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| 1 | +package backjoon; |
| 2 | +// https://www.acmicpc.net/problem/10844 |
| 3 | +import java.io.BufferedReader; |
| 4 | +import java.io.IOException; |
| 5 | +import java.io.InputStreamReader; |
| 6 | + |
| 7 | +public class _10844 { |
| 8 | + |
| 9 | + static Long[][] dp; |
| 10 | + static int N; |
| 11 | + final static long MOD = 1000000000; |
| 12 | + |
| 13 | + public static void main(String[] args) throws IOException { |
| 14 | + BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); |
| 15 | + N = Integer.parseInt(br.readLine()); |
| 16 | + dp = new Long[N + 1][10]; |
| 17 | + |
| 18 | + // ์ฒซ๋ฒ์งธ ์๋ฆฟ์๋ 1๋ก ์ด๊ธฐํ |
| 19 | + for(int i = 0; i < 10; i++) { |
| 20 | + dp[1][i] = 1L; |
| 21 | + } |
| 22 | + |
| 23 | + long result = 0; |
| 24 | + |
| 25 | + // ๋ง์ง๋ง ์๋ฆฟ์์ธ 1~9๊น์ง์ ๊ฒฝ์ฐ์ ์๋ฅผ ๋ชจ๋ ๋ํด์ค๋ค. |
| 26 | + for(int i = 1; i <= 9; i++) { |
| 27 | + result += recur(N, i); |
| 28 | + } |
| 29 | + System.out.println(result % MOD); |
| 30 | + } |
| 31 | + |
| 32 | + static long recur(int digit, int val) { |
| 33 | + |
| 34 | + if(digit == 1) { |
| 35 | + return dp[digit][val]; |
| 36 | + } |
| 37 | + |
| 38 | + // ํด๋น ์๋ฆฌ์์ val๊ฐ์ ๋ํด ํ์ํ์ง ์์์ ๊ฒฝ์ฐ |
| 39 | + if(dp[digit][val] == null) { |
| 40 | + // val์ด 0์ผ๊ฒฝ์ฐ ๋ค์์ 1๋ฐ์ ๋ชป์ด |
| 41 | + if(val == 0) { |
| 42 | + dp[digit][val] = recur(digit - 1 ,1); |
| 43 | + } |
| 44 | + // val์ด 1์ผ๊ฒฝ์ฐ ๋ค์์ 8๋ฐ์ ๋ชป์ด |
| 45 | + else if(val== 9) { |
| 46 | + dp[digit][val] = recur(digit - 1, 8); |
| 47 | + } |
| 48 | + // ๊ทธ ์ธ์ ๊ฒฝ์ฐ๋ val-1๊ณผ val+1 ๊ฐ์ ๊ฒฝ์ฐ์ ์๋ฅผ ํฉํ ๊ฒฝ์ฐ์ ์๊ฐ ๋จ |
| 49 | + else { |
| 50 | + dp[digit][val] = recur(digit - 1, val - 1) + recur(digit - 1, val + 1); |
| 51 | + } |
| 52 | + } |
| 53 | + return dp[digit][val] % MOD; |
| 54 | + } |
| 55 | +} |
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