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 C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

//template by I_Love_Totoro, inspired by chamow
//Doing VC Everyday #SpecialistByMarch
//refer cook_book and AC  of/Ubuntu folder _FunWithCP_ dated:16/03/2020- for POC and more insights respectively
//interactive comments ahead! : for the love of CP <3
//note to self:for the love of everything good, uncomment fastread whenever applicable :) 

/* footnotes/ obs
*
*/

/*main idea:
*
*/

/*similar to:
*
*/

/*re-learnt/ got better clarity
*
*/

/*corollary
*
*/

#include <bits/stdc++.h>
#define pb push_back
#define mp make_pair
#define X first
#define Y second
#define rep(i,a,n) for(i=a;i<n;i++)
#define repe(i,a,n) for(i=a;i<=n;i++)
#define repn(i,a,n) for(i=n;i>=a;i--)
#define all(x) (x).begin(),(x).end()
#define PI (atan(1)*4)
#define INF (int)1e9

#define fastread ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
//typedef vec vector<ll>
typedef long long ll;
typedef long double ld;
typedef long int li;

using namespace std;

ll lcm(ll val1,ll val2)
{
	if(val1==0||val2==0)
		return 0;
	else
		return (val1*val2)/__gcd(val1,val2);
}

ll pw(ll base,ll p)
{
	if(base==1||p==0)				
		return 1;
	if(p%2==0){
		ll interm=pw(base,p/2);
		return interm*interm;

	}
	else
		return base*pw(base,p-1);

}

int main()
{

	//fastread;
	/*
	freopen("input.txt","r",stdin);
    freopen("output.txt","w",stdout);
    */
	
	ll n, a, b, c, ansa = 0, ansb = 0, ansc = 0;
	cin>>n;

	vector<vector<ll>>dp(n,vector<ll>(3,0));

	for (ll i = 0; i < n; i ++) {
		cin>>a>>b>>c;

		if (i == 0)
			ansa += a,ansb += b,ansc += c;//dp[i][0] = a, dp[i][1] = b, dp[i][2] = c;
		else {
			/*dp[i][0]*/ansa += max(b,c);
			ansb += max(a,c);
			ansc += max(a,b);
		}
	}
	cout<<max(ansa,max(ansb,ansc))<<"\n";//max(dp[n-1][0],max(dp[n-1][1],dp[n-1][2]))<<"\n";
	return 0;
}