#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; int main() { int n, m; cin >> n >> m; vector c(n, vector(n, 1)); while (m--) { int h, w, ci; cin >> h >> w >> ci; --h; --w; c[h][w] += ci; } vector dist(n, vector(n, vector(2, LINF))); dist[0][0][false] = 0; using P = pair>; priority_queue, greater

> que; que.emplace(0, make_tuple(0, 0, false)); while (!que.empty()) { auto [cost, node] = que.top(); que.pop(); auto [i, j, b] = node; if (cost > dist[i][j][b]) continue; REP(k, 4) { int y = i + dy[k], x = j + dx[k]; if (0 <= y && y < n && 0 <= x && x < n) { int nx = cost + c[y][x]; if (nx < dist[y][x][b]) { dist[y][x][b] = nx; que.emplace(nx, make_tuple(y, x, b)); } if (c[y][x] > 1 && !b && cost + 1 < dist[y][x][true]) { dist[y][x][true] = cost + 1; que.emplace(cost + 1, make_tuple(y, x, true)); } } } } cout << *min_element(ALL(dist[n - 1][n - 1])) << '\n'; return 0; }