import java.util.Arrays;

public class Main {
  private static void solve() {
    int n = ni();
    int[] t = na(n);
    int[] v = na(n);
    
    int m = Arrays.stream(t).sum();
    double[] dv = new double[m + 2];
    double[] dl = new double[m + 2];
    int ptr = 1;
    for (int i = 0; i < n; i ++) {
      for (int j = 0; j < t[i]; j ++) {
        dl[ptr ++] = v[i];
      }
    }
    
    
    for (int i = 0; i < m; i ++) {
      dv[i + 1] = Math.min(dl[i + 1], dv[i] + 1);
    }

    dv[m] = 0;
    for (int i = m; i >= 1; i --) {
      dv[i - 1] = Math.min(dv[i - 1], Math.min(dl[i], dv[i] + 1));
    }
    
    double ret = 0;
    for (int i = 0; i < m; i ++) {
      ret += (dv[i] + dv[i + 1]) / 2;
      if (dv[i] == dv[i + 1] && dv[i] < dl[i + 1]) {
        ret += 0.25;
      }
    }
    
    System.out.println(ret);
  }

  public static void main(String[] args) {
    new Thread(null, new Runnable() {
      @Override
      public void run() {
        long start = System.currentTimeMillis();
        String debug = args.length > 0 ? args[0] : null;
        if (debug != null) {
          try {
            is = java.nio.file.Files.newInputStream(java.nio.file.Paths.get(debug));
          } catch (Exception e) {
            throw new RuntimeException(e);
          }
        }
        reader = new java.io.BufferedReader(new java.io.InputStreamReader(is), 32768);
        solve();
        out.flush();
        tr((System.currentTimeMillis() - start) + "ms");
      }
    }, "", 64000000).start();
  }

  private static java.io.InputStream is = System.in;
  private static java.io.PrintWriter out = new java.io.PrintWriter(System.out);
  private static java.util.StringTokenizer tokenizer = null;
  private static java.io.BufferedReader reader;

  public static String next() {
    while (tokenizer == null || !tokenizer.hasMoreTokens()) {
      try {
        tokenizer = new java.util.StringTokenizer(reader.readLine());
      } catch (Exception e) {
        throw new RuntimeException(e);
      }
    }
    return tokenizer.nextToken();
  }

  private static double nd() {
    return Double.parseDouble(next());
  }

  private static long nl() {
    return Long.parseLong(next());
  }

  private static int[] na(int n) {
    int[] a = new int[n];
    for (int i = 0; i < n; i++)
      a[i] = ni();
    return a;
  }

  private static char[] ns() {
    return next().toCharArray();
  }

  private static long[] nal(int n) {
    long[] a = new long[n];
    for (int i = 0; i < n; i++)
      a[i] = nl();
    return a;
  }

  private static int[][] ntable(int n, int m) {
    int[][] table = new int[n][m];
    for (int i = 0; i < n; i++) {
      for (int j = 0; j < m; j++) {
        table[i][j] = ni();
      }
    }
    return table;
  }

  private static int[][] nlist(int n, int m) {
    int[][] table = new int[m][n];
    for (int i = 0; i < n; i++) {
      for (int j = 0; j < m; j++) {
        table[j][i] = ni();
      }
    }
    return table;
  }

  private static int ni() {
    return Integer.parseInt(next());
  }

  private static void tr(Object... o) {
    if (is != System.in)
      System.out.println(java.util.Arrays.deepToString(o));
  }
}




Measured memory_bytes: 26836