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During a library burglary at 1:50 a.m., the prosecution offers the following evidences: (i) A CCTV frame shows a silhouette of a person wearing a black hoodie entering the library and leaving with a laptop; the image is too blurry to positively identify; (ii) A neighbor testifies he saw a person of the accused’s build running toward a bus stop a few blocks away around 2:10 a.m.; he cannot positively identify the accused; (iii) The accused testifies he was at home and provides a time-stamped ride-hailing receipt showing pickup at 1:25 a.m. near his residence and drop-off at 2:40 a.m., and the ride service confirms the times; (iv) A library logbook entry is found later with a note containing the laptop’s serial number and the initials “A.D.”; the defense claims those initials could belong to any staff member and questions the chain of custody. (a) Identify whether the above evidences are direct or circumstantial and state the controlling rule from Rule 133 on weight and sufficiency. (b) If the evidences are circumstantial, discuss whether the facts proven satisfy the four requisites for circumstantial evidence to convict beyond reasonable doubt, and conclude whether the prosecution has proven guilt beyond reasonable doubt.