// Problem: No.2229 Treasure Searching Rod (Hard) // Contest: yukicoder // URL: https://yukicoder.me/problems/no/2229 // Memory Limit: 512 MB // Time Limit: 2000 ms #include #define fastio ios::sync_with_stdio(0), cin.tie(0), cout.tie(0); #define dbg(x) cout << #x << " = " << (x) << "\n"; #define popcount(x) __builtin_popcountll((x)) #define all(v) (v).begin(), (v).end() #define pb emplace_back #define x first #define y second using namespace std; typedef long long ll; typedef pair pll; const int inf = 0x3f3f3f3f; const int mod = 998244353; struct mint { ll x; // typedef long long ll; mint(ll x = 0) : x((x % mod + mod) % mod) {} mint operator-() const { return mint(-x); } mint& operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod - a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint a) const { mint res(*this); return res += a; } mint operator-(const mint a) const { mint res(*this); return res -= a; } mint operator*(const mint a) const { mint res(*this); return res *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod - 2); } mint& operator/=(const mint a) { return (*this) *= a.inv(); } mint operator/(const mint a) const { mint res(*this); return res /= a; } }; istream& operator>>(istream& is, mint& a) { return is >> a.x; } ostream& operator<<(ostream& os, const mint& a) { return os << a.x; } ll n, m, c; mint calc(ll x, ll y) { mint mn = min(x, y) + 1; mint res = 0; res = res + (mint(1) + mn) * mn / mint(2); res = res + mint(y + 1) * mint(x - min(x, y)); mint mn2 = min(x, m - y - 1); res = res + (mint(1) + mn2) * mn2 * mint(2).inv(); res = res + mint(m - 1 - y) * mint(x - min(x, m - y - 1)); return res; } void solve() { mint ans = 0; cin >> n >> m >> c; for (int i = 1; i <= c; i++) { int x, y; mint v; cin >> x >> y >> v; --x, --y; ans = ans + calc(x, y) * v; } cout << ans << "\n"; } int main() { fastio; int t = 1; // cin >> t; while (t--) { solve(); } return 0; }