結果
| 問題 |
No.1105 Many Triplets
|
| コンテスト | |
| ユーザー |
 fairy_lettuce
|
| 提出日時 | 2020-07-04 00:33:41 |
| 言語 | C#(csc) (csc 3.9.0) |
| 結果 |
RE
|
| 実行時間 | - |
| コード長 | 11,132 bytes |
| コンパイル時間 | 1,044 ms |
| コンパイル使用メモリ | 118,804 KB |
| 実行使用メモリ | 26,560 KB |
| 最終ジャッジ日時 | 2024-09-17 05:19:51 |
| 合計ジャッジ時間 | 2,523 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge3 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 15 RE * 10 |
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.IO;
using System.Collections.Generic;
using System.Linq;
using System.Numerics;
using System.Runtime.CompilerServices;
using System.Linq.Expressions;
namespace AtCoder.Contest.E
{
static class Program
{
public static void Solve(Scanner cin)
{
long n = cin.ReadLong();
var (a, b, c) = cin.ReadValue<long, long, long>();
var m = new Matrix(3, 3);
for (int i = 0; i < 3; i++)
{
for (int j = 0; j < 3; j++)
{
if (i == j) m[i, j] = 1;
else if ((j - i + 3) % 3 == 1) m[i, j] = -1;
else m[i, j] = 0;
}
}
var vec = new Matrix(3, 1);
vec[0, 0] = a;
vec[0, 1] = b;
vec[0, 2] = c;
var ans = Matrix.Pow(m, n - 1) * vec;
Console.WriteLine(string.Join(" ", ans.value));
}
public static void Main(string[] args)
{
var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
Console.SetOut(sw);
var cin = new Scanner();
Solve(cin);
Console.Out.Flush();
}
public static void YESNO(bool condition)
{
if (condition) Console.WriteLine("YES");
else Console.WriteLine("NO");
}
public static void YesNo(bool condition)
{
if (condition) Console.WriteLine("Yes");
else Console.WriteLine("No");
}
public static void yesno(bool condition)
{
if (condition) Console.WriteLine("yes");
else Console.WriteLine("no");
}
}
class Matrix
{
int row;
int column;
public ModInt[] value;
public Matrix(int r, int c)
{
value = new ModInt[r * c];
row = r;
column = c;
}
public ModInt this[int r, int c]
{
get { return this.value[r * column + c]; }
set { this.value[r * column + c] = value; }
}
public static Matrix operator *(Matrix l, Matrix r)
{
if (l.column != r.row) throw new ArgumentException();
var ret = new Matrix(l.row, r.column);
for (int i = 0; i < l.row; i++)
{
for (int j = 0; j < r.column; j++)
{
for (int k = 0; k < l.column; k++)
{
ret[i, j] += l[i, k] * r[k, j];
}
}
}
return ret;
}
public static Matrix Pow(Matrix x, long n)
{
if (x.column != x.row) throw new ArgumentException();
var ret = new Matrix(x.column, x.column);
for (int i = 0; i < x.column; i++)
{
ret[i, i] = 1;
}
for (int i = 1; i <= n; i *= 2, x *= x)
{
if (n / i % 2 == 1) ret *= x;
}
return ret;
}
}
public struct ModInt : IComparable<ModInt>, IEquatable<ModInt>
{
public static long MOD = 1000000007;
private readonly long num;
public ModInt(long n) { num = n; }
public override string ToString() => num.ToString();
public static ModInt operator +(ModInt l, ModInt r)
{
long x = l.num + r.num;
if (x >= MOD) x -= MOD;
return new ModInt(x);
}
public static ModInt operator -(ModInt l, ModInt r)
{
long x = l.num - r.num;
if (x < 0) x += MOD;
return new ModInt(x);
}
public static ModInt operator *(ModInt l, ModInt r) => new ModInt((l.num * r.num) % MOD);
public static ModInt operator /(ModInt l, ModInt r) => l * r.Inverse();
public static ModInt operator ++(ModInt x)
{
var tmp = x + new ModInt(1);
return tmp;
}
public static ModInt operator --(ModInt x)
{
var tmp = x - new ModInt(1);
return tmp;
}
public static bool operator >(ModInt l, ModInt r) => l.CompareTo(r) > 0;
public static bool operator <(ModInt l, ModInt r) => l.CompareTo(r) < 0;
public static bool operator >=(ModInt l, ModInt r) => l.CompareTo(r) >= 0;
public static bool operator <=(ModInt l, ModInt r) => l.CompareTo(r) <= 0;
public static bool operator ==(ModInt l, ModInt r) => l.Equals(r);
public static bool operator !=(ModInt l, ModInt r) => !l.Equals(r);
public static implicit operator long(ModInt x) => x.num;
public static implicit operator ModInt(long n)
{
n %= MOD;
if (n < 0) n += MOD;
return new ModInt(n);
}
public ModInt Inverse() => Inverse(this, MOD);
public static ModInt Inverse(ModInt x) => Inverse(x.num, MOD);
public static long Inverse(long x, long m)
{
if (x % m == 0) throw new DivideByZeroException();
long a = x, b = m, u = 1, v = 0;
while (b > 0)
{
long t = a / b;
a -= t * b;
long p = a; a = b; b = p; // swap(a, b);
u -= t * v;
p = u; u = v; v = p; // swap(u, v);
}
u %= m;
if (u < 0) u += m;
return u;
}
public static ModInt Pow(long x, long n)
{
long now = 1;
for (n %= MOD - 1; n > 0; n /= 2, x = x * x % MOD)
{
if (n % 2 == 1) now = now * x % MOD;
}
return new ModInt(now);
}
public int CompareTo(ModInt x)
{
if (num == x.num) return 0;
if (num > x.num) return 1;
return -1;
}
public bool Equals(ModInt x) => num == x.num;
public override bool Equals(object obj) => obj is ModInt m && num == m.num;
public override int GetHashCode()
{
return HashCode.Combine(num);
}
}
class Scanner
{
string[] s;
int i;
char[] separator = new char[] { ' ' };
public Scanner()
{
s = new string[0];
i = 0;
}
public string Read() => ReadString();
public string ReadString()
{
if (i < s.Length) return s[i++];
string st = Console.ReadLine();
while (st == "") st = Console.ReadLine();
s = st.Split(separator, StringSplitOptions.RemoveEmptyEntries);
if (s.Length == 0) return ReadString();
i = 0;
return s[i++];
}
public string[] ReadStringArray(int N)
{
string[] Array = new string[N];
for (int i = 0; i < N; i++)
{
Array[i] = ReadString();
}
return Array;
}
public int ReadInt()
{
return int.Parse(ReadString());
}
public int[] ReadIntArray(int N, int add = 0)
{
int[] Array = new int[N];
for (int i = 0; i < N; i++)
{
Array[i] = ReadInt() + add;
}
return Array;
}
public long ReadLong()
{
return long.Parse(ReadString());
}
public long[] ReadLongArray(int N, long add = 0)
{
long[] Array = new long[N];
for (int i = 0; i < N; i++)
{
Array[i] = ReadLong() + add;
}
return Array;
}
public double ReadDouble()
{
return double.Parse(ReadString());
}
public double[] ReadDoubleArray(int N, double add = 0)
{
double[] Array = new double[N];
for (int i = 0; i < N; i++)
{
Array[i] = ReadDouble() + add;
}
return Array;
}
public T1 ReadValue<T1>() => (T1)Convert.ChangeType(ReadString(), typeof(T1));
public (T1, T2) ReadValue<T1, T2>()
{
var inputs = ReadStringArray(2);
var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
return (v1, v2);
}
public (T1, T2, T3) ReadValue<T1, T2, T3>()
{
var inputs = ReadStringArray(3);
var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
return (v1, v2, v3);
}
public (T1, T2, T3, T4) ReadValue<T1, T2, T3, T4>()
{
var inputs = ReadStringArray(4);
var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
return (v1, v2, v3, v4);
}
public (T1, T2, T3, T4, T5) ReadValue<T1, T2, T3, T4, T5>()
{
var inputs = ReadStringArray(5);
var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5));
return (v1, v2, v3, v4, v5);
}
public (T1, T2, T3, T4, T5, T6) ReadValue<T1, T2, T3, T4, T5, T6>()
{
var inputs = ReadStringArray(6);
var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5));
var v6 = (T6)Convert.ChangeType(inputs[5], typeof(T6));
return (v1, v2, v3, v4, v5, v6);
}
public (T1, T2, T3, T4, T5, T6, T7) ReadValue<T1, T2, T3, T4, T5, T6, T7>()
{
var inputs = ReadStringArray(7);
var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5));
var v6 = (T6)Convert.ChangeType(inputs[5], typeof(T6));
var v7 = (T7)Convert.ChangeType(inputs[6], typeof(T7));
return (v1, v2, v3, v4, v5, v6, v7);
}
public T1[] ReadValueArray<T1>(int N)
{
var v1 = new T1[N];
for (int i = 0; i < N; i++)
{
v1[i] = ReadValue<T1>();
}
return v1;
}
public (T1[], T2[]) ReadValueArray<T1, T2>(int N)
{
var (v1, v2) = (new T1[N], new T2[N]);
for (int i = 0; i < N; i++)
{
var (t1, t2) = ReadValue<T1, T2>();
v1[i] = t1;
v2[i] = t2;
}
return (v1, v2);
}
public (T1[], T2[], T3[]) ReadValueArray<T1, T2, T3>(int N)
{
var (v1, v2, v3) = (new T1[N], new T2[N], new T3[N]);
for (int i = 0; i < N; i++)
{
var (t1, t2, t3) = ReadValue<T1, T2, T3>();
v1[i] = t1;
v2[i] = t2;
v3[i] = t3;
}
return (v1, v2, v3);
}
public (T1[], T2[], T3[], T4[]) ReadValueArray<T1, T2, T3, T4>(int N)
{
var (v1, v2, v3, v4) = (new T1[N], new T2[N], new T3[N], new T4[N]);
for (int i = 0; i < N; i++)
{
var (t1, t2, t3, t4) = ReadValue<T1, T2, T3, T4>();
v1[i] = t1;
v2[i] = t2;
v3[i] = t3;
v4[i] = t4;
}
return (v1, v2, v3, v4);
}
public (T1[], T2[], T3[], T4[], T5[]) ReadValueArray<T1, T2, T3, T4, T5>(int N)
{
var (v1, v2, v3, v4, v5) = (new T1[N], new T2[N], new T3[N], new T4[N], new T5[N]);
for (int i = 0; i < N; i++)
{
var (t1, t2, t3, t4, t5) = ReadValue<T1, T2, T3, T4, T5>();
v1[i] = t1;
v2[i] = t2;
v3[i] = t3;
v4[i] = t4;
v5[i] = t5;
}
return (v1, v2, v3, v4, v5);
}
public (T1[], T2[], T3[], T4[], T5[], T6[]) ReadValueArray<T1, T2, T3, T4, T5, T6>(int N)
{
var (v1, v2, v3, v4, v5, v6) = (new T1[N], new T2[N], new T3[N], new T4[N], new T5[N], new T6[N]);
for (int i = 0; i < N; i++)
{
var (t1, t2, t3, t4, t5, t6) = ReadValue<T1, T2, T3, T4, T5, T6>();
v1[i] = t1;
v2[i] = t2;
v3[i] = t3;
v4[i] = t4;
v5[i] = t5;
v6[i] = t6;
}
return (v1, v2, v3, v4, v5, v6);
}
public (T1[], T2[], T3[], T4[], T5[], T6[], T7[]) ReadValueArray<T1, T2, T3, T4, T5, T6, T7>(int N)
{
var (v1, v2, v3, v4, v5, v6, v7) = (new T1[N], new T2[N], new T3[N], new T4[N], new T5[N], new T6[N], new T7[N]);
for (int i = 0; i < N; i++)
{
var (t1, t2, t3, t4, t5, t6, t7) = ReadValue<T1, T2, T3, T4, T5, T6, T7>();
v1[i] = t1;
v2[i] = t2;
v3[i] = t3;
v4[i] = t4;
v5[i] = t5;
v6[i] = t6;
v7[i] = t7;
}
return (v1, v2, v3, v4, v5, v6, v7);
}
}
}