結果

問題 No.1460 Max of Min
ユーザー cyclerecycle9cyclerecycle9
提出日時 2022-05-04 02:57:51
言語 Java21
(openjdk 21)
結果
AC  
実行時間 950 ms / 2,000 ms
コード長 5,104 bytes
コンパイル時間 2,550 ms
コンパイル使用メモリ 79,180 KB
実行使用メモリ 470,644 KB
最終ジャッジ日時 2024-07-03 03:06:16
合計ジャッジ時間 34,683 ms
ジャッジサーバーID
(参考情報)
judge2 / judge1
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 53 ms
36,808 KB
testcase_01 AC 51 ms
36,924 KB
testcase_02 AC 52 ms
36,724 KB
testcase_03 AC 950 ms
466,272 KB
testcase_04 AC 924 ms
460,900 KB
testcase_05 AC 53 ms
36,664 KB
testcase_06 AC 933 ms
458,752 KB
testcase_07 AC 934 ms
460,908 KB
testcase_08 AC 53 ms
36,552 KB
testcase_09 AC 52 ms
36,908 KB
testcase_10 AC 841 ms
465,276 KB
testcase_11 AC 823 ms
460,532 KB
testcase_12 AC 252 ms
76,532 KB
testcase_13 AC 484 ms
228,988 KB
testcase_14 AC 303 ms
102,636 KB
testcase_15 AC 184 ms
65,772 KB
testcase_16 AC 415 ms
181,424 KB
testcase_17 AC 291 ms
102,580 KB
testcase_18 AC 96 ms
40,376 KB
testcase_19 AC 331 ms
122,756 KB
testcase_20 AC 104 ms
41,420 KB
testcase_21 AC 139 ms
50,004 KB
testcase_22 AC 356 ms
122,952 KB
testcase_23 AC 90 ms
39,768 KB
testcase_24 AC 283 ms
122,224 KB
testcase_25 AC 86 ms
39,056 KB
testcase_26 AC 489 ms
226,856 KB
testcase_27 AC 169 ms
65,904 KB
testcase_28 AC 131 ms
50,444 KB
testcase_29 AC 328 ms
122,920 KB
testcase_30 AC 389 ms
180,960 KB
testcase_31 AC 326 ms
122,884 KB
testcase_32 AC 219 ms
66,612 KB
testcase_33 AC 71 ms
38,232 KB
testcase_34 AC 212 ms
52,484 KB
testcase_35 AC 112 ms
41,724 KB
testcase_36 AC 53 ms
36,676 KB
testcase_37 AC 145 ms
50,668 KB
testcase_38 AC 92 ms
39,916 KB
testcase_39 AC 207 ms
52,216 KB
testcase_40 AC 129 ms
45,988 KB
testcase_41 AC 131 ms
46,236 KB
testcase_42 AC 100 ms
40,300 KB
testcase_43 AC 279 ms
76,700 KB
testcase_44 AC 287 ms
102,468 KB
testcase_45 AC 89 ms
39,272 KB
testcase_46 AC 203 ms
67,048 KB
testcase_47 AC 252 ms
67,760 KB
testcase_48 AC 342 ms
123,412 KB
testcase_49 AC 198 ms
85,676 KB
testcase_50 AC 95 ms
39,916 KB
testcase_51 AC 260 ms
76,916 KB
testcase_52 AC 136 ms
50,424 KB
testcase_53 AC 135 ms
46,096 KB
testcase_54 AC 147 ms
50,888 KB
testcase_55 AC 260 ms
120,832 KB
testcase_56 AC 110 ms
45,656 KB
testcase_57 AC 290 ms
103,364 KB
testcase_58 AC 934 ms
465,984 KB
testcase_59 AC 207 ms
78,372 KB
testcase_60 AC 213 ms
100,812 KB
testcase_61 AC 161 ms
50,488 KB
testcase_62 AC 162 ms
50,496 KB
testcase_63 AC 59 ms
36,700 KB
testcase_64 AC 58 ms
36,592 KB
testcase_65 AC 337 ms
123,828 KB
testcase_66 AC 166 ms
50,600 KB
testcase_67 AC 63 ms
37,348 KB
testcase_68 AC 294 ms
102,328 KB
testcase_69 AC 286 ms
77,012 KB
testcase_70 AC 257 ms
67,688 KB
testcase_71 AC 342 ms
123,872 KB
testcase_72 AC 134 ms
50,296 KB
testcase_73 AC 143 ms
50,636 KB
testcase_74 AC 118 ms
50,252 KB
testcase_75 AC 115 ms
45,808 KB
testcase_76 AC 110 ms
45,792 KB
testcase_77 AC 117 ms
45,972 KB
testcase_78 AC 69 ms
37,832 KB
testcase_79 AC 126 ms
45,868 KB
testcase_80 AC 110 ms
41,288 KB
testcase_81 AC 69 ms
37,804 KB
testcase_82 AC 112 ms
45,980 KB
testcase_83 AC 90 ms
39,500 KB
testcase_84 AC 851 ms
470,644 KB
testcase_85 AC 844 ms
466,212 KB
testcase_86 AC 810 ms
465,688 KB
testcase_87 AC 845 ms
461,816 KB
testcase_88 AC 828 ms
459,852 KB
testcase_89 AC 853 ms
459,760 KB
testcase_90 AC 839 ms
464,312 KB
testcase_91 AC 856 ms
458,984 KB
testcase_92 AC 843 ms
466,052 KB
testcase_93 AC 828 ms
463,460 KB
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ソースコード

diff #

import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.math.BigDecimal;
import java.math.RoundingMode;
import java.util.*;



public class Main {
	static final long MOD=1000000007;
	static final long MOD1=998244353;
	static int size = 0;
	static long MAX = 1000000000000000000l;
	public static void main(String[] args){
		PrintWriter out = new PrintWriter(System.out);
		InputReader sc=new InputReader(System.in);
		int k = sc.nextInt();
		long n = sc.nextLong();
		long[] init = sc.nextLongArray(k);
		long[] a = sc.nextLongArray(k);
		kitamasa KITA = new kitamasa(k, a);
		System.out.println(KITA.calc(init, n));
   	}
	//きたまさ法, k項間線形漸化式の第n項をO(k^2logn)で求める
	//注) aもinitも小さい順に入れていく、a_k = c_k-1*a_k-1 + .... + c_0*a_0 なら添え字の通りにいれる  
	//0index-dで0~k-1項を初項として計算する
	//コンストラクタに漸化式の係数を与えて初期化。calcで初項を与えて計算する。
	static class kitamasa{
		int k;
		long[] a;
		public kitamasa(int k, long[] a) {
			this.k = k;
			this.a = new long[k];
			for (int i = 0; i < a.length; i++) {
				this.a[i] = a[i];
			}
		}
		long[] dfs(long n){
	        if(n == k)  return a;
	        long[] res = new long[k];
	        Arrays.fill(res, Long.MIN_VALUE);
	        if((n & 1) == 1 || n < k * 2){
	            long[] x = dfs(n - 1);
	            oneplus(res, x);
	        }
	        else{
	        	long[][] x = new long[k][k];
	        	for (int i = 0; i < x.length; i++) {
					Arrays.fill(x[i], Long.MIN_VALUE);
				}
	            x[0] = dfs(n >> 1);
	            for(int i = 0; i + 1 < k; i++){
	            	oneplus(x[i+1], x[i]);
	            }
	            for(int i = 0; i < k; i++){
	                for(int j = 0; j < k; j++){
	                    res[j] = Math.max(res[j], Math.min(x[0][i] , x[i][j]));
	                }
	            }
	        }
	        return res;
	    }
		void oneplus(long[] res, long[] x) {
			for(int i = 0; i < k; i++)  res[i] = Math.min(a[i] , x[k - 1]);
	        for(int i = 0; i + 1 < k; i++)  res[i + 1] = Math.max(res[i + 1] , x[i]);
		}
		long calc(long[] init, long n) {
			if(n<k) return init[(int)n];
			long[] x = dfs(n);//a_nの係数
			long res = Long.MIN_VALUE;
			for (int i = 0; i < k; i++) {
				res = Math.max(res, Math.min(init[i] , x[i]));
			}
			return res;
		}
	}
	static class InputReader { 
		private InputStream in;
		private byte[] buffer = new byte[1024];
		private int curbuf;
		private int lenbuf;
		public InputReader(InputStream in) {
			this.in = in;
			this.curbuf = this.lenbuf = 0;
		}
		public boolean hasNextByte() {
			if (curbuf >= lenbuf) {
				curbuf = 0;
				try {
					lenbuf = in.read(buffer);
				} catch (IOException e) {
					throw new InputMismatchException();
				}
				if (lenbuf <= 0)
					return false;
			}
			return true;
		}
 
		private int readByte() {
			if (hasNextByte())
				return buffer[curbuf++];
			else
				return -1;
		}
 
		private boolean isSpaceChar(int c) {
			return !(c >= 33 && c <= 126);
		}
 
		private void skip() {
			while (hasNextByte() && isSpaceChar(buffer[curbuf]))
				curbuf++;
		}
 
		public boolean hasNext() {
			skip();
			return hasNextByte();
		}
 
		public String next() {
			if (!hasNext())
				throw new NoSuchElementException();
			StringBuilder sb = new StringBuilder();
			int b = readByte();
			while (!isSpaceChar(b)) {
				sb.appendCodePoint(b);
				b = readByte();
			}
			return sb.toString();
		}
 
		public int nextInt() {
			if (!hasNext())
				throw new NoSuchElementException();
			int c = readByte();
			while (isSpaceChar(c))
				c = readByte();
			boolean minus = false;
			if (c == '-') {
				minus = true;
				c = readByte();
			}
			int res = 0;
			do {
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res = res * 10 + c - '0';
				c = readByte();
			} while (!isSpaceChar(c));
			return (minus) ? -res : res;
		}
 
		public long nextLong() {
			if (!hasNext())
				throw new NoSuchElementException();
			int c = readByte();
			while (isSpaceChar(c))
				c = readByte();
			boolean minus = false;
			if (c == '-') {
				minus = true;
				c = readByte();
			}
			long res = 0;
			do {
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res = res * 10 + c - '0';
				c = readByte();
			} while (!isSpaceChar(c));
			return (minus) ? -res : res;
		}
 
		public double nextDouble() {
			return Double.parseDouble(next());
		}
 
		public int[] nextIntArray(int n) {
			int[] a = new int[n];
			for (int i = 0; i < n; i++)
				a[i] = nextInt();
			return a;
		}
		public double[] nextDoubleArray(int n) {
			double[] a = new double[n];
			for (int i = 0; i < n; i++)
				a[i] = nextDouble();
			return a;
		}
		public long[] nextLongArray(int n) {
			long[] a = new long[n];
			for (int i = 0; i < n; i++)
				a[i] = nextLong();
			return a;
		}
 
		public char[][] nextCharMap(int n, int m) {
			char[][] map = new char[n][m];
			for (int i = 0; i < n; i++)
				map[i] = next().toCharArray();
			return map;
		}
	}
}
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