/** * date : 2020-11-30 22:08:30 */ #define NDEBUG #include #define PROBLEM "http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=2945" // using namespace std; // intrinstic #include // bits #include // utility namespace Nyaan { using ll = long long; using i64 = long long; using u64 = unsigned long long; using i128 = __int128_t; using u128 = __uint128_t; template using V = vector; template using VV = vector>; using vi = vector; using vl = vector; using vd = V; using vs = V; using vvi = vector>; using vvl = vector>; template struct P : pair { template P(Args... args) : pair(args...) {} using pair::first; using pair::second; T &x() { return first; } const T &x() const { return first; } U &y() { return second; } const U &y() const { return second; } P &operator+=(const P &r) { first += r.first; second += r.second; return *this; } P &operator-=(const P &r) { first -= r.first; second -= r.second; return *this; } P &operator*=(const P &r) { first *= r.first; second *= r.second; return *this; } P operator+(const P &r) const { return P(*this) += r; } P operator-(const P &r) const { return P(*this) -= r; } P operator*(const P &r) const { return P(*this) *= r; } }; using pl = P; using pi = P; using vp = V; constexpr int inf = 1001001001; constexpr long long infLL = 4004004004004004004LL; template int sz(const T &t) { return t.size(); } template void mem(T (&a)[N], int c) { memset(a, c, sizeof(T) * N); } template inline bool amin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool amax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template int lb(const vector &v, const T &a) { return lower_bound(begin(v), end(v), a) - begin(v); } template int ub(const vector &v, const T &a) { return upper_bound(begin(v), end(v), a) - begin(v); } template int btw(T a, T x, T b) { return a <= x && x < b; } template T ceil(T a, U b) { return (a + b - 1) / b; } constexpr long long TEN(int n) { long long ret = 1, x = 10; for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1); return ret; } template pair mkp(const T &t, const U &u) { return make_pair(t, u); } template vector mkrui(const vector &v, bool rev = false) { vector ret(v.size() + 1); if (rev) { for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1]; } else { for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i]; } return ret; }; template vector mkuni(const vector &v) { vector ret(v); sort(ret.begin(), ret.end()); ret.erase(unique(ret.begin(), ret.end()), ret.end()); return ret; } template vector mkord(int N, F f) { vector ord(N); iota(begin(ord), end(ord), 0); sort(begin(ord), end(ord), f); return ord; } template vector reord(const vector &v, const vector &ord) { int N = v.size(); vector ret(N); for (int i = 0; i < N; i++) ret[i] = v[ord[i]]; return ret; }; template vector mkiota(int N) { vector ret(N); iota(begin(ret), end(ret), 0); return ret; } template vector mkinv(vector &v, int max_val = -1) { if (max_val < (int)v.size()) max_val = v.size() - 1; vector inv(max_val + 1, -1); for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i; return inv; } } // namespace Nyaan // bit operation namespace Nyaan { __attribute__((target("popcnt"))) inline int popcnt(const u64 &a) { return _mm_popcnt_u64(a); } __attribute__((target("bmi"))) inline int botbit(const u64 &a) { return _tzcnt_u64(a); } __attribute__((target("bmi"))) inline int ctz(const u64 &a) { return _tzcnt_u64(a); } __attribute__((target("lzcnt"))) inline int topbit(const u64 &a) { return 63 - _lzcnt_u64(a); } __attribute__((target("lzcnt"))) inline int clz64(const u64 &a) { return _lzcnt_u64(a); } template inline int gbit(const T &a, int i) { return (a >> i) & 1; } template inline void sbit(T &a, int i, bool b) { a ^= (gbit(a, i) == b ? 0 : (T(b) << i)); } constexpr long long PW(int n) { return 1LL << n; } constexpr long long MSK(int n) { return (1LL << n) - 1; } } // namespace Nyaan // inout namespace Nyaan { template ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &... u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &... u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template void outr(const T &t, const U &... u) { cout << t; outr(u...); } struct IoSetupNya { IoSetupNya() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetupnya; } // namespace Nyaan // debug namespace DebugImpl { void dump(const char& t) { cerr << t; } void dump(const string& t) { cerr << t; } template void dump(const T& t, enable_if_t::value>* = nullptr) { string res; if (t == Nyaan::inf) res = "inf"; if (is_signed::value) if (t == -Nyaan::inf) res = "-inf"; if (sizeof(T) == 8) { if (t == Nyaan::infLL) res = "inf"; if (is_signed::value) if (t == -Nyaan::infLL) res = "-inf"; } if (res.empty()) res = to_string(t); cerr << res; } template void dump(const pair&); template void dump(const pair&); template void dump(const T& t, enable_if_t::value>* = nullptr) { cerr << "[ "; for (auto it = t.begin(); it != t.end();) { dump(*it); cerr << (++it == t.end() ? " ]" : ", "); } } template void dump(const pair& t) { cerr << "( "; dump(t.first); cerr << ", "; dump(t.second); cerr << " )"; } template void dump(const pair& t) { cerr << "[ "; for (int i = 0; i < t.second; i++) { dump(t.first[i]); cerr << (i == t.second - 1 ? " ]" : ", "); } } void trace() { cerr << endl; } template void trace(Head&& head, Tail&&... tail) { cerr << " "; dump(head); if (sizeof...(tail) != 0) cerr << ","; trace(forward(tail)...); } } // namespace DebugImpl using DebugImpl::trace; #ifdef NyaanDebug #define trc(...) \ do { \ cerr << "## " << #__VA_ARGS__ << " = "; \ DebugImpl::trace(__VA_ARGS__); \ } while (0) #else #define trc(...) #endif // macro #define each(x, v) for (auto&& x : v) #define all(v) (v).begin(), (v).end() #define rep(i, N) for (long long i = 0; i < (long long)(N); i++) #define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--) #define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++) #define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--) #define reg(i, a, b) for (long long i = (a); i < (b); i++) #define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--) #define repc(i, a, cond) for (long long i = (a); (cond); i++) #define ini(...) \ int __VA_ARGS__; \ in(__VA_ARGS__) #define inl(...) \ long long __VA_ARGS__; \ in(__VA_ARGS__) #define ins(...) \ string __VA_ARGS__; \ in(__VA_ARGS__) #define inc(...) \ char __VA_ARGS__; \ in(__VA_ARGS__) #define in2(s, t) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i]); \ } #define in3(s, t, u) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i]); \ } #define in4(s, t, u, v) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i], v[i]); \ } #define die(...) \ do { \ Nyaan::out(__VA_ARGS__); \ return; \ } while (0) namespace Nyaan { void solve(); } int main() { Nyaan::solve(); } // using namespace std; template struct DimensionExpandedGraph { static_assert(is_signed::value, "Data_t must be signed."); using DG = DimensionExpandedGraph; struct A : array { using array::operator[]; #pragma GCC diagnostic ignored "-Wnarrowing" template A(Args... args) : array({args...}) {} #pragma GCC diagnostic warning "-Wnarrowing" A &operator+=(const A &r) { for (int i = 0; i < DIM; i++) (*this)[i] += r[i]; return *this; } A &operator-=(const A &r) { for (int i = 0; i < DIM; i++) (*this)[i] -= r[i]; return *this; } A operator+(const A &r) { return (*this) += r; } A operator-(const A &r) { return (*this) -= r; } int id() const { return DG::id(*this); } friend int id(const A &a) { return DG::id(a); } bool ok() const { return DG::ok(*this); } friend bool ok(const A &a) { return DG::ok(a); } inline bool is_add() const { return (*this)[0] == ADD; } friend inline bool is_add(const A &a) { return a[0] == ADD; } vector near() const { static vector res; res.clear(); if (is_add() == true) return res; for (int i = 0; i < DIM; i++) { A asc(*this), dec(*this); asc[i]++; dec[i]--; if (asc[i] != g_size[i]) res.push_back(asc); if (dec[i] != -1) res.push_back(dec); } return res; } friend vector near(const A &a) { return a.near(); } }; static int N, add_node; static A g_size, coeff; static constexpr int ADD = numeric_limits::min(); static int id(const A &a) { if (a[0] == ADD) return N + a[1]; int ret = 0; for (int i = 0; i < DIM; i++) { ret += a[i] * coeff[i]; } return ret; } template static int id(const T &... t) { return id(A{t...}); } static bool ok(const A &a) { if (a[0] == ADD) { return 0 <= a[1] && a[1] < add_node; } for (int i = 0; i < DIM; i++) if (a[i] < 0 or g_size[i] <= a[i]) return false; return true; } template static bool ok(const T &... t) { return ok(A{t...}); } static A ad(int n) { return A{DG::ADD, n}; }; vector grid; vector dat; explicit DimensionExpandedGraph() = default; template explicit DimensionExpandedGraph(const T &... t) { set(t...); } template void set(const T &... t) { N = 1; g_size = A{t...}; coeff.fill(1); for (int i = 0; i < DIM; i++) { assert(g_size[i] != 0); for (int j = 0; j < i; j++) coeff[j] *= g_size[i]; N *= g_size[i]; } dat.resize(N + add_node, -1); } void add(int n) { add_node = n; dat.resize(N + add_node, -1); } void scan(istream &is = std::cin) { grid.reserve(N); int l = g_size[DIM - 1]; for (int i = 0; i < N; i += l) { string s; is >> s; copy(begin(s), end(s), back_inserter(grid)); } } friend istream &operator>>(istream &is, DG &g) { g.scan(is); return is; } vector &get_grid() { return grid; } char &operator()(const A &a) { return grid[id(a)]; } template char &operator()(const T &... t) { return grid[id(t...)]; } A find(const char &c) { A a{}; fill(begin(a), end(a), 0); a[DIM - 1] = -1; while (true) { a[DIM - 1]++; for (int i = DIM - 1;; i--) { if (a[i] != g_size[i]) break; if (i == 0) return a; a[i] = 0; a[i - 1]++; } if ((*this)(a) == c) return a; } } template vector bfs(F f, A s) { vector dist(N + add_node, -1); if (!ok(s)) return dist; vector Q; dist[id(s)] = 0; Q.push_back(s); while (!Q.empty()) { A c = Q.back(); Q.pop_back(); int dc = dist[id(c)]; f(c, [&](A d) { if (!ok(d)) return; if (dist[id(d)] == -1) { dist[id(d)] = dc + 1; Q.push_back(d); } }); } return dist; } template vector bfs01(F f, A s) { vector dist(N + add_node, -1); if (!ok(s)) return dist; deque Q; dist[id(s)] = 0; Q.push_back(s); while (!Q.empty()) { A c = Q.front(); Q.pop_front(); int dc = dist[id(c)]; f(c, [&](A d, Data_t w) { if (!ok(d)) return; if (dist[id(d)] == -1) { dist[id(d)] = dc + w; if (w == 0) Q.push_front(d); else Q.push_back(d); } }); } return dist; } template static vector dijkstra(F f, A s) { vector dist(N, -1); using P = pair; auto cmp = [](P &a, P &b) { return a.first > b.first; }; priority_queue, decltype(cmp)> Q(cmp); assert(id(s) != -1); dist[id(s)] = 0; Q.emplace(0, s); while (!Q.empty()) { Dist_t dc; A c; tie(dc, c) = Q.top(); Q.pop(); if (dist[id(c)] < dc) continue; f(c, [&](A d, Dist_t w) { if (!ok(d)) return; if (dist[id(d)] == -1 || dist[id(d)] > dc + w) { dist[id(d)] = dc + w; Q.emplace(dc + w, d); } }); } return dist; } // Union Find int find(A u) { return dat[id(u)] < 0 ? id(u) : dat[id(u)] = find(dat[id(u)]); } bool same(A u, A v) { return find(u) == find(v); } bool unite(A u, A v) { if ((u = find(u)) == (v = find(v))) return false; int iu = id(u), iv = id(v); if (dat[iu] > dat[iv]) swap(iu, iv); dat[iu] += dat[iv]; dat[iv] = iu; return true; } Data_t size(A u) { return -dat[find(u)]; } }; template int DimensionExpandedGraph::N = 0; template int DimensionExpandedGraph::add_node = 0; template typename DimensionExpandedGraph::A DimensionExpandedGraph::g_size; template typename DimensionExpandedGraph::A DimensionExpandedGraph::coeff; // using namespace Nyaan; void Nyaan::solve() { ini(n,m); DimensionExpandedGraph<3> g(n,n,2); vvi fee(n,vi(n)); rep(i,m){ ini(h,w,c); --h,--w; fee[h][w]=c; } auto d=g.dijkstra( [&](auto a,auto f) { each(nx,a.near()){ if(nx[2]!=a[2])continue; f(nx, 1+fee[nx[0]][nx[1]]); if(a[2]==0){ auto nx2 =nx; nx2[2]++; f(nx2, 1); } } }, {0,0,0} ); out(min(d[g.id(n-1,n-1,0)],d[g.id(n-1,n-1,1)])); }