You are managing a highly intricate construction project with multiple tasks, and the dependencies between them are quite convoluted. The project involves ten lasks, and their durations are known, but the dependencies are not clearly defined.

Your task is to identify the critical path, determine the earliest start and finish times for each task, and calculate the total float for each task. The catch is that the project's dependencies are not given explicitly; instead, you must derive them based on the following information

a$.$ Task A must finish before Task B and Task C can start.

b$.$ Task D is dependent on both Task B and Task E$.$

c$.$ Task Fis dependent on Task C$.$

d$.$ Task G and Task H can start concurrently, but Task I cannot start until both G and H are completed

e$.$ Task J is dependent$$on$$Task$$I$.$

Based on these implied dependencies and the following task durations: A $0$ B $5$ C D $6$ E $43$ F $2$ G $4$ H $35$ J $21.$ Determine the critical path for project $2.$ Calculate the earlies start and finish times for each task $3.$ Calculate the total float of the each task. $4.$ Create a Gantt chart for the project above.