#975910 (Java21) No.2744 Power! or +1

• 問題: No.2744 Power! or +1
• ユーザー: Yu_212
• 提出日時: 2024-04-20 23:38:08
• 言語: Java21 (openjdk 21)
• 結果: AC
• 実行時間: 693 ms / 3,000 ms
• コード長: 10,270 bytes
• コンパイル時間: 3,013 ms
• コンパイル使用メモリ: 99,056 KB
• 実行使用メモリ: 60,624 KB
• 最終ジャッジ日時: 2024-04-20 23:38:15
• 合計ジャッジ時間: 7,050 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	693 ms; 60,624 KB
testcase_01	AC	187 ms; 49,300 KB
testcase_02	AC	112 ms; 41,852 KB
testcase_03	AC	112 ms; 41,508 KB
testcase_04	AC	166 ms; 44,388 KB
testcase_05	AC	506 ms; 58,004 KB
testcase_06	AC	398 ms; 49,860 KB
testcase_07	AC	64 ms; 38,008 KB
testcase_08	AC	398 ms; 54,684 KB
testcase_09	AC	76 ms; 38,316 KB
testcase_10	AC	76 ms; 38,172 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.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() {
        int n = in.nextInt();
        long a = in.nextLong();
        long b = in.nextLong();
        long c = in.nextLong();
        long[] dist = new long[2 * n];
        Arrays.fill(dist, inf);
        dist[1] = 0;
        class P {
            final int v;
            final long c;

            public P(int v, long c) {
                this.v = v;
                this.c = c;
            }
        }
        PriorityQueue<P> queue = new PriorityQueue<>(Comparator.comparingLong(p -> p.c));
        queue.add(new P(1, 0));
        int[] fact = new int[n * 2];
        fact[0] = 1;
        for (int i = 1; i < n * 2; i++) {
            fact[i] = md(fact[i - 1], i, n);
        }
        while (!queue.isEmpty()) {
            P p = queue.remove();
            if (p.c > dist[p.v]) continue;

            int n1 = md(p.v + 1, n);
            if (dist[n1] > p.c + a) {
                dist[n1] = p.c + a;
                queue.add(new P(n1, dist[n1]));
            }

            int vv = p.v;
            long bb = b;
            for (int i = 2; i < 30; i++) {
                bb = b * bb;
                if (bb > 1000000) break;
                vv = md(vv, p.v, n);
                if (dist[vv] > p.c + bb) {
                    dist[vv] = p.c + bb;
                    queue.add(new P(vv, dist[vv]));
                }
            }
            int n3 = fact[p.v];
            if (dist[n3] > p.c + c) {
                dist[n3] = p.c + c;
                queue.add(new P(n3, dist[n3]));
            }
        }
        out.println(min(dist[0], dist[n]));
    }

    int md(int a, int b, int n) {
        long ab = (long)a * b;
        return (int)(ab < n ? ab : ab % n + n);
    }

    int md(int a, int n) {
        return a < n ? a : a % n + n;
    }

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

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();
    }
}