結果

問題 No.2129 Perfect Binary Tree...?
ユーザー 遭難者遭難者
提出日時 2022-10-25 14:22:39
言語 Java21
(openjdk 21)
結果
AC  
実行時間 1,388 ms / 3,000 ms
コード長 32,064 bytes
コンパイル時間 3,451 ms
コンパイル使用メモリ 86,880 KB
実行使用メモリ 90,696 KB
最終ジャッジ日時 2023-09-22 10:35:18
合計ジャッジ時間 21,925 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
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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 45 ms
51,192 KB
testcase_01 AC 43 ms
51,336 KB
testcase_02 AC 44 ms
50,968 KB
testcase_03 AC 90 ms
58,652 KB
testcase_04 AC 114 ms
60,236 KB
testcase_05 AC 44 ms
51,152 KB
testcase_06 AC 344 ms
62,904 KB
testcase_07 AC 320 ms
67,072 KB
testcase_08 AC 733 ms
79,676 KB
testcase_09 AC 746 ms
77,792 KB
testcase_10 AC 44 ms
51,364 KB
testcase_11 AC 287 ms
59,944 KB
testcase_12 AC 758 ms
78,784 KB
testcase_13 AC 1,329 ms
88,260 KB
testcase_14 AC 765 ms
77,604 KB
testcase_15 AC 800 ms
80,248 KB
testcase_16 AC 1,311 ms
88,148 KB
testcase_17 AC 128 ms
58,404 KB
testcase_18 AC 84 ms
57,128 KB
testcase_19 AC 142 ms
60,948 KB
testcase_20 AC 153 ms
60,228 KB
testcase_21 AC 121 ms
60,444 KB
testcase_22 AC 137 ms
60,008 KB
testcase_23 AC 1,388 ms
90,696 KB
testcase_24 AC 1,351 ms
86,744 KB
testcase_25 AC 574 ms
68,920 KB
testcase_26 AC 92 ms
58,920 KB
testcase_27 AC 430 ms
64,944 KB
testcase_28 AC 763 ms
79,388 KB
testcase_29 AC 830 ms
87,184 KB
testcase_30 AC 1,383 ms
90,324 KB
testcase_31 AC 780 ms
79,864 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.util.*;
import java.io.*;

class Main {
    private static final void solve() throws IOException {
        final int n = ni(), nn = n << 1;
        final int mod = 998244353;
        var two = new long[nn + 1];
        two[0] = 1L;
        for (int i = 1; i <= nn; i++) {
            two[i] = two[i - 1] << 1;
            if (two[i] >= mod)
                two[i] -= mod;
        }
        var f = new long[n + 1];
        for (int i = 1; i <= n; i++) {
            f[i] = (i + 3) * two[i] + (i - 3) * two[i << 1];
            f[i] %= mod;
        }
        var g = new long[n + 1];
        for (int i = 1; i <= n; i++) {
            g[i] = (i - 2) * two[i] + 2;
            g[i] %= mod;
        }
        var u = sc.nextCharArray();
        var v = sc.nextCharArray();
        boolean same = u.length == v.length;
        for (int i = 0, max = Math.min(u.length, v.length); same && i < max; i++)
            same &= u[i] == v[i];
        if (same) {
            ou.println(f[n]);
            return;
        }
        int lca = 0;
        for (int i = 0, max = Math.min(u.length, v.length); i < max; i++) {
            if (u[i] != v[i])
                break;
            lca++;
        }
        final int m = u.length + v.length - 2 * lca + 1;
        var p = new int[m];
        p[0] = u.length;
        int cnt = 0;
        while (p[cnt] != lca) {
            p[cnt + 1] = p[cnt] - 1;
            cnt++;
        }
        final int lca_cnt = cnt;
        while (cnt != m - 1) {
            p[cnt + 1] = p[cnt] + 1;
            cnt++;
        }
        for (int i = 0; i < m; i++)
            p[i]--;
        var a = new long[m];
        a[0] = two[n - p[0]] - 1;
        a[m - 1] = two[n - p[m - 1]] - 1;
        a[lca_cnt] = 0L;
        for (int k = 1, d = p[lca_cnt]; k <= d; k++)
            a[lca_cnt] += two[n - k];
        if (lca_cnt == 0 || lca_cnt == m - 1)
            a[lca_cnt] += two[n - p[lca_cnt] - 1] - 1;
        a[lca_cnt]++;
        a[lca_cnt] %= mod;
        for (int i = 1; i < m - 1; i++) {
            if (i == lca_cnt)
                continue;
            a[i] = two[n - 1 - p[i]];
        }
        var b = new long[m];
        b[0] = g[n - p[0]];
        b[m - 1] = g[n - p[m - 1]];
        b[lca_cnt] = 0L;
        for (int k = 1, d = p[lca_cnt]; k <= d; k++)
            b[lca_cnt] += g[n - k] + (two[n - k] - 1) * (d + 2 - k) % mod + k;
        if (lca_cnt == 0 || lca_cnt == m - 1)
            b[lca_cnt] += g[n - p[lca_cnt] - 1] + two[n - p[lca_cnt] - 1] - 1;
        b[lca_cnt] %= mod;
        for (int i = 1; i < m - 1; i++) {
            if (i == lca_cnt)
                continue;
            b[i] = g[n - 1 - p[i]] + two[n - 1 - p[i]] - 1;
            b[i] %= mod;
        }
        var c = new long[m];
        c[0] = f[n - p[0]];
        c[m - 1] = f[n - p[m - 1]];
        c[lca_cnt] = 0L;
        for (int k = 1, d = p[lca_cnt]; k <= d; k++) {
            c[lca_cnt] += f[n - k];
            c[lca_cnt] += g[n - k] * (a[lca_cnt] - two[n - k] + 1) % mod;
            c[lca_cnt] += (two[n - k] - 1) * (a[lca_cnt] - two[n - k] + 1) % mod;
            c[lca_cnt] += (two[n] - two[n - k]) * (a[lca_cnt] - two[n] + two[n - k]) % mod;
            c[lca_cnt] %= mod;
        }
        if (lca_cnt == 0 || lca_cnt == m - 1) {
            c[lca_cnt] += f[n - p[lca_cnt] - 1];
            c[lca_cnt] += g[n - p[lca_cnt] - 1] * (a[lca_cnt] - two[n - p[lca_cnt] - 1] + 1) % mod;
            c[lca_cnt] += (two[n - p[lca_cnt] - 1] - 1) * (a[lca_cnt] - two[n - p[lca_cnt] - 1] + 1) % mod;
            c[lca_cnt] %= mod;
        }
        for (int i = 1; i < m - 1; i++) {
            if (i == lca_cnt)
                continue;
            c[i] = f[n - 1 - p[i]] + g[n - 1 - p[i]] + two[n - 1 - p[i]] - 1;
            c[i] %= mod;
        }
        long sum_a = 0L, sum_b = 0L, sum_c = 0L, sum_ab = 0L;
        for (long i : a)
            sum_a += i;
        sum_a %= mod;
        for (long i : b)
            sum_b += i;
        sum_b %= mod;
        for (long i : c)
            sum_c += i;
        sum_c %= mod;
        for (int i = 0; i < m; i++)
            sum_ab += a[i] * b[i] % mod;
        sum_ab %= mod;
        long ans = sum_c + sum_a * sum_b - sum_ab;
        ans %= mod;
        var aa = new long[m];
        for (int i = 0; i < m; i++)
            aa[m - 1 - i] = a[i];
        var tt = Convolution.convolution(a, aa, mod);
        long sum = 0L;
        for (int j = 1; j < m; j++)
            sum += Math.min(j, m - j) * (tt[m - 1 - j] + tt[2 * m - 1 - j]) % mod;
        sum %= mod;
        if (sum % 2 != 0)
            sum += mod;
        sum /= 2;
        ans += sum;
        ans %= mod;
        if (ans < 0)
            ans += mod;
        ou.println(ans);
    }

    public static void main(String[] args) throws IOException {
        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 Convolution {
    private static int primitiveRoot(int m) {
        if (m == 2)
            return 1;
        if (m == 167772161)
            return 3;
        if (m == 469762049)
            return 3;
        if (m == 754974721)
            return 11;
        if (m == 998244353)
            return 3;
        int[] divs = new int[20];
        divs[0] = 2;
        int cnt = 1;
        int x = (m - 1) >> 1;
        while ((x & 1) == 0)
            x >>= 1;
        for (int i = 3; i * (long) i <= x; i += 2) {
            if (x % i == 0) {
                divs[cnt++] = i;
                while (x % i == 0)
                    x /= i;
            }
        }
        if (x > 1)
            divs[cnt++] = x;
        for (int g = 2;; g++) {
            boolean ok = true;
            for (int i = 0; i < cnt; i++) {
                if (pow(g, (m - 1) / divs[i], m) == 1) {
                    ok = false;
                    break;
                }
            }
            if (ok)
                return g;
        }
    }

    private static long pow(long x, long n, int m) {
        if (m == 1)
            return 0;
        long r = 1;
        long y = x % m;
        while (n > 0) {
            if ((n & 1) != 0)
                r = (r * y) % m;
            y = (y * y) % m;
            n >>= 1;
        }
        return r;
    }

    private static int ceilPow2(int n) {
        int x = 0;
        while ((1L << x) < n)
            x++;
        return x;
    }

    private static long garner(long[] c, int[] mods) {
        int n = c.length + 1;
        long[] cnst = new long[n];
        long[] coef = new long[n];
        Arrays.fill(coef, 1);
        for (int i = 0; i < n - 1; i++) {
            int m1 = mods[i];
            long v = (c[i] - cnst[i] + m1) % m1;
            v = v * pow(coef[i], m1 - 2, m1) % m1;
            for (int j = i + 1; j < n; j++) {
                long m2 = mods[j];
                cnst[j] = (cnst[j] + coef[j] * v) % m2;
                coef[j] = coef[j] * m1 % m2;
            }
        }
        return cnst[n - 1];
    }

    private static long[] sumE(int mod, int g) {
        long[] sum_e = new long[30];
        long[] es = new long[30];
        long[] ies = new long[30];
        int cnt2 = Integer.numberOfTrailingZeros(mod - 1);
        long e = pow(g, (mod - 1) >> cnt2, mod);
        long ie = pow(e, mod - 2, mod);
        for (int i = cnt2; i >= 2; i--) {
            es[i - 2] = e;
            ies[i - 2] = ie;
            e = e * e % mod;
            ie = ie * ie % mod;
        }
        long now = 1;
        for (int i = 0; i < cnt2 - 2; i++) {
            sum_e[i] = es[i] * now % mod;
            now = now * ies[i] % mod;
        }
        return sum_e;
    }

    private static long[] sumIE(int mod, int g) {
        long[] sum_ie = new long[30];
        long[] es = new long[30];
        long[] ies = new long[30];
        int cnt2 = Integer.numberOfTrailingZeros(mod - 1);
        long e = pow(g, (mod - 1) >> cnt2, mod);
        long ie = pow(e, mod - 2, mod);
        for (int i = cnt2; i >= 2; i--) {
            es[i - 2] = e;
            ies[i - 2] = ie;
            e = e * e % mod;
            ie = ie * ie % mod;
        }
        long now = 1L;
        for (int i = 0; i < cnt2 - 2; i++) {
            sum_ie[i] = ies[i] * now % mod;
            now = now * es[i] % mod;
        }
        return sum_ie;
    }

    private static void butterflyInv(long[] a, long[] sumIE, int mod) {
        int n = a.length;
        int h = ceilPow2(n);
        for (int ph = h; ph >= 1; ph--) {
            int w = 1 << (ph - 1), p = 1 << (h - ph);
            long inow = 1;
            for (int s = 0; s < w; s++) {
                int offset = s << (h - ph + 1);
                for (int i = 0; i < p; i++) {
                    long l = a[i + offset];
                    long r = a[i + offset + p];
                    a[i + offset] = (l + r) % mod;
                    a[i + offset + p] = (mod + l - r) * inow % mod;
                }
                int x = Integer.numberOfTrailingZeros(~s);
                inow = inow * sumIE[x] % mod;
            }
        }
    }

    private static void butterfly(long[] a, long[] sumE, int mod) {
        int n = a.length;
        int h = ceilPow2(n);
        for (int ph = 1; ph <= h; ph++) {
            int w = 1 << (ph - 1), p = 1 << (h - ph);
            long now = 1;
            for (int s = 0; s < w; s++) {
                int offset = s << (h - ph + 1);
                for (int i = 0; i < p; i++) {
                    long l = a[i + offset];
                    long r = a[i + offset + p] * now % mod;
                    a[i + offset] = (l + r) % mod;
                    a[i + offset + p] = (l - r + mod) % mod;
                }
                int x = Integer.numberOfTrailingZeros(~s);
                now = now * sumE[x] % mod;
            }
        }
    }

    public static long[] convolution(long[] a, long[] b, int mod) {
        int n = a.length;
        int m = b.length;
        if (n == 0 || m == 0)
            return new long[0];
        int z = 1 << ceilPow2(n + m - 1);
        {
            long[] na = new long[z];
            long[] nb = new long[z];
            System.arraycopy(a, 0, na, 0, n);
            System.arraycopy(b, 0, nb, 0, m);
            a = na;
            b = nb;
        }
        int g = primitiveRoot(mod);
        long[] sume = sumE(mod, g);
        long[] sumie = sumIE(mod, g);
        butterfly(a, sume, mod);
        butterfly(b, sume, mod);
        for (int i = 0; i < z; i++)
            a[i] = a[i] * b[i] % mod;
        butterflyInv(a, sumie, mod);
        a = Arrays.copyOf(a, n + m - 1);
        long iz = pow(z, mod - 2, mod);
        for (int i = 0; i < n + m - 1; i++)
            a[i] = a[i] * iz % mod;
        return a;
    }

    public static long[] convolutionLL(long[] a, long[] b, int mod) {
        int n = a.length;
        int m = b.length;
        if (n == 0 || m == 0)
            return new long[0];
        int mod1 = 754974721;
        int mod2 = 167772161;
        int mod3 = 469762049;
        long[] c1 = convolution(a, b, mod1);
        long[] c2 = convolution(a, b, mod2);
        long[] c3 = convolution(a, b, mod3);
        int retSize = c1.length;
        long[] ret = new long[retSize];
        int[] mods = { mod1, mod2, mod3, mod };
        for (int i = 0; i < retSize; ++i)
            ret[i] = garner(new long[] { c1[i], c2[i], c3[i] }, mods);
        return ret;
    }

    public static long[] inv(long[] f) {
        final int mod = 998244353;
        int n = f.length;
        int c = 1;
        var g = new long[c];
        g[0] = pow(f[0], mod - 2, mod);
        while (c < n) {
            c <<= 1;
            var t = Arrays.copyOf(Convolution.convolution(g, Arrays.copyOf(f, c), mod), c);
            t[0] = mod + 2 - t[0];
            for (int i = 1; i < c; i++)
                t[i] = mod - t[i];
            g = Arrays.copyOf(Convolution.convolution(g, t, mod), c);
        }
        return Arrays.copyOf(g, n);
    }

    public static long[] convolutionNaive(long[] a, long[] b, int mod) {
        int n = a.length;
        int m = b.length;
        int k = n + m - 1;
        long[] ret = new long[k];
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                ret[i + j] += a[i] * b[j] % mod;
                ret[i + j] %= mod;
            }
        }
        return ret;
    }
}

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;
        byte b;
        l: while ((rem = remaining()) > 0) {
            for (int i = 0; i < rem; i++) {
                b = buf[pos + i];
                if (b <= 0x20) {
                    pos += i + 1;
                    cpos += i;
                    if (b == 0x0d && hasRemaining() && buf[pos] == 0x0a)
                        pos++;
                    break l;
                }
                cbuf[cpos + i] = (char) b;
            }
            pos += rem;
            cpos += rem;
        }
        char[] arr = new char[cpos];
        for (int 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;
        byte b;
        l: while ((rem = remaining()) > 0) {
            for (int i = 0; i < rem; i++) {
                b = buf[pos + i];
                if (b <= 0x20) {
                    pos += i + 1;
                    cpos += i;
                    if (b == 0x0d && hasRemaining() && buf[pos] == 0x0a)
                        pos++;
                    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;
        byte b;
        l: while ((rem = remaining()) > 0) {
            for (int i = 0; i < rem; i++) {
                b = buf[pos + i];
                if (b <= 0x20) {
                    pos += i + 1;
                    cpos += i;
                    if (b == 0x0d && hasRemaining() && buf[pos] == 0x0a)
                        pos++;
                    break l;
                }
                cbuf[cpos + i] = (char) b;
            }
            pos += rem;
            cpos += rem;
        }
        return String.valueOf(cbuf, 0, cpos);
    }

    public final char[] nextCharArray() throws IOException {
        return readToken();
    }

    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);
        }
        if (b == 0x0d && hasRemaining() && buf[pos] == 0x0a)
            pos++;
        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);
        }
        if (b == 0x0d && hasRemaining() && buf[pos] == 0x0a)
            pos++;
        return value;
    }

    public final char nextChar() throws IOException {
        if (!hasRemaining())
            throw new EOFException();
        final char c = (char) buf[pos++];
        if (hasRemaining() && buf[pos++] == 0x0d && hasRemaining() && buf[pos] == 0x0a)
            pos++;
        return c;
    }

    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 = readToken();
        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 = readToken();
            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] = readToken();
        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(value);
    }

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

    public ContestOutputStream print(String value) throws IOException {
        return append(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 printAB(boolean yes) throws IOException {
        if (yes)
            return println("Alice");
        return println("Bob");
    }

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

    public ContestOutputStream println(long[] arr, int length) throws IOException {
        for (int i = 0; i < length; i++)
            println(arr[i]);
        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(System.lineSeparator());
    }

    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();
    }
}
0