//#define NDEBUG #include #include #include #include #include #include namespace n91 { using i8 = std::int_fast8_t; using i32 = std::int_fast32_t; using i64 = std::int_fast64_t; using u8 = std::uint_fast8_t; using u32 = std::uint_fast32_t; using u64 = std::uint_fast64_t; using isize = std::ptrdiff_t; using usize = std::size_t; struct rep { struct itr { usize i; constexpr itr(const usize i) noexcept : i(i) {} void operator++() noexcept { ++i; } constexpr usize operator*() const noexcept { return i; } constexpr bool operator!=(const itr x) const noexcept { return i != x.i; } }; const itr f, l; constexpr rep(const usize f, const usize l) noexcept : f(std::min(f, l)), l(l) {} constexpr auto begin() const noexcept { return f; } constexpr auto end() const noexcept { return l; } }; struct revrep { struct itr { usize i; constexpr itr(const usize i) noexcept : i(i) {} void operator++() noexcept { --i; } constexpr usize operator*() const noexcept { return i; } constexpr bool operator!=(const itr x) const noexcept { return i != x.i; } }; const itr f, l; constexpr revrep(const usize f, const usize l) noexcept : f(l - 1), l(std::min(f, l) - 1) {} constexpr auto begin() const noexcept { return f; } constexpr auto end() const noexcept { return l; } }; template auto md_vec(const usize n, const T &value) { return std::vector(n, value); } template auto md_vec(const usize n, Args... args) { return std::vector(n, md_vec(args...)); } template constexpr T difference(const T &a, const T &b) noexcept { return a < b ? b - a : a - b; } template void chmin(T &a, const T &b) noexcept { if (b < a) a = b; } template void chmax(T &a, const T &b) noexcept { if (a < b) a = b; } template class rec_lambda { F f; public: rec_lambda(F &&f) : f(std::move(f)) {} template auto operator()(Args &&... args) const { return f(*this, std::forward(args)...); } }; template auto make_rec(F &&f) { return rec_lambda(std::move(f)); } template T scan() { T ret; std::cin >> ret; return ret; } } // namespace n91 #include namespace n91 { void main_() { /* std::ios::sync_with_stdio(false); std::cin.tie(nullptr); //*/ const usize n = scan(); std::vector a(n + 1); for (const usize i : rep(0, n)) { std::cin >> a[i]; } a[n] = 0; const usize A = *std::max_element(a.begin(), a.end()); for (const usize i : revrep(0, n)) { a[i] += a[i + 1]; } const auto next = [&](std::deque &rle, u64 &sum) -> bool { if (rle.size() == 2) { return false; } usize t0 = rle[0]; usize t1 = rle[1]; sum -= a[t0] - a[t0 + t1]; sum += a[t0 + t1] - a[t0 + t1 + 1]; if (rle.size() >= 4 && rle[2] == 1) { rle[3] += 1; rle.pop_front(); rle.pop_front(); rle.pop_front(); rle.push_front(t0 + 1); if (t1 != 1) { sum += a[0] - a[t1 - 1]; rle.push_front(t1 - 1); rle.push_front(0); } } else { rle.pop_front(); rle.pop_front(); rle[0] -= 1; if (rle[0] == 0) { rle.pop_front(); } rle.push_front(1); rle.push_front(t0 + 1); if (t1 != 1) { sum += a[0] - a[t1 - 1]; rle.push_front(t1 - 1); rle.push_front(0); } } return true; }; std::vector oc; u64 ans = -static_cast(1); for (const usize k : rep(1, n + 1)) { std::deque deq; if (k != n) { deq.push_front(n - k); } deq.push_front(k); deq.push_front(0); u64 sum = a[0] - a[k]; oc.resize(A * k + 1); do { if (oc[sum] != 0) { ans = sum; break; } oc[sum] = 1; } while (next(deq, sum)); if (ans != -static_cast(1)) { break; } } if (ans == -static_cast(1)) { std::cout << "No\n"; return; } std::cout << "Yes\n"; std::vector b(n, 0); int state = 0; for (const usize k : rep(1, n + 1)) { std::deque deq; if (k != n) { deq.push_front(n - k); } deq.push_front(k); deq.push_front(0); u64 sum = a[0] - a[k]; do { if (sum == ans) { if (state == 0) { state = 1; usize i = 0; bool f = false; for (const auto e : deq) { if (f) { for (const usize j : rep(i, i + e)) { b[j] += 1; } } i += e; f = !f; } } else if (state == 1) { state = 2; usize i = 0; bool f = false; for (const auto e : deq) { if (f) { for (const usize j : rep(i, i + e)) { b[j] -= 1; } } i += e; f = !f; } } } } while (next(deq, sum)); if (state == 2) { break; } } for (const usize i : rep(0, n)) { if (i) std::cout << " "; std::cout << i64(b[i]) * i64(a[i] - a[i + 1]); } std::cout << "\n"; } } // namespace n91 int main() { n91::main_(); return 0; }