#931237 (Java21) No.2546 Many Arithmetic Sequences

提出ソース

結果

問題	No.2546 Many Arithmetic Sequences
ユーザー	uwi
提出日時	2023-11-24 23:17:48
言語	Java21 (openjdk 21)
結果	WA
実行時間	-
コード長	15,331 bytes
コンパイル時間	5,814 ms
コンパイル使用メモリ	93,288 KB
実行使用メモリ	82,548 KB
最終ジャッジ日時	2024-09-26 10:01:38
合計ジャッジ時間	18,732 ms
ジャッジサーバーID （参考情報）	judge3 / 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	69 ms 38,192 KB
testcase_01	AC	75 ms 38,484 KB
testcase_02	AC	80 ms 38,336 KB
testcase_03	AC	302 ms 55,988 KB
testcase_04	AC	444 ms 63,060 KB
testcase_05	AC	368 ms 57,476 KB
testcase_06	AC	203 ms 45,612 KB
testcase_07	AC	268 ms 51,060 KB
testcase_08	AC	202 ms 46,252 KB
testcase_09	AC	245 ms 52,036 KB
testcase_10	AC	393 ms 62,092 KB
testcase_11	AC	373 ms 59,444 KB
testcase_12	AC	254 ms 50,068 KB
testcase_13	AC	370 ms 54,984 KB
testcase_14	AC	359 ms 58,616 KB
testcase_15	AC	199 ms 46,752 KB
testcase_16	AC	371 ms 57,328 KB
testcase_17	AC	447 ms 58,324 KB
testcase_18	AC	313 ms 54,160 KB
testcase_19	AC	381 ms 54,784 KB
testcase_20	AC	245 ms 51,088 KB
testcase_21	AC	306 ms 54,992 KB
testcase_22	AC	379 ms 57,140 KB
testcase_23	AC	502 ms 72,188 KB
testcase_24	AC	532 ms 71,992 KB
testcase_25	AC	541 ms 72,104 KB
testcase_26	AC	528 ms 70,208 KB
testcase_27	WA	-
testcase_28	AC	386 ms 67,112 KB
testcase_29	AC	368 ms 66,776 KB
testcase_30	AC	357 ms 66,804 KB
testcase_31	AC	358 ms 66,820 KB
testcase_32	AC	379 ms 66,792 KB
testcase_33	AC	72 ms 38,236 KB
testcase_34	AC	504 ms 72,088 KB
testcase_35	AC	82 ms 37,812 KB
testcase_36	AC	438 ms 69,412 KB
testcase_37	RE	-
testcase_38	AC	70 ms 38,068 KB

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ソースコード

raw source code

package contest231124;
import java.io.*;
import java.util.*;
import java.util.function.IntUnaryOperator;
import java.util.function.LongUnaryOperator;

public class F {
	InputStream is;
	FastWriter out;

	String INPUT = "";

	public void solve()
	{
		// maximize
		// f(X) = sum_{i=1}^n (a_i * X_i + d_i * X_i * (X_i-1)/2
		// sum x_i = m

		// 増加列は1つだけ選べば良い？

		int n = ni(), m = ni();
		int[][] ad = nmi(n, 2);

		List<int[]> asc = new ArrayList<>();
		PriorityQueue<long[]> pq = new PriorityQueue<>((x, y) -> Long.compare(y[0], x[0]));
		for(int i = 0;i < n;i++){
			if(ad[i][1] > 0){
				asc.add(ad[i]);
			}else{
				pq.add(new long[]{ad[i][0], ad[i][1]});
			}
		}

//		Collections.sort(asc, (x, y) -> {
//			if(x[1] != y[1])return x[1] - y[1];
//			return x[0] - y[0];
//		});
//		long maxa = Long.MIN_VALUE;
//		List<int[]> sel = new ArrayList<>();
//		for(int i = asc.size()-1;i >= 0;i--){
//			if (asc.get(i)[0] > maxa) {
//				maxa = asc.get(i)[0];
//				sel.add(asc.get(i));
//			}
//		}

//		long[] amaxs = new long[m+1];
//		Arrays.fill(amaxs, Long.MIN_VALUE / 3);
//		amaxs[0] = 0;
//		if(sel.size() > 0) {
//			int p = 0;
//			for (int x = 1; x <= m; x++) {
//				while (p + 1 < sel.size() && (long) sel.get(p)[0] * x + (long) sel.get(p)[1] * x * (x - 1) / 2 <= (long) sel.get(p + 1)[0] * x + (long) sel.get(p + 1)[1] * x * (x - 1) / 2) {
//					p++;
//				}
//				amaxs[x] = (long) sel.get(p)[0] * x + (long) sel.get(p)[1] * x * (x - 1) / 2;
//			}
//		}

		long[] maxs = new long[m+1];
		for(int i = 0;i < m;i++){
			long[] v = pq.poll();
			maxs[i+1] = maxs[i] + v[0];
			v[0] += v[1];
			pq.add(v);
		}
		long[] bm = new long[m+1];
		for(int i = 1;i <= m;i++){
			bm[i] = maxs[i] - maxs[i-1];
		}
		// 0 a a+d a+2d ...
		// 0 10 8 5 2 -2

		// -(a+(m-t)d) + bm[t]

		if(asc.size() == 0){
			out.println(maxs[m]);
			return;
		}

//		tr(bm);


		EnvelopeLinear el = new EnvelopeLinear(m+1);
		for(int i = m;i >= 1;i--){
			el.add(-(m-i), bm[i], i);
		}
		long ans = maxs[m];
		for(int[] as : asc){
			ans = Math.max(ans, (long)as[0]*m + as[1]*(long)m*(m-1)/2);
//			long[] ya = new long[m+1];
////			tr(as);
//			for(int i = 1;i <= m;i++){
//				ya[i] = bm[i] - (long)(m-i) * as[1];
//			}
//			tr(ya);
			int x = el.labels[el.argmin(as[1])];
//			tr(x);
			int low = 0, high = x;
			while(high - low > 1){
				int h = high+low>>1;
				if(bm[h] - as[0] - (long)(m-h) * as[1] >= 0){
					low = h;
				}else{
					high = h;
				}
			}
//			tr(low, high);
			long y = m-low;
			ans = Math.max(ans, maxs[low] + as[0] * y + as[1] * y * (y-1) / 2);
		}
		out.println(ans);
	}


	public static class EnvelopeLinear {
		public static final long INF = Long.MIN_VALUE;

		public long[] xs;
		public long[] intercepts, slopes;
		public int[] labels;
		public int p;

		public EnvelopeLinear(int n)
		{
			xs = new long[n];
			intercepts = new long[n];
			slopes = new long[n];
			labels = new int[n];
			Arrays.fill(labels, -1);
			p = 0;
		}

		public void clear()
		{
			p = 0;
		}

		public void add(long slope, long intercept, int label)
		{
			assert p == 0 || slopes[p-1] >= slope;
			while(p > 0){
				int i = p-1;
				if(p > 1 && intercept+xs[i]*slope <= intercepts[i]+xs[i]*slopes[i]){ // x=xs[i]
					p--;
					continue;
				}
				if(slope == slopes[i]){
					if(intercept >= intercepts[i]){
						return;
					}else{
						p--;
						continue;
					}
				}
				// y=sx+i vs y=Sx+I
				// sx+i=Sx+I
				// x=(i-I)/(S-s)
				long num = intercept-intercepts[i];
				long den = slopes[i]-slope;
				long nx = num < 0 ? num/den : (num+den-1)/den;
				xs[p] = nx;
				intercepts[p] = intercept;
				slopes[p] = slope;
				labels[p] = label;
				p++;
				return;
			}

			xs[p] = INF;
			intercepts[p] = intercept;
			slopes[p] = slope;
			labels[p] = label;
			p++;
		}

		public int argmin(int x)
		{
			if(p <= 0)return -1;
			int ind = Arrays.binarySearch(xs, 0, p, x);
			if(ind < 0)ind = -ind-2;
			return ind;
		}

		public long min(long x)
		{
			if(p <= 0)return Long.MIN_VALUE;
			int ind = Arrays.binarySearch(xs, 0, p, x);
			if(ind < 0)ind = -ind-2;
			return slopes[ind]*x + intercepts[ind];
		}
	}


	public static void main(String[] args) {
		new F().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