#975318 (Java21) No.2743 Twisted Lattice

• 問題: No.2743 Twisted Lattice
• ユーザー: Yu_212
• 提出日時: 2024-04-20 13:49:32
• 言語: Java21 (openjdk 21)
• 結果: AC
• 実行時間: 1,553 ms / 3,000 ms
• コード長: 13,122 bytes
• コンパイル時間: 2,826 ms
• コンパイル使用メモリ: 97,004 KB
• 実行使用メモリ: 118,500 KB
• 最終ジャッジ日時: 2024-04-20 13:50:01
• 合計ジャッジ時間: 16,095 ms
• ジャッジサーバーID （参考情報）: judge3 / judge2

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	1,497 ms; 107,252 KB
testcase_01	AC	1,169 ms; 81,872 KB
testcase_02	AC	746 ms; 75,112 KB
testcase_03	AC	1,278 ms; 108,200 KB
testcase_04	AC	1,518 ms; 112,492 KB
testcase_05	AC	1,446 ms; 112,312 KB
testcase_06	AC	1,553 ms; 118,500 KB
testcase_07	AC	1,438 ms; 112,320 KB
testcase_08	AC	66 ms; 38,076 KB
testcase_09	AC	59 ms; 37,588 KB

ソースコード

import java.io.BufferedInputStream;
import java.io.IOException;
import java.io.PrintWriter;
import java.util.*;
import java.util.function.IntUnaryOperator;
import java.util.function.LongUnaryOperator;
import java.util.stream.Collectors;
import java.util.stream.IntStream;

import static java.lang.Math.abs;
import static java.lang.Math.min;

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

    void solve() {
        long h = in.nextLong();
        long w = in.nextLong();
        int n = in.nextInt();
        long[] y = new long[n];
        long[] x = new long[n];
        Map<Long, TreeSet<Long>> mp = new HashMap<>();
        for (int i = 0; i < n; i++) {
            y[i] = in.nextInt() - 1;
            x[i] = in.nextInt();
            mp.computeIfAbsent(x[i], key -> new TreeSet<>()).add(y[i]);
        }
        Integer[] ord = new Integer[n];
        Arrays.setAll(ord, i -> i);
        Arrays.sort(ord, Comparator.comparingLong(i -> x[i]));
        long[] ans = new long[n];
        Arrays.fill(ans, inf);
        long mv = inf;
        for (int ii = 0; ii < n; ii++) {
            int i = ord[ii];
            TreeSet<Long> x0 = mp.get(x[i] - 1);
            TreeSet<Long> x1 = mp.get(x[i]);
            TreeSet<Long> x2 = mp.get(x[i] + 1);
            if (x0 != null) ans[i] = Math.min(ans[i], near(x0, y[i]));
            if (x2 != null) ans[i] = Math.min(ans[i], near(x2, y[i]));
            Long l0 = x1.lower(y[i]);
            Long h0 = x1.higher(y[i]);
            if (l0 != null) ans[i] = Math.min(ans[i], abs(l0 - y[i]));
            if (h0 != null) ans[i] = Math.min(ans[i], abs(h0 - y[i]));
            ans[i] = Math.min(ans[i], x[i] + mv + y[i]);
            if (mv > y[i] - x[i]) {
                mv = y[i] - x[i];
            }
        }
        mv = inf;
        for (int ii = n - 1; ii >= 0; ii--) {
            int i = ord[ii];
            ans[i] = Math.min(ans[i], -x[i] + mv + y[i]);
            if (mv > y[i] + x[i]) {
                mv = y[i] + x[i];
            }
        }
        for (int i = 0; i < n; i++) {
            out.println(ans[i]);
        }
    }

    long near(TreeSet<Long> ts, long y) {
        Long l = ts.floor(y);
        Long h = ts.higher(y);
        long ll = l == null ? inf : abs(y - l) + min(y, l) + 1;
        long hh = h == null ? inf : abs(y - h) + min(y, h) + 1;
        return min(ll, hh);
    }

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


class LiChaoTree {
    private final long low;
    private final long high;
    private Node root;

    public LiChaoTree(long low, long high) {
        this.low = low;
        this.high = high;
    }

    private Node addLine(Node t, Line x, long l, long r, long xl, long xr) {
        if (t == null) {
            return new Node(x);
        }
        long tl = t.x.query(l);
        long tr = t.x.query(r);
        if (tl <= xl && tr <= xr) {
            return t;
        } else if (tl >= xl && tr >= xr) {
            t.x = x;
            return t;
        } else {
            long m = (l + r) >> 1;
            long tm = t.x.query(m);
            long xm = x.query(m);
            if (tm > xm) {
                Line xx = t.x;
                t.x = x;
                if (xl >= tl) {
                    t.l = addLine(t.l, xx, l, m, tl, tm);
                } else {
                    t.r = addLine(t.r, xx, m + 1, r, tm + x.a, tr);
                }
            } else {
                if (tl >= xl) {
                    t.l = addLine(t.l, x, l, m, xl, xm);
                } else {
                    t.r = addLine(t.r, x, m + 1, r, xm + x.a, xr);
                }
            }
            return t;
        }
    }

    public void addLine(long a, long b) {
        Line x = new Line(a, b);
        root = addLine(root, x, low, high, x.query(low), x.query(high));
    }

    private long query(Node t, long l, long r, long x) {
        if (t == null) {
            return Long.MIN_VALUE;
        }
        if (l == r) {
            return t.x.query(x);
        }
        long m = (l + r) >> 1;
        if (x <= m) {
            return min(t.x.query(x), query(t.l, l, m, x));
        } else {
            return min(t.x.query(x), query(t.r, m + 1, r, x));
        }
    }

    public long minimize(long x) {
        Node t = root;
        long l = low;
        long r = high;
        long ret = Long.MAX_VALUE;
        while (t != null && l < r) {
            ret = min(ret, t.x.query(x));
            long m = (l + r) >> 1;
            if (x <= m) {
                t = t.l;
                r = m;
            } else {
                t = t.r;
                l = m + 1;
            }
        }
        return ret;
    }

    private static class Line {
        long a, b;

        private Line(long a, long b) {
            this.a = a;
            this.b = b;
        }

        long query(long x) {
            return a * x + b;
        }
    }

    private static class Node {
        private Line x;
        private Node l, r;

        private Node(Line x) {
            this.x = x;
        }
    }
}

class 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++];
    }

    public 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();
    }

    public 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();
    }

    public int nextInt() {
        long val = nextLong();
        if (val < Integer.MIN_VALUE || Integer.MAX_VALUE < val) {
            throw new NumberFormatException();
        }
        return (int)val;
    }

    public 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;
    }

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

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

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

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

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

    public 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;
    }

    public 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;
    }

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

    public 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;
    }

    public 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;
    }

    public List<List<Integer>> nextGraph(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);
    public boolean autoFlush;
    public boolean enableDebug;

    public Out(boolean autoFlush, boolean enableDebug) {
        this.autoFlush = autoFlush;
        this.enableDebug = enableDebug;
    }

    public 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 -> format(obj, true)).collect(Collectors.joining(" ")));
        err.flush();
    }

    private String format(Object obj, boolean canMultiline) {
        if (obj == null) return "null";
        Class<?> clazz = obj.getClass();
        if (clazz == Double.class) return String.format("%.10f", obj);
        if (clazz == int[].class) return Arrays.toString((int[])obj);
        if (clazz == long[].class) return Arrays.toString((long[])obj);
        if (clazz == char[].class) return String.valueOf((char[])obj);
        if (clazz == boolean[].class) return IntStream.range(0, ((boolean[])obj).length).mapToObj(i -> ((boolean[])obj)[i] ? "1" : "0").collect(Collectors.joining());
        if (clazz == double[].class) return Arrays.toString(Arrays.stream((double[])obj).mapToObj(a -> format(a, false)).toArray());
        if (canMultiline && clazz.isArray() && clazz.componentType().isArray()) return Arrays.stream((Object[])obj).map(a -> format(a, false)).collect(Collectors.joining("\n"));
        if (clazz == Object[].class) return Arrays.toString(Arrays.stream((Object[])obj).map(a -> format(a, false)).toArray());
        if (clazz.isArray()) return Arrays.toString((Object[])obj);
        return String.valueOf(obj);
    }

    public void println(Object... args) {
        if (args == null || args.getClass() != Object[].class) {
            args = new Object[] {args};
        }
        out.println(Arrays.stream(args)
                .map(obj -> obj instanceof Double ? String.format("%.10f", obj) : String.valueOf(obj))
                .collect(Collectors.joining(" ")));
        if (autoFlush) {
            out.flush();
        }
    }

    public void println(char a) {
        out.println(a);
        if (autoFlush) {
            out.flush();
        }
    }

    public void println(int a) {
        out.println(a);
        if (autoFlush) {
            out.flush();
        }
    }

    public void println(long a) {
        out.println(a);
        if (autoFlush) {
            out.flush();
        }
    }

    public void println(double a) {
        out.println(String.format("%.10f", a));
        if (autoFlush) {
            out.flush();
        }
    }

    public void println(String s) {
        out.println(s);
        if (autoFlush) {
            out.flush();
        }
    }

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

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

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

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