https://artofproblemsolving.com/wiki/api.php?action=feedcontributions&user=Rohanqv&feedformat=atomAoPS Wiki - User contributions [en]2024-03-29T08:38:42ZUser contributionsMediaWiki 1.31.1https://artofproblemsolving.com/wiki/index.php?title=User:OlympusHero&diff=133345User:OlympusHero2020-09-08T02:05:51Z<p>Rohanqv: /* User Count */</p>
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<div>OlympusHero's Page:<br />
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==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="107px"> 104<br />
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<div style="border:2px solid black; background:#cccccc;-webkit-border-radius: 10px; align:center"></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Rohanqv&diff=132331User:Rohanqv2020-08-21T23:54:34Z<p>Rohanqv: </p>
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==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="red">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">0</font></center><br />
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</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Rohanqv&diff=132330User:Rohanqv2020-08-21T23:54:15Z<p>Rohanqv: </p>
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==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="red">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">0</font></center><br />
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==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<div style="margin-left: 10px; margin-bottom:10px"><font color="red">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">0</font></center><br />
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</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Rohanqv&diff=132329User:Rohanqv2020-08-21T23:53:36Z<p>Rohanqv: </p>
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==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="red">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
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<center><font size="101px">0</font></center><br />
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</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Rohanqv&diff=132328User:Rohanqv2020-08-21T23:53:21Z<p>Rohanqv: /* User Count */</p>
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<div style="margin-left: 10px; margin-bottom:10px"><font color="red">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">0</font></center><br />
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<center><font size="101px">0</font></center><br />
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</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Rohanqv&diff=132327User:Rohanqv2020-08-21T23:52:34Z<p>Rohanqv: /* User Count */</p>
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==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="red">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">0</font></center><br />
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==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="blue"><br />
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==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
Get 1000 posts <br><br />
Get a perfect score in AMC 8. <br><br />
<br />
</font><br />
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</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Rohanqv&diff=132326User:Rohanqv2020-08-21T23:52:22Z<p>Rohanqv: /* User Count */</p>
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==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="red">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">0</font></center><br />
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==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="blue"><br />
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==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
Get 1000 posts <br><br />
Get a perfect score in AMC 8. <br><br />
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</font>==<br />
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</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Rohanqv&diff=132325User:Rohanqv2020-08-21T23:51:28Z<p>Rohanqv: </p>
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==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="red">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">0</font></center><br />
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==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="blue"><br />
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==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
Get 1000 posts<br />
Get a perfect score in AMC 8.<br />
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</font>==<br />
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</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Rohanqv&diff=132324User:Rohanqv2020-08-21T23:50:19Z<p>Rohanqv: </p>
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__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="red">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">0</font></center><br />
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==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
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==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div><br />
<list><br />
<li>Get a perfect AMC 8 score<br />
<li>Get 1000 posts<br />
<list><br />
</font>==<br />
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</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:OlympusHero&diff=132323User:OlympusHero2020-08-21T23:47:38Z<p>Rohanqv: /* User Count */</p>
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<div>OlympusHero's Page:<br />
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__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">If this is your first time visiting this page, edit it by incrementing the user count belOw by one.</font></div><br />
<center><font size="107px"> 101<br />
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==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">OlympusHero is currently borderline AIME.<br><br />
<br />
OlympusHero is 10 years old.<br><br />
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OlympusHero scored 47/46 (got an extra point for finishing the test under 10 minutes) when mocking the 2019 MATHCOUNTS State test, and got silver on the 2020 online MATHCOUNTS State.<br><br />
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OlympusHero is a pro at maths and chess<br />
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OlympusHero for black mop 2021<br />
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OlympusHero was #1 at the 2017 Chess World Cadets U8 (He was 7 years old)<br />
<br />
OlympusHero is pro believe it<br />
<br />
OlympusHero is much better than Rusczyk at maths yes<br />
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==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px">A User Count of 300<br />
<br />
Make AIME 2021 (Currently borderline)<br />
<br />
Get 5 or more on AIME I 2021 (Mocked a 3 on the 2020 AIME I a few months ago)<br />
<br />
Get to 40 or more on the MATHCOUNTS Trainer Nationals Level (25/40)<br />
<br />
Get a perfect score and First Place in IMO 2021.<br />
</div><br />
</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Rohanqv&diff=132322User:Rohanqv2020-08-21T23:41:25Z<p>Rohanqv: /* Goals */</p>
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<div>RohanQV's's Page:<br />
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__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="red">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">0</font></center><br />
</div><br />
<div style="border:2px solid black; background:#cccccc;-webkit-border-radius: 10px; align:center"><br />
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==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black"><br />
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==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
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</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Rohanqv&diff=132321User:Rohanqv2020-08-21T23:40:42Z<p>Rohanqv: </p>
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<div>RohanQV's's Page:<br />
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__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="red">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">0</font></center><br />
</div><br />
<div style="border:2px solid black; background:#cccccc;-webkit-border-radius: 10px; align:center"><br />
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==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black"><br />
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==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px">A User Count of 100<br />
{{User:Piphi/Template:Progress_Bar|9|width=100%}}<br />
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</div><br />
</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Edud_looc&diff=131736User:Edud looc2020-08-13T17:41:18Z<p>Rohanqv: /* User Count */</p>
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<div>==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="102px">9<br />
</font></center><br />
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<div style="border:2px solid black; background:#cccccc;-webkit-border-radius: 10px; align:center"><br />
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==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">eduD_looC is 11 years old.<br><br />
<br />
eduD_looC is a pro at maths and chess<br />
<br />
eduD_looC is much better than OlympusHero at maths<br />
</font></div><br />
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<div style="border:2px solid black; background:#bbbbbb;-webkit-border-radius: 10px; align:center"><br />
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==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px">A User Count of 400<br />
<br />
Get at least 8 on AIME 2021 (Got 5 in AOIME)<br />
<br />
Get distinguished on AMC 10 2021<br />
<br />
</div><br />
</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=Getting_Started_With_Python_Programming&diff=131451Getting Started With Python Programming2020-08-11T02:45:39Z<p>Rohanqv: /* Important */</p>
<hr />
<div>== Important ==<br />
This guide takes you through the process of getting started with programming using the Python programming language. The only language that AoPS teaches (as of July 28, 2020) in a class is Python. <br />
<br />
The sections flow from one to the next so it's recommended to read through this document in order from top to bottom. If you are interested in learning the basics of python check out eh intro to python class.<br />
<br />
If you find that this is too easy, '''make sure you've read everything through (at least roughly)''', and check out [[Basic Programming With Python]].<br />
<br />
==Installing Python==<br />
<br />
'''Note:''' ''Introduction to Programming with Python'' students on a Chromebook should use an online Python compiler such as [https://repl.it/languages/python3 this one]. There is not a good way for students to install Python on a Chromebook and use it as a learning environment. Students in ''Intermediate Programming with Python'' should not use a Chromebook because they will need the tkinter GUI toolkit for the class. Instead, ''Intermediate Programming with Python'' students should install Python on a regular computer.<br />
<br />
Python is a useful and popular computer programming language. Confusingly, Python has two major versions (2 and 3) and they are not fully compatible. We recommend using the most recent release of version 3. (This is the version that our [http://www.artofproblemsolving.com/School/courseinfo.php?course_id=python1 Introduction to Programming with Python course] uses -- if you are enrolled in that class, you '''must''' have Python 3.) There is absolutely nothing wrong with Python 2, as it is what most of today's technology supports and uses, but Python 3 is well on the way of replacing Python 2, so it will be more useful in a few years.<br />
<br />
<br />
#Go to the Python download page at http://www.python.org/downloads. Near the top of the page, there will be a list of download links for the Python 3.8.x installer. (The x will be replaced by a number -- as of July 2019 the version is 3.7.4. As of July 2020 the version is 3.83.) If you are given multiple options, click on the link that corresponds to your computer type (Windows or Mac, 32-bit or 64-bit -- if you're not sure, use the 32-bit version.) Some browsers will save the file automatically, others may pop up a box asking you if you want to save the file, in which case you should click the "save file" option. Depending on how your browser is configured, you may be asked where to save the file. If this is the case, keep track of where you save the installer.<br />
#Find where the installer was downloaded and double click on it to run it. On most browsers, you should simply be able to double-click the installer from the browser's "Downloads" window or menu. You may also have to click "Run" or "Yes" to a security window -- do this if necessary.<br />
#The setup wizard should launch. You should just click "Next" for every option in the setup wizard (i.e. use the defaults) unless you have some specific reason not to.<br />
#Familiarize yourself with the Python shell and IDLE text editor by running through the two sections below.<br />
#If you like everything dark, you may go to Options->Configure IDLE->Highlights and change it to the built-in dark theme<br />
# If you need assistance when finding errors quickly install the free version of Pycharm at https://www.jetbrains.com/pycharm/download/#section=mac for macs and https://www.jetbrains.com/pycharm/download/#section=windows for windows<br />
===For Linux users===<br />
Installing python on Linux is a different story. You should enter the command in the terminal specified to your distro.<br />
#For Ubuntu, Debian and Mint: \$sudo apt install python3<br />
#For RHEL / CentOS / Scientific / Fedora: #sudo dnf install python3<br />
#For Arch Based distros - sudo pacman -S python<br />
<br />
==Programming==<br />
<br />
Yay, it's time to program! The next few sections will talk about some very basic programming. We will program a few programs as a demonstration.<br />
<br />
===Using the Python Shell (Not Pycharm)===<br />
The program that you'll use to run Python is called IDLE. It may be listed on your computer as "IDLE (Python GUI)". <br />
* On a Mac, IDLE should be in the Applications folder. <br />
* On Windows, IDLE should be accessible from the Start menu in a folder named "Python 3.7" (or something similar).<br />
The icon for IDLE looks something like this [[File:Idleicon.png]] or this [[File:Idleiconmac.png]].<br />
<br />
When you first open IDLE, you'll see the Python Shell (the numbers on your shell might be different than those shown below): <br />
<br />
[[File:Idle2-1.png]]<br />
<br />
(The screenshots in this article are taken using IDLE on a Mac with the font increased. Thus IDLE may look a little bit different for you but should still function similarly.)<br />
<br />
Note that the first line is the version of Python, which is 3.1.2 in the screenshot but should be 3.7.something if you installed it as directed above. Another thing to note is that in the lower right-hand corner of the Python Shell you can see that it says "Ln: 4 Col: 4". This is just telling you where in the document your cursor is. In this case, it's on line 4 and over in column 4. (The line and column number may be slightly different for your installation.)<br />
<br />
When you first start up Python on a Mac, you might get the following warning:<br />
: >>> WARNING: The version of Tcl/Tk (8.5.9) in use may be unstable.<br />
: Visit http://www.python.org/download/mac/tcltk/ for current information.<br />
If you get this warning, you'll need to update a graphics driver on your computer. Follow the link shown above and download and install the ActiveTcl driver that's recommended for the version of OS X that your Mac is running. This most likely will be 8.5.15.0, which you can also download directly from http://www.activestate.com/activetcl/downloads (IMPORTANT: you only need to do this step if you get the warning printed above when you start IDLE for the first time. If you don't get the warning, then everything is good to go.)<br />
<br />
<br />
The Python Shell is very useful for quick one-liners and short sequences of commands:<br />
<br />
[[File:Idle2-2.2.png]]<br />
<br />
Here we see a number of familiar operations: + for addition, - for subtraction, * for multiplication, and / for division. The last operation shown in the example, denoted by **, happens to be exponentiation. One neat feature to note about Python is that it can store arbitrarily large numbers (limited by the amount of memory your computer has). Trying some hefty exponentiation, we can see that we can compute with some pretty big numbers such as <math>2^{1000}</math> as illustrated below.<br />
<br />
[[File:Idle2-3.png]]<br />
<br />
While Python can make for a pretty good calculator, it can do a whole lot more. One example is when dealing with strings as follows:<br />
<br />
[[File:Idle2-4.png]]<br />
<br />
Here we are concatenating the three strings "python", "is", and "cool" by using the + operator. Notice that previously we used + to add numbers but now with strings, Python concatenates them! You may also note that the output of the operation gives us a string with single quotes around it. In Python, you are able to use single quotes or double quotes to denote a string. You can use them interchangeably.<br />
<br />
As a final example, we can even write code in the Python Shell that extends beyond a single line as shown below. We also see our first example of a <math>\verb=for=</math> loop.<br />
<br />
[[File:Idle2-5.png]]<br />
<br />
As you type the above, the Python Shell will automatically indent the second line for you. To let the Python Shell know that you're done and are ready for it to run your code, you'll need to put in an extra blank line by hitting the Enter key again. At that point, it should run your code and print your output.<br />
<br />
Take some time to play around with the Python Shell. You'll want to go through a more extensive introduction to programming to learn the full extent of what you can do with Python, but you can still do some pretty nifty stuff by just playing around. The Python Shell also has an extensive built-in help system -- just type '''help()''' at the ">>>" prompt to get started and then follow the instructions it gives you.<br />
<br />
===The IDLE Text Editor===<br />
For most programming needs, you'll want to edit your program in a separate document and then run it. Luckily, IDLE comes with its own built-in text editor.<br />
<br />
To get started, go to the File menu of the Python Shell and click on "New Window". This should give you a blank document with the title "Untitled" as shown below:<br />
<br />
[[File:Idle2-6.png]]<br />
<br />
You'll need to save your file before running it, so you might as well save it now. Make sure that you name your file with a file name with a file extension of .py (so it ends with .py), so your computer knows that it is a Python program. Here, we save ours as test.py:<br />
<br />
[[File:Idle2-7.png]]<br />
<br />
To get acquainted with the text editor, let's write our first Python program! Let's write a program that will do the following task:<br />
<br />
'''Print all the integers from 1 to 50 inclusive.'''<br />
<br />
We can achieve this by using a loop that can loop through all the integers. Luckily, Python has a function just for doing that! We use a for loop with the following code:<br />
<br />
[[File:Test_.png]]<br />
<br />
Note that as you type, the keywords like "for", "in", "range" and "print" get colored in orange or purple!<br />
Also, note that you must copy the exact same indentation. Even though the editor automatically indents for you when you type <code>for i in range(1, 51):</code>, the proper indentation in Python is super important! If you don't do it correctly, the program will not compile correctly.<br />
<br />
You can indent by pressing Tab on your keyboard.<br />
<br />
This for loop means to iterate from 1 to 51 excluding the 51 and including the 1. Every iteration, Python will print out the number that it is iterating through.<br />
<br />
Now that you've written this code, you probably want to run it and test it out. You can do so by going to the Run menu and hitting "Run Module" (or by pressing F5 on your keyboard). The ===RESTART=== line means that Python is clearing all the work you've previously done before it starts running your program. The program should execute and print all the integers to the Python Shell. If it didn't, then make sure your code exactly matches the code above. This is what you should get:<br />
<br />
[[File:Test__results.png]]<br />
<br />
If your code worked, congratulations! You have written your very first program! Now, let's try another more useful one.<br />
<br />
'''Find the sum of all the positive multiples of 3 below 1000.'''<br />
<br />
We first need to create a new file. Go into the Python Shell and click on New Window again. Remember, we must save our file first. We can save it as test2.py. Now, on to the coding!<br />
We can solve this by keeping a running total: we'll start with the smallest positive multiple of 3 and go up one multiple at a time keeping track of the sum, stopping once we hit 1000. We can do this with the following code:<br />
<br />
[[File:Idle2-8.png]]<br />
<br />
This is called a while loop. While loops keep iterating until a statement becomes false.<br />
Notice that as you type the above code, the keywords ("while" and "print") will automatically get colored -- this makes the code easier to read. Also, after typing the line "while i < 1000:", the editor will automatically start indenting for you. When you get to the line "print(total)", you'll need to use the backspace key to remove the indentation. It is important that the code looks exactly like it does in the screenshot above. Again, in Python, proper indentation is very important!<br />
<br />
This program basically works by incrementing the variable <math>\verb=i=</math> by 3 every time and adding it to the variable <math>\verb=total=</math>. The <math>\verb%+=%</math> operation might be intimidating at first. However, the statement <math>\verb%i += 3%</math> is just a shorthand for <math>\verb%i = i + 3%</math>. (So <math>\verb%a += b%</math> means <math>\verb&a = a + b&</math>.)<br />
<br />
Run your program, and you should get this:<br />
<br />
[[File:Idle2-9.png]]<br />
<br />
Again, the ===RESTART=== line just means that Python is clearing all the work you've previously done before it starts running your program. Then, the program runs and we get our answer, 166833. If you instead get an error message or a different answer, check that your program exactly matches the screenshot above, and try it again.<br />
<br />
Congrats! You have written your first two Python programs!<br />
<br />
==What's Next?==<br />
<br />
Now that you've learned the very basics of getting Python going, there's a bunch of tutorials you can look at which are [http://wiki.python.org/moin/BeginnersGuide/NonProgrammers listed] on the Python website. Go check them out! Another great resource is "Stack Overflow," a forums website built for people who would like to talk about and get help with programming. It is also recommended that you check out a wiki article discussing more advanced python, namely [[Basic Programming With Python]].<br />
<br />
Or, you can take our Introduction to Programming with Python online course!<br />
<br />
== See also ==<br />
* [[Basic Programming With Python]]<br />
* [[Pycharm]]</div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=Getting_Started_With_Python_Programming&diff=131450Getting Started With Python Programming2020-08-11T02:45:21Z<p>Rohanqv: /* Important */</p>
<hr />
<div>== Important ==<br />
This guide takes you through the process of getting started with programming using the Python programming language. The only language that AoPS teaches (as of July 28, 2020) in a class is Python. <br />
<br />
The sections flow from one to the next so it's recommended to read through this document in order from top to bottom. I you are interested in learning the basics of python check out eh intro to python class.<br />
<br />
If you find that this is too easy, '''make sure you've read everything through (at least roughly)''', and check out [[Basic Programming With Python]].<br />
<br />
==Installing Python==<br />
<br />
'''Note:''' ''Introduction to Programming with Python'' students on a Chromebook should use an online Python compiler such as [https://repl.it/languages/python3 this one]. There is not a good way for students to install Python on a Chromebook and use it as a learning environment. Students in ''Intermediate Programming with Python'' should not use a Chromebook because they will need the tkinter GUI toolkit for the class. Instead, ''Intermediate Programming with Python'' students should install Python on a regular computer.<br />
<br />
Python is a useful and popular computer programming language. Confusingly, Python has two major versions (2 and 3) and they are not fully compatible. We recommend using the most recent release of version 3. (This is the version that our [http://www.artofproblemsolving.com/School/courseinfo.php?course_id=python1 Introduction to Programming with Python course] uses -- if you are enrolled in that class, you '''must''' have Python 3.) There is absolutely nothing wrong with Python 2, as it is what most of today's technology supports and uses, but Python 3 is well on the way of replacing Python 2, so it will be more useful in a few years.<br />
<br />
<br />
#Go to the Python download page at http://www.python.org/downloads. Near the top of the page, there will be a list of download links for the Python 3.8.x installer. (The x will be replaced by a number -- as of July 2019 the version is 3.7.4. As of July 2020 the version is 3.83.) If you are given multiple options, click on the link that corresponds to your computer type (Windows or Mac, 32-bit or 64-bit -- if you're not sure, use the 32-bit version.) Some browsers will save the file automatically, others may pop up a box asking you if you want to save the file, in which case you should click the "save file" option. Depending on how your browser is configured, you may be asked where to save the file. If this is the case, keep track of where you save the installer.<br />
#Find where the installer was downloaded and double click on it to run it. On most browsers, you should simply be able to double-click the installer from the browser's "Downloads" window or menu. You may also have to click "Run" or "Yes" to a security window -- do this if necessary.<br />
#The setup wizard should launch. You should just click "Next" for every option in the setup wizard (i.e. use the defaults) unless you have some specific reason not to.<br />
#Familiarize yourself with the Python shell and IDLE text editor by running through the two sections below.<br />
#If you like everything dark, you may go to Options->Configure IDLE->Highlights and change it to the built-in dark theme<br />
# If you need assistance when finding errors quickly install the free version of Pycharm at https://www.jetbrains.com/pycharm/download/#section=mac for macs and https://www.jetbrains.com/pycharm/download/#section=windows for windows<br />
===For Linux users===<br />
Installing python on Linux is a different story. You should enter the command in the terminal specified to your distro.<br />
#For Ubuntu, Debian and Mint: \$sudo apt install python3<br />
#For RHEL / CentOS / Scientific / Fedora: #sudo dnf install python3<br />
#For Arch Based distros - sudo pacman -S python<br />
<br />
==Programming==<br />
<br />
Yay, it's time to program! The next few sections will talk about some very basic programming. We will program a few programs as a demonstration.<br />
<br />
===Using the Python Shell (Not Pycharm)===<br />
The program that you'll use to run Python is called IDLE. It may be listed on your computer as "IDLE (Python GUI)". <br />
* On a Mac, IDLE should be in the Applications folder. <br />
* On Windows, IDLE should be accessible from the Start menu in a folder named "Python 3.7" (or something similar).<br />
The icon for IDLE looks something like this [[File:Idleicon.png]] or this [[File:Idleiconmac.png]].<br />
<br />
When you first open IDLE, you'll see the Python Shell (the numbers on your shell might be different than those shown below): <br />
<br />
[[File:Idle2-1.png]]<br />
<br />
(The screenshots in this article are taken using IDLE on a Mac with the font increased. Thus IDLE may look a little bit different for you but should still function similarly.)<br />
<br />
Note that the first line is the version of Python, which is 3.1.2 in the screenshot but should be 3.7.something if you installed it as directed above. Another thing to note is that in the lower right-hand corner of the Python Shell you can see that it says "Ln: 4 Col: 4". This is just telling you where in the document your cursor is. In this case, it's on line 4 and over in column 4. (The line and column number may be slightly different for your installation.)<br />
<br />
When you first start up Python on a Mac, you might get the following warning:<br />
: >>> WARNING: The version of Tcl/Tk (8.5.9) in use may be unstable.<br />
: Visit http://www.python.org/download/mac/tcltk/ for current information.<br />
If you get this warning, you'll need to update a graphics driver on your computer. Follow the link shown above and download and install the ActiveTcl driver that's recommended for the version of OS X that your Mac is running. This most likely will be 8.5.15.0, which you can also download directly from http://www.activestate.com/activetcl/downloads (IMPORTANT: you only need to do this step if you get the warning printed above when you start IDLE for the first time. If you don't get the warning, then everything is good to go.)<br />
<br />
<br />
The Python Shell is very useful for quick one-liners and short sequences of commands:<br />
<br />
[[File:Idle2-2.2.png]]<br />
<br />
Here we see a number of familiar operations: + for addition, - for subtraction, * for multiplication, and / for division. The last operation shown in the example, denoted by **, happens to be exponentiation. One neat feature to note about Python is that it can store arbitrarily large numbers (limited by the amount of memory your computer has). Trying some hefty exponentiation, we can see that we can compute with some pretty big numbers such as <math>2^{1000}</math> as illustrated below.<br />
<br />
[[File:Idle2-3.png]]<br />
<br />
While Python can make for a pretty good calculator, it can do a whole lot more. One example is when dealing with strings as follows:<br />
<br />
[[File:Idle2-4.png]]<br />
<br />
Here we are concatenating the three strings "python", "is", and "cool" by using the + operator. Notice that previously we used + to add numbers but now with strings, Python concatenates them! You may also note that the output of the operation gives us a string with single quotes around it. In Python, you are able to use single quotes or double quotes to denote a string. You can use them interchangeably.<br />
<br />
As a final example, we can even write code in the Python Shell that extends beyond a single line as shown below. We also see our first example of a <math>\verb=for=</math> loop.<br />
<br />
[[File:Idle2-5.png]]<br />
<br />
As you type the above, the Python Shell will automatically indent the second line for you. To let the Python Shell know that you're done and are ready for it to run your code, you'll need to put in an extra blank line by hitting the Enter key again. At that point, it should run your code and print your output.<br />
<br />
Take some time to play around with the Python Shell. You'll want to go through a more extensive introduction to programming to learn the full extent of what you can do with Python, but you can still do some pretty nifty stuff by just playing around. The Python Shell also has an extensive built-in help system -- just type '''help()''' at the ">>>" prompt to get started and then follow the instructions it gives you.<br />
<br />
===The IDLE Text Editor===<br />
For most programming needs, you'll want to edit your program in a separate document and then run it. Luckily, IDLE comes with its own built-in text editor.<br />
<br />
To get started, go to the File menu of the Python Shell and click on "New Window". This should give you a blank document with the title "Untitled" as shown below:<br />
<br />
[[File:Idle2-6.png]]<br />
<br />
You'll need to save your file before running it, so you might as well save it now. Make sure that you name your file with a file name with a file extension of .py (so it ends with .py), so your computer knows that it is a Python program. Here, we save ours as test.py:<br />
<br />
[[File:Idle2-7.png]]<br />
<br />
To get acquainted with the text editor, let's write our first Python program! Let's write a program that will do the following task:<br />
<br />
'''Print all the integers from 1 to 50 inclusive.'''<br />
<br />
We can achieve this by using a loop that can loop through all the integers. Luckily, Python has a function just for doing that! We use a for loop with the following code:<br />
<br />
[[File:Test_.png]]<br />
<br />
Note that as you type, the keywords like "for", "in", "range" and "print" get colored in orange or purple!<br />
Also, note that you must copy the exact same indentation. Even though the editor automatically indents for you when you type <code>for i in range(1, 51):</code>, the proper indentation in Python is super important! If you don't do it correctly, the program will not compile correctly.<br />
<br />
You can indent by pressing Tab on your keyboard.<br />
<br />
This for loop means to iterate from 1 to 51 excluding the 51 and including the 1. Every iteration, Python will print out the number that it is iterating through.<br />
<br />
Now that you've written this code, you probably want to run it and test it out. You can do so by going to the Run menu and hitting "Run Module" (or by pressing F5 on your keyboard). The ===RESTART=== line means that Python is clearing all the work you've previously done before it starts running your program. The program should execute and print all the integers to the Python Shell. If it didn't, then make sure your code exactly matches the code above. This is what you should get:<br />
<br />
[[File:Test__results.png]]<br />
<br />
If your code worked, congratulations! You have written your very first program! Now, let's try another more useful one.<br />
<br />
'''Find the sum of all the positive multiples of 3 below 1000.'''<br />
<br />
We first need to create a new file. Go into the Python Shell and click on New Window again. Remember, we must save our file first. We can save it as test2.py. Now, on to the coding!<br />
We can solve this by keeping a running total: we'll start with the smallest positive multiple of 3 and go up one multiple at a time keeping track of the sum, stopping once we hit 1000. We can do this with the following code:<br />
<br />
[[File:Idle2-8.png]]<br />
<br />
This is called a while loop. While loops keep iterating until a statement becomes false.<br />
Notice that as you type the above code, the keywords ("while" and "print") will automatically get colored -- this makes the code easier to read. Also, after typing the line "while i < 1000:", the editor will automatically start indenting for you. When you get to the line "print(total)", you'll need to use the backspace key to remove the indentation. It is important that the code looks exactly like it does in the screenshot above. Again, in Python, proper indentation is very important!<br />
<br />
This program basically works by incrementing the variable <math>\verb=i=</math> by 3 every time and adding it to the variable <math>\verb=total=</math>. The <math>\verb%+=%</math> operation might be intimidating at first. However, the statement <math>\verb%i += 3%</math> is just a shorthand for <math>\verb%i = i + 3%</math>. (So <math>\verb%a += b%</math> means <math>\verb&a = a + b&</math>.)<br />
<br />
Run your program, and you should get this:<br />
<br />
[[File:Idle2-9.png]]<br />
<br />
Again, the ===RESTART=== line just means that Python is clearing all the work you've previously done before it starts running your program. Then, the program runs and we get our answer, 166833. If you instead get an error message or a different answer, check that your program exactly matches the screenshot above, and try it again.<br />
<br />
Congrats! You have written your first two Python programs!<br />
<br />
==What's Next?==<br />
<br />
Now that you've learned the very basics of getting Python going, there's a bunch of tutorials you can look at which are [http://wiki.python.org/moin/BeginnersGuide/NonProgrammers listed] on the Python website. Go check them out! Another great resource is "Stack Overflow," a forums website built for people who would like to talk about and get help with programming. It is also recommended that you check out a wiki article discussing more advanced python, namely [[Basic Programming With Python]].<br />
<br />
Or, you can take our Introduction to Programming with Python online course!<br />
<br />
== See also ==<br />
* [[Basic Programming With Python]]<br />
* [[Pycharm]]</div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Piphi&diff=131022User:Piphi2020-08-07T19:14:17Z<p>Rohanqv: /* User Count */</p>
<hr />
<div>{{User:Piphi/Template:Header}}<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">296</font></center><br />
</div><br />
<div style="border:2px solid black; background:#cccccc;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">Piphi is legendary and made the USA IMO team in 2019.<br><br />
<br />
Piphi is the creator of the [[User:Piphi/Games|AoPS Wiki Games by Piphi]], the future of games on AoPS.<br><br />
<br />
Piphi started the signature trend at around May 2020.<br><br />
<br />
Piphi is an extremely OP person - LJCoder619. <br><br />
<br />
Piphi is OP --[[User:Aray10|Aray10]] ([[User talk:Aray10|talk]]) 23:22, 17 June 2020 (EDT) <br><br />
<br />
Piphi has been very close to winning multiple [[Greed Control]] games, piphi placed 5th in game #18 and 2nd in game #19. Thanks to piphi, Greed Control games have started to be kept track of. Piphi made a spreadsheet that has all of Greed Control history [https://artofproblemsolving.com/community/c19451h2126208p15569802 here].<br><br />
<br />
Piphi also found out who won [[Reaper]] games #1 and #2 as seen [https://artofproblemsolving.com/community/c19451h1826745p15526330 here].<br><br />
<br />
Piphi has been called op by many AoPSers, including the legendary [[User:Radio2|Radio2]] himself [https://artofproblemsolving.com/community/c19451h1826745p15526800 here]. (note: Radio2 calls many users op.)<br><br />
<br />
Piphi created the [[AoPS Administrators]] page, added most of the AoPS Admins to it, and created the scrollable table.<br><br />
<br />
Piphi has also added a lot of the info that is in the [[Reaper Archives]].<br><br />
<br />
Piphi has a side-project that is making the Wiki's [[Main Page]] look better, you can check that out [[User:Piphi/AoPS Wiki|here]].<br><br />
<br />
Piphi published Greed Control Game 19 statistics [https://artofproblemsolving.com/community/c19451h2126212 here].<br />
<br />
Piphi has a post that was made an announcement on a official AoPS Forum [https://artofproblemsolving.com/community/c68h2175116 here].<br />
<br />
Piphi is a proud member of [https://artofproblemsolving.com/community/c562043 The Interuniversal GMAAS Society].<br />
</font></div><br />
</div><br />
<div style="border:2px solid black; background:#bbbbbb;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px">A User Count of 330<br />
{{User:Piphi/Template:Progress_Bar|86.67|width=100%}}<br />
<br />
200 subpages of [[User:Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|58|width=100%}}<br />
<br />
200 signups for [[User:Piphi/Games|AoPS Wiki Games by Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|38.5|width=100%}}<br />
<br />
Make 10,000 edits<br />
{{User:Piphi/Template:Progress_Bar|17.92|width=100%}}</div><br />
</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Rusczyk&diff=130959User:Rusczyk2020-08-07T07:00:08Z<p>Rohanqv: /* User Count */</p>
<hr />
<div>Rusczyk's Page:<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#4EC284"><br />
==<font color="white" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="white">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><font color="white"><br />
<center><font size="101px">19</font></center><br />
</div><br />
<div style="border:2px solid black; background:#4EC284;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="white" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="white">Rusczyk is currently borderline AIME.<br><br />
<br />
Rusczyk just turned 13 years old.<br><br />
<br />
Rusczyk scored 44/46 when mocking the 2018 MATHCOUNTS State test, and got silver on the 2020 online MATHCOUNTS State held on AoPS.<br><br />
<br />
Rusczyk is a pro at maths and physics<br />
<br />
Rusczyk has come world and country #1 in various international tournaments and competitions starting from 2017<br />
<br />
Rusczyk is HORRIBLE at maths<br />
</font></div><br />
</div><br />
<div style="border:2px solid black; background:#4EC284;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="white" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px"><font color="white"> A User Count of 500<br />
<br />
Make AIME 2021 (Currently borderline)<br />
<br />
Pass AP Calculus AB, BC and AP Physics exam<br />
<br />
Get in the Alcumus HoF in the next 6 months<br />
<br />
Get <math>\color{white}{2 \times}</math> medals this year as compared to what they did last year. That is <math>\color{white}{2 \times 14 = \boxed{28}}</math> which is nearly impossible.<br />
</div><br />
</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Piphi&diff=130926User:Piphi2020-08-07T04:05:33Z<p>Rohanqv: /* Goals */</p>
<hr />
<div>{{User:Piphi/Template:Header}}<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
]</div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Piphi&diff=130925User:Piphi2020-08-07T04:04:50Z<p>Rohanqv: /* About Me */</p>
<hr />
<div>{{User:Piphi/Template:Header}}<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
]<br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px">A User Count of 330<br />
{{User:Piphi/Template:Progress_Bar|86.67|width=100%}}<br />
<br />
200 subpages of [[User:Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|58|width=100%}}<br />
<br />
200 signups for [[User:Piphi/Games|AoPS Wiki Games by Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|38.5|width=100%}}<br />
<br />
Make 10,000 edits<br />
{{User:Piphi/Template:Progress_Bar|17.92|width=100%}}</div><br />
</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Piphi&diff=130923User:Piphi2020-08-07T04:04:35Z<p>Rohanqv: /* User Count */</p>
<hr />
<div>{{User:Piphi/Template:Header}}<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">Piphi is legendary and made the USA IMO team in 2019.<br><br />
<br />
Piphi is the creator of the [[User:Piphi/Games|AoPS Wiki Games by Piphi]], the future of games on AoPS.<br><br />
<br />
Piphi started the signature trend at around May 2020.<br><br />
<br />
Piphi is an extremely OP person - LJCoder619. <br><br />
<br />
Piphi is OP --[[User:Aray10|Aray10]] ([[User talk:Aray10|talk]]) 23:22, 17 June 2020 (EDT) <br><br />
<br />
Piphi has been very close to winning multiple [[Greed Control]] games, piphi placed 5th in game #18 and 2nd in game #19. Thanks to piphi, Greed Control games have started to be kept track of. Piphi made a spreadsheet that has all of Greed Control history [https://artofproblemsolving.com/community/c19451h2126208p15569802 here].<br><br />
<br />
Piphi also found out who won [[Reaper]] games #1 and #2 as seen [https://artofproblemsolving.com/community/c19451h1826745p15526330 here].<br><br />
<br />
Piphi has been called op by many AoPSers, including the legendary [[User:Radio2|Radio2]] himself [https://artofproblemsolving.com/community/c19451h1826745p15526800 here]. (note: Radio2 calls many users op.)<br><br />
<br />
Piphi created the [[AoPS Administrators]] page, added most of the AoPS Admins to it, and created the scrollable table.<br><br />
<br />
Piphi has also added a lot of the info that is in the [[Reaper Archives]].<br><br />
<br />
Piphi has a side-project that is making the Wiki's [[Main Page]] look better, you can check that out [[User:Piphi/AoPS Wiki|here]].<br><br />
<br />
Piphi published Greed Control Game 19 statistics [https://artofproblemsolving.com/community/c19451h2126212 here].<br />
<br />
Piphi has a post that was made an announcement on a official AoPS Forum [https://artofproblemsolving.com/community/c68h2175116 here].<br />
<br />
Piphi is a proud member of [https://artofproblemsolving.com/community/c562043 The Interuniversal GMAAS Society].<br />
</font></div><br />
</div><br />
<div style="border:2px solid black; background:#bbbbbb;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px">A User Count of 330<br />
{{User:Piphi/Template:Progress_Bar|86.67|width=100%}}<br />
<br />
200 subpages of [[User:Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|58|width=100%}}<br />
<br />
200 signups for [[User:Piphi/Games|AoPS Wiki Games by Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|38.5|width=100%}}<br />
<br />
Make 10,000 edits<br />
{{User:Piphi/Template:Progress_Bar|17.92|width=100%}}</div><br />
</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Aray10&diff=130922User:Aray102020-08-07T04:03:44Z<p>Rohanqv: /* User Count */</p>
<hr />
<div>ARay10's Page:<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Aray10&diff=130921User:Aray102020-08-07T04:03:37Z<p>Rohanqv: /* Goals */</p>
<hr />
<div>ARay10's Page:<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">6</font></center><br />
</div><br />
<div style="border:2px solid black; background:#cccccc;-webkit-border-radius: 10px; align:center"><br />
<br />
\</div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Aray10&diff=130920User:Aray102020-08-07T04:03:30Z<p>Rohanqv: /* About Me */</p>
<hr />
<div>ARay10's Page:<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">6</font></center><br />
</div><br />
<div style="border:2px solid black; background:#cccccc;-webkit-border-radius: 10px; align:center"><br />
<br />
\<br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px">A User Count of 100<br />
āāāāXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX<br />
(4 ā, 96 X)<br />
</div><br />
</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Piphi&diff=130918User:Piphi2020-08-07T04:02:50Z<p>Rohanqv: /* User Count */</p>
<hr />
<div>{{User:Piphi/Template:Header}}<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">290</font></center><br />
</div><br />
<div style="border:2px solid black; background:#cccccc;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">Piphi is legendary and made the USA IMO team in 2019.<br><br />
<br />
Piphi is the creator of the [[User:Piphi/Games|AoPS Wiki Games by Piphi]], the future of games on AoPS.<br><br />
<br />
Piphi started the signature trend at around May 2020.<br><br />
<br />
Piphi is an extremely OP person - LJCoder619. <br><br />
<br />
Piphi is OP --[[User:Aray10|Aray10]] ([[User talk:Aray10|talk]]) 23:22, 17 June 2020 (EDT) <br><br />
<br />
Piphi has been very close to winning multiple [[Greed Control]] games, piphi placed 5th in game #18 and 2nd in game #19. Thanks to piphi, Greed Control games have started to be kept track of. Piphi made a spreadsheet that has all of Greed Control history [https://artofproblemsolving.com/community/c19451h2126208p15569802 here].<br><br />
<br />
Piphi also found out who won [[Reaper]] games #1 and #2 as seen [https://artofproblemsolving.com/community/c19451h1826745p15526330 here].<br><br />
<br />
Piphi has been called op by many AoPSers, including the legendary [[User:Radio2|Radio2]] himself [https://artofproblemsolving.com/community/c19451h1826745p15526800 here]. (note: Radio2 calls many users op.)<br><br />
<br />
Piphi created the [[AoPS Administrators]] page, added most of the AoPS Admins to it, and created the scrollable table.<br><br />
<br />
Piphi has also added a lot of the info that is in the [[Reaper Archives]].<br><br />
<br />
Piphi has a side-project that is making the Wiki's [[Main Page]] look better, you can check that out [[User:Piphi/AoPS Wiki|here]].<br><br />
<br />
Piphi published Greed Control Game 19 statistics [https://artofproblemsolving.com/community/c19451h2126212 here].<br />
<br />
Piphi has a post that was made an announcement on a official AoPS Forum [https://artofproblemsolving.com/community/c68h2175116 here].<br />
<br />
Piphi is a proud member of [https://artofproblemsolving.com/community/c562043 The Interuniversal GMAAS Society].<br />
</font></div><br />
</div><br />
<div style="border:2px solid black; background:#bbbbbb;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px">A User Count of 330<br />
{{User:Piphi/Template:Progress_Bar|86.67|width=100%}}<br />
<br />
200 subpages of [[User:Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|58|width=100%}}<br />
<br />
200 signups for [[User:Piphi/Games|AoPS Wiki Games by Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|38.5|width=100%}}<br />
<br />
Make 10,000 edits<br />
{{User:Piphi/Template:Progress_Bar|17.92|width=100%}}</div><br />
</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Piphi&diff=130735User:Piphi2020-08-06T05:26:26Z<p>Rohanqv: /* User Count */</p>
<hr />
<div>{{User:Piphi/Template:Header}}<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="red" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">If this is your first time visiting this page, edit it by incrementing the user count after by one.</font></div><br />
<center><font size="101px">22600</font></center><br />
</div><br />
<div style="border:2px solid black; background:#cccccc;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">Piphi is legendary and made the USA IMO team in 2019.<br><br />
<br />
Piphi is the creator of the [[User:Piphi/Games|AoPS Wiki Games by Piphi]], the future of games on AoPS.<br><br />
<br />
Piphi started the signature trend at around May 2020.<br><br />
<br />
Piphi is an extremely OP person - LJCoder619. <br><br />
<br />
Piphi is OP --[[User:Aray10|Aray10]] ([[User talk:Aray10|talk]]) 23:22, 17 June 2020 (EDT) <br><br />
<br />
Piphi has been very close to winning multiple [[Greed Control]] games, piphi placed 5th in game #18 and 2nd in game #19. Thanks to piphi, Greed Control games have started to be kept track of. Piphi made a spreadsheet that has all of Greed Control history [https://artofproblemsolving.com/community/c19451h2126208p15569802 here].<br><br />
<br />
Piphi also found out who won [[Reaper]] games #1 and #2 as seen [https://artofproblemsolving.com/community/c19451h1826745p15526330 here].<br><br />
<br />
Piphi has been called op by many AoPSers, including the legendary [[User:Radio2|Radio2]] himself [https://artofproblemsolving.com/community/c19451h1826745p15526800 here]. (note: Radio2 calls many users op.)<br><br />
<br />
Piphi created the [[AoPS Administrators]] page, added most of the AoPS Admins to it, and created the scrollable table.<br><br />
<br />
Piphi has also added a lot of the info that is in the [[Reaper Archives]].<br><br />
<br />
Piphi has a side-project that is making the Wiki's [[Main Page]] look better, you can check that out [[User:Piphi/AoPS Wiki|here]].<br><br />
<br />
Piphi published Greed Control Game 19 statistics [https://artofproblemsolving.com/community/c19451h2126212 here].<br />
<br />
Piphi has a post that was made an announcement on a official AoPS Forum [https://artofproblemsolving.com/community/c68h2175116 here].<br />
<br />
Piphi is a proud member of [https://artofproblemsolving.com/community/c562043 The Interuniversal GMAAS Society].<br />
</font></div><br />
</div><br />
<div style="border:2px solid black; background:#bbbbbb;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px">A User Count of 330<br />
{{User:Piphi/Template:Progress_Bar|86.67|width=100%}}<br />
<br />
200 subpages of [[User:Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|57.5|width=100%}}<br />
<br />
200 signups for [[User:Piphi/Games|AoPS Wiki Games by Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|37|width=100%}}<br />
<br />
Make 10,000 edits<br />
{{User:Piphi/Template:Progress_Bar|16.45|width=100%}}</div><br />
</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=2014_UNM-PNM_Statewide_High_School_Mathematics_Contest_II_Problems/Problem_10&diff=1305422014 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 102020-08-04T05:22:06Z<p>Rohanqv: /* Solution */</p>
<hr />
<div>== Problem ==<br />
<br />
Given a sheet in the shape of a rhombus whose side is <math>2</math> meters long and one of its angles<br />
is <math>60^{\circ}</math> what is the maximum area that can be cut out of the sheet if we are allowed to cut<br />
two discs.<br />
<br />
== Solution ==<br />
{{YO FACE<br />
<br />
~mls}}<br />
<br />
== See also ==<br />
{{UNM-PNM Math Contest box|year=2014|n=II|num-b=9|after=Last Question}}<br />
<br />
[[Category:Intermediate Geometry Problems]]</div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=2014_UNM-PNM_Statewide_High_School_Mathematics_Contest_II_Problems/Problem_9&diff=1305402014 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 92020-08-04T05:21:33Z<p>Rohanqv: /* Solution */</p>
<hr />
<div>== Problem ==<br />
<br />
Suppose that <math>f</math> is a mapping of the plane into itself such that the vertices of every<br />
equilateral triangle of side one are mapped onto the vertices of a congruent triangle.<br />
Show that the map <math>f</math> is distance preserving, i.e., <math>d(p, q) = d(f(p), f(q))</math> for all points<br />
<math>p</math> and <math>q</math> in the plane, where <math>d(x, y)</math> denotes the distance between the points <math>x</math> and <math>y</math> in<br />
the plane. In other words, if any two points that are one unit apart are mapped to points<br />
that are one unit apart, then any two points are mapped to two points that are the same<br />
distance as their pre-images.<br />
<br />
== Solution ==<br />
{{Solution}}<br />
first, I want to say this. I AM THE ONE DA ONE DA ONE.<br />
<br />
~mls<br />
<br />
== See also ==<br />
{{UNM-PNM Math Contest box|year=2014|n=II|num-b=8|num-a=10}}<br />
<br />
[[Category:Intermediate Geometry Problems]]</div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=2014_UNM-PNM_Statewide_High_School_Mathematics_Contest_II_Problems/Problem_9&diff=1305392014 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 92020-08-04T05:20:14Z<p>Rohanqv: /* Problem */</p>
<hr />
<div>== Problem ==<br />
<br />
Suppose that <math>f</math> is a mapping of the plane into itself such that the vertices of every<br />
equilateral triangle of side one are mapped onto the vertices of a congruent triangle.<br />
Show that the map <math>f</math> is distance preserving, i.e., <math>d(p, q) = d(f(p), f(q))</math> for all points<br />
<math>p</math> and <math>q</math> in the plane, where <math>d(x, y)</math> denotes the distance between the points <math>x</math> and <math>y</math> in<br />
the plane. In other words, if any two points that are one unit apart are mapped to points<br />
that are one unit apart, then any two points are mapped to two points that are the same<br />
distance as their pre-images.<br />
<br />
== Solution ==<br />
{{Solution}}<br />
<br />
== See also ==<br />
{{UNM-PNM Math Contest box|year=2014|n=II|num-b=8|num-a=10}}<br />
<br />
[[Category:Intermediate Geometry Problems]]</div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=2014_UNM-PNM_Statewide_High_School_Mathematics_Contest_II_Problems/Problem_9&diff=1305382014 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 92020-08-04T05:20:00Z<p>Rohanqv: /* Problem */</p>
<hr />
<div>== Problem ==<br />
<br />
Suppose that <math>f</math> is a mapping of the plane into itself such that the vertices of every<br />
equilateral triangle of side one are mapped onto the vertices of a congruent triangle.<br />
Show that the map <math>f</math> is distance preserving, i.e., <math>d(p, q) = d(f(p), f(q))</math> for all points<br />
<math>p</math> and <math>q</math> in the plane, where <math>d(x, y)</math> denotes the distance between the points <math>x</math> and <math>y</math> in<br />
the plane. In other words, if any two points that are one unit apart are mapped to points<br />
that are one unit apart, then any two points are mapped to two points that are the same<br />
distance as their pre-images.<br />
<br />
~mls<br />
<br />
== Solution ==<br />
{{Solution}}<br />
<br />
== See also ==<br />
{{UNM-PNM Math Contest box|year=2014|n=II|num-b=8|num-a=10}}<br />
<br />
[[Category:Intermediate Geometry Problems]]</div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=2014_UNM-PNM_Statewide_High_School_Mathematics_Contest_II_Problems/Problem_8&diff=1305372014 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 82020-08-04T05:19:43Z<p>Rohanqv: /* Solution */</p>
<hr />
<div>== Problem ==<br />
<br />
A certain country uses bills of denominations equivalent to <math>\textdollar{15}</math> and <math>\textdollar{44}</math>. The ATM<br />
machines in this country can give at a single withdrawer any amount you request as long<br />
as both bills are used. Show that you can withdraw <math>\textdollar{x}</math> if and only if you cannot withdraw<br />
<math>\textdollar{y}</math>, where x + y = <math>\textdollar{719}</math>.<br />
<br />
<br />
== Solution ==<br />
As an example, consider the amount <math>15 * 44 = 660</math>. This is an amount that actually cannot be<br />
withdrawn. Otherwise, <math>15*44=15m+44n</math> for some positive integers m and n which is a contradiction since then<br />
<math>15|44n</math> (i.e., 15 divides 44n) and <math>44|15m</math> hence <math>15|n</math> and <math>44|m</math>, hence <math>15m+ 44n > 15 * 44</math>. On the other hand, the<br />
smallest amount we can withdraw is <math>15+44=59</math>. Notice that, <math>59 + 660 = 719</math> so the claim is true in this particular<br />
case.<br />
In the next step, we show that any amount larger than <math>660</math> can be withdrawn. For this, we use that <math>15</math>, <math>15 * 2</math>,<br />
<math>15 * 3,..., 15 * 44</math> is a complete set of residues mod 44. Indeed, clearly 44 cannot divide the difference of any<br />
two of them hence the remainders of the numbers <math>15m, m = 1, 2, . . . , 44</math> when divided by 44 are different. On<br />
the other hand we have exactly 44 numbers so every remainder appears exactly once. Therefore, for any integer<br />
<math>x > 15 * 44 = 660</math> we can find an integer m, <math>1 \le m \le 44</math> such that <math>44|15m</math>. This shows that x can be written as<br />
<math>x = 15m + 44n</math> for some positive integers m and n.<br />
We are left with case <math>59 < x < 660</math>. Suppose <math>x = 15m + 44n</math> and <math>y = 719 - x = 15a + 44b</math> for some positive<br />
integers m, n, a and b. Then we have <math>15(a+ m) + 44(b+n) = 719</math> or <math>15(a+ m-1) + 44(b+n-1) = 660</math> which is a<br />
contradiction with the fact that 660 cannot be written as a linear combination of 15 and 44 with positive integers<br />
(660 cannot be withdrawn).<br />
<br />
~mls<br />
<br />
== See also ==<br />
{{UNM-PNM Math Contest box|year=2014|n=II|num-b=7|num-a=9}}<br />
<br />
[[Category:Intermediate Algebra Problems]]</div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=2014_UNM-PNM_Statewide_High_School_Mathematics_Contest_II_Problems/Problem_2&diff=1305312014 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 22020-08-04T05:15:29Z<p>Rohanqv: /* Problem */</p>
<hr />
<div>== Problem ==<br />
<br />
<br />
If <math>f(x) = x^78 + 6x^2 + 100x + 12</math>, solve the equation <math>f(f(f(x))) = 0.</math><br />
<br />
== See also ==<br />
{{UNM-PNM Math Contest box|year=2014|n=II|num-b=1|num-a=3}}<br />
<br />
[[Category:Introductory Algebra Problems]]</div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=2014_UNM-PNM_Statewide_High_School_Mathematics_Contest_II_Problems/Problem_2&diff=1305302014 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 22020-08-04T05:15:12Z<p>Rohanqv: /* Solution 2 */</p>
<hr />
<div>== Problem ==<br />
<br />
<br />
If <math>f(x) = x^3 + 6x^2 + 12x + 6</math>, solve the equation <math>f(f(f(x))) = 0.</math><br />
<br />
== See also ==<br />
{{UNM-PNM Math Contest box|year=2014|n=II|num-b=1|num-a=3}}<br />
<br />
[[Category:Introductory Algebra Problems]]</div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=2014_UNM-PNM_Statewide_High_School_Mathematics_Contest_II_Problems/Problem_2&diff=1305292014 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 22020-08-04T05:15:04Z<p>Rohanqv: /* Solution */</p>
<hr />
<div>== Problem ==<br />
<br />
<br />
If <math>f(x) = x^3 + 6x^2 + 12x + 6</math>, solve the equation <math>f(f(f(x))) = 0.</math><br />
<br />
==Solution 2==<br />
Note that <math>f(x)=(x+2)^3-2</math>. Thus, <math>f^{n}(x)=(x+2)^{3n}-2</math>. In the question, <math>n=3</math>, so we have <math>(x+2)^{27}-2=0</math>. Solving, <math>\boxed{x=-2+\sqrt[27]{2}}</math><br />
<br />
~yofro<br />
<br />
== See also ==<br />
{{UNM-PNM Math Contest box|year=2014|n=II|num-b=1|num-a=3}}<br />
<br />
[[Category:Introductory Algebra Problems]]</div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:CreativeHedgehog&diff=129922User:CreativeHedgehog2020-07-31T03:25:46Z<p>Rohanqv: /* Viewer Count */</p>
<hr />
<div>= <div style='color:#1b365d; font-weight:bold; display:block;'>CreativeHedgehog:Talk</div> =<br />
<br />
{{User:CreativeHedgehog/Templates/Navbar|20px}}<br />
<br />
<div style="background-color: white;<br />
border-top: 10px solid #1b365d;<br />
padding: 10px;<br />
margin-bottom: 10px; display:block;<br />
box-shadow:2px 2px 5px 5px #1b3650;"><br />
== <div style="color:#1b365d; display:block; font-weight:bold;">Contributions/About Me</div> ==<br />
----<br />
<div style='display:block; background-color:#ffdddd; padding:15px; border-left:pink 10px solid;'><br />
[https://artofproblemsolving.com/wiki/index.php?title=User:CreativeHedgehog CreativeHedgehog] is not as legendary as Piphi, but [https://artofproblemsolving.com/wiki/index.php?title=User:CreativeHedgehog CreativeHedgehog]'s CSS is.<br />
<br />
[https://artofproblemsolving.com/wiki/index.php?title=User:CreativeHedgehog CreativeHedgehog] has been making loads of projects, one of which is remaking the style of a wiki page.<br />
<br />
[https://artofproblemsolving.com/wiki/index.php?title=User:CreativeHedgehog CreativeHedgehog] has been improving Piphi's Chess Game, and is working hard on Do Show Qi.<br />
<br />
<div style="float:left;"><br />
<div style="background-color:white;"><br />
{{User:CreativeHedgehog/Templates/AoPS_Duotone/Style_4|#1b3650|z|#61ad00}}<br />
<div style="text-align:center;">[https://artofproblemsolving.com/wiki/index.php?title=User:CreativeHedgehog CreativeHedgehog] is awesome.<br />
</div><br />
<div style="float:right;">{{User:CreativeHedgehog/Templates/AoPS_Duotone/Style_4|#1b3650|K|#61ad00}}</div><br />
<br />
</div><br />
</div><br />
<div style="clear:both; display:table;"></div><br />
<div style="margin-bottom:20px;"></div><br />
-Wood2009<br />
<br />
</div><br />
----<br />
<br />
== <div style="color:#1b365d; display:block; font-weight:bold; clear:both;">Announcements</div> ==<br />
----<br />
----<br />
<div style="padding-left:16px; padding-right:16px; border:15px #1b3650 double; background-color:white; padding-top:10px; padding-bottom:10px; max-height:300px; overflow:auto; display:block; width:100%;"><br />
----<br />
Put ?&action=edit at the end to edit this page. [[User:Creativehedgehog|CreativeHedgehog]] ([[User talk:Creativehedgehog|talk]]) 22:51, 18 June 2020 (EDT)<br />
----<br />
I am starting [[User:CreativeHedgehog/Projects]], where I test-upload files and games. [[User:Creativehedgehog|CreativeHedgehog]] ([[User talk:Creativehedgehog|talk]]) 18:18, 21 June 2020 (EDT)<br />
----<br />
</div><br />
</div><br />
== <div style="color:#61ad00; display:block; font-weight:bold;">Viewer Count</div> ==<br />
----<br />
<div style="padding-left:16px; padding-right:16px; border:15px #1b3650 dashed; background-color:white; padding-top:10px; padding-bottom:10px; max-height:300px; overflow:auto; display:block; width:100%;"><br />
<br />
Every time you view this page, increase the following number by 1:<br />
<br />
<div style="font-size:10em; text-align:center;">1079</div><br />
<br />
</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=P%C3%B3lya_Enumeration_Theorem&diff=129876PĆ³lya Enumeration Theorem2020-07-30T22:02:57Z<p>Rohanqv: FUCK</p>
<hr />
<div>IJIJM</div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Piphi&diff=128974User:Piphi2020-07-23T19:42:45Z<p>Rohanqv: /* About Me */</p>
<hr />
<div>{{User:Piphi/Template:Header}}<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">102</font></center><br />
</div><br />
<div style="border:2px solid black; background:#cccccc;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">Piphi is legendary and made the USA IMO team in 2019.<br><br />
<br />
Piphi is the creator of the [[User:Piphi/Games|AoPS Wiki Games by Piphi]], the future of games on AoPS.<br><br />
<br />
Piphi started the signature trend at around May 2020.<br><br />
<br />
Piphi is an extremely OP person - LJCoder619. <br><br />
<br />
Piphi is OP --[[User:Aray10|Aray10]] ([[User talk:Aray10|talk]]) 23:22, 17 June 2020 (EDT) <br><br />
<br />
Piphi has been very close to winning multiple [[Greed Control]] games, piphi placed 5th in game #18 and 2nd in game #19. Thanks to piphi, Greed Control games have started to be kept track of. Piphi made a spreadsheet that has all of Greed Control history [https://artofproblemsolving.com/community/c19451h2126208p15569802 here].<br><br />
<br />
Piphi also found out who won [[Reaper]] games #1 and #2 as seen [https://artofproblemsolving.com/community/c19451h1826745p15526330 here].<br><br />
<br />
Piphi has been called op by many AoPSers, including the legendary [[User:Radio2|Radio2]] himself [https://artofproblemsolving.com/community/c19451h1826745p15526800 here]. (note: Radio2 calls many users op.)<br><br />
<br />
Piphi created the [[AoPS Administrators]] page, added most of the AoPS Admins to it, and created the scrollable table.<br><br />
<br />
Piphi has also added a lot of the info that is in the [[Reaper Archives]].<br><br />
<br />
Piphi has a side-project that is making the Wiki's [[Main Page]] look better, you can check that out [[User:Piphi/AoPS Wiki|here]].<br><br />
<br />
Piphi published Greed Control Game 19 statistics [https://artofproblemsolving.com/community/c19451h2126212 here].<br />
<br />
Piphi has a post that was made an announcement on a official AoPS Forum [https://artofproblemsolving.com/community/c68h2175116 here].<br />
<br />
Piphi is a proud member of [https://artofproblemsolving.com/community/c562043 The Interuniversal GMAAS Society].<br />
<br />
Piphi eats poop<br />
</font></div><br />
</div><br />
<div style="border:2px solid black; background:#bbbbbb;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px">A User Count of 330<br />
{{User:Piphi/Template:Progress_Bar|74.85|width=100%}}<br />
<br />
200 subpages of [[User:Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|51.5|width=100%}}<br />
<br />
200 signups for [[User:Piphi/Games|AoPS Wiki Games by Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|30.5|width=100%}}<br />
<br />
Make 10,000 edits<br />
{{User:Piphi/Template:Progress_Bar|15.14|width=100%}}</div><br />
</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Piphi&diff=128972User:Piphi2020-07-23T19:42:13Z<p>Rohanqv: /* User Count */</p>
<hr />
<div>{{User:Piphi/Template:Header}}<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">102</font></center><br />
</div><br />
<div style="border:2px solid black; background:#cccccc;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">Piphi is legendary and made the USA IMO team in 2019.<br><br />
<br />
Piphi is the creator of the [[User:Piphi/Games|AoPS Wiki Games by Piphi]], the future of games on AoPS.<br><br />
<br />
Piphi started the signature trend at around May 2020.<br><br />
<br />
Piphi is an extremely OP person - LJCoder619. <br><br />
<br />
Piphi is OP --[[User:Aray10|Aray10]] ([[User talk:Aray10|talk]]) 23:22, 17 June 2020 (EDT) <br><br />
<br />
Piphi has been very close to winning multiple [[Greed Control]] games, piphi placed 5th in game #18 and 2nd in game #19. Thanks to piphi, Greed Control games have started to be kept track of. Piphi made a spreadsheet that has all of Greed Control history [https://artofproblemsolving.com/community/c19451h2126208p15569802 here].<br><br />
<br />
Piphi also found out who won [[Reaper]] games #1 and #2 as seen [https://artofproblemsolving.com/community/c19451h1826745p15526330 here].<br><br />
<br />
Piphi has been called op by many AoPSers, including the legendary [[User:Radio2|Radio2]] himself [https://artofproblemsolving.com/community/c19451h1826745p15526800 here]. (note: Radio2 calls many users op.)<br><br />
<br />
Piphi created the [[AoPS Administrators]] page, added most of the AoPS Admins to it, and created the scrollable table.<br><br />
<br />
Piphi has also added a lot of the info that is in the [[Reaper Archives]].<br><br />
<br />
Piphi has a side-project that is making the Wiki's [[Main Page]] look better, you can check that out [[User:Piphi/AoPS Wiki|here]].<br><br />
<br />
Piphi published Greed Control Game 19 statistics [https://artofproblemsolving.com/community/c19451h2126212 here].<br />
<br />
Piphi has a post that was made an announcement on a official AoPS Forum [https://artofproblemsolving.com/community/c68h2175116 here].<br />
<br />
Piphi is a proud member of [https://artofproblemsolving.com/community/c562043 The Interuniversal GMAAS Society].<br />
</font></div><br />
</div><br />
<div style="border:2px solid black; background:#bbbbbb;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px">A User Count of 330<br />
{{User:Piphi/Template:Progress_Bar|74.85|width=100%}}<br />
<br />
200 subpages of [[User:Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|51.5|width=100%}}<br />
<br />
200 signups for [[User:Piphi/Games|AoPS Wiki Games by Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|30.5|width=100%}}<br />
<br />
Make 10,000 edits<br />
{{User:Piphi/Template:Progress_Bar|15.14|width=100%}}</div><br />
</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Piphi&diff=128907User:Piphi2020-07-22T22:16:45Z<p>Rohanqv: /* User Count */</p>
<hr />
<div>{{User:Piphi/Template:Header}}<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">100000000000000000000000000000000000000000000<br />
</font></center><br />
</div><br />
<div style="border:2px solid black; background:#cccccc;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">Piphi is legendary and made the USA IMO team in 2019.<br><br />
<br />
Piphi is the creator of the [[User:Piphi/Games|AoPS Wiki Games by Piphi]], the future of games on AoPS.<br><br />
<br />
Piphi started the signature trend at around May 2020.<br><br />
<br />
Piphi is an extremely OP person - LJCoder619. <br><br />
<br />
Piphi is OP --[[User:Aray10|Aray10]] ([[User talk:Aray10|talk]]) 23:22, 17 June 2020 (EDT) <br><br />
<br />
Piphi has been very close to winning multiple [[Greed Control]] games, piphi placed 5th in game #18 and 2nd in game #19. Thanks to piphi, Greed Control games have started to be kept track of. Piphi made a spreadsheet that has all of Greed Control history [https://artofproblemsolving.com/community/c19451h2126208p15569802 here].<br><br />
<br />
Piphi also found out who won [[Reaper]] games #1 and #2 as seen [https://artofproblemsolving.com/community/c19451h1826745p15526330 here].<br><br />
<br />
Piphi has been called op by many AoPSers, including the legendary [[User:Radio2|Radio2]] himself [https://artofproblemsolving.com/community/c19451h1826745p15526800 here]. (note: Radio2 calls many users op.)<br><br />
<br />
Piphi created the [[AoPS Administrators]] page, added most of the AoPS Admins to it, and created the scrollable table.<br><br />
<br />
Piphi has also added a lot of the info that is in the [[Reaper Archives]].<br><br />
<br />
Piphi has a side-project that is making the Wiki's [[Main Page]] look better, you can check that out [[User:Piphi/AoPS Wiki|here]].<br><br />
<br />
Piphi published Greed Control Game 19 statistics [https://artofproblemsolving.com/community/c19451h2126212 here].<br />
<br />
Piphi has a post that was made an announcement on a official AoPS Forum [https://artofproblemsolving.com/community/c68h2175116 here].<br />
<br />
Piphi is a proud member of [https://artofproblemsolving.com/community/c562043 The Interuniversal GMAAS Society].<br />
</font></div><br />
</div><br />
<div style="border:2px solid black; background:#bbbbbb;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px">A User Count of 330<br />
{{User:Piphi/Template:Progress_Bar|74.85|width=100%}}<br />
<br />
200 subpages of [[User:Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|51.5|width=100%}}<br />
<br />
200 signups for [[User:Piphi/Games|AoPS Wiki Games by Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|30.5|width=100%}}<br />
<br />
Make 10,000 edits<br />
{{User:Piphi/Template:Progress_Bar|15.14|width=100%}}</div><br />
</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Piphi&diff=128435User:Piphi2020-07-17T04:22:39Z<p>Rohanqv: /* User Count */</p>
<hr />
<div>{{User:Piphi/Template:Header}}<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000</font></center><br />
</div><br />
<div style="border:2px solid black; background:#cccccc;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">Piphi is legendary and made the USA IMO team in 2019.<br><br />
<br />
Piphi is the creator of the [[User:Piphi/Games|AoPS Wiki Games by Piphi]], the future of games on AoPS.<br><br />
<br />
Piphi started the signature trend at around May 2020.<br><br />
<br />
Piphi is an extremely OP person - LJCoder619. <br><br />
<br />
Piphi is OP --[[User:Aray10|Aray10]] ([[User talk:Aray10|talk]]) 23:22, 17 June 2020 (EDT) <br><br />
<br />
Piphi has been very close to winning multiple [[Greed Control]] games, piphi placed 5th in game #18 and 2nd in game #19. Thanks to piphi, Greed Control games have started to be kept track of. Piphi made a spreadsheet that has all of Greed Control history [https://artofproblemsolving.com/community/c19451h2126208p15569802 here].<br><br />
<br />
Piphi also found out who won [[Reaper]] games #1 and #2 as seen [https://artofproblemsolving.com/community/c19451h1826745p15526330 here].<br><br />
<br />
Piphi has been called op by many AoPSers, including the legendary [[User:Radio2|Radio2]] himself [https://artofproblemsolving.com/community/c19451h1826745p15526800 here].<br><br />
<br />
Piphi created the [[AoPS Administrators]] page, added most of the AoPS Admins to it, and created the scrollable table.<br><br />
<br />
Piphi has also added a lot of the info that is in the [[Reaper Archives]].<br><br />
<br />
Piphi has a side-project that is making the Wiki's [[Main Page]] look better, you can check that out [[User:Piphi/AoPS Wiki|here]].<br><br />
<br />
Piphi published Greed Control Game 19 statistics [https://artofproblemsolving.com/community/c19451h2126212 here].<br />
<br />
Piphi has a post that was made an announcement on a official AoPS Forum [https://artofproblemsolving.com/community/c68h2175116 here].<br />
</font></div><br />
</div><br />
<div style="border:2px solid black; background:#bbbbbb;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px">A User Count of 330<br />
{{User:Piphi/Template:Progress_Bar|71.82|width=100%}}<br />
<br />
200 subpages of [[User:Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|41.5|width=100%}}<br />
<br />
200 signups for [[User:Piphi/Games|AoPS Wiki Games by Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|25.5|width=100%}}<br />
<br />
Make 10,000 edits<br />
{{User:Piphi/Template:Progress_Bar|14.39|width=100%}}</div><br />
</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=User:Piphi&diff=128360User:Piphi2020-07-15T22:02:38Z<p>Rohanqv: /* User Count */</p>
<hr />
<div>{{User:Piphi/Template:Header}}<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">idiot</font></center><br />
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==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">Piphi is legendary and made the USA IMO team in 2019.<br><br />
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Piphi is the creator of the [[User:Piphi/Games|AoPS Wiki Games by Piphi]], the future of games on AoPS.<br><br />
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Piphi started the signature trend at around May 2020.<br><br />
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Piphi is an extremely OP person - LJCoder619. <br><br />
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Piphi is OP --[[User:Aray10|Aray10]] ([[User talk:Aray10|talk]]) 23:22, 17 June 2020 (EDT) <br><br />
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Piphi has been very close to winning multiple [[Greed Control]] games, piphi placed 5th in game #18 and 2nd in game #19. Thanks to piphi, Greed Control games have started to be kept track of. Piphi made a spreadsheet that has all of Greed Control history [https://artofproblemsolving.com/community/c19451h2126208p15569802 here].<br><br />
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Piphi also found out who won [[Reaper]] games #1 and #2 as seen [https://artofproblemsolving.com/community/c19451h1826745p15526330 here].<br><br />
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Piphi has been called op by many AoPSers, including the legendary [[User:Radio2|Radio2]] himself [https://artofproblemsolving.com/community/c19451h1826745p15526800 here].<br><br />
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Piphi created the [[AoPS Administrators]] page, added most of the AoPS Admins to it, and created the scrollable table.<br><br />
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Piphi has also added a lot of the info that is in the [[Reaper Archives]].<br><br />
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Piphi has a side-project that is making the Wiki's [[Main Page]] look better, you can check that out [[User:Piphi/AoPS Wiki|here]].<br><br />
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Piphi published Greed Control Game 19 statistics [https://artofproblemsolving.com/community/c19451h2126212 here].<br />
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Piphi has a post that was made an announcement on a official AoPS Forum [https://artofproblemsolving.com/community/c68h2175116 here].<br />
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==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px">A User Count of 330<br />
{{User:Piphi/Template:Progress_Bar|70.61|width=100%}}<br />
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200 subpages of [[User:Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|41.5|width=100%}}<br />
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200 signups for [[User:Piphi/Games|AoPS Wiki Games by Piphi]]<br />
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Make 10,000 edits<br />
{{User:Piphi/Template:Progress_Bar|14.25|width=100%}}</div><br />
</div></div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=2006_AMC_10A_Problems/Problem_8&diff=1274482006 AMC 10A Problems/Problem 82020-07-04T16:42:09Z<p>Rohanqv: /* Solution 4 */</p>
<hr />
<div>== Problem ==<br />
A [[parabola]] with equation <math>y=x^2+bx+c</math> passes through the points <math> (2,3) </math> and <math> (4,3) </math>. What is <math>c</math>?<br />
<br />
<math> \mathrm{(A) \ } 2\qquad \mathrm{(B) \ } 5\qquad \mathrm{(C) \ } 7\qquad \mathrm{(D) \ } 10\qquad \mathrm{(E) \ } 11 </math><br />
<br />
== Solution ==<br />
<br />
=== Solution 1 ===<br />
Substitute the points <math> (2,3) </math> and <math> (4,3) </math> into the given equation for <math> (x,y) </math>.<br />
<br />
Then we get a system of two equations:<br />
<br />
<math>3=4+2b+c</math><br />
<br />
<math>3=16+4b+c</math><br />
<br />
Subtracting the first equation from the second we have:<br />
<br />
<math>0=12+2b</math><br />
<br />
<math>b=-6</math><br />
<br />
Then using <math>b=-6</math> in the first equation:<br />
<br />
<math>0=1+-12+c</math><br />
<br />
<math>c=11 \Longrightarrow \mathrm{(E)}</math> is the answer.<br />
<br />
=== Solution 2 ===<br />
<br />
Alternatively, notice that since the equation is that of a conic parabola, the vertex is likely <math>(3,2)</math>. Thus, the form of the equation of the parabola is <math>y - 2 = (x - 3)^2</math>. Expanding this out, we find that <math>c = 11</math>.<br />
<br />
=== Solution 3 ===<br />
<br />
The points given have the same <math>y</math>-value, so the vertex lies on the line <math>x=\frac{2+4}{2}=3</math>.<br />
<br />
The <math>x</math>-coordinate of the vertex is also equal to <math>\frac{-b}{2a}</math>, so set this equal to <math>3</math> and solve for <math>b</math>, given that <math>a=1</math>:<br />
<br />
<math>x=\frac{-b}{2a}</math><br />
<br />
<math>3=\frac{-b}{2}</math><br />
<br />
<math>6=-b</math><br />
<br />
<math>b=-6</math><br />
<br />
Now the equation is of the form <math>y=x^2-6x+c</math>. Now plug in the point <math>(2,3)</math> and solve for <math>c</math>:<br />
<br />
<math>y=x^2-6x+c</math><br />
<br />
<math>3=2^2-6(2)+c</math><br />
<br />
<math>3=4-12+c</math><br />
<br />
<math>3=-8+c</math><br />
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<math>\boxed{ \text{(E) }c=11}</math><br />
<br />
=== Solution 4 ===<br />
Substituting y into the two equations, we get:<br />
<br />
<math>3=x^2+bx+c</math><br />
<br />
Which can be written as:<br />
<br />
<math>x^2+bx+c-3=0</math><br />
<br />
4, 2, are solutions to the quadratic. Thus:<br />
<br />
<math>c-3=4\times2</math><br />
<br />
<math>c-3=8</math><br />
<br />
<math>c=11</math><br />
<br />
== See also ==<br />
{{AMC10 box|year=2006|ab=A|num-b=7|num-a=9}}<br />
<br />
[[Category:Introductory Algebra Problems]]<br />
{{MAA Notice}}</div>Rohanqvhttps://artofproblemsolving.com/wiki/index.php?title=2006_AMC_10A_Problems/Problem_8&diff=1274472006 AMC 10A Problems/Problem 82020-07-04T16:41:46Z<p>Rohanqv: /* Solution 4 */</p>
<hr />
<div>== Problem ==<br />
A [[parabola]] with equation <math>y=x^2+bx+c</math> passes through the points <math> (2,3) </math> and <math> (4,3) </math>. What is <math>c</math>?<br />
<br />
<math> \mathrm{(A) \ } 2\qquad \mathrm{(B) \ } 5\qquad \mathrm{(C) \ } 7\qquad \mathrm{(D) \ } 10\qquad \mathrm{(E) \ } 11 </math><br />
<br />
== Solution ==<br />
<br />
=== Solution 1 ===<br />
Substitute the points <math> (2,3) </math> and <math> (4,3) </math> into the given equation for <math> (x,y) </math>.<br />
<br />
Then we get a system of two equations:<br />
<br />
<math>3=4+2b+c</math><br />
<br />
<math>3=16+4b+c</math><br />
<br />
Subtracting the first equation from the second we have:<br />
<br />
<math>0=12+2b</math><br />
<br />
<math>b=-6</math><br />
<br />
Then using <math>b=-6</math> in the first equation:<br />
<br />
<math>0=1+-12+c</math><br />
<br />
<math>c=11 \Longrightarrow \mathrm{(E)}</math> is the answer.<br />
<br />
=== Solution 2 ===<br />
<br />
Alternatively, notice that since the equation is that of a conic parabola, the vertex is likely <math>(3,2)</math>. Thus, the form of the equation of the parabola is <math>y - 2 = (x - 3)^2</math>. Expanding this out, we find that <math>c = 11</math>.<br />
<br />
=== Solution 3 ===<br />
<br />
The points given have the same <math>y</math>-value, so the vertex lies on the line <math>x=\frac{2+4}{2}=3</math>.<br />
<br />
The <math>x</math>-coordinate of the vertex is also equal to <math>\frac{-b}{2a}</math>, so set this equal to <math>3</math> and solve for <math>b</math>, given that <math>a=1</math>:<br />
<br />
<math>x=\frac{-b}{2a}</math><br />
<br />
<math>3=\frac{-b}{2}</math><br />
<br />
<math>6=-b</math><br />
<br />
<math>b=-6</math><br />
<br />
Now the equation is of the form <math>y=x^2-6x+c</math>. Now plug in the point <math>(2,3)</math> and solve for <math>c</math>:<br />
<br />
<math>y=x^2-6x+c</math><br />
<br />
<math>3=2^2-6(2)+c</math><br />
<br />
<math>3=4-12+c</math><br />
<br />
<math>3=-8+c</math><br />
<br />
<math>\boxed{ \text{(E) }c=11}</math><br />
<br />
=== Solution 4 ===<br />
Substituting y into the two equations, we get:<br />
<br />
<math>3=x^2+bx+c</math><br />
<br />
Which can be written as:<br />
<br />
<math>x^2+bx+c-3=0</math><br />
<br />
4, 2, arelutions to the quadratic. Thus:<br />
<br />
<math>c-3=4\times2</math><br />
<br />
<math>c-3=8</math><br />
<br />
<math>c=11</math><br />
<br />
<br />
YO FACE<br />
<br />
== See also ==<br />
{{AMC10 box|year=2006|ab=A|num-b=7|num-a=9}}<br />
<br />
[[Category:Introductory Algebra Problems]]<br />
{{MAA Notice}}</div>Rohanqv