結果
| 問題 | No.194 フィボナッチ数列の理解(1) |
| ユーザー |
 紙ぺーぱー
|
| 提出日時 | 2015-04-26 22:34:40 |
| 言語 | C#(csc) (csc 3.9.0) |
| 結果 |
RE
|
| 実行時間 | - |
| コード長 | 7,859 bytes |
| コンパイル時間 | 2,630 ms |
| コンパイル使用メモリ | 110,376 KB |
| 実行使用メモリ | 575,604 KB |
| 最終ジャッジ日時 | 2023-09-18 12:06:21 |
| 合計ジャッジ時間 | 12,100 ms |
|
ジャッジサーバーID （参考情報） |
judge12 / judge15 |
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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 | 53 ms
24,940 KB |
| testcase_01 | AC | 55 ms
22,808 KB |
| testcase_02 | RE | - |
| testcase_03 | RE | - |
| testcase_04 | RE | - |
| testcase_05 | WA | - |
| testcase_06 | RE | - |
| testcase_07 | RE | - |
| testcase_08 | RE | - |
| testcase_09 | RE | - |
| testcase_10 | RE | - |
| testcase_11 | RE | - |
| testcase_12 | RE | - |
| testcase_13 | RE | - |
| testcase_14 | RE | - |
| testcase_15 | WA | - |
| testcase_16 | RE | - |
| testcase_17 | RE | - |
| testcase_18 | WA | - |
| testcase_19 | RE | - |
| testcase_20 | AC | 70 ms
22,700 KB |
| testcase_21 | MLE | - |
| testcase_22 | -- | - |
| testcase_23 | -- | - |
| testcase_24 | -- | - |
| testcase_25 | -- | - |
| testcase_26 | -- | - |
| testcase_27 | -- | - |
| testcase_28 | -- | - |
| testcase_29 | -- | - |
| testcase_30 | -- | - |
| testcase_31 | -- | - |
| testcase_32 | -- | - |
| testcase_33 | -- | - |
| testcase_34 | -- | - |
| testcase_35 | -- | - |
| testcase_36 | -- | - |
| testcase_37 | -- | - |
| testcase_38 | -- | - |
| testcase_39 | -- | - |
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
using System;
using System.Linq;
using System.Collections.Generic;
using Debug = System.Diagnostics.Debug;
using StringBuilder = System.Text.StringBuilder;
using System.Numerics;
namespace Program
{
public class Solver
{
public void Solve()
{
var n = sc.Integer();
var k = sc.Integer();
var a = sc.Integer(n);
//if (n > 30)
var dp = new ModInteger[k + 50];
var cum = new ModInteger[k + 50];
for (int i = 0; i < n; i++)
dp[i + 1] = a[i];
for (int i = 1; i <= n; i++)
cum[i] = dp[i] + cum[i - 1];
if (n > 30)
{
for (int i = n + 1; i <= k; i++)
{
dp[i] = cum[i - 1] - cum[Math.Max(0, i - 1 - n)];
cum[i] = dp[i] + cum[i - 1];
}
IO.Printer.Out.WriteLine("{0} {1}", dp[k], cum[k]);
}
{
var mat = new ModMatrix(2 * n, 2 * n);
for (int i = 0; i < n; i++)
mat[0, i] = 1;
for (int i = 1; i < n; i++)
mat[i, i - 1] = 1;
for (int i = 0; i < n; i++)
mat[n + i, i] = mat[n + i, n + i] = 1;
var res = ModMatrix.Pow(mat, k - 1);
ModInteger ans = 0;
for (int i = 0; i < n; i++)
ans += res[n - 1, i] * dp[n - i];
ModInteger sum = 0;
for (int i = 0; i < n; i++)
sum += res[n + n - 1, i] * dp[n - i];
IO.Printer.Out.WriteLine("{0} {1}", ans, sum + ans);
}
}
public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput());
static T[] Enumerate<T>(int n, Func<int, T> f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; }
static public void Swap<T>(ref T a, ref T b) { var tmp = a; a = b; b = tmp; }
}
}
#region Ex
namespace Program.IO
{
using System.IO;
using System.Text;
using System.Globalization;
public class Printer : StreamWriter
{
static Printer() { Out = new Printer(Console.OpenStandardOutput()) { AutoFlush = false }; }
public static Printer Out { get; set; }
public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } }
public Printer(System.IO.Stream stream) : base(stream, new UTF8Encoding(false, true)) { }
public Printer(System.IO.Stream stream, Encoding encoding) : base(stream, encoding) { }
public void Write<T>(string format, IEnumerable<T> source) { base.Write(format, source.OfType<object>().ToArray()); }
public void WriteLine<T>(string format, IEnumerable<T> source) { base.WriteLine(format, source.OfType<object>().ToArray()); }
}
public class StreamScanner
{
public StreamScanner(Stream stream) { str = stream; }
public readonly Stream str;
private readonly byte[] buf = new byte[1024];
private int len, ptr;
public bool isEof = false;
public bool IsEndOfStream { get { return isEof; } }
private byte read()
{
if (isEof) return 0;
if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; } }
return buf[ptr++];
}
public char Char() { byte b = 0; do b = read(); while (b < 33 || 126 < b); return (char)b; }
public string Scan()
{
var sb = new StringBuilder();
for (var b = Char(); b >= 33 && b <= 126; b = (char)read())
sb.Append(b);
return sb.ToString();
}
public long Long()
{
if (isEof) return long.MinValue;
long ret = 0; byte b = 0; var ng = false;
do b = read();
while (b != '-' && (b < '0' || '9' < b));
if (b == '-') { ng = true; b = read(); }
for (; true; b = read())
{
if (b < '0' || '9' < b)
return ng ? -ret : ret;
else ret = ret * 10 + b - '0';
}
}
public int Integer() { return (isEof) ? int.MinValue : (int)Long(); }
public double Double() { return double.Parse(Scan(), CultureInfo.InvariantCulture); }
private T[] enumerate<T>(int n, Func<T> f)
{
var a = new T[n];
for (int i = 0; i < n; ++i) a[i] = f();
return a;
}
public char[] Char(int n) { return enumerate(n, Char); }
public string[] Scan(int n) { return enumerate(n, Scan); }
public double[] Double(int n) { return enumerate(n, Double); }
public int[] Integer(int n) { return enumerate(n, Integer); }
public long[] Long(int n) { return enumerate(n, Long); }
}
}
static class Ex
{
static public string AsString(this IEnumerable<char> ie) { return new string(System.Linq.Enumerable.ToArray(ie)); }
static public string AsJoinedString<T>(this IEnumerable<T> ie, string st = " ") { return string.Join(st, ie); }
static public void Main()
{
var solver = new Program.Solver();
solver.Solve();
Program.IO.Printer.Out.Flush();
}
}
#endregion
#region ModNumber
public partial struct ModInteger
{
public const long Mod = (long)1e9 + 7;
public long num;
public ModInteger(long n) : this() { num = n % Mod; }
public override string ToString() { return num.ToString(); }
public static ModInteger operator +(ModInteger l, ModInteger r) { var n = l.num + r.num; if (n >= Mod)n -= Mod; return new ModInteger(n); }
public static ModInteger operator -(ModInteger l, ModInteger r) { var n = l.num - r.num; if (n < 0)n += Mod; return new ModInteger(n); }
public static ModInteger operator *(ModInteger l, ModInteger r) { return new ModInteger((l.num * r.num) % Mod); }
public static implicit operator ModInteger(long n) { return new ModInteger(n); }
}
#endregion
#region ModMatrix
public class ModMatrix
{
int row, col;
ModInteger[,] mat;
public ModInteger this[int r, int c]
{
get { return mat[r, c]; }
set { mat[r, c] = value; }
}
public ModMatrix(int r, int c)
{
row = r; col = c;
mat = new ModInteger[r, c];
}
public static ModMatrix operator +(ModMatrix l, ModMatrix r)
{
check(l, r);
var ret = new ModMatrix(l.row, l.col);
for (int i = 0; i < l.row; i++)
for (int j = 0; j < l.col; j++)
ret.mat[i, j] = l.mat[i, j] + r.mat[i, j];
return ret;
}
public static ModMatrix operator *(ModMatrix l, ModMatrix r)
{
checkMul(l, r);
var ret = new ModMatrix(l.row, l.col);
for (int i = 0; i < l.row; i++)
for (int k = 0; k < l.row; k++)
for (int j = 0; j < l.col; j++)
ret.mat[i, j] += l.mat[i, k] * r.mat[k, j];
return ret;
}
public static ModMatrix Pow(ModMatrix m, long n)
{
var ret = new ModMatrix(m.row, m.col);
for (int i = 0; i < m.row; i++)
ret.mat[i, i] = 1;
for (; n > 0; m *= m, n >>= 1)
{
if ((n & 1) == 1)
ret = ret * m;
}
return ret;
}
[System.Diagnostics.Conditional("DEBUG")]
static private void check(ModMatrix a, ModMatrix b)
{
if (a.row != b.row || a.col != b.col)
throw new Exception("row and col have to be same.");
}
[System.Diagnostics.Conditional("DEBUG")]
static private void checkMul(ModMatrix a, ModMatrix b)
{
if (a.col != b.row)
throw new Exception("row and col have to be same.");
}
}
#endregion