• LA3211 Now or later


    题目大意:n架飞机,每架可选择两个着落时间。安排一个着陆时间表,使得着陆间隔的最小值最大。(转自http://blog.csdn.net/u013514182/article/details/42333363)

    每个飞机有两个选择:时间1或时间2,分别用xi和x'表示。最小值最大,考虑二分答案ans;

    对于任意两家飞机x,y,x选择时间k,y选择时间l,如果时间差小于ans,说明1、x选k后y必须不能选l,2、y选l后x必须不能选k

    边开小了,疯狂RE,边居然要开到千万级别。。。竟然出了这么极端的数据专门卡空间。。。出题人真XX

     1 #include <iostream>
     2 #include <cstdio>
     3 #include <cstring>
     4 #include <cstdlib>
     5 #include <algorithm>
     6 #include <queue>
     7 #include <vector>
     8 #include <map>
     9 #include <string> 
    10 #include <cmath> 
    11 #define min(a, b) ((a) < (b) ? (a) : (b))
    12 #define max(a, b) ((a) > (b) ? (a) : (b))
    13 #define abs(a) ((a) < 0 ? (-1 * (a)) : (a))
    14 template<class T>
    15 inline void swap(T &a, T &b)
    16 {
    17     T tmp = a;a = b;b = tmp;
    18 }
    19 inline void read(int &x)
    20 {
    21     x = 0;char ch = getchar(), c = ch;
    22     while(ch < '0' || ch > '9') c = ch, ch = getchar();
    23     while(ch <= '9' && ch >= '0') x = x * 10 + ch - '0', ch = getchar();
    24     if(c == '-') x = -x;
    25 }
    26 const int INF = 0x3f3f3f3f;
    27 const int MAXN = 50000 + 10;
    28 struct Edge
    29 {
    30     int u,v,nxt;
    31     Edge(int _u, int _v, int _nxt){u = _u;v = _v;nxt = _nxt;}
    32     Edge(){}
    33 }edge[20000000];
    34 int head[MAXN], cnt;
    35 inline void insert(int a, int b)
    36 {
    37     edge[++ cnt] = Edge(a, b, head[a]), head[a] = cnt;
    38 }
    39 int n, t[MAXN][2], dfn[MAXN], dfst, low[MAXN], b[MAXN], bb[MAXN], group, belong[MAXN], stack[MAXN], top;
    40 void dfs(int u)
    41 {
    42     b[u] = bb[u] = 1, stack[++ top] = u, dfn[u] = low[u] = ++ dfst;
    43     for(int pos = head[u];pos;pos = edge[pos].nxt)
    44     {
    45         int v = edge[pos].v;
    46         if(!b[v]) dfs(v), low[u] = min(low[v], low[u]);
    47         else if(bb[v]) low[u] = min(low[u], dfn[v]);
    48     }
    49     if(low[u] == dfn[u])
    50     {
    51         ++ group;
    52         int now = -1;
    53         while(now != u)    now = stack[top --], belong[now] = group, bb[now] = 0;
    54     }
    55 }
    56 
    57 void tarjan()
    58 {    
    59     dfst = 0, group = 0, memset(belong, 0, sizeof(belong)), memset(dfn, 0, sizeof(dfn)), memset(low, 0, sizeof(low)), memset(b, 0, sizeof(b)), memset(bb, 0, sizeof(bb));
    60     for(int i = 1;i <= n;++ i) if(!b[i << 1]) dfs(i << 1);
    61     for(int i = 1;i <= n;++ i) if(!b[i << 1 | 1]) dfs(i << 1 | 1);
    62 }
    63 
    64 int check(int m)
    65 {
    66     memset(head, 0, sizeof(head)), cnt = 0;
    67     for(int i = 1;i <= n;++ i)
    68         for(int k = 0;k <= 1;++ k)
    69             for(int j = i + 1;j <= n;++ j)
    70                 for(int l = 0; l <= 1;++ l)    
    71                     if(abs(t[i][k] - t[j][l]) < m)
    72                         insert(i << 1 | k, j << 1 | (l ^ 1)), insert(j << 1 | l, i << 1 | (k ^ 1));
    73     tarjan();
    74     for(int i = 1;i <= n;++ i) if(belong[i << 1] == belong[i << 1 | 1]) return 0;
    75     return 1;
    76 }
    77 
    78 int main()
    79 {
    80     while(scanf("%d", &n) != EOF)
    81     {
    82         int l = 1, r = 0, mid, ans = 0;
    83         for(int i = 1;i <= n;++ i) read(t[i][0]), read(t[i][1]), r = max(r, max(t[i][1], t[i][0]));
    84         while(l <= r)
    85         {
    86             mid = (l + r) >> 1;
    87             if(check(mid)) l = mid + 1, ans = mid;
    88             else r = mid - 1;
    89         } 
    90         printf("%d
    ", ans);
    91     }
    92     return 0;
    93 }
    LA3211
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  • 原文地址:https://www.cnblogs.com/huibixiaoxing/p/8391424.html
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