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Mendis is among the tournament's top scorers with 198 runs in two games and his first match as captain will be Monday's clash with Australia who are also without a win in the group stage.
The 28-year-old slammed six sixes and 14 boundaries during his 77-ball knock, which was the fastest hundred by a Sri Lankan in World Cup history.
Yasir's ball pitched well outside the leg stump, turned big to bamboozle a well-set Kusal Mendis and hit the top of off stump.
Mendis appeared to be in discomfort and laid down on the field during the last over before lunch on the opeing day of the second Test.
The vehicle Mendis was driving hit and killed a 64-year-old cyclist.
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