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  • SP10707 COT2

    大概学了下树上莫队, 其实就是在欧拉序上跑莫队, 特判lca即可.

    #include <iostream>
    #include <algorithm>
    #include <cstdio>
    #include <math.h>
    #include <set>
    #include <map>
    #include <queue>
    #include <string>
    #include <string.h>
    #include <bitset>
    #define REP(i,a,n) for(int i=a;i<=n;++i)
    #define PER(i,a,n) for(int i=n;i>=a;--i)
    #define hr putchar(10)
    #define pb push_back
    #define lc (o<<1)
    #define rc (lc|1)
    #define mid ((l+r)>>1)
    #define ls lc,l,mid
    #define rs rc,mid+1,r
    #define x first
    #define y second
    #define io std::ios::sync_with_stdio(false)
    #define endl '
    '
    #define DB(a) ({REP(i,1,n) cout<<a[i]<<' ';hr;})
    using namespace std;
    typedef long long ll;
    typedef pair<int,int> pii;
    const int P = 1e9+7, INF = 0x3f3f3f3f;
    ll gcd(ll a,ll b) {return b?gcd(b,a%b):a;}
    ll qpow(ll a,ll n) {ll r=1%P;for (a%=P;n;a=a*a%P,n>>=1)if(n&1)r=r*a%P;return r;}
    ll inv(ll x){return x<=1?1:inv(P%x)*(P-P/x)%P;}
    //head
    
    
    
    
    const int N = 1e5+10;
    int n, m, a[N], b[N];
    vector<int> g[N];
    int fa[N], son[N], L[N], R[N], no[N];
    int top[N], dep[N], sz[N];
    int sqn, cnt, ans[N], blo[N], ff[N], vis[N];
    struct _ {
    	int l,r,lca,id;
    	bool operator < (const _ & rhs) const {
    		return blo[l]^blo[rhs.l]?l<rhs.l:blo[l]&1?r<rhs.r:r>rhs.r;
    	}
    } q[N];
    void dfs(int x, int d, int f) {
    	fa[x]=f,sz[x]=1,dep[x]=d,L[x]=++*L,no[*L]=x;
    	for (int y:g[x]) if (y!=f) {
    		dfs(y,d+1,x), sz[x]+=sz[y];
    		if (sz[y]>sz[son[x]]) son[x]=y;
    	}
    	R[x]=++*L,no[*L]=x;
    }
    void dfs(int x, int tf) {
    	top[x]=tf;
    	if (son[x]) dfs(son[x],tf);
    	for (int y:g[x]) if (!top[y]) dfs(y,y);
    }
    int lca(int x, int y) { 
    	while (top[x]!=top[y]) {
    		if (dep[top[x]]<dep[top[y]]) swap(x,y);
    		x = fa[top[x]];
    	}
    	return dep[x]<dep[y]?x:y;
    }
    void add(int x) {
    	if (vis[x]) {if (--ff[a[x]]==0) --cnt;}
    	else {if (++ff[a[x]]==1) ++cnt;}
    	vis[x] ^= 1;
    }
    
    int main() {
    	scanf("%d%d", &n, &m), sqn=sqrt(n);
    	REP(i,1,n) scanf("%d",a+i),b[i]=a[i];
    	sort(b+1,b+1+n),*b=unique(b+1,b+1+n)-b-1;
    	REP(i,1,n) a[i]=lower_bound(b+1,b+1+*b,a[i])-b;
    	REP(i,1,2*n) blo[i]=i/sqn;
    	REP(i,2,n) {
    		int u, v;
    		scanf("%d%d", &u, &v);
    		g[u].pb(v),g[v].pb(u);
    	}
    	dfs(1,1,0),dfs(1,1);
    	REP(i,1,m) {
    		int x, y;
    		scanf("%d%d", &x, &y);
    		if (L[x]>L[y]) swap(x,y);
    		int _lca = lca(x,y);
    		if (_lca==x) q[i].l=L[x];
    		else q[i].l=R[x],q[i].lca=_lca;
    		q[i].id=i, q[i].r=L[y];
    	}
    	sort(q+1,q+1+m);
    	int ql=1,qr=0;
    	REP(i,1,m) {
    		while (ql<q[i].l) add(no[ql++]);
    		while (qr>q[i].r) add(no[qr--]);
    		while (ql>q[i].l) add(no[--ql]);
    		while (qr<q[i].r) add(no[++qr]);
    		if (q[i].lca) add(q[i].lca);
    		ans[q[i].id] = cnt;
    		if (q[i].lca) add(q[i].lca);
    	}
    	REP(i,1,m) printf("%d
    ", ans[i]);
    }
    
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  • 原文地址:https://www.cnblogs.com/uid001/p/10640743.html
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