p02775 AtCoder Beginner Contest 155 - Payment
In the Kingdom of AtCoder, only banknotes are used as currency. There are 10^{100}+1 kinds of banknotes, with the values of 1, 10, 10^2, 10^3, \dots, 10^{(10^{100})}. You have come shopping at a mall and are now buying a takoyaki machine with a value of N. (Takoyaki is the name of a Japanese snack.)

To make the payment, you will choose some amount of money which is at least N and give it to the clerk. Then, the clerk gives you back the change, which is the amount of money you give minus N.

What will be the minimum possible number of total banknotes used by you and the clerk, when both choose the combination of banknotes to minimize this count?

Assume that you have sufficient numbers of banknotes, and so does the clerk.

Constraints

* N is an integer between 1 and 10^{1,000,000} (inclusive).

Input

Input is given from Standard Input in the following format:


N


Output

Print the minimum possible number of total banknotes used by you and the clerk.

Examples

Input

36


Output

8


Input

91


Output

3


Input

314159265358979323846264338327950288419716939937551058209749445923078164062862089986280348253421170


Output

243
```python
dp = [0, 2]
for d in map(int, reversed(input())):
    dp = [min(d + dp[0], d + 1 + dp[1]), min(10 - d + dp[0], 9 - d + dp[1])]

print(min(dp[0], 1 + dp[1]))

```