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 2012 Equal Expressions (Posted on 2012-07-15)
Use the indicated digits along with the six symbols: parantheses, exponentiation, division, multiplication, addition and subtraction, that is: (), ^, ÷, *, + and – to make an expression equal to 2012 in each of the following.

No digit can be used more that once. The digits corresponding to a given problem can be used in any order. A given symbol can be used more than once and, using less than six distinct symbols is allowed. Concatenating two or more digits is not allowed. Only standard mathematical usage is followed – that is, multiplication does not take precedence over division, addition does not take precedence over multiplication, and so on.

For example, expressions like: 3 + 5*2 - 2^3 or, (123 + 456)/789 are NOT allowed. However, expressions like 3 + 5*8 - 2^4 + 9 are allowed.

(A) 1, 2, 4, 5, 7, 8
(B) 2, 3, 4, 5, 7, 9
(C) 1, 2, 4, 5, 6, 7
(D) 1, 3, 5, 6, 7, 9
(E) 3, 4, 8, 9
(F) 1, 2, 3, 4, 5, 9
(G) 2, 5, 6, 7, 9
(H) 3, 5, 6, 7, 9
(I) 2, 3, 6, 7, 8

 No Solution Yet Submitted by K Sengupta Rating: 1.0000 (1 votes)

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 computer solution part 2 (F thru I) | Comment 2 of 12 |
(In reply to computer solution by Charlie)

`F1,2,5++3^9-4*        ((1+2+5)^3-9)*41,2+5+3^9-4*         ((1+2+5)^3-9)*41,3+2,4,5+^9-*       (1+3)*(2^(4+5)-9)1,3+2,5,4+^9-*       (1+3)*(2^(5+4)-9)1,3+2,9^4,5+-*       (1+3)*(2^9-(4+5))1,3+2,9^4-5-*        (1+3)*(2^9-4-5)1,3+2,9^5,4+-*       (1+3)*(2^9-(5+4))1,3+2,9^5-4-*        (1+3)*(2^9-5-4)1,3+4,5^2/9-*        (1+3)*(4^5/2-9)1,3+5^2/9-4*         ((1+3)^5/2-9)*41,3+5^2*4,9*-        (1+3)^5*2-4*91,3+5^2*9,4*-        (1+3)^5*2-9*41,3-2,9*4,5^-*       (1-3)*(2*9-4^5)1,3-9,2*4,5^-*       (1-3)*(9*2-4^5)1,3-9*4,5^+2*        ((1-3)*9+4^5)*21,5,2++3^9-4*        ((1+5+2)^3-9)*41,5+2+3^9-4*         ((1+5+2)^3-9)*41,5-9,2,4*3^-*       (1-5)*(9-(2*4)^3)1,5-9,4,2*3^-*       (1-5)*(9-(4*2)^3)1,9+2^5*3+4*         ((1+9)^2*5+3)*42,1,3,5++^9-4*       (2^(1+3+5)-9)*42,1,3+5^*4,9*-       2*(1+3)^5-4*92,1,3+5^*9,4*-       2*(1+3)^5-9*42,1,3+5+^9-4*        (2^(1+3+5)-9)*42,1,3-9*4,5^+*       2*((1-3)*9+4^5)2,1,5,3++^9-4*       (2^(1+5+3)-9)*42,1,5+3+^9-4*        (2^(1+5+3)-9)*42,1,5++3^9-4*        ((2+1+5)^3-9)*42,1+5+3^9-4*         ((2+1+5)^3-9)*42,3,1,5++^9-4*       (2^(3+1+5)-9)*42,3,1+5^*4,9*-       2*(3+1)^5-4*92,3,1+5^*9,4*-       2*(3+1)^5-9*42,3,1+5+^9-4*        (2^(3+1+5)-9)*42,3,5,1++^9-4*       (2^(3+5+1)-9)*42,3,5^9+*1-4*        (2*(3^5+9)-1)*42,3,5+1+^9-4*        (2^(3+5+1)-9)*42,4,5^1,3-9*+*       2*(4^5+(1-3)*9)2,4,5^3,1-9*-*       2*(4^5-(3-1)*9)2,4,5^9,1,3-*+*      2*(4^5+9*(1-3))2,4,5^9,3,1-*-*      2*(4^5-9*(3-1))2,4,5^*1,3+9*-       2*4^5-(1+3)*92,4,5^*3,1+9*-       2*4^5-(3+1)*92,4,5^*9,1,3+*-      2*4^5-9*(1+3)2,4,5^*9,3,1+*-      2*4^5-9*(3+1)2,4,5+^9-1,3+*       (2^(4+5)-9)*(1+3)2,4,5+^9-3,1+*       (2^(4+5)-9)*(3+1)2,4*3^9-5,1-*        ((2*4)^3-9)*(5-1)2,5,1,3++^9-4*       (2^(5+1+3)-9)*42,5,1+3+^9-4*        (2^(5+1+3)-9)*42,5,1++3^9-4*        ((2+5+1)^3-9)*42,5,1-*3^9-4*        ((2*(5-1))^3-9)*42,5,3,1++^9-4*       (2^(5+3+1)-9)*42,5,3+1+^9-4*        (2^(5+3+1)-9)*42,5,4+^9-1,3+*       (2^(5+4)-9)*(1+3)2,5,4+^9-3,1+*       (2^(5+4)-9)*(3+1)2,5+1+3^9-4*         ((2+5+1)^3-9)*42,9,1,3-*4,5^+*      2*(9*(1-3)+4^5)2,9,3,5^+*1-4*       (2*(9+3^5)-1)*42,9^1,3,5++-4*       (2^9-(1+3+5))*42,9^1,3+5+-4*        (2^9-(1+3+5))*42,9^1,3+-5-4*        (2^9-(1+3)-5)*42,9^1,5,3++-4*       (2^9-(1+5+3))*42,9^1,5+3+-4*        (2^9-(1+5+3))*42,9^1,5+-3-4*        (2^9-(1+5)-3)*42,9^1-3,5+-4*        (2^9-1-(3+5))*42,9^1-3-5-4*         (2^9-1-3-5)*42,9^1-5,3+-4*        (2^9-1-(5+3))*42,9^1-5-3-4*         (2^9-1-5-3)*42,9^3,1,5++-4*       (2^9-(3+1+5))*42,9^3,1+5+-4*        (2^9-(3+1+5))*42,9^3,1+-5-4*        (2^9-(3+1)-5)*42,9^3,5,1++-4*       (2^9-(3+5+1))*42,9^3,5+1+-4*        (2^9-(3+5+1))*42,9^3,5+-1-4*        (2^9-(3+5)-1)*42,9^3-1,5+-4*        (2^9-3-(1+5))*42,9^3-1-5-4*         (2^9-3-1-5)*42,9^3-5,1+-4*        (2^9-3-(5+1))*42,9^3-5-1-4*         (2^9-3-5-1)*42,9^4,5+-1,3+*       (2^9-(4+5))*(1+3)2,9^4,5+-3,1+*       (2^9-(4+5))*(3+1)2,9^4-5-1,3+*        (2^9-4-5)*(1+3)2,9^4-5-3,1+*        (2^9-4-5)*(3+1)2,9^5,1,3++-4*       (2^9-(5+1+3))*42,9^5,1+3+-4*        (2^9-(5+1+3))*42,9^5,1+-3-4*        (2^9-(5+1)-3)*42,9^5,3,1++-4*       (2^9-(5+3+1))*42,9^5,3+1+-4*        (2^9-(5+3+1))*42,9^5,3+-1-4*        (2^9-(5+3)-1)*42,9^5,4+-1,3+*       (2^9-(5+4))*(1+3)2,9^5,4+-3,1+*       (2^9-(5+4))*(3+1)2,9^5-1,3+-4*        (2^9-5-(1+3))*42,9^5-1-3-4*         (2^9-5-1-3)*42,9^5-3,1+-4*        (2^9-5-(3+1))*42,9^5-3-1-4*         (2^9-5-3-1)*42,9^5-4-1,3+*        (2^9-5-4)*(1+3)2,9^5-4-3,1+*        (2^9-5-4)*(3+1)2,9*4,5^-1,3-*       (2*9-4^5)*(1-3)3,1,9+2^5*+4*        (3+(1+9)^2*5)*43,1+2,4,5+^9-*       (3+1)*(2^(4+5)-9)3,1+2,5,4+^9-*       (3+1)*(2^(5+4)-9)3,1+2,9^4,5+-*       (3+1)*(2^9-(4+5))3,1+2,9^4-5-*        (3+1)*(2^9-4-5)3,1+2,9^5,4+-*       (3+1)*(2^9-(5+4))3,1+2,9^5-4-*        (3+1)*(2^9-5-4)3,1+4,5^2/9-*        (3+1)*(4^5/2-9)3,1+5^2/9-4*         ((3+1)^5/2-9)*43,1+5^2*4,9*-        (3+1)^5*2-4*93,1+5^2*9,4*-        (3+1)^5*2-9*43,1-4,5^2,9*-*       (3-1)*(4^5-2*9)3,1-4,5^9,2*-*       (3-1)*(4^5-9*2)3,5,1,9+2^*+4*       (3+5*(1+9)^2)*43,5,9,1+2^*+4*       (3+5*(9+1)^2)*43,5^9+2*1-4*         ((3^5+9)*2-1)*43,5*2^1-9*4-         ((3*5)^2-1)*9-43,5+1,2+^9-4*        ((3+5)^(1+2)-9)*43,5+2,1+^9-4*        ((3+5)^(2+1)-9)*43,9,1+2^5*+4*        (3+(9+1)^2*5)*44,1,2,5++3^9-*       4*((1+2+5)^3-9)4,1,2+5+3^9-*        4*((1+2+5)^3-9)4,1,3+5^2/9-*        4*((1+3)^5/2-9)4,1,5,2++3^9-*       4*((1+5+2)^3-9)4,1,5+2+3^9-*        4*((1+5+2)^3-9)4,1,9+2^5*3+*        4*((1+9)^2*5+3)4,2,1,3,5++^9-*      4*(2^(1+3+5)-9)4,2,1,3+5+^9-*       4*(2^(1+3+5)-9)4,2,1,5,3++^9-*      4*(2^(1+5+3)-9)4,2,1,5+3+^9-*       4*(2^(1+5+3)-9)4,2,1,5++3^9-*       4*((2+1+5)^3-9)4,2,1+5+3^9-*        4*((2+1+5)^3-9)4,2,3,1,5++^9-*      4*(2^(3+1+5)-9)4,2,3,1+5+^9-*       4*(2^(3+1+5)-9)4,2,3,5,1++^9-*      4*(2^(3+5+1)-9)4,2,3,5^9+*1-*       4*(2*(3^5+9)-1)4,2,3,5+1+^9-*       4*(2^(3+5+1)-9)4,2,5,1,3++^9-*      4*(2^(5+1+3)-9)4,2,5,1+3+^9-*       4*(2^(5+1+3)-9)4,2,5,1++3^9-*       4*((2+5+1)^3-9)4,2,5,1-*3^9-*       4*((2*(5-1))^3-9)4,2,5,3,1++^9-*      4*(2^(5+3+1)-9)4,2,5,3+1+^9-*       4*(2^(5+3+1)-9)4,2,5+1+3^9-*        4*((2+5+1)^3-9)4,2,9,3,5^+*1-*      4*(2*(9+3^5)-1)4,2,9^1,3,5++-*      4*(2^9-(1+3+5))4,2,9^1,3+5+-*       4*(2^9-(1+3+5))4,2,9^1,3+-5-*       4*(2^9-(1+3)-5)4,2,9^1,5,3++-*      4*(2^9-(1+5+3))4,2,9^1,5+3+-*       4*(2^9-(1+5+3))4,2,9^1,5+-3-*       4*(2^9-(1+5)-3)4,2,9^1-3,5+-*       4*(2^9-1-(3+5))4,2,9^1-3-5-*        4*(2^9-1-3-5)4,2,9^1-5,3+-*       4*(2^9-1-(5+3))4,2,9^1-5-3-*        4*(2^9-1-5-3)4,2,9^3,1,5++-*      4*(2^9-(3+1+5))4,2,9^3,1+5+-*       4*(2^9-(3+1+5))4,2,9^3,1+-5-*       4*(2^9-(3+1)-5)4,2,9^3,5,1++-*      4*(2^9-(3+5+1))4,2,9^3,5+1+-*       4*(2^9-(3+5+1))4,2,9^3,5+-1-*       4*(2^9-(3+5)-1)4,2,9^3-1,5+-*       4*(2^9-3-(1+5))4,2,9^3-1-5-*        4*(2^9-3-1-5)4,2,9^3-5,1+-*       4*(2^9-3-(5+1))4,2,9^3-5-1-*        4*(2^9-3-5-1)4,2,9^5,1,3++-*      4*(2^9-(5+1+3))4,2,9^5,1+3+-*       4*(2^9-(5+1+3))4,2,9^5,1+-3-*       4*(2^9-(5+1)-3)4,2,9^5,3,1++-*      4*(2^9-(5+3+1))4,2,9^5,3+1+-*       4*(2^9-(5+3+1))4,2,9^5,3+-1-*       4*(2^9-(5+3)-1)4,2,9^5-1,3+-*       4*(2^9-5-(1+3))4,2,9^5-1-3-*        4*(2^9-5-1-3)4,2,9^5-3,1+-*       4*(2^9-5-(3+1))4,2,9^5-3-1-*        4*(2^9-5-3-1)4,2*3^9-5,1-*        ((4*2)^3-9)*(5-1)4,3,1,9+2^5*+*       4*(3+(1+9)^2*5)4,3,1+5^2/9-*        4*((3+1)^5/2-9)4,3,5,1,9+2^*+*      4*(3+5*(1+9)^2)4,3,5,9,1+2^*+*      4*(3+5*(9+1)^2)4,3,5^9+2*1-*        4*((3^5+9)*2-1)4,3,5+1,2+^9-*       4*((3+5)^(1+2)-9)4,3,5+2,1+^9-*       4*((3+5)^(2+1)-9)4,3,9,1+2^5*+*       4*(3+(9+1)^2*5)4,5,1,2++3^9-*       4*((5+1+2)^3-9)4,5,1,9+2^*3+*       4*(5*(1+9)^2+3)4,5,1+2+3^9-*        4*((5+1+2)^3-9)4,5,1-2*3^9-*        4*(((5-1)*2)^3-9)4,5,2,1++3^9-*       4*((5+2+1)^3-9)4,5,2+1+3^9-*        4*((5+2+1)^3-9)4,5,3+1,2+^9-*       4*((5+3)^(1+2)-9)4,5,3+2,1+^9-*       4*((5+3)^(2+1)-9)4,5,9,1+2^*3+*       4*(5*(9+1)^2+3)4,5^1,3-9*+2*        (4^5+(1-3)*9)*24,5^2,9*-3,1-*       (4^5-2*9)*(3-1)4,5^2/9-1,3+*        (4^5/2-9)*(1+3)4,5^2/9-3,1+*        (4^5/2-9)*(3+1)4,5^2*1,3+9*-        4^5*2-(1+3)*94,5^2*3,1+9*-        4^5*2-(3+1)*94,5^2*9,1,3+*-       4^5*2-9*(1+3)4,5^2*9,3,1+*-       4^5*2-9*(3+1)4,5^3,1-9*-2*        (4^5-(3-1)*9)*24,5^9,1,3-*+2*       (4^5+9*(1-3))*24,5^9,2*-3,1-*       (4^5-9*2)*(3-1)4,5^9,3,1-*-2*       (4^5-9*(3-1))*24,9,1+2^5*3+*        4*((9+1)^2*5+3)4,9,3,5^+2*1-*       4*((9+3^5)*2-1)5,1,2++3^9-4*        ((5+1+2)^3-9)*45,1,9+2^*3+4*        (5*(1+9)^2+3)*45,1+2+3^9-4*         ((5+1+2)^3-9)*45,1-2,4*3^9-*        (5-1)*((2*4)^3-9)5,1-2*3^9-4*         (((5-1)*2)^3-9)*45,1-4,2*3^9-*        (5-1)*((4*2)^3-9)5,2,1++3^9-4*        ((5+2+1)^3-9)*45,2+1+3^9-4*         ((5+2+1)^3-9)*45,3*2^1-9*4-         ((5*3)^2-1)*9-45,3+1,2+^9-4*        ((5+3)^(1+2)-9)*45,3+2,1+^9-4*        ((5+3)^(2+1)-9)*45,9,1+2^*3+4*        (5*(9+1)^2+3)*45,9*2^1,3,4*+-       (5*9)^2-(1+3*4)5,9*2^1,4,3*+-       (5*9)^2-(1+4*3)5,9*2^1-3,4*-        (5*9)^2-1-3*45,9*2^1-4,3*-        (5*9)^2-1-4*35,9*2^3,4*1+-        (5*9)^2-(3*4+1)5,9*2^3,4*-1-        (5*9)^2-3*4-15,9*2^4,3*1+-        (5*9)^2-(4*3+1)5,9*2^4,3*-1-        (5*9)^2-4*3-19,1,3-*4,5^+2*       (9*(1-3)+4^5)*29,1+2^5*3+4*         ((9+1)^2*5+3)*49,2,4*3^-1,5-*       (9-(2*4)^3)*(1-5)9,2*4,5^-1,3-*       (9*2-4^5)*(1-3)9,3,5^+2*1-4*        ((9+3^5)*2-1)*49,3,5*2^1-*4-        9*((3*5)^2-1)-49,4,2*3^-1,5-*       (9-(4*2)^3)*(1-5)9,5,3*2^1-*4-        9*((5*3)^2-1)-49,5*2^1,3,4*+-       (9*5)^2-(1+3*4)9,5*2^1,4,3*+-       (9*5)^2-(1+4*3)9,5*2^1-3,4*-        (9*5)^2-1-3*49,5*2^1-4,3*-        (9*5)^2-1-4*39,5*2^3,4*1+-        (9*5)^2-(3*4+1)9,5*2^3,4*-1-        (9*5)^2-3*4-19,5*2^4,3*1+-        (9*5)^2-(4*3+1)9,5*2^4,3*-1-        (9*5)^2-4*3-1G5,9*2^6,7+-          (5*9)^2-(6+7)5,9*2^6-7-           (5*9)^2-6-75,9*2^7,6+-          (5*9)^2-(7+6)5,9*2^7-6-           (5*9)^2-7-69,5*2^6,7+-          (9*5)^2-(6+7)9,5*2^6-7-           (9*5)^2-6-79,5*2^7,6+-          (9*5)^2-(7+6)9,5*2^7-6-           (9*5)^2-7-6H5,6,3^7+9*+          5+(6^3+7)*95,7,6,3^+9*+         5+(7+6^3)*95,9,6,3^7+*+         5+9*(6^3+7)5,9,7,6,3^+*+        5+9*(7+6^3)6,3^7+9*5+           (6^3+7)*9+57,6,3^+9*5+          (7+6^3)*9+59,6,3^7+*5+          9*(6^3+7)+59,7,6,3^+*5+         9*(7+6^3)+5I2,6,7,3^8-*+         2+6*(7^3-8)2,6,8,7,3^-*-        2-6*(8-7^3)2,7,3^8-6*+          2+(7^3-8)*62,8,7,3^-6*-         2-(8-7^3)*66,7,3^8-*2+          6*(7^3-8)+27,3^8-6*2+           (7^3-8)*6+2`

 Posted by Charlie on 2012-07-15 16:03:15

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