From 4be404be4cce16ee52a83ef3085345a37fbe832e Mon Sep 17 00:00:00 2001 From: Ziyang Hu Date: Thu, 1 Dec 2022 15:43:57 +0800 Subject: [PATCH] Don't use images for example anymore --- README.md | 69 ++++++++++++++++++++++++++++++--- static/1_direct_reachable.png | Bin 25388 -> 0 bytes static/2_one_hop_reachable.png | Bin 33298 -> 0 bytes static/3_all_rechable.png | Bin 44648 -> 0 bytes static/4_most_hops.png | Bin 98686 -> 0 bytes static/5_algo.png | Bin 54901 -> 0 bytes static/6_err_msg.png | Bin 93459 -> 0 bytes static/release_process.md | 6 --- 8 files changed, 63 insertions(+), 12 deletions(-) delete mode 100644 static/1_direct_reachable.png delete mode 100644 static/2_one_hop_reachable.png delete mode 100644 static/3_all_rechable.png delete mode 100644 static/4_most_hops.png delete mode 100644 static/5_algo.png delete mode 100644 static/6_err_msg.png delete mode 100644 static/release_process.md diff --git a/README.md b/README.md index 9f570fcd..9f2eb47e 100644 --- a/README.md +++ b/README.md @@ -37,29 +37,86 @@ and `FRA` is the code for Frankfurt Airport. How many airports are directly connected to `FRA`? -directly connected +``` +?[count_unique(to)] := *route{fr: 'FRA', to} +``` + +| count_unique(to) | +|------------------| +| 310 | + How many airports are reachable from `FRA` by one stop? -one stop +``` +?[count_unique(to)] := *route{fr: 'FRA', to: 'stop}, + *route{fr: stop, to} +``` + +| count_unique(to) | +|------------------| +| 2222 | How many airports are reachable from `FRA` by any number of stops? -recursion +| count_unique(to) | +|------------------| +| 3462 | What are the two most difficult to reach airports by the minimum number of hops required, starting from `FRA`? -shortest routes +``` +reachable[to] := *route{fr: 'FRA', to} +reachable[to] := reachable[stop], *route{fr: stop, to} +?[count_unique(to)] := reachable[to] +``` + +``` +shortest_paths[to, shortest(path)] := *route{fr: 'FRA', to}, + path = ['FRA', to] +shortest_paths[to, shortest(path)] := shortest_paths[stop, prev_path], + *route{fr: stop, to}, + path = append(prev_path, to) +?[to, path, p_len] := shortest_paths[to, path], p_len = length(path) + +:order -p_len +:limit 2 +``` + +| to | path | p_len | +|-----|---------------------------------------------------|-------| +| YPO | ['FRA','YYZ','YTS','YMO','YFA','ZKE','YAT','YPO'] | 8 | +| BVI | ['FRA','AUH','BNE','ISA',"BQL','BEU','BVI'] | 7 | What is the shortest path between `FRA` and `YPO`, by actual distance travelled? -algorithm +``` +start[] <- [['FRA']] +end[] <- [['YPO]] +?[src, dst, distance, path] <~ ShortestPathDijkstra(*route[], start[], end[]) +``` + +| src | dst | distance | path | +|-----|-----|----------|--------------------------------------------------------| +| FRA | YPO | 4544.0 | ['FRA','YUL','YVO','YKQ','YMO','YFA','ZKE','YAT','YPO'] | Cozo attempts to provide nice error messages when you make mistakes: -error message +``` +?[x, Y] := x = 1, y = x + 1 +``` + +
eval::unbound_symb_in_head
+
+  × Symbol 'Y' in rule head is unbound
+   ╭────
+ 1 │ ?[x, Y] := x = 1, y = x + 1
+   · 
+   ╰────
+  help: Note that symbols occurring only in negated positions are not considered bound
+
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