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
DECLARE SUB addOn ()
DECLARE FUNCTION log10# (x#)
DEFDBL A-Z
CLEAR , , 25000
DIM SHARED digs$, hist$, stack(10), stackTop, used(9), l10
l10 = LOG(10)
CLS
OPEN "2012 equal exp.txt" FOR OUTPUT AS #2
DATA 124578
DATA 234579
DATA 124567
DATA 135679
DATA 3489
DATA 123459
DATA 25679
DATA 35679
DATA 23678
FOR partNo = 1 TO 9
PRINT MID$("ABCDEFGHI", partNo, 1)
PRINT #2, MID$("ABCDEFGHI", partNo, 1)
READ digs$
hist$ = ""
stackTop = 0
addOn
NEXT partNo
END
SUB addOn
FOR i = 1 TO LEN(digs$)
d = VAL(MID$(digs$, i, 1))
IF used(d) = 0 THEN
used(d) = 1
stackTop = stackTop + 1
stack(stackTop) = d
hist$ = hist$ + MID$(digs$, i, 1)
addOn
hist$ = LEFT$(hist$, LEN(hist$) - 1)
stackTop = stackTop - 1
used(d) = 0
END IF
NEXT
IF stackTop > 1 THEN
FOR i = 1 TO 5
stSave = stackTop
stvSave = stack(stackTop)
st2Save = stack(stackTop - 1)
good = 1
SELECT CASE i
CASE 1 ' ^
bs = stack(stackTop - 1)
ex = stack(stackTop)
IF bs < 0 AND ex <> INT(ex) THEN good = 0
IF good THEN
IF bs = 0 OR bs = 1 THEN
ans = bs
ELSE
IF ex * log10(ABS(bs)) > 99 OR bs < 0 AND ex * log10(ABS(bs)) > 10 OR bs < 0 AND ABS(ex) > 10000# THEN
good = 0
ELSE
ans = bs ^ ex
END IF
END IF
IF ABS(ans) > 1D+199 THEN good = 0
IF good THEN
stackTop = stackTop - 1
stack(stackTop) = ans
hist$ = hist$ + "^"
END IF
END IF
CASE 2 ' /
IF ABS(stack(stackTop)) < 1D-99 THEN good = 0
IF good THEN
stackTop = stackTop - 1
stack(stackTop) = stack(stackTop) / stack(stackTop + 1)
hist$ = hist$ + "/"
END IF
CASE 3 ' *
stackTop = stackTop - 1
stack(stackTop) = stack(stackTop) * stack(stackTop + 1)
hist$ = hist$ + "*"
CASE 4 ' +
stackTop = stackTop - 1
stack(stackTop) = stack(stackTop) + stack(stackTop + 1)
hist$ = hist$ + "+"
CASE 5 ' -
stackTop = stackTop - 1
stack(stackTop) = stack(stackTop) - stack(stackTop + 1)
hist$ = hist$ + "-"
END SELECT
IF good THEN
IF LEN(hist$) >= 2 * LEN(digs$) - 1 THEN
IF stackTop = 1 AND stack(1) = 2012 THEN PRINT hist$: PRINT #2, hist$
ELSE
addOn
END IF
hist$ = LEFT$(hist$, LEN(hist$) - 1)
END IF
stackTop = stSave
stack(stackTop) = stvSave
stack(stackTop - 1) = st2Save
NEXT
END IF
END SUB
FUNCTION log10 (x)
IF x = 0 THEN
log10 = -9.000000000000001D+100
ELSE
log10 = LOG(x) / l10
END IF
END FUNCTION
was run under QB64 for speed.
The output was in Reverse Polish Notation.
Another program translated the RPN to algebraic notation after inserting commas between adjacent digits, to signify the equivalent of Enter on a calculator.
No attempt was made to filter out multiple equivalent formulations, and in fact, some formulae that differ in RPN are the same when converted to algebraic, as in the first two entries below for part A. In the first row, the 7 was multiplied by the 8 before multiplying that result by the (1+5)^2; in the second row the 7 was multiplied by the (1+5)^2 before multiplication by 8. By associativity they are the same and the algebraic versions are identical. Later on, other variations that are not quite as exact even in algebraic notation occur, such as 7*8*(1+5)^2-4.
I've gone through the output and don't find any occurrences of multiplication being taken as precedent over division, but if you find any, just put parentheses around the multiplication in the denominator.
A
1,5+2^7,8**4- (1+5)^2*7*8-4
1,5+2^7*8*4- (1+5)^2*7*8-4
1,5+2^8,7**4- (1+5)^2*8*7-4
1,5+2^8*7*4- (1+5)^2*8*7-4
1,7+2,8^5-*4+ (1+7)*(2^8-5)+4
1,8+2,5^7**4- (1+8)*2^5*7-4
1,8+2,5^*7*4- (1+8)*2^5*7-4
1,8+7,2,5^**4- (1+8)*7*2^5-4
1,8+7*2,5^*4- (1+8)*7*2^5-4
2,1,7+^5-8*4+ (2^(1+7)-5)*8+4
2,5^1,8+7**4- 2^5*(1+8)*7-4
2,5^1,8+*7*4- 2^5*(1+8)*7-4
2,5^7,1,8+**4- 2^5*7*(1+8)-4
2,5^7,8,1+**4- 2^5*7*(8+1)-4
2,5^7*1,8+*4- 2^5*7*(1+8)-4
2,5^7*8,1+*4- 2^5*7*(8+1)-4
2,5^8,1+7**4- 2^5*(8+1)*7-4
2,5^8,1+*7*4- 2^5*(8+1)*7-4
2,7,1+^5-8*4+ (2^(7+1)-5)*8+4
2,8^5-1,7+*4+ (2^8-5)*(1+7)+4
2,8^5-7,1+*4+ (2^8-5)*(7+1)+4
4,1,7+2,8^5-*+ 4+(1+7)*(2^8-5)
4,1,7+5,2,8^-*- 4-(1+7)*(5-2^8)
4,2,1,7+^5-8*+ 4+(2^(1+7)-5)*8
4,2,7,1+^5-8*+ 4+(2^(7+1)-5)*8
4,2,8^5-1,7+*+ 4+(2^8-5)*(1+7)
4,2,8^5-7,1+*+ 4+(2^8-5)*(7+1)
4,5,2,1,7+^-8*- 4-(5-2^(1+7))*8
4,5,2,7,1+^-8*- 4-(5-2^(7+1))*8
4,5,2,8^-1,7+*- 4-(5-2^8)*(1+7)
4,5,2,8^-7,1+*- 4-(5-2^8)*(7+1)
4,7,1+2,8^5-*+ 4+(7+1)*(2^8-5)
4,7,1+5,2,8^-*- 4-(7+1)*(5-2^8)
4,7^8/1,5+2^- 4^7/8-(1+5)^2
4,7^8/5,1+2^- 4^7/8-(5+1)^2
4,8,2,1,7+^5-*+ 4+8*(2^(1+7)-5)
4,8,2,7,1+^5-*+ 4+8*(2^(7+1)-5)
4,8,5,2,1,7+^-*- 4-8*(5-2^(1+7))
4,8,5,2,7,1+^-*- 4-8*(5-2^(7+1))
5,1+2^7,8**4- (5+1)^2*7*8-4
5,1+2^7*8*4- (5+1)^2*7*8-4
5,1+2^8,7**4- (5+1)^2*8*7-4
5,1+2^8*7*4- (5+1)^2*8*7-4
7,1,5+2^8**4- 7*(1+5)^2*8-4
7,1,5+2^*8*4- 7*(1+5)^2*8-4
7,1,8+2,5^**4- 7*(1+8)*2^5-4
7,1,8+*2,5^*4- 7*(1+8)*2^5-4
7,1+2,8^5-*4+ (7+1)*(2^8-5)+4
7,2,5^1,8+**4- 7*2^5*(1+8)-4
7,2,5^8,1+**4- 7*2^5*(8+1)-4
7,2,5^*1,8+*4- 7*2^5*(1+8)-4
7,2,5^*8,1+*4- 7*2^5*(8+1)-4
7,5,1+2^8**4- 7*(5+1)^2*8-4
7,5,1+2^*8*4- 7*(5+1)^2*8-4
7,8,1,5+2^**4- 7*8*(1+5)^2-4
7,8,1+2,5^**4- 7*(8+1)*2^5-4
7,8,1+*2,5^*4- 7*(8+1)*2^5-4
7,8,5,1+2^**4- 7*8*(5+1)^2-4
7,8*1,5+2^*4- 7*8*(1+5)^2-4
7,8*5,1+2^*4- 7*8*(5+1)^2-4
8,1,5+2^7**4- 8*(1+5)^2*7-4
8,1,5+2^*7*4- 8*(1+5)^2*7-4
8,1+2,5^7**4- (8+1)*2^5*7-4
8,1+2,5^*7*4- (8+1)*2^5*7-4
8,1+7,2,5^**4- (8+1)*7*2^5-4
8,1+7*2,5^*4- (8+1)*7*2^5-4
8,2,1,7+^5-*4+ 8*(2^(1+7)-5)+4
8,2,7,1+^5-*4+ 8*(2^(7+1)-5)+4
8,4^2/1,5,7*+- 8^4/2-(1+5*7)
8,4^2/1,7,5*+- 8^4/2-(1+7*5)
8,4^2/1-5,7*- 8^4/2-1-5*7
8,4^2/1-7,5*- 8^4/2-1-7*5
8,4^2/5,7*1+- 8^4/2-(5*7+1)
8,4^2/5,7*-1- 8^4/2-5*7-1
8,4^2/7,5*1+- 8^4/2-(7*5+1)
8,4^2/7,5*-1- 8^4/2-7*5-1
8,5,1+2^7**4- 8*(5+1)^2*7-4
8,5,1+2^*7*4- 8*(5+1)^2*7-4
8,7,1,5+2^**4- 8*7*(1+5)^2-4
8,7,5,1+2^**4- 8*7*(5+1)^2-4
8,7*1,5+2^*4- 8*7*(1+5)^2-4
8,7*5,1+2^*4- 8*7*(5+1)^2-4
B
2,3,7,5-^^9-4* (2^3^(7-5)-9)*4
2,4,5^*3,7-9*+ 2*4^5+(3-7)*9
2,4,5^*7,3-9*- 2*4^5-(7-3)*9
2,4,5^*9,3,7-*+ 2*4^5+9*(3-7)
2,4,5^*9,7,3-*- 2*4^5-9*(7-3)
2,4,5+^9-7,3-* (2^(4+5)-9)*(7-3)
2,4+3^7+9*5+ ((2+4)^3+7)*9+5
2,5,3,7--^9-4* (2^(5-(3-7))-9)*4
2,5,3-7+^9-4* (2^(5-3+7)-9)*4
2,5,4+^9-7,3-* (2^(5+4)-9)*(7-3)
2,5,7,3-+^9-4* (2^(5+7-3)-9)*4
2,5,7+3-^9-4* (2^(5+7-3)-9)*4
2,7,3,5--^9-4* (2^(7-(3-5))-9)*4
2,7,3-5^*4,9*- 2*(7-3)^5-4*9
2,7,3-5^*9,4*- 2*(7-3)^5-9*4
2,7,3-5+^9-4* (2^(7-3+5)-9)*4
2,7,5,3-+^9-4* (2^(7+5-3)-9)*4
2,7,5+3-^9-4* (2^(7+5-3)-9)*4
2,7^3,5,4^*9++ 2^7+3*5^4+9
2,7^3,5,4^*+9+ 2^7+3*5^4+9
2,7^5,4^3*9++ 2^7+5^4*3+9
2,7^5,4^3*+9+ 2^7+5^4*3+9
2,7^9,3,5,4^*++ 2^7+9+3*5^4
2,7^9,5,4^3*++ 2^7+9+5^4*3
2,7^9+3,5,4^*+ 2^7+9+3*5^4
2,7^9+5,4^3*+ 2^7+9+5^4*3
2,9^3,5,7+-+4* (2^9+3-(5+7))*4
2,9^3,5-7-+4* (2^9+3-5-7)*4
2,9^3,5-+7-4* (2^9+3-5-7)*4
2,9^3,7,5+-+4* (2^9+3-(7+5))*4
2,9^3,7,5-^-4* (2^9-3^(7-5))*4
2,9^3,7-5-+4* (2^9+3-7-5)*4
2,9^3,7-+5-4* (2^9+3-7-5)*4
2,9^3+5,7+-4* (2^9+3-(5+7))*4
2,9^3+5-7-4* (2^9+3-5-7)*4
2,9^3+7,5+-4* (2^9+3-(7+5))*4
2,9^3+7-5-4* (2^9+3-7-5)*4
2,9^4,5+-7,3-* (2^9-(4+5))*(7-3)
2,9^4*3,5,7+*- 2^9*4-3*(5+7)
2,9^4*3,7,5+*- 2^9*4-3*(7+5)
2,9^4*5,7+3*- 2^9*4-(5+7)*3
2,9^4*7,5+3*- 2^9*4-(7+5)*3
2,9^4-5-7,3-* (2^9-4-5)*(7-3)
2,9^5,3,7---4* (2^9-(5-(3-7)))*4
2,9^5,3-7+-4* (2^9-(5-3+7))*4
2,9^5,3--7-4* (2^9-(5-3)-7)*4
2,9^5,4+-7,3-* (2^9-(5+4))*(7-3)
2,9^5,7,3-+-4* (2^9-(5+7-3))*4
2,9^5,7+3--4* (2^9-(5+7-3))*4
2,9^5,7+-3+4* (2^9-(5+7)+3)*4
2,9^5-3,7-+4* (2^9-5+3-7)*4
2,9^5-3+7-4* (2^9-5+3-7)*4
2,9^5-4-7,3-* (2^9-5-4)*(7-3)
2,9^5-7,3--4* (2^9-5-(7-3))*4
2,9^5-7-3+4* (2^9-5-7+3)*4
2,9^7,3,5---4* (2^9-(7-(3-5)))*4
2,9^7,3-5+-4* (2^9-(7-3+5))*4
2,9^7,3--5-4* (2^9-(7-3)-5)*4
2,9^7,5,3-+-4* (2^9-(7+5-3))*4
2,9^7,5+3--4* (2^9-(7+5-3))*4
2,9^7,5+-3+4* (2^9-(7+5)+3)*4
2,9^7-3,5-+4* (2^9-7+3-5)*4
2,9^7-3+5-4* (2^9-7+3-5)*4
2,9^7-4*3,5+- (2^9-7)*4-(3+5)
2,9^7-4*3-5- (2^9-7)*4-3-5
2,9^7-4*5,3+- (2^9-7)*4-(5+3)
2,9^7-4*5-3- (2^9-7)*4-5-3
2,9^7-5,3--4* (2^9-7-(5-3))*4
2,9^7-5-3+4* (2^9-7-5+3)*4
3,2,9^5,7+-+4* (3+2^9-(5+7))*4
3,2,9^5-7-+4* (3+2^9-5-7)*4
3,2,9^5-+7-4* (3+2^9-5-7)*4
3,2,9^7,5+-+4* (3+2^9-(7+5))*4
3,2,9^7-5-+4* (3+2^9-7-5)*4
3,2,9^7-+5-4* (3+2^9-7-5)*4
3,2,9^+5,7+-4* (3+2^9-(5+7))*4
3,2,9^+5-7-4* (3+2^9-5-7)*4
3,2,9^+7,5+-4* (3+2^9-(7+5))*4
3,2,9^+7-5-4* (3+2^9-7-5)*4
3,4,5,9*-7,2^*- 3-(4-5*9)*7^2
3,4,9,5*-7,2^*- 3-(4-9*5)*7^2
3,4,9*5+7,2^*+ 3+(4*9+5)*7^2
3,5,2,9^7---4* (3-(5-(2^9-7)))*4
3,5,2,9^-7+-4* (3-(5-2^9+7))*4
3,5,2,9^--7-4* (3-(5-2^9)-7)*4
3,5,4,9*+7,2^*+ 3+(5+4*9)*7^2
3,5,4^*2,7^9++ 3*5^4+2^7+9
3,5,4^*2,7^+9+ 3*5^4+2^7+9
3,5,4^*9,2,7^++ 3*5^4+9+2^7
3,5,4^*9+2,7^+ 3*5^4+9+2^7
3,5,7,2,9^-+-4* (3-(5+7-2^9))*4
3,5,7+2,9^--4* (3-(5+7-2^9))*4
3,5,7+-2,9^+4* (3-(5+7)+2^9)*4
3,5,9,4*+7,2^*+ 3+(5+9*4)*7^2
3,5,9*4-7,2^*+ 3+(5*9-4)*7^2
3,5-2,9^7-+4* (3-5+2^9-7)*4
3,5-2,9^+7-4* (3-5+2^9-7)*4
3,5-7,2,9^--4* (3-5-(7-2^9))*4
3,5-7-2,9^+4* (3-5-7+2^9)*4
3,7,2,9^5---4* (3-(7-(2^9-5)))*4
3,7,2,9^-5+-4* (3-(7-2^9+5))*4
3,7,2,9^--5-4* (3-(7-2^9)-5)*4
3,7,2^4,5,9*-*- 3-7^2*(4-5*9)
3,7,2^4,9,5*-*- 3-7^2*(4-9*5)
3,7,2^4,9*5+*+ 3+7^2*(4*9+5)
3,7,2^5,4,9*+*+ 3+7^2*(5+4*9)
3,7,2^5,9,4*+*+ 3+7^2*(5+9*4)
3,7,2^5,9*4-*+ 3+7^2*(5*9-4)
3,7,2^9,4*5+*+ 3+7^2*(9*4+5)
3,7,2^9,5*4-*+ 3+7^2*(9*5-4)
3,7,5,2,9^-+-4* (3-(7+5-2^9))*4
3,7,5+2,9^--4* (3-(7+5-2^9))*4
3,7,5+-2,9^+4* (3-(7+5)+2^9)*4
3,7-2,9^5-+4* (3-7+2^9-5)*4
3,7-2,9^+5-4* (3-7+2^9-5)*4
3,7-4,2,9^5--* (3-7)*(4-(2^9-5))
3,7-4,2,9^-5+* (3-7)*(4-2^9+5)
3,7-4,5,2,9^-+* (3-7)*(4+5-2^9)
3,7-4,5+2,9^-* (3-7)*(4+5-2^9)
3,7-5,2,9^4--* (3-7)*(5-(2^9-4))
3,7-5,2,9^-4+* (3-7)*(5-2^9+4)
3,7-5,2,9^--4* (3-7-(5-2^9))*4
3,7-5,4,2,9^-+* (3-7)*(5+4-2^9)
3,7-5,4+2,9^-* (3-7)*(5+4-2^9)
3,7-5-2,9^+4* (3-7-5+2^9)*4
3,7-9,2,4,5+^-* (3-7)*(9-2^(4+5))
3,7-9,2,5,4+^-* (3-7)*(9-2^(5+4))
3,7-9,4,5^2/-* (3-7)*(9-4^5/2)
3,7-9*2,4,5^*+ (3-7)*9+2*4^5
3,7-9*4,5^2*+ (3-7)*9+4^5*2
3,9,4*5+7,2^*+ 3+(9*4+5)*7^2
3,9,5*4-7,2^*+ 3+(9*5-4)*7^2
4,2,3,7,5-^^9-* 4*(2^3^(7-5)-9)
4,2,5,3,7--^9-* 4*(2^(5-(3-7))-9)
4,2,5,3-7+^9-* 4*(2^(5-3+7)-9)
4,2,5,7,3-+^9-* 4*(2^(5+7-3)-9)
4,2,5,7+3-^9-* 4*(2^(5+7-3)-9)
4,2,7,3,5--^9-* 4*(2^(7-(3-5))-9)
4,2,7,3-5+^9-* 4*(2^(7-3+5)-9)
4,2,7,5,3-+^9-* 4*(2^(7+5-3)-9)
4,2,7,5+3-^9-* 4*(2^(7+5-3)-9)
4,2,9^3,5,7+-+* 4*(2^9+3-(5+7))
4,2,9^3,5-7-+* 4*(2^9+3-5-7)
4,2,9^3,5-+7-* 4*(2^9+3-5-7)
4,2,9^3,7,5+-+* 4*(2^9+3-(7+5))
4,2,9^3,7,5-^-* 4*(2^9-3^(7-5))
4,2,9^3,7-5-+* 4*(2^9+3-7-5)
4,2,9^3,7-+5-* 4*(2^9+3-7-5)
4,2,9^3+5,7+-* 4*(2^9+3-(5+7))
4,2,9^3+5-7-* 4*(2^9+3-5-7)
4,2,9^3+7,5+-* 4*(2^9+3-(7+5))
4,2,9^3+7-5-* 4*(2^9+3-7-5)
4,2,9^5,3,7---* 4*(2^9-(5-(3-7)))
4,2,9^5,3-7+-* 4*(2^9-(5-3+7))
4,2,9^5,3--7-* 4*(2^9-(5-3)-7)
4,2,9^5,7,3-+-* 4*(2^9-(5+7-3))
4,2,9^5,7+3--* 4*(2^9-(5+7-3))
4,2,9^5,7+-3+* 4*(2^9-(5+7)+3)
4,2,9^5-3,7-+* 4*(2^9-5+3-7)
4,2,9^5-3+7-* 4*(2^9-5+3-7)
4,2,9^5-7,3--* 4*(2^9-5-(7-3))
4,2,9^5-7-3+* 4*(2^9-5-7+3)
4,2,9^5--3,7-* (4-(2^9-5))*(3-7)
4,2,9^7,3,5---* 4*(2^9-(7-(3-5)))
4,2,9^7,3-5+-* 4*(2^9-(7-3+5))
4,2,9^7,3--5-* 4*(2^9-(7-3)-5)
4,2,9^7,5,3-+-* 4*(2^9-(7+5-3))
4,2,9^7,5+3--* 4*(2^9-(7+5-3))
4,2,9^7,5+-3+* 4*(2^9-(7+5)+3)
4,2,9^7-3,5-+* 4*(2^9-7+3-5)
4,2,9^7-3+5-* 4*(2^9-7+3-5)
4,2,9^7-5,3--* 4*(2^9-7-(5-3))
4,2,9^7-5-3+* 4*(2^9-7-5+3)
4,2,9^7-*3,5+- 4*(2^9-7)-(3+5)
4,2,9^7-*3-5- 4*(2^9-7)-3-5
4,2,9^7-*5,3+- 4*(2^9-7)-(5+3)
4,2,9^7-*5-3- 4*(2^9-7)-5-3
4,2,9^*3,5,7+*- 4*2^9-3*(5+7)
4,2,9^*3,7,5+*- 4*2^9-3*(7+5)
4,2,9^*5,7+3*- 4*2^9-(5+7)*3
4,2,9^*7,5+3*- 4*2^9-(7+5)*3
4,2,9^-5+3,7-* (4-2^9+5)*(3-7)
4,2+3^7+9*5+ ((4+2)^3+7)*9+5
4,3,2,9^5,7+-+* 4*(3+2^9-(5+7))
4,3,2,9^5-7-+* 4*(3+2^9-5-7)
4,3,2,9^5-+7-* 4*(3+2^9-5-7)
4,3,2,9^7,5+-+* 4*(3+2^9-(7+5))
4,3,2,9^7-5-+* 4*(3+2^9-7-5)
4,3,2,9^7-+5-* 4*(3+2^9-7-5)
4,3,2,9^+5,7+-* 4*(3+2^9-(5+7))
4,3,2,9^+5-7-* 4*(3+2^9-5-7)
4,3,2,9^+7,5+-* 4*(3+2^9-(7+5))
4,3,2,9^+7-5-* 4*(3+2^9-7-5)
4,3,5,2,9^7---* 4*(3-(5-(2^9-7)))
4,3,5,2,9^-7+-* 4*(3-(5-2^9+7))
4,3,5,2,9^--7-* 4*(3-(5-2^9)-7)
4,3,5,7,2,9^-+-* 4*(3-(5+7-2^9))
4,3,5,7+2,9^--* 4*(3-(5+7-2^9))
4,3,5,7+-2,9^+* 4*(3-(5+7)+2^9)
4,3,5-2,9^7-+* 4*(3-5+2^9-7)
4,3,5-2,9^+7-* 4*(3-5+2^9-7)
4,3,5-7,2,9^--* 4*(3-5-(7-2^9))
4,3,5-7-2,9^+* 4*(3-5-7+2^9)
4,3,7,2,9^5---* 4*(3-(7-(2^9-5)))
4,3,7,2,9^-5+-* 4*(3-(7-2^9+5))
4,3,7,2,9^--5-* 4*(3-(7-2^9)-5)
4,3,7,5,2,9^-+-* 4*(3-(7+5-2^9))
4,3,7,5+2,9^--* 4*(3-(7+5-2^9))
4,3,7,5+-2,9^+* 4*(3-(7+5)+2^9)
4,3,7-2,9^5-+* 4*(3-7+2^9-5)
4,3,7-2,9^+5-* 4*(3-7+2^9-5)
4,3,7-5,2,9^--* 4*(3-7-(5-2^9))
4,3,7-5-2,9^+* 4*(3-7-5+2^9)
4,5,2,9^-+3,7-* (4+5-2^9)*(3-7)
4,5,3-2,7+^9-* 4*((5-3)^(2+7)-9)
4,5,3-7,2+^9-* 4*((5-3)^(7+2)-9)
4,5,3-9^2,7+-* 4*((5-3)^9-(2+7))
4,5,3-9^2-7-* 4*((5-3)^9-2-7)
4,5,3-9^7,2+-* 4*((5-3)^9-(7+2))
4,5,3-9^7-2-* 4*((5-3)^9-7-2)
4,5^2/9-7,3-* (4^5/2-9)*(7-3)
4,5^2*3,7-9*+ 4^5*2+(3-7)*9
4,5^2*7,3-9*- 4^5*2-(7-3)*9
4,5^2*9,3,7-*+ 4^5*2+9*(3-7)
4,5^2*9,7,3-*- 4^5*2-9*(7-3)
4,5+2,9^-3,7-* (4+5-2^9)*(3-7)
4,7,3-5^2/9-* 4*((7-3)^5/2-9)
4,7,5-3,2^^9-* 4*((7-5)^3^2-9)
4,7,5-9^3,2^-* 4*((7-5)^9-3^2)
4,9*5+7,2^*3+ (4*9+5)*7^2+3
5,2,4+3^7+9*+ 5+((2+4)^3+7)*9
5,2,9^4--3,7-* (5-(2^9-4))*(3-7)
5,2,9^-4+3,7-* (5-2^9+4)*(3-7)
5,3-2,7+^9-4* ((5-3)^(2+7)-9)*4
5,3-7,2+^9-4* ((5-3)^(7+2)-9)*4
5,3-9^2,7+-4* ((5-3)^9-(2+7))*4
5,3-9^2-7-4* ((5-3)^9-2-7)*4
5,3-9^7,2+-4* ((5-3)^9-(7+2))*4
5,3-9^7-2-4* ((5-3)^9-7-2)*4
5,4,2,9^-+3,7-* (5+4-2^9)*(3-7)
5,4,2+3^7+9*+ 5+((4+2)^3+7)*9
5,4,9*+7,2^*3+ (5+4*9)*7^2+3
5,4^3*2,7^9++ 5^4*3+2^7+9
5,4^3*2,7^+9+ 5^4*3+2^7+9
5,4^3*9,2,7^++ 5^4*3+9+2^7
5,4^3*9+2,7^+ 5^4*3+9+2^7
5,4+2,9^-3,7-* (5+4-2^9)*(3-7)
5,7,2,4+3^+9*+ 5+(7+(2+4)^3)*9
5,7,4,2+3^+9*+ 5+(7+(4+2)^3)*9
5,9,2,4+3^7+*+ 5+9*((2+4)^3+7)
5,9,4,2+3^7+*+ 5+9*((4+2)^3+7)
5,9,4*+7,2^*3+ (5+9*4)*7^2+3
5,9,7,2,4+3^+*+ 5+9*(7+(2+4)^3)
5,9,7,4,2+3^+*+ 5+9*(7+(4+2)^3)
5,9*4-7,2^*3+ (5*9-4)*7^2+3
7,2,4+3^+9*5+ (7+(2+4)^3)*9+5
7,2^4,9*5+*3+ 7^2*(4*9+5)+3
7,2^5,4,9*+*3+ 7^2*(5+4*9)+3
7,2^5,9,4*+*3+ 7^2*(5+9*4)+3
7,2^5,9*4-*3+ 7^2*(5*9-4)+3
7,2^9,4*5+*3+ 7^2*(9*4+5)+3
7,2^9,5*4-*3+ 7^2*(9*5-4)+3
7,3-2,4,5+^9-* (7-3)*(2^(4+5)-9)
7,3-2,5,4+^9-* (7-3)*(2^(5+4)-9)
7,3-2,9^4,5+-* (7-3)*(2^9-(4+5))
7,3-2,9^4-5-* (7-3)*(2^9-4-5)
7,3-2,9^5,4+-* (7-3)*(2^9-(5+4))
7,3-2,9^5-4-* (7-3)*(2^9-5-4)
7,3-4,5^2/9-* (7-3)*(4^5/2-9)
7,3-5^2/9-4* ((7-3)^5/2-9)*4
7,3-5^2*4,9*- (7-3)^5*2-4*9
7,3-5^2*9,4*- (7-3)^5*2-9*4
7,4,2+3^+9*5+ (7+(4+2)^3)*9+5
7,5-3,2^^9-4* ((7-5)^3^2-9)*4
7,5-9^3,2^-4* ((7-5)^9-3^2)*4
9,2,4,5+^-3,7-* (9-2^(4+5))*(3-7)
9,2,4+3^7+*5+ 9*((2+4)^3+7)+5
9,2,5,4+^-3,7-* (9-2^(5+4))*(3-7)
9,2,7^3,5,4^*++ 9+2^7+3*5^4
9,2,7^5,4^3*++ 9+2^7+5^4*3
9,2,7^+3,5,4^*+ 9+2^7+3*5^4
9,2,7^+5,4^3*+ 9+2^7+5^4*3
9,3,5,4^*2,7^++ 9+3*5^4+2^7
9,3,5,4^*+2,7^+ 9+3*5^4+2^7
9,3,7-*2,4,5^*+ 9*(3-7)+2*4^5
9,3,7-*4,5^2*+ 9*(3-7)+4^5*2
9,4,2+3^7+*5+ 9*((4+2)^3+7)+5
9,4,5^2/-3,7-* (9-4^5/2)*(3-7)
9,4^3/5,2^7*- 9^4/3-5^2*7
9,4^3/7,5,2^*- 9^4/3-7*5^2
9,4*5+7,2^*3+ (9*4+5)*7^2+3
9,5,4^3*2,7^++ 9+5^4*3+2^7
9,5,4^3*+2,7^+ 9+5^4*3+2^7
9,5*4-7,2^*3+ (9*5-4)*7^2+3
9,7,2,4+3^+*5+ 9*(7+(2+4)^3)+5
9,7,4,2+3^+*5+ 9*(7+(4+2)^3)+5
C
1,7-6*2,4,5^*+ (1-7)*6+2*4^5
1,7-6*4,5^2*+ (1-7)*6+4^5*2
2,4,5^*1,7-6*+ 2*4^5+(1-7)*6
2,4,5^*6,1,7-*+ 2*4^5+6*(1-7)
2,4,5^*6,7,1-*- 2*4^5-6*(7-1)
2,4,5^*7,1-6*- 2*4^5-(7-1)*6
2,4,7+^1,5+6*- 2^(4+7)-(1+5)*6
2,4,7+^5,1+6*- 2^(4+7)-(5+1)*6
2,4,7+^6,1,5+*- 2^(4+7)-6*(1+5)
2,4,7+^6,5,1+*- 2^(4+7)-6*(5+1)
2,7,4+^1,5+6*- 2^(7+4)-(1+5)*6
2,7,4+^5,1+6*- 2^(7+4)-(5+1)*6
2,7,4+^6,1,5+*- 2^(7+4)-6*(1+5)
2,7,4+^6,5,1+*- 2^(7+4)-6*(5+1)
4,5^2*1,7-6*+ 4^5*2+(1-7)*6
4,5^2*6,1,7-*+ 4^5*2+6*(1-7)
4,5^2*6,7,1-*- 4^5*2-6*(7-1)
4,5^2*7,1-6*- 4^5*2-(7-1)*6
4,6^2/1,5,7*+- 4^6/2-(1+5*7)
4,6^2/1,7,5*+- 4^6/2-(1+7*5)
4,6^2/1-5,7*- 4^6/2-1-5*7
4,6^2/1-7,5*- 4^6/2-1-7*5
4,6^2/5,7*1+- 4^6/2-(5*7+1)
4,6^2/5,7*-1- 4^6/2-5*7-1
4,6^2/7,5*1+- 4^6/2-(7*5+1)
4,6^2/7,5*-1- 4^6/2-7*5-1
6,1,7-*2,4,5^*+ 6*(1-7)+2*4^5
6,1,7-*4,5^2*+ 6*(1-7)+4^5*2
D
1,5,6,3^7+9*+* 1*(5+(6^3+7)*9)
1,5,7,6,3^+9*+* 1*(5+(7+6^3)*9)
1,5,9,6,3^7+*+* 1*(5+9*(6^3+7))
1,5,9,7,6,3^+*+* 1*(5+9*(7+6^3))
1,5*6,3^7+9*+ 1*5+(6^3+7)*9
1,5*7,6,3^+9*+ 1*5+(7+6^3)*9
1,5*9,6,3^7+*+ 1*5+9*(6^3+7)
1,5*9,7,6,3^+*+ 1*5+9*(7+6^3)
1,6,3^7+9*5+* 1*((6^3+7)*9+5)
1,6,3^7+9**5+ 1*(6^3+7)*9+5
1,6,3^7+*9*5+ 1*(6^3+7)*9+5
1,6,3^*7+9*5+ (1*6^3+7)*9+5
1,6*3^7+9*5+ ((1*6)^3+7)*9+5
1,7,6,3^+9*5+* 1*((7+6^3)*9+5)
1,7,6,3^+9**5+ 1*(7+6^3)*9+5
1,7,6,3^+*9*5+ 1*(7+6^3)*9+5
1,7*6,3^+9*5+ (1*7+6^3)*9+5
1,9,6,3^7+*5+* 1*(9*(6^3+7)+5)
1,9,6,3^7+**5+ 1*9*(6^3+7)+5
1,9,7,6,3^+*5+* 1*(9*(7+6^3)+5)
1,9,7,6,3^+**5+ 1*9*(7+6^3)+5
1,9*6,3^7+*5+ 1*9*(6^3+7)+5
1,9*7,6,3^+*5+ 1*9*(7+6^3)+5
1,9+3^6+7,5-* ((1+9)^3+6)*(7-5)
5,1,6,3^7+9**+ 5+1*(6^3+7)*9
5,1,6,3^7+*9*+ 5+1*(6^3+7)*9
5,1,6,3^*7+9*+ 5+(1*6^3+7)*9
5,1,6*3^7+9*+ 5+((1*6)^3+7)*9
5,1,7,6,3^+9**+ 5+1*(7+6^3)*9
5,1,7,6,3^+*9*+ 5+1*(7+6^3)*9
5,1,7*6,3^+9*+ 5+(1*7+6^3)*9
5,1,9,6,3^7+**+ 5+1*9*(6^3+7)
5,1,9,7,6,3^+**+ 5+1*9*(7+6^3)
5,1,9*6,3^7+*+ 5+1*9*(6^3+7)
5,1,9*7,6,3^+*+ 5+1*9*(7+6^3)
5,1^6,3^7+9*+ 5^1+(6^3+7)*9
5,1^7,6,3^+9*+ 5^1+(7+6^3)*9
5,1^9,6,3^7+*+ 5^1+9*(6^3+7)
5,1^9,7,6,3^+*+ 5^1+9*(7+6^3)
5,1/6,3^7+9*+ 5/1+(6^3+7)*9
5,1/7,6,3^+9*+ 5/1+(7+6^3)*9
5,1/9,6,3^7+*+ 5/1+9*(6^3+7)
5,1/9,7,6,3^+*+ 5/1+9*(7+6^3)
5,1*6,3^7+9*+ 5*1+(6^3+7)*9
5,1*7,6,3^+9*+ 5*1+(7+6^3)*9
5,1*9,6,3^7+*+ 5*1+9*(6^3+7)
5,1*9,7,6,3^+*+ 5*1+9*(7+6^3)
5,6,1,3*^7+9*+ 5+(6^(1*3)+7)*9
5,6,1^3^7+9*+ 5+(6^1^3+7)*9
5,6,1/3^7+9*+ 5+((6/1)^3+7)*9
5,6,1*3^7+9*+ 5+((6*1)^3+7)*9
5,6,3,1^^7+9*+ 5+(6^3^1+7)*9
5,6,3,1/^7+9*+ 5+(6^(3/1)+7)*9
5,6,3,1*^7+9*+ 5+(6^(3*1)+7)*9
5,6,3^1,7*+9*+ 5+(6^3+1*7)*9
5,6,3^1^7+9*+ 5+(6^3^1+7)*9
5,6,3^1/7+9*+ 5+(6^3/1+7)*9
5,6,3^1*7+9*+ 5+(6^3*1+7)*9
5,6,3^7,1^+9*+ 5+(6^3+7^1)*9
5,6,3^7,1/+9*+ 5+(6^3+7/1)*9
5,6,3^7,1*+9*+ 5+(6^3+7*1)*9
5,6,3^7+1,9//+ 5+(6^3+7)/(1/9)
5,6,3^7+1,9**+ 5+(6^3+7)*1*9
5,6,3^7+1^9*+ 5+(6^3+7)^1*9
5,6,3^7+1/9*+ 5+((6^3+7)/1)*9
5,6,3^7+1*9*+ 5+(6^3+7)*1*9
5,6,3^7+9,1^*+ 5+(6^3+7)*9^1
5,6,3^7+9,1/*+ 5+(6^3+7)*9/1
5,6,3^7+9,1**+ 5+(6^3+7)*9*1
5,6,3^7+9*1^+ 5+((6^3+7)*9)^1
5,6,3^7+9*1/+ 5+(6^3+7)*9/1
5,6,3^7+9*1*+ 5+(6^3+7)*9*1
5,6,3^7+9*+1^ (5+(6^3+7)*9)^1
5,6,3^7+9*+1/ (5+(6^3+7)*9)/1
5,6,3^7+9*+1* (5+(6^3+7)*9)*1
5,7,1,6,3^*+9*+ 5+(7+1*6^3)*9
5,7,1,6*3^+9*+ 5+(7+(1*6)^3)*9
5,7,1^6,3^+9*+ 5+(7^1+6^3)*9
5,7,1/6,3^+9*+ 5+(7/1+6^3)*9
5,7,1*6,3^+9*+ 5+(7*1+6^3)*9
5,7,6,1,3*^+9*+ 5+(7+6^(1*3))*9
5,7,6,1^3^+9*+ 5+(7+6^1^3)*9
5,7,6,1/3^+9*+ 5+(7+(6/1)^3)*9
5,7,6,1*3^+9*+ 5+(7+(6*1)^3)*9
5,7,6,3,1^^+9*+ 5+(7+6^3^1)*9
5,7,6,3,1/^+9*+ 5+(7+6^(3/1))*9
5,7,6,3,1*^+9*+ 5+(7+6^(3*1))*9
5,7,6,3^1^+9*+ 5+(7+6^3^1)*9
5,7,6,3^1/+9*+ 5+(7+6^3/1)*9
5,7,6,3^1*+9*+ 5+(7+6^3*1)*9
5,7,6,3^+1,9//+ 5+(7+6^3)/(1/9)
5,7,6,3^+1,9**+ 5+(7+6^3)*1*9
5,7,6,3^+1^9*+ 5+(7+6^3)^1*9
5,7,6,3^+1/9*+ 5+((7+6^3)/1)*9
5,7,6,3^+1*9*+ 5+(7+6^3)*1*9
5,7,6,3^+9,1^*+ 5+(7+6^3)*9^1
5,7,6,3^+9,1/*+ 5+(7+6^3)*9/1
5,7,6,3^+9,1**+ 5+(7+6^3)*9*1
5,7,6,3^+9*1^+ 5+((7+6^3)*9)^1
5,7,6,3^+9*1/+ 5+(7+6^3)*9/1
5,7,6,3^+9*1*+ 5+(7+6^3)*9*1
5,7,6,3^+9*+1^ (5+(7+6^3)*9)^1
5,7,6,3^+9*+1/ (5+(7+6^3)*9)/1
5,7,6,3^+9*+1* (5+(7+6^3)*9)*1
5,9,1,6,3^7+//+ 5+9/(1/(6^3+7))
5,9,1,6,3^7+**+ 5+9*1*(6^3+7)
5,9,1,6,3^*7+*+ 5+9*(1*6^3+7)
5,9,1,6*3^7+*+ 5+9*((1*6)^3+7)
5,9,1,7,6,3^+//+ 5+9/(1/(7+6^3))
5,9,1,7,6,3^+**+ 5+9*1*(7+6^3)
5,9,1,7*6,3^+*+ 5+9*(1*7+6^3)
5,9,1^6,3^7+*+ 5+9^1*(6^3+7)
5,9,1^7,6,3^+*+ 5+9^1*(7+6^3)
5,9,1/6,3^7+*+ 5+(9/1)*(6^3+7)
5,9,1/7,6,3^+*+ 5+(9/1)*(7+6^3)
5,9,1*6,3^7+*+ 5+9*1*(6^3+7)
5,9,1*7,6,3^+*+ 5+9*1*(7+6^3)
5,9,6,1,3*^7+*+ 5+9*(6^(1*3)+7)
5,9,6,1^3^7+*+ 5+9*(6^1^3+7)
5,9,6,1/3^7+*+ 5+9*((6/1)^3+7)
5,9,6,1*3^7+*+ 5+9*((6*1)^3+7)
5,9,6,3,1^^7+*+ 5+9*(6^3^1+7)
5,9,6,3,1/^7+*+ 5+9*(6^(3/1)+7)
5,9,6,3,1*^7+*+ 5+9*(6^(3*1)+7)
5,9,6,3^1,7*+*+ 5+9*(6^3+1*7)
5,9,6,3^1^7+*+ 5+9*(6^3^1+7)
5,9,6,3^1/7+*+ 5+9*(6^3/1+7)
5,9,6,3^1*7+*+ 5+9*(6^3*1+7)
5,9,6,3^7,1^+*+ 5+9*(6^3+7^1)
5,9,6,3^7,1/+*+ 5+9*(6^3+7/1)
5,9,6,3^7,1*+*+ 5+9*(6^3+7*1)
5,9,6,3^7+1^*+ 5+9*(6^3+7)^1
5,9,6,3^7+1/*+ 5+9*(6^3+7)/1
5,9,6,3^7+1**+ 5+9*(6^3+7)*1
5,9,6,3^7+*1^+ 5+(9*(6^3+7))^1
5,9,6,3^7+*1/+ 5+9*(6^3+7)/1
5,9,6,3^7+*1*+ 5+9*(6^3+7)*1
5,9,6,3^7+*+1^ (5+9*(6^3+7))^1
5,9,6,3^7+*+1/ (5+9*(6^3+7))/1
5,9,6,3^7+*+1* (5+9*(6^3+7))*1
5,9,7,1,6,3^*+*+ 5+9*(7+1*6^3)
5,9,7,1,6*3^+*+ 5+9*(7+(1*6)^3)
5,9,7,1^6,3^+*+ 5+9*(7^1+6^3)
5,9,7,1/6,3^+*+ 5+9*(7/1+6^3)
5,9,7,1*6,3^+*+ 5+9*(7*1+6^3)
5,9,7,6,1,3*^+*+ 5+9*(7+6^(1*3))
5,9,7,6,1^3^+*+ 5+9*(7+6^1^3)
5,9,7,6,1/3^+*+ 5+9*(7+(6/1)^3)
5,9,7,6,1*3^+*+ 5+9*(7+(6*1)^3)
5,9,7,6,3,1^^+*+ 5+9*(7+6^3^1)
5,9,7,6,3,1/^+*+ 5+9*(7+6^(3/1))
5,9,7,6,3,1*^+*+ 5+9*(7+6^(3*1))
5,9,7,6,3^1^+*+ 5+9*(7+6^3^1)
5,9,7,6,3^1/+*+ 5+9*(7+6^3/1)
5,9,7,6,3^1*+*+ 5+9*(7+6^3*1)
5,9,7,6,3^+1^*+ 5+9*(7+6^3)^1
5,9,7,6,3^+1/*+ 5+9*(7+6^3)/1
5,9,7,6,3^+1**+ 5+9*(7+6^3)*1
5,9,7,6,3^+*1^+ 5+(9*(7+6^3))^1
5,9,7,6,3^+*1/+ 5+9*(7+6^3)/1
5,9,7,6,3^+*1*+ 5+9*(7+6^3)*1
5,9,7,6,3^+*+1^ (5+9*(7+6^3))^1
5,9,7,6,3^+*+1/ (5+9*(7+6^3))/1
5,9,7,6,3^+*+1* (5+9*(7+6^3))*1
5,9*3,1-^6,7+- (5*9)^(3-1)-(6+7)
5,9*3,1-^6-7- (5*9)^(3-1)-6-7
5,9*3,1-^7,6+- (5*9)^(3-1)-(7+6)
5,9*3,1-^7-6- (5*9)^(3-1)-7-6
6,1,3*^7+9*5+ (6^(1*3)+7)*9+5
6,1,9+3^+7,5-* (6+(1+9)^3)*(7-5)
6,1^3^7+9*5+ (6^1^3+7)*9+5
6,1/3^7+9*5+ ((6/1)^3+7)*9+5
6,1*3^7+9*5+ ((6*1)^3+7)*9+5
6,3,1^^7+9*5+ (6^3^1+7)*9+5
6,3,1/^7+9*5+ (6^(3/1)+7)*9+5
6,3,1*^7+9*5+ (6^(3*1)+7)*9+5
6,3^1,7*+9*5+ (6^3+1*7)*9+5
6,3^1^7+9*5+ (6^3^1+7)*9+5
6,3^1/7+9*5+ (6^3/1+7)*9+5
6,3^1*7+9*5+ (6^3*1+7)*9+5
6,3^7,1^+9*5+ (6^3+7^1)*9+5
6,3^7,1/+9*5+ (6^3+7/1)*9+5
6,3^7,1*+9*5+ (6^3+7*1)*9+5
6,3^7+1,9//5+ (6^3+7)/(1/9)+5
6,3^7+1,9**5+ (6^3+7)*1*9+5
6,3^7+1^9*5+ (6^3+7)^1*9+5
6,3^7+1/9*5+ ((6^3+7)/1)*9+5
6,3^7+1*9*5+ (6^3+7)*1*9+5
6,3^7+9,1^*5+ (6^3+7)*9^1+5
6,3^7+9,1/*5+ (6^3+7)*9/1+5
6,3^7+9,1**5+ (6^3+7)*9*1+5
6,3^7+9*1,5*+ (6^3+7)*9+1*5
6,3^7+9*1^5+ ((6^3+7)*9)^1+5
6,3^7+9*1/5+ (6^3+7)*9/1+5
6,3^7+9*1*5+ (6^3+7)*9*1+5
6,3^7+9*5,1^+ (6^3+7)*9+5^1
6,3^7+9*5,1/+ (6^3+7)*9+5/1
6,3^7+9*5,1*+ (6^3+7)*9+5*1
6,3^7+9*5+1^ ((6^3+7)*9+5)^1
6,3^7+9*5+1/ ((6^3+7)*9+5)/1
6,3^7+9*5+1* ((6^3+7)*9+5)*1
6,7,3^*1,5,9*+- 6*7^3-(1+5*9)
6,7,3^*1,9,5*+- 6*7^3-(1+9*5)
6,7,3^*1-5,9*- 6*7^3-1-5*9
6,7,3^*1-9,5*- 6*7^3-1-9*5
6,7,3^*5,9*1+- 6*7^3-(5*9+1)
6,7,3^*5,9*-1- 6*7^3-5*9-1
6,7,3^*9,5*1+- 6*7^3-(9*5+1)
6,7,3^*9,5*-1- 6*7^3-9*5-1
6,9,1+3^+7,5-* (6+(9+1)^3)*(7-5)
7,1,6,3^*+9*5+ (7+1*6^3)*9+5
7,1,6*3^+9*5+ (7+(1*6)^3)*9+5
7,1^6,3^+9*5+ (7^1+6^3)*9+5
7,1/6,3^+9*5+ (7/1+6^3)*9+5
7,1*6,3^+9*5+ (7*1+6^3)*9+5
7,3^6*1,5,9*+- 7^3*6-(1+5*9)
7,3^6*1,9,5*+- 7^3*6-(1+9*5)
7,3^6*1-5,9*- 7^3*6-1-5*9
7,3^6*1-9,5*- 7^3*6-1-9*5
7,3^6*5,9*1+- 7^3*6-(5*9+1)
7,3^6*5,9*-1- 7^3*6-5*9-1
7,3^6*9,5*1+- 7^3*6-(9*5+1)
7,3^6*9,5*-1- 7^3*6-9*5-1
7,5-1,9+3^6+* (7-5)*((1+9)^3+6)
7,5-6,1,9+3^+* (7-5)*(6+(1+9)^3)
7,5-6,9,1+3^+* (7-5)*(6+(9+1)^3)
7,5-9,1+3^6+* (7-5)*((9+1)^3+6)
7,6,1,3*^+9*5+ (7+6^(1*3))*9+5
7,6,1^3^+9*5+ (7+6^1^3)*9+5
7,6,1/3^+9*5+ (7+(6/1)^3)*9+5
7,6,1*3^+9*5+ (7+(6*1)^3)*9+5
7,6,3,1^^+9*5+ (7+6^3^1)*9+5
7,6,3,1/^+9*5+ (7+6^(3/1))*9+5
7,6,3,1*^+9*5+ (7+6^(3*1))*9+5
7,6,3^1^+9*5+ (7+6^3^1)*9+5
7,6,3^1/+9*5+ (7+6^3/1)*9+5
7,6,3^1*+9*5+ (7+6^3*1)*9+5
7,6,3^+1,9//5+ (7+6^3)/(1/9)+5
7,6,3^+1,9**5+ (7+6^3)*1*9+5
7,6,3^+1^9*5+ (7+6^3)^1*9+5
7,6,3^+1/9*5+ ((7+6^3)/1)*9+5
7,6,3^+1*9*5+ (7+6^3)*1*9+5
7,6,3^+9,1^*5+ (7+6^3)*9^1+5
7,6,3^+9,1/*5+ (7+6^3)*9/1+5
7,6,3^+9,1**5+ (7+6^3)*9*1+5
7,6,3^+9*1,5*+ (7+6^3)*9+1*5
7,6,3^+9*1^5+ ((7+6^3)*9)^1+5
7,6,3^+9*1/5+ (7+6^3)*9/1+5
7,6,3^+9*1*5+ (7+6^3)*9*1+5
7,6,3^+9*5,1^+ (7+6^3)*9+5^1
7,6,3^+9*5,1/+ (7+6^3)*9+5/1
7,6,3^+9*5,1*+ (7+6^3)*9+5*1
7,6,3^+9*5+1^ ((7+6^3)*9+5)^1
7,6,3^+9*5+1/ ((7+6^3)*9+5)/1
7,6,3^+9*5+1* ((7+6^3)*9+5)*1
9,1,6,3^7+//5+ 9/(1/(6^3+7))+5
9,1,6,3^7+**5+ 9*1*(6^3+7)+5
9,1,6,3^*7+*5+ 9*(1*6^3+7)+5
9,1,6*3^7+*5+ 9*((1*6)^3+7)+5
9,1,7,6,3^+//5+ 9/(1/(7+6^3))+5
9,1,7,6,3^+**5+ 9*1*(7+6^3)+5
9,1,7*6,3^+*5+ 9*(1*7+6^3)+5
9,1^6,3^7+*5+ 9^1*(6^3+7)+5
9,1^7,6,3^+*5+ 9^1*(7+6^3)+5
9,1/6,3^7+*5+ (9/1)*(6^3+7)+5
9,1/7,6,3^+*5+ (9/1)*(7+6^3)+5
9,1*6,3^7+*5+ 9*1*(6^3+7)+5
9,1*7,6,3^+*5+ 9*1*(7+6^3)+5
9,1+3^6+7,5-* ((9+1)^3+6)*(7-5)
9,5*3,1-^6,7+- (9*5)^(3-1)-(6+7)
9,5*3,1-^6-7- (9*5)^(3-1)-6-7
9,5*3,1-^7,6+- (9*5)^(3-1)-(7+6)
9,5*3,1-^7-6- (9*5)^(3-1)-7-6
9,6,1,3*^7+*5+ 9*(6^(1*3)+7)+5
9,6,1^3^7+*5+ 9*(6^1^3+7)+5
9,6,1/3^7+*5+ 9*((6/1)^3+7)+5
9,6,1*3^7+*5+ 9*((6*1)^3+7)+5
9,6,3,1^^7+*5+ 9*(6^3^1+7)+5
9,6,3,1/^7+*5+ 9*(6^(3/1)+7)+5
9,6,3,1*^7+*5+ 9*(6^(3*1)+7)+5
9,6,3^1,7*+*5+ 9*(6^3+1*7)+5
9,6,3^1^7+*5+ 9*(6^3^1+7)+5
9,6,3^1/7+*5+ 9*(6^3/1+7)+5
9,6,3^1*7+*5+ 9*(6^3*1+7)+5
9,6,3^7,1^+*5+ 9*(6^3+7^1)+5
9,6,3^7,1/+*5+ 9*(6^3+7/1)+5
9,6,3^7,1*+*5+ 9*(6^3+7*1)+5
9,6,3^7+1^*5+ 9*(6^3+7)^1+5
9,6,3^7+1/*5+ 9*(6^3+7)/1+5
9,6,3^7+1**5+ 9*(6^3+7)*1+5
9,6,3^7+*1,5*+ 9*(6^3+7)+1*5
9,6,3^7+*1^5+ (9*(6^3+7))^1+5
9,6,3^7+*1/5+ 9*(6^3+7)/1+5
9,6,3^7+*1*5+ 9*(6^3+7)*1+5
9,6,3^7+*5,1^+ 9*(6^3+7)+5^1
9,6,3^7+*5,1/+ 9*(6^3+7)+5/1
9,6,3^7+*5,1*+ 9*(6^3+7)+5*1
9,6,3^7+*5+1^ (9*(6^3+7)+5)^1
9,6,3^7+*5+1/ (9*(6^3+7)+5)/1
9,6,3^7+*5+1* (9*(6^3+7)+5)*1
9,7,1,6,3^*+*5+ 9*(7+1*6^3)+5
9,7,1,6*3^+*5+ 9*(7+(1*6)^3)+5
9,7,1^6,3^+*5+ 9*(7^1+6^3)+5
9,7,1/6,3^+*5+ 9*(7/1+6^3)+5
9,7,1*6,3^+*5+ 9*(7*1+6^3)+5
9,7,6,1,3*^+*5+ 9*(7+6^(1*3))+5
9,7,6,1^3^+*5+ 9*(7+6^1^3)+5
9,7,6,1/3^+*5+ 9*(7+(6/1)^3)+5
9,7,6,1*3^+*5+ 9*(7+(6*1)^3)+5
9,7,6,3,1^^+*5+ 9*(7+6^3^1)+5
9,7,6,3,1/^+*5+ 9*(7+6^(3/1))+5
9,7,6,3,1*^+*5+ 9*(7+6^(3*1))+5
9,7,6,3^1^+*5+ 9*(7+6^3^1)+5
9,7,6,3^1/+*5+ 9*(7+6^3/1)+5
9,7,6,3^1*+*5+ 9*(7+6^3*1)+5
9,7,6,3^+1^*5+ 9*(7+6^3)^1+5
9,7,6,3^+1/*5+ 9*(7+6^3)/1+5
9,7,6,3^+1**5+ 9*(7+6^3)*1+5
9,7,6,3^+*1,5*+ 9*(7+6^3)+1*5
9,7,6,3^+*1^5+ (9*(7+6^3))^1+5
9,7,6,3^+*1/5+ 9*(7+6^3)/1+5
9,7,6,3^+*1*5+ 9*(7+6^3)*1+5
9,7,6,3^+*5,1^+ 9*(7+6^3)+5^1
9,7,6,3^+*5,1/+ 9*(7+6^3)+5/1
9,7,6,3^+*5,1*+ 9*(7+6^3)+5*1
9,7,6,3^+*5+1^ (9*(7+6^3)+5)^1
9,7,6,3^+*5+1/ (9*(7+6^3)+5)/1
9,7,6,3^+*5+1* (9*(7+6^3)+5)*1
E
4,8,3^9-* 4*(8^3-9)
8,3^9-4* (8^3-9)*4
F thru I will be on next post--no room here
Edited on July 15, 2012, 4:01 pm
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Posted by Charlie
on 2012-07-15 15:59:57 |
computer solution
