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Binary Search.

BS Mind

排除法找二分

边界收缩问题

限制条件

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public int binarySearch(int[] array, int des) {
int low = 0, high = array.length - 1;
while (low <= high) {
int mid = low + (high - low) / 2;//int mid = (left + right) >> 1;
if (des == array[mid]) {
return mid;
} else if (des < array[mid]) {
high = mid - 1;
} else {
low = mid + 1;
}
}
return -1;
}
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public class Solution {

public int mySqrt(int x) {
if (x == 0) {
return 0;
}
// 注意:针对特殊测试用例,例如 2147395599
// 要把搜索的范围设置成长整型
long left = 1;
long right = x / 2;
while (left < right) {
// 注意:这里一定取右中位数,如果取左中位数,代码会进入死循环
// long mid = left + (right - left + 1) / 2;
long mid = (left + right + 1) >>> 1;
long square = mid * mid;
if (square > x) {
right = mid - 1;
} else {
left = mid;
}
}
// 因为一定存在,因此无需后处理
return (int) left;
}

}

二分查找

Binary Search Solution in Leetcode

二分查找细节详解_labuladong