// >>> TEMPLATES #include using namespace std; using ll = long long; using ld = long double; #define int ll #define double ld #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define rep1(i,n) for (int i = 1; i <= (int)(n); i++) #define repR(i,n) for (int i = (int)(n)-1; i >= 0; i--) #define rep1R(i,n) for (int i = (int)(n); i >= 1; i--) #define loop(i,a,B) for (int i = a; i B; i++) #define loopR(i,a,B) for (int i = a; i B; i--) #define all(x) (x).begin(), (x).end() #define allR(x) (x).rbegin(), (x).rend() #define pb push_back #define eb emplace_back #define mp make_pair #define fst first #define snd second #define INF (numeric_limits::max()/2-1) #ifdef LOCAL #include "debug.hpp" #define dump(...) cerr << "[" << __LINE__ << ":" << __FUNCTION__ << "] ", dump_impl(#__VA_ARGS__, __VA_ARGS__) #define say(x) cerr << "[" << __LINE__ << ":" << __FUNCTION__ << "] " << x << endl #define debug if (1) #else #define dump(...) (void)(0) #define say(x) (void)(0) #define debug if (0) #endif template using pque_max = priority_queue; template using pque_min = priority_queue, greater >; template ::value>::type> ostream& operator<<(ostream& os, T const& v) { bool f = true; for (auto const& x : v) os << (f ? "" : " ") << x, f = false; return os; } template ::value>::type> istream& operator>>(istream& is, T &v) { for (auto& x : v) is >> x; return is; } template istream& operator>>(istream& is, pair& p) { return is >> p.first >> p.second; } struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup; template struct FixPoint : private F { constexpr FixPoint(F&& f) : F(forward(f)) {} template constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward(x)...); } }; struct MakeFixPoint { template constexpr auto operator|(F&& f) const { return FixPoint(forward(f)); } }; #define MFP MakeFixPoint()| #define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__) template struct vec_impl { using type = vector::type>; template static type make_v(size_t n, U&&... x) { return type(n, vec_impl::make_v(forward(x)...)); } }; template struct vec_impl { using type = T; static type make_v(T const& x = {}) { return x; } }; template using vec = typename vec_impl::type; template auto make_v(Args&&... args) { return vec_impl::make_v(forward(args)...); } template void quit(T const& x) { cout << x << endl; exit(0); } template constexpr bool chmin(T& x, T const& y) { if (x > y) { x = y; return true; } return false; } template constexpr bool chmax(T& x, T const& y) { if (x < y) { x = y; return true; } return false; } template constexpr auto sumof(It b, It e) { return accumulate(b,e,typename iterator_traits::value_type{}); } template int sz(T const& x) { return x.size(); } // <<< // >>> segment tree template struct Segtree : Handler { using Value = typename Handler::Value; using Handler::unit; // () -> Value using Handler::merge; // (Value,Value) -> Value vector v; // use v[1..2*cap-1] int cap; // capacity: power of 2 int n; // original size Segtree() {} Segtree(int n) { init(n); } template Segtree(It first, It last) { init(first, last); } void init(int n) { assert(n >= 0); this->n = n; for (cap = 1; cap < n; cap <<= 1) ;; v.assign(2*cap, unit()); } template void init(It first, It last) { init(distance(first,last)); copy(first, last, next(v.begin(), cap)); for (int i = cap-1; i >= 1; i--) v[i] = merge(v[2*i],v[2*i+1]); } int size() const { return n; } void set(int i, Value const& x) { assert(0 <= i && i < size()); i += cap; v[i] = x; while (i > 1) i >>= 1, v[i] = merge(v[2*i],v[2*i+1]); } Value operator[](int i) const { return get(i); } Value get(int i) const { assert(0 <= i && i < size()); return v[cap + i]; } // [l,r) Value get(int l, int r) const { assert(0 <= l && l <= r && r <= size()); Value x = unit(), y = unit(); for (l += cap, r += cap; l < r; l >>= 1, r >>= 1) { if (l&1) x = merge(x, v[l++]); if (r&1) y = merge(v[--r], y); } return merge(x,y); } vector dat() const { vector ret(size()); for (int i = 0; i < size(); i++) ret[i] = get(i); return ret; } }; // <<< struct RangeMax { using Value = int; constexpr static Value unit() { return 0; } constexpr static Value merge(Value x, Value y) { return max(x,y); } }; // >>> coordinate compression template struct Compress { vector v; bool ok = false; void add(T const& x) { ok = false; v.push_back(x); } template void add(It f, It l) { ok = false; copy(f,l,back_inserter(v)); } void init() { sort(all(v)); v.erase(unique(all(v)), v.end()); ok = true; } int size() const { return v.size(); } T operator[](int i) const { assert(ok); return v[i]; } int find(T const& x) const { assert(ok); auto it = lower_bound(all(v),x); //assert(*it == x); return it-v.begin(); } }; // <<< int32_t main() { int H,W,q; cin >> W >> H >> q; vector x(q),y(q),L(q); Compress Z; Z.add(0), Z.add(W), Z.add(H); rep (i,q) cin >> x[i] >> y[i] >> L[i], Z.add(x[i]), Z.add(y[i]); Z.init(); dump(Z.v); rep (i,q) x[i] = Z.find(x[i]), y[i] = Z.find(y[i]); int n = Z.size(); Segtree seg_u(n), seg_d(n), seg_l(n), seg_r(n); auto fl = [&](auto &seg, int L, int val) -> int { dump(L,val); dump(seg.dat()); if (seg.get(0,L) < val) return n; int l = 0, r = L; while (l+1 < r) { int m = (l+r)/2; (seg.get(0,m) < val ? l : r) = m; } dump(l,r); assert(seg.get(0,l) < val); assert(seg.get(l) >= val); return l; }; auto fr = [&](auto &seg, int L, int val) -> int { dump(L,val); dump(seg.dat()); if (seg.get(L,n) < val) return -1; int l = L, r = n; while (l+1 < r) { int m = (l+r)/2; (seg.get(m,n) < val ? r : l) = m; } dump(l,r); assert(seg.get(l+1,n) < val); assert(seg.get(l) >= val); return l; }; rep (i,q) { if (Z[x[i]] == 0) { say("Z[x[i]] == 0"); int xx = 1+min(H,seg_u.get(y[i])+L[i]); int il = fl(seg_l, Z.find(xx), Z[y[i]]); int ir = fl(seg_r, Z.find(xx), W+1-Z[y[i]]); dump(xx,il,ir); if (il < ir) { seg_u.set(y[i],0); seg_l.set(il,0); } else if (il > ir) { seg_u.set(y[i],0); seg_r.set(ir,0); } else { assert(il == n); if (seg_u.get(y[i])+L[i]+seg_d.get(y[i]) > H) { seg_u.set(y[i],0); seg_d.set(y[i],0); } else { seg_u.set(y[i], seg_u.get(y[i])+L[i]); } } } else if (Z[y[i]] == 0) { say("Z[y[i]] == 0"); int yy = 1+min(W,seg_l.get(x[i])+L[i]); int iu = fl(seg_u, Z.find(yy), Z[x[i]]); int id = fl(seg_d, Z.find(yy), H+1-Z[x[i]]); dump(yy,iu,id); if (iu < id) { seg_l.set(x[i],0); seg_u.set(iu,0); } else if (iu > id) { seg_l.set(x[i],0); seg_d.set(id,0); } else { assert(iu == n); if (seg_l.get(x[i])+L[i]+seg_r.get(x[i]) > W) { seg_l.set(x[i],0); seg_r.set(x[i],0); } else { seg_l.set(x[i], seg_l.get(x[i])+L[i]); } } } else if (Z[x[i]] == H+1) { say("Z[x[i]] == H+1"); int xx = 1+H-min(H,seg_d.get(y[i])+L[i]); int il = fr(seg_l, Z.find(xx), Z[y[i]]); int ir = fr(seg_r, Z.find(xx), W+1-Z[y[i]]); dump(xx,il,ir); if (il < ir) { seg_d.set(y[i],0); seg_r.set(ir,0); } else if (il > ir) { seg_d.set(y[i],0); seg_l.set(il,0); } else { assert(il == -1); if (seg_u.get(y[i])+L[i]+seg_d.get(y[i]) > H) { seg_u.set(y[i],0); seg_d.set(y[i],0); } else { seg_d.set(y[i], L[i]+seg_d.get(y[i])); } } } else if (Z[y[i]] == W+1) { say("Z[y[i]] == W+1"); int yy = 1+W-min(W,seg_r.get(x[i])+L[i]); int iu = fr(seg_u, Z.find(yy), Z[x[i]]); int id = fr(seg_d, Z.find(yy), H+1-Z[x[i]]); dump(yy,iu,id); if (iu < id) { seg_r.set(x[i],0); seg_d.set(id,0); } else if (iu > id) { seg_r.set(x[i],0); seg_u.set(iu,0); } else { assert(iu == -1); if (seg_l.get(x[i])+L[i]+seg_r.get(x[i]) > W) { seg_l.set(x[i],0); seg_r.set(x[i],0); } else { seg_r.set(x[i], L[i]+seg_r.get(x[i])); } } } else { assert(0); } } int sum = 0; rep (i,n) sum += seg_u.get(i); rep (i,n) sum += seg_d.get(i); rep (i,n) sum += seg_l.get(i); rep (i,n) sum += seg_r.get(i); cout << sum << endl; }