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 393 ms / 2,000 ms
コード長 5,948 bytes
コンパイル時間 4,001 ms
コンパイル使用メモリ 83,808 KB
実行使用メモリ 56,636 KB
最終ジャッジ日時 2024-11-23 15:33:44
合計ジャッジ時間 15,396 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
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
36,508 KB
testcase_01 AC 49 ms
36,972 KB
testcase_02 AC 50 ms
37,060 KB
testcase_03 AC 52 ms
36,736 KB
testcase_04 AC 51 ms
36,576 KB
testcase_05 AC 48 ms
36,964 KB
testcase_06 AC 47 ms
37,232 KB
testcase_07 AC 83 ms
39,104 KB
testcase_08 AC 66 ms
38,408 KB
testcase_09 AC 75 ms
38,912 KB
testcase_10 AC 70 ms
38,484 KB
testcase_11 AC 54 ms
37,320 KB
testcase_12 AC 82 ms
38,936 KB
testcase_13 AC 203 ms
46,180 KB
testcase_14 AC 249 ms
48,140 KB
testcase_15 AC 77 ms
38,072 KB
testcase_16 AC 124 ms
40,956 KB
testcase_17 AC 153 ms
42,072 KB
testcase_18 AC 307 ms
52,388 KB
testcase_19 AC 301 ms
52,540 KB
testcase_20 AC 141 ms
41,832 KB
testcase_21 AC 369 ms
52,484 KB
testcase_22 AC 317 ms
49,140 KB
testcase_23 AC 362 ms
54,480 KB
testcase_24 AC 370 ms
55,384 KB
testcase_25 AC 367 ms
54,316 KB
testcase_26 AC 393 ms
53,088 KB
testcase_27 AC 364 ms
54,716 KB
testcase_28 AC 378 ms
54,540 KB
testcase_29 AC 383 ms
53,240 KB
testcase_30 AC 379 ms
55,616 KB
testcase_31 AC 375 ms
52,856 KB
testcase_32 AC 373 ms
54,056 KB
testcase_33 AC 51 ms
37,100 KB
testcase_34 AC 48 ms
36,972 KB
testcase_35 AC 50 ms
36,780 KB
testcase_36 AC 229 ms
50,468 KB
testcase_37 AC 239 ms
49,764 KB
testcase_38 AC 225 ms
49,244 KB
testcase_39 AC 224 ms
50,300 KB
testcase_40 AC 353 ms
56,636 KB
testcase_41 AC 342 ms
56,568 KB
testcase_42 AC 271 ms
53,556 KB
testcase_43 AC 282 ms
53,784 KB
testcase_44 AC 222 ms
56,028 KB
testcase_45 AC 236 ms
50,284 KB
testcase_46 AC 235 ms
50,652 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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