最长k可重线段集问题

和那道可重区间集一样
不过这道题可能有垂直于x轴的线段，这就很烦了，直接连会有负环，判掉又会WA
可以想办法把r端点和l端点分开，又要保证答案不变
那么直接把区间l，r都乘以2，l=r时r++，否则l++，这样r就与l分开，并且对其它没有影响（相当于在x轴上多加了点）

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这道题在LOJ上可以切

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如果看到了的并且有数据可以卡掉我的代码的请在下面评论

# include <bits/stdc++.h>
# define RG register
# define IL inline
# define Fill(a, b) memset(a, b, sizeof(a))
# define Copy(a, b) memcpy(a, b, sizeof(a))
# define Sqr(a) (1LL * (a) * (a))
using namespace std;
typedef long long ll;
# define int ll
const int _(1010), __(1e6 + 10), INF(2e9);

IL ll Read(){
    char c = '%'; ll x = 0, z = 1;
    for(; c > '9' || c < '0'; c = getchar()) if(c == '-') z = -1;
    for(; c >= '0' && c <= '9'; c = getchar()) x = x * 10 + c - '0';
    return x * z;
}

int n, k, l[_], y_1[_], r[_], y_2[_], _w[_], o[_], len;
int cnt, fst[_], w[__], to[__], nxt[__], dis[_], vis[_], S, T, cost[__], pe[_], pv[_], max_flow, max_cost;
queue <int> Q;

IL void Add(RG int u, RG int v, RG int f, RG int co){
    cost[cnt] = co; w[cnt] = f; to[cnt] = v; nxt[cnt] = fst[u]; fst[u] = cnt++;
    cost[cnt] = -co; w[cnt] = 0; to[cnt] = u; nxt[cnt] = fst[v]; fst[v] = cnt++;
}

IL bool Bfs(){
    Q.push(S); Fill(dis, 127); dis[S] = 0; vis[S] = 1;
    while(!Q.empty()){
        RG int u = Q.front(); Q.pop();
        for(RG int e = fst[u]; e != -1; e = nxt[e]){
            if(!w[e] || dis[to[e]] <= dis[u] + cost[e]) continue;
            dis[to[e]] = dis[u] + cost[e];
            pe[to[e]] = e; pv[to[e]] = u;
            if(!vis[to[e]]) vis[to[e]] = 1, Q.push(to[e]);
        }
        vis[u] = 0;
    }
    if(dis[T] >= dis[T + 1]) return 0;
    RG int ret = INF;
    for(RG int u = T; u != S; u = pv[u]) ret = min(ret, w[pe[u]]);
    for(RG int u = T; u != S; u = pv[u]) w[pe[u]] -= ret, w[pe[u] ^ 1] += ret;
    max_cost -= ret * dis[T]; max_flow += ret;
    return 1;
}
# undef int
int main(RG int argc, RG char *argv[]){
# define int ll
    Fill(fst, -1); n = Read(); k = Read();
    for(RG int i = 1; i <= n; ++i){
        l[i] = Read(); y_1[i] = Read(); r[i] = Read(); y_2[i] = Read();
        _w[i] = sqrt(Sqr(l[i] - r[i]) + Sqr(y_1[i] - y_2[i]));
        if(l[i] > r[i]) swap(l[i], r[i]), swap(y_1[i], y_2[i]);
        l[i] <<= 1; r[i] <<= 1;
        if(l[i] == r[i]) ++r[i];
        else ++l[i];
    }
    for(RG int i = 1; i <= n; ++i) o[++len] = l[i], o[++len] = r[i];
    sort(o + 1, o + len + 1); len = unique(o + 1, o + len + 1) - o - 1;
    T = len + 1;
    for(RG int i = 0; i <= len; ++i) Add(i, i + 1, k, 0);
    for(RG int i = 1; i <= n; ++i){
        l[i] = lower_bound(o + 1, o + len + 1, l[i]) - o;
        r[i] = lower_bound(o + 1, o + len + 1, r[i]) - o;
        Add(l[i], r[i], 1, -_w[i]);
    }
    while(Bfs()); printf("%lld\n", max_cost);
    return 0;
}