Number Pyramid 1
Reconstruct the Number Pyramid in this deceptively tough Logic Puzzle.
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A Number Pyramid is composed of the 10 different numbers 0-9 with a top row of 1 number resting on a second row of 2 sitting on a third row of 3 supported by a bottom row of 4. For example, a Number Pyramid could be:


         0
        1 2
       3 4 5
      6 7 8 9


Given the clues below, can you determine the composition of Number Pyramid 1?

  1. The leftmost number in the bottom row subtracted from the topmost number in the pyramid equals 6.
  2. The sum of the topmost number and the leftmost numbers of the second through fourth rows equals 21.
  3. The numbers making up the third row of Number Pyramid 1 sum to 14.
  4. The rightmost number in the bottom row minus the sum of the two numbers in the second row equals 1.
  5. The sum of the topmost number and the rightmost numbers of the second through bottom rows equals 25.
  6. In the bottom row, the second number from the right is 2.