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

using namespace std;



typedef signed long long ll;

const int MX = 1e5 + 5;

const int INF = 1e9 + 5;

int n, A[MX][3], dp[MX][4];



int solve(int pos, int prev) {

    if(pos >= n) return 0;

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

    int ans = 0;

    if(prev == 1) 

        ans = max(ans, max(A[pos][1] + solve(pos + 1, 2), A[pos][2] + solve(pos + 1, 3)));

    else if(prev == 2) 

        ans = max(ans, max(A[pos][0] + solve(pos + 1, 1), A[pos][2] + solve(pos + 1, 3)));

    else if(prev == 3) 

        ans = max(ans, max(A[pos][1] + solve(pos + 1, 2), A[pos][0] + solve(pos + 1, 1)));

    else

        ans = max(A[pos][0] + solve(pos + 1, 1), max(A[pos][1] + solve(pos + 1, 2), A[pos][2] + solve(pos + 1, 3)));

    return dp[pos][prev] = ans;

}



int main() {

    scanf("%d", &n);



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

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

    }

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

    int ans = solve(0, 0);

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

    return 0;

}

// Faster C++ solution for the same problem (measured speedup: 2.5583317980331493x):
#include <bits/stdc++.h>

using namespace std;

 

#define ll long long int

#define tc(t) int t;cin >> t; while(t--)

#define pb push_back

#define fi first

#define se second

#define debug1(x) cerr << #x << " = " << x << '\n';

#define debug2(x, y) cerr << #x << " = " << x << "   " << #y << " = " << y << "\n";

#define _ ios_base::sync_with_stdio(0);cin.tie(NULL);

 

int main() {_

    ll n;

    cin >> n;

    ll dp[n][3] = {};

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

        ll a, b, c;

        cin >> a >> b >> c;

        if(i == 0) {

            dp[i][0] = a;

            dp[i][1] = b;

            dp[i][2] = c;

        }

        else {

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

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

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

        }

    }

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

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

using namespace std;

typedef long long int ll;

const int MAX=1e5+10;

int N,A[MAX],B[MAX],C[MAX],dp[MAX][3];

int solve(int idx,int pr)

{

    if(idx>N)return 0;

    if(dp[idx][pr]!=-1)return dp[idx][pr];

    int res=0;

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

        if(i==pr)continue;

        int val=0;

        if(i==1)val=A[idx];

        if(i==2)val=B[idx];

        if(i==3)val=C[idx];

        res = max(res,solve(idx+1,i)+val);

    }

    return dp[idx][pr]=res;

}

int  main ()

{

    memset(dp,-1,sizeof dp);

    cin >> N;

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

        cin >> A[i] >> B[i] >> C[i];

    }

    cout<<solve(1,0)<<endl;

    return 0;

}






// Faster C++ solution for the same problem (measured speedup: 2.2357676131053443x):
#include<bits/stdc++.h>

using namespace std;

const int Max= 1e5+10;

long long dp[Max][4];

long long a[Max][4];

int main()

{

	int n;

	scanf("%d",&n);

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

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

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

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

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

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

	{

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

		{

			if(j==1)

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

			else if(j==2)

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

			else

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

		}

	}

	printf("%lld\n",max(dp[n][1],max(dp[n][2],dp[n][3])));

	return 0;

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

using namespace std;

#define print printf("==================\n")

#define ll long long

#define pi acos(-1.0)

#define eps 1e-16

#define max3(a,b,c) max(a,max(b,c))

const ll INF = 1 << 30;

typedef pair<ll, ll  > payar;

typedef struct

{

    ll  x, y;

} point;

priority_queue<payar, vector<payar>,  greater<payar> > pq; ///accending

vector< pair<ll,payar  > > vpp;

vector < payar >  vp;



ll n ;

int ara[100005][4];

ll dp[100005][4];

ll cal(int day, int itm)

{

    if(day>n)

    {

        return 0;

    }



    if(dp[day][itm]!=-1)

        return dp[day][itm];

    ll maxi = -1;

    if(day==1)

    {

   return   maxi = dp[day][itm]=max3( cal(day+1,1)+ara[day][1], cal(day+1,2)+ara[day][2], cal(day+1,3)+ara[day][3] );



    }

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

    {

            if(i==itm)

                continue;

            maxi=max( cal(day+1,i)+ara[day][i],maxi);





    }

    return dp[day][itm]=maxi;

}



int main()

{



    cin>>n;

    memset(dp,-1,sizeof dp);

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

    {

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

        {

            cin>>ara[i][j];

        }

    }

    cout<<cal(1,1);







    return  0 ;

}


// Faster C++ solution for the same problem (measured speedup: 4.269674037024259x):
#include<bits/stdc++.h>

using namespace std;

const int Max= 1e5+10;

long long dp[Max][4];

long long a[Max][4];

int main()

{

	int n;

	scanf("%d",&n);

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

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

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

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

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

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

	{

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

		{

			if(j==1)

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

			else if(j==2)

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

			else

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

		}

	}

	printf("%lld\n",max(dp[n][1],max(dp[n][2],dp[n][3])));

	return 0;

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

#include <cstdint>

#include <cinttypes>

#include <cstring>

#include <algorithm>



using i32 = std::int_fast32_t;



const int MaxN = 100001;



int A[MaxN][3], dp[MaxN][3];



signed main(signed argc, char **argv) {

	i32 n;

	std::scanf("%" SCNdFAST32, &n);

	

	for (i32 i = 0; i < n; ++ i) {

		std::scanf("%" SCNdFAST32 "%" SCNdFAST32 "%" SCNdFAST32, A[i], A[i] + 1, A[i] + 2);

	}

	

	memset(dp, 0, sizeof dp);

	

	dp[0][0] = A[0][0];

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

	dp[0][2] = A[0][2];

	

	for (i32 i = 1; i < n; ++ i) {

		for (i32 j = 0; j < 3; ++ j) {

			for (i32 a = 0; a < 3; ++ a) {

				if (a == j) {

					continue;

				}

				dp[i][j] = std::max(dp[i][j], dp[i - 1][a] + A[i][j]);

			}

		}

	}

	

	std::printf("%" PRIdFAST32, std::max(dp[n - 1][0], std::max(dp[n - 1][1], dp[n - 1][2])));

	return 0;

}

// Faster C++ solution for the same problem (measured speedup: 1.4053421860347721x):
#include<bits/stdc++.h>

using namespace std;

const int Max= 1e5+10;

long long dp[Max][4];

long long a[Max][4];

int main()

{

	int n;

	scanf("%d",&n);

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

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

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

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

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

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

	{

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

		{

			if(j==1)

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

			else if(j==2)

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

			else

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

		}

	}

	printf("%lld\n",max(dp[n][1],max(dp[n][2],dp[n][3])));

	return 0;

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

using namespace std;

#define N (int)2e5

int n,a[N],b[N],c[N],memo[N][10];



// a = 0, b = 1, c = 2

int dp(int curr , int last) {

    if (curr > n) return 0;

    int &sol = memo[curr][last];

    if (sol != -1) return sol;

    if (last == 0) {

        sol = max(

            dp(curr + 1 , 1) + b[curr] ,

            dp(curr + 1 , 2) + c[curr]

        );

    } else if (last == 1) {

        sol = max(

            dp(curr + 1 , 0) + a[curr] ,

            dp(curr + 1 , 2) + c[curr]

        );

    } else {

        sol = max(

            dp(curr + 1 , 0) + a[curr] ,

            dp(curr + 1 , 1) + b[curr]

        );

    }

    return sol;

}



int main() {

    scanf("%d" , &n);

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

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

    memset (memo , -1 , sizeof memo);

    printf("%d\n" , max(dp(2 , 0) + a[1] , max(dp(2 , 1) + b[1] , dp(2 , 2) + c[1])));

}


// Faster C++ solution for the same problem (measured speedup: 9.472187943439572x):
#include<bits/stdc++.h>

using namespace std;

const int Max= 1e5+10;

long long dp[Max][4];

long long a[Max][4];

int main()

{

	int n;

	scanf("%d",&n);

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

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

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

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

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

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

	{

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

		{

			if(j==1)

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

			else if(j==2)

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

			else

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

		}

	}

	printf("%lld\n",max(dp[n][1],max(dp[n][2],dp[n][3])));

	return 0;

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

using namespace std;

typedef long long LL;



int a[100005],b[100005],c[100005];

int dp[100007][5];



int Solve(int idx, int n, int prev){

	

	if(idx == n)return 0;

	

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

	

	int ans = -1;

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

		if(i == prev)continue;

		if(i == 1)ans = max(ans, a[idx] + Solve(idx+1, n, i));

		else if(i == 2)ans = max(ans, b[idx] + Solve(idx+1, n, i));

		else ans = max(ans, c[idx] + Solve(idx+1, n, i));		

	}

	return dp[idx][prev] = ans;

}



int main(){

	int n; cin>>n;

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

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

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

	}

	int ret = -1;

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

		ret = max(ret, Solve(0,n,i));

	}

	cout<<ret<<endl;



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

	return 0;

}

// Faster C++ solution for the same problem (measured speedup: 3.041068252884813x):
#include<bits/stdc++.h>

using namespace std;

const int Max= 1e5+10;

long long dp[Max][4];

long long a[Max][4];

int main()

{

	int n;

	scanf("%d",&n);

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

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

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

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

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

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

	{

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

		{

			if(j==1)

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

			else if(j==2)

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

			else

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

		}

	}

	printf("%lld\n",max(dp[n][1],max(dp[n][2],dp[n][3])));

	return 0;

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

#include <stdlib.h>

#include <string.h>

#include <math.h>

#include <queue>

#include <stack>

#include <vector>

#include <algorithm>

#include <iostream>



using namespace std;



const int MAXN = 1e5 + 5;

int n,m;

int a,b,c;

int d,e,f;

vector <int> A;

vector <int> B;

vector <int> C;

vector <int> dp[MAXN];



int main()

{

	scanf("%d",&n);

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

	{

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

		A.push_back(a);//第一天的a现在是a[0]

		B.push_back(b);

		C.push_back(c);

	}

	dp[0].push_back(A[0]);

	dp[0].push_back(B[0]);

	dp[0].push_back(C[0]);

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

	{

		d = max(dp[i - 1][1],dp[i - 1][2]);

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

		f = max(dp[i - 1][0],dp[i - 1][1]);

		dp[i].push_back(d + A[i]);

		dp[i].push_back(e + B[i]);

		dp[i].push_back(f + C[i]);

		//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];

	}

	m = max(max(dp[n - 1][1],dp[n - 1][2]),dp[n - 1][0]);

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

	return 0;

}

// Faster C++ solution for the same problem (measured speedup: 3.5612152720920354x):
#include<bits/stdc++.h>

using namespace std;

const int Max= 1e5+10;

long long dp[Max][4];

long long a[Max][4];

int main()

{

	int n;

	scanf("%d",&n);

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

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

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

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

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

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

	{

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

		{

			if(j==1)

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

			else if(j==2)

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

			else

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

		}

	}

	printf("%lld\n",max(dp[n][1],max(dp[n][2],dp[n][3])));

	return 0;

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

using namespace std;



typedef signed long long ll;

const int MX = 1e5 + 5;

const int INF = 1e9 + 5;

int n, A[MX][3], dp[MX][4];



int solve(int pos, int prev) {

    if(pos >= n) return 0;

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

    int ans = 0;

    if(prev == 1) 

        ans = max(ans, max(A[pos][1] + solve(pos + 1, 2), A[pos][2] + solve(pos + 1, 3)));

    else if(prev == 2) 

        ans = max(ans, max(A[pos][0] + solve(pos + 1, 1), A[pos][2] + solve(pos + 1, 3)));

    else if(prev == 3) 

        ans = max(ans, max(A[pos][1] + solve(pos + 1, 2), A[pos][0] + solve(pos + 1, 1)));

    else

        ans = max(A[pos][0] + solve(pos + 1, 1), max(A[pos][1] + solve(pos + 1, 2), A[pos][2] + solve(pos + 1, 3)));

    return dp[pos][prev] = ans;

}



int main() {

    scanf("%d", &n);



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

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

    }

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

    int ans = solve(0, 0);

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

    return 0;

}

// Faster C++ solution for the same problem (measured speedup: 2.618781734266011x):
#include<bits/stdc++.h>

using namespace std;

const int Max= 1e5+10;

long long dp[Max][4];

long long a[Max][4];

int main()

{

	int n;

	scanf("%d",&n);

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

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

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

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

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

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

	{

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

		{

			if(j==1)

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

			else if(j==2)

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

			else

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

		}

	}

	printf("%lld\n",max(dp[n][1],max(dp[n][2],dp[n][3])));

	return 0;

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

using namespace std;

typedef long long int ll;

const int MAX=1e5+10;

int N,A[MAX],B[MAX],C[MAX],dp[MAX][3];

int solve(int idx,int pr)

{

    if(idx>N)return 0;

    if(dp[idx][pr]!=-1)return dp[idx][pr];

    int res=0;

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

        if(i==pr)continue;

        int val=0;

        if(i==1)val=A[idx];

        if(i==2)val=B[idx];

        if(i==3)val=C[idx];

        res = max(res,solve(idx+1,i)+val);

    }

    return dp[idx][pr]=res;

}

int  main ()

{

    memset(dp,-1,sizeof dp);

    cin >> N;

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

        cin >> A[i] >> B[i] >> C[i];

    }

    cout<<solve(1,0)<<endl;

    return 0;

}






// Faster C++ solution for the same problem (measured speedup: 2.204678750918733x):
#include <iostream>



/* run this program using the console pauser or add your own getch, system("pause") or input loop */

using namespace std;





int maxRow(int dp[][3],bool calculated[][3],int M[][3],int selection,int row){

	if(calculated[row][selection])return dp[row][selection];

	if(row==0){

		calculated[row][selection]=true;

		return dp[row][selection]=M[row][selection];

		

		}

		int max=-1;

		int parent=-1;

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

			if(i!=selection){

				if(max<maxRow(dp,calculated,M,i,row-1)+M[row][selection]){

				max=maxRow(dp,calculated,M,i,row-1)+M[row][selection];	

				parent=i;

				}

				

				

			}

		}

		calculated[row][selection]=true;

	

		

		return	dp[row][selection]=max; 

				

	}



int main(int argc, char** argv) {

	int N;

	cin>>N;

   int M[N][3];	

   bool calculated[N][3];

   int dp[N][3];

   

   





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

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

			cin>>M[i][j];

		calculated[i][j]=false;



		}

	}

	

	//cout<<maxRow(dp,calculated,M,0,N-1)<<endl;	

		int max=-1;

		int head=-1;

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

		if(max<maxRow(dp,calculated,M,i,N-1))

		max=maxRow(dp,calculated,M,i,N-1);

		

		}

	

	cout<<max<<endl;

	

	return 0;

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

using namespace std;

#define print printf("==================\n")

#define ll long long

#define pi acos(-1.0)

#define eps 1e-16

#define max3(a,b,c) max(a,max(b,c))

const ll INF = 1 << 30;

typedef pair<ll, ll  > payar;

typedef struct

{

    ll  x, y;

} point;

priority_queue<payar, vector<payar>,  greater<payar> > pq; ///accending

vector< pair<ll,payar  > > vpp;

vector < payar >  vp;



ll n ;

int ara[100005][4];

ll dp[100005][4];

ll cal(int day, int itm)

{

    if(day>n)

    {

        return 0;

    }



    if(dp[day][itm]!=-1)

        return dp[day][itm];

    ll maxi = -1;

    if(day==1)

    {

   return   maxi = dp[day][itm]=max3( cal(day+1,1)+ara[day][1], cal(day+1,2)+ara[day][2], cal(day+1,3)+ara[day][3] );



    }

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

    {

            if(i==itm)

                continue;

            maxi=max( cal(day+1,i)+ara[day][i],maxi);





    }

    return dp[day][itm]=maxi;

}



int main()

{



    cin>>n;

    memset(dp,-1,sizeof dp);

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

    {

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

        {

            cin>>ara[i][j];

        }

    }

    cout<<cal(1,1);







    return  0 ;

}


// Faster C++ solution for the same problem (measured speedup: 4.210303238851531x):
#include <iostream>



/* run this program using the console pauser or add your own getch, system("pause") or input loop */

using namespace std;





int maxRow(int dp[][3],bool calculated[][3],int M[][3],int selection,int row){

	if(calculated[row][selection])return dp[row][selection];

	if(row==0){

		calculated[row][selection]=true;

		return dp[row][selection]=M[row][selection];

		

		}

		int max=-1;

		int parent=-1;

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

			if(i!=selection){

				if(max<maxRow(dp,calculated,M,i,row-1)+M[row][selection]){

				max=maxRow(dp,calculated,M,i,row-1)+M[row][selection];	

				parent=i;

				}

				

				

			}

		}

		calculated[row][selection]=true;

	

		

		return	dp[row][selection]=max; 

				

	}



int main(int argc, char** argv) {

	int N;

	cin>>N;

   int M[N][3];	

   bool calculated[N][3];

   int dp[N][3];

   

   





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

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

			cin>>M[i][j];

		calculated[i][j]=false;



		}

	}

	

	//cout<<maxRow(dp,calculated,M,0,N-1)<<endl;	

		int max=-1;

		int head=-1;

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

		if(max<maxRow(dp,calculated,M,i,N-1))

		max=maxRow(dp,calculated,M,i,N-1);

		

		}

	

	cout<<max<<endl;

	

	return 0;

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

#include <cstdint>

#include <cinttypes>

#include <cstring>

#include <algorithm>



using i32 = std::int_fast32_t;



const int MaxN = 100001;



int A[MaxN][3], dp[MaxN][3];



signed main(signed argc, char **argv) {

	i32 n;

	std::scanf("%" SCNdFAST32, &n);

	

	for (i32 i = 0; i < n; ++ i) {

		std::scanf("%" SCNdFAST32 "%" SCNdFAST32 "%" SCNdFAST32, A[i], A[i] + 1, A[i] + 2);

	}

	

	memset(dp, 0, sizeof dp);

	

	dp[0][0] = A[0][0];

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

	dp[0][2] = A[0][2];

	

	for (i32 i = 1; i < n; ++ i) {

		for (i32 j = 0; j < 3; ++ j) {

			for (i32 a = 0; a < 3; ++ a) {

				if (a == j) {

					continue;

				}

				dp[i][j] = std::max(dp[i][j], dp[i - 1][a] + A[i][j]);

			}

		}

	}

	

	std::printf("%" PRIdFAST32, std::max(dp[n - 1][0], std::max(dp[n - 1][1], dp[n - 1][2])));

	return 0;

}

// Faster C++ solution for the same problem (measured speedup: 1.385800580149363x):
#include <iostream>



/* run this program using the console pauser or add your own getch, system("pause") or input loop */

using namespace std;





int maxRow(int dp[][3],bool calculated[][3],int M[][3],int selection,int row){

	if(calculated[row][selection])return dp[row][selection];

	if(row==0){

		calculated[row][selection]=true;

		return dp[row][selection]=M[row][selection];

		

		}

		int max=-1;

		int parent=-1;

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

			if(i!=selection){

				if(max<maxRow(dp,calculated,M,i,row-1)+M[row][selection]){

				max=maxRow(dp,calculated,M,i,row-1)+M[row][selection];	

				parent=i;

				}

				

				

			}

		}

		calculated[row][selection]=true;

	

		

		return	dp[row][selection]=max; 

				

	}



int main(int argc, char** argv) {

	int N;

	cin>>N;

   int M[N][3];	

   bool calculated[N][3];

   int dp[N][3];

   

   





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

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

			cin>>M[i][j];

		calculated[i][j]=false;



		}

	}

	

	//cout<<maxRow(dp,calculated,M,0,N-1)<<endl;	

		int max=-1;

		int head=-1;

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

		if(max<maxRow(dp,calculated,M,i,N-1))

		max=maxRow(dp,calculated,M,i,N-1);

		

		}

	

	cout<<max<<endl;

	

	return 0;

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

using namespace std;

#define N (int)2e5

int n,a[N],b[N],c[N],memo[N][10];



// a = 0, b = 1, c = 2

int dp(int curr , int last) {

    if (curr > n) return 0;

    int &sol = memo[curr][last];

    if (sol != -1) return sol;

    if (last == 0) {

        sol = max(

            dp(curr + 1 , 1) + b[curr] ,

            dp(curr + 1 , 2) + c[curr]

        );

    } else if (last == 1) {

        sol = max(

            dp(curr + 1 , 0) + a[curr] ,

            dp(curr + 1 , 2) + c[curr]

        );

    } else {

        sol = max(

            dp(curr + 1 , 0) + a[curr] ,

            dp(curr + 1 , 1) + b[curr]

        );

    }

    return sol;

}



int main() {

    scanf("%d" , &n);

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

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

    memset (memo , -1 , sizeof memo);

    printf("%d\n" , max(dp(2 , 0) + a[1] , max(dp(2 , 1) + b[1] , dp(2 , 2) + c[1])));

}


// Faster C++ solution for the same problem (measured speedup: 9.340474994449197x):
#include <iostream>



/* run this program using the console pauser or add your own getch, system("pause") or input loop */

using namespace std;





int maxRow(int dp[][3],bool calculated[][3],int M[][3],int selection,int row){

	if(calculated[row][selection])return dp[row][selection];

	if(row==0){

		calculated[row][selection]=true;

		return dp[row][selection]=M[row][selection];

		

		}

		int max=-1;

		int parent=-1;

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

			if(i!=selection){

				if(max<maxRow(dp,calculated,M,i,row-1)+M[row][selection]){

				max=maxRow(dp,calculated,M,i,row-1)+M[row][selection];	

				parent=i;

				}

				

				

			}

		}

		calculated[row][selection]=true;

	

		

		return	dp[row][selection]=max; 

				

	}



int main(int argc, char** argv) {

	int N;

	cin>>N;

   int M[N][3];	

   bool calculated[N][3];

   int dp[N][3];

   

   





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

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

			cin>>M[i][j];

		calculated[i][j]=false;



		}

	}

	

	//cout<<maxRow(dp,calculated,M,0,N-1)<<endl;	

		int max=-1;

		int head=-1;

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

		if(max<maxRow(dp,calculated,M,i,N-1))

		max=maxRow(dp,calculated,M,i,N-1);

		

		}

	

	cout<<max<<endl;

	

	return 0;

}