|
| 1 | +--- |
| 2 | +comments: true |
| 3 | +difficulty: Easy |
| 4 | +edit_url: https://github.com/doocs/leetcode/edit/main/solution/0300-0399/0338.Counting%20Bits/README_EN.md |
| 5 | +tags: |
| 6 | + - Bit Manipulation |
| 7 | + - Dynamic Programming |
| 8 | +--- |
| 9 | + |
| 10 | +<!-- problem:start --> |
| 11 | + |
| 12 | +# [338. Counting Bits](https://leetcode.com/problems/counting-bits) |
| 13 | + |
| 14 | +[中文文档](/solution/0300-0399/0338.Counting%20Bits/README.md) |
| 15 | + |
| 16 | +## Description |
| 17 | + |
| 18 | +<!-- description:start --> |
| 19 | + |
| 20 | +<p>Given an integer <code>n</code>, return <em>an array </em><code>ans</code><em> of length </em><code>n + 1</code><em> such that for each </em><code>i</code><em> </em>(<code>0 <= i <= n</code>)<em>, </em><code>ans[i]</code><em> is the <strong>number of </strong></em><code>1</code><em><strong>'s</strong> in the binary representation of </em><code>i</code>.</p> |
| 21 | + |
| 22 | +<p> </p> |
| 23 | +<p><strong class="example">Example 1:</strong></p> |
| 24 | + |
| 25 | +<pre> |
| 26 | +<strong>Input:</strong> n = 2 |
| 27 | +<strong>Output:</strong> [0,1,1] |
| 28 | +<strong>Explanation:</strong> |
| 29 | +0 --> 0 |
| 30 | +1 --> 1 |
| 31 | +2 --> 10 |
| 32 | +</pre> |
| 33 | + |
| 34 | +<p><strong class="example">Example 2:</strong></p> |
| 35 | + |
| 36 | +<pre> |
| 37 | +<strong>Input:</strong> n = 5 |
| 38 | +<strong>Output:</strong> [0,1,1,2,1,2] |
| 39 | +<strong>Explanation:</strong> |
| 40 | +0 --> 0 |
| 41 | +1 --> 1 |
| 42 | +2 --> 10 |
| 43 | +3 --> 11 |
| 44 | +4 --> 100 |
| 45 | +5 --> 101 |
| 46 | +</pre> |
| 47 | + |
| 48 | +<p> </p> |
| 49 | +<p><strong>Constraints:</strong></p> |
| 50 | + |
| 51 | +<ul> |
| 52 | + <li><code>0 <= n <= 10<sup>5</sup></code></li> |
| 53 | +</ul> |
| 54 | + |
| 55 | +<p> </p> |
| 56 | +<p><strong>Follow up:</strong></p> |
| 57 | + |
| 58 | +<ul> |
| 59 | + <li>It is very easy to come up with a solution with a runtime of <code>O(n log n)</code>. Can you do it in linear time <code>O(n)</code> and possibly in a single pass?</li> |
| 60 | + <li>Can you do it without using any built-in function (i.e., like <code>__builtin_popcount</code> in C++)?</li> |
| 61 | +</ul> |
| 62 | + |
| 63 | +<!-- description:end --> |
| 64 | + |
| 65 | +## Solutions |
| 66 | + |
| 67 | +<!-- solution:start --> |
| 68 | + |
| 69 | +### Solution 1 |
| 70 | + |
| 71 | +<!-- tabs:start --> |
| 72 | + |
| 73 | +#### Python3 |
| 74 | + |
| 75 | +```python |
| 76 | +class Solution: |
| 77 | + def countBits(self, n: int) -> List[int]: |
| 78 | + return [i.bit_count() for i in range(n + 1)] |
| 79 | +``` |
| 80 | + |
| 81 | +#### Java |
| 82 | + |
| 83 | +```java |
| 84 | +class Solution { |
| 85 | + public int[] countBits(int n) { |
| 86 | + int[] ans = new int[n + 1]; |
| 87 | + for (int i = 0; i <= n; ++i) { |
| 88 | + ans[i] = Integer.bitCount(i); |
| 89 | + } |
| 90 | + return ans; |
| 91 | + } |
| 92 | +} |
| 93 | +``` |
| 94 | + |
| 95 | +#### C++ |
| 96 | + |
| 97 | +```cpp |
| 98 | +class Solution { |
| 99 | +public: |
| 100 | + vector<int> countBits(int n) { |
| 101 | + vector<int> ans(n + 1); |
| 102 | + for (int i = 0; i <= n; ++i) { |
| 103 | + ans[i] = __builtin_popcount(i); |
| 104 | + } |
| 105 | + return ans; |
| 106 | + } |
| 107 | +}; |
| 108 | +``` |
| 109 | +
|
| 110 | +#### Go |
| 111 | +
|
| 112 | +```go |
| 113 | +func countBits(n int) []int { |
| 114 | + ans := make([]int, n+1) |
| 115 | + for i := 0; i <= n; i++ { |
| 116 | + ans[i] = bits.OnesCount(uint(i)) |
| 117 | + } |
| 118 | + return ans |
| 119 | +} |
| 120 | +``` |
| 121 | + |
| 122 | +#### TypeScript |
| 123 | + |
| 124 | +```ts |
| 125 | +function countBits(n: number): number[] { |
| 126 | + const ans: number[] = Array(n + 1).fill(0); |
| 127 | + for (let i = 0; i <= n; ++i) { |
| 128 | + ans[i] = bitCount(i); |
| 129 | + } |
| 130 | + return ans; |
| 131 | +} |
| 132 | + |
| 133 | +function bitCount(n: number): number { |
| 134 | + let count = 0; |
| 135 | + while (n) { |
| 136 | + n &= n - 1; |
| 137 | + ++count; |
| 138 | + } |
| 139 | + return count; |
| 140 | +} |
| 141 | +``` |
| 142 | + |
| 143 | +<!-- tabs:end --> |
| 144 | + |
| 145 | +<!-- solution:end --> |
| 146 | + |
| 147 | +<!-- solution:start --> |
| 148 | + |
| 149 | +### Solution 2 |
| 150 | + |
| 151 | +<!-- tabs:start --> |
| 152 | + |
| 153 | +#### Python3 |
| 154 | + |
| 155 | +```python |
| 156 | +class Solution: |
| 157 | + def countBits(self, n: int) -> List[int]: |
| 158 | + ans = [0] * (n + 1) |
| 159 | + for i in range(1, n + 1): |
| 160 | + ans[i] = ans[i & (i - 1)] + 1 |
| 161 | + return ans |
| 162 | +``` |
| 163 | + |
| 164 | +#### Java |
| 165 | + |
| 166 | +```java |
| 167 | +class Solution { |
| 168 | + public int[] countBits(int n) { |
| 169 | + int[] ans = new int[n + 1]; |
| 170 | + for (int i = 1; i <= n; ++i) { |
| 171 | + ans[i] = ans[i & (i - 1)] + 1; |
| 172 | + } |
| 173 | + return ans; |
| 174 | + } |
| 175 | +} |
| 176 | +``` |
| 177 | + |
| 178 | +#### C++ |
| 179 | + |
| 180 | +```cpp |
| 181 | +class Solution { |
| 182 | +public: |
| 183 | + vector<int> countBits(int n) { |
| 184 | + vector<int> ans(n + 1); |
| 185 | + for (int i = 1; i <= n; ++i) { |
| 186 | + ans[i] = ans[i & (i - 1)] + 1; |
| 187 | + } |
| 188 | + return ans; |
| 189 | + } |
| 190 | +}; |
| 191 | +``` |
| 192 | +
|
| 193 | +#### Go |
| 194 | +
|
| 195 | +```go |
| 196 | +func countBits(n int) []int { |
| 197 | + ans := make([]int, n+1) |
| 198 | + for i := 1; i <= n; i++ { |
| 199 | + ans[i] = ans[i&(i-1)] + 1 |
| 200 | + } |
| 201 | + return ans |
| 202 | +} |
| 203 | +``` |
| 204 | + |
| 205 | +#### TypeScript |
| 206 | + |
| 207 | +```ts |
| 208 | +function countBits(n: number): number[] { |
| 209 | + const ans: number[] = Array(n + 1).fill(0); |
| 210 | + for (let i = 1; i <= n; ++i) { |
| 211 | + ans[i] = ans[i & (i - 1)] + 1; |
| 212 | + } |
| 213 | + return ans; |
| 214 | +} |
| 215 | +``` |
| 216 | + |
| 217 | +<!-- tabs:end --> |
| 218 | + |
| 219 | +<!-- solution:end --> |
| 220 | + |
| 221 | +<!-- problem:end --> |
0 commit comments