[20251104] BOJ / G5 / 축구 / 김수연

suyeun84/202511/04 BOJ G5 축구.md

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+```java
+import java.io.BufferedReader;
+import java.io.IOException;
+import java.io.InputStreamReader;
+
+public class Main {
+    public static void main(String[] args) throws IOException {
+        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
+
+        double A = Double.parseDouble(br.readLine()) / 100;
+        double B = Double.parseDouble(br.readLine()) / 100;
+
+        double[][][] dp = new double[19][19][19];
+
+        dp[0][0][0] = 1.0;
+
+        for (int i = 1; i < 19; i++) {
+            for (int j = 0; j <= i; j++) {
+                for (int k = 0; k <= i; k++) {
+                    if (j > 0) { // A팀
+                        dp[i][j][k] += dp[i - 1][j - 1][k] * A * (1 - B);
+                    }
+                    if (k > 0) { // B팀
+                        dp[i][j][k] += dp[i - 1][j][k - 1] * (1 - A) * (B);
+                    }
+
+                    if (j > 0 && k > 0) { // A팀, B팀
+                        dp[i][j][k] += dp[i - 1][j - 1][k - 1] * A * B;
+                    }
+
+                    // 둘 다 넣지 않을 경우
+                    dp[i][j][k] += dp[i - 1][j][k] * (1 - A) * (1 - B);
+                }
+            }
+        }
+
+        double answer = 0;
+
+        for (int i = 0; i < 19; i++) {
+            for (int j = 0; j < 19; j++) {
+                if (isPrime(i) || isPrime(j)) {
+                    answer += dp[18][i][j];
+                }
+            }
+        }
+
+        System.out.printf("%.16f", answer);
+    }
+
+    static boolean isPrime(int num) {
+        if (num < 2) {
+            return false;
+        }
+
+        for (int i = 2; i * i <= num; i++) {
+            if (num % i == 0) {
+                return false;
+            }
+        }
+
+        return true;
+    }
+}
+```