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)

#include <algorithm>
#include <cassert>
#include <deque>
#include <fstream>
#include <iostream>
#include <map>
#include <math.h>
#include <memory>
#include <queue>
#include <sstream>
#include <stdio.h>
#include <string>
#include <vector>

#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define REP(i, n) FOR(i, 0, n)
#define POW(n) ((n) * (n))
#define ALL(a) (a).begin(), (a).end()
#define cerr                                                                   \
  if (false)                                                                   \
  cerr

using namespace std;

typedef long long ll;
typedef unsigned long long ull;

typedef vector<int> vi;
typedef vector<double> vd;
typedef vector<string> vs;
typedef vector<unsigned long long> vull;

void solve(long long a_I, long long a_O, long long a_T, long long a_J,
           long long a_L, long long a_S, long long a_Z) {
  ll ans = 0;
  if (a_I)
    ans += a_I / 2 * 4;
  if (a_O)
    ans += a_O * 2;
  if (a_J)
    ans += a_J / 2 * 4;
  if (a_L)
    ans += a_L / 2 * 4;

  a_I = a_I % 2;
  a_J = a_J % 2;
  a_L = a_L % 2;
  ll mi = min(a_L, min(a_I, a_J));
  ans += mi * 8;

  cout << (ans / 2) << endl;
}

int main() {
  ios::sync_with_stdio(false);
  long long a_Z;
  long long a_S;
  long long a_T;
  long long a_I;
  long long a_L;
  long long a_O;
  long long a_J;
  cin >> a_I;
  cin >> a_O;
  cin >> a_T;
  cin >> a_J;
  cin >> a_L;
  cin >> a_S;
  cin >> a_Z;
  solve(a_I, a_O, a_T, a_J, a_L, a_S, a_Z);
  return 0;
}