Dead Herring

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This puzzle presents you with six Nikoli puzzles. However, if you attempt to solve them as given, you will quickly discover that they are all completely unsolvable. Instead, the given titles are a red herring—each puzzle can be solved when interpreted as one of the other given puzzle types. Each puzzle, once solved, reveals a number. Indexing that number into the given puzzle titles spells out ROGERS, the answer.

The solutions and real puzzle types of all six puzzles are given below.

Kuromasu (given title: Nurikabe)

2 3
4
7 2
4
3 4
13

Bag (given title: Fillomino)

5 5
3
4
3
3
3
4 4

Hitori (given title: Bag)

7 6 7 5 4 1
6 1 3 3 2 5
2 8 5 5 3 6
5 2 3 6 7 1
4 3 1 2 6 4
4 5 2 7 4 3
1 6 6 3 5 2
3 8 6 2 7 2

Nurikabe (given title: Slitherlink)

3
2

Fillomino (given title: Hitori)

4 19 19 19 19 19
4 19 3 3 4 4
4 19 3 4 4 2
4 19 19 19 19 2
2 2 3 3 19 19
4 4 4 3 19 19
4 19 19 19 19 1

Slitherlink (given title: Kuromasu)

3 2 2
1 3
2 2
2
1 2 2
0 2
3 1 0