stablegradients/pie-gem5-pairs huggingface dataset:
// Slower C++ solution:
#include <bits/stdc++.h>





using namespace std;



vector<vector<int>> vec(100007);

int n;



long long meme[100007][5];





long long solve(int index, int flag){

    if(index==n){

        return 0;

    }

    

    long long &res = meme[index][flag]; 

    

    if(res != -1){

        return res;

    }

    res = 0;

    

    if(flag!=0){

        res = max(res,vec[index][0]+solve(index+1,0));

    }

    if(flag!=1){

        res =  max(res,vec[index][1]+solve(index+1,1));

    }

    if(flag!=2){

        res =  max(res,vec[index][2]+solve(index+1,2));

    }

    return res;

}



int main(){

    cin>>n;

    int num1,num2,num3;

    memset(meme,-1,sizeof(meme));

    for(int i = 0 ; i<n ; i++){

        cin>>num1>>num2>>num3;

        vec[i].push_back(num1);

        vec[i].push_back(num2);

        vec[i].push_back(num3);

    }

    long long sol = solve(0,3);

    cout<<sol<<endl;

    return 0;

}

// Faster C++ solution for the same problem (measured speedup: 7.8887660425954085x):
#include<bits/stdc++.h>

using namespace std;



#define ff              first

#define ss              second

#define ll             long long

#define pb              push_back

#define mp              make_pair

#define pii             pair<ll,ll>

#define vi              vector<ll>

#define mii             map<ll,ll>

#define pqb             priority_queue<ll>

#define pqs             priority_queue<ll,vi,greater<ll> >

#define setbits(x)      __builtin_popcountll(x)

#define zrobits(x)      __builtin_ctzll(x)

#define mod             1000000007

#define inf             1e18

#define ps(x,y)         fixed<<setprecision(y)<<x

#define mk(arr,n,type)  type *arr=new type[n];

#define w(x)            ll x; cin>>x; while(x--)

#define FIO             ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)



struct activity{

ll A,B,C;};



ll solve(ll n,vector<activity>v){

    ll dp[n+1][3];

dp[1][0]=v[1].A;

dp[1][1]=v[1].B;

dp[1][2]=v[1].C;

for(int i=2;i<=n;i++)

{

    dp[i][0]=v[i].A+max(dp[i-1][1],dp[i-1][2]);

    dp[i][1]=v[i].B+max(dp[i-1][0],dp[i-1][2]);

    dp[i][2]=v[i].C+max(dp[i-1][1],dp[i-1][0]);

}



return max(dp[n][0],max(dp[n][1],dp[n][2]));



}



int main()

{

    FIO;

    ll a,b,c,d,e,f=0,sum=0,ans,ck=0,m,n,k,p,q,r,t,add=0,x,y,z;



    string s;



    cin>>n;

    vector<activity>v(n+1);

    for(int i=1;i<=n;i++){cin>>v[i].A;cin>>v[i].B;cin>>v[i].C;}

    ans=solve(n,v);

    cout<<ans<<endl;







    return 0;

}
// Slower C++ solution:
#include <bits/stdc++.h>

#define inf 1000000007

#define N 100007

using namespace std;



int a[N];

int b[N];

int c[N];

int n;

long long mem[N][3];



long long dp(int i, int j)

{

    if(i >= n)

        return 0;

    if(mem[i][j] != -1)

        return mem[i][j];

    long long ans = 0;

    for(int k = 0;k < 3;k++)

    {

        if(k == 0 && k != j)

        {

            long long val = a[i] + dp(i + 1, k);

            ans = max(ans, val);

        }

        if(k == 1 && k != j)

        {

            long long val = b[i] + dp(i + 1, k);

            ans = max(ans, val);

        }

        if(k == 2 && k != j)

        {

            long long val = c[i] + dp(i + 1, k);

            ans = max(ans, val);

        }

    }

    mem[i][j] = ans;

    return ans;

}



int main()

{

    //freopen("input.txt", "r", stdin);

    //freopen("output.txt", "w", stdout);

    cin >> n;

    for(int i = 0;i < n;i++)

        cin >> a[i] >> b[i] >> c[i];

    memset(mem, -1, sizeof(mem));

    long long val1 = dp(0, 0);

    long long val2 = dp(0, 1);

    long long val3 = dp(0, 2);

    long long ans = max(val1, val2);

    ans = max(ans, val3);

    cout << ans << endl;

    return 0;

}

// Faster C++ solution for the same problem (measured speedup: 3.330339202851421x):
#include<bits/stdc++.h>

using namespace std;



#define ff              first

#define ss              second

#define ll             long long

#define pb              push_back

#define mp              make_pair

#define pii             pair<ll,ll>

#define vi              vector<ll>

#define mii             map<ll,ll>

#define pqb             priority_queue<ll>

#define pqs             priority_queue<ll,vi,greater<ll> >

#define setbits(x)      __builtin_popcountll(x)

#define zrobits(x)      __builtin_ctzll(x)

#define mod             1000000007

#define inf             1e18

#define ps(x,y)         fixed<<setprecision(y)<<x

#define mk(arr,n,type)  type *arr=new type[n];

#define w(x)            ll x; cin>>x; while(x--)

#define FIO             ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)



struct activity{

ll A,B,C;};



ll solve(ll n,vector<activity>v){

    ll dp[n+1][3];

dp[1][0]=v[1].A;

dp[1][1]=v[1].B;

dp[1][2]=v[1].C;

for(int i=2;i<=n;i++)

{

    dp[i][0]=v[i].A+max(dp[i-1][1],dp[i-1][2]);

    dp[i][1]=v[i].B+max(dp[i-1][0],dp[i-1][2]);

    dp[i][2]=v[i].C+max(dp[i-1][1],dp[i-1][0]);

}



return max(dp[n][0],max(dp[n][1],dp[n][2]));



}



int main()

{

    FIO;

    ll a,b,c,d,e,f=0,sum=0,ans,ck=0,m,n,k,p,q,r,t,add=0,x,y,z;



    string s;



    cin>>n;

    vector<activity>v(n+1);

    for(int i=1;i<=n;i++){cin>>v[i].A;cin>>v[i].B;cin>>v[i].C;}

    ans=solve(n,v);

    cout<<ans<<endl;







    return 0;

}
// Slower C++ solution:
#include <bits/stdc++.h>

using namespace std;

using ll = long long;

using ii = pair<int, int>;

using iii = pair<ii, int>;

#define vt vector

#define pq priority_queue

#define pb push_back

#define pf push_front

#define mp make_pair

#define fi first

#define se second

#define __lcm(a, b) a * b / __gcd(a, b)

const int MOD = 1e9 + 7;

const int INF = 2e9;

const int N = 1e5 + 5;



int n;

int a[N], b[N], c[N];

int dp[N][5];



int f(int idx, int now) {

    if(idx == n) return 0;

    int &sol = dp[idx][now];

    if(sol != -1) return sol;

    if(now == 0) {

        sol = max(f(idx + 1, 1) + a[idx + 1], 

              max(f(idx + 1, 2) + b[idx + 1], 

                  f(idx + 1, 3) + c[idx + 1]));

    } else if(now == 1) {

        sol = max(f(idx + 1, 2) + b[idx + 1],

                  f(idx + 1, 3) + c[idx + 1]);

    } else if(now == 2) {

        sol = max(f(idx + 1, 1) + a[idx + 1],

                  f(idx + 1, 3) + c[idx + 1]);

    } else {

        sol = max(f(idx + 1, 1) + a[idx + 1],

                  f(idx + 1, 2) + b[idx + 1]);

    }

    return sol;

}



void solve() {

    cin >> n;

    for(int i = 1; i <= n; i++) {

        cin >> a[i] >> b[i] >> c[i];

    }

    memset(dp, -1, sizeof(dp));

    cout << f(0, 0) << "\n";

}



int main() {

 

    ios_base::sync_with_stdio(0);

    cin.tie(0); cout.tie(0);

    

    solve();

    

}

// Faster C++ solution for the same problem (measured speedup: 2.9539686227166673x):
#include<bits/stdc++.h>

using namespace std;



#define ff              first

#define ss              second

#define ll             long long

#define pb              push_back

#define mp              make_pair

#define pii             pair<ll,ll>

#define vi              vector<ll>

#define mii             map<ll,ll>

#define pqb             priority_queue<ll>

#define pqs             priority_queue<ll,vi,greater<ll> >

#define setbits(x)      __builtin_popcountll(x)

#define zrobits(x)      __builtin_ctzll(x)

#define mod             1000000007

#define inf             1e18

#define ps(x,y)         fixed<<setprecision(y)<<x

#define mk(arr,n,type)  type *arr=new type[n];

#define w(x)            ll x; cin>>x; while(x--)

#define FIO             ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)



struct activity{

ll A,B,C;};



ll solve(ll n,vector<activity>v){

    ll dp[n+1][3];

dp[1][0]=v[1].A;

dp[1][1]=v[1].B;

dp[1][2]=v[1].C;

for(int i=2;i<=n;i++)

{

    dp[i][0]=v[i].A+max(dp[i-1][1],dp[i-1][2]);

    dp[i][1]=v[i].B+max(dp[i-1][0],dp[i-1][2]);

    dp[i][2]=v[i].C+max(dp[i-1][1],dp[i-1][0]);

}



return max(dp[n][0],max(dp[n][1],dp[n][2]));



}



int main()

{

    FIO;

    ll a,b,c,d,e,f=0,sum=0,ans,ck=0,m,n,k,p,q,r,t,add=0,x,y,z;



    string s;



    cin>>n;

    vector<activity>v(n+1);

    for(int i=1;i<=n;i++){cin>>v[i].A;cin>>v[i].B;cin>>v[i].C;}

    ans=solve(n,v);

    cout<<ans<<endl;







    return 0;

}
// Slower C++ solution:
#include<bits/stdc++.h>

using namespace std;



int ar[100010][5],n;

int dp[100010][5];



int call(int i,int f)

{



    if(i==n)

        return 0;



    if(dp[i][f]!=-1)

        return dp[i][f];



    int ans=0;



    if(f==0)

        ans+=max(ar[i][1]+call(i+1,1),ar[i][2]+call(i+1,2));



    else if(f==1)

        ans+=max(ar[i][0]+call(i+1,0),ar[i][2]+call(i+1,2));

    else

        ans+=max(ar[i][1]+call(i+1,1),ar[i][0]+call(i+1,0));



        dp[i][f]=ans;

        return ans;



}



int main()

{



    cin>>n;



    for(int i=0;i<n;i++)

        cin>>ar[i][0]>>ar[i][1]>>ar[i][2];



    memset(dp,-1,sizeof dp);



    int ans=max(max(call(0,0),call(0,1)),call(0,2));



    cout<<ans<<endl;



}


// Faster C++ solution for the same problem (measured speedup: 1.361213813731058x):
#include<bits/stdc++.h>

using namespace std;

int a[100000+5];

int b[100000+5];

int c[100000+5];



int main(int argc, char const *argv[])

{

	int N;

	while(cin >> N) {

		memset(a, 0, sizeof(a));

		memset(b, 0, sizeof(b));

		memset(c, 0, sizeof(c));

		for(int i=1; i<=N; i++){

			cin >> a[i] >> b[i] >> c[i];

		}

		for(int i=2; i<=N; i++){

			int tempa = a[i - 1];

			int tempb = b[i - 1];

			int tempc = c[i - 1];

			a[i] = a[i] + max(tempb, tempc);

			b[i] = b[i] + max(tempa, tempc);

			c[i] = c[i] + max(tempa, tempb);

		}

	    cout << max(a[N], max(b[N], c[N])) << endl;

    }

	return 0;

}
// Slower C++ solution:


#include<bits/stdc++.h>

using namespace std;



#define MAX 100000



int dp[MAX+5][4];

int val[MAX+5][4];

int n;



void initialize()

{

    for(int i=0;i<=MAX;i++)

        for(int j=0;j<=3;j++)

            dp[i][j] = -1;

}



int vacation(int i, int j)

{

    if(i<=0) return 0;



  /*  if(i==1)

    {

        return val[i][j];

    }

*/

    if(dp[i][j]!=-1) return dp[i][j];



    int mx = INT_MIN;



    for(int k=1;k<=3;k++)

    {

        if(j==k) continue;



        mx = max(mx, vacation(i-1, k)+ val[i][j]);

    }





    dp[i][j] = mx;



    return mx;

}



int main()

{

    initialize();



    cin>>n;

    for(int i=1;i<=n;i++)

    {

        for(int j=1;j<=3;j++)

            cin>>val[i][j];

    }



    int retVal1 = vacation(n, 1);



    initialize();



    int retVal2 = vacation(n, 2);



    initialize();



    int retVal3 = vacation(n, 3);



    cout<<max({retVal1, retVal2, retVal3})<<endl;



    return 0;

}


// Faster C++ solution for the same problem (measured speedup: 1.645641357407381x):
#include<bits/stdc++.h>

using namespace std;

int a[100000+5];

int b[100000+5];

int c[100000+5];



int main(int argc, char const *argv[])

{

	int N;

	while(cin >> N) {

		memset(a, 0, sizeof(a));

		memset(b, 0, sizeof(b));

		memset(c, 0, sizeof(c));

		for(int i=1; i<=N; i++){

			cin >> a[i] >> b[i] >> c[i];

		}

		for(int i=2; i<=N; i++){

			int tempa = a[i - 1];

			int tempb = b[i - 1];

			int tempc = c[i - 1];

			a[i] = a[i] + max(tempb, tempc);

			b[i] = b[i] + max(tempa, tempc);

			c[i] = c[i] + max(tempa, tempb);

		}

	    cout << max(a[N], max(b[N], c[N])) << endl;

    }

	return 0;

}
// Slower C++ solution:
#include<bits/stdc++.h>

using namespace std;

int arr[100010][5];

int dp[100010][5];



int vac(int a, int b){

	if(a == 0) return 0;

	if(dp[a][b] != -1) return dp[a][b];

	

	for(int i = 1; i <= 3; i++){

		if(i != b){

			dp[a][b] = max(dp[a][b], vac(a - 1,i) + arr[a][i]);

		}

	}

	

	return dp[a][b];

}



int main (){

	memset(dp,-1,sizeof dp);

	int n;

	cin >> n;

	for(int i = 1; i <=n; i++){

		cin >> arr[i][1] >> arr[i][2] >> arr[i][3];

	}

	

	

	int ans = 0;

	for(int i = 1; i <= 3; i++){

		ans = max(ans , vac(n - 1, i) + arr[n][i]);

	}

	

	cout << ans << endl;

	

}

// Faster C++ solution for the same problem (measured speedup: 1.362494545687113x):
#include<bits/stdc++.h>

using namespace std;

int a[100000+5];

int b[100000+5];

int c[100000+5];



int main(int argc, char const *argv[])

{

	int N;

	while(cin >> N) {

		memset(a, 0, sizeof(a));

		memset(b, 0, sizeof(b));

		memset(c, 0, sizeof(c));

		for(int i=1; i<=N; i++){

			cin >> a[i] >> b[i] >> c[i];

		}

		for(int i=2; i<=N; i++){

			int tempa = a[i - 1];

			int tempb = b[i - 1];

			int tempc = c[i - 1];

			a[i] = a[i] + max(tempb, tempc);

			b[i] = b[i] + max(tempa, tempc);

			c[i] = c[i] + max(tempa, tempb);

		}

	    cout << max(a[N], max(b[N], c[N])) << endl;

    }

	return 0;

}
// Slower C++ solution:
#include <bits/stdc++.h>

typedef long long ll;

using namespace std;

const int N = 2e5+10 , M = 5e5+10, OO = 0x3f3f3f3f ,  MOD = 1e9+7;

const double EPS = 1e-3;

#define M_PI 3.14159265358979323846

#define clr(arr,val) memset(arr , val , sizeof (arr))

#define loop(i,n) for(int i = 0;i < int(n);i++)

#define rloop(i,n) for(int i = int(n)-1;i >= 0;i--)

#define range(i,a,b) for(int i = int(a);i <= int(b);i++)

#define pb push_back

#define F first

#define S second

#define all(v) ((v).begin()) , ((v).end())

#define sz(v)  ((int)((v).size()))

typedef pair <int,int> pii ;

typedef vector < pii > vii ;

typedef vector < int > vi;

int dx[]={1,0,-1,0};int dy[]={0,1,0,-1}; //4 Direction

//int dx[]={1,1,0,-1,-1,-1,0,1};int dy[]={0,1,1,1,0,-1,-1,-1};//8 direction

//int dx[]={2,1,-1,-2,-2,-1,1,2};int dy[]={1,2,2,1,-1,-2,-2,-1};//Knight Direction

//int dx[6]={2,1,-1,-2,-1,1};int dy[6]={0,1,1,0,-1,-1}; //Hexagonal Direction

//freopen("input.txt", "r", stdin);

//freopen("output.txt", "w", stdout);







int n,x;

int a[N],b[N],c[N];

ll dp[N][4];





ll solve(int idx, int preC){ //preColour = (1 : a) -- (2 : b) -- (3 : c) -- (0 : invalid)



    if(idx == n) return 0;



    ll& ret = dp[idx][preC];

    if(~ret) return ret;



    ret = -OO;

    if(preC != 1) ret = max(ret, solve(idx+1 , 1)+a[idx]);

    if(preC != 2) ret = max(ret, solve(idx+1 , 2)+b[idx]);

    if(preC != 3) ret = max(ret, solve(idx+1 , 3)+c[idx]);



    return ret;



}







int main(){





    //ios_base::sync_with_stdio(0);

    //cin.tie(0);cout.tie(0);





    scanf("%d",&n);

    for(int i = 0 ; i < n ; ++i)

        scanf("%d %d %d",a+i,b+i,c+i);



    memset(dp, -1 , sizeof dp);

    ll ans = solve(0 , 0);

    printf("%lld\n",ans);







    return 0;

}


// Faster C++ solution for the same problem (measured speedup: 3.4620159022312857x):
#include<bits/stdc++.h>

using namespace std;

int a[100000+5];

int b[100000+5];

int c[100000+5];



int main(int argc, char const *argv[])

{

	int N;

	while(cin >> N) {

		memset(a, 0, sizeof(a));

		memset(b, 0, sizeof(b));

		memset(c, 0, sizeof(c));

		for(int i=1; i<=N; i++){

			cin >> a[i] >> b[i] >> c[i];

		}

		for(int i=2; i<=N; i++){

			int tempa = a[i - 1];

			int tempb = b[i - 1];

			int tempc = c[i - 1];

			a[i] = a[i] + max(tempb, tempc);

			b[i] = b[i] + max(tempa, tempc);

			c[i] = c[i] + max(tempa, tempb);

		}

	    cout << max(a[N], max(b[N], c[N])) << endl;

    }

	return 0;

}
// Slower C++ solution:
#include <iostream>

#include <cstring>

using namespace std;

const int maxn=1e5+5;

const int inf=0x3f3f3f3f;

int dp[maxn][4];

int a[maxn],b[maxn],c[maxn];

int main()

{

   int n;

   cin>>n;

   memset(dp,0,sizeof(dp));

   for(int i=1;i<=n;++i){

       cin>>a[i]>>b[i]>>c[i];

   }

   dp[1][1]=a[1];

   dp[1][2]=b[1];

   dp[1][3]=c[1];

   for(int i=2;i<=n;++i){

       dp[i][1]=max(dp[i-1][2]+a[i],dp[i-1][3]+a[i]);

       dp[i][2]=max(dp[i-1][1]+b[i],dp[i-1][3]+b[i]);

       dp[i][3]=max(dp[i-1][2]+c[i],dp[i-1][1]+c[i]);

   }

   cout<<max(dp[n][1],max(dp[n][2],dp[n][3]))<<endl;

   return 0;

}


// Faster C++ solution for the same problem (measured speedup: 1.1808630615149498x):
#include<bits/stdc++.h>

using namespace std;

int a[100000+5];

int b[100000+5];

int c[100000+5];



int main(int argc, char const *argv[])

{

	int N;

	while(cin >> N) {

		memset(a, 0, sizeof(a));

		memset(b, 0, sizeof(b));

		memset(c, 0, sizeof(c));

		for(int i=1; i<=N; i++){

			cin >> a[i] >> b[i] >> c[i];

		}

		for(int i=2; i<=N; i++){

			int tempa = a[i - 1];

			int tempb = b[i - 1];

			int tempc = c[i - 1];

			a[i] = a[i] + max(tempb, tempc);

			b[i] = b[i] + max(tempa, tempc);

			c[i] = c[i] + max(tempa, tempb);

		}

	    cout << max(a[N], max(b[N], c[N])) << endl;

    }

	return 0;

}
// Slower C++ solution:
#include<bits/stdc++.h>

using namespace std;



int const N=1e5+5, M=1e9+7, OO = 0x3f3f3f3f;



int n;

int arr[3][N];



int mem[N][4];

int solve(int i, int last)

{

    if(i==n)

        return 0;

    if(mem[i][last]!=-1)

        return mem[i][last];

    int op1= (last!=1) ? solve(i+1, 1)+arr[0][i] : 0;

    int op2= (last!=2) ? solve(i+1, 2)+arr[1][i] : 0;

    int op3= (last!=3) ? solve(i+1, 3)+arr[2][i] : 0;

    return mem[i][last]=max(op1,max(op2,op3));

}





int main()

{

//    freopen("input.txt","rt",stdin);

//    freopen("output.txt","wt",stdout);

    scanf("%d",&n);

    for(int i=0; i<n; i++)

        scanf("%d %d %d",arr[0]+i,arr[1]+i,arr[2]+i);

    memset(mem, -1, sizeof mem);

    printf("%d\n",solve(0,0));







    return 0;

}


// Faster C++ solution for the same problem (measured speedup: 1.1724757409804074x):
#include<bits/stdc++.h>

using namespace std;

int a[100000+5];

int b[100000+5];

int c[100000+5];



int main(int argc, char const *argv[])

{

	int N;

	while(cin >> N) {

		memset(a, 0, sizeof(a));

		memset(b, 0, sizeof(b));

		memset(c, 0, sizeof(c));

		for(int i=1; i<=N; i++){

			cin >> a[i] >> b[i] >> c[i];

		}

		for(int i=2; i<=N; i++){

			int tempa = a[i - 1];

			int tempb = b[i - 1];

			int tempc = c[i - 1];

			a[i] = a[i] + max(tempb, tempc);

			b[i] = b[i] + max(tempa, tempc);

			c[i] = c[i] + max(tempa, tempb);

		}

	    cout << max(a[N], max(b[N], c[N])) << endl;

    }

	return 0;

}
// Slower C++ solution:
#include <bits/stdc++.h>



using namespace std;



const int N = 1e5 + 9, OO = 0x3f3f3f3f;



int n, points[N][3], dp[N][4];



int solve(int i, int prev){

    if(i == n)  return 0;



    int &ret = dp[i][prev];

    if(~ret)    return ret;



    ret = 0;

    for(int j = 0;j < 3;j++)

        if(prev != j)   ret = max(ret, points[i][j] + solve(i + 1, j));





    return ret;

}



int main(){



    cin >> n;

    for(int i = 0;i < n;i++)

        cin >> points[i][0] >> points[i][1] >> points[i][2];



    memset(dp, -1, sizeof dp);



    cout << solve(0, 3);

}


// Faster C++ solution for the same problem (measured speedup: 1.1793561584668406x):
#include<bits/stdc++.h>

using namespace std;

int a[100000+5];

int b[100000+5];

int c[100000+5];



int main(int argc, char const *argv[])

{

	int N;

	while(cin >> N) {

		memset(a, 0, sizeof(a));

		memset(b, 0, sizeof(b));

		memset(c, 0, sizeof(c));

		for(int i=1; i<=N; i++){

			cin >> a[i] >> b[i] >> c[i];

		}

		for(int i=2; i<=N; i++){

			int tempa = a[i - 1];

			int tempb = b[i - 1];

			int tempc = c[i - 1];

			a[i] = a[i] + max(tempb, tempc);

			b[i] = b[i] + max(tempa, tempc);

			c[i] = c[i] + max(tempa, tempb);

		}

	    cout << max(a[N], max(b[N], c[N])) << endl;

    }

	return 0;

}
// Slower C++ solution:
//#include <bits/stdc++.h>

#include <algorithm>

#include <iostream>

#include <iomanip>

#include <cstdio>

#include <cstdlib>

#include <cmath>

#include <cstring>

#include <vector>

#include <string>

#include <climits>

#include <map>

#include <set>

#include <stack>

#include <queue>

#include <deque>

#include <stdio.h>

//#define int long long

using namespace std;

#define loop(n) for(int i=0;i<n;i++)

#define endl '\n'

#define OnlineJudgec

#define F first

#define S second

#define  precision(n)  cout << fixed << setprecision(n)

#define clr(v,d ) memset(v, d, sizeof(v))

typedef long long ll;

typedef vector<int> vi;

void init()

{

    cin.tie(0);

    cin.sync_with_stdio(0);

    cout.tie(0);

    #ifdef OnlineJudge

    freopen("input.txt","r",stdin);

    freopen("output.txt","w",stdout);

    #endif

}

ll S(ll x){ll s = 0;while(x){s += x % 10;x /= 10;}return s;} /// sum of digits.

ll powe(ll a , ll n){if(n == 1)return a;return a * powe(a ,n-1);}

ll com(int n,int m){ll z = 1;for(int i = 0; i < m;i++){z = z * ( n - i) / (i + 1) ;}return z;}

int dx[] = {1,-1,0,0};

int dy[] = {0,0,1,-1};

int dr[] = {0,0,0,1,1,1,-1,-1,-1};

int dc[] ={-1,0,1,-1,0,1,-1,0,1};

/// <<------------------------------------------------------------------------------>>

const int mx = 100009;

int n , k;

int arr[mx][4];

int dp[mx][4];

int solve(int idx , int last)

{

     if(idx == n)return 0;

     int &ret = dp[idx][last];

     if(~ret) return ret;

     int A = 0 ,B = 0 ,C = 0;

     if(last != 0)

        A = solve(idx+1 , 0) + arr[idx][0];

     if(last != 1)

        B = solve(idx+1 , 1) + arr[idx][1];

     if(last != 2)

        C = solve(idx+1 , 2) + arr[idx][2];

     return ret = max(A,max(B,C));

}

/// <<------------------------------------------------------------------------------>>

int main()

{

    init();

    cin >> n;

    for(int i = 0 ;i < n;i++)

    {

        cin >> arr[i][0] >> arr[i][1] >> arr[i][2];

    }

    clr(dp,-1);

    cout<<solve(0,3);

}


// Faster C++ solution for the same problem (measured speedup: 1.185933183093226x):
#include<bits/stdc++.h>

using namespace std;

int a[100000+5];

int b[100000+5];

int c[100000+5];



int main(int argc, char const *argv[])

{

	int N;

	while(cin >> N) {

		memset(a, 0, sizeof(a));

		memset(b, 0, sizeof(b));

		memset(c, 0, sizeof(c));

		for(int i=1; i<=N; i++){

			cin >> a[i] >> b[i] >> c[i];

		}

		for(int i=2; i<=N; i++){

			int tempa = a[i - 1];

			int tempb = b[i - 1];

			int tempc = c[i - 1];

			a[i] = a[i] + max(tempb, tempc);

			b[i] = b[i] + max(tempa, tempc);

			c[i] = c[i] + max(tempa, tempb);

		}

	    cout << max(a[N], max(b[N], c[N])) << endl;

    }

	return 0;

}