stablegradients/pie-gem5-pairs huggingface dataset:
// 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: 2.16925159855229x):
#include<bits/stdc++.h>

using namespace std;

#define vb __int128

#define ll long long

#define ld long double

#define full(a) a.begin(),a.end()

#define stoink stack<ll>

#define vec vector <ll>

#define vg vector<vector<ll> >

#define vgw vector<vector<pair<ll,ll> >

#define pa pair<ll,ll>

#define mp make_pair

#define pb push_back

#define ff first

#define ss second

#define pre 0.00000000000000000001

#define inf 1000000000000

#define mod 998244353

vg arr;

ll n;

vg dp;

ll func(ll ind,ll act) {

	if(dp[ind][act]!=-1)

		return dp[ind][act];

	if(ind == n - 1)

		return arr[ind][act];

	ll i;

	ll res = -1;

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

		if(i == act)

			continue;

		res = max(res,arr[ind][act] + func(ind + 1,i));

	}

	return dp[ind][act] = res;

}

int main()

{	ios_base::sync_with_stdio(false);

	cin.tie(NULL);

	cout.tie(NULL);

	cin >> n;

	ll i,j;

	arr.assign(n,vector<ll>(3,0));

	dp.assign(n,vector<ll>(3,-1));

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

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

			cin >> arr[i][j];

	}

	ll res = -1;

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

		res = max(res,func(0,i));

	}

	cout << res;

	return 0;

}
// 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: 2.1587042815365307x):
#include<bits/stdc++.h>

using namespace std;

#define vb __int128

#define ll long long

#define ld long double

#define full(a) a.begin(),a.end()

#define stoink stack<ll>

#define vec vector <ll>

#define vg vector<vector<ll> >

#define vgw vector<vector<pair<ll,ll> >

#define pa pair<ll,ll>

#define mp make_pair

#define pb push_back

#define ff first

#define ss second

#define pre 0.00000000000000000001

#define inf 1000000000000

#define mod 998244353

vg arr;

ll n;

vg dp;

ll func(ll ind,ll act) {

	if(dp[ind][act]!=-1)

		return dp[ind][act];

	if(ind == n - 1)

		return arr[ind][act];

	ll i;

	ll res = -1;

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

		if(i == act)

			continue;

		res = max(res,arr[ind][act] + func(ind + 1,i));

	}

	return dp[ind][act] = res;

}

int main()

{	ios_base::sync_with_stdio(false);

	cin.tie(NULL);

	cout.tie(NULL);

	cin >> n;

	ll i,j;

	arr.assign(n,vector<ll>(3,0));

	dp.assign(n,vector<ll>(3,-1));

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

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

			cin >> arr[i][j];

	}

	ll res = -1;

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

		res = max(res,func(0,i));

	}

	cout << res;

	return 0;

}
// 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: 2.158727839792906x):
#include<bits/stdc++.h>

using namespace std;

#define vb __int128

#define ll long long

#define ld long double

#define full(a) a.begin(),a.end()

#define stoink stack<ll>

#define vec vector <ll>

#define vg vector<vector<ll> >

#define vgw vector<vector<pair<ll,ll> >

#define pa pair<ll,ll>

#define mp make_pair

#define pb push_back

#define ff first

#define ss second

#define pre 0.00000000000000000001

#define inf 1000000000000

#define mod 998244353

vg arr;

ll n;

vg dp;

ll func(ll ind,ll act) {

	if(dp[ind][act]!=-1)

		return dp[ind][act];

	if(ind == n - 1)

		return arr[ind][act];

	ll i;

	ll res = -1;

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

		if(i == act)

			continue;

		res = max(res,arr[ind][act] + func(ind + 1,i));

	}

	return dp[ind][act] = res;

}

int main()

{	ios_base::sync_with_stdio(false);

	cin.tie(NULL);

	cout.tie(NULL);

	cin >> n;

	ll i,j;

	arr.assign(n,vector<ll>(3,0));

	dp.assign(n,vector<ll>(3,-1));

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

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

			cin >> arr[i][j];

	}

	ll res = -1;

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

		res = max(res,func(0,i));

	}

	cout << res;

	return 0;

}
// 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: 2.1587042815365307x):
#include<bits/stdc++.h>

using namespace std;

#define vb __int128

#define ll long long

#define ld long double

#define full(a) a.begin(),a.end()

#define stoink stack<ll>

#define vec vector <ll>

#define vg vector<vector<ll> >

#define vgw vector<vector<pair<ll,ll> >

#define pa pair<ll,ll>

#define mp make_pair

#define pb push_back

#define ff first

#define ss second

#define pre 0.00000000000000000001

#define inf 1000000000000

#define mod 998244353

vg arr;

ll n;

vg dp;

ll func(ll ind,ll act) {

	if(dp[ind][act]!=-1)

		return dp[ind][act];

	if(ind == n - 1)

		return arr[ind][act];

	ll i;

	ll res = -1;

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

		if(i == act)

			continue;

		res = max(res,arr[ind][act] + func(ind + 1,i));

	}

	return dp[ind][act] = res;

}

int main()

{	ios_base::sync_with_stdio(false);

	cin.tie(NULL);

	cout.tie(NULL);

	cin >> n;

	ll i,j;

	arr.assign(n,vector<ll>(3,0));

	dp.assign(n,vector<ll>(3,-1));

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

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

			cin >> arr[i][j];

	}

	ll res = -1;

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

		res = max(res,func(0,i));

	}

	cout << res;

	return 0;

}
// 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: 4.126533198444182x):
#include<bits/stdc++.h>

using namespace std;

#define vb __int128

#define ll long long

#define ld long double

#define full(a) a.begin(),a.end()

#define stoink stack<ll>

#define vec vector <ll>

#define vg vector<vector<ll> >

#define vgw vector<vector<pair<ll,ll> >

#define pa pair<ll,ll>

#define mp make_pair

#define pb push_back

#define ff first

#define ss second

#define pre 0.00000000000000000001

#define inf 1000000000000

#define mod 998244353

vg arr;

ll n;

vg dp;

ll func(ll ind,ll act) {

	if(dp[ind][act]!=-1)

		return dp[ind][act];

	if(ind == n - 1)

		return arr[ind][act];

	ll i;

	ll res = -1;

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

		if(i == act)

			continue;

		res = max(res,arr[ind][act] + func(ind + 1,i));

	}

	return dp[ind][act] = res;

}

int main()

{	ios_base::sync_with_stdio(false);

	cin.tie(NULL);

	cout.tie(NULL);

	cin >> n;

	ll i,j;

	arr.assign(n,vector<ll>(3,0));

	dp.assign(n,vector<ll>(3,-1));

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

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

			cin >> arr[i][j];

	}

	ll res = -1;

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

		res = max(res,func(0,i));

	}

	cout << res;

	return 0;

}
// 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: 2.1711041236136x):
#include<bits/stdc++.h>

using namespace std;

#define vb __int128

#define ll long long

#define ld long double

#define full(a) a.begin(),a.end()

#define stoink stack<ll>

#define vec vector <ll>

#define vg vector<vector<ll> >

#define vgw vector<vector<pair<ll,ll> >

#define pa pair<ll,ll>

#define mp make_pair

#define pb push_back

#define ff first

#define ss second

#define pre 0.00000000000000000001

#define inf 1000000000000

#define mod 998244353

vg arr;

ll n;

vg dp;

ll func(ll ind,ll act) {

	if(dp[ind][act]!=-1)

		return dp[ind][act];

	if(ind == n - 1)

		return arr[ind][act];

	ll i;

	ll res = -1;

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

		if(i == act)

			continue;

		res = max(res,arr[ind][act] + func(ind + 1,i));

	}

	return dp[ind][act] = res;

}

int main()

{	ios_base::sync_with_stdio(false);

	cin.tie(NULL);

	cout.tie(NULL);

	cin >> n;

	ll i,j;

	arr.assign(n,vector<ll>(3,0));

	dp.assign(n,vector<ll>(3,-1));

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

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

			cin >> arr[i][j];

	}

	ll res = -1;

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

		res = max(res,func(0,i));

	}

	cout << res;

	return 0;

}
// 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: 2.1601919451999643x):
#include<bits/stdc++.h>

using namespace std;

#define vb __int128

#define ll long long

#define ld long double

#define full(a) a.begin(),a.end()

#define stoink stack<ll>

#define vec vector <ll>

#define vg vector<vector<ll> >

#define vgw vector<vector<pair<ll,ll> >

#define pa pair<ll,ll>

#define mp make_pair

#define pb push_back

#define ff first

#define ss second

#define pre 0.00000000000000000001

#define inf 1000000000000

#define mod 998244353

vg arr;

ll n;

vg dp;

ll func(ll ind,ll act) {

	if(dp[ind][act]!=-1)

		return dp[ind][act];

	if(ind == n - 1)

		return arr[ind][act];

	ll i;

	ll res = -1;

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

		if(i == act)

			continue;

		res = max(res,arr[ind][act] + func(ind + 1,i));

	}

	return dp[ind][act] = res;

}

int main()

{	ios_base::sync_with_stdio(false);

	cin.tie(NULL);

	cout.tie(NULL);

	cin >> n;

	ll i,j;

	arr.assign(n,vector<ll>(3,0));

	dp.assign(n,vector<ll>(3,-1));

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

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

			cin >> arr[i][j];

	}

	ll res = -1;

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

		res = max(res,func(0,i));

	}

	cout << res;

	return 0;

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

#include<bits/stdc++.h>

#include<unordered_map>

#include<unordered_set>	

using namespace std;

typedef long long ll;

#define bay_bay return 0;

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

#define for1(n) for(int i=1;i<=n;i+=3)

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

#define sz(v) v.size()

#define endl "\n"

constexpr auto EPS = 1e-9;

#define ff fflush(stdout);

const int mod = 1000000007LL;

clock_t T;

#define ctime cerr << "Time : " << double(clock() - T) / CLOCKS_PER_SEC << endl

void GOAT()

{

	std::ios_base::sync_with_stdio(0);

	cin.tie(NULL);

	cout.tie(NULL);

#ifndef ONLINE_JUDGE

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

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

#else

#endif

}

struct day

{

	ll a, b, c;



};

day days[100009];

ll mem[100009][4];

int n;

ll solve(int idx, int ch)

{

	if (idx == n)

	{

		return 0;

	}

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

	if (~ret)

		return ret;

	ret = LLONG_MIN;

	if (ch != 1)

		ret=max(ret, days[idx].a + solve(idx + 1, 1));

	if (ch != 2)

		ret=max(ret, days[idx].b + solve(idx + 1, 2));

	if (ch != 3)

		ret=max(ret, days[idx].c + solve(idx + 1, 3));

	return ret;



}

int main()

{

	//GOAT();

	cin >> n;

	memset(mem, -1,sizeof mem);

	fori(n)

	{

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

	}

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

	

}

// Faster C++ solution for the same problem (measured speedup: 4.128014112664464x):
#include<bits/stdc++.h>

using namespace std;

#define vb __int128

#define ll long long

#define ld long double

#define full(a) a.begin(),a.end()

#define stoink stack<ll>

#define vec vector <ll>

#define vg vector<vector<ll> >

#define vgw vector<vector<pair<ll,ll> >

#define pa pair<ll,ll>

#define mp make_pair

#define pb push_back

#define ff first

#define ss second

#define pre 0.00000000000000000001

#define inf 1000000000000

#define mod 998244353

vg arr;

ll n;

vg dp;

ll func(ll ind,ll act) {

	if(dp[ind][act]!=-1)

		return dp[ind][act];

	if(ind == n - 1)

		return arr[ind][act];

	ll i;

	ll res = -1;

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

		if(i == act)

			continue;

		res = max(res,arr[ind][act] + func(ind + 1,i));

	}

	return dp[ind][act] = res;

}

int main()

{	ios_base::sync_with_stdio(false);

	cin.tie(NULL);

	cout.tie(NULL);

	cin >> n;

	ll i,j;

	arr.assign(n,vector<ll>(3,0));

	dp.assign(n,vector<ll>(3,-1));

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

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

			cin >> arr[i][j];

	}

	ll res = -1;

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

		res = max(res,func(0,i));

	}

	cout << res;

	return 0;

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

#define p5 100005

using namespace std;



int dp[p5][4],a[p5][4];

int n;



int solve(int day,int state)

{

    if(day==n) return a[day][state];

    if(dp[day][state]!=-1) return dp[day][state];

    int cost=a[day][state];

    if(state==1) cost+=max(solve(day+1,2),solve(day+1,3));

    else if(state==2) cost+=max(solve(day+1,1),solve(day+1,3));

    else if(state==3) cost+=max(solve(day+1,1),solve(day+1,2));

    else cost=max( solve(day+1,1), max(solve(day+1,2),solve(day+1,3)) );



    return dp[day][state]=cost;

}



int main()

{

    scanf("%d",&n);

    for(int i=1;i<=n;i++) scanf("%d %d %d",&a[i][1],&a[i][2],&a[i][3]);

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

    printf("%d\n",solve(0,0));



    return 0;

}


// Faster C++ solution for the same problem (measured speedup: 2.5295379754813627x):
#include<bits/stdc++.h>

using namespace std;

#define vb __int128

#define ll long long

#define ld long double

#define full(a) a.begin(),a.end()

#define stoink stack<ll>

#define vec vector <ll>

#define vg vector<vector<ll> >

#define vgw vector<vector<pair<ll,ll> >

#define pa pair<ll,ll>

#define mp make_pair

#define pb push_back

#define ff first

#define ss second

#define pre 0.00000000000000000001

#define inf 1000000000000

#define mod 998244353

vg arr;

ll n;

vg dp;

ll func(ll ind,ll act) {

	if(dp[ind][act]!=-1)

		return dp[ind][act];

	if(ind == n - 1)

		return arr[ind][act];

	ll i;

	ll res = -1;

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

		if(i == act)

			continue;

		res = max(res,arr[ind][act] + func(ind + 1,i));

	}

	return dp[ind][act] = res;

}

int main()

{	ios_base::sync_with_stdio(false);

	cin.tie(NULL);

	cout.tie(NULL);

	cin >> n;

	ll i,j;

	arr.assign(n,vector<ll>(3,0));

	dp.assign(n,vector<ll>(3,-1));

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

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

			cin >> arr[i][j];

	}

	ll res = -1;

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

		res = max(res,func(0,i));

	}

	cout << res;

	return 0;

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

     **author : _KMS_

     **created : 01-04-2020

**/

#include<bits/stdc++.h>

using namespace std;

const long long M =3e5+10,MOD=1e9+7;

typedef long long ll;

vector<int>v[M];

bool vis[M];

int dp[M][7];

int arr[10];

int main()

{

    ios::sync_with_stdio(false);

    cin.tie(0);

    int t,n;

    cin>>n;

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

    {

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

      {

        cin>>arr[j];

       for(int k=1;k<=3;k++)if(j!=k)dp[i][j]=max(dp[i][j],dp[i-1][k]+arr[j]);

      }

    }



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

    return 0;

}

// Faster C++ solution for the same problem (measured speedup: 9.211373388382476x):
#include<bits/stdc++.h>

using namespace std;

#define vb __int128

#define ll long long

#define ld long double

#define full(a) a.begin(),a.end()

#define stoink stack<ll>

#define vec vector <ll>

#define vg vector<vector<ll> >

#define vgw vector<vector<pair<ll,ll> >

#define pa pair<ll,ll>

#define mp make_pair

#define pb push_back

#define ff first

#define ss second

#define pre 0.00000000000000000001

#define inf 1000000000000

#define mod 998244353

vg arr;

ll n;

vg dp;

ll func(ll ind,ll act) {

	if(dp[ind][act]!=-1)

		return dp[ind][act];

	if(ind == n - 1)

		return arr[ind][act];

	ll i;

	ll res = -1;

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

		if(i == act)

			continue;

		res = max(res,arr[ind][act] + func(ind + 1,i));

	}

	return dp[ind][act] = res;

}

int main()

{	ios_base::sync_with_stdio(false);

	cin.tie(NULL);

	cout.tie(NULL);

	cin >> n;

	ll i,j;

	arr.assign(n,vector<ll>(3,0));

	dp.assign(n,vector<ll>(3,-1));

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

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

			cin >> arr[i][j];

	}

	ll res = -1;

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

		res = max(res,func(0,i));

	}

	cout << res;

	return 0;

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

#define _CRT_SECURE_NO_WARNINGS

#include <bits/stdc++.h>

#include <unordered_set>

#include <unordered_map>



using namespace std;



typedef long long ll;

typedef long long ull;

typedef pair<ll, ll> ii;



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

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

#define endl		"\n"

#define fx(n)		fixed<<setprecision(n)

#define mk			make_pair	



void File()

{

#ifndef ONLINE_JUDGE

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

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

#endif

#ifdef ONLINE_JUDGE

	/*freopen("output.txt", "w", stdout);

	freopen("pyramid.in", "r", stdin);*/

#endif

}

void fast()

{

	ios::sync_with_stdio(NULL);

	cout.tie(NULL);

	cin.tie(NULL);

	//File();

}

const double pi = 2 * acos(0.0);

const ll oo = 0x3f3f3f3f;

const int MOD = 1e9 + 7;

const int nn = 1e5 + 15;

int dx[8] = { 1, -1, 0, 0, 1, -1, 1, -1 };

int dy[8] = { 0, 0, 1, -1, 1, -1, -1, 1 };



int n, k;

vector<pair<int, pair<int, int>>>v;

ll dp[nn][4];

ll solve(int idx, int last)

{

	if (idx >= n)

		return 0;

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

	if (~ret)

		return ret;

	ret = 0;

	if (last != 1)

		ret = max(ret, solve(idx + 1, 1) + v[idx].first);



	if (last != 2)

		ret = max(ret, solve(idx + 1, 2) + v[idx].second.first);



	if (last != 3)

		ret = max(ret, solve(idx + 1, 3) + v[idx].second.second);



	return ret;

}

int main()

{

	fast();

	cin >> n;

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

	{

		int x, y, z;

		cin >> x >> y >> z;

		v.push_back(mk(x, mk(y, z)));

	}

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

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

	return 0;

}

// Faster C++ solution for the same problem (measured speedup: 4.1483710811555286x):
#include<bits/stdc++.h>

using namespace std;

#define vb __int128

#define ll long long

#define ld long double

#define full(a) a.begin(),a.end()

#define stoink stack<ll>

#define vec vector <ll>

#define vg vector<vector<ll> >

#define vgw vector<vector<pair<ll,ll> >

#define pa pair<ll,ll>

#define mp make_pair

#define pb push_back

#define ff first

#define ss second

#define pre 0.00000000000000000001

#define inf 1000000000000

#define mod 998244353

vg arr;

ll n;

vg dp;

ll func(ll ind,ll act) {

	if(dp[ind][act]!=-1)

		return dp[ind][act];

	if(ind == n - 1)

		return arr[ind][act];

	ll i;

	ll res = -1;

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

		if(i == act)

			continue;

		res = max(res,arr[ind][act] + func(ind + 1,i));

	}

	return dp[ind][act] = res;

}

int main()

{	ios_base::sync_with_stdio(false);

	cin.tie(NULL);

	cout.tie(NULL);

	cin >> n;

	ll i,j;

	arr.assign(n,vector<ll>(3,0));

	dp.assign(n,vector<ll>(3,-1));

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

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

			cin >> arr[i][j];

	}

	ll res = -1;

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

		res = max(res,func(0,i));

	}

	cout << res;

	return 0;

}