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Monday Mutant 71: Adam's Grapple

Draw a single loop that connects the grid cells. The loop may only travel horizontally or vertically, and never diagonally (so all turns are of 90 degrees). The loop may only turn at the centers of grid cells, and may not cross itself or branch off. The loop must pass through and turn in every numbered cell, and each number represents the length of each of the two line segments which meet at that cell.
With apologies to Adam Wood.

Monday Mutant 70: The Inner Limits / Quad-Wrangle (cipher)

In the The Inner Limits puzzle on the left and in the Quad-Wrangle puzzle on the right, the given numbers have been replaced by letters; all instances of a particular letter represent the same number, but two different letters must represent different numbers. (This applies whether the letters are in the same grid or not.) The rules are otherwise unchanged.

Monday Mutant 69: Battleships

Ten ships (as indicated below the grid: one four-cell ship, two three-cell ships, three two-cell ships, and four one-cell ships) are hidden in the grid. The ships may be rotated from the orientations shown, but may not overlap or occupy cells which share a corner or an edge. A number to the right of a row or below a column indicates how many cells in that row or column are occupied by ships. Cells with wavy lines are "water" cells which cannot contain ships. Find the ships.

Monday Mutant 68: Pearls of Wisdom (total / minesweeper)

In this Pearls of Wisdom puzzle, there are no clues inside the grid. Instead, you are to both draw a loop and place black pearls and white pearls in every cell that could legally contain one. A number represents how many pearls are in cells which share a corner or an edge with the cell containing the number; the loop may not pass through a cell containing a number.
My most sincere apologies for this week's Monday Mutant being late; I already have at least one other Monday Mutant prepared, though, so this lateness won't be repeated next week. :)

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