Need help on this problem

Правка en3, от SkyMagic, 2024-11-24 14:07:06

The problem is basically monopoly but you don't need to roll dices or stuffs, we have $$$N$$$ $$$(1 \leq N \leq 10^5)$$$ positions each of which are all empty. We can play any number of rounds by each rounds we choose an index $$$i$$$, if it's empty, we'll build a house on that position which will cost us $$$A_i$$$, and gives us 1 points, but if it's a house already, we'll transform the house to a apartment, which will cost us $$$B_i$$$, and gives us 1 points, if it's already an apartment we'll do nothing, which gives us nothing and cost us nothing (so there's no reason to do this). We always want to maximize the amount of points. (We can make an apartment on the position $$$i$$$ if and only if the position $$$i$$$ is a already a house)

There will be $$$Q$$$ $$$(1 \leq Q \leq 10^5)$$$ queries, on the $$$ith$$$ query $$$(1 \leq i \leq Q)$$$ we have a budget of $$$X_i$$$, which means that the total sums of cost

Теги problem, optimization, dp

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en9 Английский SkyMagic 2024-11-24 16:06:16 26
en8 Английский SkyMagic 2024-11-24 14:23:26 1705 (published)
en7 Английский SkyMagic 2024-11-24 14:21:59 295
en6 Английский SkyMagic 2024-11-24 14:16:26 389
en5 Английский SkyMagic 2024-11-24 14:10:01 6
en4 Английский SkyMagic 2024-11-24 14:09:51 259
en3 Английский SkyMagic 2024-11-24 14:07:06 2 Tiny change: 'e $Q$ $(1 leq Q leq 10^5)$' -> 'e $Q$ $(1 \leq Q \leq 10^5)$'
en2 Английский SkyMagic 2024-11-24 14:05:50 464
en1 Английский SkyMagic 2024-11-24 13:57:26 451 Initial revision (saved to drafts)