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/**
* Author: Dean
* Date: 2017-11-12
* Source: ??
* Description: Computes the longest prefix which ends at the i-th position
* Status: tested
*/
vector<int> Z(string &s) {
int n = s.size();
int L, R;
L = R = 0;
vector<int> Z(n, 0);
for (int i = 1; i < n; ++i){
if (i < R) Z[i] = min(Z[i-L], R-i);
else Z[i] = 0;
while (Z[i] + i < n and s[Z[i]] == s[i+Z[i]]) ++Z[i];
if (i+Z[i] > R){
L = i;
R = i + Z[i];
}
}
}
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