二维线段树
两种板子(都是C++ AC, G++ WA 。。。。。)
#include <cstdio> #include <algorithm> using namespace std; #define lson (o<<1) #define rson ((o<<1)|1) const int maxh = 100 + 10; const int maxa = 1000 + 10; int mmax[maxh<<2][maxa<<2]; void build_A(int O, int o, int L, int R) { //活泼度建树 mmax[O][o] = -1; if(L == R) return; int M = (L + R) >> 1; build_A(O, lson, L, M); build_A(O, rson, M+1, R); } void build_H(int o, int L, int R) { //身高建树 build_A(o, 1, 0, 1000); if(L == R) return; int M = (L + R) >> 1; build_H(lson, L, M); build_H(rson, M+1, R); } void Insert_A(int O, int o, int L, int R, int A, int D) { //根据活泼度建树 if(L == R) { mmax[O][o] = max(mmax[O][o], D); return; } int M = (L + R) >> 1; if(A <= M) Insert_A(O, lson, L, M, A, D); else Insert_A(O, rson, M+1, R, A, D); mmax[O][o] = max(mmax[O][lson], mmax[O][rson]); } void Insert(int o, int L, int R, int H, int A, int D) { Insert_A(o, 1, 0, 1000, A, D); if(L == R) return; int M = (L + R) >> 1; if(H <= M) Insert(lson, L, M, H, A, D); else Insert(rson, M+1, R, H, A, D); } int query_A(int O, int o, int L, int R, int A1, int A2) { //根据活泼度查询 if(A1 <= L && R <= A2) return mmax[O][o]; int M = (L + R) >> 1; int Max1 = -1, Max2 = -1; if(A1 <= M) Max1 = query_A(O, lson, L, M, A1, A2); if(A2 > M) Max2 = query_A(O, rson, M+1, R, A1, A2); return (Max1 > Max2) ? Max1 : Max2; } int query(int o, int L, int R, int H1, int H2, int A1, int A2) { if(H1 <= L && R <= H2) return query_A(o, 1, 0, 1000, A1, A2); int M = (L + R) >> 1; int Max1 = -1, Max2 = -1; if(H1 <= M) Max1 = query(lson, L, M, H1, H2, A1, A2); if(H2 > M) Max2 = query(rson, M+1, R, H1, H2, A1, A2); return (Max1 > Max2) ? Max1 : Max2; } int main() { int M; char op; while(scanf("%d", &M) == 1 && M) { build_H(1, 100, 200); for(int i = 0; i < M; i++) { getchar(); op = getchar(); if(op == 'I') { int H, A, D; double AA, DD; scanf("%d%lf%lf", &H, &AA, &DD); A = (int)(AA * 10); D = (int)(DD * 10); Insert(1, 100, 200, H, A, D); } else { int H1, H2, A1, A2; double AA, BB; scanf("%d%d%lf%lf", &H1, &H2, &AA, &BB); A1 = (int)(AA * 10); A2 = (int)(BB * 10); if(A1 > A2) swap(A1, A2); if(H1 > H2) swap(H1, H2); int ret = query(1, 100, 200, H1, H2, A1, A2); ret != -1 ? printf("%.1f\n", ret/10.0) : puts("-1"); } } } return 0; }
#include<cstdio> #include<cstring> #include<algorithm> #define lson rt<<1 #define rson lson|1 using namespace std; const int inf = 0x3f; const int N = 200; const int M = 1000; double ans; struct IntervalTree2D { double Max[N*4+10][M*4+10], v; int n, m, hleaf, Hrt, h, h1, h2, a, a1, a2; void query1D(int rt, int A1, int A2) { if(a1<=A1 && A2<=a2) { ans = max(ans, Max[Hrt][rt]); return ; } int mid = (A1 + A2)/2; if(mid>=a1) query1D(lson, A1, mid); if(mid<a2) query1D(rson, mid+1, A2); } void query2D(int rt, int H1, int H2) { if(h1<=H1 && H2<=h2) { Hrt = rt; query1D(1, 0, m); return ; } int mid = (H1 + H2)/2; if(mid>=h1) query2D(lson, H1, mid); if(mid<h2) query2D(rson, mid+1, H2); } void modify1D(int rt, int A1, int A2) { if(A1==A2) { if(hleaf==1) { Max[Hrt][rt] = max(v, Max[Hrt][rt]); return ; } Max[Hrt][rt] = max(Max[Hrt<<1][rt], Max[Hrt<<1|1][rt]); return ; } int mid = (A1 + A2)/2; if(mid>= a) modify1D(lson, A1, mid); else modify1D(rson, mid+1, A2); Max[Hrt][rt] = max(Max[Hrt][lson], Max[Hrt][rson]); } void modify2D(int rt, int H1, int H2) { if(H1 == H2) { Hrt = rt; hleaf = 1; modify1D(1, 0, m); return ; } int mid = (H1+H2)/2; if(mid>=h) modify2D(lson, H1, mid); else modify2D(rson, mid+1, H2); Hrt = rt; hleaf = 0; modify1D(1, 0, m); } void query() { ans = -inf; query2D(1, 100, n); } void modify() { modify2D(1, 100, n); } void clear() { for(int i=0; i<=N*4+5; ++i) for(int j=0; j<=1000*4+5; ++j) Max[i][j] = -inf; } }; IntervalTree2D t; int main() { int n; while(~scanf("%d",&n)&&n) { t.clear(); t.n = 200; t.m = 1000; while(n--) { char ch; scanf(" %c", &ch); int h, hh; double a, aa; if(ch=='I') { scanf("%d%lf%lf", &h, &a, &aa); t.h = h; t.a = int(a*10); t.v = aa; t.modify(); } else { scanf("%d%d%lf%lf", &h, &hh, &a, &aa); if(h>hh) swap(h, hh); if(a>aa) swap(a, aa); t.h1 = h; t.h2 = hh; t.a1 = int(a*10); t.a2 = int(aa*10); t.query(); if(ans < 0) printf("-1\n"); else printf("%.1f\n", ans); } } } return 0; }