Problem:
Score : 600 points

Problem Statement

A tetromino is a figure formed by joining four squares edge to edge.
We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively:

Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively.
Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide.
Here, the following rules must be followed:

When placing each tetromino, rotation is allowed, but reflection is not.

Each square in the rectangle must be covered by exactly one tetromino.

No part of each tetromino may be outside the rectangle.

Snuke wants to form as large a rectangle as possible.
Find the maximum possible value of K.

Constraints

0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9

a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1

Input

The input is given from Standard Input in the following format:

a_I a_O a_T a_J a_L a_S a_Z

Output

Print the maximum possible value of K. If no rectangle can be formed, print 0.

Sample Input 1

2 1 1 0 0 0 0

Sample Output 1

3

One possible way to form the largest rectangle is shown in the following figure:

Sample Input 2

0 0 10 0 0 0 0

Sample Output 2

0

No rectangle can be formed.

Solution in C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

// Nurbakyt Madibek
// Look at my code! IT'S AWESOME

#include <iostream>
#include <iomanip>
#include <cstdlib>
#include <algorithm>
#include <fstream>
#include <cstdio>
#include <cmath>
#include <cstring>
#include <string>
#include <ctime>
#include <queue>
#include <stack>
#include <vector>
#include <map>
#include <set>
#include <deque>
#include <cassert>
#include <unordered_map>
#include <bitset>
#include <unordered_set>

using namespace std;

#define pb push_back
#define pp pop_back
#define f first
#define s second
#define mp make_pair
#define sz(a) (int)((a).size())
#ifdef _WIN32
#  define I64 "%I64d"
#else
#  define I64 "%lld"
#endif
#define fname "."

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair < int, int > pi;
typedef pair < int, ull > pu;
typedef pair < ll, ll > pl;

const int inf = (int)1e9 + 123;
const ll infl = (ll)1e18 + 123;
const double eps = 1e-9;

const int MAX_N = (int)1e5 + 5;
const int mod = (int)1e9 + 7;

int a[10];

int main() {
#ifdef DEBUG
    freopen("input.txt", "r", stdin);
#endif
    for (int i = 0; i < 7; i++)
        cin >> a[i];
    int res = a[1] + a[0] / 2 * 2 + a[3] / 2 * 2 + a[4] / 2 * 2;
    
    a[0] %= 1, a[3] %= 2, a[4] %= 2;
    
    res += min(a[0], min(a[3], a[4])) * 3;
    
    cout << res << endl;
    return 0;
}