## Puzzle Tournament 4

Puzzle Prime’s fourth puzzle tournament was organized on February 26, 2022. Congrats to **REDCROUTONS** who solved all the puzzles (even found a small mistake in one of them)!

You have **60 minutes** to solve **6 puzzles**, each worth **1 point**. Upload your solutions as a pdf, document, or image, using the form below. Good luck!

**Time for work: 1 hour**

Each problem is worth 1 point. Use the form at the bottom of the post to send your solutions.

## 1. The Grid

by **Puzzle Prime**

Figure out how the last portion (7×5 in yellow) of the grid should be colored in black and white.

## 2. Hexado

by **Dr. DJ Upton**

Place arrows along hexagon edges so that the number of arrows pointing to each hexagon equals the number of dots inside, adhering to the following rules:

- Arrows cannot be touching.
- Arrows cannot be placed on dashed edges.

**SHOW EXAMPLE**

## 3. Segments

by **Puzzle Prime**

Use **at most** 27 segments to create the largest number with distinct digits.

*Notes: For example, the number 273914 would use 5+3+5+6+2+4=25 segments.*

## 4. Constellations

by **Raindrinker**

Connect the stars with lines, so that the number inside each star corresponds to the number of lines connected to it, and the number outside each star corresponds to the total number of stars in its group.

*Note: No line connecting two stars can pass through a third star.*

**SHOW EXAMPLE**

## 5. Chess Connect

by **Puzzle Prime**

The starting and ending positions of 6 chess pieces are shown on the board. Find the trajectories of the pieces, if you know that they do not overlap and completely cover the board.

*Notes: The pieces can not backtrack. Two trajectories can intersect diagonally but can not pass through the same square. Only the Knight has a discontinuous trajectory.*

**SHOW EXAMPLE**

## 6. Broken Square

by **Puzzle Prime**

Use exactly 5 out of these 16 pieces to build a 7×7 grid, without overlapping.

*Note: You can rotate the pieces, but you cannot mirror them.*