United is offering a restricted award between the U.S. and Beijing or Shanghai, China, for only 45,000 miles through March 31 — a savings of 15,000 miles off the regular 60,000-mile award. You must book the discounted award over the phone, but United will waive the $15 telephone booking fee. There are no blackout dates, but awards are capacity controlled and may not be available on all dates. To book an award flight, call 800-UNITED1 (800-864-8331).