CF453E Little Pony and Lord Tirek

Description

Lord Tirek is a centaur and the main antagonist in the season four finale episodes in the series "My Little Pony: Friendship Is Magic". In "Twilight's Kingdom" (Part 1), Tirek escapes from Tartarus and drains magic from ponies to grow stronger. ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF453E/643ac83a27b2195ea33883fd4f5562486272f6c4.png)The core skill of Tirek is called Absorb Mana. It takes all mana from a magic creature and gives them to the caster. Now to simplify the problem, assume you have $ n $ ponies (numbered from 1 to $ n $ ). Each pony has three attributes: - $ s_{i} $ : amount of mana that the pony has at time 0; - $ m_{i} $ : maximum mana that the pony can have; - $ r_{i} $ : mana regeneration per unit time. Lord Tirek will do $ m $ instructions, each of them can be described with three integers: $ t_{i},l_{i},r_{i} $ . The instruction means that at time $ t_{i} $ , Tirek will use Absorb Mana on ponies with numbers from $ l_{i} $ to $ r_{i} $ (both borders inclusive). We'll give you all the $ m $ instructions in order, count how much mana Tirek absorbs for each instruction.

Input Format

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Output Format

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Explanation/Hint

Every pony starts with zero mana. For the first instruction, each pony has 5 mana, so you get 25 mana in total and each pony has 0 mana after the first instruction. For the second instruction, pony 3 has 14 mana and other ponies have mana equal to their $ m_{i} $ .