description: Polycarp has a string s. Polycarp performs the following actions until the string s is empty (t is initially an empty string):
  
    * he adds to the right to the string t the string s, i.e. he does t = t + s, where t + s is a concatenation of the strings t and s; 
    * he selects an arbitrary letter of s and removes from s all its occurrences (the selected letter must occur in the string s at the moment of performing this action). 
  
  
  
  Polycarp performs this sequence of actions strictly in this order.
  
  Note that after Polycarp finishes the actions, the string s will be empty and the string t will be equal to some value (that is undefined and depends on the order of removing).
  
  E.g. consider s="abacaba" so the actions may be performed as follows:
  
    * t="abacaba", the letter 'b' is selected, then s="aacaa"; 
    * t="abacabaaacaa", the letter 'a' is selected, then s="c"; 
    * t="abacabaaacaac", the letter 'c' is selected, then s="" (the empty string). 
  
  
  
  You need to restore the initial value of the string s using only the final value of t and find the order of removing letters from s.
  
  Input
  
  The first line contains one integer T (1 ≤ T ≤ 10^4) — the number of test cases. Then T test cases follow.
  
  Each test case contains one string t consisting of lowercase letters of the Latin alphabet. The length of t doesn't exceed 5 ⋅ 10^5. The sum of lengths of all strings t in the test cases doesn't exceed 5 ⋅ 10^5.
  
  Output
  
  For each test case output in a separate line:
  
    * -1, if the answer doesn't exist; 
    * two strings separated by spaces. The first one must contain a possible initial value of s. The second one must contain a sequence of letters — it's in what order one needs to remove letters from s to make the string t. E.g. if the string "bac" is outputted, then, first, all occurrences of the letter 'b' were deleted, then all occurrences of 'a', and then, finally, all occurrences of 'c'. If there are multiple solutions, print any one. 
  
  Example
  
  Input
  
  
  7
  abacabaaacaac
  nowyouknowthat
  polycarppoycarppoyarppyarppyrpprppp
  isi
  everywherevrywhrvryhrvrhrvhv
  haaha
  qweqeewew
  
  
  Output
  
  
  abacaba bac
  -1
  polycarp lcoayrp
  is si
  everywhere ewyrhv
  -1
  -1
  
  Note
  
  The first test case is considered in the statement.
solution: //Utilities
  import java.io.*;
  import java.util.*;
  
  public class B {
  	static int t;
  	static int n;
  	static char[] a;
  	static int[][] psa;
  	static ArrayList<Integer>[] pos;
  	static HashSet<Character> set;
  	static String order;
  	
  	public static void main(String[] args) throws IOException {
  		t = in.iscan();
  		outer : while (t-- > 0) {
  			a = in.sscan().toCharArray(); n = a.length;
  			psa = new int[n][26]; pos = new ArrayList[26];
  			for (int i = 0; i < 26; i++) {
  				pos[i] = new ArrayList();
  			}
  			for (int i = 0; i < n; i++) {
  				psa[i][a[i]-'a']++;
  				pos[a[i]-'a'].add(i);
  				if (i > 0) {
  					for (int j = 0; j < 26; j++) {
  						psa[i][j] += psa[i-1][j];
  					}
  				}
  			}
  			set = new HashSet<Character>();
  			order = ""+a[n-1];
  			set.add(a[n-1]);
  			int idx = n-2;
  			while (idx >= 0) {
  				if (!set.contains(a[idx])) {
  					set.add(a[idx]);
  					order = a[idx] + order;
  				}
  				idx--;
  			}
  			for (int i = 0; i < n; i++) {
  				int l = 0, r = i, orderIdx = 0;
  				int len = i+1;
  				while (len > 0) {
  					len -= getRange(l, r, order.charAt(orderIdx++)-'a');
  					l = r+1; r += len;
  					if (l > r || l >= n || r >= n || orderIdx >= order.length()) {
  						break;
  					}
  				}
  				if (len == 0 && orderIdx == order.length() && l == n && r == n-1 && works(i)) {
  					for (int j = 0; j <= i; j++) {
  						out.print(a[j]);
  					}
  					out.print(" ");
  					out.println(order);
  					continue outer;
  				}
  			}
  			out.println(-1);
  		}
  		out.close();
  	} 
  	
  	static boolean works(int r) {
  		StringBuilder stb = new StringBuilder();
  		ArrayList<Integer>[] tmp = pos.clone();
  		TreeSet<Integer> tmpSet = new TreeSet<Integer>();
  		for (int i = 0; i <= r; i++) {
  			tmpSet.add(i);
  		}
  		for (int i = 0; i < order.length(); i++) {
  			Integer cur = tmpSet.ceiling(0);
  			while (cur != null) {
  				stb.append(a[cur]);
  				cur = tmpSet.higher(cur);
  			}
  			for (int rmv : tmp[order.charAt(i)-'a']) {
  				if (tmpSet.contains(rmv)) {
  					tmpSet.remove(rmv);
  				}
  			}
  		}
  		String cmp = stb.toString();
  		for (int i = 0; i < n; i++) {
  			if (cmp.charAt(i) != a[i]) {
  				return false;
  			}
  		}
  		return true;
  	}
  	
  	static int getRange(int l, int r, int c) {
  		if (l != 0) {
  			return psa[r][c] - psa[l-1][c];
  		}
  		return psa[r][c];
  	}
  
  	static INPUT in = new INPUT(System.in);
  	static PrintWriter out = new PrintWriter(System.out);
  	private static class INPUT {
  
  		private InputStream stream;
  		private byte[] buf = new byte[1024];
  		private int curChar, numChars;
  
  		public INPUT (InputStream stream) {
  			this.stream = stream;
  		}
  
  		public INPUT (String file) throws IOException {
  			this.stream = new FileInputStream (file);
  		}
  
  		public int cscan () throws IOException {
  			if (curChar >= numChars) {
  				curChar = 0;
  				numChars = stream.read (buf);
  			}
  			
  			if (numChars == -1)
  				return numChars;
  
  			return buf[curChar++];
  		}
  
  		public int iscan () throws IOException {
  			int c = cscan (), sgn = 1;
  			
  			while (space (c))
  				c = cscan ();
  
  			if (c == '-') {
  				sgn = -1;
  				c = cscan ();
  			}
  
  			int res = 0;
  
  			do {
  				res = (res << 1) + (res << 3);
  				res += c - '0';
  				c = cscan ();
  			}
  			while (!space (c));
  
  			return res * sgn;
  		}
  
  		public String sscan () throws IOException {
  			int c = cscan ();
  			
  			while (space (c))
  				c = cscan ();
  
  			StringBuilder res = new StringBuilder ();
  
  			do {
  				res.appendCodePoint (c);
  				c = cscan ();
  			}
  			while (!space (c));
  
  			return res.toString ();
  		}
  
  		public double dscan () throws IOException {
  			int c = cscan (), sgn = 1;
  			
  			while (space (c))
  				c = cscan ();
  
  			if (c == '-') {
  				sgn = -1;
  				c = cscan ();
  			}
  
  			double res = 0;
  
  			while (!space (c) && c != '.') {
  				if (c == 'e' || c == 'E')
  					return res * UTILITIES.fast_pow (10, iscan ());
  				
  				res *= 10;
  				res += c - '0';
  				c = cscan ();
  			}
  
  			if (c == '.') {
  				c = cscan ();
  				double m = 1;
  
  				while (!space (c)) {
  					if (c == 'e' || c == 'E')
  						return res * UTILITIES.fast_pow (10, iscan ());
  
  					m /= 10;
  					res += (c - '0') * m;
  					c = cscan ();
  				}
  			}
  
  			return res * sgn;
  		}
  
  		public long lscan () throws IOException {
  			int c = cscan (), sgn = 1;
  			
  			while (space (c))
  				c = cscan ();
  
  			if (c == '-') {
  				sgn = -1;
  				c = cscan ();
  			}
  
  			long res = 0;
  
  			do {
  				res = (res << 1) + (res << 3);
  				res += c - '0';
  				c = cscan ();
  			}
  			while (!space (c));
  
  			return res * sgn;
  		}
  
  		public boolean space (int c) {
  			return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
  		}
  	}
  
  	public static class UTILITIES {
  
  		static final double EPS = 10e-6;
  		
  		public static void sort(int[] a, boolean increasing) {
  			ArrayList<Integer> arr = new ArrayList<Integer>();
  			int n = a.length;
  			for (int i = 0; i < n; i++) {
  				arr.add(a[i]);
  			}
  			Collections.sort(arr);
  			for (int i = 0; i < n; i++) {
  				if (increasing) {
  					a[i] = arr.get(i);
  				}
  				else {
  					a[i] = arr.get(n-1-i);
  				}
  			}
  		}
  		
  		public static void sort(long[] a, boolean increasing) {
  			ArrayList<Long> arr = new ArrayList<Long>();
  			int n = a.length;
  			for (int i = 0; i < n; i++) {
  				arr.add(a[i]);
  			}
  			Collections.sort(arr);
  			for (int i = 0; i < n; i++) {
  				if (increasing) {
  					a[i] = arr.get(i);
  				}
  				else {
  					a[i] = arr.get(n-1-i);
  				}
  			}
  		}
  		
  		public static void sort(double[] a, boolean increasing) {
  			ArrayList<Double> arr = new ArrayList<Double>();
  			int n = a.length;
  			for (int i = 0; i < n; i++) {
  				arr.add(a[i]);
  			}
  			Collections.sort(arr);
  			for (int i = 0; i < n; i++) {
  				if (increasing) {
  					a[i] = arr.get(i);
  				}
  				else {
  					a[i] = arr.get(n-1-i);
  				}
  			}
  		}
  
  		public static int lower_bound (int[] arr, int x) {
  			int low = 0, high = arr.length, mid = -1;
  
  			while (low < high) {
  				mid = (low + high) / 2;
  
  				if (arr[mid] >= x)
  					high = mid;
  				else
  					low = mid + 1;
  			}
  
  			return low;
  		}
  
  		public static int upper_bound (int[] arr, int x) {
  			int low = 0, high = arr.length, mid = -1;
  
  			while (low < high) {
  				mid = (low + high) / 2;
  
  				if (arr[mid] > x)
  					high = mid;
  				else
  					low = mid + 1;
  			}
  
  			return low;
  		}
  
  		public static long gcd (long a, long b) {
  			return b == 0 ? a : gcd (b, a % b);
  		}
  
  		public static long lcm (long a, long b) {
  			return a * b / gcd (a, b);
  		}
  
  		public static long fast_pow_mod (long b, long x, int mod) {
  			if (x == 0) return 1;
  			if (x == 1) return b;
  			if (x % 2 == 0) return fast_pow_mod (b * b % mod, x / 2, mod) % mod;
  
  			return b * fast_pow_mod (b * b % mod, x / 2, mod) % mod;
  		}
  
  		public static int fast_pow (int b, int x) {
  			if (x == 0) return 1;
  			if (x == 1) return b;
  			if (x % 2 == 0) return fast_pow (b * b, x / 2);
  
  			return b * fast_pow (b * b, x / 2);
  		}
  
  		public static long choose (long n, long k) {
  			k = Math.min (k, n - k);
  			long val = 1;
  
  			for (int i = 0; i < k; ++i)
  				val = val * (n - i) / (i + 1);
  
  			return val;
  		}
  
  		public static long permute (int n, int k) {
  			if (n < k) return 0;
  			long val = 1;
  
  			for (int i = 0; i < k; ++i)
  				val = (val * (n - i));
  
  			return val;
  		}
  		
  		// start of permutation and lower/upper bound template
  		public static void nextPermutation(int[] nums) {
  		    //find first decreasing digit
  		    int mark = -1;
  		    for (int i = nums.length - 1; i > 0; i--) {
  		        if (nums[i] > nums[i - 1]) {
  		            mark = i - 1;
  		            break;
  		        }
  		    }
  		 
  		    if (mark == -1) {
  		        reverse(nums, 0, nums.length - 1);
  		        return;
  		    }
  		 
  		    int idx = nums.length-1;
  		    for (int i = nums.length-1; i >= mark+1; i--) {
  		        if (nums[i] > nums[mark]) {
  		            idx = i;
  		            break;
  		        }
  		    }
  		 
  		    swap(nums, mark, idx);
  		 
  		    reverse(nums, mark + 1, nums.length - 1);
  		}
  		 
  		public static void swap(int[] nums, int i, int j) {
  		    int t = nums[i];
  		    nums[i] = nums[j];
  		    nums[j] = t;
  		}
  		 
  		public static void reverse(int[] nums, int i, int j) {
  		    while (i < j) {
  		        swap(nums, i, j);
  		        i++;
  		        j--;
  		    }
  		}
  		
  		static int lower_bound (int[] arr, int hi, int cmp) {
  			int low = 0, high = hi, mid = -1;
  			while (low < high) {
  				mid = (low + high) / 2;
  				if (arr[mid] >= cmp) high = mid;
  				else low = mid + 1;
  			}
  			return low;
  		}
  	 
  		static int upper_bound (int[] arr, int hi, int cmp) {
  			int low = 0, high = hi, mid = -1;
  			while (low < high) {
  				mid = (low + high) / 2;
  				if (arr[mid] > cmp) high = mid;
  				else low = mid + 1;
  			}
  			return low;
  		}
  		// end of permutation and lower/upper bound template
  	}
  }
  