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 Python (3.8.2) (judge verdict: Time Limit Exceeded)

n, q = (int(x) for x in input().split())

lrd = []
for i in range(q):
  lrd.append([int(x) for x in input().split()])

s = ""
for a in range(n):
  s = s + "1"

for j in lrd:
  s2 = s[:j[0]-1]
  s3 = s[j[1]:]

  for i in range(j[1]-j[0]+1):
    s2 = s2 + str(j[2])
  
  s = s2 + s3

  print(int(s) % 998244353)