Posts: 7
Name: Steven Wu
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Hi again to all of you guys here…
May this thread fits on this section. A friend of mine gave me this enigma to do, written in excel but I can’t attach .xls file here, so you can see the file at Mediafire.com (a file hosting service) name Enigma.xls:
http://www.mediafire.com/?sharekey=1...4e75f6e8ebb871
Enigma:
There is almost an infinite amount (with 10^92 possibilities) of tables (Table1, Table 2, Table 3, Table 4, Table 5,...), with ten rows (row 0,1,2,......9) in each.
Inside each table is numbers 1 to 92, 93 and 184, 185 to 276, and 277 to 284 with its position lie on their certain rows.
Here I gave the example tables that have been filled in for 40 tables. By finding the patterns/ formulas, my friend asked me to extend the tables to fill in the blank tables 41,42,43,etc as given beneath of Table 40.
If these tables are using permutation method, then how do you find the formula for its permutation?
Thanks.
PS:
Someone has made a code in java like this:
Code:
import java.util.*;
public class Table {
static Scanner console = new Scanner(System.in);
public static void main (String[] args)
{
String list = "010509131721252933374145495357616569737702030406070810111214" +
"151618192022232426272830313234353638394042434446474850515254" +
"5556585960626364666768707172747576787980818283848586878889909192";
String number;
int counter = 0;
int counter2 = 0;
int randomNumber = 0;
Vector row_selection = new Vector();
Vector row_0 = new Vector();
Vector row_1 = new Vector();
Vector row_2 = new Vector();
Vector row_3 = new Vector();
Vector row_4 = new Vector();
Vector row_5 = new Vector();
Vector row_6 = new Vector();
Vector row_7 = new Vector();
Vector row_8 = new Vector();
Vector row_9 = new Vector();
for (counter2=0; counter2<40;)
{
//-----------------------------------------------------------------------
for (counter=0; counter<10; counter++)
{
do{randomNumber = (int) (10 * Math.random());}
while(randomNumber == 10);
row_selection.addElement(randomNumber);
}
//-----------------------------------------------------------------------
for (counter=0; counter<10;)
{
number = list.substring(counter2, counter2 + 2);
if (row_selection.indexOf(counter) != -1)
{
if (counter2 >= 20 && counter2 <30)
{
switch (counter)
{
case 0:
if(row_0.indexOf("21",0) != -1)
{
row_0.insertElementAt(number, (row_0.indexOf("21",0)));
}
else
{
row_0.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 1:
if(row_1.indexOf("21",0) != -1)
{
row_1.insertElementAt(number, (row_1.indexOf("21",0)));
}
else if (row_1.indexOf("25",0) != -1)
{
row_1.insertElementAt(number, (row_1.indexOf("25",0)));
}
else if (row_1.indexOf("29",0) != -1)
{
row_1.insertElementAt(number, (row_1.indexOf("29",0)));
}
else if (row_1.indexOf("33",0) != -1)
{
row_1.insertElementAt(number, (row_1.indexOf("33",0)));
}
else if (row_1.indexOf("37",0) != -1)
{
row_1.insertElementAt(number, (row_1.indexOf("37",0)));
}
else
{
row_1.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 2:
if(row_2.indexOf("21",0) != -1)
{
row_2.insertElementAt(number, (row_2.indexOf("21",0)));
}
else if (row_2.indexOf("25",0) != -1)
{
row_2.insertElementAt(number, (row_2.indexOf("25",0)));
}
else if (row_2.indexOf("29",0) != -1)
{
row_2.insertElementAt(number, (row_2.indexOf("29",0)));
}
else if (row_2.indexOf("33",0) != -1)
{
row_2.insertElementAt(number, (row_2.indexOf("33",0)));
}
else if (row_2.indexOf("37",0) != -1)
{
row_2.insertElementAt(number, (row_2.indexOf("37",0)));
}
else
{
row_2.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 3:
if(row_3.indexOf("21",0) != -1)
{
row_3.insertElementAt(number, (row_3.indexOf("21",0)));
}
else if (row_3.indexOf("25",0) != -1)
{
row_3.insertElementAt(number, (row_3.indexOf("25",0)));
}
else if (row_3.indexOf("29",0) != -1)
{
row_3.insertElementAt(number, (row_3.indexOf("29",0)));
}
else if (row_3.indexOf("33",0) != -1)
{
row_3.insertElementAt(number, (row_3.indexOf("33",0)));
}
else if (row_3.indexOf("37",0) != -1)
{
row_3.insertElementAt(number, (row_3.indexOf("37",0)));
}
else
{
row_3.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 4:
if(row_4.indexOf("21",0) != -1)
{
row_4.insertElementAt(number, (row_4.indexOf("21",0)));
}
else if (row_4.indexOf("25",0) != -1)
{
row_4.insertElementAt(number, (row_4.indexOf("25",0)));
}
else if (row_4.indexOf("29",0) != -1)
{
row_4.insertElementAt(number, (row_4.indexOf("29",0)));
}
else if (row_4.indexOf("33",0) != -1)
{
row_4.insertElementAt(number, (row_4.indexOf("33",0)));
}
else if (row_4.indexOf("37",0) != -1)
{
row_4.insertElementAt(number, (row_4.indexOf("37",0)));
}
else
{
row_4.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 5:
if(row_5.indexOf("21",0) != -1)
{
row_5.insertElementAt(number, (row_5.indexOf("21",0)));
}
else if (row_5.indexOf("25",0) != -1)
{
row_5.insertElementAt(number, (row_5.indexOf("25",0)));
}
else if (row_5.indexOf("29",0) != -1)
{
row_5.insertElementAt(number, (row_5.indexOf("29",0)));
}
else if (row_5.indexOf("33",0) != -1)
{
row_5.insertElementAt(number, (row_5.indexOf("33",0)));
}
else if (row_5.indexOf("37",0) != -1)
{
row_5.insertElementAt(number, (row_5.indexOf("37",0)));
}
else
{
row_5.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 6:
if(row_6.indexOf("21",0) != -1)
{
row_6.insertElementAt(number, (row_1.indexOf("21",0)));
}
else if (row_6.indexOf("25",0) != -1)
{
row_6.insertElementAt(number, (row_6.indexOf("25",0)));
}
else if (row_6.indexOf("29",0) != -1)
{
row_6.insertElementAt(number, (row_6.indexOf("29",0)));
}
else if (row_6.indexOf("33",0) != -1)
{
row_6.insertElementAt(number, (row_6.indexOf("33",0)));
}
else if (row_6.indexOf("37",0) != -1)
{
row_6.insertElementAt(number, (row_6.indexOf("37",0)));
}
else
{
row_6.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 7:
if(row_7.indexOf("21",0) != -1)
{
row_7.insertElementAt(number, (row_7.indexOf("21",0)));
}
else if (row_7.indexOf("25",0) != -1)
{
row_7.insertElementAt(number, (row_7.indexOf("25",0)));
}
else if (row_7.indexOf("29",0) != -1)
{
row_7.insertElementAt(number, (row_7.indexOf("29",0)));
}
else if (row_7.indexOf("33",0) != -1)
{
row_7.insertElementAt(number, (row_7.indexOf("33",0)));
}
else if (row_7.indexOf("37",0) != -1)
{
row_7.insertElementAt(number, (row_7.indexOf("37",0)));
}
else
{
row_7.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 8:
if(row_8.indexOf("21",0) != -1)
{
row_8.insertElementAt(number, (row_8.indexOf("21",0)));
}
else if (row_8.indexOf("25",0) != -1)
{
row_8.insertElementAt(number, (row_8.indexOf("25",0)));
}
else if (row_8.indexOf("29",0) != -1)
{
row_8.insertElementAt(number, (row_8.indexOf("29",0)));
}
else if (row_8.indexOf("33",0) != -1)
{
row_8.insertElementAt(number, (row_8.indexOf("33",0)));
}
else if (row_8.indexOf("37",0) != -1)
{
row_8.insertElementAt(number, (row_8.indexOf("37",0)));
}
else
{
row_8.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 9:
if(row_9.indexOf("21",0) != -1)
{
row_9.insertElementAt(number, (row_9.indexOf("21",0)));
}
else if (row_9.indexOf("25",0) != -1)
{
row_9.insertElementAt(number, (row_9.indexOf("25",0)));
}
else if (row_9.indexOf("29",0) != -1)
{
row_9.insertElementAt(number, (row_9.indexOf("29",0)));
}
else if (row_9.indexOf("33",0) != -1)
{
row_9.insertElementAt(number, (row_9.indexOf("33",0)));
}
else if (row_9.indexOf("37",0) != -1)
{
row_9.insertElementAt(number, (row_9.indexOf("37",0)));
}
else
{
row_9.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
}
}
else{
switch (counter)
{
case 0:
row_0.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 1:
row_1.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 2:
row_2.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 3:
row_3.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 4:
row_4.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 5:
row_5.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 6:
row_6.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 7:
row_7.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 8:
row_8.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 9:
row_9.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
}
}
}
else {counter++;}
}
}
//-----------------------------------------------------------------------
System.out.println(" 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20");
System.out.println("-------------------------------------------------------------------------------");
System.out.println(row_0);
System.out.println(row_1);
System.out.println(row_2);
System.out.println(row_3);
System.out.println(row_4);
System.out.println("-------------------------------------------------------------------------------");
System.out.println(row_5);
System.out.println(row_6);
System.out.println(row_7);
System.out.println(row_8);
System.out.println(row_9);
}
}
Last edited by thinker; 05-07-2009 at 09:05 AM..
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