Mountain hiking is a very adventurous, yet somewhat dangerous, pastime. On certain mountain ranges, the heights could vary sharply. An amateur hiker can move to an adjacent (left/right, up/down, but not diagonally) location only if the height difference with the current location is at most 1. Given a height map of a mountain range, determine the distance of the shortest viable path between the left and the right edges.
The input file DATA4.txt will contain 5 test cases. Each test case consists of a 10x10 map of digits 0 to 9, each digit representing the height of that location. A line of hyphens ---------- follows each test case for visual separation.
The output file OUT4.txt will contain 5 lines, the lest number of steps to cross the mountain range in each case. If the hiker can't get across, output "IMPOSSIBLE" (without quotes) instead.
Notes: the hiker could start at any of the left-most positions. The steps counted are the transitions from one location to the next. Thus appearing in that very first location requires no steps.
9324892342 1334343293 3524523454 2634232043 0343259235 2454502352 4563589024 7354354256 9343221234 2653560343 ----------