poj 1195 Mobile phones 二维树状数组

poj 1195 Mobile phones 二维树状数组

Mobile phones

Time Limit: 5000MS		Memory Limit: 65536K
Total Submissions: 7087		Accepted: 3030

Description

Suppose that the fourth generation mobile phone base stations in the Tampere area operate as follows. The area is divided into squares. The squares form an S * S matrix with the rows and columns numbered from 0 to S-1. Each square contains a base station. The number of active mobile phones inside a square can change because a phone is moved from a square to another or a phone is switched on or off. At times, each base station reports the change in the number of active phones to the main base station along with the row and the column of the matrix.

Write a program, which receives these reports and answers queries about the current total number of active mobile phones in any rectangle-shaped area.

Input

The input is read from standard input as integers and the answers to the queries are written to standard output as integers. The input is encoded as follows. Each input comes on a separate line, and consists of one instruction integer and a number of parameter integers according to the following table.

The values will always be in range, so there is no need to check them. In particular, if A is negative, it can be assumed that it will not reduce the square value below zero. The indexing starts at 0, e.g. for a table of size 4 * 4, we have 0 <= X <= 3 and 0 <= Y <= 3.

Table size: 1 * 1 <= S * S <= 1024 * 1024
Cell value V at any time: 0 <= V <= 32767
Update amount: -32768 <= A <= 32767
No of instructions in input: 3 <= U <= 60002
Maximum number of phones in the whole table: M= 2^30

Output

Your program should not answer anything to lines with an instruction other than 2. If the instruction is 2, then your program is expected to answer the query by writing the answer as a single line containing a single integer to standard output.

Sample Input

0 4
1 1 2 3
2 0 0 2 2
1 1 1 2
1 1 2 -1
2 1 1 2 3
3

Sample Output

3
4

Source

IOI 2001

一维树状数组用一维数组来存储部分元素的和，二维树状数组只需用二维数组来存储即可，获得和，修正的函数同一维数组差别不大。

/**/ /*Source Code

Problem: 1195  User: y09 
Memory: 4956K  Time: 579MS 
Language: C++  Result: Accepted 

Source Code */
#include  < stdio.h >
const   int  MAX = 1200 ;
int  c[MAX][MAX];
int  n;
int  LowBit( int  t)
{
    return t&(t^(t-1));
}

int  Sum( int  endx, int  endy)
{
    int sum=0;
    int temp=endy;
    while(endx>0)
    {
        endy=temp;//注意记录endy的值，本人在此出错，找半天错误不得
        while (endy>0)
        {
            sum+=c[endx][endy];
            endy-=LowBit(endy);
        }
        
        endx-=LowBit(endx);
    }
    return sum;
}
void  plus( int  posx, int  posy, int  num)
{
    int temp=posy;
    while (posx <=n)
    {
        posy=temp;
        while(posy<=n)
        {
            c[posx][posy]+=num;
            posy+=LowBit(posy);
        }
        posx+=LowBit(posx);
    }
}
int  GetSum( int  l, int  b, int  r, int  t)
{
    return Sum(r,t)-Sum(r,b-1)-Sum(l-1,t)+Sum(l-1,b-1);
}
int  main()
{
    int I;
    int x,y,a;
    int l,b,r,t;
    while(scanf("%d",&I))
    {
        switch (I)
        {
        case 0:
            scanf("%d",&n);
            break;
        case 1:
            scanf("%d%d%d",&x,&y,&a);
            plus(x+1,y+1,a);
            break;
        case 2:
            scanf("%d%d%d%d",&l,&b,&r,&t);
            printf("%d\n",GetSum(l+1,b+1,r+1,t+1));
            break;
        case 3:
            return 0;
            
        }
    }
    
    return 0;
}