Find the integer $n,$ $0 \le n \le 180,$ such that $\cos n^\circ = \cos 568^\circ.$
<|im_start|>system
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<|im_start|>user
Find the integer $n,$ $0 \le n \le 180,$ such that $\cos n^\circ = \cos 568^\circ.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
152
Find the integer $n,$ $0 \le n \le 180,$ such that $\cos n^\circ = \cos 568^\circ.$
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