Puzzle 1: Red to move and mate
Solution

Two high pawns and one low pawn cannot always win against cannon and two advisors. Therefore, Red shouldn’t lose too much time. If Black can improve the position of his cannon he will achieve a draw. E.g. the seemingly natural move 1.P7+1? is not sufficient for Red. After 1. ... C1+5 2.P6+1 K4-1 3.P6+1 K4.5 4.K4.5 C1.5 Red can’t make any progress.
1. P6+1      
2 points for the key move
1. ... K4-1
  1. ... A5+4
2. P7+1 A6+5
    2. ... K4-1
3. P7.6 K4.5
      3.... C1+4 4.P6+1 or
3.... A6+5 4.P6+1
yield positions of answer 5
    4. P6+1 C1+4
      4. ... A6+5
5. P6.5 mate
    5. P6+1 mate
1 point (answer 5)

2. ... C1+1
3. P7.6 K4-1
4. P6+1 K4.5
5. P6+1 mate
1 point (answer 6)

2. ... C1.4
3. P7+1 mate
Answer 7
  3. P7+1 K4-1
4. P4.5 C1+1
5. P7.6 mate
1 point for this line (answer 4)
2. P6+1 K4.5
3. K6.5 C1+4
Any other cannon move will yield similar positions.
4. P4.5 A6+5
5. P6.5 K5.6
  5. ... K5.4
6. P7.6 C1.9
7. P6+1 C9-3
8. P5+1 mate
1 point for this line (answer 3)
6. P7.6 C1.5
7. P6+1 C5+1
Black is without any defence!
8. P6.5 C5.1
  8. ... C5-4
9. P5+1 stalemate (answer 2)
9. P-.4 C1-4
  9. ... C1.5
10. P4+1 mate
10.P5+1 checkmate Or 10.P5.4 checkmate
1 point for the last moves of the main line (answer1)
Puzzle 2: Red to move and checkmate
Solution

Black’s pieces are on aggressive positions but they can’t help the king against the combined attack of Red’s rook, cannon and horse.

1. C2+7
1 point
1. ... A5-6 		     
  1. ... E7+9
2. H3+4 E9-7
3. R8+3 E5-3
4. R8.7 mate
2 points (answer 4)

1. ... K4+1 2. R8+2 mate
2. R8+3 E5-3
  2. ... K4+1
3. H3+4 K4.5
4. H4-3 K5.4
5. R8.6 mate
2 points (answer 3)
3. R8.7 K4+1
4. H3+4
1 point
4. ... C5-5
  4. ... K4.5
5. R7-1 K5-1
6. H4-3 E7+9
Or 6.... E7+5
7. R7+1 mate
1 point
5. R7-1 K4-1
6. H4-5 A4-5
7. R7+1 K4+1
8. H5-7
1 point
8. ... K4+1
9. R7-2 K4-1
10. R7+1 K4+1
  10.... K4-1
11.R7+1 mate
Answer 2
11.R7.6 mate
1 point for end of the main line (answer1)
Puzzle 3: Red to move and checkmate
Solution

With his swinging cannons Red can first take both of Black’s pawns on the fifth row opening the first file for the red rook and afterwards bring the cannons back to his left side to prepare a checkmate. Red can only wait in amazement.
1. R2.4 R7.6
2. C8.4 R6.7
3. C4.3 1 point
3. ... R7.6
4. C9.4 R6.7
5. C4.2 1 point
5. ... R7.6
6. C3.4 R6.7
7. C4.1 1 point
7. ... R7.6
8. C2.4 R6.7
9. C4.8 1 point
9. ... R7.6
10. C1.4 R6.7
11. C4.7 1 point
11. ... R7.6
12. R4+7 1 point
12. ... C2.6
13. C8+5 1 point
13. ... A4+5
14. C7+5 1 point
14. ... K6+1
15. R1+8 mate 1 point