This commit is contained in:
krahets
2023-02-08 04:17:26 +08:00
parent 7f4efa6d5e
commit 0407cc720c
347 changed files with 150 additions and 132904 deletions

View File

@@ -801,14 +801,7 @@ $$
=== "C++"
```cpp title="time_complexity.cpp"
/* 常数阶 */
int constant(int n) {
int count = 0;
int size = 100000;
for (int i = 0; i < size; i++)
count++;
return count;
}
[class]{}-[func]{constant}
```
=== "Python"
@@ -927,13 +920,7 @@ $$
=== "C++"
```cpp title="time_complexity.cpp"
/* 线性阶 */
int linear(int n) {
int count = 0;
for (int i = 0; i < n; i++)
count++;
return count;
}
[class]{}-[func]{linear}
```
=== "Python"
@@ -1045,15 +1032,7 @@ $$
=== "C++"
```cpp title="time_complexity.cpp"
/* 线性阶(遍历数组) */
int arrayTraversal(vector<int>& nums) {
int count = 0;
// 循环次数与数组长度成正比
for (int num : nums) {
count++;
}
return count;
}
[class]{}-[func]{arrayTraversal}
```
=== "Python"
@@ -1175,17 +1154,7 @@ $$
=== "C++"
```cpp title="time_complexity.cpp"
/* 平方阶 */
int quadratic(int n) {
int count = 0;
// 循环次数与数组长度成平方关系
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
count++;
}
}
return count;
}
[class]{}-[func]{quadratic}
```
=== "Python"
@@ -1330,24 +1299,7 @@ $$
=== "C++"
```cpp title="time_complexity.cpp"
/* 平方阶(冒泡排序) */
int bubbleSort(vector<int>& nums) {
int count = 0; // 计数器
// 外循环:待排序元素数量为 n-1, n-2, ..., 1
for (int i = nums.size() - 1; i > 0; i--) {
// 内循环:冒泡操作
for (int j = 0; j < i; j++) {
if (nums[j] > nums[j + 1]) {
// 交换 nums[j] 与 nums[j + 1]
int tmp = nums[j];
nums[j] = nums[j + 1];
nums[j + 1] = tmp;
count += 3; // 元素交换包含 3 个单元操作
}
}
}
return count;
}
[class]{}-[func]{bubbleSort}
```
=== "Python"
@@ -1543,19 +1495,7 @@ $$
=== "C++"
```cpp title="time_complexity.cpp"
/* 指数阶(循环实现) */
int exponential(int n) {
int count = 0, base = 1;
// cell 每轮一分为二,形成数列 1, 2, 4, 8, ..., 2^(n-1)
for (int i = 0; i < n; i++) {
for (int j = 0; j < base; j++) {
count++;
}
base *= 2;
}
// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1
return count;
}
[class]{}-[func]{exponential}
```
=== "Python"
@@ -1716,11 +1656,7 @@ $$
=== "C++"
```cpp title="time_complexity.cpp"
/* 指数阶(递归实现) */
int expRecur(int n) {
if (n == 1) return 1;
return expRecur(n - 1) + expRecur(n - 1) + 1;
}
[class]{}-[func]{expRecur}
```
=== "Python"
@@ -1822,15 +1758,7 @@ $$
=== "C++"
```cpp title="time_complexity.cpp"
/* 对数阶(循环实现) */
int logarithmic(float n) {
int count = 0;
while (n > 1) {
n = n / 2;
count++;
}
return count;
}
[class]{}-[func]{logarithmic}
```
=== "Python"
@@ -1958,11 +1886,7 @@ $$
=== "C++"
```cpp title="time_complexity.cpp"
/* 对数阶(递归实现) */
int logRecur(float n) {
if (n <= 1) return 0;
return logRecur(n / 2) + 1;
}
[class]{}-[func]{logRecur}
```
=== "Python"
@@ -2062,16 +1986,7 @@ $$
=== "C++"
```cpp title="time_complexity.cpp"
/* 线性对数阶 */
int linearLogRecur(float n) {
if (n <= 1) return 1;
int count = linearLogRecur(n / 2) +
linearLogRecur(n / 2);
for (int i = 0; i < n; i++) {
count++;
}
return count;
}
[class]{}-[func]{linearLogRecur}
```
=== "Python"
@@ -2213,16 +2128,7 @@ $$
=== "C++"
```cpp title="time_complexity.cpp"
/* 阶乘阶(递归实现) */
int factorialRecur(int n) {
if (n == 0) return 1;
int count = 0;
// 从 1 个分裂出 n 个
for (int i = 0; i < n; i++) {
count += factorialRecur(n - 1);
}
return count;
}
[class]{}-[func]{factorialRecur}
```
=== "Python"