![پاورپوینت-segment-tree](http://farfile.ir/HPicturer.ashx?img=19617MTM3MzU_.gif&w=150&h=150&path=~/content/productpic/)
پاورپوینت Segment Tree
فرمت فایل دانلودی: .rarفرمت فایل اصلی: pptx
تعداد صفحات: 19
حجم فایل: 115 کیلوبایت
قیمت: 6600 تومان
توضیحات:
ارائه کلاسی درس طراحی و پیاده سازی زیر ساخت شبکه های کامپیوتری با عنوان Segment Tree یا درخت بازه ای، در حجم 19 اسلاید.
بخشی از متن:
کار بر روی بازه های بزرگ ، شامل انجام بروز رسانی های تکراری و بدست آوردن یک مقدار برای یک بازه یکی از چالش های مطرح شده در علوم کامپیوتر است. در این نوشتار سعی شده به بررسی داده ساختار پیشرفته ای به نام Segment Tree پرداخته شود که در مسائلی که قابلیت مطرح شدن دارد می تواند بسیار سریع ظاهر شود همچنین داده ساختار دیگری با نام Sqrt Decomposition وجود دارد که کاربردی شبیه به Segment Tree دارد.
![](data:image/png;base64,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Segment Tree را میتوان در هر مسئله ای که شکستن بازه یا پرانتز بندی سازگار باشد مطرح کرد. برای مثال ماکزیمم ، مینیمم ، ضرب کل اعداد بازه ، مجموع کل اعداد بازه ، بزرگترین مقسوم علیه کل اعداد یک بازه و...ممکن است برخی از این مسائل از روش برنامه نویسی پویا یا Dynamic Programming که پیش از این مطرح شد نیز قابل حل باشد در آن صورت نیاز است که چهار هزینه ساخت اولیه ، نگه داری ( مصرف حافظه )، بروز رسانی و پیدا کردن مقدار در شرایط مسئله بررسی شود و روش بصرفه را انتخاب کنیم.
ارائه کلاسی درس طراحی و پیاده سازی زیر ساخت شبکه های کامپیوتری با عنوان Segment Tree یا درخت بازه ای، در حجم 19 اسلاید.
بخشی از متن:
کار بر روی بازه های بزرگ ، شامل انجام بروز رسانی های تکراری و بدست آوردن یک مقدار برای یک بازه یکی از چالش های مطرح شده در علوم کامپیوتر است. در این نوشتار سعی شده به بررسی داده ساختار پیشرفته ای به نام Segment Tree پرداخته شود که در مسائلی که قابلیت مطرح شدن دارد می تواند بسیار سریع ظاهر شود همچنین داده ساختار دیگری با نام Sqrt Decomposition وجود دارد که کاربردی شبیه به Segment Tree دارد.
Segment Tree را میتوان در هر مسئله ای که شکستن بازه یا پرانتز بندی سازگار باشد مطرح کرد. برای مثال ماکزیمم ، مینیمم ، ضرب کل اعداد بازه ، مجموع کل اعداد بازه ، بزرگترین مقسوم علیه کل اعداد یک بازه و...ممکن است برخی از این مسائل از روش برنامه نویسی پویا یا Dynamic Programming که پیش از این مطرح شد نیز قابل حل باشد در آن صورت نیاز است که چهار هزینه ساخت اولیه ، نگه داری ( مصرف حافظه )، بروز رسانی و پیدا کردن مقدار در شرایط مسئله بررسی شود و روش بصرفه را انتخاب کنیم.
فهرست مطالب:
مقدمه
Segment Tree چیست؟
کجا میتوان Segment Tree را مطرح کرد؟
داده ها در Segment Tree چگونه ذخیره می شوند؟
چگونه Segment Tree بسازیم؟ ( Build Method )
بدست آوردن مقدار یک بازه چگونه است؟ ( Get Method )
...
مقدمه
Segment Tree چیست؟
کجا میتوان Segment Tree را مطرح کرد؟
داده ها در Segment Tree چگونه ذخیره می شوند؟
چگونه Segment Tree بسازیم؟ ( Build Method )
بدست آوردن مقدار یک بازه چگونه است؟ ( Get Method )
...