Problem:
Score : 100 points

Problem Statement

Taro's summer vacation starts tomorrow, and he has decided to make plans for it now.

The vacation consists of N days.
For each i (1 \leq i \leq N), Taro will choose one of the following activities and do it on the i-th day:

A: Swim in the sea. Gain a_i points of happiness.

B: Catch bugs in the mountains. Gain b_i points of happiness.

C: Do homework at home. Gain c_i points of happiness.

As Taro gets bored easily, he cannot do the same activities for two or more consecutive days.

Find the maximum possible total points of happiness that Taro gains.

Constraints

All values in input are integers.

1 \leq N \leq 10^5

1 \leq a_i, b_i, c_i \leq 10^4

Input

Input is given from Standard Input in the following format:

N
a_1 b_1 c_1
a_2 b_2 c_2
:
a_N b_N c_N

Output

Print the maximum possible total points of happiness that Taro gains.

Sample Input 1

3
10 40 70
20 50 80
30 60 90

Sample Output 1

210

If Taro does activities in the order C, B, C, he will gain 70 + 50 + 90 = 210 points of happiness.

Sample Input 2

1
100 10 1

Sample Output 2

100

Sample Input 3

7
6 7 8
8 8 3
2 5 2
7 8 6
4 6 8
2 3 4
7 5 1

Sample Output 3

46

Taro should do activities in the order C, A, B, A, C, B, A.

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.stream.LongStream;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.OptionalLong;
import java.util.StringTokenizer;
import java.io.BufferedReader;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author dyominov
 */
public class Main {
  public static void main(String[] args) {
    InputStream inputStream = System.in;
    OutputStream outputStream = System.out;
    InputReader in = new InputReader(inputStream);
    PrintWriter out = new PrintWriter(outputStream);
    CVacation solver = new CVacation();
    solver.solve(1, in, out);
    out.close();
  }

  static class CVacation {
    public void solve(int testNumber, InputReader in, PrintWriter out) {
      int n = in.nextInt();
      int m = 3;
      long[][] arr = new long[n][m];
      for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
          arr[i][j] = in.nextInt();
        }
      }
      long[][] dp = new long[n][m];
      dp[0] = arr[0];
      int f1 = 0;
      int s1 = 1;
      int t1 = 2;
      int f2 = 0;
      int s2 = 1;
      int t2 = 2;
      int f3 = 0;
      int s3 = 1;
      int t3 = 2;
      for (int i = 1; i < n; i++) {
        if (arr[i][s1] >= arr[i][t1]) {
          dp[i][0] = dp[i - 1][0] + arr[i][s1];
          s1 ^= f1;
          f1 ^= s1;
          s1 ^= f1;
        } else {
          dp[i][0] = dp[i - 1][0] + arr[i][t1];
          t1 ^= f1;
          f1 ^= t1;
          t1 ^= f1;
        }
        if (arr[i][f2] >= arr[i][t2]) {
          dp[i][1] = dp[i - 1][1] + arr[i][f2];
          s2 ^= f2;
          f2 ^= s2;
          s2 ^= f2;
        } else {
          dp[i][1] = dp[i - 1][1] + arr[i][t2];
          t2 ^= s2;
          s2 ^= t2;
          t2 ^= s2;
        }
        if (arr[i][f3] >= arr[i][s3]) {
          dp[i][2] = dp[i - 1][2] + arr[i][f3];
          f3 ^= t3;
          t3 ^= f3;
          f3 ^= t3;
        } else {
          dp[i][2] = dp[i - 1][2] + arr[i][s3];
          s3 ^= t3;
          t3 ^= s3;
          s3 ^= t3;
        }
      }
      out.println(Arrays.stream(dp[n - 1]).max().getAsLong());
    }

  }

  static class InputReader implements AutoCloseable {
    private BufferedReader reader;
    private StringTokenizer tokenizer;

    public InputReader(InputStream stream) {
      //reader = new BufferedReader(new FileReader(stream), 32768);
      reader = new BufferedReader(new InputStreamReader(stream), 32768);
      tokenizer = null;
    }

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

    public int nextInt() {
      return Integer.parseInt(next());
    }

    public void close() {
    }

  }
}