import java.util.Scanner;

/*
 * @author Anh Trinh 
 * T094054
 */
public class cAss06Pro01_SampleOfArray_T094054 {
    public static void main(String[] args) {
        // TODO Auto-generated method stub
        // the scanner
        Scanner keyboard = new Scanner(System.in);
        // declare variable
        int n;
        // input n from keyboard
        System.out.print("So phan tu cua mang (nho hon 100): n=");
        n = keyboard.nextInt();
        // declare variable
        int[] arrValue = new int[n];
        for (int i = 0; i < n && n < 100; i++) {
            // input A[n] from keyboard
            System.out.print("Nhap A[" + (i + 1) + "] :");
            arrValue[i] = keyboard.nextInt();
        }// end for
        System.out.print("Thu tu nguoc lai:" + "\n");
        // use for to invert the array A[n]
        for (int j = n - 1; j >= 0 && j < 99; j--) {
            // print out the result
            System.out.println("A[" + (j + 1) + "]=" + arrValue[j]);
        }// end for
    }// end main function
}// end class

import java.util.Scanner;

/*
 * @author Anh Trinh 
 * T094054
 */
public class cAss06Pro02_AverageOfArray_T094054 {
    public static void main(String[] args) {
        // TODO Auto-generated method stub
        // the scanner
        Scanner keyboard = new Scanner(System.in);
        // declare variable
        int n;
        // input n from keyboard
        System.out.print("So phan tu cua mang (nho hon 100): n=");
        n = keyboard.nextInt();
        // declare variable
        int[] arrValue = new int[n];
        for (int i = 0; i < n && n < 100; i++) {
            // input A[n] from keyboard
            System.out.print("Nhap A[" + (i + 1) + "]: ");
            arrValue[i] = keyboard.nextInt();
        }// end for
            // declare variable
        double AM = 0, GM = 1, HM = 0, TSS = 0;
        // use for to calculate AM, GM and HM
        for (int j = 0; j < n; j++) {
            AM += arrValue[j];
            GM *= arrValue[j];
            HM += 1 / (double) arrValue[j];
        }// end for
            // use for to calculate TSS
        for (int k = 0; k < n; k++) {
            TSS = TSS + (arrValue[k] - AM / (double) n)
                    * (arrValue[k] - AM / (double) n);
        }// end for
            // print out the result of AM
        System.out.println("AM: " + AM / (double) n);
        // print out the result of GM
        System.out.println("GM: " + Math.pow(GM, 1 / (double) n));
        // print out the result of HM
        System.out.println("HM: " + n / (double) HM);
        // print out the result of TSS
        System.out.println("TSS: " + TSS);
    }// end main function
}// end class

import java.util.Scanner;

/*
 * @author Anh Trinh 
 * T094054
 */
public class cAss06Pro03_StandardDeviation_T094054 {
    public static void main(String[] args) {
        // TODO Auto-generated method stub
        // the scanner
        Scanner keyboard = new Scanner(System.in);
        // declare variable
        int n;
        // input n from keyboard
        System.out.print("So phan tu cua mang (lon hon 1 và nho hon 100): n=");
        n = keyboard.nextInt();
        // declare variable
        double[] arrValue = new double[n];
        for (int i = 0; i < n && n > 1 && n < 100; i++) {
            // input x[i] from keyboard
            System.out.print("Nhap x" + (i + 1) + ": ");
            arrValue[i] = keyboard.nextDouble();
        }// end for
            // declare variable
        double A = 0, TBC = 0, S = 0;
        // use for to calculate arithmetic mean
        for (int j = 0; j < n; j++) {
            TBC = TBC + arrValue[j] / arrValue.length;
        }// end for
            // use for to calculate standard deviation
        for (int k = 0; k < n; k++) {
            A += Math.pow((arrValue[k] - TBC), 2);
            S = Math.pow((A / (double) (n - 1)), 0.5);
        }// end for
            // print out the result
        System.out.println("S= " + S);
    }// end main function
}// end class

import java.util.Scanner;

/*
 * @author Anh Trinh 
 * T094054
 */
public class cAss06Pro04_FibonacciSequence_T094054 {
    public static void main(String[] args) {
        // TODO Auto-generated method stub
        // the scanner
        Scanner keyboard = new Scanner(System.in);
        // declare variable
        int n, i = 0, j;
        // input n from keyboard
        System.out.print("Nhap n: ");
        n = keyboard.nextInt();
        // declare variable
        int[] arrValue = new int[n + 1];
        // first and second element of the sequence
        arrValue[0] = 0;
        arrValue[1] = 1;
        // use for from the third element of the sequence
        for (i = 2; i < n + 1 & n > 1; i = i + 1) {
            arrValue[i] = arrValue[i - 1] + arrValue[i - 2];
        }// end for
        System.out.print("Cac phan tu theo thu tu nguoc lai:");
        // use for to calculate F[n] in descending order
        for (i = n, j = n - 1; i > -1 | j >= 0; i = i - 1, j--) {
            // print out the result
            System.out.print(" F[" + (j + 1) + "]=" + arrValue[i]);
        }// end for
    }// end main function
}// end class

import java.util.Scanner;

/*
 * @author Anh Trinh 
 * T094054
 */
public class cAss06Pro05_FibonacciNumber_T094054 {
    public static void main(String[] args) {
        // TODO Auto-generated method stub
        // the scanner
        Scanner keyboard = new Scanner(System.in);
        // declare variable
        int n, i = 0;
        // input n from keyboard
        System.out.print("Nhap n: ");
        n = keyboard.nextInt();
        // declare variable
        int[] arrValue = new int[n + 1];
        // first and second element of the sequence
        arrValue[0] = 0;
        arrValue[1] = 1;
        // use for from the third element of the sequence
        for (i = 2; i < n + 1 & n > 1; i = i + 1) {
            arrValue[i] = arrValue[i - 1] + arrValue[i - 2];
        }// end for
            // print out the result
        System.out.println("F[" + n + "]=" + arrValue[n]);
    }// end main function
}// end class

import java.util.Scanner;

/*
 * @author Anh Trinh 
 * T094054
 */
public class cAss06Pro06_FibonacciExtension_T094054 {
    public static void main(String[] args) {
        // TODO Auto-generated method stub
        // the scanner
        Scanner keyboard = new Scanner(System.in);
        // declare variable
        int a, b, n, i;
        // input a from keyboard
        System.out.print("Nhap so nguyen a=");
        a = keyboard.nextInt();
        // input b from keyboard
        System.out.print("Nhap so nguyen b=");
        b = keyboard.nextInt();
        // input n from keyboard
        System.out.print("Nhap so nguyen n=");
        n = keyboard.nextInt();
        // declare variable
        int[] arrValue = new int[n + 1];
        // first and second element of the sequence
        arrValue[0] = 0;
        arrValue[1] = 1;
        // use for to calculate F[n]
        for (i = 2; i < n + 1 & n > 1; i = i + 1) {
            arrValue[i] = a * arrValue[i - 1] + b * arrValue[i - 2];
        }// end for
            // use for to print out the result
        for (i = 0; i < n + 1; i++) {
            System.out.println("F[" + i + "]=" + arrValue[i]);
        }// end for
    }// end main function
}// end class

import java.util.Scanner;

/*
 * @author Anh Trinh 
 * T094054
 */
public class cAss06Pro07_WordsList_T094054 {
    public static void main(String[] args) {
        // TODO Auto-generated method stub
        // the scanner
        Scanner keyboard = new Scanner(System.in);
        // declare variable
        String a;
        // input string from keyboard
        System.out.print("Nhap chuoi:");
        a = keyboard.nextLine();
        // split the string and delete spaces
        String[] b = a.split(" ");
        // use for to count words and print out the result
        System.out.println("So tu co trong cau: " + b.length);
        System.out.println("Cac tu co trong cau theo thu tu nguoc lai:");
        // use for to invert the string and print out the result
        for (int i = b.length - 1; i >= 0; i--) {
            System.out.println(b[i]);
        }// end for
    }// end main function
}// end class

import java.util.Scanner;

/*
 * @author Anh Trinh 
 * T094054
 */
public class cAss06Pro08_Dec2Bin_T094054 {
    public static void main(String[] args) {
        // TODO Auto-generated method stub
        Scanner keyboard = new Scanner(System.in);
        // declare variable
        int n, i, a = 0;
        // input n from keyboard
        System.out.print("Nhap so nguyen duong n=");
        n = keyboard.nextInt();
        // declare variable
        int[] arrValue = new int[n];
        System.out.print("Binary number of " + n + " is ");
        // use for to calculate remainders when divide by 2
        for (; n > 0; a++) {
            arrValue[a] = n % 2;
            n = n / 2;
        }// end for
        for (i = a - 1; i > -1; i--) {
            System.out.print(arrValue[i]);
        }// end for
    }// end main function
}// end class

import java.util.Scanner;

/*
 * @author Anh Trinh 
 * T094054
 */
public class cAss06Pro09_EPower_T094054 {
    public static void main(String[] args) {
        // TODO Auto-generated method stub
        Scanner keyboard = new Scanner(System.in);
        // declare variable
        double x, phanso = 1, ketqua = 1, d = 0.000001;
        // input x from keyboard
        System.out.print("Nhap vao mot so thuc x=");
        x = keyboard.nextDouble();
        // use for to calculate the power of e
        for (double i = 1; phanso >= d || phanso <= (-d); i++) {
            phanso = phanso * (x / i);
            ketqua = ketqua + phanso;
        }// end for
            // print out the result
        System.out.println("e mu " + (double) x + " = " + ketqua);
    }// end main function
}// end class

import java.util.Scanner;

/*
 * @author Anh Trinh 
 * T094054
 */
public class cAss06Pro10_SinFunction_T094054 {
    public static void main(String[] args) {
        // TODO Auto-generated method stub
        Scanner keyboard = new Scanner(System.in);
        // declare variable
        double x, sin = 0, d = 0.000001;
        // input x from keyboard
        System.out.print("Nhap vao mot so thuc x=");
        // convert x to radian
        x = keyboard.nextDouble() * 0.0174532925;
        double phanso = x;
        // use for to calculate the sin of x
        for (double n = 1; (phanso >= d) || (phanso <= (-d)); n++) {
            sin = sin + phanso;
            phanso = phanso * (-x * x / ((2 * n + 1) * n * 2));
        }// end for
            // print out the result
        System.out.println("sin(" + x / 0.0174532925 + ") = " + sin);
    }// end main function
}// end class

import java.util.Scanner;

/*
 * @author Anh Trinh 
 * T094054
 */
public class cAss06Pro11_CubeRoot_T094054 {
    public static void main(String[] args) {
        // TODO Auto-generated method stub
        Scanner keyboard = new Scanner(System.in);
        // declare variable
        double x, d = 0.000001;
        // input x from keyboard
        System.out.print("Nhap vao mot so thuc x=");
        x = keyboard.nextDouble();
        // declare variable
        double cube = x / 3;
        // use for to calculate cube root of x
        for (double a = 0; (cube - a) >= d || (cube - a) <= -d;) {
            a = cube;
            cube = ((2 * cube) + x / (cube * cube)) / 3;
        }// end for
            // print out the result
        System.out.print("Can bac 3 cua " + x + " la " + cube);
    }// end main function
}// end class