programming python

Hướng dẫn kth largest element in an array python - phần tử lớn thứ k trong một python mảng

Cho một mảng và số k trong đó k nhỏ hơn kích thước của mảng. Tìm phần tử nhỏ nhất K K trong mảng đã cho. Cho rằng tất cả các yếu tố mảng là khác biệt.K where K is smaller than the size of the array. Find the K’th smallest element in the given array. Given that all array elements are distinct.

Examples:   

Đầu vào: mảng [] = {7, 10, 4, 3, 20, 15}, k = 3 & nbsp; đầu ra: 7: arr[] = {7, 10, 4, 3, 20, 15}, K = 3 
Output: 7

Đầu vào: mảng [] = {7, 10, 4, 3, 20, 15}, k = 4 & nbsp; đầu ra: 10 & nbsp;: arr[] = {7, 10, 4, 3, 20, 15}, K = 4 
Output: 10 

Chúng tôi đã thảo luận về một vấn đề tương tự với các yếu tố lớn nhất. & NBSP;

Phần tử nhỏ nhất K K

Sắp xếp mảng đã cho và trả về phần tử tại Index K-1 trong mảng được sắp xếp. & NBSP;

Thực hiện theo các bước đã cho để giải quyết vấn đề:

  • Sắp xếp mảng đầu vào theo thứ tự ngày càng tăng
  • Trả lại phần tử tại chỉ mục K-1 [chỉ mục dựa trên 0] trong mảng được sắp xếp

Dưới đây là việc thực hiện phương pháp trên:

C

#include

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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
4int #include 7

K'th smallest element is 5
4int int0#include 4int2#include 4int4

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K'th smallest element is 5
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C++

cmpfunc[6

cmpfunc[7 cmpfunc[8 cmpfunc[9

int 

K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
7int 
K'th smallest element is 5
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K'th smallest element is 5
3

K'th smallest element is 5
4void0

K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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Java

K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
26
K'th smallest element is 5
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K'th smallest element is 5
28

K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
58
K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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Python3

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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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C#

K'th smallest element is 5
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K'th smallest element is 5
96
K'th smallest element is 5
77 
K'th smallest element is 5
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K'th smallest element is 5
99

K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
4
K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
1

Thực hiện theo các bước đã cho để giải quyết vấn đề:

  • Chèn tất cả các phần tử mảng vào tập hợp
  • Tiến lên trình lặp đến phần tử KTH trong tập hợp
  • Trả về giá trị của phần tử mà tại đó iterator đang trỏ

Dưới đây là việc thực hiện phương pháp trên:

C++

cmpfunc[6

cmpfunc[7 cmpfunc[8 cmpfunc[9

int #include 3

K'th smallest element is 5
3

K'th smallest element is 5
4int #include 7

K'th smallest element is 5
4int int0#include 4int2#include 4#include 39

K'th smallest element is 5
4int #include 42

K'th smallest element is 5
4#include 44int#include 46

K'th smallest element is 5
4#include 44int#include 50

K'th smallest element is 5
4#include 52

K'th smallest element is 5
4#include 54#include 55
K'th smallest element is 5
56

K'th smallest element is 5
4
K'th smallest element is 5
5 cmpfunc[4

K'th smallest element is 5
1

Java

K'th smallest element is 5
07 #include 62

K'th smallest element is 5
11 
K'th smallest element is 5
12

K'th smallest element is 5
4
K'th smallest element is 5
14 
K'th smallest element is 5
15 void 
K'th smallest element is 5
35

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
222int#include 74
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K'th smallest element is 5
22int #include 87

K'th smallest element is 5
22int 
K'th smallest element is 5
54#include 91
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56

K'th smallest element is 5
22#include 94

K'th smallest element is 5
22#include 96
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40 #include 98

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22#include 00 #include 5int #include 03#include 04#include 05

#include 06#include 07

K'th smallest element is 5
22#include 09

K'th smallest element is 5
22#include 11 #include 12#include 04#include 14

#include 06#include 16

#include 06#include 94

K'th smallest element is 5
22#include 20

K'th smallest element is 5
22#include 22

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
1

Python3

K'th smallest element is 5
75 
K'th smallest element is 5
76
K'th smallest element is 5
77 ____177 
K'th smallest element is 5
79
K'th smallest element is 5
80

K'th smallest element is 5
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K'th smallest element is 5
82
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K'th smallest element is 5
84
K'th smallest element is 5
42
K'th smallest element is 5
43__

K'th smallest element is 5
4
K'th smallest element is 5
96
K'th smallest element is 5
77 
K'th smallest element is 5
98
K'th smallest element is 5
99

K'th smallest element is 5
4______2017177 #include 91

K'th smallest element is 5
4#include 56
K'th smallest element is 5
77 #include 58
K'th smallest element is 5
99

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4#include 00 #include 62#include 63 #include 64

K'th smallest element is 5
222
K'th smallest element is 5
75 
K'th smallest element is 5
01
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77
K'th smallest element is 5
77 
K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
77 
K'th smallest element is 5
27

C#

cmpfunc[7 

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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
22int #include 87

K'th smallest element is 5
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54#include 91
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K'th smallest element is 5
22#include 96
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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75 
K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
80  O[N*log N]
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
84
K'th smallest element is 5
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K'th smallest element is 5
43__

K'th smallest element is 5
4
K'th smallest element is 5
96
K'th smallest element is 5
77 
K'th smallest element is 5
98
K'th smallest element is 5
99

K'th smallest element is 5
4______2017177 #include 91

Thực hiện theo các bước đã cho để giải quyết vấn đề:

  • K'th smallest element is 5
    4#include 56
    K'th smallest element is 5
    77 #include 58
    K'th smallest element is 5
    99
  • K'th smallest element is 5
    4#include 00 #include 62#include 63 #include 64
  • K'th smallest element is 5
    222
    K'th smallest element is 5
    75 
    K'th smallest element is 5
    01
    K'th smallest element is 5
    77
    K'th smallest element is 5
    77 
    K'th smallest element is 5
    27
    K'th smallest element is 5
    80

Dưới đây là việc thực hiện phương pháp trên:

C++

int45

int46

cmpfunc[7 cmpfunc[8 cmpfunc[9

int #include 3

K'th smallest element is 5
4int #include 7

K'th smallest element is 5
4intint60

K'th smallest element is 5
4int int0#include 4int2#include 4#include 39

K'th smallest element is 5
4int #include 42

K'th smallest element is 5
14
K'th smallest element is 5
80

K'th smallest element is 5
4
K'th smallest element is 5
5 cmpfunc[4

Java

K'th smallest element is 5
07 #include 62

K'th smallest element is 5
11 
K'th smallest element is 5
12

K'th smallest element is 5
4
K'th smallest element is 5
14 
K'th smallest element is 5
15 void 
K'th smallest element is 5
35

K'th smallest element is 5
222int#include 74
K'th smallest element is 5
42
K'th smallest element is 5
43__

K'th smallest element is 5
22int #include 87

K'th smallest element is 5
51

K'th smallest element is 5
22int 
K'th smallest element is 5
54#include 91
K'th smallest element is 5
56

K'th smallest element is 5
3

K'th smallest element is 5
4cmpfunc[17

K'th smallest element is 5
4cmpfunc[19

K'th smallest element is 5
22#include 96
K'th smallest element is 5
40 #include 98

K'th smallest element is 5
22#include 00 #include 5int #include 03#include 04#include 05

K'th smallest element is 5
22#include 11 #include 12#include 04#include 14

K'th smallest element is 5
22cmpfunc[29

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
1

K'th smallest element is 5
75 
K'th smallest element is 5
76
K'th smallest element is 5
77 ____177 
K'th smallest element is 5
79
K'th smallest element is 5
80

K'th smallest element is 5
3

K'th smallest element is 5
4
K'th smallest element is 5
82
K'th smallest element is 5
77 
K'th smallest element is 5
84
K'th smallest element is 5
42
K'th smallest element is 5
43__

K'th smallest element is 5
4
K'th smallest element is 5
96
K'th smallest element is 5
77 
K'th smallest element is 5
98
K'th smallest element is 5
99

K'th smallest element is 5
4______2017177 #include 91

K'th smallest element is 5
4#include 56
K'th smallest element is 5
77 #include 58
K'th smallest element is 5
99

K'th smallest element is 5
22cmpfunc[49

K'th smallest element is 5
22cmpfunc[51

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4cmpfunc[55

K'th smallest element is 5
4#include 00 #include 62#include 63 #include 64

K'th smallest element is 5
1

K'th smallest element is 5
222
K'th smallest element is 5
75 
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01
K'th smallest element is 5
77
K'th smallest element is 5
77 
K'th smallest element is 5
27
K'th smallest element is 5
80

K'th smallest element is 5
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K'th smallest element is 5
4int cmpfunc[67

K'th smallest element is 5
4int cmpfunc[70

K'th smallest element is 5
4int cmpfunc[73

K'th smallest element is 5
4
K'th smallest element is 5
75 cmpfunc[76

K'th smallest element is 5
22cmpfunc[78

K'th smallest element is 5
4
K'th smallest element is 5
75 cmpfunc[81

K'th smallest element is 5
22cmpfunc[83

K'th smallest element is 5
4
K'th smallest element is 5
75 cmpfunc[86

K'th smallest element is 5
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K'th smallest element is 5
22cmpfunc[90

K'th smallest element is 5
4
K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
4int const03

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K'th smallest element is 5
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22const26

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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
4int #include 7

K'th smallest element is 5
4int int0#include 4int2#include 4int4

K'th smallest element is 5
4* a, 9
K'th smallest element is 5
00

K'th smallest element is 5
01
K'th smallest element is 5
02

K'th smallest element is 5
4
K'th smallest element is 5
5 cmpfunc[4

K'th smallest element is 5
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Java

K'th smallest element is 5
07 #include 62

K'th smallest element is 5
11 
K'th smallest element is 5
12

K'th smallest element is 5
4
K'th smallest element is 5
11 int57

K'th smallest element is 5
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22int int63

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22int int66

K'th smallest element is 5
22int int82int int84
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22int int89__

K'th smallest element is 5
22int int96__

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22int cmpfunc[06
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22void void11int void13

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22int70int int72int cmpfunc[14

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Các

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22int void61

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K'th smallest element is 5
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int31void22#include 04

K'th smallest element is 5
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K'th smallest element is 5
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#include 06cmpfunc[55

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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
22void void22int cmpfunc[63

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K'th smallest element is 5
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int31cmpfunc[78

#include 06

K'th smallest element is 5
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Đầu ra 

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Độ phức tạp về thời gian: O [n + k log n] .AUXILIARITY Không gian: O [N] O[N + K Log N].
Auxiliary Space: O[N]

Yếu tố nhỏ nhất k hèth trong một mảng chưa được phân loại sử dụng tối đa

Max-heap có thể được sử dụng để tìm phần tử nhỏ nhất thứ k, bằng cách chèn các phần tử K đầu tiên vào tối đa và sau đó so sánh các phần tử còn lại với gốc của MAX-HEAP và nếu phần tử nhỏ hơn gốc thì hãy loại bỏ gốc và chèn Yếu tố này vào đống và cuối cùng trả lại gốc của Max-Heap & NBSP;

Thực hiện theo các bước đã cho để giải quyết vấn đề:

  • Xây dựng một mh tối đa của các phần tử K đầu tiên [ARR [0] thành ARR [K-1]] của mảng đã cho. & NBSP;
  • Đối với mỗi phần tử, sau phần tử KTH [ARR [K] với ARR [N-1]], so sánh nó với gốc của MH. & NBSP;
    • Nếu phần tử nhỏ hơn gốc thì hãy biến nó thành gốc và gọi Heapify cho Max-Heap MH
    • b] khác bỏ qua nó. & nbsp;
  • Cuối cùng, gốc của MH là yếu tố nhỏ nhất thứ k.

Dưới đây là việc thực hiện phương pháp trên:

C++

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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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Độ phức tạp về thời gian: O [k + [n-k] * log k] & nbsp; không gian phụ trợ: O [k]O[K + [N-K] * Log K] 
Auxiliary Space: O[K]

Phần tử nhỏ nhất K K

Đây là một tối ưu hóa qua Phương pháp 1, nếu QuickSort được sử dụng như một thuật toán sắp xếp trong bước đầu tiên. Trong Quicksort, chọn một phần tử trục, sau đó di chuyển phần tử trục đến vị trí chính xác của nó và phân vùng mảng xung quanh. Ý tưởng là, không phải hoàn thành Quicksort, mà dừng lại ở điểm mà chính Pivot là yếu tố nhỏ nhất của K Khănth. Ngoài ra, không tái diễn cho cả hai bên trái và phải của trục, nhưng tái diễn cho một trong số họ theo vị trí của Pivot. & NBSP;

Thực hiện theo các bước đã cho để giải quyết vấn đề:

  • Chạy thuật toán sắp xếp nhanh trên mảng đầu vào
    • Trong thuật toán này chọn một phần tử xoay và di chuyển nó đến vị trí chính xác
    • Bây giờ, nếu chỉ số của trục bằng K thì hãy trả về giá trị, nếu không nếu chỉ số của trục lớn hơn k, thì recur cho subarray bên trái, khác sẽ tái diễn đối với subarray bên phải & nbsp;
    • Lặp lại quá trình này cho đến khi phần tử tại Index K không được tìm thấy

Dưới đây là việc thực hiện phương pháp trên:

C

K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
767

K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
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K'th smallest element is 5
758

K'th smallest element is 5
22int 
K'th smallest element is 5
761

K'th smallest element is 5
222__175 
K'th smallest element is 5
764

#include 06

K'th smallest element is 5
5 
K'th smallest element is 5
767

K'th smallest element is 5
222__175 
K'th smallest element is 5
770

#include 06

K'th smallest element is 5
5 
K'th smallest element is 5
773

K'th smallest element is 5
222____15 
K'th smallest element is 5
776

K'th smallest element is 5
777
K'th smallest element is 5
778

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
5 cmpfunc[41

K'th smallest element is 5
1

void int51int* a, int

K'th smallest element is 5
2

K'th smallest element is 5
3

K'th smallest element is 5
4int 
K'th smallest element is 5
794

K'th smallest element is 5
4
K'th smallest element is 5
796

K'th smallest element is 5
4
K'th smallest element is 5
798

K'th smallest element is 5
1

int 

K'th smallest element is 5
738int 
K'th smallest element is 5
5int 
K'th smallest element is 5
742int

K'th smallest element is 5
3

K'th smallest element is 5
4int 
K'th smallest element is 5
811

K'th smallest element is 5
4#include 00 #include 5int 
K'th smallest element is 5
816

K'th smallest element is 5
222__175 
K'th smallest element is 5
819

#include 06

K'th smallest element is 5
821

#include 06

K'th smallest element is 5
823

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
829

K'th smallest element is 5
4
K'th smallest element is 5
5 
K'th smallest element is 5
832

K'th smallest element is 5
1

int #include 3

K'th smallest element is 5
3

K'th smallest element is 5
4int 
K'th smallest element is 5
839

K'th smallest element is 5
4int int0#include 4int2#include 4
K'th smallest element is 5
846

K'th smallest element is 5
4* a, 9
K'th smallest element is 5
00

K'th smallest element is 5
01
K'th smallest element is 5
976

K'th smallest element is 5
4
K'th smallest element is 5
5 cmpfunc[4

K'th smallest element is 5
1

Java

K'th smallest element is 5
07 
K'th smallest element is 5
08

K'th smallest element is 5
07 
K'th smallest element is 5
10

K'th smallest element is 5
11 
K'th smallest element is 5
12

K'th smallest element is 5
4
K'th smallest element is 5
14 
K'th smallest element is 5
15 int 
K'th smallest element is 5
991int 
K'th smallest element is 5
742int 
K'th smallest element is 5
807

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
22int 
K'th smallest element is 5
811

K'th smallest element is 5
22#include 00 #include 5int #include 0055____127#include 007

#include 06

K'th smallest element is 5
75 
K'th smallest element is 5
819

int31int #include 013

int31#include 015

int31#include 017

int31

K'th smallest element is 5
823

#include 06

K'th smallest element is 5
1

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
22int #include 013

K'th smallest element is 5
22#include 028

K'th smallest element is 5
22#include 030

K'th smallest element is 5
222____15 
K'th smallest element is 5
832

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
14 
K'th smallest element is 5
15 int 
K'th smallest element is 5
17int #include 042

#include 043int 

K'th smallest element is 5
752int 
K'th smallest element is 5
9

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
222
K'th smallest element is 5
75 #include 12#include 04 #include 054
K'th smallest element is 5
27#include 14

#include 06int 

K'th smallest element is 5
761

#include 06

K'th smallest element is 5
75 #include 062
K'th smallest element is 5
27
K'th smallest element is 5
67

int31

K'th smallest element is 5
5 
K'th smallest element is 5
767

#include 06

K'th smallest element is 5
75 #include 070
K'th smallest element is 5
27
K'th smallest element is 5
67

int31

K'th smallest element is 5
5 #include 075
K'th smallest element is 5
27#include 077

#include 06

K'th smallest element is 5
5 #include 080
K'th smallest element is 5
27#include 082

#include 083#include 084

K'th smallest element is 5
27
K'th smallest element is 5
72

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
222____15 void71

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
14 
K'th smallest element is 5
15 void 
K'th smallest element is 5
35

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
22#include 102

#include 06

K'th smallest element is 5
82
K'th smallest element is 5
40 
K'th smallest element is 5
41
K'th smallest element is 5
42
K'th smallest element is 5
43__

K'th smallest element is 5
22int 
K'th smallest element is 5
54
K'th smallest element is 5
44
K'th smallest element is 5
56

K'th smallest element is 5
22
K'th smallest element is 5
58

#include 06

K'th smallest element is 5
00

#include 06#include 131#include 04#include 133

K'th smallest element is 5
27#include 135

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
1

Python3

K'th smallest element is 5
07 #include 140

K'th smallest element is 5
65 #include 142

K'th smallest element is 5
4
K'th smallest element is 5
75 #include 12#include 04 
K'th smallest element is 5
193 #include 148__

K'th smallest element is 5
22#include 157
K'th smallest element is 5
77 #include 159

K'th smallest element is 5
222
K'th smallest element is 5
75 #include 162__172

#include 06

K'th smallest element is 5
5 #include 173

K'th smallest element is 5
222
K'th smallest element is 5
75 #include 162
K'th smallest element is 5
72 #include 178__

#include 06

K'th smallest element is 5
5 #include 184
K'th smallest element is 5
72 
K'th smallest element is 5
27#include 187

K'th smallest element is 5
222____15 #include 190
K'th smallest element is 5
085 
K'th smallest element is 5
27#include 082

K'th smallest element is 5
7777
K'th smallest element is 5
01__172

K'th smallest element is 5
4
K'th smallest element is 5
5 #include 205

K'th smallest element is 5
65 #include 207

K'th smallest element is 5
4#include 209
K'th smallest element is 5
77 #include 211

K'th smallest element is 5
4int16
K'th smallest element is 5
77 
K'th smallest element is 5
203

K'th smallest element is 5
4#include 00 #include 218#include 63 
K'th smallest element is 5
250#include 221

K'th smallest element is 5
222
K'th smallest element is 5
75 #include 224
K'th smallest element is 5
77 #include 226

#include 06#include 228

K'th smallest element is 5
77 #include 230

#include 06int16

K'th smallest element is 5
085
K'th smallest element is 5
77 
K'th smallest element is 5
27

K'th smallest element is 5
4#include 237
K'th smallest element is 5
77 #include 239

K'th smallest element is 5
4
K'th smallest element is 5
5 
K'th smallest element is 5
187

K'th smallest element is 5
75 
K'th smallest element is 5
76
K'th smallest element is 5
77
K'th smallest element is 5
77 #include 247
K'th smallest element is 5
80

K'th smallest element is 5
4
K'th smallest element is 5
82
K'th smallest element is 5
77 
K'th smallest element is 5
84
K'th smallest element is 5
42
K'th smallest element is 5
43__

K'th smallest element is 5
4
K'th smallest element is 5
96
K'th smallest element is 5
77 
K'th smallest element is 5
98
K'th smallest element is 5
99

K'th smallest element is 5
4
K'th smallest element is 5
01
K'th smallest element is 5
77 
K'th smallest element is 5
44

K'th smallest element is 5
4
K'th smallest element is 5
05#include 5
K'th smallest element is 5
07int9

K'th smallest element is 5
09#include 282#include 04#include 284
K'th smallest element is 5
72 
K'th smallest element is 5
27#include 287

C#

cmpfunc[7 

K'th smallest element is 5
12

K'th smallest element is 5
11 
K'th smallest element is 5
12

K'th smallest element is 5
4
K'th smallest element is 5
14 
K'th smallest element is 5
15 int 
K'th smallest element is 5
991int 
K'th smallest element is 5
742int 
K'th smallest element is 5
807

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
22int 
K'th smallest element is 5
811

K'th smallest element is 5
22#include 00 #include 5int #include 0055____127#include 007

#include 06

K'th smallest element is 5
75 
K'th smallest element is 5
819

#include 06

K'th smallest element is 5
75 
K'th smallest element is 5
819

int31#include 013

int31#include 015

int31#include 017

int31

K'th smallest element is 5
823

#include 06

K'th smallest element is 5
1

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
22#include 013

K'th smallest element is 5
22#include 028

K'th smallest element is 5
22#include 030

K'th smallest element is 5
222____15 
K'th smallest element is 5
832

K'th smallest element is 5
4
K'th smallest element is 5
14 
K'th smallest element is 5
15 int 
K'th smallest element is 5
17int #include 042

#include 043int 

K'th smallest element is 5
752int 
K'th smallest element is 5
9

#include 043int 

K'th smallest element is 5
9

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
222__175 
K'th smallest element is 5
758

#include 06int 

K'th smallest element is 5
761

#include 06

K'th smallest element is 5
75 
K'th smallest element is 5
764

int31

K'th smallest element is 5
5 
K'th smallest element is 5
767

#include 06

K'th smallest element is 5
75 #include 372

int31

K'th smallest element is 5
5 
K'th smallest element is 5
773

#include 06

K'th smallest element is 5
5 
K'th smallest element is 5
776

#include 083

K'th smallest element is 5
778

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
222____15 int
K'th smallest element is 5
613

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
14 
K'th smallest element is 5
15 void 
K'th smallest element is 5
37

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
22int#include 398

K'th smallest element is 5
22int #include 401

K'th smallest element is 5
22
K'th smallest element is 5
50

#include 06

K'th smallest element is 5
00

#include 06#include 407

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
1

JavaScript

K'th smallest element is 5
4
K'th smallest element is 5
60 #include 413

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
22#include 417 
K'th smallest element is 5
811

K'th smallest element is 5
22#include 00 #include 421

#include 06

K'th smallest element is 5
75 
K'th smallest element is 5
819

int31#include 417 #include 013

int31#include 015

int31#include 017

int31

K'th smallest element is 5
823

#include 06

K'th smallest element is 5
1

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
222#include 417 #include 013

K'th smallest element is 5
22#include 028

K'th smallest element is 5
22#include 030

K'th smallest element is 5
222____15 
K'th smallest element is 5
832

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
60 #include 452

K'th smallest element is 5
222__175 #include 455

#include 06#include 417 

K'th smallest element is 5
761

#include 06

K'th smallest element is 5
75 #include 461

int31

K'th smallest element is 5
5 
K'th smallest element is 5
767

#include 06

K'th smallest element is 5
75 #include 372

int31

K'th smallest element is 5
5 
K'th smallest element is 5
773

#include 06

K'th smallest element is 5
5 
K'th smallest element is 5
776

#include 06#include 475

K'th smallest element is 5
222____15 int
K'th smallest element is 5
613

K'th smallest element is 5
4
K'th smallest element is 5
14 
K'th smallest element is 5
15 void 
K'th smallest element is 5
37

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
22int #include 401

JavaScript

K'th smallest element is 5
4
K'th smallest element is 5
60 #include 413

K'th smallest element is 5
22#include 494

K'th smallest element is 5
22#include 417 
K'th smallest element is 5
811

K'th smallest element is 5

K'th smallest element is 5
22#include 00 #include 421O[N2] in worst case and O[N] on average 
Auxiliary Space: O[1]

#include 06
K'th smallest element is 5
75 
K'th smallest element is 5
819

int31#include 417 #include 013

int31#include 017A[] = {7, 0, 25, 6, 16, 17, 0}, K = 3

K'th smallest element is 5
222#include 417 #include 013

  • K'th smallest element is 5
    222____15 
    K'th smallest element is 5
    832
  • K'th smallest element is 5
    4
    K'th smallest element is 5
    60 #include 452
  • K'th smallest element is 5
    222__175 #include 455

#include 06#include 417 

K'th smallest element is 5
761

C++

cmpfunc[6

#include 06

K'th smallest element is 5
75 #include 461

#include 06

K'th smallest element is 5
75 #include 467

K'th smallest element is 5
3

int31

K'th smallest element is 5
5 #include 470

K'th smallest element is 5
222

K'th smallest element is 5
22#include 517

K'th smallest element is 5
222____15 #include 480

K'th smallest element is 5
22
K'th smallest element is 5
3

K'th smallest element is 5
222#include 417 #include 485

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
222#include 417 #include 488

K'th smallest element is 5
1

K'th smallest element is 5
222#include 20
K'th smallest element is 5
00 
K'th smallest element is 5
085

K'th smallest element is 5
3

Đầu ra

Độ phức tạp về thời gian: O [N2] trong trường hợp xấu nhất và O [n] trung bình & nbsp; không gian phụ trợ: O [1]

K'th smallest element is 5
4#include 544int#include 546

K'th smallest element is 5
4#include 548int
K'th smallest element is 5
43int#include 552

Phần tử nhỏ nhất K K

K'th smallest element is 5
22#include 559

K'th smallest element is 5
4
K'th smallest element is 5
1

Cách tiếp cận này rất giống với thuật toán Sắp xếp nhanh và đếm nhưng dễ thực hiện hơn nhiều. Sử dụng bản đồ và sau đó ánh xạ từng phần tử với tần số của nó. Và như một bản đồ được đặt hàng sẽ lưu trữ dữ liệu theo cách được sắp xếp, vì vậy hãy tiếp tục thêm tần số của từng phần tử cho đến khi nó không trở nên lớn hơn hoặc bằng k để có thể đạt được phần tử K'th từ đầu, tức là K 'yếu tố nhỏ nhất.

Ví dụ: A [] = {7, 0, 25, 6, 16, 17, 0}, k = 3

K'th smallest element is 5
01#include 572

Thực hiện theo các bước đã cho để giải quyết vấn đề:

K'th smallest element is 5
1

Lưu trữ tần số của mọi phần tử trong bản đồ MP

Bây giờ đi qua các phần tử được sắp xếp trong bản đồ MP và thêm tần số của chúng vào một freq biến

Nếu tại bất kỳ điểm nào, giá trị của freq lớn hơn hoặc bằng k, thì hãy trả lại giá trị của trình lặp của bản đồ MP

Dưới đây là việc thực hiện phương pháp trên:

cmpfunc[7 cmpfunc[8 cmpfunc[9

K'th smallest element is 5
4
K'th smallest element is 5
3

int #include 500int

K'th smallest element is 5
43int#include 504int 
K'th smallest element is 5
9

K'th smallest element is 5
4int #include 510

#include 06#include 599int#include 601

K'th smallest element is 5
4#include 00 #include 5#include 514 #include 515

K'th smallest element is 5
222__175 #include 520

#include 06

K'th smallest element is 5
1

K'th smallest element is 5
22
K'th smallest element is 5
1

#include 06

K'th smallest element is 5
5 #include 525

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
5 #include 532

K'th smallest element is 5
4
K'th smallest element is 5
3

int #include 3

K'th smallest element is 5
4int #include 539

K'th smallest element is 5
4int 
K'th smallest element is 5
48

K'th smallest element is 5
4#include 00 #include 5int #include 557

K'th smallest element is 5
4int #include 564

#include 06#include 663#include 04#include 665

K'th smallest element is 5
27
K'th smallest element is 5
72

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
4* a, 9#include 567 #include 568#include 569 #include 570

K'th smallest element is 5
22#include 674

#include 06#include 567 #include 677#include 569 #include 679

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
1

Python3

K'th smallest element is 5
65 #include 684

K'th smallest element is 5
4#include 686
K'th smallest element is 5
77 #include 04

K'th smallest element is 5
4#include 00 #include 691#include 63 #include 693#include 694

K'th smallest element is 5
22#include 686
K'th smallest element is 5
085
K'th smallest element is 5
77 #include 699

K'th smallest element is 5
222____175 #include 7022
K'th smallest element is 5
77 #include 704

#include 06

K'th smallest element is 5
5 #include 707

K'th smallest element is 5
4
K'th smallest element is 5
5 ________ 172 ________ 127 & nbsp;

K'th smallest element is 5
75 
K'th smallest element is 5
76
K'th smallest element is 5
77
K'th smallest element is 5
77 #include 247
K'th smallest element is 5
80

K'th smallest element is 5
4
K'th smallest element is 5
96
K'th smallest element is 5
77 
K'th smallest element is 5
46

K'th smallest element is 5
4______2017177 
K'th smallest element is 5
55

K'th smallest element is 5
4
K'th smallest element is 5
82
K'th smallest element is 5
77 
K'th smallest element is 5
84
K'th smallest element is 5
42
K'th smallest element is 5
43__

K'th smallest element is 5
4#include 741
K'th smallest element is 5
77 #include 743

K'th smallest element is 5
4#include 00 int16#include 63 
K'th smallest element is 5
250#include 749

K'th smallest element is 5
22
K'th smallest element is 5
75 #include 752#include 63 #include 754

#include 06#include 756

K'th smallest element is 5
77 #include 756____1085 ________ 127 & NBSP;

K'th smallest element is 5
22#include 762
K'th smallest element is 5
80

#include 06#include 756

K'th smallest element is 5
77 
K'th smallest element is 5
27

K'th smallest element is 5
4#include 769
K'th smallest element is 5
77 #include 771

Các

C#

cmpfunc[7 

K'th smallest element is 5
12

cmpfunc[7 #include 782

cmpfunc[7 #include 85

K'th smallest element is 5
14 
K'th smallest element is 5
11 
K'th smallest element is 5
12

K'th smallest element is 5
4
K'th smallest element is 5
15 int #include 791int
K'th smallest element is 5
43int____3795

#include 585int 

K'th smallest element is 5
9

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
22int #include 510

K'th smallest element is 5
222int13#include 5#include 417 #include 691#include 63 #include 810

K'th smallest element is 5
22
K'th smallest element is 5
3

#include 06#include 599int#include 816

#include 06

K'th smallest element is 5
75 #include 604

int31

K'th smallest element is 5
5 #include 5int#include 824

#include 06

K'th smallest element is 5
1

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
222____15 #include 532

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
14 
K'th smallest element is 5
15 void 
K'th smallest element is 5
714

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
22int #include 539

K'th smallest element is 5
22int 
K'th smallest element is 5
48

K'th smallest element is 5
22int#include 97

K'th smallest element is 5
22#include 851int
K'th smallest element is 5
43int#include 855

#include 06

K'th smallest element is 5
82
K'th smallest element is 5
40 #include 851int
K'th smallest element is 5
43intint11

K'th smallest element is 5
22#include 00 #include 5int #include 557

#include 06#include 870

#include 083#include 872

#include 083#include 874

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
22int #include 564

K'th smallest element is 5
22#include 881

#include 06#include 567 #include 677#include 569 #include 679

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
1

Độ phức tạp về thời gian: O [n log n] Không gian phụ trợ: O [n]O[N log N]
Auxiliary Space: O[N]

Phần tử nhỏ nhất K K

Để tìm phần tử tối thiểu thứ k trong một mảng, hãy chèn các phần tử vào hàng đợi ưu tiên cho đến khi kích thước của nó nhỏ hơn k, & nbsp; và sau đó so sánh các phần tử còn lại với gốc của hàng đợi ưu tiên và nếu phần tử nhỏ hơn Sau đó loại bỏ gốc và chèn phần tử này vào hàng đợi ưu tiên và cuối cùng trả lại gốc của hàng đợi ưu tiên

Thực hiện theo các bước đã cho để giải quyết vấn đề:

  • Xây dựng một hàng đợi ưu tiên của các phần tử k đầu tiên [ARR [0] thành ARR [K-1]] của mảng đã cho. & Nbsp;
  • Đối với mỗi phần tử, sau phần tử KTH [ARR [K] với ARR [N-1]], so sánh nó với gốc của hàng đợi ưu tiên. & NBSP;
    • Nếu phần tử nhỏ hơn gốc thì hãy xóa gốc và chèn phần tử này vào hàng đợi ưu tiên
    • b] khác bỏ qua nó. & nbsp;
  • Cuối cùng, gốc của hàng đợi ưu tiên là phần tử nhỏ nhất thứ k.

Dưới đây là việc thực hiện phương pháp trên:

C++

cmpfunc[6

cmpfunc[7 cmpfunc[8 cmpfunc[9

int 

K'th smallest element is 5
3int 
K'th smallest element is 5
5int 
K'th smallest element is 5
7int 
K'th smallest element is 5
9

K'th smallest element is 5
3

K'th smallest element is 5
4#include 904int#include 906

K'th smallest element is 5
4#include 00 #include 5int #include 911

K'th smallest element is 5
22#include 913

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4#include 00 #include 5int #include 920

K'th smallest element is 5
222__175 #include 923

#include 06#include 925

#include 06#include 913

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
5 #include 934

K'th smallest element is 5
1

int #include 3

K'th smallest element is 5
3

K'th smallest element is 5
4int #include 941

K'th smallest element is 5
4int #include 944

K'th smallest element is 5
4int #include 42

K'th smallest element is 5
4* a, 9#include 950

K'th smallest element is 5
01
K'th smallest element is 5
02

K'th smallest element is 5
1

Java

K'th smallest element is 5
07 #include 62

K'th smallest element is 5
11 #include 957#include 958 #include 959

K'th smallest element is 5
4#include 961

K'th smallest element is 5
4
K'th smallest element is 5
14 int #include 965

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
22int #include 970

K'th smallest element is 5
22
K'th smallest element is 5
75 #include 973#include 04#include 14

#include 06

K'th smallest element is 5
5 
K'th smallest element is 5
72
K'th smallest element is 5
27
K'th smallest element is 5
56

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
22#include 762 
K'th smallest element is 5
75 #include 986#include 04#include 14

#include 06

K'th smallest element is 5
5 
K'th smallest element is 5
27
K'th smallest element is 5
56

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
22#include 762 
K'th smallest element is 5
3

#include 06

K'th smallest element is 5
5 #include 04
K'th smallest element is 5
56

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
1

K'th smallest element is 5
11 
K'th smallest element is 5
12

K'th smallest element is 5
4
K'th smallest element is 5
15 int

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
22#include 022

#include 06

K'th smallest element is 5
82
K'th smallest element is 5
40 #include 026

int31

K'th smallest element is 5
40 #include 029

K'th smallest element is 5
22#include 00 #include 5int #include 03#include 04#include 036

#include 06#include 038

#include 06

K'th smallest element is 5
75 #include 041

int31#include 043

#include 06

K'th smallest element is 5
1

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
222____15 #include 050

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
14 
K'th smallest element is 5
15 void 
K'th smallest element is 5
35

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
22int#include 062

Các

K'th smallest element is 5
22int #include 089

K'th smallest element is 5
22int 
K'th smallest element is 5
54#include 91
K'th smallest element is 5
56

K'th smallest element is 5
22#include 674#include 097

K'th smallest element is 5
777#include 099

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
1

Python3

K'th smallest element is 5
07 #include 104

K'th smallest element is 5
65 
K'th smallest element is 5
66

K'th smallest element is 5
4#include 108
K'th smallest element is 5
77 #include 110

K'th smallest element is 5
4#include 00 int16#include 63 
K'th smallest element is 5
250#include 116

K'th smallest element is 5
22#include 118

K'th smallest element is 5
22#include 120

K'th smallest element is 5
4#include 00 int16#include 63 
K'th smallest element is 5
250
K'th smallest element is 5
428

K'th smallest element is 5
222__175 #include 129#include 04#include 131

#include 06#include 133

#include 06#include 118

#include 06#include 120

K'th smallest element is 5
4
K'th smallest element is 5
5 #include 140#include 04
K'th smallest element is 5
74

K'th smallest element is 5
75 
K'th smallest element is 5
76
K'th smallest element is 5
77
K'th smallest element is 5
77 #include 247
K'th smallest element is 5
80

K'th smallest element is 5
4
K'th smallest element is 5
96
K'th smallest element is 5
77 #include 065

K'th smallest element is 5
4
K'th smallest element is 5
82
K'th smallest element is 5
77 
K'th smallest element is 5
84#include 065
K'th smallest element is 5
43__

K'th smallest element is 5
4______2017177 #include 91

K'th smallest element is 5
4
K'th smallest element is 5
05#include 5#include 184
K'th smallest element is 5
293

C#

cmpfunc[7 

K'th smallest element is 5
12

cmpfunc[7 #include 85

K'th smallest element is 5
11 
K'th smallest element is 5
12

K'th smallest element is 5
4
K'th smallest element is 5
15 int

K'th smallest element is 5
4
K'th smallest element is 5
3

Các

K'th smallest element is 5
22#include 00 #include 5int #include 911

#include 06#include 218

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
22#include 00 #include 5int #include 920

#include 06

K'th smallest element is 5
75 #include 228

int31#include 230

int31#include 232

int31#include 234

int31#include 218

#include 06

K'th smallest element is 5
1

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
222____15 #include 243

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
14 
K'th smallest element is 5
15 void 
K'th smallest element is 5
37

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
22int#include 062

#include 06#include 257

K'th smallest element is 5
22int #include 260

K'th smallest element is 5
22int #include 42

K'th smallest element is 5
22#include 881#include 097

#include 267#include 099

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
1

Độ phức tạp về thời gian: O [k log k + & nbsp; [n - k] log k] Không gian phụ trợ: O [k] O[K log K +  [N – K] log K]
Auxiliary Space: O[K]

Phần tử nhỏ nhất K K

Ý tưởng để giải quyết vấn đề này là phần tử nhỏ nhất KTH sẽ là phần tử ở vị trí KTH nếu mảng được sắp xếp theo thứ tự tăng lên. Sử dụng logic này, tìm kiếm nhị phân có thể được sử dụng để dự đoán chỉ số của một phần tử như thể mảng được sắp xếp nhưng không thực sự sắp xếp mảng. & NBSP; & nbsp;
 

Thực hiện theo các bước đã cho để giải quyết vấn đề:

  • Tìm thấp và cao đó là phạm vi mà câu trả lời của chúng tôi có thể nói dối. & NBSP;
  • Áp dụng tìm kiếm nhị phân trên phạm vi này. & NBSP;
  • Nếu phần tử được chọn sẽ có MID có ít hơn các phần tử K thấp hơn thì sẽ tăng số lượng islow = mid + 1.low = mid + 1.
  • Nếu không, giảm con trỏ cao, tức là cao = mid
  • Tìm kiếm nhị phân sẽ kết thúc khi chỉ còn lại một phần tử trong không gian trả lời sẽ là câu trả lời.

Dưới đây là việc thực hiện phương pháp trên:

C++

cmpfunc[6

int46

cmpfunc[7 cmpfunc[8 cmpfunc[9

int #include 278int#include 280int#include 282

K'th smallest element is 5
3

K'th smallest element is 5
4int #include 286

K'th smallest element is 5
4#include 00 #include 5int #include 291

K'th smallest element is 5
222__175 #include 294

#include 06#include 296

K'th smallest element is 5
4
K'th smallest element is 5
5 #include 299

K'th smallest element is 5
1

int #include 302int#include 30430____5#include 306

K'th smallest element is 5
3

K'th smallest element is 5
4int #include 310

K'th smallest element is 5
4int #include 313

K'th smallest element is 5
4#include 00 #include 5int #include 318

K'th smallest element is 5
22#include 320

K'th smallest element is 5
22#include 322

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4#include 11 #include 327

K'th smallest element is 5
22int #include 330

K'th smallest element is 5
222__175 #include 333

#include 06#include 335

K'th smallest element is 5
22#include 762

#include 06#include 339

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
5 #include 344

K'th smallest element is 5
1

int #include 3

K'th smallest element is 5
3

K'th smallest element is 5
4#include 544int#include 352

K'th smallest element is 5
4int #include 488

K'th smallest element is 5
4* a, 9
K'th smallest element is 5
00

K'th smallest element is 5
01#include 360

K'th smallest element is 5
4
K'th smallest element is 5
5 cmpfunc[4

K'th smallest element is 5
1

Java

K'th smallest element is 5
07 
K'th smallest element is 5
08

K'th smallest element is 5
07 
K'th smallest element is 5
10

K'th smallest element is 5
11 
K'th smallest element is 5
12

K'th smallest element is 5
4
K'th smallest element is 5
15 int #include 374__

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
22int #include 383#include 04
K'th smallest element is 5
56

K'th smallest element is 5
22#include 00 #include 5int #include 03#include 04#include 392

#include 06

K'th smallest element is 5
75 #include 294

int31#include 296

K'th smallest element is 5
222____15 #include 299

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
15 int

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
22int #include 415

K'th smallest element is 5
22int #include 418

K'th smallest element is 5
22#include 00 #include 5int #include 03#include 04#include 425

#include 06#include 427

#include 06#include 429

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
22#include 11 #include 327

#include 06int #include 437

K'th smallest element is 5
55
K'th smallest element is 5
56

#include 06

K'th smallest element is 5
75 #include 333

int31#include 444

K'th smallest element is 5
27
K'th smallest element is 5
56

#include 06#include 762

int31#include 339

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
222____15 #include 344

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
14 
K'th smallest element is 5
15 void 
K'th smallest element is 5
35

K'th smallest element is 5
4
K'th smallest element is 5
3

Các

K'th smallest element is 5
22int #include 482____
K'th smallest element is 5
44
K'th smallest element is 5
56

K'th smallest element is 5
222v158#include 487

K'th smallest element is 5
60#include 489

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
1

Python3

K'th smallest element is 5
07 #include 140

K'th smallest element is 5
65 #include 496

K'th smallest element is 5
4#include 498
K'th smallest element is 5
77 #include 04

K'th smallest element is 5
4#include 00 int16#include 63 
K'th smallest element is 5
250#include 5
K'th smallest element is 5
98#include 508

K'th smallest element is 5
222
K'th smallest element is 5
75 #include 511
K'th smallest element is 5
77 #include 513

#include 06#include 498

K'th smallest element is 5
085
K'th smallest element is 5
77 
K'th smallest element is 5
27

K'th smallest element is 5
4
K'th smallest element is 5
5 #include 521

K'th smallest element is 5
65 #include 523

K'th smallest element is 5
4#include 525
K'th smallest element is 5
77 #include 205

K'th smallest element is 5
4#include 529
K'th smallest element is 5
77 
K'th smallest element is 5
72#include 532
K'th smallest element is 5
72 
K'th smallest element is 5
27

K'th smallest element is 5
4#include 00 int16#include 63 
K'th smallest element is 5
250#include 5
K'th smallest element is 5
98#include 508

K'th smallest element is 5
222
K'th smallest element is 5
75 #include 511
K'th smallest element is 5
77 #include 513

#include 06#include 498

K'th smallest element is 5
085
K'th smallest element is 5
77 
K'th smallest element is 5
27

K'th smallest element is 5
4
K'th smallest element is 5
5 #include 521

K'th smallest element is 5
65 #include 523

K'th smallest element is 5
4#include 525
K'th smallest element is 5
77 #include 205

K'th smallest element is 5
4#include 529
K'th smallest element is 5
77 
K'th smallest element is 5
72#include 532
K'th smallest element is 5
72 
K'th smallest element is 5
27

K'th smallest element is 5
22#include 762
K'th smallest element is 5
80

K'th smallest element is 5
22#include 525
K'th smallest element is 5
77 #include 546#include 547

K'th smallest element is 5
22#include 529
K'th smallest element is 5
77 #include 551#include 552

K'th smallest element is 5
4#include 11 #include 555

K'th smallest element is 5
222___

K'th smallest element is 5
222__175 #include 569

K'th smallest element is 5
4
K'th smallest element is 5
05#include 5
K'th smallest element is 5
07#include 616

C#

#include 06#include 525

K'th smallest element is 5
77 #include 557__1085 
K'th smallest element is 5
27

#include 06#include 529

K'th smallest element is 5
77 #include 582

K'th smallest element is 5
11 
K'th smallest element is 5
12

K'th smallest element is 5
4
K'th smallest element is 5
15 int #include 374__

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
22int #include 383#include 04
K'th smallest element is 5
56

K'th smallest element is 5
22#include 00 #include 5int #include 03#include 04#include 392

#include 06

K'th smallest element is 5
75 #include 294

int31#include 296

K'th smallest element is 5
222____15 #include 299

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
15 int

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
22int #include 415

K'th smallest element is 5
22int #include 418

K'th smallest element is 5
22#include 00 #include 5int #include 03#include 04#include 425

#include 06#include 673

#include 06#include 675

K'th smallest element is 5
22#include 11 #include 327

K'th smallest element is 5
22#include 11 #include 327

#include 06int #include 437

K'th smallest element is 5
55
K'th smallest element is 5
56

#include 06

K'th smallest element is 5
75 #include 333

int31#include 335

#include 06#include 762

int31#include 339

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
222____15 #include 344

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4
K'th smallest element is 5
14 
K'th smallest element is 5
15 void 
K'th smallest element is 5
35

K'th smallest element is 5
4
K'th smallest element is 5
3

K'th smallest element is 5
22int#include 709

Các

K'th smallest element is 5
22#include 881#include 097

#include 267#include 717

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
1

K'th smallest element is 5
22int #include 482____
K'th smallest element is 5
44
K'th smallest element is 5
56

K'th smallest element is 5
222v158#include 487

K'th smallest element is 5
4
K'th smallest element is 5
3

#include 06#include 417 #include 286

#include 06#include 00#include 5#include 417 #include 733

#include 734

K'th smallest element is 5
75#include 294

#include 737#include 296

#include 06

K'th smallest element is 5
5 #include 299

K'th smallest element is 5
4
K'th smallest element is 5
1

________ 14 ________ 260 & nbsp; #include 746

K'th smallest element is 5
222#include 417 #include 749

K'th smallest element is 5
222#include 417 #include 752

K'th smallest element is 5
222#include 00#include 5#include 417 #include 733

K'th smallest element is 5
22
K'th smallest element is 5
3

#include 06#include 427

#include 06#include 429

K'th smallest element is 5
222

K'th smallest element is 5
22#include 11#include 768

K'th smallest element is 5
22
K'th smallest element is 5
3

#include 06#include 417 #include 773

#include 06

K'th smallest element is 5
75#include 333

#include 734#include 335

#include 06#include 762

int31#include 339

K'th smallest element is 5
22
K'th smallest element is 5
1

K'th smallest element is 5
222____15 #include 344

K'th smallest element is 5
4
K'th smallest element is 5
1

K'th smallest element is 5
4#include 417 #include 488

K'th smallest element is 5
4#include 417 #include 795

K'th smallest element is 5
4#include 20
K'th smallest element is 5
00 #include 799

Độ phức tạp về thời gian: O [N * log [MX-MN]], trong đó Mn là tối thiểu và MX là tối đa. O[n * log [mx-mn]], where mn be minimum and mx be maximum.
Auxiliary Space: O[1]

Next:

  • Kiễu yếu tố nhỏ nhất/lớn nhất trong mảng chưa được phân loại | Đặt 2 [thời gian tuyến tính dự kiến] & nbsp;
  • Kiễu yếu tố nhỏ nhất/lớn nhất trong mảng chưa được phân loại | Đặt 3 [thời gian tuyến tính trong trường hợp xấu nhất]

Yếu tố lớn nhất Kth trong một mảng là gì?

Nếu chúng ta sắp xếp mảng theo thứ tự tăng dần, phần tử KTH của một mảng sẽ là phần tử nhỏ nhất thứ k. Để tìm phần tử lớn nhất thứ k, chúng ta có thể vượt qua k = độ dài [mảng] - k.k= length[Array] – k.

Làm thế nào để bạn tìm thấy phần tử KTH của một mảng?

Phần tử nhỏ nhất của K'th trong một mảng chưa được phân loại bằng cách sử dụng sắp xếp: Sắp xếp mảng đã cho và trả về phần tử tại Index K-1 trong mảng được sắp xếp.Thực hiện theo các bước đã cho để giải quyết vấn đề: Sắp xếp mảng đầu vào theo thứ tự ngày càng tăng.Trả về phần tử tại chỉ mục K-1 [lập chỉ mục dựa trên 0] trong mảng được sắp xếp.Sort the given array and return the element at index K-1 in the sorted array. Follow the given steps to solve the problem: Sort the input array in the increasing order. Return the element at the K-1 index [0 – Based indexing] in the sorted array.

Làm thế nào để bạn tìm thấy lớn nhất trong một mảng trong Python?

Bước 1: Khai báo và khởi tạo một mảng.Bước 2: Lưu trữ phần tử đầu tiên trong biến tối đa biến.Bước 3: Vòng lặp qua mảng từ 0 đến chiều dài của mảng và so sánh giá trị tối đa với các phần tử của mảng.Bước 4: Nếu bất kỳ phần tử nào lớn hơn tối đa, MAX sẽ giữ giá trị của phần tử đó.

Kth trong Python là gì?

Yếu tố lớn nhất trong một mảng.Cho một num mảng số nguyên và số nguyên K, trả lại phần tử lớn nhất thứ k trong mảng.Lưu ý rằng đó là phần tử lớn nhất theo thứ tự được sắp xếp, không phải là phần tử khác biệt thứ k.Bạn phải giải quyết nó trong độ phức tạp thời gian O [n].Ví dụ 1: Đầu vào: Nums = [3,2,1,5,6,4], K = 2 Đầu ra: 5.Largest Element in an Array. Given an integer array nums and an integer k , return the kth largest element in the array. Note that it is the kth largest element in the sorted order, not the kth distinct element. You must solve it in O[n] time complexity. Example 1: Input: nums = [3,2,1,5,6,4], k = 2 Output: 5.

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