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Kc6 and will either queen or win the a-pawn.
1c7 wins
Simple. The obvious 1. c7 wins in the spot. If 1. … Kc8, the pawns marches on, Black queens and White mates : 2. Kc6 a4 3. b4 a3 4. b5 a2 5. b6 a1=Q 6. b7#.
1. c7 Kc8
2. Kc6 a4
3. b4 a3
4. b5 a2
5. b6 a1=Q
6. b7#
Black queens and White mates.
c7+ Kc8
Kc6 a4
b4 a3
b5 a2
b6 a1 (Q)
b7#
Looks easy.
1. Kc5 Kc7 (Kc8 Kb6)
2. Kb5 zugzwang Kd6 (Kc8 Kxa5)
3. Kb6 white wins.
old tactics.
C7+ and finally mate at b7++
Mustafiz
This is quite an easy win, one possible way is the one presented by pht, although probably the most elegant way is:
1. c7 Kc8
2.Kc6 a4
3. b4 a3
4. b5 a2
5. b6 a1Q
6. b7#
One solution is
1. c7+ Kc8 2. Kc6 a4 3. b4 a3 4. b5 a2 5. b6 a1(Q) 6. b7#
No need to calculate all of that, just take the easy way out. c7+ Kc8 Kc6! a4 b4 a3 b5 a2 b6 a1(Q) b7 mate.
1.Kc5 Kc7
2.Kb5 Kd6
3.Kb6 Kd5
4.c7 Kd6
5.c8=Q
1. c7+ Kc8
2. Kc6 a4 (Black’s only legal move)
3. b4 a3
4. b5 a2
5. b6 a1=Q
6. b7 mate
1.c7 Kc8 2.Kc6 a4 3.b4 etc 6.b7#
1. c7 Kc8
2. Kc6 a4
3. b4 a3
4. b5 a2
5. b6 a1=Q
6. b7 mate
C7+wins