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POJ2985 The k-th Largest Group

2018年04月21日 ⁄ 综合 ⁄ 共 904字 ⁄ 字号 评论关闭

并查集 + 树状数组求第k大

#include <cstdio>
#include <cstring>
#include <iostream>
using namespace std;
int const MAXN = 200010;
int n,m;
int c[MAXN],father[MAXN],cnt[MAXN];
void Init(){
    for(int i = 1;i < MAXN;i++){
        father[i] = i;
        cnt[i] = 1;
    }
    memset(c,0,sizeof(c));
}
int Find(int x){
    int y = x;
    while(y != father[y]){
        y = father[y];
    }
    while(x != father[x]){
        int temp = x;
        x = father[x];
        father[temp] = y;
    }
    return x;
}
int LowBit(int x){
    return x & (-x);
}
void Add(int x,int d){
    while(x < MAXN){
        c[x] += d;
        x += LowBit(x);
    }
}
int Sum(int x){
    int ret = 0;
    while(x > 0){
        ret += c[x];
        x -= LowBit(x);
    }
    return ret;
}
int main(){
    while(~scanf("%d%d",&n,&m)){
        Init();
        Add(1,n);
        int num = n;
        for(int i = 1;i <= m;i++){
            int a;
            scanf("%d",&a);
            if(a){
                int k;
                scanf("%d",&k);
                k = num - k + 1;
                int l = 1,r = n;
                while(l <= r){
                    int mid = (l + r) >> 1;
                    if(Sum(mid) >= k) r = mid - 1;
                    else l = mid + 1;
                }
                printf("%d\n",l);
            }
            else{
                int x,y;
                scanf("%d%d",&x,&y);
                int xx = Find(x);
                int yy = Find(y);
                if(xx == yy) continue;
                Add(cnt[xx],-1);
                Add(cnt[yy],-1);
                cnt[xx] += cnt[yy];
                Add(cnt[xx],1);
                father[yy] = xx;
                num--;
            }
        }

    }
    return 0;
}
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