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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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@@ -6,11 +6,11 @@
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/* Recursion */
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function recur(n) {
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// Termination condition
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// Base case
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if (n === 1) return 1;
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// Recurse: recursive call
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// Recurse: make a recursive call
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const 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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@@ -19,14 +19,14 @@ function forLoopRecur(n) {
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// Use an explicit stack to simulate the system call stack
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const stack = [];
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let res = 0;
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// Recurse: recursive call
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// Recurse: make a recursive call
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for (let 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.length) {
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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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@@ -35,35 +35,35 @@ function forLoopRecur(n) {
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/* Tail recursion */
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function tailRecur(n, res) {
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// Termination condition
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// Base case
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if (n === 0) 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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function fib(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) 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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const 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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const n = 5;
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let res;
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res = recur(n);
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console.log(`Recursion sum result res = ${res}`);
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console.log(`Sum from the recursive function: res = ${res}`);
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res = forLoopRecur(n);
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console.log(`Using iteration to simulate recursion sum result res = ${res}`);
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console.log(`Sum from simulating recursion with iteration: res = ${res}`);
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res = tailRecur(n, 0);
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console.log(`Tail recursion sum result res = ${res}`);
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console.log(`Sum from the tail-recursive function: res = ${res}`);
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res = fib(n);
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console.log(`The ${n}th Fibonacci number is ${res}`);
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console.log(`Fibonacci term ${n} is ${res}`);
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