hdu 3584 Cube (三维树状数组)

Cube

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 131072/65536 K (Java/Others)
Total Submission(s): 1307    Accepted Submission(s): 674

Problem Description

Given an N*N*N cube A, whose elements are either 0 or 1. A[i, j, k] means the number in the i-th row , j-th column and k-th layer. Initially we have A[i, j, k] = 0 (1 <= i, j, k <= N). 
We define two operations, 1: “Not” operation that we change the A[i, j, k]=!A[i, j, k]. that means we change A[i, j, k] from 0->1,or 1->0. (x1<=i<=x2,y1<=j<=y2,z1<=k<=z2).
0: “Query” operation we want to get the value of A[i, j, k].

 

 

Input

Multi-cases.
First line contains N and M, M lines follow indicating the operation below.
Each operation contains an X, the type of operation. 1: “Not” operation and 0: “Query” operation.
If X is 1, following x1, y1, z1, x2, y2, z2.
If X is 0, following x, y, z.

 

 

Output

For each query output A[x, y, z] in one line. (1<=n<=100 sum of m <=10000)

 

 

Sample Input

2 5

1 1 1 1 1 1 1

0 1 1 1

1 1 1 1 2 2 2

0 1 1 1

0 2 2 2

 

 

Sample Output

1

0

1

 

 

Author

alpc32

 

 

Source

2010 ACM-ICPC Multi-University Training Contest（15）——Host by NUDT

 

 

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//203MS    4784K    1280 B    G++
/*

    题意和原理都和poj 的2155 差不多，这题多了一维而已。 

*/
#include<stdio.h>
#include<string.h>
#define N 105
int c[N][N][N];
int lowbit(int i)
{
    return i&(-i);
}
int update(int x,int y,int z)
{
    int s=0;
    for(int i=x;i<N;i+=lowbit(i))
        for(int j=y;j<N;j+=lowbit(j))
            for(int k=z;k<N;k+=lowbit(k))
                s+=c[i][j][k];
    return s%2;
}
void getsum(int x,int y,int z)
{
    for(int i=x;i>0;i-=lowbit(i))
        for(int j=y;j>0;j-=lowbit(j))
            for(int k=z;k>0;k-=lowbit(k))
                c[i][j][k]^=1;
}
int main(void)
{
    int n,m;
    int op,x1,x2,y1,y2,z1,z2;
    while(scanf("%d%d",&n,&m)!=EOF)
    {
        memset(c,0,sizeof(c));
        while(m--){
            scanf("%d",&op);
            if(op==0){
                scanf("%d%d%d",&x1,&y1,&z1);
                printf("%d\n",update(x1,y1,z1));
            }else if(op==1){
                scanf("%d%d%d%d%d%d",&x1,&y1,&z1,&x2,&y2,&z2);
                getsum(x1-1,y1-1,z1-1);
                getsum(x1-1,y1-1,z2);
                getsum(x1-1,y2,z1-1);
                getsum(x2,y1-1,z1-1);
                getsum(x2,y1-1,z2);
                getsum(x1-1,y2,z2);
                getsum(x2,y2,z1-1);
                getsum(x2,y2,z2);
            }
        }
    }
    return 0;
}