{
    "q1": {
        "type": "multiple", 
        "question": "\n<strong>\n\nRegarding dynamic programming, which of the following statements is true\n(select all that apply?)\n\n</strong>\n", 
        "responses": {
            "count": "Dynamic programming can be used to calculate the total number of possible solutions.", 
            "optimal": "Dynamic programming is useful in finding an optimal solution.", 
            "technique": "Dynamic programming combines the correctness of complete search and the efficiency of greedy algorithms.", 
            "memoization": "Dynamic programming utilizes memoization.", 
            "overlapping": "Dynamic programming is utilized when the problem can be divided into independent overlapping subproblems."
        }
    }, 
    "q3": {
        "type": "blank", 
        "question": "<strong>\n\nImplement a solution to the coins problem (denominations 1, 3, 4) using\ndynamic programming and determine what is the minimum number of coins\nnecessary to form the following sums:\n\n</strong>\n\n<pre>\n1. 17 = ____\n2. 33 = ____\n3. 64 = ____\n4. 71 = ____\n5. 99 = ____\n</pre>\n"
    }, 
    "q2": {
        "type": "blank", 
        "question": "<strong>\n\nMemoization is a technique that ____ values in a container such as an ____\nafter ____ them.  For each parameter in a ____ function, the value of the\nfunction is calculated ____, and after this, the value can be directly\nretrieved from the container.\n\n</strong>\n"
    }
}