Addition and Multiplication 2

AtCoder

IDabc257_e

Time2000ms

Memory256MB

Difficulty—

Takahashi has an integer $x$. Initially, $x=0$. Takahashi may do the following operation any number of times. * Choose an integer $i\ (1\leq i \leq 9)$. Pay $C_i$ yen (the currency in Japan) to replace $x$ with $10x + i$. Takahashi has a budget of $N$ yen. Find the maximum possible value of the final $x$ resulting from operations without exceeding the budget. ## Constraints * $1 \leq N \leq 10^6$ * $1 \leq C_i \leq N$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $N$ $C_1$ $C_2$ $\ldots$ $C_9$ [samples]

Samples

Input #1

5
5 4 3 3 2 5 3 5 3

Output #1

95

For example, the operations where $i = 9$ and $i=5$ in this order change $x$ as:
$0 \rightarrow 9 \rightarrow 95$.
The amount of money required for these operations is $C_9 + C_5 = 3 + 2 = 5$ yen, which does not exceed the budget. Since we can prove that we cannot make an integer greater than or equal to $96$ without exceeding the budget, the answer is $95$.

Input #2

20
1 1 1 1 1 1 1 1 1

Output #2

99999999999999999999

Note that the answer may not fit into a $64$\-bit integer type.

API Response (JSON)

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    "name": "Addition and Multiplication 2",
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      "content": "Takahashi has an integer $x$. Initially, $x=0$. Takahashi may do the following operation any number of times. *   Choose an integer $i\\ (1\\leq i \\leq 9)$. Pay $C_i$ yen (the currency in Japan) to rep",
      "description_type": "Markdown"
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    "platform": "AtCoder",
    "limit": {
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      "memory_limit": 262144
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    "difficulty": "None",
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      "statement_type": "Markdown",
      "content": "Takahashi has an integer $x$. Initially, $x=0$.\nTakahashi may do the following operation any number of times.\n\n*   Choose an integer $i\\ (1\\leq i \\leq 9)$. Pay $C_i$ yen (the currency in Japan) to rep...",
      "is_translate": false,
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