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Devon Conway smashed an unbeaten 92 off 58 balls to power New Zealand to a stiff 200 for three.
The Kiwis then put up a disciplined bowing performance and were outstanding in the field as they bowled out the hosts, who struggled to get a partnership going, for 111 in 17.1 overs.
Tim Southee (3/6) and Mitchell Santner (3/31) picked three wickets each.
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The left-handed opener then shared 69 runs with skipper Kane Williamson (23 off 23). Glenn Phillips (12) and James Neesham (26 not out) also chipped in with useful contributions.
For Australia, Josh Hazlewood (2/41) and Adam Zampa (1/39) were among wickets.
Brief Scores: New Zealand: 200 for 3 in 20 overs (Devon Conway 92 not out; Josh Hazlewood 2/41).
Australia: 111 all out in 17.1 overs (Glenn Maxwell 28; Tim Southee (3/6), Mitchell Santner 3/31)