#388930 (Java21) No.904 サメトロ

• 問題: No.904 サメトロ
• ユーザー: uwi
• 提出日時: 2019-10-11 21:54:05
• 言語: Java21 (openjdk 21)
• 結果: AC
• 実行時間: 52 ms / 1,000 ms
• コード長: 8,225 bytes
• コンパイル時間: 3,777 ms
• コンパイル使用メモリ: 90,228 KB
• 実行使用メモリ: 50,260 KB
• 最終ジャッジ日時: 2024-11-25 07:18:35
• 合計ジャッジ時間: 6,415 ms
• ジャッジサーバーID （参考情報）: judge5 / judge1

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	50 ms; 49,672 KB
testcase_01	AC	49 ms; 50,100 KB
testcase_02	AC	49 ms; 49,964 KB
testcase_03	AC	48 ms; 50,072 KB
testcase_04	AC	48 ms; 50,060 KB
testcase_05	AC	49 ms; 50,048 KB
testcase_06	AC	52 ms; 49,968 KB
testcase_07	AC	51 ms; 49,964 KB
testcase_08	AC	51 ms; 50,020 KB
testcase_09	AC	49 ms; 49,836 KB
testcase_10	AC	49 ms; 50,260 KB
testcase_11	AC	51 ms; 49,864 KB
testcase_12	AC	48 ms; 49,976 KB
testcase_13	AC	47 ms; 50,196 KB
testcase_14	AC	48 ms; 49,720 KB
testcase_15	AC	49 ms; 49,780 KB
testcase_16	AC	50 ms; 49,832 KB
testcase_17	AC	47 ms; 50,180 KB
testcase_18	AC	50 ms; 50,124 KB
testcase_19	AC	50 ms; 49,804 KB
testcase_20	AC	48 ms; 50,068 KB
testcase_21	AC	49 ms; 49,972 KB
testcase_22	AC	50 ms; 49,820 KB
testcase_23	AC	50 ms; 49,880 KB
testcase_24	AC	49 ms; 50,000 KB
testcase_25	AC	50 ms; 50,204 KB
testcase_26	AC	50 ms; 50,020 KB
testcase_27	AC	51 ms; 49,796 KB
testcase_28	AC	48 ms; 49,816 KB
testcase_29	AC	49 ms; 50,144 KB
testcase_30	AC	48 ms; 50,132 KB
testcase_31	AC	47 ms; 50,204 KB
testcase_32	AC	47 ms; 49,948 KB
testcase_33	AC	49 ms; 50,184 KB
testcase_34	AC	47 ms; 49,972 KB
testcase_35	AC	50 ms; 50,140 KB

ソースコード

package contest1910;
import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.List;

public class B {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		int n = ni();
		int[] a = new int[n-1];
		int[] b = new int[n-1];
		for(int i = 0;i < n-1;i++) {
			a[i] = ni();
			b[i] = ni();
		}
		
		List<Edge> es = new ArrayList<>();
		int src = 2*(n-1), sink = src + 1;
		long lsum = 0, rsum = 0;
		for(int i = 0;i < n-1;i++) {
			lsum += a[i];
			rsum += b[i];
			es.add(new Edge(src, i, a[i]));
			es.add(new Edge(i+n-1, sink, b[i]));
		}
		for(int i = 0;i < n-1;i++) {
			for(int j = 0;j < n-1;j++) {
				if(i != j) {
					es.add(new Edge(i, j+n-1, 99999));
				}
			}
		}
		long F = maximumFlowDinicNoRec(compileWD(sink+1, es), src, sink);
		out.println(F + 1);
	}
	
	public static class Edge
	{
		public int from, to;
		public long capacity;
		public long flow;
		public Edge complement;
		public boolean cloned;
		
		public Edge(int from, int to, long capacity) {
			this.from = from;
			this.to = to;
			this.capacity = capacity;
		}
	}
	
	public static void reset(Edge[][] g)
	{
		for(Edge[] row : g){
			for(Edge e : row){
				e.flow = e.cloned ? e.capacity : 0;
			}
		}
	}
	
	public static Edge[][] compileWD(int n, List<Edge> edges)
	{
		Edge[][] g = new Edge[n][];
		// cloning
		for(int i = edges.size()-1;i >= 0;i--){
			Edge origin = edges.get(i);
			Edge clone = new Edge(origin.to, origin.from, origin.capacity);
			clone.flow = origin.capacity;
			clone.complement = origin;
			clone.cloned = true;
			origin.complement = clone;
			edges.add(clone);
		}
		
		int[] p = new int[n];
		for(Edge e : edges)p[e.from]++;
		for(int i = 0;i < n;i++)g[i] = new Edge[p[i]];
		for(Edge e : edges)g[e.from][--p[e.from]] = e;
		return g;
	}
	
	public static Edge[][] compileWU(int n, List<Edge> edges)
	{
		Edge[][] g = new Edge[n][];
		// cloning
		for(int i = edges.size()-1;i >= 0;i--){
			Edge origin = edges.get(i);
			Edge clone = new Edge(origin.to, origin.from, origin.capacity*2);
			origin.flow = origin.capacity;
			clone.flow = origin.capacity;
			clone.complement = origin;
			clone.cloned = true;
			origin.complement = clone;
			origin.capacity *= 2;
			edges.add(clone);
		}
		
		int[] p = new int[n];
		for(Edge e : edges)p[e.from]++;
		for(int i = 0;i < n;i++)g[i] = new Edge[p[i]];
		for(Edge e : edges)g[e.from][--p[e.from]] = e;
		return g;
	}	
	
	public static long maximumFlowDinic(Edge[][] g, int source, int sink)
	{
		int n = g.length;
		int[] d = new int[n];
		int[] q = new int[n];
		long ret = 0;
		while(true){
			Arrays.fill(d, -1);
			q[0] = source;
			int r = 1;
			d[source] = 0;
			
			for(int v = 0;v < r;v++){
				int cur = q[v];
				for(Edge ne : g[cur]){
					if(d[ne.to] == -1 && ne.capacity - ne.flow > 0) {
						q[r++] = ne.to;
						d[ne.to] = d[cur] + 1;
					}
				}
			}
			if(d[sink] == -1)break;
			int[] sp = new int[n];
			for(int i = 0;i < n;i++)sp[i] = g[i].length - 1;
			ret += dfsDinic(d, g, sp, source, sink, Long.MAX_VALUE);
		}
		
		return ret;
	}
	
	private static long dfsDinic(int[] d, Edge[][] g, int[] sp, int cur, int sink, long min)
	{
		if(cur == sink)return min;
		long left = min;
		for(int i = sp[cur];i >= 0;i--){
			Edge ne = g[cur][i];
			if(d[ne.to] == d[cur]+1 && ne.capacity - ne.flow > 0){
				long fl = dfsDinic(d, g, sp, ne.to, sink, Math.min(left, ne.capacity - ne.flow));
				if(fl > 0){
					left -= fl;
					ne.flow += fl;
					ne.complement.flow -= fl;
					if(left == 0){
						sp[cur] = i;
						return min;
					}
				}
			}
		}
		sp[cur] = -1;
		return min-left;
	}
	
	public static long maximumFlowDinicNoRec(Edge[][] g, int source, int sink)
	{
		int n = g.length;
		int[] d = new int[n]; // distance
		int[] q = new int[n]; // queue for BFS
		long ret = 0;
		int[] stack = new int[n];
		long[] lefts = new long[n]; // left to flow
		long[] parflow = new long[n];
		int[] probe = new int[n]; // search pointer
		while(true){
			// BFS
			Arrays.fill(d, -1);
			q[0] = source;
			int r = 1;
			d[source] = 0;
			for(int v = 0;v < r;v++){
				int cur = q[v];
				for(Edge ne : g[cur]){
					if(d[ne.to] == -1 && ne.capacity - ne.flow > 0) {
						q[r++] = ne.to;
						d[ne.to] = d[cur] + 1;
					}
				}
			}
			if(d[sink] == -1)break;
			
			// DFS
			for(int i = 0;i < n;i++)probe[i] = g[i].length-1;
			int sp = 0;
			stack[sp] = source;
			lefts[sp] = Long.MAX_VALUE / 10;
			parflow[sp] = 0;
			sp++;
			long delta = 0;
			boolean down = true;
			while(sp > 0){
				int cur = stack[sp-1];
				long left = lefts[sp-1];
				if(cur == sink){
					delta += left;
					parflow[sp-1] = left;
					sp--;
					down = false;
					continue;
				}
				if(!down){
					if(parflow[sp] > 0){
						lefts[sp-1] -= parflow[sp];
						left = lefts[sp-1];
						Edge ne = g[cur][probe[cur]];
						ne.flow += parflow[sp];
						ne.complement.flow -= parflow[sp];
						parflow[sp-1] += parflow[sp];
					}
					if(left > 0)probe[cur]--;
				}
				if(left > 0 && probe[cur] >= 0){
					down = true;
					Edge ne = g[cur][probe[cur]];
					if(d[ne.to] == d[cur]+1 && ne.capacity - ne.flow > 0){
						lefts[sp] = Math.min(left, ne.capacity - ne.flow);
						stack[sp] = ne.to;
						parflow[sp] = 0;
						sp++;
					}else{
						probe[cur]--;
					}
				}else{
					down = false;
					sp--;
				}
			}
			ret += delta;
		}
		return ret;
	}

	
	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 B().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)); }
}