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The Guide of drawing up Filed 2 11 13 P Online
If you take an interest in Modify and create a Filed 2 11 13 P, here are the simple steps you need to follow:
- Hit the "Get Form" Button on this page.
- Wait in a petient way for the upload of your Filed 2 11 13 P.
- You can erase, text, sign or highlight as what you want.
- Click "Download" to keep the files.
A Revolutionary Tool to Edit and Create Filed 2 11 13 P
How to Easily Edit Filed 2 11 13 P Online
CocoDoc has made it easier for people to Modify their important documents by online website. They can easily Edit through their choices. To know the process of editing PDF document or application across the online platform, you need to follow this stey-by-step guide:
- Open the website of CocoDoc on their device's browser.
- Hit "Edit PDF Online" button and Upload the PDF file from the device without even logging in through an account.
- Edit the PDF online by using this toolbar.
- Once done, they can save the document from the platform.
Once the document is edited using the online platform, you can download the document easily according to your ideas. CocoDoc provides a highly secure network environment for implementing the PDF documents.
How to Edit and Download Filed 2 11 13 P on Windows
Windows users are very common throughout the world. They have met a lot of applications that have offered them services in managing PDF documents. However, they have always missed an important feature within these applications. CocoDoc aims at provide Windows users the ultimate experience of editing their documents across their online interface.
The procedure of modifying a PDF document with CocoDoc is easy. You need to follow these steps.
- Select and Install CocoDoc from your Windows Store.
- Open the software to Select the PDF file from your Windows device and continue editing the document.
- Modify the PDF file with the appropriate toolkit showed at CocoDoc.
- Over completion, Hit "Download" to conserve the changes.
A Guide of Editing Filed 2 11 13 P on Mac
CocoDoc has brought an impressive solution for people who own a Mac. It has allowed them to have their documents edited quickly. Mac users can create fillable PDF forms with the help of the online platform provided by CocoDoc.
For understanding the process of editing document with CocoDoc, you should look across the steps presented as follows:
- Install CocoDoc on you Mac to get started.
- Once the tool is opened, the user can upload their PDF file from the Mac in seconds.
- Drag and Drop the file, or choose file by mouse-clicking "Choose File" button and start editing.
- save the file on your device.
Mac users can export their resulting files in various ways. Downloading across devices and adding to cloud storage are all allowed, and they can even share with others through email. They are provided with the opportunity of editting file through different ways without downloading any tool within their device.
A Guide of Editing Filed 2 11 13 P on G Suite
Google Workplace is a powerful platform that has connected officials of a single workplace in a unique manner. While allowing users to share file across the platform, they are interconnected in covering all major tasks that can be carried out within a physical workplace.
follow the steps to eidt Filed 2 11 13 P on G Suite
- move toward Google Workspace Marketplace and Install CocoDoc add-on.
- Upload the file and Push "Open with" in Google Drive.
- Moving forward to edit the document with the CocoDoc present in the PDF editing window.
- When the file is edited at last, save it through the platform.
PDF Editor FAQ
Expert programmers, if I were to give you the code to some random program without telling you the name of said program, how long would it take you to figure out what the program does without actually executing the code?
It depends, just have look at this beauty[1] : /* <body bgcolor = 0 > <img src= cube.gif><!-- */ #define _ ] [ /* ; ; ; ; */ #include <string.h> /* ; ; */ #include <stdio.h> /* ; ; ; */ #define K(o,O) L o=0; o<O ; o++) #define H unsigned long long #define /* ; ; ; ; ; ; } */ W ]= #define /* ; ; ; ; ; ; */ L for( #define /* ; ; ; ; ; ; */ J if ( #include <stdlib.h> /*; ; ; ; */ #define Z (j*3+j/9*3+2)%10+j/9*9 int s[ ] = { 186, 94, 1426, 3098 ,1047 , 122 , 1082 , 3083 , 1039 , 569 , 527 , 1054 , 531 } ; #define P( o , O ,l) K(C,o)\ fputc ( ( O )[ C ] -l, G); #define Y strncpy( /* */ int j,k,l,v,c,C,O[64],n[ 64],*o,q[13 _ 13],u,d,f,g[ W{ 8,7,6,6,6,6 } ; H p [13 _ #define M memset(E[c]+j*298+v\ *a+88-u*5+586*( u*5+152-i/16*a+C 13 _ 432],r,w,t,b,S[13]; FILE*G; char E[13 _ 168840],*A="||||||", *D=" { ; wb; aa; aaaa}a \ 0z00Zzz} { z0z} ",Q[64 _ 60 ],*F ="+ +",T [43]; int main( int I,char**V){ int i,h,B,a,m; H #define R(z){ x=h=0; K(j,27)h|=\ (c>> j&1 )<<z ; ; ; } c=h; ; ; ; x; J I>1)B=C=atoi(V[1]); J !d)K( v,13){ h=s[v]; J B<0){ k=h>>18 ^h&511; h^= k<<18|k; C=-C; } K(k,7){ J k==4)R(Z)R(j+(j- " /@"[j/9]+38)/3*6-6)K(l ,4){ R(Z)K(a,9) x|=((H)c >>a*3&7)<<a*4 +a/3*4; K(a, 96){ m=a-37; r=m<0?x>>-m:x<< m; J!(x!=(m<0?r<<-m:r>>m)||r&r /2&0x888888888888888ULL||r&r>>4& 0xF000F000F000ULL)){ p[0 _ v _ q [v _ 0]++W r; K(j,q[v _ 0]-1)J p [0 _ v _ j]==r)q[v _ 0]--; } } } } } h=d; x=w; m=q[f _ h]; a=f; u |=1<<a; B=u; K(i,m){ w|=S[a W p[ d _ a _ i]; r: d++; v=*s; t=w; L j=1; j<13; j++){ J u>>j&1^1){ b= c=k=0; l=q[j _ h]; L; k<l; k++){ r=p[h _ j _ k]; J!(w&r))b|=p[d _ j _ c++W r; } J!c) goto n; J c ==1){ w|=S[j W b; u|=1<<j; J d==12){ J--C<1){ K(c,64)O[ c W-1; x=0; K(c,13){ r=~ 0; K(j,13)J S[j]<r&&S[j] >x)r=S[j]; K(i,64){ n[i W- 1; memset(Q[i],32,59); } K(i ,64){ J r>>i&1)O[i W n[i W c ; K(j,2){ o=j?O:n; k=o[i]; u=i&d ; v=i&3; a=48; J k+1){ C=k==c; Y T ,"+----+/ /|+----+ || | +\ | |/+----+",43); J!C&&v&&o[i- 1]==k)T[6 W T[21 W T[29 W 32 ; J u&&o[i-4]==k){ Y T,C?"//////":F, 6); J v==3||o[i-3]<0)T[d W T [20 W C?47:32; } J i&a&&o[i-16]==k){ J u==d||o[i-d]<0)Y T+36,C?A:F,6) ; J!C)J v==3|| o[i-15]<0) T[35 W 32; } J C){ Y T+7,"////",4); T [19 W T[27 W 47; Y T+22,A,4) ; Y T+30,A,4); } K(C,6)Y Q [9-i/16*3+u/2+C]+v*5-u/2 +j*30+g[C],T+"06=EMT"[C] -a,20-g[C]-g[5-C]); K(C,a) { M)+28,m=k+33,h=20); M+h)-h ,k+49+u/4*16,a); } K(C,h){ M)- C,k+17,a); M)+a-C,m,C); M+a)+28, m,h-C); } } } } K(i,21)puts(Q[i] ); x=r; } G=fopen("cube.gif", D+ 11); P(13,"qspbc\213t,J+ **",42) K(i,8)P(a,D,h+" H Zbjm "[i]+C)P( 19,"F$0sjyxhfujWSU(&%%%",37)K(i, 13){ P(19,"K#.3 ***V****t,J+*1", 42)K(j,1340){ P(2," !",161)P(126 ,E[i]+j*126,0)}P(3+i/d,"!\241 [" ,32 ) } exit(0); } goto n; }else goto r; } J c<v) { f=j; v=c; } q[j _ d W c; t|=b; } } J!~t) main(0,0); n:u=B; w=x; d=h ; } u^=1<<a ; } /*--> */ Footnotes[1] https://www.ioccc.org/2006/sykes1/sykes1.c
What are some great Excel power user hacks and tips?
One metric you can use to assess if you are a power user or not is to analyze your dependability on the mouse/touchpad.If you can get all your work done on an excel spreadsheet using solely the keyboard, you have now learned most of what there is.There are some basic shortcuts one must be aware of:NavigationThe arrow keys (← ↑ → ↓): Navigating one cell at a timeCtrl + Arrow keys: Navigating to the next non-blank cell (skipping all intermediate blanks)Ctrl + Home / End : Navigating to the first and the last used cell (this could either be a cell with data in it, or a blank cell where there used to be data)Ctrl + PgUp/PgDwn: Navigating between multiple worksheetsCtrl + Tab: Navigating between multiple workbooksPress Alt, release it, and then use the left and right arrow keys: To navigate between the ribbon tabs (home, insert, formulas, data etc)SelectionShift + Arrow keys: Selecting one cell at a timeShift + Ctrl + Arrow keys: Selecting entire contiguous blank/non-blank cellsShift + Ctrl + Home/End: Select all cells starting from the one where the cursor is to the first/last used cellCtrl + Space: Select entire columnShift + Space: Select entire rowCtrl + A: Select entire range/table (provided you are already in a cell in the said range/table). A second Ctrl+A will select the entire sheetBasic operationsCtrl + Y/Z/X/C/V: Redo, Undo, Cut, Copy, Paste (in that order)Ctrl + D: A combination of Ctrl+C and Ctrl +V (select a range of cells in which the first one has a formula; Ctrl+D will copy the formula to the entire selection)Ctrl + Shift + V: Paste special (brings up the menu of paste options - only values, values + formatting , formulas etc; the same can be navigated using the arrow keys)Ctrl + Shift + L: Activating/deactivating filters on a rangeAlt + ↓: If used while on the headers of a range with filters active, this will bring up the filter drop-down menuCtrl + F: Find/Replace (use Tab key to toggle between the two options)Ctrl + - : Delete the entire row/column (select row/column first)Ctrl + Shift + +: Add new row/column above/to the left of the selected row/columnF4: Repeat last action (could be anything - formula, formatting etc)FormulaeAlt + = : Sum all cells above (contiguous)Ctrl + ` (the second option on the tilda key below escape): Show all formulae in the worksheetBasic formattingAlt + E + A + A: Clear the contents in all the selected cellsCtrl + B/I/U: Bold/Italics/UnderlineCtrl + 1: Brings up the cell formatting optionsCtrl + $: Change formatting to currencyCtrl + %: Change formatting to percentageCtrl + #: Change formatting to dateFile optionsCtrl + S: Save the fileCtrl + O: Open an existing excel fileCtrl + N: New workbookAlt + Shift + F1: New worksheetDate and timeCtrl+ ; : Insert today’s dateCtrl + Shift + ; : Insert current timeAnd the list goes on.However, excel has far more utilities than can be tagged to a particular keystroke combination. There are no ready-made shortcuts for stuff like format painter, data validation, tracing precedents and dependents, error checking, charts, etc.But worry not, there is a master-key to alleviate all those.ALT key; the excel MVP few people know about.Try it.Press the Alt key, and see what happens.This is what you’ll see.The numbers are for the Quick-access toolbar. We’ll come to that later.The letters represent the various ribbon tabs.Now press any of the letters displayed (F, H, N etc).This is what you’ll get (when you press P; for Page Layout).Now to enter any of the commands, you will have to press the displayed key combination.For example, if you press W, you can access the drop-down menu for page width.The key here would be practice. You’ll at least need to know which tabs have which commands.Coming to the Quick-access toolbar; notice how some of these key combinations might be too long. May be there is a command that you frequently use and would prefer a shorter key combination.Worry not.Go to the File menu -> Options - > Quick-access toolbar.You will see this screen.From the dropdown (2), select “all commands”. The menu below will be populated with all excel commands. Select the one you want, and add it to the right side menu (3).Now, when you go back to the sheet, you can use Alt + (a number) to access that particular command (the one we discussed in the first image).P.S. This is, by no means, an exhaustive list. And it only covers the basic commands.Great excel users use a lot of advanced features like Pivot Tables, Macros etc to automate routine work. But that (at least Macros) would require a fair bit of programming acumen, and lots of practice.Also, most of these shortcuts (except of course, things specific to excel like formulae, cell commands etc) will work with all Office products. Try them out.
What makes the shape of an elliptic curve suitable for cryptographic algorithms?
An elliptic curve is the resulting solutions to [math]y^{2} = x^{3}+ax+b[/math].For every a and b and whole number x there exists a finite number of y (points on the xy plane) that are also integers.A computer can easily spit out such a calculation and generate a table of coordinates on an XY graph where the curve intersects integer coordinates.[math] a = 1, b = 3[/math][math]1^{3} + 1(1) + 3 = {1, 5}[/math][math]2^{3} + 1(2) + 3 = {[/math][math]2[/math][math], [/math][math]11[/math][math]}[/math][math]3^{3} + 1(3) + 3 = {3, 33}[/math][math]4^{3} + 1(4) + 3 = {4, 55}[/math][math]5^{3} + 1(5) + 3 = {5, 133}[/math][math]...[/math]Now if you take a number [math]p[/math][math][/math] (prime), apply it to the curve as a modulus, you willgenerate a finite list of y coordinates that naturally repeats.[math]p[/math][math] = [/math][math]13[/math][math][/math][math]y^{2} = (x^{3} + (1*x) + 3) mod [/math][math]13[/math][math] [/math]first 52 results: 5 0 7 6 3 4 2 3 0 12 6 1 3 5 0 7 6 3 4 2 3 0 12 6 1 3 5 0 7 6 3 4 2 3 0 12 6 1 3 5 0 7 6 3 4 2 3 0 12 6 1 3 You get a finite list of y coordinates:[math] {0, 1, [/math][math]2[/math][math], 3, 4, 5, 6, 7, 12 }[/math]The curve of an ellipse naturally runs through all the integers twice as it loops around its focal point. The interesting property is that you may develop a mathematics such that adding two integer points on the curve generates a vector that intersects the curve at another integer coordinate point.Every different elliptic curve has a unique set of these integer to integer, that repeats, forming a finite set. So you pick two huge prime numbers, and you add them according to the idea above, and you generate a set of integer points from there.But given a set of integer point coordinates, it is extremely difficult to guess the original points that were used to generate the set, unless you have both numbers.One becomes the public key, the other the private key.Take a point [math]P[/math][math][/math] on the curve (with integer coordinates), make a tangent line to another point (also integer coordinates) on the curve, and reflect the intersecting point on the Y axis and arbitrarily “call it” [math]P+P = (2P)[/math] (it will also have integer coordinates).In this way you develop a mathematics of multiplication on that Curve.Do it again, get [math]3P[/math].Do it repeatedly until you come back to the original P, and you will, it is a property of elliptic curves.A simple version of this generates a rotating system of 17 points on a 3rd order elliptic curve:[math] y = x^{3} + 0x + 7 [/math]G is a point on the curve, So is [math]P[/math][math][/math] . [math]P[/math][math] = 6 \times G[/math].It is very fast and easy to calculate P = k * G. (public key)It is very slow and hard to calculate k = P / G. (private Key)In fact the above curve generates the following from G. (13,15)[math]P[/math][math] = {5, 8}[/math] . It is [math]6 \times G[/math].But it also could be any number [math]k[/math] where [math](k \times G) mod 17 = [/math][math]P[/math][math][/math].[math]k = { 6, 23, 40, 57, 74, 91, 108, 125, 142, 159, 176, … (n*17 +6) }[/math]Files or messages re encrypted with the public key P (in reality 512 bytes long — big).If you do not know the contents of the file beforehand, you cannot do anything but try to brute force [math]k [/math](which is 256 bits long [math] 256^{256}-1[/math] possibilities ….) and recover the message. You can’t. Only if you know [math]k[/math] can you do[math]E_{M} = PM = (kG mod{} 17)M[/math][math]M = \dfrac{E_{M}}{(kG mod{} 17)}[/math]to recover M.17 is not enough to do much with cryptographic-ally, but you could set up a system whereevery letter A-Z is a unique combination of 2 points, instead of 1 point, and then have 136 choices.Instead what is done is a large prime is chosen. BUT the point is, you may use a much smaller key than with RSA and still get the same “hardness” that the RSA key presents as a math problem to solve. Typical elliptical key lengths vs RSA key lengths are:Ell : RSA 160 : 1024 224 : 2048 256 : 3072 512 : 15360
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