DSA · Theory

Knapsack Problem

Theory

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Knapsack Problem

Knapsack Problem is a DSA topic. In plain words you use it for a short Knapsack Problem example in a short dry-run on paper. Don’t start with a slogan — start with that picture.

Smallest example: the smallest Knapsack Problem example you can type. Type it, run it, and say what you see. If you can do that from memory, you know Knapsack Problem.

From the example next to this theory — Knapsack Problem — dP stores subproblem answers so you never recompute them.

Trap — only saying “Knapsack Problem” with no example. Fix that before you talk about advanced DSA.

Viva — what is Knapsack Problem? Then show the smallest Knapsack Problem example you can type. Then name the trap.

Exam tip

What is Knapsack Problem? Show this: the smallest Knapsack Problem example you can type. Trap: only saying “Knapsack Problem” with no example.

Example

def fib(n):
    dp = [0, 1] + [0] * max(0, n - 1)
    for i in range(2, n + 1):
        dp[i] = dp[i - 1] + dp[i - 2]
    return dp[n]

print(fib(10))

Knapsack Problem — dP stores subproblem answers so you never recompute them.

Short notes

DefKnapsack Problem — a short Knapsack Problem example in a short dry-run on paper.
Rulethe smallest Knapsack Problem example you can type
Traponly saying “Knapsack Problem” with no example
Usea short dry-run on paper

DSA · Theory

Knapsack Problem

← All stacks

Theory

456/810

Knapsack Problem

Knapsack Problem is a DSA topic. In plain words you use it for a short Knapsack Problem example in a short dry-run on paper. Don’t start with a slogan — start with that picture.

Smallest example: the smallest Knapsack Problem example you can type. Type it, run it, and say what you see. If you can do that from memory, you know Knapsack Problem.

From the example next to this theory — Knapsack Problem — dP stores subproblem answers so you never recompute them.

Trap — only saying “Knapsack Problem” with no example. Fix that before you talk about advanced DSA.

Viva — what is Knapsack Problem? Then show the smallest Knapsack Problem example you can type. Then name the trap.

Exam tip

What is Knapsack Problem? Show this: the smallest Knapsack Problem example you can type. Trap: only saying “Knapsack Problem” with no example.

Example

def fib(n):
    dp = [0, 1] + [0] * max(0, n - 1)
    for i in range(2, n + 1):
        dp[i] = dp[i - 1] + dp[i - 2]
    return dp[n]

print(fib(10))

Knapsack Problem — dP stores subproblem answers so you never recompute them.

Short notes

DefKnapsack Problem — a short Knapsack Problem example in a short dry-run on paper.
Rulethe smallest Knapsack Problem example you can type
Traponly saying “Knapsack Problem” with no example
Usea short dry-run on paper

Knapsack Problem

Example

Short notes

Questions

Knapsack Problem

Example

Short notes

Questions