#275165 (Java21) No.718 行列のできるフィボナッチ数列道場 (1)

提出ソース

結果

問題	No.718 行列のできるフィボナッチ数列道場 (1)
ユーザー	uwi
提出日時	2018-07-27 22:32:31
言語	Java21 (openjdk 21)
結果	AC
実行時間	54 ms / 2,000 ms
コード長	5,894 bytes
コンパイル時間	3,899 ms
コンパイル使用メモリ	86,636 KB
実行使用メモリ	37,212 KB
最終ジャッジ日時	2024-07-05 02:20:56
合計ジャッジ時間	6,075 ms
ジャッジサーバーID （参考情報）	judge5 / judge2

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	50 ms 37,212 KB
testcase_01	AC	50 ms 36,984 KB
testcase_02	AC	50 ms 37,104 KB
testcase_03	AC	50 ms 37,164 KB
testcase_04	AC	50 ms 37,168 KB
testcase_05	AC	50 ms 37,152 KB
testcase_06	AC	50 ms 36,988 KB
testcase_07	AC	54 ms 36,972 KB
testcase_08	AC	51 ms 37,112 KB
testcase_09	AC	50 ms 37,172 KB
testcase_10	AC	49 ms 37,156 KB
testcase_11	AC	48 ms 36,780 KB
testcase_12	AC	49 ms 36,908 KB
testcase_13	AC	49 ms 36,932 KB
testcase_14	AC	50 ms 36,648 KB
testcase_15	AC	49 ms 36,912 KB
testcase_16	AC	53 ms 37,060 KB
testcase_17	AC	53 ms 37,024 KB
testcase_18	AC	51 ms 37,156 KB
testcase_19	AC	53 ms 37,140 KB
testcase_20	AC	50 ms 37,132 KB
testcase_21	AC	50 ms 37,132 KB
testcase_22	AC	51 ms 37,112 KB

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ソースコード

raw source code

package contest180727;
import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.InputMismatchException;

//F2^2+F3^2=F5
//F4^2+F5^2=F9
public class E {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	// 1 1 2 3 5 8 13
	void solve()
	{
		long n = nl();
		int[][] M = {
				{1, 1},
				{1, 0}
		};
		M = pow(M, 4);
		int[][] U = {
				{M[0][0], M[0][1], 0},
				{M[1][0], M[1][1], 0},
				{0, 1, 1}
		};
		if(n % 2 == 0){
			out.println((pow(U, new int[]{0, 1, 0}, n/2+1)[2]+mod-1)%mod);
		}else{
			out.println((pow(U, new int[]{1, 1, 0}, n/2+1)[2])%mod);
		}
	}
	
	
	///////// begin
	public static final int mod = 1000000007;
	public static final long m2 = (long)mod*mod;
	public static final long BIG = 8L*m2;
	
	// A^e*v
	public static int[] pow(int[][] A, int[] v, long e)
	{
		for(int i = 0;i < v.length;i++){
			if(v[i] >= mod)v[i] %= mod;
		}
		int[][] MUL = A;
		for(;e > 0;e>>>=1) {
			if((e&1)==1)v = mul(MUL, v);
			MUL = p2(MUL);
		}
		return v;
	}
	
	// int matrix*int vector
	public static int[] mul(int[][] A, int[] v)
	{
		int m = A.length;
		int n = v.length;
		int[] w = new int[m];
		for(int i = 0;i < m;i++){
			long sum = 0;
			for(int k = 0;k < n;k++){
				sum += (long)A[i][k] * v[k];
				if(sum >= BIG)sum -= BIG;
			}
			w[i] = (int)(sum % mod);
		}
		return w;
	}
	
	// int matrix^2 (be careful about negative value)
	public static int[][] p2(int[][] A)
	{
		int n = A.length;
		int[][] C = new int[n][n];
		for(int i = 0;i < n;i++){
			long[] sum = new long[n];
			for(int k = 0;k < n;k++){
				for(int j = 0;j < n;j++){
					sum[j] += (long)A[i][k] * A[k][j];
					if(sum[j] >= BIG)sum[j] -= BIG;
				}
			}
			for(int j = 0;j < n;j++){
				C[i][j] = (int)(sum[j] % mod);
			}
		}
		return C;
	}
	
	//////////// end
	
	// ret[n]=A^(2^n)
	public static int[][][] generateP2(int[][] A, int n)
	{
		int[][][] ret = new int[n+1][][];
		ret[0] = A;
		for(int i = 1;i <= n;i++)ret[i] = p2(ret[i-1]);
		return ret;
	}
	
	// A[0]^e*v
	// A[n]=A[0]^(2^n)
	public static int[] pow(int[][][] A, int[] v, long e)
	{
		for(int i = 0;e > 0;e>>>=1,i++) {
			if((e&1)==1)v = mul(A[i], v);
		}
		return v;
	}
	
	public static int[][] mul(int[][]... a)
	{
		int[][] base = a[0];
		for(int i = 1;i < a.length;i++){
			base = mul(base, a[i]);
		}
		return base;
	}
	
	// メモ累乗計算セット ここまで
	
	// A^e
	// O(N^3log N)
	public static int[][] pow(int[][] A, long e)
	{
		int[][] MUL = A;
		int n = A.length;
		int[][] C = new int[n][n];
		for(int i = 0;i < n;i++)C[i][i] = 1;
		for(;e > 0;e>>>=1) {
			if((e&1)==1)C = mul(C, MUL);
			MUL = p2(MUL);
		}
		return C;
	}
	
	public static int[][] mul(int[][] A, int[][] B)
	{
		assert A[0].length == B.length;
		int m = A.length;
		int n = A[0].length;
		int o = B[0].length;
		int[][] C = new int[m][o];
		for(int i = 0;i < m;i++){
			long[] sum = new long[o];
			for(int k = 0;k < n;k++){
				for(int j = 0;j < o;j++){
					sum[j] += (long)A[i][k] * B[k][j];
					if(sum[j] >= BIG)sum[j] -= BIG;
				}
			}
			for(int j = 0;j < o;j++){
				C[i][j] = (int)(sum[j] % mod);
			}
		}
		return C;
	}
	
	void run() throws Exception
	{
		is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
		out = new PrintWriter(System.out);
		
		long s = System.currentTimeMillis();
		solve();
		out.flush();
		if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms");
//		Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){
//			@Override
//			public void run() {
//				long s = System.currentTimeMillis();
//				solve();
//				out.flush();
//				if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms");
//			}
//		};
//		t.start();
//		t.join();
	}
	
	public static void main(String[] args) throws Exception { new E().run(); }
	
	private byte[] inbuf = new byte[1024];
	public int lenbuf = 0, ptrbuf = 0;
	
	private int readByte()
	{
		if(lenbuf == -1)throw new InputMismatchException();
		if(ptrbuf >= lenbuf){
			ptrbuf = 0;
			try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); }
			if(lenbuf <= 0)return -1;
		}
		return inbuf[ptrbuf++];
	}
	
	private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); }
	private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; }
	
	private double nd() { return Double.parseDouble(ns()); }
	private char nc() { return (char)skip(); }
	
	private String ns()
	{
		int b = skip();
		StringBuilder sb = new StringBuilder();
		while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ')
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}
	
	private char[] ns(int n)
	{
		char[] buf = new char[n];
		int b = skip(), p = 0;
		while(p < n && !(isSpaceChar(b))){
			buf[p++] = (char)b;
			b = readByte();
		}
		return n == p ? buf : Arrays.copyOf(buf, p);
	}
	
	private int[] na(int n)
	{
		int[] a = new int[n];
		for(int i = 0;i < n;i++)a[i] = ni();
		return a;
	}
	
	private long[] nal(int n)
	{
		long[] a = new long[n];
		for(int i = 0;i < n;i++)a[i] = nl();
		return a;
	}
	
	private char[][] nm(int n, int m) {
		char[][] map = new char[n][];
		for(int i = 0;i < n;i++)map[i] = ns(m);
		return map;
	}
	
	private int[][] nmi(int n, int m) {
		int[][] map = new int[n][];
		for(int i = 0;i < n;i++)map[i] = na(m);
		return map;
	}
	
	private int ni() { return (int)nl(); }
	
	private long nl()
	{
		long num = 0;
		int b;
		boolean minus = false;
		while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
		if(b == '-'){
			minus = true;
			b = readByte();
		}
		
		while(true){
			if(b >= '0' && b <= '9'){
				num = num * 10 + (b - '0');
			}else{
				return minus ? -num : num;
			}
			b = readByte();
		}
	}
	
	private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); }
}

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結果

テストケース

ソースコード