結果

問題 No.1394 Changing Problems
コンテスト
ユーザー hos.lyric
提出日時 2021-02-13 00:18:50
言語 D
(dmd 2.109.1)
結果
AC  
実行時間 1,292 ms / 3,000 ms
コード長 8,279 bytes
コンパイル時間 1,839 ms
コンパイル使用メモリ 167,172 KB
実行使用メモリ 56,412 KB
最終ジャッジ日時 2024-06-22 10:53:13
合計ジャッジ時間 29,335 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge3
このコードへのチャレンジ
（要ログイン）
ファイルパターン 結果
sample AC * 3
other AC * 29
権限があれば一括ダウンロードができます

ソースコード

diff # 

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) {
  }
}
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