Question: NO CODE IS REQUIRED (Only need an explanation of the algorithm). The question is attached above. Thank you. Give an efficient greedy algorithm which, given

NO CODE IS REQUIRED (Only need an explanation of the algorithm). The question is attached above. Thank you.
Give an efficient greedy algorithm which, given a set X={x1,..,xn} of real numbers in the interval [0,1000], finds minimum number of unit-length closed intervals [a1,b1],..,[ak,bk] (e.g., biai=1 ) such that every number of X is contained in some interval [ai,bi]; prove the correctness and analyze the running time of the algorithm
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