stablegradients/pie-gem5-pairs huggingface dataset:
// 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: 5.000045522060793x):
#include <iostream>



#define gbtb ios::sync_with_stdio(false),cin.tie(0),cout.tie(0)

#define repd(i,x,n) for(int i=x;i<=n;i++)



using namespace std;

typedef long long ll;

inline void getInt(int* p);

const int maxn=1000010;

const int inf=0x3f3f3f3f;

ll n;

ll a[maxn];

ll b[maxn];

ll c[maxn];

ll dp[maxn][5];



int main()

{

    gbtb;

    cin>>n;

    repd(i,1,n)

    {

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

    }

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

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

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

    repd(i,2,n)

    {

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

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

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

    }

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

    return 0;

}



inline void getInt(int* p) {

    char ch;

    do {

        ch = getchar();

    } while (ch == ' ' || ch == '\n');

    if (ch == '-') {

        *p = -(getchar() - '0');

        while ((ch = getchar()) >= '0' && ch <= '9') {

            *p = *p * 10 - ch + '0';

        }

    }

    else {

        *p = ch - '0';

        while ((ch = getchar()) >= '0' && ch <= '9') {

            *p = *p * 10 + ch - '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: 3.3542666051150447x):
#include <iostream>



#define gbtb ios::sync_with_stdio(false),cin.tie(0),cout.tie(0)

#define repd(i,x,n) for(int i=x;i<=n;i++)



using namespace std;

typedef long long ll;

inline void getInt(int* p);

const int maxn=1000010;

const int inf=0x3f3f3f3f;

ll n;

ll a[maxn];

ll b[maxn];

ll c[maxn];

ll dp[maxn][5];



int main()

{

    gbtb;

    cin>>n;

    repd(i,1,n)

    {

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

    }

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

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

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

    repd(i,2,n)

    {

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

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

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

    }

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

    return 0;

}



inline void getInt(int* p) {

    char ch;

    do {

        ch = getchar();

    } while (ch == ' ' || ch == '\n');

    if (ch == '-') {

        *p = -(getchar() - '0');

        while ((ch = getchar()) >= '0' && ch <= '9') {

            *p = *p * 10 - ch + '0';

        }

    }

    else {

        *p = ch - '0';

        while ((ch = getchar()) >= '0' && ch <= '9') {

            *p = *p * 10 + ch - '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: 1.768506141641925x):
#include <iostream>



#define gbtb ios::sync_with_stdio(false),cin.tie(0),cout.tie(0)

#define repd(i,x,n) for(int i=x;i<=n;i++)



using namespace std;

typedef long long ll;

inline void getInt(int* p);

const int maxn=1000010;

const int inf=0x3f3f3f3f;

ll n;

ll a[maxn];

ll b[maxn];

ll c[maxn];

ll dp[maxn][5];



int main()

{

    gbtb;

    cin>>n;

    repd(i,1,n)

    {

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

    }

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

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

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

    repd(i,2,n)

    {

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

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

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

    }

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

    return 0;

}



inline void getInt(int* p) {

    char ch;

    do {

        ch = getchar();

    } while (ch == ' ' || ch == '\n');

    if (ch == '-') {

        *p = -(getchar() - '0');

        while ((ch = getchar()) >= '0' && ch <= '9') {

            *p = *p * 10 - ch + '0';

        }

    }

    else {

        *p = ch - '0';

        while ((ch = getchar()) >= '0' && ch <= '9') {

            *p = *p * 10 + ch - '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: 2.290178189656411x):
#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;

    	

    }
// 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: 1.536359656613928x):
#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;

    	

    }
// 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: 5.052840265060772x):
#include<bits/stdc++.h>

using namespace std;



int dp[3];



int main(){

    int n,a,b,c,x,y,z;

    cin>>n;



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

        cin>>a>>b>>c;

        if(i==0){

            dp[0]=a;

            dp[1]=b;

            dp[2]=c;

            continue;

        }



        x=dp[0];

        y=dp[1];

        z=dp[2];



        dp[0]=a+max(y,z);

        dp[1]=b+max(x,z);

        dp[2]=c+max(x,y);







    }



    cout<<max(dp[0],max(dp[1],dp[2]))<<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: 3.389683811336294x):
#include<bits/stdc++.h>

using namespace std;



int dp[3];



int main(){

    int n,a,b,c,x,y,z;

    cin>>n;



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

        cin>>a>>b>>c;

        if(i==0){

            dp[0]=a;

            dp[1]=b;

            dp[2]=c;

            continue;

        }



        x=dp[0];

        y=dp[1];

        z=dp[2];



        dp[0]=a+max(y,z);

        dp[1]=b+max(x,z);

        dp[2]=c+max(x,y);







    }



    cout<<max(dp[0],max(dp[1],dp[2]))<<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: 1.7871795370800105x):
#include<bits/stdc++.h>

using namespace std;



int dp[3];



int main(){

    int n,a,b,c,x,y,z;

    cin>>n;



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

        cin>>a>>b>>c;

        if(i==0){

            dp[0]=a;

            dp[1]=b;

            dp[2]=c;

            continue;

        }



        x=dp[0];

        y=dp[1];

        z=dp[2];



        dp[0]=a+max(y,z);

        dp[1]=b+max(x,z);

        dp[2]=c+max(x,y);







    }



    cout<<max(dp[0],max(dp[1],dp[2]))<<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: 2.206308787622694x):
#include<bits/stdc++.h>

using namespace std;



int dp[3];



int main(){

    int n,a,b,c,x,y,z;

    cin>>n;



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

        cin>>a>>b>>c;

        if(i==0){

            dp[0]=a;

            dp[1]=b;

            dp[2]=c;

            continue;

        }



        x=dp[0];

        y=dp[1];

        z=dp[2];



        dp[0]=a+max(y,z);

        dp[1]=b+max(x,z);

        dp[2]=c+max(x,y);







    }



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





    return 0;







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

using namespace std;

const int MAX_n=1e5+10;

int n;

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

int dp[MAX_n][3];

int main()

{

    cin>>n;

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

    dp[1][0]=max(b[1],c[1]);

    dp[1][1]=max(a[1],c[1]);

    dp[1][2]=max(a[1],b[1]);

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

    {

        dp[i][0]=max(dp[i-1][1]+b[i],dp[i-1][2]+c[i]);

        dp[i][1]=max(dp[i-1][0]+a[i],dp[i-1][2]+c[i]);

        dp[i][2]=max(dp[i-1][0]+a[i],dp[i-1][1]+b[i]);

    }

    int ans=max(dp[n][0],dp[n][1]);

    ans=max(ans,dp[n][2]);

    cout<<ans;

    return 0;

}

// Faster C++ solution for the same problem (measured speedup: 5.2017261378932655x):
#include<stdio.h>

#include<algorithm>

using namespace std;

const int maxn = 100005;

int n;

int A[3];

int dp[3][maxn] = {0};

int a,b,c;



int main(){

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

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

	int t = 1;

	while(n--){

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

		dp[0][t] = max(dp[1][t-1]+a, dp[2][t-1]+a);

		dp[1][t] = max(dp[0][t-1]+b, dp[2][t-1]+b);

		dp[2][t] = max(dp[0][t-1]+c, dp[1][t-1]+c);

		t++;

	}

	int ans = max(dp[0][t-1],max(dp[1][t-1],dp[2][t-1]));

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

	return 0;

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

#include <vector>

#include <algorithm>

#include <numeric>

#include <cmath>

#include <set>

#include <tuple>

#include <functional>

#include <map>

#include <unordered_map>

#include <queue>

#include <tuple>



using namespace std;



#define endl '\n'



using ull = unsigned long int;

using ll = long long;



int main() {

  ios_base::sync_with_stdio(false);

  cin.tie(nullptr);

  const int precision = 13;

  cout.precision(precision);

  cout.setf(ios_base::fixed);



  int n; cin >> n;

  vector<vector<int>> dp(2, vector<int>(3, 0));



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

    int a, b, c; cin >> a >> b >> c;

    int cur = i%2;

    int prev = (i-1)%2;

    dp[cur][0] = a + max(dp[prev][1], dp[prev][2]);

    dp[cur][1] = b + max(dp[prev][0], dp[prev][2]);

    dp[cur][2] = c + max(dp[prev][0], dp[prev][1]);

  }



  cout << *max_element(dp[n%2].begin(), dp[n%2].end()) << endl;





  return 0;

}


// Faster C++ solution for the same problem (measured speedup: 5.279439381098192x):
#include<stdio.h>

#include<algorithm>

using namespace std;

const int maxn = 100005;

int n;

int A[3];

int dp[3][maxn] = {0};

int a,b,c;



int main(){

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

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

	int t = 1;

	while(n--){

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

		dp[0][t] = max(dp[1][t-1]+a, dp[2][t-1]+a);

		dp[1][t] = max(dp[0][t-1]+b, dp[2][t-1]+b);

		dp[2][t] = max(dp[0][t-1]+c, dp[1][t-1]+c);

		t++;

	}

	int ans = max(dp[0][t-1],max(dp[1][t-1],dp[2][t-1]));

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

	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: 26.319215973928003x):
#include<stdio.h>

#include<algorithm>

using namespace std;

const int maxn = 100005;

int n;

int A[3];

int dp[3][maxn] = {0};

int a,b,c;



int main(){

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

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

	int t = 1;

	while(n--){

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

		dp[0][t] = max(dp[1][t-1]+a, dp[2][t-1]+a);

		dp[1][t] = max(dp[0][t-1]+b, dp[2][t-1]+b);

		dp[2][t] = max(dp[0][t-1]+c, dp[1][t-1]+c);

		t++;

	}

	int ans = max(dp[0][t-1],max(dp[1][t-1],dp[2][t-1]));

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

	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: 17.65617269375808x):
#include<stdio.h>

#include<algorithm>

using namespace std;

const int maxn = 100005;

int n;

int A[3];

int dp[3][maxn] = {0};

int a,b,c;



int main(){

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

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

	int t = 1;

	while(n--){

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

		dp[0][t] = max(dp[1][t-1]+a, dp[2][t-1]+a);

		dp[1][t] = max(dp[0][t-1]+b, dp[2][t-1]+b);

		dp[2][t] = max(dp[0][t-1]+c, dp[1][t-1]+c);

		t++;

	}

	int ans = max(dp[0][t-1],max(dp[1][t-1],dp[2][t-1]));

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

	return 0;

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

using namespace std;



int main(){

    int n, i, j, k;

    scanf("%d",&n);

    int a[n+5], b[n+5], c[n+5];

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

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

    }

    int dp[n+5][3];

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

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

        dp[i][0] = max(dp[i-1][1], dp[i-1][2]) + a[i];

        dp[i][1] = max(dp[i-1][0], dp[i-1][2]) + b[i];

        dp[i][2] = max(dp[i-1][0], dp[i-1][1]) + c[i];

    }

    int ans  = 0;

    ans = max(dp[n][0], dp[n][1]);

    ans = max(ans, dp[n][2]);

    printf("%d", ans);



    return 0;

}


// Faster C++ solution for the same problem (measured speedup: 5.179242701658372x):
#include<stdio.h>

#include<algorithm>

using namespace std;

const int maxn = 100005;

int n;

int A[3];

int dp[3][maxn] = {0};

int a,b,c;



int main(){

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

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

	int t = 1;

	while(n--){

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

		dp[0][t] = max(dp[1][t-1]+a, dp[2][t-1]+a);

		dp[1][t] = max(dp[0][t-1]+b, dp[2][t-1]+b);

		dp[2][t] = max(dp[0][t-1]+c, dp[1][t-1]+c);

		t++;

	}

	int ans = max(dp[0][t-1],max(dp[1][t-1],dp[2][t-1]));

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

	return 0;

}