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.
Tip: use samples, upload, copy, download, and send-to actions inside the workspace where available.
0/1 Knapsack Visualizer is a free, browser-based tool that helps you turn raw numbers into clear charts. 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. It's built for speed and privacy: Everything runs locally in your browser — your data is never uploaded to a server. No sign-up, no installs, and no daily limits.
Visualize the dataset after it has been cleaned enough for reliable labels and numeric values.
Review the preview, copy or download the result, and keep everything local in your browser.
Fractional Knapsack Visualizer: Greedy by value density animated: take the densest items whole, split the last one — and see exactly why splitting is what makes greedy optimal here.
Open toolCoin Change Visualizer: Fewest-coins DP animated — including the classic case where greedy fails (coins 1, 4, 5 for amount 8) and the table finds 4+4 instead.
Open toolLCS Visualizer: Longest Common Subsequence DP table animated: diagonal extensions on matches, max-of-neighbors otherwise, then the traceback that spells out the LCS.
Open tool| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |
|---|---|---|---|---|---|---|---|---|---|
| ∅ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| #1 w1 $3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| #2 w2 $1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| #3 w4 $11 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| #4 w2 $2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| #5 w4 $1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
10/1 Knapsack, capacity 8: dp[i][c] = best value using the first i items within weight c. Items: #1(w=1, $3), #2(w=2, $1), #3(w=4, $11), #4(w=2, $2), #5(w=4, $1).
dp[0][*] = 0for each item i:for capacity c = 0..W:if w[i] > c: dp[i][c] = dp[i-1][c]else: dp[i][c] = max(skip, take)answer = dp[n][W]
Take-or-leave each item within a weight budget. The take/skip max is the template for dozens of DP problems.
