結果

問題 No.1358 [Zelkova 2nd Tune *] 語るなら枚数を...
ユーザー 👑 hos.lyrichos.lyric
提出日時 2021-01-22 22:22:13
言語 D
(dmd 2.107.1)
結果
AC  
実行時間 557 ms / 2,000 ms
コード長 4,997 bytes
コンパイル時間 1,837 ms
コンパイル使用メモリ 158,240 KB
実行使用メモリ 4,384 KB
最終ジャッジ日時 2023-09-04 11:59:09
合計ジャッジ時間 5,250 ms
ジャッジサーバーID
（参考情報） 		judge12 / judge13
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 3 ms
4,380 KB
testcase_01 AC 2 ms
4,376 KB
testcase_02 AC 1 ms
4,376 KB
testcase_03 AC 1 ms
4,376 KB
testcase_04 AC 2 ms
4,384 KB
testcase_05 AC 2 ms
4,384 KB
testcase_06 AC 8 ms
4,376 KB
testcase_07 AC 5 ms
4,380 KB
testcase_08 AC 6 ms
4,376 KB
testcase_09 AC 5 ms
4,380 KB
testcase_10 AC 5 ms
4,380 KB
testcase_11 AC 554 ms
4,376 KB
testcase_12 AC 412 ms
4,376 KB
testcase_13 AC 557 ms
4,376 KB
testcase_14 AC 391 ms
4,380 KB
testcase_15 AC 460 ms
4,380 KB
testcase_16 AC 504 ms
4,384 KB
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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 = 10^^9 + 7;
alias Mint = ModInt!MO;


// floor(a / b)
Int divFloor(Int)(Int a, Int b) {
  return a / b - (((a ^ b) < 0 && a % b != 0) ? 1 : 0);
}

// ceil(a / b)
Int divCeil(Int)(Int a, Int b) {
  return a / b + (((a ^ b) > 0 && a % b != 0) ? 1 : 0);
}

Tuple!(long, long, long) gojo(long a, long b) {
  if (b == 0) return (a < 0) ? tuple(-a, -1L, 0L) : tuple(a, 1L, 0L);
  long c = a, d = b, x = 1, y = 0, t;
  for (; ; ) {
    t = c / d; c -= t * d; x -= t * y;
    if (c == 0) {
      if (d < 0) { d = -d; y = -y; }
      return tuple(d, y, (d - a * y) / b);
    }
    t = d / c; d -= t * c; y -= t * x;
    if (d == 0) {
      if (c < 0) { c = -c; x = -x; }
      return tuple(c, x, (c - a * x) / b);
    }
  }
}


void main() {
  try {
    for (; ; ) {
      const numCases = readInt();
      foreach (caseId; 0 .. numCases) {
        auto A = new long[3];
        foreach (i; 0 .. 3) {
          A[i] = readLong();
        }
        const B = readLong();
        A.sort;
        
        const res = gojo(A[0], A[1]);
        const g = res[0];
        const w0 = res[1], w1 = res[2];
        const p = A[0] / g, q = A[1] / g;
        assert(A[0] * w0 + A[1] * w1 == g);
        assert(A[0] * q - A[1] * p == 0);
        
        Mint ans;
        foreach (x2; 0 .. B / A[2] + 1) {
          const b = B - A[2] * x2;
          if (b % g == 0) {
            long x0 = w0 * (b / g);
            long x1 = w1 * (b / g);
            assert(A[0] * x0 + A[1] * x1 == b);
            if (x0 < 0) {
              const tmp = divCeil(0 - x0, q);
              x0 += q * tmp;
              x1 -= p * tmp;
            }
            {
              const tmp = divFloor(x0 - 0, q);
              x0 -= q * tmp;
              x1 += p * tmp;
            }
            assert(A[0] * x0 + A[1] * x1 == b);
            if (x1 >= 0) {
              debug {
                if (B <= 10) {
                  writeln(b, ": ", x0, " ", x1, "; ", divFloor(x1 - 0, p) + 1);
                }
              }
              ans += divFloor(x1 - 0, p) + 1;
            }
          }
        }
        writeln(ans);
      }
    }
  } catch (EOFException e) {
  }
}
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