Vladimir Joanna Joel Eric Yoel Adriana Lance Aaron Divide into two problems.

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Presentation transcript:

Vladimir Joanna Joel Eric Yoel Adriana Lance Aaron Divide into two problems

Vladimir Joanna Joel Eric YoelAdrianaLanceAaron Sort each list recursively

VladimirJoannaJoelEricYoelAdrianaLanceAaron Sort each list recursively

VladimirJoannaJoelEricYoelAdrianaLanceAaron Merge the two lists

VladimirJoannaJoelEricYoelAdrianaLanceAaron Merge the two lists

VladimirJoannaJoelEricYoelLance Merge the two lists AaronAdriana

VladimirJoannaJoelYoelLance Merge the two lists AaronAdrianaEric

Counting Inversions Divide into front and back halves Count inversions within each half, and sort each half Then, count inversions between front and back half

Counting Inversions between front and back front: back: Merge. Whenever a back item is pushed up, count how many it goes past

Counting Inversions between front and back front: back: Merge. Whenever a back item is pushed up, count how many it goes past skips over 2, 4, 6 and 7 Inversions: 4

Counting Inversions between front and back front: back: Merge. Whenever a back item is pushed up, count how many it goes past from front, nothing to count 1 Inversions: 4

Counting Inversions between front and back front: back: Merge. Whenever a back item is pushed up, count how many it goes past from front, nothing to count 1 2 Inversions: 4

Counting Inversions between front and back front: back: Merge. Whenever a back item is pushed up, count how many it goes past 3 skips over 4, 6, and Inversions:

Inversions: 4 Counting Inversions between front and back front: back: Merge. Whenever a back item is pushed up, count how many it goes past 3 skips over 4, 6, and Inversions:

Inversions: 4 Counting Inversions between front and back front: back: Merge. Whenever a back item is pushed up, count how many it goes past 4 is in front: no change 1 2 Inversions:

Inversions: 4 Counting Inversions between front and back front: back: Merge. Whenever a back item is pushed up, count how many it goes past 5 moves past 6 and Inversions:

Inversions: 4 Counting Inversions between front and back front: back: Merge. Whenever a back item is pushed up, count how many it goes past 5 moves past 6 and Inversions: