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Palindromic and Tautonymic (Posted on 2009-03-03) Difficulty: 2 of 5
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    
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Solution re: for the actual first question | Comment 4 of 5 |
(In reply to for the actual first question by Charlie)

The second part was cut off, so here it is again:

3^5 / 9 + 6^1 / 8 + 7^2 / 4 =          40
4^5 / 8 + 6^1 / 9 + 7^2 / 3 =         145
2^7 / 8 + 3^1 / 9 + 4^5 / 6 =         187
1^9 / 3 + 2^7 / 8 + 4^5 / 6 =         187
4^5 / 8 + 6^3 / 9 + 7^2 / 1 =         201
2^7 / 8 + 5^4 / 3 + 6^1 / 9 =         225
1^7 / 3 + 2^9 / 8 + 4^5 / 6 =         235
2^9 / 8 + 4^5 / 6 + 7^1 / 3 =         237
3^5 / 9 + 6^4 / 8 + 7^2 / 1 =         238
3^7 / 9 + 5^2 / 4 + 6^1 / 8 =         250
1^7 / 2 + 4^5 / 8 + 9^3 / 6 =         250
4^5 / 8 + 7^1 / 2 + 9^3 / 6 =         253
3^6 / 9 + 4^5 / 8 + 7^2 / 1 =         258
2^7 / 1 + 4^5 / 8 + 6^3 / 9 =         280
2^7 / 8 + 5^3 / 1 + 6^4 / 9 =         285
4^5 / 8 + 7^3 / 2 + 9^1 / 6 =         301
2^7 / 1 + 3^5 / 9 + 6^4 / 8 =         317
2^7 / 1 + 3^6 / 9 + 4^5 / 8 =         337
2^7 / 8 + 4^5 / 3 + 6^1 / 9 =         358
3^7 / 9 + 4^5 / 8 + 6^1 / 2 =         374
2^7 / 8 + 3^5 / 1 + 6^4 / 9 =         403
3^7 / 9 + 4^5 / 8 + 6^2 / 1 =         407
3^7 / 9 + 5^2 / 1 + 6^4 / 8 =         430
2^6 / 1 + 3^7 / 9 + 4^5 / 8 =         435
2^5 / 1 + 3^7 / 9 + 6^4 / 8 =         437
4^5 / 8 + 6^2 / 9 + 7^3 / 1 =         475
2^5 / 8 + 6^4 / 9 + 7^3 / 1 =         491
1^9 / 2 + 3^7 / 6 + 4^5 / 8 =         493
3^7 / 6 + 4^5 / 8 + 9^1 / 2 =         497
3^5 / 9 + 4^6 / 8 + 7^2 / 1 =         588
2^7 / 8 + 5^4 / 1 + 6^3 / 9 =         665
2^7 / 1 + 3^5 / 9 + 4^6 / 8 =         667
2^7 / 8 + 3^6 / 9 + 5^4 / 1 =         722
3^7 / 9 + 4^6 / 8 + 5^2 / 1 =         780
2^5 / 1 + 3^7 / 9 + 4^6 / 8 =         787 palindrome
2^5 / 8 + 6^1 / 9 + 7^4 / 3 =         805
2^6 / 8 + 3^7 / 9 + 5^4 / 1 =         876
4^3 / 8 + 6^5 / 9 + 7^2 / 1 =         921
2^7 / 8 + 4^3 / 1 + 6^5 / 9 =         944
2^1 / 8 + 6^5 / 9 + 7^3 / 4 =         950
2^7 / 8 + 3^4 / 1 + 6^5 / 9 =         961
2^7 / 1 + 4^3 / 8 + 6^5 / 9 =        1000
2^7 / 4 + 6^5 / 8 + 9^1 / 3 =        1007
3^4 / 9 + 6^5 / 8 + 7^2 / 1 =        1030
4^1 / 8 + 6^5 / 9 + 7^3 / 2 =        1036
6^5 / 9 + 7^2 / 1 + 8^3 / 4 =        1041
2^7 / 8 + 4^5 / 1 + 6^3 / 9 =        1064
2^7 / 1 + 3^4 / 9 + 6^5 / 8 =        1109
2^7 / 1 + 6^5 / 9 + 8^3 / 4 =        1120
2^7 / 8 + 3^6 / 9 + 4^5 / 1 =        1121
2^4 / 8 + 6^5 / 9 + 7^3 / 1 =        1209
4^2 / 8 + 6^5 / 9 + 7^3 / 1 =        1209
3^7 / 9 + 4^1 / 2 + 6^5 / 8 =        1217
6^5 / 9 + 7^3 / 1 + 8^2 / 4 =        1223
3^7 / 2 + 4^5 / 8 + 9^1 / 6 =        1223
2^4 / 1 + 3^7 / 9 + 6^5 / 8 =        1231
3^7 / 9 + 4^2 / 1 + 6^5 / 8 =        1231
2^8 / 4 + 6^5 / 9 + 7^3 / 1 =        1271
2^6 / 8 + 3^7 / 9 + 4^5 / 1 =        1275
2^7 / 8 + 3^5 / 9 + 6^4 / 1 =        1339
2^7 / 4 + 6^5 / 9 + 8^3 / 1 =        1408
2^1 / 8 + 3^7 / 4 + 6^5 / 9 =        1411
2^9 / 4 + 6^5 / 8 + 7^3 / 1 =        1443
2^5 / 8 + 3^7 / 9 + 6^4 / 1 =        1543
2^7 / 4 + 6^5 / 8 + 9^3 / 1 =        1733
3^7 / 2 + 4^1 / 8 + 6^5 / 9 =        1958
2^7 / 8 + 6^5 / 4 + 9^1 / 3 =        1963
4^7 / 8 + 5^2 / 3 + 6^1 / 9 =        2057
3^5 / 9 + 4^7 / 8 + 6^1 / 2 =        2078
1^9 / 2 + 3^5 / 6 + 4^7 / 8 =        2089
3^5 / 6 + 4^7 / 8 + 9^1 / 2 =        2093
4^7 / 8 + 5^2 / 1 + 6^3 / 9 =        2097
2^5 / 1 + 4^7 / 8 + 6^3 / 9 =        2104
3^5 / 9 + 4^7 / 8 + 6^2 / 1 =        2111
4^7 / 8 + 5^3 / 2 + 9^1 / 6 =        2112 palindrome
2^9 / 6 + 4^7 / 8 + 5^1 / 3 =        2135
2^6 / 1 + 3^5 / 9 + 4^7 / 8 =        2139
3^6 / 9 + 4^7 / 8 + 5^2 / 1 =        2154
2^5 / 1 + 3^6 / 9 + 4^7 / 8 =        2161
1^5 / 2 + 4^7 / 8 + 9^3 / 6 =        2170
3^5 / 2 + 4^7 / 8 + 9^1 / 6 =        2171
4^7 / 8 + 5^1 / 2 + 9^3 / 6 =        2172
4^7 / 8 + 5^3 / 1 + 6^2 / 9 =        2177
3^7 / 9 + 6^5 / 4 + 8^1 / 2 =        2191
3^7 / 9 + 6^5 / 4 + 8^2 / 1 =        2251
3^5 / 1 + 4^7 / 8 + 6^2 / 9 =        2295
3^7 / 1 + 4^5 / 8 + 6^2 / 9 =        2319
2^5 / 8 + 3^7 / 1 + 6^4 / 9 =        2335
2^9 / 8 + 6^5 / 4 + 7^3 / 1 =        2351
2^5 / 8 + 6^3 / 9 + 7^4 / 1 =        2429
2^6 / 8 + 3^5 / 9 + 7^4 / 1 =        2436
2^8 / 1 + 3^7 / 9 + 6^5 / 4 =        2443
2^5 / 8 + 3^6 / 9 + 7^4 / 1 =        2486
2^7 / 8 + 6^5 / 4 + 9^3 / 1 =        2689
3^8 / 9 + 6^5 / 4 + 7^2 / 1 =        2722
1^9 / 3 + 2^5 / 8 + 4^7 / 6 =        2735
2^5 / 8 + 3^1 / 9 + 4^7 / 6 =        2735
1^5 / 3 + 2^9 / 8 + 4^7 / 6 =        2795
2^7 / 1 + 3^8 / 9 + 6^5 / 4 =        2801
2^3 / 1 + 4^7 / 8 + 6^5 / 9 =        2920
3^2 / 1 + 4^7 / 8 + 6^5 / 9 =        2921
3^7 / 1 + 4^2 / 8 + 6^5 / 9 =        3053
2^4 / 8 + 3^7 / 1 + 6^5 / 9 =        3053
3^7 / 1 + 6^5 / 9 + 8^2 / 4 =        3067
2^8 / 4 + 3^7 / 1 + 6^5 / 9 =        3115
6^5 / 8 + 7^2 / 1 + 9^4 / 3 =        3208
6^5 / 9 + 7^3 / 1 + 8^4 / 2 =        3255
2^3 / 8 + 6^5 / 9 + 7^4 / 1 =        3266
2^7 / 1 + 6^5 / 8 + 9^4 / 3 =        3287
2^9 / 4 + 3^7 / 1 + 6^5 / 8 =        3287
3^2 / 9 + 6^5 / 8 + 7^4 / 1 =        3374
6^5 / 8 + 7^4 / 1 + 9^2 / 3 =        3400
1^7 / 2 + 3^9 / 6 + 4^5 / 8 =        3409
3^9 / 6 + 4^5 / 8 + 7^1 / 2 =        3412
6^5 / 9 + 7^4 / 1 + 8^3 / 2 =        3521
3^7 / 9 + 6^5 / 2 + 8^1 / 4 =        4133
2^7 / 8 + 3^5 / 9 + 4^6 / 1 =        4139
1^9 / 2 + 7^5 / 6 + 8^4 / 3 =        4167
7^5 / 6 + 8^4 / 3 + 9^1 / 2 =        4171
2^9 / 8 + 3^7 / 1 + 6^5 / 4 =        4195
2^1 / 8 + 6^3 / 9 + 7^5 / 4 =        4226
2^1 / 8 + 3^6 / 9 + 7^5 / 4 =        4283
2^5 / 8 + 3^7 / 9 + 4^6 / 1 =        4343 tautonym
6^1 / 8 + 7^5 / 4 + 9^3 / 2 =        4567
4^7 / 8 + 6^5 / 3 + 9^2 / 1 =        4721
2^9 / 8 + 6^5 / 3 + 7^4 / 1 =        5057
3^7 / 1 + 6^5 / 9 + 8^4 / 2 =        5099
2^9 / 1 + 4^7 / 8 + 6^5 / 3 =        5152
1^5 / 2 + 3^9 / 6 + 4^7 / 8 =        5329
3^9 / 6 + 4^7 / 8 + 5^1 / 2 =        5331
2^5 / 8 + 4^7 / 3 + 6^1 / 9 =        5466
2^4 / 8 + 6^1 / 9 + 7^5 / 3 =        5605
4^2 / 8 + 6^1 / 9 + 7^5 / 3 =        5605
6^1 / 9 + 7^5 / 3 + 8^2 / 4 =        5619
2^8 / 4 + 6^1 / 9 + 7^5 / 3 =        5667
2^9 / 8 + 4^1 / 6 + 7^5 / 3 =        5667
4^7 / 8 + 6^5 / 2 + 9^1 / 3 =        5939
1^8 / 3 + 7^5 / 6 + 9^4 / 2 =        6082
7^5 / 3 + 8^4 / 6 + 9^2 / 1 =        6366
4^7 / 8 + 6^5 / 2 + 9^3 / 1 =        6665
2^9 / 1 + 7^5 / 3 + 8^4 / 6 =        6797
3^8 / 9 + 6^5 / 2 + 7^4 / 1 =        7018
2^7 / 4 + 3^8 / 1 + 6^5 / 9 =        7457
6^1 / 9 + 7^5 / 3 + 8^4 / 2 =        7651
2^7 / 8 + 3^4 / 9 + 6^5 / 1 =        7801
3^7 / 9 + 4^2 / 8 + 6^5 / 1 =        8021
2^4 / 8 + 3^7 / 9 + 6^5 / 1 =        8021
2^9 / 3 + 7^4 / 1 + 8^5 / 6 =        8033
3^7 / 9 + 6^5 / 1 + 8^2 / 4 =        8035
3^7 / 9 + 4^1 / 8 + 5^6 / 2 =        8056
2^8 / 4 + 3^7 / 9 + 6^5 / 1 =        8083
6^1 / 9 + 7^2 / 3 + 8^5 / 4 =        8209
3^7 / 9 + 6^5 / 2 + 8^4 / 1 =        8227
6^3 / 9 + 7^2 / 1 + 8^5 / 4 =        8265
1^7 / 2 + 8^5 / 4 + 9^3 / 6 =        8314
7^1 / 2 + 8^5 / 4 + 9^3 / 6 =        8317
3^6 / 9 + 7^2 / 1 + 8^5 / 4 =        8322
2^7 / 1 + 6^3 / 9 + 8^5 / 4 =        8344
7^3 / 2 + 8^5 / 4 + 9^1 / 6 =        8365
2^7 / 1 + 3^6 / 9 + 8^5 / 4 =        8401
4^3 / 8 + 7^5 / 2 + 9^1 / 6 =        8413
4^1 / 8 + 6^3 / 9 + 7^5 / 2 =        8428
3^7 / 9 + 6^1 / 2 + 8^5 / 4 =        8438
3^7 / 9 + 6^2 / 1 + 8^5 / 4 =        8471
3^6 / 9 + 4^1 / 8 + 7^5 / 2 =        8485
2^6 / 1 + 3^7 / 9 + 8^5 / 4 =        8499
7^5 / 2 + 8^1 / 4 + 9^3 / 6 =        8527
7^5 / 2 + 8^3 / 4 + 9^1 / 6 =        8533
2^7 / 4 + 3^8 / 9 + 6^5 / 1 =        8537
6^2 / 9 + 7^3 / 1 + 8^5 / 4 =        8539
1^9 / 2 + 3^7 / 6 + 8^5 / 4 =        8557
3^7 / 6 + 8^5 / 4 + 9^1 / 2 =        8561
1^8 / 6 + 7^5 / 3 + 9^4 / 2 =        8883
3^8 / 9 + 6^1 / 4 + 7^5 / 2 =        9134
4^7 / 2 + 6^5 / 8 + 9^1 / 3 =        9167
2^7 / 8 + 6^5 / 3 + 9^4 / 1 =        9169
3^7 / 2 + 8^5 / 4 + 9^1 / 6 =        9287
4^7 / 2 + 6^5 / 9 + 8^3 / 1 =        9568
1^9 / 6 + 7^5 / 2 + 8^4 / 3 =        9769
3^2 / 9 + 4^7 / 8 + 6^5 / 1 =        9825
1^7 / 2 + 4^3 / 8 + 9^5 / 6 =        9850
4^7 / 8 + 6^5 / 1 + 9^2 / 3 =        9851
4^3 / 8 + 7^1 / 2 + 9^5 / 6 =        9853
4^7 / 2 + 6^5 / 8 + 9^3 / 1 =        9893
1^7 / 2 + 8^3 / 4 + 9^5 / 6 =        9970
7^1 / 2 + 8^3 / 4 + 9^5 / 6 =        9973
2^7 / 8 + 6^5 / 1 + 9^4 / 3 =        9979
7^5 / 2 + 8^3 / 1 + 9^4 / 6 =       10009
7^3 / 2 + 8^1 / 4 + 9^5 / 6 =       10015
3^7 / 9 + 6^5 / 1 + 8^4 / 2 =       10067
3^7 / 1 + 6^2 / 9 + 8^5 / 4 =       10383
3^7 / 2 + 8^1 / 4 + 9^5 / 6 =       10937
1^7 / 2 + 3^9 / 6 + 8^5 / 4 =       11473
3^9 / 6 + 7^1 / 2 + 8^5 / 4 =       11476
7^4 / 2 + 8^3 / 1 + 9^5 / 6 =       11554
3^9 / 6 + 7^5 / 2 + 8^1 / 4 =       11686
1^3 / 2 + 4^7 / 8 + 9^5 / 6 =       11890
3^1 / 2 + 4^7 / 8 + 9^5 / 6 =       11891
2^7 / 3 + 8^5 / 6 + 9^4 / 1 =       12065
7^5 / 3 + 8^2 / 6 + 9^4 / 1 =       12174
2^8 / 6 + 7^5 / 3 + 9^4 / 1 =       12206
7^5 / 2 + 8^4 / 1 + 9^3 / 6 =       12621 palindrome
2^9 / 3 + 4^1 / 8 + 5^7 / 6 =       13192
3^9 / 4 + 6^1 / 8 + 7^5 / 2 =       13325
2^9 / 6 + 7^4 / 1 + 8^5 / 3 =       13409
3^9 / 2 + 6^1 / 8 + 7^5 / 4 =       14044
7^3 / 2 + 8^4 / 1 + 9^5 / 6 =       14109
3^7 / 2 + 8^4 / 1 + 9^5 / 6 =       15031
2^1 / 8 + 3^7 / 6 + 9^5 / 4 =       15127
3^8 / 2 + 7^4 / 1 + 9^5 / 6 =       15523
3^8 / 1 + 4^7 / 2 + 6^5 / 9 =       15617
2^7 / 8 + 3^4 / 9 + 5^6 / 1 =       15650
3^9 / 6 + 7^5 / 2 + 8^4 / 1 =       15780
3^7 / 9 + 4^2 / 8 + 5^6 / 1 =       15870
2^4 / 8 + 3^7 / 9 + 5^6 / 1 =       15870
3^7 / 9 + 5^6 / 1 + 8^2 / 4 =       15884
2^8 / 4 + 3^7 / 9 + 5^6 / 1 =       15932
3^8 / 6 + 7^5 / 2 + 9^4 / 1 =       16058
3^8 / 1 + 7^5 / 2 + 9^4 / 6 =       16058
5^7 / 6 + 8^1 / 3 + 9^4 / 2 =       16304
2^7 / 4 + 3^8 / 9 + 5^6 / 1 =       16386
2^5 / 8 + 4^7 / 1 + 6^3 / 9 =       16412
2^6 / 8 + 3^5 / 9 + 4^7 / 1 =       16419
2^5 / 8 + 3^6 / 9 + 4^7 / 1 =       16469
4^8 / 6 + 7^5 / 3 + 9^2 / 1 =       16606
3^8 / 9 + 4^7 / 2 + 6^5 / 1 =       16697
4^3 / 8 + 6^2 / 9 + 7^5 / 1 =       16819
2^6 / 8 + 3^4 / 9 + 7^5 / 1 =       16824
2^4 / 8 + 6^3 / 9 + 7^5 / 1 =       16833
4^2 / 8 + 6^3 / 9 + 7^5 / 1 =       16833
6^3 / 9 + 7^5 / 1 + 8^2 / 4 =       16847
6^4 / 9 + 7^3 / 1 + 8^5 / 2 =       16871
3^6 / 9 + 4^2 / 8 + 7^5 / 1 =       16890
2^4 / 8 + 3^6 / 9 + 7^5 / 1 =       16890
2^8 / 4 + 6^3 / 9 + 7^5 / 1 =       16895
3^6 / 9 + 7^5 / 1 + 8^2 / 4 =       16904
2^9 / 8 + 6^3 / 4 + 7^5 / 1 =       16925
6^2 / 9 + 7^5 / 1 + 8^3 / 4 =       16939
2^3 / 8 + 6^4 / 9 + 7^5 / 1 =       16952
2^8 / 4 + 3^6 / 9 + 7^5 / 1 =       16952
2^9 / 4 + 6^3 / 8 + 7^5 / 1 =       16962
3^2 / 9 + 6^4 / 8 + 7^5 / 1 =       16970
6^4 / 8 + 7^5 / 1 + 9^2 / 3 =       16996
2^9 / 1 + 4^8 / 6 + 7^5 / 3 =       17037
6^1 / 9 + 7^4 / 3 + 8^5 / 2 =       17185
6^4 / 9 + 7^5 / 1 + 8^3 / 2 =       17207
2^3 / 8 + 4^7 / 1 + 6^5 / 9 =       17249
2^9 / 8 + 6^4 / 3 + 7^5 / 1 =       17303
3^2 / 9 + 4^6 / 8 + 7^5 / 1 =       17320
4^6 / 8 + 7^5 / 1 + 9^2 / 3 =       17346
3^2 / 9 + 4^7 / 1 + 6^5 / 8 =       17357
4^7 / 1 + 6^5 / 8 + 9^2 / 3 =       17383
4^7 / 1 + 6^5 / 9 + 8^3 / 2 =       17504
2^7 / 6 + 8^5 / 3 + 9^4 / 1 =       17505
3^8 / 9 + 6^2 / 4 + 7^5 / 1 =       17545
2^6 / 4 + 3^8 / 9 + 7^5 / 1 =       17552
3^8 / 1 + 7^4 / 2 + 9^5 / 6 =       17603
3^2 / 9 + 4^7 / 8 + 5^6 / 1 =       17674
4^7 / 8 + 5^6 / 1 + 9^2 / 3 =       17700
2^7 / 8 + 5^6 / 1 + 9^4 / 3 =       17828
3^7 / 9 + 5^6 / 1 + 8^4 / 2 =       17916
3^7 / 9 + 6^4 / 1 + 8^5 / 2 =       17923
3^8 / 9 + 6^4 / 2 + 7^5 / 1 =       18184
3^7 / 1 + 6^4 / 9 + 8^5 / 2 =       18715
6^3 / 9 + 7^4 / 1 + 8^5 / 2 =       18809
3^6 / 9 + 7^4 / 1 + 8^5 / 2 =       18866
6^3 / 9 + 7^5 / 1 + 8^4 / 2 =       18879
3^6 / 9 + 7^5 / 1 + 8^4 / 2 =       18936
2^6 / 8 + 7^5 / 1 + 9^4 / 3 =       19002
2^9 / 8 + 4^7 / 1 + 6^5 / 3 =       19040
3^1 / 9 + 4^7 / 6 + 8^5 / 2 =       19115
1^9 / 3 + 4^7 / 6 + 8^5 / 2 =       19115
3^2 / 9 + 5^7 / 4 + 6^1 / 8 =       19533
5^7 / 4 + 6^1 / 8 + 9^2 / 3 =       19559
3^8 / 9 + 4^6 / 2 + 7^5 / 1 =       19584
2^1 / 8 + 5^7 / 4 + 9^3 / 6 =       19653
6^1 / 8 + 7^2 / 4 + 9^5 / 3 =       19696
6^4 / 8 + 7^2 / 1 + 9^5 / 3 =       19894
2^7 / 1 + 6^4 / 8 + 9^5 / 3 =       19973
4^6 / 8 + 7^2 / 1 + 9^5 / 3 =       20244
2^7 / 1 + 4^6 / 8 + 9^5 / 3 =       20323
2^7 / 4 + 3^9 / 1 + 6^5 / 8 =       20687
3^7 / 9 + 4^6 / 1 + 8^5 / 2 =       20723
2^7 / 8 + 6^4 / 1 + 9^5 / 3 =       20995
3^8 / 9 + 4^7 / 1 + 6^5 / 2 =       21001
3^8 / 6 + 7^5 / 1 + 9^4 / 2 =       21181
3^8 / 2 + 7^5 / 1 + 9^4 / 6 =       21181
2^7 / 8 + 3^9 / 1 + 6^5 / 4 =       21643
4^7 / 8 + 6^1 / 2 + 9^5 / 3 =       21734
4^7 / 8 + 6^2 / 1 + 9^5 / 3 =       21767
2^6 / 1 + 4^7 / 8 + 9^5 / 3 =       21795
4^7 / 3 + 6^1 / 9 + 8^5 / 2 =       21846
2^9 / 3 + 4^7 / 1 + 8^5 / 6 =       22016
2^6 / 8 + 7^4 / 1 + 9^5 / 3 =       22092
2^1 / 8 + 3^9 / 6 + 5^7 / 4 =       22812
2^7 / 8 + 4^6 / 1 + 9^5 / 3 =       23795
3^8 / 9 + 4^7 / 2 + 5^6 / 1 =       24546
1^9 / 2 + 4^8 / 3 + 7^5 / 6 =       24647
4^8 / 3 + 7^5 / 6 + 9^1 / 2 =       24651
3^9 / 1 + 4^7 / 8 + 6^5 / 2 =       25619
2^9 / 6 + 5^7 / 3 + 8^1 / 4 =       26129
2^9 / 4 + 5^7 / 3 + 8^1 / 6 =       26171
2^9 / 6 + 4^7 / 1 + 8^5 / 3 =       27392
3^9 / 1 + 4^7 / 2 + 6^5 / 8 =       28847
3^8 / 2 + 4^7 / 1 + 9^5 / 6 =       29506
6^1 / 8 + 7^3 / 4 + 9^5 / 2 =       29611
3^7 / 6 + 8^1 / 4 + 9^5 / 2 =       29891
1^8 / 3 + 7^4 / 6 + 9^5 / 2 =       29925
3^7 / 4 + 6^1 / 8 + 9^5 / 2 =       30072
2^9 / 6 + 5^7 / 3 + 8^4 / 1 =       30223
1^9 / 6 + 4^8 / 3 + 7^5 / 2 =       30249
1^8 / 6 + 7^4 / 3 + 9^5 / 2 =       30325
1^7 / 6 + 8^4 / 3 + 9^5 / 2 =       30890
7^1 / 6 + 8^4 / 3 + 9^5 / 2 =       30891
4^3 / 8 + 5^2 / 1 + 6^7 / 9 =       31137
2^5 / 1 + 4^3 / 8 + 6^7 / 9 =       31144
2^1 / 8 + 3^5 / 4 + 6^7 / 9 =       31165
4^1 / 8 + 5^3 / 2 + 6^7 / 9 =       31167
2^5 / 8 + 4^3 / 1 + 6^7 / 9 =       31172
2^5 / 8 + 3^4 / 1 + 6^7 / 9 =       31189
3^5 / 2 + 4^1 / 8 + 6^7 / 9 =       31226
4^2 / 8 + 5^3 / 1 + 6^7 / 9 =       31231
2^4 / 8 + 5^3 / 1 + 6^7 / 9 =       31231
2^3 / 1 + 4^5 / 8 + 6^7 / 9 =       31240
3^2 / 1 + 4^5 / 8 + 6^7 / 9 =       31241
5^3 / 1 + 6^7 / 9 + 8^2 / 4 =       31245
5^2 / 1 + 6^7 / 9 + 8^3 / 4 =       31257
2^5 / 1 + 6^7 / 9 + 8^3 / 4 =       31264
2^8 / 4 + 5^3 / 1 + 6^7 / 9 =       31293
3^5 / 1 + 4^2 / 8 + 6^7 / 9 =       31349
2^4 / 8 + 3^5 / 1 + 6^7 / 9 =       31349
3^5 / 1 + 6^7 / 9 + 8^2 / 4 =       31363
2^8 / 4 + 3^5 / 1 + 6^7 / 9 =       31411
3^1 / 6 + 4^7 / 8 + 9^5 / 2 =       31573
2^5 / 4 + 6^7 / 9 + 8^3 / 1 =       31624
2^3 / 8 + 5^4 / 1 + 6^7 / 9 =       31730
5^4 / 1 + 6^7 / 9 + 8^3 / 2 =       31985
4^5 / 2 + 6^7 / 9 + 8^3 / 1 =       32128
2^3 / 8 + 4^5 / 1 + 6^7 / 9 =       32129
4^5 / 1 + 6^7 / 9 + 8^3 / 2 =       32384
2^7 / 6 + 4^9 / 8 + 5^1 / 3 =       32791
4^7 / 1 + 6^3 / 9 + 8^5 / 2 =       32792
1^7 / 2 + 3^5 / 6 + 4^9 / 8 =       32809
3^5 / 6 + 4^9 / 8 + 7^1 / 2 =       32812
2^7 / 4 + 6^3 / 9 + 8^5 / 1 =       32824
3^6 / 9 + 4^7 / 1 + 8^5 / 2 =       32849
2^7 / 4 + 3^6 / 9 + 8^5 / 1 =       32881
3^8 / 6 + 7^4 / 1 + 9^5 / 2 =       33019
3^7 / 9 + 6^2 / 4 + 8^5 / 1 =       33020
2^6 / 4 + 3^7 / 9 + 8^5 / 1 =       33027
1^5 / 2 + 3^7 / 6 + 4^9 / 8 =       33133 palindrome
3^7 / 6 + 4^9 / 8 + 5^1 / 2 =       33135
5^3 / 1 + 6^7 / 9 + 8^4 / 2 =       33277
3^5 / 1 + 6^7 / 9 + 8^4 / 2 =       33395
3^7 / 9 + 6^4 / 2 + 8^5 / 1 =       33659
4^8 / 2 + 6^5 / 9 + 7^3 / 1 =       33975
3^7 / 6 + 8^4 / 1 + 9^5 / 2 =       33985
7^3 / 2 + 8^5 / 1 + 9^4 / 6 =       34033
7^4 / 2 + 8^5 / 1 + 9^3 / 6 =       34090
3^7 / 2 + 8^5 / 1 + 9^4 / 6 =       34955
1^8 / 6 + 4^7 / 3 + 9^5 / 2 =       34986
2^5 / 4 + 6^7 / 8 + 9^1 / 3 =       35003
3^5 / 9 + 4^1 / 2 + 6^7 / 8 =       35021
3^4 / 9 + 5^2 / 1 + 6^7 / 8 =       35026
2^5 / 1 + 3^4 / 9 + 6^7 / 8 =       35033
2^4 / 1 + 3^5 / 9 + 6^7 / 8 =       35035
3^5 / 9 + 4^2 / 1 + 6^7 / 8 =       35035
3^7 / 9 + 4^6 / 2 + 8^5 / 1 =       35059
2^9 / 4 + 5^3 / 1 + 6^7 / 8 =       35245
2^9 / 4 + 3^5 / 1 + 6^7 / 8 =       35363
4^9 / 8 + 6^5 / 3 + 7^2 / 1 =       35409
2^7 / 1 + 4^9 / 8 + 6^5 / 3 =       35488
4^5 / 2 + 6^7 / 8 + 9^1 / 3 =       35507
3^2 / 9 + 5^4 / 1 + 6^7 / 8 =       35618
5^4 / 1 + 6^7 / 8 + 9^2 / 3 =       35644
2^5 / 4 + 6^7 / 8 + 9^3 / 1 =       35729
3^7 / 1 + 4^8 / 2 + 6^5 / 9 =       35819
3^2 / 9 + 4^5 / 1 + 6^7 / 8 =       36017
4^5 / 1 + 6^7 / 8 + 9^2 / 3 =       36043
2^6 / 8 + 4^7 / 1 + 9^5 / 3 =       36075
4^5 / 2 + 6^7 / 8 + 9^3 / 1 =       36233
3^7 / 6 + 8^5 / 1 + 9^4 / 2 =       36413
4^9 / 8 + 6^5 / 2 + 7^3 / 1 =       36999
5^2 / 1 + 6^7 / 8 + 9^4 / 3 =       37204
2^5 / 1 + 6^7 / 8 + 9^4 / 3 =       37211
3^9 / 6 + 7^4 / 2 + 8^5 / 1 =       37249
2^5 / 4 + 3^8 / 1 + 6^7 / 9 =       37673 palindrome
3^8 / 1 + 4^5 / 2 + 6^7 / 9 =       38177
4^8 / 2 + 6^1 / 9 + 7^5 / 3 =       38371
3^7 / 1 + 4^9 / 8 + 6^5 / 2 =       38843
4^3 / 8 + 5^7 / 2 + 9^1 / 6 =       39072
4^1 / 8 + 5^7 / 2 + 6^3 / 9 =       39087
3^6 / 9 + 4^1 / 8 + 5^7 / 2 =       39144
5^7 / 2 + 8^1 / 4 + 9^3 / 6 =       39186
5^7 / 2 + 8^3 / 4 + 9^1 / 6 =       39192
2^3 / 1 + 6^7 / 9 + 8^5 / 4 =       39304
3^2 / 1 + 6^7 / 9 + 8^5 / 4 =       39305
3^8 / 9 + 5^7 / 2 + 6^1 / 4 =       39793 palindrome
1^9 / 6 + 5^7 / 2 + 8^4 / 3 =       40428
5^7 / 2 + 8^3 / 1 + 9^4 / 6 =       40668
3^7 / 9 + 4^8 / 2 + 6^5 / 1 =       40787
4^7 / 2 + 6^3 / 9 + 8^5 / 1 =       40984
3^6 / 9 + 4^7 / 2 + 8^5 / 1 =       41041
3^1 / 6 + 4^9 / 8 + 7^5 / 2 =       41172
3^9 / 6 + 5^7 / 2 + 8^1 / 4 =       42345
5^7 / 2 + 8^4 / 1 + 9^3 / 6 =       43280
1^7 / 3 + 2^5 / 8 + 4^9 / 6 =       43695
2^5 / 8 + 4^9 / 6 + 7^1 / 3 =       43697
1^5 / 3 + 2^7 / 8 + 4^9 / 6 =       43707
3^9 / 4 + 5^7 / 2 + 6^1 / 8 =       43984
3^9 / 6 + 5^7 / 2 + 8^4 / 1 =       46439
3^8 / 6 + 5^7 / 2 + 9^4 / 1 =       46717
3^8 / 1 + 5^7 / 2 + 9^4 / 6 =       46717
3^8 / 6 + 4^7 / 1 + 9^5 / 2 =       47002
4^3 / 1 + 6^7 / 9 + 8^5 / 2 =       47552
3^4 / 1 + 6^7 / 9 + 8^5 / 2 =       47569
3^7 / 9 + 4^8 / 2 + 5^6 / 1 =       48636
4^9 / 6 + 7^5 / 3 + 8^1 / 2 =       49297
4^9 / 6 + 7^5 / 3 + 8^2 / 1 =       49357
2^8 / 1 + 4^9 / 6 + 7^5 / 3 =       49549
4^9 / 8 + 6^2 / 3 + 7^5 / 1 =       49587
4^8 / 2 + 6^3 / 9 + 7^5 / 1 =       49599
3^6 / 9 + 4^8 / 2 + 7^5 / 1 =       49656
4^9 / 8 + 6^3 / 2 + 7^5 / 1 =       49683
1^7 / 6 + 4^8 / 3 + 9^5 / 2 =       51370
4^8 / 3 + 7^1 / 6 + 9^5 / 2 =       51371
4^1 / 2 + 6^7 / 8 + 9^5 / 3 =       54677
2^5 / 4 + 3^9 / 1 + 6^7 / 8 =       54683
2^4 / 1 + 6^7 / 8 + 9^5 / 3 =       54691
4^2 / 1 + 6^7 / 8 + 9^5 / 3 =       54691
3^9 / 1 + 4^5 / 2 + 6^7 / 8 =       55187
2^1 / 6 + 4^9 / 8 + 5^7 / 3 =       58810
3^5 / 9 + 4^1 / 8 + 7^6 / 2 =       58852
2^7 / 4 + 6^3 / 8 + 9^5 / 1 =       59108
2^7 / 8 + 6^3 / 4 + 9^5 / 1 =       59119
2^7 / 8 + 6^4 / 3 + 9^5 / 1 =       59497
7^2 / 3 + 8^4 / 6 + 9^5 / 1 =       59748
7^4 / 3 + 8^2 / 6 + 9^5 / 1 =       59860
2^8 / 6 + 7^4 / 3 + 9^5 / 1 =       59892
1^7 / 3 + 4^9 / 6 + 8^5 / 2 =       60075
4^9 / 6 + 7^1 / 3 + 8^5 / 2 =       60077
4^9 / 6 + 7^5 / 1 + 8^2 / 3 =       60519
2^8 / 3 + 4^9 / 6 + 7^5 / 1 =       60583
1^9 / 6 + 4^8 / 3 + 5^7 / 2 =       60908
4^7 / 8 + 6^2 / 3 + 9^5 / 1 =       61109
4^7 / 8 + 6^3 / 2 + 9^5 / 1 =       61205
3^8 / 6 + 7^4 / 2 + 9^5 / 1 =       61343
4^7 / 6 + 8^2 / 3 + 9^5 / 1 =       61801
2^8 / 3 + 4^7 / 6 + 9^5 / 1 =       61865
2^3 / 4 + 6^7 / 9 + 8^5 / 1 =       63874
4^3 / 2 + 6^7 / 9 + 8^5 / 1 =       63904
4^8 / 2 + 5^3 / 1 + 6^7 / 9 =       63997
3^5 / 1 + 4^8 / 2 + 6^7 / 9 =       64115
4^7 / 3 + 8^2 / 6 + 9^5 / 1 =       64521
2^8 / 6 + 4^7 / 3 + 9^5 / 1 =       64553
3^5 / 9 + 7^2 / 1 + 8^6 / 4 =       65612
2^7 / 1 + 3^5 / 9 + 8^6 / 4 =       65691
3^7 / 9 + 5^2 / 1 + 8^6 / 4 =       65804
2^5 / 1 + 3^7 / 9 + 8^6 / 4 =       65811
1^9 / 2 + 5^8 / 6 + 7^4 / 3 =       65905
5^8 / 6 + 7^4 / 3 + 9^1 / 2 =       65909
1^9 / 3 + 5^8 / 6 + 7^4 / 2 =       66305
3^1 / 9 + 5^8 / 6 + 7^4 / 2 =       66305
4^7 / 2 + 6^3 / 8 + 9^5 / 1 =       67268
1^7 / 3 + 5^8 / 6 + 9^4 / 2 =       68385
5^8 / 6 + 7^1 / 3 + 9^4 / 2 =       68387
3^7 / 9 + 4^8 / 1 + 6^5 / 2 =       69667
4^8 / 6 + 7^2 / 3 + 9^5 / 1 =       69988
2^5 / 8 + 6^7 / 4 + 9^1 / 3 =       69991
3^5 / 9 + 6^7 / 4 + 8^1 / 2 =       70015
3^5 / 9 + 6^7 / 4 + 8^2 / 1 =       70075
2^9 / 8 + 5^3 / 1 + 6^7 / 4 =       70173
2^8 / 1 + 3^5 / 9 + 6^7 / 4 =       70267
2^9 / 8 + 3^5 / 1 + 6^7 / 4 =       70291
1^9 / 2 + 4^7 / 3 + 5^8 / 6 =       70566
4^7 / 3 + 5^8 / 6 + 9^1 / 2 =       70570
2^5 / 8 + 6^7 / 4 + 9^3 / 1 =       70717
3^8 / 9 + 5^2 / 1 + 6^7 / 4 =       70738
2^5 / 1 + 3^8 / 9 + 6^7 / 4 =       70745
3^1 / 6 + 4^9 / 8 + 5^7 / 2 =       71831
4^8 / 1 + 7^5 / 2 + 9^3 / 6 =       74061
4^8 / 1 + 7^3 / 2 + 9^5 / 6 =       75549
3^7 / 2 + 4^8 / 1 + 9^5 / 6 =       76471
4^9 / 6 + 7^2 / 3 + 8^5 / 1 =       76475
3^9 / 6 + 4^8 / 1 + 7^5 / 2 =       77220
4^3 / 8 + 5^7 / 1 + 6^2 / 9 =       78137
2^6 / 8 + 3^4 / 9 + 5^7 / 1 =       78142
2^4 / 8 + 5^7 / 1 + 6^3 / 9 =       78151
4^2 / 8 + 5^7 / 1 + 6^3 / 9 =       78151
5^7 / 1 + 6^3 / 9 + 8^2 / 4 =       78165
2^4 / 8 + 3^6 / 9 + 5^7 / 1 =       78208
3^6 / 9 + 4^2 / 8 + 5^7 / 1 =       78208
2^8 / 4 + 5^7 / 1 + 6^3 / 9 =       78213
3^6 / 9 + 5^7 / 1 + 8^2 / 4 =       78222
2^9 / 8 + 5^7 / 1 + 6^3 / 4 =       78243
5^7 / 1 + 6^2 / 9 + 8^3 / 4 =       78257
2^3 / 8 + 5^7 / 1 + 6^4 / 9 =       78270
2^8 / 4 + 3^6 / 9 + 5^7 / 1 =       78270
2^9 / 4 + 5^7 / 1 + 6^3 / 8 =       78280
3^2 / 9 + 5^7 / 1 + 6^4 / 8 =       78288
5^7 / 1 + 6^4 / 8 + 9^2 / 3 =       78314
4^1 / 8 + 7^6 / 2 + 9^5 / 3 =       78508
5^7 / 1 + 6^4 / 9 + 8^3 / 2 =       78525
2^9 / 8 + 5^7 / 1 + 6^4 / 3 =       78621
3^2 / 9 + 4^6 / 8 + 5^7 / 1 =       78638
4^6 / 8 + 5^7 / 1 + 9^2 / 3 =       78664
3^8 / 9 + 5^7 / 1 + 6^2 / 4 =       78863
2^6 / 4 + 3^8 / 9 + 5^7 / 1 =       78870
3^8 / 9 + 5^7 / 1 + 6^4 / 2 =       79502
5^7 / 1 + 6^3 / 9 + 8^4 / 2 =       80197
3^6 / 9 + 5^7 / 1 + 8^4 / 2 =       80254
2^6 / 8 + 5^7 / 1 + 9^4 / 3 =       80320
3^8 / 9 + 4^6 / 2 + 5^7 / 1 =       80902
3^2 / 9 + 7^5 / 1 + 8^6 / 4 =       82344
7^5 / 1 + 8^6 / 4 + 9^2 / 3 =       82370
3^8 / 6 + 5^7 / 1 + 9^4 / 2 =       82499
3^8 / 2 + 5^7 / 1 + 9^4 / 6 =       82499
7^2 / 1 + 8^6 / 4 + 9^5 / 3 =       85268
2^7 / 1 + 8^6 / 4 + 9^5 / 3 =       85347
6^7 / 4 + 8^5 / 2 + 9^1 / 3 =       86371
6^7 / 4 + 8^5 / 2 + 9^3 / 1 =       87097
2^5 / 8 + 3^9 / 1 + 6^7 / 4 =       89671
6^7 / 4 + 8^1 / 2 + 9^5 / 3 =       89671
6^7 / 4 + 8^2 / 1 + 9^5 / 3 =       89731
2^8 / 1 + 6^7 / 4 + 9^5 / 3 =       89923
1^8 / 2 + 4^9 / 3 + 7^5 / 6 =       90183
2^9 / 6 + 4^8 / 1 + 5^7 / 3 =       91663
4^5 / 8 + 6^7 / 3 + 9^2 / 1 =       93521
2^9 / 1 + 4^5 / 8 + 6^7 / 3 =       93952
2^9 / 8 + 5^4 / 1 + 6^7 / 3 =       94001
2^3 / 4 + 6^7 / 8 + 9^5 / 1 =       94043
4^3 / 2 + 6^7 / 8 + 9^5 / 1 =       94073
2^9 / 8 + 4^5 / 1 + 6^7 / 3 =       94400
3^7 / 6 + 4^8 / 1 + 9^5 / 2 =       95425
1^8 / 6 + 4^9 / 3 + 7^5 / 2 =       95785
2^5 / 8 + 6^7 / 3 + 9^4 / 1 =       99877
6^7 / 3 + 8^5 / 4 + 9^2 / 1 =      101585
2^9 / 1 + 6^7 / 3 + 8^5 / 4 =      102016
3^2 / 9 + 6^7 / 4 + 8^5 / 1 =      102753
6^7 / 4 + 8^5 / 1 + 9^2 / 3 =      102779
4^9 / 3 + 7^5 / 1 + 8^2 / 6 =      104199
2^8 / 6 + 4^9 / 3 + 7^5 / 1 =      104231
4^8 / 1 + 5^7 / 2 + 9^3 / 6 =      104720
3^9 / 1 + 6^7 / 4 + 8^5 / 2 =      106051
3^9 / 6 + 4^8 / 1 + 5^7 / 2 =      107879
4^9 / 8 + 5^7 / 1 + 6^2 / 3 =      110905
4^8 / 2 + 5^7 / 1 + 6^3 / 9 =      110917
3^6 / 9 + 4^8 / 2 + 5^7 / 1 =      110974
4^9 / 8 + 5^7 / 1 + 6^3 / 2 =      111001
6^7 / 3 + 8^5 / 2 + 9^4 / 1 =      116257
2^5 / 8 + 3^4 / 9 + 7^6 / 1 =      117662
2^4 / 8 + 3^5 / 9 + 7^6 / 1 =      117678
3^5 / 9 + 4^2 / 8 + 7^6 / 1 =      117678
3^5 / 9 + 7^6 / 1 + 8^2 / 4 =      117692
2^8 / 4 + 3^5 / 9 + 7^6 / 1 =      117740
3^2 / 9 + 4^5 / 8 + 7^6 / 1 =      117778
4^5 / 8 + 7^6 / 1 + 9^2 / 3 =      117804
2^5 / 4 + 3^8 / 9 + 7^6 / 1 =      118386
3^8 / 9 + 4^5 / 2 + 7^6 / 1 =      118890
3^5 / 9 + 7^6 / 1 + 8^4 / 2 =      119724
2^5 / 8 + 7^6 / 1 + 9^4 / 3 =      119840
4^9 / 6 + 5^7 / 1 + 8^2 / 3 =      121837
2^8 / 3 + 4^9 / 6 + 5^7 / 1 =      121901
4^1 / 8 + 6^7 / 3 + 9^5 / 2 =      122837
3^2 / 9 + 7^6 / 1 + 8^5 / 4 =      125842
7^6 / 1 + 8^5 / 4 + 9^2 / 3 =      125868
4^9 / 8 + 5^2 / 1 + 6^7 / 3 =      126105
2^5 / 1 + 4^9 / 8 + 6^7 / 3 =      126112
2^9 / 4 + 6^7 / 3 + 8^5 / 1 =      126208
1^8 / 6 + 4^9 / 3 + 5^7 / 2 =      126444
2^3 / 8 + 6^7 / 4 + 9^5 / 1 =      129034
6^7 / 4 + 8^3 / 2 + 9^5 / 1 =      129289
2^7 / 4 + 5^8 / 3 + 6^1 / 9 =      130241
1^9 / 2 + 5^8 / 3 + 7^4 / 6 =      130609
5^8 / 3 + 7^4 / 6 + 9^1 / 2 =      130613
1^9 / 6 + 5^8 / 3 + 7^4 / 2 =      131409
3^7 / 9 + 5^4 / 1 + 8^6 / 2 =      131940
3^7 / 9 + 4^5 / 1 + 8^6 / 2 =      132339
4^9 / 2 + 6^5 / 8 + 7^3 / 1 =      132387
4^7 / 6 + 5^8 / 3 + 9^2 / 1 =      133020
2^9 / 1 + 4^7 / 6 + 5^8 / 3 =      133451
1^7 / 6 + 5^8 / 3 + 9^4 / 2 =      133489
5^8 / 3 + 7^1 / 6 + 9^4 / 2 =      133490
3^5 / 9 + 7^4 / 1 + 8^6 / 2 =      133500
3^4 / 9 + 7^6 / 1 + 8^5 / 2 =      134042
3^7 / 1 + 4^9 / 2 + 6^5 / 8 =      134231
7^6 / 1 + 8^5 / 2 + 9^4 / 3 =      136220
4^2 / 8 + 7^6 / 1 + 9^5 / 3 =      137334
2^4 / 8 + 7^6 / 1 + 9^5 / 3 =      137334
7^6 / 1 + 8^2 / 4 + 9^5 / 3 =      137348
2^8 / 4 + 7^6 / 1 + 9^5 / 3 =      137396
4^7 / 2 + 5^8 / 3 + 6^1 / 9 =      138401
7^6 / 1 + 8^4 / 2 + 9^5 / 3 =      139380
3^5 / 9 + 6^7 / 2 + 8^1 / 4 =      139997
4^5 / 8 + 6^7 / 2 + 9^1 / 3 =      140099
4^5 / 8 + 6^7 / 2 + 9^3 / 1 =      140825
3^8 / 9 + 5^4 / 1 + 6^7 / 2 =      141322
3^8 / 9 + 4^5 / 1 + 6^7 / 2 =      141721
3^2 / 9 + 5^7 / 1 + 8^6 / 4 =      143662
5^7 / 1 + 8^6 / 4 + 9^2 / 3 =      143688
3^5 / 9 + 6^7 / 2 + 8^4 / 1 =      144091
3^5 / 9 + 4^7 / 1 + 8^6 / 2 =      147483
3^4 / 9 + 7^5 / 1 + 8^6 / 2 =      147888
4^9 / 2 + 6^3 / 8 + 7^5 / 1 =      147906
6^7 / 2 + 8^5 / 4 + 9^1 / 3 =      148163
6^7 / 2 + 8^5 / 4 + 9^3 / 1 =      148889
7^5 / 1 + 8^6 / 2 + 9^4 / 3 =      150066
3^5 / 9 + 4^8 / 2 + 7^6 / 1 =      150444
2^4 / 8 + 6^7 / 3 + 9^5 / 1 =      152363
4^2 / 8 + 6^7 / 3 + 9^5 / 1 =      152363
6^7 / 3 + 8^2 / 4 + 9^5 / 1 =      152377
2^8 / 4 + 6^7 / 3 + 9^5 / 1 =      152425
1^7 / 2 + 4^9 / 3 + 5^8 / 6 =      152486
4^9 / 3 + 5^8 / 6 + 7^1 / 2 =      152489
7^4 / 1 + 8^6 / 2 + 9^5 / 3 =      153156
6^7 / 3 + 8^4 / 2 + 9^5 / 1 =      154409
4^9 / 2 + 5^7 / 3 + 8^1 / 6 =      157115
6^7 / 2 + 8^1 / 4 + 9^5 / 3 =      159653
3^9 / 1 + 4^5 / 8 + 6^7 / 2 =      159779
6^7 / 2 + 8^4 / 1 + 9^5 / 3 =      163747
4^9 / 3 + 5^7 / 1 + 8^2 / 6 =      165517
2^8 / 6 + 4^9 / 3 + 5^7 / 1 =      165549
4^9 / 2 + 5^3 / 1 + 6^7 / 8 =      166189
3^5 / 1 + 4^9 / 2 + 6^7 / 8 =      166307
4^7 / 1 + 8^6 / 2 + 9^5 / 3 =      167139
3^9 / 1 + 6^7 / 2 + 8^5 / 4 =      167843
4^8 / 2 + 7^6 / 1 + 9^5 / 3 =      170100
3^4 / 9 + 6^7 / 2 + 8^5 / 1 =      172745
4^9 / 8 + 5^3 / 1 + 6^7 / 2 =      172861
3^5 / 1 + 4^9 / 8 + 6^7 / 2 =      172979
4^9 / 6 + 5^8 / 3 + 7^2 / 1 =      173948
2^7 / 1 + 4^9 / 6 + 5^8 / 3 =      174027
6^7 / 2 + 8^5 / 1 + 9^4 / 3 =      174923
4^5 / 8 + 7^2 / 1 + 9^6 / 3 =      177324
2^7 / 1 + 4^5 / 8 + 9^6 / 3 =      177403
2^7 / 8 + 5^4 / 1 + 9^6 / 3 =      177788
2^7 / 8 + 4^5 / 1 + 9^6 / 3 =      178187
4^7 / 8 + 5^2 / 1 + 9^6 / 3 =      179220
2^5 / 1 + 4^7 / 8 + 9^6 / 3 =      179227
2^5 / 8 + 7^4 / 1 + 9^6 / 3 =      179552
2^1 / 8 + 7^5 / 4 + 9^6 / 3 =      181349
4^8 / 2 + 6^7 / 3 + 9^5 / 1 =      185129
7^2 / 1 + 8^5 / 4 + 9^6 / 3 =      185388
2^7 / 1 + 8^5 / 4 + 9^6 / 3 =      185467
4^1 / 8 + 7^5 / 2 + 9^6 / 3 =      185551
2^7 / 4 + 5^3 / 1 + 6^8 / 9 =      186781
2^7 / 4 + 3^5 / 1 + 6^8 / 9 =      186899
2^5 / 4 + 6^8 / 9 + 7^3 / 1 =      186975
4^5 / 2 + 6^8 / 9 + 7^3 / 1 =      187479
2^5 / 4 + 3^7 / 1 + 6^8 / 9 =      188819
3^7 / 1 + 4^5 / 2 + 6^8 / 9 =      189323
2^5 / 8 + 4^7 / 1 + 9^6 / 3 =      193535
4^2 / 8 + 7^5 / 1 + 9^6 / 3 =      193956
2^4 / 8 + 7^5 / 1 + 9^6 / 3 =      193956
7^5 / 1 + 8^2 / 4 + 9^6 / 3 =      193970
2^8 / 4 + 7^5 / 1 + 9^6 / 3 =      194018
4^7 / 2 + 5^3 / 1 + 6^8 / 9 =      194941
3^5 / 1 + 4^7 / 2 + 6^8 / 9 =      195059
3^7 / 9 + 5^8 / 2 + 6^1 / 4 =      195557
1^9 / 3 + 5^8 / 2 + 7^4 / 6 =      195713
3^1 / 9 + 5^8 / 2 + 7^4 / 6 =      195713
7^4 / 1 + 8^5 / 2 + 9^6 / 3 =      195932
7^5 / 1 + 8^4 / 2 + 9^6 / 3 =      196002
1^9 / 6 + 5^8 / 2 + 7^4 / 3 =      196113
5^8 / 2 + 7^3 / 1 + 9^4 / 6 =      196749
5^8 / 2 + 7^4 / 1 + 9^3 / 6 =      197835
3^7 / 1 + 5^8 / 2 + 9^4 / 6 =      198593
4^3 / 8 + 6^7 / 2 + 9^5 / 1 =      199025
6^7 / 2 + 8^3 / 4 + 9^5 / 1 =      199145
1^9 / 6 + 4^7 / 3 + 5^8 / 2 =      200774
3^9 / 6 + 5^8 / 2 + 7^4 / 1 =      200994
3^7 / 6 + 5^8 / 2 + 9^4 / 1 =      202238
2^3 / 4 + 6^8 / 9 + 7^5 / 1 =      203433
4^3 / 2 + 6^8 / 9 + 7^5 / 1 =      203463
3^5 / 9 + 4^8 / 1 + 6^7 / 2 =      205531
3^4 / 9 + 5^7 / 1 + 8^6 / 2 =      209206
4^9 / 2 + 5^7 / 1 + 6^3 / 8 =      209224
4^7 / 1 + 8^5 / 2 + 9^6 / 3 =      209915
2^7 / 4 + 8^5 / 1 + 9^6 / 3 =      209947
5^7 / 1 + 8^6 / 2 + 9^4 / 3 =      211384
4^7 / 1 + 5^8 / 2 + 9^3 / 6 =      211818
3^9 / 6 + 4^7 / 1 + 5^8 / 2 =      214977
4^1 / 8 + 5^7 / 2 + 9^6 / 3 =      216210
4^7 / 2 + 8^5 / 1 + 9^6 / 3 =      218107
4^8 / 1 + 6^7 / 2 + 9^5 / 3 =      225187
4^8 / 2 + 7^5 / 1 + 9^6 / 3 =      226722
2^4 / 8 + 5^7 / 1 + 9^6 / 3 =      255274
4^2 / 8 + 5^7 / 1 + 9^6 / 3 =      255274
5^7 / 1 + 8^2 / 4 + 9^6 / 3 =      255288
2^8 / 4 + 5^7 / 1 + 9^6 / 3 =      255336
4^9 / 2 + 6^7 / 3 + 8^5 / 1 =      257152
5^7 / 1 + 8^4 / 2 + 9^6 / 3 =      257320
2^7 / 4 + 3^5 / 9 + 8^6 / 1 =      262203
2^5 / 4 + 3^7 / 9 + 8^6 / 1 =      262395
3^7 / 9 + 4^5 / 2 + 8^6 / 1 =      262899
2^3 / 4 + 5^7 / 1 + 6^8 / 9 =      264751
2^7 / 8 + 4^9 / 1 + 6^5 / 3 =      264752
4^3 / 2 + 5^7 / 1 + 6^8 / 9 =      264781
2^7 / 3 + 4^9 / 1 + 8^5 / 6 =      267648
4^9 / 1 + 7^5 / 3 + 8^2 / 6 =      267757
2^8 / 6 + 4^9 / 1 + 7^5 / 3 =      267789
3^5 / 9 + 4^7 / 2 + 8^6 / 1 =      270363
3^8 / 6 + 4^9 / 1 + 7^5 / 2 =      271641
2^7 / 6 + 4^9 / 1 + 8^5 / 3 =      273088
2^5 / 8 + 3^4 / 9 + 6^7 / 1 =      279949
2^4 / 8 + 3^5 / 9 + 6^7 / 1 =      279965
3^5 / 9 + 4^2 / 8 + 6^7 / 1 =      279965
3^5 / 9 + 6^7 / 1 + 8^2 / 4 =      279979
2^8 / 4 + 3^5 / 9 + 6^7 / 1 =      280027
3^2 / 9 + 4^5 / 8 + 6^7 / 1 =      280065
4^5 / 8 + 6^7 / 1 + 9^2 / 3 =      280091
2^5 / 4 + 3^8 / 9 + 6^7 / 1 =      280673
3^8 / 9 + 4^5 / 2 + 6^7 / 1 =      281177
2^7 / 4 + 8^6 / 1 + 9^5 / 3 =      281859
3^5 / 9 + 6^7 / 1 + 8^4 / 2 =      282011
2^5 / 8 + 6^7 / 1 + 9^4 / 3 =      282127
1^7 / 6 + 4^9 / 3 + 5^8 / 2 =      282694
4^9 / 3 + 5^8 / 2 + 7^1 / 6 =      282695
4^8 / 2 + 5^7 / 1 + 9^6 / 3 =      288040
3^2 / 9 + 6^7 / 1 + 8^5 / 4 =      288129
6^7 / 1 + 8^5 / 4 + 9^2 / 3 =      288155
4^7 / 2 + 8^6 / 1 + 9^5 / 3 =      290019
3^4 / 9 + 6^7 / 1 + 8^5 / 2 =      296329
6^7 / 1 + 8^5 / 2 + 9^4 / 3 =      298507
2^4 / 8 + 6^7 / 1 + 9^5 / 3 =      299621
4^2 / 8 + 6^7 / 1 + 9^5 / 3 =      299621
6^7 / 1 + 8^2 / 4 + 9^5 / 3 =      299635
2^8 / 4 + 6^7 / 1 + 9^5 / 3 =      299683
6^7 / 1 + 8^4 / 2 + 9^5 / 3 =      301667
3^8 / 6 + 4^9 / 1 + 5^7 / 2 =      302300
3^5 / 9 + 4^8 / 2 + 6^7 / 1 =      312731
2^7 / 3 + 4^1 / 8 + 5^9 / 6 =      325564
5^9 / 6 + 7^4 / 2 + 8^1 / 3 =      326724
4^8 / 2 + 6^7 / 1 + 9^5 / 3 =      332387
2^9 / 4 + 5^1 / 3 + 8^7 / 6 =      349655
2^9 / 3 + 5^4 / 1 + 8^7 / 6 =      350321
2^9 / 3 + 4^5 / 1 + 8^7 / 6 =      350720
2^5 / 8 + 4^9 / 1 + 6^7 / 3 =      355460
2^5 / 3 + 8^7 / 6 + 9^4 / 1 =      356097
4^9 / 1 + 6^7 / 3 + 8^5 / 2 =      371840
2^7 / 4 + 5^8 / 1 + 6^3 / 9 =      390681
2^7 / 4 + 3^6 / 9 + 5^8 / 1 =      390738
3^7 / 9 + 5^8 / 1 + 6^2 / 4 =      390877
2^6 / 4 + 3^7 / 9 + 5^8 / 1 =      390884
3^7 / 9 + 5^8 / 1 + 6^4 / 2 =      391516
5^8 / 1 + 7^3 / 2 + 9^4 / 6 =      391890
5^8 / 1 + 7^4 / 2 + 9^3 / 6 =      391947
3^7 / 2 + 5^8 / 1 + 9^4 / 6 =      392812
3^7 / 9 + 4^6 / 2 + 5^8 / 1 =      392916
3^7 / 6 + 5^8 / 1 + 9^4 / 2 =      394270
3^9 / 6 + 5^8 / 1 + 7^4 / 2 =      395106
4^7 / 2 + 5^8 / 1 + 6^3 / 9 =      398841
3^6 / 9 + 4^7 / 2 + 5^8 / 1 =      398898
3^5 / 9 + 6^8 / 4 + 7^2 / 1 =      419980
2^7 / 1 + 3^5 / 9 + 6^8 / 4 =      420059
3^7 / 9 + 5^2 / 1 + 6^8 / 4 =      420172
2^5 / 1 + 3^7 / 9 + 6^8 / 4 =      420179
2^3 / 4 + 5^8 / 1 + 6^7 / 9 =      421731
4^3 / 2 + 5^8 / 1 + 6^7 / 9 =      421761
4^9 / 6 + 5^8 / 1 + 7^2 / 3 =      434332
3^2 / 9 + 6^8 / 4 + 7^5 / 1 =      436712
6^8 / 4 + 7^5 / 1 + 9^2 / 3 =      436738
6^8 / 4 + 7^2 / 1 + 9^5 / 3 =      439636
2^7 / 1 + 6^8 / 4 + 9^5 / 3 =      439715
3^7 / 6 + 4^9 / 1 + 5^8 / 2 =      457821
3^2 / 9 + 5^8 / 1 + 6^7 / 4 =      460610
5^8 / 1 + 6^7 / 4 + 9^2 / 3 =      460636
4^9 / 2 + 5^1 / 3 + 8^7 / 6 =      480599
2^9 / 4 + 5^8 / 1 + 6^7 / 3 =      484065
2^1 / 8 + 3^7 / 6 + 5^9 / 4 =      488646
3^2 / 9 + 5^7 / 1 + 6^8 / 4 =      498030
5^7 / 1 + 6^8 / 4 + 9^2 / 3 =      498056
5^2 / 3 + 6^1 / 9 + 8^7 / 4 =      524297
3^5 / 9 + 6^1 / 2 + 8^7 / 4 =      524318
1^9 / 2 + 3^5 / 6 + 8^7 / 4 =      524329
3^5 / 6 + 8^7 / 4 + 9^1 / 2 =      524333
5^2 / 1 + 6^3 / 9 + 8^7 / 4 =      524337
2^5 / 1 + 6^3 / 9 + 8^7 / 4 =      524344
3^5 / 9 + 6^2 / 1 + 8^7 / 4 =      524351
5^3 / 2 + 8^7 / 4 + 9^1 / 6 =      524352
2^9 / 6 + 5^1 / 3 + 8^7 / 4 =      524375
2^6 / 1 + 3^5 / 9 + 8^7 / 4 =      524379
3^6 / 9 + 5^2 / 1 + 8^7 / 4 =      524394
2^5 / 1 + 3^6 / 9 + 8^7 / 4 =      524401
1^5 / 2 + 8^7 / 4 + 9^3 / 6 =      524410
3^5 / 2 + 8^7 / 4 + 9^1 / 6 =      524411
5^1 / 2 + 8^7 / 4 + 9^3 / 6 =      524412
5^3 / 1 + 6^2 / 9 + 8^7 / 4 =      524417
3^5 / 1 + 6^2 / 9 + 8^7 / 4 =      524535
2^3 / 1 + 6^5 / 9 + 8^7 / 4 =      525160
3^2 / 1 + 6^5 / 9 + 8^7 / 4 =      525161
6^5 / 3 + 8^7 / 4 + 9^2 / 1 =      526961
2^9 / 1 + 6^5 / 3 + 8^7 / 4 =      527392
1^5 / 2 + 3^9 / 6 + 8^7 / 4 =      527569
3^9 / 6 + 5^1 / 2 + 8^7 / 4 =      527571
6^5 / 2 + 8^7 / 4 + 9^1 / 3 =      528179
6^5 / 2 + 8^7 / 4 + 9^3 / 1 =      528905
3^4 / 9 + 5^8 / 1 + 6^7 / 2 =      530602
3^2 / 9 + 6^5 / 1 + 8^7 / 4 =      532065
6^5 / 1 + 8^7 / 4 + 9^2 / 3 =      532091
5^8 / 1 + 6^7 / 2 + 9^4 / 3 =      532780
1^3 / 2 + 8^7 / 4 + 9^5 / 6 =      534130
3^1 / 2 + 8^7 / 4 + 9^5 / 6 =      534131
3^2 / 9 + 5^6 / 1 + 8^7 / 4 =      539914
5^6 / 1 + 8^7 / 4 + 9^2 / 3 =      539940
6^1 / 2 + 8^7 / 4 + 9^5 / 3 =      543974
6^2 / 1 + 8^7 / 4 + 9^5 / 3 =      544007
2^6 / 1 + 8^7 / 4 + 9^5 / 3 =      544035
3^9 / 1 + 6^5 / 2 + 8^7 / 4 =      547859
3^1 / 6 + 8^7 / 4 + 9^5 / 2 =      553813
2^7 / 4 + 5^8 / 1 + 9^6 / 3 =      567804
4^7 / 2 + 5^8 / 1 + 9^6 / 3 =      575964
2^9 / 4 + 6^8 / 3 + 7^5 / 1 =      576807
6^2 / 3 + 8^7 / 4 + 9^5 / 1 =      583349
6^3 / 2 + 8^7 / 4 + 9^5 / 1 =      583445
2^5 / 3 + 4^9 / 1 + 8^7 / 6 =      611680
4^9 / 2 + 5^8 / 1 + 6^7 / 3 =      615009
2^7 / 4 + 6^8 / 3 + 9^5 / 1 =      618953
4^7 / 2 + 6^8 / 3 + 9^5 / 1 =      627113
2^9 / 4 + 5^7 / 1 + 6^8 / 3 =      638125
2^7 / 6 + 5^9 / 3 + 8^1 / 4 =      651065
2^7 / 4 + 5^9 / 3 + 8^1 / 6 =      651075
2^1 / 6 + 4^7 / 8 + 5^9 / 3 =      653090
2^7 / 6 + 5^9 / 3 + 8^4 / 1 =      655159
4^7 / 2 + 5^9 / 3 + 8^1 / 6 =      659235
2^9 / 6 + 5^4 / 1 + 8^7 / 3 =      699761
2^9 / 6 + 4^5 / 1 + 8^7 / 3 =      700160
5^2 / 1 + 8^7 / 4 + 9^6 / 3 =      701460
2^5 / 1 + 8^7 / 4 + 9^6 / 3 =      701467
5^1 / 6 + 8^7 / 3 + 9^4 / 2 =      702332
2^5 / 6 + 8^7 / 3 + 9^4 / 1 =      705617
4^9 / 2 + 6^8 / 3 + 7^5 / 1 =      707751
2^7 / 6 + 4^8 / 1 + 5^9 / 3 =      716599
4^9 / 2 + 5^7 / 1 + 6^8 / 3 =      769069
1^5 / 2 + 4^3 / 8 + 9^7 / 6 =      797170
4^3 / 8 + 5^1 / 2 + 9^7 / 6 =      797172
2^1 / 8 + 5^3 / 4 + 9^7 / 6 =      797193
5^3 / 2 + 8^1 / 4 + 9^7 / 6 =      797226
3^5 / 2 + 8^1 / 4 + 9^7 / 6 =      797285
1^3 / 2 + 4^5 / 8 + 9^7 / 6 =      797290
1^5 / 2 + 8^3 / 4 + 9^7 / 6 =      797290
3^1 / 2 + 4^5 / 8 + 9^7 / 6 =      797291
5^1 / 2 + 8^3 / 4 + 9^7 / 6 =      797292
5^4 / 2 + 8^3 / 1 + 9^7 / 6 =      797986
3^8 / 2 + 5^4 / 1 + 9^7 / 6 =      801067
5^3 / 2 + 8^4 / 1 + 9^7 / 6 =      801320
3^5 / 2 + 8^4 / 1 + 9^7 / 6 =      801379
3^8 / 2 + 4^5 / 1 + 9^7 / 6 =      801466
3^8 / 1 + 5^4 / 2 + 9^7 / 6 =      804035
1^3 / 2 + 8^5 / 4 + 9^7 / 6 =      805354
3^1 / 2 + 8^5 / 4 + 9^7 / 6 =      805355
3^4 / 2 + 8^5 / 1 + 9^7 / 6 =      829970
3^7 / 9 + 5^4 / 1 + 6^8 / 2 =      840676
3^7 / 9 + 4^5 / 1 + 6^8 / 2 =      841075
3^5 / 9 + 6^8 / 2 + 7^4 / 1 =      842236
3^5 / 9 + 4^7 / 1 + 6^8 / 2 =      856219
3^4 / 9 + 6^8 / 2 + 7^5 / 1 =      856624
6^8 / 2 + 7^5 / 1 + 9^4 / 3 =      858802
6^8 / 2 + 7^4 / 1 + 9^5 / 3 =      861892
4^8 / 1 + 5^3 / 2 + 9^7 / 6 =      862760
3^5 / 2 + 4^8 / 1 + 9^7 / 6 =      862819
4^7 / 1 + 6^8 / 2 + 9^5 / 3 =      875875 tautonym
3^4 / 9 + 5^7 / 1 + 6^8 / 2 =      917942
5^7 / 1 + 6^8 / 2 + 9^4 / 3 =      920120
1^9 / 2 + 5^4 / 3 + 7^8 / 6 =      961009
5^4 / 3 + 7^8 / 6 + 9^1 / 2 =      961013
1^9 / 3 + 5^4 / 2 + 7^8 / 6 =      961113
3^1 / 9 + 5^4 /
  Posted by Charlie on 2009-03-03 16:22:08

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