#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef LOCAL # include "debug_print.hpp" # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif using namespace std; #define rep(i,n) for(int i=0; i<(n); i++) #define rrep(i,n) for(int i=(n)-1; i>=0; i--) #define FOR(i,a,b) for(int i=(a); i<(b); i++) #define RFOR(i,a,b) for(int i=(b-1); i>=(a); i--) #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); #define pb push_back using ll = long long; using D = double; using LD = long double; using P = pair; template using PQ = priority_queue>; template using minPQ = priority_queue, greater>; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b 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...); } const ll inf = 1e18; template struct Matrix{ int r,c; vector> a; Matrix(int r, int c, T init = -inf) : r(r), c(c), a(r, vector(c, init)) {} Matrix& unit(){ assert(r == c); rep(i,r) a[i][i] = 0; return *this; } const vector& operator[] (int i) const {return a[i];} vector& operator[] (int i) {return a[i];} Matrix operator* (const Matrix& b) const{ assert(c == b.r); Matrix res(r, b.c); rep(i,r)rep(k,c)rep(j,b.c) chmax(res[i][j], a[i][k] + b[k][j]); return res; } Matrix pow(ll k) const{ assert(r == c); Matrix now = *this; Matrix res = Matrix(r,c).unit(); while(k){ if(k & 1) res = res * now; now = now * now; k >>= 1; } return res; } }; using mat = Matrix; int main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); ll n; int m; in(n,m); mat a(m,m); rep(i,m)rep(j,m) in(a[j][i]); mat v(m,1); rep(i,m) v[i][0] = 0; v = a.pow(n-1) * v; ll ans = 0; rep(i,m) chmax(ans, v[i][0]); out(ans); }