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Retranslate the complete English edition from Simplified Chinese (#2010)
* Retranslate the complete English edition from Simplified Chinese * Polish three English explanations after reader-focused review
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@@ -11,12 +11,12 @@ import java.util.Stack;
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public class recursion {
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/* Recursion */
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static int recur(int n) {
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// Termination condition
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// Base case
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if (n == 1)
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return 1;
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// Recurse: recursive call
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// Recurse: make a recursive call
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int res = recur(n - 1);
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// Return: return result
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// Unwind: return the result
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return n + res;
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}
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@@ -25,14 +25,14 @@ public class recursion {
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// Use an explicit stack to simulate the system call stack
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Stack<Integer> stack = new Stack<>();
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int res = 0;
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// Recurse: recursive call
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// Recurse: make a recursive call
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for (int i = n; i > 0; i--) {
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// Simulate "recurse" with "push"
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// Simulate recursive calls by pushing onto the stack
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stack.push(i);
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}
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// Return: return result
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// Unwind: return the result
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while (!stack.isEmpty()) {
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// Simulate "return" with "pop"
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// Simulate unwinding by popping from the stack
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res += stack.pop();
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}
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// res = 1+2+3+...+n
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@@ -41,39 +41,39 @@ public class recursion {
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/* Tail recursion */
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static int tailRecur(int n, int res) {
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// Termination condition
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// Base case
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if (n == 0)
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return res;
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// Tail recursive call
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// Tail-recursive call
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return tailRecur(n - 1, res + n);
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}
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/* Fibonacci sequence: recursion */
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static int fib(int n) {
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// Termination condition f(1) = 0, f(2) = 1
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// Base cases: f(1) = 0, f(2) = 1
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if (n == 1 || n == 2)
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return n - 1;
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// Recursive call f(n) = f(n-1) + f(n-2)
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// Recursive calls: f(n) = f(n-1) + f(n-2)
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int res = fib(n - 1) + fib(n - 2);
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// Return result f(n)
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// Return the result f(n)
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return res;
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}
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/* Driver Code */
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/* Driver code */
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public static void main(String[] args) {
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int n = 5;
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int res;
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res = recur(n);
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System.out.println("\nRecursive function sum result res = " + res);
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System.out.println("\nSum from recursion: res = " + res);
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res = forLoopRecur(n);
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System.out.println("\nUsing iteration to simulate recursive sum result res = " + res);
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System.out.println("\nSum from simulating recursion with iteration: res = " + res);
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res = tailRecur(n, 0);
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System.out.println("\nTail recursive function sum result res = " + res);
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System.out.println("\nSum from tail recursion: res = " + res);
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res = fib(n);
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System.out.println("\nThe " + n + "th term of the Fibonacci sequence is " + res);
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System.out.println("\nFibonacci term " + n + " is " + res);
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}
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}
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