#389061 (D) No.907 Continuous Kadomatu

提出ソース

結果

問題	No.907 Continuous Kadomatu
ユーザー	👑 hos.lyric
提出日時	2019-10-11 22:21:24
言語	D (dmd 2.106.1)
結果	AC
実行時間	139 ms / 2,000 ms
コード長	5,380 bytes
コンパイル時間	1,797 ms
コンパイル使用メモリ	163,224 KB
実行使用メモリ	31,448 KB
最終ジャッジ日時	2024-06-22 02:46:48
合計ジャッジ時間	3,059 ms
ジャッジサーバーID （参考情報）	judge5 / judge3

このコードへのチャレンジ
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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	1 ms 6,812 KB
testcase_01	AC	1 ms 6,940 KB
testcase_02	AC	1 ms 6,940 KB
testcase_03	AC	1 ms 6,944 KB
testcase_04	AC	1 ms 6,944 KB
testcase_05	AC	4 ms 6,940 KB
testcase_06	AC	1 ms 6,944 KB
testcase_07	AC	3 ms 6,940 KB
testcase_08	AC	4 ms 6,944 KB
testcase_09	AC	3 ms 6,944 KB
testcase_10	AC	6 ms 6,944 KB
testcase_11	AC	7 ms 6,944 KB
testcase_12	AC	14 ms 6,940 KB
testcase_13	AC	14 ms 6,940 KB
testcase_14	AC	16 ms 6,948 KB
testcase_15	AC	16 ms 6,940 KB
testcase_16	AC	16 ms 6,940 KB
testcase_17	AC	16 ms 7,116 KB
testcase_18	AC	16 ms 6,948 KB
testcase_19	AC	16 ms 6,940 KB
testcase_20	AC	3 ms 6,940 KB
testcase_21	AC	2 ms 6,940 KB
testcase_22	AC	1 ms 6,944 KB
testcase_23	AC	137 ms 31,448 KB
testcase_24	AC	139 ms 24,116 KB
testcase_25	AC	1 ms 6,940 KB
testcase_26	AC	1 ms 6,940 KB
testcase_27	AC	1 ms 6,940 KB
testcase_28	AC	1 ms 6,940 KB
testcase_29	AC	1 ms 6,944 KB

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ソースコード

raw source code

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(int M_) {
  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 assert(false);
    return this;
  }
  ref ModInt opOpAssign(string op)(long a) {
    static if (op == "^^") {
      ModInt t2 = this, te = ModInt(1);
      for (long e = a; e; 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 if (op == "-") { 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"); }
  string toString() const { return x.to!string; }
}

enum MO = 10L^^9 + 7;
alias Mint = ModInt!MO;

enum LIM = 1010;
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[] integrate(Mint[] f) {
  const sz = cast(int)(f.length);
  auto g = new Mint[sz + 1];
  foreach (d; 0 .. sz) {
    g[d + 1] = f[d] * inv[d + 1];
  }
  return g;
}

Mint eval(Mint[] f, Mint x) {
  Mint y;
  foreach_reverse (a; f) {
    y = y * x + a;
  }
  return y;
}

void main() {
  prepare();
  
  try {
    for (; ; ) {
      const N = readInt();
      auto A = new long[N];
      auto B = new long[N];
      foreach (i; 0 .. N) {
        A[i] = readLong();
        B[i] = readLong();
      }
      
      auto xs = A.dup ~ B.dup;
      xs = xs.sort.uniq.array;
      const len = cast(int)(xs.length) - 1;
      auto dp = new Mint[][][](N, len);
      {
        const coef = Mint(B[0] - A[0]).inv;
        foreach (e; 0 .. len) {
          if (A[0] <= xs[e] && xs[e + 1] <= B[0]) {
            dp[0][e] = [coef];
          }
        }
      }
      foreach (i; 1 .. N) {
        const coef = Mint(B[i] - A[i]).inv;
        if (i % 2 == 0) {
          // >=
          Mint sum;
          foreach_reverse (e; 0 .. len) {
            auto g = dp[i - 1][e].integrate;
            const y0 = g.eval(Mint(xs[e]));
            const y1 = g.eval(Mint(xs[e + 1]));
            if (A[i] <= xs[e] && xs[e + 1] <= B[i]) {
              dp[i][e] = g.dup;
              dp[i][e][] *= Mint(-1);
              dp[i][e][0] += sum + y1;
              dp[i][e][] *= coef;
            }
            sum += y1 - y0;
          }
        } else {
          // <=
          Mint sum;
          foreach (e; 0 .. len) {
            auto g = dp[i - 1][e].integrate;
            const y0 = g.eval(Mint(xs[e]));
            const y1 = g.eval(Mint(xs[e + 1]));
            if (A[i] <= xs[e] && xs[e + 1] <= B[i]) {
              dp[i][e] = g.dup;
              dp[i][e][0] += sum - y0;
              dp[i][e][] *= coef;
            }
            sum += y1 - y0;
          }
        }
      }
      debug {
        writeln("xs = ", xs);
        foreach (i; 0 .. N) {
          foreach (e; 0 .. len) {
            write(dp[i][e], " ");
          }
          writeln();
        }
      }
      
      Mint ans;
      foreach (e; 0 .. len) {
        auto g = dp[N - 1][e].integrate;
        const y0 = g.eval(Mint(xs[e]));
        const y1 = g.eval(Mint(xs[e + 1]));
        ans += y1 - y0;
      }
      writeln(ans);
    }
  } catch (EOFException e) {
  }
}

yukicoder

結果

テストケース

ソースコード