結果

問題 No.590 Replacement
ユーザー uwiuwi
提出日時 2017-11-04 00:40:23
言語 Java21
(openjdk 21)
結果
AC  
実行時間 363 ms / 2,000 ms
コード長 5,948 bytes
コンパイル時間 3,747 ms
コンパイル使用メモリ 81,352 KB
実行使用メモリ 56,508 KB
最終ジャッジ日時 2024-05-02 21:02:12
合計ジャッジ時間 14,476 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge4
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 48 ms
36,872 KB
testcase_01 AC 46 ms
37,192 KB
testcase_02 AC 45 ms
37,120 KB
testcase_03 AC 44 ms
36,780 KB
testcase_04 AC 44 ms
37,164 KB
testcase_05 AC 45 ms
36,988 KB
testcase_06 AC 48 ms
36,992 KB
testcase_07 AC 81 ms
39,040 KB
testcase_08 AC 65 ms
38,252 KB
testcase_09 AC 77 ms
39,040 KB
testcase_10 AC 67 ms
38,180 KB
testcase_11 AC 50 ms
37,164 KB
testcase_12 AC 73 ms
39,016 KB
testcase_13 AC 184 ms
47,304 KB
testcase_14 AC 230 ms
48,488 KB
testcase_15 AC 62 ms
37,568 KB
testcase_16 AC 119 ms
41,048 KB
testcase_17 AC 142 ms
42,208 KB
testcase_18 AC 275 ms
50,664 KB
testcase_19 AC 292 ms
52,804 KB
testcase_20 AC 134 ms
42,344 KB
testcase_21 AC 342 ms
52,644 KB
testcase_22 AC 294 ms
49,992 KB
testcase_23 AC 336 ms
54,452 KB
testcase_24 AC 327 ms
54,640 KB
testcase_25 AC 346 ms
55,976 KB
testcase_26 AC 354 ms
56,044 KB
testcase_27 AC 330 ms
52,248 KB
testcase_28 AC 350 ms
54,712 KB
testcase_29 AC 361 ms
54,476 KB
testcase_30 AC 363 ms
54,536 KB
testcase_31 AC 344 ms
52,852 KB
testcase_32 AC 321 ms
52,780 KB
testcase_33 AC 45 ms
37,256 KB
testcase_34 AC 45 ms
36,992 KB
testcase_35 AC 45 ms
37,220 KB
testcase_36 AC 226 ms
48,936 KB
testcase_37 AC 215 ms
50,592 KB
testcase_38 AC 215 ms
50,376 KB
testcase_39 AC 210 ms
50,460 KB
testcase_40 AC 330 ms
54,136 KB
testcase_41 AC 342 ms
53,240 KB
testcase_42 AC 259 ms
54,188 KB
testcase_43 AC 262 ms
53,432 KB
testcase_44 AC 214 ms
56,508 KB
testcase_45 AC 230 ms
50,404 KB
testcase_46 AC 250 ms
49,380 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 contest171104;
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;

public class E {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		int n = ni();
		int[] a = na(n);
		for(int i = 0;i < n;i++)a[i]--;
		a = invf(a);
		int[] b = na(n);
		for(int i = 0;i < n;i++)b[i]--;
		b = invf(b);
		
		int[][] csa = splitIntoCycles(a);
		int[] csaid = new int[n];
		int[] csaind = new int[n];
		for(int i = 0;i < csa.length;i++){
			for(int j = 0;j < csa[i].length;j++){
				csaid[csa[i][j]] = i;
				csaind[csa[i][j]] = j;
			}
		}
		
		int[][] csb = splitIntoCycles(b);
		int[] csbid = new int[n];
		int[] csbind = new int[n];
		for(int i = 0;i < csb.length;i++){
			for(int j = 0;j < csb[i].length;j++){
				csbid[csb[i][j]] = i;
				csbind[csb[i][j]] = j;
			}
		}
		
		int[][] qs = new int[n][];
		for(int i = 0;i < n;i++){
			int g = gcd(csa[csaid[i]].length, csb[csbid[i]].length);
			qs[i] = new int[]{csaid[i], csaind[i], csbid[i], csbind[i], (int)((csaind[i] - csbind[i] + g * 9999999999L) % g), g};
		}
		long ans = 0;
		Arrays.sort(qs, new Comparator<int[]>() {
			public int compare(int[] a, int[] b) {
				if(a[0] != b[0])return a[0] - b[0];
				if(a[2] != b[2])return a[2] - b[2];
				return a[4] - b[4];
			}
		});
		int mod = 1000000007;
		for(int i = 0;i < n;){
			int j = i;
			while(j < n && qs[i][0] == qs[j][0] && qs[i][2] == qs[j][2] && qs[i][4] == qs[j][4])j++;
			
			int g = qs[i][5];
			long p = (long)csa[qs[i][0]].length * csb[qs[i][2]].length / g;
			long[] poss = new long[j-i];
			for(int k = i;k < j;k++){
				poss[k-i] = crt(
						csa[qs[k][0]].length, qs[k][1],
						csb[qs[k][2]].length, qs[k][3] + qs[i][4]);
			}
			Arrays.sort(poss);
			for(int k = 1;k < j-i;k++){
				long ch = poss[k] - poss[k-1];
				ch %= mod;
				ans += (ch-1)*ch/2;
				ans %= mod;
			}
			long ch = poss[0] - poss[j-i-1] + p;
			ch %= mod;
			ans += (ch-1)*ch/2;
			ans %= mod;
			
			i = j;
		}
		out.println(ans);
	}
	
	public static long crt(long p, long m, long q, long n)
	{
		long a = p, b = q;
		long pp = 1, qq = 0;
		while(b > 0){
			long c = a / b;
			long d;
			d = a; a = b; b = d % b;
			d = pp; pp = qq; qq = d - c * qq;
		}
		if((n - m) % a != 0)return -1;
		long mod = p / a * q;
		long ret = (p * pp % mod * ((n - m) / a) + m) % mod;
//		long ret = (mul(mul(p, pp, mod), (n-m)/a, mod)+m)%mod;
		if(ret < 0)ret += mod;
		return ret;
	}

	
	public static int gcd(int a, int b) {
		while (b > 0) {
			int c = a;
			a = b;
			b = c % b;
		}
		return a;
	}
	
	
	static int[] invf(int[] f)
	{
		int n = f.length;
		int[] u = new int[n];
		for(int i = 0;i < n;i++){
			u[f[i]] = i;
		}
		return u;
	}
	
	
	
	public static int[][] splitIntoCycles(int[] f)
	{
		int n = f.length;
		int[][] cycles = new int[n][];
		boolean[] ved = new boolean[n];
		int[] row = new int[n];
		int q = 0;
		for(int i = 0;i < n;i++){
			if(!ved[i]){
				int p = 0;
				for(int cur = i;!ved[cur];cur = f[cur]){
					ved[cur] = true;
					row[p++] = cur;
				}
				cycles[q++] = Arrays.copyOf(row, p);
			}
		}
		return Arrays.copyOf(cycles, q);
	}
	
	
	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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