Difference between revisions of "2D array problem"

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{{1010PrAD|ProblemName=Create a Grocery List
 
{{1010PrAD|ProblemName=Create a Grocery List
  
|Problem= Jason is awesome!
+
|Problem= This problem is a simplified version of problem 11 on projecteuler.net. Using the provided array find the 4 numbers along a row, column or diagonal with the greatest product. I have included some skeleton code to make problem a little easier.
  
Example Output<br>
+
For example at row 0, column 0 there are three lines to check.
 +
8 x  2 x 22 x 97 = 34144
 +
8 x 49 x 81 x 52 = 1651104
 +
8 x 49 x 31 x 23 = 279496
 +
 
 +
<br>
 
<pre>
 
<pre>
static      int[] bestNumbers = new int[4];
+
 
static      int  bestNumber = 0;
+
public class matrix {
 +
 
 +
static final int  lineLength = 4;   //length of line to check
 +
static      int[] bestNumbers = new int[lineLength]; //best line found so far
 +
static      int  bestNumber = 0;                   //product of the best line
 
 
static final int  lineLength = 4;
 
 
static final int array[][] ={  
 
static final int array[][] ={  
 
{ 8, 2,22,97,38,15, 0,40, 0,75, 4, 5, 7,78,52,12,50,77,91, 8},
 
{ 8, 2,22,97,38,15, 0,40, 0,75, 4, 5, 7,78,52,12,50,77,91, 8},
Line 44: Line 52:
 
}
 
}
  
System.out.println( "WINNER!! " + bestNumbers[0] + " x " +  bestNumbers[1] +
+
System.out.println( "WINNER!! " + bestNumber );
" x " +  bestNumbers[2] + " x " +  bestNumbers[3] + " = " + bestNumber);  
+
printLine( bestNumbers );
  
 
}
 
}
 +
 +
//prints a nice output for a provided line
 +
public static void printLine( int[] toPrint )
 +
{
 +
}
 +
 +
//calculate the product for the line passed
 +
//if it the product is better than bestNumber update it
 +
public static void checkLine( int[] toCheck )
 +
{
 +
 +
}
 +
 +
//from (row,col) check product of the row
 +
public static void checkRow( int row, int col )
 +
{
 +
int[] tempRow = new int[ 4 ];
 +
...
 +
checkLine( tempRow );
 +
}
 +
 +
//from (row,col) check product of the column
 +
public static void checkCol( int row, int col )
 +
{
 +
int[] tempRow = new int[ 4 ];
 +
...
 +
checkLine( tempRow );
 +
}
 +
 +
//from (row,col) check product of the diagonal
 +
public static void checkDiagonal( int row, int col )
 +
{
 +
int[] tempRow = new int[ 4 ];
 +
...
 +
checkLine( tempRow );
 +
}
 +
 +
}
 +
 
</pre>
 
</pre>
 
|SideSectionTitle=More with Arrays
 
|SideSectionTitle=More with Arrays

Revision as of 03:05, 8 April 2010

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Problem

This problem is a simplified version of problem 11 on projecteuler.net. Using the provided array find the 4 numbers along a row, column or diagonal with the greatest product. I have included some skeleton code to make problem a little easier.

For example at row 0, column 0 there are three lines to check. 8 x 2 x 22 x 97 = 34144 8 x 49 x 81 x 52 = 1651104 8 x 49 x 31 x 23 = 279496



public class matrix {

	static final int   lineLength = 4;					  //length of line to check 
	static       int[] bestNumbers = new int[lineLength]; //best line found so far
	static       int   bestNumber = 0;                    //product of the best line
	
	static final int array[][] ={ 
		{ 8, 2,22,97,38,15, 0,40, 0,75, 4, 5, 7,78,52,12,50,77,91, 8},
		{49,49,99,40,17,81,18,57,60,87,17,40,98,43,69,48, 4,56,62, 0},
		{81,49,31,73,55,79,14,29,93,71,40,67,53,88,30, 3,49,13,36,65},
		{52,70,95,23, 4,60,11,42,69,24,68,56, 1,32,56,71,37, 2,36,91},
		{22,31,16,71,51,67,63,89,41,92,36,54,22,40,40,28,66,33,13,80},
		{24,47,32,60,99, 3,45, 2,44,75,33,53,78,36,84,20,35,17,12,50},
		{32,98,81,28,64,23,67,10,26,38,40,67,59,54,70,66,18,38,64,70},
		{67,26,20,68, 2,62,12,20,95,63,94,39,63, 8,40,91,66,49,94,21},
		{24,55,58, 5,66,73,99,26,97,17,78,78,96,83,14,88,34,89,63,72},
		{21,36,23, 9,75, 0,76,44,20,45,35,14, 0,61,33,97,34,31,33,95},
		{78,17,53,28,22,75,31,67,15,94, 3,80, 4,62,16,14, 9,53,56,92},
		{16,39, 5,42,96,35,31,47,55,58,88,24, 0,17,54,24,36,29,85,57},
		{86,56, 0,48,35,71,89, 7, 5,44,44,37,44,60,21,58,51,54,17,58},
		{19,80,81,68, 5,94,47,69,28,73,92,13,86,52,17,77, 4,89,55,40},
		{04,52, 8,83,97,35,99,16, 7,97,57,32,16,26,26,79,33,27,98,66},
		{88,36,68,87,57,62,20,72, 3,46,33,67,46,55,12,32,63,93,53,69},
		{04,42,16,73,38,25,39,11,24,94,72,18, 8,46,29,32,40,62,76,36},
		{20,69,36,41,72,30,23,88,34,62,99,69,82,67,59,85,74, 4,36,16},
		{20,73,35,29,78,31,90, 1,74,31,49,71,48,86,81,16,23,57, 5,54},
		{01,70,54,71,83,51,54,69,16,92,33,48,61,43,52, 1,89,19,67,48} };


	public static void main(String[] args) {

		for( int row = 0; row < array[0].length; row++ )
		{
			for( int col = 0; col < array.length; col++ )
			{
				checkRow( row, col );
				checkCol( row, col );
				checkDiagonal( row, col );
			}
		}

		System.out.println( "WINNER!! " + bestNumber );
		printLine( bestNumbers );

	}
	
	//prints a nice output for a provided line
	public static void printLine( int[] toPrint )
	{
	}
	
	//calculate the product for the line passed
	//if it the product is better than bestNumber update it
	public static void checkLine( int[] toCheck )
	{
		
	}
	
	//from (row,col) check product of the row
	public static void checkRow( int row, int col )
	{
		int[] tempRow = new int[ 4 ];
		...
		checkLine( tempRow );
	}
	
	//from (row,col) check product of the column
	public static void checkCol( int row, int col )
	{
		int[] tempRow = new int[ 4 ];
		...
		checkLine( tempRow );
	}
	
	//from (row,col) check product of the diagonal
	public static void checkDiagonal( int row, int col )
	{
		int[] tempRow = new int[ 4 ];
		...
		checkLine( tempRow );
	}

}

 

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Solution

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