Current Puzzle

Alter/Nate

Two friends, Alter and Nate, have a conversation:

Alter: Nate, let’s play a game. I’ll pick an integer between 1 and 10 (inclusive), then you’ll pick an integer between 1 and 10 (inclusive), and then I’ll go again, then you’ll go again, and so on and so forth. We’ll keep adding our numbers together to make a running total. And whoever makes the running total be greater than or equal to 100 loses. You go first.

Nate: That’s not fair! Whenever I pick a number X, you’ll just pick 11-X, and then I’ll always get stuck with 99 and I’ll make the total go greater than 100.

Alter: Ok fine. New rule then, no one can pick a number that would make the sum of that number and the previous number equal to 11. You still go first. Now can we play?

Nate: Um… sure.

Who wins, and what is their strategy?

Correct Submissions as of 28/01/20

Glauber Guarinello
Gwendolyn Gilbert-Snyder
Primusa
Sean Egan
Robert Slutsky
Kevin Gu
Noah M
Wula
Michael Ang
Wen Chen
Andrew T
Elliot Bräck
Milos Mitrovic
Sherwin
Geoff West
Kaz Bizzle
airmanfair
Vinny P
Zihao Li
Dewei Chuan
Daniel Sarnecki
Guillermo Wildschut
martinobdl
Hudson Vieira
Roman Lyapin
Stan Tendijck
Rahul Saxena
Jinglei (Jack) Zhang & Helen Yuan
Mike H
Tristan Challener
Nikku
KMac
Tomer Tzadok
Team J
Doug Miller
Michael Tang
Edvin Memet
Dimas Ramos
Scott Okuno
Monotof
Mason Kamb
Jordi G Rodríguez
Zhou Fan
Marcus Wuertenberg
Jefferson Low
Jason Weinstein
Ian Sleightholme
Will Christerson
Gustavo Roque Collado Romero
Gil, Avi, & Josh
d10
Eugene Du
Karl Mahlburg
Eeshan Malhotra
Jason Weisman
Michał Szmidt
George Melkuev
Eric Manalac
John Bamford
Jon Kutasov
Jonathan Huang
Justin C
Michael DeLyser
Ethan Morgan
Travis Dillon
Dimitri Petrakis
Jacoby Jaeger
Anuj Shetty
Sandip Ghoshal
Dan Lin
Jiashu Tao
Jaime Benabent
Jack Y
PB
Orlin Kuchumbov
s41t
Aydin
Brandon Canfield
Roberto de la Cruz
Keith K
Keith Schneider
Takaki Oshima
Matteo Loria
Jose Luis (Pit)
George Hale
Yiran Liu
Alex Tatomir
William Machado
Jonathan Mary
Jaan T
Divyanshu Ranjan
Vinay Kameswaran, Shawn Ng, Dave Cox
Salil Chandra
Sam Renton
Yuri G
Yufan Zhao
FilipVesovic
Kendric Postrero
Mikhail Soumar
Nicolas Auguin
AbbottL
Sébastien Geeraert
Yiyang Wei
Trevor Teolis
Francois Crucifix
pmmj
Srujan Gupta
Enrico
Lane Rogers
Egor Gorbachev
Andrew Smith
Senthil Rajasekaran
Siddhartha Srivastava
Daria Kolodzey
Tom Holmes
Christopher Kei
Amos Law
Kiara Chen
Harin Chong
GF
Jordan Katz
Neil Hacker
Reyer Swengel
Joey Yu
Qiuer Zhu
Ravi K
Nicolas Cherel
for fun player
ceb263
404akhan
Anton Hancharyk
Bastianazzo Messina
Ian Li
Noah W
istinetz
Nadia Magnuson & Sarah Fetter
VenuGVangala
Jonathan Kariv
Rafah Hajjar
qhua
lucasxia01
Hong Sen Du
Adya Madan
Tristan Ventresca
Bob Jansen
virginiadare
Yuhang Chen (Mercer)
Tennyson T Bardwell
Taylor Bahm

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