The New York Times crossword puzzle

Across 1 Spelling aid? 5 Band of warriors 10 Cavil

14 One of the Twelve Olympians 15 Undercover lover 16 Grandmother of 14-Across 17 Automaker with the slogan “Wir leben Autos” 18 Goes on … and goes off 19 They may respond for the unresponsive, for short 20 Over time 23 Big tower letters 24 Actress Negri of the silents 25 Tribal V.I.P. 26 Split down the middle 28 Rebate requirement, at times: Abbr. 31 Fraternity letter 32 Island on which Mount Obama is the highest point 35 Strong sprays 36 Garden fruit that tastes pumpkin-y 40 Working without ___ 41 Just manages 42 RR stop 43 Annual music and film festival founded in 1987, briefly 44 “___ is about finding your own space”: Kareem AbdulJabbar

48 One who can’t keep a secret 50 Setting for many shipwreck movies 53 Co-director and co-star of the 2011 film “Bed Peace” 54 Exaggerate … or a hint to five nonconsecutive letters in 20-Across, 36-Across and 7-Down 58 Engineering college in Needham, Mass.

59 Was amazed by, with “at” 60 Home to the Ronald Reagan Med. Ctr.

61 It’s just not right

62 Bad state to be in 63 “That wasn’t easy at all!” 64 Dryden’s “Alexander’s Feast” and others

65 Like renewable energy 66 Brighten (up)

Down 1 Strong Chinese liquor

2 Tom Sawyer or Oliver Twist 3 Mock 4 Capital situated on the same latitude as St. Petersburg, Russia 5 Hold things 6 Menotti’s “___ and the Night Visitors” 7 “Because I said so!” 8 Compassion for the misery of others 9 Scot’s tongue

10 Bit of fishing gear 11 Alternative to Twinings 12 Camp David and others 13 Defensive football tactic 21 Winning, but barely

22 So far

27 One joule per second 29 Salon jobs 30 ___ Robles, Calif. 33 Museum of natural history attraction, in brief 34 Signs 35 What a cape does 36 Certain rock concert improvisation 37 No-name? 38 Largest of the Canaries 39 Need to sleep, maybe

43 Fix 45 Disreputable 46 Improvised place to hang a hat, say 47 Hiawatha, for one 49 Doesn’t keep one’s emotions pent up 51 Biblical land on the Arabian Peninsula 52 Deceived, in a way 55 Advanced H.S. class 56 Greet rapturously 57 Kentucky’s ___ Arena