package strings;

import java.math.BigInteger;
import java.util.Random;

public class Hashing {
    static final long multiplier = 131;
    static final Random rnd = new Random();
    static final int mod1 = BigInteger.valueOf((int) (1e9 + rnd.nextInt((int) 1e9))).nextProbablePrime().intValue();
    static final int mod2 = BigInteger.valueOf((int) (1e9 + rnd.nextInt((int) 1e9))).nextProbablePrime().intValue();
    int[] hash1, hash2, p1, p2;

    public Hashing(CharSequence s) {
        int n = s.length();
        hash1 = new int[n + 1];
        hash2 = new int[n + 1];
        p1 = new int[n + 1];
        p2 = new int[n + 1];
        p1[0] = 1;
        p2[0] = 1;

        for (int i = 0; i < n; i++) {
            hash1[i + 1] = (int) ((hash1[i] * multiplier + s.charAt(i)) % mod1);
            hash2[i + 1] = (int) ((hash2[i] * multiplier + s.charAt(i)) % mod2);
            p1[i + 1] = (int) (p1[i] * multiplier % mod1);
            p2[i + 1] = (int) (p2[i] * multiplier % mod2);
        }
    }

    public long getHash(int i, int len) {
        long h1 = (hash1[i + len] + (long) hash1[i] * (mod1 - p1[len])) % mod1;
        long h2 = (hash2[i + len] + (long) hash2[i] * (mod2 - p2[len])) % mod2;
        return (h1 << 32) + h2;
    }

    // random test
    public static void main(String[] args) {
        Random rnd = new Random(1);
        for (int step = 0; step < 1000; step++) {
            int n1 = rnd.nextInt(50);
            String s1 = getRandomString(n1, rnd);
            int n2 = rnd.nextInt(50);
            String s2 = getRandomString(n2, rnd);
            Hashing h1 = new Hashing(s1);
            Hashing h2 = new Hashing(s2);
            for (int k = 0; k < 1000; k++) {
                int i1 = rnd.nextInt(n1 + 1);
                int j1 = rnd.nextInt(n1 - i1 + 1) + i1;
                int i2 = rnd.nextInt(n2 + 1);
                int j2 = rnd.nextInt(n2 - i2 + 1) + i2;
                if (s1.substring(i1, j1).equals(s2.substring(i2, j2))
                    != (h1.getHash(i1, j1 - i1) == h2.getHash(i2, j2 - i2)))
                    throw new RuntimeException();
            }
        }
    }

    static String getRandomString(int n, Random rnd) {
        char[] s = new char[n];
        for (int i = 0; i < n; i++) {
            s[i] = (char) ('a' + rnd.nextInt(3));
        }
        return new String(s);
    }
}