結果

問題 No.463 魔法使いのすごろく🎲
ユーザー りあんりあん
提出日時 2016-12-16 16:31:07
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 38 ms / 2,000 ms
コード長 10,943 bytes
コンパイル時間 966 ms
コンパイル使用メモリ 120,984 KB
実行使用メモリ 28,432 KB
最終ジャッジ日時 2024-05-07 16:06:56
合計ジャッジ時間 3,299 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 31 ms
26,288 KB
testcase_01 AC 30 ms
28,388 KB
testcase_02 AC 31 ms
26,392 KB
testcase_03 AC 30 ms
28,268 KB
testcase_04 AC 30 ms
26,136 KB
testcase_05 AC 29 ms
26,224 KB
testcase_06 AC 28 ms
28,396 KB
testcase_07 AC 29 ms
26,520 KB
testcase_08 AC 29 ms
26,256 KB
testcase_09 AC 33 ms
26,488 KB
testcase_10 AC 29 ms
26,264 KB
testcase_11 AC 29 ms
26,644 KB
testcase_12 AC 28 ms
24,500 KB
testcase_13 AC 29 ms
26,136 KB
testcase_14 AC 33 ms
26,220 KB
testcase_15 AC 32 ms
26,284 KB
testcase_16 AC 29 ms
26,640 KB
testcase_17 AC 33 ms
26,260 KB
testcase_18 AC 30 ms
26,416 KB
testcase_19 AC 31 ms
26,412 KB
testcase_20 AC 29 ms
26,468 KB
testcase_21 AC 35 ms
26,420 KB
testcase_22 AC 35 ms
27,628 KB
testcase_23 AC 35 ms
26,512 KB
testcase_24 AC 36 ms
24,372 KB
testcase_25 AC 36 ms
26,132 KB
testcase_26 AC 35 ms
26,392 KB
testcase_27 AC 36 ms
26,132 KB
testcase_28 AC 35 ms
26,616 KB
testcase_29 AC 37 ms
28,432 KB
testcase_30 AC 38 ms
26,156 KB
testcase_31 AC 35 ms
26,132 KB
testcase_32 AC 34 ms
26,164 KB
testcase_33 AC 34 ms
26,476 KB
testcase_34 AC 34 ms
28,268 KB
testcase_35 AC 29 ms
26,260 KB
testcase_36 AC 28 ms
26,344 KB
testcase_37 AC 31 ms
28,388 KB
testcase_38 AC 24 ms
26,252 KB
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コンパイルメッセージ
Microsoft (R) Visual C# Compiler version 3.9.0-6.21124.20 (db94f4cc)
Copyright (C) Microsoft Corporation. All rights reserved.

ソースコード

diff # 

using System;
using System.Collections.Generic;
using System.Linq;
using System.Linq.Expressions;
using System.IO;
//using System.Diagnostics;

using Binary = System.Func<System.Linq.Expressions.ParameterExpression, System.Linq.Expressions.ParameterExpression, System.Linq.Expressions.BinaryExpression>;
using Unary = System.Func<System.Linq.Expressions.ParameterExpression, System.Linq.Expressions.UnaryExpression>;

class Program
{
    static StreamWriter sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
    static Scan sc = new Scan();
//    static Scan sc = new ScanCHK();
    const int M = 1000000007;
    const double eps = 1e-9;
    static readonly int[] dd = { 0, 1, 0, -1, 0 };
    static void Main()
    {
        int n, m;
        sc.Multi(out n, out m);
        if (n == 2)
        {
            DBG(0);
            return;
        }
        var inp = sc.IntArr;
        var c = new double[n - 1];
        for (int i = 0; i < n - 2; i++)
        {
            c[i + 1] = inp[i];
        }
        var a = new double[n - 1][];
        var ac = new double[n - 1][];
        for (int i = 0; i < n - 1; i++)
        {
            a[i] = new double[n - 1];
            ac[i] = new double[n - 1];
            a[i][i] = m;
        }
        for (int i = 0; i < n - 1; i++)
        {
            for (int j = i + 1; j < m + i + 1; j++)
            {
                if (j == n - 1) continue;

                a[i][j < n - 1 ? j : n * 2 - 2 - j] -= 1;
                ac[i][j < n - 1 ? j : n * 2 - 2 - j] += 1;
            }
        }
        var p = mymath.mul(inv(a), mymath.mul(ac, c));
        var q = new double[n - 1];
        for (int i = n - 2; i >= 0; i--)
        {
            if (i + m >= n - 1)
            {
                q[i] = 0;
                continue;
            }
            q[i] = p[i];
            for (int j = 1; j <= m && i + j < n - 1; j++)
            {
                q[i] = Math.Min(q[i], p[i + j] + c[i + j]);
            }
            double sum = 0;
            for (int j = i + 1; j < m + i + 1; j++)
            {
                if (j == n - 1) continue;

                sum += q[j < n - 1 ? j : n * 2 - 2 - j] + c[j < n - 1 ? j : n * 2 - 2 - j];
            }
            q[i] = Math.Min(q[i], sum / m);
        }
        Prt(q[0]);
        sw.Flush();
    }

    static double[][] inv(double[][] a)
    {
        int n = a.Length;
        var b = new double[n][];
        var ret = new double[n][];
        for (int i = 0; i < n; i++)
        {
            b[i] = a[i].copy();
            ret[i] = new double[n];
            ret[i][i] = 1;
        }
        for (int i = 0; i < n; i++)
        {
            double buf = 1 / b[i][i];
            for (int j = 0; j < n; j++)
            {
                b[i][j] *= buf;
                ret[i][j] *= buf;
            }
            for (int j = 0; j < n; j++)
            {
                if (i != j)
                {
                    buf = b[j][i];
                    for (int k = 0; k < n; k++)
                    {
                        b[j][k] -= b[i][k] * buf;
                        ret[j][k] -= ret[i][k] * buf;
                    }
                }
            }
        }
        return ret;
    }

    static void swap<T>(ref T a, ref T b) { var t = a; a = b; b = t; }
    static T Max<T>(params T[] a) => a.Max();
    static T Min<T>(params T[] a) => a.Min();
    static void DBG<T>(params T[] a) => Console.WriteLine(string.Join(" ", a));
    static void DBG(params object[] a) => Console.WriteLine(string.Join(" ", a));
    static void Prt<T>(params T[] a) => sw.WriteLine(string.Join(" ", a));
    static void Prt(params object[] a) => sw.WriteLine(string.Join(" ", a));
}
static class ex
{
    public static string con<T>(this IEnumerable<T> a) => a.con(" ");
    public static string con<T>(this IEnumerable<T> a, string s) => string.Join(s, a);
    public static void swap<T>(this IList<T> a, int i, int j) { var t = a[i]; a[i] = a[j]; a[j] = t; }
    public static T[] copy<T>(this IList<T> a)
    {
        var ret = new T[a.Count];
        for (int i = 0; i < a.Count; i++) ret[i] = a[i];
        return ret;
    }
}
static class Operator<T>
{
    static readonly ParameterExpression x = Expression.Parameter(typeof(T), "x");
    static readonly ParameterExpression y = Expression.Parameter(typeof(T), "y");
    public static readonly Func<T, T, T> Add = Lambda(Expression.Add);
    public static readonly Func<T, T, T> Subtract = Lambda(Expression.Subtract);
    public static readonly Func<T, T, T> Multiply = Lambda(Expression.Multiply);
    public static readonly Func<T, T, T> Divide = Lambda(Expression.Divide);
    public static readonly Func<T, T> Plus = Lambda(Expression.UnaryPlus);
    public static readonly Func<T, T> Negate = Lambda(Expression.Negate);
    public static Func<T, T, T> Lambda(Binary op) => Expression.Lambda<Func<T, T, T>>(op(x, y), x, y).Compile();
    public static Func<T, T> Lambda(Unary op) => Expression.Lambda<Func<T, T>>(op(x), x).Compile();
}

class ScanCHK : Scan
{
    public new string Str { get { var s = Console.ReadLine(); if (s != s.Trim()) throw new Exception(); return s; } }
}
class Scan
{
    public int Int => int.Parse(Str);
    public long Long => long.Parse(Str);
    public double Double => double.Parse(Str);
    public string Str => Console.ReadLine().Trim();
    public int[] IntArr => StrArr.Select(int.Parse).ToArray();
    public long[] LongArr => StrArr.Select(long.Parse).ToArray();
    public double[] DoubleArr => StrArr.Select(double.Parse).ToArray();
    public string[] StrArr => Str.Split();
    bool eq<T, U>() => typeof(T).Equals(typeof(U));
    T ct<T, U>(U a) => (T)Convert.ChangeType(a, typeof(T));
    T cv<T>(string s) => eq<T, int>() ? ct<T, int>(int.Parse(s))
                       : eq<T, long>() ? ct<T, long>(long.Parse(s))
                       : eq<T, double>() ? ct<T, double>(double.Parse(s))
                       : eq<T, char>() ? ct<T, char>(s[0]) : ct<T, string>(s);
    public void Multi<T>(out T a) => a = cv<T>(Str);
    public void Multi<T, U>(out T a, out U b)
    { var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); }
    public void Multi<T, U, V>(out T a, out U b, out V c)
    { var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]); }
    public void Multi<T, U, V, W>(out T a, out U b, out V c, out W d)
    { var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]); d = cv<W>(ar[3]); }
    public void Multi<T, U, V, W, X>(out T a, out U b, out V c, out W d, out X e)
    { var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]); d = cv<W>(ar[3]); e = cv<X>(ar[4]); }
}
class mymath
{
    public static long Mod = 1000000007;
    public static bool isprime(long a)
    {
        if (a < 2) return false;
        for (long i = 2; i * i <= a; i++) if (a % i == 0) return false;
        return true;
    }
    public static bool[] sieve(int n)
    {
        var p = new bool[n + 1];
        for (int i = 2; i <= n; i++) p[i] = true;
        for (int i = 2; i * i <= n; i++) if (p[i]) for (int j = i * i; j <= n; j += i) p[j] = false;
        return p;
    }
    public static List<int> getprimes(int n)
    {
        var prs = new List<int>();
        var p = sieve(n);
        for (int i = 2; i <= n; i++) if (p[i]) prs.Add(i);
        return prs;
    }
    public static long[][] E(int n)
    {
        var ret = new long[n][];
        for (int i = 0; i < n; i++) { ret[i] = new long[n]; ret[i][i] = 1; }
        return ret;
    }
    public static long[][] pow(long[][] A, long n)
    {
        if (n == 0) return E(A.Length);
        var t = pow(A, n / 2);
        if ((n & 1) == 0) return mul(t, t);
        return mul(mul(t, t), A);
    }
    public static double dot(double[] x, double[] y)
    {
        int n = x.Length;
        double ret = 0;
        for (int i = 0; i < n; i++) ret += x[i] * y[i];
        return ret;
    }
    public static long dot(long[] x, long[] y)
    {
        int n = x.Length;
        long ret = 0;
        for (int i = 0; i < n; i++) ret = (ret + x[i] * y[i]) % Mod;
        return ret;
    }
    public static T[][] trans<T>(T[][] A)
    {
        int n = A[0].Length, m = A.Length;
        var ret = new T[n][];
        for (int i = 0; i < n; i++) { ret[i] = new T[m]; for (int j = 0; j < m; j++) ret[i][j] = A[j][i]; }
        return ret;
    }
    public static double[] mul(double[][] A, double[] x)
    {
        int n = A.Length;
        var ret = new double[n];
        for (int i = 0; i < n; i++) ret[i] = dot(x, A[i]);
        return ret;
    }
    public static long[] mul(long[][] A, long[] x)
    {
        int n = A.Length;
        var ret = new long[n];
        for (int i = 0; i < n; i++) ret[i] = dot(x, A[i]);
        return ret;
    }
    public static long[][] mul(long[][] A, long[][] B)
    {
        int n = A.Length;
        var Bt = trans(B);
        var ret = new long[n][];
        for (int i = 0; i < n; i++) ret[i] = mul(Bt, A[i]);
        return ret;
    }
    public static long[] add(long[] x, long[] y)
    {
        int n = x.Length;
        var ret = new long[n];
        for (int i = 0; i < n; i++) ret[i] = (x[i] + y[i]) % Mod;
        return ret;
    }
    public static long[][] add(long[][] A, long[][] B)
    {
        int n = A.Length;
        var ret = new long[n][];
        for (int i = 0; i < n; i++) ret[i] = add(A[i], B[i]);
        return ret;
    }
    public static long pow(long a, long b)
    {
        if (a >= Mod) return pow(a % Mod, b);
        if (a == 0) return 0;
        if (b == 0) return 1;
        var t = pow(a, b / 2);
        if ((b & 1) == 0) return t * t % Mod;
        return t * t % Mod * a % Mod;
    }
    public static long inv(long a) => pow(a, Mod - 2);
    public static long gcd(long a, long b)
    {
        while (b > 0) { var t = a % b; a = b; b = t; }
        return a;
    }
    // a x + b y = gcd(a, b)
    public static long extgcd(long a, long b, out long x, out long y)
    {
        long g = a; x = 1; y = 0;
        if (b > 0) { g = extgcd(b, a % b, out y, out x); y -= a / b * x; }
        return g;
    }
    public static long lcm(long a, long b) => a / gcd(a, b) * b;
    public static long comb(int n, int r)
    {
        if (n < 0 || r < 0 || r > n) return 0;
        if (n - r < r) r = n - r;
        if (r == 0) return 1;
        if (r == 1) return n;
        int[] numer = new int[r], denom = new int[r];
        for (int k = 0; k < r; k++) { numer[k] = n - r + k + 1; denom[k] = k + 1; }
        for (int p = 2; p <= r; p++)
        {
            int piv = denom[p - 1];
            if (piv > 1)
            {
                int ofst = (n - r) % p;
                for (int k = p - 1; k < r; k += p) { numer[k - ofst] /= piv; denom[k] /= piv; }
            }
        }
        long ret = 1;
        for (int k = 0; k < r; k++) if (numer[k] > 1) ret = ret * numer[k] % Mod;
        return ret;
    }
}
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