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 Ruby (2.7.1) (judge verdict: Time Limit Exceeded)

# 整数の入力                                                                                                                            
n, q = gets.chomp.split(" ").map(&:to_i)                                                                                                
                                                                                                                                        
word = 1.to_s * n                                                                                                                       
# puts word                                                                                                                             
                                                                                                                                        
q.times do                                                                                                                              
  l, r, d = gets.chomp.split(" ").map(&:to_i)                                                                                           
  f = word[0, (l-1)]                                                                                                                    
  mid = d.to_s * (r - l + 1)                                                                                                            
  l = word[r, n-1]                                                                                                                      
  # puts "<" + f                                                                                                                        
  # puts "<" + mid                                                                                                                      
  # puts "<" + l                                                                                                                        
  word = f + mid + l                                                                                                                    
  puts word.to_i % 998244353                                                                                                            
end