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

using namespace std;

#define tpl  tuple<int, int, int>

#define mt   make_tuple

#define LIM  100000





int n, dp[LIM+5][4], vis[LIM+5][4];

vector<tpl> v;



int f(int pos, int k){

    if(pos >= n) return 0;

    if(vis[pos][k]) return dp[pos][k];

    vis[pos][k] = 1;

    int ans;

    if(k == 0) ans = get<0>(v[pos]) + max(f(pos+1, 1), f(pos+1, 2));

    else if(k == 1) ans = get<1>(v[pos]) + max(f(pos+1, 0), f(pos+1, 2));

    else ans = get<2>(v[pos]) + max(f(pos+1, 0), f(pos+1, 1));



    return dp[pos][k] = ans;

}



int main(){

    scanf("%d", &n);

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

        int a, b, c; scanf("%d %d %d", &a, &b, &c);

        v.push_back(mt(a, b, c));

    }

    int ans = f(0, 0);

    memset(dp, 0, sizeof dp);

    memset(vis, 0, sizeof vis);

    ans = max(ans, f(0, 1));

    memset(dp, 0, sizeof dp);

    memset(vis, 0, sizeof vis);

    ans = max(ans, f(0, 2));



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

}


// Faster C++ solution for the same problem (measured speedup: 2.1797009158891503x):
#include <bits/stdc++.h>



#define pb push_back

#define mp make_pair



using namespace std;



typedef vector<int> vi;

typedef pair<int, int> ii;

typedef vector<ii> vii;

typedef unsigned long long ull;

typedef long long ll;





int DP[100005][3];

int V[100005][3];

bool ok[100005][3];

int N;



int dp(int i, int m) {

    if (ok[i][m]) {

        return DP[i][m];

    }

    

    if (i == N+1) {

        return 0;

    } else {

        int res = 0;

        if (m == 0) {

            res = max(dp(i+1, 1) + V[i][1], dp(i+1, 2) + V[i][2]);

        } else if (m == 1) {

            res = max(dp(i+1, 0) + V[i][0], dp(i+1, 2) + V[i][2]);

        } else {

            res = max(dp(i+1, 0) + V[i][0], dp(i+1, 1) + V[i][1]);

        }

        

        ok[i][m] = true;

        DP[i][m] = res;

        return DP[i][m];

    }

}



int main() {

    std::ios::sync_with_stdio(false);

    cin.tie(nullptr);

    cout.tie(nullptr);

    

    cin >> N;

    

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

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

    }

    

    int res = 0;

    res = dp(1, 1);

    memset(DP, 0, sizeof(DP));

    memset(ok, 0, sizeof(ok));

    res = max(res, dp(1, 2));

    memset(DP, 0, sizeof(DP));

    memset(ok, 0, sizeof(ok));

    res = max(res, dp(1, 3));

    

    cout << res << endl;

    

	return 0;

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

#define ll long long

#define endl "\n"

#define shalaby ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);cerr.tie(0);

#define mod 100000000

using namespace std;



inline int D()

{

    int t;

    scanf("%d",&t);

    return t;

}

inline ll llD()

{

    ll t;

    scanf("%lld",&t);

    return t;

}

const int Max=1e5+8;

const int OO=-1e6;

int xt[4]= {1,0,0,-1};

int yt[4]= {0,1,-1,0};

////////////////////////////////////////////////////////////////////////////////////



ll mem[100005][5],a[100005],b[100005],c[100005],n,m;

bool valid(int x,int y)

{

    return x>-1 && y>-1 && x<n && y<m;

}

void init()

{

    memset(mem,-1,sizeof mem);

}

/////////////////////////////////////////////////////////////////////

ll solve(int i=0, int k=3)

{

    if(i==n)

        return 0;

    ll &ret=mem[i][k];

    if(~ret)return ret;

    ret =0;

    if(k!=0)

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



    if(k!=1)

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

    if(k!=2)

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

    return ret;

}



int main()

{

    init();

    int T=1;

///   T=D();

    while(T-->0)

    {

        cin >> n ;

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

        {

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

        }

        cout << solve();

    }

}


// Faster C++ solution for the same problem (measured speedup: 1.695321861692593x):
#include <bits/stdc++.h>



#define pb push_back

#define mp make_pair



using namespace std;



typedef vector<int> vi;

typedef pair<int, int> ii;

typedef vector<ii> vii;

typedef unsigned long long ull;

typedef long long ll;





int DP[100005][3];

int V[100005][3];

bool ok[100005][3];

int N;



int dp(int i, int m) {

    if (ok[i][m]) {

        return DP[i][m];

    }

    

    if (i == N+1) {

        return 0;

    } else {

        int res = 0;

        if (m == 0) {

            res = max(dp(i+1, 1) + V[i][1], dp(i+1, 2) + V[i][2]);

        } else if (m == 1) {

            res = max(dp(i+1, 0) + V[i][0], dp(i+1, 2) + V[i][2]);

        } else {

            res = max(dp(i+1, 0) + V[i][0], dp(i+1, 1) + V[i][1]);

        }

        

        ok[i][m] = true;

        DP[i][m] = res;

        return DP[i][m];

    }

}



int main() {

    std::ios::sync_with_stdio(false);

    cin.tie(nullptr);

    cout.tie(nullptr);

    

    cin >> N;

    

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

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

    }

    

    int res = 0;

    res = dp(1, 1);

    memset(DP, 0, sizeof(DP));

    memset(ok, 0, sizeof(ok));

    res = max(res, dp(1, 2));

    memset(DP, 0, sizeof(DP));

    memset(ok, 0, sizeof(ok));

    res = max(res, dp(1, 3));

    

    cout << res << endl;

    

	return 0;

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

using namespace std;



long long w1,w2,hap=0,maxi,aa,bb,cc,N,i,j,k,a[100005][5];

long long M[100005][5];





int main()

{

    ios_base::sync_with_stdio(false);

    cin.tie(NULL);

    cin>>N;

    for(i=0; i<100003; i++)

        for(j=0; j<4; j++)

            M[i][j]=0;



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

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

    M[N-1][0]=a[N-1][0];

    M[N-1][1]=a[N-1][1];

    M[N-1][2]=a[N-1][2];



    for(i=N-2; i>=0; i--)

    {

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

        {

            if(j==0)

            {

                w1=1;

                w2=2;

            }

            else if(j==1)

            {

                w1=0;

                w2=2;

            }

            else

            {

                w1=0;

                w2=1;

            }

        M[i][j]=a[i][j]+max(M[i+1][w1],M[i+1][w2]);

        }

    }

    aa=max(M[0][0],M[0][1]);

    aa=max(aa,M[0][2]);

    cout<<aa<<endl;

    return 0;

}






// Faster C++ solution for the same problem (measured speedup: 5.053520931423842x):
#include<bits/stdc++.h>

using namespace std;

long long int f[100005][3];

long long int a[100006],a1[100005],a2[100005];

int main()

{



    long long int mod,t,k=0,i,m,n,x,j=0,l,c=0,r=0,w,s,d=0,sum=0,mul,mx1,mx,s1=10000000,s2=0;



    cin>>n;





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

    {



        cin>>a[i]>>a1[i]>>a2[i];

    }

f[n+1][0]=f[n+1][1]=f[n+1][2]=0;





    for(i=n; i>=1; i--)

    {





    f[i][0]=max((a1[i]+f[i+1][1]),(a2[i]+f[i+1][2]));

    f[i][1]=max((a[i]+f[i+1][0]),(a2[i]+f[i+1][2]));

    f[i][2]=max((a1[i]+f[i+1][1]),(a[i]+f[i+1][0]));



    }



    d=max(max(f[1][0],f[1][1]),f[1][2]);



    cout<<d<<endl;

    return 0;



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

using namespace std;

#define INF 100005

#define maxx 1000000000000



int n;

long long a[INF][3];

long long mem[INF][3];



long long rec(int level,int pre)

{

    if(level==n) return 0;

    if(mem[level][pre]!=-1) return mem[level][pre];

    long long now=0;

    if(pre==0)

    {

        now=max(now,max(a[level][0]+rec(level+1,1),a[level][0]+rec(level+1,2)));

    }else

    if(pre==1)

    {

        now=max(now,max(a[level][1]+rec(level+1,0),a[level][1]+rec(level+1,2)));

    }else

    if(pre==2)

    {

        now=max(now,max(a[level][2]+rec(level+1,0),a[level][2]+rec(level+1,1)));

    }

    return mem[level][pre]=now;

}



int main()

{

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

    scanf("%d",&n);

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

    {

        scanf("%lld%lld%lld",&a[i][0],&a[i][1],&a[i][2]);

    }

    long long ans=max(rec(0,0),max(rec(0,1),rec(0,2)));

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

}


// Faster C++ solution for the same problem (measured speedup: 3.390140434469183x):
#include<bits/stdc++.h>

using namespace std;

long long int f[100005][3];

long long int a[100006],a1[100005],a2[100005];

int main()

{



    long long int mod,t,k=0,i,m,n,x,j=0,l,c=0,r=0,w,s,d=0,sum=0,mul,mx1,mx,s1=10000000,s2=0;



    cin>>n;





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

    {



        cin>>a[i]>>a1[i]>>a2[i];

    }

f[n+1][0]=f[n+1][1]=f[n+1][2]=0;





    for(i=n; i>=1; i--)

    {





    f[i][0]=max((a1[i]+f[i+1][1]),(a2[i]+f[i+1][2]));

    f[i][1]=max((a[i]+f[i+1][0]),(a2[i]+f[i+1][2]));

    f[i][2]=max((a1[i]+f[i+1][1]),(a[i]+f[i+1][0]));



    }



    d=max(max(f[1][0],f[1][1]),f[1][2]);



    cout<<d<<endl;

    return 0;



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

#include<algorithm>

#include<cstring>

using namespace std;

const int maxn = 1e5 + 5;



int a[maxn][4];

int dp[maxn][4];//d[i][j] i day choose j thing 's max happy



int main(){

	int n;scanf("%d",&n);

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

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

			scanf("%d",&a[i][j]);

		}

	}



	memset(dp, 0, sizeof dp);



	for(int i = 1 ; i <= 3 ; i++) dp[1][i] = a[1][i];



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

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

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

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

	}



	int ans = 0;

	for(int i = 1 ; i <= 3 ; i++)ans = max(dp[n][i],ans);

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

}

// Faster C++ solution for the same problem (measured speedup: 1.78742028741682x):
#include<bits/stdc++.h>

using namespace std;

long long int f[100005][3];

long long int a[100006],a1[100005],a2[100005];

int main()

{



    long long int mod,t,k=0,i,m,n,x,j=0,l,c=0,r=0,w,s,d=0,sum=0,mul,mx1,mx,s1=10000000,s2=0;



    cin>>n;





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

    {



        cin>>a[i]>>a1[i]>>a2[i];

    }

f[n+1][0]=f[n+1][1]=f[n+1][2]=0;





    for(i=n; i>=1; i--)

    {





    f[i][0]=max((a1[i]+f[i+1][1]),(a2[i]+f[i+1][2]));

    f[i][1]=max((a[i]+f[i+1][0]),(a2[i]+f[i+1][2]));

    f[i][2]=max((a1[i]+f[i+1][1]),(a[i]+f[i+1][0]));



    }



    d=max(max(f[1][0],f[1][1]),f[1][2]);



    cout<<d<<endl;

    return 0;



}
// 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: 2.2066059987157627x):
#include<bits/stdc++.h>

using namespace std;

long long int f[100005][3];

long long int a[100006],a1[100005],a2[100005];

int main()

{



    long long int mod,t,k=0,i,m,n,x,j=0,l,c=0,r=0,w,s,d=0,sum=0,mul,mx1,mx,s1=10000000,s2=0;



    cin>>n;





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

    {



        cin>>a[i]>>a1[i]>>a2[i];

    }

f[n+1][0]=f[n+1][1]=f[n+1][2]=0;





    for(i=n; i>=1; i--)

    {





    f[i][0]=max((a1[i]+f[i+1][1]),(a2[i]+f[i+1][2]));

    f[i][1]=max((a[i]+f[i+1][0]),(a2[i]+f[i+1][2]));

    f[i][2]=max((a1[i]+f[i+1][1]),(a[i]+f[i+1][0]));



    }



    d=max(max(f[1][0],f[1][1]),f[1][2]);



    cout<<d<<endl;

    return 0;



}
// 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: 2.589858090607197x):
#include<bits/stdc++.h>

using namespace std;

long long int f[100005][3];

long long int a[100006],a1[100005],a2[100005];

int main()

{



    long long int mod,t,k=0,i,m,n,x,j=0,l,c=0,r=0,w,s,d=0,sum=0,mul,mx1,mx,s1=10000000,s2=0;



    cin>>n;





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

    {



        cin>>a[i]>>a1[i]>>a2[i];

    }

f[n+1][0]=f[n+1][1]=f[n+1][2]=0;





    for(i=n; i>=1; i--)

    {





    f[i][0]=max((a1[i]+f[i+1][1]),(a2[i]+f[i+1][2]));

    f[i][1]=max((a[i]+f[i+1][0]),(a2[i]+f[i+1][2]));

    f[i][2]=max((a1[i]+f[i+1][1]),(a[i]+f[i+1][0]));



    }



    d=max(max(f[1][0],f[1][1]),f[1][2]);



    cout<<d<<endl;

    return 0;



}
// 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: 4.226096220505601x):
#include<bits/stdc++.h>

using namespace std;

long long int f[100005][3];

long long int a[100006],a1[100005],a2[100005];

int main()

{



    long long int mod,t,k=0,i,m,n,x,j=0,l,c=0,r=0,w,s,d=0,sum=0,mul,mx1,mx,s1=10000000,s2=0;



    cin>>n;





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

    {



        cin>>a[i]>>a1[i]>>a2[i];

    }

f[n+1][0]=f[n+1][1]=f[n+1][2]=0;





    for(i=n; i>=1; i--)

    {





    f[i][0]=max((a1[i]+f[i+1][1]),(a2[i]+f[i+1][2]));

    f[i][1]=max((a[i]+f[i+1][0]),(a2[i]+f[i+1][2]));

    f[i][2]=max((a1[i]+f[i+1][1]),(a[i]+f[i+1][0]));



    }



    d=max(max(f[1][0],f[1][1]),f[1][2]);



    cout<<d<<endl;

    return 0;



}
// 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: 4.235198121365782x):
#include<bits/stdc++.h>

using namespace std;

long long int f[100005][3];

long long int a[100006],a1[100005],a2[100005];

int main()

{



    long long int mod,t,k=0,i,m,n,x,j=0,l,c=0,r=0,w,s,d=0,sum=0,mul,mx1,mx,s1=10000000,s2=0;



    cin>>n;





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

    {



        cin>>a[i]>>a1[i]>>a2[i];

    }

f[n+1][0]=f[n+1][1]=f[n+1][2]=0;





    for(i=n; i>=1; i--)

    {





    f[i][0]=max((a1[i]+f[i+1][1]),(a2[i]+f[i+1][2]));

    f[i][1]=max((a[i]+f[i+1][0]),(a2[i]+f[i+1][2]));

    f[i][2]=max((a1[i]+f[i+1][1]),(a[i]+f[i+1][0]));



    }



    d=max(max(f[1][0],f[1][1]),f[1][2]);



    cout<<d<<endl;

    return 0;



}
// 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: 3.4023600328847863x):
#include<bits/stdc++.h>

using namespace std;

long long int f[100005][3];

long long int a[100006],a1[100005],a2[100005];

int main()

{



    long long int mod,t,k=0,i,m,n,x,j=0,l,c=0,r=0,w,s,d=0,sum=0,mul,mx1,mx,s1=10000000,s2=0;



    cin>>n;





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

    {



        cin>>a[i]>>a1[i]>>a2[i];

    }

f[n+1][0]=f[n+1][1]=f[n+1][2]=0;





    for(i=n; i>=1; i--)

    {





    f[i][0]=max((a1[i]+f[i+1][1]),(a2[i]+f[i+1][2]));

    f[i][1]=max((a[i]+f[i+1][0]),(a2[i]+f[i+1][2]));

    f[i][2]=max((a1[i]+f[i+1][1]),(a[i]+f[i+1][0]));



    }



    d=max(max(f[1][0],f[1][1]),f[1][2]);



    cout<<d<<endl;

    return 0;



}
// 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: 5.076988057387858x):
#include<bits/stdc++.h>

using namespace std;

long long int f[100005][3];

long long int a[100006],a1[100005],a2[100005];

int main()

{



    long long int mod,t,k=0,i,m,n,x,j=0,l,c=0,r=0,w,s,d=0,sum=0,mul,mx1,mx,s1=10000000,s2=0;



    cin>>n;





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

    {



        cin>>a[i]>>a1[i]>>a2[i];

    }

f[n+1][0]=f[n+1][1]=f[n+1][2]=0;





    for(i=n; i>=1; i--)

    {





    f[i][0]=max((a1[i]+f[i+1][1]),(a2[i]+f[i+1][2]));

    f[i][1]=max((a[i]+f[i+1][0]),(a2[i]+f[i+1][2]));

    f[i][2]=max((a1[i]+f[i+1][1]),(a[i]+f[i+1][0]));



    }



    d=max(max(f[1][0],f[1][1]),f[1][2]);



    cout<<d<<endl;

    return 0;



}
// 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: 4.212210705712924x):
#include<bits/stdc++.h>

using namespace std;

long long int f[100005][3];

long long int a[100006],a1[100005],a2[100005];

int main()

{



    long long int mod,t,k=0,i,m,n,x,j=0,l,c=0,r=0,w,s,d=0,sum=0,mul,mx1,mx,s1=10000000,s2=0;



    cin>>n;





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

    {



        cin>>a[i]>>a1[i]>>a2[i];

    }

f[n+1][0]=f[n+1][1]=f[n+1][2]=0;





    for(i=n; i>=1; i--)

    {





    f[i][0]=max((a1[i]+f[i+1][1]),(a2[i]+f[i+1][2]));

    f[i][1]=max((a[i]+f[i+1][0]),(a2[i]+f[i+1][2]));

    f[i][2]=max((a1[i]+f[i+1][1]),(a[i]+f[i+1][0]));



    }



    d=max(max(f[1][0],f[1][1]),f[1][2]);



    cout<<d<<endl;

    return 0;



}
// 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: 2.6037021471475326x):
#include<bits/stdc++.h>

using namespace std;

long long int f[100005][3];

long long int a[100006],a1[100005],a2[100005];

int main()

{



    long long int mod,t,k=0,i,m,n,x,j=0,l,c=0,r=0,w,s,d=0,sum=0,mul,mx1,mx,s1=10000000,s2=0;



    cin>>n;





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

    {



        cin>>a[i]>>a1[i]>>a2[i];

    }

f[n+1][0]=f[n+1][1]=f[n+1][2]=0;





    for(i=n; i>=1; i--)

    {





    f[i][0]=max((a1[i]+f[i+1][1]),(a2[i]+f[i+1][2]));

    f[i][1]=max((a[i]+f[i+1][0]),(a2[i]+f[i+1][2]));

    f[i][2]=max((a1[i]+f[i+1][1]),(a[i]+f[i+1][0]));



    }



    d=max(max(f[1][0],f[1][1]),f[1][2]);



    cout<<d<<endl;

    return 0;



}