TOJ 3852 Haitang1 三维树状数组
2015-07-14 21:52
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The portal:http://acm.tju.edu.cn/toj/showp3852.html
Tree Array:
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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