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#include <iostream>
#include <vector>
using namespace std;
//Preprocessing Substring sub for KMP-Search
vector<int> kmp_preprocessing(string& sub) {
vector<int> b(sub.size() + 1);
b[0] = -1;
int i = 0, j = -1;
while(i < sub.size()) {
while(j >= 0 && sub[i] != sub[j])
j = b[j];
i++; j++;
b[i] = j;
}
return b;
}
//Searching after Substring sub in s
vector<int> kmp_search(string& s, string& sub) {
vector<int> pre = kmp_preprocessing(sub);
vector<int> result;
int i = 0, j = -1;
while(i < s.size()) {
while(j >= 0 && s[i] != sub[j])
j = pre[j];
i++; j++;
if(j == sub.size()) {
result.push_back(i-j);
j = pre[j];
}
}
return result;
}
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