#793833 (Java21) No.2067 ±2^k operations

• 問題: No.2067 ±2^k operations
• ユーザー: 遭難者
• 提出日時: 2022-08-29 09:21:37
• 言語: Java21 (openjdk 21)
• 結果: AC
• 実行時間: 669 ms / 2,000 ms
• コード長: 22,836 bytes
• コンパイル時間: 3,587 ms
• コンパイル使用メモリ: 93,596 KB
• 実行使用メモリ: 76,360 KB
• 最終ジャッジ日時: 2024-11-06 08:24:59
• 合計ジャッジ時間: 13,831 ms
• ジャッジサーバーID （参考情報）: judge1 / judge5

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	57 ms; 51,980 KB
testcase_01	AC	243 ms; 59,740 KB
testcase_02	AC	258 ms; 65,448 KB
testcase_03	AC	219 ms; 63,164 KB
testcase_04	AC	220 ms; 59,576 KB
testcase_05	AC	221 ms; 59,268 KB
testcase_06	AC	166 ms; 59,336 KB
testcase_07	AC	387 ms; 60,012 KB
testcase_08	AC	407 ms; 60,176 KB
testcase_09	AC	502 ms; 71,092 KB
testcase_10	AC	351 ms; 60,244 KB
testcase_11	AC	669 ms; 74,764 KB
testcase_12	AC	342 ms; 59,664 KB
testcase_13	AC	389 ms; 60,260 KB
testcase_14	AC	398 ms; 60,260 KB
testcase_15	AC	475 ms; 72,512 KB
testcase_16	AC	512 ms; 71,248 KB
testcase_17	AC	368 ms; 60,276 KB
testcase_18	AC	309 ms; 59,736 KB
testcase_19	AC	90 ms; 53,524 KB
testcase_20	AC	92 ms; 56,776 KB
testcase_21	AC	122 ms; 55,796 KB
testcase_22	AC	505 ms; 63,280 KB
testcase_23	AC	570 ms; 76,360 KB

ソースコード

import java.util.*;
import java.io.*;

class Main {
    private static final void solve() throws IOException {
        f.clear();
        long n = nl();
        ou.println(calc(n + 1).ans);
    }

    private static HashMap<Long, Long> f = new HashMap<>();

    private static final long f(long n) {
        if (n <= 1)
            return n;
        if (f.containsKey(n))
            return f.get(n);
        long ans = (n & 1) == 1 ? Math.min(f((n + 1) >> 1), f((n - 1) >> 1)) + 1 : f(n >> 1);
        f.put(n, ans);
        return ans;
    }

    private static final Point calc(long n) {
        if (n == 0)
            return new Point(0L, 0L, 0L, 0L);
        if ((n & 1) == 0) {
            var p = calc(n >> 1);
            long ans = (p.ans << 1) + p.a + p.b;
            long a = p.a + p.b;
            long b = p.a + p.c;
            long c = p.b + p.c;
            return new Point(ans, a, b, c);
        }
        var p = calc(n - 1);
        long x = f(n - 1), y = f(n);
        p.ans += x;
        if (x < y)
            p.a++;
        else if (x > y)
            p.c++;
        else
            p.b++;
        return p;
    }

    private static final class Point {
        long ans, a, b, c;

        Point(long ans, long a, long b, long c) {
            this.ans = ans;
            this.a = a;
            this.b = b;
            this.c = c;
        }
    }

    public static void main(String[] args) throws IOException {
        int t = ni();
        for (int i = 0; i < t; i++)
            solve();
        ou.flush();
    }

    private static final int ni() throws IOException {
        return sc.nextInt();
    }

    private static final int[] ni(int n) throws IOException {
        return sc.nextIntArray(n);
    }

    private static final long nl() throws IOException {
        return sc.nextLong();
    }

    private static final long[] nl(int n) throws IOException {
        return sc.nextLongArray(n);
    }

    private static final String ns() throws IOException {
        return sc.next();
    }

    private static final ContestInputStream sc = new ContestInputStream();
    private static final ContestOutputStream ou = new ContestOutputStream();
}

class DSU {
    private int n;
    private int[] parentOrSize;

    public DSU(int n) {
        this.n = n;
        this.parentOrSize = new int[n];
        java.util.Arrays.fill(parentOrSize, -1);
    }

    int merge(int a, int b) {
        if (!(0 <= a && a < n))
            throw new IndexOutOfBoundsException("a=" + a);
        if (!(0 <= b && b < n))
            throw new IndexOutOfBoundsException("b=" + b);

        int x = leader(a);
        int y = leader(b);
        if (x == y)
            return x;
        if (-parentOrSize[x] < -parentOrSize[y]) {
            int tmp = x;
            x = y;
            y = tmp;
        }
        parentOrSize[x] += parentOrSize[y];
        parentOrSize[y] = x;
        return x;
    }

    boolean same(int a, int b) {
        if (!(0 <= a && a < n))
            throw new IndexOutOfBoundsException("a=" + a);
        if (!(0 <= b && b < n))
            throw new IndexOutOfBoundsException("b=" + b);
        return leader(a) == leader(b);
    }

    int leader(int a) {
        if (parentOrSize[a] < 0) {
            return a;
        } else {
            parentOrSize[a] = leader(parentOrSize[a]);
            return parentOrSize[a];
        }
    }

    int size(int a) {
        if (!(0 <= a && a < n))
            throw new IndexOutOfBoundsException("" + a);
        return -parentOrSize[leader(a)];
    }

    ArrayList<ArrayList<Integer>> groups() {
        int[] leaderBuf = new int[n];
        int[] groupSize = new int[n];
        for (int i = 0; i < n; i++) {
            leaderBuf[i] = leader(i);
            groupSize[leaderBuf[i]]++;
        }
        ArrayList<ArrayList<Integer>> result = new ArrayList<>(n);
        for (int i = 0; i < n; i++)
            result.add(new ArrayList<>(groupSize[i]));
        for (int i = 0; i < n; i++)
            result.get(leaderBuf[i]).add(i);
        result.removeIf(ArrayList::isEmpty);
        return result;
    }
}

class LCA {
    private int log_n;
    private ArrayList<ArrayList<Integer>> g;
    private int[][] parent;
    private int[] depth;

    LCA(int n, ArrayList<ArrayList<Integer>> g) {
        this.g = g;
        int c = 0;
        int nn = 1;
        while (nn <= n) {
            c++;
            nn <<= 1;
        }
        log_n = c;
        parent = new int[log_n][n];
        depth = new int[n];
        dfs(0, -1, 0);
        for (int k = 1; k < log_n; k++)
            for (int v = 0; v < n; v++)
                parent[k][v] = parent[k - 1][v] < 0 ? -1 : parent[k - 1][parent[k - 1][v]];
    }

    void dfs(int v, int p, int d) {
        parent[0][v] = p;
        depth[v] = d;
        for (int i : g.get(v)) {
            if (i != p)
                dfs(i, v, d + 1);
        }
    }

    int lca(int u, int v) {
        if (depth[u] > depth[v]) {
            int tmp = u;
            u = v;
            v = tmp;
        }
        for (int k = 0; k < log_n; k++)
            if (((depth[v] - depth[u]) >> k & 1) == 1)
                v = parent[k][v];
        if (u == v)
            return u;
        for (int k = log_n - 1; k >= 0; k--) {
            if (parent[k][u] != parent[k][v]) {
                u = parent[k][u];
                v = parent[k][v];
            }
        }
        return parent[0][u];
    }

    int dist(int u, int v) {
        return depth[u] + depth[v] - 2 * depth[lca(u, v)];
    }
}

final class ContestInputStream extends FilterInputStream {
    protected final byte[] buf;
    protected int pos = 0;
    protected int lim = 0;
    private final char[] cbuf;

    public ContestInputStream() {
        super(System.in);
        this.buf = new byte[1 << 13];
        this.cbuf = new char[1 << 20];
    }

    boolean hasRemaining() throws IOException {
        if (pos < lim)
            return true;
        lim = in.read(buf);
        pos = 0;
        return lim > 0;
    }

    final int remaining() throws IOException {
        if (pos >= lim) {
            lim = in.read(buf);
            pos = 0;
        }
        return lim - pos;
    }

    @Override
    public final int available() throws IOException {
        if (pos < lim)
            return lim - pos + in.available();
        return in.available();
    }

    @Override
    public final long skip(long n) throws IOException {
        if (pos < lim) {
            int rem = lim - pos;
            if (n < rem) {
                pos += n;
                return n;
            }
            pos = lim;
            return rem;
        }
        return in.skip(n);
    }

    @Override
    public final int read() throws IOException {
        if (hasRemaining())
            return buf[pos++];
        return -1;
    }

    @Override
    public final int read(byte[] b, int off, int len) throws IOException {
        if (pos < lim) {
            int rem = Math.min(lim - pos, len);
            for (int i = 0; i < rem; i++)
                b[off + i] = buf[pos + i];
            pos += rem;
            return rem;
        }
        return in.read(b, off, len);
    }

    public final char[] readToken() throws IOException {
        int cpos = 0;
        int rem;
        int i;
        byte b;
        l: while ((rem = remaining()) > 0) {
            for (i = 0; i < rem; i++) {
                b = buf[pos + i];
                if (b <= 0x20) {
                    pos += i + 1;
                    cpos += i;
                    break l;
                }
                cbuf[cpos + i] = (char) b;
            }
            pos += rem;
            cpos += rem;
        }
        char[] arr = new char[cpos];
        for (i = 0; i < cpos; i++)
            arr[i] = cbuf[i];
        return arr;
    }

    public final int readToken(char[] cbuf, int off) throws IOException {
        int cpos = off;
        int rem;
        int i;
        byte b;
        l: while ((rem = remaining()) > 0) {
            for (i = 0; i < rem; i++) {
                b = buf[pos + i];
                if (b <= 0x20) {
                    pos += i + 1;
                    cpos += i;
                    break l;
                }
                cbuf[cpos + i] = (char) b;
            }
            pos += rem;
            cpos += rem;
        }
        return cpos - off;
    }

    public final int readToken(char[] cbuf) throws IOException {
        return readToken(cbuf, 0);
    }

    public final String next() throws IOException {
        int cpos = 0;
        int rem;
        int i;
        byte b;
        l: while ((rem = remaining()) > 0) {
            for (i = 0; i < rem; i++) {
                b = buf[pos + i];
                if (b <= 0x20) {
                    pos += i + 1;
                    cpos += i;
                    break l;
                }
                cbuf[cpos + i] = (char) b;
            }
            pos += rem;
            cpos += rem;
        }
        return String.valueOf(cbuf, 0, cpos);
    }

    public final int nextInt() throws IOException {
        if (!hasRemaining())
            return 0;
        int value = 0;
        byte b = buf[pos++];
        if (b == 0x2d) {
            while (hasRemaining() && (b = buf[pos++]) > 0x20)
                value = value * 10 - b + 0x30;
        } else {
            do {
                value = value * 10 + b - 0x30;
            } while (hasRemaining() && (b = buf[pos++]) > 0x20);
        }
        return value;
    }

    public final long nextLong() throws IOException {
        if (!hasRemaining())
            return 0L;
        long value = 0L;
        byte b = buf[pos++];
        if (b == 0x2d) {
            while (hasRemaining() && (b = buf[pos++]) > 0x20)
                value = value * 10 - b + 0x30;
        } else {
            do {
                value = value * 10 + b - 0x30;
            } while (hasRemaining() && (b = buf[pos++]) > 0x20);
        }
        return value;
    }

    public final float nextFloat() throws IOException {
        return Float.parseFloat(next());
    }

    public final double nextDouble() throws IOException {
        return Double.parseDouble(next());
    }

    public final boolean[] nextBooleanArray(char ok) throws IOException {
        char[] s = next().toCharArray();
        int n = s.length;
        boolean[] t = new boolean[n];
        for (int i = 0; i < n; i++)
            t[i] = s[i] == ok;
        return t;
    }

    public final boolean[][] nextBooleanMatrix(int h, int w, char ok) throws IOException {
        boolean[][] s = new boolean[h][];
        for (int i = 0; i < h; i++) {
            char[] t = next().toCharArray();
            int n = t.length;
            s[i] = new boolean[n];
            for (int j = 0; j < n; j++)
                s[i][j] = t[j] == ok;
        }
        return s;
    }

    public final String[] nextStringArray(int len) throws IOException {
        String[] arr = new String[len];
        for (int i = 0; i < len; i++)
            arr[i] = next();
        return arr;
    }

    public final int[] nextIntArray(int len) throws IOException {
        int[] arr = new int[len];
        for (int i = 0; i < len; i++)
            arr[i] = nextInt();
        return arr;
    }

    public final int[] nextIntArray(int len, java.util.function.IntUnaryOperator map) throws IOException {
        int[] arr = new int[len];
        for (int i = 0; i < len; i++)
            arr[i] = map.applyAsInt(nextInt());
        return arr;
    }

    public final long[] nextLongArray(int len, java.util.function.LongUnaryOperator map) throws IOException {
        long[] arr = new long[len];
        for (int i = 0; i < len; i++)
            arr[i] = map.applyAsLong(nextLong());
        return arr;
    }

    public final int[][] nextIntMatrix(int h, int w) throws IOException {
        int[][] arr = new int[h][w];
        for (int i = 0; i < h; i++)
            for (int j = 0; j < w; j++)
                arr[i][j] = nextInt();
        return arr;
    }

    public final int[][] nextIntMatrix(int h, int w, java.util.function.IntUnaryOperator map) throws IOException {
        int[][] arr = new int[h][w];
        for (int i = 0; i < h; i++)
            for (int j = 0; j < w; j++)
                arr[i][j] = map.applyAsInt(nextInt());
        return arr;
    }

    public final long[] nextLongArray(int len) throws IOException {
        long[] arr = new long[len];
        for (int i = 0; i < len; i++)
            arr[i] = nextLong();
        return arr;
    }

    public final long[][] nextLongMatrix(int h, int w) throws IOException {
        long[][] arr = new long[h][w];
        for (int i = 0; i < h; i++)
            for (int j = 0; j < w; j++)
                arr[i][j] = nextLong();
        return arr;
    }

    public final float[] nextFloatArray(int len) throws IOException {
        float[] arr = new float[len];
        for (int i = 0; i < len; i++)
            arr[i] = nextFloat();
        return arr;
    }

    public final double[] nextDoubleArray(int len) throws IOException {
        double[] arr = new double[len];
        for (int i = 0; i < len; i++)
            arr[i] = nextDouble();
        return arr;
    }

    public final char[][] nextCharMatrix(int h, int w) throws IOException {
        char[][] arr = new char[h][];
        for (int i = 0; i < h; i++)
            arr[i] = next().toCharArray();
        return arr;
    }

    public final void nextThrow() throws IOException {
        next();
        return;
    }

    public final void nextThrow(int n) throws IOException {
        for (int i = 0; i < n; i++)
            nextThrow();
        return;
    }
}

final class ContestOutputStream extends FilterOutputStream implements Appendable {
    protected final byte[] buf;
    protected int pos = 0;

    public ContestOutputStream() {
        super(System.out);
        this.buf = new byte[1 << 13];
    }

    @Override
    public void flush() throws IOException {
        out.write(buf, 0, pos);
        pos = 0;
        out.flush();
    }

    void put(byte b) throws IOException {
        if (pos >= buf.length)
            flush();
        buf[pos++] = b;
    }

    int remaining() throws IOException {
        if (pos >= buf.length)
            flush();
        return buf.length - pos;
    }

    @Override
    public void write(int b) throws IOException {
        put((byte) b);
    }

    @Override
    public void write(byte[] b, int off, int len) throws IOException {
        int o = off;
        int l = len;
        while (l > 0) {
            int rem = Math.min(remaining(), l);
            for (int i = 0; i < rem; i++)
                buf[pos + i] = b[o + i];
            pos += rem;
            o += rem;
            l -= rem;
        }
    }

    @Override
    public ContestOutputStream append(char c) throws IOException {
        put((byte) c);
        return this;
    }

    @Override
    public ContestOutputStream append(CharSequence csq, int start, int end) throws IOException {
        int off = start;
        int len = end - start;
        while (len > 0) {
            int rem = Math.min(remaining(), len);
            for (int i = 0; i < rem; i++)
                buf[pos + i] = (byte) csq.charAt(off + i);
            pos += rem;
            off += rem;
            len -= rem;
        }
        return this;
    }

    @Override
    public ContestOutputStream append(CharSequence csq) throws IOException {
        return append(csq, 0, csq.length());
    }

    public ContestOutputStream append(char[] arr, int off, int len) throws IOException {
        int o = off;
        int l = len;
        while (l > 0) {
            int rem = Math.min(remaining(), l);
            for (int i = 0; i < rem; i++)
                buf[pos + i] = (byte) arr[o + i];
            pos += rem;
            o += rem;
            l -= rem;
        }

        return this;
    }

    public ContestOutputStream print(char[] arr) throws IOException {
        return append(arr, 0, arr.length).newLine();
    }

    public ContestOutputStream print(boolean value) throws IOException {
        if (value)
            return append("o");
        return append("x");
    }

    public ContestOutputStream println(boolean value) throws IOException {
        if (value)
            return append("o\n");
        return append("x\n");
    }

    public ContestOutputStream print(boolean[][] value) throws IOException {
        final int n = value.length, m = value[0].length;
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++)
                print(value[i][j]);
            newLine();
        }
        return this;
    }

    public ContestOutputStream print(int value) throws IOException {
        return append(String.valueOf(value));
    }

    public ContestOutputStream println(int value) throws IOException {
        return append(String.valueOf(value)).newLine();
    }

    public ContestOutputStream print(long value) throws IOException {
        return append(String.valueOf(value));
    }

    public ContestOutputStream println(long value) throws IOException {
        return append(String.valueOf(value)).newLine();
    }

    public ContestOutputStream print(float value) throws IOException {
        return append(String.valueOf(value));
    }

    public ContestOutputStream println(float value) throws IOException {
        return append(String.valueOf(value)).newLine();
    }

    public ContestOutputStream print(double value) throws IOException {
        return append(String.valueOf(value));
    }

    public ContestOutputStream println(double value) throws IOException {
        return append(String.valueOf(value)).newLine();
    }

    public ContestOutputStream print(char value) throws IOException {
        return append(String.valueOf(value));
    }

    public ContestOutputStream println(char value) throws IOException {
        return append(String.valueOf(value)).newLine();
    }

    public ContestOutputStream print(String value) throws IOException {
        return append(String.valueOf(value));
    }

    public ContestOutputStream println(String value) throws IOException {
        return append(String.valueOf(value)).newLine();
    }

    public ContestOutputStream print(Object value) throws IOException {
        return append(String.valueOf(value));
    }

    public ContestOutputStream println(Object value) throws IOException {
        return append(String.valueOf(value)).newLine();
    }

    public ContestOutputStream printYN(boolean yes) throws IOException {
        if (yes)
            return println("Yes");
        return println("No");
    }

    public ContestOutputStream print(CharSequence[] arr) throws IOException {
        if (arr.length > 0) {
            append(arr[0]);
            for (int i = 1; i < arr.length; i++)
                append('\u0020').append(arr[i]);
        }
        return this;
    }

    public ContestOutputStream print(int[] arr) throws IOException {
        if (arr.length > 0) {
            print(arr[0]);
            for (int i = 1; i < arr.length; i++)
                append('\u0020').print(arr[i]);
        }
        newLine();
        return this;
    }

    public ContestOutputStream println(int[] arr) throws IOException {
        for (int i : arr)
            print(i).newLine();
        return this;
    }

    public ContestOutputStream print(boolean[] arr) throws IOException {
        if (arr.length > 0) {
            print(arr[0]);
            for (int i = 1; i < arr.length; i++)
                append('\u0020').print(arr[i]);
        }
        newLine();
        return this;
    }

    public ContestOutputStream print(long[] arr) throws IOException {
        if (arr.length > 0) {
            print(arr[0]);
            for (int i = 1; i < arr.length; i++)
                append('\u0020').print(arr[i]);
        }
        newLine();
        return this;
    }

    public ContestOutputStream println(long[] arr) throws IOException {
        for (long i : arr)
            print(i).newLine();
        return this;
    }

    public ContestOutputStream print(float[] arr) throws IOException {
        if (arr.length > 0) {
            print(arr[0]);
            for (int i = 1; i < arr.length; i++)
                append('\u0020').print(arr[i]);
        }
        return this;
    }

    public ContestOutputStream println(float[] arr) throws IOException {
        for (float i : arr)
            print(i).newLine();
        return this;
    }

    public ContestOutputStream print(double[] arr) throws IOException {
        if (arr.length > 0) {
            print(arr[0]);
            for (int i = 1; i < arr.length; i++)
                append('\u0020').print(arr[i]);
        }
        return newLine();
    }

    public ContestOutputStream println(double[] arr) throws IOException {
        for (double i : arr)
            print(i).newLine();
        return this;
    }

    public ContestOutputStream print(Object[] arr) throws IOException {
        if (arr.length > 0) {
            print(arr[0]);
            for (int i = 1; i < arr.length; i++)
                append('\u0020').print(arr[i]);
        }
        return newLine();
    }

    public ContestOutputStream print(java.util.ArrayList<?> arr) throws IOException {
        if (!arr.isEmpty()) {
            final int n = arr.size();
            print(arr.get(0));
            for (int i = 1; i < n; i++)
                print(" ").print(arr.get(i));
        }
        return newLine();
    }

    public ContestOutputStream println(java.util.ArrayList<?> arr) throws IOException {
        final int n = arr.size();
        for (int i = 0; i < n; i++)
            println(arr.get(i));
        return this;
    }

    public ContestOutputStream println(Object[] arr) throws IOException {
        for (Object i : arr)
            print(i).newLine();
        return this;
    }

    public ContestOutputStream newLine() throws IOException {
        return append('\n');
    }

    public ContestOutputStream endl() throws IOException {
        newLine().flush();
        return this;
    }

    public ContestOutputStream print(int[][] arr) throws IOException {
        for (int[] i : arr)
            print(i);
        return this;
    }

    public ContestOutputStream print(long[][] arr) throws IOException {
        for (long[] i : arr)
            print(i);
        return this;
    }

    public ContestOutputStream print(char[][] arr) throws IOException {
        for (char[] i : arr)
            print(i);
        return this;
    }

    public ContestOutputStream print(Object[][] arr) throws IOException {
        for (Object[] i : arr)
            print(i);
        return this;
    }

    public ContestOutputStream println() throws IOException {
        return newLine();
    }
}