結果

問題 No.551 夏休みの思い出（２）
ユーザー 37zigen37zigen
提出日時 2017-07-29 14:33:14
言語 Java21
(openjdk 21)
結果
RE  
実行時間 -
コード長 4,907 bytes
コンパイル時間 5,127 ms
コンパイル使用メモリ 82,492 KB
実行使用メモリ 53,964 KB
最終ジャッジ日時 2024-10-10 18:55:25
合計ジャッジ時間 10,695 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge4
このコードへのチャレンジ
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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 AC 80 ms
51,184 KB
testcase_01 AC 80 ms
50,664 KB
testcase_02 AC 87 ms
51,400 KB
testcase_03 AC 105 ms
51,388 KB
testcase_04 AC 133 ms
53,016 KB
testcase_05 AC 156 ms
53,048 KB
testcase_06 AC 159 ms
52,660 KB
testcase_07 AC 82 ms
50,944 KB
testcase_08 AC 84 ms
52,572 KB
testcase_09 AC 82 ms
52,512 KB
testcase_10 AC 81 ms
50,976 KB
testcase_11 AC 83 ms
51,196 KB
testcase_12 AC 80 ms
50,844 KB
testcase_13 AC 83 ms
50,960 KB
testcase_14 AC 82 ms
50,812 KB
testcase_15 AC 86 ms
52,692 KB
testcase_16 AC 84 ms
50,636 KB
testcase_17 AC 85 ms
51,216 KB
testcase_18 AC 87 ms
51,204 KB
testcase_19 AC 84 ms
51,024 KB
testcase_20 AC 85 ms
51,040 KB
testcase_21 AC 85 ms
50,716 KB
testcase_22 AC 98 ms
52,316 KB
testcase_23 AC 85 ms
51,072 KB
testcase_24 AC 84 ms
51,236 KB
testcase_25 AC 84 ms
50,892 KB
testcase_26 AC 84 ms
50,740 KB
testcase_27 RE -
testcase_28 AC 225 ms
53,632 KB
testcase_29 RE -
testcase_30 RE -
testcase_31 AC 205 ms
53,224 KB
testcase_32 RE -
testcase_33 AC 215 ms
53,284 KB
testcase_34 RE -
testcase_35 AC 207 ms
53,400 KB
testcase_36 AC 223 ms
53,732 KB
testcase_37 AC 213 ms
53,220 KB
testcase_38 RE -
testcase_39 AC 229 ms
53,712 KB
testcase_40 AC 220 ms
53,268 KB
testcase_41 RE -
testcase_42 AC 205 ms
53,272 KB
testcase_43 AC 214 ms
53,124 KB
testcase_44 AC 204 ms
53,224 KB
testcase_45 AC 228 ms
53,964 KB
testcase_46 RE -
testcase_47 AC 94 ms
52,600 KB
testcase_48 AC 79 ms
51,100 KB
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ソースコード

diff # 

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;
		if (a == 1)
			return 1;
		long s = 0;
		long tmp = p - 1;
		while (tmp % 2 == 0) {
			++s;
			tmp /= 2;
		}
		long Q = tmp;
		long z = 1;
		while (pow(z, (p - 1) / 2, p) != p - 1) {
			++z;
		}
		long M = s;
		long c = pow(z, Q, p);
		long t = pow(a, Q, p);
		long R = pow(a, (Q + 1) / 2, p);
		while (t != 1) {
			if (pow(t, pow(2, M - 1, p), p) != 1)
				throw new AssertionError();
			if (pow(c, pow(2, M - 1, p), p) != p - 1)
				throw new AssertionError(M);
			long cur = t;
			int i;
			for (i = 1; i < M; ++i) {
				cur = cur * cur % p;
				if (cur == 1)
					break;
			}
			if (cur != 1) {
				throw new AssertionError();
			}
			long b = pow(c, pow(2, M - i - 1, p), p);
			M = i;
			c = b * b % p;
			t = t * b * b % p;
			R = R * b % p;
		}
		if (R * R % p != a) {
			throw new AssertionError();
		}
		return R;
	}

	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();
		}
	}
}
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