시간 제한 | 메모리 제한 | 제출 | 정답 | 맞힌 사람 | 정답 비율 |
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2 초 | 256 MB | 182 | 53 | 44 | 31.206% |
Competitive programming is very popular in Byteland. In fact, every Bytelandian citizen is registered at two programming sites — CodeCoder and TopForces. Each site maintains its own proprietary rating system. Each citizen has a unique integer rating at each site that approximates their skill. Greater rating corresponds to better skill.
People of Byteland are naturally optimistic. Citizen A thinks that he has a chance to beat citizen B in a programming competition if there exists a sequence of Bytelandian citizens A = P0, P1, . . . , Pk = B for some k ≥ 1 such that for each i (0 ≤ i < k), Pi has higher rating than Pi+1 at one or both sites.
Each Bytelandian citizen wants to know how many other citizens they can possibly beat in a programming competition.
The first line of the input contains an integer n — the number of citizens (1 ≤ n ≤ 100 000). The following n lines contain information about ratings. The i-th of them contains two integers CCi and T Fi — ratings of the i-th citizen at CodeCoder and TopForces (1 ≤ CCi, T Fi ≤ 106). All the ratings at each site are distinct.
For each citizen i output an integer bi — how many other citizens they can possibly beat in a programming competition. Each bi should be printed in a separate line, in the order the citizens are given in the input.
4 2 3 3 2 1 1 4 5
2 2 0 3