結果

問題 No.2009 Drunkers' Contest
ユーザー Yu_212Yu_212
提出日時 2022-07-15 22:00:41
言語 Java21
(openjdk 21)
結果
AC  
実行時間 272 ms / 2,000 ms
コード長 10,594 bytes
コンパイル時間 5,755 ms
コンパイル使用メモリ 95,740 KB
実行使用メモリ 73,164 KB
最終ジャッジ日時 2023-09-10 01:47:57
合計ジャッジ時間 18,872 ms
ジャッジサーバーID
(参考情報)
judge11 / judge14
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 120 ms
55,456 KB
testcase_01 AC 122 ms
56,032 KB
testcase_02 AC 123 ms
55,708 KB
testcase_03 AC 123 ms
55,928 KB
testcase_04 AC 124 ms
56,032 KB
testcase_05 AC 124 ms
55,748 KB
testcase_06 AC 125 ms
55,628 KB
testcase_07 AC 123 ms
55,428 KB
testcase_08 AC 122 ms
55,668 KB
testcase_09 AC 122 ms
55,624 KB
testcase_10 AC 123 ms
55,996 KB
testcase_11 AC 123 ms
55,660 KB
testcase_12 AC 121 ms
55,600 KB
testcase_13 AC 123 ms
55,452 KB
testcase_14 AC 132 ms
55,560 KB
testcase_15 AC 130 ms
54,020 KB
testcase_16 AC 130 ms
55,808 KB
testcase_17 AC 133 ms
55,748 KB
testcase_18 AC 134 ms
56,040 KB
testcase_19 AC 135 ms
55,828 KB
testcase_20 AC 137 ms
55,800 KB
testcase_21 AC 136 ms
55,868 KB
testcase_22 AC 138 ms
56,004 KB
testcase_23 AC 138 ms
56,224 KB
testcase_24 AC 249 ms
60,976 KB
testcase_25 AC 251 ms
60,588 KB
testcase_26 AC 246 ms
60,596 KB
testcase_27 AC 240 ms
60,444 KB
testcase_28 AC 247 ms
60,348 KB
testcase_29 AC 238 ms
60,552 KB
testcase_30 AC 250 ms
60,540 KB
testcase_31 AC 247 ms
60,908 KB
testcase_32 AC 247 ms
60,484 KB
testcase_33 AC 246 ms
60,928 KB
testcase_34 AC 245 ms
60,476 KB
testcase_35 AC 252 ms
60,632 KB
testcase_36 AC 241 ms
60,732 KB
testcase_37 AC 265 ms
60,572 KB
testcase_38 AC 254 ms
60,608 KB
testcase_39 AC 250 ms
60,600 KB
testcase_40 AC 249 ms
60,656 KB
testcase_41 AC 240 ms
60,752 KB
testcase_42 AC 245 ms
60,676 KB
testcase_43 AC 233 ms
60,572 KB
testcase_44 AC 246 ms
60,608 KB
testcase_45 AC 242 ms
60,684 KB
testcase_46 AC 249 ms
60,820 KB
testcase_47 AC 239 ms
67,336 KB
testcase_48 AC 240 ms
67,516 KB
testcase_49 AC 268 ms
73,164 KB
testcase_50 AC 247 ms
70,216 KB
testcase_51 AC 246 ms
70,452 KB
testcase_52 AC 252 ms
70,344 KB
testcase_53 AC 243 ms
65,204 KB
testcase_54 AC 252 ms
65,068 KB
testcase_55 AC 243 ms
60,780 KB
testcase_56 AC 242 ms
60,592 KB
testcase_57 AC 272 ms
66,148 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 #

import java.io.*;
import java.util.*;
import java.util.function.IntUnaryOperator;
import java.util.function.LongUnaryOperator;
import java.util.stream.Collectors;

public class Main {
    static In in = new FastIn();
    static Out out = new Out(false);
    static final long inf = 0x1fffffffffffffffL;
    static final int iinf = 0x3fffffff;
    static final double eps = 1e-9;
    static long mod = 998244353;

    void solve() {
        class Sec {
            final int l, r;
            final double y;
            final double as;
            final double bs;

            public Sec(int l, int r, double y, double as, double bs) {
                this.l = l;
                this.r = r;
                this.y = y;
                this.as = as;
                this.bs = bs;
            }

            Sec merge(Sec o) {
                double y = Math.max(1, Math.sqrt((as + o.as) / (bs + o.bs)));
                return new Sec(l, o.r, y, as + o.as, bs + o.bs);
            }
        }
        int n = in.nextInt();
        long[] a = in.nextLongArray(n);
        long[] b = in.nextLongArray(n);
        List<Sec> ys = new ArrayList<>();
        for (int i = n - 1; i >= 0; i--) {
            double y = Math.max(1, Math.sqrt((double)a[i] / b[i]));
            Sec sec = new Sec(i, i + 1, y, a[i], b[i]);
            while (!ys.isEmpty()) {
                Sec s = ys.get(ys.size() - 1);
                if (sec.y < s.y) {
                    break;
                }
                sec = sec.merge(s);
                ys.remove(ys.size() - 1);
            }
            ys.add(sec);
        }
        double ans = 0;
        for (Sec sec : ys) {
            ans += sec.as / sec.y + sec.bs * sec.y;
        }
        out.println(ans);
    }

    public static void main(String... args) {
        new Main().solve();
        out.flush();
    }
}

class FastIn extends In {
    private final BufferedInputStream reader = new BufferedInputStream(System.in);
    private final byte[] buffer = new byte[0x10000];
    private int i = 0;
    private int length = 0;

    public int read() {
        if (i == length) {
            i = 0;
            try {
                length = reader.read(buffer);
            } catch (IOException ignored) {
            }
            if (length == -1) {
                return 0;
            }
        }
        if (length <= i) {
            throw new RuntimeException();
        }
        return buffer[i++];
    }

    String next() {
        StringBuilder builder = new StringBuilder();
        int b = read();
        while (b < '!' || '~' < b) {
            b = read();
        }
        while ('!' <= b && b <= '~') {
            builder.appendCodePoint(b);
            b = read();
        }
        return builder.toString();
    }

    String nextLine() {
        StringBuilder builder = new StringBuilder();
        int b = read();
        while (b != 0 && b != '\r' && b != '\n') {
            builder.appendCodePoint(b);
            b = read();
        }
        if (b == '\r') {
            read();
        }
        return builder.toString();
    }

    int nextInt() {
        long val = nextLong();
        if ((int)val != val) {
            throw new NumberFormatException();
        }
        return (int)val;
    }

    long nextLong() {
        int b = read();
        while (b < '!' || '~' < b) {
            b = read();
        }
        boolean neg = false;
        if (b == '-') {
            neg = true;
            b = read();
        }
        long n = 0;
        int c = 0;
        while ('0' <= b && b <= '9') {
            n = n * 10 + b - '0';
            b = read();
            c++;
        }
        if (c == 0 || c >= 2 && n == 0) {
            throw new NumberFormatException();
        }
        return neg ? -n : n;
    }
}

class In {
    private final BufferedReader reader = new BufferedReader(new InputStreamReader(System.in), 0x10000);
    private StringTokenizer tokenizer;

    String next() {
        try {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                tokenizer = new StringTokenizer(reader.readLine());
            }
        } catch (IOException ignored) {
        }
        return tokenizer.nextToken();
    }

    int nextInt() {
        return Integer.parseInt(next());
    }

    long nextLong() {
        return Long.parseLong(next());
    }

    double nextDouble() {
        return Double.parseDouble(next());
    }

    char[] nextCharArray() {
        return next().toCharArray();
    }

    String[] nextStringArray(int n) {
        String[] s = new String[n];
        for (int i = 0; i < n; i++) {
            s[i] = next();
        }
        return s;
    }

    char[][] nextCharGrid(int n, int m) {
        char[][] a = new char[n][m];
        for (int i = 0; i < n; i++) {
            a[i] = next().toCharArray();
        }
        return a;
    }

    int[] nextIntArray(int n) {
        int[] a = new int[n];
        for (int i = 0; i < n; i++) {
            a[i] = nextInt();
        }
        return a;
    }

    int[] nextIntArray(int n, IntUnaryOperator op) {
        int[] a = new int[n];
        for (int i = 0; i < n; i++) {
            a[i] = op.applyAsInt(nextInt());
        }
        return a;
    }

    int[][] nextIntMatrix(int h, int w) {
        int[][] a = new int[h][w];
        for (int i = 0; i < h; i++) {
            a[i] = nextIntArray(w);
        }
        return a;
    }

    long[] nextLongArray(int n) {
        long[] a = new long[n];
        for (int i = 0; i < n; i++) {
            a[i] = nextLong();
        }
        return a;
    }

    long[] nextLongArray(int n, LongUnaryOperator op) {
        long[] a = new long[n];
        for (int i = 0; i < n; i++) {
            a[i] = op.applyAsLong(nextLong());
        }
        return a;
    }

    long[][] nextLongMatrix(int h, int w) {
        long[][] a = new long[h][w];
        for (int i = 0; i < h; i++) {
            a[i] = nextLongArray(w);
        }
        return a;
    }

    List<List<Integer>> nextEdges(int n, int m, boolean directed) {
        List<List<Integer>> res = new ArrayList<>();
        for (int i = 0; i < n; i++) {
            res.add(new ArrayList<>());
        }
        for (int i = 0; i < m; i++) {
            int u = nextInt() - 1;
            int v = nextInt() - 1;
            res.get(u).add(v);
            if (!directed) {
                res.get(v).add(u);
            }
        }
        return res;
    }
}

class Out {
    private final PrintWriter out = new PrintWriter(System.out);
    private final PrintWriter err = new PrintWriter(System.err);
    boolean autoFlush = false;
    boolean enableDebug;

    Out(boolean enableDebug) {
        this.enableDebug = enableDebug;
    }

    void println(Object... args) {
        if (args == null || args.getClass() != Object[].class) {
            args = new Object[] {args};
        }
        out.println(Arrays.stream(args).map(obj -> {
            Class<?> clazz = obj == null ? null : obj.getClass();
            return clazz == Double.class ? String.format("%.10f", obj) :
                    clazz == byte[].class ? Arrays.toString((byte[])obj) :
                            clazz == short[].class ? Arrays.toString((short[])obj) :
                                    clazz == int[].class ? Arrays.toString((int[])obj) :
                                            clazz == long[].class ? Arrays.toString((long[])obj) :
                                                    clazz == char[].class ? Arrays.toString((char[])obj) :
                                                            clazz == float[].class ? Arrays.toString((float[])obj) :
                                                                    clazz == double[].class ? Arrays.toString((double[])obj) :
                                                                            clazz == boolean[].class ? Arrays.toString((boolean[])obj) :
                                                                                    obj instanceof Object[] ? Arrays.deepToString((Object[])obj) :
                                                                                            String.valueOf(obj);
        }).collect(Collectors.joining(" ")));
        if (autoFlush) {
            out.flush();
        }
    }

    void debug(Object... args) {
        if (!enableDebug) {
            return;
        }
        if (args == null || args.getClass() != Object[].class) {
            args = new Object[] {args};
        }
        err.println(Arrays.stream(args).map(obj -> {
            Class<?> clazz = obj == null ? null : obj.getClass();
            return clazz == Double.class ? String.format("%.10f", obj) :
                    clazz == byte[].class ? Arrays.toString((byte[])obj) :
                            clazz == short[].class ? Arrays.toString((short[])obj) :
                                    clazz == int[].class ? Arrays.toString((int[])obj) :
                                            clazz == long[].class ? Arrays.toString((long[])obj) :
                                                    clazz == char[].class ? Arrays.toString((char[])obj) :
                                                            clazz == float[].class ? Arrays.toString((float[])obj) :
                                                                    clazz == double[].class ? Arrays.toString((double[])obj) :
                                                                            clazz == boolean[].class ? Arrays.toString((boolean[])obj) :
                                                                                    obj instanceof Object[] ? Arrays.deepToString((Object[])obj) :
                                                                                            String.valueOf(obj);
        }).collect(Collectors.joining(" ")));
        err.flush();
    }

    void println(char[] s) {
        out.println(String.valueOf(s));
        if (autoFlush) {
            out.flush();
        }
    }

    void println(int[] a) {
        StringJoiner joiner = new StringJoiner(" ");
        for (int i : a) {
            joiner.add(Integer.toString(i));
        }
        out.println(joiner);
        if (autoFlush) {
            out.flush();
        }
    }

    void println(long[] a) {
        StringJoiner joiner = new StringJoiner(" ");
        for (long i : a) {
            joiner.add(Long.toString(i));
        }
        out.println(joiner);
        if (autoFlush) {
            out.flush();
        }
    }

    void flush() {
        err.flush();
        out.flush();
    }
}
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