"It's just little moments like that were someone just has to put their hand up and say "Right, I am going to be the man that's going to get through here and do what my team needs me to do" and it didn't happen", he added ahead of the second ODI in Cardiff on Saturday.
"I had a long discussion with Thorpey [Graham Thorpe] after I got out and just said it was probably my favourite innings as far as how my tempo was throughout the innings", said Roy.
Shaun Marsh scored a fine century to give Australia, the reigning world champions, hope of an improbable win on Saturday until leg-spinner Adil Rashid and fast bowler Liam Plunkett took late wickets to seal 2019 World Cup hosts England's victory.
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With the "Fubo Premier" bundle, you will get access to all four of the World Cup soccer TV channels in most markets. The Russian club is named after the Thracian gladiator who led a slave rebellion against the Romans.
England lost captain Eoin Morgan shortly before the toss in the second one-day global against Australia in Cardiff on Saturday as the Middlesex batsman was ruled out with a back spasm.
Early dismissal is an occupational hazard for all openers, and certainly for someone as attack-minded as Roy.
England, who have won six of the last seven ODIs between the sides, won the first game of the series by three wickets.
Roy's century was slightly more circumspect than his previous efforts, using up 97 deliveries, as opening partner Jonny Bairstow's blistering 42 off 24 balls allowed him to get his eye in.
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"I enjoyed it, a bit more stressful going through lots of decision, the buck stops with you", Buttler said. Roy's latest century came nearly a year after he suffered arguably the biggest disappointment of his England career when left out of the same Sophia Gardens ground for a Champions Trophy semi-final loss to Pakistan, the eventual tournament winners.
It was a mature display from Roy, who said he was particularly happy with the way he had paced his innings and changed through the gears.
The first rain break came when Roy was on 66 not out. "It's nice to get a few runs but, yeah, I was obviously disappointed with the result".
"It's obviously a disappointment for us". "I think our best cricket is good enough to beat these guys, we just haven't put the complete package together".
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"I think it was about the balance today", said Marsh.