#include #include #define rep(i,n) for(int i=0;i vi; typedef vector vl; typedef vector> vvi; typedef vector> vvl; typedef long double ld; typedef pair P; template ostream& operator<<(ostream& os, const static_modint& a) {os << a.val(); return os;} template ostream& operator<<(ostream& os, const dynamic_modint& a) {os << a.val(); return os;} template istream& operator>>(istream& is, static_modint& a) {long long x; is >> x; a = x; return is;} template istream& operator>>(istream& is, dynamic_modint& a) {long long x; is >> x; a = x; return is;} template istream& operator>>(istream& is, vector& v){int n = v.size(); assert(n > 0); rep(i, n) is >> v[i]; return is;} template ostream& operator<<(ostream& os, const pair& p){os << p.first << ' ' << p.second; return os;} template ostream& operator<<(ostream& os, const vector& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : " "); return os;} template ostream& operator<<(ostream& os, const vector>& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : ""); return os;} template ostream& operator<<(ostream& os, const set& se){for(T x : se) os << x << " "; os << "\n"; return os;} template ostream& operator<<(ostream& os, const unordered_set& se){for(T x : se) os << x << " "; os << "\n"; return os;} template ostream& operator<<(ostream& os, const atcoder::segtree& seg){int n = seg.max_right(0, [](S){return true;}); rep(i, n) os << seg.get(i) << (i == n - 1 ? "\n" : " "); return os;} template ostream& operator<<(ostream& os, const atcoder::lazy_segtree& seg){int n = seg.max_right(0, [](S){return true;}); rep(i, n) os << seg.get(i) << (i == n - 1 ? "\n" : " "); return os;} template void chmin(T& a, T b){a = min(a, b);} template void chmax(T& a, T b){a = max(a, b);} random_device seed; mt19937 mt(seed()); const int INF = 100000; int main(){ int n; cin >> n; vector> x_great; vector> y_great; long long ans = 0; rep(i, n){ int c, x, y; cin >> c >> x >> y; int guarantee = min(x, y); ans += guarantee; x -= guarantee; y -= guarantee; if(x >= 0){ x_great.emplace_back(c, x); } if(y > 0){ y_great.emplace_back(n - c, y); } } auto solve = [&](vector> schedule){ long long score = 0; long long score_max = 0; int m = schedule.size(); if(m == 0) return 0LL; auto f = [&](int i, int d){ if(d >= schedule[i].first) return schedule[i].second; else return 0; }; uniform_int_distribution<> dist(0, m - 1); vector solution(m); // initial_solution rep(i, m) solution[i] = (n - m) + i; rep(i, m) score += f(i, solution[i]); // annealing int loop_cnt = 0; chrono::system_clock::time_point start = chrono::system_clock::now(); double TL = 800; double temp_start = 1000000000; double temp_end = 1; while(true){ chrono::system_clock::time_point now = chrono::system_clock::now(); double elapsed = std::chrono::duration_cast(now - start).count(); if(elapsed >= TL) break; int i = dist(mt); int j = dist(mt); long long delta_score = -(f(i, solution[i]) + f(j, solution[j])) + (f(i, solution[j]) + f(j, solution[i])); double temp = temp_start + (temp_end - temp_start) * elapsed / TL; double prob = exp(delta_score / temp); if(prob > (rand() % INF)/((double)INF)){ swap(solution[i], solution[j]); score += delta_score; chmax(score_max, score); } } return score_max; }; ans += solve(x_great); ans += solve(y_great); cout << ans << "\n"; return 0; }