import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } // T: monoid // op: T * T -> T // query(a, b): returns t_a ... t_{b-1} class SegmentTree(T, alias op) { import std.functional : binaryFun; alias opFun = binaryFun!op; const(T) idT; int n; T[] ts; this(int n_, const(T) idT) { this.idT = idT; for (n = 1; n < n_; n <<= 1) {} ts = new T[n << 1]; ts[] = idT; } this(inout(T)[] ts_, const(T) idT) { this.idT = idT; const n_ = cast(int)(ts_.length); for (n = 1; n < n_; n <<= 1) {} ts = new T[n << 1]; ts[0 .. n] = idT; ts[n .. n + n_] = ts_[]; ts[n + n_ .. n << 1] = idT; build(); } ref T at(int a) { return ts[n + a]; } void build() { foreach_reverse (a; 1 .. n) ts[a] = opFun(ts[a << 1], ts[a << 1 | 1]); } void set(int a, const(T) val) { ts[a += n] = val; for (; a >>= 1; ) ts[a] = opFun(ts[a << 1], ts[a << 1 | 1]); } void mulL(int a, const(T) val) { set(a, opFun(val, ts[a + n])); } void mulR(int a, const(T) val) { set(a, opFun(ts[a + n], val)); } T query(int a, int b) const { T prodL = idT, prodR = idT; for (a += n, b += n; a < b; a >>= 1, b >>= 1) { if (a & 1) prodL = opFun(prodL, ts[a++]); if (b & 1) prodR = opFun(ts[--b], prodR); } return opFun(prodL, prodR); } // min b s.t. pred(prod of [a, b)) (or n + 1 if no such b) // 0 <= a <= n // assume pred(prod of [a, b)) is non-decreasing in b int binarySearchR(int a, bool delegate(T) pred) const { if (pred(idT)) return a; if (a == n) return n + 1; T prod = idT; for (a += n; ; a >>= 1) { if (a & 1) { if (pred(opFun(prod, ts[a]))) { for (; a < n; ) { a <<= 1; if (!pred(opFun(prod, ts[a]))) { prod = opFun(prod, ts[a++]); } } return a - n + 1; } prod = opFun(prod, ts[a++]); if (!(a & a - 1)) return n + 1; } } } // max a s.t. pred(prod of [a, b)) (or -1 if no such a) // 0 <= b <= n // assume pred(prod of [a, b)) is non-increasing in a int binarySearchL(int b, bool delegate(T) pred) const { if (pred(idT)) return b; if (b == 0) return -1; T prod = idT; for (b += n; ; b >>= 1) { if ((b & 1) || b == 2) { if (pred(opFun(prod, ts[b - 1]))) { for (; b <= n; ) { b <<= 1; if (!pred(opFun(prod, ts[b - 1]))) { prod = opFun(prod, ts[--b]); } } return b - n - 1; } prod = opFun(prod, ts[--b]); if (!(b & b - 1)) return -1; } } } } enum INF = 10L^^18; struct T { long sum, mn, pos; } T opTT(T t0, T t1) { if (t0.mn <= t0.sum + t1.mn) { return T(t0.sum + t1.sum, t0.mn, t0.pos); } else { return T(t0.sum + t1.sum, t0.sum + t1.mn, t1.pos); } } enum ID_T = T(0, INF, -1); void main() { try { for (; ; ) { const N = readInt(); auto A = new long[N]; foreach (i; 0 .. N) { A[i] = readLong(); } const Q = readInt(); auto I = new int[Q]; auto X = new long[Q]; foreach (q; 0 .. Q) { I[q] = readInt() - 1; X[q] = readLong(); } if (N == 1) { foreach (q; 0 .. Q) { /* X[q] + (-1) k <= -1 */ writeln(max(X[q] + 1, 0)); } } else { auto setB = new RedBlackTree!(long, "a < b", true); long sumB, sumQuot; auto seg = new SegmentTree!(T, opTT)(2 * (N - 1), ID_T); foreach (r; 0 .. N - 1) { seg.at(r) = T(1, 1, r); seg.at((N - 1) + r) = T(1, 1, r); } seg.build; void add(long a) { const b = a - (N - 2); setB.insert(b); sumB += b; int r = cast(int)(b % (N - 1)); if (r < 0) r += (N - 1); sumQuot += (b - r) / (N - 1); T t = seg.at(r); t.sum -= 1; t.mn -= 1; seg.set(r, t); seg.set((N - 1) + r, t); } void rem(long a) { const b = a - (N - 2); setB.removeKey(b); sumB -= b; int r = cast(int)(b % (N - 1)); if (r < 0) r += (N - 1); sumQuot -= (b - r) / (N - 1); T t = seg.at(r); t.sum += 1; t.mn += 1; seg.set(r, t); seg.set((N - 1) + r, t); } auto as = A.dup; foreach (i; 0 .. N) { add(as[i]); } foreach (h; 0 .. Q) { /* b[i] - k + (N - 1) x[i] <= 0 k >= b[i] x[i] <= floor((k - b[i]) / (N - 1)) OK if k >= \sum_i b[i] + N (N - 1) k = (N - 1) q + r N q - \sum_i floor(b[i] / (N - 1)) - #{i | (b[i] mod (N - 1)) > r} >= (N - 1) q + r q >= \sum_i floor(b[i] / (N - 1)) + N - 1 + (r + 1) - #{i | (b[i] mod (N - 1)) <= r} */ rem(as[I[h]]); as[I[h]] = X[h]; add(as[I[h]]); long ans = INF; if (setB.back <= 0) { ans = 0; } else { const lb = setB.back; const r = cast(int)(lb % (N - 1)); const q = (lb - r) / (N - 1); debug { // writefln("lb = %s, r = %s", lb, r); } { const resL = seg.query(0, r); const res = seg.query(r, N - 1); long cost = sumQuot + N - 1 + (resL.sum + res.mn); if (cost < q) { const pos = seg.binarySearchR(r, (T t) { return (q >= sumQuot + N - 1 + (resL.sum + t.mn)); }) - 1; chmin(ans, (N - 1) * q + pos); } else { chmin(ans, (N - 1) * cost + res.pos); } } { const res = seg.query(0, N - 1); long cost = sumQuot + N - 1 + res.mn; if (cost < q + 1) { const pos = seg.binarySearchR(0, (T t) { return (q + 1 >= sumQuot + N - 1 + t.mn); }) - 1; chmin(ans, (N - 1) * (q + 1) + pos); } else { chmin(ans, (N - 1) * cost + res.pos); } } } writeln(ans); debug { for (long brt = max(setB.back, 0); ; ++brt) { long sum; foreach (i; 0 .. N) { const b = as[i] - (N - 2); sum += (brt - b) / (N - 1); } if (sum >= brt) { if (brt != ans) { writeln("as = ", as); writeln("brt = ", brt); writeln("ans = ", ans); writeln("seg.ts = ", seg.ts); } assert(brt == ans); break; } } } } debug { writeln("========"); stdout.flush; } } } } catch (EOFException e) { } }