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Вычисление НОП на сжатой матрице
Для нашего примера итоговая таблица выглядит так:
[[Файл{| style=" border-collapse:collapse; text-align: center"| style="background-color: #FFEECC; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 0 0 1px"|| style="background-color: #FFEECC; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 0 0 0"|| style="background-color: #FFEECC; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px"|<tex>a</tex>| style="background-color: #FFEECC; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px"|<tex>b</tex>| style="background-color: #FFEECC; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px"|<tex>b</tex>| style="background-color: #FFEECC; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px"|<tex>a</tex>| style="background-color: #FFEECC; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px"|<tex>b</tex>| style="background-color: #FFEECC; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px"|<tex>a</tex>|-| style="background-color: #FFEECC; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 0 0 0 1px"|| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>0</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>0</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>0</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>0</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>0</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>0</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>0</tex>|-| style="background-color: #FFEECC; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px"|<tex>b</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px"|<tex>0</tex>| style="background-color: #FFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>0</tex>| style="background-color: #FFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>1</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px;border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>1</tex>| style="background-color: #FFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>1</tex>| style="background-color: #FFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>1</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>1</tex>|-| style="background-color: #FFEECC; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px"|<tex>a</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>0</tex>| style="background-color: #FFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>1</tex>| style="background-color: #FFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>1</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>1</tex>| style="background-color: #FFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>2</tex>| style="background-color: #FFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>2</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>2</tex>|-| style="background-color: #FFEECC; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px"|<tex>b</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>0</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>1</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>2</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>2</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>2</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>3</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>3</tex>|-| style="background-color: #FFEECC; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px"|<tex>a</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>0</tex>| style="background-color: #FFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>1</tex>| style="background-color: #FFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>2</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>2</tex>| style="background-color: #FFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>3</tex>| style="background-color: #FFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>3</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>4</tex>|-| style="background-color: #FFEECC; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px"|<tex>b</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>0</tex>| style="background-color: #FFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>1</tex>| style="background-color: #FFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>2</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>3</tex>| style="background-color: #FFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>3</tex>| style="background-color: #FFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>4</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>4</tex>|-| style="background-color: #FFEECC; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px"|<tex>b</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>0</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>1</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>2</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>3</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>3</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>4</tex>| style="background-color: #E0FFFF; width: 40px; height: 40px; border-color: #aaa; border-style: solid; border-width: 1px 1px 1px 1px" |<tex>4 russians lcs table.png]]</tex>|}
== Анализ алгоритма ==
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