Pawn Endgame Training

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The position is from a tournament game...White offered a draw claming that its a draw.Now its Black's move  He thought that after 1...c4 + 2Ka3 Kc5 3.Ka4 Kxd5 white will play Kb4 and he might be in zugzwang 
and will loose the c4 pawn.  Both players were not willing to take risk and  agreed a draw here...Can you assets the position correctly ??

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