#include #define ADD(a, b) a = (a + ll(b)) % mod #define MUL(a, b) a = (a * ll(b)) % mod #define MAX(a, b) a = max(a, b) #define MIN(a, b) a = min(a, b) #define rep(i, a, b) for(int i = int(a); i < int(b); i++) #define rer(i, a, b) for(int i = int(a) - 1; i >= int(b); i--) #define all(a) (a).begin(), (a).end() #define sz(v) (int)(v).size() #define pb push_back #define sec second #define fst first #define debug(fmt, ...) Debug(__LINE__, ":", fmt, ##__VA_ARGS__) using namespace std; typedef long long ll; typedef unsigned long long ull; typedef pair pi; typedef pair pl; typedef pair ppi; typedef vector vi; typedef vector vl; typedef vector mat; typedef complex comp; void Debug() {cerr << '\n'; } templatevoid Debug(FIRST arg, REST... rest){ cerr<ostream& operator<<(ostream& out,const vector& v) { out<<"[";if(!v.empty()){rep(i,0,sz(v)-1)out<ostream& operator<<(ostream& out,const pair& v){ out<<"("<> NN; rep(i, 0, NN) cin >> A[i] >> B[i] >> C[i]; NL = (NN + 1) / 2; NR = NN - NL; vx.clear(); vi vxl, vxr; loop(0, 0, 0, NL + 1); vxl = vx; vx.clear(); loop(0, 0, 0, NR); loop(0, 1, 0, NR); vxr = vx; vector D, E; rep(i, 0, sz(vxl)) { int bit = vxl[i]; ll a = 0, b = 0; rep(i, 0, NL) { if(!(bit & (1 << i)) && !(bit & (1 << (i + 1)))) { a += A[i]; } if(bit & (1 << i)) { a -= C[i]; b += B[i]; } } if(bit & (1 << NL)) D.pb(pl(a, b)); else E.pb(pl(a, b)); } D.pb(pl(linf, -linf)); E.pb(pl(linf, -linf)); sort(all(D)); sort(all(E)); rer(i, sz(D), 1) MAX(D[i - 1].sec, D[i].sec); rer(i, sz(E), 1) MAX(E[i - 1].sec, E[i].sec); // debug(D, E); ll res = 0; rep(i, 0, sz(vxr)) { int bit = vxr[i]; ll a = 0, b = 0; rep(i, 0, NR) { if(!(bit & (1 << i)) && !(bit & (1 << (i + 1)))) { a += A[i + NL]; } else if(bit & (1 << i)) { a -= C[i + NL]; b += B[i + NL]; } } if(bit & 1) { pl p = *lower_bound(all(D), pl(a * -1, -linf)); MAX(res, b + p.sec); } else { pl p = *lower_bound(all(E), pl(a * -1, -linf)); MAX(res, b + p.sec); } } cout << res << "\n"; } uint32_t rd() { uint32_t res; #ifdef __MINGW32__ asm volatile("rdrand %0" :"=a"(res) ::"cc"); #else res = std::random_device()(); #endif return res; } int main() { #ifndef LOCAL ios::sync_with_stdio(false); cin.tie(0); #endif cout << fixed; cout.precision(20); cerr << fixed; cerr.precision(6); rng.seed(rd()); #ifdef LOCAL //freopen("in.txt", "wt", stdout); //for tester if(!freopen("in.txt", "rt", stdin)) return 1; #endif solve(); cerr << "Time: " << 1.0 * clock() / CLOCKS_PER_SEC << " s.\n"; return 0; }