/* #region Head */ // #include #include #include #include #include // assert.h #include // math.h #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; using ull = unsigned long long; using ld = long double; using pll = pair; template using vc = vector; template using vvc = vc>; using vll = vc; using vvll = vvc; using vld = vc; using vvld = vvc; using vs = vc; using vvs = vvc; template using um = unordered_map; template using pq = priority_queue; template using pqa = priority_queue, greater>; template using us = unordered_set; #define TREP(T, i, m, n) for (T i = (m), i##_len = (T)(n); i < i##_len; ++(i)) #define TREPM(T, i, m, n) for (T i = (m), i##_max = (T)(n); i <= i##_max; ++(i)) #define TREPR(T, i, m, n) for (T i = (m), i##_min = (T)(n); i >= i##_min; --(i)) #define TREPD(T, i, m, n, d) for (T i = (m), i##_len = (T)(n); i < i##_len; i += (d)) #define TREPMD(T, i, m, n, d) for (T i = (m), i##_max = (T)(n); i <= i##_max; i += (d)) #define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i)) #define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i)) #define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i)) #define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d)) #define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d)) #define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++) #define REPIR(itr, ds) for (auto itr = ds.rbegin(); itr != ds.rend(); itr++) #define ALL(x) begin(x), end(x) #define SIZE(x) ((ll)(x).size()) #define ISIZE(x) ((int)(x).size()) #define PERM(c) \ sort(ALL(c)); \ for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c))) #define UNIQ(v) v.erase(unique(ALL(v)), v.end()); #define CEIL(a, b) (((a) + (b)-1) / (b)) #define endl '\n' constexpr ll INF = 1'010'000'000'000'000'017LL; constexpr int IINF = 1'000'000'007LL; constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7 // constexpr ll MOD = 998244353; constexpr ld EPS = 1e-12; constexpr ld PI = 3.14159265358979323846; template istream &operator>>(istream &is, vc &vec) { // vector 入力 for (T &x : vec) is >> x; return is; } template ostream &operator<<(ostream &os, const vc &vec) { // vector 出力 (for dump) os << "{"; REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", "); os << "}"; return os; } template ostream &operator>>(ostream &os, const vc &vec) { // vector 出力 (inline) REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " "); return os; } template istream &operator>>(istream &is, array &arr) { // array 入力 REP(i, 0, SIZE(arr)) is >> arr[i]; return is; } template ostream &operator<<(ostream &os, const array &arr) { // array 出力 (for dump) os << "{"; REP(i, 0, SIZE(arr)) os << arr[i] << (i == i_len - 1 ? "" : ", "); os << "}"; return os; } template istream &operator>>(istream &is, pair &pair_var) { // pair 入力 is >> pair_var.first >> pair_var.second; return is; } template ostream &operator<<(ostream &os, const pair &pair_var) { // pair 出力 os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } // map, um, set, us 出力 template ostream &out_iter(ostream &os, const T &map_var) { os << "{"; REPI(itr, map_var) { os << *itr; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } return os << "}"; } template ostream &operator<<(ostream &os, const map &map_var) { return out_iter(os, map_var); } template ostream &operator<<(ostream &os, const um &map_var) { os << "{"; REPI(itr, map_var) { auto [key, value] = *itr; os << "(" << key << ", " << value << ")"; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } os << "}"; return os; } template ostream &operator<<(ostream &os, const set &set_var) { return out_iter(os, set_var); } template ostream &operator<<(ostream &os, const us &set_var) { return out_iter(os, set_var); } template ostream &operator<<(ostream &os, const pq &pq_var) { pq pq_cp(pq_var); os << "{"; if (!pq_cp.empty()) { os << pq_cp.top(), pq_cp.pop(); while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop(); } return os << "}"; } // tuple 出力 template ostream &operator<<(ostream &os, tuple &a) { if constexpr (N < std::tuple_size_v>) { os << get(a); if constexpr (N + 1 < std::tuple_size_v>) { os << ' '; } else if constexpr (end_line) { os << '\n'; } return operator<<(os, a); } return os; } template void print_tuple(tuple &a) { operator<<<0, true>(cout, a); } void pprint() { cout << endl; } template void pprint(Head &&head, Tail &&...tail) { cout << head; if (sizeof...(Tail) > 0) cout << ' '; pprint(move(tail)...); } // dump #define DUMPOUT cerr void dump_func() { DUMPOUT << endl; } template void dump_func(Head &&head, Tail &&...tail) { DUMPOUT << head; if (sizeof...(Tail) > 0) DUMPOUT << ", "; dump_func(move(tail)...); } // chmax (更新「される」かもしれない値が前) template > bool chmax(T &xmax, const U &x, Comp comp = {}) { if (comp(xmax, x)) { xmax = x; return true; } return false; } // chmin (更新「される」かもしれない値が前) template > bool chmin(T &xmin, const U &x, Comp comp = {}) { if (comp(x, xmin)) { xmin = x; return true; } return false; } // ローカル用 #ifndef ONLINE_JUDGE #define DEBUG_ #endif #ifndef MYLOCAL #undef DEBUG_ #endif #ifdef DEBUG_ #define DEB #define dump(...) \ DUMPOUT << " " << string(#__VA_ARGS__) << ": " \ << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl \ << " ", \ dump_func(__VA_ARGS__) #else #define DEB if (false) #define dump(...) #endif #define VAR(type, ...) \ type __VA_ARGS__; \ cin >> __VA_ARGS__; template istream &operator,(istream &is, T &rhs) { return is >> rhs; } template ostream &operator,(ostream &os, const T &rhs) { return os << ' ' << rhs; } struct AtCoderInitialize { static constexpr int IOS_PREC = 15; static constexpr bool AUTOFLUSH = false; AtCoderInitialize() { ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr); cout << fixed << setprecision(IOS_PREC); if (AUTOFLUSH) cout << unitbuf; } } ATCODER_INITIALIZE; void Yn(bool p) { cout << (p ? "Yes" : "No") << endl; } void YN(bool p) { cout << (p ? "YES" : "NO") << endl; } template constexpr void operator--(vc &v, int) noexcept { for (int i = 0; i < ISIZE(v); ++i) v[i]--; } /* #endregion */ // #include // using namespace atcoder; /* #region dijkstra_f */ /** * @param N ノード数 * @param delta 隣接行列を生成する関数.delta(Node v, fn(Node t)). * fn は現在の頂点 current と隣接する頂点を探索する関数. * @param index 頂点→頂点インデックス,のマップ関数.(index(Node v) -> int) * @return 距離テーブル */ template vc dijkstra_f(int N, const vc &starts, Delta delta, Index index, Weight init = 0) { struct state { Weight cost; Node dst; state(Weight cost, Node dst) : cost(cost), dst(dst) {} bool operator<(const state &o) const { return cost > o.cost; } // bool operator>(const state &o) const { return cost > o.cost; } }; vc dist(N, inf); // 距離テーブル priority_queue que; // 「訪問予定」頂点リスト for (const Node &start : starts) { int idx = index(start); assert(0 <= idx && idx < N); dist[idx] = init; // 初期条件 (頂点 start を初期頂点とする) que.emplace(init, start); } while (!que.empty()) { state cur = que.top(); // tie(d, v) = que.top(); que.pop(); Node current = cur.dst; Weight cur_dist = cur.cost; dump(current, cur_dist); // 隣接ノードに関するループは外に出す delta(current, cur_dist, [&](Node dst, Weight weight) -> void { ll nxt_dist = cur_dist + weight; int idx = index(dst); assert(0 <= idx && idx < N); if (chmin(dist[idx], nxt_dist)) { que.emplace(nxt_dist, dst); } }); } return dist; } /* #endregion */ // Problem void solve() { VAR(ll, h, w); vvll a(h, vll(w)); cin >> a; // 右 or 下 or 上(負けた場合のみ) using Node = array; // x,y,コンティニューしたかどうか const static vll dx{1, 0, -1, 0}; Node start = {0, 0, 0}; const ll GETA = 1000'000'000; // 隣接行列生成関数 // cur_dist はダメージ量 auto delta = [&](const Node ¤t, ll cur_dist, function transit) -> void { auto [i, j, f] = current; ll cnt = i + j; // 隣接ノードに関するループ if (i < h - 1) { // 下 if (a[0][0] - (cur_dist - cnt * GETA) > a[i + 1][j]) { transit(Node{i + 1, j, f}, GETA - a[i + 1][j]); // 遷移 } else if (f == 0 && !(i + 1 == h - 1 && j == w - 1)) { transit(Node{i + 1, j, 1}, GETA); } } if (j < w - 1) { // 右 if (a[0][0] - (cur_dist - cnt * GETA) > a[i][j + 1]) { transit(Node{i, j + 1, f}, GETA - a[i][j + 1]); // 遷移 } else if (f == 0 && !(i == h - 1 && j + 1 == w - 1)) { transit(Node{i, j + 1, 1}, GETA); } } }; // インデックス生成関数 auto index = [&](const Node &v) -> int { auto [i, j, f] = v; return (h * w) * f + (i * w + j); }; vll dist = dijkstra_f(h * w * 2, vc{start}, delta, index, 0LL); // dump(dist); ll hp0 = (a[0][0] - (dist[index({h - 1, w - 1, 0})] - (h + w - 2) * GETA)); ll hp1 = (a[0][0] - (dist[index({h - 1, w - 1, 1})] - (h + w - 2) * GETA)); Yn(hp0 > 0 || hp1 > 0); } // entry point int main() { solve(); return 0; }