/** * date : 2021-02-12 23:19:41 */ #define NDEBUG using namespace std; // intrinstic #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 #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 // utility namespace Nyaan { using ll = long long; using i64 = long long; using u64 = unsigned long long; using i128 = __int128_t; using u128 = __uint128_t; template using V = vector; template using VV = vector>; using vi = vector; using vl = vector; using vd = V; using vs = V; using vvi = vector>; using vvl = vector>; template struct P : pair { template P(Args... args) : pair(args...) {} using pair::first; using pair::second; T &x() { return first; } const T &x() const { return first; } U &y() { return second; } const U &y() const { return second; } P &operator+=(const P &r) { first += r.first; second += r.second; return *this; } P &operator-=(const P &r) { first -= r.first; second -= r.second; return *this; } P &operator*=(const P &r) { first *= r.first; second *= r.second; return *this; } P operator+(const P &r) const { return P(*this) += r; } P operator-(const P &r) const { return P(*this) -= r; } P operator*(const P &r) const { return P(*this) *= r; } }; using pl = P; using pi = P; using vp = V; constexpr int inf = 1001001001; constexpr long long infLL = 4004004004004004004LL; template int sz(const T &t) { return t.size(); } template void mem(T (&a)[N], int c) { memset(a, c, sizeof(T) * N); } template inline bool amin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool amax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template int lb(const vector &v, const T &a) { return lower_bound(begin(v), end(v), a) - begin(v); } template int ub(const vector &v, const T &a) { return upper_bound(begin(v), end(v), a) - begin(v); } constexpr long long TEN(int n) { long long ret = 1, x = 10; for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1); return ret; } template pair mkp(const T &t, const U &u) { return make_pair(t, u); } template vector mkrui(const vector &v, bool rev = false) { vector ret(v.size() + 1); if (rev) { for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1]; } else { for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i]; } return ret; }; template vector mkuni(const vector &v) { vector ret(v); sort(ret.begin(), ret.end()); ret.erase(unique(ret.begin(), ret.end()), ret.end()); return ret; } template vector mkord(int N, F f) { vector ord(N); iota(begin(ord), end(ord), 0); sort(begin(ord), end(ord), f); return ord; } template vector reord(const vector &v, const vector &ord) { int N = v.size(); vector ret(N); for (int i = 0; i < N; i++) ret[i] = v[ord[i]]; return ret; }; template vector mkiota(int N) { vector ret(N); iota(begin(ret), end(ret), 0); return ret; } template vector mkinv(vector &v, int max_val = -1) { if (max_val < (int)v.size()) max_val = v.size() - 1; vector inv(max_val + 1, -1); for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i; return inv; } } // namespace Nyaan // bit operation namespace Nyaan { __attribute__((target("popcnt"))) inline int popcnt(const u64 &a) { return _mm_popcnt_u64(a); } __attribute__((target("bmi"))) inline int lsb(const u64 &a) { return _tzcnt_u64(a); } __attribute__((target("bmi"))) inline int ctz(const u64 &a) { return _tzcnt_u64(a); } __attribute__((target("lzcnt"))) inline int msb(const u64 &a) { return 63 - _lzcnt_u64(a); } __attribute__((target("lzcnt"))) inline int clz64(const u64 &a) { return _lzcnt_u64(a); } template inline int gbit(const T &a, int i) { return (a >> i) & 1; } template inline void sbit(T &a, int i, bool b) { a ^= (gbit(a, i) == b ? 0 : (T(b) << i)); } constexpr long long PW(int n) { return 1LL << n; } constexpr long long MSK(int n) { return (1LL << n) - 1; } } // namespace Nyaan // inout namespace Nyaan { template ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &... u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &... u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template void outr(const T &t, const U &... u) { cout << t; outr(u...); } struct IoSetupNya { IoSetupNya() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetupnya; } // namespace Nyaan // debug namespace DebugImpl { template struct is_specialize : false_type {}; template struct is_specialize< U, typename conditional::type> : true_type {}; template struct is_specialize< U, typename conditional::type> : true_type {}; template struct is_specialize::value, void>> : true_type { }; void dump(const char& t) { cerr << t; } void dump(const string& t) { cerr << t; } template ::value, nullptr_t> = nullptr> void dump(const U& t) { cerr << t; } template void dump(const T& t, enable_if_t::value>* = nullptr) { string res; if (t == Nyaan::inf) res = "inf"; if (is_signed::value) if (t == -Nyaan::inf) res = "-inf"; if (sizeof(T) == 8) { if (t == Nyaan::infLL) res = "inf"; if (is_signed::value) if (t == -Nyaan::infLL) res = "-inf"; } if (res.empty()) res = to_string(t); cerr << res; } template void dump(const pair&); template void dump(const pair&); template void dump(const T& t, enable_if_t::value>* = nullptr) { cerr << "[ "; for (auto it = t.begin(); it != t.end();) { dump(*it); cerr << (++it == t.end() ? "" : ", "); } cerr << " ]"; } template void dump(const pair& t) { cerr << "( "; dump(t.first); cerr << ", "; dump(t.second); cerr << " )"; } template void dump(const pair& t) { cerr << "[ "; for (int i = 0; i < t.second; i++) { dump(t.first[i]); cerr << (i == t.second - 1 ? "" : ", "); } cerr << " ]"; } void trace() { cerr << endl; } template void trace(Head&& head, Tail&&... tail) { cerr << " "; dump(head); if (sizeof...(tail) != 0) cerr << ","; trace(forward(tail)...); } } // namespace DebugImpl #ifdef NyaanDebug #define trc(...) \ do { \ cerr << "## " << #__VA_ARGS__ << " = "; \ DebugImpl::trace(__VA_ARGS__); \ } while (0) #else #define trc(...) #endif // macro #define each(x, v) for (auto&& x : v) #define each2(x, y, v) for (auto&& [x, y] : v) #define all(v) (v).begin(), (v).end() #define rep(i, N) for (long long i = 0; i < (long long)(N); i++) #define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--) #define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++) #define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--) #define reg(i, a, b) for (long long i = (a); i < (b); i++) #define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--) #define repc(i, a, cond) for (long long i = (a); (cond); i++) #define enm(i, val, vec) \ for (long long i = 0; i < (long long)(vec).size(); i++) \ if (auto& val = vec[i]; false) \ ; \ else #define ini(...) \ int __VA_ARGS__; \ in(__VA_ARGS__) #define inl(...) \ long long __VA_ARGS__; \ in(__VA_ARGS__) #define ins(...) \ string __VA_ARGS__; \ in(__VA_ARGS__) #define inc(...) \ char __VA_ARGS__; \ in(__VA_ARGS__) #define in2(s, t) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i]); \ } #define in3(s, t, u) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i]); \ } #define in4(s, t, u, v) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i], v[i]); \ } #define die(...) \ do { \ Nyaan::out(__VA_ARGS__); \ return; \ } while (0) namespace Nyaan { void solve(); } int main() { Nyaan::solve(); } // using namespace Nyaan; template struct LazySegmentTree { int n, log; vector val; vector laz; explicit LazySegmentTree() {} explicit LazySegmentTree(const vector& vc) { init(vc); } void init(const vector& vc) { n = 1, log = 0; while (n < (int)vc.size()) n <<= 1, log++; val.resize(2 * n, ti()); laz.resize(n, ei()); for (int i = 0; i < (int)vc.size(); ++i) val[i + n] = vc[i]; for (int i = n - 1; i; --i) _update(i); } void update(int l, int r, const E& x) { if (l == r) return; l += n, r += n; for (int i = log; i >= 1; i--) { if (((l >> i) << i) != l) _push(l >> i); if (((r >> i) << i) != r) _push((r - 1) >> i); } { int l2 = l, r2 = r; while (l < r) { if (l & 1) _apply(l++, x); if (r & 1) _apply(--r, x); l >>= 1; r >>= 1; } l = l2; r = r2; } for (int i = 1; i <= log; i++) { if (((l >> i) << i) != l) _update(l >> i); if (((r >> i) << i) != r) _update((r - 1) >> i); } } T query(int l, int r) { if (l == r) return ti(); l += n, r += n; T L = ti(), R = ti(); for (int i = log; i >= 1; i--) { if (((l >> i) << i) != l) _push(l >> i); if (((r >> i) << i) != r) _push((r - 1) >> i); } while (l < r) { if (l & 1) L = f(L, val[l++]); if (r & 1) R = f(val[--r], R); l >>= 1; r >>= 1; } return f(L, R); } void set_val(int k, const T& x) { k += n; for (int i = log; i >= 1; i--) { if (((k >> i) << i) != k) _push(k >> i); } val[k] = x; for (int i = 1; i <= log; i++) { if (((k >> i) << i) != k) _update(k >> i); } } void update_val(int k, const E& x) { k += n; for (int i = log; i >= 1; i--) { if (((k >> i) << i) != k) _push(k >> i); } val[k] = g(val[k], x); for (int i = 1; i <= log; i++) { if (((k >> i) << i) != k) _update(k >> i); } } T get_val(int k) { k += n; for (int i = log; i >= 1; i--) { if (((k >> i) << i) != k) _push(k >> i); } return val[k]; } private: void _push(int i) { if (laz[i] != ei()) { val[2 * i + 0] = g(val[2 * i + 0], laz[i]); val[2 * i + 1] = g(val[2 * i + 1], laz[i]); if (2 * i < n) { compose(laz[2 * i + 0], laz[i]); compose(laz[2 * i + 1], laz[i]); } laz[i] = ei(); } } inline void _update(int i) { val[i] = f(val[2 * i + 0], val[2 * i + 1]); } inline void _apply(int i, const E& x) { if (x != ei()) { val[i] = g(val[i], x); if (i < n) compose(laz[i], x); } } inline void compose(E& a, const E& b) { a = a == ei() ? b : h(a, b); } }; namespace SegmentTreeUtil { template struct Pair { T first, second; Pair() = default; Pair(const T& f, const T& s) : first(f), second(s) {} operator T() const { return first; } friend ostream& operator<<(ostream& os, const Pair& p) { os << T(p.first); return os; } }; template T Max(T a, T b) { return max(a, b); } template T Min(T a, T b) { return min(a, b); } template T Update(T, T b) { return b; } template T Add(T a, T b) { return a + b; } template Pair Psum(Pair a, Pair b) { return Pair(a.first + b.first, a.second + b.second); } template Pair Padd(Pair a, T b) { return Pair(a.first + a.second * b, a.second); } template Pair PUpdate(Pair a, T b) { return Pair(a.second * b, a.second); } template Pair Pid() { return Pair(0, 0); } template T Zero() { return T(0); } template T Const() { return val; } template struct AddMax_LazySegmentTree : LazySegmentTree, Add, Add, Const, Zero> { using base = LazySegmentTree, Add, Add, Const, Zero>; AddMax_LazySegmentTree(const vector& v) : base(v) {} }; template struct AddMin_LazySegmentTree : LazySegmentTree, Add, Add, Const, Zero> { using base = LazySegmentTree, Add, Add, Const, Zero>; AddMin_LazySegmentTree(const vector& v) : base(v) {} }; template struct AddSum_LazySegmentTree : LazySegmentTree, T, Psum, Padd, Add, Pid, Zero> { using base = LazySegmentTree, T, Psum, Padd, Add, Pid, Zero>; AddSum_LazySegmentTree(const vector& v) { vector> w(v.size()); for (int i = 0; i < (int)v.size(); i++) w[i] = Pair(v[i], 1); base::init(w); } }; template struct UpdateMax_LazySegmentTree : LazySegmentTree, Update, Update, Const, Const> { using base = LazySegmentTree, Update, Update, Const, Const>; UpdateMax_LazySegmentTree(const vector& v) : base(v) {} }; template struct UpdateMin_LazySegmentTree : LazySegmentTree, Update, Update, Const, Const> { using base = LazySegmentTree, Update, Update, Const, Const>; UpdateMin_LazySegmentTree(const vector& v) : base(v) {} }; template struct UpdateSum_LazySegmentTree : LazySegmentTree, T, Psum, PUpdate, Update, Pid, Const> { using base = LazySegmentTree, T, Psum, PUpdate, Update, Pid, Const>; UpdateSum_LazySegmentTree(const vector& v) { vector> w(v.size()); for (int i = 0; i < (int)v.size(); i++) w[i] = Pair(v[i], 1); base::init(w); } }; } // namespace SegmentTreeUtil using SegmentTreeUtil::AddMax_LazySegmentTree; using SegmentTreeUtil::AddMin_LazySegmentTree; using SegmentTreeUtil::AddSum_LazySegmentTree; using SegmentTreeUtil::UpdateMax_LazySegmentTree; using SegmentTreeUtil::UpdateMin_LazySegmentTree; using SegmentTreeUtil::UpdateSum_LazySegmentTree; /** * @brief 使用頻度の高い遅延セグメント木 * @docs docs/segment-tree/lazy-segment-tree-utility.md */ void Nyaan::solve() { inl(N); vi a(N); in(a); ini(Q); if (N <= 2) { ll sm = accumulate(all(a), 0LL); rep(_, Q) { inl(i, x); i--; sm -= a[i]; sm += x; a[i] = x; out(sm - (N - 2) * N); } return; } vl init(N); rep(i, N) init[i] = -i * N; AddMin_LazySegmentTree seg{init}; ll sm = 0; rep(i, N) { // 絶対的な数:0との差に思いを馳せます sm += a[i] % (N - 1) * (N - 1); ll rem = a[i] % (N - 1); if (rem) seg.update(N - rem, N, N); } rep(_, Q) { inl(i, x); --i; sm -= a[i] % (N - 1) * (N - 1); { ll rem = a[i] % (N - 1); if (rem) seg.update(N - rem, N, -N); } a[i] = x; sm += a[i] % (N - 1) * (N - 1); { ll rem = a[i] % (N - 1); if (rem) seg.update(N - rem, N, N); } out(max(0ll,seg.query(0,N))); } }