#192513 (Java21) No.551 夏休みの思い出（２）

• 問題: No.551 夏休みの思い出（２）
• ユーザー: 37zigen
• 提出日時: 2017-07-29 04:34:22
• 言語: Java21 (openjdk 21)
• 結果: AC
• 実行時間: 260 ms / 4,000 ms
• コード長: 4,432 bytes
• コンパイル時間: 4,444 ms
• コンパイル使用メモリ: 88,812 KB
• 実行使用メモリ: 56,464 KB
• 最終ジャッジ日時: 2024-10-10 21:11:18
• 合計ジャッジ時間: 12,125 ms
• ジャッジサーバーID （参考情報）: judge3 / judge4

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	81 ms; 51,300 KB
testcase_01	AC	83 ms; 51,204 KB
testcase_02	AC	94 ms; 51,356 KB
testcase_03	AC	128 ms; 53,568 KB
testcase_04	AC	146 ms; 52,444 KB
testcase_05	AC	171 ms; 53,984 KB
testcase_06	AC	177 ms; 55,544 KB
testcase_07	AC	85 ms; 51,228 KB
testcase_08	AC	83 ms; 51,052 KB
testcase_09	AC	84 ms; 50,968 KB
testcase_10	AC	85 ms; 52,520 KB
testcase_11	AC	86 ms; 52,148 KB
testcase_12	AC	82 ms; 51,292 KB
testcase_13	AC	85 ms; 52,668 KB
testcase_14	AC	86 ms; 50,996 KB
testcase_15	AC	86 ms; 52,616 KB
testcase_16	AC	84 ms; 51,180 KB
testcase_17	AC	91 ms; 52,368 KB
testcase_18	AC	89 ms; 52,544 KB
testcase_19	AC	85 ms; 50,988 KB
testcase_20	AC	87 ms; 51,076 KB
testcase_21	AC	85 ms; 50,544 KB
testcase_22	AC	90 ms; 50,676 KB
testcase_23	AC	87 ms; 52,832 KB
testcase_24	AC	87 ms; 51,308 KB
testcase_25	AC	86 ms; 51,004 KB
testcase_26	AC	86 ms; 50,768 KB
testcase_27	AC	228 ms; 56,100 KB
testcase_28	AC	240 ms; 56,212 KB
testcase_29	AC	229 ms; 55,632 KB
testcase_30	AC	234 ms; 56,148 KB
testcase_31	AC	213 ms; 55,768 KB
testcase_32	AC	237 ms; 55,632 KB
testcase_33	AC	213 ms; 55,744 KB
testcase_34	AC	234 ms; 55,804 KB
testcase_35	AC	227 ms; 55,596 KB
testcase_36	AC	222 ms; 55,992 KB
testcase_37	AC	235 ms; 55,796 KB
testcase_38	AC	260 ms; 56,248 KB
testcase_39	AC	235 ms; 55,812 KB
testcase_40	AC	232 ms; 55,532 KB
testcase_41	AC	232 ms; 55,924 KB
testcase_42	AC	239 ms; 56,240 KB
testcase_43	AC	243 ms; 56,464 KB
testcase_44	AC	236 ms; 56,108 KB
testcase_45	AC	227 ms; 55,844 KB
testcase_46	AC	253 ms; 56,268 KB
testcase_47	AC	82 ms; 50,632 KB
testcase_48	AC	84 ms; 51,228 KB

ソースコード

import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.HashMap;
import java.util.HashSet;
import java.util.NoSuchElementException;

public class Main {
	public static void main(String[] args) {
		new Main().run();
	}

	static long time = 0;

	public void run() {
		Scanner sc = new Scanner();
		int P = sc.nextInt();
		int R = sc.nextInt();
		int N = sc.nextInt();
		long[] B = new long[N];
		long[] C = new long[N];
		PrintWriter pw = new PrintWriter(System.out);
		long inv2 = inv(2, P);
		for (int i = 0; i < N; ++i) {
			long A = sc.nextLong();
			B[i] = sc.nextInt();
			C[i] = sc.nextInt();
			long invA = inv(A, P);
			B[i] = invA * B[i] % P;
			C[i] = invA * C[i] % P;
			long v = B[i] * B[i] - 4 * C[i];
			v %= P;
			while (v < 0)
				v += P;
			if (v == 0 || pow(v, (P - 1) / 2, P) == 1) {
				v = calc(v, P);
				long[] ans = { inv2 * (-B[i] + v), inv2 * (-B[i] + P - v) };
				for (int j = 0; j < ans.length; ++j) {
					ans[j] %= P;
					while (ans[j] < 0)
						ans[j] += P;
				}
				if (ans[0] > ans[1]) {
					long tmp = ans[0];
					ans[0] = ans[1];
					ans[1] = tmp;
				}
				if (ans[0] == ans[1]) {
					pw.println(ans[0]);
				} else {
					pw.println(ans[0] + " " + ans[1]);
				}
			} else {
				pw.println(-1);
			}
		}
		pw.close();
	}

	// x^2=aとなるxを探す
	static long calc(long a, long p) {
		if (a == 0)
			return 0;
		int b = 0;
		while ((b * b - a) == 0 || pow((b * b % p - a + p) % p, (p - 1) / 2, p) == 1) {
			++b;
		}
		long[] d = { 1, 0 };
		long[] m = { b, 1 };
		long n = (p + 1) / 2;
		for (; n > 0; n >>= 1, m = mul(m, m, b, a, p)) {
			if (n % 2 == 1) {
				d = mul(d, m, b, a, p);
			}
		}
		if (d[1] != 0)
			throw new AssertionError();
		return d[0];

	}

	static long[] mul(long[] u, long[] v, long b, long a, long p) {
		long[] ret = new long[3];
		for (int i = 0; i < 2; ++i) {
			for (int j = 0; j < 2; ++j) {
				ret[i + j] += u[i] * v[j];
				ret[i + j] %= p;
			}
		}
		ret[0] += ret[2] * (b * b - a);
		ret[0] %= p;
		for (int i = 0; i < ret.length; ++i) {
			while (ret[i] < 0)
				ret[i] += p;
		}
		return Arrays.copyOf(ret, 2);
	}

	public static long inv(long a, long mod) {
		long b = mod;
		long p = 1, q = 0;
		while (b > 0) {
			long c = a / b;
			long d;
			d = a;
			a = b;
			b = d % b;
			d = p;
			p = q;
			q = d - c * q;
		}
		return p < 0 ? p + mod : p;
	}

	// static long inv(long a, long mod) {
	// return pow(a, mod - 2, mod);
	// }

	static long pow(long a, long n, long mod) {
		long ret = 1;
		for (; n > 0; n >>= 1, a = (a * a) % mod) {
			if (n % 2 == 1) {
				ret = (ret * a) % mod;
			}
		}
		return ret;
	}

	static void tr(Object... objects) {
		System.out.println(Arrays.deepToString(objects));
	}

	class Scanner {
		private final InputStream in = System.in;
		private final byte[] buffer = new byte[1024];
		private int ptr = 0;
		private int buflen = 0;

		private boolean hasNextByte() {
			if (ptr < buflen) {
				return true;
			} else {
				ptr = 0;
				try {
					buflen = in.read(buffer);
				} catch (IOException e) {
					e.printStackTrace();
				}
				if (buflen <= 0) {
					return false;
				}
			}
			return true;
		}

		private int readByte() {
			if (hasNextByte())
				return buffer[ptr++];
			else
				return -1;
		}

		private boolean isPrintableChar(int c) {
			return 33 <= c && c <= 126;
		}

		private void skipUnprintable() {
			while (hasNextByte() && !isPrintableChar(buffer[ptr]))
				ptr++;
		}

		public boolean hasNext() {
			skipUnprintable();
			return hasNextByte();
		}

		public String next() {
			if (!hasNext())
				throw new NoSuchElementException();
			StringBuilder sb = new StringBuilder();
			int b = readByte();
			while (isPrintableChar(b)) {
				sb.appendCodePoint(b);
				b = readByte();
			}
			return sb.toString();
		}

		public long nextLong() {
			if (!hasNext())
				throw new NoSuchElementException();
			long n = 0;
			boolean minus = false;
			int b = readByte();
			if (b == '-') {
				minus = true;
				b = readByte();
			}
			if (b < '0' || '9' < b) {
				throw new NumberFormatException();
			}
			while (true) {
				if ('0' <= b && b <= '9') {
					n *= 10;
					n += b - '0';
				} else if (b == -1 || !isPrintableChar(b)) {
					return minus ? -n : n;
				} else {
					throw new NumberFormatException();
				}
				b = readByte();
			}
		}

		public int nextInt() {
			return (int) nextLong();
		}
	}
}