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2012 Equal Expressions (Posted on 2012-07-15) Difficulty: 3 of 5
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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Solution computer solution | Comment 1 of 12

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
  Posted by Charlie on 2012-07-15 15:59:57

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