Problem:
Score : 400 points

Problem Statement

Find the largest integer that can be formed with exactly N matchsticks, under the following conditions:

Every digit in the integer must be one of the digits A_1, A_2, ..., A_M (1 \leq A_i \leq 9).

The number of matchsticks used to form digits 1, 2, 3, 4, 5, 6, 7, 8, 9 should be 2, 5, 5, 4, 5, 6, 3, 7, 6, respectively.

Constraints

All values in input are integers.

2 \leq N \leq 10^4

1 \leq M \leq 9

1 \leq A_i \leq 9

A_i are all different.

There exists an integer that can be formed by exactly N matchsticks under the conditions.

Input

Input is given from Standard Input in the following format:

N M
A_1 A_2 ... A_M

Output

Print the largest integer that can be formed with exactly N matchsticks under the conditions in the problem statement.

Sample Input 1

20 4
3 7 8 4

Sample Output 1

777773

The integer 777773 can be formed with 3 + 3 + 3 + 3 + 3 + 5 = 20 matchsticks, and this is the largest integer that can be formed by 20 matchsticks under the conditions.

Sample Input 2

101 9
9 8 7 6 5 4 3 2 1

Sample Output 2

71111111111111111111111111111111111111111111111111

The output may not fit into a 64-bit integer type.

Sample Input 3

15 3
5 4 6

Sample Output 3

654

Solution in PyPy3 (2.4.0) (judge verdict: Runtime Error)

a,b = map(int,input().split())
k = [2,5,5,4,5,6,3,7,6]
c = list(map(int,input().split()))
cc = [[0,0] for i in range(b)]
ccc = [[0,0] for i in range(b)]
c.sort(reverse = True)
for i in range(b):
	cc[i] = [c[i],k[c[i]-1]]
	ccc[i]= [c[i],k[c[i]-1]]

cc.sort(key = lambda x:x[1])
ccc.sort(reverse = True)
p = a // cc[0][1]
q = a % cc[0][1]
co = [cc[0][0] for i in range(p)]
for i in range(p):
	for j in range(b):
		if ccc[j][0] > cc[0][0] and q >= ccc[j][1] - cc[0][1]:
			co[i] = ccc[j][0]
			q -= ccc[j][1] - cc[0][1]
			break
	if q == 0:
		break

for i in range(p):
	for j in range(b):
		if q >= cc[j][1] - k[co[-(i+1)]-1] and cc[j][1] > k[co[-(i+1)]-1]:
			q -= cc[j][1] - k[co[-(i+1)]-1]
			co[-(i+1)] = cc[j][0]
	if q == 0:
		break
if q != 0:
	for m in range(a):
		if c[0][1] != c[m][1]:
			p = a // cc[m][1]
			q = a % cc[m][1]
			co = [cc[m][0] for j in range(p)]
			for i in range(p):
				for j in range(b):
					if ccc[j][0] > cc[0][0] and q >= ccc[j][1] - cc[0][1]:
						co[i] = ccc[j][0]
						q -= ccc[j][1] - cc[0][1]
					break
				if q == 0:
					break

			for i in range(p):
				for j in range(b):
					if q >= cc[j][1] - k[co[-(i+1)]-1] and cc[j][1] > k[co[-(i+1)]-1]:
						q -= cc[j][1] - k[co[-(i+1)]-1]
						co[-(i+1)] = cc[j][0]
				if q == 0:
					break

			break


co.sort(reverse = True)

co = map(str,co)
aaa = ''.join(co)
print(aaa)