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  • ZOJ 2301 Color the Ball (离散化+线段树)

    题意:有从 1 开始递增依次编号的很多球,开始他们都是黑色的,现在依次给出 n 个操作(ai,bi,ci),每个操作都是把编号 ai 到 bi 区间内

    的-所有球涂成 ci 表示的颜色(黑 or 白),然后经过 n 次给定的操作后,求最长的连续白色区间的左端点和右端点。

    析:由于数比较大,可以先进行离散化,然后是区间更新,最后还循环暴力一次,单点求值。

    代码如下:

    #pragma comment(linker, "/STACK:1024000000,1024000000")
    #include <cstdio>
    #include <string>
    #include <cstdlib>
    #include <cmath>
    #include <iostream>
    #include <cstring>
    #include <set>
    #include <queue>
    #include <algorithm>
    #include <vector>
    #include <map>
    #include <cctype>
    #include <cmath>
    #include <stack>
    #include <sstream>
    #define debug() puts("++++");
    #define gcd(a, b) __gcd(a, b)
    #define lson l,m,rt<<1
    #define rson m+1,r,rt<<1|1
    #define freopenr freopen("in.txt", "r", stdin)
    #define freopenw freopen("out.txt", "w", stdout)
    using namespace std;
    
    typedef long long LL;
    typedef unsigned long long ULL;
    typedef pair<int, int> P;
    const int INF = 0x3f3f3f3f;
    const LL LNF = 1e17;
    const double inf = 0x3f3f3f3f3f3f;
    const double PI = acos(-1.0);
    const double eps = 1e-8;
    const int maxn = 2000 + 5;
    const int mod = 1000000007;
    const int dr[] = {-1, 0, 1, 0};
    const int dc[] = {0, 1, 0, -1};
    const char *de[] = {"0000", "0001", "0010", "0011", "0100", "0101", "0110", "0111", "1000", "1001", "1010", "1011", "1100", "1101", "1110", "1111"};
    int n, m;
    const int mon[] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
    const int monn[] = {0, 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
    inline bool is_in(int r, int c){
      return r >= 0 && r < n && c >= 0 && c < m;
    }
    
    struct Node{
      LL l, r;
      int c;
    };
    Node a[maxn];
    vector<LL> v;
    map<LL, int> mp;
    
    int sum[maxn<<4];
    int setv[maxn<<4];
    
    void push_down(int rt){
      if(setv[rt] == -1)  return ;
      setv[rt<<1] = setv[rt];
      setv[rt<<1|1] = setv[rt];
      sum[rt] = setv[rt];
      sum[rt<<1] = setv[rt];
      sum[rt<<1|1] = setv[rt];
      setv[rt] = -1;
    }
    
    void update(int L, int R, int val, int l, int r, int rt){
      if(L <= l && r <= R){
        setv[rt] = val;
        sum[rt] = val;
        return ;
      }
      push_down(rt);
      int m = l + r >> 1;
      if(L <= m)  update(L, R, val, lson);
      if(R > m)  update(L, R, val, rson);
    }
    
    int query(int M, int l, int r, int rt){
      if(l == r)  return sum[rt];
      push_down(rt);
      int m = l + r >> 1;
      if(M <= m)  return query(M, lson);
      return query(M, rson);
    }
    
    int main(){
      while(scanf("%d", &n) == 1){
        v.clear();
        mp.clear();
        char s[5];
        for(int i = 0; i < n; ++i){
          scanf("%d %d %s", &a[i].l, &a[i].r, s);
          a[i].c = s[0] == 'b' ? 0 : 1;
          v.push_back(a[i].l);
          v.push_back(a[i].r);
          v.push_back(a[i].l-1);
          v.push_back(a[i].r-1);
          v.push_back(a[i].l+1LL);
          v.push_back(a[i].r+1LL);
        }
        sort(v.begin(), v.end());
        v.erase(unique(v.begin(), v.end()), v.end());
        for(int i = 0; i < v.size(); ++i)
          mp[v[i]] = i + 1;
        memset(sum, 0, sizeof sum);
        memset(setv, -1, sizeof setv);
        int len = v.size();
        for(int i = 0; i < n; ++i){
          if(a[i].l > a[i].r)  continue;
          update(mp[a[i].l], mp[a[i].r], a[i].c, 1, len, 1);
        }
        LL l = -1, r = -1, ans = 0;
        LL ll = -1, rr = -1;
        for(int i = 0; i < len; ++i){
          if(query(i+1, 1, len, 1)){
            if(ll == -1)  ll = v[i];
            rr = v[i];
            if(ans < rr - ll + 1){
              ans = rr - ll + 1;
              l = ll, r = rr;
            }
            
          }
          else  ll = rr = -1;
        }
    
        if(ans == 0) cout << "Oh, my god
    ";
        else   cout << l << " " << r << endl;
      }
      return 0;
    }
    

      

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  • 原文地址:https://www.cnblogs.com/dwtfukgv/p/7119617.html
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