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  • HDU 2795 Billboard

    题目链接:https://vjudge.net/problem/HDU-2795

    题目大意:

      有一块长度为 H 宽度为 W 的广告牌,现在有 n 则广告要依次贴上去,第 i 则广告的长度为 1 宽度为 w[i],广告要尽量贴得高,其次尽量靠左,求每则广告位于第几行,贴不上就输出-1。

    分析:

      如果广告牌的所有行剩余宽度的最大值大于等于 w[i],那么这个广告肯定能贴在某一行,可以通过二分的方法继续判断以缩小区间,没错,就是最值线段树。

    代码如下:

      1 #pragma GCC optimize("Ofast")
      2 #include <bits/stdc++.h>
      3 using namespace std;
      4  
      5 #define INIT() std::ios::sync_with_stdio(false);std::cin.tie(0);
      6 #define Rep(i,n) for (int i = 0; i < (n); ++i)
      7 #define For(i,s,t) for (int i = (s); i <= (t); ++i)
      8 #define rFor(i,t,s) for (int i = (t); i >= (s); --i)
      9 #define ForLL(i, s, t) for (LL i = LL(s); i <= LL(t); ++i)
     10 #define rForLL(i, t, s) for (LL i = LL(t); i >= LL(s); --i)
     11 #define foreach(i,c) for (__typeof(c.begin()) i = c.begin(); i != c.end(); ++i)
     12 #define rforeach(i,c) for (__typeof(c.rbegin()) i = c.rbegin(); i != c.rend(); ++i)
     13  
     14 #define pr(x) cout << #x << " = " << x << "  "
     15 #define prln(x) cout << #x << " = " << x << endl
     16  
     17 #define LOWBIT(x) ((x)&(-x))
     18  
     19 #define ALL(x) x.begin(),x.end()
     20 #define INS(x) inserter(x,x.begin())
     21  
     22 #define ms0(a) memset(a,0,sizeof(a))
     23 #define msI(a) memset(a,inf,sizeof(a))
     24 #define msM(a) memset(a,-1,sizeof(a))
     25 
     26 #define MP make_pair
     27 #define PB push_back
     28 #define ft first
     29 #define sd second
     30  
     31 template<typename T1, typename T2>
     32 istream &operator>>(istream &in, pair<T1, T2> &p) {
     33     in >> p.first >> p.second;
     34     return in;
     35 }
     36  
     37 template<typename T>
     38 istream &operator>>(istream &in, vector<T> &v) {
     39     for (auto &x: v)
     40         in >> x;
     41     return in;
     42 }
     43  
     44 template<typename T1, typename T2>
     45 ostream &operator<<(ostream &out, const std::pair<T1, T2> &p) {
     46     out << "[" << p.first << ", " << p.second << "]" << "
    ";
     47     return out;
     48 }
     49  
     50 typedef long long LL;
     51 typedef unsigned long long uLL;
     52 typedef pair< double, double > PDD;
     53 typedef pair< int, int > PII;
     54 typedef set< int > SI;
     55 typedef vector< int > VI;
     56 typedef map< int, int > MII;
     57 typedef vector< LL > VL;
     58 typedef vector< VL > VVL;
     59 const double EPS = 1e-10;
     60 const int inf = 1e9 + 9;
     61 const LL mod = 1e9 + 7;
     62 const int maxN = 2e5 + 7;
     63 const LL ONE = 1;
     64 const LL evenBits = 0xaaaaaaaaaaaaaaaa;
     65 const LL oddBits = 0x5555555555555555;
     66 
     67 LL H, W, n; 
     68 LL w[maxN];
     69 
     70 #define lson l , mid , rt << 1 
     71 #define rson mid + 1 , r , rt << 1 | 1
     72 
     73 struct SegmentTree{
     74     int st[maxN << 2];
     75     
     76     inline void pushUp(int rt) {
     77         st[rt] = max(st[rt << 1], st[rt << 1 | 1]);
     78     }
     79     
     80     inline void pushDown(int rt) { }
     81     
     82     inline void build(int l, int r, int rt) {
     83         if(l >= r) {
     84             st[rt] = W;
     85             return;
     86         }
     87         int mid = (l + r) >> 1;
     88         build(lson);
     89         build(rson);
     90         pushUp(rt);
     91     }
     92     
     93     // 查到某一行能容纳 x 就更新 
     94     inline LL queryAndUpdate(LL x, int l, int r, int rt) {
     95         if(st[rt] < x) return -1;
     96         if(l >= r) {
     97             st[rt] -= x;
     98             return r;
     99         }
    100         LL ret = 0;
    101         int mid = (l + r) >> 1;
    102         if(st[rt << 1] >= x) ret = queryAndUpdate(x, lson); // 前面的行优先 
    103         else if(st[rt << 1 | 1] >= x) ret = queryAndUpdate(x, rson);
    104         
    105         pushUp(rt);
    106         return ret;
    107     }
    108 };
    109 SegmentTree segTr;
    110 
    111 int main(){
    112     INIT();
    113     while(cin >> H >> W >> n) {
    114         For(i, 1, n) cin >> w[i];
    115         if(H >= n) H = n; // 行数大于 n 时,只有前 n 行有用 
    116         segTr.build(1, H, 1);
    117         For(i, 1, n) cout << segTr.queryAndUpdate(w[i], 1, H, 1) << endl;
    118     }
    119     return 0;
    120 }
    View Code
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  • 原文地址:https://www.cnblogs.com/zaq19970105/p/10797760.html
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