Cannon endgames

Cannon (漢包楚)

<

The cannon can only in the best case restrict the opposing king. This endgame is a draw.

Two cannons (漢包包楚)

<

An extra cannon still cannot win as the second cannon lacks a mount. In fact there are no mating positions in this endgame.

Two cannons and a horse (漢包包馬楚)

The idea is executed in steps.

First put one cannon in the centre to avoid bigjang threats.

<

1.35漢馬27
2.37漢包17
3.17漢包47

Secondly drive the opposing general away from the centre file with the other cannon and the horse.

4.6049
5.59漢包09
6.27漢馬06
7.09漢包02
8.06漢馬14
9.14漢馬22
10.4251

Since the general is denied access to the central file the cannon on the centre file can take control of it.

11.47漢包50

Finally the horse can manoever to mate the king.

12.22漢馬34
13.5152
14.34漢馬13
15.13漢馬32

<

Two cannons and an elephant (漢包包象楚)

Mating positions as the key position in the two cannons and horse endgame cannot be created with an elepehant instead of the horse. A general in the centre will stay. If the centre is already in control Han can win as below.

<

1.26漢包29
2.29漢包59
3.27漢象55

Two cannons and a soldier (漢包包兵楚)

Two cannons and a soldier can win against a lone king. Here is an efficient way of mating:

<

1.4938
2.58漢包28
3.28漢包48
4.4253
5.3849
6.48漢包50
7.5342
8.4544
9.4443
10.4232
11.4353
12.39漢包59
13.59漢包51
14.5342

<

Two cannons and an officer (漢包包士楚)

This endgame cannot in general be won. The exceptions are positions where the general and one cannon already are in control of the cetnre file.

<

1.28漢包58
2.58漢包40
3.40漢包37
4.37漢包39
5.39漢包59
6.4948
7.38漢士39
8.59漢包29
9.29漢包49
10.39漢士40
11.50漢包30
12.40漢士50
13.50漢士60
14.30漢包70
15.70漢包50
16.60漢士59
17.49漢包69
18.59漢士58
19.4859
20.69漢包39
21.39漢包59

<

A cannon and a horse (漢包馬楚)

Mate positions exists, but cannot be enforced. For example:

<

1.57漢馬45

The endgame is in general a draw. The addition of officers doesn’t help.

A cannon and two horses (漢包馬馬楚)

The plan is to have one horse and the cannon restrict the opponent into one of the corners of the palace by placing the horse on 21, 61 or 44 and the cannon behind. Then the remaining horse can administer the mate.

<

1.57漢馬65
2.65漢馬44
3.4251
4.27漢馬08
5.08漢馬16
6.16漢馬24
7.24漢馬32

<

Cannon, horse and elephant (漢包馬象楚)

This endgame is very similar to cannon and two horses. Restrict the general with two pieces and mate with the third.

<

1.18漢象46
2.3242
3.74漢馬66
4.66漢馬45
5.46漢象14
6.4243
7.59漢包29
8.4939
9.29漢包49

<

Cannon, horse and soldier (漢包馬兵楚)

A horse and a solder can win against a lone general, but not if the soldier has reached the second or first rank. The addition of a cannon will turn endgames where the soldier is on the second rank into wins.

<

1.15漢馬36
2.36漢馬24
3.2232

If

4.4241
5.24漢馬43

or if

4.4252
5.24漢馬45
6.3242

4.4233
5.47漢包50
6.3242
7.24漢馬12

<

Cannon and elephant (漢包象楚)

No mate exists. The endgame is a draw. The addition of officers does not help.

<

Cannon and two elephants (漢包象象楚)

This endgame is a challenge in maneuvering elephants on an open board.

<

1.76漢象48
2.3342
3.78漢包38
4.38漢包60
5.4251
6.15漢象32
7.5142
8.32漢象55
9.55漢象23
10.4253
11.48漢象25
12.5343
13.23漢象46
14.4959
15.25漢象48
16.4342
17.46漢象14
18.4241
19.48漢象25
20.25漢象8
21.8漢象36
22.36漢象64

<

Cannon, elephant and soldier (漢包象兵楚)

The addition of a cannon to the elphant and soldier endgame will turn positions where the soldier has advanced to the second rank into wins.

<

1.2232
2.4233
3.47漢包50
4.3222
5.15漢象32
6.32漢象64
7.64漢象41
8.41漢象73
9.73漢象56

<

Cannon and soldier (漢包兵楚)

Although there exists theoretical mate positions

<

these can next to never be enforced. Even given an ideal position a general on the side of the palace can not be stopped from going behind the soldier.

<

1.4332
2.3233

and no mate is possible. The addition of officers does not help.

Cannon and two soldiers (漢包兵兵楚)

The two soldiers endgame cannot be won if one soldier has advanced to the second rank or if both soldiers have advanced to the third rank. The addition of a cannon can turn these endgames into wins if one of the soldiers have advanced to the second rank.

<

Here the soldiers cannot help each other enter the palace, but the cannon can help.

1.8漢包48
2.3444
3.4233
4.3849
5.48漢包50
6.3342
7.4443
8.4252
9.2232
10.3242