A small program solving ancient game
A. First Edition
This applet is the initial version, which has plans to enhance the function to solve the digital non-repetitive solution.
1. Basic description of the game: Everyone should have played this game, which is to use several 10, and the result is 24 through the addition and subtraction.
2. Game Program Idea: Usually the method of incarnation can change the set of numbers of the same order, but the initial consideration This is the problem of compiler level, so I want to pass
The numbers of different sorting are made to exhaust all combinations, so that the logical calculation order is determined by the order of the numbers, and more easily.
3. Main function introduction:
A. Operation is a function array that stores the quadrant multiplication four operations.
Double add (double, double);
Double Mul (Double, Double);
Double min (double, double);
Double Div (Double, Double);
Double (* Operation [4]) (Double, Double) = {Add, Min, Mul, Div};
B. InputNumber is a function that generates all digital combinations, and the trouble is returned at a time change, I use a similar carry of small algorithm, each time the first place
Total plus one, to nine, it will be one. At the same time, the next digit is further, if the next digit is also nine, then it will enter one, if the last one becomes nine, explains, return to fake .
Bool inputnumber ()
C. Display is originally for the screen output, and then the result is too much to change to the file output, and the file parameters are added. He has three internal functions.
1. Void addNumber (); It is easy to put the selected number into an even INDEX location of the array, and the operation symbol is in the odd index location.
2. Void addparenthesis (); is a function of brackets, my algorithm is only added to the number before the number of 加 号 occurs. There is another mobile copy array inside it.
The internal small function is very ordinary.
3. Void DisplaySolution (OFSTream & f); originally the screen output, now changed to write the result in the same time.
Void Display (Bool Suckceed, Ofstream & F)
{
Void AddNumber ();
Void addparenthesis ();
Void DisplaySolution (OFStream & f);
}
D. FindSolution is a real core function, I can avoid the tree structure, and the result is the same as a tree storage, but very clumsy.
1. First put the four arithmetic results of the first and second numbers into the 0 to four digits of the temporary array Total, then one of the following numbers and the previous result is to go. That is, the first n power of 4.
2. Total [Second] = Operation [J -10] (Total [first], Operand [count 2]); this sentence is the previous result of the four calculations of the next number.
3. I can't solve the results of the first step by multiplying the integer, I have to use the exact value to be determined at 0.01. It seems yet.
IF (count == Number-3) && fabs (Total [SECOND] -24) <0.01)
{
WriteRecord (SECOND);
Result = TRUE;
}
Bool FindSolution (OFStream & f);
E. WriteRecord is an internal function of the FindSolution, the purpose is to push out the operation symbols of each step according to D3, I used the like to transfer, which is the kind of 10-en-transfer two-based, each time the remainder is the operation symbol. The order of the order is minus ten (because in order to put the numbers and symbols in one array, I started from 10.)
Void WriteRecord (int Num)
4. Insufficient:
A. There have not yet to find a simple algorithm for different numbers. You have an idea to tell me. (The InputNumber generates no repeat numbers, ie, no combination of 2, 2, 3, 4.)
B. Whether the output can be arranged or eliminated. (Forget IT, IT IS TOO HARD!)
C. Enter the number of numbers to 3, or 5, etc., actually my program is ok, but I don't know if there is a small bug, have not found it.
5. The result of the output is here.
#include
#include
#include
Using namespace std;
Const int number = 4;
Const int OPNUM = 6;
Const int signnum = 4;
ENUM OP
{Add = 10, min = 11, MUL = 12, DIV = 13, Left = 14, Right = 15};
INT opcount = 0;
Int numcount = 0;
Char * Opstr [opnum] = {"addition", "minus", "multiply", "Divide", "Left", "right"}
Char * Opsign [OPNUM] = {" ", "-", "x", "/", "(", "};
INT OPERAND [NUMBER] = {0};
INT Operator [Number * 3] = {0};
Voidinitialize ();
Void Display (Bool Suckceed, Ofstream & F);
Bool infutnumber ();
Bool FindSolution (OFStream & f);
Double add (double, double);
Double Mul (Double, Double);
Double min (double, double);
Double Div (Double, Double);
Double (* Operation [4]) (Double, Double) = {Add, Min, Mul, Div};
int main ()
{
INT TEMP = 0, TIMES = 0;
INITIALIZE ();
OFSTREAM F;
F.Open ("c: //game24.txt");
While (InputNumber ())
{
IF (FindSolution (f))
{
// Display (True, F);
// Temp ;
;
}
Else
;
Times ;
// display (false); // in Order to see clearly, omit the no solution display}
Cout << "/ ntotal" << Numcount << "SOLUTIONS / N";
Cout << "/ NAND TOTAL NUMBER IS" << Times << Endl;
F << "/ ntotal << Numcount <<" Solutions out of "<< Times <<" combinations / n ";
Return 0;
}
Double Add (Double Num1, Double Num2)
{
RETURN NUM1 NUM2;
}
Double Mul (Double Num1, Double Num2)
{
RETURN NUM1 * NUM2;
}
Double Min (Double Num1, Double Num2)
{
Return Num1 -Num2;
}
Double Div (Double Num1, Double Num2)
{
RETURN NUM1 / NUM2;
}
Bool FindSolution (OFStream & f)
{
Void WriteRecord (int Num);
Double Total [1000] = {0};
INT first = 0, second = 0, last = 0, now = 0;
Bool result = false;
For (int i = 0; i { Total [I] = Operation [i] (Operand [0], Operand [1]); } For (int count = 0; count { Last = (count == 0? 0: POW (Signnum, Count)); Now = POW (Signnum, Count 1); SECOND = NOW; For (int first; first { For (int J = add; j <= div; j ) // control op { Total [SECOND] = Operation [J -10] (Total [first], Operand [count 2]); IF (count == Number-3) && fabs (Total [SECOND] -24) <0.01) { WriteRecord (SECOND); Display (True, F); Result = TRUE; Numcount ; } SECOND ; } } } Return Result; } Void WriteRecord (int Num) { INT POS = NUM; For (int i = 1; i { POS - = Pow (Signnum, I); } For (i = number -2; i> = 0; i -) { Operator [i * 2 1] = POS% Signnum 10; // from back to front, andpos = POS / SIGNUM; } } void initialize () { For (int i = 0; i { Operand [i] = 1; } Operand [0] = 0; // this is ugly as I need to add 1 at each time, so make it zero to add 1 } Bool inputnumber () { INT i = 0; While (True) { IF (Operand [i] <9) // increase one by one number { Operand [i] ; Return True; } Else { IF (i == Number -1) Break; Operand [i] = 1; // this is something like "carry" i ; } } Return False; } Void Display (Bool Suckceed, Ofstream & F) { Void AddNumber (); Void addparenthesis (); Void DisplaySolution (OFStream & f); IF (success) { AddNumber (); Addparenthesis (); DisplaySolution (f); } Else { Cout << "/ nno solution for these number: / n"; For (int i = 0; i { COUT << Operand [i] << '/ t'; } Cout << Endl; } } Void DisplaySolution (OFSTream & f) { Cout << "/ nthe solution is: / n"; For (int i = 0; i { IF (Operator [i] <10) { Cout << Operator [i]; f << Operator [i]; } Else { COUT << "<< Opsign [operator [i] - 10] <<" f << "<< Opsign [Operator [i] - 10] <<" } } F << '/ n'; } Void AddNumber () { For (int i = 0; i { Operator [i * 2] = operand [i]; } OpCount = Number * 2 - 1; } void addparenthesis () { Void insertparenthesis (int POS); Bool Findlow = false, FindHigh = FALSE; For (int i = 0; i { IF (Operator [i] == 11 || Operator [i] == 10) // add, minfindlow = true; Else { IF (Operator [i] == 12 || Operator [i] == 13) // Mul, DIV { IF (Findlow) // ONLY FIND Add, Min Ten FindHigh Is Meaningful Findhigh = true; } } Findlow && Findhigh { INSERTPARENTHESISI Findlow = false; Findhigh = false; } } } Void InsertParenthesis (int POS) { Void insert (int POS, IT ITEM); INSERT (POS, Right); // Sequence Is Important Due to POS INSERT (0, Left); } Void Insert (int Start, int item) { INT HOLD1, HOLD2; Hold1 = Operator [start]; HOLD2 = Operator [start 1]; For (int i = start; i { Operator [i 1] = HOLD1; HOLD1 = HOLD2; HOLD2 = Operator [i 2]; } Operator [start] = item; OpCount ; } A Glimpse of The Output in Screen. Click to Maximize and Here Is The Total Outcome File Again. 8 x 3 1 - 18 x 3 - 1 18 x 3 x 3/1 x 18 x 3/1/16 x 4 1 - 16 x 4 - 1 16 x 4 x 1/16 x 4/1 (5 x 5 - 1) x 1 (5 x 5 - 1) / 15 x 5 x 1 - 15 x 5 / 1 - 14 x 6 1 - 14 x 6 - 1 14 x 6 x 6/1 x 14 x 6/13 x 8 1 - 13 x 8 - 1 13 x 8/13 x 2/14 x 2/17 x 3 2 1 (9 3) x 2 x 1 (9 3) x 2/19 x 3 - 2 - 13 x 4 x 2 x 3 4) x 2 x 1 (8 4) x 2/15 x 5 - 2 1 (7 5) x 2 x 1 (7 5) x 2/12 x 6 x 2 x 12 x 6 x 6 x 2 x 12 x 6 x 6 x 2 x 12 x 6 x 2/1 (6 6) X 2 x 1 (6 6) x 2/18 x 6/2 x 18 x 6/2/13 x 7 2 1 (5 7) x 2 x 1 (5 7) x 2/1 ( 4 8) x 2 x 1 (4 8) x 2/16 x 8/2 x 16 x 2 x 1 (3 9) x 2/13 x 9 2 - 1 (7 1) x 3 x 1 (7 1) x 3/18 x 1 x 3 x 3 x 18/1 x 3/1 (9 - 1) x 3 x 1 (9 - 1) x 3/14 x 2 x 3 X 14 x 3/1 (6 2) x 3 x 1 (6 2) x 3/1 (5 3) x 3 x 1 (5 3) x 3/1 (7 x 3 3 ) X 1 (7 x 3 3) / 1 (9 x 3 - 3) x 1 (9 x 3 - 3) / 12 x 4 x 3 x 12) x 3 x 1 (4 4) x 3/15 x 4 3 17 x 4 - 3 - 1 (3 5) x 3 x 1 (3 5) x 3/14 x 5 3 1 (2 6 ) X 3 x 1 (2 6) x 3/1 (1 7) x 3 x 1 (1 7) x 3/1 (3 x 7 3) x 1 (3 x 7 3) / 14 x 7 - 3 - 11 x 3/19 x 8/3 x 19 x 9/3/1 (3 x 9 - 3) x 1 (3 x 9 - 3) / 18 x 9/3 x 18 x 4 x 1 (5 1) x 4/16 x 1 x 4 x 16 x 4 x 1 x 4 x 16 x 1 / 1 x 4/1 (7 - 1) x 4 x 1 (7 - 1) x 4/13 x 2 x 4) x 4 x 1 (4 2) X 4/1 (8 - 2) x 4 x 4/1 (3 3) x 4 x 1 (3 3) x 4 / 17 x 3 4 - 1 (9 - 3) x 4 x 1 (9 - 3) x 4/19 x 3 - 4 1 (2 4) x 4 x 1 (2 4) x 4/1 (5 x 4 4) x 1 (5 x 4 4) / 1 (7 x 4 - 4) x 1 (7 x 4 - 4) / 1 (1 5) x 4 x 1 (1 5) X 4/1 (4 x 5 4) x 1 (4 x 5 4) / 11 x 6 x 4 x 11 x 6 (4 x 7 - 4) x 1 ( 4 x 7 - 4) / 13 x 9 - 4 1 (4 1) x 5 - 15 x 1 x 5 - 15/1 x 5 - 1 (6 - 1) x 5 - 1 (3 2) x 5 - 1 (7 - 2) x 5 - 19 x 2 5 1 (2 3) x 5 - 16 x 3 5 1 (8 - 3) x 5 - 1 (1 4) x 5 - 15 x 4 5 - 17 x 4 - 5 1 (9 - 4) x 5 - 11 x 5 x 5 - 14 x 5 5 - 16 x 5 - 5 - 13 x 6 5 15 x 6 - 5 - 14 x 7 - 5 12 x 9 5 19 9 5 1 (3 1) x 6 x 1 (3 1) x 6/14 x 14/1 x 6 x 14/1 x 6/1 (5 - 1) x 6 X 1 (5 - 1) x 6/1 (2 2) x 6 x 1 (2 2) x 6/12 x 6 x 6 x 6 x 6 x 1 (6 - 2) X 6/18/2 x 6 x 18/2 x 6/1 (9 x 2 6) x 1 (9 x 2 6) / 1 (1 3) x 6 x 1 (1 3) x 6/1 (6 x 3 6) x 1 (6 x 3 6) / 1 (7 - 3) x 6 x 1 (7 - 3) x 6/11 x 4 x 6 (8 - 4) x 6 x 1 (8 - 4) x 6 / 1 (6 x 5 - 6) x 1 (6 x 5 - 6) / 1 (9 - 5) x 6 x 1 (9 - 5) x 6/1 (3 x 6 6) x 1 (3 x 6 6) / 1 (5 x 6 - 6) x 1 (5 x 6 - 6) / 19 8 6 1 (2 x 9 6) x 1 (2 x 9 6) / 18 9 6 1 (9 9 6) x 1 (9 9 6) / 18 x 2 7 19 x 2 7 - 16 x 3 7 - 14 x 4 7 18 x 4 - 7 - 16 x 5 - 7 13 x 6 7 - 15 x 6 - 7 19 7 7 12 x 8 7 14 x 8 - 7 - 18 8 7 1 (9 8 7 ) X 1 (9 8 7) / 12 x 9 7 - 17 9 7 1 (8 9 7) x 1 (8 9 7) / 19 9 7 - 1 (2 1) x 8 x 1 (2 1) x 8/13 x 1 x 8 x 8 x 13/1 x 8/1 (4 - 1) x 8 x 1 ( 4 - 1) x 8/1 (1 2) x 8 x 1 (1 2) x 8/1 (5 - 2) x 8 x 1 (5 - 2) x 8/16/2 x 8 x 16 / 2 x 8/1 (8 x 2 8) x 1 (8 x 2 8) / 11 x 3 x 8 x 11 (6 - 3) x 8 x 1 (6 - 3) x 8/19/3 x 8 x 19/3 x 8/1 (4 x 4 8) x 1 (4 x 4 8) / 1 (7 - 4) x 8 x 1 (7 - 4) x 8/1 (8 x 4 - 8) x 1 (8 X 4 - 8) / 13 x 5 8 1 (8 - 5) x 8 x 1 (8 - 5) x 8/19 6 8 1 (9 - 6) x 8 x 1 (9 - 6 X 8/18 7 8 1 (9 7 8) x 1 (9 7 8) / 1 (2 x 8 8) x 1 (2 x 8 8) / 1 (4 x 8 - 8) X 1 (4 x 8 - 8) / 17 8 8 8) x 1 (8 8 8) / 19 8 8 - 16 9 8 1 (7 9 8) x 1 (7 9 8) / 18 9 8 - 17 x 2 9 18 x 2 9 - 1 (5 x 3 9) x 1 (5 x 3 9) / 18/3 X 9 X 18 / 3x 9/14 x 4 9 - 18 x 4 - 9 1 (3 x 5 9) x 1 (3 x 5 9) / 19 5 9 18 6 9 1 (9 6 9) x 1 (9 6 9) / 12 x 7 9 17 7 9 1 (8 7 9) x 1 (8 7 9) / 19 7 9 - 12 x 8 9 - 14 x 8 - 9 16 8 9 1 (7 8 9) x 1 (7 8 9) / 18 8 9 - 15 9 9 1 (6 9 9) x 1 (6 9 9) / 17 9 9 - 16 x 2 x 2 (9 2 1) x 24 x 3/1 x 27 x 2 (9 3) x 1 x 2 (9 3) / 1 x 29 x 3 - 1 - 23 x 4 x 4/1 x 2 (7 4 1) x 2 (8 4) x 1 x 2 (8 4) / 1 x 2 (9 4 - 1) X 25 x 5 1 - 2 (6 5 1) x 2 (7 5) x 1 x 2 (7 5) / 1 x 2 (8 5 - 1) x 22 x 6 x 1 x 22 x 6/1 x 2 (5 6 1) x 2 (6 6) x 1 x 2 (6 6) / 1 x 2 (7 6 - 1) x 28 x 6 x 1 / 28 x 6/1/23 x 7 1 2 (4 7 1 ) X 2 (5 7) x 1 x 2 (5 7) / 1 x 2 (6 7 - 1) x 2 (7 x 7 - 1) / 2 (3 8 1) x 2 (4 8) x 1 x 2 (4 8) / 1 x 2 (5 8 - 1) x 26 x 8 x 1/26 x 8/1/2 (2 9 1) x 2 (3 9 ) X 1 x 2 (3 9) / 1 x 23 x 9 - 1 - 2 (4 9 - 1) x 2 (5 1) x 2 x 26 x 1 x 2 x 26/1 x 1 x 2 x 26/1 x 1 x 2 x 26/1 x 1 x 2 x 26/1 x 1 x 2 x 26/1 x 1 x 2 x 26/1 x 1 x 2 x 26/1 (7 - 1) x 2 x 2 (9 1 2) x 23 x 2 x 2 (4 2) x 2 (5 x 2 2) x 2 (7 x 2 - 2) x 2 (8 2 2) x 2 (8 - 2) ) X 2 x 2 (9 2) x 2 22 x 3 x 2 x 2 (3 3) x 2 (7 3 2) x 2 (8 3) x 2 28 x 3 2 - 28 x 3 - 2 28 x 3 x 2/28 x 2/2 (9 - 3) x 2 x 2 (2 4) x 2 x 25 x 4 2 2 (6 4 2) x 26 x 4 2 - 26 x 4 - 2 26 x 4 x 2/26 x 4/2 x 2 (7 4) x 2 27 x 4 - 2 - 2 (9 4) x 2 - 2 (1 5) x 2 x 2 (2 x 5 2) x 24 x 5 2 2 (5 5 2) x 2 (6 5) x 2 2 (8 5) x 2 - 2 (9 5 - 2) x 21 x 6 x 2) x 24 x 6 2 - 24 x 6 - 2 24 x 6 x 2/24 x 6/2 x 2 (5 6) x 2 2 (7 6) x 2 - 2 (8 6 - 2) x 2 (2 x 7 - 2) x 2 (3 7 2) x 2 (4 7 ) X 2 24 x 7 - 2 - 2 (6 7) x 2 - 2 (7 7 - 2) x 2 (2 8 2) x 2 (3 8) x 2 23 x 8 2 - 23 x 8 - 2 23 x 8 x 2/23 x 8/2 x 2 (5 8) x 2 - 2 (6 8 - 2) x 2 (1 9 2) x 2 (2 9) x 2 2 (4 9) x 2 - 2 (5 9 - 2) x 2 (3 1) x 3 x 24 x 1 x 2 (5 - 1) x 3 x 2 (8 1 3) x 2 (9 x 1 3 ) X 2 (9/1 3) x 2 (2 2) x 3 x 22 x 2 x 3 x 2 (7 2 3) x 28 x 2 x 3 / 28/2 x 3 (1 3) x 3 x 2 (3 x 3 3) x 2 (5 x 3 - 3) x 2 (6 3 3) x 2 (7 - 3) x 3 X 21 X 3/2 (5 4 3) x 2 (8 - 4) x 3 x 29 x 4/3 x 2 (3 x 5 - 3) x 2 (4 5 3) X 25 x 5 - 3 2 (9 - 5) x 3 x 2 (9 x 5 3) / 2 (3 6 3) x 26 x 6/3 x 2 (9 6 - 3) X 2 (2 7 3) x 2 (8 7 - 3) x 2 (9 7) x 3/2 (1 8 3) x 22 x 8 x 3/2 (7 8 - 3 ) X 2 (8 8) x 3/2 (1 x 9 3) x 24 x 9/3 x 2 (5 x 9 3) / 2 (6 9 - 3) x 2 (7 9) X 3/2 (2 1) x 4 x 23 x 4 x 4 (4 - 1) x 4 x 2 (7 1 4) x 2 (8 x 1 4) X 2 (8/1 4) x 2 (9 - 1 4) x 2 (1 2) x 4 x 2 (4 x 2 4) x 2 (5 - 2) x 4 x 2 (6 2 4) x 26 x 2 x 2 (8 x 2 - 4) x 29 x 2 4 21 x 3 x 4 x 24 x 3 x 5 3 4) X 2 (6 - 3) x 4 x 26 x 3 4 2 (9 3) x 4/29/3 x 4 x 2 (2 x 4 4) x 23 x 4 x 4/2 ( 4 4 4) x 2 (4 x 4 - 4) x 2 (7 - 4) x 4 x 2 (8 4) x 4/2 (3 5 4) x 26 x 5 - 4 - 2 (7 5) x 4/2 (8 - 5) x 4 x 2 (2 6 4) x 22 x 6 x 4/23 x 6 4 25 x 6 - 4 - 2 (6 6) X 4/28 x 6/4 x 2 (9 - 6) x 4 x 2 (1 7 4) x 2 (5 7) x 4/2 (9 7 - 4) x 2 (1 x 8 4) x 2 (2 x 8 - 4) x 2 (4 8) x 4 / 26 x 8/4 x 2 (8 8 - 4) x 22 x 9 4 2 (3 9) x 4/2 (7 9 - 4) x 29 9 4 2 (6 1 5) x 2 (7 x 1 5) x 2 (7/1 5) x 2 (5 2 5) x 2 (9 - 2 5) x 2 (4 3 5) x 27 x 3 5 - 29 x 3 - 5 2 (3 4 5) x 2 (2 5 5) x 2 (1 6 5) x 2 ( 1 x 7 5) x 23 x 7 5 - 29 8 5 2 (9 8 - 5) x 23 x 9 - 5 28 9 5 2 (8 9 - 5) x 2 (1 1 ) X 6 x 22/1 x 6 x 2 (3 - 1) x 6 x 2 (5 1 6) x 2 (6 x 1 6) x 2 (6/1 6 ) X 2 (7 1) x 6/2 (7 - 1 6) x 28 x 1 x 6/28/1 x 6/2 (9 - 1) x 6/21 x 2 x 6 x 2 (3 X 2 6) x 2 (4 2 6) x 2 (4 - 2) x 6 x 24 x 2 (6 2) x 6/2 (8 - 2) 6) x 28 x 2 6 2 (9 x 2 - 6) x 2 (2 x 3 6) x 2 (3 3 6) x 2 (5 3) x 6/2 (5 - 3) x 6 x 2 (6 x 3 - 6) x 26/3 x 6 x 2 (2 4 6) x 22 x 4 x 6/2 (4 4) X 6/24 x 4 6 25 x 4 6 - 2 (6 - 4) X 6 x 27 x 4 - 6 28 x 4 - 6 - 28/4 x 6 x 2 (1 5 6) X 2 (3 5) x 6/24 x 5 6 - 2 (7 - 5) x 6 x 2 (1 x 6 6) x 2 (2 6) x 6/2 (3 x 6 - 6 ) X 2 (7 x 6 6) / 2 (8 - 6) x 6 x 2 (9 x 6 - 6) / 2 (1 7) x 6/24 x 7 - 6 2 (6 x 7 6) / 29 7 6 2 (9 - 7) x 6 x 21 x 8x 6/22 x 8 6 24 x 8 - 6 - 28 8 6 29 x 8/6 x 2 (2 x 9 - 6) X 2 (6 x 9) / 27 9 6 28 x 9/6 x 2 (9 9 - 6) x 2 (4 1 7) x 2 (5 x 1 7) x 2 (5/1 7) x 2 (6 - 1 7) X 2 (3 2 7) x 2 (7 - 2 7) x 2 (2 3 7) x 25 x 3 7 2 (8 - 3 7) x 2 (1 4 7) x 2 (9 - 4 7) x 2 (1 x 5 7) x 23 x 5 7 29 6 7 28 7 7 27 8 7 26 9 7 2 (3 1 8) x 2 (4 x 1 8) x 2 (4/1 8) x 2 (5 1) x 8/2 (5 - 1 8) x 26 x 1 x 8/26/1 x 8/2 (7 - 1) x 8/2 (2 2 8) x 2 (2 x 2 8) x 23 x 2 x 8 / 23/2 x 8 (4 2) x 8/2 (6 - 2 8) x 27 x 2 8 2 (8 - 2) x 8/2 (8/2 8) x 29 x 2 8 - 2 (1 3 8) x 22 x 3 x 8/2 (3 3) x 8/26 x 3 8 - 2 (7 - 3 8) x 2 (9 - 3) x 8/2 (1 x 4 8) x 2 (2 4) x 8/2 (5 x 4 - 8) x 26/4 x 8 x 2 (8 - 4 8) x 2 (1 5) X 8/2 (4 x 5 - 8) x 26 x 5 - 8 2 (8 x 5 8) / 29 5 8 2 (9 - 5 8) x 21 x 6 x 8/23 6 8 - 25 x 6 - 8 28 6 8 29/6 x 8 x 22 x 7 8 27 7 8 2 (8 x 7 - 8) / 2 (5 x 8 8 ) / 26 8 8 2 (7 x 8 - 8) / 22 x 9 8 - 25 9 8 29 9 8 - 2 (2 1 9) x 2 (3 x 1 9) x 2 (3/1 9) x 2 (4 - 1 9) x 2 (5 - 2 9) x 2 (6/2 9) x 2 ( 1 x 3 9) x 24/3 x 9 x 2 (6 - 3 9) X 2 (7 x 3 - 9) x 2 (9/3 9) x 2 (7 - 4 9) x 29 4 9 27 x 5 - 9 - 28 5 9 2 (8 - 5 9) x 27 6 9 28/6 x 9 x 2 (9 - 6 9) x 2 (3 x 7 - 9) x 25 x 7 - 9 - 26 7 9 25 8 9 29 8 9 - 24 9 9 28 9 9 - 2 (6 1 1) x 3 (7 1) x 1 x 3 (7 1) / 1 x 3 ( 7 x 1 1) x 3 (7/1 1) x 3 (8 1 - 1) x 3 (8 - 1 1) x 38 x 1 x 38/1 x 1 x 38/1/1 x 3 (9 - 1 ) X 1 x 3 (9 - 1) / 1 x 3 (9 x 1 - 1) x 3 (9/1 - 1) x 34 x 2/1 x 3 (5 2 1 ) X 3 (6 2) x 1 x 3 (6 2) / 1 x 3 (7 2 - 1) x 3 (9 - 2 1) x 3 (3 x 3 - 1) x 3 (4 3 1) x 3 (5 3) x 1 x 3 (5 3) / 1 x 3 (6 3 - 1) x 37 x 3 x 1 37 x 3/1 39 x 3 x 1 - 39 x 3/1 - 32 x 4/1 x 3 (3 4 1) x 3 (4 4) x 1 x 3 (4 4) / 1 x 3 (5 4 - 1) x 35 x 4 1 37 x 4 - 1 - 3 (2 5 1) x 3 (3 5) x 1 x 3 (3 5) / 1 x 3 (4 5 - 1) X 34 x 5 1 3 (1 6 1) x 3 (2 6) x 1 x 3 (2 6) / 1 x 3 (3 6 - 1) x 3 (1 7 ) X 1 x 3 (1 7) / 1 x 3 (1 x 7 1) x 3 (2 7 - 1) x 33 x 7 x 1 33 x 7/1 34 x 7 - 1 - 3 (1 8 - 1) x 31 x 8 x 8/1/3 (1 x 9 - 1) x 33 x 9 / 1 - 38 x 9 x 1/38 x 9/1/3 (3 1 ) X 2 x 34/1 x 2 x 3 (5 1 2) x 3 (5 - 1) x 2 x 3 (6 x 1 2) x 3 (6/1 2 ) X 3 (7 - 1 2) x 3 (9 1 - 2) x 3 (2 2) x 2 x 32 x 2 x 3 (3 x 2 2) x 3 (4 2 2) x 3 (5 x 2 - 2) x 3 (6 - 2) x 2 x 3 (8 2 - 2) x 3 (8 - 2 2) x 38 x 2/2 x 38/2 x 2 x 3 (1 3) x 2 x 3 (2 x 3 2) x 3 (3 3 2) x 3 (7 3 - 2) x 3 (7 - 3) x 2 x 3 (9 - 3 2) x 31 x 4 x 2 x 34 x 4/2 x 3 (6 4 - 2) x 3 (8 - 4) x 2 x 39 x 4 x 3 (1 5 2) x 3 (2 x 5 - 2) x 3 (5 5 - 2) x 35 x 5 2 - 3 (9 - 5) x 2 x 3 (1 x 6 2) x 3 (4 6 - 2) x 36 x 6 x 2/37 x 6/2 39 x 6/2 - 3 ( 3 7 - 2) x 36 x 7/2 3 (9 7) / 2 x 3 (2 8 - 2) x 32 x 8/2 x 3 (8 8) / 2 x 3 (1 9 - 2) X 34 X 9 x 2 / 36x 9/2 - 3 (4 1 3) x 3 (5 x 1 3) x 3 (5/1 3) x 3 (6 1) x 3 3 (6 - 1 3) x 37 x 1 x 3 37/1 x 3 3 (8 1) x 3 - 3 (8 - 1) x 3 39 x 1 x 3 - 39/1 x 3 - 3 (3 2 3) x 3 (5 2) x 3 3 (7 2) x 3 - 3 (7 - 2 3) x 3 (9 2 - 3) x 3 (9 - 2) x 3 39 x 2 3 3 (2 3 3) x 33 x 3 x 3 - 3 (4 3) x 3 3 (6 3) x 3 - 36 x 3 3 3 (8 3 - 3) x 3 (8 - 3 3) x 38 x 3 3 - 38 x 3 - 3 38 x 3 x 3/38 x 38 x 38 3/3 x 38/3 x 3 (1 4 3) x 3 (3 4) x 3 3 (5 4) x 3 - 36 x 4 3 - 36 x 4 - 3 36 X 4 x 3/36 x 4/3 x 3 (7 4 - 3) x 3 (9 - 4 3) x 3 (1 x 5 3) x 3 (2 5) x 3 3 (4 5) x 3 - 3 (6 5 - 3) x 36 x 5 - 3 - 3 (1 6) x 3 3 (3 6) x 3 - 33 x 6 3 34 x 6 3 - 34 x 6 - 3 34 x 6 x 3/34 x 6/3 x 3 (5 6 - 3) x 35 x 6 - 3 - 31 x 7 x 3 3 (2 7) x 3 - 3 (4 7 - 3) x 39 x 7/3 3 (1 8) x 3 - 3 (3 8 - 3) x 33 x 8 3 - 33 x 8 - 3 33 x 8 x 3/33 x 8/3) x 32 x 9 3 37 x 9/3 39 9 3 39 x 9/3 - 3 (1 1) x 4 x 32 x 1 x 4 x 32/1 x 4 x 3 (3 1 4) x 3 (3 - 1) x 4 x 3 (4 x 1 4) x 3 (4/1 4) x 3 (5 - 1 4) x 31 x 2 x 4 x 3 (2 2 4) X 3 (2 x 2 4) x 3 (4 - 2) x 4 x 34/2 x 4 x 3 (6 - 2 4) x 3 (6 x 2 - 4) x 3 (8/2 4 ) X 39 x 4/3 (1 3 4) x 3 (4 x 3 - 4) x 3 (5 - 3) x 4 x 36 x 3 (7 - 3 4) x 3 (9 3 - 4) x 3 (1 x 4 4) x 3 (3 x 4 - 4) x 3 (6 - 4) x 4 x 3 (8 4 - 4) x 3 (8 - 4 4) x 38 x 4/4 x 38/4 x 4 × 3 (7 5 - 4) x 3 (7 - 5) x 4 x 3 (9 - 5 4) x 3 (2 x 6 - 4) x 33 x 6 6 - 4) x 3 (8 - 6) x 4 x 3 (5 7 - 4) x 3 (9 - 7) x 4 x 3 (4 8 - 4) x 34 x 8/4 x 39 8 4 32 x 9 x 4/3 (3 9 - 4) x 38 9 4 3 ( 9 9) x 4/3 (2 1 5) x 3 (3 x 1 5) x 3 (3/1 5) x 3 (4 - 1 5) x 3 (1 2 5 ) X 3 (5 - 2 5) x 3 (6/2 5) x 38 X 2 5 3 (1 x 3 5) x 3 (6 - 3 5) x 3 (9/3 5) x 34 x 4 5 3 (7 - 4 5) x 38 x 4 - 5 - 3 (9 4 - 5) x 3 (8 5 - 5) x 3 (8 - 5 5) x 38 x 5/5 x 38/5 x 5 x 3 (7 6 - 5) X 3 (9 - 6 5) x 3 (6 7 - 5) x 39 7 5 32 x 8 5 34 x 8 - 5 - 3 (5 8 - 5) x 35 x 8 / 5 x 38 8 5 3 (4 9 - 5) x 37 9 5 3 (1 1 6) x 3 (2 x 1 6) x 3 (2/1 6) x 3 (3 - 1 6) x 3 (1 x 2 6) x 3 (4 - 2 6) x 3 (4/2 6) x 36 x 2 x 6/3 (7 x 2 - 6) x 37/2 x 6 39/2 x 6 - 34 x 3 (5 - 3 6) x 35 x 3 6 3 (6/3 6) x 37 x 3 6 - 3 (9 3) x 6/39 x 3 - 6 33 x 4 x 6/3 (6 - 4 6) x 3 (8 4) x 6/3 (8/4 6) x 33 x 5 6 3 (7 5) x 6/3 (7 - 5 6) x 3 (9 5 - 6) x 32 x 6/3 (6 6) x 6/3 (8 6 - 6) x 3 (8 - 6 6) x 38 x 6/6 x 38/6 x 6 x 3 (2 x 7 - 6) x 33 x 7 6 - 3 (5 7) x 6/3 (7 7 - 6) x 38 7 6 3 (9 - 7 6) x 3 (4 8) x 6/3 (6 8 - 6) x 36 x 8 / 6 x 37 8 6 3 (3 9) x 6/33 x 9 - 6 3 (5 9 - 6) x 36 9 6 3 (1 x 1 7) x 3 ( 1/1 7) x 3 (2 1) x 7 3 (2 - 1 7) x 33 x 1 x 7 33/1 x 7 3 (4 - 1) x 7 3 (1 2) x 7 3 (2/2 7) x 3 (3 - 2 7) x 3 (5 - 2) x 7 36/2 x 7 37 x 2 7 31 x 3 x 7 3 (3/3 7) x 3 (4 - 3 7) x 3 ( 5 x 3 - 7) x 3 (6 - 3) x 7 39/3 x 7 3 (4/4 7) x 3 (5 - 4 7) x 35 x 4 7 - 3 (7 - 4) x 7 37 x 4 - 7 3 (3 x 5 - 7) x 34 x 5 7 - 3 (5/5 7) x 3 (6 - 5 7) x 3 (8 - 5) X 7 39 5 7 3 (6/6 7) x 3 (7 - 6 7) x 38 6 7 3 (9 6 - 7) x 3 (9 - 6) x 7 32 x 7 7 34 x 7 - 7 37 7 7 3 (7/7 7) x 3 (8 7 - 7) x 3 (8 - 7 7) x 38 x 7/7 x 38/7 x 7 x 7 x 36 8 7 3 (7 8 - 7) x 37 x 8/7 x 3 (8/8 7) x 3 (9 - 8 7) x 35 9 7 3 (6 9 - 7) x 3 (9/9 7) x 3 (1 - 1 8) x 31 x 1 x 8 x 3 (2 - 1) x 8 x 3 (8 1) x 8/39 x 1 x 8/39/1 x 8/3 (2 - 2 8) x 32/2 x 8 x 3 (7 2) x 8/3 (8 x 2 - 8) x 3 (3 - 3 8) x 33 x 3 x 8/33/3 x 8 x 3 (6 3) x 8/3 (4 - 4 8) x 3 (4 x 4 - 8) x 34/4 x 8 x 3 (5 4) x 8/3 (5 - 4) x 8 x 39 4 8 3 (4 5) x 8/3 (5 - 5 8) x 35/5 x 8 x 3 (6 - 5) x 8 x 37 x 5 - 8 - 38 5 8 3 (3 6) x 8/3 (6 - 6 8) x 36/6 x 8 x 37 6 8 3 (7 - 6) x 8 x 3 (2 7) x 8/35 x 7 - 8 - 36 7 8 3 (7 - 7 8) x 37/7 x 8 x 3 (8 - 7) x 8 x 3 (9 7 - 8) x 3 (1 8) x 8/3 (2 x 8 - 8) x 35 8 8 3 (8 8 - 8) x 3 (8 - 8 8) x 3 (8 x 8 8) / 38 x 8/8 x 38/8 x 8 x 31 x 9 x 8/34 9 8 3 (7 9 - 8) x 3 (9 - 9 8) x 39/9 x 8 x 3 (2 1) x 9 - 33 x 9 - 3 (4 - 1) x 9 - 3 (7 1) x 9/38 x 1 x 9/38/1 X 9/3 (9 - 1) x 9/3 (1 2) x 9 - 3 (1 - 2 9) x 34 x 2 x 9/3 (5 - 2) x 9 - 3 (6 2 ) X 9/36 x 2 9 36/2 x 9 - 39 x 2 9 - 31 x 3x 9 - 3 (2 - 3 9) x 34 x 3 9 3 (5 3) x 9/3 (6 - 3) X 9 - 36 x 3 9 - 37/3 x 9 39 3 9 39/3 x 9 - 32 x 4 x 9/3 (3 - 4 9) x 33 x 4 9 3 (4 4) x 9/3 (7 - 4) x 9 - 38 4 9 39 x 4 - 9 - 3 (3 5) x 9/3 (4 - 5 9) x 36 x 5 - 9 37 5 9 3 (8 - 5) x 9 - 3 (2 6) x 9/32 x 6 9 33 x 6 9 - 3 (5 - 6 9) x 35 x 6 - 9 36 6 9 36 x 6 - 9 - 3 ( 9 - 6) X 9 - 3 (1 7) x 9/35 7 9 3 (6 - 7 9) x 3 (9 x 7 9) / 31 x 8 x 9/34 8 9 3 (7 - 8 9) x 3 (9 8 - 9) x 39 x 8/9 x 32 x 39 9 - 33 9 9 34 x 9 - 9 - 3 (7 x 9 9) / 3 (8 9 - 9) x 3 (8 - 9 9) x 38 x 9/9 x 38/9 x 9 x 39 9 9 - 3 (9 x 9 - 9) / 3 ( 4 1 1) x 4 (5 1) x 1 x 4 (5 1) / 1 x 4 (5 x 1 1) x 4 (5/1 1) x 4 (6 1 - 1 ) X 4 (6 - 1 1) x 46 x 1 x 46/1 x 1 x 46/1/1 x 4 (7 - 1) x 1 x 4 (7 - 1) / 1 x 4 (7 x 1 - 1) x 4 (7/1 - 1) x 4 (8 - 1 - 1) x 4 (3 2 1) x 43 x 2 x 1 x 43 x 2/1 X 4 (4 2) x 1 x 4 (4 2) / 1 x 4 (5 2 - 1) x 4 (7 - 2 1) x 4 (8 - 2) x 1 x 4 (8 - 2) / 1 x 4 (9 - 2 - 1) x 4 (2 3 1) x 42 x 3 x 4 (3 3) x 1 x 4 (3 3) / 1 x 4 (4 3 - 1) x 47 x 3 - 1 4 ( 8 - 3 1) x 4 (9 - 3) x 1 x 4 (9 - 3) / 1 x 49 x 3 1 - 4 (1 4 1) x 4 (2 4) x 1 x 4 (2 4) / 1 x 4 (3 4 - 1) x 45 x 4 x 1 45 x 4/1 47 x 4 x 1 - 47 x 4/1 - 4 (9 - 4 1) x 4 (1 5) x 1 x 4 (1 5) / 1 x 4 (1 x 5 1) x 4 (2 5 - 1) x 44 x 5 x 1 44 x 5/1 4 (1 6 - 1) X 41 x 6/1 x 4 (1 x 7 - 1) x 43 x 7 - 1 44 x 7 x 1 - 44 x 7/1 - 43 x 9 1 - 4 ( 2 1) x 2 x 4 (3 1 2) x 43 x 1 x 2 x 43/1 x 2 x 2 (4 x 1 2) x 4 (4 / 1 2) x 4 (5 - 1 2) x 4 (7 1 - 2) X 4 (8 x 1 - 2) x 4 (9 1) x 2 4 (9 - 1 - 2) x 4 (1 2) x 2 x 4 (2 2 2) x 4 (2 x 2 2) x 4 (4 x 2 - 2) x 4 (5 - 2 ) X 2 × 4 (6 2 - 2) x 4 (6 - 2 2) x 46 x 2/2 x 46/2 x 2 x 47 2) x 2 4 (8/2 2) x 49 x 2 2 4 (1 3 2) x 41 x 3 x 2 x 44 x 41 x 3 x 2 x 44 x 3/2 x 44 x 41 x 3 x 2 x 44 x 41 x 3 x 2 x 44 x 3/2 x 44 x 41 x 3 x 2 x 44 x 4 (6 - 3) x 2 x 46 x 3 2 4 (7 3) x 2 4 (7 - 3 2) x 4 (9 3) / 2 x 49/3 x 2 x 4 ( 1 x 4 2) x 4 (2 x 4 - 2) x 43 x 4/2 x 4 (4 4 - 2) x 4 (6 4) x 2 4 (7 - 4) x 2 x 4 (8 4) / 2 x 4 (8 - 4 2) x 42 x 5 X 2 4 (3 5 - 2) x 4 (5 5) x 2 46 x 5 - 2 - 4 (7 5) / 2 x 4 (8 - 5) x 2 x 48 x 5/2 4 (9 5) x 2 - 4 (9 - 5 2) x 4 (2 6 - 2) x 42 x 6/2 x 43 x 2 45 X 6 - 2 - 4 (6 6) / 2 x 4 (8 6) x 2 - 48 x 6 x 2/4 (9 - 6) x 2 x 4 (1 7 - 2) x 42 x 7 X 2 - 4 (3 7) x 2 4 (5 7) / 2 x 4 (7 7) x 2 - 48 x 7/2 - 4 (1 x 8 - 2) x 4 (2 8 ) X 2 4 (4 8) / 2 x 45 x 8/2 4 (6 8) x 2 - 46 x 8 x 2/47 x 8/2 - 4 (1 9) x 2 42 x 9 2 4 (3 9) / 2 x 4 (5 9) x 2 - 49 9 2 4 (1 1) x 3 x 4 (2 1 3) x 42 x 1 x 3 x 42 x 3 x 4 (3 x 1 3) x 4 (3/1 3) x 4 (4 - 1 3) x 4 (8 1 - 3) x 4 (9 x 1 - 3) x 4 (9/1 - 3) x 4 (1 2 3) x 41 x 2 x 3 x 44/2 x 3 x 4 (6/2 3) x 4 (7 2 - 3) x 49 x 2/3) x 4 (3 x 3 - 3) x 4 (5 - 3) x 3 x 4 (6 3 - 3) x 4 ( 6 - 3 3) x 46 x 3/3 x 46/3 x 4 (3 3) x 4 (5 4 - 3) x 4 (6 - 4) x 3 x 4 (7 - 4 3) x 48 x 4 x 4 (4 5 - 3) x 45 x 5 3 - 4 (7 - 5) x 3 x 4 (8 - 5 3) x 4 (3 6 - 3) x 43 x 6/3 x 4 (8 - 6) x 3 x 4 (9 - 6 3) x 4 (2 7 - 3) x 4 (9 - 7) x 3 X 4 (1 8 - 3) x 44 x 8 x 3/49 8 3 4 (1 x 9 - 3) x 42 x 9/3 x 48 9 3 4 (9 9) / 3 x 4 (1 1 4) x 4 (2 x 1 4) x 4 (2/1 4) x 4 (3 - 1 4) x 4 (4 1) x 4 45 x 1 x 4 45/1 x 4 4 (6 1) x 4 - 4 (6 - 1) x 4 47 x 1 x 4 - 47/1 x 4 - 4 (8 - 1) x 4 - 4 (9 1 - 4) x 4 (1 x 2 4) x 4 (3 2 ) X 4 43/2 x 4 (4 - 2 4) x 4 (4/2 4) x 4 (5 2) x 4 - 4 (5 x 2 - 4) x 4 (7 - 2) x 4 4 (8 2 - 4) x 48 x 2 4 4 (9 - 2) x 4 - 4 (2 3) x 4 4 (4 3) x 4 - 4 (5 - 3 4) x 4 (6/3 4) x 4 (7 3 - 4) x 4 (8 - 3) X 4 48 x 3 4 - 48 x 3 - 4 48 x 3 x 4/48 x 3/4 x 4 (1 4) x 4 4 (3 4) x 4 - 44 x 4 4 4 (6 4 - 4) x 4 (6 - 4 4) x 46 x 4 4 - 46 x 4 - 4 46 x 4 x 4/46 x 4/4 x 46/4 x 4 (8/4 4) x 4 (9 - 4) x 4 41 x 5 x 4 4 (2 5) x 4 - 4 (2 x 5 - 4) x 4 (5 5 - 4) x 4 (7 - 5 4) x 4 (1 6) x 4 - 4 (4 6 - 4) x 44 x 6 4 - 44 x 6 - 4 44 x 6 x 4 (8 - 6 4) x 49/6 x 4 x 41 x 49 7 4 4 (9 - 7 4) x 4 (2 8 - 4) x 42 x 8 4 43 x 8 4 - 43 x 8 - 4 43 x 8 x 4/43 x 8 / 4x 44x 8 - 4 - 48 8 4 4 (1 9 - 4) x 47 9 4 4 (1 x 1 5) x 4 (1/1 5) x 4 (2 - 1 5) x 4 (3 1) x 5 44 x 1 x 5 44/1 x 5 4 (5 - 1) x 5 4 (2 2) x 5 42 x 2 x 5 4 (2/2 5) x 4 (3 - 2 5) x 4 (6 - 2) x 5 48/2 x 5 4 (9 2 - 5) x 4 (1 3) x 5 4 (3/3 5) x 4 (4 - 3 5) X 45 x 3 5 4 (7 - 3) x 5 4 (8 3 - 5) x 41 x 4 x 5 4 (4/4 5) x 4 (5 - 4 5) x 4 (7 4 - 5) x 4 (8 - 4) x 5 43 x 5 5 45 x 5 - 5 4 (5/5 5) x 4 (6 5 - 5) x 4 (6 - 5 5) x 46 x 5/5 x 46/5 x 5 x 5 4 (5 6 - 5) x 45 x 6/5 x 4 (6/6 5) X 4 (7 - 6 5) x 49 6 5 4 (4 7 - 5) x 4 (7/7 5) x 48 7 5 4 (8 - 7 5) x 4 (3 8 - 5) x 47 8 5 4 (8/8 5) x 4 (9 - 8 5) x 4 (2 9 - 5) x 46 9 5 4 (9/9 5) x 41 x 1 x 6 x 41/1 x 6 x 6 x 4 ( 2 - 2 6) x 42/2 x 6 x 4 (6 x 2 - 6) x 47 x 2 6 48 x 2 x 6/4 (3 - 3 6 ) X 43/3 x 6 x 4 (4 x 3 - 6) x 4 (9 3 - 6) x 4 (3 x 4 - 6) x 4 (4 - 4 6) x 44 x 4 x 4 (5 - 4) x 6 x 4 (8 4 - 6) x 49 x 4/6 x 4 (5 - 5 6) x 45 / 5 x 6 (6 - 5) x 6 x 4 (7 5 - 6) x 49 5 6 4 (2 x 6 - 6) x 4 (6 6 - 6) x 4 (6 - 6 6) x 46 x 6/6 x 46/6 x 6 x 6 x 48 6 6 42 x 7 6 4 (5 7 - 6) x 47 7 6 4 (7 - 7 6) x 47/7 x 6 x 4 (8 - 7) x 6 x 4 (9 7) x 6/42 x 8 x 6/4 (4 8 - 6) X 46 8 6 4 (8 8) x 6/4 (8 - 8 6) x 48/8 x 6 x 4 (9 - 8) x 6 x 4 (3 9 - 6) x 44 X 9/6 x 45 9 6 4 (7 9) x 6 / 4 (9 - 9 6) x 49/9 x 6 x 7 - 44 x 7 - 4 (5 - 1) x 7 - 4 (1 - 2 7) x 4 (2 2) x 7 - 42 x 2 x 7 - 4 (6 - 2) x 7 - 48/2 x 7 - 4 (1 3) x 7 - 4 (2 - 3 7 ) X 4 (7 - 3) x 7 - 47 x 3 7 - 49 x 3 - 7 41 x 4 x 7 - 4 (3 - 4 7) x 4 (8 - 4) x 7 - 49 4 7 4 (9 4 - 7) x 4 (4 - 5 7) x 47 x 5 - 7 - 48 5 7 4 (8 5 - 7) x 4 (9 - 5) x 7 - 4 (5 - 6 7) x 47 6 7 4 (7 6 - 7) x 47 x 6/7 x 73 x 7 - 7 - 46 7 7 4 (6 7 - 7) x 4 (6 - 7 7) x 46 x 7/7 x 45 8 7 4 (5 8 - 7) x 4 (7 - 8 7) x 43 x 9 - 7 44 9 7 4 (4 9 - 7) x 4 (8 - 9 7) x 45/2 x 8 46 x 2 8 46 x 2 x 8/4 (7 x 2 - 8) x 47/2 x 8 - 4 (1 - 3 8) x 44 x 3 8 44 x 3 x 8/49 3 8 4 (9 3) x 8/4 (2 - 4 8) x 43 x 4 8 43 x 4 x 45 x 4 8 - 47 x 4 - 8 48 4 8 4 (8 4) x 8/49 x 4 - 8 - 4 (3 - 5 8) x 44 x 5 8 - 47 5 8 4 (7 5) x 8/4 (9 5 - 8) x 42 x 6 8 42 x 6 x 8/4 (4 - 6 8) x 46 6 8 4 (6 6) x 8/46 x 6 - 8 - 4 (8 6 - 8) x 48 x 6/8 x 4 (2 x 7 - 8) X 44 x 7 - 8 45 7 8 4 (5 7) x 8/4 (5 - 7 8) x 4 (7 7 - 8) x 44 8 8 4 (4 8) x 8/4 (6 8 - 8) x 4 (6 - 8 8) x 46 x 8/8 x 46/8 x 8 x 43 9 8 4 (3 9) x 8 / 44x 9 - 8 - 4 (5 9 - 8) x 4 (7 - 9 8) x 49 2 9 42/3 x 9 x 4 (5 x 3 - 9) x 48 3 9 4 (1 - 4 9) x 47 4 9 4 ( 2 - 5 9) x 4 (3 x 5 - 9) x 46 5 9 4 (3 - 6 9) x 44/6 x 9 x 45 6 9 4 (9 6 - 9 ) X 49 x 6/9 x 44 7 9 4 (4 - 7 9) x 4 (8 7 - 9) x 43 8 9 4 (5 - 8 9) x 4 (7 8 - 9) x 42 9 9 4 (6 9 - 9) x 4 (6 - 9 9) x 46 x 9/9 x 46/9 x 9 x 49 x 3 1 55 x 4 - 1 57 x 4 1 - 54 x 5 - 1 56 x 5 - 1 - 53 x 6 1 55 x 6 - 1 - 54 x 7 1 - 52 x 9 1 59 9 1 57 x 3 - 2 59 x 3 2 - 53 x 7 - 2 59 8 2 53 x 9 2 - 58 9 2 58 x 2 3 54 x 4 3 58 x 4 - 3 - 58 x 5 x 3/58/5 x 3 x 59 7 3 52 x 8 3 54 x 8 - 3 - 55 x 8 x 3/58 8 3 57 9 3 55 x 3 4 53 x 5 4 5 (4/5 4) x 55 x 5 4 - 56 x 5 x 4/56/5 x 4 x 4/56/5 x 4 x 4/56/5 x 4 x 4/56/5 x 4 x 4/56/5 x 4 x 4/56/5 x 4 6 x 4/59 6 4 58 7 4 57 8 4 56 9 4 57 x 2 5 58 x 3 5 - 58 x 3 - 5 58 x 3 x 5/58 x 3/5 x 4 - 5 56 x 4 x 59 5 5 54 x 6 5 - 54 x 6 - 5 54 x 6/5 x 58 6 5 52 x 7 5 57 7 5 53 x 8 5 - 53 x 8 - 5 53 x 8 x 5/53 x 8/5 x 56 8 5 55 9 5 55 x 4 x 6/59 4 6 54 x 5 x 6/54/5 x 6 x 6/54/5 x 6 x 6/54/5 x 6 x 53 6 - 58 5 6 57 6 6 55 x 7 - 6 - 56 7 6 55 8 6 54 9 6 56 x 2 7 54 x 3 7 59 3 7 53 x 4 7 58 4 7 59 x 4 - 7 - 57 5 7 52 x 6 7 56 6 7 56 x 6 - 7 - 55 7 7 54 8 7 53 9 7 54 x 9 - 7 - 59 2 8 55 x 3 x 8/57 x 3 8 - 58 3 8 59 x 3 - 8 57 4 8 53 x 5 x 8/53/5 x 8 x 56 5 8 55 6 8 5 (9 6) x 8/53 x 7 8 - 54 7 8 5 (8 7) x 8/53 8 8 5 (7 8) x 8/52 9 8 53 x 9 - 8 5 (6 9) x 8/59 1 9 55 x 2 9 58 2 9 57 3 9 55 x 4 9 - 56 4 9 57 x 4 - 9 52 x 5 9 54 x 5 9 - 55 5 9 54 6 9 53 7 9 54 x 7 - 9 52 8 9 51 9 9 5 (2 1 1) x 6 (3 1) x 1 x 6 (3 1) / 1 x 6 (3 x 1 1) x 6 (3/1 1) x 6 (4 1 - 1) x 6 (4 - 1 1) x 64 x 1 x 1) x 64 x 1 x 6) x 64 x 1 x 1) x 64 x 1 x 64 x 64 x 1 x 6) x 64 x 1 x 64 x 1 / 1 x 64/1 x 1 x 64/1/1 x 6 (5 - 1) x 1 x 6 (5 - 1) / 1 x 6 (5 x 1 - 1) x 6 (5/1 - 1) X 6 (6 - 1 - 1) x 6 (1 2 1) x 6 (2 2) x 1 x 6 (2 2) / 1 x 62 x 2 x 1 x 62 x 2/1 x 6 (3 2 - 1) x 6 (5 - 2 1) x 6 (6 - 2) x 1 x 6 (6 - 2) / 1 x 6 (6/2 1) x 6 (7 - 2 - 1) x 68/2 x 1 x 68/2/1 x 69 x 2 x 1 69 x 2/1 6 (1 3) x 1 x 6 (1 3) / 1 x 6 (1 x 3 1) x 6 (2 3 - 1) x 6 (6 - 3 1) x 66 x 3 x 1 66 x 3/1 6 (7 - 3) x 1 x 6 (7 - 3) / 1 x 6 (8 - 3 - 1) x 6 (9/3 1) x 6 (1 4 - 1) x 61 x 4 x 6 (7 - 4 1) x 6 (8 - 4) x 1 x 6 (8 - 4) / 1 x 6 (9 - 4 - 1) x 6 (1 x 5 - 1) x 66 x 5 x 1 - 66 x 5/1 - 6 (8 - 5 1) x 6 (9 - 5) x 1 x 6 (9 - 5) / 1 x 63 x 6 X 1 63 x 6/1 65 x 6 x 1 - 65 x 6 / 1 - 6 (9 - 6 1) x 69 8 1 62 x 9 x 1 62 x 9/1 68 9 1 6 (9 9) x 1 6 (9 9) / 1 6 (1 1 2) x 6 (1 1) x 2 x 6 (2 x 1 2) x 62 x 1 x 2 x 6 (2/1 2) x 62/1 x 2 X 6 (3 - 1 2) x 6 (3 - 1) x 2 x 6 (5 1 - 2) x 6 (6 x 1 - 2) x 6 (6/1 - 2) x 6 (7 1) / 2 x 6 (7 - 1 - 2) x 6 (8 1) x 2 68 x 1/2 x 68/1/2 x 6 (9 - 1) / 2 x 69 x 1 x 2 69/1 x 2 6 (1 x 2 2) x 61 x 2 x 6 (3 x 2 - 2) x 6 (4 2 - 2) x 6 ( 4 - 2) X 2 x 64 x 2/2 x 6 (4/2 2) x 64/2 x 2 x 6 (7 2) x 2 6 (8 - 2 - 2) x 68 x 2 2 6 (2 x 3 - 2) x 6 (3 3 - 2) x 63 x 3 x 2 6 (5 3) / 2 x 6 (5 - 3 2) x 6 (5 - 3) x 2 x 65 x 3 x 2 x 65 x 3 x 2 x 65 x 3 x 2 - 6 ( 6 3) x 2 6 (6/3 2) x 66/3 x 2 x 6 (2 4 - 2) x 62 x 4/2 x 6 (4 4) / 2 x 64 x 4 2 6 (5 4) x 2 65 x 4 - 2 6 (6 - 4 2) x 6 (6 - 4) x 2 x 67 x 4 2 - 68 x 4 - 2 - 6 (8/4 2) x 68/4 × 6 (1 5 - 2) x 6 (3 5) / 2 x 63 x 5 x 5 - 6 (4 5) x 2 64 x 5 - 2 6 (7 - 5 2) x 6 (7 - 5) x 2 x 6 (1 x 6 - 2) x 6 (2 6) / 2 x 6 (3 6) X 2 66 x 6/2 6 (8 - 6 2) x 6 (8 - 6) x 2 x 6 (9 6) x 2 - 6 (1 7) / 2 x 6 (2 7) x 2 64 x 7 2 - 6 (8 7 ) X 2 - 69 7 2 6 (9 - 7 2) x 6 (9 - 7) x 2 x 6 (1 8) x 2 61 x 8/2 x 62 x 8 2 64 x 8 - 2 - 6 (7 8) x 2 - 68 8 2 69 x 8 x 2/61 x 9 (6 9) x 2 - 67 9 2 68 x 9 x 2/6 (1 x 1 3) x 6 (1/1 3) x 6 (2 - 1 3) x 6 (5 1) x 3 6 (6 1 - 3) x 66 x 1 x 3 66/1 x 3 6 (7 - 1) x 3 6 (7 x 1 - 3) x 6 (7/1 - 3) x 6 (8 - 1 - 3 ) X 6 (9 1) x 3 - 6 (2/2 3) x 6 (3 - 2 3) x 63 x 2 x 3 6 (4 2) x 3 6 (5 2 - 3) x 65 x 2 x 3 (8 2) x 3 - 6 (8 - 2) x 3 6 (9 - 2 - 3) x 62 x 3 x 3 6 ( 3 3) x 3 6 (3/3 3) x 6 (4 3 - 3) x 6 (4 - 3 3) x 64 x 3/3 x 64/3 x 3 x 65 x 64/3 x 3 x 65 x 64/3 x 3/3 3 6 (7 3) x 3 - 67 x 3 - 3 6 (9 3) / 3 x 6 (9 - 3) x 3 69 x 3 3 - 6 (2 4) x 3 6 (3 4 - 3) x 63 x 4/3 x 6 (4/4 3) x 6 (5 - 4 3) x 6 (6 4) x 3 - 6 (8 4) / 3 x 6 (1 5) x 3 6 (2 5 - 3) x 62 X 5 x 3 - 63 x 5 3 6 (5 5) x 3 - 6 (5/5 3) x 6 (6 - 5 3) x 6 (7 5) / 3 x 6 (1 6 - 3) x 61 x 6 x 6 (4 6) x 3 - 6 (6 6) / 3 x 6 (6/6 3) x 6 (7 - 6 3) x 68 x 6 x 3/68/6 x 3 x 6/3 6 (1 x 7 - 3) x 6 (3 7) X 3 - 63 x 7 - 3 6 (5 7) / 3 x 6 (7/7 3) x 68 7 3 6 (8 - 7 3) x 6 (2 8) x 3 - 6 (4 8) / 3 x 66 x 8 x 3/67 8 3 6 (8/8 3) x 6 (9 - 8 3) x 6 (1 9) x 3 - 6 (3 9) / 3 x 63 x 9 3 - 66 9 3 66 x 9/3 6 (9/9 3) x 6 (1 - 1 4) x 61 x 1 x 1 4 x 61/1 x 4 x 4 x 6 (7 1 - 4) x 6 (8 x 1 - 4) x 6 (8/1 - 4) x 6 (9 - 1 - 4) x 6 (2 - 2 4) x 62/2 x 4 x 6 (3 - 2) x 4 x 6 (4 x 2 - 4) x 6 (6 2 - 4) x 67 x 2 4 68 x 2/4 x 69/2 x 4 6 (3 - 3 4) x 63/3 x 4 x 4 x 6 (5 3 - 4) x 6 (2 x 4 - 4) x 6 (4 4 - 4) x 64 x 4/4 x 64/4 x 4/4 x 4/4 x 4 x 69 x 4 x 4 / 6 (3 5 - 4) x 6 (5 - 5 4) x 65/5 x 4 x 6 (6 - 5 4 6 (2 6 - 4) x 6 ( 6 - 6 4) x 66 x 6 x 4/6 (1 6 4 6 (1 7 - 4) x 62 x 7 4 67 7 4 6 (7 - 7 4) x 67/7 x 4 x 6 (8 - 7) x 4 x 6 (9 7) / 4 x 6 (1 x 8 - 4) x 62 x 8/4 x 66 8 4 6 (8 8) / 4 x 6 ( 8 - 8 4) x 68/8 x 4 x 6 (9 - 8) x 4 x 69 x 8/4 64 x 9 x 4/65 9 4 6 (7 9) / 4 x 68 X 9/4 6 (9 - 9 4) x 69/9 x 4 x 5 - 66 x 1 x 5 - 66/1 x 5 - 6 (7 - 1) x 5 - 6 (8 1 - 5) x 6 (9 x 1 - 5) x 6 (1 - 2 5) x 63 x 2 x 5 - 6 (4 2) x 5 - 6 (7 2 - 5) x 5 - 6 (2 - 3 5) x 62 x 3 x 5) x 5 - 6 (3 x 3 - 5) x 6 (6 3 - 5) x 6 (9 - 3) x 5 - 6 (2 4) x 5 - 6 (3 - 4 5) x 6 (5 4 - 5) x 65 x 4/5 x 69 4 5 6 (1 5) x 5 - 6 (4 5 - 5) x 6 (4 - 5 5) x 64 x 5/5 x 64/5 x 5 x 5/5 x 64/5 x 5 x 5/5 x 64/5 x 5 x 65 X 5 - 5 - 68 5 5 61 x 6 x 5 - 6 (3 6 - 5) x 6 (5 - 6 5) x 67 6 5 6 (2 7 - 5) x 65 x 7 - 5 - 66 7 5 6 (6 - 7 5) x 6 (1 8 - 5) x 65 8 5 6 (7 - 8 5) x 6 (1 x 9 - 5) x 64 9 5 6 (8 - 9 5) x 6 (2 1) x 6 63 x 1 x 6 63/1 x 6 6 (4 1) x 6 - 6 (4 - 1) x 6 65 x 1 x 6 - 65/1 x 6 - 6 (6 - 1) x 6 - 6 (9 1 - 6) x 6 (1 2) x 6 6 (3 2) x 6 - 6 (5 - 2) x 6 6 (5 x 2 - 6) x 66 x 2 6 66/2 x 6 6 (7 - 2) x 6 - 6 (8 2 - 6) x 6 (1 - 3 6) x 61 x 3 x 6 6 (2 3) x 6 - 62/3 x 6 (6 - 3) x 6 6 (7 3 - 6) x 6 (8 - 3) x 6 - 68 x 3 6 - 68 x 3 - 6 68 x 3 x 6/68 x 3/6 x 69 3 6 69/3 x 6 6 (1 4) x 6 - 6 (2 - 4 6) x 63 x 4 6 6 (6 4 - 6) x 66 x 4 6 - 66 x 4 - 6 66 x 4 x 6/66 x 4/6 x 6 68 4 6 6 (9 - 4) x 6 - 69 x 4 - 6 - 61 x 5 x 5 - 6) x 6 (3 - 5 6) x 6 (5 5 - 6) x 67 5 6 6 (8 - 5) x 6 62 x 6 6 6 (4 6 - 6) x 6 (4 - 6 6) x 64 x 6 6 - 64 x 6 6 66 x 6 - 6 66 x 6 - 6 - 6 (9 - 6) ) X 6 6 (3 7 - 6) x 65 7 6 6 (5 - 7 6) x 6 (2 8 - 6) x 63 x 8 6 - 63 x 8 - 6 63 x 8 x 6/63 x 8/6 x 64 8 6 6 (6 - 8 6) x 6 (1 9 - 6) x 63 9 6 64 x 9 - 6 - 66/9 X 6 x 6 (7 - 9 6) x 69 2 7 6 (9 2 - 7) x 68 3 7 6 (8 3 - 7) x 6 (1 - 4 7) X 67 4 7 6 (7 4 - 7) x 67 x 4/7 x 6 (2 - 5 7) x 65 x 5 - 7 66 5 7 6 (6 5 - 7 ) X 6 (3 - 6 7) x 65 6 7 6 (5 6 - 7) x 64 7 7 6 (4 7 - 7) x 6 (4 - 7 7) x 64 x 7/7 x 64/7 x 73 7 6 (3 8 - 7) x 6 (5 - 8 7) x 62 9 7 6 (2 9 - 7) x 6 (6 - 9 7) x 69 1 8 61/2 x 8 x 65 x 2 8 6 (6 x 2 - 8) x 68 2 8 69 x 2 x 8/6 (4 x 3 - 8) x 66 x 8/67 3 8 6 (9 3 - 8) x 62/4 x 8 x 6 (3 x 4 - 8) x 66 4 8 6 (8 4 - 8) x 68 x 4/8 x 69 / 4 x 8 6 (1 - 5 8) x 62 x 5 8 65 5 8 6 (7 5 - 8) x 6 (2 - 6 8) x 6 (2 x 6 - 8 ) X 63 x 6 x 64 6 8 6 (6 6 - 8) x 63 7 8 6 (3 - 7 8) x 6 (5 7 - 8) x 62 8 8 6 (4 8 - 8) x 6 (4 - 8 8) x 64 x 8/8 x 64/8 x 8 x 61 9 8 62 x 9 x 8 / 6 (3 9 - 8) x 6 (5 - 9 8) x 6 (9 9) x 8/6 (1 1) x 9 62 x 1 x 9 62/1 x 9 6 (3 - 1) X 9 68 1 9 69 x 1 9 69/1 9 61 x 2 x 9 6 (4 - 2) x 9 64/2 x 9 67 2 9 68 x 2 x 9/63 x 3 9 6 (5 - 3) x 9 66 3 9 66/3 x 9 67 x 3 9 - 69 x 3 - 9 64 x 4 x 9/65 4 9 6 (6 - 4) x 9 68/4 x 9 6 (9 4 - 9) x 69 x 4/9 x 64 5 9 6 (7 - 5) x 9 6 (8 5 - 9) x 6 (1 - 6 9) x 63 6 9 66 x 6/9 x 6 (7 6 - 9) x 6 (8 - 6) x 9 62 7 9 6 (2 - 7 9) x 63 x 7 9 - 6 (6 7 - 9) x 6 (9 7) x 9/6 (9 - 7) x 9 61 8 9 62 x 8 x 9/6 (3 - 8 9) x 6 (5 8 - 9) x 6 (8 8) x 9/61 x 9 9 63 x 9 - 9 6 (4 9 - 9) x 6 (4 - 9 9) x 64 x 9/9 x 64/9 x 9 x 9/68 x 2 1 79 x 2 - 1 76 x 3 - 1 74 x 4 1 78 x 4 - 1 - 76 x 5 1 - 73 x 6 - 1 75 x 6 1 - 79 7 1 72 x 8 1 74 x 8 1 - 78 8 1 7 (9 8) x 1 7 (9 8) / 1 72 x 9 - 1 77 9 1 7 (8 9) x 1 7 (8 9) / 1 79 9 - 1 75 x 3 2 73 x 5 2 79 6 2 78 7 2 77 8 2 76 9 2 77 x 2 3 75 x 4 - 3 77 x 4 3 - 74 X 5 - 3 79 5 3 78 6 3 72 x 7 3 7 (3/7 3) x 74 x 7 3 - 77 7 3 78 x 7 x 3/78/7 x 3 x 76 8 3 77 x 8 x 3 / 75 9 3 77 x 3 - 4 79 x 3 4 - 79 4 4 77 x 5 - 4 - 78 5 4 77 6 4 77 x 6 x 4/73 x 7 - 4 75 x 7 - 4 - 76 7 4 76 x 7 x 4/76/7 x 43 8 4 73 x 9 4 - 74 9 4 76 x 2 5 74 x 3 5 79 3 5 73 x 4 5 78 4 5 79 x 4 - 5 - 77 5 5 72 x 6 5 76 6 5 76 x 6 - 5 - 75 7 5 74 8 5 73 9 5 74 x 9 - 5 - 79 2 6 78 3 6 77 4 6 77 X 4 x 6/75 x 5 6 - 76 5 6 75 6 6 74 7 6 74 x 7 x 6/74/7 x 6 x 73 8 6 72 9 6 79 1 7 75 x 2 7 78 2 7 77 3 7 78 x 3 7 - 78 x 3 - 7 78 x 3 x 7/78 x 3/7 x 76 4 7 76 x 4 7 - 76 x 4 - 7 76x 4 x 72 x 4/7 x 72 x 5 74 6 7 74 x 6 7 - 74 x 6 - 7 74 x 6 x 7/74 x 6/7 x 73 7 7 72 8 7 73 x 8 7 - 73 x 8 - 7 73 x 8 X 7/73 x 8/7 x 71 9 7 78 1 8 79 x 1 8 79/1 8 77 2 8 73 x 3 8 76 3 8 77 x 3 x 8/75 4 8 74 5 8 75 x 5 - 8 73 6 8 72 7 8 73 x 7 x 8/73/7 x 8 x 71 8 8 71 x 9 8 77 1 9 78 x 1 9 78/1 9 79 - 1 9 74 x 2 9 76 2 9 75 3 9 72 x 4 9 74 4 9 73 5 9 78 x 5 - 9 - 72 6 9 71 7 9 71 x 8 9 75 x 8 - 9 - 7 (1 1 1) x 8 (2 1) x 1 x 8 (2 1) / 1 X 8 (2 x 1 1) x 8 (2/1 1) x 8 (3 1 - 1) x 8 (3 - 1 1) x 83 x 1 x 1 x 83 x 1/1 x 83 / 1 x 1 x 83/1/1 x 8 (4 - 1) x 1 x 8 (4 - 1) / 1 x 8 (4 x 1 - 1) x 8 (4/1 - 1) x 8 (5 - 1 - 1) x 8 (1 2) x 1 x 8 (1 2) / 1 x 8 (1 x 2 1) x 8 (2 2 - 1) x 8 (2 x 2 - 1) X 8 (4 - 2 1) x 8 (4/2 1) x 8 (5 - 2) x 1 x 8 (5 - 2) / 1 x 8 (6 - 2 - 1) x 86/2 x 1 x 86/2/1 x 88 x 2 88 x 2/1 8 (8/2 - 1) x 8 (1 3 - 1) x 81 x 3 x 1 x 81 x 3 x 1 x 81 x 3 x 1 x 81 x 3 x 1 x 81 x 3 x 1 x 81 x 3 x 1 x 81 x 3 x 1 x 81 x 3 x 1 x 81 x 3 x 1 x 81 x 3 x 1) 8 (5 - 3 1) x 85 x 3 1 8 (6 - 3) x 1 x 8 (6 - 3) / 1 x 8 (6/3 1) x 8 (7 - 3 - 1) x 89/3 x 1 x 89/3/1 x 8 (1 x 4 - 1) x 84 x 4 x 1 84 x 4/1 8 (6 - 4 1) x 8 (7 - 4) x 1 x 8 (7 - 4) / 1 x 8 (8 - 4 - 1) x 88 x 4/1 - 8 (8/4 1) x 83 x 5 1 8 (7 - 5 1) x 8 (8 - 5) x 1 x 8 (8 - 5) / 1 x 8 (9 - 5 - 1) x 8 (8 - 6 1) x 89 6 1 8 (9 - 6) x 1 x 8 (9 - 6) / 1 x 88 7 1 8 (9 7) x 1 8 (9 7) / 1 8 (9 - 7 1) x 82 x 8 x 1 82 x 8/1 84 x 84 x 8/1 - 87 8 1 8 (8 8) x 1 8 (8 8) / 1 89 8 - 1 86 9 1 8 ( 7 9) x 1 8 (7 9) / 1 88 9 - 1 8 (1 x 1 2) x 8 (1/1 2) x 8 (2 - 1 2) x 8 (4 1 - 2) x 8 (5 1) / 2 x 8 (5 x 1 - 2) x 8 (5/1 - 2) x 8 (6 - 1 - 2) x 86 x 1/2 x 86/1/2 x 8 (7 1) x 2 8 (7 - 1) / 2 x 88 x 1 x 2 88/1 x 2 8 (9 - 1) x 2 8 (2/2 2) x 8 (3 2 - 2) x 8 (3 - 2 2) x 83 x 2/2 x 83/2 x 2 x 8 (4 2) / 2 x 84 x 2 x 2 8 (6 2) x 2 8 (7 - 2 - 2) x 87 x 2 2 8 (8 - 2) / 2 x 88 x 2 x 2 - 8 (2 3 - 2) x 82 x 3/2 x 8 (3 3) / 2 x 8 (3/3 2) x 8 (4 - 3 2) x 8 (5 3) x 2 86 x 3 - 2 8 (8 - 3 - 2) x 8 (9 - 3) / 2 x 8 (1 4 - 2) x 8 (2 4) / 2 x 82 x 4 x 2 8 (4 4) x 2 84 x 4 x 2 - 8 (4/4 2) x 8 (5 - 4 2) x 86/2 8 (9 - 4 - 2) x 8 (1 5) / 2 x 8 (1 x 5 - 2) x 8 (3 5) X 2 8 (5/5 2) x 8 (6 - 5 2) x 86 x 5 2 - 89 5 2 81 x 6/2 x 8 (2 6) x 2 83 x 6 - 2 85 x 6 2 - 8 (6/6 2) x 8 (7 - 6 2) x 88 6 2 89/6 x 2 x 8 (1 7) x 2 82 X 7 2 87 7 2 8 (7/7 2) x 8 (8 - 7 2) x 8 (9 7) x 2 - 81 x 8 x 2 82 x 8 x 2 84 x 8/2 86 8 2 8 (8 8) x 2 - 88 x 8/2 - 8 (8/8 2) x 8 (9 - 8 2) x 82 x 9 - 2 85 9 2 8 (7 9) x 2 - 89 9 - 2 8 (9/9 2) x 8 ( 1 - 1 3) x 81 x 1 x 3 (2 - 1) x 3 x 8 (5 1 - 3) x 8 (6 x 1 - 3) x 8 (6 / 1 - 3) x 8 (7 - 1 - 3) x 8 (8 1) / 3 x 89 x 1/3 x 89/1/3 x 8 (2 - 2 3) x 82/2 x 3 x 8 (3 - 2) x 3 x 8 (3 x 2 - 3) x 8 (4 2 - 3) x 8 (7 2) / 3 x 8 (8 - 2 - 3) x 8 (2 x 3 - 3) x 8 (3 3 - 3) x 8 (3 - 3 3) x 83 x 3/3 x 83/3 x 3 x 8 (6 3) / 3 x 8 (9 - 3 - 3) x 8 (2 4 - 3) x 8 (4 - 4 3) x 84/4 x 3 x 8 (5 4) / 3 x 8 (5 - 4) x 3 x 89 4 3 8 (1 5 - 3) x 8 (4 5) / 3 x 8 (5 - 5 3) x 85/5 x 3 x 8 (6 - 5) x 3 X 87 x 5 - 3 - 88 5 3 8 (1 x 6 - 3) x 8 (3 6) / 3 x 8 (6 - 6 3) x 86/6 x 3 x 87 6 3 8 (7 - 6) x 3 x 88 x 6/3 8 (2 7) / 3 x 85 x 7 - 3 - 86 7 3 8 (7 - 7 3) x 87/7 x 3 x 8 (8 - 7) x 3 x 8 (1 8) / 3 x 85 8 3 86 x 8/3 8 (8 - 8 3) x 88 x 8 x 3/88/8 x 3 x 9/3 x 3 x 81 x 9: 9 3 8 (9 - 9 3) x 89/9 x 3 x 8 (3 1) x 4 84 x 1 x 4 84/1 x 4 8 (5 - 1) x 4 8 (6 1 - 4) x 8 (7 1) x 4 - 8 (7 x 1 - 4) x 8 (7/1 - 4) x 8 (8 - 1 - 4) x 88 x 1 x 4 - 88/1 x 4 - 8 (9 - 1) x 4 - 8 (1 - 2 4) x 8 (2 2) x 4 82 x 2 x 4 84 x 2 x 4 - 8 (5 2 - 4) x 8 (6 2) x 4 - 8 (6 - 2) x 4 86 x 2 4 86 x 2/4 x 88/2 x 4 8 (9 - 2 - 4) x 8 (1 3) x 4 8 (2 - 3 4) x 8 (4 3 - 4) x 84 x 3 4 84 x 3/4 x 8 (5 3) x 4 - 8 (7 - 3) x 4 89 3 4 8 (9 3) / 4 x 81 x 4 x 4 82 x 4 x 4 - 8 (3 4 - 4) x 8 (3 - 4 4) x 83 x 4 4 83 x 4/4 x 83/4 x 4 x 8 (4 4) x 4 - 85 x 4 - 4 87 x 4 4 - 88 4 4 8 (8 4) / 4 x 8 (8 - 4) x 4 89 x 4 - 4 - 8 (2 5 - 4) x 8 (3 5) x 4 - 8 (4 - 5 4) x 84 x 5 - 4 87 5 4 8 (7 5) / 4 x 8 (9 - 5) x 4 8 (1 6 - 4) x 8 (2 6) x 4 - 82 x 6 4 82 x 6/4 x 8 (5 - 6 4) x 86 6 4 8 (6 6) / 4 x 86 x 4/8 (1 7) x 4 - 8 (1 x 7 - 4) x 84 x 7 4 - 85 7 4 8 (5 7) / 4 x 8 (6 - 7 4) x 81 x 8 x 4 - 84 8 4 8 (4 8) / 4 x 86 x 8 x 4/86/8 x 4 x 8 ( 7 - 8 4) x 88 x 8/4 83 9 4 8 (3 9) / 4 x 84 x 9 - 4 - 8 (8 - 9 4) x 8 (7 1 - 5 ) X 8 (8 x 1 - 5) x 8 (8/1 - 5) x 8 (9 - 1 - 5) x 8 (4 x 2 - 5) x 8 (6 2 - 5) x 89 2 5 8 (1 - 3 5) x 8 (5 3 - 5) ) X 85 x 3/5 x 87 x 3 88 3 5 89 x 3 5 - 8 (2 - 4 5) x 8 (2 x 4 - 5) x 8 (4 4 - 5) x 87 4 5 8 (3 5 - 5) x 8 (3 - 5 5) x 83 x 5/5 x 83/5 x 5 x 86 5 5 8 (2 6 - 5) x 8 (4 - 6 5) x 85 6 5 8 (9 6) / 5 x 8 (1 7 - 5) x 83 x 7 - 5 84 7 5 8 (5 - 7 5) x 8 (8 7) / 5 x 8 (1 x 8 5) x 83 8 5 8 (6 - 8 5) x 8 (7 8) / 5 x 82 9 5 83 x 9 5 - 8 (6 9) / 5 x 8 ( 7 - 9 5) x 8 (8 1 - 6) x 89 1 6 8 (9 x 1 - 6) x 8 (9/1 - 6) x 81/2 x 6 x 85 x 2 6 8 (7 2 - 6) x 88 2 6 89 x 2/6 x 8 (3 x 3 - 6) x 8 (6 3 - 6) x 86 x 3/6 x 87 3 6 88/3 x 6 8 (1 - 4 6) x 82/4 x 6 x 8 (5 4 - 6) x 86 4 6 88 x 4 x 6/8 (2 - 5 6) x 82 x 5 6 8 (4 5 - 6) x 85 5 6 8 (3 6 - 6) x 8 (3 - 6 6) x 83 x 6/6 x 83 / 6 x 6 x 84 6 6 8 (2 7 - 6) x 83 7 6 8 (4 - 7 6) x 8 (1 8 - 6) x 82 8 6 84 x 6/84/8 x 6 (5 - 8 6) x 81 9 6 8 (1 x 9 - 6) x 82 x 9/6 x 8 (6 - 9 6) x 8 (9 9) / 6 x 88 1 7 8 (9 1 - 7) x 89 x 1 7 89/1 7 8 (5 x 2 - 7) x 87 2 7 8 (8 2 - 7) x 83 x 3 7 86 3 7 8 (7 3 - 7) x 87 x 3/7 x 85 4 7 8 (6 4 - 7) x 8 (1 - 5 7) x 8 (2 x 5 - 7) x 84 5 7 8 (5 5 - 7) x 85 x 5 7 - 8 (2 - 6 7) x 83 6 7 8 (4 6 - 7) x 82 7 7 8 (3 7 - 7) x 8 (3 - 7 7) x 83 x 7/7 x 83/7 x 7 x 81 8 7 8 (2 8 - 7) x 8 (4 - 8 7) x 8 (1 9 - 7) x 81 x 9 7 8 (5 - 9 7) x 8 (1 1) x 8 82 x 1 X 8 82/1 x 8 8 (3 1) x 8 - 8 (3 - 1) x 8 84 x 1 x 8 - 84/1 x 8 - 8 (5 - 1) x 8 - 87 1 8 88 x 1 8 88/1 8 89 - 1 8 81 x 2 x 8 8 (2 2) x 8 - 82 x 2 x 8 - 8 (4 - 2) x 8 84 x 2 8 84/2 x 8 86 2 8 8 (6 - 2) x 8 - 88/2 x 8 - 8 (9 2 - 8) x 8 (1 3) x 8 - 85 3 8 8 (5 - 3) x 8 86/3 x 8 8 (7 - 3) x 8 - 8 (8 3 - 8) x 88 x 3 8 - 88 x 3 - 8 88 x 3 x 8/88 x 3/8 x 81 x 4 8 84 4 8 8 (6 - 4) x 8 86 x 4 8 - 86 X 4 - 8 86 x 4 x 8/86 x 4/8 x 8 (7 4 - 8) x 8 (8 - 4) x 8 - 88/4 x 8 83 5 8 8 (6 5 - 8) x 8 (7 - 5) x 8 88 x 5 - 8 - 8 (9 - 5) x 8 - 8 (1 - 6 8) x 82 6 8 84 x 6 8 - 84 x 6 - 8 84 x 6 x 8/84 x 6/8 x 8 (5 6 - 8) x 8 (8 - 6) x 8 81 7 8 8 (2 - 7 8 ) X 8 (4 7 - 8) x 8 (9 - 7) x 8 81 x 8 8 8 (3 8 - 8) x 8 (3 - 8 8) x 83 x 8 8 - 83 x 8 - 8 83 x 8 x 8/83 x 8/8 x 83/8 x 85 x 8 (2 9 - 8) x 8 (4 - 9 8) x 86 1 9 87 x 1 9 87/1 9 88 - 1 9 85 2 9 8 (6 x 2 - 9) x 89 - 2 9 81/3 x 9 x 84 3 9 8 (4 x 3 - 9) x 8 (9 3 - 9) x 89 x 3/9 x 83 4 9 8 (3 x 4 - 9) x 8 (8 4 - 9) x 82 5 9 85 x 5 - 9 8 (7 5 - 9) x 81 6 9 8 (2 x 6 - 9) x 82/6 x 9 x 8 (1 - 7 9) x 81 x 7 9 8 (5 7 - 9) x 8 (2 - 8 9 X 8 (4 8 - 9) x 8 (3 9 - 9) x 8 (3 - 9 9) x 83 x 9/9 x 83/9 x 9 x 87 x 2 1 98 x 2 - 1 95 x 3 x 1 95 x 3/1 9 (5/3 1) x 98/3 x 1 x 98/3/1 x 94 x 4 1 - 93 x 5 x 1 93 x 5/1 99 5 1 98 6 1 9 (9 6) x 1 9 (9 6) / 1 92 x 7 1 97 7 1 9 (8 7) x 1 9 (8 7) / 1 99 7 - 1 92 x 8 - 1 94 x 8 1 - 96 8 1 9 (7 8) X 1 9 (7 8) / 1 98 8 - 1 95 9 1 9 (6 9) x 1 9 (6 9) / 1 97 9 - 1 9 ( 2/3 2) x 94/3 x 2 x 99 4 2 96 x 5/2 97 x 5 - 2 - 98 5 2 9 (4/6 2) x 95 x 6 / 2 97 6 2 98/6 x 2 x 95 x 7 - 2 - 96 7 2 95 8 2 99 8 - 2 94 9 2 9 (6/9 2) x 98 9 - 2 9 (4 1) x 3 95 x 1 x 3 95/1 x 3 9 (6 - 1) x 3 9 (7 1) / 3 x 98 x 1/3 x 98/1/3 x 9 (9 - 1) / 3 x 9 (3 2) x 3 94 x 2/3 x 9 (6 2) / 3 x 96 x 2 3 9 (7 - 2) x 3 9 (9 2) x 3 - 99 x 2 - 3 9 (2 3) x 3 94 x 3 3 9 (5 3) / 3 x 96 x 3 - 3 9 (8 3) x 3 - 9 (8 - 3) x 3 99 3 3 9 (1 4) x 3 92 x 4/3 x 93 x 4 3 9 (4 4) / 3 x 9 (7 4) x 3 - 98 4 3 9 (9 - 4) x 3 99 x 4 - 3 - 91 x 5 x 3 9 (3 5) / 3 x 9 (6 5) x 3 - 96 x 5 3 - 97 5 3 99 x 5/3 9 (2 6) / 3 x 92 x 6 3 93 x 6 - 3 9 (5 6) x 3 - 95 x 6 3 - 96 6 3 96 x 6 - 3 - 9 (1 7) / 3 x 9 (4 7) x 3 - 95 7 3 91 x 8/3 x 9 (3 8) x 3 - 94 8 3 99 x 8 x 3/9 (2 9) x 3 - 92 x 9 - 3 93 9 3 94 x 9 - 3 - 95 x 9/3 98 x 9 x 3/98/9 x 3 x 99 9 - 3 99 2 4 92/3 x 4 x 98 3 4 97 4 4 96 5 4 94/6 x 4 x 95 6 4 99 x 6 x 4/94 7 4 93 8 4 92 9 4 96 x 9 x 4/96/9 x 4 x 9 (2 1) x 5 93 x 1 x 5 93/1 x 5 9 (4 - 1) x 5 99 1 5 9 (1 2) x 5 9 (5 - 2) x 5 95 x 2 5 96/2 x 5 98 2 5 91 x 3 x 5 9 (6 - 3) x 5 97 3 5 99/3 x 5 95 x 4 - 5 96 4 5 9 (7 - 4) x 5 97 x 4 5 - 92 x 5 5 94 x 5 - 5 95 5 5 9 (8 - 5) x 5 94 6 5 9 (9 - 6) x 5 93 7 5 94 x 7 5 - 92 8 5 91 9 5 98 1 6 99 x 1 6 99/1 6 95/2 x 6 97 2 6 98 x 2/6 x 93 x 3 6 96 3 6 97 x 3 - 6 99 x 3 6 - 94 x 4/6 x 6 95 4 6 99 x 4 x 6/94 5 6 93 6 6 96 x 6/92 7 6 93 x 7 - 6 9 (9 7) / 6 X 91 8 6 92 x 8/6 x 9 (8 8) / 6 x 91 x 9 6 93 x 9 6 - 94 x 9 x 6/94/9 x 6 x 9 (7 9) / 6 x 97 1 7 98 x 1 7 98/1 7 99 - 1 7 94 x 2 7 96 2 7 95 3 7 92 x 4 7 94 4 7 93 5 7 98 x 5 - 7 - 92 6 7 91 7 7 91 x 8 7 95 x 8 - 7 - 96 1 8 97 x 1 8 97/1 8 98 - 1 8 95 2 8 99 - 2 8 91/3 x 8 x 94 3 8 99 x 3 x 8/93 4 8 92 5 8 95 x 5 8 - 91 6 8 92/6 x 8 x 91 x 7 8 93 x 9 x 8/93/9 x 8 x 95 1 9 96 x 1 9 96/1 9 97 - 1 9 93 x 2 9 94 2 9 98 - 2 9 92 x 3 9 93 3 9 95/3 x 9 98 x 3 9 - 98 x 3 - 9 98 x 3 x 9/98 x 3/9 x 99 - 3 9 92 4 9 96 x 4 9 - 96 X 4 - 9 96 x 4 x 9/96 X 4/9 x 91 5 9 91 x 6 9 94 x 6 9 - 94 x 6 - 9 94 x 6 x 9/94 x 6/9 x 9/94 x 6/9 x 9/94 x 6/9 x 9/94 x 6/9 x 9/94 x 6/9 x 9/94 x 6/9 - 9 - 93 x 8 9 - 93 x 8 - 9 93 x 8 x 9/93 x 8/9 x 9 Total 3188 Solutions Out of 6561 CombinationShtp://www3.sympatico.ca/qingzhehuang/game24.htm
