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scoresSpecial:

public int scoresSpecial(int[] a, int[] b) {
	return largest(a) + largest(b);
}


public int largest(int[] array) {
	int result = 0;
	for (int i = 0; i < array.length; i++)
		if (array[i] % 10 == 0 && array[i] > result)
			result = array[i];
	return result;
}

sumHeights:

public int sumHeights(int[] heights, int start, int end) {
	int sum = 0;
	for (int i = start; i < end; i++)
		sum += Math.abs(heights[i] - heights[i + 1]);
	return sum;
}

sumHeights2:

public int sumHeights2(int[] heights, int start, int end) {
	int sum = 0;
	for (int i = start; i < end; i++)
		if (heights[i] < heights[i + 1])
			sum += (2 * Math.abs(heights[i] - heights[i + 1]));
		else
			sum += Math.abs(heights[i] - heights[i + 1]);
	return sum;
}

bigHeights:

public int bigHeights(int[] heights, int start, int end) {
	int count = 0;
	for (int i = start; i < end; i++)
		if (Math.abs(heights[i] - heights[i + 1]) >= 5) count++;
	return count;
}

userCompare:

public int userCompare(String aName, int aId, String bName, int bId) {
	if (aName.compareTo(bName) < 0) return -1;
	if (aName.equals(bName)) {
		if (aId == bId) return 0;
		if (aId < bId) return -1;
	}
	return 1;
}

mergeTwo:

public String[] mergeTwo(String[] a, String[] b, int n) {
	String[] result = new String[n];
	int indexResult = 0;
	int indexA = 0;
	int indexB = 0;

	while (indexResult < n)
		if (a[indexA].compareTo(b[indexB]) < 0)
			result[indexResult++] = a[indexA++];
		else if (a[indexA].compareTo(b[indexB]) > 0)
			result[indexResult++] = b[indexB++];
		else { // identical strings
			result[indexResult++] = a[indexA++];
			indexB++;
		}
	return result;
}

commonTwo:

public int commonTwo(String[] a, String[] b) {
	int count = 0;
	String lastChecked = null;
	for (int i = 0; i < a.length; i++)
		if (!a[i].equals(lastChecked))
			for (int j = 0; j < b.length; j++)
				if (a[i].equals(b[j])) {
					count++;
					lastChecked = a[i];
					break;
				}
	return count;
}

For further help with Coding Bat (Java), please check out my books. I am also available for tutoring.