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package g1301_1400.s1392_longest_happy_prefix;
// #Hard #String #Hash_Function #String_Matching #Rolling_Hash
// #2022_03_17_Time_39_ms_(28.37%)_Space_42.6_MB_(94.23%)
public class Solution {
public String longestPrefix(String s) {
int times = 2;
long prefixHash = 0;
long suffixHash = 0;
long multiplier = 1;
long len = 0;
// use some large prime as a modulo to avoid overflow errors, e.g. 10 ^ 9 + 7.
long mod = 1000000007;
for (int i = 0; i < s.length() - 1; i++) {
prefixHash = (prefixHash * times + s.charAt(i)) % mod;
suffixHash = (multiplier * s.charAt(s.length() - i - 1) + suffixHash) % mod;
if (prefixHash == suffixHash) {
len = (long) i + 1;
}
multiplier = multiplier * times % mod;
}
return s.substring(0, (int) len);
}
}
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