1 条题解

  • 1
    @ 2022-7-21 21:18:13
    #include <cmath>
    #include <cstdio>
    #include <cstring>
    #include <iostream>
    #include <algorithm>
    using namespace std;
    inline int read() {
        int res = 0; bool bo = 0; char c;
        while (((c = getchar()) < '0' || c > '9') && c != '-');
        if (c == '-') bo = 1; else res = c - 48;
        while ((c = getchar()) >= '0' && c <= '9')
            res = (res << 3) + (res << 1) + (c - 48);
        return bo ? ~res + 1 : res;
    }
    const int N = 2e5 + 5;
    int n, m, fa[N], lc[N], rc[N], rev[N], que[N], len, val[N], sm[N],
    f[N];
    struct cyx {int a, b, x, y;} ask[N];
    int cx(int x) {
        if (f[x] != x) f[x] = cx(f[x]);
        return f[x];
    }
    void zm(int x, int y) {
        int ix = cx(x), iy = cx(y);
        if (ix != iy) f[iy] = ix;
    }
    bool comp(cyx a, cyx b) {return a.y < b.y;}
    int which(int x) {return rc[fa[x]] == x;}
    bool is_root(int x) {
        return !fa[x] || (lc[fa[x]] != x && rc[fa[x]] != x);
    }
    void upt(int x) {
        sm[x] = x;
        if (lc[x] && val[sm[lc[x]]] > val[sm[x]]) sm[x] = sm[lc[x]];
        if (rc[x] && val[sm[rc[x]]] > val[sm[x]]) sm[x] = sm[rc[x]];
    }
    void down(int x) {
        if (rev[x]) {
            swap(lc[x], rc[x]);
            if (lc[x]) rev[lc[x]] ^= 1;
            if (rc[x]) rev[rc[x]] ^= 1;
            rev[x] = 0;
        }
    } 
    void rotate(int x) {
        int y = fa[x], z = fa[y], b = lc[y] == x ? rc[x] : lc[x];
        if (z && !is_root(y)) (lc[z] == y ? lc[z] : rc[z]) = x;
        fa[x] = z; fa[y] = x; b ? fa[b] = y : 0;
        if (lc[y] == x) rc[x] = y, lc[y] = b;
        else lc[x] = y, rc[y] = b; upt(y); upt(x);
    }
    void splay(int x) {
        int i, y; que[len = 1] = x;
        for (y = x; !is_root(y); y = fa[y]) que[++len] = fa[y];
        for (i = len; i >= 1; i--) down(que[i]);
        while (!is_root(x)) {
            if (!is_root(fa[x])) {
                if (which(x) == which(fa[x])) rotate(fa[x]);
                else rotate(x);
            }
            rotate(x);
        }
        upt(x);
    }
    void Access(int x) {
        int y;
        for (y = 0; x; y = x, x = fa[x]) {
            splay(x); rc[x] = y;
            if (y) fa[y] = x; upt(x);
        }
    }
    int Find_Root(int x) {
        Access(x); splay(x);
        while (down(x), lc[x]) x = lc[x];
        splay(x); return x;
    }
    void Make_Root(int x) {
        Access(x); splay(x);
        rev[x] ^= 1;
    }
    void Link(int x, int y) {
        Make_Root(x); fa[x] = y;
    }
    void Cut(int x, int y) {
        Make_Root(x); Access(y); splay(y);
        lc[y] = 0; fa[x] = 0; upt(y);
    }
    int Select(int x, int y) {
        Make_Root(x); Access(y); splay(y);
        return sm[y];
    }
    int main() {
        int i, ans = 2e9; n = read(); m = read();
        for (i = 1; i <= m; i++)
            ask[i].a = read(), ask[i].b = read(),
            ask[i].x = read(), ask[i].y = read();
        sort(ask + 1, ask + m + 1, comp);
        for (i = 1; i <= n + m; i++) f[i] = sm[i] = i;
        for (i = n + 1; i <= n + m; i++) val[i] = ask[i - n].x;
        for (i = 1; i <= m; i++) {
            int u = ask[i].a, v = ask[i].b; bool flag = 1;
            if (cx(u) == cx(v)) {
                int w = Select(u, v);
                if (val[w] > ask[i].x)
                    Cut(ask[w - n].a, w), Cut(w, ask[w - n].b);
                else flag = 0;
            }
            else zm(u, v); if (flag) Link(u, i + n), Link(i + n, v);
            if (cx(1) == cx(n))
                ans = min(ans, ask[i].y + val[Select(1, n)]);
        }
        if (ans < 2e9) printf("%d\n", ans);
        else printf("-1\n");
        return 0;
    }
    
    • 1

    信息

    ID
    1335
    时间
    3000ms
    内存
    125MiB
    难度
    6
    标签
    递交数
    6
    已通过
    2
    上传者