format this "BOI 2024 Vilnius, Lithuania May 3 - May 7, 2024 jobs d1 Tasks English (HSC) Jobs You have a successful business where you make money by completing jobs for your clients. Currently, you can choose from N one-time jobs, numbered from 1 to N. Completing job i will make you a profit of x euros. The profit may also be negative (x < 0). Some jobs depend on another job. That is, there may be a job numbered p that must be completed before the i-th job can be started. Hence, a job with a large profit may be less attractive than it seems if it depends on a job with a negative profit. If p = 0, the i-th job has no dependency. You currently have s euros and can decide which jobs to do and in which order to do them, as long as the dependencies are respected. Moreover, the amount of money you own may not become negative at any point. Task Calculate the maximum profit you can make by choosing to complete some (possibly none) of the N jobs in a selected order. Input The first line contains two integers N and s – the number of jobs and the amount of money you initially own respectively. Then, N lines follow. The i-th of them contains two integers x and p – the profit and the number of the prerequisite job for the i-th job, respectively. If p = 0, the i-th job does not have a job dependency. Output Your program should output a single integer – the maximum profit that you can make. i i i i i i i jobs (1 of 2) Examples Input Output Explanation 6 1 3 0 -3 1 -5 0 2 1 6 3 -4 5 6 To maximize profit, you should pick jobs 1, 4, 3 and 5 in the following order: Job 1: money 1 → 4, Job 4 (prerequisite 1 complete): money 4 → 6, Job 3: money 6 → 1, Job 5 (prerequisite 3 complete): money 1 → 7. Overall, the total profit is 7 - 1 = 6 (current money minus starting money). Constraints 1 ≤ N ≤ 3 ⋅ 10 0 ≤ s ≤ 10 −10 ≤ x ≤ 10 (for all 1 ≤ i ≤ N) 0 ≤ p < i (for all 1 ≤ i ≤ N) Subtasks No. Points Additional constraints 1 11 s = 10 . 2 14 N ≤ 2000 and for all jobs, either p = 0, or p = i − 1. 3 15 For all jobs, either p = 0, or p = i − 1. 4 29 N ≤ 2000. 5 31 No additional constraints. 5 18 9 i 9 i 18 i i i i jobs (2 of 2)
So i have a successful business where i make mony by completing jobs for clients
→ now i have N number of jobs , numbered from 1 to N
Completing job i will give a profit of xi euros
Be careful the profit also me be negative (xi <0 )
—> so some jobs may depend on another job ,
—> it’s possible to find a job numbered pi where must completed before the i-th job can be started
Q- this why it’s possible to find a job profit but may be less attractive because it depends on a job with a negative proft
—> it pi =0 the i-th job has no dependency
→ initially you have “s” euros and you can decide which jobs to do and in which order to do theme
→ as long you respect their dependencies are respected
→ my Task is find the maximum profit that i can make by choosing to complete some(possible none ) of the N jobs in a selected order
Q- let’s try to understand the input format ?
The first line contains two integers N and s - the number of jobs and the amount of money you initially own respectively
Then xi: repersent the number of the prerequisite job for the i-th job
Pi : number of the i-th job does not have a jo
" without given solution oky just format it


Q- give me example of 5 taks that can be example of input & output here 

Example 2:
Input:
3 5
10 0
-20 1
5 0


Here as we can see that the number of tasks are 3 

The first task has a profit of 10 and has no depenciy with any task 
The second task has a profit of 20 and has a dependencies with task one that need to be done first 
Thre third task has a profit of 5 and has 0 depency with any task 

In this example ?  

We need to eliminate the second task because 
First the profit is negative (and big ) 
And even the dependency with task one the profit remain -10 
Then if we choice to do the task one with is the task with relative max profit possuible 

Q- the first think to come my mind the problem has “depenciy “ structure and how algorithmcally can represent this depencies in the most efficient approach possible , 

Q- do not give the solution just thinkings notes please