Author Topic: Count to 1 million  (Read 36577 times)

0 Members and 1 Guest are viewing this topic.

Offline Anonymous

  • Newbie
  • *
  • Posts: 164653
  • Karma: +3/-4
    • View Profile
doing time
« Reply #135 on: September 01, 2009, 02:56:56 PM »
Quote from: "Barbie Mattel"
There are 100 prisoners locked up in solitary cells. There is a central living room with one light bulb; the light bulb is initially off. No prisoner can see the light bulb from his cell. Every day, the warden picks a prisoner at random (i.e., the warden may pick one prisoner multiple days in a row), and that prisoner is taken to the living room. In the room, the prisoner can do one of three things: 1) toggle the light switch, 2) do nothing, or, 3) assert that all 100 prisoners have been in the living room at least once. If this assertion is false, all 100 prisoners are shot. If it is true, they go free. Before they were locked up, they got an hour to discuss a plan. What should be their strategy? [There are at least three known solutions, only one of which will get them out within their lifetime. Try to estimate the runtime of your solution.]

Progression, not hint:135
You have too much time on your hands- maybe you should be behind bars yourself.
« Last Edit: December 31, 1969, 07:00:00 PM by Guest »

Offline Anonymous

  • Newbie
  • *
  • Posts: 164653
  • Karma: +3/-4
    • View Profile
Re: Math is Hard
« Reply #136 on: September 01, 2009, 03:14:39 PM »
There are 100 prisoners locked up in solitary cells. There is a central living room with one light bulb; the light bulb is initially off. No prisoner can see the light bulb from his cell. Every day, the warden picks a prisoner at random (i.e., the warden may pick one prisoner multiple days in a row), and that prisoner is taken to the living room. In the room, the prisoner can do one of three things: 1) toggle the light switch, 2) do nothing, or, 3) assert that all 100 prisoners have been in the living room at least once. If this assertion is false, all 100 prisoners are shot. If it is true, they go free. Before they were locked up, they got an hour to discuss a plan. What should be their strategy? [There are at least three known solutions, only one of which will get them out within their lifetime. Try to estimate the runtime of your solution.]

Progression, not hint:137
Play nicely Warden. Don't you count?
« Last Edit: December 31, 1969, 07:00:00 PM by Guest »

Offline katiesthoughts

  • Posts: 54
  • Karma: +0/-0
    • View Profile
Re: Count to 1 million
« Reply #137 on: September 01, 2009, 11:22:36 PM »
138 AD: February 25 — Roman emperor Hadrian adopts Antoninus Pius on condition that Antoninus adopt Marcus Annius Aurelius Verus.
On Hadrian's death, the Senate, which had been stripped of power during his reign, refuses to deify him. Some speak of declaring him a tyrant, canceling his acts.


138!
« Last Edit: December 31, 1969, 07:00:00 PM by Guest »


Offline TheWho

  • Posts: 7256
  • Karma: +0/-0
    • View Profile
Re: Count to 1 million
« Reply #138 on: September 02, 2009, 12:05:59 AM »
One possible solution:

I think the key is the meeting.  If they assign one person to be the counter and everytime he enters the room he checks the switch.  If it is in the up position then he turns it off, otherwise he does nothing.  Each prisoner is told to check the light switch and if it is off they can turn it on.  But they can only do it once.  Every other time they enter the room they do nothing.  Once the counter detects the switch has been flicked up 99 times he says 100 visitors have entered and all the prisoners can go free.  If they did this once a day it would take years to get all 100 in the room.

139
« Last Edit: December 31, 1969, 07:00:00 PM by Guest »

Offline Che Gookin

  • Global Moderator
  • Newbie
  • *****
  • Posts: 4241
  • Karma: +11/-3
    • View Profile
Re: Count to 1 million
« Reply #139 on: September 02, 2009, 02:54:24 AM »
140
« Last Edit: December 31, 1969, 07:00:00 PM by Guest »

Offline TheWho

  • Posts: 7256
  • Karma: +0/-0
    • View Profile
Re: Count to 1 million
« Reply #140 on: September 02, 2009, 11:36:41 AM »
Quote from: "Guest"
The most likely number of days that the prisoners would serve would about 10,420 days. That a little over 28 years.


141
« Last Edit: December 31, 1969, 07:00:00 PM by Guest »

Offline Ursus

  • Newbie
  • *
  • Posts: 8989
  • Karma: +3/-0
    • View Profile
Re: Count to 1 million
« Reply #141 on: September 02, 2009, 05:49:09 PM »
One hundred forty-two.
« Last Edit: December 31, 1969, 07:00:00 PM by Guest »
-------------- • -------------- • --------------

Offline katiesthoughts

  • Posts: 54
  • Karma: +0/-0
    • View Profile
Re: Count to 1 million
« Reply #142 on: September 03, 2009, 02:12:36 AM »
Centoquaranta Tre
One hundred and forty three in Italian
143
« Last Edit: December 31, 1969, 07:00:00 PM by Guest »


Offline Inculcated

  • Newbie
  • *
  • Posts: 801
  • Karma: +1/-0
    • View Profile
Re: a million and counting
« Reply #143 on: September 03, 2009, 06:47:36 AM »
Catalog of Solar Eclipse Saros Series #144 The periodicity and recurrence of solar (and lunar) eclipses is governed by the Saros cycle, a period of approximately 6,585.3 days (18 years 11 days 8 hours). Solar eclipses of Saros 144 all occur at the Moon’s descending node and the Moon moves northward with each eclipse. The series began with a partial eclipse in the southern hemisphere on 1736 Apr 11. The series will end with a partial eclipse in the northern hemisphere on 2980 May 05. The total duration of Saros series 144 is 1244.08 years.
http://eclipse.gsfc.nasa.gov/
« Last Edit: December 31, 1969, 07:00:00 PM by Guest »
“A person needs a little madness, or else they never dare cut the rope and be free”  Nikos Kazantzakis

Offline Anonymous

  • Newbie
  • *
  • Posts: 164653
  • Karma: +3/-4
    • View Profile
Re: Count to 1 million
« Reply #144 on: September 03, 2009, 03:00:40 PM »
I just mainlined 145 mg of oxycodone!!!!!!!!
« Last Edit: December 31, 1969, 07:00:00 PM by Guest »

Offline Anonymous

  • Newbie
  • *
  • Posts: 164653
  • Karma: +3/-4
    • View Profile
Re: Count to 1 million
« Reply #145 on: September 03, 2009, 03:09:34 PM »
Yeah, you’re mainlining opioids… then suddenly you’re filled with enthusiasm enough to go online and type an announcement. !!!!!!!!!!!!!!!!!!!!!Too many exclamation points to be posted from anywhere near down in candy land…
Candy says she's made a refuge for me in the saaaaand candy says she wants me with her down in candy la-a-and.
146
« Last Edit: December 31, 1969, 07:00:00 PM by Guest »

Offline Anonymous

  • Newbie
  • *
  • Posts: 164653
  • Karma: +3/-4
    • View Profile
Re: Count to 1 million
« Reply #146 on: September 03, 2009, 03:18:01 PM »
Quote from: "Morphine"
Yeah, you’re mainlining opioids… then suddenly you’re filled with enthusiasm enough to go online and type an announcement. !!!!!!!!!!!!!!!!!!!!!Too many exclamation points to be posted from anywhere near down in candy land…
Candy says she's made a refuge for me in the saaaaand candy says she wants me with her down in candy la-a-and.
146

A lightweight like yoursel, maybe (and how much energy does it take to type a "!" severaql times?)---but I'm still kinda dopesick, so maybe I'll hit another 30-45 mg.  I'll do it in two shots---one with 90 units of solution and one with 57 units-----for a total of 147 running down the mainline....................
« Last Edit: December 31, 1969, 07:00:00 PM by Guest »

Offline Anonymous

  • Newbie
  • *
  • Posts: 164653
  • Karma: +3/-4
    • View Profile
Re: Count to 1 million
« Reply #147 on: September 03, 2009, 03:21:41 PM »
It’s the wherewithal and the inclination to do so that belies your silly story.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
148
« Last Edit: December 31, 1969, 07:00:00 PM by Guest »

Offline katiesthoughts

  • Posts: 54
  • Karma: +0/-0
    • View Profile
Re: Count to 1 million
« Reply #148 on: September 04, 2009, 05:42:55 PM »
Interesting fact 149:

Hedenophobic: Means Fear of Pleasure


http://forum.grasscity.com/general/3468 ... -here.html

149
« Last Edit: December 31, 1969, 07:00:00 PM by Guest »


Offline Che Gookin

  • Global Moderator
  • Newbie
  • *****
  • Posts: 4241
  • Karma: +11/-3
    • View Profile
Re: Count to 1 million
« Reply #149 on: September 04, 2009, 09:11:22 PM »
150 just because I'm a sick old buzzard who wants to get to 169, but mainly just the last two numbers.  :deal:
« Last Edit: December 31, 1969, 07:00:00 PM by Guest »