Problem:
Score : 500 points

Problem Statement

You have a string S of length N.
Initially, all characters in S are 1s.

You will perform queries Q times.
In the i-th query, you are given two integers L_i, R_i and a character D_i (which is a digit).
Then, you must replace all characters from the L_i-th to the R_i-th (inclusive) with D_i.

After each query, read the string S as a decimal integer, and print its value modulo 998,244,353.

Constraints

1 \leq N, Q \leq 200,000

1 \leq L_i \leq R_i \leq N

1 \leq D_i \leq 9

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N Q
L_1 R_1 D_1
:
L_Q R_Q D_Q

Output

Print Q lines.
In the i-th line print the value of S after the i-th query, modulo 998,244,353.

Sample Input 1

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

Sample Output 1

11222211
77772211
77333333
72333333
72311333

Sample Input 2

200000 1
123 456 7

Sample Output 2

641437905

Don't forget to take the modulo.

Solution in PHP (7.4.4) (judge verdict: Time Limit Exceeded)

<?php
//$N = (int)trim(fgets(STDIN));
//$S = trim(fgets(STDIN));
list($N,$Q) = array_map('intval',explode(" ",trim(fgets(STDIN))));
//$A = array_map('intval',explode(" ",trim(fgets(STDIN))));

$mod = "998244353";

$S = str_pad("",$N,"1");
for($i=0;$i<$Q;$i++) {
  list($L,$R,$D) = array_map('intval',explode(" ",trim(fgets(STDIN))));
  $rep = str_pad("",$R-$L+1,(String)$D);
  $S=substr_replace($S,$rep,$L-1,$R-$L+1);
  printf("%s\n",bcmod($S,$mod));
}