Sunday, October 22, 2017

Puzzle 400: 4x100 4-in-one

This is a loop traversing four quadrants while satisfying the corresponding ruleset within each quadrant. The following four puzzle types are involved, rules described below.

Ripple Loop: Draw a closed loop that connects the centres of all cells horizontally or vertically. Wherever two circles are edge-adjacent, the loop must go straight through one, and make a right angle turn in the other.

Balance Loop:  Draw a closed loop passing through the centres of cells horizontally or vertically. All white circles must have equal segment lengths on both sides of the circle before turning. All black circles must have unequal segment lengths on both sides of the circle before turning. Numbers indicate the sum of the segment lengths on both sides of the circle.

Masyu: Draw a closed loop connecting the centres of some cells horizontally or vertically. All circles must be visited. The loop may not intersect itself. The loop has to go straight through every white circle, and
make a 90 degrees turn in at least one adjacent cell, while it has to make a turn in every black circle
and go straight through both cells adjacent to the circle.

Syuma: Draw a closed loop connecting the centres of some cells horizontally or vertically. All circles must be visited. The loop goes straight through every white circle, and turns in every adacent cell. The loop makes a
90 degrees turn in every black circle, and goes straight through at least one of the adacent cells.

Edit: A circle added in R12C8, and R9C7. White Circle in R19C12 in the first version is now corrected to black.






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