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The tourists were bowled out for 180, adding just 87 to their Day Four score of 93 for the loss of four wickets.
England resumed play on the fifth and final day with Captain Joe Root batting on 42 and wicketkeeper-batsman Jonny Bairstow on 17. Root, suffering from gastroenteritis, had to spend most of the morning in hospital, and when he resumed his innings, could not stay at the crease for long, and retired on 58.
Tom Curran remained not out on 23.
Fast bowler Pat Cummins had match figures of 8-119.