Here is the full list of all 13 Nikoli no Puzzle V Kakuro (Asia) trophies - there are 11 bronze, 1 silver and 1 gold.
Cleared 15 puzzles in a row on shuffle
Cleared all "kakuro" puzzles
Cleared 40 "kakuro" puzzles
Total play time exceeded 24 hours
Cleared 30 "kakuro" puzzles
Cleared 20 "kakuro" puzzles
Cleared 10 "kakuro" puzzles
Quit a puzzle more than 50 times
Paused a puzzle more than 50 times
Used the redo function more than 100 times
Used the undo function more than 100 times
Used the delete function more than 100 times
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