Given a non-negative integer x
, compute and return the square root of x
.
Since the return type is an integer, the decimal digits are truncated, and only the integer part of the result is returned.
Note: You are not allowed to use any built-in exponent function or operator, such as pow(x, 0.5)
or x ** 0.5
.
Example 1:
Input: x = 4
Output: 2
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I got mid value from left and right side.
we know that :
square =value*value
=> value = square/value
if value equal mid value, it is mean we got the square root.
if mid>value, it is mean, right side is too large, we should fix to mid-1,
if mid<value, it is mean, left side is to small, we should fix to mid+1,
until we find value equal mid value.
從兩邊邊界(l and r)往目標值集中,
每次都取邊界的中間值(mid),
square=value*value
=>value = square/value,
為了知道是不是已經到了整數的平方根,
將x除每次的mid,
得到的值(ava),如果等於mid,表示找到整數平方根,
mid>ava,則表示右邊邊界需要縮小到mid-1,
mid<ava,則表示左邊邊界需要增加到mid+1,
以此逐漸逼近,直到找到整數平方根。