Ice Tea Store

AtCoder

IDagc019_a

Time2000ms

Memory256MB

Difficulty—

You've come to your favorite store Infinitesco to buy some ice tea. The store sells ice tea in bottles of different volumes at different costs. Specifically, a $0.25$\-liter bottle costs $Q$ yen, a $0.5$\-liter bottle costs $H$ yen, a $1$\-liter bottle costs $S$ yen, and a $2$\-liter bottle costs $D$ yen. The store has an infinite supply of bottles of each type. You want to buy exactly $N$ liters of ice tea. How many yen do you have to spend? ## Constraints * $1 \leq Q, H, S, D \leq 10^8$ * $1 \leq N \leq 10^9$ * All input values are integers. ## Input Input is given from Standard Input in the following format: $Q$ $H$ $S$ $D$ $N$ [samples]

Samples

Input #1

20 30 70 90
3

Output #1

150

Buy one $2$\-liter bottle and two $0.5$\-liter bottles. You'll get $3$ liters for $90 + 30 + 30 = 150$ yen.

Input #2

10000 1000 100 10
1

Output #2

100

Even though a $2$\-liter bottle costs just $10$ yen, you need only $1$ liter. Thus, you have to buy a $1$\-liter bottle for $100$ yen.

Input #3

10 100 1000 10000
1

Output #3

40

Now it's better to buy four $0.25$\-liter bottles for $10 + 10 + 10 + 10 = 40$ yen.

Input #4

12345678 87654321 12345678 87654321
123456789

Output #4

1524157763907942

API Response (JSON)

{
  "problem": {
    "name": "Ice Tea Store",
    "description": {
      "content": "You've come to your favorite store Infinitesco to buy some ice tea. The store sells ice tea in bottles of different volumes at different costs. Specifically, a $0.25$\\-liter bottle costs $Q$ yen, a $0",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "agc019_a"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "You've come to your favorite store Infinitesco to buy some ice tea.\nThe store sells ice tea in bottles of different volumes at different costs. Specifically, a $0.25$\\-liter bottle costs $Q$ yen, a $0...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments