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| title | type | weight |
|---|---|---|
| 2.15 ✅ Bit Manipulation | docs | 15 |
Bit Manipulation
- 异或的特性。第 136 题，第 268 题，第 389 题，第 421 题，
x ^ 0 = x
x ^ 11111……1111 = ~x
x ^ (~x) = 11111……1111
x ^ x = 0
a ^ b = c => a ^ c = b => b ^ c = a (交换律)
a ^ b ^ c = a ^ (b ^ c) = (a ^ b）^ c (结合律)
- 构造特殊 Mask，将特殊位置放 0 或 1。
将 x 最右边的 n 位清零， x & ( ~0 << n )
获取 x 的第 n 位值(0 或者 1)，(x >> n) & 1
获取 x 的第 n 位的幂值，x & (1 << (n - 1))
仅将第 n 位置为 1，x | (1 << n)
仅将第 n 位置为 0，x & (~(1 << n))
将 x 最高位至第 n 位(含)清零，x & ((1 << n) - 1)
将第 n 位至第 0 位(含)清零，x & (~((1 << (n + 1)) - 1)）
- 有特殊意义的 & 位操作运算。第 260 题，第 201 题，第 318 题，第 371 题，第 397 题，第 461 题，第 693 题，
X & 1 == 1 判断是否是奇数(偶数)
X & = (X - 1) 将最低位(LSB)的 1 清零
X & -X 得到最低位(LSB)的 1
X & ~X = 0
| No. | Title | Solution | Difficulty | TimeComplexity | SpaceComplexity | Favorite | Acceptance |
|---|---|---|---|---|---|---|---|
| 0078 | Subsets | [Go]({{< relref "/ChapterFour/0001~0099/0078.Subsets.md" >}}) | Medium | O(n^2) | O(n) | ❤️ | 66.0% |
| 0136 | Single Number | [Go]({{< relref "/ChapterFour/0100~0199/0136.Single-Number.md" >}}) | Easy | O(n) | O(1) | 66.9% | |
| 0137 | Single Number II | [Go]({{< relref "/ChapterFour/0100~0199/0137.Single-Number-II.md" >}}) | Medium | O(n) | O(1) | ❤️ | 54.3% |
| 0169 | Majority Element | [Go]({{< relref "/ChapterFour/0100~0199/0169.Majority-Element.md" >}}) | Easy | O(n) | O(1) | ❤️ | 60.4% |
| 0187 | Repeated DNA Sequences | [Go]({{< relref "/ChapterFour/0100~0199/0187.Repeated-DNA-Sequences.md" >}}) | Medium | O(n) | O(1) | 41.8% | |
| 0190 | Reverse Bits | [Go]({{< relref "/ChapterFour/0100~0199/0190.Reverse-Bits.md" >}}) | Easy | O(n) | O(1) | ❤️ | 43.0% |
| 0191 | Number of 1 Bits | [Go]({{< relref "/ChapterFour/0100~0199/0191.Number-of-1-Bits.md" >}}) | Easy | O(n) | O(1) | 54.6% | |
| 0201 | Bitwise AND of Numbers Range | [Go]({{< relref "/ChapterFour/0200~0299/0201.Bitwise-AND-of-Numbers-Range.md" >}}) | Medium | O(n) | O(1) | ❤️ | 39.7% |
| 0231 | Power of Two | [Go]({{< relref "/ChapterFour/0200~0299/0231.Power-of-Two.md" >}}) | Easy | O(1) | O(1) | 43.8% | |
| 0260 | Single Number III | [Go]({{< relref "/ChapterFour/0200~0299/0260.Single-Number-III.md" >}}) | Medium | O(n) | O(1) | ❤️ | 65.5% |
| 0268 | Missing Number | [Go]({{< relref "/ChapterFour/0200~0299/0268.Missing-Number.md" >}}) | Easy | O(n) | O(1) | 55.6% | |
| 0318 | Maximum Product of Word Lengths | [Go]({{< relref "/ChapterFour/0300~0399/0318.Maximum-Product-of-Word-Lengths.md" >}}) | Medium | O(n) | O(1) | 52.6% | |
| 0338 | Counting Bits | [Go]({{< relref "/ChapterFour/0300~0399/0338.Counting-Bits.md" >}}) | Medium | O(n) | O(n) | 70.7% | |
| 0342 | Power of Four | [Go]({{< relref "/ChapterFour/0300~0399/0342.Power-of-Four.md" >}}) | Easy | O(n) | O(1) | 42.0% | |
| 0371 | Sum of Two Integers | [Go]({{< relref "/ChapterFour/0300~0399/0371.Sum-of-Two-Integers.md" >}}) | Medium | O(n) | O(1) | 50.6% | |
| 0389 | Find the Difference | [Go]({{< relref "/ChapterFour/0300~0399/0389.Find-the-Difference.md" >}}) | Easy | O(n) | O(1) | 58.1% | |
| 0393 | UTF-8 Validation | [Go]({{< relref "/ChapterFour/0300~0399/0393.UTF-8-Validation.md" >}}) | Medium | O(n) | O(1) | 38.3% | |
| 0397 | Integer Replacement | [Go]({{< relref "/ChapterFour/0300~0399/0397.Integer-Replacement.md" >}}) | Medium | O(n) | O(1) | 33.6% | |
| 0401 | Binary Watch | [Go]({{< relref "/ChapterFour/0400~0499/0401.Binary-Watch.md" >}}) | Easy | O(1) | O(1) | 48.7% | |
| 0405 | Convert a Number to Hexadecimal | [Go]({{< relref "/ChapterFour/0400~0499/0405.Convert-a-Number-to-Hexadecimal.md" >}}) | Easy | O(n) | O(1) | 44.7% | |
| 0421 | Maximum XOR of Two Numbers in an Array | [Go]({{< relref "/ChapterFour/0400~0499/0421.Maximum-XOR-of-Two-Numbers-in-an-Array.md" >}}) | Medium | O(n) | O(1) | ❤️ | 54.5% |
| 0461 | Hamming Distance | [Go]({{< relref "/ChapterFour/0400~0499/0461.Hamming-Distance.md" >}}) | Easy | O(n) | O(1) | 73.3% | |
| 0476 | Number Complement | [Go]({{< relref "/ChapterFour/0400~0499/0476.Number-Complement.md" >}}) | Easy | O(n) | O(1) | 65.2% | |
| 0477 | Total Hamming Distance | [Go]({{< relref "/ChapterFour/0400~0499/0477.Total-Hamming-Distance.md" >}}) | Medium | O(n) | O(1) | 50.7% | |
| 0693 | Binary Number with Alternating Bits | [Go]({{< relref "/ChapterFour/0600~0699/0693.Binary-Number-with-Alternating-Bits.md" >}}) | Easy | O(n) | O(1) | ❤️ | 60.1% |
| 0756 | Pyramid Transition Matrix | [Go]({{< relref "/ChapterFour/0700~0799/0756.Pyramid-Transition-Matrix.md" >}}) | Medium | O(n log n) | O(n) | 55.8% | |
| 0762 | Prime Number of Set Bits in Binary Representation | [Go]({{< relref "/ChapterFour/0700~0799/0762.Prime-Number-of-Set-Bits-in-Binary-Representation.md" >}}) | Easy | O(n) | O(1) | 64.7% | |
| 0784 | Letter Case Permutation | [Go]({{< relref "/ChapterFour/0700~0799/0784.Letter-Case-Permutation.md" >}}) | Medium | O(n) | O(1) | 68.9% | |
| 0898 | Bitwise ORs of Subarrays | [Go]({{< relref "/ChapterFour/0800~0899/0898.Bitwise-ORs-of-Subarrays.md" >}}) | Medium | O(n) | O(1) | 34.6% | |
| 1178 | Number of Valid Words for Each Puzzle | [Go]({{< relref "/ChapterFour/1100~1199/1178.Number-of-Valid-Words-for-Each-Puzzle.md" >}}) | Hard | 39.9% | |||
| 1290 | Convert Binary Number in a Linked List to Integer | [Go]({{< relref "/ChapterFour/1200~1299/1290.Convert-Binary-Number-in-a-Linked-List-to-Integer.md" >}}) | Easy | 81.6% | |||
| 1310 | XOR Queries of a Subarray | [Go]({{< relref "/ChapterFour/1300~1399/1310.XOR-Queries-of-a-Subarray.md" >}}) | Medium | 69.5% | |||
| 1461 | Check If a String Contains All Binary Codes of Size K | [Go]({{< relref "/ChapterFour/1400~1499/1461.Check-If-a-String-Contains-All-Binary-Codes-of-Size-K.md" >}}) | Medium | 54.3% | |||
| 1486 | XOR Operation in an Array | [Go]({{< relref "/ChapterFour/1400~1499/1486.XOR-Operation-in-an-Array.md" >}}) | Easy | 84.0% | |||
| 1720 | Decode XORed Array | [Go]({{< relref "/ChapterFour/1700~1799/1720.Decode-XORed-Array.md" >}}) | Easy | 85.2% | |||
| 1734 | Decode XORed Permutation | [Go]({{< relref "/ChapterFour/1700~1799/1734.Decode-XORed-Permutation.md" >}}) | Medium | 55.4% | |||
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