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  1. #include <bits/stdc++.h>
  2. using namespace std;
  3. int n;
  4. long double p[3005];
  5. long double dp[3005][3005];
  6.  
  7. main() {
  8. ios_base::sync_with_stdio(false);
  9. cin.tie(0); cout.tie(0);
  10. freopen("TEST.inp", "r", stdin);
  11. freopen("TEST.out", "w", stdout);
  12. cin >> n;
  13. for (int i = 1; i <= n; i++) cin >> p[i];
  14.  
  15. dp[1][0] = 1 - p[1];
  16. dp[1][1] = p[1];
  17. for (int i = 2; i <= n; i++) {
  18. for (int j = 0; j <= i; j++) {
  19. dp[i][j] += dp[i - 1][j - 1] * p[i] + dp[i - 1][j] * (1 - p[i]);
  20. }
  21. }
  22. long double ans = 0;
  23. for (int i = n / 2 + 1; i <= n; i++) ans += dp[n][i];
  24.  
  25. cout << fixed << setprecision(9) << ans << '\n';
  26.  
  27. return 0;
  28. }
  29.  
Success #stdin #stdout 0.01s 5284KB
stdin
Standard input is empty
stdout
Standard output is empty