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



using namespace std;



    const int n = 1e5+5;

    int num;

    int act[n][3];

    int dyn[3][n];

    

    int init(int a, int i){

        

    	if(i == num) return 0;

    	

    	if(dyn[a][i] != -1) return dyn[a][i];

    	int& res = dyn[a][i];

    	

    	if(a==0){

    	    

    		res=max(res, init(1, i+1)+act[i][0]);

    		res=max(res, init(2, i+1)+act[i][0]);

    	}

    	

    	if(a==1){

    	    

    		res=max(res, init(0, i+1)+act[i][1]);

    		res=max(res, init(2, i+1)+act[i][1]);

    	}

    	

    	if(a==2){

    	    

    		res=max(res, init(0, i+1)+act[i][2]);

    		res=max(res, init(1, i+1)+act[i][2]);

    	}

    	

    	

    	return res;

    }

    

    int main(){

        

    	cin>>num;

    	for(int i=0; i<num; i++) cin>>act[i][0]>>act[i][1]>>act[i][2];

    	memset(dyn, -1, sizeof dyn);

    	cout<<max(init(0,0),max(init(1,0),init(2,0)))<<"\n";

    	return 0;

    	

    }

// Faster C++ solution for the same problem (measured speedup: 2.1583964666764377x):
#include<bits/stdc++.h>

using namespace std;

const int inf=0x3f3f3f3f;

void A() {

    int n;

    cin>>n;

    vector<int> a(n,0);

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

        cin>>a[i];

    vector<int> dp(n+1,inf);

    dp[0]=0;

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

        dp[i]=min(dp[i],dp[i-1]+abs(a[i]-a[i-1]));

        if(i>=2)

            dp[i]=min(dp[i],dp[i-2]+abs(a[i]-a[i-2]));

    }

    cout<<dp[n-1]<<endl;



}

void B() {

    int n,k;

    cin>>n>>k;

    vector<int> dp(n+1,inf);

    vector<int> h(n,0);

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

        cin>>h[i];

    dp[0]=0;

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

        for(int len=1; len<=min(k+1,i+1); len++) {

            int j=i-len+1;

            dp[i]=min(dp[i],dp[j]+abs(h[j]-h[i]));

        }

    }

    cout<<dp[n-1]<<endl;

}

void C() {

    int n;

    cin>>n;

    vector<vector<int>> a(n,vector<int>(3,0));

    for(int i=0;i<n;i++) cin>>a[i][0]>>a[i][1]>>a[i][2];

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

    dp[0][0]=a[0][0];

    dp[0][1]=a[0][1];

    dp[0][2]=a[0][2];

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

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

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

                if(j==k)

                    continue;

                dp[i][j]=max(dp[i][j],dp[i-1][k]+a[i][j]);

                //cout<<dp[i][j]<<endl;

            }

        }

    }

    cout<<max(dp[n-1][0],max(dp[n-1][1],dp[n-1][2]))<<endl;

}

int main() {

    ios::sync_with_stdio(false);

    cin.tie(0);

    C();

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

#include <string.h>

#define MAXN 100003



int array_a[MAXN][3];

int array_d[MAXN][3];



int max(int a,int b){

	return a>b? a:b;

}



int main(){

	memset(array_a,-1,sizeof(int)*MAXN*3);

	memset(array_d,-1,sizeof(int)*MAXN*3);

	int N;

	scanf("%d",&N);



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

		scanf("%d %d %d",&array_a[i][0],&array_a[i][1],&array_a[i][2]);

	}



	array_d[0][0]=array_a[0][0];

	array_d[0][1]=array_a[0][1];

	array_d[0][2]=array_a[0][2];

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

		array_d[i][0]=array_a[i][0]+max(array_d[i-1][1],array_d[i-1][2]);

		array_d[i][1]=array_a[i][1]+max(array_d[i-1][0],array_d[i-1][2]);

		array_d[i][2]=array_a[i][2]+max(array_d[i-1][0],array_d[i-1][1]);

	}

	printf("%d",max(array_d[N-1][0],max(array_d[N-1][1],array_d[N-1][2])));

	return 0;



}

// Faster C++ solution for the same problem (measured speedup: 2.533275335611924x):
#include<bits/stdc++.h>

using namespace std;

const int inf=0x3f3f3f3f;

void A() {

    int n;

    cin>>n;

    vector<int> a(n,0);

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

        cin>>a[i];

    vector<int> dp(n+1,inf);

    dp[0]=0;

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

        dp[i]=min(dp[i],dp[i-1]+abs(a[i]-a[i-1]));

        if(i>=2)

            dp[i]=min(dp[i],dp[i-2]+abs(a[i]-a[i-2]));

    }

    cout<<dp[n-1]<<endl;



}

void B() {

    int n,k;

    cin>>n>>k;

    vector<int> dp(n+1,inf);

    vector<int> h(n,0);

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

        cin>>h[i];

    dp[0]=0;

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

        for(int len=1; len<=min(k+1,i+1); len++) {

            int j=i-len+1;

            dp[i]=min(dp[i],dp[j]+abs(h[j]-h[i]));

        }

    }

    cout<<dp[n-1]<<endl;

}

void C() {

    int n;

    cin>>n;

    vector<vector<int>> a(n,vector<int>(3,0));

    for(int i=0;i<n;i++) cin>>a[i][0]>>a[i][1]>>a[i][2];

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

    dp[0][0]=a[0][0];

    dp[0][1]=a[0][1];

    dp[0][2]=a[0][2];

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

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

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

                if(j==k)

                    continue;

                dp[i][j]=max(dp[i][j],dp[i-1][k]+a[i][j]);

                //cout<<dp[i][j]<<endl;

            }

        }

    }

    cout<<max(dp[n-1][0],max(dp[n-1][1],dp[n-1][2]))<<endl;

}

int main() {

    ios::sync_with_stdio(false);

    cin.tie(0);

    C();

}
// Slower C++ solution:
//       Author: Mostafa Mounir Shehab

 

#include <bits/stdc++.h>

using namespace std;

 

#define PI  3.14159265  // PI = acos(-1)

#define EPS (1e-10)

#define endl "\n"

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

typedef long long ll;

typedef long double ld;

//template <class Type>

 

 

void Fast(){

	std::ios_base::sync_with_stdio(0);

	cin.tie(NULL); cout.tie(NULL); cerr.tie(NULL);

}

 

inline int D(){

	int t;

	scanf("%d",&t);

	return t;

}

inline ll llD(){

	ll t;

	scanf("%lld",&t);

	return t;

}

 

 

ll MOD=1e9 + 7; 

const int N=1e5 + 5,M=50 + 1;

int arr[N][4];

ll dp[N][4];

ll OO=1e12; 

 

ll n,m,k,cnt,SU,idx,len,MN,MX;

ll l,r,mid;

ll a,b,c,d;



ll Solve(int idx,int row){

	

		

	if(idx == n)

		return 0;

	

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

	if(~ret)

		return ret;

	

	ret = -OO;

	

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

		if(row != i)

			ret = max(ret,arr[idx][i] + Solve(idx+1,i));

	

	return ret;

}







 

 

int main(){

	

	memset(dp, -1 ,sizeof dp);

	cin>>n;

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

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



	cout<<Solve(0,0)<<endl;

	



	





}

// Faster C++ solution for the same problem (measured speedup: 4.133765228356432x):
#include<bits/stdc++.h>

using namespace std;

const int inf=0x3f3f3f3f;

void A() {

    int n;

    cin>>n;

    vector<int> a(n,0);

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

        cin>>a[i];

    vector<int> dp(n+1,inf);

    dp[0]=0;

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

        dp[i]=min(dp[i],dp[i-1]+abs(a[i]-a[i-1]));

        if(i>=2)

            dp[i]=min(dp[i],dp[i-2]+abs(a[i]-a[i-2]));

    }

    cout<<dp[n-1]<<endl;



}

void B() {

    int n,k;

    cin>>n>>k;

    vector<int> dp(n+1,inf);

    vector<int> h(n,0);

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

        cin>>h[i];

    dp[0]=0;

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

        for(int len=1; len<=min(k+1,i+1); len++) {

            int j=i-len+1;

            dp[i]=min(dp[i],dp[j]+abs(h[j]-h[i]));

        }

    }

    cout<<dp[n-1]<<endl;

}

void C() {

    int n;

    cin>>n;

    vector<vector<int>> a(n,vector<int>(3,0));

    for(int i=0;i<n;i++) cin>>a[i][0]>>a[i][1]>>a[i][2];

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

    dp[0][0]=a[0][0];

    dp[0][1]=a[0][1];

    dp[0][2]=a[0][2];

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

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

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

                if(j==k)

                    continue;

                dp[i][j]=max(dp[i][j],dp[i-1][k]+a[i][j]);

                //cout<<dp[i][j]<<endl;

            }

        }

    }

    cout<<max(dp[n-1][0],max(dp[n-1][1],dp[n-1][2]))<<endl;

}

int main() {

    ios::sync_with_stdio(false);

    cin.tie(0);

    C();

}
// Slower C++ solution:
#define _CRT_SECURE_NO_WARNINGS

#include <bits/stdc++.h>

#include <unordered_map>

#define stop(x) {cout<<x<<endl;exit(0);}

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

#define szz(s) int(s.size())

#define endl '\n'

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

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

typedef long long ll;

using namespace std;



void file() {

    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

#ifndef ONLINE_JUDGE

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

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

#endif

}





ll n;

ll mem[100004][4];

vector < vector < int > > v;



ll solve(int idx , int last) {

    if (idx == n)return 0;



    ll& ret = mem[idx][last];

    if (~ret)return ret;

    ret = 0;

    if (last != 0)ret = max(ret, solve(idx + 1, 0) + v[idx][0]);

    if (last != 1)ret = max(ret, solve(idx + 1, 1) + v[idx][1]);

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

    return ret;

}



int main() {

    //file();



    memset(mem, -1, sizeof mem);

    cin >> n;

    v = vector < vector < int > >(n, vector < int >(3));

    for (auto& e : v)

        for (auto& f : e)

            cin >> f;



    cout << solve(0,3) << endl;



}

// Faster C++ solution for the same problem (measured speedup: 4.142668272519316x):
#include<bits/stdc++.h>

using namespace std;

const int inf=0x3f3f3f3f;

void A() {

    int n;

    cin>>n;

    vector<int> a(n,0);

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

        cin>>a[i];

    vector<int> dp(n+1,inf);

    dp[0]=0;

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

        dp[i]=min(dp[i],dp[i-1]+abs(a[i]-a[i-1]));

        if(i>=2)

            dp[i]=min(dp[i],dp[i-2]+abs(a[i]-a[i-2]));

    }

    cout<<dp[n-1]<<endl;



}

void B() {

    int n,k;

    cin>>n>>k;

    vector<int> dp(n+1,inf);

    vector<int> h(n,0);

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

        cin>>h[i];

    dp[0]=0;

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

        for(int len=1; len<=min(k+1,i+1); len++) {

            int j=i-len+1;

            dp[i]=min(dp[i],dp[j]+abs(h[j]-h[i]));

        }

    }

    cout<<dp[n-1]<<endl;

}

void C() {

    int n;

    cin>>n;

    vector<vector<int>> a(n,vector<int>(3,0));

    for(int i=0;i<n;i++) cin>>a[i][0]>>a[i][1]>>a[i][2];

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

    dp[0][0]=a[0][0];

    dp[0][1]=a[0][1];

    dp[0][2]=a[0][2];

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

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

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

                if(j==k)

                    continue;

                dp[i][j]=max(dp[i][j],dp[i-1][k]+a[i][j]);

                //cout<<dp[i][j]<<endl;

            }

        }

    }

    cout<<max(dp[n-1][0],max(dp[n-1][1],dp[n-1][2]))<<endl;

}

int main() {

    ios::sync_with_stdio(false);

    cin.tie(0);

    C();

}
// Slower C++ solution:
/******

author :- Mahmoud Tarek.

*******/



#include<bits/stdc++.h>



using namespace std ;



#define rg register

#define dbg(v) cerr << #v << " " << v ;

typedef long long ll ;



int n;

struct doW{

int w[5] ;

};



vector<doW> a ;

int mem[100002][6] ;



int solve(int i, int ch){

if(i == n) return 0 ;

int & ret = mem[i][ch] ;

if(~ret) return ret ;

ret = 0 ;

for(int j = 2 ; j <= 4 ; j++){

    if(ch != j){

        ret = max(ret, a[i].w[j] + solve(i + 1, j)) ;

    }

}

return ret ;

}



int main() {

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

    cin >> n ;

    a.resize(n) ;

    memset(mem, -1, sizeof mem) ;

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

        for(int j = 2 ; j <= 4 ; j++) cin >> a[i].w[j] ;

    }

    cout << solve(0, 1) ;



}



/*

  Empty set of troubles.

*/


// Faster C++ solution for the same problem (measured speedup: 3.328025881201096x):
#include<bits/stdc++.h>

using namespace std;

const int inf=0x3f3f3f3f;

void A() {

    int n;

    cin>>n;

    vector<int> a(n,0);

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

        cin>>a[i];

    vector<int> dp(n+1,inf);

    dp[0]=0;

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

        dp[i]=min(dp[i],dp[i-1]+abs(a[i]-a[i-1]));

        if(i>=2)

            dp[i]=min(dp[i],dp[i-2]+abs(a[i]-a[i-2]));

    }

    cout<<dp[n-1]<<endl;



}

void B() {

    int n,k;

    cin>>n>>k;

    vector<int> dp(n+1,inf);

    vector<int> h(n,0);

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

        cin>>h[i];

    dp[0]=0;

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

        for(int len=1; len<=min(k+1,i+1); len++) {

            int j=i-len+1;

            dp[i]=min(dp[i],dp[j]+abs(h[j]-h[i]));

        }

    }

    cout<<dp[n-1]<<endl;

}

void C() {

    int n;

    cin>>n;

    vector<vector<int>> a(n,vector<int>(3,0));

    for(int i=0;i<n;i++) cin>>a[i][0]>>a[i][1]>>a[i][2];

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

    dp[0][0]=a[0][0];

    dp[0][1]=a[0][1];

    dp[0][2]=a[0][2];

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

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

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

                if(j==k)

                    continue;

                dp[i][j]=max(dp[i][j],dp[i-1][k]+a[i][j]);

                //cout<<dp[i][j]<<endl;

            }

        }

    }

    cout<<max(dp[n-1][0],max(dp[n-1][1],dp[n-1][2]))<<endl;

}

int main() {

    ios::sync_with_stdio(false);

    cin.tie(0);

    C();

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

using namespace std;



const int N=1e5+30;

typedef long long ll;

int n;

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

ll dp[N][5];

ll solve(int i,int last){

    if(i==n)return 0;

    int path1=-1 ,path2=-1,path3=-1;

    ll &ret=dp[i][last];

    if(~ret)return ret;

    if(last!=1){

        path1=a[i]+solve(i+1,1);

    }

    if(last!=2){

        path2=b[i]+solve(i+1,2);

    }

    if(last!=3){

        path3=c[i]+solve(i+1,3);

    }

    return ret=max(path1,max(path2,path3));



}

int main()

{

    memset(dp,-1,sizeof dp);

    cin>>n;

    for(int i=0;i<n;i++)cin>>a[i]>>b[i]>>c[i];

    cout<<solve(0,4);



}




// Faster C++ solution for the same problem (measured speedup: 4.966066933019321x):
#include<bits/stdc++.h>

using namespace std;

const int inf=0x3f3f3f3f;

void A() {

    int n;

    cin>>n;

    vector<int> a(n,0);

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

        cin>>a[i];

    vector<int> dp(n+1,inf);

    dp[0]=0;

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

        dp[i]=min(dp[i],dp[i-1]+abs(a[i]-a[i-1]));

        if(i>=2)

            dp[i]=min(dp[i],dp[i-2]+abs(a[i]-a[i-2]));

    }

    cout<<dp[n-1]<<endl;



}

void B() {

    int n,k;

    cin>>n>>k;

    vector<int> dp(n+1,inf);

    vector<int> h(n,0);

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

        cin>>h[i];

    dp[0]=0;

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

        for(int len=1; len<=min(k+1,i+1); len++) {

            int j=i-len+1;

            dp[i]=min(dp[i],dp[j]+abs(h[j]-h[i]));

        }

    }

    cout<<dp[n-1]<<endl;

}

void C() {

    int n;

    cin>>n;

    vector<vector<int>> a(n,vector<int>(3,0));

    for(int i=0;i<n;i++) cin>>a[i][0]>>a[i][1]>>a[i][2];

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

    dp[0][0]=a[0][0];

    dp[0][1]=a[0][1];

    dp[0][2]=a[0][2];

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

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

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

                if(j==k)

                    continue;

                dp[i][j]=max(dp[i][j],dp[i-1][k]+a[i][j]);

                //cout<<dp[i][j]<<endl;

            }

        }

    }

    cout<<max(dp[n-1][0],max(dp[n-1][1],dp[n-1][2]))<<endl;

}

int main() {

    ios::sync_with_stdio(false);

    cin.tie(0);

    C();

}
// Slower C++ solution:
/* MaTb3aa */

#include<bits/stdc++.h>

#define ll long long

using namespace std;

int n;

const int N = 100005;

vector<int>v;

ll dp[100005][4];

int A[N], B[N], C[N];

ll solve(int i,int lst) {

	if (i == n)return 0;

	ll& ret = dp[i][lst];

	if (~ret)return ret;

	if (lst != 1)ret = max(ret, solve(i + 1, 1) + A[i]);

	if (lst != 2)ret = max(ret, solve(i + 1, 2) + B[i]);

	if (lst != 3)ret = max(ret, solve(i + 1, 3) + C[i]);

	return ret;

}

int main() {

	cin >> n;

	for (int i = 0; i < n; i++)cin >> A[i] >> B[i] >> C[i];

	memset(dp, -1, sizeof dp);

	cout << solve(0, 0);

	

		 

}

// Faster C++ solution for the same problem (measured speedup: 4.120183081800164x):
#include<bits/stdc++.h>

using namespace std;

const int inf=0x3f3f3f3f;

void A() {

    int n;

    cin>>n;

    vector<int> a(n,0);

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

        cin>>a[i];

    vector<int> dp(n+1,inf);

    dp[0]=0;

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

        dp[i]=min(dp[i],dp[i-1]+abs(a[i]-a[i-1]));

        if(i>=2)

            dp[i]=min(dp[i],dp[i-2]+abs(a[i]-a[i-2]));

    }

    cout<<dp[n-1]<<endl;



}

void B() {

    int n,k;

    cin>>n>>k;

    vector<int> dp(n+1,inf);

    vector<int> h(n,0);

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

        cin>>h[i];

    dp[0]=0;

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

        for(int len=1; len<=min(k+1,i+1); len++) {

            int j=i-len+1;

            dp[i]=min(dp[i],dp[j]+abs(h[j]-h[i]));

        }

    }

    cout<<dp[n-1]<<endl;

}

void C() {

    int n;

    cin>>n;

    vector<vector<int>> a(n,vector<int>(3,0));

    for(int i=0;i<n;i++) cin>>a[i][0]>>a[i][1]>>a[i][2];

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

    dp[0][0]=a[0][0];

    dp[0][1]=a[0][1];

    dp[0][2]=a[0][2];

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

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

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

                if(j==k)

                    continue;

                dp[i][j]=max(dp[i][j],dp[i-1][k]+a[i][j]);

                //cout<<dp[i][j]<<endl;

            }

        }

    }

    cout<<max(dp[n-1][0],max(dp[n-1][1],dp[n-1][2]))<<endl;

}

int main() {

    ios::sync_with_stdio(false);

    cin.tie(0);

    C();

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

using namespace std;

int n;

int arr[100005][3];



int dp[100005][4];



int solve(int i, int prev){

	if(i == n) return 0;

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



	dp[i][prev] = -1e7;

	int a = 0, b = 0, c = 0;

	if(prev != 0)

		a = solve(i+1, 0) + arr[i][0];

	if(prev != 1)

		b = solve(i+1, 1) + arr[i][1];

	if(prev != 2)

		c = solve(i+1, 2) + arr[i][2];



	dp[i][prev] = max(a, max(b, c));

	return dp[i][prev];

}



int main(){

	cin>>n;

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

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



	memset(dp, -1, sizeof dp);

	cout<<solve(0, 3)<<endl;

	return 0;

}

// Faster C++ solution for the same problem (measured speedup: 2.546816929688311x):
#include<bits/stdc++.h>

using namespace std;

const int inf=0x3f3f3f3f;

void A() {

    int n;

    cin>>n;

    vector<int> a(n,0);

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

        cin>>a[i];

    vector<int> dp(n+1,inf);

    dp[0]=0;

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

        dp[i]=min(dp[i],dp[i-1]+abs(a[i]-a[i-1]));

        if(i>=2)

            dp[i]=min(dp[i],dp[i-2]+abs(a[i]-a[i-2]));

    }

    cout<<dp[n-1]<<endl;



}

void B() {

    int n,k;

    cin>>n>>k;

    vector<int> dp(n+1,inf);

    vector<int> h(n,0);

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

        cin>>h[i];

    dp[0]=0;

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

        for(int len=1; len<=min(k+1,i+1); len++) {

            int j=i-len+1;

            dp[i]=min(dp[i],dp[j]+abs(h[j]-h[i]));

        }

    }

    cout<<dp[n-1]<<endl;

}

void C() {

    int n;

    cin>>n;

    vector<vector<int>> a(n,vector<int>(3,0));

    for(int i=0;i<n;i++) cin>>a[i][0]>>a[i][1]>>a[i][2];

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

    dp[0][0]=a[0][0];

    dp[0][1]=a[0][1];

    dp[0][2]=a[0][2];

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

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

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

                if(j==k)

                    continue;

                dp[i][j]=max(dp[i][j],dp[i-1][k]+a[i][j]);

                //cout<<dp[i][j]<<endl;

            }

        }

    }

    cout<<max(dp[n-1][0],max(dp[n-1][1],dp[n-1][2]))<<endl;

}

int main() {

    ios::sync_with_stdio(false);

    cin.tie(0);

    C();

}
// Slower C++ solution:
#define _CRT_SECURE_NO_WARNINGS

#include<iostream>

#include<functional>

#include <bitset>

#include<algorithm>

#include<fstream>

#include<string>

#include <cstring>

#include<stdio.h>

#include<iomanip>

#include<sstream>

#include<cmath>

#include<vector>

#include<assert.h>

#include<queue>

#include<deque>

#include<stack>

#include<set>

#include<map>

// never lose hope ..

typedef unsigned long long ull;

typedef long long ll;

typedef long double ld;

#define eps 1e-8

using namespace std;

double const  PI = 3.141592653;

const int OO = 1000000000 + 9;



void fast() {

	ios_base::sync_with_stdio(0);

	cin.tie(NULL), cout.tie(NULL);

}

struct s {

	int x, y, z;

};



int n;

int v[(int)1e5][4];

int dp[(int)1e5][4];



int solve(int i = 0, int pre = 4) {

	if (i >= n)return 0;

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

	int ch1, ch2, ch3;

	ch1 = ch2 = ch3 = 0;

	if (pre != 1) {

		ch1 += solve(i + 1, 1) + v[i][1];

	}

	if (pre != 2) {

		ch2 += solve(i + 1, 2) + v[i][2];

	}

	if (pre != 3) {

		ch3 += solve(i + 1, 3) + v[i][3];

	}

	return dp[i][pre] = max({ ch1,ch2,ch3 });

}





int main()

{

	fast();



	cin >> n;

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

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

	}

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

	cout << solve();



	return 0;

}

// Faster C++ solution for the same problem (measured speedup: 2.5582988772672217x):
#include<bits/stdc++.h>

using namespace std;

const int inf=0x3f3f3f3f;

void A() {

    int n;

    cin>>n;

    vector<int> a(n,0);

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

        cin>>a[i];

    vector<int> dp(n+1,inf);

    dp[0]=0;

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

        dp[i]=min(dp[i],dp[i-1]+abs(a[i]-a[i-1]));

        if(i>=2)

            dp[i]=min(dp[i],dp[i-2]+abs(a[i]-a[i-2]));

    }

    cout<<dp[n-1]<<endl;



}

void B() {

    int n,k;

    cin>>n>>k;

    vector<int> dp(n+1,inf);

    vector<int> h(n,0);

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

        cin>>h[i];

    dp[0]=0;

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

        for(int len=1; len<=min(k+1,i+1); len++) {

            int j=i-len+1;

            dp[i]=min(dp[i],dp[j]+abs(h[j]-h[i]));

        }

    }

    cout<<dp[n-1]<<endl;

}

void C() {

    int n;

    cin>>n;

    vector<vector<int>> a(n,vector<int>(3,0));

    for(int i=0;i<n;i++) cin>>a[i][0]>>a[i][1]>>a[i][2];

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

    dp[0][0]=a[0][0];

    dp[0][1]=a[0][1];

    dp[0][2]=a[0][2];

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

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

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

                if(j==k)

                    continue;

                dp[i][j]=max(dp[i][j],dp[i-1][k]+a[i][j]);

                //cout<<dp[i][j]<<endl;

            }

        }

    }

    cout<<max(dp[n-1][0],max(dp[n-1][1],dp[n-1][2]))<<endl;

}

int main() {

    ios::sync_with_stdio(false);

    cin.tie(0);

    C();

}