The US Open is the richest tournament in the sport with a prize fund of £9.1m ($12m) and a winner's purse of £1.64m ($2.16m), a prize Brooks Koepka has won in each of the last two years.
"To play a major championship without a bogey, that does not happen very often and especially at this golf course".
"So, for them to understand what I was doing early in my career, the only thing they've seen is my struggles and the pain I was going through".
"I don't really feel like it's a defeat", said McIlroy.
Tiger Woods Will the golf star lift another major in his career
While Molinari was making his bleary way to London on three hours' sleep on Monday and finding it hard to let the jug out of his sight, Rocca was to be found 25 miles from Carnoustie on the Old Course, preparing for the Senior Open this week.
"I'm looking forward to Paris; it will do his confidence a lot of good, he will come into the team as one of those guys that everyone is looking to".
After taking 10 years to win four times on the European Tour, Molinari has now claimed three victories and two second places in his last six events, securing a third Ryder Cup appearance in September and climbing to a career-high of sixth in the world. "Hopefully, they will get as inspired as I was at the time, watching him vie for the Claret Jug". Molinari's bogey-free final round was particularly impressive. Woods hit a tee shot out-of-bounds on the 16th hole and tied for fifth.
The 24-year-old from California kept playing with a smile on his face despite finding himself, as he described it, "in the strangest spots possible on the golf course" with playing partner Spieth.
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"If I can put the ball on the fairway and hit my irons as well as I have done the first couple of days I'll give myself a lot of chances for birdies and it's just about converting them and taking your opportunities".
McIlroy is back in the mix and among the crowded leaders.
Molinari went into the week sitting in fourth place in the Ryder Cup rankings.
"You know, it just wasn't to be - I just ran out of holes".
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The subject was a large, yellow leaderboard at the front of the room that showed Tiger Woods alone at the top in the final round.
Tiger Woods made a whole lot of golf fans happy this weekend, as the 42-year-old duffer's Lazarus act during the final round of the British Open helped NBC deliver the biggest audience for golf's longest-running showcase in almost two decades. "I want to know where it is so I try to hold on to it as long as possible".
I can not believe there are actually people who think Tiger Woods should not be picked for the Ryder Cup.
"I couldn't watch Xander play the last two holes, to be honest", said Molinari, who became the first Italian to win a major.
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