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  • isaster(Comet OJ

    题目链接

    传送门

    思路

    (kruskal)重构树(+)线段树(+)倍增

    代码

    #include <set>
    #include <map>
    #include <deque>
    #include <queue>
    #include <stack>
    #include <cmath>
    #include <ctime>
    #include <bitset>
    #include <cstdio>
    #include <string>
    #include <vector>
    #include <cassert>
    #include <cstdlib>
    #include <cstring>
    #include <iostream>
    #include <algorithm>
    using namespace std;
    
    typedef long long LL;
    typedef pair<LL, LL> pLL;
    typedef pair<LL, int> pLi;
    typedef pair<int, LL> pil;;
    typedef pair<int, int> pii;
    typedef unsigned long long uLL;
    
    #define fi first
    #define se second
    #define lson (rt<<1)
    #define rson (rt<<1|1)
    #define lowbit(x) x&(-x)
    #define name2str(name) (#name)
    #define bug printf("*********
    ")
    #define debug(x) cout<<#x"=["<<x<<"]" <<endl
    #define FIN freopen("D://Code//in.txt","r",stdin)
    #define IO ios::sync_with_stdio(false),cin.tie(0)
    
    const double eps = 1e-8;
    const int mod = 998244353;
    const int maxn = 100000 + 7;
    const double pi = acos(-1);
    const int inf = 0x3f3f3f3f;
    const LL INF = 0x3f3f3f3f3f3f3f3fLL;
    
    inline int read() {
        int f = 0, x = 0;
        char ch = getchar();
        while (ch < '0' || ch > '9') f |= (ch == '-'), ch = getchar();
        while (ch >= '0' && ch <= '9') x = (x << 3) + (x << 1) + ch - '0', ch = getchar();
        return x = f ? -x : x;
    }
    
    pii edge[maxn*2];
    vector<int> vec[maxn];
    int n, m, q, op, x, y, dfn;
    int Fa[maxn], mul[maxn<<2], fa[maxn][22], w[maxn], ls[maxn], rs[maxn], dd[maxn];
    
    int fi(int x) {
        return Fa[x] == x ? x : Fa[x] = fi(Fa[x]);
    }
    
    void dfs(int u, int p) {
        fa[u][0] = p, ls[u] = ++dfn, dd[dfn] = u;
        for(int i = 1; i <= 20; ++i) fa[u][i] = fa[fa[u][i-1]][i-1];
        for(int i = 0; i < (int)vec[u].size(); ++i) {
            int v = vec[u][i];
            dfs(v, u);
        }
        rs[u] = dfn;
    }
    
    void push_up(int rt) {
        mul[rt] = 1LL * mul[lson] * mul[rson] % mod;
    }
    
    void build(int rt, int l, int r) {
        if(l == r) {
            mul[rt] = w[dd[l]];
            return;
        }
        int mid = (l + r) >> 1;
        build(lson, l, mid), build(rson, mid + 1, r);
        push_up(rt);
    }
    
    void update(int rt, int l, int r, int pos, int val) {
        if(l == r) {
            mul[rt] = val % mod;
            return;
        }
        int mid = (l + r) >> 1;
        if(pos <= mid) update(lson, l, mid, pos, val);
        else update(rson, mid + 1, r, pos, val);
        push_up(rt);
    }
    
    int query(int rt, int l, int r, int L, int R) {
        if(l == L && R == r) return mul[rt];
        int mid = (l + r) >> 1;
        if(R <= mid) return query(lson, l, mid, L, R);
        else if(L > mid) return query(rson, mid + 1, r, L, R);
        else return 1LL * query(lson, l, mid, L, mid) * query(rson, mid + 1, r, mid + 1, R) % mod;
    }
    
    void solve(int x, int y) {
        if(x > y) {
            printf("0
    ");
            return;
        }
        for(int i = 20; i >= 0; --i) {
            if(fa[x][i] != 0 && fa[x][i] <= y) x = fa[x][i];
        }
        printf("%d
    ", query(1, 1, n, ls[x], rs[x]));
    }
    
    int main() {
    #ifndef ONLINE_JUDGE
    FIN;
    #endif // ONLINE_JUDGE
        n = read(), m = read(), q = read();
        for(int i = 1; i <= n; ++i) w[i] = read(), w[i] %= mod, Fa[i] = i;
        int x, y;
        for(int i = 1; i <= m; ++i) {
            x = read(), y = read();
            if(x < y) swap(x, y);
            edge[i] = {x, y};
        }
        sort(edge + 1, edge + m + 1);
        for(int i = 1; i <= m; ++i) {
            x = edge[i].fi, y = edge[i].se;
            x = fi(x), y = fi(y);
            if(x == y) continue;
            if(x > y) Fa[y] = x, vec[x].push_back(y);
            else Fa[x] = y, vec[y].push_back(x);
        }
        dfs(n, 0);
        build(1, 1, n);
        while(q--) {
            op = read(), x = read(), y = read();
            if(op == 1) {
                solve(x, y);
            } else {
                update(1, 1, n, ls[x], y);
            }
        }
        return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/Dillonh/p/11567808.html
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