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[20251203] BOJ / G5 / 합분해 / 설진영
Implement dynamic programming solution for the 합분해 problem.
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```java
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import java.io.*;
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import java.util.*;
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public class Main {
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static final int MOD = 1_000_000_000;
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public static void main(String[] args) throws IOException {
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BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
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StringTokenizer st = new StringTokenizer(br.readLine());
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int N = Integer.parseInt(st.nextToken());
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int K = Integer.parseInt(st.nextToken());
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int[][] dp = new int[K + 1][N + 1];
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for (int n = 0; n <= N; n++) {
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dp[1][n] = 1;
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}
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for (int k = 2; k <= K; k++) {
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dp[k][0] = 1;
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for (int n = 1; n <= N; n++) {
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dp[k][n] = (dp[k][n - 1] + dp[k - 1][n]) % MOD;
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}
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}
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System.out.println(dp[K][N]);
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}
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}
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```

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