1. A digest creating device, comprising: an input unit for inputting replay information, the replay information including: (a) replay broadcasting section information for specifying a broadcasting time zone of a replay video/sound; (b) replay reference section information for specifying an actual filming/recording time zone of the replay video/sound, and (c) digest condition information for designating a length of a digest; a replay importance degree computing unit that computes an importance degree of the replay video/sound by executing a plurality of processes, the plurality of processes including: (1) computing a number of replays and judging that in the case where the number of replays is greater than a predetermined number, the replay has a high importance degree; (2) computing an interval between predetermined positions of the replay broadcasting section and the replay reference section and judging that in the case where an interval between the replay broadcasting section start time and the replay reference section start time is greater than a predetermined length, the replay has a high importance degree; (3) computing a speed of replay broadcasting, and judging that in the case where the replay broadcasting speed is less than a predetermined speed, the replay has a high importance degree; and (4) computing a number of cut switches of the replay and judging that in the case where the number of cut switches in the replay broadcasting section is greater than a predetermined number of cut switches, the replay has a high importance degree; wherein parameters for the processes are obtained from the replay information, and the replay information is output with the importance degree in which the importance degree is added to the replay information; and a digest creating unit that receives the replay information with the importance degree and the digest condition information, and sets the replay video/sound as a digest candidate among a plurality of digest candidates to form a group of digest candidates; wherein the group of digest candidates includes a plurality of combinations of digest candidates and a combination of digest candidates is selected from the plurality of combinations based on: (i) a composite importance degree of the combination of digest candidates that is computed from the importance degrees of each digest candidate and (ii) a range of the designated length of the digest; and wherein the digest creating unit, in the procedure of selecting a combination of digest candidates, assumes all the replays as digest candidates, determines whether or not the total time length of the replays of the digest candidates exceeds a designated scale of the digest, further if exceeding, the digest creating unit checks whether or not there are any pieces of replay information in which the replay reference sections overlap with each other, and further if existing, the digest creating unit deletes the replay information with the smallest replay importance degree from the digest candidates.