結果
| 問題 |
No.613 Solitude by the window
|
| コンテスト | |
| ユーザー |
 紙ぺーぱー
|
| 提出日時 | 2017-12-13 12:24:45 |
| 言語 | C#(csc) (csc 3.9.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 8,094 bytes |
| コンパイル時間 | 1,054 ms |
| コンパイル使用メモリ | 118,816 KB |
| 実行使用メモリ | 25,960 KB |
| 最終ジャッジ日時 | 2024-12-14 09:56:43 |
| 合計ジャッジ時間 | 2,652 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge5 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 2 WA * 17 RE * 2 |
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 SB = System.Text.StringBuilder;
//using System.Numerics;
//using static System.Math;
using System.IO;
using Number = ModInt;
namespace Program {
public class Solver {
public void Solve() {
long n = rl;
ModInt.Mod = ri;
//naive(n, ModInt.Mod + 1);
//for (int _ = 1; _ < 1000; _++)
{
//n = _;
//naive(2, n, ModInt.Mod);
var mat = new Matrix(2, 2);
mat[0, 0] = 4; mat[0, 1] = -1;
mat[1, 0] = 1;
ModInt.Mod -= 2;
long k = ModInt.Pow(2, n).num;
ModInt.Mod += 2;
var res = Matrix.Pow(mat, k);
var ans = (res[1, 0] * 4 + res[1, 1] * 2) - 2;
Console.WriteLine(ans);
}
}
void naive(long v, long n, int mod) {
Debug.WriteLine($"{v} {n} {mod}");
var vis = new int[mod];
vis[v] = 0;
for (int i = 0; i < n; i++) {
v = (v * v + v * 4) % mod;
if (true && vis[v] == int.MaxValue) { vis[v] = i + 1; }
else {
var T = (i + 1) - vis[v];
var rem = (n - vis[v]) % T;
naive(v, rem, mod);
return;
}
}
Console.WriteLine(v);
}
const long INF = 1L << 60;
int[] dx = { 1, 0, -1, 0 };
int[] dy = { 0, 1, 0, -1 };
//*
int ri { get { return sc.Integer(); } }
long rl { get { return sc.Long(); } }
double rd { get { return sc.Double(); } }
string rs { get { return sc.Scan(); } }
//*/
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 main
static class Ex {
static public string AsString(this IEnumerable<char> ie) { return new string(ie.ToArray()); }
static public string AsJoinedString<T>(this IEnumerable<T> ie, string st = " ") {
return string.Join(st, ie.Select(x => x.ToString()).ToArray());
//return string.Join(st, ie);
}
static public void Main() {
Console.SetOut(new System.IO.StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false });
var solver = new Program.Solver();
solver.Solve();
Console.Out.Flush();
}
}
#endregion
#region Ex
namespace Program.IO {
using System.IO;
using System.Text;
using System.Globalization;
public class Printer: StreamWriter {
public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } }
public Printer(Stream stream) : base(stream, new UTF8Encoding(false, true)) { }
}
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) && !isEof); 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 string ScanLine() {
var sb = new StringBuilder();
for (var b = Char(); b != '\n' && b != 0; b = (char)read())
if (b != '\r') sb.Append(b);
return sb.ToString();
}
public long Long() { return isEof ? long.MinValue : long.Parse(Scan()); }
public int Integer() { return isEof ? int.MinValue : int.Parse(Scan()); }
public double Double() { return isEof ? double.NaN : double.Parse(Scan(), CultureInfo.InvariantCulture); }
}
}
#endregion
#region Matrix
public class Matrix {
int row, col;
public Number[] mat;
public Number this[int r, int c] {
get { return mat[r * col + c]; }
set { mat[r * col + c] = value; }
}
public Matrix(int r, int c) {
row = r; col = c;
mat = new Number[row * col];
}
public static Matrix operator +(Matrix l, Matrix r) {
check(l, r);
var ret = new Matrix(l.row, l.col);
for (int i = 0; i < l.row; i++)
for (int j = 0; j < l.col; j++)
ret.mat[i * ret.col + j] = l.mat[i * l.col + j] + r.mat[i * r.col + j];
return ret;
}
public static Matrix operator *(Matrix l, Matrix r) {
checkMul(l, r);
var ret = new Matrix(l.row, r.col);
for (int i = 0; i < l.row; i++)
for (int k = 0; k < l.col; k++)
for (int j = 0; j < r.col; j++)
ret.mat[i * r.col + j] = (ret.mat[i * r.col + j] + l.mat[i * l.col + k] * r.mat[k * r.col + j]);
return ret;
}
public static Matrix Pow(Matrix m, long n) {
var ret = new Matrix(m.row, m.col);
for (int i = 0; i < m.row; i++)
ret.mat[i * m.col + i] = 1;
for (; n > 0; m *= m, n >>= 1)
if ((n & 1) == 1)
ret = ret * m;
return ret;
}
public static Matrix Trans(Matrix m) {
var ret = new Matrix(m.col, m.row);
for (int i = 0; i < m.row; i++)
for (int j = 0; j < m.col; j++)
ret.mat[j * m.col + i] = m.mat[i * m.col + j];
return ret;
}
[System.Diagnostics.Conditional("DEBUG")]
static private void check(Matrix a, Matrix 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(Matrix a, Matrix b) {
if (a.col != b.row)
throw new Exception("row and col have to be same.");
}
public Number[][] Items {
get {
var a = new Number[row][];
for (int i = 0; i < row; i++) {
a[i] = new Number[col];
for (int j = 0; j < col; j++)
a[i][j] = mat[i * col + j];
}
return a;
}
}
public override string ToString() {
return string.Format("{0}*{1}", row, col);
}
}
#endregion
//剰余環
#region ModInt
public struct ModInt {
public static int Mod = (int)1e9 + 7;
public int num;
public ModInt(int n) { num = n; }
public override string ToString() { return num.ToString(); }
public static ModInt operator +(ModInt l, ModInt r) { l.num += r.num; if (l.num >= Mod) l.num -= Mod; return l; }
public static ModInt operator -(ModInt l, ModInt r) { l.num -= r.num; if (l.num < 0) l.num += Mod; return l; }
public static ModInt operator *(ModInt l, ModInt r) { return new ModInt((int)(l.num * (long)r.num % Mod)); }
public static implicit operator ModInt(int n) { n %= Mod; if (n < 0) n += Mod; return new ModInt(n); }
public static implicit operator ModInt(long n) { n %= Mod; if (n < 0) n += Mod; return new ModInt((int)n); }
public static ModInt Pow(ModInt v, long k) { return Pow(v.num, k); }
public static ModInt Pow(int v, long k) {
int ret = 1;
for (k %= Mod - 1; k > 0; k >>= 1, v = (int)(v * (long)v % Mod))
if ((k & 1) == 1) ret = (int)(ret * (long)v % Mod);
return new ModInt(ret);
}
public static ModInt Inverse(ModInt v) { return Pow(v, Mod - 2); }
}
#endregion