The only successful fourth innings Test run chase of more than 300 at Adelaide came in 1902, when the hosts made 315 to beat England.
With five wickets in the shed, India will feel hugely confident of setting Australia an unreachable target.
New Zealand beat Pakistan by 123 runs in Abu Dhabi on Friday to clinch a 2-1 series victory, their first away to Pakistan since 1969.
Cricket Australia had originally pencilled in the ongoing opening Test of the current series as a pink-ball match, but India baulked at the idea.
Shimron Hetmyer top-scored with 39 as the West Indies were bowled out in less than an hour's play after beginning the third day at 75-5.
Paine has also pledged to shake opponents' hands before each match as a mark of respect in a bid to change the culture within the side.
The big total from the home batsmen was a reality check for India's bowlers, who failed to impress.
England only managed to add 24 runs with Moeen Ali falling for 33, Stuart Broad for a duck and Jack Leach 2.
West Indies stuttered to 187-6 by tea on the second day after Hetmyer hit 63 off 47 balls in a quickfire counter-attack at the Zahur Ahmed Chowdhury Stadium.
New Zealand pulled off an extraordinary four-run win in Abu Dhabi on Monday as they defended a modest target of 176.
New Zealand bowlers led by Patel (5-59), fast bowler Neil Wagner (2-27) and Ish Sodhi (2-37) bowled out Pakistan for 171 on a drama-packed fourth day at Sheikh Zayed Stadium.
Pakistan, set 176 to win the match, were 130 for four at the break with Azhar Ali unbeaten on 40 after an innings-reviving stand of 82 with Shafiq in the first session.
Medium pacer Hasan Ali registered his first five-wicket haul with 5-45 while leg-spinner Yasir Shah finished with 5-110.
Hasan has figures of 3-21.
Increasing numbers of people are using individual DNA test kits to uncover the identities of their donors.
Kim's first observation of a weapons test this year could complicate already stalled nuclear talks with the United States.
Shastri has instructed his team to play hard but fair.
It was England's first series win in Sri Lanka since 2001.
Foakes, who followed up his debut ton in Galle with another gritty knock, added 14 to his overnight 51 and shared 41 runs for the last wicket with Anderson.
All eyes were on Ben Stokes, elevated to number three, in an unchanged team from the first Test thrashing of the hosts in Galle last week.
It is the second time Arvind Kathpalia, who is also on the loss-making airline's board, has been in trouble over alcohol tests. He was suspended for three months in 2017 for allegedly refusing to take breathalyzer tests.
Sri Lanka captain Dinesh Chandimal has been ruled out of the second Test against England and will be replaced by Charith Asalanka.
Foakes, who started day two on 87, quickly made a ton and was out for 107 as England's first innings folded early in the opening session at Galle.
Taijul Islam's six wickets restricted Zimbabwe to 282 runs.