結果

問題 No.493 とても長い数列と文字列(Long Long Sequence and a String)
ユーザー 37zigen37zigen
提出日時 2017-03-11 04:25:21
言語 Java21
(openjdk 21)
結果
WA  
実行時間 -
コード長 3,179 bytes
コンパイル時間 2,686 ms
コンパイル使用メモリ 84,124 KB
実行使用メモリ 43,920 KB
最終ジャッジ日時 2024-06-24 11:56:47
合計ジャッジ時間 26,146 ms
ジャッジサーバーID
(参考情報)
judge3 / judge1
このコードへのチャレンジ
(要ログイン)

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 158 ms
42,592 KB
testcase_01 AC 188 ms
43,488 KB
testcase_02 AC 171 ms
43,196 KB
testcase_03 AC 128 ms
41,140 KB
testcase_04 AC 185 ms
43,628 KB
testcase_05 AC 172 ms
43,504 KB
testcase_06 AC 169 ms
43,580 KB
testcase_07 AC 168 ms
43,092 KB
testcase_08 AC 132 ms
41,584 KB
testcase_09 AC 171 ms
43,108 KB
testcase_10 AC 184 ms
43,504 KB
testcase_11 AC 184 ms
43,608 KB
testcase_12 WA -
testcase_13 AC 184 ms
43,828 KB
testcase_14 AC 187 ms
43,164 KB
testcase_15 AC 191 ms
43,704 KB
testcase_16 AC 192 ms
43,560 KB
testcase_17 AC 188 ms
43,500 KB
testcase_18 WA -
testcase_19 AC 163 ms
43,380 KB
testcase_20 AC 181 ms
43,600 KB
testcase_21 AC 186 ms
43,568 KB
testcase_22 WA -
testcase_23 AC 188 ms
43,548 KB
testcase_24 AC 184 ms
43,584 KB
testcase_25 WA -
testcase_26 AC 187 ms
43,100 KB
testcase_27 WA -
testcase_28 WA -
testcase_29 WA -
testcase_30 AC 185 ms
43,440 KB
testcase_31 WA -
testcase_32 AC 188 ms
43,532 KB
testcase_33 WA -
testcase_34 AC 185 ms
43,176 KB
testcase_35 WA -
testcase_36 AC 185 ms
43,300 KB
testcase_37 AC 188 ms
43,652 KB
testcase_38 AC 187 ms
43,544 KB
testcase_39 AC 188 ms
43,544 KB
testcase_40 AC 185 ms
43,492 KB
testcase_41 AC 187 ms
43,608 KB
testcase_42 AC 187 ms
43,324 KB
testcase_43 AC 190 ms
43,660 KB
testcase_44 WA -
testcase_45 AC 188 ms
43,280 KB
testcase_46 AC 183 ms
43,276 KB
testcase_47 AC 170 ms
42,888 KB
testcase_48 WA -
testcase_49 AC 186 ms
43,408 KB
testcase_50 AC 186 ms
43,584 KB
testcase_51 AC 183 ms
43,480 KB
testcase_52 AC 170 ms
43,308 KB
testcase_53 AC 169 ms
42,924 KB
testcase_54 WA -
testcase_55 AC 188 ms
43,640 KB
testcase_56 WA -
testcase_57 WA -
testcase_58 AC 188 ms
43,520 KB
testcase_59 WA -
testcase_60 WA -
testcase_61 WA -
testcase_62 WA -
testcase_63 WA -
testcase_64 WA -
testcase_65 WA -
testcase_66 WA -
testcase_67 WA -
testcase_68 WA -
testcase_69 WA -
testcase_70 WA -
testcase_71 WA -
testcase_72 WA -
testcase_73 WA -
testcase_74 WA -
testcase_75 WA -
testcase_76 WA -
testcase_77 WA -
testcase_78 WA -
testcase_79 WA -
testcase_80 WA -
testcase_81 WA -
testcase_82 WA -
testcase_83 WA -
testcase_84 WA -
testcase_85 WA -
testcase_86 WA -
testcase_87 WA -
testcase_88 WA -
testcase_89 WA -
testcase_90 WA -
testcase_91 WA -
testcase_92 WA -
testcase_93 WA -
testcase_94 WA -
testcase_95 WA -
testcase_96 WA -
testcase_97 WA -
testcase_98 WA -
testcase_99 WA -
testcase_100 WA -
testcase_101 WA -
testcase_102 WA -
testcase_103 WA -
testcase_104 WA -
testcase_105 WA -
testcase_106 WA -
testcase_107 WA -
testcase_108 WA -
testcase_109 WA -
testcase_110 WA -
testcase_111 WA -
testcase_112 WA -
testcase_113 WA -
testcase_114 AC 183 ms
43,300 KB
testcase_115 AC 160 ms
42,504 KB
testcase_116 AC 179 ms
43,208 KB
testcase_117 AC 186 ms
43,920 KB
testcase_118 AC 186 ms
43,488 KB
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ソースコード

diff #

import java.util.Arrays;
import java.util.Scanner;
import java.util.concurrent.SynchronousQueue;
import java.math.*;

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

	static long MODULO = 1_000_000_000L + 7;
	static int[] ref = { 10, 1, 2, 3, 4, 5, 6, 7, 8, 9 };
	static long[] pow10 = { 1, 10, 100, 1000, 10000 };

	void run() {
		Scanner sc = new Scanner(System.in);
		long K = sc.nextLong();
		long L = sc.nextLong();
		long R = sc.nextLong();
		K = Math.min(K, 60);
		--K;
		if (getFullLen(K) < R) {
			System.out.println(-1);
			return;
		}
		long[] leftCnt = solve(K, L - 1);
		long[] rightCnt = solve(K, R);
		long sum = sum(rightCnt) - sum(leftCnt);
		long prd = prd(rightCnt) * inv(prd(leftCnt), MODULO) % MODULO;
		System.out.println(sum + " " + prd);
	}

	long sum(long[] arr) {
		long ret = 0;
		for (int i = 0; i < arr.length; ++i) {
			ret = (ret + ref[i] * arr[i]) % MODULO;
		}
		return ret;
	}

	long prd(long[] arr) {
		long ret = 1;
		for (int i = 0; i < arr.length; ++i) {
			ret = (ret * pow(ref[i], arr[i])) % MODULO;
		}
		return ret;
	}

	long[] solve(long K, long len) {
		if (len == 0)
			return new long[10];
		long left = 0;
		long right = 1L << 60;
		while (right - left > 1) {
			long middle = (right + left) / 2;
			if (getLen(middle) > len) {
				right = middle;
			} else {
				left = middle;
			}
		}
		long res = len - getLen(left);
		long[] cnt = cnt(left, K);
		long v = -1;
		for (int i = 0; i <= 60; ++i) {
			if ((right + (1L << i) + 1) % (1L << (i + 1)) == 0) {
				v = (i + 1) * (i + 1);
				break;
			}
		}
		if (v == -1)
			throw new AssertionError();
		while (res > 0) {
			int l = String.valueOf(v).length();
			++cnt[(int) (v / pow10[l - 1])];
			v %= pow10[l - 1];
			--res;
		}
		return cnt;

	}

	long[] cnt(long left, long K) {
		long[] ret = new long[10];
		for (int i = 0; i <= K; ++i) {
			long v = (left + (1L << i) + 1) / (1L << (i + 1));
			long cur = (i + 1) * (i + 1);
			while (cur > 0) {
				ret[(int) (cur % 10)] += v;
				cur /= 10;
			}
		}
		return ret;
	}

	long getLen(long pos) {
		long len = 0;
		for (int i = 0; i <= 60; ++i) {
			long v = (pos + (1L << i) + 1) / (1L << (i + 1));
			len += String.valueOf((i + 1) * (i + 1)).length() * v;
		}
		return len;
	}

	long getFullLen(long K) {
		long len = 0;
		for (int i = 0; i <= K; ++i) {
			len = 2 * len + String.valueOf(i).length();
		}
		return len;
	}

	// ax+b(mo)=V
	// x+0*mo=x
	// 0*x+1*mo=mo;
	long inv(long x, long mo) {
		x %= mo;
		long curA = 1;
		long curB = 0;
		long preA = 0;
		long preB = 1;
		long curV = x;
		long preV = mo;
		while (curV != 1) {
			long q = preV / curV;
			preA -= q * curA;
			preB -= q * curB;
			preV -= q * curV;

			long tmp = curV;
			curV = preV;
			preV = tmp;
			tmp = curA;
			curA = preA;
			preA = tmp;
			tmp = curB;
			curB = preB;
			preB = tmp;
		}
		while (curA < 0)
			curA += mo;
		return curA;
	}

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

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

}
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