客户中心模拟(Queue and A, ACM/ICPC World Finals 2000, UVa822)rust解法

你的任务是模拟一个客户中心运作情况。客服请求一共有n(1≤n≤20)种主题,每种主题用5个整数描述:tid, num, t0, t, dt,其中tid为主题的唯一标识符,num为该主题的请求个数,t0为第一个请求的时刻,t为处理一个请求的时间,dt为相邻两个请求之间的间隔(为了简单情况,假定同一个主题的请求按照相同的间隔到达)。
客户中心有m(1≤m≤5)个客服,每个客服用至少3个整数描述:pid, k, tid1, tid2, …,
tidk ,表示一个标识符为pid的人可以处理k种主题的请求,按照优先级从大到小依次为tid1,tid2, …, tidk 。当一个人有空时,他会按照优先级顺序找到第一个可以处理的请求。如果有多个人同时选中了某个请求,上次开始处理请求的时间早的人优先;如果有并列,id小的优先。输出最后一个请求处理完毕的时刻。

分析:
每个请求项,都由其优先级最高的那个客服处理。
比如,
A客服优先级为[1 ,3, 2, 4]
B客服优先级为[2, 1, 3,]
那么请求项3,要经过两轮选择,之后由A处理。
请求项2,则只经过一轮选择,由B处理。
请求项4,要经过四轮选择,由A处理。

样例:
输入

3
128 20 0 5 10
134 25 5 6 7
153 30 10 4 5
4
10 2 128 134
11 1 134
12 2 128 153
13 1 153

15
1 68 36 23 2
2 9 6 19 60
3 67 10 6 49
4 49 44 23 66
5 81 8 18 35
6 99 85 85 75
7 94 75 94 96
8 29 7 67 28
9 100 95 11 89
10 29 16 10 29
11 32 55 10 15
12 70 48 4 84
13 100 36 63 73
14 42 93 28 47
15 100 35 2 73
3
1 13 1 2 3 4 5 6 7 8 9 11 12 13 14
2 10 2 3 4 5 9 10 11 12 14 15
3 11 1 2 3 4 5 6 7 9 13 14 15

输出

finish time 195
finish time 13899

解法:

use std::{
    collections::{BTreeSet, BinaryHeap},
    io,
};
#[derive(Debug)]
struct Request {
    id: usize,
    num: usize,
    t0: usize,
    t: usize,
    dt: usize,
}

#[derive(Debug, PartialEq, Eq, Clone, Copy)]
struct RequestItem {
    req_id: usize,
    arrive_time: usize,
    process_time: usize,
}
impl Ord for RequestItem {
    fn cmp(&self, other: &Self) -> std::cmp::Ordering {
        other.arrive_time.cmp(&self.arrive_time)
    }
}
impl PartialOrd for RequestItem {
    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
        Some(self.cmp(other))
    }
}

#[derive(Debug, PartialEq, Eq, Clone)]
struct Server {
    id: usize,
    num: usize,
    req_ids: Vec<usize>,
    start_process_time: usize,
    finsh_process_time: usize,
}
impl Ord for Server {
    fn cmp(&self, other: &Self) -> std::cmp::Ordering {
        if self.finsh_process_time != other.finsh_process_time {
            other.finsh_process_time.cmp(&self.finsh_process_time)
        } else if self.start_process_time != other.start_process_time {
            other.start_process_time.cmp(&self.start_process_time)
        } else {
            other.id.cmp(&self.id)
        }
    }
}
impl PartialOrd for Server {
    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
        Some(self.cmp(other))
    }
}
fn main() {
    let mut buf = String::new();
    io::stdin().read_line(&mut buf).unwrap();
    let n: usize = buf.trim().parse().unwrap();
    let mut requests: Vec<Request> = vec![];
    for _i in 0..n {
        let mut buf = String::new();
        io::stdin().read_line(&mut buf).unwrap();
        let v: Vec<usize> = buf.split_whitespace().map(|x| x.parse().unwrap()).collect();
        requests.push(Request {
            id: v[0],
            num: v[1],
            t0: v[2],
            t: v[3],
            dt: v[4],
        });
    }
    //println!("{:?}", requests);
    let mut buf = String::new();
    io::stdin().read_line(&mut buf).unwrap();
    let m: usize = buf.trim().parse().unwrap();
    let mut servers: BinaryHeap<Server> = BinaryHeap::new();
    for _i in 0..m {
        let mut buf = String::new();
        io::stdin().read_line(&mut buf).unwrap();
        let v: Vec<usize> = buf.split_whitespace().map(|x| x.parse().unwrap()).collect();
        servers.push(Server {
            id: v[0],
            num: v[1],
            req_ids: v[2..].to_vec(),
            start_process_time: 0,
            finsh_process_time: 0,
        });
    }
    //println!("{:?}", servers);
    let mut request_items: BinaryHeap<RequestItem> = BinaryHeap::new();
    let mut time_points: BTreeSet<usize> = BTreeSet::new();
    for r in requests.iter() {
        for i in 0..r.num {
            let item = RequestItem {
                req_id: r.id,
                arrive_time: r.t0 + r.dt * i,
                process_time: r.t,
            };
            time_points.insert(item.arrive_time);
            request_items.push(item);
        }
    }
    //println!("{:?}", request_items);
    let mut finish_time = 0;
    while request_items.len() > 0 {
        let t = time_points.pop_first().unwrap();

        //等待中的所有请求项
        let mut wait_items: Vec<RequestItem> = vec![];
        while let Some(i) = request_items.peek() {
            if i.arrive_time <= t {
                wait_items.push(*i);
                request_items.pop();
            } else {
                break;
            }
        }
        if wait_items.len() == 0 {
            continue;
        }
        //所有可用的客服
        let mut available_servers: Vec<Server> = vec![];
        while let Some(s) = servers.peek() {
            if s.finsh_process_time <= t {
                available_servers.push(s.clone());
                servers.pop();
            } else {
                break;
            }
        }
        //请求项和客服配对,按照优先级
        for i in 0..n {
            if available_servers.len() == 0 || wait_items.len() == 0 {
                break;
            }
            let mut j = 0;
            while j < wait_items.len() {
                let mut chosen_servers: Vec<&Server> = vec![];
                //同一个请求项可能有多个客服选中
                for server in available_servers.iter() {
                    if server.num > i && server.req_ids[i] == wait_items[j].req_id {
                        chosen_servers.push(server);
                    }
                }
                if chosen_servers.len() > 0 {
                    chosen_servers.sort_by(|a, b| {
                        if a.start_process_time != b.start_process_time {
                            a.start_process_time.cmp(&b.start_process_time)
                        } else {
                            a.id.cmp(&b.id)
                        }
                    });
                    //分配第一个客服给请求项,之后把客服从可用列表中删除
                    let mut server = chosen_servers[0].clone();
                    for k in 0..available_servers.len() {
                        if available_servers[k].id == server.id {
                            available_servers.remove(k);
                            break;
                        }
                    }
                    server.start_process_time = t;
                    server.finsh_process_time =
                        server.start_process_time + wait_items[j].process_time;
                    finish_time = finish_time.max(server.finsh_process_time);
                    time_points.insert(server.finsh_process_time);
                    servers.push(server);
                    wait_items.remove(j); //把请求项从等待列表中删除
                } else {
                    j += 1;
                }
            }
        }
        if wait_items.len() > 0 {
            request_items.append(&mut BinaryHeap::from(wait_items));
        }
        if available_servers.len() > 0 {
            servers.append(&mut BinaryHeap::from(available_servers));
        }
    }
    println!("finish time {}", finish_time);
}

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