結果

問題 No.563 超高速一人かるた large
コンテスト
ユーザー uwi
提出日時 2017-08-25 23:28:47
言語 Java
(openjdk 23)
結果
AC  
実行時間 495 ms / 3,000 ms
コード長 5,769 bytes
コンパイル時間 4,121 ms
コンパイル使用メモリ 84,400 KB
実行使用メモリ 94,564 KB
最終ジャッジ日時 2024-10-15 16:12:43
合計ジャッジ時間 10,616 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 18
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 contest170825;
import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Comparator;
import java.util.InputMismatchException;

// 4*10^8はやばそうだった
public class F2 {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
//	String INPUT = "12 a b c d e f g h i j k l";
	
	void solve()
	{
		int n = ni();
		char[][] ss = new char[n][];
		for(int i = 0;i < n;i++){
			ss[i] = ns().toCharArray();
		}
		Arrays.sort(ss, new Comparator<char[]>() {
			public int compare(char[] a, char[] b) {
				for(int i = 0;i < a.length && i < b.length;i++){
					if(a[i] != b[i])return a[i] - b[i];
				}
				return a.length - b.length;
			}
		});
		int[] lcps = new int[n-1];
		for(int i = 0;i < n-1;i++){
			lcps[i] = lcp(ss[i], ss[i+1]);
		}
		
		long[] ls = new long[n];
		for(int i = 0;i < n;i++){
			int[] llcps = new int[n];
			int p = 0;
			int all = 999999999;
			for(int j = i-1;j >= 0;j--){
				all = Math.min(all, lcps[j]);
				llcps[p++] = all;
			}
			all = 999999999;
			for(int j = i;j < n-1;j++){
				all = Math.min(all, lcps[j]);
				llcps[p++] = all;
			}
			llcps[p++] = 1;
			Arrays.sort(llcps);
			for(int j = 0;j < n;j++)ls[j] += llcps[j];
		}
		
		int mod = 1000000007;
		for(int j = 0;j < n;j++){
			ls[j] = ls[j] % mod;
		}
		
		long[][] C = new long[2200 + 1][2200 + 1];
		for (int i = 0; i <= 2200; i++) {
			C[i][0] = 1;
			for (int j = 1; j <= i; j++) {
				C[i][j] = C[i - 1][j - 1] + C[i - 1][j];
				if (C[i][j] >= mod)
					C[i][j] -= mod;
			}
		}
		
		long[] ans = new long[n];
		long big = 8L*mod*mod;
		for(int i = n;i >= 1;i--){
//			for(int j = 0;j < n && n-i-j >= 0 && n-j-2 >= 0;j++){
			for(int j = 0;n-i-j >= 0 && n-j-2 >= 0;j++){
//				tr(i, j, C(n-j-2, n-i-j, mod, fif));
//				ans[n-i] += C(n-j-2, n-i-j, mod, fif) * ls[n-1-j];
				ans[n-i] += C[n-j-2][n-i-j] * ls[n-1-j];
				if(ans[n-i] >= big)ans[n-i] -= big;
			}
			if(i == 1){
				ans[n-i] += ls[0];
			}
			ans[n-i] %= mod;
		}
		for(int i = 0;i < n;i++){
			ans[i] = ans[i] * invl((long)C[n-1][i] * n % mod, mod) % mod;
		}
		
		for(int i = 0;i < n-1;i++){
			ans[i+1] += ans[i];
			ans[i+1] %= mod;
		}
		long q = 1;
		for(int i = 0;i < n;i++){
			q = q * (n-i) % mod;
			ans[i] = ans[i] * q % mod;
		}
		for(long an : ans){
			out.println(an);
		}
	}
	
	
	public static long invl(long a, long mod) {
		long b = mod;
		long p = 1, q = 0;
		while (b > 0) {
			long c = a / b;
			long d;
			d = a;
			a = b;
			b = d % b;
			d = p;
			p = q;
			q = d - c * q;
		}
		return p < 0 ? p + mod : p;
	}
	
	int lcp(char[] a, char[] b)
	{
		for(int i = 0;i < a.length && i < b.length;i++){
			if(a[i] != b[i])return i+1;
		}
		return Math.min(a.length, b.length) + 1;
	}
	
	void run() throws Exception
	{
//		int n = 2000, m = 99999;
//		Random gen = new Random();
//		StringBuilder sb = new StringBuilder();
//		sb.append(n + " ");
//		for (int i = 0; i < n; i++) {
//			for(int j = 0;j < 100;j++){
//				sb.append("a");
//			}
//			sb.append("\n");
//		}
//		INPUT = sb.toString();

		
		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 F2().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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