uvalive 4730王国kingdom(并查集+线段树)
题意:有T组測试数据。每组数据的N表示有N个城市,接下来的N行里每行给出每一个城市的坐标(0<=x,y<=1000000),然后有M(1<M<200000)个操作,操作有两类,(1)"road A B",表示将城市A和城市B通过一条道路连接,假设A和B原来属于不同的城市群。经过这个操作。A和B就在一个城市群里了。保证每条道路不会和其它道路相交(除了端点A和B)。(2)"line C"。表示查询当穿过y=C的直线,有多少个城市群、这几个城市群一共同拥有多少个城市。
思路:线段树加并查集
#include<cstdio> #include<cstring> #include<cmath> #include<cstdlib> #include<iostream> #include<algorithm> #include<vector> #include<map> #include<queue> #include<stack> #include<string> #include<map> #include<set> #define eps 1e-6 #define LL long long using namespace std; const int maxn = 100000 + 100; const int maxl = 1000000 + 10; const int INF = 0x3f3f3f3f; int pa[maxn], low[maxn], high[maxn], pos[maxn], node[maxn]; int sumv1[2*maxl], addv1[2*maxl]; //有多少州 int sumv2[2*maxl], addv2[2*maxl]; int n, m; //pa保存父亲结点,low,high保存该连通分量的上下边界。node保存连通分量中的结点个数 int find(int x) { if(x != pa[x]) return pa[x] = find(pa[x]); return x; } void maintain1(int o, int L, int R) { int lc = o*2, rc = o*2+1; sumv1[o] = 0; if(R > L) { //考虑左右子树 sumv1[o] = sumv1[lc] + sumv1[rc]; } sumv1[o] += addv1[o] * (R-L+1);//考虑add操作 } void update1(int o, int L, int R, int v, int yl, int yr) { int lc = o*2, rc = o*2+1; if(yl <= L && yr >= R) { //递归边界 addv1[o] += v; //累加边界的add值 } else { int M = L + (R-L)/2; if(yl <= M) update1(lc, L, M, v, yl, yr); if(yr > M) update1(rc, M+1, R, v, yl, yr); } maintain1(o, L, R); //递归结束前又一次计算本节点的附加信息 } int query1(int o, int L, int R, int add, int yl, int yr) { if(yl <= L && yr >= R) { return sumv1[o] + add*(R-L+1); } else { int ans = 0; int M = L + (R-L)/2; if(yl <= M) ans += query1(o*2, L, M, add + addv1[o], yl, yr); if(yr > M) ans += query1(o*2+1, M+1, R, add + addv1[o], yl, yr); return ans; } } void maintain2(int o, int L, int R) { int lc = o*2, rc = o*2+1; sumv2[o] = 0; if(R > L) { //考虑左右子树 sumv2[o] = sumv2[lc] + sumv2[rc]; } sumv2[o] += addv2[o] * (R-L+1);//考虑add操作 } void update2(int o, int L, int R, int v, int yl, int yr) { int lc = o*2, rc = o*2+1; if(yl <= L && yr >= R) { //递归边界 addv2[o] += v; //累加边界的add值 } else { int M = L + (R-L)/2; if(yl <= M) update2(lc, L, M, v, yl, yr); if(yr > M) update2(rc, M+1, R, v, yl, yr); } maintain2(o, L, R); //递归结束前又一次计算本节点的附加信息 } int query2(int o, int L, int R, int add, int yl, int yr) { if(yl <= L && yr >= R) { return sumv2[o] + add*(R-L+1); } else { int ans = 0; int M = L + (R-L)/2; if(yl <= M) ans += query2(o*2, L, M, add + addv2[o], yl, yr); if(yr > M) ans += query2(o*2+1, M+1, R, add + addv2[o], yl, yr); return ans; } } void init() { memset(addv1, 0 ,sizeof(addv1)); memset(addv2, 0, sizeof(addv2)); memset(sumv1, 0, sizeof(sumv1)); memset(sumv2, 0, sizeof(sumv2)); cin >> n; for(int i = 0; i < n; i++) { int tmp; cin >> tmp >> pos[i]; } for(int i = 0; i < n; i++) { pa[i] = i; node[i] = 1; high[i] = low[i] = pos[i]; } cin >> m; } void solve() { char cmd[5]; int a, b; float c; while(m--) { cin >> cmd; if(cmd[0] == 'r') { cin >> a >> b; if(find(a) != find(b)) { if(high[pa[a]] != low[pa[a]]) { update1(1, 1, 1000000, -1, low[pa[a]]+1, high[pa[a]]); update2(1, 1, 1000000, -node[pa[a]], low[pa[a]]+1, high[pa[a]]); } if(high[pa[b]] != low[pa[b]]) { update1(1, 1, 1000000, -1, low[pa[b]]+1, high[pa[b]]); update2(1, 1, 1000000, -node[pa[b]], low[pa[b]]+1, high[pa[b]]); } node[pa[a]] += node[pa[b]]; low[pa[a]] = min(low[pa[a]], low[pa[b]]); high[pa[a]] = max(high[pa[a]], high[pa[b]]); pa[pa[b]] = pa[a]; if(high[pa[a]] != low[pa[a]]) { update1(1, 1, 1000000, 1, low[pa[a]]+1, high[pa[a]]); update2(1, 1, 1000000, node[pa[a]], low[pa[a]]+1, high[pa[a]]); } } } else { cin >> c; cout << query1(1, 1, 1000000, 0, (int)(c+1), (int)(c+1)) << " "; cout << query2(1, 1, 1000000, 0, (int)(c+1), (int)(c+1)) << endl; // cout << (int)(c+1) << endl; } } } int main() { // freopen("input.txt", "r", stdin); int t; cin >> t; while(t--) { init(); solve(); } return 0; }