Initial data commit

Task/Floyd-Warshall-algorithm/Jq/floyd-warshall-algorithm-1.jq

@@ -0,0 +1,6 @@
+def weights: {
+  "1": {"3": -2},
+  "2": {"1" : 4, "3": 3},
+  "3": {"4": 2},
+  "4": {"2": -1}
+};

Task/Floyd-Warshall-algorithm/Jq/floyd-warshall-algorithm-2.jq

@@ -0,0 +1,21 @@
+def fwi:
+  . as $weights
+  | keys_unsorted as $nodes
+  # construct the dist matrix
+  | reduce $nodes[] as $u ({};
+      reduce $nodes[] as $v (.;
+        .[$u][$v] = infinite))
+  | reduce $nodes[] as $u (.; .[$u][$u] = 0 )
+  | reduce $nodes[] as $u (.;
+      reduce ($weights[$u]|keys_unsorted[]) as $v (.;
+        .[$u][$v] = $weights[$u][$v] ))
+  | reduce $nodes[] as $w (.;
+      reduce $nodes[] as $u (.;
+        reduce $nodes[] as $v (.;
+      (.[$u][$w] + .[$w][$v]) as $x
+      | if .[$u][$v] > $x then .[$u][$v] = $x
+        else . end )))
+;
+
+
+weights | fwi