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Insertion Sort ֲࢸݢʢKuoE0ʣ [email protected] KuoE0.ch

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Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0) http://creativecommons.org/licenses/by-sa/3.0/ Latest update: Mar 3, 2013

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4 1 2 1 8 9 3 The original sequence.

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4 1 2 1 8 9 3

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4 1 2 1 8 9 3 Set 1st element as sorted part. 4

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4 1 2 1 8 9 3 4

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4 1 2 1 8 9 3 Others are unsorted part. 4 1 2 1 8 9 3

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4 1 2 1 8 9 3 4 1 2 1 8 9 3

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4 1 2 1 8 9 3 Enumerate elements in unsorted part. 4 1 2 1 8 9 3 1

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 Copy the value to temporal variable.

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 4

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4 1 2 1 8 9 3 Find the foremost element great than the current element. 4 temp: 1 2 1 8 9 3 1 1 4

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 4 1

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4 1 2 1 8 9 3 Insert the element. 4 temp: 1 2 1 8 9 3 1 4 1

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4 1 2 1 8 9 3 Insert the element. 4 1 2 1 8 9 3 1 1 4

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4 1 2 1 8 9 3 Insert the element. 4 1 2 1 8 9 3 1 1 1 4

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4

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4 1 2 1 8 9 3 Enumerate next element. 4 1 2 1 8 9 3 1 1 1 4 2

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 2

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 2 Copy the value to temporal variable.

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 2 4

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 2 Find the foremost element great than the current element. 4

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 Insert the element. 2

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 Insert the element. 2

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 Insert the element. 2 2

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 2 2

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 2 2 Enumerate next element. 1

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 1

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 1 Copy the value to temporal variable.

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 1 4 2

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 1 Find the foremost element great than the current element. 4 2

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 1 Find the foremost element great than the current element. 4 2

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 Insert the element. 1

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 Insert the element. 1

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 Insert the element. 1 1

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 Enumerate next element. 8

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 8

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 Copy the value to temporal variable. 8

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 8 4

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 8 No element is greater than the current element in sorted part. 4

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 8

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 Put back. 8

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 Put back. 8

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 Put back. 8 8

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 Enumerate next element. 9

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 9

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 9 Copy the value to temporal variable.

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 9

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 9 No element is greater than the current element in sorted part.

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 9

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 Put back. 9

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 Put back. 9

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 Put back. 9 9

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 9 9

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 9 9 Enumerate next element. 3

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 9 9 3 3

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 9 9 3 Copy the value to temporal variable. 3

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 9 9 3 3 9 8 4

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 9 9 3 3 Find the foremost element great than the current element. 9 8 4

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 9 9 3 3 Find the foremost element great than the current element. 9 8 4

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 9 9 3 3 Find the foremost element great than the current element. 9 8 4

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 9 9 3 9 8 4 3

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4 1 2 1 8 9 3 4 temp: 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 9 9 3 9 8 4 Insert the element. 3

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 9 9 3 9 8 4 Insert the element. 3

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 9 9 3 9 8 4 Insert the element. 3 3

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4 1 2 1 8 9 3 4 1 2 1 8 9 3 1 1 1 4 2 4 2 2 1 4 2 1 1 8 4 9 9 9 3 9 8 4 Sort completely! 3 3

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