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Liar masyu (763)
Instruction:
Draw a single loop that travels horizontally and vertically between centers of some cells such that the loop does not visit any cell more than once. At every cell containing a white circle the loop must pass straight through that circle and make a 90 degree turn in at least one of the cells adjacent to the circle. At every cell containing a black circle the loop must make a 90 degree turn and travel straight through both cells adjacent to the circle.
The circles are not in their correct positions however. To be able to solve the puzzle you have to move every circle to a horizontally or vertically adjacent cell first. The circles may not overlap after they are all shifted. But the circle can move to a position previously occupied by another circle.