g1901_2000.s1923_longest_common_subpath.Solution Maven / Gradle / Ivy
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Java Solution for LeetCode algorithm problems, continually updating
package g1901_2000.s1923_longest_common_subpath;
// #Hard #Array #Binary_Search #Hash_Function #Rolling_Hash #Suffix_Array
// #2022_05_15_Time_517_ms_(73.88%)_Space_209.3_MB_(50.00%)
import java.util.HashSet;
@SuppressWarnings("java:S1172")
public class Solution {
private static final long BASE = 100001;
private static final long MOD = (long) (Math.pow(10, 11) + 7);
private long[] pow;
public int longestCommonSubpath(int n, int[][] paths) {
int res = 0;
int min = Integer.MAX_VALUE;
for (int[] path : paths) {
min = Math.min(min, path.length);
}
pow = new long[min + 1];
pow[0]++;
for (int i = 1; i <= min; i++) {
pow[i] = (pow[i - 1] * BASE) % MOD;
}
int st = 1;
int end = min;
int mid = (st + end) / 2;
while (st <= end) {
if (commonSubstring(paths, mid)) {
res = mid;
st = mid + 1;
} else {
end = mid - 1;
}
mid = (st + end) / 2;
}
return res;
}
private boolean commonSubstring(int[][] paths, int l) {
HashSet set = rollingHash(paths[0], l);
for (int i = 1, n = paths.length; i < n; i++) {
set.retainAll(rollingHash(paths[i], l));
if (set.isEmpty()) {
return false;
}
}
return true;
}
private HashSet rollingHash(int[] a, int l) {
HashSet set = new HashSet<>();
long hash = 0;
for (int i = 0; i < l; i++) {
hash = (hash * BASE + a[i]) % MOD;
}
set.add(hash);
for (int n = a.length, curr = l, prev = 0; curr < n; prev++, curr++) {
hash = (((hash * BASE) % MOD - (a[prev] * pow[l]) % MOD + a[curr]) + MOD) % MOD;
set.add(hash);
}
return set;
}
}