Answer 1: AGENDA
Trace AGENDA through these cells: 1 at row 5, column 1; 2 at row 4, column 1; 3 at row 3, column 1; 4 at row 2, column 1; 5 at row 2, column 2; 6 at row 1, column 2. The letters read A → G → E → N → D → A.
The route rises three times, turns right once, and then rises for the final letter. That produces two turns and three straight segments across a five-row span and a two-column span. It visits an edge five times without entering a corner, assigns the first six cells, and leaves 34 open cells for the remaining paths.