Puzzle 222: Bite the Threes

This puzzle was introduced by Nikoli with a three-word japanese title.It is a region division puzzle similar to Shikaku.
Rules: Divide the grid into some regions,each region containing a given number that equals the size of the region. Every region whose size is a multiple of 3,should be rectangular,but with one of its corners cut off(L-shaped).All other regions should be strictly rectangular.

Puzzle 221: Islands and Battleships

This is a new hybrid.

Rules: Shade some squares such that all shaded squares are reachable moving horizontally or vertically through other shaded squares.All unshaded squares should be divided into islands,such that each given number indicates the size of the island that it is contained in.Every island must have a number.No 2x2 square can be completely shaded. Then place all the ships from the given fleet, in the shaded squares.Ships cannot touch each other,even diagonally.Clues outside indicate the number of squares occupied by ships.

Puzzle 220: Fillomino

Rules:Divide the grid into polyominos ,and write a number in every cell,such that every number in the grid is contained in a polyomino of that area.Polyominos of the same size cannot touch through edges.A polyomino can contain one,more than one,or none of the given numbers.

Puzzle 219: Fillomino: No rectangles

Rules: Follow regular fillomino rules.Rectangular polyominos are not allowed.

Edit: Fixed (added clue in R5C1) for uniqueness.

Puzzle 218: Tapa (Heart-broken)

Puzzle 217: Tapa packing (double back)

This is a tapa packing puzzle.

puzzle fixed in top row

Puzzle 216: Alternating Double back

Rules: Draw a single closed loop that passes through all cells exactly once.Every outlined region must be visited either once or twice,the number of visits alternating between consecutively visited regions.If for example,the loop enters region B immediately after leaving region A,it should visit A once(or twice)and B twice(or once).

Puzzle 215: Operator Magic

This is an Operator Magic puzzle.