結果

問題 No.856 増える演算
ユーザー 👑 hos.lyrichos.lyric
提出日時 2019-07-26 22:45:59
言語 D
(dmd 2.106.1)
結果
TLE  
実行時間 -
コード長 4,421 bytes
コンパイル時間 2,217 ms
コンパイル使用メモリ 176,740 KB
実行使用メモリ 37,904 KB
最終ジャッジ日時 2024-06-22 02:06:24
合計ジャッジ時間 28,488 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge2
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 217 ms
37,904 KB
testcase_01 AC 218 ms
30,048 KB
testcase_02 AC 215 ms
30,304 KB
testcase_03 AC 217 ms
31,192 KB
testcase_04 AC 215 ms
31,392 KB
testcase_05 AC 217 ms
30,320 KB
testcase_06 AC 217 ms
30,148 KB
testcase_07 AC 218 ms
32,364 KB
testcase_08 AC 218 ms
31,748 KB
testcase_09 AC 217 ms
30,840 KB
testcase_10 AC 215 ms
30,968 KB
testcase_11 AC 219 ms
32,452 KB
testcase_12 AC 219 ms
31,320 KB
testcase_13 AC 218 ms
31,808 KB
testcase_14 AC 221 ms
30,516 KB
testcase_15 AC 217 ms
29,972 KB
testcase_16 AC 218 ms
30,744 KB
testcase_17 AC 219 ms
29,656 KB
testcase_18 AC 218 ms
33,308 KB
testcase_19 AC 219 ms
30,928 KB
testcase_20 AC 216 ms
30,164 KB
testcase_21 AC 218 ms
29,880 KB
testcase_22 AC 219 ms
31,732 KB
testcase_23 AC 220 ms
31,876 KB
testcase_24 AC 221 ms
31,548 KB
testcase_25 AC 216 ms
30,440 KB
testcase_26 AC 217 ms
30,180 KB
testcase_27 AC 216 ms
31,604 KB
testcase_28 AC 218 ms
29,996 KB
testcase_29 AC 219 ms
31,556 KB
testcase_30 AC 219 ms
30,080 KB
testcase_31 AC 217 ms
30,908 KB
testcase_32 AC 220 ms
30,020 KB
testcase_33 AC 224 ms
30,912 KB
testcase_34 AC 227 ms
31,060 KB
testcase_35 AC 226 ms
33,116 KB
testcase_36 AC 229 ms
32,764 KB
testcase_37 AC 228 ms
30,800 KB
testcase_38 AC 220 ms
31,308 KB
testcase_39 AC 219 ms
30,900 KB
testcase_40 AC 222 ms
32,836 KB
testcase_41 AC 222 ms
31,408 KB
testcase_42 AC 231 ms
31,584 KB
testcase_43 AC 222 ms
30,544 KB
testcase_44 AC 217 ms
30,864 KB
testcase_45 AC 220 ms
32,056 KB
testcase_46 AC 222 ms
31,920 KB
testcase_47 AC 220 ms
29,860 KB
testcase_48 AC 225 ms
30,564 KB
testcase_49 AC 226 ms
29,940 KB
testcase_50 AC 228 ms
31,596 KB
testcase_51 AC 230 ms
31,248 KB
testcase_52 AC 233 ms
32,324 KB
testcase_53 AC 269 ms
31,760 KB
testcase_54 AC 248 ms
30,308 KB
testcase_55 AC 266 ms
30,640 KB
testcase_56 AC 245 ms
30,648 KB
testcase_57 AC 270 ms
31,460 KB
testcase_58 AC 260 ms
32,820 KB
testcase_59 AC 284 ms
32,860 KB
testcase_60 AC 252 ms
30,732 KB
testcase_61 AC 285 ms
32,852 KB
testcase_62 AC 279 ms
33,680 KB
testcase_63 AC 226 ms
33,440 KB
testcase_64 AC 275 ms
30,836 KB
testcase_65 AC 240 ms
31,516 KB
testcase_66 AC 252 ms
30,944 KB
testcase_67 AC 262 ms
31,684 KB
testcase_68 AC 280 ms
31,796 KB
testcase_69 AC 276 ms
31,232 KB
testcase_70 AC 293 ms
33,892 KB
testcase_71 AC 281 ms
33,120 KB
testcase_72 AC 274 ms
30,440 KB
testcase_73 AC 297 ms
33,808 KB
testcase_74 AC 295 ms
33,508 KB
testcase_75 AC 297 ms
35,476 KB
testcase_76 AC 298 ms
33,040 KB
testcase_77 AC 294 ms
33,484 KB
testcase_78 AC 298 ms
34,272 KB
testcase_79 AC 297 ms
33,196 KB
testcase_80 AC 298 ms
34,288 KB
testcase_81 AC 297 ms
33,024 KB
testcase_82 TLE -
権限があれば一括ダウンロードができます
コンパイルメッセージ
Complex!real[]
Main.d(145): Deprecation: function `std.math.exponential.log` is deprecated - `std.math.exponential.log` called with argument types `(long)` matches both `log(real)`, `log(double)`, and `log(float)`. Cast argument to floating point type instead.
Main.d(145): Deprecation: function `std.math.exponential.log` is deprecated - `std.math.exponential.log` called with argument types `(long)` matches both `log(real)`, `log(double)`, and `log(float)`. Cast argument to floating point type instead.

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.complex, std.container, std.math, 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(long M) {
  long x;
  this(in ModInt a) { x = a.x; }
  this(in long a) { x = a % M; if (x < 0) x += M; }
  ref ModInt opAssign(in long a) { return this = ModInt(a); }
  ref ModInt opOpAssign(string op)(in 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 *= a.x; x %= M; }
    else static assert(false);
    return this;
  }
  ref ModInt opOpAssign(string op)(in long a) { return mixin("this " ~ op ~ "= ModInt(a)"); }
  ModInt opUnary(string op)() const if (op == "-") { return ModInt(-x); }
  ModInt opBinary(string op, T)(in T a) const { return mixin("ModInt(this) " ~ op ~ "= a"); }
  ModInt opBinaryRight(string op)(in long a) const { return mixin("ModInt(a) " ~ op ~ "= this"); }
  string toString() const { return x.to!string; }
}


// a^-1 (mod m)
long modInv(long a, long m)
in {
  assert(m > 0, "modInv: m > 0 must hold");
}
do {
  long b = m, x = 1, y = 0, t;
  for (; ; ) {
    t = a / b;
    a -= t * b;
    if (a == 0) {
      assert(b == 1 || b == -1, "modInv: gcd(a, m) != 1");
      if (b == -1) {
        y = -y;
      }
      return (y < 0) ? (y + m) : y;
    }
    x -= t * y;
    t = b / a;
    b -= t * a;
    if (b == 0) {
      assert(a == 1 || a == -1, "modInv: gcd(a, m) != 1");
      if (a == -1) {
        x = -x;
      }
      return (x < 0) ? (x + m) : x;
    }
    y -= t * x;
  }
}


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

Mint power(Mint a, long e) {
  Mint x = a, y = 1;
  for (; e; e >>= 1) {
    if (e & 1) y *= x;
    x *= x;
  }
  return y;
}

enum L = 2^^18;

int N;
long[] A;

void main() {
  auto fft = new Fft(L);
  
  try {
    for (; ; ) {
      N = readInt();
      A = new long[N];
      foreach (i; 0 .. N) {
        A[i] = readInt();
      }
      
      auto f = new real[L];
      f[] = 0.0;
      foreach (i; 0 .. N) {
        f[cast(int)(A[i])] += 1;
      }
      auto ff = fft.fft!real(f);
      foreach (l; 0 .. L) {
        ff[l] = ff[l] * ff[l];
      }
      auto g = fft.inverseFft!real(ff);
pragma(msg,typeof(g));
      
      foreach (i; 0 .. N) {
        g[cast(int)(2 * A[i])] -= 1.0;
      }
      auto cnt = new long[L];
      foreach (l; 0 .. L) {
        cnt[l] = cast(long)(round(g[l].re / 2.0));
      }
      debug {
        writeln("cnt = ", cnt[0 .. 20]);
      }
      
if(cnt.sum!=1L*N*(N-1)/2)for(;;){}
      const lm = cnt.maxIndex;
      cnt[lm] = 0;
      cnt[lm] = 1L * N * (N - 1) / 2 - cnt.sum;
      
      
      Mint ans = 1;
      foreach (l; 0 .. L) {
        if (cnt[l] > 0) {
          ans *= power(Mint(l), cnt[l]);
        }
      }
      long ASum;
      foreach_reverse (i; 0 .. N) {
        ans *= power(Mint(A[i]), ASum);
        ASum += A[i];
      }
      
      long AMin = long.max;
      auto opt = tuple(real.infinity, 0L, 0L);
      foreach_reverse (i; 0 .. N) {
        if (i < N - 1) {
          chmin(opt, tuple(log(A[i] + AMin) + log(A[i]) * AMin, A[i], AMin));
        }
        chmin(AMin, A[i]);
      }
      debug {
        writeln("opt = ", opt);
      }
      Mint dnm = (opt[1] + opt[2]) * power(Mint(opt[1]), opt[2]);
      ans *= modInv(dnm.x, MO);
      
      writeln(ans);
    }
  } catch (EOFException e) {
  }
}
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