#499083 (Java21) No.1086 桁和の桁和2

提出ソース

結果

問題	No.1086 桁和の桁和2
ユーザー	uwi
提出日時	2020-06-19 21:54:15
言語	Java21 (openjdk 21)
結果	WA
実行時間	-
コード長	5,124 bytes
コンパイル時間	3,710 ms
コンパイル使用メモリ	77,124 KB
実行使用メモリ	56,012 KB
最終ジャッジ日時	2023-09-16 14:03:30
合計ジャッジ時間	13,474 ms
ジャッジサーバーID （参考情報）	judge12 / judge13

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	42 ms 49,088 KB
testcase_01	AC	46 ms 49,068 KB
testcase_02	WA	-
testcase_03	AC	42 ms 49,056 KB
testcase_04	WA	-
testcase_05	AC	118 ms 54,360 KB
testcase_06	WA	-
testcase_07	WA	-
testcase_08	WA	-
testcase_09	AC	43 ms 49,064 KB
testcase_10	AC	103 ms 52,072 KB
testcase_11	AC	80 ms 51,820 KB
testcase_12	AC	57 ms 50,312 KB
testcase_13	AC	104 ms 54,308 KB
testcase_14	AC	100 ms 52,568 KB
testcase_15	TLE	-
testcase_16	TLE	-
testcase_17	--	-
testcase_18	--	-
testcase_19	--	-
testcase_20	--	-
testcase_21	--	-
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	--	-

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ソースコード

raw source code

package contest200619;
import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.InputMismatchException;

public class F {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	int[][]  M;
	
	void solve()
	{
		int n = ni();
		long[] L = new long[n];
		long[] R = new long[n];
		for(int i = 0;i < n;i++)L[i] = nl();
		for(int i = 0;i < n;i++)R[i] = nl();
		int[] D = na(n);
		
		M = new int[9][9];
		for(int i = 0;i < 9;i++){
			for(int j = 0;j < 9;j++){
				M[i][j] = i == j ? 2 : 1;
			}
		}
		
		int[] E = new int[n];
		int pre = 0;
		for(int i = 0;i < n;i++){
			if(pre == 0 && D[i] == 0){
				E[i] = 0;
			}else if(D[i] == 0){
				out.println(0);
				return;
			}else{
				E[i] = (D[i] - pre + 9) % 9;
				if(E[i] == 0)E[i] = 9;
			}
			
			pre = D[i];
		}
		
		long ans = 1;
		for(int i = 0;i < n;i++){
			long v = ctf(E[i], R[i]) - ctf(E[i], L[i]);
			if(E[i] == 9)v++;
			ans = ans * v % mod;
		}
		if(ans < 0)ans += mod;
		out.println(ans);
	}
	
	// f(x)=dとなるxの個数 < 10^r
	long ctf(int d, long r)
	{
		if(d == 0)return 1;
		int[] v = new int[9];
		v[0] = 1;
		int[] to = pow(M, v, r);
		return to[d%9];
	}
	
	///////// 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

	
	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 F().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