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Near Magic Cube (Posted on 2013-08-31) Difficulty: 3 of 5
        A                   B                    C                   D
+---+---+---+---+   +---+---+---+---+    +---+---+---+---+   +---+---+---+---+
|61 |   |   |   |   |14 |   |   |62 |    |03 |55 |   |   |   |52 |   |48 |   |
+---+---+---+---+   +---+---+---+---+    +---+---+---+---+   +---+---+---+---+
|   |   |41 |   |   |   |22 |   |   |    |47 |   |   |   |   |   |   |   |56 |
+---+---+---+---+   +---+---+---+---+    +---+---+---+---+   +---+---+---+---+
|   |21 |   |   |   |   |   |42 |   |    |   |   |   |19 |   |12 |   |   |   |
+---+---+---+---+   +---+---+---+---+    +---+---+---+---+   +---+---+---+---+ 
|   |57 |   |01 |   |02 |   |   |   |    |   |   |11 |   |   |   |20 |   |   |
+---+---+---+---+   +---+---+---+---+    +---+---+---+---+   +---+---+---+---+
Using positive integers from 1 to 64 inclusively, complete the grids A to D so that each of the columns, each of the rows and each of the main diagonals in:
  1. Grid A totals 124.
  2. Grid B totals 128.
  3. Grid C totals 132.
  4. Grid D totals 136.
When the four grids are placed on top of each other, each of the 16 columns equal 130. For example, 61+14+03+52 = 130. Twenty positive integers have already been displayed in the four grids in terms of the above diagram.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
QuestionSalil2013-09-04 08:40:51
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