Problem:
Score : 800 points

Problem Statement

You are given an integer sequence x of length N.
Determine if there exists an integer sequence a that satisfies all of the following conditions, and if it exists, construct an instance of a.

a is N^2 in length, containing N copies of each of the integers 1, 2, ..., N.

For each 1 ≤ i ≤ N, the i-th occurrence of the integer i from the left in a is the x_i-th element of a from the left.

Constraints

1 ≤ N ≤ 500

1 ≤ x_i ≤ N^2

All x_i are distinct.

Input

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

N
x_1 x_2 ... x_N

Output

If there does not exist an integer sequence a that satisfies all the conditions, print No.
If there does exist such an sequence a, print Yes in the first line, then print an instance of a in the second line, with spaces inbetween.

Sample Input 1

3
1 5 9

Sample Output 1

Yes
1 1 1 2 2 2 3 3 3

For example, the second occurrence of the integer 2 from the left in a in the output is the fifth element of a from the left.
Similarly, the condition is satisfied for the integers 1 and 3.

Sample Input 2

2
4 1

Sample Output 2

No

Solution in Python (3.4.3) (judge verdict: Wrong Answer)

# coding: utf-8
# Here your code !
import numpy as np

N = int(input())
x = [int(i) for i in input().split()]

a = np.tile(1, N)
for i in range(2, N+1):
    a = np.append(a, np.tile(i, N))

cnt = 0
flag = True
for n in a:
    if cnt == (n-1) and not(n == a[x[cnt]-1]):
        flag = False
    cnt = (cnt+1) % N

if flag:
    print("Yes")
    print(" ".join([str(i) for i in list(a)]))
else:
    print("No")