Problem:
Score : 400 points

Problem Statement

Snuke has a large collection of cards. Each card has an integer between 1 and N, inclusive, written on it.
He has A_i cards with an integer i.

Two cards can form a pair if the absolute value of the difference of the integers written on them is at most 1.

Snuke wants to create the maximum number of pairs from his cards, on the condition that no card should be used in multiple pairs. Find the maximum number of pairs that he can create.

Constraints

1 ≦ N ≦ 10^5

0 ≦ A_i ≦ 10^9 (1 ≦ i ≦ N)

All input values are integers.

Input

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

N
A_1
:
A_N

Output

Print the maximum number of pairs that Snuke can create.

Sample Input 1

4
4
0
3
2

Sample Output 1

4

For example, Snuke can create the following four pairs: (1,1),(1,1),(3,4),(3,4).

Sample Input 2

8
2
0
1
6
0
8
2
1

Sample Output 2

9

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

#include<iostream>
#include<algorithm>
#include<string>
#include<map>
#include<vector>
#include<set>
#include<iomanip>
#include<cmath>
using namespace std;
typedef long long ll;
typedef long long int llint;
typedef pair<ll, ll> pa;
#define MM 1000000000
#define MOD MM+7
#define MAX 101000
#define MAP 110
#define initial_value -1
#define MAX_T 1001
#define Pair pair<int,int>
#define chmax(a,b) (a<b ? a=b:0)
#define chmin(a,b) (a>b ? a=b:0)
#define INF (1 << 29) //536870912
const long double PI = acos(-1);
const ll DEP = 1e18;
int dx[4] = {-1,0,1,0};
int dy[4] = {0,-1,0,1};
int main(){
    int N; cin >> N;
    ll a[100001];
    ll ans = 0;
    for(int i = 0; i < N; i++){
        cin >> a[i];
    }
    for(int i = 0; i < N; i++){
        ans += (a[i]/2);
        a[i] = a[i] % 2;
        if(a[i] == 1 && i < N-1 && a[i+1] > 0){
            ans++;
            a[i+1]--;
        }
    }
    cout << ans << endl;
}