結果

問題 No.992 最長増加部分列の数え上げ
ユーザー uwiuwi
提出日時 2020-02-14 22:02:35
言語 Java21
(openjdk 21)
結果
AC  
実行時間 358 ms / 2,000 ms
コード長 5,723 bytes
コンパイル時間 4,007 ms
コンパイル使用メモリ 85,132 KB
実行使用メモリ 48,220 KB
最終ジャッジ日時 2024-04-16 02:03:33
合計ジャッジ時間 17,587 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge3
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 51 ms
37,276 KB
testcase_01 AC 50 ms
37,056 KB
testcase_02 AC 51 ms
37,220 KB
testcase_03 AC 51 ms
37,084 KB
testcase_04 AC 249 ms
43,928 KB
testcase_05 AC 195 ms
41,848 KB
testcase_06 AC 227 ms
44,696 KB
testcase_07 AC 213 ms
43,088 KB
testcase_08 AC 165 ms
41,524 KB
testcase_09 AC 228 ms
43,164 KB
testcase_10 AC 273 ms
44,656 KB
testcase_11 AC 271 ms
45,620 KB
testcase_12 AC 131 ms
39,944 KB
testcase_13 AC 218 ms
43,224 KB
testcase_14 AC 216 ms
43,140 KB
testcase_15 AC 137 ms
40,036 KB
testcase_16 AC 313 ms
47,312 KB
testcase_17 AC 156 ms
41,320 KB
testcase_18 AC 195 ms
43,392 KB
testcase_19 AC 247 ms
45,140 KB
testcase_20 AC 355 ms
47,776 KB
testcase_21 AC 338 ms
47,776 KB
testcase_22 AC 343 ms
47,488 KB
testcase_23 AC 340 ms
47,776 KB
testcase_24 AC 342 ms
47,736 KB
testcase_25 AC 342 ms
47,404 KB
testcase_26 AC 358 ms
47,316 KB
testcase_27 AC 343 ms
47,652 KB
testcase_28 AC 348 ms
47,496 KB
testcase_29 AC 346 ms
47,180 KB
testcase_30 AC 311 ms
47,648 KB
testcase_31 AC 302 ms
47,308 KB
testcase_32 AC 304 ms
47,380 KB
testcase_33 AC 299 ms
47,836 KB
testcase_34 AC 307 ms
47,564 KB
testcase_35 AC 322 ms
47,428 KB
testcase_36 AC 317 ms
47,696 KB
testcase_37 AC 294 ms
47,564 KB
testcase_38 AC 290 ms
47,140 KB
testcase_39 AC 298 ms
47,432 KB
testcase_40 AC 314 ms
48,220 KB
testcase_41 AC 305 ms
48,064 KB
testcase_42 AC 315 ms
47,704 KB
testcase_43 AC 303 ms
47,656 KB
testcase_44 AC 318 ms
47,792 KB
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ソースコード

diff # 

package contest200214;
import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.InputMismatchException;

public class E {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		int n = ni();
		int[] a = na(n);
		out.println(countLIS(a, 1000000007));
	}
	
	public static int[] shrink(int[] a)
	{
		int n = a.length;
		long[] b = new long[n];
		for(int i = 0;i < n;i++)b[i] = (long)a[i]+1000000000<<32|i;
		Arrays.sort(b);
		int[] ret = new int[n];
		int p = 0;
		for(int i = 0;i < n;i++) {
			if(i>0 && (b[i]^b[i-1])>>32!=0)p++;
			ret[(int)b[i]] = p;
		}
		return ret;
	}

	
	public static long countLIS(int[] a, int mod)
	{
		if(mod == 1)return 0;
		a = shrink(a);
		int n = a.length;
		SegmentTreeRMQSumWhenMax st = new SegmentTreeRMQSumWhenMax(n+1, mod);
		st.updateOrAdd(0, 0, 1); // shifted by 1
		for(int i = 0;i < n;i++){
			int max = st.maxx(0, a[i]+1); // <=a[i]
			st.updateOrAdd(a[i]+1, max+1, (int)st.gw);
		}
		return st.w[1];
	}
	
	private static class SegmentTreeRMQSumWhenMax {
		public int M, H, N;
		public int[] st;
		public int[] w;
		public int mod;
		
		public SegmentTreeRMQSumWhenMax(int n, int mod)
		{
			N = n;
			M = Integer.highestOneBit(Math.max(N-1, 1))<<2;
			H = M>>>1;
			st = new int[M];
			w = new int[M];
			this.mod = mod;
			Arrays.fill(st, 0, M, Integer.MIN_VALUE);
		}
		
		public SegmentTreeRMQSumWhenMax(int[] a, int mod)
		{
			N = a.length;
			M = Integer.highestOneBit(Math.max(N-1, 1))<<2;
			H = M>>>1;
			st = new int[M];
			w = new int[M];
			for(int i = 0;i < N;i++){
				st[H+i] = a[i];
			}
			this.mod = mod;
			Arrays.fill(st, H+N, M, Integer.MIN_VALUE);
			for(int i = H-1;i >= 1;i--)propagate(i);
		}
		
		// if x equals to before st[H+pos], +y, else update y
		public void updateOrAdd(int pos, int x, int y)
		{
			if(x < st[H+pos])throw new RuntimeException("x < st[H+pos]");
			if(x == st[H+pos]){
				w[H+pos] += y;
				if(w[H+pos] >= mod)w[H+pos] -= mod;
			}else{
				st[H+pos] = x;
				w[H+pos] = y; // y % mod
			}
			for(int i = (H+pos)>>>1;i >= 1;i >>>= 1)propagate(i);
		}
		
		private void propagate(int i)
		{
			if(st[2*i] < st[2*i+1]){
				st[i] = st[2*i+1];
				w[i] = w[2*i+1];
			}else if(st[2*i] > st[2*i+1]){
				st[i] = st[2*i];
				w[i] = w[2*i];
			}else{
				st[i] = st[2*i];
				w[i] = w[2*i] + w[2*i+1];
				if(w[i] >= mod)w[i] -= mod;
			}
		}
		
		public long gw;
		
		public int maxx(int l, int r){
			gw = 0;
			if(l >= r)return 0;
			int max = Integer.MIN_VALUE;
			while(l != 0){
				int f = l&-l;
				if(l+f > r)break;
				int v = st[(H+l)/f];
				if(v > max){
					max = v;
					gw = w[(H+l)/f];
				}else if(v == max){
					gw += w[(H+l)/f];
				}
				l += f;
			}
			
			while(l < r){
				int f = r&-r;
				int v = st[(H+r)/f-1];
				if(v > max){
					max = v;
					gw = w[(H+r)/f-1];
				}else if(v == max){
					gw += w[(H+r)/f-1];
				}
				r -= f;
			}
			gw %= mod;
			return max;
		}
	}
	
	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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