Problem: Kris works in a large company "Blake Technologies". As a best engineer of the company he was assigned a task to develop a printer that will be able to print horizontal and vertical strips. First prototype is already built and Kris wants to tests it. He wants you to implement the program that checks the result of the printing.

Printer works with a rectangular sheet of paper of size n × m. Consider the list as a table consisting of n rows and m columns. Rows are numbered from top to bottom with integers from 1 to n, while columns are numbered from left to right with integers from 1 to m. Initially, all cells are painted in color 0.

Your program has to support two operations: 

  1. Paint all cells in row ri in color ai; 
  2. Paint all cells in column ci in color ai. 



If during some operation i there is a cell that have already been painted, the color of this cell also changes to ai.

Your program has to print the resulting table after k operation.

Input

The first line of the input contains three integers n, m and k (1 ≤ n, m ≤ 5000, n·m ≤ 100 000, 1 ≤ k ≤ 100 000) — the dimensions of the sheet and the number of operations, respectively.

Each of the next k lines contains the description of exactly one query: 

  * 1 ri ai (1 ≤ ri ≤ n, 1 ≤ ai ≤ 109), means that row ri is painted in color ai; 
  * 2 ci ai (1 ≤ ci ≤ m, 1 ≤ ai ≤ 109), means that column ci is painted in color ai. 

Output

Print n lines containing m integers each — the resulting table after all operations are applied.

Examples

Input

3 3 3
1 1 3
2 2 1
1 2 2


Output

3 1 3 
2 2 2 
0 1 0 


Input

5 3 5
1 1 1
1 3 1
1 5 1
2 1 1
2 3 1


Output

1 1 1 
1 0 1 
1 1 1 
1 0 1 
1 1 1 

Note

The figure below shows all three operations for the first sample step by step. The cells that were painted on the corresponding step are marked gray. 

<image>

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;


public class Main {
	private InputStream is;
	private PrintWriter out;
	int time = 0, DP[], start[], end[], dist[], black[], MOD = (int) (1e9 + 7), arr[], weight[][], x[], y[], parent[];
	int MAX = 100010, N, K;
	long red[], ans = Long.MAX_VALUE;

	ArrayList<Character>[] amp;
	ArrayList<Pair>[] pmp;
	boolean b[][], boo[][], b1[];
	Pair prr[];
	HashMap<Pair, Integer> hm = new HashMap();
	long Dp[][][][] = new long[110][110][12][12];

	void soln() {
		is = System.in;
		out = new PrintWriter(System.out);
		long s = System.currentTimeMillis();
		solve();

		// out.close();
		out.flush();
		// tr(System.currentTimeMillis() - s + "ms");
	}

	static class ST1 // min ST
	{
		long arr[], st[];
		int size;

		ST1(long a[]) {
			arr = a.clone();
			size = 10 * arr.length;
			st = new long[size];
			build(0, arr.length - 1, 1);
		}

		void build(int ss, int se, int si) {
			if (ss == se) {
				st[si] = arr[ss];
				return;
			}
			int mid = (ss + se) / 2;
			int val = 2 * si;
			build(ss, mid, val);
			build(mid + 1, se, val + 1);
			st[si] = Math.min(st[val], st[val + 1]);
		}

		void update(int ss, int se, int idx, long val, int si) {
			if (ss == se) {
				// if(si==idx+1)
				st[si] = val;
				return;
			}
			int mid = (ss + se) / 2;
			if (ss <= idx && idx <= mid) {
				update(ss, mid, idx, val, 2 * si);
			} else {
				update(mid + 1, se, idx, val, 2 * si + 1);
			}
			int v = 2 * si;
			st[si] = Math.min(st[v], st[v + 1]);
		}

		long get(int ss, int se, int l, int r, int si) {
			if (l > se || r < ss || l > r)
				return Long.MAX_VALUE / 1000;
			if (l <= ss && r >= se)
				return st[si];
			int mid = (ss + se) / 2;
			int val = 2 * si;
			return Math.min(get(ss, mid, l, r, val), get(mid + 1, se, l, r, val + 1));
		}
	}

	public static void main(String[] args) throws Exception {
		new Thread(null, new Runnable() {
			public void run() {
				try {
					// new CODEFORCES().soln();
				} catch (Exception e) {
					System.out.println(e);
				}
			}
		}, "1", 1 << 26).start();
		new Main().soln();
	}

	int cost = 0, D[][];
	char ch[], ch1[];
	int hash = 29;
	TreeSet<Cell> ts;
	int x2, y2;
	HashSet<Integer>[] hs = (HashSet<Integer>[]) new HashSet[110];
	cell[] c;
	Pair[] p = new Pair[4];
	void solve() {
		int n = ni(), m = ni(), k = ni();
		int arr[][] = new int[n][m];
		int row[] = new int[n];
		int col[] = new int[m];
		int q[][] = new int[k][3];
		Arrays.fill(row, -1);
		Arrays.fill(col, -1);
		for(int i = 0;i<k;i++) {
			int t = ni(), r = ni()-1, a = ni();
			q[i][0] = t;
			q[i][1] = r;
			q[i][2] = a;
		}
		for(int i = k-1;i>=0;i--) {
			int t = q[i][0], r = q[i][1], a = q[i][2];
			if(t==1) {
				if(row[r]==-1) {
					row[r] = 1;
					for(int j = 0;j<m;j++) {
						if(arr[r][j]==0)
						arr[r][j] = a;
					}
				}
			}
			else {
				if(col[r]==-1) {
					col[r] = 1;
					for(int j = 0;j<n;j++) {
						if(arr[j][r]==0)
						arr[j][r] = a;
					}
				}
			}
		}
		for(int i = 0; i< n;i++) {
			for(int j = 0; j< m;j++) System.out.print(arr[i][j]+" ")
			;
			System.out.println();
		}
	}
	void print(int[][] arr) {
		int seed = 110, n = arr.length - 220;
		for (int i = 0; i < n; i++) {
			for (int j = 0; j < n; j++) {
				System.out.print(arr[i + seed][j + seed] + " ");
			}
			System.out.println();
		}
		System.out.println();
	}

	int recur(int i, int time) {
		if (i >= N)
			return 0;
		if (D[i][time] != -1)
			return D[i][time];
		if ((time + c[i].t) >= c[i].d)
			return D[i][time] = recur(i + 1, time);
		return D[i][time] = max(recur(i + 1, time), c[i].p + recur(i + 1, time + c[i].t));
	}

	static class cell implements Comparable<cell> {
		int t, d, p, i;

		cell(int t, int d, int p, int i) {
			this.t = t;
			this.p = p;
			this.d = d;
			this.i = i;
		}

		public int compareTo(cell other) {
			// return Integer.compare(val, other.val);
			return Long.compare(d, other.d);// != 0 ? (Long.compare(d, other.u)): (Long.compare(v,
											// other.v));//((Long.compare(u, other.u) != 0 ? (Long.compare(u, other.u)):
											// (Long.compare(v, other.v)))
			// &(Long.compare(u, other.v) != 0 ? (Long.compare(u, other.v)):
			// (Long.compare(v, other.u))));
		}

		public String toString() {
			return this.d + " " + this.t;
		}
	}

	long abs(long x) {
		return ((x > 0) ? x : -x);
	}

	long ret(int p) {
		if (p >= 0)
			return 0;
		else
			return 1;
	}

	long val(int p, int a, int b) {
		if (p >= 0) {
			return (a * 1l * p);
		}
		return (b * 1l * p);
	}

	void ternary_search(int l, int r) {
		// System.out.println(l+" "+r+" "+ans);
		// for(int i : arr) System.out.print(i+" ");
		// System.out.println();
		if (r >= l) {
			int mid1 = l + (r - l) / 3;
			int mid2 = r - (r - l) / 3;
			long cnt1 = 0, cnt2 = 0;
			cnt1 = compute(mid1);
			cnt2 = compute(mid2);
			// System.out.println(mid1+" "+ cnt1+" "+mid2+" "+cnt2);
			ans = Math.min(cnt1, cnt2);
			if (cnt1 < cnt2) {
				ternary_search(l, mid2 - 1);
			} else {
				ternary_search(mid1 + 1, r);
			}
		}
		return;
	}

	long compute(int x) {
		long ans = 0;
		int c = arr[0];
		for (int i = 1; i <= x; i++) {
			ans += max(c + 1 - arr[i], 0);
			c = max(c + 1, arr[i]);
		}
		int temp = arr[x];
		arr[x] = max(c + 1, arr[x]);
		// SSystem.out.println(arr[x]+" "+ans);
		c = arr[arr.length - 1];
		for (int i = arr.length - 1; i > x; i--) {
			ans += max(c + 1 - arr[i - 1], 0);
			c = max(c + 1, arr[i - 1]);
		}
		arr[x] = temp;
		return ans;
	}

	public int getParent(int x) {
		while (parent[x] != x) {
			parent[x] = parent[parent[x]];
			x = parent[x];
		}
		return x;
	}

	void getFactors(int n, int x) {
		for (int i = 1; i * i <= n; i++) {
			if (n % i == 0) {
				hs[x].add(i);
				hs[x].add(n / i);
			}
		}
	}

	void recur(int a, int b, int k) {
		if (k == 0) {
			if (a == x2 && b == y2)
				ans++;
			return;
		}
		recur(a, b + 1, k - 1);
		recur(a, b - 1, k - 1);
		recur(a + 1, b, k - 1);
		recur(a - 1, b, k - 1);
	}

	int min(int a, int b) {
		return (a < b) ? a : b;
	}

	private class Cell implements Comparable<Cell> {
		int u, v, s;

		public Cell(int u, int v, int s) {
			this.u = u;
			this.v = v;
			this.s = s;
		}

		public int hashCode() {
			return Objects.hash();
		}

		public int compareTo(Cell other) {
			return (Long.compare(s, other.s) != 0 ? (Long.compare(s, other.s))
					: (Long.compare(v, other.v) != 0 ? Long.compare(v, other.v) : Long.compare(u, other.u)))
					& ((Long.compare(s, other.s) != 0 ? (Long.compare(s, other.s))
							: (Long.compare(u, other.v) != 0 ? Long.compare(u, other.v) : Long.compare(v, other.u))));
		}

		public String toString() {
			return this.u + " " + this.v;
		}
	}

	class Pair implements Comparable<Pair> {
		int u, v, i;

		Pair(int u, int v) {
			this.u = u;
			this.v = v;
		}

		Pair(int u, int v, int i) {
			this.u = u;
			this.v = v;
			this.i = i;
		}

		public int hashCode() {
			return Objects.hash();
		}

		public boolean equals(Object o) {
			Pair other = (Pair) o;
			return ((u == other.u && v == other.v));
		}

		public int compareTo(Pair other) {
			// return Integer.compare(val, other.val);
			return Long.compare(u, other.u) != 0 ? (Long.compare(u, other.u)) : (Long.compare(v, other.v));// ((Long.compare(u,
																											// other.u)
																											// != 0 ?
																											// (Long.compare(u,
																											// other.u)):
																											// (Long.compare(v,
																											// other.v)))
			// &(Long.compare(u, other.v) != 0 ? (Long.compare(u, other.v)):
			// (Long.compare(v, other.u))));
		}

		public String toString() {
			return this.u + " " + this.v;
		}
	}

	int max(int a, int b) {
		if (a > b)
			return a;
		return b;
	}

	static class FenwickTree {

		int[] array; // 1-indexed array, In this array We save cumulative
						// information to perform efficient range queries and
						// updates

		public FenwickTree(int size) {
			array = new int[size + 1];
		}

		public int rsq(int ind) {
			assert ind > 0;
			int sum = 0;
			while (ind > 0) {
				sum += array[ind];
				// Extracting the portion up to the first significant one of the
				// binary representation of 'ind' and decrementing ind by that
				// number
				ind -= ind & (-ind);
			}
			return sum;
		}

		public int rsq(int a, int b) {
			assert b >= a && a > 0 && b > 0;
			return rsq(b) - rsq(a - 1);
		}

		public void update(int ind, int value) {
			assert ind > 0;
			while (ind < array.length) {
				array[ind] += value;
				// Extracting the portion up to the first significant one of the
				// binary representation of 'ind' and incrementing ind by that
				// number
				ind += ind & (-ind);
			}
		}

		public int size() {
			return array.length - 1;
		}
	}

	void buildGraph(int n) {
		for (int i = 0; i < n; i++) {
			int x1 = ni(), y1 = ni(), z = ni();
			pmp[x1].add(new Pair(y1, z));
		}
	}

	long modInverse(long a, long mOD2) {
		return power(a, mOD2 - 2, mOD2);
	}

	long power(long x, long y, long m) {
		if (y == 0)
			return 1;
		long p = power(x, y / 2, m) % m;
		p = (p * p) % m;

		return (y % 2 == 0) ? p : (x * p) % m;
	}

	public long gcd(long a, long b) {
		if (b == 0)
			return a;
		return gcd(b, a % b);
	}

	static class ST {
		int arr[], lazy[], n;

		ST(int a) {
			n = a;
			arr = new int[10 * n];
			lazy = new int[10 * n];
		}

		void up(int l, int r, int val) {
			update(0, n - 1, 0, l, r, val);
		}

		void update(int l, int r, int c, int x, int y, int val) {
			if (lazy[c] != 0) {
				lazy[2 * c + 1] += lazy[c];
				lazy[2 * c + 2] += lazy[c];
				if (l == r)
					arr[c] += lazy[c];
				lazy[c] = 0;
			}
			if (l > r || x > y || l > y || x > r)
				return;
			if (x <= l && y >= r)

			{
				lazy[c] += val;
				return;
			}
			int mid = l + r >> 1;
			update(l, mid, 2 * c + 1, x, y, val);
			update(mid + 1, r, 2 * c + 2, x, y, val);
			arr[c] = Math.max(arr[2 * c + 1], arr[2 * c + 2]);
		}

		int an(int ind) {
			return ans(0, n - 1, 0, ind);
		}

		int ans(int l, int r, int c, int ind) {
			if (lazy[c] != 0) {
				lazy[2 * c + 1] += lazy[c];
				lazy[2 * c + 2] += lazy[c];
				if (l == r)
					arr[c] += lazy[c];
				lazy[c] = 0;
			}
			if (l == r)
				return arr[c];
			int mid = l + r >> 1;
			if (mid >= ind)
				return ans(l, mid, 2 * c + 1, ind);
			return ans(mid + 1, r, 2 * c + 2, ind);
		}
	}

	public static int[] shuffle(int[] a, Random gen) {
		for (int i = 0, n = a.length; i < n; i++) {
			int ind = gen.nextInt(n - i) + i;
			int d = a[i];
			a[i] = a[ind];
			a[ind] = d;
		}
		return a;
	}

	long power(long x, long y, int mod) {
		long ans = 1;
		while (y > 0) {
			if (y % 2 == 0) {
				x = (x * x) % mod;
				y /= 2;
			} else {
				ans = (x * ans) % mod;
				y--;
			}
		}
		return ans;
	}

	// To Get Input
	// Some Buffer Methods
	private byte[] inbuf = new byte[1024];
	public int lenbuf = 0, ptrbuf = 0;

	private int readByte() {
		if (lenbuf == -1)
			throw new InputMismatchException();
		if (ptrbuf >= lenbuf) {
			ptrbuf = 0;
			try {
				lenbuf = is.read(inbuf);
			} catch (IOException e) {
				throw new InputMismatchException();
			}
			if (lenbuf <= 0)
				return -1;
		}
		return inbuf[ptrbuf++];
	}

	private boolean isSpaceChar(int c) {
		return !(c >= 33 && c <= 126);
	}

	private int skip() {
		int b;
		while ((b = readByte()) != -1 && isSpaceChar(b))
			;
		return b;
	}

	private double nd() {
		return Double.parseDouble(ns());
	}

	private char nc() {
		return (char) skip();
	}

	private String ns() {
		int b = skip();
		StringBuilder sb = new StringBuilder();
		while (!(isSpaceChar(b))) { // when nextLine, (isSpaceChar(b) && b != '
									// ')
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}

	private char[] ns(int n) {
		char[] buf = new char[n];
		int b = skip(), p = 0;
		while (p < n && !(isSpaceChar(b))) {
			buf[p++] = (char) b;
			b = readByte();
		}
		return n == p ? buf : Arrays.copyOf(buf, p);
	}

	private char[][] nm(int n, int m) {
		char[][] map = new char[n][];
		for (int i = 0; i < n; i++)
			map[i] = ns(m);
		return map;
	}

	private int[] na(int n) {
		int[] a = new int[n];
		for (int i = 0; i < n; i++)
			a[i] = ni();
		return a;
	}

	private int ni() {
		int num = 0, b;
		boolean minus = false;
		while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'))
			;
		if (b == '-') {
			minus = true;
			b = readByte();
		}

		while (true) {
			if (b >= '0' && b <= '9') {
				num = num * 10 + (b - '0');
			} else {
				return minus ? -num : num;
			}
			b = readByte();
		}
	}

	private long nl() {
		long num = 0;
		int b;
		boolean minus = false;
		while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'))
			;
		if (b == '-') {
			minus = true;
			b = readByte();
		}

		while (true) {
			if (b >= '0' && b <= '9') {
				num = num * 10 + (b - '0');
			} else {
				return minus ? -num : num;
			}
			b = readByte();
		}
	}

	private boolean oj = System.getProperty("ONLINE_JUDGE") != null;

	private void tr(Object... o) {
		if (!oj)
			System.out.println(Arrays.deepToString(o));
	}
}