#567910 (D) No.1261 数字集め

• 問題: No.1261 数字集め
• ユーザー: hos.lyric
• 提出日時: 2020-10-16 22:41:29
• 言語: D (dmd 2.109.1)
• 結果: AC
• 実行時間: 4,302 ms / 8,000 ms
• コード長: 4,395 bytes
• コンパイル時間: 2,639 ms
• コンパイル使用メモリ: 154,848 KB
• 実行使用メモリ: 44,556 KB
• 最終ジャッジ日時: 2024-06-22 09:37:04
• 合計ジャッジ時間: 263,870 ms
• ジャッジサーバーID （参考情報）: judge4 / judge1

ファイルパターン	結果
other	AC * 94

ソースコード

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)); }


struct ModInt(int M_) {
  import std.conv : to;
  alias M = M_;
  int x;
  this(ModInt a) { x = a.x; }
  this(long a) { x = cast(int)(a % M); if (x < 0) x += M; }
  ref ModInt opAssign(long a) { return (this = ModInt(a)); }
  ref ModInt opOpAssign(string op)(ModInt a) {
    static if (op == "+") { x += a.x; if (x >= M) x -= M; }
    else static if (op == "-") { x -= a.x; if (x < 0) x += M; }
    else static if (op == "*") { x = cast(int)((cast(long)(x) * a.x) % M); }
    else static if (op == "/") { this *= a.inv(); }
    else static assert(false);
    return this;
  }
  ref ModInt opOpAssign(string op)(long a) {
    static if (op == "^^") {
      if (a < 0) return (this = inv()^^(-a));
      ModInt t2 = this, te = ModInt(1);
      for (long e = a; e > 0; e >>= 1) {
        if (e & 1) te *= t2;
        t2 *= t2;
      }
      x = cast(int)(te.x);
      return this;
    } else return mixin("this " ~ op ~ "= ModInt(a)");
  }
  ModInt inv() const {
    int a = x, b = M, y = 1, z = 0, t;
    for (; ; ) {
      t = a / b; a -= t * b;
      if (a == 0) {
        assert(b == 1 || b == -1);
        return ModInt(b * z);
      }
      y -= t * z;
      t = b / a; b -= t * a;
      if (b == 0) {
        assert(a == 1 || a == -1);
        return ModInt(a * y);
      }
      z -= t * y;
    }
  }
  ModInt opUnary(string op: "-")() const { return ModInt(-x); }
  ModInt opBinary(string op, T)(T a) const {
    return mixin("ModInt(this) " ~ op ~ "= a");
  }
  ModInt opBinaryRight(string op)(long a) const {
    return mixin("ModInt(a) " ~ op ~ "= this");
  }
  bool opCast(T: bool)() const { return (x != 0); }
  string toString() const { return x.to!string; }
}

enum MO = 1000000007;
alias Mint = ModInt!MO;


void main() {
  try {
    for (; ; ) {
      const N = readInt();
      const M = readLong();
      auto A = new Mint[N + 1];
      foreach (u; 2 .. N + 1) {
// if(N==10^^6){A[u]=u;continue;}
        A[u] = readLong() - 1;
      }
      const Q = readInt();
      auto X = new int[Q];
      auto Y = new int[Q];
      foreach (q; 0 .. Q) {
        X[q] = readInt();
        Y[q] = readInt();
      }
      
      auto AA = new Mint[N + 1];
      foreach (u; 2 .. N + 1) {
        AA[u] = A[u]^^((M - 3) + 2);
      }
      
      Mint calc(int u, int v) {
        const a = A[u], aa = AA[u];
        const b = A[v], bb = AA[v];
        const c = A[N], cc = AA[N];
        Mint ret = -(aa * (b - c) + bb * (c - a) + cc * (a - b));
        ret /= (a - b) * (b - c) * (c - a);
        debug {
          writeln(u, " ", v, ": ", ret);
        }
        return ret;
      }
      
      Mint ans;
      auto goal = new bool[N + 1];
      auto sums = new Mint[N + 1];
      
      void add(int u, int v) {
        if (v == N) {
          ans += sums[u];
          goal[u] = true;
        } else {
          const here = calc(u, v);
          if (goal[v]) {
            ans += here;
          }
          sums[v] += here;
        }
      }
      
      foreach (u; 2 .. N + 1) {
        for (int v = 2 * u; v <= N; v += u) {
          add(u, v);
        }
      }
      writeln(ans);
      foreach (q; 0 .. Q) {
        add(X[q], Y[q]);
        writeln(ans);
      }
    }
  } catch (EOFException e) {
  }
}