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POJ 2528 Mayor's posters(离散+线段树)

题目大意:往一面墙上贴与墙等高的海报,n次贴完后,求可以看见的海报总数(看见一部分也算)

思路:明显的区间维护,用线段树,不过裸的线段树超时超空间,可以把坐标离散,得到不超过200000个有效点,每个点都表示一个小区间(a[i]~a[i+1]这一段),然后就可以轻松地解决了。不过题目有个坑,给定的右坐标其实不是实际坐标,还要+1,区间总数等于有效点数 -1,更新的时候把查找到的右端点-1再代入,具体见代码:

  1 /**********************************************  2 ***    Problem:  3 ***    Author:        JKL  4 ***    University:    CSUST  5 ***    Team:          __Dream  6 ***    Email:          1451108308@QQ.COM  7 ***    My Blog:        http://www.cnblogs.com/jklongint/  8 ***********************************************/  9 //=================================================== 10 #include <iostream> 11 #include <fstream> 12 #include <sstream> 13 #include <iomanip> 14 #include <cstdio> 15 #include <cstdlib> 16 #include <cmath> 17 #include <cassert> 18 #include <numeric> 19 #include <ctime> 20 #include <algorithm> 21 #include <cstring> 22 #include <string> 23 #include <vector> 24 #include <queue> 25 #include <map> 26 #include <stack> 27 #include <list> 28 #include <set> 29 #include <bitset> 30 #include <deque> 31 using namespace std; 32 //--------------------------------------------------- 33 #define mem(a,b) memset(a,b,sizeof(a)) 34 #define GO cout<<"HelloWorld!"<<endl 35 #define Case(x) cout<<"Case "<<x<<":" 36 #define foru(i,n) for(int i=1; i <= n; i++) 37 #define ford(i,n) for(int i = n; i >= 1; i--) 38  #define fin freopen("input.txt","r",stdin); 39  #define fout freopen("output.txt","w",stdout) 40 #define lson  l, m, rt << 1 41 #define rson  m + 1, r, rt << 1 | 1 42  43 #define sqr(a)  ((a)*(a)) 44 #define abs(a) ((a>0)?(a):-(a)) 45 #define pii pair<int,int> 46  47 #define fmax(a,b) max(a,b) 48 #define fmin(a,b) min(a,b) 49 #define fmax3(a,b,c)  (fmax(a,fmax(a,b))) 50 #define fmin3(a,b,c)  (fmin(a,fmin(a,b))) 51  52 #define sfi(x) scanf("%d",&x) 53 #define sfL(x) scanf("%I64d",&x) 54 #define sfc(x) scanf("%c",&x) 55 #define sfd(x) scanf("%lf",&x) 56 #define sfs(x) scanf("%s",x) 57 #define sfii(a,b) scanf("%d%d",&a,&b) 58 #define sfLL(a,b) scanf("%I64d%I64d",&a,&b) 59 #define sfcc(a,b) scanf("%c%c",&a,&b) 60 #define sfdd(a,b) scanf("%lf%lf",&a,&b) 61 #define sfss(a,b) scanf("%s%s",a,b) 62  63 #define pfi(x) printf("%d",x) 64 #define pfL(x) printf("%I64d",x) 65 #define pfs(x) printf("%s",x) 66 #define pfd(x) printf("%lf",x) 67 #define pfc(x) print("%c",x) 68 #define newLine pfs("\n") 69 #define space pfs(" ") 70  71 //-------------------------------------------------------- 72 typedef long long LL; 73 typedef unsigned long long ULL; 74 typedef __int64 __LL; 75 typedef unsigned __int64 __ULL; 76  77 typedef vector<int> vi; 78 typedef vector<LL> vL; 79 typedef vector<string> vs; 80 typedef set<int> si; 81 typedef map<int,int> mii; 82 typedef map<LL,LL> mLL; 83 typedef map<string,int> msi; 84 typedef map<char,int> mci; 85 //-------------------------------------------------------- 86 const int dx[4]={1,-1,0,0}; 87 const int dy[4]={0,0,1,-1}; 88  const int day[13]={0,31,28,31,30,31,30,31,31,30,31,30,31}; 89  const int N6=1000006; 90  const int N5=100006; 91  const int N4=10006; 92  const int N3=1006; 93  const int N2=106; 94  const int N=20009; 95  const int MOD=1000000007; 96  const LL LMAX=0x7fffffffffffffff; 97  const LL IMAX=0x3fffffff; 98  const double PI=3.14159265359; 99 //--------------------------------------------------------100 template< class T > T gcd(T a, T b) { return (b != 0 ? gcd<T>(b, a%b) : a); }101 template< class T > T lcm(T a, T b) { return (a / gcd<T>(a, b) * b); }102 103 //------------------------------------------------------------104 struct TreeNode{105     int  mark;106 };107 //=================================================================108 TreeNode tree[N << 2];109 int T, n, cnt, flag[N], x[N], y[N], a[N], b[N];110 void PushUP(int rt)111 {112     int tl = tree[rt << 1].mark, tr = tree[rt << 1 | 1].mark;113     if(tl != tr || tl == -1) tree[rt].mark = -1;114     else tree[rt].mark = tl;115 }116 void PushDOWN(int rt)117 {118     int rl = rt << 1, rr = rt << 1 | 1;119     if(tree[rt].mark > 0){120         tree[rl].mark = tree[rt].mark;121         tree[rr].mark = tree[rt].mark;122     }123 }124 void build(int l, int r, int rt)125 {126     tree[rt].mark = 0;127     if(l == r)return;128     int m = (l + r) >> 1;129     build(lson);130     build(rson);131 }132 void update(int L, int R, int p, int l, int r, int rt)133 {134     if(L <= l && R >= r){135         tree[rt].mark = p;136         return;137     }138     int m = (l + r) >> 1;139     PushDOWN(rt);140     if(L <= m) update(L, R, p, lson);141     if(R > m) update(L, R, p, rson);142     PushUP(rt);143 }144 int query(int p, int l, int r, int rt)145 {146     if(l == r){147         return tree[rt].mark;148     }149     int m = (l + r) >> 1;150     PushDOWN(rt);151     if(p <= m)return query(p, lson);152     else return query(p, rson);153 }154 void discrete()155 {156     cnt = 0;157     foru(i, n){158         a[++cnt] = x[i];159         a[++cnt] = y[i];160     }161     sort(a + 1, a + 1 + cnt);162     int cc = 0;163     foru(i, cnt){164         if(a[i] != a[i - 1] || i == 1)b[++cc] = a[i];165     }166     cnt = cc;167 }168 int get(int x)169 {170     int l = 1, r = cnt;171     while(l < r){172         int m = (l + r) >> 1;173         if(x < b[m]) r = m - 1;174         if(x == b[m]) return m;175         if(x > b[m]) l = m + 1;176     }177     return l;178 }179 int main()180 {181     //fin;//fout;//freopen("input.txt","r",stdin);182    cin>>T;183    while(T--){184         cin>>n;185         foru(i, n)sfii(x[i], y[i]),y[i]++;186         discrete();187         build(1, cnt - 1, 1);188         foru(i, n){189             int l = get(x[i]), r = get(y[i]) - 1;190             if(r >= l)update(l, r, i, 1, cnt - 1, 1);191         }192         mem(flag, 0);193         int ans = 0;194         foru(i, cnt - 1){195             int c = query(i, 1, cnt - 1, 1);196             if(!flag[c] && c > 0){197                 flag[c] = 1;198                 ans++;199             }200         }201         cout<<ans<<endl;202    }203     return 0;204 }
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