# Java Program to Find K Closest Median Elements

This is a java program to find K such elements given by users, such that those numbers are closer to the median of the given sequence. We first find the median of the sequence and then compare with each element such that the difference between the median and number is minimum, and print such k elements.

Here is the source code of the Java Program to Find k Numbers Closest to Median of S, Where S is a Set of n Numbers. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.

1. `//This is a java program to find k numbers closest to median of N numbers`
2. `import java.util.Random;`
3. `import java.util.Scanner;`
4. ` `
5. `public class K_Close_Numbers_Median `
6. `{`
7. `    static int N = 25;`
8. `    static int[] sequence = new int[N];`
9. ` `
10. `    public static void sort() `
11. `    {`
12. `        int i, j, temp;`
13. `        for (i = 1; i < N; i++) `
14. `        {`
15. `            j = i;`
16. `            temp = sequence[i];`
17. `            while (j > 0 && temp < sequence[j - 1]) `
18. `            {`
19. `                sequence[j] = sequence[j - 1];`
20. `                j = j - 1;`
21. `            }`
22. `            sequence[j] = temp;`
23. `        }`
24. `    }`
25. ` `
26. `    public static int median()`
27. `    {`
28. `        if(N%2 == 0)`
29. `            return ((sequence[N/2-1] + sequence[N/2])/2);`
30. `        else`
31. `            return sequence[N/2];`
32. `    }`
33. `    public static void main(String args[])`
34. `    {`
35. `        Random random = new Random();`
36. ` `
37. `        for(int i=0; i<N; i++)`
38. `            sequence[i] = Math.abs(random.nextInt(100));`
39. `        sort();`
40. `        System.out.println("The Sequence is: ");`
41. `        for(int i=0; i<N; i++)`
42. `            System.out.print(sequence[i] + " ");`
43. ` `
44. `        int median = median();`
45. `        System.out.println("\nEnter the number of elements close to median you want: ");`
46. `        Scanner sc = new Scanner(System.in);`
47. `        int k = sc.nextInt();`
48. `        int i, j;`
49. `        if(N%2 == 0)`
50. `        {`
51. `            i = N/2-1;`
52. `            j = N/2;`
53. `        }`
54. `        else`
55. `        {`
56. `            i = N/2-1;`
57. `            j = N/2+1;`
58. `        }`
59. `        boolean flag = false; int n;`
60. `        for(n=0; n<k; n++)`
61. `        {`
62. `            if(median-sequence[i] < sequence[j]-median)`
63. `            {`
64. `                System.out.print(sequence[i] + " ");`
65. `                i--;`
66. `                if(i == -1)`
67. `                {`
68. `                    n++;`
69. `                    flag = true;`
70. `                    break;`
71. `                }`
72. `            }`
73. `            else `
74. `            {`
75. `                System.out.print(sequence[j] + " ");`
76. `                j++;`
77. `                if(j == N)`
78. `                {`
79. `                    n++;`
80. `                    break;`
81. `                }`
82. `            }`
83. `        }`
84. `        while(n < k)`
85. `        {`
86. `            if(flag == true)`
87. `            {`
88. `                System.out.print(sequence[j] + " ");`
89. `                j++;`
90. `                n++;`
91. `            }`
92. `            else`
93. `            {`
94. `                System.out.print(sequence[i] + " ");`
95. `                i--;`
96. `                n++;`
97. `            }`
98. `        }`
99. `    }`
100. `}`

Output:

```\$ javac K_Close_Number_Median.java
\$ java K_Close_Number_Median

The Sequence is:
3 6 14 17 21 27 27 35 35 38 38 40 40 41 41 43 55 67 73 77 79 82 82 83 87
Enter the number of elements close to median you want:
5
40 41 41 38 38```

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