NOTE - Please read the information first as it contains important information to understand the problem.
Rules →
• There are 9 Columns(C1,C2,C3,C4,C5,C6,C7,C8,C9) [ Max columns will be 9]
• The number of Rows can vary from 3,6,9,12,15,18 (Max). In this case Number of Rows shall be 12
Number of Rows = No of Tickets (Max Allowed 6) x Rows Per Ticket (Max Allowed 3). Thus, Max Rows can be 18
• Each Row is required to have 4 Blank Spaces and 5 Filled with Numbers
• All numbers available in the Column Array have to be utilized
• This configuration of an shall create a matrix of 9 Columns & 12 Rows (3 x 4 Tickets), which is 108 MATRIX BLOCKS where only a maximum of 60 numbers can be filled out of 108 available blocksrandomly with the above conditions being met 100%.
• The numbers in column must be arranged / sorted in ASCENDING ORDER (For coding logic purpose, as soon as the number is assigned to the new MATRIX MAP use array_shift() or unset() the number so as to avoid repetition
Example - Row 1 and Column 1 shall generate a MATRIX BLOCK - R1C1
Row 3 and Column 7 shall generate a MATRIX BLOCK - R3C7
Matrix Block can also be termed as Matrix Cell for your ease (if needed)
MASTER SET OF ARRAY WITH NUMBERS
array( "C1"=> array( 1, 2, 3, 5, 6, 7, 9 ), //7 Numbers "C2"=> array( 13, 14, 15, 17, 18, 19 ), //6 Numbers "C3"=> array( 21, 22, 23, 24, 25, 26, 30 ), //7 Numbers "C4"=> array( 31, 33, 34, 36, 37, 38, 39 ), //7 Numbers "C5"=> array( 41, 42, 46, 47, 48, 49, 50 ), //7 Numbers "C6"=> array( 51, 52, 53, 54, 55, 57, 58 ), //7 Numbers "C7"=> array( 61, 62, 64, 65, 69, 70 ), //6 Numbers "C8"=> array( 71, 74, 75, 76, 77, 78 ), //6 Numbers "C9"=> array( 82, 83, 85, 87, 88, 89, 90 ) //7 Numbers );
The above array has 60 Numbers to be filled out of 108 MATRIX BLOCK / CELL which meets the condition that for a FULL BLOCK containing 4 MINI BLOCKS WITH 3 ROWS (max. allowed) EACH
I have been able to generate this without any issue meeting all the conditions of the Columns
My Allocation Matrix Array will look like
array( "R1"=> array( "C1"=> true, // Means that MATRIX BLOCK R1C1 will be NOT EMPTY "C2"=> false, // Means that MATRIX BLOCK R1C2 will be EMPTY "C3"=> true, "C4"=> false, "C5"=> true, "C6"=> false, "C7"=> true, "C8"=> true, "C9"=> false ), "R2"=> array( "C1"=> false, "C2"=> true, "C3"=> false, "C4"=> true, "C5"=> false, "C6"=> true, "C7"=> true, "C8"=> true, "C9"=> false ), "R3"=> array( "C1"=> true, "C2"=> true, "C3"=> true, "C4"=> true, "C5"=> false, "C6"=> false, "C7"=> false, "C8"=> false, "C9"=> true ), "R4"=> array( "C1"=> true, "C2"=> true, "C3"=> true, "C4"=> false, "C5"=> true, "C6"=> true, "C7"=> false, "C8"=> false, "C9"=> false ), "R5"=> array( "C1"=> false, "C2"=> false, "C3"=> false, "C4"=> false, "C5"=> true, "C6"=> true, "C7"=> true, "C8"=> true, "C9"=> true ), "R6"=> array( "C1"=> true, "C2"=> true, "C3"=> false, "C4"=> true, "C5"=> false, "C6"=> true, "C7"=> false, "C8"=> false, "C9"=> true ), "R7"=> array( "C1"=> false, "C2"=> false, "C3"=> true, "C4"=> false, "C5"=> true, "C6"=> false, "C7"=> true, "C8"=> true, "C9"=> true ), "R8"=> array( "C1"=> true, "C2"=> false, "C3"=> false, "C4"=> true, "C5"=> false, "C6"=> false, "C7"=> true, "C8"=> true, "C9"=> true ), "R9"=> array( "C1"=> true, "C2"=> false, "C3"=> true, "C4"=> false, "C5"=> true, "C6"=> true, "C7"=> false, "C8"=> false, "C9"=> true ), "R10"=> array( "C1"=> false, "C2"=> true, "C3"=> true, "C4"=> true, "C5"=> true, "C6"=> false, "C7"=> true, "C8"=> false, "C9"=> false ), "R11"=> array( "C1"=> false, "C2"=> true, "C3"=> false, "C4"=> true, "C5"=> true, "C6"=> true, "C7"=> false, "C8"=> true, "C9"=> false ), "R12"=> array( "C1"=> true, "C2"=> false, "C3"=> true, "C4"=> true, "C5"=> false, "C6"=> true, "C7"=> false, "C8"=> false, "C9"=> true ) );
In the above array R stands for Row, C for Column, TRUE/FALSE (Boolean) means that if TRUE a Number can be filled in the resulting MATRIX BLOCK / CELL ( Row[Number]Column[Number] ) else if FALSE the MATRIX BLOCK / CELL shall be EMPTY
The result for the above shall be
PROBLEM :
I am unable to understand what should possibly be the logic & loop used here for creating a MATRIX ALLOCATION MAP as shown above
I have tried while, foreach & for but unable determine the perfect combination which would meet the conditions.
(Tried all of the above with Nested Loops also)
