This problem is about designing a hike over an irregular landscape like the Grand Canyon. A hard hike goes down the deepest valleys and over the highest peaks. An easy hike is one that avoids any steep steps either up or down. A hard hike seeks out the steepest steps.
All hikes try to get to the destination is the fewest number of steps.
Your job is to find the easiest and hardest hike through the Grand Canyon. The Grand Canyon is a square array, GC, of elevations. Here is the formal definition of properties of a hike according to the description above. A hard hike should have the highest possible peak and lowest possible valley. An easy hike has the smallest value for steepness as possible.