Question

In a 0/1 Knapsack problem implemented using dynamic

programming, a common mistake is to allow items to be reused, effectively turning it into an unbounded knapsack. Which part of the recurrence relation, if incorrectly formulated, would lead to this bug?

A dp[i][j] = max(dp[i-1][j], dp[i-1][j - weights[i]] + values[i])

B dp[i][j] = max(dp[i-1][j], dp[i][j - weights[i]] + values[i])

C dp[i][j] = dp[i-1][j]

D dp[i][j] = dp[i][j - weights[i]] + values[i]

E dp[i][j] = values[i]

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In a 0/1 Knapsack problem implemented using dynamic

Solution