#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint998244353; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } ll calc_val(ll x, ll y) { // 初項が x で項数 y の公差 -1 if (x <= y) { return x * (x + 1) / 2; } return (x + x - y + 1) * y / 2; } int main() { ll N; cin >> N; vector A(N, vector(3)); for (ll i = 0; i < N; i++) { for (ll j = 0; j < 3; j++) { cin >> A[i][j]; } } ll INF = 100000000000000023; // 現在の攻撃力が j であるときの与えられるダメージの総和の最大値 vector dp(N + 1, vector(3, -INF)); dp[0][0] = 0; dp[0][1] = 0; dp[0][2] = 0; for (ll i = 0; i < N; i++) { // その状態で何ダメージ与えられるか? // 攻撃力がどれくらい上がるかを、検証すれば OK vector ndp(N + 1, vector(3, -INF)); for (ll j = 0; j <= N; j++) { // N - i 回加算が行われる for (ll k = 0; k < 3; k++) { for (ll l = 0; l < 3; l++) { if (k == l) { continue; } // N - i 回のうち、最初の j 回はそのまま加算、残りは等差数列 ll prod = min(N - i, j) * A[i][l]; ll rem = N - i - j; if (rem > 0) { prod += calc_val(A[i][l], rem); } ndp[min(max(j + A[i][l] - 1, 0LL), N)][l] = max(ndp[min(max(j + A[i][l] - 1, 0LL), N)][l], dp[j][k] + prod); } } } // debug(ndp); for (ll j = 0; j <= N; j++) { for (ll k = 0; k < 3; k++) { dp[j][k] = ndp[j][k]; } } } ll ans = 0; for (ll i = 0; i <= N; i++) { for (ll j = 0; j < 3; j++) { ans = max(ans, dp[i][j]); } } cout << ans << endl; }