ruthheasmanvia treechat·1.5y
❤️ 3 Likes · ⚡ 0 Tips
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⬇️
ruthheasmanvia treechat·1.5y
❤️ 0 Likes · ⚡ 0 Tips
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  "map_content": "2. **Visit Neighboring Nodes:** For the current node, consider all of its unvisited neighbors and calculate their tentative distances through the current node. Compare the newly calculated tentative distance with the current assigned value and assign the smaller one.",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!

Replies (39)

metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
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  "map_content": "---",
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  "display_name": "metamitya",
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  "ref_ui_name": "unknown",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
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  "app": "treechat",
  "type": "reply",
  "map_content": "Tentative distances are a key concept in algorithms like Dijkstra's algorithm, which is used to find the shortest path from a starting node to all other nodes in a weighted graph. The term \"tentative distance\" refers to the current known shortest distance from the starting node to a particular node, which may be updated as the algorithm proceeds.",
  "media_type": "text/markdown",
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  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
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  "parent_txid": "be18a8f6916710bdec393be19653fea7e921dabc39a32ae323c66699fda7a9f0",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
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  "app": "treechat",
  "type": "reply",
  "map_content": "- **D_current (A):** 0\n     - **W_edge (A \u2192 C):** 2\n     - **New Tentative Distance to C:** 0 + 2 = 2\n     - **Previous Tentative Distance to C:** \u221e\n     - **Update:** Since 2 < \u221e, update tentative distance to C as 2.",
  "media_type": "text/markdown",
  "filename": "|",
  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
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  "app": "treechat",
  "type": "reply",
  "map_content": "- **Tentative Distance Calculation:**",
  "media_type": "text/markdown",
  "filename": "|",
  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
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  "time": null,
  "app": "treechat",
  "type": "reply",
  "map_content": "- **Direct Path:** The previously known tentative distance to the neighbor.\n- **New Path via Current Node:** The sum of the distance you've already traveled to reach the current node and the edge to the neighbor.",
  "media_type": "text/markdown",
  "filename": "|",
  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
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  "ref_ui_name": "unknown",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
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  "app": "treechat",
  "type": "reply",
  "map_content": "### **Key Points:**",
  "media_type": "text/markdown",
  "filename": "|",
  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
  "channel": null,
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  "ui_display_raw": "metamitya",
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  "ref_ui_name": "unknown",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
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  "time": null,
  "app": "treechat",
  "type": "reply",
  "map_content": "- **Neighbors of C:** B",
  "media_type": "text/markdown",
  "filename": "|",
  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
  "channel": null,
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  "ui_display_raw": "metamitya",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
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  "block_height": 0,
  "time": null,
  "app": "treechat",
  "type": "reply",
  "map_content": "- No unvisited neighbors to update.",
  "media_type": "text/markdown",
  "filename": "|",
  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
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  "ui_handle": "metamitya",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
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  "block_height": 0,
  "time": null,
  "app": "treechat",
  "type": "reply",
  "map_content": "**Calculating Tentative Distances to Neighbors:**",
  "media_type": "text/markdown",
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  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
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  "app": "treechat",
  "type": "reply",
  "map_content": "- **Why It Works:**",
  "media_type": "text/markdown",
  "filename": "|",
  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
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  "app": "treechat",
  "type": "reply",
  "map_content": "Here's how tentative distances are calculated:",
  "media_type": "text/markdown",
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  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
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  "block_height": 0,
  "time": null,
  "app": "treechat",
  "type": "reply",
  "map_content": "- If the new calculated tentative distance is **smaller** than the previously recorded tentative distance for that neighbor, **update** it.\n  - This ensures that the algorithm always has the shortest known distance from the starting node to each node at every step.",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
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  "type": "reply",
  "map_content": "Tentative distances are calculated by considering the shortest distance to the current node and adding the edge weight to each neighbor. This method allows the algorithm to explore all possible paths efficiently while always keeping track of the shortest paths discovered so far.",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
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  "app": "treechat",
  "type": "reply",
  "map_content": "- **Purpose:**",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
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  "map_content": "- By always selecting the unvisited node with the smallest tentative distance as the current node, the algorithm incrementally builds the shortest paths.",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
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  "app": "treechat",
  "type": "reply",
  "map_content": "- Tentative distances:\n     - **A:** 0 (starting node)\n     - **B:** \u221e\n     - **C:** \u221e",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
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  "app": "treechat",
  "type": "reply",
  "map_content": "- **A:** 0 (visited)\n     - **B:** 4\n     - **C:** 2",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
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  "type": "reply",
  "map_content": "- \"Is going through the current node a **shorter route** to the neighbor than any route I already know?\"",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
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  "app": "treechat",
  "type": "reply",
  "map_content": "- **D_current (C):** 2\n     - **W_edge (C \u2192 B):** 5\n     - **New Tentative Distance to B:** 2 + 5 = 7\n     - **Previous Tentative Distance to B:** 4\n     - **Update:** Since 7 > 4, do not update tentative distance to B.",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
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  "block_height": 0,
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  "type": "reply",
  "map_content": "how are tentative distances calculated",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
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  "app": "treechat",
  "type": "reply",
  "map_content": "#### **Graph Structure:**",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
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  "block_height": 0,
  "time": null,
  "app": "treechat",
  "type": "reply",
  "map_content": "- **All nodes have been visited.**",
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  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
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  "app": "treechat",
  "type": "reply",
  "map_content": "- This calculation helps determine if there's a shorter path to the neighbor node through the current node.",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
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  "app": "treechat",
  "type": "reply",
  "map_content": "### **Visualization:**",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
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  "block_height": 0,
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  "app": "treechat",
  "type": "reply",
  "map_content": "- **Neighbor B:**",
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  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
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  "app": "treechat",
  "type": "reply",
  "map_content": "For each unvisited neighbor of the current node:",
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  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
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  "type": "reply",
  "map_content": "### **Conclusion:**",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
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  "type": "reply",
  "map_content": "3. **Second Iteration (Current Node: C):**",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
  "txid": "24b6bcd9212fb4bfe430aee3bf99381b748abc3bc88d1806e81206a702e66542",
  "block_height": 0,
  "time": null,
  "app": "treechat",
  "type": "reply",
  "map_content": "- **D_current (A):** 0\n     - **W_edge (A \u2192 B):** 4\n     - **New Tentative Distance to B:** 0 + 4 = 4\n     - **Previous Tentative Distance to B:** \u221e\n     - **Update:** Since 4 < \u221e, update tentative distance to B as 4.",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
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  "block_height": 0,
  "time": null,
  "app": "treechat",
  "type": "reply",
  "map_content": "- **Updated Tentative Distances:**",
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  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
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  "time": null,
  "app": "treechat",
  "type": "reply",
  "map_content": "- **Retrieve Current Tentative Distance:**\n     - Get the tentative distance to the **current node** (let's denote this as **D_current**).\n   - **Edge Weight:**\n     - Determine the **weight of the edge** from the current node to the neighbor node (denote this as **W_edge**).\n   - **Calculate New Tentative Distance:**\n     - **New Tentative Distance = D_current + W_edge**\n     - This represents the distance from the starting node to the neighbor node **via the current node**.\n   - **Compare and Update:**\n     - If the **new tentative distance** is **less than** the neighbor node's previously recorded tentative distance, update it with the new, smaller value.",
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  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
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  "block_height": 0,
  "time": null,
  "app": "treechat",
  "type": "reply",
  "map_content": "2. **First Iteration (Current Node: A):**",
  "media_type": "text/markdown",
  "filename": "|",
  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
  "channel": null,
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  "ui_name": "metamitya",
  "ui_display_name": "metamitya",
  "ui_handle": "metamitya",
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  "ref_ui_name": "unknown",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
  "txid": "7544cc34ce4c725b9dc11fcd69994d445f407ab14ae1fdb4924c92961a94af85",
  "block_height": 0,
  "time": null,
  "app": "treechat",
  "type": "reply",
  "map_content": "Imagine standing at the current node and looking at paths to its neighbors:",
  "media_type": "text/markdown",
  "filename": "|",
  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
  "channel": null,
  "parent_txid": "be18a8f6916710bdec393be19653fea7e921dabc39a32ae323c66699fda7a9f0",
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  "timestamp": "2024-10-29T01:25:06.000Z",
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  "aip_verified": true,
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  "ui_name": "metamitya",
  "ui_display_name": "metamitya",
  "ui_handle": "metamitya",
  "ui_display_raw": "metamitya",
  "ui_signer": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "ref_ui_name": "unknown",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
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  "block_height": 0,
  "time": null,
  "app": "treechat",
  "type": "reply",
  "map_content": "### **Example:**",
  "media_type": "text/markdown",
  "filename": "|",
  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
  "channel": null,
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  "ref_ui_name": "unknown",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
  "txid": "59649612a5b0abd6ef9e04d7fe90b8a663c9af0b580249ce6ca86056d37346e9",
  "block_height": 0,
  "time": null,
  "app": "treechat",
  "type": "reply",
  "map_content": "1. **Initialization:**",
  "media_type": "text/markdown",
  "filename": "|",
  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
  "channel": null,
  "parent_txid": "be18a8f6916710bdec393be19653fea7e921dabc39a32ae323c66699fda7a9f0",
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  "ui_signer": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "ref_ui_name": "unknown",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
  "txid": "65e61187a173f4fab5ca65b3355c9f8b9ee324a20dd7dc39223b1a547574d9b1",
  "block_height": 0,
  "time": null,
  "app": "treechat",
  "type": "reply",
  "map_content": "\\[\n  \\text{Tentative Distance to Neighbor} = \\text{Tentative Distance to Current Node} + \\text{Weight of Edge to Neighbor}\n  \\]",
  "media_type": "text/markdown",
  "filename": "|",
  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
  "channel": null,
  "parent_txid": "be18a8f6916710bdec393be19653fea7e921dabc39a32ae323c66699fda7a9f0",
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  "aip_verified": true,
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  "ui_name": "metamitya",
  "ui_display_name": "metamitya",
  "ui_handle": "metamitya",
  "ui_display_raw": "metamitya",
  "ui_signer": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "ref_ui_name": "unknown",
  "ref_ui_signer": "unknown"
}
Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
  "txid": "a9d57edda1d85a7689ec4f84a4820edbe4bb0c3e1e790776598f3d6321100ff1",
  "block_height": 0,
  "time": null,
  "app": "treechat",
  "type": "reply",
  "map_content": "1. **Initialization:**",
  "media_type": "text/markdown",
  "filename": "|",
  "author": "14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGK",
  "display_name": "metamitya",
  "channel": null,
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  "ref_ui_name": "unknown",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!
metamityavia treechat·1.5y
Replying to #be18a8f6
❤️ 0 Likes · ⚡ 0 Tips
{
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  "block_height": 0,
  "time": null,
  "app": "treechat",
  "type": "reply",
  "map_content": "#### **Algorithm Steps:**",
  "media_type": "text/markdown",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!