結果

問題 No.705 ゴミ拾い Hard
ユーザー 37zigen37zigen
提出日時 2018-07-01 07:05:15
言語 Java21
(openjdk 21)
結果
AC  
実行時間 450 ms / 1,500 ms
コード長 3,782 bytes
コンパイル時間 2,081 ms
コンパイル使用メモリ 75,528 KB
実行使用メモリ 68,868 KB
最終ジャッジ日時 2023-09-13 16:32:06
合計ジャッジ時間 11,631 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge12
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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 41 ms
49,616 KB
testcase_01 AC 40 ms
49,164 KB
testcase_02 AC 41 ms
49,124 KB
testcase_03 AC 42 ms
49,348 KB
testcase_04 AC 40 ms
49,620 KB
testcase_05 AC 41 ms
49,132 KB
testcase_06 AC 41 ms
49,128 KB
testcase_07 AC 40 ms
49,176 KB
testcase_08 AC 45 ms
49,204 KB
testcase_09 AC 42 ms
49,188 KB
testcase_10 AC 42 ms
49,164 KB
testcase_11 AC 41 ms
49,068 KB
testcase_12 AC 41 ms
49,244 KB
testcase_13 AC 41 ms
49,216 KB
testcase_14 AC 53 ms
49,460 KB
testcase_15 AC 54 ms
49,536 KB
testcase_16 AC 57 ms
50,792 KB
testcase_17 AC 57 ms
50,216 KB
testcase_18 AC 57 ms
50,248 KB
testcase_19 AC 56 ms
50,384 KB
testcase_20 AC 57 ms
50,832 KB
testcase_21 AC 56 ms
50,208 KB
testcase_22 AC 56 ms
50,296 KB
testcase_23 AC 58 ms
50,372 KB
testcase_24 AC 382 ms
68,868 KB
testcase_25 AC 444 ms
64,852 KB
testcase_26 AC 416 ms
68,044 KB
testcase_27 AC 439 ms
68,428 KB
testcase_28 AC 450 ms
67,820 KB
testcase_29 AC 371 ms
64,208 KB
testcase_30 AC 342 ms
66,968 KB
testcase_31 AC 395 ms
63,816 KB
testcase_32 AC 355 ms
64,172 KB
testcase_33 AC 225 ms
67,024 KB
testcase_34 AC 221 ms
67,484 KB
testcase_35 AC 289 ms
62,992 KB
testcase_36 AC 303 ms
63,280 KB
testcase_37 AC 335 ms
63,148 KB
testcase_38 AC 269 ms
62,528 KB
testcase_39 AC 349 ms
67,188 KB
testcase_40 AC 42 ms
49,572 KB
testcase_41 AC 40 ms
49,132 KB
testcase_42 AC 41 ms
49,236 KB
testcase_43 AC 286 ms
62,328 KB
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ソースコード

diff # 

import java.io.IOException;
import java.io.InputStream;
import java.util.ArrayDeque;
import java.util.Arrays;
import java.util.NoSuchElementException;

class Main {

	public static void main(String[] args) {
		new Main().run();
	}

	int N;
	long[] A, X, Y;
	long[] D;

	void run() {
		Scanner sc = new Scanner();
		N = sc.nextInt();
		A = new long[N];
		X = new long[N];
		Y = new long[N];
		D = new long[N];
		Arrays.fill(D, Long.MAX_VALUE / 3);
		for (int i = 0; i < N; ++i) {
			A[i] = sc.nextLong();
		}
		for (int i = 0; i < N; ++i) {
			X[i] = sc.nextLong();
		}
		for (int i = 0; i < N; ++i) {
			Y[i] = sc.nextLong();
		}
		// d[i]=min_{j<=i}(d[j-1]+cost[j,i])
		ArrayDeque<P> dq = new ArrayDeque<>();
		for (int i = 0; i < N; ++i) {
			// d[i]を求める
			while (dq.size() >= 2 && second(dq).i <= i) {
				dq.pollFirst();
			}
			while (!dq.isEmpty() && f(i, dq.peekLast().j) >= f(i, i)) {
				dq.pollLast();
			}
			if (dq.isEmpty()) {
				dq.addLast(new P(i, i));
				D[i] = f(i, i);
				continue;
			}
			D[i] = f(i, dq.peekFirst().j);
			while (true) {
				int ok = N;
				int ng = i;
				while (ok - ng > 1) {
					int m = (ok + ng) / 2;
					if (f(m, i) <= f(m, dq.peekLast().j)) {
						ok = m;
					} else {
						ng = m;
					}
				}
				if (ok > dq.peekLast().i) {
					if (ok < N)
						dq.addLast(new P(ok, i));
					break;
				} else {
					dq.pollLast();
				}
			}
		}
		System.out.println(D[N - 1]);
	}

	P second(ArrayDeque<P> dq) {
		if (dq.size() < 2)
			throw new AssertionError();
		P tmp = dq.pollFirst();
		P ret = new P(dq.peekFirst().i, dq.peekFirst().j);
		dq.addFirst(tmp);
		return ret;
	}

	long cost(int from, int to) {
		long dx = Math.abs(X[from] - A[to]);
		long dy = Math.abs(Y[from]);
		return dx * dx * dx + dy * dy * dy;
	}

	long f(int i, int j) {
		if (i < j)
			throw new AssertionError();
		if (j > 0 && D[j - 1] == -1)
			throw new AssertionError();
		return (j > 0 ? D[j - 1] : 0) + cost(j, i);
	}

	class P {
		int i, j;

		public P(int i_, int j_) {
			i = i_;
			j = j_;
		}
	}

	class Scanner {
		private final InputStream in = System.in;
		private final byte[] buffer = new byte[1024];
		private int ptr = 0;
		private int buflen = 0;

		private boolean hasNextByte() {
			if (ptr < buflen) {
				return true;
			} else {
				ptr = 0;
				try {
					buflen = in.read(buffer);
				} catch (IOException e) {
					e.printStackTrace();
				}
				if (buflen <= 0) {
					return false;
				}
			}
			return true;
		}

		private int readByte() {
			if (hasNextByte())
				return buffer[ptr++];
			else
				return -1;
		}

		private boolean isPrintableChar(int c) {
			return 33 <= c && c <= 126;
		}

		private void skipUnprintable() {
			while (hasNextByte() && !isPrintableChar(buffer[ptr]))
				ptr++;
		}

		public boolean hasNext() {
			skipUnprintable();
			return hasNextByte();
		}

		public String next() {
			if (!hasNext())
				throw new NoSuchElementException();
			StringBuilder sb = new StringBuilder();
			int b = readByte();
			while (isPrintableChar(b)) {
				sb.appendCodePoint(b);
				b = readByte();
			}
			return sb.toString();
		}

		public long nextLong() {
			if (!hasNext())
				throw new NoSuchElementException();
			long n = 0;
			boolean minus = false;
			int b = readByte();
			if (b == '-') {
				minus = true;
				b = readByte();
			}
			if (b < '0' || '9' < b) {
				throw new NumberFormatException();
			}
			while (true) {
				if ('0' <= b && b <= '9') {
					n *= 10;
					n += b - '0';
				} else if (b == -1 || !isPrintableChar(b)) {
					return minus ? -n : n;
				} else {
					throw new NumberFormatException();
				}
				b = readByte();
			}
		}

		int nextInt() {
			return (int) nextLong();
		}
	}

	void tr(Object... objects) {
		System.out.println(Arrays.deepToString(objects));
	}
}
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