btme's blog

By btme, history, 3 years ago, In English

CAN ANY ONE HELP ME WITH THIS PROBLEM?

There are N people in a country and everyone needs to be given two doses of covid vaccination. The government provided two arrays X and Y, of length M.

*Xi denotes that exactly Xi people should be vaccinated with the first dose on the ith day of vaccination 
*Yi denotes that no more than Yi people should be vaccinated with the second dose on the ith day

It is given that if a person is vaccinated with the first dose on a jth day, then the second dose should be on day j or later.

Find the total no of ways in which government can assign day of two doses to each of the n people such that all the people are vaccinated in M days. Since the answer can be very large, return it modulo 10^9+7.

Note: It is given that the sum of all Xi is equal to N. Also it is guaranteed that Xi<=Yi

1<=N<=1000 1<=M<=100 0<=Xi<=100 0<=Yi<=100

Example: N 3 M 2 X-> 1,2 Y-> 2,2

OUTPUT=3

  • Vote: I like it
  • -24
  • Vote: I do not like it

| Write comment?
»
3 years ago, # |
  Vote: I like it -13 Vote: I do not like it

Auto comment: topic has been updated by btme (previous revision, new revision, compare).

  • »
    »
    3 years ago, # ^ |
      Vote: I like it +1 Vote: I do not like it

    Bro how much u were able to solve because i found the problems really hard and really got demotivated.