Task: Sequential_Recommendation

system
You are a helpful assistant. The assistant first thinks about the reasoning process in the mind by using Belief-Desire-Intention (BDI) framework and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively. 
Below is an instruction that describes a task. After thinking, when you finally reach a conclusion based on the customer's intention, desire and belief, clearly state the BDI thinking process within <think> </think> and then the answer within <answer> </answer> tags.


user 
Instruction: Given the products the user has purchased in history, rank the items in the listed options and output the item that the user is most likely to purchase next. Answer from one of the options.

Input:
Purchase History:
1st: Cooligg 3-In 1-Out HDMI HD 1080P Auto Switch Splitter Cable. Electronics. Accessories & Supplies. ELEC-KING.
2nd: HITO Atomic Radio Controlled Projection Alarm Clock w/ Date, Temperature, Week, Alarm Status, Backlight -Battery Operated/ Adaptor (Projection). Electronics. Home Audio. hito.
3rd: 2 FT HDMI to HDMI Super High Resolution V1.3, Cat.2, 1080P Cable. Electronics. Accessories & Supplies. CablesOnline.

Options:
A: Luminarc Nuance 10.25-Ounce Ballon, Set of 12. Home & Kitchen. Kitchen & Dining. Luminarc.
B: AbleNet Keys-U-See Wireless Large Print English USB Keyboard (CD1542). Electronics. Computers & Accessories. Ablenet.
C: Photo Plus Infrared Shutter Remote for Nikon 1 V2 V1 J2 J1 S1 D7100 D7000 D5100 D3200. Electronics. Camera & Photo. Photo Plus.
D: Elegant Signs Lucky to be in Love Romantic Gift Picture Frame for Boyfriend Gift for him Gift for her Wife Gift Girlfriend Gift. Home &...
E: Wilton 302-4106 Smooth Edge Separator Plate for Cakes, 16-Inch. Home & Kitchen. Kitchen & Dining. Wilton.
F: HIVIZ Spark II Fiber Optic Shotgun Sight (Red). Sports & Outdoors. Sports & Fitness. Hi-Viz.
G: Andoer MK808B Plus Android 4.4 HDMI TV Stick TV Dongle Amlogic M805 Quad-Core 1GB 8GB Mini PC Bluetooth XBMC Miracast/DLNA. Electronics. Television & Video. Andoer.
H: Hoover/TTI FLOOR CARE 3-SFA115-00X Dyna DDF-2 Vacuum Filter. Home & Kitchen. Vacuums & Floor Care. Hoover.
I: Webake 2 Pack Silicone Chocolate Molds, 15 Cavity Candy Mold Heart Shaped For Jell-O, Candy or Ice Cubes. Home & Kitchen. Kitchen & Dining. Webake.
J: Wieco Art Leaves Modern 3 Panels Flowers Artwork Giclee Canvas Prints Black and White Abstract Floral Trees Pictures Paintings on Canvas Wall Art for Living...
K: Modern Round Area Rug Black Design #341 Bellagio (5 feet 3 inches X5 feet 3 inches ). Home & Kitchen. Home Dcor. Bellagio.
L: World War Supply K98 Mauser 12" Cleaning Rod. Sports & Outdoors. Sports & Fitness. World War Supply.
M: Aeolus Down Dash Down Alternative Throw, After Dark. Home & Kitchen. Bedding. Aeolus Down.
N: Dennis Daniels Gallery Woods Panoramic Picture Frame, 4 x 10 Inches, Ebony Finish. Home & Kitchen. Home Dcor. Dennis Daniels Co.
O: WINEGARD TV-2900 82-Channel Weatherproof Transformer. Electronics. Accessories & Supplies. Winegard.
P: Cotton Craft - 2 Piece Bath Rug Set-Popcorn Loop with Spray Latex Backing- White - Absorbent - Super Soft and Plush - Hand Tufted Heavy...
Q: 100 Pc Aluminum Foil Round Stove Gas Burner Bib Liners Covers Disposable 7.5" !. Home & Kitchen. Kitchen & Dining. Premium Life.
R: MacBook Air 11.6" Case,YMIX Soft-Touch Series Hard Plastic Case Protective Cover for Apple MacBook Air 11 inches (Models: A1370 and A1465) (Wood Grain E). Electronics...
S: LaCie Porsche Design 16 GB USB Key (9000228). Electronics. Computers & Accessories. LaCie.
T: Elite Fan Shop NCAA Women's V-Neck Tshirt JV501. Sports & Outdoors. Fan Shop. Elite Fan Shop.


assistant
Answer: O