結果

問題 No.1194 Replace
ユーザー uwiuwi
提出日時 2020-08-22 15:50:45
言語 Java21
(openjdk 21)
結果
AC  
実行時間 956 ms / 2,000 ms
コード長 6,749 bytes
コンパイル時間 5,043 ms
コンパイル使用メモリ 85,096 KB
実行使用メモリ 79,760 KB
最終ジャッジ日時 2024-10-15 10:00:20
合計ジャッジ時間 22,953 ms
ジャッジサーバーID
（参考情報） 		judge4 / 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 827 ms
65,420 KB
testcase_01 AC 892 ms
66,180 KB
testcase_02 AC 635 ms
60,404 KB
testcase_03 AC 566 ms
61,388 KB
testcase_04 AC 703 ms
63,500 KB
testcase_05 AC 727 ms
64,808 KB
testcase_06 AC 726 ms
63,168 KB
testcase_07 AC 836 ms
78,660 KB
testcase_08 AC 871 ms
79,408 KB
testcase_09 AC 875 ms
79,196 KB
testcase_10 AC 956 ms
78,480 KB
testcase_11 AC 944 ms
79,760 KB
testcase_12 AC 946 ms
79,360 KB
testcase_13 AC 552 ms
56,636 KB
testcase_14 AC 585 ms
55,480 KB
testcase_15 AC 425 ms
54,676 KB
testcase_16 AC 629 ms
56,644 KB
testcase_17 AC 406 ms
54,204 KB
testcase_18 AC 392 ms
53,904 KB
testcase_19 AC 602 ms
57,152 KB
testcase_20 AC 51 ms
37,200 KB
testcase_21 AC 52 ms
36,900 KB
testcase_22 AC 50 ms
36,880 KB
testcase_23 AC 250 ms
49,736 KB
testcase_24 AC 150 ms
43,496 KB
testcase_25 AC 111 ms
40,476 KB
testcase_26 AC 257 ms
44,564 KB
testcase_27 AC 126 ms
41,112 KB
testcase_28 AC 182 ms
42,896 KB
testcase_29 AC 73 ms
38,544 KB
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ソースコード

diff # 

package gioku2020day1;
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 M {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		int n = ni(), m = ni();
		int[] from = new int[m];
		int[] to = new int[m];
		for(int i = 0;i < m;i++){
			from[i] = ni()-1;
			to[i] = ni()-1;
		}
		
		int[] hey = new int[2*m];
		for(int i = 0;i < m;i++){
			hey[i] =from[i];
			hey[i+m] = to[i];
		}
		int[] imap = shrinkX(hey);
		long ans = (long)n*(n+1)/2;
		for(int v : imap){
			ans -= v+1;
		}
		
		for(int i = 0;i < m;i++){
			from[i] = hey[i];
			to[i] = hey[i+m];
		}
		int w = imap.length;
		
		int[][] g = packD(w, to, from);
		int[] clus = decomposeToSCCNoRec(g);
		int[][] cg = condense(g, clus);
		int u = cg.length;
		int[] maxs = new int[u];
		for(int i = 0;i < w;i++){
			maxs[clus[i]] = Math.max(maxs[clus[i]], imap[i]);
		}
		for(int i = u-1;i >= 0;i--){
			for(int e : cg[i]){
				maxs[e] = Math.max(maxs[e], maxs[i]);
			}
		}
		for(int i = 0;i < w;i++){
			ans += maxs[clus[i]] + 1;
		}
		out.println(ans);
	}
	
	public static int[] shrinkX(int[] a) {
		int n = a.length;
		long[] b = new long[n];
		for (int i = 0; i < n; i++)
			b[i] = (long) a[i] << 32 | i;
		Arrays.sort(b);
		int[] ret = new int[n];
		int p = 0;
		ret[0] = (int) (b[0] >> 32);
		for (int i = 0; i < n; i++) {
			if (i > 0 && (b[i] ^ b[i - 1]) >> 32 != 0) {
				p++;
				ret[p] = (int) (b[i] >> 32);
			}
			a[(int) b[i]] = p;
		}
		return Arrays.copyOf(ret, p + 1);
	}

	
	public static int[] decomposeToSCCNoRec(int[][] g)
	{
		int n = g.length;
		int[] stack = new int[n+1];
		int[] ind = new int[n+1];
		int[] ord = new int[n];
		Arrays.fill(ord, -1);
		int[] low = new int[n];
		Arrays.fill(low, -1);
		int sp = 0;
		int id = 0; // preorder
		int[] clus = new int[n];
		int cid = 0;
		int[] cstack = new int[n+1];
		int csp = 0;
		boolean[] incstack = new boolean[n];
		for(int i = 0;i < n;i++){
			if(ord[i] == -1){
				ind[sp] = 0;
				cstack[csp++] = i;
				stack[sp++] = i;
				incstack[i] = true;
				while(sp > 0){
					int cur = stack[sp-1];
					if(ind[sp-1] == 0){
						ord[cur] = low[cur] = id++;
					}
					if(ind[sp-1] < g[cur].length){
						int nex = g[cur][ind[sp-1]];
						if(ord[nex] == -1){
							ind[sp-1]++;
							ind[sp] = 0;
							incstack[nex] = true;
							cstack[csp++] = nex;
							stack[sp++] = nex;
						}else{
							// shortcut
//							U.tr(cur, nex, incstack[nex], low[nex], stack);
							if(incstack[nex])low[cur] = Math.min(low[cur], ord[nex]); // low is ok too, but slower.
							ind[sp-1]++;
						}
					}else{
						if(ord[cur] == low[cur]){
							while(csp > 0){
								incstack[cstack[csp-1]] = false;
								clus[cstack[--csp]] = cid;
								if(cstack[csp] == cur)break;
							}
							cid++;
						}
						if(--sp >= 1)low[stack[sp-1]] = Math.min(low[stack[sp-1]], low[stack[sp]]);
					}
				}
			}
		}
		return clus;
	}
	
	public static int[][] condense(int[][] g, int[] clus)
	{
		int n = g.length;
		int m = 0;
		for(int i = 0;i < n;i++)m = Math.max(m, clus[i]);
		m++;
		
		int[] cp = new int[m];
		for(int i = 0;i < n;i++){
			cp[clus[i]] += g[i].length;
		}
		int[][] c = new int[m][];
		for(int i = 0;i < m;i++){
			c[i] = new int[cp[i]];
		}
		
		for(int i = 0;i < n;i++){
			for(int j = 0;j < g[i].length;j++){
				c[clus[i]][--cp[clus[i]]] = clus[g[i][j]];
			}
		}
		
		for(int i = 0;i < m;i++){
			Arrays.sort(c[i]);
			int jp = 0;
			for(int j = 0;j < c[i].length;j++){
				if((j == 0 || c[i][j] != c[i][j-1]) && c[i][j] != i){
					c[i][jp++] = c[i][j];
				}
			}
			c[i] = Arrays.copyOf(c[i], jp);
		}
		return c;
	}

	
	static int[][] packD(int n, int[] from, int[] to) {
		int[][] g = new int[n][];
		int[] p = new int[n];
		for (int f : from)
			p[f]++;
		for (int i = 0; i < n; i++)
			g[i] = new int[p[i]];
		for (int i = 0; i < from.length; i++) {
			g[from[i]][--p[from[i]]] = to[i];
		}
		return g;
	}

	
	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 M().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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