Mosaic

1
3
1 2 3
4 5 6
7 8 9
5
2 2 1
3 2 3
1 1 3
1 2 3
2 2 3

Case #1:
5
6
3
4
6

//1859MS	50772K
#include<stdio.h>
#include<algorithm>
#define M 1007
#define eps 1e-4
#define inf 0x3f3f3f3f
using namespace std;
int lx[M],ly[M];
int n;
struct Sub_Tree
{
    int left,right,minn,maxx;
    int mid(){return (left+right)>>1;}
};
struct Tree
{
    int left,right;
    int mid(){return (left+right)>>1;}
    Sub_Tree subtree[4*M];
}tree[M*4];

void build_subtree(int l,int r,int i,int fa)
{
    tree[fa].subtree[i].left=l;
    tree[fa].subtree[i].right=r;
    tree[fa].subtree[i].minn=inf;
    tree[fa].subtree[i].maxx=-inf;
    if(l==r){ly[l]=i;return;}
    int mid=(l+r)>>1;
    build_subtree(l,mid,i<<1,fa);
    build_subtree(mid+1,r,(i<<1)|1,fa);
}

void build(int l,int r,int i)
{
    tree[i].left=l;tree[i].right=r;
    build_subtree(1,n,1,i);
    if(l==r){lx[l]=i;return;}
    int mid=(l+r)>>1;
    build(l,mid,i<<1);
    build(mid+1,r,(i<<1)|1);
}

void update(int x,int y,int val)
{
    int xx=lx[x];
    int yy=ly[y];
    tree[xx].subtree[yy].minn=tree[xx].subtree[yy].maxx=val;
    for(int i=xx;i;i>>=1)
        for(int j=yy;j;j>>=1)
        {
            if(i==xx&&j==yy)continue;
            if(j==yy)
            {
                tree[i].subtree[j].minn=min(tree[i<<1].subtree[j].minn,tree[(i<<1)|1].subtree[j].minn);
                tree[i].subtree[j].maxx=max(tree[i<<1].subtree[j].maxx,tree[(i<<1)|1].subtree[j].maxx);
            }
            else
            {
                tree[i].subtree[j].minn=min(tree[i].subtree[j<<1].minn,tree[i].subtree[(j<<1)|1].minn);
                tree[i].subtree[j].maxx=max(tree[i].subtree[j<<1].maxx,tree[i].subtree[(j<<1)|1].maxx);
            }
        }
}

int query_subtree_min(int a1,int a2,int i,int fa)
{
    if(tree[fa].subtree[i].left==a1&&tree[fa].subtree[i].right==a2)return tree[fa].subtree[i].minn;
    int mid=tree[fa].subtree[i].mid();
    if(a2<=mid)return query_subtree_min(a1,a2,i<<1,fa);
    else if(mid<a1)return query_subtree_min(a1,a2,(i<<1)|1,fa);
    else return min(query_subtree_min(a1,mid,i<<1,fa),query_subtree_min(mid+1,a2,(i<<1)|1,fa));
}

int query_min(int x1,int x2,int y1,int y2,int i)
{
    if(tree[i].left==x1&&tree[i].right==x2)return query_subtree_min(y1,y2,1,i);
    int mid=tree[i].mid();
    if(x2<=mid)return query_min(x1,x2,y1,y2,i<<1);
    else if(mid<x1)return query_min(x1,x2,y1,y2,(i<<1)|1);
    else return min(query_min(x1,mid,y1,y2,i<<1),query_min(mid+1,x2,y1,y2,(i<<1)|1));
}

int query_subtree_max(int a1,int a2,int i,int fa)
{
    if(tree[fa].subtree[i].left==a1&&tree[fa].subtree[i].right==a2)return tree[fa].subtree[i].maxx;
    int mid=tree[fa].subtree[i].mid();
    if(a2<=mid)return query_subtree_max(a1,a2,i<<1,fa);
    else if(mid<a1)return query_subtree_max(a1,a2,(i<<1)|1,fa);
    else return max(query_subtree_max(a1,mid,i<<1,fa),query_subtree_max(mid+1,a2,(i<<1)|1,fa));
}

int query_max(int x1,int x2,int y1,int y2,int i)
{
    if(tree[i].left==x1&&tree[i].right==x2)return query_subtree_max(y1,y2,1,i);
    int mid=tree[i].mid();
    if(x2<=mid)return query_max(x1,x2,y1,y2,i<<1);
    else if(mid<x1)return query_max(x1,x2,y1,y2,(i<<1)|1);
    else return max(query_max(x1,mid,y1,y2,i<<1),query_max(mid+1,x2,y1,y2,(i<<1)|1));
}

int main()
{
    int t,cas=1;
    scanf("%d",&t);
    while(t--)
    {
       int m,a,x,y,r;
       scanf("%d",&n);
       build(1,n,1);
       for(int i=1;i<=n;i++)
            for(int j=1;j<=n;j++)
            {
                scanf("%d",&a);
                update(i,j,a);
            }
        printf("Case #%d:\n",cas++);
        scanf("%d",&m);
        while(m--)
        {
            scanf("%d%d%d",&x,&y,&r);
            int x1=max(1,x-r/2);
            int x2=min(n,x+r/2);
            int y1=max(1,y-r/2);
            int y2=min(n,y+r/2);
            int maxx=query_max(x1,x2,y1,y2,1);
            int minn=query_min(x1,x2,y1,y2,1);
            int ans=(minn+maxx)>>1;
            printf("%d\n",ans);
            update(x,y,ans);
        }
    }
    return 0;
}

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