Visualize 0/1 Knapsack Online
The 0/1 knapsack DP table animated cell by cell: skip-or-take decisions with the exact cells each value reads from, ending at the optimal bottom-right answer. Use 0/1 Knapsack Visualizer in your browser with no signup, no daily limit, and no backend processing for tool input.
Problem
You need a quick visual read on structured data before building a dashboard, report, or notebook.
What to do
A quick chart can reveal patterns, outliers, and missing values faster than scanning rows by hand.
- 1Load the data into 0/1 Knapsack Visualizer.
- 2Choose columns, grouping, and chart options.
- 3Export the chart or continue refining the dataset.
Use the browser tool
0/1 Knapsack Visualizer fills the dynamic-programming table one cell at a time, and for each cell it shows the two candidates it is choosing between: skip this item and inherit the value above, or take it and add its value to the best solution for the remaining capacity. The arrows to the exact cells being read are the part that makes DP click — the recurrence stops being a formula and becomes two specific cells you can point at.
People also ask
- Why can't I just take the best value-per-weight items first?
- That greedy strategy is optimal for fractional knapsack, where you can take part of an item. In 0/1 an item is all or nothing, and greedy can fill the bag with a good item that blocks a better combination.
- How do I know which items were chosen?
- Start at the bottom-right cell and walk up. If a cell's value equals the one directly above it, that item was skipped; if not, it was taken — subtract its weight and continue from that row and column.
- What is the complexity?
- O(n × W) time and space for n items and capacity W. That is pseudo-polynomial: it scales with the numeric value of the capacity, not with the number of bits used to write it down.