In Case #1, the audience will eventually produce a standing ovation on its own, without you needing to add anyone -- first the audience member with Si = 0 will stand up, then the audience member with Si = 1 will stand up, etc.
In Case #2, a friend with Si = 0 must be invited, but that is enough to get the entire audience to stand up.
In Case #3, one optimal solution is to add two audience members with Si = 2.
In Case #4, there is only one audience member and he will stand up immediately. No friends need to be invited.
In Case #1, the audience will eventually produce a standing ovation on its own, without you needing to add anyone -- first the audience member with Si = 0 will stand up, then the audience member with Si = 1 will stand up, etc.
In Case #2, a friend with Si = 0 must be invited, but that is enough to get the entire audience to stand up.
In Case #3, one optimal solution is to add two audience members with Si = 2.
In Case #4, there is only one audience member and he will stand up immediately. No friends need to be invited.
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