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Crazy numbers P37813
Given three natural numbers b, d and n, let us say that a natural number x is crazy if x is a multiple of n, and x represented in base b
- has exactly d digits (maybe with a leading zero),
- and does not have two equal consecutive digits.
Given b, d and n, can you find all crazy numbers?
Input
Input consists of several cases, each one with b, d and n. You can assume 3 ≤ b ≤ 10, d ≥ 1, and n < bd ≤ 1017.
Output
For every case, print in order and with exactly d digits all crazy numbers in base b, followed by a line with ten dashes. All given cases are such that there are between 1 and 100 crazy numbers.
Observation
The expected solution requires less than 0.1 seconds to solve Sample input 2.
Public test cases
Input
10 1 5 10 9 123456789 4 5 108 5 24 98765432109876
Output
0 5 ---------- 123456789 246913578 370370367 493827156 617283945 740740734 864197523 987654312 ---------- 01230 03120 20130 ---------- 032043431321202432312313 121312313043034230314202 142103021401412342123403 320434313212024323123130 430242010421032012421213 ----------
Input
3 35 959849555
Output
01010120212021021202102120121212021 01010210202101210120212021012020212 01012102010202121012121210121202120 01020101012010120201210102120121012 01020102102102021202101012010102120 01020121021012102102120121010201012 01202012120201210210120120210202101 01202120210202102121012120210120102 01202120212101202020210120120201212 01212020210212010210201012021212020 02010210102102120121010201020101202 02010212020102120202120101021021202 02012020120121010102012012101010201 02020101020121201010120102121210120 02020201012121201021201021012120201 02021021201212010121012121010102010 02102020201020101012012010201021021 02120102012120101212021021212010120 02121020120101020212102121210101012 10101020212021012010210201010120201 10101202120210212021021201212120210 10102102021012101202120210120202120 10201010120101202012101021201210120 10201210210121021021201210102010120 12010102012021201202012121210102101 12010202120210121210202021201202021 12020121202012102101201202102021010 12021202102021021210121202101201020 12021202121012020202101201202012120 12101012101210210212012010201210202 12102101212121020202010120120120212 12121202020121010102101201201020212 20101010212101201202101021012010101 20102101021021201210102010201012020 20102120201021202021201010210212020 20120120102010102021020202010202102 20120120121210202020101202101201212 20120201201210101020120121010102010 20120210202102020201212020212101021 20121212102121201010201202102101212 20201012120120120210120201201012121 20202010121212010212010210121202010 20212012121201010101010120120212102 20212121201020201202020102020212121 21012010202101020201202010210212021 21020202010201010120120102010210210 21020210120102021202021201020101201 21021010212120120212120212101202021 21021201021020202020201201202120202 21201020202010210102102021202010212 21210201201010202121021212101010120 21210210101010101210102101210121012 21212021202012012012012020210202102 ----------
Information
- Author
- Salvador Roura
- Language
- English
- Official solutions
- C++
- User solutions
- C++