#ifndef HIDDEN_IN_VS // 折りたたみ用 // 警告の抑制 #define _CRT_SECURE_NO_WARNINGS // ライブラリの読み込み #include using namespace std; // 型名の短縮 using ll = long long; using ull = unsigned long long; // -2^63 ~ 2^63 = 9 * 10^18(int は -2^31 ~ 2^31 = 2 * 10^9) using pii = pair; using pll = pair; using pil = pair; using pli = pair; using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; using vb = vector; using vvb = vector; using vvvb = vector; using vc = vector; using vvc = vector; using vvvc = vector; using vd = vector; using vvd = vector; using vvvd = vector; template using priority_queue_rev = priority_queue, greater>; using Graph = vvi; // 定数の定義 const double PI = acos(-1); const vi DX = { 1, 0, -1, 0 }; // 4 近傍(下,右,上,左) const vi DY = { 0, 1, 0, -1 }; int INF = 1001001001; ll INFL = 4004004003104004004LL; // (int)INFL = 1010931620; // 入出力高速化 struct fast_io { fast_io() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(18); } } fastIOtmp; // 汎用マクロの定義 #define all(a) (a).begin(), (a).end() #define sz(x) ((int)(x).size()) #define lbpos(a, x) (int)distance((a).begin(), std::lower_bound(all(a), x)) #define ubpos(a, x) (int)distance((a).begin(), std::upper_bound(all(a), x)) #define Yes(b) {cout << ((b) ? "Yes\n" : "No\n");} #define YES(b) {cout << ((b) ? "YES\n" : "NO\n");} #define rep(i, n) for(int i = 0, i##_len = int(n); i < i##_len; ++i) // 0 から n-1 まで昇順 #define repi(i, s, t) for(int i = int(s), i##_end = int(t); i <= i##_end; ++i) // s から t まで昇順 #define repir(i, s, t) for(int i = int(s), i##_end = int(t); i >= i##_end; --i) // s から t まで降順 #define repe(v, a) for(const auto& v : (a)) // a の全要素(変更不可能) #define repea(v, a) for(auto& v : (a)) // a の全要素(変更可能) #define repb(set, d) for(int set = 0, set##_ub = 1 << int(d); set < set##_ub; ++set) // d ビット全探索(昇順) #define repis(i, set) for(int i = lsb(set), bset##i = set; i >= 0; bset##i -= 1 << i, i = lsb(bset##i)) // set の全要素(昇順) #define repp(a) sort(all(a)); for(bool a##_perm = true; a##_perm; a##_perm = next_permutation(all(a))) // a の順列全て(昇順) #define smod(n, m) ((((n) % (m)) + (m)) % (m)) // 非負mod #define uniq(a) {sort(all(a)); (a).erase(unique(all(a)), (a).end());} // 重複除去 #define EXIT(a) {cout << (a) << endl; exit(0);} // 強制終了 #define inQ(x, y, u, l, d, r) ((u) <= (x) && (l) <= (y) && (x) < (d) && (y) < (r)) // 矩形内判定 // 汎用関数の定義 template inline ll pow(T n, int k) { ll v = 1; rep(i, k) v *= n; return v; } template inline bool chmax(T& M, const T& x) { if (M < x) { M = x; return true; } return false; } // 最大値を更新(更新されたら true を返す) template inline bool chmin(T& m, const T& x) { if (m > x) { m = x; return true; } return false; } // 最小値を更新(更新されたら true を返す) template inline T get(T set, int i) { return (set >> i) & T(1); } // 演算子オーバーロード template inline istream& operator>>(istream& is, pair& p) { is >> p.first >> p.second; return is; } template inline istream& operator>>(istream& is, vector& v) { repea(x, v) is >> x; return is; } template inline vector& operator--(vector& v) { repea(x, v) --x; return v; } template inline vector& operator++(vector& v) { repea(x, v) ++x; return v; } #endif // 折りたたみ用 #if __has_include() #include using namespace atcoder; #ifdef _MSC_VER #include "localACL.hpp" #endif //using mint = modint1000000007; using mint = modint998244353; //using mint = modint; // mint::set_mod(m); namespace atcoder { inline istream& operator>>(istream& is, mint& x) { ll x_; is >> x_; x = x_; return is; } inline ostream& operator<<(ostream& os, const mint& x) { os << x.val(); return os; } } using vm = vector; using vvm = vector; using vvvm = vector; using vvvvm = vector; #endif #ifdef _MSC_VER // 手元環境(Visual Studio) #include "local.hpp" #else // 提出用(gcc) inline int popcount(int n) { return __builtin_popcount(n); } inline int popcount(ll n) { return __builtin_popcountll(n); } inline int lsb(int n) { return n != 0 ? __builtin_ctz(n) : -1; } inline int lsb(ll n) { return n != 0 ? __builtin_ctzll(n) : -1; } inline int msb(int n) { return n != 0 ? (31 - __builtin_clz(n)) : -1; } inline int msb(ll n) { return n != 0 ? (63 - __builtin_clzll(n)) : -1; } #define dump(...) #define dumpel(v) #define dump_list(v) #define dump_mat(v) #define input_from_file(f) #define output_to_file(f) #define Assert(b) { if (!(b)) while (1) cout << "OLE"; } #endif void WA() { int n, k; ll seed, a, b, m; cin >> n >> k >> seed >> a >> b >> m; vl f(2 * n); f[0] = seed; repi(i, 1, 2 * n - 1) f[i] = (a * f[i - 1] + b) % m; vi w(n); rep(i, n) w[i] = (int)f[i] % 3 + 1; vl v(n); rep(i, n) v[i] = w[i] * f[n + i]; dump(w); dump(v); vector> qs(4); rep(i, n) qs[w[i]].push(v[i]); repi(i, 1, 3) qs[i].push(-INFL); priority_queue_rev q; while (k > 0) { auto v1 = qs[1].top(); auto v2 = qs[2].top(); auto v3 = qs[3].top(); ll v_max = max(v2, v3); if (v_max == -INFL) break; if (v3 == v_max) { q.push(v3); qs[3].pop(); } else if (v2 == v_max) { if (v1 != -INFL) { q.push(v2 + v1); qs[1].pop(); qs[2].pop(); } else { q.push(v2); qs[2].pop(); } } k--; } while (!qs[1].empty()) { ll v_sum = 0; if (!qs[1].empty()) { v_sum += qs[1].top(); qs[1].pop(); } if (!qs[1].empty()) { v_sum += qs[1].top(); qs[1].pop(); } if (!qs[1].empty()) { v_sum += qs[1].top(); qs[1].pop(); } if (k > 0) { q.push(v_sum); k--; } else { auto v_min = q.top(); if (v_min < v_sum) { q.pop(); q.push(v_sum); } else { break; } } } ll res = 0; while (!q.empty()) { res += q.top(); q.pop(); } cout << res << endl; } //【三分探索(上に凸)】O(log(r - l)) /* * 階差の符号変化が + → 0 → - である関数 f(x) の開区間 (l..r) における最大値を与える x を返す. */ template ll ternary_search_uc(ll l, ll r, const FUNC& f) { // verify : https://atcoder.jp/contests/abc240/tasks/abc240_f Assert(r - l >= 2); while (r - l > 2) { ll s = l + r; ll m1 = s / 2 - (s % 2 < 0); ll m2 = m1 + 1; if (f(m1) < f(m2)) l = m1; else r = m2; } return l + 1; /* f の定義の雛形 auto f = [&](ll x) { return x; }; */ } //【累積和】 /* * Cumulative_sum(vT a) : O(n) * 配列 a[0..n) で初期化する. * * T sum(int l, int r) : O(1) * Σa[l..r) を返す.(空なら 0 を返す.範囲外の値は 0 とみなす) */ template class Cumulative_sum { int n; // acc[i] : Σa[0..i) vector acc; public: // 配列 a[0..n) で初期化する. Cumulative_sum(const vector& a) : n(sz(a)), acc(n + 1) { // verify : https://atcoder.jp/contests/tessoku-book/tasks/math_and_algorithm_ai rep(i, n) acc[i + 1] = acc[i] + a[i]; } Cumulative_sum() : n(0) {} // Σa[l..r) を返す.(空なら 0 を返す.範囲外の値は 0 とみなす) inline T sum(int l, int r) { // verify : https://atcoder.jp/contests/tessoku-book/tasks/math_and_algorithm_ai chmax(l, 0); chmin(r, n); if (l >= r) return 0; return acc[r] - acc[l]; } }; int main() { // input_from_file("input.txt"); // output_to_file("output.txt"); int n, k; ll seed, a, b, m; cin >> n >> k >> seed >> a >> b >> m; vl f(2 * n); f[0] = seed; repi(i, 1, 2 * n - 1) f[i] = (a * f[i - 1] + b) % m; vi w(n); rep(i, n) w[i] = (int)f[i] % 3 + 1; vl v(n); rep(i, n) v[i] = w[i] * f[n + i]; dump(w); dump(v); vvl w_to_v(4); rep(i, n) w_to_v[w[i]].push_back(v[i]); vector> acc(4); repi(k, 1, 3) { sort(all(w_to_v[k]), greater()); acc[k] = Cumulative_sum(w_to_v[k]); } auto f3 = [&](ll c3) { ll val3 = acc[3].sum(0, c3); auto f2 = [&](ll c2) { ll val2 = acc[2].sum(0, c2); val2 += acc[1].sum(0, (k - c3 - c2) * 3 + c2); return val2; }; auto c2 = ternary_search_uc(-1, k - c3 + 1, f2); val3 += f2(c2); return val3; }; auto c3 = ternary_search_uc(-1, k + 1, f3); cout << f3(c3) << endl; }