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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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@@ -7,39 +7,39 @@
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package chapter_searching;
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public class binary_search {
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/* Binary search (closed interval on both sides) */
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/* Binary search (closed interval) */
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static int binarySearch(int[] nums, int target) {
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// Initialize closed interval [0, n-1], i.e., i, j point to the first and last elements of the array
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// Initialize the closed interval [0, n-1], with i and j pointing to the first and last elements
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int i = 0, j = nums.length - 1;
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// Loop, exit when the search interval is empty (empty when i > j)
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// Loop until the search interval is empty (when i > j)
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while (i <= j) {
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int m = i + (j - i) / 2; // Calculate the midpoint index m
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if (nums[m] < target) // This means target is in the interval [m+1, j]
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if (nums[m] < target) // In this case, target must be in [m+1, j] if it exists
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i = m + 1;
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else if (nums[m] > target) // This means target is in the interval [i, m-1]
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else if (nums[m] > target) // In this case, target must be in [i, m-1] if it exists
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j = m - 1;
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else // Found the target element, return its index
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else // The target element was found; return its index
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return m;
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}
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// Target element not found, return -1
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// The target element was not found; return -1
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return -1;
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}
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/* Binary search (left-closed right-open interval) */
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/* Binary search (left-closed, right-open interval) */
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static int binarySearchLCRO(int[] nums, int target) {
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// Initialize left-closed right-open interval [0, n), i.e., i, j point to the first element and last element+1
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// Initialize the left-closed, right-open interval [0, n), with i at the first element and j one past the last
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int i = 0, j = nums.length;
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// Loop, exit when the search interval is empty (empty when i = j)
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// Loop until the search interval is empty (when i = j)
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while (i < j) {
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int m = i + (j - i) / 2; // Calculate the midpoint index m
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if (nums[m] < target) // This means target is in the interval [m+1, j)
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if (nums[m] < target) // In this case, target must be in [m+1, j) if it exists
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i = m + 1;
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else if (nums[m] > target) // This means target is in the interval [i, m)
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else if (nums[m] > target) // In this case, target must be in [i, m) if it exists
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j = m;
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else // Found the target element, return its index
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else // The target element was found; return its index
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return m;
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}
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// Target element not found, return -1
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// The target element was not found; return -1
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return -1;
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}
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@@ -47,11 +47,11 @@ public class binary_search {
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int target = 6;
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int[] nums = { 1, 3, 6, 8, 12, 15, 23, 26, 31, 35 };
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/* Binary search (closed interval on both sides) */
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/* Binary search (closed interval) */
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int index = binarySearch(nums, target);
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System.out.println("Index of target element 6 = " + index);
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/* Binary search (left-closed right-open interval) */
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/* Binary search (left-closed, right-open interval) */
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index = binarySearchLCRO(nums, target);
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System.out.println("Index of target element 6 = " + index);
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}
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