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

#define ull unsigned long long

#define ll long long

#define pb push_back

#define endl '\n'

#define line cout<<"----------------------"<<endl

#define mp make_pair

#define mod 1000000007

#define fast ios_base::sync_with_stdio(false); cin.tie(NULL)

#define filein freopen("input.txt","r",stdin)

#define fileout freopen("output.txt","w",stdout)

using namespace std;

const ll  mx=300009;

struct edge

{

    ll  a,b,c;

};

vector<edge> v;

ll  dp[100009][4];

ll  call(ll  ind, ll  pre)

{

    if(ind==v.size()) return 0;

    ll  &ret=dp[ind][pre];

    if(ret!=-1) return ret;

    ret=0;

    ll  a=0,b=0,c=0;

    auto x=v[ind];

        if(pre==1)

        {

            a=x.b+call(ind+1,2);

            b=x.c+call(ind+1,3);

        }

        else if(pre==2)

        {

            a=x.a+call(ind+1,1);

            b=x.c+call(ind+1,3);

        }

        else if(pre==3)

        {

            a=x.a+call(ind+1,1);

            b=x.b+call(ind+1,2);

        }

        else

        {

            a=x.a+call(ind+1,1);

            b=x.b+call(ind+1,2);

            c=x.c+call(ind+1,3);

        }

    return ret=max(a,max(b,c));

}

int  main()

{

    ll  n ;

    cin>>n;

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

    {

        ll  a,b,c; cin>>a>>b>>c;

        v.pb({a,b,c});

    }

    memset(dp,-1,sizeof dp);

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







}


// Faster C++ solution for the same problem (measured speedup: 4.163457275929204x):
/*BISMILLAH

THE WHITE WOLF

NO DREAM IS TOO BIG AND NO DREAMER IS TOO SMALL*/



#include<bits/stdc++.h>

using namespace std;



#define io ios_base::sync_with_stdio(false)

#define ll long long

#define ull unsigned long long

#define vi vector<int>

#define vll vector<long long>

#define pb push_back

#define mod  10000007

#define pii pair<int, int>

#define PI 2*acos(0.0)

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





int main()

{

    io;

    int n;

    cin>>n;

    ll dp[n+1][3];

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

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

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

        dp[0][i] = 0;

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

    {

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

        {

            ll ma = 0;

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

            {

                if(a == j)

                    continue;

                ma = max(ma, dp[i-1][a]);

            }

            dp[i][j] += ma;

        }

    }

    ll ans = 0;

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

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

    cout<<ans;

    return 0;

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

#define ll long long

using namespace std;



ll n;

std::vector<ll> ara[100010];

ll dp[100010][4];



ll fnc(ll idx,ll last){

  if(idx == n) return 0;

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



  ll res1 = - (1<<25);

  ll res2 = - (1<<25);

  ll res3 = - (1<<25);



  if(last == 0){

    res1 = max(res1,ara[idx][0] + fnc(idx+1,1));

    res2 = max(res2,ara[idx][1] + fnc(idx+1,2));

    res3 = max(res3,ara[idx][2] + fnc(idx+1,3));

  }else if(last == 1){

    res2 = max(res2,ara[idx][1] + fnc(idx+1,2));

    res3 = max(res3,ara[idx][2] + fnc(idx+1,3));

  }else if(last == 2){

    res1 = max(res1,ara[idx][0] + fnc(idx+1,1));

    res3 = max(res3,ara[idx][2] + fnc(idx+1,3));

  }else if(last == 3){

    res1 = max(res1,ara[idx][0] + fnc(idx+1,1));

    res2 = max(res2,ara[idx][1] + fnc(idx+1,2));

  }

  dp[idx][last] = max(res1, max(res2,res3));

  return dp[idx][last];

}



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

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

  cin >> n;

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

    int a,b,c;

    cin >> a >> b >> c;

    ara[i].push_back(a);

    ara[i].push_back(b);

    ara[i].push_back(c);

  }



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

  return 0;

}


// Faster C++ solution for the same problem (measured speedup: 7.070527574603353x):
/*BISMILLAH

THE WHITE WOLF

NO DREAM IS TOO BIG AND NO DREAMER IS TOO SMALL*/



#include<bits/stdc++.h>

using namespace std;



#define io ios_base::sync_with_stdio(false)

#define ll long long

#define ull unsigned long long

#define vi vector<int>

#define vll vector<long long>

#define pb push_back

#define mod  10000007

#define pii pair<int, int>

#define PI 2*acos(0.0)

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





int main()

{

    io;

    int n;

    cin>>n;

    ll dp[n+1][3];

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

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

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

        dp[0][i] = 0;

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

    {

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

        {

            ll ma = 0;

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

            {

                if(a == j)

                    continue;

                ma = max(ma, dp[i-1][a]);

            }

            dp[i][j] += ma;

        }

    }

    ll ans = 0;

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

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

    cout<<ans;

    return 0;

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

using namespace std;



int n;

int dp[100100][4];

vector<int> arr[100100];



int main() {

    cin >> n;

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

        int k;

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

            cin >> k;

            arr[i].push_back(k);

        }

    }



    for (int i = 0; i < 3; ++i) dp[1][i] = arr[1][i];



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

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



            if ( j == 0 ) 

                dp[pos][j] = arr[pos][j] + max(dp[pos - 1][1], dp[pos - 1][2]);

            

            else if ( j == 1 )

                dp[pos][j] = arr[pos][j] + max(dp[pos - 1][0], dp[pos - 1][2]);



            else

                dp[pos][j] = arr[pos][j] + max(dp[pos - 1][0], dp[pos - 1][1]);

        }

    }



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

    return 0;

}


// Faster C++ solution for the same problem (measured speedup: 3.4845317032620957x):
#include<bits/stdc++.h>

#include<iostream>

using namespace std;

#define pii pair<int,int>

#define ll long long

#define pb push_back

#define fi first

#define se second

#define mp make_pair

#define gap ' '

#define abs(x) ((x)>0?(x):-(x))

#define INF 1e18

#define mod  10000007

int main()

{

 ios::sync_with_stdio(0);

    cin.tie(0);

    int n;

    cin>>n;

    vector<int> v[n];

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

    {

        int x,y,z;

        cin>>x>>y>>z;

        v[i].pb(x);

        v[i].pb(y);

        v[i].pb(z);

    }

    int dp[n+1][3];

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

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

    dp[1][2]=v[0][2];

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

    {

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

        {

            dp[i][j]=0;

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

            {

                if(j==k) continue;

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

            }

        }

    }

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

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

using namespace std;



#define MAX_N 100005

int N, h[MAX_N][3], memo[MAX_N][3];



int main() {

  scanf("%i", &N);

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

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

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

	}

  }

  memset(memo, -1, sizeof memo);

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

  	memo[0][c] = h[0][c];

  }

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

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

  	  int &opt = memo[d][c];

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

  	    if (cc != c) {

  	      opt = max(opt, memo[d - 1][cc] + h[d][c]);

		  /*

  	      if (d == 1) {

  	        printf("%i %i %i %i\n", memo[d - 1][cc], h[d][c], cc, c);

		  }

		  */

		}

	  }

	}

  }

  /*

  puts("\ndebug");

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

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

  	  printf("%i ", memo[d][c]);

	}

	puts("");

  }

  puts("end-debug\n");

  */

  int ans = -1;

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

  	ans = max(ans, memo[N - 1][c]);

  }

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

  

}

// Faster C++ solution for the same problem (measured speedup: 2.156230319623166x):
#include<bits/stdc++.h>

#include<iostream>

using namespace std;

#define pii pair<int,int>

#define ll long long

#define pb push_back

#define fi first

#define se second

#define mp make_pair

#define gap ' '

#define abs(x) ((x)>0?(x):-(x))

#define INF 1e18

#define mod  10000007

int main()

{

 ios::sync_with_stdio(0);

    cin.tie(0);

    int n;

    cin>>n;

    vector<int> v[n];

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

    {

        int x,y,z;

        cin>>x>>y>>z;

        v[i].pb(x);

        v[i].pb(y);

        v[i].pb(z);

    }

    int dp[n+1][3];

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

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

    dp[1][2]=v[0][2];

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

    {

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

        {

            dp[i][j]=0;

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

            {

                if(j==k) continue;

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

            }

        }

    }

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

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

#include<cstring>

#include<algorithm>

#include<cmath>

using namespace std;

int main()

{

    int n,i,j,k;

    int a[100005][5];

    scanf("%d",&n);

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

    scanf("%d %d %d",&a[i][1],&a[i][2],&a[i][3]);

    int dp[100005][5];

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

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

    dp[1][2] = a[1][2];

    dp[1][3] = a[1][3];

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

    {

        for(j = 1;j < 4;j++)

        {

            for(k = 1;k < 4;k++)

            {

                if(k != j)

                {

                    if(dp[i][j] < dp[i - 1][k] + a[i][j])

                    dp[i][j] = dp[i - 1][k] + a[i][j];

                }

            }

        }

    }

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

    return 0;

}

// Faster C++ solution for the same problem (measured speedup: 2.2354619328595327x):
#include<bits/stdc++.h>

#include<iostream>

using namespace std;

#define pii pair<int,int>

#define ll long long

#define pb push_back

#define fi first

#define se second

#define mp make_pair

#define gap ' '

#define abs(x) ((x)>0?(x):-(x))

#define INF 1e18

#define mod  10000007

int main()

{

 ios::sync_with_stdio(0);

    cin.tie(0);

    int n;

    cin>>n;

    vector<int> v[n];

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

    {

        int x,y,z;

        cin>>x>>y>>z;

        v[i].pb(x);

        v[i].pb(y);

        v[i].pb(z);

    }

    int dp[n+1][3];

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

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

    dp[1][2]=v[0][2];

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

    {

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

        {

            dp[i][j]=0;

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

            {

                if(j==k) continue;

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

            }

        }

    }

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

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



using namespace std;



vector<vector<int> > v;

int ans[100005][3];

queue<pair<int,pair<int,int> > >s;

int maior,a=0;



void dp(int i, int bloq, int sum) {

  if(ans[i-1][bloq]>sum)

    return;

  

  if (i>=v.size())

    maior = max(sum, maior);

  else {

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

      if (bloq != j) {



        if(ans[i][j]==-1) {

          ans[i][j] = sum+v[i][j];

          s.push({sum+v[i][j],{i+1,j}});

        }

        else if (ans[i][j]<sum+v[i][j]) {

          ans[i][j] = sum+v[i][j];

          s.push({sum+v[i][j],{i+1,j}});

        }



        //dp(i+1, j, sum+v[i][j]);

      }

    }

  }

}



int main () {

  int n;

  cin>>n;

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

    int a,b,c;

    cin>>a>>b>>c;

    v.push_back({a,b,c});

  }



  maior=0;

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

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

    s.push({v[0][i],{1,i}});

    //dp(1, i, v[0][i]);

  }



  while(!s.empty()) {

    pair<int,pair<int,int> > aux = s.front();

    dp(aux.second.first, aux.second.second, aux.first);

    s.pop();

  }



  cout<<maior<<endl;



}




// Faster C++ solution for the same problem (measured speedup: 2.1857444091911225x):
#include<bits/stdc++.h>

#include<iostream>

using namespace std;

#define pii pair<int,int>

#define ll long long

#define pb push_back

#define fi first

#define se second

#define mp make_pair

#define gap ' '

#define abs(x) ((x)>0?(x):-(x))

#define INF 1e18

#define mod  10000007

int main()

{

 ios::sync_with_stdio(0);

    cin.tie(0);

    int n;

    cin>>n;

    vector<int> v[n];

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

    {

        int x,y,z;

        cin>>x>>y>>z;

        v[i].pb(x);

        v[i].pb(y);

        v[i].pb(z);

    }

    int dp[n+1][3];

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

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

    dp[1][2]=v[0][2];

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

    {

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

        {

            dp[i][j]=0;

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

            {

                if(j==k) continue;

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

            }

        }

    }

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

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

using namespace std;

typedef long long ll;

typedef long long int lli;

typedef long double ld;

const int oo = 1e9;



int n;

const int nx = 1e5+5;

int ac[nx][3];

int dp[3][nx];



int go(int a, int i){

	if(i == n) return 0;

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

	int& ans = dp[a][i];

	

	if(a==0){

		ans=max(ans, go(1, i+1)+ac[i][0]);

		ans=max(ans, go(2, i+1)+ac[i][0]);

	}

	if(a==1){

		ans=max(ans, go(0, i+1)+ac[i][1]);

		ans=max(ans, go(2, i+1)+ac[i][1]);

	}

	if(a==2){

		ans=max(ans, go(0, i+1)+ac[i][2]);

		ans=max(ans, go(1, i+1)+ac[i][2]);

	}

	

	return ans;

}



int main(){

	cin>>n;

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

	memset(dp, -1, sizeof dp);

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

	return 0;

}


// Faster C++ solution for the same problem (measured speedup: 2.1751169009691407x):
#include<bits/stdc++.h>

#include<iostream>

using namespace std;

#define pii pair<int,int>

#define ll long long

#define pb push_back

#define fi first

#define se second

#define mp make_pair

#define gap ' '

#define abs(x) ((x)>0?(x):-(x))

#define INF 1e18

#define mod  10000007

int main()

{

 ios::sync_with_stdio(0);

    cin.tie(0);

    int n;

    cin>>n;

    vector<int> v[n];

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

    {

        int x,y,z;

        cin>>x>>y>>z;

        v[i].pb(x);

        v[i].pb(y);

        v[i].pb(z);

    }

    int dp[n+1][3];

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

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

    dp[1][2]=v[0][2];

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

    {

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

        {

            dp[i][j]=0;

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

            {

                if(j==k) continue;

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

            }

        }

    }

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

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

using namespace std;

const int oo = 1e9;

int number;

const int nx = 1e5+5;

int ac[nx][3];

int dyn[3][nx];

int init(int a, int i){

	if(i == number) 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)+ac[i][0]);

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

	}

	if(a==1){

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

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

	}

	if(a==2){

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

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

	}

	

	return res;

}

int main(){

	cin>>number;

	for(int i=0; i<number; i++) cin>>ac[i][0]>>ac[i][1]>>ac[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: 2.175140638338839x):
#include<bits/stdc++.h>

#include<iostream>

using namespace std;

#define pii pair<int,int>

#define ll long long

#define pb push_back

#define fi first

#define se second

#define mp make_pair

#define gap ' '

#define abs(x) ((x)>0?(x):-(x))

#define INF 1e18

#define mod  10000007

int main()

{

 ios::sync_with_stdio(0);

    cin.tie(0);

    int n;

    cin>>n;

    vector<int> v[n];

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

    {

        int x,y,z;

        cin>>x>>y>>z;

        v[i].pb(x);

        v[i].pb(y);

        v[i].pb(z);

    }

    int dp[n+1][3];

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

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

    dp[1][2]=v[0][2];

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

    {

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

        {

            dp[i][j]=0;

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

            {

                if(j==k) continue;

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

            }

        }

    }

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

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

using namespace std;

typedef long long ll;

typedef long long int lli;

typedef long double ld;

const int oo = 1e9;



int n;

const int nx = 1e5+5;

int ac[nx][3];

int dp[3][nx];

int go(int x, int i){

	if(i==n) return 0;

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

	int& ans = dp[x][i];

	if(x==0)

	{

		ans=max(ans, go(1, i+1)+ac[i][0]);

		ans=max(ans, go(2, i+1)+ac[i][0]);

	}

	if(x==1)

	{

		ans=max(ans, go(0, i+1)+ac[i][1]);

		ans=max(ans, go(2, i+1)+ac[i][1]);

	}

	if(x==2)

	{

		ans=max(ans, go(0, i+1)+ac[i][2]);

		ans=max(ans, go(1, i+1)+ac[i][2]);

	}

	

	return ans;

	

}

int main(){

    cin>>n;

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

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

    }

    memset(dp, -1, sizeof dp);

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

    return 0;

}

// Faster C++ solution for the same problem (measured speedup: 2.1751169009691407x):
#include<bits/stdc++.h>

#include<iostream>

using namespace std;

#define pii pair<int,int>

#define ll long long

#define pb push_back

#define fi first

#define se second

#define mp make_pair

#define gap ' '

#define abs(x) ((x)>0?(x):-(x))

#define INF 1e18

#define mod  10000007

int main()

{

 ios::sync_with_stdio(0);

    cin.tie(0);

    int n;

    cin>>n;

    vector<int> v[n];

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

    {

        int x,y,z;

        cin>>x>>y>>z;

        v[i].pb(x);

        v[i].pb(y);

        v[i].pb(z);

    }

    int dp[n+1][3];

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

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

    dp[1][2]=v[0][2];

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

    {

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

        {

            dp[i][j]=0;

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

            {

                if(j==k) continue;

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

            }

        }

    }

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

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

using namespace std;

typedef long long ll;



ll arr[100009][3];

int dp[100009][2][2][2];



long long VAC1(int n,int a, int b, int c)

{



    if(!n && a) return arr[n][0];

    else if(!n && b) return arr[n][1];

    else if(!n && c) return arr[n][2];

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



    else

    {



        ll x,y,z;

        if(a)

        {

            x = VAC1(n-1,0,1,0)+arr[n][0];

            y = VAC1(n-1,0,0,1)+arr[n][0];



        }



        else if(b)

        {

            x = VAC1(n-1,1,0,0)+arr[n][1];

            y = VAC1(n-1,0,0,1)+arr[n][1];

        }



        else if(c)

        {

            x = VAC1(n-1,1,0,0)+arr[n][2];

            y = VAC1(n-1,0,1,0)+arr[n][2];

        }



        dp[n][a][b][c] = max(x,y);;

        return dp[n][a][b][c];





    }

}



int main()

{

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

    int n;

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

    cin >> n;

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

    {

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

        {

            cin >> arr[i][j];

        }

    }

    ll res = VAC1(n-1,1,0,0);

    res= max(res, VAC1(n-1,0,1,0));

    res = max(res,VAC1(n-1,0,0,1));



    cout << res << endl;

}


// Faster C++ solution for the same problem (measured speedup: 4.157907212727365x):
#include<bits/stdc++.h>

#include<iostream>

using namespace std;

#define pii pair<int,int>

#define ll long long

#define pb push_back

#define fi first

#define se second

#define mp make_pair

#define gap ' '

#define abs(x) ((x)>0?(x):-(x))

#define INF 1e18

#define mod  10000007

int main()

{

 ios::sync_with_stdio(0);

    cin.tie(0);

    int n;

    cin>>n;

    vector<int> v[n];

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

    {

        int x,y,z;

        cin>>x>>y>>z;

        v[i].pb(x);

        v[i].pb(y);

        v[i].pb(z);

    }

    int dp[n+1][3];

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

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

    dp[1][2]=v[0][2];

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

    {

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

        {

            dp[i][j]=0;

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

            {

                if(j==k) continue;

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

            }

        }

    }

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

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

using namespace std;

#define ll long long

ll a[100009],b[100009],c[100009];

int dp[100009][3];

int main() {

    ios::sync_with_stdio(false);

    int n;cin>>n;

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

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

    memset(dp,0x3f, sizeof(dp));

    dp[1][0]=a[1];dp[1][1]=b[1];dp[1][2]=c[1];

    for(int i=2;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];

    }

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

    return 0;

}


// Faster C++ solution for the same problem (measured speedup: 2.1876110189925617x):
#include<bits/stdc++.h>

#include<iostream>

using namespace std;

#define pii pair<int,int>

#define ll long long

#define pb push_back

#define fi first

#define se second

#define mp make_pair

#define gap ' '

#define abs(x) ((x)>0?(x):-(x))

#define INF 1e18

#define mod  10000007

int main()

{

 ios::sync_with_stdio(0);

    cin.tie(0);

    int n;

    cin>>n;

    vector<int> v[n];

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

    {

        int x,y,z;

        cin>>x>>y>>z;

        v[i].pb(x);

        v[i].pb(y);

        v[i].pb(z);

    }

    int dp[n+1][3];

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

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

    dp[1][2]=v[0][2];

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

    {

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

        {

            dp[i][j]=0;

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

            {

                if(j==k) continue;

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

            }

        }

    }

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

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

using namespace std;

const int mx=100010;

int arr[mx][3],n;

int dp[mx][3];

int f(int pos,int ty){

	if(pos==n)return 0;

	int &ans=dp[pos][ty];

	if(ans^-1)return ans;

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

		if(ty^i){

			ans=max(ans,f(pos+1,i)+arr[pos][i]);

		}

	}

	return ans;

}



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

{

	memset(dp,-1,sizeof dp);

	cin>>n;

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

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

			cin>>arr[i][j];

		}

	}

	cout<<max({f(0,0),f(0,1),f(0,2)})<<endl;



	return 0;

}

// Faster C++ solution for the same problem (measured speedup: 2.1766158753330536x):
#include<bits/stdc++.h>

#include<iostream>

using namespace std;

#define pii pair<int,int>

#define ll long long

#define pb push_back

#define fi first

#define se second

#define mp make_pair

#define gap ' '

#define abs(x) ((x)>0?(x):-(x))

#define INF 1e18

#define mod  10000007

int main()

{

 ios::sync_with_stdio(0);

    cin.tie(0);

    int n;

    cin>>n;

    vector<int> v[n];

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

    {

        int x,y,z;

        cin>>x>>y>>z;

        v[i].pb(x);

        v[i].pb(y);

        v[i].pb(z);

    }

    int dp[n+1][3];

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

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

    dp[1][2]=v[0][2];

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

    {

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

        {

            dp[i][j]=0;

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

            {

                if(j==k) continue;

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

            }

        }

    }

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

}