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When it comes to romance stories, it's generally likely that almost any storyline you can think of has already been done before in some other work. Kaguya-Sama: Love Is War goes for a relatively novel approach, and mostly handles it well.
The premise of the series is that Kaguya Shinomiya and Miyuki Shirogane, vice president and president of the Shuchin Academy student council, are in love with each other, but are determined to make the other confess to them, going through all sorts of zany schemes to get the other to tip their hand. Each chapter, many of which are adapted into a third or fourth of an episode, adapts one such "battle" betwen the two leads, with the narrator giving a play-by-play analysis, and announcing the outcome of the "battle" at the end.
As strange as it may sound, I enjoyed the comedic portions less than the serious portions, which help flesh out Kaguya and Shirogane's characters and explain why they act the way they do. As a result, the first half of the first season was a bit of a slog at times, and I dropped it for a while after Episode 2, before picking it up later and seeing the other ten episodes.
Related to the above, the main couple can be frustrating to watch at times, particularly their preferring overly complex ruses and gambits to simply being honest with themselves and each other. However, if you take the time to watch and get to know them, they come off as sympathetic characters who are reasonably flawed, in spite of their talents.
The supporting cast, which consists of Kaguya and Shirogane's fellow student council members, a few schoolmates, their families and others, are generally colorful and add to the story, whether by complicating the main leads' schemes or helping flesh out their characters.
The series occasionally has problems with the pacing. In any given episode/set of chapters, Kaguya and Shirogane make minimal progress with their relationship, and often end up being tripped up by some unforeseen interference. It's wise to give their relationship enough time to develop organically, but it's worth noting that Kaguya and Shirogane have known each other for a year as of the start of the series, during which time they (especially Kaguya) have changed but haven't gotten much closer. By the end of the first season, the two make some progress in realizing their feelings for one another, but decide to temporarily go back to the status quo. It's a good ending point for a 12-Episode Anime, but nowhere near the end of the story.
If you're the kind of person who gets annoyed at romance stories that would end much sooner if one or both of the leads were honest with each other (e.g. Recovery of an MMO Junkie), Kaguya-sama isn't for you. If you're willing to be patient, you should give the first season some time to grow on you, and stick around for at least six episodes, rather than three. Despite my criticisms, I'm interested in seeing the show continue in its second season.
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