add parallel width estimate

scheduler/main.py

+#!/usr/bin/env python3
+from typing import List
+from parser import parse_tasks, parse_machine_prices
+from preprocessing import *
+
+def main():
+    tasks = parse_tasks()
+    parallel_width_estimate = parallel_width_assuming_mapreduce(tasks)
+    # print(parallel_width_estimate)
+
+if __name__ == "__main__":
+    main()

scheduler/preprocessing.py

 #!/usr/bin/env python3
+from typing import List
 from taskgraph import *
+
+
+def parallel_width_assuming_mapreduce(taskgraph: List[Task]) -> int:
+    max_width = 1
+    current_width = 0
+    current_predecessors = None
+    for task in taskgraph:
+        # check for one row in the graph
+        if task.inDegree == 1 and (current_predecessors == None or
+                                   current_predecessors == task.predecessors):
+            current_width += 1
+            current_predecessors = task.predecessors
+
+        else:
+            current_predecessors = None
+            current_width = 0
+
+        max_width = max(current_width, max_width)
+
+    return max_width
+
+
+def best_performance_under_limit(taskgraph: List[Task], prices: List[float],
+                                 limit: float) -> List[float]:
+    pass