#941234 (Java21) No.2571 列辞書順列

提出ソース
結果

問題	No.2571 列辞書順列
ユーザー	uwi
提出日時	2023-12-30 13:32:28
言語	Java21 (openjdk 21)
結果	AC
実行時間	780 ms / 3,000 ms
コード長	16,210 bytes
コンパイル時間	5,765 ms
コンパイル使用メモリ	93,236 KB
実行使用メモリ	68,796 KB
最終ジャッジ日時	2024-09-27 16:41:17
合計ジャッジ時間	27,559 ms
ジャッジサーバーID （参考情報）	judge2 / 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	93 ms 50,988 KB
testcase_01	AC	96 ms 51,320 KB
testcase_02	AC	176 ms 52,884 KB
testcase_03	AC	178 ms 52,680 KB
testcase_04	AC	416 ms 61,392 KB
testcase_05	AC	407 ms 61,212 KB
testcase_06	AC	751 ms 68,388 KB
testcase_07	AC	741 ms 68,528 KB
testcase_08	AC	685 ms 63,152 KB
testcase_09	AC	692 ms 62,936 KB
testcase_10	AC	765 ms 68,404 KB
testcase_11	AC	773 ms 68,272 KB
testcase_12	AC	780 ms 68,560 KB
testcase_13	AC	766 ms 68,380 KB
testcase_14	AC	763 ms 68,756 KB
testcase_15	AC	764 ms 68,428 KB
testcase_16	AC	757 ms 68,712 KB
testcase_17	AC	759 ms 68,484 KB
testcase_18	AC	753 ms 68,356 KB
testcase_19	AC	757 ms 68,620 KB
testcase_20	AC	761 ms 68,264 KB
testcase_21	AC	771 ms 68,280 KB
testcase_22	AC	757 ms 68,644 KB
testcase_23	AC	750 ms 68,556 KB
testcase_24	AC	761 ms 68,796 KB
testcase_25	AC	766 ms 68,644 KB
testcase_26	AC	768 ms 68,416 KB
testcase_27	AC	763 ms 68,620 KB
testcase_28	AC	770 ms 68,568 KB
testcase_29	AC	765 ms 68,528 KB
testcase_30	AC	92 ms 51,016 KB
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ソースコード

raw source code
package no2xxx;

import java.io.*;
import java.util.ArrayDeque;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.Queue;
import java.util.function.Consumer;
import java.util.function.IntFunction;
import java.util.function.IntUnaryOperator;
import java.util.function.LongUnaryOperator;

public class No2571 {
	InputStream is;
	FastWriter out;

	String INPUT = "";

	static final int mod = 998244353;

	static long[] pm, cum;

	public static long sumGP(long a, long n, long mod) {
		long smul = 1; // % mod
		long mul = a % mod;
		long ret = 0;
		for (; n > 0; n >>>= 1) {
			if ((n & 1) == 1) {
				ret = (ret * mul + smul) % mod;
			}
			smul = smul * (mul + 1) % mod;
			mul = mul * mul % mod;
		}
		return ret;
	}

	static long MK;


	public void solve()
	{
		int n = ni(), m = ni(), K = ni(), Q = ni();
		int[] a = na(n);
		// 点変更
		// 区間 * 等比数列係数和

		pm = enumPows(m, n+1, mod);
		cum = buildcum(pm);
		MK = sumGP(m, K, mod);

//		tr(cum);

		// a+1
		// am+b+1
		// am^2+bm+c
		// am^3+bm^2+cm
		// am^4+bm^3+cm^2
		// ...
		// am^(k-1)+bm^(k-2)+cm^(k-3)

		SegmentTreeNode st = new SegmentTreeNode(n,
			i -> new Node(a[i]-1),
			(l, r, p) -> {
				p.len = l.len + r.len;
				p.s1 = (l.s1 * pm[r.len] + r.s1) % mod;
				p.s = (l.s + r.s - r.s1 * cum[l.len] % mod * pow(m, K-1-l.len-r.len+2, mod)) % mod;
				if(p.s < 0)p.s += mod;
			}
		);

		for(int z = 0;z < Q;z++){
			int t = ni();
			if(t == 1){
				int l = ni()-1, r = ni()-1;
				long ans = st.sum(l, r+1).s + r-l + 1;
				out.println(ans%mod);
			}else{
				int x = ni()-1, y = ni()-1;
				st.update1(x, node -> {
					node.s1 = y;
					node.s = y * MK % mod;
				});
			}
		}
	}

	public static long pow(long a, long n, long mod) {
		//		a %= mod;
		assert n >= 0;
		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[] buildcum(long[] a) {
		long[] b = new long[a.length+1];
		for(int i = 0;i < a.length;i++)b[i+1] = (b[i] + a[i]) % mod;
		return b;
	}


	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[] enumPows(int a, int n, int mod)
	{
		a %= mod;
		long[] pows = new long[n+1];
		pows[0] = 1;
		for(int i = 1;i <= n;i++)pows[i] = pows[i-1] * a % mod;
		return pows;
	}


	private static class Node
	{
		long s1; // am+b
		long s;
		int len;

		public Node()
		{
			len = 1;
		}

		public Node(int v)
		{
			len = 1;
			s1 = v;
			s = v * MK % mod;
		}
	}

	public static class SegmentTreeNode {
		public int M, H, N;
		public Node[] nodes;


		@FunctionalInterface
		public interface Propagator<T> {
			void accept(T c0, T c1, T p);
		}

		public Propagator<Node> prop2;

		public SegmentTreeNode(int n, IntFunction<Node> nodeSupplier, Propagator<Node> prop2)
		{
			N = n;
			M = Integer.highestOneBit(Math.max(N-1, 1))<<2;
			H = M>>>1;
			this.prop2 = prop2;

			nodes = new Node[M];
			for(int i = 0;i < N;i++){
				nodes[H+i] = nodeSupplier.apply(i);
			}
			for(int i = H-1;i >= 1;i--)propagate(i);
		}

		private void propagate(int cur)
		{
			if(2*cur >= M)return;
			nodes[cur] = prop2(nodes[2*cur], nodes[2*cur+1], nodes[cur]);
		}

		private Node prop2(Node L, Node R, Node C)
		{
			if(L != null && R != null){
				if(C == null)C = new Node();
				prop2.accept(L, R, C);
				return C;
			}else{
				return L != null ? L : R;
			}
		}

		public void update1(int x, Consumer<Node> operate) {
			operate.accept(nodes[H+x]);
			for(int i = H+x>>>1;i >= 1;i>>>=1)propagate(i);
		}

		public void update(int l, int r, Consumer<Node> operate) { if(l < r)update(l, r, 0, H, 1, operate); }

		protected void update(int l, int r, int cl, int cr, int cur, Consumer<Node> operate)
		{
			if(l <= cl && cr <= r){
				operate.accept(nodes[cur]);
				propagate(cur);
			}else{
				int mid = cl+cr>>>1;
				if(cl < r && l < mid){
					update(l, r, cl, mid, 2*cur, operate);
				}
				if(mid < r && l < cr){
					update(l, r, mid, cr, 2*cur+1, operate);
				}
				propagate(cur);
			}
		}

		public Node sum(int l, int r) {
			return sum(l, r, 0, H, 1);
		}

		protected Node sum(int l, int r, int cl, int cr, int cur)
		{
			if(l <= cl && cr <= r){
				return nodes[cur];
			}else{
				Node L = null, R = null;
				int mid = cl+cr>>>1;
				if(cl < r && l < mid){
					L = sum(l, r, cl, mid, 2*cur);
				}
				if(mid < r && l < cr){
					R = sum(l, r, mid, cr, 2*cur+1);
				}
				return prop2(L, R, null);
			}
		}

		@Override
		public String toString()
		{
			return dfsToString(1, "");
		}

		private String dfsToString(int cur, String indent)
		{
			if(cur >= M || nodes[cur] == null)return "";
			return dfsToString(2*cur, indent + "  ")
					+ indent + nodes[cur].toString() + "\n"
					+ dfsToString(2*cur+1, indent + "  ");
		}
	}



	public static void main(String[] args) {
		new No2571().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[][] 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[] 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 write(IntUnaryOperator f, int... xs)
		{
			boolean first = true;
			for(int x : xs) {
				if (!first) write(' ');
				first = false;
				write(f.applyAsInt(x));
			}
			return this;
		}

		public FastWriter write(LongUnaryOperator f, long... xs)
		{
			boolean first = true;
			for(long x : xs) {
				if (!first) write(' ');
				first = false;
				write(f.applyAsLong(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(IntUnaryOperator f, int... xs) { return write(f, xs).writeln(); }
		public FastWriter writeln(LongUnaryOperator f, long... xs) { return write(f, 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 print(IntUnaryOperator f, int... xs) { return write(f, xs); }
		public FastWriter print(LongUnaryOperator f, long... xs) { return write(f, xs); }
		public FastWriter println(int... xs) { return writeln(xs); }
		public FastWriter println(long... xs) { return writeln(xs); }
		public FastWriter println(IntUnaryOperator f, int... xs) { return writeln(f, xs); }
		public FastWriter println(LongUnaryOperator f, long... xs) { return writeln(f, 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)); }
}
yukicoder

結果

テストケース

ソースコード
