Problem:
Score : 200 points

Problem Statement

We have a bingo card with a 3\times3 grid. The square at the i-th row from the top and the j-th column from the left contains the number A_{i, j}.

The MC will choose N numbers, b_1, b_2, \cdots, b_N. If our bingo sheet contains some of those numbers, we will mark them on our sheet.

Determine whether we will have a bingo when the N numbers are chosen, that is, the sheet will contain three marked numbers in a row, column, or diagonal.

Constraints

All values in input are integers.

1 \leq A_{i, j} \leq 100

A_{i_1, j_1} \neq A_{i_2, j_2} ((i_1, j_1) \neq (i_2, j_2))

1 \leq N \leq 10

1 \leq b_i \leq 100

b_i \neq b_j (i \neq j)

Input

Input is given from Standard Input in the following format:

A_{1, 1} A_{1, 2} A_{1, 3}
A_{2, 1} A_{2, 2} A_{2, 3}
A_{3, 1} A_{3, 2} A_{3, 3}
N
b_1
\vdots
b_N

Output

If we will have a bingo, print Yes; otherwise, print No.

Sample Input 1

84 97 66
79 89 11
61 59 7
7
89
7
87
79
24
84
30

Sample Output 1

Yes

We will mark A_{1, 1}, A_{2, 1}, A_{2, 2}, A_{3, 3}, and complete the diagonal from the top-left to the bottom-right.

Sample Input 2

41 7 46
26 89 2
78 92 8
5
6
45
16
57
17

Sample Output 2

No

We will mark nothing.

Sample Input 3

60 88 34
92 41 43
65 73 48
10
60
43
88
11
48
73
65
41
92
34

Sample Output 3

Yes

We will mark all the squares.

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

#include <bits/stdc++.h>
using namespace std;
#define CPP_CAT(x,y) CPP_CAT_I(x,y)
#define CPP_CAT_I(x,y) x ## y

using i8  = int8_t;
using u8  = uint8_t;
using i16 = int16_t;
using u16 = uint16_t;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
using f32 = float;
using f64 = double;
using ll = long long;
constexpr i64 INF = 1010000000000000017LL;
constexpr i64 MOD = 1000000007LL;
constexpr f64 EPS = 1e-12;
constexpr f64 PI = 3.14159265358979323846;
#define FOR(i, start, end) for(i64 i = (start), CPP_CAT(i,xxxx_end)=(end); i < CPP_CAT(i,xxxx_end); ++i)
#define REP(i, n) FOR(i, 0, n)
#define ALL(f,c,...) (([&](decltype((c)) cccc) { return (f)(std::begin(cccc), std::end(cccc), ## __VA_ARGS__); })(c))
struct ProconInit {
    static constexpr int IOS_PREC = 15;
    static constexpr bool AUTOFLUSH = false;
    ProconInit() {
        cin.tie(nullptr); ios::sync_with_stdio(false);
        cout << fixed << setprecision(IOS_PREC);
        if(AUTOFLUSH) cout << unitbuf;
    }
} PROCON_INIT;

void solve() {
    int a[3][3];
    bool res[3][3];
    FOR(i, 0, 3){
        FOR(j, 0, 3){
            cin >> a[i][j];
            res[i][j] = false;
        }
    }
    int n; cin >> n;
    vector<int> b(n); FOR(i, 0, n) cin >> b[i];

    FOR(k, 0, n) {
        FOR(i, 0, 3){
            FOR(j, 0, 3) {
                if (a[i][j] == b[k]) res[i][j] = true;
            }
        }
    }

    FOR(i, 0, 3){
        if (res[i][0] && res[i][1] && res[i][2]) {
            cout << "Yes" << endl; 
            return;
        }
        if (res[0][i] && res[1][i] && res[2][i]) {
            cout << "Yes" << endl;
            return;
        }
    }

    if (res[0][0] && res[1][1] && res[2][2]) {
        cout << "Yes" << endl;
        return;
    }
    if (res[2][0] && res[1][1] && res[0][2]) {
        cout << "Yes" << endl;
        return;
    }
    cout << "No" << endl;
}

signed main() {
    solve();
    return 0;
}