Wednesday, August 4, 2021

Tan(x) integral | What is the integral of tanx?

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 We wish everyone a good day. In this article, we will tell you what the integral of tan(x) is.


integral of tanx


Integral of Tan(x)


The integral of tanx is -ln|cos(x)|


$\int{tan(x)dx}=-ln|cos(x)|$


Tangent(x) integral ==> $-ln|cos(x)|+C$


Thank you and good work.


Cos(x) integral | What is the integral of cosx?

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One of the most curious questions about its integral is cosx. We will briefly explain what the integral of cosx is for you.


integral of cosx



Integral of Cos(x)


The integral of cosx is sinx.


$\int{cos(x)dx}=sin(x)$




If you memorize the graph above, you can solve sinx and cosx derivatives and integrals correctly without any confusion. Thanks.


Monday, August 2, 2021

Sin(x) integral | What is the integral of sinx?

We wish everyone a good day. In this article, we will tell you what the integral of sin(x) is.






Integral of Sin(x)



The integral of sinx is -cosx




$\int{sin(x)dx}=-cosx$




If you memorize the graph above, you can solve sinx and cosx derivatives and integrals correctly without any confusion. Thanks.



Tuesday, July 27, 2021

Graph of e^x | What is the e x graph drawing?

We wish everyone a good day. In this lesson, we will share with you what is the graph of e to the x.


What is the number of e?


e = 2.718281828459045235360287471352662497757247……. continues in the form.

The number e is an infinite number like the number π. It is commonly known as e=2.718

Also, Euler formulas = $e^{(iθ)}=cos(θ)+isin(θ)$


What is the graph of e to the x?

The graph plot of e to the x is as follows:


e x graph


Thank you so much. We wish you success in your studies.


Warning = When you give -1 to x in the graph of e to the x, it may seem like it comes out 0. But when it takes the value of x=-1, it gives the value of 1/e, that is, 1/2.718. If you noticed on the chart, it should be equal to a value below 0.5. So 0.5 in the y part of the graph is given a little below. Normally it should be above. But in general, the graph is correct.


ex graph


From the picture above, you can find another e to the x graph.


Monday, July 26, 2021

What is x.lnx derivative? Derivative of x.ln(x) (Proven solution)

 Hello dear friends. In this lesson, we will tell you step by step what is the derivative of x.lnx.



First, let's write the product derivative formula:


Firstl, we can let $y=f(x).g(x)$

So derivate of $y’=f(x)’.g(x)+g(x)’.f(x)$

Now, we can go our solution, derivative of x.ln(x)

So, while taking the derivative of x.lnx, we take the derivative of the 1st and multiply it by the 2nd. Then we take the derivative of the 2nd and multiply it by the 1st. Then we add the two. Thus, we find its derivative. Now let's do it step by step.

Let $y=x.ln(x)$

x.lnx Derivative:

1-) $y’=x'.ln(x)+ln'(x).x$


2-) $y'=1.ln(x)+\frac{1}{x}.x$


3-) $y'=ln(x)+1$


4-) As a result, our answer is lnx+1


x.lnx derivative = ln(x)+1


Thank you so much...


Saturday, July 24, 2021

Japanese Numbers 1 to 100 (1-10 Spelling and Pronunciation)

Hello, we can share Japanese numbers from 1 to 100 in this article. We wish you good work in advance.





Japanese Numbers 1 to 10


  • Zero = 0 =  ゼロ = Rei
  • One = 1 = 一 = İchi
  • Two = 2 = 二 = Ni
  • Three = 3 = 三 = San
  • Four = 4 = 四 = Yon (or Shi)
  • Five = 5 = 五 = Go
  • Six = 6 = 六 = Roku
  • Seven = 7 = 七 = Nana (or Shichi)
  • Eight = 8 = 八 = Hachi
  • Nine = 9 = 九 = Kyuu
  • Ten = 10 = 十 = Juu (or Jyuu)

Japanese Numbers 1-100



0 = ゼロ = Rei
1 == Ichi (içi)
2 == Ni
3 == San
4 == Yon (or Shi)
5 == Go
6 == Roku
7 == Nana (or Shichi)
8 == Hachi
9 == Kyuu
10 == Juu (or Jyuu)
11 = 十一 = Juu ichi
12 = 十二 = Juu ni
13 = 十三 = Juu san
14 = 十四 = Juu yon
15 = 十五 = Juu go
16 = 十六 = Juu roku
17 = 十七 = Juu nana
18 = 十八 = Juu hachi
19 = 十九 = Juu kyuu
20 = 二十 = Ni juu
21 = 二十一 = Ni juu ichi
22 = 二十二 = Ni juu ni
23 = 二十三 = Ni juu san
24 = 二十四 = Ni juu yon
25 = 二十五 = Ni juu go
26 = 二十六 = Ni juu roku
27 = 二十七 = Ni juu nana
28 = 二十八 = Ni juu hachi
29 = 二十九 = Ni juu kyuu
30 = 三十 = San juu
31 = 三十一 = San juu ichi
32 = 三十二 = San juu ni
33 = 三十三 = San juu san
34 = 三十四 = San juu yon
35 = 三十五 = San juu go
36 = 三十六 = San juu roku
37 = 三十七 = San juu nana
38 = 三十八 = San juu hachi
39 = 三十九 = San juu kyuu
40 = 四十 = Yon juu
41 = 四十一 = Yon juu ichi
42 = 四十二 = Yon juu ni
43 = 四十三 = Yon juu san
44 = 四十四 = Yon juu yon
45 = 四十五 = Yon juu go
46 = 四十六 = Yon juu roku
47 = 四十七 = Yon juu nana
48 = 四十八 = Yon juu hachi
49 = 四十九 = Yon juu kyuu
50 = 五十 = Go juu
51 = 五十一 = Go juu ichi
52 = 五十二 = Go juu ni
53 = 五十三 = Go juu san
54 = 五十四 = Go juu yon
55 = 五十五 = Go juu go
56 = 五十六 = Go juu roku
57 = 五十七 = Go juu nana
58 = 五十八 = Go juu hachi
59 = 五十九 = Go juu kyuu
60 = 六十 = Roku Juu
61 = 六十一 = Roku juu ichi
62 = 六十二 = Roku juu ni
63 = 六十三 = Roku juu san
64 = 六十四 = Roku juu yon
65 = 六十五 = Roku juu go
66 = 六十六 = Roku juu roku
67 = 六十七 = Roku juu nana
68 = 六十八 = Roku juu hachi
69 = 六十九 = Roku juu kyuu
70 = 七十 = Nana juu
71 = 七十一 = Nana juu ichi
72 = 七十二 = Nana juu ni
73 = 七十三 = Nana juu san
74 = 七十四 = Nana juu yon
75 = 七十五 = Nana juu go
76 = 七十六 = Nana juu roku
77 = 七十七 = Nana juu nana
78 = 七十八 = Nana juu hachi
79 = 七十九 = Nana juu kyuu
80 = 八十 = Hachi juu
81 = 八十一 = Hachi juu ichi
82 = 八十二 = Hachi juu ni
83 = 八十三 = Hachi juu san
84 = 八十四 = Hachi juu yon
85 = 八十五 = Hachi juu go
86 = 八十六 = Hachi juu roku
87 = 八十七 = Hachi juu nana
88 = 八十八 = Hachi juu hachi
89 = 八十九 = Hachi juu kyuu
90 = 九十 = Kyuu juu
91 = 九十一 = Kyuu juu ichi
92 = 九十二 = Kyuu juu ni
93 = 九十三 = Kyuu juu san
94 = 九十四 = Kyuu juu yon
95 = 九十五 = Kyuu juu go
96 = 九十六 = Kyuu juu roku
97 = 九十七 = Kyuu juu nana
98 = 九十八 = Kyuu juu hachi
99 = 九十九 = Kyuu juu kyuu
100 == Hyaku


What is the lnx integral? Integration of ln(x)

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Hello everybody. This article you can teach integral of ln(x). Now, we can go step by step of solution.





Now let's explain what the integral of lnx is with its proof.

While taking the integral, we must first convert u and dv. According to the LIATE rule, u=ln(x) and dv=dx.


>>> $du=\frac{1}{x}$ and $v=x$


  1. L is Logarithmic
  2. I is Inverse Trig
  3. A is Algebraic
  4. T is Trigonometric
  5. E is Exponential

So we solving integral $\int{ln(x)dx}$ LIATE rule; $du=\frac{1}{x}$ and $v=x$
    >>> $\int{ln(x)dx}=\int{udv}$

    >>> $u.v=\int{vdu}$

    Here we write ln(x) for u, x for v, and 1/x for du.

    >>> $ln(x).x-\int{x\frac{1}{x}dx}$

    >>> $ln(x).x-\int{dx}$

    >>> $ln(x).x-x+C$

    >>> $x.ln(x)-x$

    As a result our answer, integral of ln(x) is "x.ln(x)-x"

    2lnx derivative | Derivative of 2.lnx

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    You can reach the derivative of 2lnx step by step in our article. Differansive of 2lnx, Differentiate of 2lnx...




    Derivative of 2.lnx


    Let's take the 2lnx derivative step by step:


    1-) $\frac{d}{dx}2.\ln(x)$

    2-) $2\frac{d}{dx}\ln(x)$

    3-) $\frac{d}{dx}\ln(x)=\frac{1}{x}$

    4-) $2.\frac{1}{x}$

    5-) $\frac{2}{x}$

    So derivative of 2lnx is 2/x

    What is the derivative of lnx? ln x derivative

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    Greetings everyone. In this article, we will show you what is the derivative of lnx. You can learn the lnx derivative with its proof from our article.





    What is the derivative of lnx?



    First, we wrote the expression y=lnx. We'll take the derivative of that. So our question went like this: $\frac{d}{dx}\ln(x)=\frac{d}{dx}y=?$


    $y=\ln(x)$ From here, according to the exponential function rule thi is $y’=\frac{x’}{x}$

    As a result the derivative of ln(x) is $y’=\frac{1}{x}$

    Derivative of ln(x) = 1/x

    Derivative of $ln(x) =\frac{1}{x}$

    Friday, July 23, 2021

    What is the Derivative of Square Root of x? (√x Derivative)

    Hello, in this article we will tell you what is the derivative of root x. You can learn how to take derivatives step by step from our article. Now let's move on to sharing.




    What is the derivative of square root of x?


    To take the derivative of the square root of x, we first convert the square root of x to an exponent.

    So we can transform $\sqrt{x}=x^{\frac{1}{2}}$

    Now we can go solution step by step:


    → $(\sqrt{x})=x^{\frac{1}{2}}$

    → $(\sqrt{x})’=\frac{1}{2}.x^{\frac{1}{2}-1}$

    → $(\sqrt{x})’=\frac{1}{2}.x^{\frac{-1}{2}}$

    → $(\sqrt{x})’=\frac{1}{2.\sqrt{x}}$


    $(\sqrt{x})$ derivative is $\frac{1}{2.\sqrt{x}}$

    Turkish Numbers from 1 to 100

    Hello, in this article we will share with you the Turkish numbers from 1 to 100. Now let's move on to sharing.




    Turkish Numbers 1 to 100

    All numbers from 1 to 100 and their Turkish spellings are as follows.


    0 = Sıfır
    1 = Bir
    2 = İki
    3 = Üç
    4 = Dört
    5 = Beş
    6 = Altı
    7 = Yedi
    8 = Sekiz
    9 = Dokuz
    10 = On
    11 = On bir
    12 = On iki
    13 = On üç
    14 = On dört
    15 = On beş
    16 = On altı
    17 = On yedi
    18 = On sekiz
    19 = On dokuz
    20 = Yirmi
    21 = Yirmi bir
    22 = Yirmi iki
    23 = Yirmi üç
    24 = Yirmi dört
    25 = Yirmi beş
    26 = Yirmi altı
    27 = Yirmi yedi
    28 = Yirmi sekiz
    29 = Yirmi dokuz
    30 = Otuz
    31 = Otuz bir
    32 = Otuz iki
    33 = Otuz üç
    34 = Otuz dört
    35 = Otuz beş
    36 = Otuz altı
    37 = Otuz yedi
    38 = Otuz sekiz
    39 = Otuz dokuz
    40 = Kırk
    41 = Kırk bir
    42 = Kırk iki
    43 = Kırk üç
    44 = Kırk dört
    45 = Kırk beş
    46 = Kırk altı
    47 = Kırk yedi
    48 = Kırk sekiz
    49 = Kırk dokuz
    50 = Elli
    51 = Elli bir
    52 = Elli iki
    53 = Elli üç
    54 = Elli dört
    55 = Elli beş
    56 = Elli altı
    57 = Elli yedi
    58 = Elli sekiz
    59 = Elli dokuz
    60 = Altmış
    61 = Altmış bir
    62 = Altmış iki
    63 = Altmış üç
    64 = Altmış dört
    65 = Altmış beş
    66 = Altmış altı
    67 = Altmış yedi
    68 = Altmış sekiz
    69 = Altmış dokuz
    70 = Yetmiş
    71 = Yetmiş bir
    72 = Yetmiş iki
    73 = Yetmiş üç
    74 = Yetmiş dört
    75 = Yetmiş beş
    76 = Yetmiş altı
    77 = Yetmiş yedi
    78 = Yetmiş sekiz
    79 = Yetmiş dokuz
    80 = Seksen
    81 = Seksen bir
    82 = Seksen iki
    83 = Seksen üç
    84 = Seksen dört
    85 = Seksen beş
    86 = Seksen altı
    87 = Seksen yedi
    88 = Seksen sekiz
    89 = Seksen dokuz
    90 = Doksan
    91 = Doksan bir
    92 = Doksan iki
    93 = Doksan üç
    94 = Doksan dört
    95 = Doksan beş
    96 = Doksan altı
    97 = Doksan yedi
    98 = Doksan sekiz
    99 = Doksan dokuz
    100 = Yüz

    Turkish Numbers 1 to 10


    • Zero = 0 = Sıfır
    • One = 1 = Bir
    • Two = 2 = İki
    • Three = 3 = Üç
    • Four = 4 = Dört
    • Five = 5 = Beş
    • Six = 6 = Altı
    • Seven = 7 = Yedi
    • Eight = 8 = Sekiz
    • Nine = 9 = Dokuz
    • Ten = 10 = On

    Thursday, July 22, 2021

    Derivative of x^-1 | What is the derivative of 1/x

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    We wish everyone a good day. In this article, we will tell you step by step what is the derivative of 1/x.




    One of the most common question patterns about derivatives is the derivative of 1/x. It actually seems difficult, but when we do 1/x = x^-1, we can easily take the derivative. Now let's move on to the solution.


    What is the 1/x Derivative?


    First, we convert 1/x to $\frac{1}{x} = x^{-1}$

    So $\frac{1}{x} = x^{-1}$

    Now we can go solution step by step:

    → $\frac{1}{x} = x^{-1}$

    → $(x^{-1})’ = -1.x^{-2}$

    → So 1/x derivate = $-x^{-2}$ = $-\frac{1}{x^2}$

    So the derivative of 1 over x is $-\frac{1}{x^2}$

    Thanks.

    Derivative of 1/x = $-\frac{1}{x^2}$

    Where are the numerators and denominators in fractions?

    Hello everyone. In this article, we will show you where the numerator and denominator in fractions are.

    In fractions, the top number is the numerator and the bottom number is the denominator. Now let's show it visually.

    Numerator and Denominator



    As you can see in the picture above, the number above is the share. The number below is the denominator. The middle line is defined as the fraction line.

    What is the cos(x)^2 integral? Integral of cos 2 x

    In this math lesson, we will tell you what the integral of cos x 2 is. So what is the integral of cos(x)^2? What is the integral of cos(x) to the 2nd? Cosines ^ 2 x integral you can learn this lesson. You can see the proof and solution in our article. We wish you good integral solving in advance.





    $cos^2x$ Integral | Integral of Cos2(x)


    For the integral of cosx to the 2nd, we first need to write the expansion of cos^2(x).


    $cos^2x$ expansion = $cos^2x=\frac{1+cos2x}{2}$

    $cos^2x$ transform (conversion) = $cos^2x=\frac{1+cos2x}{2}$

    Now that we have done the conversion, our job has become even easier. Now let's move on to the solution.

    Now let's move on to the step-by-step solution:

    → $cos^2x=\frac{1+cos2x}{2}=\frac{1}{2}+\frac{cos2x}{2}$

    → $\int{(\frac{1}{2}+\frac{cos2x}{2})dx}$

    → $\int{\frac{1}{2}dx}+\int{\frac{cos2x}{2}dx}$

    → $\frac{x}{2}+\frac{sin2x}{4}$

    As a result, our answer is $\frac{x}{2}+\frac{sin2x}{4}$. (Answer = x/2 + sin2x/4)

    $cos^2x$ integral = $\frac{x}{2}+\frac{sin2x}{4}$

    Wednesday, July 21, 2021

    Largest prime number | What is the largest prime number?

     Hello, in this article we will write you what is the largest prime number in the world.




    According to the research conducted in 2018, the largest prime number was found. The largest prime number was found to be $2^{82,589,933}-1$.


    Largest prime number = $2^{82,589,933}-1$

    Smallest prime number = 2


    Largest prime number expansion:

    • 148894445742041325547806458472397916603026273992795324185271289425213239361064475310309971132180337174752834401423587560.....(There are 24,861,808 numbers in this field.).....062107557947958297531595208807192693676521782184472526640076912114355308311969487633766457823695074037951210325217902591

    As a result, the last 2 digits of the largest prime number end with 91.

    Integral of sin 2 x | What is the sin(x)^2 integral?

    In this math lesson, we will tell you what the integral of sin x 2 is. So what is the integral of sin(x)^2? What is the integral of sin(x) to the 2nd? You can see the proof and solution in our article. We wish you good integral solving in advance.




    $sin^2x$ Integral | Integral of Sin2(x)


    For the integral of sinx to the 2nd, we first need to write the expansion of sin^2(x).

    $sin^2x$ expansion(transform-conversion):

    • $sin^2x=\frac{1-cos2x}{2}$

    Now let's move on to the step-by-step solution:


    → $sin^2x=\frac{1-cos2x}{2}=\frac{1}{2}-\frac{cos2x}{2}$

    → $\int{(\frac{1}{2}-\frac{cos2x}{2})dx}$

    → $\int{\frac{1}{2}dx}-\int{\frac{cos2x}{2}dx}$

    → $\frac{x}{2}-\frac{sin2x}{4}$


    As a result, our answer is $\frac{x}{2}-\frac{sin2x}{4}$. (Answer = x/2 - sin2x/4)

    Answer > $sin^2x$ integral = $\frac{x}{2}-\frac{sin2x}{4}$


    First 100 Prime Numbers | Prime Numbers from 1 to 100 (Lists)

    Hello, in this article we will share with you all the prime numbers from 1 to 100 and what are the first 100 prime numbers. You can use these prime numbers in your homework, programming codes, presentations.





    The first prime number is 2. The hundredth prime number is 541. Prime numbers continue as 2, 3, 5, 7, 11, 13, 17 .... Now let's write the first 100 prime numbers. Next, let's share a list of all prime numbers from 1 to 100.


    Prime Numbers from 1 to 100


    • 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101


    Prime numbers in order:


    1. 1st prime number: 2
    2. 2nd prime number: 3 
    3. 3rd prime number: 5 
    4. 4th prime number: 7
    5. 5th prime number: 11
    6. 6th prime number: 13
    7. 7th prime number: 17
    8. 8th prime number: 19
    9. 9th prime number : 23
    10. 10th prime number: 29
    11. 11th prime number: 31 
    12. 12th prime number: 37
    13. 13th prime number: 41
    14. 14th prime number: 43
    15. 15th prime number : 47
    16. 16th prime number : 53 
    17. 17th prime number: 59
    18. 18th prime number: 61
    19. 19. prime number : 67
    20. 20th prime number: 71
    21. 21st prime number : 73
    22. 22nd prime number : 79
    23. 23rd prime number : 83
    24. 24th prime number: 89
    25. 25th prime number : 97
    26. 26th prime number : 101


    First 100 Prime Numbers


    List of first 100 prime numbers:

    2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541


    • First prime numbers is = 2
    • The hundredth prime number is = 541


    All prime numbers are like this with a comma between them. Thanks and good work...


    What is the Derivative of Sin(x), Cos(x), Tan(x) and Cot(x)?

    Hello to everyone. I hope you are fine. In this article, we will write you what is the derivative of Sin(x), Cos(x), Tan(x), Cot(x) values. There is also an easy way to take their derivatives. We will also tell you about it. Now what is the derivative of Sin? What is the Cos derivative? What is the Tan derivative? What is the Cot derivative? Let's learn all.


    Derivative integral coordinate (sin and cos) notation
    Derivative integral coordinate (sin and cos) notation


    In the image you see above, the orange arrows represent the derivative, while the green arrows represent the integral. So here the derivative of sinx is cosx. So if you follow the orange arrow, you can find the derivative of sin and cos. Likewise, the green arrows represent the integral. For example, the integral of cosx is sinx.

    Now, let's find out together what are the derivatives of Sin, Cos, Tan, Cot values.

    What is the derivative of sin(x)?


    Sin x derivative = $\frac{d}{dx}\sin(x)=cos(x)$

    What is the derivative of cos(x)?


    Cos x derivative = $\frac{d}{dx}\cos(x)=-sin(x)$

    What is the derivative of tan(x)?


    Tan x derivative = $\frac{d}{dx}\tan(x)=1+tan^2(x)=\frac{1}{cos^2(x)}=sec^2(x)$

    What is the derivative of cot(x)?


    Cot x derivative = $\frac{d}{dx}\cot(x)=-(1+cot^2(x))=-\frac{1}{sin^2(x)}=-cosec^2(x)$


    Thanks and good work...

    Tuesday, July 20, 2021

    Numbers from 1 to 1000 | All Natural Numbers List 1-1000

    Hello everyone. In this math note, we will share with you all natural numbers from 1 to 1000. You can find the numbers below with a comma between them. Numbers from one to one thousand are with you...



    Numbers From 1 to 1000


    1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000


    We wish you good work and good calculations...