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 C++ (GCC 9.2.1 with AC Library v1.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;

template <typename A, typename B>
string to_string(pair<A, B> p);

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p);

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p);

string to_string(const string& s) {
    return '"' + s + '"';
}

string to_string(const char* s) {
    return to_string((string) s);
}

string to_string(bool b) {
     return (b ? "true" : "false");
}

string to_string(vector<bool> v) {
    bool first = true;
    string res = "{";
    for (int i = 0; i < static_cast<int>(v.size()); i++) {
        if (!first) {
            res += ", ";
        }
        first = false;
        res += to_string(v[i]);
    }
    res += "}";
    return res;
}

template <size_t N>
string to_string(bitset<N> v) {
    string res = "";
    for (size_t i = 0; i < N; i++) {
        res += static_cast<char>('0' + v[i]);
    }
    return res;
}

template <typename A>
string to_string(A v) {
    if(v.size() >= 200) {
        return "Too big length";
    }

    bool first = true;
    string res = "{";
    for (const auto &x : v) {
        if (!first) {
            res += ", ";
        }
        first = false;
        res += to_string(x);
    }
    res += "}";
    return res;
}

template <typename A, typename B>
string to_string(pair<A, B> p) {
    return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p) {
    return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")";
}

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p) {
    return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")";
}

void debug_out() { cerr << endl; }

template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
    cerr << " " << to_string(H);
    debug_out(T...);
}
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)

#define rep(i,n) for (int i = 0; i < n; ++i)
#define per(i,n) for (int i = n - 1; i >= 0; --i)
#define rep1(i,n) for (int i = 1; i <= n; ++i)
#define reps(i,s,n) for (int i = s; i < n; ++i)
#define all(c) begin(c),end(c)
template<typename T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
template<typename T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
typedef long long ll;
typedef long double ld;
typedef pair<int,int> PINT;
typedef pair<ll,ll> PLL;
#define precout() cout << std::fixed << std::setprecision(20);
#define print(a) cout << a << endl;
const int INFI = (1 << 30) - 1;
const long long INFLL = (1LL << 62) - 1;
template<typename T> void printv(vector<T>&v) {
    int n = v.size() - 1;
    rep(i, n) cout << v[i] << " ";
    cout << v.back() << endl;
}
const int dy[4] = { 0, 1, 0, -1 };
const int dx[4] = { 1, 0, -1, 0 };
const int dy8[8] = { 1, 1, 1, 0, 0, -1, -1, -1 };
const int dx8[8] = { -1, 0, 1, -1, 1, -1, 0, 1 };
double deg2rad(double deg) { return deg * M_PI / 180; }
double rad2deg(double rad) { return rad * 180 / M_PI; }
void yesorno(bool flag) {
    if(flag) print("Yes")
    else print("No");
}
template<typename T> T ceil_int(T A, T B) {
    return (A + (B - T(1))) / B;
}
// const long long MOD = 1e9+7;
const long long MOD = 998244353;

const int MAX_N = 1e5 * 2 + 5;
ll ten[MAX_N], one[MAX_N];

struct S {
    int len;
    ll val;
};

using F = int;

S op(S l, S r) {
    return S({ l.len + r.len, l.val * ten[r.len] + r.val % MOD});
}

S e() { return S{0, 0}; }

S mapping(F l, S r) {
    if(l == 0) return r;
    return S({ r.len, l * one[r.len] % MOD });
}

F composition(F l, F r) {
    if(l == 0) return r;
    return l;
}

F id() { return 0; }

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);

    int N; cin >> N;
    int Q; cin >> Q;

    ten[0] = 1;
    one[0] = 0;
    rep1(i, MAX_N - 1) {
        ten[i] = ten[i - 1] * 10 % MOD;
        one[i] = (one[i - 1] * 10 + 1) % MOD;
    }

    vector<S> A(N, S({1, 1}));

    atcoder::lazy_segtree<S, op, e, F, mapping, composition, id> seg(A);

    rep(i, Q) {
        int l,r,d; cin >> l >> r >> d;
        seg.apply(l - 1, r, d);
        S ans = seg.prod(0, N);
        print(ans.val);
    }
}