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Fri, 19 Mar 2021 23:59:38 -0400 (EDT) Content-Type: text/plain; charset=us-ascii Mime-Version: 1.0 (Mac OS X Mail 12.4 \(3445.104.17\)) Subject: Re: run time of math problem From: =?utf-8?Q?Lawrence_Vel=C3=A1zquez?= In-Reply-To: <499ede49-ed95-005e-90d0-6c3265f4cea4@eastlink.ca> Date: Fri, 19 Mar 2021 23:59:37 -0400 Cc: zsh-users@zsh.org Content-Transfer-Encoding: 7bit Message-Id: <5F4EC7FA-639D-42A9-BCB6-C0477F675509@larryv.me> References: <41359-1616197959.973399@0dqq.OWmi.jXTb> <499ede49-ed95-005e-90d0-6c3265f4cea4@eastlink.ca> To: Ray Andrews X-Mailer: Apple Mail (2.3445.104.17) X-Seq: 26588 Archived-At: X-Loop: zsh-users@zsh.org Errors-To: zsh-users-owner@zsh.org Precedence: list Precedence: bulk Sender: zsh-users-request@zsh.org X-no-archive: yes List-Id: List-Help: List-Subscribe: List-Unsubscribe: List-Post: List-Owner: List-Archive: Archived-At: > On Mar 19, 2021, at 10:40 PM, Ray Andrews wrote: > > As to the rest I was just stupidly forgetting that I'm in a loop. > I'm faking a summation. We don't have summation do we? Not that I'm aware of, but you're computing partial sums of geometric series [*], so you have a closed-form expression available to you: for (( level = 1; level < 100; level++ )); do (( remainder = (level - 1.0) / level, sum = level - level * remainder**level, divided = sum * (1.0 / level) )) echo for level: $level, survival: $divided done [*]: https://mathworld.wolfram.com/GeometricSeries.html -- vq