回答編集履歴
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修正版
    
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            # 修正版
         
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            ```SQL
         
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            create table items(id int primary key,title varchar(10));
         
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            insert into items values
         
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            (1,' 
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            (1,'シーフードカレー'),
         
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            (2,' 
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            (2,'肉じゃが'),
         
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            (3,'品物C');
         
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            create table category_item(id int,item_id int,category_id int,unique(item_id,category_id));
         
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            create table category_item(id int primary key,item_id int,category_id int,unique(item_id,category_id));
         
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            insert into category_item values
         
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            (1,1,1),
         
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            -
            ( 
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            (2,1,2),
         
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            -
            ( 
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            +
            (3,1,3),
         
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            -
            ( 
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            +
            (4,2,1),
         
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            -
            ( 
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            +
            (5,2,2);
         
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            create table categories(id int primary key,category_name varchar(10));
         
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            insert into categories values
         
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            -
            (1,'肉'),
         
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            +
            (1,'肉類'),
         
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            -
            (2,'魚'),
         
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            -
            ( 
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            +
            (2,'野菜類'),
         
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            +
            (3,'魚介類');
         
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            ```
         
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            抽出
         
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            ```SQL
         
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            select * from items as i
         
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            inner join(
         
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            select item_id as id,min(category_id) as category_id from category_item
         
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            group by item_id
         
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            ) as tmp using(id)
         
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            ```
         
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            を実行すると
         
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            -
            |id|title|category_id|
         
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            -
            |:--|:--|--:|
         
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            -
            |1|品物A|1|
         
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            -
            |1|品物A|2|
         
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            -
            |1|品物A|3|
         
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            -
            |1|品物A|1|
         
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            -
            |1|品物A|2|
         
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            -
            |2|品物B|NULL|
         
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            -
            |3|品物C|NULL|
         
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            -
            こうなるため命題が成り立っていません
         
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