namespace Algorithms.Strings.PatternMatching;
/// Implementation Z-block substring search.
///
public static class ZblockSubstringSearch
{
///
/// This algorithm finds all occurrences of a pattern in a text in linear time - O(m+n).
///
public static int FindSubstring(string pattern, string text)
{
var concatStr = $"{pattern}${text}";
var patternLength = pattern.Length;
var n = concatStr.Length;
var zArray = new int[n];
var left = 0;
var right = 0;
for(var i = 1; i < n; i++)
{
if(i > right)
{
left = i;
right = ComputeNewRightValue(concatStr, n, left, i);
zArray[i] = right - left;
right--;
}
else
{
var k = i - left;
if (zArray[k] < (right - i + 1))
{
zArray[i] = zArray[k];
}
else
{
left = i;
right = ComputeNewRightValue(concatStr, n, left, right);
zArray[i] = right - left;
right--;
}
}
}
var found = 0;
foreach(var z_value in zArray)
{
if(z_value == patternLength)
{
found++;
}
}
return found;
}
private static int ComputeNewRightValue(string concatStr, int n, int left, int right)
{
while (right < n && concatStr[right - left].Equals(concatStr[right]))
{
right++;
}
return right;
}
}