#564054 (Java) No.1251 絶対に間違ってはいけない最小化問題

• 問題: No.1251 絶対に間違ってはいけない最小化問題
• ユーザー: uwi
• 提出日時: 2020-10-09 21:28:01
• 言語: Java (openjdk 23)
• 結果: AC
• 実行時間: 591 ms / 2,000 ms
• コード長: 3,971 bytes
• コンパイル時間: 6,042 ms
• コンパイル使用メモリ: 82,048 KB
• 実行使用メモリ: 65,552 KB
• 最終ジャッジ日時: 2024-07-20 08:43:21
• 合計ジャッジ時間: 29,390 ms
• ジャッジサーバーID （参考情報）: judge1 / judge2

ファイルパターン	結果
sample	AC * 3
other	AC * 42

ソースコード

package contest201009;
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 C {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		int n = ni();
		int[] a = na(n);
		int[] b = na(n);
		int[][] ab = new int[n][];
		for(int i = 0;i < n;i++){
			ab[i] = new int[]{a[i], b[i]};
		}
		Arrays.sort(ab, (x, y) -> {
			if (x[0] != y[0]) return x[0] - y[0];
			return (x[1] - y[1]);
		});


		long[] bc = new long[n+1];
		for(int i = 0;i < n;i++){
			bc[i+1] = bc[i] + ab[i][1];
		}
		for(int i = 0;i <= n;i++){
			if(bc[i] >= bc[n] - bc[i]){
				// [0,i), [i,n)
				long ans = Long.MAX_VALUE;
				int arg = -1;
				{
					long can = go(i - 1, ab);
					if (can < ans) {
						ans = can;
						arg = ab[i - 1][0];
					}
				}
				{
					long can = go(i, ab);
					if (can < ans) {
						ans = can;
						arg = ab[i - 1][0];
					}
				}
				out.println(arg + " " + ans);
				return;
			}
		}
	}

	long go(int p, int[][] ab)
	{
		int n = ab.length;
		if(p < 0 || p >= n)return Long.MAX_VALUE;
		long ret = 0;
		for(int[] v : ab){
			ret += (long)Math.abs(v[0]-ab[p][0])*v[1];
		}
		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 C().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)); }
}