結果
| 問題 | No.613 Solitude by the window |
| ユーザー |
 紙ぺーぱー
|
| 提出日時 | 2017-12-13 13:46:15 |
| 言語 | C#(csc) (csc 3.9.0) |
| 結果 |
AC
|
| 実行時間 | 105 ms / 2,000 ms |
| コード長 | 9,243 bytes |
| コンパイル時間 | 1,091 ms |
| コンパイル使用メモリ | 123,184 KB |
| 実行使用メモリ | 37,800 KB |
| 最終ジャッジ日時 | 2024-12-14 09:58:43 |
| 合計ジャッジ時間 | 3,964 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge4 |
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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 | 33 ms
26,600 KB |
| testcase_01 | AC | 32 ms
28,532 KB |
| testcase_02 | AC | 93 ms
33,584 KB |
| testcase_03 | AC | 76 ms
33,692 KB |
| testcase_04 | AC | 94 ms
33,040 KB |
| testcase_05 | AC | 74 ms
31,624 KB |
| testcase_06 | AC | 88 ms
33,664 KB |
| testcase_07 | AC | 80 ms
29,600 KB |
| testcase_08 | AC | 104 ms
35,504 KB |
| testcase_09 | AC | 79 ms
33,792 KB |
| testcase_10 | AC | 82 ms
31,844 KB |
| testcase_11 | AC | 94 ms
35,892 KB |
| testcase_12 | AC | 105 ms
35,504 KB |
| testcase_13 | AC | 97 ms
35,756 KB |
| testcase_14 | AC | 93 ms
33,712 KB |
| testcase_15 | AC | 93 ms
35,904 KB |
| testcase_16 | AC | 93 ms
37,800 KB |
| testcase_17 | AC | 32 ms
28,388 KB |
| testcase_18 | AC | 32 ms
26,496 KB |
| testcase_19 | AC | 35 ms
26,608 KB |
| testcase_20 | AC | 32 ms
26,160 KB |
| testcase_21 | AC | 95 ms
33,844 KB |
| testcase_22 | AC | 85 ms
31,680 KB |
| testcase_23 | AC | 85 ms
33,464 KB |
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.Collections.Generic;
using System.Linq;
using Debug = System.Diagnostics.Debug;
//using System.Numerics;
//using static System.Math;
using Number = ModInt;
namespace Program {
public class Solver {
public void Solve() {
long n = rl;
ModInt.Mod = ri;
//if (ModInt.Mod == 2) { Console.WriteLine(0); return; }
//var primes = new List<int>();
//MathEx.Sieve(100000, primes);
//foreach (var x in primes)
{
//ModInt.Mod = x;
var mat = new Matrix(2, 2);
mat[0, 0] = 4; mat[0, 1] = -1;
mat[1, 0] = 1;
var E = new Matrix(2, 2); E[0, 0] = E[1, 1] = 1;
var nmod = MathEx.BabyStepGiantStep(mat, E);
//Debug.WriteLine(nmod);
Swap(ref nmod, ref ModInt.Mod);
var k = ModInt.Pow(2, n).num;
Swap(ref nmod, ref ModInt.Mod);
var res = Matrix.Pow(mat, k);
var ans = (res[1, 0].num * 4 + res[1, 1].num * 2) - 2;
Console.WriteLine((ans + ModInt.Mod) % ModInt.Mod);
dbg(Matrix.Pow(mat, nmod));
}
}
void dbg(Matrix m) {
if (m[0, 0].num != 1) throw new Exception();
if (m[0, 1].num != 0) throw new Exception();
if (m[1, 0].num != 0) throw new Exception();
if (m[1, 1].num != 1) throw new Exception();
}
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.Globalization;
using System.IO;
using System.Text;
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 ModNumber
public partial struct ModInt {
public static long Mod = (long)1e9 + 7;
public long num;
public ModInt(long n) : this() { num = n % Mod; if (num < 0) num += Mod; }
public override string ToString() { return num.ToString(); }
public static ModInt operator +(ModInt l, ModInt r) { var n = l.num + r.num; if (n >= Mod) n -= Mod; return new ModInt() { num = n }; }
public static ModInt operator -(ModInt l, ModInt r) { var n = l.num + Mod - r.num; if (n >= Mod) n -= Mod; return new ModInt() { num = n }; }
public static ModInt operator *(ModInt l, ModInt r) { return new ModInt(l.num * r.num); }
public static implicit operator ModInt(long n) { return new ModInt(n); }
public static ModInt Pow(ModInt v, long k) {
ModInt ret = 1;
var n = k;
for (; n > 0; n >>= 1, v *= v) {
if ((n & 1) == 1)
ret = ret * v;
}
return ret;
}
}
#endregion
struct cmp: IComparer<Number[]> {
public int Compare(Number[] x, Number[] y) {
for (int i = 0; i < x.Length; i++)
if (x[i].num < y[i].num) return -1;
else if (x[i].num > y[i].num) return 1;
return 0;
}
}
#region SortedMap<K,V>
public class SortedMap<K, V>: SortedDictionary<K, V> {
public SortedMap() {
}
public SortedMap(IComparer<K> cmp) : base(cmp) { }
new public V this[K i] {
get {
V v;
return TryGetValue(i, out v) ? v : base[i] = default(V);
}
set { base[i] = value; }
}
}
#endregion
#region BabyStepGiantStep
public partial class MathEx {
static public long BabyStepGiantStep(Matrix x, Matrix y) {
var H = (long)Math.Sqrt(ModInt.Mod) + 1;
var baby = new Number[H][];
var dic = new SortedMap<Number[], int>(default(cmp));
var xby = y;
for (long b = 0; b < H; b++) {
baby[b] = xby.mat.ToArray();
xby = x * xby;
}
for (int i = 0; i < H; i++)
dic[baby[i]] = i;
var xH = Matrix.Pow(x, H);
var xaH = xH;
for (long a = 1; a <= H; a++) {
int res;
if (dic.TryGetValue(xaH.mat, out res))
return a * H - res;
xaH *= xH;
}
return -1;
}
}
#endregion