結果
| 問題 | No.2007 Arbitrary Mod (Easy) |
| ユーザー |
 Yu_212
|
| 提出日時 | 2022-07-15 21:21:43 |
| 言語 | Java (openjdk 23) |
| 結果 |
AC
|
| 実行時間 | 71 ms / 2,000 ms |
| コード長 | 13,177 bytes |
| コンパイル時間 | 3,187 ms |
| コンパイル使用メモリ | 103,384 KB |
| 実行使用メモリ | 38,384 KB |
| 最終ジャッジ日時 | 2024-06-27 16:41:26 |
| 合計ジャッジ時間 | 8,017 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge5 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 30 |
ソースコード
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() {long a = in.nextLong();long n = in.nextLong();out.println(mod);out.println(Combination.pow(a, n));}public static void main(String... args) {new Main().solve();out.flush();}}class Combination {private static final int MEMO_THRESHOLD = 1000000;static long mod = Main.mod;private static final List<Long> inv = new ArrayList<>();private static final List<Long> fact = new ArrayList<>();private static final List<Long> invFact = new ArrayList<>();private static final Map<Long, List<Long>> pow = new HashMap<>();private static void buildInvTable(int n) {if (inv.isEmpty()) {inv.add(null);inv.add(1L);}for (int i = inv.size(); i <= n; i++) {inv.add(mod - inv.get((int)(mod % i)) * (mod / i) % mod);}}private static void buildFactTable(int n) {if (fact.isEmpty()) {fact.add(1L);invFact.add(1L);}for (int i = fact.size(); i <= n; i++) {fact.add(fact.get(i - 1) * i % mod);invFact.add(inv(fact.get(i)));}}public static void setupPowTable(long a) {pow.put(a, new ArrayList<>(Collections.singleton(1L)));}private static void rangeCheck(long n, long r) {if (n < r) {throw new IllegalArgumentException("n < r");}if (n < 0) {throw new IllegalArgumentException("n < 0");}if (r < 0) {throw new IllegalArgumentException("r < 0");}}static long fact(int n) {buildFactTable(n);return fact.get(n);}static long invFact(int n) {buildFactTable(n);return invFact.get(n);}private static long comb0(int n, int r) {rangeCheck(n, r);return fact(n) * invFact(r) % mod * invFact(n - r) % mod;}static long comb(long n, long r) {rangeCheck(n, r);if (n < MEMO_THRESHOLD) {return comb0((int)n, (int)r);}r = Math.min(r, n - r);long x = 1, y = 1;for (long i = 1; i <= r; i++) {x = x * (n - r + i) % mod;y = y * i % mod;}return x * inv(y) % mod;}private static long perm0(int n, int r) {rangeCheck(n, r);return fact(n) * invFact(n - r) % mod;}static long perm(long n, long r) {rangeCheck(n, r);if (n < MEMO_THRESHOLD) {return perm0((int)n, (int)r);}long x = 1;for (long i = 1; i <= r; i++) {x = x * (n - r + i) % mod;}return x;}static long homo(long n, long r) {return r == 0 ? 1 : comb(n + r - 1, r);}private static long inv0(int a) {buildInvTable(a);return inv.get(a);}static long inv(long a) {if (a < MEMO_THRESHOLD) {return inv0((int)a);}long b = mod;long u = 1, v = 0;while (b >= 1) {long t = a / b;a -= t * b;u -= t * v;if (a < 1) {return (v %= mod) < 0 ? v + mod : v;}t = b / a;b -= t * a;v -= t * u;}return (u %= mod) < 0 ? u + mod : u;}static long pow(long a, long b) {if (pow.containsKey(a) && b < MEMO_THRESHOLD) {return powMemo(a, (int)b);}long x = 1;while (b > 0) {if (b % 2 == 1) {x = x * a % mod;}a = a * a % mod;b >>= 1;}return x;}static long powMemo(long a, int b) {List<Long> powMemo = pow.get(a);while (powMemo.size() <= b) {powMemo.add(powMemo.get(powMemo.size() - 1) * a % Main.mod);}return powMemo.get(b);}}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();}}