An ant moves on the real line with constant speed of 1 unit per second. It starts at 0 and always moves to the right (so its position increases by 1 each second).

There are n portals, the i-th of which is located at position x_i and teleports to position y_i < x_i. Each portal can be either active or inactive. The initial state of the i-th portal is determined by s_i: if s_i=0 then the i-th portal is initially inactive, if s_i=1 then the i-th portal is initially active. When the ant travels through a portal (i.e., when its position coincides with the position of a portal): 

  * if the portal is inactive, it becomes active (in this case the path of the ant is not affected); 
  * if the portal is active, it becomes inactive and the ant is instantly teleported to the position y_i, where it keeps on moving as normal. 



How long (from the instant it starts moving) does it take for the ant to reach the position x_n + 1? It can be shown that this happens in a finite amount of time. Since the answer may be very large, compute it modulo 998 244 353.

Input

The first line contains the integer n (1≤ n≤ 2⋅ 10^5) — the number of portals.

The i-th of the next n lines contains three integers x_i, y_i and s_i (1≤ y_i < x_i≤ 10^9, s_i∈\{0,1\}) — the position of the i-th portal, the position where the ant is teleported when it travels through the i-th portal (if it is active), and the initial state of the i-th portal.

The positions of the portals are strictly increasing, that is x_1<x_2<⋅⋅⋅<x_n. It is guaranteed that the 2n integers x_1,   x_2,   ...,   x_n,   y_1,   y_2,   ...,   y_n are all distinct.

Output

Output the amount of time elapsed, in seconds, from the instant the ant starts moving to the instant it reaches the position x_n+1. Since the answer may be very large, output it modulo 998 244 353.

Examples

Input


4
3 2 0
6 5 1
7 4 0
8 1 1


Output


23


Input


1
454971987 406874902 1


Output


503069073


Input


5
243385510 42245605 0
644426565 574769163 0
708622105 208990040 0
786625660 616437691 0
899754846 382774619 0


Output


899754847


Input


5
200000000 100000000 1
600000000 400000000 0
800000000 300000000 0
900000000 700000000 1
1000000000 500000000 0


Output


3511295

Note

Explanation of the first sample: The ant moves as follows (a curvy arrow denotes a teleporting, a straight arrow denotes normal movement with speed 1 and the time spent during the movement is written above the arrow). $$$ 0 \stackrel{6}{\longrightarrow} 6 \leadsto 5 \stackrel{3}{\longrightarrow} 8 \leadsto 1 \stackrel{2}{\longrightarrow} 3 \leadsto 2 \stackrel{4}{\longrightarrow} 6 \leadsto 5 \stackrel{2}{\longrightarrow} 7 \leadsto 4 \stackrel{2}{\longrightarrow} 6 \leadsto 5 \stackrel{4}{\longrightarrow} 9  Notice that the total time is 6+3+2+4+2+2+4=23$$$.

Explanation of the second sample: The ant moves as follows (a curvy arrow denotes a teleporting, a straight arrow denotes normal movement with speed 1 and the time spent during the movement is written above the arrow). $$$ 0 \stackrel{454971987}{\longrightarrow} 454971987 \leadsto 406874902 \stackrel{48097086}{\longrightarrow} 454971988  Notice that the total time is 454971987+48097086=503069073$$$.

Explanation of the third sample: Since all portals are initially off, the ant will not be teleported and will go straight from 0 to x_n+1=899754846+1=899754847.
import java.io.*;
import java.util.*;

public class Main {
	public static void main(String[] args) {
		InputStream inputStream = System.in;
		OutputStream outputStream = System.out;
		InputReader in = new InputReader(inputStream);
		PrintWriter out = new PrintWriter(outputStream);
		Task solver = new Task();
		int tcCnt = 1;
		for (int tc = 1; tc <= tcCnt; tc++)
			solver.solve(tc, in, out);
		out.close();
	}

	static class Task {
		final long MOD = 998244353L;
		public void solve(int testNumber, InputReader in, PrintWriter out) {
			int n = in.nextInt();
			Portal[] portals = new Portal[n];
			long[] prefSum = new long[n];
			long ans = 0;
			for (int i = 0; i < n; i++) {
				portals[i] = new Portal(in.nextInt(), in.nextInt(), in.nextInt() == 1);

				if (i > 0) {
					int low = 0, high = i-1, nextPortal = i;
					while (low <= high) {
						int mid = (low + high) / 2;
						if (portals[mid].from >= portals[i].to) {
							nextPortal = mid;
							high = mid - 1;
						} else {
							low = mid + 1;
						}
					}
					long portalSum = (prefSum[i-1] - (nextPortal == 0 ? 0 : prefSum[nextPortal - 1]) + MOD) % MOD;
					portals[i].dist2self = (portals[i].dist2self + portalSum) % MOD;
				}
				portals[i].dist2self = (portals[i].dist2self + (portals[i].from - portals[i].to + MOD) % MOD) % MOD;
				prefSum[i] = ((i == 0 ? 0 : prefSum[i-1]) + portals[i].dist2self) % MOD;

				ans += portals[i].initialState ? portals[i].dist2self : 0;
				ans %= MOD;
			}
			ans += portals[n-1].from + 1;
			ans %= MOD;
			out.println(ans);
		}
		class Portal {
			int from, to;
			long dist2self;
			boolean initialState;
			Portal(int from, int to, boolean initialState) {
				this.from = from;
				this.to = to;
				this.initialState = initialState;
				this.dist2self = 0L;
			}
		}

	}

	static class InputReader {
		public BufferedReader reader;
		public StringTokenizer tokenizer;

		public InputReader(InputStream stream) {
			reader = new BufferedReader(new InputStreamReader(stream), 32768);
			tokenizer = null;
		}

		public String nextLine() {
			try {
				return reader.readLine();
			} catch (IOException e) {
				throw new RuntimeException(e);
			}
		}

		public String nextToken() {
			while (tokenizer == null || !tokenizer.hasMoreTokens()) {
				tokenizer = new StringTokenizer(nextLine());
			}
			return tokenizer.nextToken();
		}

		public int nextInt() {
			return Integer.parseInt(nextToken());
		}

		public double nextDouble() {
			return Double.parseDouble(nextToken());
		}

		public long nextLong() {
			return Long.parseLong(nextToken());
		}

		public int[] nextIntArray(int size) {
			int[] arr = new int[size];
			for (int i = 0; i < size; i++) {
				arr[i] = nextInt();
			}
			return arr;
		}

	}
}