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TOJ 3852 Haitang1 三维树状数组

2015-07-14 21:52 447 查看
The portal:http://acm.tju.edu.cn/toj/showp3852.html

Tree Array:

#include <cstdio>
#include <cstring>
#include <cmath>
#include <cstdlib>
#include <iostream>
#include <algorithm>

using namespace std;

int a[45][45][45];

int Insert(int x,int y,int z,int value) {
for(int i = x ; i <= 40 ; i += (i & -i)) {
for(int j = y ; j <= 40 ; j += (j & -j)) {
for(int k = z ; k <= 40 ; k += (k & (-k))){
a[i][j][k] += value;
}
}
}
}

int Query(int x,int y,int z) {
if(x <= 0 || y <= 0 || z <= 0)return 0;
if(x > 40) x = 40;
if(y > 40) y = 40;
if(z > 40) z = 40;
int ret = 0;
for(int i = x ; i ; i -= (i & -i)) {
for(int j = y ; j ; j -=(j & -j)) {
for(int k = z ; k ; k -= (k & (-k))){
ret += a[i][j][k];
}
}
}
return ret;
}

void Deal_with() {
int N,Q;
while(~scanf("%d",&N)) {
memset(a,0,sizeof(a));
int x,y,z,a1,b,value;
for(int i = 0 ; i < N ; i++) {
scanf("%d %d %d %d",&x,&y,&z,&value);
Insert(x,y,z,value);
}
scanf("%d",&Q);
for(int j = 0 ; j < Q ; j++) {
scanf("%d %d %d %d %d",&x,&y,&z,&a1,&b);
int x1,y1,z1,x2,y2,z2;
x1 = x + b; y1 = y + b; z1 = z + b;
x2 = x - b - 1; y2 = y - b - 1;z2 = z - b - 1;

int ans1 =
Query(x1,y1,z1) - Query(x1,y1,z2) - Query(x1,y2,z1) - Query(x2,y1,z1)
+ Query(x2,y1,z2) + Query(x1,y2,z2) + Query(x2,y2,z1) - Query(x2,y2,z2);

x1 = x + a1 - 1; y1 = y + a1 -1; z1 = z + a1 -1;
x2 = x - a1 ; y2 = y - a1;z2 = z - a1;

int ans2 =
Query(x1,y1,z1) - Query(x1,y1,z2) - Query(x1,y2,z1) - Query(x2,y1,z1)
+ Query(x2,y1,z2) + Query(x1,y2,z2) + Query(x2,y2,z1) - Query(x2,y2,z2);
printf("%d\n",ans1-ans2);
}
}
}

int main(void) {
//freopen("a.in","r",stdin);
Deal_with();
return 0;
}
Recursion:

#include <cstdio>
#include <cstring>
#include <cmath>
#include <cstdlib>
#include <iostream>
#include <algorithm>

using namespace std;

int a[45][45][45];

void Pre_deal(int N) {
for(int i = 1 ; i <= N ; i ++) {
for(int j = 1 ; j <= N ; j++) {
for(int k = 1 ; k <= N ; k++) {
a[i][j][k] += a[i][j][k-1] + a[i][j-1][k] + a[i-1][j][k] + a[i-1][j-1][k-1]
- a[i-1][j-1][k] - a[i-1][j][k-1]-a[i][j-1][k-1];
}
}
}
}

void Print(int N) {
for(int i = 1 ; i <= N ; i ++) {
for(int j = 1 ; j <= N ; j++) {
for(int k = 1 ; k <= N ; k++) {
printf("%d ",a[i][j][k]);
}
puts("");
}
puts("\n");
}
}

void Deal_with() {
int N,Q;
while(~scanf("%d",&N)) {
int x,y,z,value,a1,b;
memset(a,0,sizeof(a));
for(int i = 0 ; i < N; i ++) {
scanf("%d %d %d %d",&x,&y,&z,&value);
a[x][y][z] += value;
}
Pre_deal(40);
//Print(4);
scanf("%d",&Q);
int x1,y1,z1,x2,y2,z2;
int ans1,ans2;
for(int i = 1 ; i <= Q ; i++) {
scanf("%d %d %d %d %d",&x,&y,&z,&a1,&b);

x1 = x - b - 1 ; y1 = y - b - 1 ; z1 = z - b -1;
x2 = x + b     ; y2 = y + b ;     z2 = z + b;
if(x1 <  0)x1 =  0; if(z1 <  0)z1 =  0; if(y1 <  0)y1 =  0;
if(x2 > 40)x2 = 40; if(z2 > 40)z2 = 40; if(y2 > 40)y2 = 40;
ans1 =
a[x2][y2][z2] - a[x2][y2][z1] - a[x2][y1][z2] - a[x1][y2][z2]
-a[x1][y1][z1] + a[x1][y1][z2] + a[x2][y1][z1] + a[x1][y2][z1];
x1 = x - a1    ; y1 = y - a1   ; z1 = z - a1 ;
x2 = x + a1  -1; y2 = y + a1 -1; z2 = z + a1 -1;
if(x1 <  0)x1 =  0; if(z1 <  0)z1 =  0; if(y1 <  0)y1 =  0;
if(x2 > 40)x2 = 40; if(z2 > 40)z2 = 40; if(y2 > 40)y2 = 40;
ans2 =
a[x2][y2][z2] - a[x2][y2][z1] - a[x2][y1][z2] - a[x1][y2][z2]
-a[x1][y1][z1] + a[x1][y1][z2] + a[x2][y1][z1] + a[x1][y2][z1];
//printf("%d %d\n",ans1,ans2);
printf("%d\n",ans1-ans2);
}
}
}

int main(void) {
//freopen("a.in","r",stdin);
Deal_with();
return 0;
}
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