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: Wrong Answer)

def numba_compile(numba_config):
    import os, sys
    if sys.argv[-1] == "ONLINE_JUDGE":
        from numba import njit
        from numba.pycc import CC
        cc = CC("my_module")
        for func, signature in numba_config:
            globals()[func.__name__] = njit(signature)(func)
            cc.export(func.__name__, signature)(func)
        cc.compile()
        exit()
    elif os.name == "posix":
        exec(f"from my_module import {','.join(func.__name__ for func, _ in numba_config)}")
        for func, _ in numba_config:
            globals()[func.__name__] = vars()[func.__name__]
    else:
        from numba import njit
        for func, signature in numba_config:
            globals()[func.__name__] = njit(signature, cache=True)(func)
        print("compiled!", file=sys.stderr)


import sys
import numpy as np


def solve(N, Q, LRD):
    mod = 998244353
    p = 1
    n = 0
    p10 = np.empty(202020, dtype=np.int64)
    n11 = np.empty(202020, dtype=np.int64)
    for i in range(202020):
        p10[i] = p
        n11[i] = n
        p = p*10%mod
        n = (n*10+1)%mod

    identity = 0
    sqrtN = 512
    n_buckets = N//sqrtN+1
    Data_val = np.ones(n_buckets*sqrtN, dtype=np.int64)
    Data_val[N:] = 0
    Bucket_val = np.full(n_buckets, n11[sqrtN], dtype=np.int64)
    Lazy = np.full(n_buckets, identity, dtype=np.int64)
    M = N % sqrtN
    Bucket_val[n_buckets-1] = n11[M]

    def eval_data(k):
        if Lazy[k] != identity:
            l, r = k*sqrtN, (k+1)*sqrtN
            for i in range(l, r):
                Data_val[i] = Lazy[k]
            Lazy[k] = identity

    def apply(s, t, f):
        for k in range(s//sqrtN, (t-1)//sqrtN+1):
            l, r = k*sqrtN, (k+1)*sqrtN
            if s <= l and r <= t:
                Bucket_val[k] = f * n11[sqrtN] % mod
                Lazy[k] = f
            else:
                eval_data(k)
                for i in range(max(l, s), min(r, t)):
                    Data_val[i] = f
                Bucket_val[k] = 0
                for i in range(l, min(r, N)):
                    Bucket_val[k] = Bucket_val[k] * 10 + Data_val[i]

    def get(i):
        k = i//sqrtN
        eval_data(k)
        return Data_val[i]

    def all_prod():
        res = 0
        for k in range(n_buckets-1):
            res = (res * p10[sqrtN] + Bucket_val[k]) % mod
        res = (res * p10[M] + Bucket_val[n_buckets-1]) % mod
        return res

    Ans = np.zeros(Q, dtype=np.int64)
    for i in range(Q):
        l, r, d = LRD[i]
        apply(l-1, r, d)
        ans = all_prod()
        Ans[i] = ans
        # print(Lazy)
        # print(Bucket_val)
        # print(Data_val)
        # print()

    return Ans


numba_compile([
    [solve, "i8[:](i8,i8,i8[:,:])"]
])


def main():
    N, Q = map(int, sys.stdin.buffer.readline().split())
    LRD = np.array(sys.stdin.buffer.read().split(), dtype=np.int64).reshape(Q, 3)
    Ans = solve(N, Q, LRD)
    print("\n".join(map(str, Ans.tolist())))


main()