Read manga: Isshuukan Friends

manga
Summary:

Kaori Fujimiya is always alone because all of her happy memories, including time spent with her friends, disappear every Monday. Deciding that he wants to be friends with her anyway, Yuuki Hase tries to get close to Kaori each week, wishing that she would one day call him “a friend”.

Chapters (41)
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Chapter 0 : Beginning Of Friendship
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Chapter 1 : Please Become My Friend
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Chapter 2 : A Day Off With A Friend
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Chapter 3 : Friend's Friends
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Chapter 4 : Quarrel With A Friend
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Chapter 5 : A Certain Friend
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Chapter 6 : At A Friend's House
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Chapter 7 : A Friend's Mom
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Chapter 8 : A New Friend
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Chapter 9 : The Friend I Remember
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Chapter 10 : The Friend I Like
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Chapter 11 : The Friend I Can't Meet
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Chapter 12 : A Friend And The Sea
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Chapter 13 : The Last Day With A Friend
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Chapter 14 : Insufficient Friends
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Chapter 15 : Eighteen
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Chapter 16 : Nostalgia And Apprehension
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Chapter 17 : That Time, Refrain
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Chapter 18 : A Burden's Rhapsody
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Chapter 19 : The Chemical Formula To Like Something.
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Chapter 20 : Because... It Was Fun
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Chapter 21 : Annulation: The Rolling Stones
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Chapter 22 : If He Were A Bad Guy
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Chapter 23 : Complex Tune
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Chapter 24 : Fushimi Inari's Mosaic
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Chapter 25 : What Will We Become In The End
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Chapter 26 : A Never-Ending Journey To 000
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Chapter 27 : Thank You
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Chapter 28 : I Hope For Your Happiness
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Chapter 29 : Rainbow Fragments
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Chapter 30 : Rush Controller
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Chapter 31 : Kanade (Concert)
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Chapter 32 : Your Good Points
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Chapter 33 : Take Off From The Escape Route
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Chapter 34 : Surprisingly Alright
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Chapter 35 : Coffee And Milk
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Chapter 36
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Chapter 37
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Chapter 38
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Chapter 38 V2
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Chapter 39