#109331 (Java21) No.409 ダイエット

提出ソース

結果

問題	No.409 ダイエット
ユーザー	37zigen
提出日時	2016-08-07 01:58:10
言語	Java21 (openjdk 21)
結果	AC
実行時間	254 ms / 2,000 ms
コード長	4,916 bytes
コンパイル時間	2,607 ms
コンパイル使用メモリ	81,656 KB
実行使用メモリ	48,928 KB
最終ジャッジ日時	2024-06-26 09:49:15
合計ジャッジ時間	20,208 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
（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	113 ms 41,360 KB
testcase_01	AC	108 ms 39,988 KB
testcase_02	AC	122 ms 41,264 KB
testcase_03	AC	127 ms 41,516 KB
testcase_04	AC	125 ms 41,452 KB
testcase_05	AC	116 ms 40,564 KB
testcase_06	AC	111 ms 39,944 KB
testcase_07	AC	115 ms 40,756 KB
testcase_08	AC	122 ms 41,096 KB
testcase_09	AC	111 ms 40,556 KB
testcase_10	AC	111 ms 40,116 KB
testcase_11	AC	124 ms 41,544 KB
testcase_12	AC	121 ms 41,184 KB
testcase_13	AC	115 ms 41,252 KB
testcase_14	AC	124 ms 41,088 KB
testcase_15	AC	108 ms 40,364 KB
testcase_16	AC	120 ms 41,224 KB
testcase_17	AC	119 ms 41,272 KB
testcase_18	AC	119 ms 40,720 KB
testcase_19	AC	124 ms 41,696 KB
testcase_20	AC	114 ms 40,284 KB
testcase_21	AC	117 ms 41,176 KB
testcase_22	AC	125 ms 41,188 KB
testcase_23	AC	114 ms 41,128 KB
testcase_24	AC	124 ms 41,332 KB
testcase_25	AC	110 ms 40,128 KB
testcase_26	AC	123 ms 41,592 KB
testcase_27	AC	121 ms 41,468 KB
testcase_28	AC	122 ms 41,044 KB
testcase_29	AC	126 ms 41,520 KB
testcase_30	AC	111 ms 40,216 KB
testcase_31	AC	112 ms 40,772 KB
testcase_32	AC	110 ms 40,140 KB
testcase_33	AC	114 ms 40,128 KB
testcase_34	AC	112 ms 40,360 KB
testcase_35	AC	143 ms 41,616 KB
testcase_36	AC	153 ms 41,472 KB
testcase_37	AC	140 ms 41,308 KB
testcase_38	AC	135 ms 41,240 KB
testcase_39	AC	144 ms 41,480 KB
testcase_40	AC	134 ms 40,448 KB
testcase_41	AC	147 ms 41,524 KB
testcase_42	AC	133 ms 40,884 KB
testcase_43	AC	140 ms 41,648 KB
testcase_44	AC	129 ms 40,200 KB
testcase_45	AC	153 ms 41,780 KB
testcase_46	AC	140 ms 41,872 KB
testcase_47	AC	138 ms 41,096 KB
testcase_48	AC	146 ms 41,436 KB
testcase_49	AC	144 ms 41,252 KB
testcase_50	AC	138 ms 41,232 KB
testcase_51	AC	141 ms 40,684 KB
testcase_52	AC	148 ms 41,192 KB
testcase_53	AC	127 ms 40,188 KB
testcase_54	AC	138 ms 41,328 KB
testcase_55	AC	192 ms 44,940 KB
testcase_56	AC	224 ms 47,824 KB
testcase_57	AC	238 ms 48,156 KB
testcase_58	AC	237 ms 44,720 KB
testcase_59	AC	247 ms 46,984 KB
testcase_60	AC	227 ms 44,464 KB
testcase_61	AC	210 ms 47,308 KB
testcase_62	AC	198 ms 47,376 KB
testcase_63	AC	243 ms 48,928 KB
testcase_64	AC	245 ms 44,720 KB
testcase_65	AC	243 ms 46,988 KB
testcase_66	AC	213 ms 47,896 KB
testcase_67	AC	249 ms 48,164 KB
testcase_68	AC	218 ms 47,144 KB
testcase_69	AC	245 ms 48,848 KB
testcase_70	AC	220 ms 48,392 KB
testcase_71	AC	218 ms 44,824 KB
testcase_72	AC	232 ms 47,972 KB
testcase_73	AC	234 ms 47,196 KB
testcase_74	AC	206 ms 46,872 KB
testcase_75	AC	254 ms 47,652 KB
testcase_76	AC	232 ms 47,124 KB
testcase_77	AC	206 ms 44,504 KB
testcase_78	AC	212 ms 44,884 KB
testcase_79	AC	219 ms 44,708 KB
testcase_80	AC	230 ms 47,512 KB
testcase_81	AC	229 ms 47,372 KB
testcase_82	AC	226 ms 47,632 KB
testcase_83	AC	231 ms 47,928 KB
testcase_84	AC	251 ms 46,844 KB
testcase_85	AC	176 ms 42,376 KB
testcase_86	AC	243 ms 47,032 KB
testcase_87	AC	245 ms 48,632 KB
testcase_88	AC	221 ms 44,032 KB
testcase_89	AC	226 ms 47,572 KB
testcase_90	AC	191 ms 44,116 KB
testcase_91	AC	228 ms 48,072 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

raw source code

package No400番台;

import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Scanner;

public class Main {
	static InputStream is;
	static PrintWriter out;
	static String INPUT = "";

	public static void main(String[] args) throws Exception {
		is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
		out = new PrintWriter(System.out);

		solver();
		out.flush();
	}

	static long nl() {
		try {
			long num = 0;
			boolean minus = false;
			while ((num = is.read()) != -1 && !((num >= '0' && num <= '9') || num == '-'))
				;
			if (num == '-') {
				num = 0;
				minus = true;
			} else {
				num -= '0';
			}

			while (true) {
				int b = is.read();
				if (b >= '0' && b <= '9') {
					num = num * 10 + (b - '0');
				} else {
					return minus ? -num : num;
				}
			}
		} catch (IOException e) {
		}
		return -1;
	}

	static char nc() {
		try {
			int b = skip();
			if (b == -1)
				return 0;
			return (char) b;
		} catch (IOException e) {
		}
		return 0;
	}

	static double nd() {
		try {
			return Double.parseDouble(ns());
		} catch (Exception e) {
		}
		return 0;
	}

	static String ns() {
		try {
			int b = skip();
			StringBuilder sb = new StringBuilder();
			if (b == -1)
				return "";
			sb.append((char) b);
			while (true) {
				b = is.read();
				if (b == -1)
					return sb.toString();
				if (b <= ' ')
					return sb.toString();
				sb.append((char) b);
			}
		} catch (IOException e) {
		}
		return "";
	}

	public static char[] ns(int n) {
		char[] buf = new char[n];
		try {
			int b = skip(), p = 0;
			if (b == -1)
				return null;
			buf[p++] = (char) b;
			while (p < n) {
				b = is.read();
				if (b == -1 || b <= ' ')
					break;
				buf[p++] = (char) b;
			}
			return Arrays.copyOf(buf, p);
		} catch (IOException e) {
		}
		return null;
	}

	public static byte[] nse(int n) {
		byte[] buf = new byte[n];
		try {
			int b = skip();
			if (b == -1)
				return null;
			is.read(buf);
			return buf;
		} catch (IOException e) {
		}
		return null;
	}

	static int skip() throws IOException {
		int b;
		while ((b = is.read()) != -1 && !(b >= 33 && b <= 126))
			;
		return b;
	}

	static boolean eof() {
		try {
			is.mark(1000);
			int b = skip();
			is.reset();
			return b == -1;
		} catch (IOException e) {
			return true;
		}
	}

	static int ni() {
		try {
			int num = 0;
			boolean minus = false;
			while ((num = is.read()) != -1 && !((num >= '0' && num <= '9') || num == '-'))
				;
			if (num == '-') {
				num = 0;
				minus = true;
			} else {
				num -= '0';
			}

			while (true) {
				int b = is.read();
				if (b >= '0' && b <= '9') {
					num = num * 10 + (b - '0');
				} else {
					return minus ? -num : num;
				}
			}
		} catch (IOException e) {
		}
		return -1;
	}

	static void solver() {
		Scanner sc = new Scanner(System.in);
		int n = ni();// the duration
		long a = nl();// the effet of fasting
		long b = nl();// the effect of stress
		long w = nl();// current weight
		long[] d = new long[n];
		for (int i = 0; i < n; i++) {
			d[i] = nl();
		}
		/*
		 * F[0]=W F[k]=D[k]+min(F[i]+(k-i-1)*(k-i)/2*B-(k-i-1)*A) (0<=i<=k-1)
		 * 
		 * answer:min(F[i]-(n-i)*A+1/2*(n-i)(n-i+1)*B) (0<=i<=n)
		 * 
		 * F[k]=D[k]-(k-1)*A+(k-1)*k/2*B+min(F[i]+-ikB+i*(i+1)/2*B+iA)
		 */
		int[] deq = new int[n + 3];
		long[] F = new long[n + 1];
		F[0] = w;

		int s = 0;
		int t = 1;
		for (int i = 1; i <= n; i++) {
			while (s + 1 < t && f(deq[s], i, d, b, a, F) >= f(deq[s + 1], i, d, b, a, F))
				s++;
			F[i] = f(deq[s], i, d, b, a, F) + (long)d[i - 1] - (long)(i - 1) *(long) a + ((long)i * (long)i - (long)i) / 2 * (long)b;
			while (s + 1 < t && check(deq[t - 2], deq[t - 1], i, b, F, a))
				t--;
			deq[t++] = i;
		}
		long ans = 1L << 60;
		for (int i = 0; i <= n; i++) {
			long D = n - i;
			ans = Math.min(ans, F[i] + (long) b * ((long) D + 1L) * (long) D / 2 - (long) a * (long) D);
		}
		System.out.println(ans);

	}

	static class Pair {
		long a, b;

		Pair(long a, long b) {
			this.a = a;
			this.b = b;
		}
	}

	static boolean check(int k1, int k2, int k3, long b, long[] F, long a) {
		long a1 = -(long) k1 * (long) b;
		long a2 = -(long) k2 * (long) b;
		long a3 = -(long) k3 * (long) b;
		long b1 = F[k1] + (long) k1 * (long) a + ((long) k1 * (long) k1 + (long) k1) / 2 * (long) b;
		long b2 = F[k2] + (long) k2 * (long) a + ((long) k2 * (long) k2 + (long) k2) / 2 * (long) b;
		long b3 = F[k3] + (long) k3 * (long) a + ((long) k3 * (long) k3 + (long) k3) / 2 * (long) b;
		return ( a2 - a1) * ( b3 - b1) >= (b1 - b2) * ( a1 -  a3);

	}

	static long f(int j, long x, long[] d, long b, long a, long[] F) {
		return -(long) j * (long) b * (long) x + F[j] + (long) j * (long) a
				+ ((long) j * (long) j + (long) j) / 2 * (long) b;
	}

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

yukicoder

結果

テストケース

ソースコード