結果

問題 No.510 二次漸化式
ユーザー GrenacheGrenache
提出日時 2017-05-12 19:27:49
言語 Java21
(openjdk 21)
結果
AC  
実行時間 882 ms / 3,000 ms
コード長 6,709 bytes
コンパイル時間 4,013 ms
コンパイル使用メモリ 78,672 KB
実行使用メモリ 111,488 KB
最終ジャッジ日時 2024-09-15 10:45:14
合計ジャッジ時間 27,041 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge4
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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 52 ms
37,244 KB
testcase_01 AC 53 ms
37,016 KB
testcase_02 AC 371 ms
46,156 KB
testcase_03 AC 380 ms
46,784 KB
testcase_04 AC 387 ms
46,560 KB
testcase_05 AC 382 ms
46,392 KB
testcase_06 AC 541 ms
54,428 KB
testcase_07 AC 518 ms
54,348 KB
testcase_08 AC 532 ms
54,272 KB
testcase_09 AC 542 ms
54,892 KB
testcase_10 AC 244 ms
45,248 KB
testcase_11 AC 250 ms
45,584 KB
testcase_12 AC 244 ms
44,828 KB
testcase_13 AC 247 ms
45,508 KB
testcase_14 AC 243 ms
45,164 KB
testcase_15 AC 250 ms
45,672 KB
testcase_16 AC 625 ms
106,312 KB
testcase_17 AC 621 ms
106,388 KB
testcase_18 AC 631 ms
106,476 KB
testcase_19 AC 630 ms
106,508 KB
testcase_20 AC 619 ms
106,544 KB
testcase_21 AC 628 ms
106,544 KB
testcase_22 AC 646 ms
106,556 KB
testcase_23 AC 872 ms
111,168 KB
testcase_24 AC 870 ms
111,224 KB
testcase_25 AC 851 ms
111,488 KB
testcase_26 AC 878 ms
111,220 KB
testcase_27 AC 882 ms
111,180 KB
testcase_28 AC 868 ms
111,292 KB
testcase_29 AC 859 ms
111,328 KB
testcase_30 AC 879 ms
111,432 KB
testcase_31 AC 744 ms
109,552 KB
testcase_32 AC 741 ms
109,544 KB
testcase_33 AC 761 ms
109,488 KB
testcase_34 AC 702 ms
105,364 KB
testcase_35 AC 650 ms
105,384 KB
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ソースコード

diff # 

import java.io.*;
import java.util.*;


public class Main_yukicoder510 {

	private static Scanner sc;
	private static Printer pr;

	private static void solve() {
		int n = sc.nextInt();

		nn = 1;
		while (nn < n) {
			nn *= 2;
		}

		st = new int[2 * nn - 1][][];
		for (int i = 0; i < n; i++) {
			st[i + nn - 1] = setM(Matrix.getI(4), 0, 0);
		}
		for (int i = n; i < nn; i++) {
			st[i + nn - 1] = Matrix.getI(4);
		}

		for (int i = nn - 2; i >= 0; i--) {
			st[i] = Matrix.mul(st[2 * i + 2], st[2 * i + 1]);
		}

		int q = sc.nextInt();
		for (int k = 0; k < q; k++) {
			char[] xya = sc.next().toCharArray();
			if (xya[0] == 'x') {
				int i = sc.nextInt();
				int v = sc.nextInt();

				update(i, v, st[nn - 1 + i][1][1]);

			} else if (xya[0] == 'y') {
				int i = sc.nextInt();
				int v = sc.nextInt();

				update(i, st[nn - 1 + i][0][2], v);
			} else {
				int i = sc.nextInt();

				if (i == 0) {
					pr.println(1);
				} else {
					int[] a0 = {1, 1, 1, 1};
					int[] ans = Matrix.mul(query(0, i), a0);

					pr.println(ans[0]);
				}
			}
		}
	}

	private static int nn;
	private static int[][][] st;

	// a, b:0-indexed
	// [a, b)
	private static int[][] query(int a, int b) {
		return query(a, b, 0, 0, nn);
	}

	private static int[][] query(int a, int b, int i, int l, int r) {
		if (a >= r || b <= l) {
			return Matrix.getI(4);
		}
		if (a <= l && b >= r) {
			return st[i];
		}

		return Matrix.mul(query(a, b, i * 2 + 2, (l + r) / 2, r),
				query(a, b, i * 2 + 1, l, (l + r) / 2));

	}

	// i:0-indexed
	private static void update(int i, int x, int y) {
		i = nn - 1 + i;
		setM(st[i], x, y);

		while (i > 0) {
			i = (i - 1) / 2;
			st[i] = Matrix.mul(st[2 * i + 2], st[2 * i + 1]);
		}
	}

	private static final int MOD = 1_000_000_007;

	private static int[][] setM(int[][] ret, int x, int y) {
		ret[0][2] = x;
		ret[1][1] = y;
		ret[1][3] = 1;
		ret[2][1] = 2 * y % MOD;
		ret[2][2] = (int)((long)y * y % MOD);
		ret[2][3] = 1;

		return ret;
	}

	private static class Matrix {
		static int[] mul(int[][] a, int[] x) {
			int m = a.length;
			int n = a[0].length;
			if (n != x.length) {
				throw new IllegalArgumentException();
			}

			int[] y = new int[m];
			for (int i = 0; i < m; i++) {
				long tmp = 0;
				for (int j = 0; j < n; j++) {
					tmp += (long)a[i][j] * x[j];
					tmp %= MOD;
				}
				y[i] = (int)tmp;
			}

			return y;
		}

		static int[][] mul(int[][] a, int[][] a2) {
			int m = a.length;
			int n = a2[0].length;
			int l = a[0].length;
			if (l != a2.length) {
				throw new IllegalArgumentException();
			}

			int[][] y = new int[m][n];
			for (int i = 0; i < m; i++) {
				for (int j = 0; j < n; j++) {
					long tmp = 0;
					for (int k = 0; k < l; k++) {
						tmp += (long)a[i][k] * a2[k][j];
						tmp %= MOD;
					}
					y[i][j] = (int)tmp;
				}
			}

			return y;
		}

		static int[][] getI(int n) {
			int[][] mat = new int[n][];
			for (int i = 0; i < n; i++) {
				mat[i] = new int[n];
				mat[i][i] = 1;
			}

			return mat;
		}
	}

	// ---------------------------------------------------
	public static void main(String[] args) {
		sc = new Scanner(System.in);
		pr = new Printer(System.out);

		solve();

		pr.close();
		sc.close();
	}

	@SuppressWarnings("unused")
	private static class Scanner {
		BufferedReader br;

		Scanner (InputStream in) {
			br = new BufferedReader(new InputStreamReader(in));
		}

		private boolean isPrintable(int ch) {
			return ch >= '!' && ch <= '~';
		}

		private boolean isCRLF(int ch) {
			return ch == '\n' || ch == '\r' || ch == -1;
		}

		private int nextPrintable() {
			try {
				int ch;
				while (!isPrintable(ch = br.read())) {
					if (ch == -1) {
						throw new NoSuchElementException();
					}
				}

				return ch;
			} catch (IOException e) {
				throw new NoSuchElementException();
			}
		}

		String next() {
			try {
				int ch = nextPrintable();
				StringBuilder sb = new StringBuilder();
				do {
					sb.appendCodePoint(ch);
				} while (isPrintable(ch = br.read()));

				return sb.toString();
			} catch (IOException e) {
				throw new NoSuchElementException();
			}
		}

		int nextInt() {
			try {
				// parseInt from Integer.parseInt()
				boolean negative = false;
				int res = 0;
				int limit = -Integer.MAX_VALUE;
				int radix = 10;

				int fc = nextPrintable();
				if (fc < '0') {
					if (fc == '-') {
						negative = true;
						limit = Integer.MIN_VALUE;
					} else if (fc != '+') {
						throw new NumberFormatException();
					}
					fc = br.read();
				}
				int multmin = limit / radix;

				int ch = fc;
				do {
					int digit = ch - '0';
					if (digit < 0 || digit >= radix) {
						throw new NumberFormatException();
					}
					if (res < multmin) {
						throw new NumberFormatException();
					}
					res *= radix;
					if (res < limit + digit) {
						throw new NumberFormatException();
					}
					res -= digit;

				} while (isPrintable(ch = br.read()));

				return negative ? res : -res;
			} catch (IOException e) {
				throw new NoSuchElementException();
			}
		}

		long nextLong() {
			try {
				// parseLong from Long.parseLong()
				boolean negative = false;
				long res = 0;
				long limit = -Long.MAX_VALUE;
				int radix = 10;

				int fc = nextPrintable();
				if (fc < '0') {
					if (fc == '-') {
						negative = true;
						limit = Long.MIN_VALUE;
					} else if (fc != '+') {
						throw new NumberFormatException();
					}
					fc = br.read();
				}
				long multmin = limit / radix;

				int ch = fc;
				do {
					int digit = ch - '0';
					if (digit < 0 || digit >= radix) {
						throw new NumberFormatException();
					}
					if (res < multmin) {
						throw new NumberFormatException();
					}
					res *= radix;
					if (res < limit + digit) {
						throw new NumberFormatException();
					}
					res -= digit;

				} while (isPrintable(ch = br.read()));

				return negative ? res : -res;
			} catch (IOException e) {
				throw new NoSuchElementException();
			}
		}

		float nextFloat() {
			return Float.parseFloat(next());
		}

		double nextDouble() {
			return Double.parseDouble(next());
		}

		String nextLine() {
			try {
				int ch;
				while (isCRLF(ch = br.read())) {
					if (ch == -1) {
						throw new NoSuchElementException();
					}
				}
				StringBuilder sb = new StringBuilder();
				do {
					sb.appendCodePoint(ch);
				} while (!isCRLF(ch = br.read()));

				return sb.toString();
			} catch (IOException e) {
				throw new NoSuchElementException();
			}
		}

		void close() {
			try {
				br.close();
			} catch (IOException e) {
//				throw new NoSuchElementException();
			}
		}
	}

	private static class Printer extends PrintWriter {
		Printer(PrintStream out) {
			super(out);
		}
	}
}
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