"""Draw the original six-activity DAG; write the matching PNG basename to cwd. Run from _media. Tested with Python 3.14.4 and Matplotlib 3.10.7. """ from pathlib import Path import matplotlib matplotlib.use("Agg") import matplotlib.pyplot as plt from matplotlib.lines import Line2D from matplotlib.patches import FancyArrowPatch, FancyBboxPatch def main(): durations = {"Start": 0, "A": 3, "B": 2, "C": 4, "D": 2, "E": 3, "F": 1, "Finish": 0} predecessors = {"Start": [], "A": ["Start"], "B": ["A"], "C": ["A"], "D": ["B", "C"], "E": ["Start"], "F": ["D", "E"], "Finish": ["F"]} order = ["Start", "A", "B", "C", "D", "E", "F", "Finish"] early = {} for task in order: early[task] = max((early[p] + durations[p] for p in predecessors[task]), default=0) successors = {task: [] for task in order} for task, parents in predecessors.items(): for parent in parents: successors[parent].append(task) late = {"Finish": early["Finish"]} for task in reversed(order[:-1]): late[task] = min(late[s] - durations[task] for s in successors[task]) assert early["Finish"] == 10 assert [late[t] - early[t] for t in "ABCDEF"] == [0, 2, 0, 0, 6, 0] positions = {"Start": (0, 1.7), "A": (1.85, 2.55), "B": (3.8, 3.55), "C": (3.8, 1.55), "D": (5.8, 2.55), "E": (3.8, -0.35), "F": (7.75, 1.7), "Finish": (9.65, 1.7)} critical_edges = {("Start", "A"), ("A", "C"), ("C", "D"), ("D", "F"), ("F", "Finish")} teal, gray, ink = "#007b78", "#697a8c", "#203548" fig, ax = plt.subplots(figsize=(9.4, 5.1), dpi=120, facecolor="white") ax.set_facecolor("white") boxes = {} for task in order: x, y = positions[task] critical = early[task] == late[task] boxes[task] = FancyBboxPatch( (x - 0.67, y - 0.49), 1.34, 0.98, boxstyle="round,pad=0.04,rounding_size=0.1", facecolor="#eaf7f4" if critical else "white", edgecolor=teal if critical else gray, linewidth=2 if critical else 1.6, zorder=3) ax.add_patch(boxes[task]) ax.text(x, y + 0.22, task, ha="center", va="center", fontsize=12, fontweight="bold", color=ink, zorder=4) ax.text(x, y - 0.05, f"duration {durations[task]}", ha="center", va="center", fontsize=10, color=ink, zorder=4) ax.text(x, y - 0.30, f"ES {early[task]} LS {late[task]}", ha="center", va="center", fontsize=9.5, color=ink, zorder=4) for child, parents in predecessors.items(): for parent in parents: critical = (parent, child) in critical_edges ax.add_patch(FancyArrowPatch( positions[parent], positions[child], patchA=boxes[parent], patchB=boxes[child], arrowstyle="-|>", mutation_scale=16, shrinkA=4, shrinkB=4, linewidth=2.7 if critical else 1.7, color=teal if critical else gray, zorder=2)) ax.set_title("Critical path A → C → D → F: 3 + 4 + 2 + 1 = 10", fontsize=15, pad=16, color=ink) ax.legend(handles=[Line2D([0], [0], color=teal, lw=2.7, label="Critical path"), Line2D([0], [0], color=gray, lw=1.7, label="Other precedence")], loc="lower center", bbox_to_anchor=(0.5, -0.04), ncol=2, frameon=False, fontsize=10) fig.text(0.5, 0.04, "ES / LS = earliest / latest start. Every incoming requirement must hold.", ha="center", fontsize=10, color=ink) ax.set(xlim=(-0.95, 10.6), ylim=(-1.2, 4.3), aspect="equal") ax.axis("off") fig.subplots_adjust(left=0.02, right=0.98, top=0.87, bottom=0.13) output = Path.cwd() / Path(__file__).with_suffix(".png").name fig.savefig(output, facecolor="white", transparent=False) plt.close(fig) print(f"{output.name}: finish 10, critical path A-C-D-F") if __name__ == "__main__": main()