結果
問題 | No.847 Divisors of Power |
ユーザー |
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提出日時 | 2019-07-05 22:06:34 |
言語 | Java (openjdk 23) |
結果 |
TLE
|
実行時間 | - |
コード長 | 7,113 bytes |
コンパイル時間 | 2,293 ms |
コンパイル使用メモリ | 92,592 KB |
実行使用メモリ | 205,516 KB |
最終ジャッジ日時 | 2024-10-06 21:49:20 |
合計ジャッジ時間 | 6,250 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge2 |
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ファイルパターン | 結果 |
---|---|
sample | -- * 4 |
other | AC * 6 TLE * 1 -- * 19 |
ソースコード
import java.util.Arrays;import java.util.Random;class FactorL {static long[][] factorX(long n, int[] primes) {long[][] ret = new long[20][2];int rp = 0;for (int p : primes) {if ((long) p * p > n)break;int i;for (i = 0; n % p == 0; n /= p, i++);if (i > 0) {ret[rp][0] = p;ret[rp][1] = i;rp++;}}if (n == 1)return Arrays.copyOf(ret, rp);// P^2long sq = (long) Math.sqrt(n);for (long u = Math.max(2, sq - 2); u <= sq + 2; u++) {if (u * u == n) {ret[rp][0] = u;ret[rp][1] = 2;rp++;return Arrays.copyOf(ret, rp);}}// Primeif (doMirrorRabin(n)) {ret[rp][0] = n;ret[rp][1] = 1;rp++;return Arrays.copyOf(ret, rp);}// P*Qlong f = rho(n);if (f == -1)throw new ArithmeticException();if (f > n / f)f = n / f;ret[rp][0] = f;ret[rp][1] = 1;rp++;ret[rp][0] = n / f;ret[rp][1] = 1;rp++;return Arrays.copyOf(ret, rp);}public static long mul(long a, long b, long mod) {a %= mod;long ret = 0;int x = 63 - Long.numberOfLeadingZeros(b);for (; x >= 0; x--) {ret += ret;if (ret >= mod)ret -= mod;if (b << ~x < 0) {ret += a;if (ret >= mod)ret -= mod;}}return ret;}public static boolean doMirrorRabin(long n) {// int[] P = {2, 7, 61}; // n<4759123141int[] P = {2, 3, 5, 7, 11, 13, 17, 19, 23}; // n=longint s = Long.numberOfTrailingZeros(n - 1);long d = n - 1 >> s;outer: for (int a : P) {if (a >= n)continue;long mul = a;long ad = 1;for (long e = d; e > 0; e >>>= 1) {if ((e & 1) == 1)ad = mul(ad, mul, n);mul = mul(mul, mul, n);}if (ad == 1)continue;for (int r = 0; r < s; r++) {if (ad == n - 1)continue outer;ad = mul(ad, ad, n);}return false;}return true;}static long rho(long n) {Random gen = new Random();for (int u = 0; u < 100; u++) {long ran = (gen.nextLong() & Long.MAX_VALUE) % n;long x = 2, y = 2, d = 1;while (d == 1) {x = (mul(x, x, n) + ran) % n;y = (mul(y, y, n) + ran) % n;y = (mul(y, y, n) + ran) % n;d = gcd(Math.abs(x - y), n);}if (d < n)return d;}return -1;}public static long gcd(long a, long b) {while (b > 0) {long c = a;a = b;b = c % b;}return a;}public static int[] sieveEratosthenes(int n) {if (n <= 32) {int[] primes = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31};for (int i = 0; i < primes.length; i++) {if (n < primes[i]) {return Arrays.copyOf(primes, i);}}return primes;}int u = n + 32;double lu = Math.log(u);int[] ret = new int[(int) (u / lu + u / lu / lu * 1.5)];ret[0] = 2;int pos = 1;int[] isp = new int[(n + 1) / 32 / 2 + 1];int sup = (n + 1) / 32 / 2 + 1;int[] tprimes = {3, 5, 7, 11, 13, 17, 19, 23, 29, 31};for (int tp : tprimes) {ret[pos++] = tp;int[] ptn = new int[tp];for (int i = (tp - 3) / 2; i < tp << 5; i += tp)ptn[i >> 5] |= 1 << (i & 31);for (int i = 0; i < tp; i++) {for (int j = i; j < sup; j += tp)isp[j] |= ptn[i];}}// 3,5,7// 2x+3=nint[] magic = {0, 1, 23, 2, 29, 24, 19, 3, 30, 27, 25, 11, 20, 8, 4, 13, 31, 22, 28, 18, 26, 10,7, 12, 21, 17, 9, 6, 16, 5, 15, 14};int h = n / 2;for (int i = 0; i < sup; i++) {for (int j = ~isp[i]; j != 0; j &= j - 1) {int pp = i << 5 | magic[(j & -j) * 0x076be629 >>> 27];int p = 2 * pp + 3;if (p > n)break;ret[pos++] = p;for (int q = pp; q <= h; q += p)isp[q >> 5] |= 1 << (q & 31);}}return Arrays.copyOf(ret, pos);}}public class Main {private static void solve() {int n = ni();int k = ni();int m = ni();int[] primes = FactorL.sieveEratosthenes(n);long[][] f = FactorL.factorX(n, primes);for (long[] v : f) {v[1] *= k;}int ret = dfs(1, 0, f, m);System.out.println(ret);}private static int dfs(long now, int k, long[][] f, long m) {if (now > m) {return 0;} else if (k == f.length) {return 1;}int ret = 0;for (int i = 0; i <= f[k][1]; i++) {ret += dfs(now, k + 1, f, m);now *= f[k][0];if (now > m) break;}return ret;}public static void main(String[] args) {new Thread(null, new Runnable() {@Overridepublic void run() {long start = System.currentTimeMillis();String debug = args.length > 0 ? args[0] : null;if (debug != null) {try {is = java.nio.file.Files.newInputStream(java.nio.file.Paths.get(debug));} catch (Exception e) {throw new RuntimeException(e);}}reader = new java.io.BufferedReader(new java.io.InputStreamReader(is), 32768);solve();out.flush();tr((System.currentTimeMillis() - start) + "ms");}}, "", 64000000).start();}private static java.io.InputStream is = System.in;private static java.io.PrintWriter out = new java.io.PrintWriter(System.out);private static java.util.StringTokenizer tokenizer = null;private static java.io.BufferedReader reader;public static String next() {while (tokenizer == null || !tokenizer.hasMoreTokens()) {try {tokenizer = new java.util.StringTokenizer(reader.readLine());} catch (Exception e) {throw new RuntimeException(e);}}return tokenizer.nextToken();}private static double nd() {return Double.parseDouble(next());}private static long nl() {return Long.parseLong(next());}private static int[] na(int n) {int[] a = new int[n];for (int i = 0; i < n; i++)a[i] = ni();return a;}private static char[] ns() {return next().toCharArray();}private static long[] nal(int n) {long[] a = new long[n];for (int i = 0; i < n; i++)a[i] = nl();return a;}private static int[][] ntable(int n, int m) {int[][] table = new int[n][m];for (int i = 0; i < n; i++) {for (int j = 0; j < m; j++) {table[i][j] = ni();}}return table;}private static int[][] nlist(int n, int m) {int[][] table = new int[m][n];for (int i = 0; i < n; i++) {for (int j = 0; j < m; j++) {table[j][i] = ni();}}return table;}private static int ni() {return Integer.parseInt(next());}private static void tr(Object... o) {if (is != System.in)System.out.println(java.util.Arrays.deepToString(o));}}