結果

問題 No.1086 桁和の桁和2
ユーザー uwiuwi
提出日時 2020-06-19 22:00:34
言語 Java21
(openjdk 21)
結果
AC  
実行時間 1,053 ms / 3,000 ms
コード長 5,764 bytes
コンパイル時間 3,734 ms
コンパイル使用メモリ 86,268 KB
実行使用メモリ 58,556 KB
最終ジャッジ日時 2023-09-29 23:44:40
合計ジャッジ時間 21,260 ms
ジャッジサーバーID
（参考情報） 		judge13 / judge15
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
49,332 KB
testcase_01 AC 42 ms
49,260 KB
testcase_02 AC 42 ms
49,268 KB
testcase_03 AC 41 ms
49,280 KB
testcase_04 AC 42 ms
49,312 KB
testcase_05 AC 111 ms
54,620 KB
testcase_06 AC 42 ms
49,320 KB
testcase_07 AC 43 ms
49,308 KB
testcase_08 AC 42 ms
49,304 KB
testcase_09 AC 42 ms
49,264 KB
testcase_10 AC 107 ms
52,232 KB
testcase_11 AC 82 ms
52,148 KB
testcase_12 AC 56 ms
50,644 KB
testcase_13 AC 117 ms
54,624 KB
testcase_14 AC 100 ms
52,476 KB
testcase_15 AC 231 ms
54,644 KB
testcase_16 AC 765 ms
56,472 KB
testcase_17 AC 154 ms
54,616 KB
testcase_18 AC 1,003 ms
58,248 KB
testcase_19 AC 834 ms
56,148 KB
testcase_20 AC 191 ms
54,660 KB
testcase_21 AC 760 ms
55,824 KB
testcase_22 AC 1,004 ms
58,556 KB
testcase_23 AC 679 ms
56,296 KB
testcase_24 AC 483 ms
56,268 KB
testcase_25 AC 872 ms
56,140 KB
testcase_26 AC 736 ms
56,464 KB
testcase_27 AC 583 ms
56,460 KB
testcase_28 AC 472 ms
55,200 KB
testcase_29 AC 481 ms
55,492 KB
testcase_30 AC 1,021 ms
58,316 KB
testcase_31 AC 1,053 ms
58,532 KB
testcase_32 AC 1,018 ms
58,404 KB
testcase_33 AC 1,024 ms
58,296 KB
testcase_34 AC 1,028 ms
58,328 KB
testcase_35 AC 112 ms
54,404 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

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;
	int[][][] A;
	
	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;
			}
		}
		A = generateP2(M, 60);
		
		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 if(pre == 0 && D[i] == 9){
				E[i] = 10;
			}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(Math.min(E[i], 9), R[i]) - ctf(Math.min(E[i], 9), L[i]);
			if(E[i] == 9 || E[i] == 0)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(A, v, r);
		return to[d%9];
	}
	
	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;
	}

	
	///////// 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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