• SCUT


    https://scut.online/p/297

    一般的树剖是关于点权的,但是突发奇想好像边权也是一样的。做一些小改动。

    #include<bits/stdc++.h>
    #define lc (o<<1)
    #define rc (o<<1|1)
    typedef long long ll;
    using namespace std;
    
    const ll INF = 1e18;
    
    const int MAXN = 125000 + 5;
    int dep[MAXN], siz[MAXN],  son[MAXN], fa[MAXN], top[MAXN], tid[MAXN], rnk[MAXN], cnt;
    
    int n, m;
    
    int head[MAXN], etop;
    struct Edge {
        int v, next;
    } e[MAXN * 2];
    
    inline void init(int n) {
        etop = 0;
        memset(head, -1, sizeof(head[0]) * (n + 1));
    }
    
    inline void addedge(int u, int v) {
        e[++etop].v = v;
        e[etop].next = head[u];
        head[u] = etop;
        e[++etop].v = u;
        e[etop].next = head[v];
        head[v] = etop;
    }
    
    struct SegmentTree {
        ll mi[MAXN * 4], ma[MAXN * 4], lz[MAXN * 4];
    
        void pushup(int o) {
            mi[o] = min(mi[lc], mi[rc]);
            ma[o] = max(ma[lc], ma[rc]);
        }
    
        void pushdown(int o, int l, int r) {
            if(lz[o]) {
                lz[lc] += lz[o];
                lz[rc] += lz[o];
                mi[lc] += lz[o];
                ma[lc] += lz[o];
                mi[rc] += lz[o];
                ma[rc] += lz[o];
                lz[o] = 0;
            }
        }
    
        void update(int o, int l, int r, int ql, int qr, int v) {
            if(ql <= l && r <= qr) {
                lz[o] += v, mi[o] += v, ma[o] += v;
            } else {
                pushdown(o, l, r);
                int m = (l + r) >> 1;
                if(ql <= m)
                    update(lc, l, m, ql, qr, v);
                if(qr >= m + 1)
                    update(rc, m + 1, r, ql, qr, v);
                pushup(o);
            }
        }
    
        ll querymin(int o, int l, int r, int ql, int qr) {
            if(ql <= l && r <= qr) {
                return mi[o];
            } else {
                pushdown(o, l, r);
                int m = (l + r) >> 1;
                ll res = INF;
                if(ql <= m)
                    res = min(res, querymin(lc, l, m, ql, qr));
                if(qr >= m + 1)
                    res = min(res, querymin(rc, m + 1, r, ql, qr));
                return res;
            }
        }
        ll querymax(int o, int l, int r, int ql, int qr) {
            if(ql <= l && r <= qr) {
                return ma[o];
            } else {
                pushdown(o, l, r);
                int m = (l + r) >> 1;
                ll res = -INF;
                if(ql <= m)
                    res = max(res, querymax(lc, l, m, ql, qr));
                if(qr >= m + 1)
                    res = max(res, querymax(rc, m + 1, r, ql, qr));
                return res;
            }
        }
    } st;
    
    void init1() {
        dep[1] = 1;
    }
    
    void dfs1(int u, int t) {
        siz[u] = 1, son[u] = -1, fa[u] = t;
        for(int i = head[u]; i != -1; i = e[i].next) {
            int v = e[i].v;
            if(v == t)
                continue;
            dep[v] = dep[u] + 1;
            dfs1(v, u);
            siz[u] += siz[v];
            if(son[u] == -1 || siz[v] > siz[son[u]])
                son[u] = v;
        }
    }
    
    void init2() {
        cnt = 0;
    }
    
    void dfs2(int u, int t) {
        top[u] = t;
        tid[u] = ++cnt;
        rnk[cnt] = u;
        if(son[u] == -1)
            return;
        dfs2(son[u], t);
        for(int i = head[u]; i != -1; i = e[i].next) {
            int v = e[i].v;
            if(v == fa[u] || v == son[u])
                continue;
            dfs2(v, v);
        }
    }
    
    ll querymin1(int u, int v) {
        ll ret = INF;
        int tu = top[u], tv = top[v];
        while(tu != tv) {
            if(dep[tu] >= dep[tv]) {
                ret = min(ret, st.querymin(1, 1, n, tid[tu], tid[u]));
                u = fa[tu];
                tu = top[u];
            } else {
                ret = min(ret, st.querymin(1, 1, n, tid[tv], tid[v]));
                v = fa[tv];
                tv = top[v];
            }
        }
        if(tid[u] == tid[v])
            return ret;
        if(tid[u] < tid[v])
            ret = min(ret, st.querymin(1, 1, n, tid[u], tid[v] - 1));
        else
            ret = min(ret, st.querymin(1, 1, n, tid[v], tid[u] - 1));
        return ret;
    }
    
    ll querymax1(int u, int v) {
        ll ret = -INF;
        int tu = top[u], tv = top[v];
        while(tu != tv) {
            if(dep[tu] >= dep[tv]) {
                ret = max(ret, st.querymax(1, 1, n, tid[tu], tid[u]));
                u = fa[tu];
                tu = top[u];
            } else {
                ret = max(ret, st.querymax(1, 1, n, tid[tv], tid[v]));
                v = fa[tv];
                tv = top[v];
            }
        }
        if(tid[u] == tid[v])
            return ret;
        if(tid[u] < tid[v])
            ret = max(ret, st.querymax(1, 1, n, tid[u], tid[v] - 1));
        else
            ret = max(ret, st.querymax(1, 1, n, tid[v], tid[u] - 1));
        return ret;
    }
    
    inline void update1(int u, int v, int val) {
        int tu = top[u], tv = top[v];
        while(tu != tv) {
            if(dep[tu] >= dep[tv]) {
                st.update(1, 1, n, tid[tu], tid[u], val);
                u = fa[tu];
                tu = top[u];
            } else {
                st.update(1, 1, n, tid[tv], tid[v], val);
                v = fa[tv];
                tv = top[v];
            }
        }
        if(tid[u] == tid[v])
            return;
        else if(tid[u] < tid[v])
            st.update(1, 1, n, tid[u], tid[v] - 1, val);
        else
            st.update(1, 1, n, tid[v], tid[u] - 1, val);
    }
    
    void op0() {
        int u, v, val;
        scanf("%d%d%d", &u, &v, &val);
        update1(u, v, val);
    }
    
    void op1() {
        int u, v;
        scanf("%d%d", &u, &v);
        ll res = querymin1(u, v);
        if(res != 0) {
            printf("Lunatic
    ");
        } else {
            res = querymax1(u, v);
            if(res != 0)
                printf("Lunatic
    ");
            else
                printf("Normal
    ");
        }
    }
    
    
    int main() {
    #ifdef Yinku
        freopen("Yinku.in", "r", stdin);
    #endif // Yinku
        scanf("%d", &n);
        init(n);
        for(int i = 1, u, v; i <= n - 1; ++i) {
            scanf("%d%d", &u, &v);
            addedge(u, v);
        }
        init1();
        dfs1(1, -1);
        init2();
        dfs2(1, 1);
        scanf("%d", &m);
        for(int i = 1, op; i <= m; ++i) {
            scanf("%d", &op);
            switch(op) {
                case 0:
                    op0();
                    break;
                case 1:
                    op1();
                    break;
            }
        }
        return 0;
    }
    

    上面的那个代码是有问题的,算法和定义不对应,但是居然能过?数据太弱了笑死我了。

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  • 原文地址:https://www.cnblogs.com/Yinku/p/11312201.html
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