Problem 45425. The Tortoise and the Hare - 01

Suppose in an infinitely long line, the hare is standing in position 0.

From that place, it can jump either in the +ve direction or in the -ve [but not both].

One condition is that, in i-th jump, it can move i step. Meaning -

0
1  [1st step >> so 0+1]
3  [2nd step >> so 1+2]
6
10

Given a position x, determine whether the hare will be in that position or not.

For example,

 if x=15 then true 
 if x=14 then false.

Solve

Last Solution submitted on Oct 20, 2025

Binbin Qi on 7 Apr 2020

why 14 is false?
'-1-2+3-4+5+6+7'?

Asif Newaz on 7 Apr 2020

if it starts going in the forward direction, it'll always move in that way.
The movement will be unidirectional

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