結果
問題 | No.3023 素数判定するだけ |
ユーザー | mikit |
提出日時 | 2018-11-29 14:49:28 |
言語 | Java21 (openjdk 21) |
結果 |
WA
|
実行時間 | - |
コード長 | 5,843 bytes |
コンパイル時間 | 2,043 ms |
コンパイル使用メモリ | 78,880 KB |
実行使用メモリ | 50,632 KB |
最終ジャッジ日時 | 2024-06-26 23:02:05 |
合計ジャッジ時間 | 7,599 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge3 |
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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 | WA | - |
testcase_01 | WA | - |
testcase_02 | WA | - |
testcase_03 | WA | - |
testcase_04 | WA | - |
testcase_05 | WA | - |
testcase_06 | WA | - |
testcase_07 | WA | - |
testcase_08 | WA | - |
testcase_09 | WA | - |
testcase_10 | WA | - |
testcase_11 | WA | - |
testcase_12 | WA | - |
testcase_13 | WA | - |
testcase_14 | WA | - |
testcase_15 | WA | - |
testcase_16 | WA | - |
testcase_17 | WA | - |
testcase_18 | WA | - |
testcase_19 | WA | - |
testcase_20 | WA | - |
testcase_21 | WA | - |
testcase_22 | WA | - |
testcase_23 | WA | - |
testcase_24 | WA | - |
ソースコード
import java.io.OutputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.io.UncheckedIOException; import java.util.StringTokenizer; import java.io.IOException; import java.io.BufferedReader; import java.io.InputStreamReader; import java.io.InputStream; /** * Built using CHelper plug-in * Actual solution is at the top * * @author mikit */ public class Main { public static void main(String[] args) { InputStream inputStream = System.in; OutputStream outputStream = System.out; LightScanner in = new LightScanner(inputStream); PrintWriter out = new PrintWriter(outputStream); No3030 solver = new No3030(); solver.solve(1, in, out); out.close(); } static class No3030 { private static final String YES = "YES"; private static final String NO = "NO"; public void solve(int testNumber, LightScanner in, PrintWriter out) { out.println(IntMath.isPrime(in.longs()) ? YES : NO); } } static final class IntMath { private IntMath() { } public static boolean isPrime(int n) { if (n == 2) { return true; } else if (n <= 1 || (n & 1) == 0) { return false; } int s = BitMath.lsb(n - 1); int d = (n - 1) >> s; ModMath m = new ModMath(n); outer: for (int a : new int[]{2, 7, 61}) { int r = (int) m.pow(a, d); if (r == 1 || r == n - 1) { continue; } for (int j = 0; j < s; j++) { r = (int) m.pow(r, 2); if (r == n - 1) { continue outer; } } return false; } return true; } public static boolean isPrime(long n) { if (n == 2) { return true; } else if (n <= 1 || (n & 1) == 0) { return false; } else if (n < Integer.MAX_VALUE) { return isPrime((int) n); } int s = BitMath.lsb(n - 1); long d = (n - 1) >> s; ModMath m = new ModMath(n); outer: for (int a : new int[]{2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}) { long r = m.pow(a, d); if (r == 1 || r == n - 1) { continue; } for (int j = 0; j < s; j++) { r = m.pow(r, 2); if (r == n - 1) { continue outer; } } return false; } return true; } } static class LightScanner { private BufferedReader reader = null; private StringTokenizer tokenizer = null; public LightScanner(InputStream in) { reader = new BufferedReader(new InputStreamReader(in)); } public String string() { if (tokenizer == null || !tokenizer.hasMoreTokens()) { try { tokenizer = new StringTokenizer(reader.readLine()); } catch (IOException e) { throw new UncheckedIOException(e); } } return tokenizer.nextToken(); } public long longs() { return Long.parseLong(string()); } } static final class BitMath { private BitMath() { } public static int count(int v) { v = (v & 0x55555555) + ((v >> 1) & 0x55555555); v = (v & 0x33333333) + ((v >> 2) & 0x33333333); v = (v & 0x0f0f0f0f) + ((v >> 4) & 0x0f0f0f0f); v = (v & 0x00ff00ff) + ((v >> 8) & 0x00ff00ff); v = (v & 0x0000ffff) + ((v >> 16) & 0x0000ffff); return v; } public static int count(long v) { v = (v & 0x5555555555555555L) + ((v >> 1) & 0x5555555555555555L); v = (v & 0x3333333333333333L) + ((v >> 2) & 0x3333333333333333L); v = (v & 0x0f0f0f0f0f0f0f0fL) + ((v >> 4) & 0x0f0f0f0f0f0f0f0fL); v = (v & 0x00ff00ff00ff00ffL) + ((v >> 8) & 0x00ff00ff00ff00ffL); v = (v & 0x0000ffff0000ffffL) + ((v >> 16) & 0x0000ffff0000ffffL); v = (v & 0x00000000ffffffffL) + ((v >> 32) & 0x00000000ffffffffL); return (int) v; } public static int lsb(int v) { if (v == 0) { throw new IllegalArgumentException("Bit not found"); } v |= (v << 1); v |= (v << 2); v |= (v << 4); v |= (v << 8); v |= (v << 16); return 32 - count(v); } public static int lsb(long v) { if (v == 0) { throw new IllegalArgumentException("Bit not found"); } v |= (v << 1); v |= (v << 2); v |= (v << 4); v |= (v << 8); v |= (v << 16); v |= (v << 32); return 64 - count(v); } } static class ModMath { private static final int DEFAULT_MOD = 1_000_000_007; private final long mod; public ModMath(long mod) { this.mod = mod; } public ModMath() { this(DEFAULT_MOD); } public long pow(long x, long y) { if (y == 0) { return 1; } else if (y % 2 == 0) { long z = pow(x, y / 2); return (z * z) % mod; } else { return (x % mod) * pow(x, y - 1) % mod; } } } }