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.
(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.
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Posted by Charlie
on 2009-03-03 16:24:46 |
re(2): for the actual first question
