Place several right isosceles triangles on the grid below. The triangles may not touch, overlap each other or share vertices, and all vertices will lie on the grid nodes. Every cell with the indicated value N has to lie completely within a triangle having N unit length for the two equal right-angled sides.
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Note: The origin A1 is the top left corner of the grid.
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For example, the top left triangle has right-angled side lengths of 2 units, and for the solution will be described as A1/A3/C1.
From left to right, moving downward, the thirteen triangle co-ordinates will be:
2 - A1/A3/C1
5 - A4/A9/F4
2 - A10/A12/C10
2 - B9/D9/D7
4 - B12/F12/F8
3 - D1/G4/G1
5* - E7/L6/H3
2 - G9/I9/I7
3 - H10/H13/K13
3 - J1/J4/M1
2 - K4/M4/M1
4 - I10/M10/M6
2 - J11/L13/L10