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Brief User Guide FOR CASIO GRAPHING CALCULATORS

Contents: This page contains detailed descriptions of how to do a large number of calculations.  These include basic operations such as
roots, powers, trig functions, statistical operations, matrix operations, solving a system of equations, finding the value of the derivative,
and finding the value of  a definite integral. 

Copyright 2007 by Frank Kizer

Composed: 3/1/07               Released:  3/3/07        Last Revised: 8/3/16

THIS PAGE IS FORMATTED FOR FULL-SCREEN VIEWING ON A PC, BUT CAN BE VIEW BY CELL PHONES WITHOUT HORIZONTAL SCROLLING.

How to find an answer on this sheet: In order to make maintenance of this sheet easier, I designed it so that you can use your browser to find answers. After you've located the  number of the question that you want, just use the Find and enter the index number enclosed in parentheses.  The start point for the search should be below the listing in the index.

APPLICABILITY:  This document was primarily written for the Casio CFX-9850GP Plus, but most of the descriptions except for programming should also apply to the CFX-9750 Plus.

Index:
   I.  BASICS:
        1)  How to navigate around in the various modes of the calculator.
        2)  Some basic modes explained.
        3)  Isn't there a way to edit entries on the CFX-9850 the way my friends use ENTRY on the TI-83 Plus?

II.  GRAPHING:
      1)  How do I graph a function on the equation 3x2 + 2x -1 on the CFX-9850GB Plus?
      2)  How do I set the window?
      3)  How do I find some x-y values for a function to use in plotting the function by hand? 
      4)  My CFX-9850 won't scroll past certain numbers in a table.  How can I fix that?
      5
)  When I enter an equation with large coefficients, I often can't find the graph on my CFX-9850Plus.  How do I find it? 
      6)  How do I graph a piecewise function on a Casio CFX-9850GP Plus?
      7)  How do I graph a circle on the CFX-9850Plus?
      8)  How do I draw a circle on a graph?  
      9)  How do I graph and inequality on the CFX-9850+ and do the shading?
    
 10) How do I set up the domain for a function on a CFX-9850Plus?
      11) Is there a special operation for  graphing the  inverse of a function?
      12)  Is there a more accurate way of obtaining the roots of a polynomial than using Trace?
      13)  How can I solve for the intersection of two graphs?

III.  MATRICES: 
       1)    How do I enter a matrix in the CGX-9850BGB Plus?
       2)  How do I add two matrices?
       3)  How do I multiply a matrix by a scalar?
       4)  How do I multiply two  matrices?
       5)   How do I find the determinant of a matrix.
       6)   How do I find the inverse of a matrix.
       7)  How do I do the rref and ref on a Casio CFX-9850GB Plus calculator as the other people in my class do on their TI-83?
       8)  How do I find the inverse of a matrix on the Casio CFX-9850/Plus?
       9)  How do I do matrix row operations with the CFX-9850Plus?
     10
)  How do I activate the program ROWREDA to do Gauss-Jordan? (CFX-9850G PLUS ONLY)
     11)  Is there some way I can get a Gauss-Jordan solution to a matrix the way the TI-83 Plus does?
     12) Can I store the matrix answer in one of the normal matrices?

IV.  EQUATIONS:
       1)  Is there a way to solve quadratics on a CFX-9850Plus?
       2)  How do I solve a system of equations on the TI-83Plus?

V.  FINANCIAL CALCULATIONS:
      1)  How do I do simple interest on a Casio CFX-9850G Plus?
      2)  How do I do compound interest on a Casio CFX-9850G Plus?
      3)  How do I do savings Accounts?
      4)  How do I calculate the monthly payment on a mortgage?

VI.  TRIGONOMETRY:
       
1)  How do I find what the angle whose cos is 0.5?

VII.  CALCULUS:
         
(1)  How do I  find the derivative on my Casio CFX-9850GB Plus?

VIII.  STATISTICS:
          1)  How do I graph a linear regression on the CFX-9850+?

IX.  MISCELLANEOUS:
         
1)  When I enter (-32)^(1/5); then (-2)^3 I get a correct answer, -8, but when I enter (-32)^(3/5) I get Ma    ERROR.  Why?

X.  ELECTRONIC PROCEDURES:
      
1)  How do I transfer a program from one Casio CFX-9850 Plus to another?

ANSWERS:

 I.  BASICS:
        1)  How to navigate around in the various modes of the calculator?
              The Casio graphing calculators are menu driven calculators similar to a computer.  To do any type operations, you must first select the mode appropriate to that operation by pressing MENU, selecting the appropriate icon, and pressing EXE.  Submenus  are available either by default or by pressing the SHIFT key.  An item from the submenu is then selected by pressing the F-key (F1 through F6) that aligns vertically with the desired operation.  You may backstep through the menu levels by pressing EXIT or go directly to the highest level by pressing SHIFT, QUIT.

         2)  Some basic modes explained.
                The icon  for normal arithmetic, roots, powers, and trigonometry functions is RUN.  Most of the other icons are obvious.   Possible  excepts may be  that to do a table of values for a function, you must use the TABLE icon;  to do financial functions use the TVM, and to do a system of equations (similar to Matrix rref on the TI-83 Plus) you must use the EQUA icon.

          3)  Isn't there a way to edit entries on the CFX-9850 the way my friends use ENTRY on the TI-83 Plus?
      As a matter of fact, yes.  Although it's not quite like  the TI-83 Plus.  Let's say you've entered several calculations and you want to edit the last one.  Press the left cursor if want to start editing at the end of the expression or the right cursor if you want to start at the beginning. 
      Now, suppose you have entered three expressions, and you want to go back and edit the first one.
         a)  Press AC.  All of the expressions are cleared from the screen, but don't panic.  They are all stored in memory.
         b)  Press the up arrow and the expressions and will appear in inverse  sequence as the up-arrow is pressed
               sequentially.
====================

II.  GRAPHING:
      1)  How do I graph an equation of the form 3x2 + 2x -1?
            a)  With the calculator on, press MENU,  select the GRAPH icon using the arrow keys and press EXE.  The Y= menu will
                  then be displayed.
            b)  Press 3; then the X,0,T key to enter x; the the x2 key; +, the 2 key; the X,0,T key again; the subtract key (not the minus);
                  and finally the 1 key.  Press EXE to store the equation.
            c)  Now press F6, the F-key corresponding to  DRAW, to graph the function.

       2)  How do I set the window?
             Since most people at our school will be using the TI-83 Plus or TI-84 Plus,  so I'm going to suggest that you set up the
             window that is listed as "Standard" on the TI.
             a)  When in the draw graph or equation entry submenu of the calculator, press SHIFT, V-Window.  Set X-min at -10, X-
                   max at 10 and Y-min and max at -10 and 10 respectively.  Set both scales at 1. 
             b)  Press EXIT to go back to the screen you were at before you started setting the window.

       3)  How do I find some x-y values for a function to use in plotting the function by hand? 
             a)  You must press MENU, select the TABLE icon, and press EXE.  The display will look like the equation entry screen
                   except that TABL will have replaced DRAW.
             b)  If you haven't already entered the equation, enter the equation as explained above and press the F6 key for TABL.  A
                   table of x and y values will be displayed.   If you want more values, see the next explanation.

        4)  My CFX-9850 won't scroll past certain numbers in a table.  How can I fix that?
             Students often notice this when they're working with someone who has a TI-83 Plus, which will scroll past the limits set
             in the table.  The CFX-9850 won't do that.  One way to compensate for that is to set the RANGE very wide, say -15 and
            15 and just leave it there.  To do that, just press F5 for RANG when you're in the table Y= mode; then enter -15 for Start
            and 15 for End.  When you're in the graphing mode, you might find it convenient to just use the TRACE function.  Do
            that as follows:
        a)  Press SHIFT, ZOOM and press F6 if INTG is not displayed. 
        b)  Press F4 (INTEG); then press SHIFT, F1(TRACE), and you can use the cursor to scroll through different x-values.

       5)  When I enter an equation with large coefficients, I often can't find the graph on my Casio CFX-9850Plus.  How do I   
             find it?

            Press SHIFT, ZOOM, F5 (AUTO)

      6)  How do I graph a piecewise function on a Casio CFX-9850BG Plus?
           Doing this on the Casio is very straightforward.
          Let's say we have this piecewise function to graph:
          3x-2 { -5<x<0
          x +1 { 0<x<5
          Then in the Y= graphing list, type this:
          Y1= 3x-1, [-5,0]
          Y2=x+1, [0, 5]
          Press [F6] and that's all there is to it.

      (7)  How do I graph a circle on the CFX-9850Plus?
             a) Go to the MENU, select CONICS, and press EXE.
             b)  Scroll down to the diagram of a circle and press EXE.
             c)  Enter the x-coordinate of the center for H; y-coordinate for K; and the radius for R.
            d) Press F6, DRAW.
            Notice that your circle will not appear circular unless you have the proper window setup.  To get the proper setup, press
            SHIFT, ZOOM, F6,F2(SQR).  If the circle is too small,    press SHIFT, ZOOM,F5(AUTO).

     (8) How do I draw a circle on a graph?
          Well, it's easy to graph a circle with the CFX-9850Plus, but here's how to SKETCH one.
           a)  From the graph screen, press SHIFT, F4 (SKETCH).
           b)  Press F6; then F3(Crcl).
           c)  Move the cursor to the point where you want to center of the circle to appear and press EXE..
           d)  Now move the cursor out to the length of the radius and press EXE.  A circle will appear. 
            To clear sketches, press SHIFT; SKETCH; F1.

  (9)  How do I graph and inequality on the CFX-9850+ and do the shading?
         a)  First, solve the inequalities for y. (Be sure to solve the inequalities, not the equations. )
         b)  Select the GRAPH icon and press EXE.  If a graph is shown, press F6 to go to the Y= Screen.
         c)  Press F3 (Type), and then F6 to go to the inequalities. 
        d)  Select the applicable inequality and press its corresponding "F" key. 
         e)  Enter the inequality expression and press EXE to store.
         f)  Press F6, DRAW,  to graph.

  (10) How do I set up the domain for a function on a CFX-9850Plus?
         Setting the domain is very straight forward.  Say, you want to graph 3x-1 from -5 to 0.  Enter this in variable Y1 in
         1)  3x-1, [-5,0].  Then press [EXE], F6.  That's all there is to it.

  11) Is there a special operation for  graphing the  inverse of a function?
         Actually, what you can do is "sketch" the inverse, mostly to allow you to get an idea of what the inverse looks like.
          None of the operations such as Trace, G-Solv, or Table will work with the inverse sketch. 
         To sketch the inverse do the following: 
            a)  From the graph screen press F4 (Sketch).
            b)  Press F4 again and the inverse will be sketched.

   12)  Is there a more accurate way of obtaining the roots of a polynomial than using Trace?
          
In a word, yes.  Do the following:
           a)  From the graph screen press F5, G-Solv.
           b)  Press F1(Root) and one root will be displayed after a few seconds.
           c)  If there are other roots, press the left arrow and the next root will be displayed after a few seconds.  Additional
                 roots can be determined by repeating this procedure.

  13)  How can I solve for the intersection of two graphs?
            a)  From the graph screen press F5, G-Solv.
           b)  Press F5(Insct) and one intersection will be displayed after a few seconds.
           c)  If there are  other intersections, press the left arrow and the next intersection will be displayed after a few seconds.   
                Additional intersections can be determined by repeating this procedure.

===============================

III.  MATRICES:
        1)  How do I enter a matrix in the CGX-9850BGB Plus?
              a)  Press MENU, select the MAT icon and press EXE.
              b)  Select the matrix (A, B, etc.) and enter the number of rows; press EXE; enter the number of columns and press EXE.  
                   The matrix with zeros entered will be displayed. 
             c)  Enter the data, pressing EXE after each entry.
             d)  Press EXIT to get back to the list of matrices. 

       2)  How do I add two matrices?
             a)  Press MENU, select the RUN icon and press EXE.
             b)  Press OPTN, F2 (Mat), F1 (Mat), ALPHA, A, +   where A is the first of two matrices to add.
             c)  Press F1 (Mat), ALPHA, B   where B is the second matrix you want to add.
             d)  Press EXE and the sum of the two matrices will be displayed.
                   Of course subtraction is the same except that you use the subtract sign instead of the add sign.

        3)  How do I multiply a matrix by a scalar?
               a)  Press MENU, select the RUN icon and press EXE.
               b)  Press OPTN, F2 (Mat).
               c)  Press 4, F1 (Mat), ALPHA, A, EXE  where A is the matrix to be multiplied. 

         4)  How do I multiply two  matrices?
             a)  Press MENU, select the RUN icon and press EXE.
             b)  Press OPTN, F2 (Mat), F1 (Mat), ALPHA, A, x   where A is the first of two matrices to add.
             c)  Press F1 (Mat), ALPHA, B   where B is the second matrix you want to add.
             d)  Press EXE and the product of the two matrices will be displayed.

    ( 5)   How do I find the determinant of a matrix.
                a)  Press MENU, select the RUN icon and press EXE.
               b)  Press OPTN, F2 (Mat). 
               c)  Press F3 (Det), F1 (Mat), ALPHA, A, EXE  where A is the matrix to be multiplied. 

     ( 6)  How do I do the rref and ref  on a Casio CFX-9850GB Plus calculator as the other people in my class do on their
              TI-83.

            There are several approaches you can take.  I would, of course,  recommend my program casrefrref.:-)  You can do
             either ref and rref by selecting the appropriate one from the menu.  Suppose, however, that  you're only spending a
             lecture or so on matrices and don't want to take the 20 minutes or so to enter my program.  The next best thing is to  
             activate a program called ROWREDA that is already stored in the Casio memory, but is
             not active..  To learn how to activate that program, go to my program casrefrref that can be referenced from  the index
             page of my Website.  The program ROWREDA will not give you the ref form but will give you the rref form.
             Finally, you can solve the equations and make up your own rref matrix by hand.  See item 6 below to do that.

       (7)  How do I find the inverse of a matrix on the Casio CFX-9850/Plus?
              a) First enter the matrix in one of the positions, say matrix A.
              b)  Press MENU.  Then select the RUN icon, and press EXE.  That'll take you to the home screen.
              c)  Press OPTN, F2; then F1.  Mat will appear on the home screen. 
              d)  Enter the letter of the matrix you want by using the ALPHA function and letter keys.
              e) Press SHIFT; then x-1 .  x-1 is the  key in the fourth row; fourth column. 
              f) Press EXE.  Your matrix will be displayed if it has an inverse.  If it has no inverse, you'll get a Mat Error. 

       (8)  How do I do matrix row operations with the CFX-9850Plus?
              It's pretty straight forward on this calculator.
              a)  Highlight  the MAT icon from Menu and press [EXE].
              b)  Enter the dimensions of your matrix, press [EXE], and enter the numbers for your matrix.
              c)  Press F1 (R-OP) and select the type operation you want to perform. Numbers should be entered in the order of
                   multiplier, row number being multiplied, row being added to, as appropriate.

      (9)  How do I activate the program ROWREDA to do Gauss-Jordan?
            (This CANNOT be done on the CFX-9750 Plus.)   
            a)  First select the icon PRGM and press EXE.
            b)  Press F6; then F5(Load).
            c)  Scroll down to USA, press EXE, then scroll down to ROWREDA and press EXE.
            d)  The message "Load Completed" appears soon.

       (10)  Is there some way I can get a Gauss-Jordan solution to a matrix the way the TI-83 Plus does?
             
You can use the EQUA function, but it does have some limitations.  You will not be able to get any answer form a
              system that has no solution.  You will only get a math error indication.  For a system that has a solution, do the
             following:

               b)  Select F1 (Simultaneous), and then select the number of unknowns by pressing the appropriate F-key.  For example,
                    press F2 for three unknowns.
               c)  Enter the coefficients and the constants into the matrix that is displayed.
               d)  Press F1 (Solv) and the answers only will be displayed.  If there is no solution, you will get Mat Error.
               e)  If you need the answer in matrix form, you will need to make a matrix by hand and enter the answers in a matrix
                    with zeros along the main diagonal. 

          (11)  Is there some way I can get a Gauss-Jordan solution to a matrix the way the TI-83 Plus does?
                    I've written a program to do that, but perhaps the easiest way is to use the EQUA selection from the
                 MENU, and use Simultaneous.

         ( 12) Can I store the matrix answer in one of the normal matrices?
                
 The short answer is yes, and, in case you want to know, here's how:
               a) After you've done a calculation that you want to transfer to another matrix go to RUN on the MENU.
               b) Press OPTN and then F2 for Mat.
               c) Press F1 to enter Mat on the screen and immediately press SHIFT, Ans. You should now have Mat Ans on the screen.
               d) Press -->. That's the store key that's located immediately the AC/ON key on the Casio 9850.
               e) Press F1 and then ALPHA, B. You should now have Mat Ans --> Mat B on the screen.
               f) Press EXE and Mat Ans data should be displayed on the RUN screen and stored in matrix [B].
                   Actually, I prefer to just store the answer during the calculation. Suppose you want to multiply matrix [A] times
                    matrix [B] and store the answer in matrix [C]. Just enter the following using the steps above. Mat A * Mat B --> Mat C.
                  The Mat Ans data should be stored in Mat B.
         

=====================

IV.  EQUATIONS:
        (1)  Is there a way to solve quadratics on a CFX-9850Plus?
              a) Highlight the EQUA icon on the menu. Press [EXE].
              b)  Press F2 (POLY); then press F1 for degree 2.
              c)  Enter the coefficients and press F1 (SOLVE).  The solution will appear as a 1x2 Matrix.
                  As an aside, cubic equations can be solved similarly.

        (2)  How do I solve a system of equations on the TI-83Plus?
               a)  Highlight the EQUA icon on the menu and press [EXE].
               b)  Select the maximum number of unknowns by pressing the appropriate "F" key..
               c)  Enter the coefficients of the equations and press F1 (SOLV).
===========================
V.  FINANCIAL CALCULATIONS:  (More solutions will soon be added to this section. 3/2/07)
      (1)  How do I do simple interest on a Casio CFX-9850G Plus?
              Generally, it is easier to just use the formula I=PRT for simple interest and plug in the numbers on the calculator. 
             Nevertheless, I will explain how to use the calculator with the following example:  Find the interest and amount for a  
             loan of $1200 borrowed for 2 years at 7% interest.
              a)  Press MENU, select the TVM icon and press EXE.
              b)  Press F1, the SMPL key.
              c)  At the top of the screen you will notice either 360 or 365.  It doesn't matter which so long as the time for your problem
                   is in years, but you will need that number
                   for the entry opposite "n."  (Note that if the time is in days, you must select the number of days for a year the your
                   problem specified if it is different from the
                   number displayed at the top of the screen.  That is done by pressing SHIFT, SET UP; then pressing either F1 or F2 for
                   the correct number of days.
              d)  Assuming the number of days is set for 360, enter 2 x 360  opposite "n."  The number 720 will be displayed.
              e)   Enter 7 opposite I% and -1500 opposite PV.  ( If you leave off the negative sign, your answer will be the same, but it
                    will be negative.
              f)  Press EXE to store the data and press F1 to get the answer of $150.
              g)  To get the amount, press F1; then F2 to get $1650.

         (2)  How do I do compound interest on a Casio CFX-9850G Plus?
                  Suppose you have $1000 and you need $1200 in three years.  What interest rate must you try to get to achieve your 
                  goal?
                  a)  Press MENU, select the TVM icon and press EXE.
                  b)  Enter 3 opposite "n," skip I% and then enter -1000 opposite PV,  enter 0 opposite payment, and 1200 opposite FV, 
                       1  opposite P/Y, and 2 opposite C/Y.
                   c) Press EXE to store the data and press F2 for I%.  The answer, 6.27, will be displayed for the interest.

          3)  How do I do savings Accounts?
                Suppose you need $2500.00 in 2 years and you can get 5% interest compounded semiannually (twice a year).  How
                much must you deposit each month to obtain your goal of $2500?
                a)  Press MENU, select the TVM icon and press EXE.  Press F2 for compound interest.
                b)  Enter 2x12 opposite "n."  Enter 5 opposite I%, 0 opposite PV, -2500 opposite FV, 12 opposite P/Y, and 2 opposite
                      C/Y.
                c)   Press EXE to store the data.
                d)  Press F4 (PMT) to get the monthly payment of $99.31.  (Note that if you did not put the negative sign before the :V
                      amount, your payment answer will be negative.

          4)  How do I calculate the monthly payment on a mortgage?
                Suppose you have a $200,000 loan for 20 years at an annual rate of 6.5% compounded semiannually, what is the
                monthly payment required?
                a)  Press MENU, select the TVM icon and press EXE.
                b)  Press F4 for amortization.
                c)  Press F2 (CMPD).
                d)  Enter 20 x 12 for "n," 6.5 for I%, 200000 for PV, skip PMT, enter zero for FV, 12 for P/Y and 2 for C/y.  Press EXE to
                      store this data.
                 e)  Press F4 (Pmt) and the payment, -1314.25 will be displayed.  The negative sign indicates a cash outlfow.
           ===============================

VI.  TRIGONOMETRY:
       
(1)  How do I find what the angle whose cos is 0.5?
              First make sure that your calculator is set for radians or degrees, whichever you want the answer in. (Usually you'll
              want it in degrees.)  To change the mode, do  this:
             a)  Press SHIFT, SETUP; then cursor down to Angle and press F1, F2 or F3, whichever one you want.  Press EXIT to get
                   back to the home screen (RUN screen).  Now  to find  COS-1 0.5, just press SHIFT, press the COS button; then enter the 
                   argument 0.5 and press  EXE.
===============================

VII.  CALCULUS:
         
(1)  How do I  find the derivative on my Casio CFX-9850GB Plus?
                 First check the SET-UP to make sure you have the derivative turned on.  You can do that as follows:
                a)  Press [SHIFT], [SET-UP]; then scroll down to derivative.  If On is shown, don't do anything. If On is not shown, 
                     press F1.   Secondly, the derivative works with Trace, so you'll need to press [SHIFT], [TRACE] to get a readout of the
                    derivative  as you move along the function curve.

           (2)  How do I  find the integral on my Casio CFX-9850GB Plus?
                 First check the SET-UP to make sure you have the derivative turned on.  You can do that as follows:
                a)  Press [SHIFT], [SET-UP]; then scroll down to "Integration," and select either Gauss or Simpson by pressing either F1 or F2.
                b)  Assume we want the integral of ( 2x² +3x +4)dx from 1 to 5.
                c)  From the RUN screen press OPTN, F4 (CALC), F4  (∫dx), 2, [x, 0, t], x², +, 3, [x, 0, T], +4, 1,5.  The last two numbers are the
                      limits.  If you want the tolerance, you can add that number.  For example, 1, [EXP], (-), ), would be added after the string
                      indicated above. 
               d)  Press EXE and the value 134.6666....will be displayed.
=====================================

VIII.  STATISTICS:
          (1)  How do I graph a linear regression on the CFX-9850 Plus?
                a)  Highlight the STAT icon and press [EXE].
                b)  Enter the x-data in List 1 and the y-data in List 2.
                c)  Press F6 (SET), and scroll down to Graph Type and press F1(Scat) if it's not already set.  Set up the other choices
                     such as List1 for XList and List2 for YList.
                d)   Press [EXE]; then F1 (grph1).  That'll do the scatter plot.
                 e)  Press F1 (X).  That'll give you a, b, r , and r2.
                 f)  Press F6 (Draw), and that'll draw the best line.

VIII.  MISCELLANEOUS:
         
(1)   When I enter (-32)^(1/5); then (-2)^3 I get a correct answer, -8, but when I enter (-32)^(3/5) I get Ma    ERROR.  Why?
                It's probably because of the algorithm used in the last case.  The way most scientific calculators, the TI-82, and the CFX-
               9850 does xm/n is with the identity em/n*ln (x) .  As you can see, when you have -32 you have the natural log of a
               negative number.  That's a complex number and so is listed as an error.  For more on this topic, see item 13 on the  
               FAQs  for Scientific Calculators
============================

IX.  ELECTRONIC OPERATIONS:
      
(1)  How do I transfer a program from one Casio CFX-9850 Plus to another?
              a)  Insure that the power is off on both calculators and plug one end of the SB-62 unit-to-unit cable into each calculator.
              b)  From the main menu page, select the LINK icon and press EXE.
              c)  Press F2, RECEIVE, on the receive calculator.  Note that you must send data within six minutes or an error occurs.  
                   You can press AC to cancel the transmit.
             d)  On the transmit calculator, press F1, Transmit; then F1, Select.
             e)   Scroll down to the program you want to transfer and press F6.  You'll get a Yes or No to confirm transmit.  Press F1,
                    Yes.  Transfer will begin.  If there's a problem, you will get a Transmit ERROR!  Press AC to clear the error.  Press
                    MENU to get back to the menu screen. 
  

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