What are the locations of Rainford's journey from the time he falls of the yacht to the end of "The Most Dangerous Game"?

"The Most Dangerous Game" starts out with big game hunter
Sanger Rainsford on a yacht in the Caribbean Sea, bound for his next hunt along the
Amazon River in South America. The yacht is passing the mysterious Ship-Trap Island when
Rainsford falls of the yacht. He swims ashore to the island, making his way to an
unexpected mansion owned by General Zaroff, a former Russian Cossack and big game hunter
himself. Before Zaroff begins his nightly hunt, he reveals to Rainsford a false channel
that he uses as a lure to wreck ships upon the reef. The next day, Zaroff hunts
Rainsford. The general warns Rainsford about the Death Swamp located on the island,
which includes an area of quicksand. Rainsford heads into the wooded wilderness of the
island, managing to avoid the quicksand, and he eventually escapes by reaching a cliff
by the sea that overlooked a cove from which he could see Zaroff's chateau. Rather than
facing the armed Zaroff and his dogs, Rainsford chose to jump from the cliff into the
waters below.