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@ -831,16 +831,7 @@ $$
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=== "C"
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```c title="time_complexity.c"
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/* 常数阶 */
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int constant(int n) {
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int count = 0;
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int size = 100000;
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int i = 0;
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for (int i = 0; i < size; i++) {
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count ++;
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}
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return count;
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}
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[class]{}-[func]{constant}
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```
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=== "C#"
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@ -904,14 +895,7 @@ $$
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=== "C"
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```c title="time_complexity.c"
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/* 线性阶 */
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int linear(int n) {
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int count = 0;
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for (int i = 0; i < n; i++) {
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count ++;
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}
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return count;
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}
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[class]{}-[func]{linear}
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```
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=== "C#"
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@ -977,15 +961,7 @@ $$
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=== "C"
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```c title="time_complexity.c"
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/* 线性阶(遍历数组) */
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int arrayTraversal(int *nums, int n) {
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int count = 0;
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// 循环次数与数组长度成正比
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for (int i = 0; i < n; i++) {
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count ++;
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}
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return count;
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}
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[class]{}-[func]{arrayTraversal}
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```
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=== "C#"
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@ -1049,17 +1025,7 @@ $$
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=== "C"
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```c title="time_complexity.c"
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/* 平方阶 */
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int quadratic(int n) {
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int count = 0;
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// 循环次数与数组长度成平方关系
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for (int i = 0; i < n; i++) {
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for (int j = 0; j < n; j++) {
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count ++;
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}
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}
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return count;
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}
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[class]{}-[func]{quadratic}
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```
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=== "C#"
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@ -1129,26 +1095,7 @@ $$
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=== "C"
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```c title="time_complexity.c"
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/* 平方阶(冒泡排序) */
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int bubbleSort(int *nums, int n) {
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int count = 0; // 计数器
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// 外循环:待排序元素数量为 n-1, n-2, ..., 1
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for (int i = n - 1; i > 0; i--) {
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// 内循环:冒泡操作
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for (int j = 0; j < i; j++) {
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if (nums[j] > nums [j + 1])
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{
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// 交换 nums[j] 与 nums[j + 1]
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int tmp = nums[j];
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nums[j] = nums[j + 1];
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nums[j + 1] = tmp;
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count += 3; // 元素交换包含 3 个单元操作
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}
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}
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}
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return count;
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}
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[class]{}-[func]{bubbleSort}
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```
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=== "C#"
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@ -1216,20 +1163,7 @@ $$
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=== "C"
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```c title="time_complexity.c"
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/* 指数阶(循环实现) */
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int exponential(int n) {
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int count = 0;
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int bas = 1;
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// cell 每轮一分为二,形成数列 1, 2, 4, 8, ..., 2^(n-1)
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for (int i = 0; i < n; i++) {
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for (int j = 0; j < bas; j++) {
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count++;
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}
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bas *= 2;
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}
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// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1
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return count;
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}
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[class]{}-[func]{exponential}
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```
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=== "C#"
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@ -1295,11 +1229,7 @@ $$
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=== "C"
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```c title="time_complexity.c"
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/* 指数阶(递归实现) */
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int expRecur(int n) {
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if (n == 1) return 1;
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return expRecur(n - 1) + expRecur(n - 1) + 1;
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}
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[class]{}-[func]{expRecur}
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```
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=== "C#"
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@ -1367,15 +1297,7 @@ $$
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=== "C"
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```c title="time_complexity.c"
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/* 对数阶(循环实现) */
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int logarithmic(float n) {
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int count = 0;
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while (n > 1) {
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n = n / 2;
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count++;
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}
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return count;
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}
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[class]{}-[func]{logarithmic}
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```
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=== "C#"
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@ -1441,11 +1363,7 @@ $$
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=== "C"
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```c title="time_complexity.c"
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/* 对数阶(递归实现) */
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int logRecur(float n) {
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if (n <= 1) return 0;
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return logRecur(n / 2) + 1;
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}
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[class]{}-[func]{logRecur}
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```
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=== "C#"
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@ -1511,16 +1429,7 @@ $$
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=== "C"
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```c title="time_complexity.c"
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/* 线性对数阶 */
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int linearLogRecur(float n) {
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if (n <= 1) return 1;
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int count = linearLogRecur(n / 2) +
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linearLogRecur(n / 2);
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for (int i = 0; i < n; i++) {
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count ++;
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}
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return count;
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}
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[class]{}-[func]{linearLogRecur}
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```
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=== "C#"
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@ -1594,15 +1503,7 @@ $$
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=== "C"
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```c title="time_complexity.c"
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/* 阶乘阶(递归实现) */
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int factorialRecur(int n) {
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if (n == 0) return 1;
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int count = 0;
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for (int i = 0; i < n; i++) {
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count += factorialRecur(n - 1);
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}
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return count;
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}
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[class]{}-[func]{factorialRecur}
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```
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=== "C#"
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