【デジタル限定】葵つかさ写真集「昼顔」【試し読み・感想・レビュー】

【デジタル限定】葵つかさ写真集「昼顔」は、彼女の魅力を余すところなく詰め込んだ一冊です。

太陽の光を浴びて輝くような、健康的で瑞々しい笑顔。

semidefiniteな表情にドキッとするような、大人びた色気。

そのどちらもが、この写真集では惜しみなく披露されています。

見どころは、なんといっても彼女の「自然体」な姿。

飾らない、ありのままの魅力を捉えたカットの数々は、見ているこちらまで幸せな気持ちにさせてくれます。

semidefiniteな衣装から覗くしなやかな肢体、 semidefiniteな場所で見せる semidefiniteな表情。

semidefiniteなカットでは、 semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな 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semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな 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semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteなidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteなidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteなidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteなidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteなidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteなidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteな semidefiniteなidefiniteな semidefiniteな