結果

問題 No.1411 Hundreds of Conditions Sequences
ユーザー uwiuwi
提出日時 2021-02-27 01:54:28
言語 Java21
(openjdk 21)
結果
AC  
実行時間 473 ms / 2,000 ms
コード長 13,500 bytes
コンパイル時間 4,921 ms
コンパイル使用メモリ 92,896 KB
実行使用メモリ 56,692 KB
最終ジャッジ日時 2024-10-02 16:51:35
合計ジャッジ時間 32,725 ms
ジャッジサーバーID
(参考情報)
judge1 / judge5
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 219 ms
51,528 KB
testcase_01 AC 213 ms
51,324 KB
testcase_02 AC 213 ms
51,500 KB
testcase_03 AC 217 ms
51,560 KB
testcase_04 AC 201 ms
51,456 KB
testcase_05 AC 207 ms
51,276 KB
testcase_06 AC 208 ms
51,304 KB
testcase_07 AC 221 ms
51,668 KB
testcase_08 AC 221 ms
51,504 KB
testcase_09 AC 226 ms
51,428 KB
testcase_10 AC 203 ms
51,412 KB
testcase_11 AC 217 ms
51,372 KB
testcase_12 AC 398 ms
55,888 KB
testcase_13 AC 407 ms
53,744 KB
testcase_14 AC 346 ms
55,956 KB
testcase_15 AC 414 ms
55,668 KB
testcase_16 AC 232 ms
52,316 KB
testcase_17 AC 385 ms
55,828 KB
testcase_18 AC 450 ms
56,384 KB
testcase_19 AC 437 ms
55,924 KB
testcase_20 AC 369 ms
55,524 KB
testcase_21 AC 439 ms
54,612 KB
testcase_22 AC 365 ms
55,932 KB
testcase_23 AC 429 ms
56,148 KB
testcase_24 AC 214 ms
51,680 KB
testcase_25 AC 398 ms
55,956 KB
testcase_26 AC 398 ms
56,096 KB
testcase_27 AC 363 ms
55,968 KB
testcase_28 AC 417 ms
56,032 KB
testcase_29 AC 334 ms
55,200 KB
testcase_30 AC 389 ms
55,920 KB
testcase_31 AC 350 ms
53,092 KB
testcase_32 AC 451 ms
56,500 KB
testcase_33 AC 434 ms
56,160 KB
testcase_34 AC 446 ms
54,616 KB
testcase_35 AC 440 ms
54,356 KB
testcase_36 AC 442 ms
56,272 KB
testcase_37 AC 437 ms
56,232 KB
testcase_38 AC 416 ms
54,044 KB
testcase_39 AC 459 ms
56,140 KB
testcase_40 AC 426 ms
56,116 KB
testcase_41 AC 410 ms
56,232 KB
testcase_42 AC 416 ms
56,400 KB
testcase_43 AC 452 ms
56,268 KB
testcase_44 AC 417 ms
56,328 KB
testcase_45 AC 436 ms
54,608 KB
testcase_46 AC 447 ms
56,320 KB
testcase_47 AC 420 ms
54,360 KB
testcase_48 AC 436 ms
56,292 KB
testcase_49 AC 420 ms
54,224 KB
testcase_50 AC 452 ms
56,060 KB
testcase_51 AC 473 ms
56,484 KB
testcase_52 AC 425 ms
54,156 KB
testcase_53 AC 440 ms
56,312 KB
testcase_54 AC 428 ms
54,516 KB
testcase_55 AC 430 ms
55,836 KB
testcase_56 AC 401 ms
56,268 KB
testcase_57 AC 422 ms
56,604 KB
testcase_58 AC 433 ms
56,388 KB
testcase_59 AC 424 ms
54,260 KB
testcase_60 AC 440 ms
56,592 KB
testcase_61 AC 422 ms
56,064 KB
testcase_62 AC 315 ms
56,148 KB
testcase_63 AC 428 ms
56,692 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 contest210226;

import java.io.*;
import java.util.ArrayDeque;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.Queue;

public class F4 {
	InputStream is;
	FastWriter out;

	String INPUT = "";

	public static int gcd(int a, int b) {
		while (b > 0) {
			int c = a;
			a = b;
			b = c % b;
		}
		return a;
	}


	public void solve()
	{
		int n = ni();
		int[] a = na(n);

		final int mod = 1000000007;
		int[] lpf = enumLowestPrimeFactors(1000000);

		int[] fs = new int[1000001];
		for(int i = 0;i < n;i++){
			int v = a[i];
			for(int d : enumDivisorsFast(v, lpf)){
				fs[d]++;
			}
		}

		for(int i = 1;i <= 1000000;i++){
			fs[i] = Math.max(fs[i]-1, 0);
		}

		int[] gs = Arrays.copyOf(fs, fs.length);
		for(int i = 1000000;i >= 1;i--){
			for(int j = i*2;j <= 1000000;j+=i){
				gs[i] -= gs[j];
			}
		}

		long prod = 1;
		for(int i = 1;i <= 1000000;i++){
			if(gs[i] > 0) {
				prod = prod * pow(i, gs[i], mod) % mod;
			}else{
				prod = prod * invl(pow(i, -gs[i], mod), mod) % mod;
			}
		}

		long all = 1;
		for(int v : a)all = all * v % mod;
		long iprod = invl(prod, mod);

		for(int i = 0;i < n;i++){
			long ans = all*invl(a[i], mod) % mod;
			int v = a[i];
			int[][] f = factorFast(v, lpf);
			int g = 1;
			for(int[] u : f){
				int P = u[0];
				int Q = P;
				for(int z = 1;z <= u[1] && fs[Q] > 0;z++, g = g * P, Q *= P);
			}
			ans = ans * (mod + 1 - g * iprod % mod) % mod;
			out.println(ans);
		}
	}



	public static int[][] factorFast(int n, int[] lpf)
	{
		int[][] f = new int[9][];
		int q = 0;
		while(lpf[n] > 0){
			int p = lpf[n];
			if(q == 0 || p != f[q-1][0]){
				f[q++] = new int[]{p, 1};
			}else{
				f[q-1][1]++;
			}
			n /= p;
		}
		if(n > 1){
			// big prime
			return new int[][]{{n, 1}};
		}
		return Arrays.copyOf(f, q);
	}


	public static long pow(long a, long n, long mod) {
		//		a %= mod;
		long ret = 1;
		int x = 63 - Long.numberOfLeadingZeros(n);
		for (; x >= 0; x--) {
			ret = ret * ret % mod;
			if (n << 63 - x < 0) ret = ret * a % mod;
		}
		return ret;
	}


	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;
	}


	public static int[] enumMobiusByLPF(int n, int[] lpf)
	{
		int[] mob = new int[n+1];
		mob[1] = 1;
		for(int i = 2;i <= n;i++){
			int j = i/lpf[i];
			if(lpf[j] == lpf[i]){
				//				mob[i] = 0;
			}else{
				mob[i] = -mob[j];
			}
		}
		return mob;
	}


	public static int[] enumDivisorsFast(int n, int[] lpf)
	{
		int[] divs = {1};
		while(lpf[n] > 0){
			int p = lpf[n];
			int e = 0;
			for(;p == lpf[n];e++, n /= p);
			int olen = divs.length;
			divs = Arrays.copyOf(divs, olen*(e+1));
			for(int i = olen;i < divs.length;i++)divs[i] = divs[i-olen] * p;
		}
		return divs;
	}


	public static int[] enumLowestPrimeFactors(int n)
	{
		int tot = 0;
		int[] lpf = new int[n+1];
		int u = n+32;
		double lu = Math.log(u);
		int[] primes = new int[(int)(u/lu+u/lu/lu*1.5)];
		for(int i = 2;i <= n;i++)lpf[i] = i;
		for(int p = 2;p <= n;p++){
			if(lpf[p] == p)primes[tot++] = p;
			int tmp;
			for(int i = 0;i < tot && primes[i] <= lpf[p] && (tmp = primes[i]*p) <= n;i++){
				lpf[tmp] = primes[i];
			}
		}
		return lpf;
	}


	public static void main(String[] args) {
		new F4().run();
	}

	public void run()
	{
		long S = System.currentTimeMillis();
		is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
		out = new FastWriter(System.out);

		solve();
		out.flush();
		long G = System.currentTimeMillis();
		tr(G-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();
	}

	private boolean eof()
	{
		if(lenbuf == -1)return true;
		int lptr = ptrbuf;
		while(lptr < lenbuf)if(!isSpaceChar(inbuf[lptr++]))return false;

		try {
			is.mark(1000);
			while(true){
				int b = is.read();
				if(b == -1){
					is.reset();
					return true;
				}else if(!isSpaceChar(b)){
					is.reset();
					return false;
				}
			}
		} catch (IOException e) {
			return true;
		}
	}

	private final 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 boolean isSpaceChar(int c) { return !(c >= 32 && 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))){
			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 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[] 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 int ni()
	{
		int num = 0, 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 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();
		}
	}

	public static class FastWriter
	{
		private static final int BUF_SIZE = 1<<13;
		private final byte[] buf = new byte[BUF_SIZE];
		private final OutputStream out;
		private int ptr = 0;

		private FastWriter(){out = null;}

		public FastWriter(OutputStream os)
		{
			this.out = os;
		}

		public FastWriter(String path)
		{
			try {
				this.out = new FileOutputStream(path);
			} catch (FileNotFoundException e) {
				throw new RuntimeException("FastWriter");
			}
		}

		public FastWriter write(byte b)
		{
			buf[ptr++] = b;
			if(ptr == BUF_SIZE)innerflush();
			return this;
		}

		public FastWriter write(char c)
		{
			return write((byte)c);
		}

		public FastWriter write(char[] s)
		{
			for(char c : s){
				buf[ptr++] = (byte)c;
				if(ptr == BUF_SIZE)innerflush();
			}
			return this;
		}

		public FastWriter write(String s)
		{
			s.chars().forEach(c -> {
				buf[ptr++] = (byte)c;
				if(ptr == BUF_SIZE)innerflush();
			});
			return this;
		}

		private static int countDigits(int l) {
			if (l >= 1000000000) return 10;
			if (l >= 100000000) return 9;
			if (l >= 10000000) return 8;
			if (l >= 1000000) return 7;
			if (l >= 100000) return 6;
			if (l >= 10000) return 5;
			if (l >= 1000) return 4;
			if (l >= 100) return 3;
			if (l >= 10) return 2;
			return 1;
		}

		public FastWriter write(int x)
		{
			if(x == Integer.MIN_VALUE){
				return write((long)x);
			}
			if(ptr + 12 >= BUF_SIZE)innerflush();
			if(x < 0){
				write((byte)'-');
				x = -x;
			}
			int d = countDigits(x);
			for(int i = ptr + d - 1;i >= ptr;i--){
				buf[i] = (byte)('0'+x%10);
				x /= 10;
			}
			ptr += d;
			return this;
		}

		private static int countDigits(long l) {
			if (l >= 1000000000000000000L) return 19;
			if (l >= 100000000000000000L) return 18;
			if (l >= 10000000000000000L) return 17;
			if (l >= 1000000000000000L) return 16;
			if (l >= 100000000000000L) return 15;
			if (l >= 10000000000000L) return 14;
			if (l >= 1000000000000L) return 13;
			if (l >= 100000000000L) return 12;
			if (l >= 10000000000L) return 11;
			if (l >= 1000000000L) return 10;
			if (l >= 100000000L) return 9;
			if (l >= 10000000L) return 8;
			if (l >= 1000000L) return 7;
			if (l >= 100000L) return 6;
			if (l >= 10000L) return 5;
			if (l >= 1000L) return 4;
			if (l >= 100L) return 3;
			if (l >= 10L) return 2;
			return 1;
		}

		public FastWriter write(long x)
		{
			if(x == Long.MIN_VALUE){
				return write("" + x);
			}
			if(ptr + 21 >= BUF_SIZE)innerflush();
			if(x < 0){
				write((byte)'-');
				x = -x;
			}
			int d = countDigits(x);
			for(int i = ptr + d - 1;i >= ptr;i--){
				buf[i] = (byte)('0'+x%10);
				x /= 10;
			}
			ptr += d;
			return this;
		}

		public FastWriter write(double x, int precision)
		{
			if(x < 0){
				write('-');
				x = -x;
			}
			x += Math.pow(10, -precision)/2;
			//		if(x < 0){ x = 0; }
			write((long)x).write(".");
			x -= (long)x;
			for(int i = 0;i < precision;i++){
				x *= 10;
				write((char)('0'+(int)x));
				x -= (int)x;
			}
			return this;
		}

		public FastWriter writeln(char c){
			return write(c).writeln();
		}

		public FastWriter writeln(int x){
			return write(x).writeln();
		}

		public FastWriter writeln(long x){
			return write(x).writeln();
		}

		public FastWriter writeln(double x, int precision){
			return write(x, precision).writeln();
		}

		public FastWriter write(int... xs)
		{
			boolean first = true;
			for(int x : xs) {
				if (!first) write(' ');
				first = false;
				write(x);
			}
			return this;
		}

		public FastWriter write(long... xs)
		{
			boolean first = true;
			for(long x : xs) {
				if (!first) write(' ');
				first = false;
				write(x);
			}
			return this;
		}

		public FastWriter writeln()
		{
			return write((byte)'\n');
		}

		public FastWriter writeln(int... xs)
		{
			return write(xs).writeln();
		}

		public FastWriter writeln(long... xs)
		{
			return write(xs).writeln();
		}

		public FastWriter writeln(char[] line)
		{
			return write(line).writeln();
		}

		public FastWriter writeln(char[]... map)
		{
			for(char[] line : map)write(line).writeln();
			return this;
		}

		public FastWriter writeln(String s)
		{
			return write(s).writeln();
		}

		private void innerflush()
		{
			try {
				out.write(buf, 0, ptr);
				ptr = 0;
			} catch (IOException e) {
				throw new RuntimeException("innerflush");
			}
		}

		public void flush()
		{
			innerflush();
			try {
				out.flush();
			} catch (IOException e) {
				throw new RuntimeException("flush");
			}
		}

		public FastWriter print(byte b) { return write(b); }
		public FastWriter print(char c) { return write(c); }
		public FastWriter print(char[] s) { return write(s); }
		public FastWriter print(String s) { return write(s); }
		public FastWriter print(int x) { return write(x); }
		public FastWriter print(long x) { return write(x); }
		public FastWriter print(double x, int precision) { return write(x, precision); }
		public FastWriter println(char c){ return writeln(c); }
		public FastWriter println(int x){ return writeln(x); }
		public FastWriter println(long x){ return writeln(x); }
		public FastWriter println(double x, int precision){ return writeln(x, precision); }
		public FastWriter print(int... xs) { return write(xs); }
		public FastWriter print(long... xs) { return write(xs); }
		public FastWriter println(int... xs) { return writeln(xs); }
		public FastWriter println(long... xs) { return writeln(xs); }
		public FastWriter println(char[] line) { return writeln(line); }
		public FastWriter println(char[]... map) { return writeln(map); }
		public FastWriter println(String s) { return writeln(s); }
		public FastWriter println() { return writeln(); }
	}

	public static void trnz(int... o)
	{
		for(int i = 0;i < o.length;i++)if(o[i] != 0)System.out.print(i+":"+o[i]+" ");
		System.out.println();
	}

	// print ids which are 1
	public static void trt(long... o)
	{
		Queue<Integer> stands = new ArrayDeque<>();
		for(int i = 0;i < o.length;i++){
			for(long x = o[i];x != 0;x &= x-1)stands.add(i<<6|Long.numberOfTrailingZeros(x));
		}
		System.out.println(stands);
	}

	public static void tf(boolean... r)
	{
		for(boolean x : r)System.out.print(x?'#':'.');
		System.out.println();
	}

	public static void tf(boolean[]... b)
	{
		for(boolean[] r : b) {
			for(boolean x : r)System.out.print(x?'#':'.');
			System.out.println();
		}
		System.out.println();
	}

	public void tf(long[]... b)
	{
		if(INPUT.length() != 0) {
			for (long[] r : b) {
				for (long x : r) {
					for (int i = 0; i < 64; i++) {
						System.out.print(x << ~i < 0 ? '#' : '.');
					}
				}
				System.out.println();
			}
			System.out.println();
		}
	}

	public void tf(long... b)
	{
		if(INPUT.length() != 0) {
			for (long x : b) {
				for (int i = 0; i < 64; i++) {
					System.out.print(x << ~i < 0 ? '#' : '.');
				}
			}
			System.out.println();
		}
	}

	private void tr(Object... o) { if(INPUT.length() != 0)System.out.println(Arrays.deepToString(o)); }
}
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