Puzzle 1: Red to move and win
Solution

Red is only one pawn up. It might seem that this pawn runs great risk to be captured by the black cannon after A4+5 or A6+5. But with his first move Red makes A6+5 impossible and after A4+5 the pawn turns out to be poisoned.
1. C5.7 A4+5      
  1. ... A6+5
2. C7+9 mate
2. K6.5 C7+4
1 point each for the key moves C5.7 and K6.5
  2. ... C7.4
3. C7.3 K5.4
4. C3+9 mate
2 points for this sideline (answer 3)

2. ... C7+8
3. C7+7 C7-7
Otherwise Red can play C7.3 at once.
4. C7.4 C7-2
5. C4.3 ...
2 points for this sideline (answer 2) yielding positions of the main line even earlier.
3. C7.3
But not 3.C7+7 or any other forward move of the red cannon since Black has the reply 3. ... C7.5.
After 3.C7.3 Black can’t hinder the Red cannon to reach Blacks baseline. If Black’s cannon moves backwards the red cannon will always follow. If Black’s cannon moves sidewards the red cannon will immediately checkmate on Black’s baseline.
3. ... C7+3
4. K5-1 C7-1
5. C3+1 C7-1
6. C3+1 C7-1
7. C3+1 C7-1
8. C3+1 C7-1
9. C3+1 C7-1
10. C3+1 C7-1
11. C3+1 C7-1
12. C3+1 C7.8
13. C3+1 mate
2 points for the main line (answer1)
Puzzle 2: Red to move and checkmate
Solution

Black has clear material advantage and two black rooks should allow strong attacks. However, Black’s king is in an exposed position and Red can hold the king in custody.
1. H2+4      
2 points
1. ... A4+5
If Black tries to treat the position without this move Red can win in the same way as in the main line.
2. H7-5
2 points
2. ... A5-6
It makes no difference, whether Black takes the horse or not (see one example for renunciation in Answer2). In all cases the Black king is immobilised and Black’s rooks have to defend against the possible mates P7.6 and P7+1.
3. H5+4
Black’s material advantage seems overwhelming but he is in fact absolutely helpless. Red’s pawn on the first raw will slowly approach the battle zone around Black’s king and will finally force the checkmate. Black’s only chance is a combined mate attack of his rooks but Red can easily avoid this. If possible Red will keep his advisors at the current positions and hide the king behind the advisors.
3. ... P4+1
After 3. ... P4.5 4.A4-5 Black runs short of any threats.
4. K5.4
1 point Not 4.A5-6 R4+3 5.K5+1 R2+6 mate!
4. ... R4+2
5. P1+1
Red can as well save the elephant with E7+9 but this is not necessary.
5. ... P4.3
6. P1+1 P3.4
7. P1+1 P4.5
8. K4+1
1 point Red had to avoid 8.K4.5 R2+7 9.A5-6 R2.4 mate. After 8. K4+1 Red’s king found a safe hide and cannot be molested by Black’s rooks any more.
8. ... P5.6
9. P1.2 P6.7
10. P2.3 R2.1
11. P3.4 R1.2
12. P4.5 R4.5
13. A4-5 P7.6
14. P5+1
1 point for a correct example with a checkmate from Red’s pawn (e.g. Answer1)
Puzzle 3: Red to move and checkmate)
Solution

Red has no running mate at hand. To strengthen his attack he wants to bring his horse into play. However, Black’s material advantage would allow him to return a rook against a cannon, if this could weaken Red’s attack. Therefore, Red’s first goal is to prevent that Black can simplify the position with R-+8 K4+1 R--1. As mentioned before, problem 3 is unsoluble. You will find here the intended solution. However, in the main line after 1.P4+1 K6.5 2.P4+1 K5.4 3.R6.2 A4-5 4.H8+7 Black can defend the position by playing 4. ... H7+6 5.H7+6 H6+4.


1. P4+1 K6.5
2. P4+1 K5.4 		     
  2. ... K5-1
3. R6.5 A4-5
    3. ... A6+5
4. P4+1 mate
  4. P4+1 K5.4
5. R5+6 A5+4
6. R6+3 mate
1 point for this side line (Answer 5)
3. R6.2
1 point for the key move R6.2
3. ... A4-5
4. H8+7 R+-1
  4. ... R-+5 (Or 4.... R+-4)
5. H7+6 A5+4
6. H6+7 mate
1 point

4. ... R-+2
5. H7+6 R-.4
    5. ... A5+4
6. H6+7 mate
  6. H6+5 R4.5
7. R2.6 A5+4
8. R6+3 K4+1
9. H5-6 mate
1 point (Answer4)
5. K4-1
1 point. Red must not play 5.R2-3 (the rook will be essential later on) or 5.K4+1 P7.6.
5. ... K4-1 (5. ... R-+5, 5. ... R+-3 and 5. ... R-+2 can be treated as in move 4.)
6. R2.6 K4.5
  6. ... A5+4
7. R6+3 K4.5
8. R6.5 A6+5
9. R5+1 K5.4
10. H7+6 mate
1 point
7. C6.5 A5+6
  7. ... A5+4
8. R6.5 A4-5
    8. ... K5.4
9. C5.6 A4-5
10. H7+6 A5+4
11. H6+7 A4-5
12. H7+8 K4+1
      12. ... K4.5
13. P4+1 mate
    13. R5.6 A5+4
14. R6+3 mate
1 point (Answer3)
  9. R5.8 K5.4
    9. ... A5-4
10. H7+5 A4+5
      10. ... A6+5
11. P4+1 mate
    11. R8+5 E1-3
12.R8.7 mate
1 point
  10. R8.6 A5+4
11. R6+3 K4.5
12. H7+5 A6+5
13. P4+1 mate
1 point for this sideline (Answer 2)
8. H7+5 A6+5
  8. ... A6-5
9. P4+1 mate
9. H5+4 A5+4
  9. ... A5-4
10. R6.5 A4+5 (Or A6-5)
11. R5+4 mate

9. ... A5-6
10. H4+5 A6+5
    10. ... A6-5
11.P4+1 mate
  11.H5+7 mate
10.H4+5 A6-5
  10. ... A4-5
11. H5+7 mate
11. P4+1 K5.4
12. R6+3 mate
1 point for the main line (Answer1).