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Bagaimana Anda menemukan jumlah xor di python?

1 years ago
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Kita dapat dengan mudah melakukan ini dengan menelusuri semua bit hasil dan menyetel setiap bit hasil seperti yang diceritakan di atas. Implementasi dilakukan dengan mempertimbangkan angka sebagai bilangan bulat 32-bit

Implementasi C++

int getXOR(int x, int y) {
  int ans = 0;
  for (int i = 0; i <= 31; i++) {
    if (((1 LL << i) & x) != ((1 LL << i) & y)) {
      ans |= (1 LL << i);
    }
  }
  return ans;
}

Implementasi Jawa

public static int getXOR(int x, int y) {
  int res = 0;
  for (int i = 0; i <= 31; i++) {
    if (((1 << i) & x) != ((1 << i) & y)) {
      res |= (1 << i);
    }
  }
  return res;
}
_

Implementasi Python

def getXOR(x, y):
    res = 0
    for i in range(32):
        if ((1 << i) & x) != ((1 << i) & y):
            res |= 1 << i
    return res

Analisis Kompleksitas

  • Kompleksitas Waktu. O(log2(n))
  • Kompleksitas Ruang. O(1)

Pendekatan 2 (Menggunakan operator bitwise lainnya)

Kami dapat mengoptimalkan solusi di atas dengan mensimulasikan operasi XOR tanpa menggunakan for loop sebagai berikut

47
2
47
2 
47
29
47
30
47
31
47
32
47
31
47
34
47
31________3______36 ________3______37

47
2
47
2 
47
40

47
2

47
2
47
43

47
44
47
45

47
9// A Simple C++ program to compute2

// A Simple C++ program to compute_2

 

 

47
_49

Python3




47
_50

47
_51

 

47
_52

47
_53

47
54 
47
55

________3______9

47
57
47
58 std;0     
47
60

 

47
9
47
62

47
9
47
64

________3______9

Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
8 
47
67
47
68 
47
69
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
9std;0
47
72

47
2

47
2
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
8 
47
76
47
68 
47
69
47
79
47
80 
47
09
47
72

47
_7

________3______7

47
57
47
58 
47
57
47
80 
47
89

47
_7

47
9// A Simple C++ program to compute0 
47
57

47
_9

 

47
_95

47
96
47
58 
47
98
47
30
47
31
47
32
47
31
47
3_______34
47
31________3______36 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
06

Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
07
47
58 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
09
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
10

 

Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
11
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
12

 

 

 

Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
_13

C#




Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
_14

// sum of bitwise OR of all pairs

using 

Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
17

 

#include <bits/stdc++.h>7 #include <bits/stdc++.h>8

47
_9

47
_7

47
9
47
0

47
9
47
1

________3______9using6 

47
2 
47
3
47
2 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
31
47
2 
47
7

47
9________3______8

47
2
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
2

47
2
47
2 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
1

47
_9

47
2std;4

47
2std;6

47
2
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
8 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
9
47
2 
47
1

47
7
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
8 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
9
47
2 
47
6

47
11
47
8

47
_9

47
2// A Simple C++ program to compute0 // A Simple C++ program to compute1

47
9// A Simple C++ program to compute2

 

47
9// A Simple C++ program to compute3

47
9
47
22 using6 
47
24 ________39______70

47
_9

47
2
47
2 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
74

47
2
47
2 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
77

47
2

47
2
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
80

47
44
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
82

47
9// A Simple C++ program to compute2

// A Simple C++ program to compute_2

 

 

47
_49

PHP




Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
_87

Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
_88

// sum of bitwise OR of all pairs

 

47
0

47
1

Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
92 
47
3
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
94
47
31
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
96
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
97

47
8

47
_9

47
9
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
2

47
9
47
03 
47
04

 

47
9
47
06

47
9
47
08

47
9
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
6

________3______9

Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
8 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
9
47
14 
47
04
47
14 
47
17
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
96std;1________3______14________3______21

47
2
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
8 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
9
47
25 
47
58
47
14 
47
28
47
25 _______________17____39___
47
_____56111111117_________________________________________________________________________________________________________________________________________________________________________________________________________________________

________3______7

47
03 
47
37
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
94________3______98
47
14
47
41
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
94
47
98________3______25
47
_45

 

47
9// A Simple C++ program to compute0 
47
03std;1

// A Simple C++ program to compute_2

 

47
9
47
52

________3______9

Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
94 
47
58
47
56
47
57

________3______9

Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
96 
47
58
47
61
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
9
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
94
47
64

________3______9

47
66 
47
3
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
94
47
31
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
96
47
71

 

47
_72

JavaScript




47
_73

47
9
47
75

47
9// sum of bitwise OR of all pairs

 

47
9
47
0

47
9
47
1

47
9________3______83

47
2
47
85
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
2

 

47
2
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
4

47
2
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
6

47
2
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
8 
47
93

47
7
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
8 
47
96

47
11
47
8

 

47
2// A Simple C++ program to compute0 // A Simple C++ program to compute1

47
9// A Simple C++ program to compute2

 

47
9// A Simple C++ program to compute3

47
9// A Simple C++ program to compute07

47
9// A Simple C++ program to compute09

47
9// A Simple C++ program to compute11

 

47
9// A Simple C++ program to compute13

 

// A Simple C++ program to compute_14

// A Simple C++ program to compute_15

Keluaran

47

Solusi Efisien
Solusi Efisien dapat menyelesaikan masalah ini dalam O(n) waktu. Asumsinya di sini adalah bilangan bulat direpresentasikan menggunakan 32 bit
Solusi yang dioptimalkan adalah dengan mencoba manipulasi bit. Untuk mengimplementasikan solusi, kami mempertimbangkan semua bit yang 1 dan yang 0 dan menyimpan hitungannya dalam dua variabel berbeda. Selanjutnya gandakan hitungan tersebut bersama dengan pangkat 2 yang dinaikkan ke posisi bit tersebut. Lakukan ini untuk semua posisi bit angka. Jumlah mereka akan menjadi jawaban kami
Bagaimana ini benar-benar bekerja?

Misalnya, lihat bit paling kanan dari semua angka dalam larik. Misalkan angka memiliki 0-bit paling kanan, dan angka b memiliki 1-bit. Kemudian dari pasangan, a*b dari mereka akan memiliki 1 di bit paling kanan dari XOR. Ini karena ada cara a*b untuk memilih satu angka yang memiliki 0-bit dan yang memiliki 1-bit. Oleh karena itu, bit-bit ini akan berkontribusi a*b terhadap total semua XOR

Secara umum, ketika melihat bit ke-n (di mana bit paling kanan adalah ke-0), hitung berapa banyak angka yang memiliki 0 (sebut ini an) dan berapa banyak yang memiliki 1 (sebut bn ini). Kontribusi terhadap jumlah akhir akan menjadi an*bn*pow(2,n). Anda perlu melakukan ini untuk setiap bit dan menjumlahkan semua kontribusi ini bersama-sama

Ini dapat dilakukan dalam waktu O(kn), di mana k adalah jumlah bit dalam nilai yang diberikan

Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12

BPK




// A Simple C++ program to compute_16

// sum of bitwise OR of all pairs

#include <bits/stdc++.h>

using namespace std;

 

47
0

47
1

// A Simple C++ program to compute24 // A Simple C++ program to compute24 

47
2 // A Simple C++ program to compute27
47
2 
47
5
47
2 
47
7

47
8

________3______9// A Simple C++ program to compute24 // A Simple C++ program to compute24 

47
2 // A Simple C++ program to compute37

47
9
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
8 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
9
47
2 // A Simple C++ program to compute42

47
9________3______8

47
2// A Simple C++ program to compute46

47
2
47
2 // A Simple C++ program to compute49

47
2

47
2// A Simple C++ program to compute52

47
2// A Simple C++ program to compute24 // A Simple C++ program to compute24 
47
2 // A Simple C++ program to compute57

47
2
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
8 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
9
47
2 ________559______62

47
2
47
8

47
7// A Simple C++ program to compute66 // A Simple C++ program to compute67

47
11// A Simple C++ program to compute69

47
7// A Simple C++ program to compute71

47
11// A Simple C++ program to compute73

47
7// A Simple C++ program to compute75

47
2// A Simple C++ program to compute2

47
2

47
2// A Simple C++ program to compute80

47
2// A Simple C++ program to compute82

 

47
2// A Simple C++ program to compute84

47
2// A Simple C++ program to compute86

47
9// A Simple C++ program to compute2

47
9// A Simple C++ program to compute0 // A Simple C++ program to compute91

// A Simple C++ program to compute_2

 

47
2 // A Simple C++ program to compute5

47
8

________3______9// A Simple C++ program to compute24 // A Simple C++ program to compute24 

47
2 // A Simple C++ program to compute37

47
9
47
2 // A Simple C++ program to compute9

________3______9

47
2 // sum of bitwise OR of all pairs2// sum of bitwise OR of all pairs3// sum of bitwise OR of all pairs4// sum of bitwise OR of all pairs3// sum of bitwise OR of all pairs6

47
9// sum of bitwise OR of all pairs12

47
9// sum of bitwise OR of all pairs14

47
9// A Simple C++ program to compute0 #include <bits/stdc++.h>1

// A Simple C++ program to compute_2

Jawa




// sum of bitwise OR of all pairs_19

// sum of bitwise OR of all pairs

#include <bits/stdc++.h>5 #include <bits/stdc++.h>6

 

#include <bits/stdc++.h>7 #include <bits/stdc++.h>8

47
_9

47
9
47
0

47
9
47
1

________3______9using6 // A Simple C++ program to compute24 // A Simple C++ program to compute27

47
2 
47
5
47
2 
47
7

47
9________3______8

47
2// A Simple C++ program to compute24 // sum of bitwise OR of all pairs42std;0std;1

47
2
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
8 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
9
47
2 
47
01std;0// sum of bitwise OR of all pairs51// sum of bitwise OR of all pairs52// sum of bitwise OR of all pairs53

47
2
47
8

47
7// sum of bitwise OR of all pairs57

47
7
47
2 // sum of bitwise OR of all pairs60std;0// sum of bitwise OR of all pairs62std;0std;1

47
_7

47
7// A Simple C++ program to compute52

47
7// A Simple C++ program to compute24 // sum of bitwise OR of all pairs70std;0std;1

47
_7

________3______7

Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
8 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
9
47
2 // sum of bitwise OR of all pairs78std;0
47
10

47
7
47
8

47
11// A Simple C++ program to compute66 // sum of bitwise OR of all pairs85// sum of bitwise OR of all pairs86 // sum of bitwise OR of all pairs87std;0
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
97

________564

47
_559_______69

// sum of bitwise OR of all pairs_90

47
11// A Simple C++ program to compute71

________564

47
_559_______73

47
11// sum of bitwise OR of all pairs98// sum of bitwise OR of all pairs86std;1

47
7// A Simple C++ program to compute2

47
_7

47
7// A Simple C++ program to compute80

47
7#include <bits/stdc++.h>07
47
09 #include <bits/stdc++.h>09

47
_9

47
7#include <bits/stdc++.h>12

47
7// A Simple C++ program to compute86

47
2// A Simple C++ program to compute2

47
2// A Simple C++ program to compute0 // A Simple C++ program to compute91

47
9// A Simple C++ program to compute2

47
_9

47
9
47
52

________3______9

47
22 using6 
47
24 #include <bits/stdc++.h>29

47
9________3______8

47
2// A Simple C++ program to compute24 // sum of bitwise OR of all pairs42std;0std;1

47
2
47
2 
47
29
47
30
47
31
47
32
47
31
47
34
47
31________3______36 ________3______37

47
2
47
2 
47
40

47
2

47
2// sum of bitwise OR of all pairs12

47
2#include <bits/stdc++.h>55

47
9// A Simple C++ program to compute2

// A Simple C++ program to compute_2

 

#include <bits/stdc++.h>_59

Python3




#include <bits/stdc++.h>_60

#include <bits/stdc++.h>_61

 

47
_52

47
_53

47
54 #include <bits/stdc++.h>65

47
_9

47
9#include <bits/stdc++.h>68 
47
58 std;0

________3______9

Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
8 
47
67
47
68 ________3______69
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
9std;0
47
3_______31// sum of bitwise OR of all pairs52________566______80

 

47
2#include <bits/stdc++.h>82

47
2#include <bits/stdc++.h>84
47
58 std;0

47
2#include <bits/stdc++.h>88
47
58 std;0

#include <bits/stdc++.h>_91

47
2#include <bits/stdc++.h>93

47
2#include <bits/stdc++.h>95
47
58 std;0

47
2
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
8 
47
76
47
68 
47
69
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
9std;0using05

________3______7// A Simple C++ program to compute66 using08using09 // sum of bitwise OR of all pairs86 

47
58
47
58 std;0#include <bits/stdc++.h>80

47
11#include <bits/stdc++.h>84
47
58 #include <bits/stdc++.h>84
47
80 
47
09

47
_11

47
7// A Simple C++ program to compute71using24

47
11#include <bits/stdc++.h>88
47
58 #include <bits/stdc++.h>88
47
80 
47
09

47
7using32
47
58 
47
2using08using36 // sum of bitwise OR of all pairs86
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
97

47
2

#include <bits/stdc++.h>_91

47
2using42

47
2#include <bits/stdc++.h>95
47
58 #include <bits/stdc++.h>88using47 #include <bits/stdc++.h>84using47 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
9
47
09 using52

using_53

47
2using55

47
2#include <bits/stdc++.h>68 
47
58 #include <bits/stdc++.h>68 
47
80 using61

47
_9

47
9// A Simple C++ program to compute0 #include <bits/stdc++.h>68

 

 

 

using_66

#include <bits/stdc++.h>68 

47
58 std;0

47
96
47
58 using72
47
30________3______31
47
32
47
31
47
34
47
31________3______36 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
06

Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
07
47
58 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
09
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
10

#include <bits/stdc++.h>68 

47
58 using87

Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
11 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
9#include <bits/stdc++.h>68
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
97

 

using_92

C#




using_93

// sum of bitwise OR of all pairs

using 

Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
17

 

#include <bits/stdc++.h>7 #include <bits/stdc++.h>8

47
_9

47
9
47
0

47
9
47
1

________3______9using6 // A Simple C++ program to compute24 // A Simple C++ program to compute27

47
2 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
31
47
2 
47
7

47
9________3______8

47
2// A Simple C++ program to compute24 // A Simple C++ program to compute37

47
2
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
8 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
9
47
2 ________559______42

47
2
47
8

47
7// sum of bitwise OR of all pairs57

47
7
47
2 // A Simple C++ program to compute49

47
_7

47
7// A Simple C++ program to compute52

47
7// A Simple C++ program to compute24 // A Simple C++ program to compute57

47
_7

47
7
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
8 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
9
47
2 // A Simple C++ program to compute62

47
7
47
8

47
11// A Simple C++ program to compute66 // A Simple C++ program to compute67

________564

47
_559_______69

// sum of bitwise OR of all pairs_90

47
11// A Simple C++ program to compute71

________564

47
_559_______73

47
11// A Simple C++ program to compute75

47
7// A Simple C++ program to compute2

47
_7

47
7// A Simple C++ program to compute80

47
7// A Simple C++ program to compute82

47
_9

47
7#include <bits/stdc++.h>12

47
7// A Simple C++ program to compute86

47
2// A Simple C++ program to compute2

47
2// A Simple C++ program to compute0 // A Simple C++ program to compute91

47
9// A Simple C++ program to compute2

47
_9

47
9
47
52

________3______9

47
22 using6 
47
24 namespace81

47
9________3______8

47
2// A Simple C++ program to compute24 // A Simple C++ program to compute37

47
2
47
2 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
74

47
2
47
2 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
77

47
2

47
2// sum of bitwise OR of all pairs12

47
2namespace97

47
9// A Simple C++ program to compute2

// A Simple C++ program to compute_2

 

std;_01

PHP




Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
_87

std;_03

// sum of bitwise OR of all pairs

 

47
0

47
1

Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
92 // A Simple C++ program to compute27
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
94
47
31
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
96
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
97

47
8

47
9std;15 
47
04

________3______9

Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
8 
Explanation :  arr[] = { 7, 3, 5 }
7 = 1 1 1
3 = 0 1 1
5 = 1 0 1
For bit position 0 : 
Bits with zero = 0
Bits with one = 3
Answer = 0 * 3 * 2 ^ 0 = 0
Similarly, for bit position 1 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 1 = 4
Similarly, for bit position 2 :
Bits with zero = 1
Bits with one = 2
Answer = 1 * 2 * 2 ^ 2 = 8
 Final answer = 0 + 4 + 8 = 12
9
47
14 
47
04
47
14 std;23
47
14
47
21

47
9________3______8

47
2// sum of bitwise OR of all pairs57

47
2std;31 
47
04std;33 
47
04

47
2

47
2std;37

47
2std;39

47
2std;41 
47
58std;33 using47std;31 std;88
47
14
47
64

Bagaimana Anda menemukan jumlah XOR?

Jumlah XOR dari sebuah daftar adalah XOR bitwise dari semua elemennya . Jika daftar hanya berisi satu elemen, jumlah XOR-nya akan sama dengan elemen ini. Misalnya, jumlah XOR dari [1,2,3,4] sama dengan 1 XOR 2 XOR 3 XOR 4 = 4 , dan jumlah XOR dari [3] sama dengan 3.

Bagaimana Anda menemukan XOR suatu elemen dalam daftar dengan Python?

Oleh karena itu, langkah-langkah berikut diikuti untuk menghitung jawabannya. .
Buat variabel untuk menyimpan XOR dari array sebagai hasilnya
Untuk setiap elemen dalam larik, cari XOR elemen dan variabel hasil menggunakan operator '^'
Terakhir, variabel result menyimpan XOR dari semua elemen dalam array

Bagaimana Anda menemukan angka jika XOR mereka diberikan?

Solusi sederhananya adalah melintasi setiap elemen dan memeriksa apakah ada angka lain yang XOR-nya sama dengan x . Solusi ini membutuhkan waktu O(n2). Solusi efisien untuk masalah ini memerlukan waktu O(n). Idenya didasarkan pada fakta bahwa arr[i] ^ arr[j] sama dengan x jika dan hanya jika arr[i] ^ x sama dengan arr[j].

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