#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using lint = long long; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; } template bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; } const std::vector> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); } template T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); } template std::pair operator+(const std::pair &l, const std::pair &r) { return std::make_pair(l.first + r.first, l.second + r.second); } template std::pair operator-(const std::pair &l, const std::pair &r) { return std::make_pair(l.first - r.first, l.second - r.second); } template std::vector sort_unique(std::vector vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; } template int arglb(const std::vector &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); } template int argub(const std::vector &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); } template IStream &operator>>(IStream &is, std::vector &vec) { for (auto &v : vec) is >> v; return is; } template OStream &operator<<(OStream &os, const std::vector &vec); template OStream &operator<<(OStream &os, const std::array &arr); template OStream &operator<<(OStream &os, const std::unordered_set &vec); template OStream &operator<<(OStream &os, const pair &pa); template OStream &operator<<(OStream &os, const std::deque &vec); template OStream &operator<<(OStream &os, const std::set &vec); template OStream &operator<<(OStream &os, const std::multiset &vec); template OStream &operator<<(OStream &os, const std::unordered_multiset &vec); template OStream &operator<<(OStream &os, const std::pair &pa); template OStream &operator<<(OStream &os, const std::map &mp); template OStream &operator<<(OStream &os, const std::unordered_map &mp); template OStream &operator<<(OStream &os, const std::tuple &tpl); template OStream &operator<<(OStream &os, const std::vector &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::array &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; } template std::istream &operator>>(std::istream &is, std::tuple &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; } template OStream &operator<<(OStream &os, const std::tuple &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; } template OStream &operator<<(OStream &os, const std::unordered_set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::deque &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::pair &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; } template OStream &operator<<(OStream &os, const std::map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } #ifdef HITONANODE_LOCAL const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m"; #define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl #define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr) #else #define dbg(x) ((void)0) #define dbgif(cond, x) ((void)0) #endif #include using S = pint; S op(S l, S r) { return min(l, r); } S e() { return {(1 << 30) - 1, -1}; } struct rand_int_ { using lint = long long; std::mt19937 mt; rand_int_() : mt(std::chrono::steady_clock::now().time_since_epoch().count()) {} lint operator()(lint x) { return this->operator()(0, x); } // [0, x) lint operator()(lint l, lint r) { std::uniform_int_distribution d(l, r - 1); return d(mt); } } rnd; vector simulate(const vector &V, vector state, lint T) { const int N = V.size(); int from = 0, to = 1; for (lint t = 0; t < T; ++t) { int cap = min(state.at(from), V.at(to) - state.at(to)); if (t <= 100) dbg(make_tuple(state, t, cap)); state.at(from) -= cap; state.at(to) += cap; ++from, ++to; if (from == N) from = 0; if (to == N) to = 0; } return state; } vector solve(const vector &V, lint T) { const int N = V.size(); const int h0 = *min_element(ALL(V)); const int argmin = std::find(ALL(V), h0) - V.begin(); vector hi; REP(i, N) hi.emplace_back(V.at(i), i); atcoder::segtree seg(hi); dbg(h0); dbg(hi); vector ret(N); ret.at(0) += h0; const lint nloop = T / N; auto subsolve = [&](auto &&self, int l, int r, int reduced, int initval) -> void { if (l >= r) return; dbg(make_tuple(l, r, reduced, initval, nloop)); auto [hlo, ilo] = seg.prod(l, r); lint area = hlo - reduced; if (__int128(area) * nloop >= initval) { lint rem = initval; dbg(make_tuple(rem, V, reduced, l, r)); IFOR(i, l, r) { lint supply = min(rem, V.at(i) - reduced); ret.at(i) += supply; rem -= supply; if (!rem) break; } dbg(rem); } else { lint rem = initval; lint used = 0; IFOR(i, l, r) { const lint a = seg.prod(l, i).first - reduced; __int128 ub = a * nloop; if (ub > initval) ub = initval; lint can_use = std::min<__int128>(ub - used, V.at(i) - reduced); used += can_use; rem -= can_use; ret.at(i) += can_use; } ret.at(l) += rem; } }; subsolve(subsolve, 0, argmin, h0, V.at(0) - h0); return simulate(V, ret, T % N); } int main() { map memo; int N; lint T; cin >> N; vector V(N); cin >> V >> T; dbg(V); auto state = solve(V, T); // assert(T <= 6e8); // vector state(N); // vector hashw(N); // for (auto &v : hashw) v = rnd(1LL << 61); // unsigned long long current = hashw.at(0) * (unsigned)state.at(0); // memo[current] = 0; // state.at(0) = V.at(0); // int from = 0, to = 1; // for (lint t = 0; t < T; ++t) { // int cap = min(state.at(from), V.at(to) - state.at(to)); // if (t <= 100) dbg(make_tuple(state, t, cap)); // state.at(from) -= cap; // state.at(to) += cap; // current += (hashw.at(to) - hashw.at(from)) * (unsigned)cap; // ++from, ++to; // if (from == N) from = 0; // if (to == N) to = 0; // if (T - t > 100 and memo.count(current)) { // const lint loop = t + 1 - memo[current]; // dbg(make_tuple(T, t, loop)); // lint rem = (T - t - 10) / loop; // t += rem * loop; // } else { // memo[current] = t + 1; // } // } for (auto x : state) cout << x << ' '; cout << '\n'; }