They fell behind in the 22nd minute with some awful marking by the Eagles defence as they allowed Kenedy's corner to bounce through a crowd of players and an unmarked Mohamed Diame converted at the far post.
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Towards the end of the first half Palace again worked their way into the visitors' area, from where Yohan Cabaye backheeled to Zaha, the forward's shot was brilliantly saved by Darlow, and Christian Benteke then failed to control when the rebound fell to him in front of an open goal.
Wilfred Zaha squandered a flawless opportunity to give Palace the early advantage in the opening two minutes after being played through by Luka Milivojevic.
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The south Londoners nearly hit back just before half-time as Yohan Cabaye carried the ball into the box on the left and flicked it back to Zaha, whose shot was parried into the path of Benteke by Darlow, but the striker couldn't react quickly enough to turn home from a couple of yards out. Andros Townsend could have perhaps done better with a header from 12 yards out but the Eagles were soon back on level terms.
Milivojevic converted in spite of goalkeeper Karl Darlow getting a hand to the ball.
The Toon were indebted to Clark for coming away with a point as the defender made two last-ditch blocks in quick succession to deny Benteke and Cabaye from point-blank range in the 88th minute.
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