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) (judge verdict: Accepted)

///////////////////////////////////////////////////////////////////////////////

#include <bits/stdc++.h>
#include <unistd.h>
#include <time.h>
#include <sys/time.h>

using namespace std;

///////////////////////////////////////////////////////////////////////////////

#define DEBUG 0

#define pb push_back
#define V vector
#define M unordered_map
#define S static

#define rep(i,n) for(ll i=0LL; i<n; ++i)
#define srep(i,s,n) for(ll i=s; i<n; ++i)
#define rrep(i,n) for(ll i=n-1LL; i>=0LL; --i)
#define ALL(a) (a).begin(),(a).end()
#define RALL(a) (a).rbegin(),(a).rend()
#define CIN(x) do { \
        assert(!cin.eof()); \
        cin >> x; \
        assert(!cin.fail()); \
} while(0);
#if DEBUG
#define debug_print(...) _debug_print(__VA_ARGS__)
#define debug_printf(...) printf(__VA_ARGS__)
#define debug_print_time _debug_print_time
#else // DEBUG
#define debug_print(...)
#define debug_printf(...)
#define debug_print_time
#endif // DEBUG

typedef long long ll;
typedef unsigned long long ull;
typedef tuple<ll, ll> t2;
typedef tuple<ll, ll, ll> t3;
typedef tuple<ll, ll, ll, ll> t4;
typedef tuple<ll, ll, ll, ll, ll> t5;
template <typename T>
using priority_queue_incr = priority_queue<T, V<T>, greater<T> >;

///////////////////////////////////////////////////////////////////////////////

template <typename TT, typename T>
T get_m(M<TT, T> &m, TT k, T default_value)
{
    if (m.find(k) == m.end()) return m[k] = default_value;
    return m[k];
}

template <typename TT, typename T>
void incr_m(M<TT, T> &m, TT k)
{
    if (m.find(k) == m.end()) m[k] = 0;
    m[k]++;
}

template <typename TT, typename T>
void incr_m(map<TT, T> &m, TT k)
{
    if (m.find(k) == m.end()) m[k] = 0;
    m[k]++;
}

void llin(ll &a)
{
    CIN(a);
}

void llinl1(V<ll> &v, ll count)
{
    for (ll i = 0LL; i < count; ++i) {
        ll a;
        CIN(a);
        v.push_back(a);
    }
}

void llinl2(V<t2> &v, ll count)
{
    for (ll i = 0LL; i < count; ++i) {
        ll a, b;
        CIN(a >> b);
        v.push_back(t2(a, b));
    }
}

void llinl3(V<t3> &v, ll count)
{
    for (ll i = 0LL; i < count; ++i) {
        ll a, b, c;
        CIN(a >> b >> c);
        v.push_back(t3(a, b, c));
    }
}

void llinl4(V<t4> &v, ll count)
{
    for (ll i = 0LL; i < count; ++i) {
        ll a, b, c, d;
        CIN(a >> b >> c >> d);
        v.push_back(t4(a, b, c, d));
    }
}

void llina(V<ll> &v, ll count)
{
    llinl1(v, count);
}

template <typename T>
void sort(V<T> &v)
{
    sort(v.begin(), v.end());
}

template <typename T>
void sort_reverse(V<T> &v)
{
    sort(v.begin(), v.end(), greater<T>());
}

template <typename T>
void _debug_print(T x)
{
    cout << x << endl;
}

void _debug_print(const t2 &x)
{
    ll x1 = get<0>(x);
    ll x2 = get<1>(x);
    cout << "-- " << x1 << " -- " << x2 << endl;
}

void _debug_print(const t3 &x)
{
    ll x1 = get<0>(x);
    ll x2 = get<1>(x);
    ll x3 = get<2>(x);
    cout << "-- " << x1 << " -- " << x2 << " -- " << x3 << endl;
}

void _debug_print(const t4 &x)
{
    ll x1 = get<0>(x);
    ll x2 = get<1>(x);
    ll x3 = get<2>(x);
    ll x4 = get<3>(x);
    cout << "-- " << x1 << " -- " << x2
         << " -- " << x3 << " -- " << x4 << endl;
}

template <typename T>
void _debug_print(T xarray[], ll n)
{
    rep (i, n) _debug_print(xarray[i]);
}

template <typename T>
void _debug_print(const V<T> &xlist)
{
    for (auto x : xlist) {
        cout << "-- ";
        _debug_print(x);
    }
}

template <typename T>
void _debug_print(const set<T> &xset)
{
    for (auto x : xset) {
        cout << "-- ";
        _debug_print(x);
    }
}

template <typename TT, typename T>
void _debug_print(const M<TT, T> &xlist)
{
    for (auto x : xlist) {
        TT k = x.first;
        T v = x.second;
        cout << "====" << endl;
        cout << "K=";
        _debug_print(k);
        cout << "V=";
        _debug_print(v);
    }
}

template <typename TT, typename T>
void _debug_print(const map<TT, T> &xlist)
{
    for (auto x : xlist) {
        TT k = x.first;
        T v = x.second;
        cout << "====" << endl;
        cout << "K=";
        _debug_print(k);
        cout << "V=";
        _debug_print(v);
    }
}

void _debug_print_time(const char *prefix)
{
    struct timeval tv;
    gettimeofday(&tv, NULL);
#if DEBUG
    struct tm *tm = localtime(&tv.tv_sec);
#endif
    debug_printf("-- %s %02d:%02d:%02d.%06ld\n",
                 prefix, tm->tm_hour, tm->tm_min, tm->tm_sec, tv.tv_usec);
}





// #define MOD   (1000000007LL)
#define MOD   (998244353LL)

ll mod_mlt(ll x, ll y, ll mod)
{
    ll ret = 0LL;
    x %= mod;

    while (y) {
        if (y & 1LL) {
            ret += x;
            ret %= mod;
        }
        y >>= 1;
        x <<= 1;
        x %= mod;
    }

    return ret;
}

// O(log(exp))
ll mod_pow(ll base, ll exp, ll mod)
{
    ll ret = 1LL;

    for ( ; exp; ) {
        if (exp & 1LL) {
            ret *= base;
            ret %= mod;
        }
        base = (base * base) % mod;
        exp >>= 1;
    }

    return ret;
}

// O(log(mod))
ll mod_inv(ll x, ll mod)
{
    // available only when mod is prime
    return mod_pow(x, mod - 2LL, mod);
}

ull mod_combination(ll x, ll y, ll mod)
{
    if (y > x / 2LL) y = x - y;

    ll ret = 1;

    for (ll i = 0LL; i < y; ++i) {
        ret = (ret * x--) % mod;
        ret = (ret * mod_inv(i + 1LL, mod)) % mod;
    }

    return ret;
}

void make_perms(ll perms[], ll perm_invs[], ll size, ll mod)
{
    perms[0] = 1LL;
    srep (i, 1, size) {
        perms[i] = perms[i-1] * i;
        perms[i] %= mod;
    }

    perm_invs[size-1] = mod_inv(perms[size-1], mod);
    rrep (i, size-1) {
        perm_invs[i] = perm_invs[i+1LL] * (i+1LL);
        perm_invs[i] %= mod;
    }
}





template <typename T>
struct SegmentTree {
    T *nodes;
    t2 *ranges;  // [start, end)
    ll nodecount;
    ll itemcount;
    T unit;
    T (*op)(T, T);

    SegmentTree(ll itemcount, T unit, T op(T, T)) {
        ll orig_itemcount = itemcount;
        this->itemcount = 1LL;
        while (this->itemcount < orig_itemcount) this->itemcount *= 2LL;
        nodecount = this->itemcount * 2 - 1;
        nodes = new T[nodecount];
        ranges = new t2[nodecount];
        this->unit = unit;
        this->op = op;

        ll start = 0LL;
        ll end = this->itemcount;
        ll len = this->itemcount;

        rep (i, nodecount) {
            nodes[i] = unit;
            ranges[i] = t2(start, end);
            if (end >= this->itemcount) {
                len /= 2LL;
                start = 0LL;
                end = len;
            }
            else {
                start = end;
                end = start + len;
            }
        }
    }

    void build(const T arr[]) {
        memcpy(nodes + nodecount / 2LL, arr, sizeof(T) * itemcount);
        rrep (i, nodecount / 2LL) {
            nodes[i] = op(nodes[i * 2LL + 1LL], nodes[i * 2LL + 2LL]);
        }
    }

    void update(ll k, T v) {
        ll idx = k + itemcount - 1LL;
        nodes[idx] = v;
        idx = (idx - 1LL) / 2LL;

        for ( ; idx >= 0; idx = (idx - 1LL) / 2LL) {
            nodes[idx] = op(nodes[idx * 2LL + 1LL],
                            nodes[idx * 2LL + 2LL]);
            if (!idx) break;
        }
    }

    // query to [start, end)
    virtual T query(ll start, ll end) const {
        return _query(start, end, 0LL);
    }

    virtual T _query(ll start, ll end, ll idx) const {
        ll rstart = get<0>(ranges[idx]);
        ll rend = get<1>(ranges[idx]);

        if (start <= rstart && rend <= end) {
            return nodes[idx];
        }
        if (rend <= start || end <= rstart) {
            return unit;
        }
        T left = _query(start, end, idx * 2LL + 1LL);
        T right = _query(start, end, idx * 2LL + 2LL);
        return op(left, right);
    }

    T query_fast(ll start, ll end) const {
        start += nodecount / 2LL;
        end += nodecount / 2LL;
        T lval = unit;
        T rval = unit;
        for ( ; start < end; start >>= 1LL, end >>= 1LL) {
            if (!(start & 1LL)) lval = op(lval, nodes[start]);
            if (!(end & 1LL)) rval = op(rval, nodes[end-1]);
            end--;
        }
        return op(lval, rval);
    }

};

template <typename T1, typename T2>
struct SegmentTreeLazy : public SegmentTree<T1> {
    T2 *lzvals;
    bool *lzvalids;
    T2 unit_upd;
    void (*op_upd)(T1&, T2);
    T2 (*op_div)(T2);
    T2 (*op_mlt)(T2, ll);
    void (*op_t2upd)(T2&, T2);

    SegmentTreeLazy(ll itemcount, T1 unit, T2 unit_upd,
                    T1 op(T1, T1), void op_upd(T1&, T2),
                    T2 op_div(T2), T2 op_mlt(T2, ll), void op_t2upd(T2&, T2))
        : SegmentTree<T1>(itemcount, unit, op) {
        this->lzvals = new T2[this->nodecount];
        this->lzvalids = new bool[this->nodecount];
        this->unit_upd = unit_upd;
        this->op_upd = op_upd;
        this->op_div = op_div;
        this->op_mlt = op_mlt;
        this->op_t2upd = op_t2upd;
        rep (i, this->nodecount) this->lzvals[i] = unit_upd;
        memset(this->lzvalids, 0, sizeof(bool) * this->nodecount);
    }

    // newval = op_upd(oldval, lzval);
    void eval(ll nodeidx) {
        if (!lzvalids[nodeidx]) return;

        op_upd(this->nodes[nodeidx], lzvals[nodeidx]);

        if (nodeidx * 2LL + 2LL < this->nodecount) {
            T2 downval = op_div(lzvals[nodeidx]);
            op_t2upd(lzvals[nodeidx * 2LL + 1LL], downval);
            op_t2upd(lzvals[nodeidx * 2LL + 2LL], downval);
            lzvalids[nodeidx * 2LL + 1LL] = lzvalids[nodeidx * 2LL + 2LL] = true;
        }

        lzvalids[nodeidx] = false;
        lzvals[nodeidx] = this->unit_upd;
    }

    void update(ll start, ll end, T2 val) {
        _update(start, end, val, 0LL);
    }

    void _update(ll start, ll end, T2 val, ll nodeidx) {
        eval(nodeidx);

        ll rstart = get<0>(this->ranges[nodeidx]);
        ll rend = get<1>(this->ranges[nodeidx]);
        if (end <= rstart || rend <= start) return;

        if (start <= rstart && rend <= end) {
            op_t2upd(lzvals[nodeidx], op_mlt(val, rend - rstart));
            lzvalids[nodeidx] = true;
            eval(nodeidx);
        }
        else {
            _update(start, end, val, nodeidx * 2LL + 1LL);
            _update(start, end, val, nodeidx * 2LL + 2LL);
            this->nodes[nodeidx] = this->op(this->nodes[nodeidx * 2LL + 1LL],
                                            this->nodes[nodeidx * 2LL + 2LL]);
        }
    }

    // query to [start, end)
    virtual T1 query(ll start, ll end) {
        return _query(start, end, 0LL);
    }

    virtual T1 _query(ll start, ll end, ll nodeidx) {
        ll rstart = get<0>(this->ranges[nodeidx]);
        ll rend = get<1>(this->ranges[nodeidx]);

        eval(nodeidx);

        if (start <= rstart && rend <= end) {
            return this->nodes[nodeidx];
        }
        if (rend <= start || end <= rstart) {
            return this->unit;
        }
        T1 left = _query(start, end, nodeidx * 2LL + 1LL);
        T1 right = _query(start, end, nodeidx * 2LL + 2LL);
        return this->op(left, right);
    }
};




///////////////////////////////////////////////////////////////////////////////

void _main();
int main()
{
    cout << setprecision(12);
#if !DEBUG
    ios::sync_with_stdio(false);
    cin.tie(0);
#endif

    _main();
    return 0;
}

ll mlt10[200'020];
ll mlt11[200'020];

t2 op(t2 x, t2 y) {
    ll val0 = get<0>(x);
    ll len0 = get<1>(x);
    ll val1 = get<0>(y);
    ll len1 = get<1>(y);
    val0 *= mlt10[len1];
    val0 %= MOD;
    val1 += val0;
    val1 %= MOD;
    return t2(val1, len0 + len1);
}
void op_upd(t2 &x, ll y) {
    ll val0 = get<0>(x);
    ll len0 = get<1>(x);
    if (!y) return;
    val0 = mlt11[len0] * y;
    val0 %= MOD;
    x = t2(val0, len0);
}
ll op_div(ll x) {
    return x;
}
ll op_mlt(ll x, ll y) {
    return x;
}
void op_t2upd(ll& x, ll y)
{
    if (!y) return;
    x = y;
}

void d(char *s, SegmentTreeLazy<t2, ll> &tree, ll n)
{
    debug_printf("------------------------ %s\n", s);
    debug_printf("---- nodes\n");
    debug_print(tree.nodes, n*2-1);
    debug_printf("---- lzvalids\n");
    debug_print(tree.lzvalids, n*2-1);
    debug_printf("---- lzvals\n");
    debug_print(tree.lzvals, n*2-1);
}


void _main()
{
    ll n; llin(n);
    ll qcnt; llin(qcnt);
    V<t3> qlist; llinl3(qlist, qcnt);

    ll blen = 1;
    rep (i, 200'009) {
        mlt10[i] = blen;
        blen *= 10LL;
        blen %= MOD;
    }

    ll b11 = 1;
    srep (i, 1, 200'009) {
        mlt11[i] = b11;
        b11 *= 10LL;
        b11++;
        b11 %= MOD;
    }

    S SegmentTreeLazy<t2, ll> tree(n, t2(0, 0), 0,
                                   op, op_upd, op_div, op_mlt, op_t2upd);

    d("init", tree, n);

    S t2 initval[500'010];
    rep (i, 500'010) initval[i] = t2(1, 1);
    tree.build(initval);

    d("start", tree, n);

    for (auto q : qlist) {
        ll left = get<0>(q) - 1;
        ll right = get<1>(q) - 1;
        ll d = get<2>(q);

        tree.update(left, right+1LL, d);
        auto result = tree.query(0, n);
        cout << get<0>(result) << endl;
    }
}

///////////////////////////////////////////////////////////////////////////////