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| 2012 Equal Expressions (Posted on 2012-07-15) |
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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
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No Solution Yet
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Submitted by K Sengupta
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Rating: 1.0000 (1 votes)
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computer solution part 2 (F thru I)
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 | Comment 2 of 12 | 
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(In reply to computer solution by Charlie)
F
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+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)*4
1,3+5^2*4,9*- (1+3)^5*2-4*9
1,3+5^2*9,4*- (1+3)^5*2-9*4
1,3-2,9*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)*2
1,5,2++3^9-4* ((1+5+2)^3-9)*4
1,5+2+3^9-4* ((1+5+2)^3-9)*4
1,5-9,2,4*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)*4
2,1,3,5++^9-4* (2^(1+3+5)-9)*4
2,1,3+5^*4,9*- 2*(1+3)^5-4*9
2,1,3+5^*9,4*- 2*(1+3)^5-9*4
2,1,3+5+^9-4* (2^(1+3+5)-9)*4
2,1,3-9*4,5^+* 2*((1-3)*9+4^5)
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^*4,9*- 2*(3+1)^5-4*9
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
2,4,5^1,3-9*+* 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)*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+^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)*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
2,5,4+^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)*4
2,9,1,3-*4,5^+* 2*(9*(1-3)+4^5)
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
2,9^4,5+-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))*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
2,9^5,4+-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))*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
2,9^5-4-1,3+* (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)*4
3,1+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)*4
3,1+5^2*4,9*- (3+1)^5*2-4*9
3,1+5^2*9,4*- (3+1)^5*2-9*4
3,1-4,5^2,9*-* (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)*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*2^1-9*4- ((3*5)^2-1)*9-4
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
4,1,2,5++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)*2
4,5^2,9*-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)*9
4,5^2*3,1+9*- 4^5*2-(3+1)*9
4,5^2*9,1,3+*- 4^5*2-9*(1+3)
4,5^2*9,3,1+*- 4^5*2-9*(3+1)
4,5^3,1-9*-2* (4^5-(3-1)*9)*2
4,5^9,1,3-*+2* (4^5+9*(1-3))*2
4,5^9,2*-3,1-* (4^5-9*2)*(3-1)
4,5^9,3,1-*-2* (4^5-9*(3-1))*2
4,9,1+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)*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
5,1-2,4*3^9-* (5-1)*((2*4)^3-9)
5,1-2*3^9-4* (((5-1)*2)^3-9)*4
5,1-4,2*3^9-* (5-1)*((4*2)^3-9)
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*2^1-9*4- ((5*3)^2-1)*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
5,9*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*4
5,9*2^1-4,3*- (5*9)^2-1-4*3
5,9*2^3,4*1+- (5*9)^2-(3*4+1)
5,9*2^3,4*-1- (5*9)^2-3*4-1
5,9*2^4,3*1+- (5*9)^2-(4*3+1)
5,9*2^4,3*-1- (5*9)^2-4*3-1
9,1,3-*4,5^+2* (9*(1-3)+4^5)*2
9,1+2^5*3+4* ((9+1)^2*5+3)*4
9,2,4*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)*4
9,3,5*2^1-*4- 9*((3*5)^2-1)-4
9,4,2*3^-1,5-* (9-(4*2)^3)*(1-5)
9,5,3*2^1-*4- 9*((5*3)^2-1)-4
9,5*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*4
9,5*2^1-4,3*- (9*5)^2-1-4*3
9,5*2^3,4*1+- (9*5)^2-(3*4+1)
9,5*2^3,4*-1- (9*5)^2-3*4-1
9,5*2^4,3*1+- (9*5)^2-(4*3+1)
9,5*2^4,3*-1- (9*5)^2-4*3-1
G
5,9*2^6,7+- (5*9)^2-(6+7)
5,9*2^6-7- (5*9)^2-6-7
5,9*2^7,6+- (5*9)^2-(7+6)
5,9*2^7-6- (5*9)^2-7-6
9,5*2^6,7+- (9*5)^2-(6+7)
9,5*2^6-7- (9*5)^2-6-7
9,5*2^7,6+- (9*5)^2-(7+6)
9,5*2^7-6- (9*5)^2-7-6
H
5,6,3^7+9*+ 5+(6^3+7)*9
5,7,6,3^+9*+ 5+(7+6^3)*9
5,9,6,3^7+*+ 5+9*(6^3+7)
5,9,7,6,3^+*+ 5+9*(7+6^3)
6,3^7+9*5+ (6^3+7)*9+5
7,6,3^+9*5+ (7+6^3)*9+5
9,6,3^7+*5+ 9*(6^3+7)+5
9,7,6,3^+*5+ 9*(7+6^3)+5
I
2,6,7,3^8-*+ 2+6*(7^3-8)
2,6,8,7,3^-*- 2-6*(8-7^3)
2,7,3^8-6*+ 2+(7^3-8)*6
2,8,7,3^-6*- 2-(8-7^3)*6
6,7,3^8-*2+ 6*(7^3-8)+2
7,3^8-6*2+ (7^3-8)*6+2
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Posted by Charlie
on 2012-07-15 16:03:15 |
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