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  • hdu-3584 Cube---三维树状数组+区域更新单点查询

    题目链接:

    http://acm.hdu.edu.cn/showproblem.php?pid=3584

    题目大意:

    给定一个N*N*N多维数据集A,其元素是0或是1。A[i,j,k]表示集合中第
    i 行,第 j 列与第 k 层的值。

    首先由A[i,j,k] = 0(1 <= i,j,k <= N)。

    给定两个操作:

    1:改变A[i,j,k]为!A[i,j,k]。

    2:查询A[i,j,k]的值。

    解题思路:

    三维树状数组模拟,利用容斥原理

     1 #include<cstdio>
     2 #include<cstring>
     3 #include<iostream>
     4 #include<algorithm>
     5 #include<string>
     6 #include<cmath>
     7 #include<set>
     8 #include<queue>
     9 #include<map>
    10 #include<stack>
    11 #include<vector>
    12 #include<list>
    13 #include<deque>
    14 #include<sstream>
    15 #include<cctype>
    16 #define REP(i, n) for(int i = 0; i < (n); i++)
    17 #define FOR(i, s, t) for(int i = (s); i < (t); i++)
    18 #define MEM(a, x) memset(a, x, sizeof(a));
    19 using namespace std;
    20 typedef long long ll;
    21 typedef unsigned long long ull;
    22 const int maxn = 105;
    23 const double eps = 1e-10;
    24 const int INF = 1 << 30;
    25 const int dir[4][2] = {1,0,0,1,0,-1,-1,0};
    26 const double pi = 3.1415926535898;
    27 int T, n, m, cases;
    28 int tree[maxn][maxn][maxn];
    29 int a[maxn][maxn][maxn];
    30 int lowbit(int x)
    31 {
    32     return x&(-x);
    33 }
    34 int sum(int x, int y, int z)
    35 {
    36     int ans = 0;
    37     for(int i = x; i <= n; i += lowbit(i))
    38         for(int j = y; j <= n; j += lowbit(j))
    39             for(int k = z; k <= n; k += lowbit(k))
    40             ans += tree[i][j][k];
    41     return ans;
    42 }
    43 void add(int x, int y, int z, int d)
    44 {
    45     for(int i = x; i > 0; i -= lowbit(i))
    46         for(int j = y; j > 0; j -= lowbit(j))
    47             for(int k = z; k > 0; k -= lowbit(k))
    48             tree[i][j][k] += d;
    49 }
    50 int main()
    51 {
    52     while(cin >> n >> m)
    53     {
    54         MEM(tree, 0);
    55         MEM(a, 0);
    56         int t, x1, y1, z1, x2, y2, z2;
    57         while(m--)
    58         {
    59             scanf("%d", &t);
    60             if(t)
    61             {
    62                 scanf("%d%d%d%d%d%d", &x1, &y1, &z1, &x2, &y2, &z2);
    63                 add(x2, y2, z2, 1);
    64                 add(x2, y1 - 1, z2, 1);
    65                 add(x1 - 1, y2, z2, 1);
    66                 add(x2, y2, z1 - 1, 1);
    67                 add(x1 - 1, y1 - 1, z2, 1);
    68                 add(x1 - 1, y2, z1 - 1, 1);
    69                 add(x2, y1 - 1, z1 - 1, 1);
    70                 add(x1 - 1, y1 - 1, z1 - 1, 1);
    71             }
    72             else
    73             {
    74                 scanf("%d%d%d", &x1, &y1, &z1);
    75                 cout<<(sum(x1, y1, z1)&1)<<endl;
    76             }
    77         }
    78     }
    79     return 0;
    80 }
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  • 原文地址:https://www.cnblogs.com/fzl194/p/8955263.html
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