Place undrained pineapple and cream of coconut in largecontainer. Combine sugar and water. Bring to boil over medium heat and boil 1 minute. Cool. Add sugar syrup and rum to pineapple mixture. Freeze until firm, about 4 to 6 hours. Process in blender or food processor until smooth but not completely thawed. Freeze until firm. Soften lightly before serving.
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