本来线段树就学的不扎实,后来个什么离散化,乱乱的啊、、后来看了一人写的,用结构体记录的方法进行离散化。感觉写的挺好的。
题意很简单:就是在一堵墙上涂色,然后输出你能看到的颜色的种类。离散化+涂色问题。
Time Limit: 1000MS | Memory Limit: 65536K | |
Total Submissions: 37301 | Accepted: 10846 |
Description
and introduce the following rules:
- Every candidate can place exactly one poster on the wall.
- All posters are of the same height equal to the height of the wall; the width of a poster can be any integer number of bytes (byte is the unit of length in Bytetown).
- The wall is divided into segments and the width of each segment is one byte.
- Each poster must completely cover a contiguous number of wall segments.
They have built a wall 10000000 bytes long (such that there is enough place for all candidates). When the electoral campaign was restarted, the candidates were placing their posters on the wall and their posters differed widely in width. Moreover, the candidates
started placing their posters on wall segments already occupied by other posters. Everyone in Bytetown was curious whose posters will be visible (entirely or in part) on the last day before elections.
Your task is to find the number of visible posters when all the posters are placed given the information about posters' size, their place and order of placement on the electoral wall.
Input
the n lines contains two integer numbers li and ri which are the number of the wall segment occupied by the left end and the right end of the i-th poster, respectively. We know that for each 1 <= i <= n, 1 <= li <= ri <= 10000000. After
the i-th poster is placed, it entirely covers all wall segments numbered li, li+1 ,... , ri.
Output
The picture below illustrates the case of the sample input.
Sample Input
1 5 1 4 2 6 8 10 3 4 7 10
Sample Output
4
Source
#include <algorithm> #include <iostream> #include <stdlib.h> #include <string.h> #include <iomanip> #include <stdio.h> #include <string> #include <queue> #include <cmath> #include <stack> #include <map> #include <set> #define eps 1e-7 #define M 10001000 //#define LL __int64 #define LL long long #define INF 0x3f3f3f3f #define PI 3.1415926535898 const int maxn = 100010; using namespace std; struct node { int l, r; int col; int vis; } f[4*maxn]; struct node1 { int a, n, f; } p[maxn*2]; struct node2 { int l, r, col; } q[maxn]; int used[maxn]; int cmp(node1 a, node1 b) { return a.a < b.a; } void Bulid(int l, int r, int site) { f[site].l = l; f[site].r = r; f[site].col = 0; f[site].vis = 0; if(l == r) return; int mid = (l+r)>>1; Bulid(l, mid, site<<1); Bulid(mid+1, r, site<<1|1); } int Search(int l, int r, int site) { int cum = f[site].col; if(f[site].vis) { if(!used[cum]) { used[cum] = 1; return 1; } else return 0; } int mid = (f[site].l+f[site].r)>>1;//注意这里面的边界,是二分子树。 return Search(l, mid, site<<1)+Search(mid+1, r, site<<1|1); } void Updata(int l, int r, int cnum, int site) { if(f[site].vis && f[site].col == cnum) return; if(f[site].l == l && f[site].r == r) { f[site].col = cnum; f[site].vis = 1; return ; } if(f[site].vis) { f[site<<1].col = f[site<<1|1].col = f[site].col; f[site<<1].vis = f[site<<1|1].vis = f[site].vis; f[site].vis = 0; } int mid = (f[site].l+f[site].r)>>1; if(r <= mid) Updata(l, r, cnum, site<<1); else if(l > mid) Updata(l, r, cnum, site<<1|1); else { Updata(l, mid, cnum, site<<1); Updata(mid+1, r, cnum, site<<1|1); } } int main() { int k; int n; cin >>k; int l, r; while(k--) { scanf("%d",&n); for(int i = 1; i <= n; i++)//离散化 { scanf("%d %d",&l, &r); p[i*2-1].a = l;//保存起始位置 p[i*2-1].n = i; p[i*2-1].f = 0; p[i*2].a = r;//保存结束位置 p[i*2].n = i; p[i*2].f = 1; } sort(p+1, p+n*2+1, cmp); p[0].a = p[1].a; int m = 1, nn, f; for(int i = 1; i <= 2*n; i++) { nn = p[i].n; f = p[i].f; if(p[i].a != p[i-1].a) m++; if(!f) { q[nn].l = m; q[nn].col = nn; } else { q[nn].r = m; q[nn].col = nn; } } Bulid(1,m, 1); for(int i = 1; i <= n; i++) Updata(q[i].l, q[i].r, q[i].col, 1); memset(used, 0 , sizeof(used)); printf("%d\n",Search(1, m, 1)); } return 0; }