1.
[
{B:rnbqkbnr/pppppppp/32/PPPPPPPP/RNBQKBNR}
A game ends on move five when one player mates by underpromoting to knight. What is the game? This bears a superficial similarity to the previous puzzle, but it is much simpler.]

2.
[
Hint- There is no reason not to take the extra half-move offered by having Black deliver the mate. All Black's moves are pawn moves but, just as in the preceding puzzle, the important point is that another Black piece has to play a part in the final mate.]

3.
[
It is clearly going to help if Black delivers the mate, because then there is an extra half-move. Just as in the previous puzzle, there is no chain of logic leading to the solution, you simply have to keep trying.]

4.
[
There are some interesting near-misses, for example 1 f3 2 h3 3 Kf2 4 Kg3 and 5 Kh2 fails only because White's queen can take the promoting pawn on f1. The key idea is to get another Black piece to play a part in the mating position. The solution runs...]

5.
[
{S:d2d3}
1 d3]

6.
[
{S:e7e5}
1...e5]

7.
[
{S:b2b3}
2 b3]

8.
[
{S:e5e4}
2...e4]

9.
[
{S:e1d2}
3 Kd2]

10.
[
{S:e4d3}
3...exd3]

11.
[
{S:d2c3}
4 Kc3]

12.
[
{S:d3e2}
4...dxe2
White can vary the order of his first four moves, and it is also possible or White to play d4 instead of d3.]

13.
[
{S:c3b2}
5 Kb2]

14.
[
{S:e2d1}{D:100}{X:d1}{P:BNd1}
5...exd1N mate.]