結果

問題 No.409 ダイエット
ユーザー uwiuwi
提出日時 2016-08-06 01:02:56
言語 Java21
(openjdk 21)
結果
AC  
実行時間 148 ms / 2,000 ms
コード長 3,996 bytes
コンパイル時間 4,924 ms
コンパイル使用メモリ 86,600 KB
実行使用メモリ 58,956 KB
最終ジャッジ日時 2023-09-08 16:55:47
合計ジャッジ時間 15,416 ms
ジャッジサーバーID
(参考情報)
judge14 / judge13
このコードへのチャレンジ(β)

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 42 ms
49,312 KB
testcase_01 AC 41 ms
49,196 KB
testcase_02 AC 42 ms
49,252 KB
testcase_03 AC 42 ms
49,332 KB
testcase_04 AC 42 ms
49,236 KB
testcase_05 AC 42 ms
49,204 KB
testcase_06 AC 42 ms
49,080 KB
testcase_07 AC 42 ms
49,220 KB
testcase_08 AC 42 ms
49,196 KB
testcase_09 AC 42 ms
49,064 KB
testcase_10 AC 42 ms
49,328 KB
testcase_11 AC 42 ms
49,380 KB
testcase_12 AC 42 ms
49,276 KB
testcase_13 AC 42 ms
49,088 KB
testcase_14 AC 42 ms
49,184 KB
testcase_15 AC 42 ms
49,380 KB
testcase_16 AC 42 ms
49,184 KB
testcase_17 AC 42 ms
49,092 KB
testcase_18 AC 42 ms
49,208 KB
testcase_19 AC 42 ms
49,220 KB
testcase_20 AC 42 ms
49,392 KB
testcase_21 AC 42 ms
49,336 KB
testcase_22 AC 43 ms
49,336 KB
testcase_23 AC 42 ms
49,096 KB
testcase_24 AC 42 ms
49,376 KB
testcase_25 AC 42 ms
49,204 KB
testcase_26 AC 42 ms
49,288 KB
testcase_27 AC 42 ms
49,204 KB
testcase_28 AC 42 ms
49,340 KB
testcase_29 AC 42 ms
49,420 KB
testcase_30 AC 42 ms
49,336 KB
testcase_31 AC 43 ms
49,188 KB
testcase_32 AC 42 ms
49,224 KB
testcase_33 AC 43 ms
49,288 KB
testcase_34 AC 43 ms
49,288 KB
testcase_35 AC 47 ms
49,216 KB
testcase_36 AC 47 ms
49,332 KB
testcase_37 AC 47 ms
49,264 KB
testcase_38 AC 47 ms
49,220 KB
testcase_39 AC 47 ms
49,208 KB
testcase_40 AC 46 ms
49,100 KB
testcase_41 AC 47 ms
49,288 KB
testcase_42 AC 47 ms
49,152 KB
testcase_43 AC 47 ms
49,192 KB
testcase_44 AC 47 ms
49,196 KB
testcase_45 AC 47 ms
49,332 KB
testcase_46 AC 47 ms
49,376 KB
testcase_47 AC 46 ms
49,180 KB
testcase_48 AC 48 ms
49,232 KB
testcase_49 AC 47 ms
49,344 KB
testcase_50 AC 46 ms
49,260 KB
testcase_51 AC 47 ms
49,220 KB
testcase_52 AC 47 ms
49,348 KB
testcase_53 AC 47 ms
49,092 KB
testcase_54 AC 47 ms
49,140 KB
testcase_55 AC 124 ms
56,096 KB
testcase_56 AC 88 ms
54,220 KB
testcase_57 AC 145 ms
58,636 KB
testcase_58 AC 111 ms
54,524 KB
testcase_59 AC 145 ms
56,500 KB
testcase_60 AC 108 ms
54,540 KB
testcase_61 AC 144 ms
58,724 KB
testcase_62 AC 135 ms
58,632 KB
testcase_63 AC 130 ms
58,536 KB
testcase_64 AC 125 ms
56,780 KB
testcase_65 AC 137 ms
58,404 KB
testcase_66 AC 147 ms
58,544 KB
testcase_67 AC 131 ms
57,832 KB
testcase_68 AC 140 ms
56,368 KB
testcase_69 AC 130 ms
58,360 KB
testcase_70 AC 136 ms
56,564 KB
testcase_71 AC 124 ms
56,364 KB
testcase_72 AC 140 ms
58,368 KB
testcase_73 AC 138 ms
58,484 KB
testcase_74 AC 125 ms
56,356 KB
testcase_75 AC 146 ms
58,956 KB
testcase_76 AC 131 ms
56,440 KB
testcase_77 AC 136 ms
54,340 KB
testcase_78 AC 131 ms
56,776 KB
testcase_79 AC 137 ms
54,620 KB
testcase_80 AC 148 ms
58,468 KB
testcase_81 AC 139 ms
58,520 KB
testcase_82 AC 131 ms
56,420 KB
testcase_83 AC 134 ms
56,584 KB
testcase_84 AC 131 ms
56,596 KB
testcase_85 AC 81 ms
51,604 KB
testcase_86 AC 129 ms
56,472 KB
testcase_87 AC 135 ms
56,304 KB
testcase_88 AC 113 ms
54,540 KB
testcase_89 AC 137 ms
56,516 KB
testcase_90 AC 110 ms
54,644 KB
testcase_91 AC 144 ms
56,276 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

diff #

package contest;
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 N409 {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		int n = ni();
		long a = ni(), b = ni(), w = ni();
		int[] d = Arrays.copyOf(na(n), n+1);
		long[] dp = new long[n+2];
		dp[0] = w;
		// dp+b(x-t)(x-t-1)/2-a(x-t)
		// b/2*x^2+x((-bt-bt+b)/2-a)+dp+bt(t+1)/2+at
		
		if(b == 0){
			out.println(w-(long)a*n);
			return;
		}
		
		int[] q = new int[n+2];
		long[] qw = new long[n+2];
		int qp = 0;
		for(int i = 1;i <= n+1;i++){
			int x = i-1;
			long B = -b*x;
			long C = dp[x] + b*x*(x+1)/2+a*x;
			long lwhen = Long.MIN_VALUE;
			while(qp > 0){
				int lx = q[qp-1];
				long LB = -b*lx;
				long LC = dp[lx] + b*lx*(lx+1)/2+a*lx;
				// B*x+C <= LB*x+LC
				long when = (C-LC+(LB-B-1))/(LB-B);
				if(qw[qp-1] >= when){
					qp--;
				}else{
					lwhen = when;
					break;
				}
			}
			q[qp] = x;
			qw[qp] = lwhen;
			qp++;
			int ind = Arrays.binarySearch(qw, 0, qp, i);
			if(ind < 0)ind = -ind-2;
			x = q[ind];
			
			long val = dp[x] + b*(i-x)*(i-x-1)/2 - a*(i-x-1);
			dp[i] = val + d[i-1];
		}
		out.println(dp[n+1]);
	}
	
	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 N409().run(); }
	
	private byte[] inbuf = new byte[1024];
	private 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)); }
}
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