Created
April 21, 2018 21:48
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Find root of number - apply binary search - have a bug, and then fixed on line 29, instead of -1, return start/ 10000.0
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using System; | |
class Solution | |
{ | |
public static double Root(double x, int n) | |
{ | |
if(x < 0 || n <= 0) | |
return -1; | |
int start = 0; | |
int end = (int)(Math.Max(1, x) * 10000); // 0.01 -> 0.1 | |
while(start <= end) | |
{ | |
int middle = start + (end - start)/ 2; | |
// middle - root(x, n) < 0.001 | |
double middleValue = Math.Pow(middle/ 10000.0, n); | |
if(Math.Abs(middleValue - x) < 0.001) /// not true, my anaylisy | |
return middle/ 10000.0; | |
if(middleValue < x) | |
start = middle + 1; | |
else | |
end = middle - 1; | |
} | |
return start/ 10000.0; // x = 7, 0, 0.0001, 0.0002, ..., 1 using binary search 70,000 // bug found in web complier | |
} | |
static void Main(string[] args) | |
{ | |
} | |
} | |
/* | |
keywords: | |
nonegative number x | |
n > 0 integer | |
error of 0.001 | |
ask: root of number, y ^ n = x | |
given example: x = 7, n = 3, find solution: 1.913 | |
Abs(1.917 - root(x, n)) < 0.001 | |
Binary search -> 0.001 | |
0 - 7 lower bound/ upper bound | |
increment value -> 0.0001 | |
70000 to search, logn = 10 * log70 = 60 times | |
*/ |
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