結果

問題 No.1411 Hundreds of Conditions Sequences
ユーザー 👑 hos.lyrichos.lyric
提出日時 2021-02-26 21:34:38
言語 D
(dmd 2.109.1)
結果
AC  
実行時間 272 ms / 2,000 ms
コード長 5,273 bytes
コンパイル時間 1,404 ms
コンパイル使用メモリ 155,524 KB
実行使用メモリ 55,900 KB
最終ジャッジ日時 2024-06-22 10:57:16
合計ジャッジ時間 21,158 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge1
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ファイルパターン 結果
sample AC * 2
other AC * 62
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)); }


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;

enum LIM = 10^^6 + 10;
Mint[] inv, fac, invFac;
void prepare() {
  inv = new Mint[LIM];
  fac = new Mint[LIM];
  invFac = new Mint[LIM];
  inv[1] = 1;
  foreach (i; 2 .. LIM) {
    inv[i] = -(Mint.M / i) * inv[cast(size_t)(Mint.M % i)];
  }
  fac[0] = invFac[0] = 1;
  foreach (i; 1 .. LIM) {
    fac[i] = fac[i - 1] * i;
    invFac[i] = invFac[i - 1] * inv[i];
  }
}
Mint binom(long n, long k) {
  if (0 <= k && k <= n) {
    assert(n < LIM);
    return fac[cast(size_t)(n)] * invFac[cast(size_t)(k)] * invFac[cast(size_t)(n - k)];
  } else {
    return Mint(0);
  }
}


void main() {
  prepare;
  
  auto lpf = iota(LIM).array;
  foreach (p; 2 .. LIM) {
    if (lpf[p] == p) {
      for (int n = 2 * p; n < LIM; n += p) {
        chmin(lpf[n], p);
      }
    }
  }
  
  try {
    for (; ; ) {
      const N = readInt();
      auto A = new int[N];
      foreach (i; 0 .. N) {
        A[i] = readInt();
      }
      
      Mint prodAll = 1;
      foreach (i; 0 .. N) {
        prodAll *= A[i];
      }
      
      auto ess = new int[][](LIM, 2);
      foreach (i; 0 .. N) {
        for (int a = A[i]; a > 1; ) {
          const p = lpf[a];
          int e;
          do {
            ++e;
            a /= p;
          } while (a % p == 0);
          foreach (k; 0 .. 2) {
            if (ess[p][k] < e) {
              swap(ess[p][k], e);
            }
          }
        }
      }
      debug {
        foreach (p; 2 .. 30) {
          if (lpf[p] == p) {
            writeln(p, ": ", ess[p]);
          }
        }
      }
      
      Mint lcmAll = 1;
      foreach (p; 2 .. LIM) {
        foreach (_; 0 .. ess[p][0]) {
          lcmAll *= p;
        }
      }
      foreach (i; 0 .. N) {
        Mint prod = prodAll;
        prod *= inv[A[i]];
        Mint lcm = lcmAll;
        for (int a = A[i]; a > 1; ) {
          const p = lpf[a];
          int e;
          do {
            ++e;
            a /= p;
          } while (a % p == 0);
          if (ess[p][0] == e) {
            debug {
              writefln("divide by %s^(%s-%s)", p, ess[p][0], ess[p][1]);
            }
            foreach (_; 0 .. e - ess[p][1]) {
              lcm *= inv[p];
            }
          }
        }
        debug {
          writeln(i, " ", A[i], ": ", prod, " ", lcm);
        }
        const ans = prod - lcm;
        writeln(ans);
      }
    }
  } catch (EOFException e) {
  }
}
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