Hello @Etyfabz, Hearty Welcome to our friendly King Community
I am sorry to hear that you have deleted your game App from your device!! Did you save your game before either through Facebook OR Kingdom account? If you did save the game, then you need not to worry at all.... simply Re-install the game again and log-in and the levels should be intact.
1) If you have already saved your game before through Facebook or Kingdom account, follow the suggestions in "Problems with retrieving Saved game";
2) If you have not saved your game till now, follow the steps in the section part "Didn't save the game, is it too late"! With this step, the "Player Support Team" will be able to retrieve your game progress. But, please note that they can restore those levels with only 2 stars, and cannot give the highest scores that you have previously achieved!
Hope this made sense and clarifies! Please post back and let us know how it went and also if you need further assistance.
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Hope everything works out fine! Have a great rest of the day/evening and wonderful week ahead