結果

問題 No.1031 いたずら好きなお姉ちゃん
ユーザー uwiuwi
提出日時 2020-04-18 04:00:54
言語 Java21
(openjdk 21)
結果
AC  
実行時間 392 ms / 3,500 ms
コード長 6,621 bytes
コンパイル時間 4,699 ms
コンパイル使用メモリ 85,284 KB
実行使用メモリ 92,408 KB
最終ジャッジ日時 2024-04-14 20:03:41
合計ジャッジ時間 22,445 ms
ジャッジサーバーID
(参考情報)
judge1 / judge4
このコードへのチャレンジ
(要ログイン)

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
50,208 KB
testcase_01 AC 52 ms
50,192 KB
testcase_02 AC 52 ms
49,976 KB
testcase_03 AC 79 ms
50,944 KB
testcase_04 AC 79 ms
51,080 KB
testcase_05 AC 80 ms
51,424 KB
testcase_06 AC 78 ms
50,784 KB
testcase_07 AC 77 ms
50,756 KB
testcase_08 AC 78 ms
50,660 KB
testcase_09 AC 78 ms
51,220 KB
testcase_10 AC 80 ms
51,156 KB
testcase_11 AC 329 ms
73,976 KB
testcase_12 AC 317 ms
74,148 KB
testcase_13 AC 358 ms
78,088 KB
testcase_14 AC 336 ms
74,028 KB
testcase_15 AC 371 ms
78,908 KB
testcase_16 AC 325 ms
74,936 KB
testcase_17 AC 392 ms
79,692 KB
testcase_18 AC 371 ms
78,652 KB
testcase_19 AC 373 ms
78,788 KB
testcase_20 AC 378 ms
78,436 KB
testcase_21 AC 372 ms
79,164 KB
testcase_22 AC 320 ms
73,568 KB
testcase_23 AC 316 ms
74,616 KB
testcase_24 AC 371 ms
79,544 KB
testcase_25 AC 368 ms
78,668 KB
testcase_26 AC 373 ms
79,596 KB
testcase_27 AC 324 ms
73,744 KB
testcase_28 AC 377 ms
78,108 KB
testcase_29 AC 360 ms
78,312 KB
testcase_30 AC 362 ms
78,588 KB
testcase_31 AC 382 ms
78,772 KB
testcase_32 AC 359 ms
78,512 KB
testcase_33 AC 369 ms
78,332 KB
testcase_34 AC 337 ms
92,408 KB
testcase_35 AC 358 ms
82,624 KB
testcase_36 AC 357 ms
85,208 KB
testcase_37 AC 347 ms
87,148 KB
testcase_38 AC 346 ms
82,352 KB
testcase_39 AC 338 ms
81,844 KB
testcase_40 AC 346 ms
83,664 KB
testcase_41 AC 347 ms
82,152 KB
testcase_42 AC 336 ms
83,364 KB
testcase_43 AC 350 ms
79,476 KB
testcase_44 AC 350 ms
79,104 KB
testcase_45 AC 345 ms
79,576 KB
testcase_46 AC 352 ms
90,188 KB
testcase_47 AC 348 ms
87,988 KB
testcase_48 AC 350 ms
88,284 KB
testcase_49 AC 352 ms
85,076 KB
testcase_50 AC 355 ms
87,040 KB
testcase_51 AC 361 ms
89,120 KB
testcase_52 AC 382 ms
89,060 KB
testcase_53 AC 366 ms
86,672 KB
testcase_54 AC 52 ms
50,252 KB
testcase_55 AC 51 ms
50,380 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 contest200417;
import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.InputMismatchException;

// O(n)
public class E2 {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		int n = ni();
		int[] a = na(n);
		
		out.println(go(a) + go(rev(a)));
	}
	
	public static int[] rev(int[] a){int[] b = new int[a.length];for(int i = 0;i < a.length;i++)b[a.length-1-i] = a[i];return b;}

	
	long go(int[] a)
	{		
		int n = a.length;
		int[] larger = enumPrevWall(a);
		int[] smaller = enumPrevShutter(a);
		int[] par = new int[n+1];
		for(int i = 0;i < n;i++){
			par[i] = larger[i] == -1 ? n : larger[i];
		}
		par[n] = -1;
		int[][] g = parentToG(par);
		
		int[][] pars = parents3(g, n);
		int[] dep = pars[2];
		
		int[][] qs = new int[n][];
		
		long ans = 0;
		int p = 0;
		for(int i = 0;i < n;i++){
			int s = smaller[i];
			if(s != -1)qs[p++] = new int[]{i, smaller[i], -1};
			
			ans += dep[i];
		}
		ans -= n;
		lcabatch(g, n, Arrays.copyOf(qs, p));
		for(int i = 0;i < p;i++){
			ans -= dep[qs[i][2]];
		}
		
		return ans;
	}
	
	static void lcabatch(int[][] g, int root, int[][] qs)
	{
		int n = g.length;
		int[] ps = new int[n];
		for(int[] q : qs){
			assert q.length == 3;
			ps[q[0]]++;
			ps[q[1]]++;
		}
		int[][][] qg = new int[n][][];
		for(int i = 0;i < n;i++)qg[i] = new int[ps[i]][];
		for(int[] q : qs){
			qg[q[0]][--ps[q[0]]] = q;
			qg[q[1]][--ps[q[1]]] = q;
		}
		lcadfs(root, -1, g, qg, new DJSet(n), new int[n], new boolean[n]);
	}
	
	static void lcadfs(int u, int par, int[][] g, int[][][] qg, DJSet ds, int[] anc, boolean[] black)
	{
		anc[u] = u;
		for(int v : g[u]){
			if(v == par)continue;
			lcadfs(v, u, g, qg, ds, anc, black);
			ds.union(u, v);
			anc[ds.root(u)] = u;
		}
		black[u] = true;
		for(int[] q : qg[u]){
			int v = u^q[0]^q[1];
			if(black[v])q[2] = anc[ds.root(v)];
		}
	}
	
	public static class DJSet {
		public int[] upper;

		public DJSet(int n) {
			upper = new int[n];
			Arrays.fill(upper, -1);
		}

		public int root(int x) {
			return upper[x] < 0 ? x : (upper[x] = root(upper[x]));
		}

		public boolean equiv(int x, int y) {
			return root(x) == root(y);
		}

		public boolean union(int x, int y) {
			x = root(x);
			y = root(y);
			if (x != y) {
				if (upper[y] < upper[x]) {
					int d = x;
					x = y;
					y = d;
				}
				upper[x] += upper[y];
				upper[y] = x;
			}
			return x == y;
		}

		public int count() {
			int ct = 0;
			for (int u : upper)
				if (u < 0)
					ct++;
			return ct;
		}
	}

	
	public static int[][] parents3(int[][] g, int root) {
		int n = g.length;
		int[] par = new int[n];
		Arrays.fill(par, -1);

		int[] depth = new int[n];
		depth[0] = 0;

		int[] q = new int[n];
		q[0] = root;
		for (int p = 0, r = 1; p < r; p++) {
			int cur = q[p];
			for (int nex : g[cur]) {
				if (par[cur] != nex) {
					q[r++] = nex;
					par[nex] = cur;
					depth[nex] = depth[cur] + 1;
				}
			}
		}
		return new int[][] { par, q, depth };
	}

	
	public static int[][] parentToG(int[] par)
	{
		int n = par.length;
		int[] ct = new int[n];
		for(int i = 0;i < n;i++){
			if(par[i] >= 0){
				ct[i]++;
				ct[par[i]]++;
			}
		}
		int[][] g = new int[n][];
		for(int i = 0;i < n;i++){
			g[i] = new int[ct[i]];
		}
		for(int i = 0;i < n;i++){
			if(par[i] >= 0){
				g[par[i]][--ct[par[i]]] = i;
				g[i][--ct[i]] = par[i];
			}
		}
		return g;
	}
	

	
	
	
	public static int[] enumPrevWall(int[] a)
	{
		int n = a.length;
		int[] L = new int[n];
		L[0] = -1;
		for(int i = 1;i < n;i++){
			L[i] = i-1;
			while(L[i] >= 0 && a[L[i]] < a[i])L[i] = L[L[i]];
		}
		return L;
	}

	public static int[] enumPrevShutter(int[] a)
	{
		int n = a.length;
		int[] L = new int[n];
		L[0] = -1;
		for(int i = 1;i < n;i++){
			L[i] = i-1;
			while(L[i] >= 0 && a[L[i]] > a[i])L[i] = L[L[i]];
		}
		return L;
	}

	
	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 E2().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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