結果

問題 No.1261 数字集め
ユーザー uwiuwi
提出日時 2020-10-17 00:59:18
言語 Java21
(openjdk 21)
結果
AC  
実行時間 1,884 ms / 8,000 ms
コード長 14,356 bytes
コンパイル時間 4,930 ms
コンパイル使用メモリ 85,392 KB
実行使用メモリ 102,616 KB
最終ジャッジ日時 2023-09-28 10:47:03
合計ジャッジ時間 131,409 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge12
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 1,784 ms
101,944 KB
testcase_01 AC 701 ms
89,892 KB
testcase_02 AC 1,322 ms
97,996 KB
testcase_03 AC 1,312 ms
97,876 KB
testcase_04 AC 882 ms
92,432 KB
testcase_05 AC 1,685 ms
96,660 KB
testcase_06 AC 974 ms
92,204 KB
testcase_07 AC 1,316 ms
98,320 KB
testcase_08 AC 768 ms
90,288 KB
testcase_09 AC 977 ms
91,956 KB
testcase_10 AC 281 ms
83,152 KB
testcase_11 AC 1,707 ms
96,288 KB
testcase_12 AC 1,548 ms
96,692 KB
testcase_13 AC 1,392 ms
100,100 KB
testcase_14 AC 336 ms
81,376 KB
testcase_15 AC 757 ms
90,260 KB
testcase_16 AC 1,379 ms
97,828 KB
testcase_17 AC 1,103 ms
93,868 KB
testcase_18 AC 736 ms
89,704 KB
testcase_19 AC 1,306 ms
98,108 KB
testcase_20 AC 412 ms
81,828 KB
testcase_21 AC 1,718 ms
101,884 KB
testcase_22 AC 1,693 ms
101,956 KB
testcase_23 AC 1,840 ms
101,972 KB
testcase_24 AC 1,884 ms
102,052 KB
testcase_25 AC 1,752 ms
101,980 KB
testcase_26 AC 1,771 ms
102,072 KB
testcase_27 AC 1,727 ms
102,356 KB
testcase_28 AC 1,732 ms
102,272 KB
testcase_29 AC 1,697 ms
102,280 KB
testcase_30 AC 1,691 ms
102,256 KB
testcase_31 AC 1,713 ms
102,260 KB
testcase_32 AC 1,690 ms
102,016 KB
testcase_33 AC 1,741 ms
101,960 KB
testcase_34 AC 1,766 ms
101,916 KB
testcase_35 AC 1,775 ms
102,320 KB
testcase_36 AC 1,746 ms
102,080 KB
testcase_37 AC 1,767 ms
102,308 KB
testcase_38 AC 1,838 ms
102,184 KB
testcase_39 AC 1,809 ms
102,336 KB
testcase_40 AC 1,840 ms
102,304 KB
testcase_41 AC 1,773 ms
99,928 KB
testcase_42 AC 1,846 ms
101,884 KB
testcase_43 AC 1,804 ms
101,828 KB
testcase_44 AC 1,582 ms
97,348 KB
testcase_45 AC 498 ms
81,704 KB
testcase_46 AC 894 ms
92,292 KB
testcase_47 AC 687 ms
88,840 KB
testcase_48 AC 1,300 ms
97,628 KB
testcase_49 AC 1,530 ms
96,852 KB
testcase_50 AC 1,373 ms
99,820 KB
testcase_51 AC 527 ms
83,716 KB
testcase_52 AC 283 ms
83,308 KB
testcase_53 AC 529 ms
83,652 KB
testcase_54 AC 594 ms
86,036 KB
testcase_55 AC 395 ms
81,324 KB
testcase_56 AC 446 ms
81,408 KB
testcase_57 AC 1,240 ms
98,076 KB
testcase_58 AC 499 ms
79,688 KB
testcase_59 AC 1,623 ms
97,160 KB
testcase_60 AC 592 ms
86,304 KB
testcase_61 AC 711 ms
89,700 KB
testcase_62 AC 1,452 ms
96,464 KB
testcase_63 AC 423 ms
81,924 KB
testcase_64 AC 1,758 ms
102,048 KB
testcase_65 AC 1,141 ms
96,072 KB
testcase_66 AC 956 ms
92,196 KB
testcase_67 AC 1,518 ms
96,584 KB
testcase_68 AC 1,003 ms
92,228 KB
testcase_69 AC 977 ms
92,048 KB
testcase_70 AC 802 ms
89,904 KB
testcase_71 AC 1,442 ms
98,320 KB
testcase_72 AC 611 ms
87,952 KB
testcase_73 AC 686 ms
88,772 KB
testcase_74 AC 468 ms
81,396 KB
testcase_75 AC 906 ms
92,244 KB
testcase_76 AC 1,288 ms
97,684 KB
testcase_77 AC 1,503 ms
96,320 KB
testcase_78 AC 248 ms
82,412 KB
testcase_79 AC 1,572 ms
97,464 KB
testcase_80 AC 285 ms
83,296 KB
testcase_81 AC 353 ms
81,284 KB
testcase_82 AC 1,175 ms
96,040 KB
testcase_83 AC 619 ms
88,340 KB
testcase_84 AC 1,794 ms
101,688 KB
testcase_85 AC 1,795 ms
100,352 KB
testcase_86 AC 1,874 ms
102,188 KB
testcase_87 AC 1,848 ms
102,404 KB
testcase_88 AC 1,832 ms
102,064 KB
testcase_89 AC 1,827 ms
102,616 KB
testcase_90 AC 1,827 ms
102,248 KB
testcase_91 AC 1,778 ms
100,564 KB
testcase_92 AC 1,829 ms
102,128 KB
testcase_93 AC 1,833 ms
101,904 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 contest201016;

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

public class F2 {
	InputStream is;
	FastWriter out;

	String INPUT = "";
	final int mod = 1000000007;

	long[] m3;
	 long[] m2;
	 long[] m1;
	 int[] invs;

	public static long[] enumPowsUnderConstE(int e, int n, int[] lpf, int mod)
	{
		long[] ret = new long[n+1];
		for(int i = 1;i <= n;i++){
			if(i == lpf[i] || i == 1){
				ret[i] = pow(i, e, mod);
			}else{
				ret[i] = ret[i/lpf[i]] * ret[lpf[i]] % mod;
			}
		}
		return ret;
	}

	public void solve()
	{
		int n = ni(), m = ni();
		int[] a = new int[n+1];
		for(int i = 1;i < n;i++)a[i+1] = ni();
		long ans = 0;
		long[] plus = new long[n+1];
		invs = enumInvs(1000007, mod);

		int[] lpf = enumLowestPrimeFactors(1000000);
		m3 = enumPowsUnderConstE(m-3, 1000000, lpf, mod);
		m2 = new long[1000005];
		m1 = new long[1000005];
		for(int i = 0;i < 1000001;i++){
			m2[i] = m3[i] * i % mod;
			m1[i] = m2[i] * i % mod;
		}


		for(int l = 2;l < n;l++){
			for(int u = 2*l;u < n;u+=l){
				long v = calc(a[l]-1, a[u]-1, a[n]-1, m-3);
				plus[u] += v;
				if(plus[u] >= mod)plus[u] -= mod;
			}
		}

		boolean[] valid = new boolean[n+1];
		for(int i = 2;i < n;i++){
			if(n % i == 0){
				valid[i] = true;
				ans += plus[i];
				plus[i] = 0;
			}
		}
		ans %= mod;
		out.println(ans);
		for(int Q = ni();Q > 0;Q--){
			int x = ni(), y = ni();
			if(y < n){
				long v = calc(a[x]-1, a[y]-1, a[n]-1, m-3);
				if(valid[y]){
					ans += v;
					if(ans >= mod)ans -= mod;
				}else{
					plus[y] += v;
					if(plus[y] >= mod)plus[y] -= mod;
				}
			}else{
				valid[x] = true;
				ans += plus[x];
				if(ans >= mod)ans -= mod;
				plus[x] = 0;
			}
			out.println(ans);
		}
	}

	public static int[] enumInvs(int n, int mod) {
		int[] inv = new int[n + 1];
		inv[1] = 1;
		for (int i = 2; i <= n; i++) {
			inv[i] = (int) (inv[mod % i] * (long) (mod - mod / i) % mod);
		}
		return inv;
	}

	private long calc(long a, long b, long c, long x)
	{
		if(a > b){
			long d = a; a = b; b = d;
		}
		if(b > c){
			long d = b; b = c; c = d;
		}
		if(a > b){
			long d = a; a = b; b = d;
		}
		if(a < b && b < c){
			long num =
					m1[(int)a] * (c-b) +
					m1[(int)b] * (a-c) +
					m1[(int)c] * (b-a);
			num %= mod;
			if(num < 0)num += mod;
			return (num) * invs[(int)(b-a)] % mod * invs[(int)(c-b)] % mod * invs[(int)(c-a)] % mod;
		}else if(a < b){
			long num = m1[(int)a] - a*(x+2) % mod * m2[(int)b]
					+ (x+1) * m1[(int)b];
			num %= mod;
			if(num < 0)num += mod;
			return num * invs[(int)(b-a)] % mod  * invs[(int)(b-a)] % mod;
		}else if(b < c){
			a = c;
			long num = m1[(int)a] - a*(x+2) % mod * m2[(int)b]
					+ (x+1) * m1[(int)b];
			num %= mod;
			if(num < 0)num += mod;
			return num * invs[Math.abs((int)(b-a))] % mod  * invs[Math.abs((int)(b-a))] % mod;
		}else{
			return (x+1)*(x+2)/2%mod * m3[(int)b] % mod;
		}
	}

	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 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 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 F2().run();
	}

	public void run()
	{
//		int n = 1000000, m = 99999;
//		Random gen = new Random();
//		StringBuilder sb = new StringBuilder();
//		sb.append(n + " ");
//		sb.append(1000000 + " ");
//		for (int i = 0; i < n-1; i++) {
//			sb.append(gen.nextInt(200000)+2 + " ");
//		}
//		sb.append(0 + " ");
//		INPUT = sb.toString();


		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)); }
}
0