//#pragma GCC target("avx,avx2") //#pragma GCC optimize("O3") //#pragma GCC optimize("unroll-loops") #include #ifdef LOCAL #include #define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else #define debug(...) (static_cast(0)) #endif using namespace std; using ll = long long; using ld = long double; using pll = pair; using pii = pair; using vi = vector; using vvi = vector; using vvvi = vector; using vl = vector; using vvl = vector; using vvvl = vector; using vpii = vector; using vpll = vector; using vs = vector; template using pq = priority_queue, greater>; #define overload4(_1, _2, _3, _4, name, ...) name #define overload3(a,b,c,name,...) name #define rep1(n) for (ll UNUSED_NUMBER = 0; UNUSED_NUMBER < (n); ++UNUSED_NUMBER) #define rep2(i, n) for (ll i = 0; i < (n); ++i) #define rep3(i, a, b) for (ll i = (a); i < (b); ++i) #define rep4(i, a, b, c) for (ll i = (a); i < (b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep1(n) for(ll i = (n) - 1;i >= 0;i--) #define rrep2(i,n) for(ll i = (n) - 1;i >= 0;i--) #define rrep3(i,a,b) for(ll i = (b) - 1;i >= (a);i--) #define rrep4(i,a,b,c) for(ll i = (a) + ((b)-(a)-1) / (c) * (c);i >= (a);i -= c) #define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__) #define all1(i) begin(i) , end(i) #define all2(i,a) begin(i) , begin(i) + a #define all3(i,a,b) begin(i) + a , begin(i) + b #define all(...) overload3(__VA_ARGS__, all3, all2, all1)(__VA_ARGS__) #define sum(...) accumulate(all(__VA_ARGS__),0LL) template bool chmin(T &a, const T &b){ if(a > b){ a = b; return 1; } else return 0; } template bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } else return 0; } template auto min(const T& a){return *min_element(all(a));} template auto max(const T& a){return *max_element(all(a));} template void in(Ts&... t); #define INT(...) int __VA_ARGS__; in(__VA_ARGS__) #define LL(...) ll __VA_ARGS__; in(__VA_ARGS__) #define STR(...) string __VA_ARGS__; in(__VA_ARGS__) #define CHR(...) char __VA_ARGS__; in(__VA_ARGS__) #define DBL(...) double __VA_ARGS__; in(__VA_ARGS__) #define LD(...) ld __VA_ARGS__; in(__VA_ARGS__) #define VEC(type, name, size) vector name(size); in(name) #define VV(type, name, h, w) vector> name(h, vector(w)); in(name) ll intpow(ll a, ll b){ ll ans = 1; while(b){if(b & 1) ans *= a; a *= a; b /= 2;} return ans;} ll modpow(ll a, ll b, ll p){ ll ans = 1; a %= p;if(a < 0) a += p;while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; } void Yes() {cout << "Yes\n";return;} void No() {cout << "No\n";return;} void YES() {cout << "YES\n";return;} void NO() {cout << "NO\n";return;} void First() {cout << "First\n";return;} void Second() {cout << "Second\n";return;} namespace IO{ #define VOID(a) decltype(void(a)) struct setting{ setting(){cin.tie(nullptr); ios::sync_with_stdio(false);fixed(cout); cout.precision(12);}} setting; template struct P : P{}; template<> struct P<0>{}; template void i(T& t){ i(t, P<3>{}); } void i(vector::reference t, P<3>){ int a; i(a); t = a; } template auto i(T& t, P<2>) -> VOID(cin >> t){ cin >> t; } template auto i(T& t, P<1>) -> VOID(begin(t)){ for(auto&& x : t) i(x); } template void ituple(T& t, index_sequence){in(get(t)...);} template auto i(T& t, P<0>) -> VOID(tuple_size{}){ituple(t, make_index_sequence::value>{});} #undef VOID } #define unpack(a) (void)initializer_list{(a, 0)...} template void in(Ts&... t){ unpack(IO :: i(t)); } #undef unpack static const double PI = 3.1415926535897932; template struct REC { F f; REC(F &&f_) : f(forward(f_)) {} template auto operator()(Args &&...args) const { return f(*this, forward(args)...); }}; constexpr int mod = 998244353; //constexpr int mod = 1000000007; void solve() { INT(n,k,seed,a,b,m); vl f(2*n),v(n),w(n); f[0] = seed; rep(i,1,2*n) { f[i] = (a * f[i-1] + b) % m; } rep(i,n) { w[i] = f[i] % 3 + 1; v[i] = w[i] * f[i+n]; } vvl V(4); rep(i,n) V[w[i]].emplace_back(v[i]); int si = V[1].size(); V[1].emplace_back(0); V[1].emplace_back(0); V[1].emplace_back(0); rep(i,1,4) sort(all(V[i]),greater()); vector> cs(3); rep(i,3) { rep(j,i,si,3) { cs[i].emplace_back(V[1][j] + V[1][j+1] + V[1][j+2]); } } ll ans = 0; ll su = 0; vl c3(V[3].size() + 1); rep(i,V[3].size()) c3[i+1] = c3[i] + V[3][i]; vl MI(3); vector> c1(3); rep(i,3) { c1[i].emplace_back(0); rep(j,cs[i].size()) { c1[i].emplace_back(c1[i].back() + cs[i][j]); } } debug(V); rep(i,min((int)V[2].size() + 1,k+1)) { int rem = k - i; int ok = 0,ng = min(rem + 1,(int)V[3].size() + 1); while(ng - ok > 1) { int mid = (ng + ok) / 2; if(rem - mid >= cs[i % 3].size()) ok = mid; else if(V[3][mid-1] > cs[i % 3][rem-mid]) ok = mid; else ng = mid; } ll tmp = c3[ok] + c1[i % 3][min(rem - ok,(int)cs[i % 3].size())] - MI[i % 3]; debug(i,rem - ok,tmp,ok,su,su + tmp); chmax(ans,su + tmp); su += V[2][i]; if(i < V[1].size()) su += V[1][i]; if(!cs[i % 3].empty()) { MI[i % 3] += cs[i % 3].front(); cs[i % 3].pop_front(); c1[i % 3].pop_front(); } } cout << ans << '\n'; } int main() { //INT(TT); int TT = 1; while(TT--) solve(); }