 / 4 + 6^5 / 8 + 7^9 / 1 =    40354581
4^3 / 2 + 6^5 / 8 + 7^9 / 1 =    40354611
3^8 / 6 + 5^4 / 2 + 7^9 / 1 =    40355013
2^3 / 8 + 6^5 / 4 + 7^9 / 1 =    40355552
6^5 / 4 + 7^9 / 1 + 8^3 / 2 =    40355807
4^2 / 8 + 6^5 / 3 + 7^9 / 1 =    40356201
2^4 / 8 + 6^5 / 3 + 7^9 / 1 =    40356201
6^5 / 3 + 7^9 / 1 + 8^2 / 4 =    40356215
2^8 / 4 + 6^5 / 3 + 7^9 / 1 =    40356263
4^3 / 8 + 6^5 / 2 + 7^9 / 1 =    40357503
6^5 / 2 + 7^9 / 1 + 8^3 / 4 =    40357623
6^5 / 3 + 7^9 / 1 + 8^4 / 2 =    40358247
6^2 / 3 + 7^9 / 1 + 8^5 / 4 =    40361811
6^3 / 2 + 7^9 / 1 + 8^5 / 4 =    40361907
4^8 / 6 + 5^2 / 3 + 7^9 / 1 =    40364538
6^3 / 4 + 7^9 / 1 + 8^5 / 2 =    40370045
6^4 / 3 + 7^9 / 1 + 8^5 / 2 =    40370423
4^8 / 2 + 6^5 / 3 + 7^9 / 1 =    40388967
2^4 / 6 + 5^8 / 3 + 7^9 / 1 =    40483818
4^2 / 6 + 5^8 / 3 + 7^9 / 1 =    40483818
3^4 / 6 + 5^8 / 2 + 7^9 / 1 =    40548933
2^5 / 4 + 6^8 / 3 + 7^9 / 1 =    40913487
4^5 / 2 + 6^8 / 3 + 7^9 / 1 =    40913991
4^5 / 6 + 7^2 / 3 + 9^8 / 1 =    43046908
3^7 / 6 + 5^4 / 2 + 9^8 / 1 =    43047398
3^5 / 6 + 7^4 / 2 + 9^8 / 1 =    43047962
2^7 / 4 + 6^5 / 3 + 9^8 / 1 =    43049345
4^7 / 6 + 5^2 / 3 + 9^8 / 1 =    43049460
2^4 / 6 + 7^5 / 3 + 9^8 / 1 =    43052326
4^2 / 6 + 7^5 / 3 + 9^8 / 1 =    43052326
3^4 / 6 + 7^5 / 2 + 9^8 / 1 =    43055138
4^7 / 2 + 6^5 / 3 + 9^8 / 1 =    43057505
3^4 / 6 + 5^7 / 2 + 9^8 / 1 =    43085797
2^5 / 4 + 6^7 / 3 + 9^8 / 1 =    43140041
4^5 / 2 + 6^7 / 3 + 9^8 / 1 =    43140545
2^7 / 6 + 5^4 / 1 + 8^9 / 3 =    44739889
2^7 / 6 + 4^5 / 1 + 8^9 / 3 =    44740288
5^1 / 6 + 7^4 / 2 + 8^9 / 3 =    44740444
2^5 / 6 + 7^4 / 1 + 8^9 / 3 =    44741649
2^1 / 4 + 5^7 / 6 + 8^9 / 3 =    44752264
1^4 / 2 + 5^7 / 6 + 8^9 / 3 =    44752264
2^5 / 6 + 4^7 / 1 + 8^9 / 3 =    44755632
1^7 / 3 + 4^5 / 6 + 8^9 / 2 =    67109035
4^5 / 6 + 7^1 / 3 + 8^9 / 2 =    67109037
6^5 / 4 + 7^3 / 1 + 8^9 / 2 =    67111151
1^5 / 3 + 4^7 / 6 + 8^9 / 2 =    67111595
3^7 / 1 + 6^5 / 4 + 8^9 / 2 =    67112995
6^5 / 3 + 7^4 / 1 + 8^9 / 2 =    67113857
4^1 / 6 + 7^5 / 3 + 8^9 / 2 =    67114467
6^3 / 4 + 7^5 / 1 + 8^9 / 2 =    67125725
6^4 / 3 + 7^5 / 1 + 8^9 / 2 =    67126103
4^7 / 1 + 6^5 / 3 + 8^9 / 2 =    67127840
5^3 / 1 + 6^7 / 4 + 8^9 / 2 =    67178973
3^5 / 1 + 6^7 / 4 + 8^9 / 2 =    67179091
5^7 / 1 + 6^3 / 4 + 8^9 / 2 =    67187043
5^7 / 1 + 6^4 / 3 + 8^9 / 2 =    67187421
5^4 / 1 + 6^7 / 3 + 8^9 / 2 =    67202801
4^5 / 1 + 6^7 / 3 + 8^9 / 2 =    67203200
4^5 / 6 + 7^2 / 3 + 8^9 / 1 =   134217915
3^7 / 6 + 5^4 / 2 + 8^9 / 1 =   134218405
3^5 / 6 + 7^4 / 2 + 8^9 / 1 =   134218969
2^7 / 4 + 6^5 / 3 + 8^9 / 1 =   134220352
4^7 / 6 + 5^2 / 3 + 8^9 / 1 =   134220467
4^2 / 6 + 7^5 / 3 + 8^9 / 1 =   134223333
2^4 / 6 + 7^5 / 3 + 8^9 / 1 =   134223333
3^4 / 6 + 7^5 / 2 + 8^9 / 1 =   134226145
4^7 / 2 + 6^5 / 3 + 8^9 / 1 =   134228512
3^4 / 6 + 5^7 / 2 + 8^9 / 1 =   134256804
2^5 / 4 + 6^7 / 3 + 8^9 / 1 =   134311048
4^5 / 2 + 6^7 / 3 + 8^9 / 1 =   134311552

Overall it's 1492 ways of getting 1428 different numbers. Trivial permutations avoided by A < D < G.

 Posted by Charlie on 2009-03-03 16:24:46

 Search: Search body:
Forums (0)