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To solve the "Search Insert Position" problem in Java with a `Solution` class, we can follow these steps:
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1. Define a `Solution` class.
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2. Define a method named `searchInsert` that takes an integer array `nums` and an integer `target` as input and returns an integer representing the index where `target` would be inserted in order.
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3. Implement binary search to find the insertion position of `target`.
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4. Set the left pointer `left` to 0 and the right pointer `right` to the length of `nums` minus 1.
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5. While `left` is less than or equal to `right`:
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- Calculate the middle index `mid` as `(left + right) / 2`.
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- If `nums[mid]` is equal to `target`, return `mid`.
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- If `target` is less than `nums[mid]`, update `right = mid - 1`.
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- If `target` is greater than `nums[mid]`, update `left = mid + 1`.
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6. If `target` is not found in `nums`, return the value of `left`, which represents the index where `target` would be inserted in order.
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Here's the implementation:
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```java
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publicclassSolution {
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publicintsearchInsert(int[] nums, inttarget) {
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int left =0;
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int right = nums.length -1;
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while (left <= right) {
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int mid = left + (right - left) /2;
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if (nums[mid] == target) {
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return mid;
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} elseif (target < nums[mid]) {
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right = mid -1;
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} else {
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left = mid +1;
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}
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}
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return left;
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}
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}
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```
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This implementation provides a solution to the "Search Insert Position" problem in Java. It returns the index where `target` would be inserted in `nums` using binary search, with a time complexity of O(log n).
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