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Simulate a box tilting to the right, causing stones to fall until they hit obstacles or the floor. Re-arrange the characters in a given grid to reflect the resulting state of the box.

Imagine a squirrel trying to collect nuts efficiently. Find the minimum distance the squirrel must travel to collect all nuts and bring them to a tree, given the locations of the squirrel, tree, and nuts.

Determine if a given string can be segmented into a space-separated sequence of words from a dictionary. You are given a string and a dictionary of words; can you break the string down using words from the dictionary?