Medium Education-X Group Puzzle
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Place each element of the group (E D U C A T I O N) exactly once in each row, each column, each 3x3 square, and each diagonal.

Deductive steps to solve the puzzle

The moves within each step may be done in any order.

All of the moves within a particular step must be done before all of the moves in the subsequent step can be guaranteed to be completed.

Rows are numbered top to bottom, columns from left to right, and rectangles from left to right and then top to bottom. Coordinates are (col, row). Precise details on numbering within each group are specified in the on-line instructions .

Step 1. There are 11 independent moves.

• The only spot left for D in the 1st column is at (1, 6).
• The only spot left for N in the 5th 3x3 square is at (4, 4).
• The only spot left for O in the 6th 3x3 square is at (9, 5).
• The only spot left for A in the 6th 3x3 square is at (8, 4).
• The only spot left for O in the 7th 3x3 square is at (2, 8).
• The only spot left for D in the 7th 3x3 square is at (3, 7).
• The only spot left for C in the 8th 3x3 square is at (6, 8).
• The only spot left for C in the 1st diagonal is at (9, 9).
• The only spot left for A in the 1st diagonal is at (3, 3).
• The only spot left for A in the 2nd diagonal is at (1, 9).
• The only spot left for I in the 2nd diagonal is at (5, 5).

Step 2. There are 11 independent moves.

• The only spot left for D in the 4th row is at (7, 4).
• The only spot left for U in the 1st column is at (1, 8).
• The only spot left for N in the 3rd column is at (3, 9).
• The only spot left for I in the 3rd column is at (3, 4).
• The only spot left for O in the 4th column is at (4, 3).
• The only spot left for I in the 1st 3x3 square is at (2, 3).
• The only spot left for A in the 4th 3x3 square is at (2, 6).
• The only spot left for D in the 5th 3x3 square is at (4, 5).
• The only spot left for I in the 8th 3x3 square is at (4, 8).
• The only spot left for N in the 9th 3x3 square is at (7, 8).
• The only spot left for O in the 1st diagonal is at (6, 6).

Step 3. There are 7 independent moves.

• The only spot left for E in the 8th row is at (5, 8).
• The only spot left for E in the 3rd column is at (3, 5).
• The only spot left for T in the 1st 3x3 square is at (2, 2).
• The only spot left for U in the 4th 3x3 square is at (2, 4).
• The only spot left for E in the 7th 3x3 square is at (2, 9).
• The only spot left for O in the 8th 3x3 square is at (5, 7).
• The only spot left for U in the 1st diagonal is at (7, 7).

Step 4. There are 7 independent moves.

• The only spot left for E in the 4th row is at (6, 4).
• The only spot left for U in the 6th column is at (6, 3).
• The only spot left for T in the 7th column is at (7, 3).
• The only spot left for E in the 6th 3x3 square is at (7, 6).
• The only spot left for U in the 6th 3x3 square is at (8, 5).
• The only spot left for N in the 8th 3x3 square is at (6, 7).
• The only spot left for T in the 9th 3x3 square is at (8, 7).

Step 5. There are 9 independent moves.

• The only spot left for T in the 4th column is at (4, 9).
• The only spot left for E in the 8th column is at (8, 3).
• The only spot left for E in the 2nd 3x3 square is at (4, 2).
• The only spot left for U in the 3rd 3x3 square is at (9, 2).
• The only spot left for T in the 5th 3x3 square is at (5, 6).
• The only spot left for C in the 6th 3x3 square is at (7, 5).
• The only spot left for E in the 9th 3x3 square is at (9, 7).
• The only spot left for U in the 2nd diagonal is at (4, 6).
• The only spot left for C in the 2nd diagonal is at (8, 2).

Step 6. There are 4 independent moves.

• The only spot left for D in the 2nd row is at (5, 2).
• The only spot left for C in the 1st 3x3 square is at (1, 3).
• The only spot left for D in the 3rd 3x3 square is at (9, 3).
• The only spot left for U in the 8th 3x3 square is at (5, 9).

Step 7. There are 2 independent moves.

• The only spot left for N in the 1st 3x3 square is at (1, 2).
• The only spot left for N in the 2nd 3x3 square is at (5, 3).

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