题意:给你一个N*N的矩阵,每一个点有一个权值,询问子矩阵中最大值与最小值的差
分析:感觉没啥好说的,这是一个显然的二维RMQ问题,把模版一套,AC!要注意的就是如果数组开int会爆内存,所以用short把!很奇怪的是这道题很水,暴力也可以过,真是见了鬼了!
二维ST算法
#include <map> #include <set> #include <stack> #include <cmath> #include <queue> #include <bitset> #include <string> #include <vector> #include <cstdio> #include <cctype> #include <cstdlib> #include <sstream> #include <cstring> #include <iostream> #include <algorithm> #pragma comment(linker, "/STACK:1024000000,1024000000") using namespace std; #define clr(x,y) memset(x,y,sizeof(x)) #define maxn 250+5 #define lson l,m,rt<<1 #define rson m+1,r,rt<<1|1 #define IT iterator typedef long long ll; const double eps = 1e-9; const double pi = acos(-1); const ll mod = 1e9+7; short num[maxn][maxn]; short maxx[maxn][maxn][8][8]; short minn[maxn][maxn][8][8]; void rmq(int n,int m) { for(int i=1;i<=n;i++) for(int j=1;j<=n;j++) maxx[i][j][0][0]=minn[i][j][0][0]=num[i][j]; for(int i=0;i<8;i++) for(int j=0;j<8;j++) { if(i==0&&j==0)continue; for(int p=1;p+(1<<i)-1<=n;p++) for(int q=1;q+(1<<j)-1<=n;q++) if(i==0) { maxx[p][q][i][j]=max(maxx[p][q][i][j-1],maxx[p][q+(1<<j-1)][i][j-1]); minn[p][q][i][j]=min(minn[p][q][i][j-1],minn[p][q+(1<<j-1)][i][j-1]); } else { maxx[p][q][i][j]=max(maxx[p][q][i-1][j],maxx[p+(1<<i-1)][q][i-1][j]); minn[p][q][i][j]=min(minn[p][q][i-1][j],minn[p+(1<<i-1)][q][i-1][j]); } } } int query(int a,int b,int p,int q) { int kr=(int)(log(p-a+1.0)/log(2.0)); int kc=(int)(log(q-b+1.0)/log(2.0)); short mi=minn[a][b][kr][kc]; mi=min(mi,minn[p-(1<<kr)+1][b][kr][kc]); mi=min(mi,minn[a][q-(1<<kc)+1][kr][kc]); mi=min(mi,minn[p-(1<<kr)+1][q-(1<<kc)+1][kr][kc]); short ma=maxx[a][b][kr][kc]; ma=max(ma,maxx[p-(1<<kr)+1][b][kr][kc]); ma=max(ma,maxx[a][q-(1<<kc)+1][kr][kc]); ma=max(ma,maxx[p-(1<<kr)+1][q-(1<<kc)+1][kr][kc]); return ma-mi; } int main() { int n,b,k; while(~scanf("%d %d %d",&n,&b,&k)) { for(int i=1;i<=n;i++) for(int j=1;j<=n;j++) scanf("%d",&num[i][j]); rmq(n,n); while(k--) { int p,q; scanf("%d %d",&p,&q); printf("%d\n",query(p,q,p+b-1,q+b-1)); } } return 0; }
#include <map> #include <set> #include <stack> #include <cmath> #include <queue> #include <bitset> #include <string> #include <vector> #include <cstdio> #include <cctype> #include <cstdlib> #include <sstream> #include <cstring> #include <iostream> #include <algorithm> #pragma comment(linker, "/STACK:1024000000,1024000000") using namespace std; #define clr(x,y) memset(x,y,sizeof(x)) #define maxn 250+5 #define lson l,m,rt<<1 #define rson m+1,r,rt<<1|1 #define IT iterator typedef long long ll; const double eps = 1e-9; const double pi = acos(-1); const ll mod = 1e9+7; int num[maxn][maxn]; int main() { int n,b,k; while(~scanf("%d %d %d",&n,&b,&k)) { for(int i=1;i<=n;i++) for(int j=1;j<=n;j++) scanf("%d",&num[i][j]); while(k--) { int minn=251,maxx=-1; int p,q; scanf("%d %d",&p,&q); for(int i=p;i<p+b;i++) for(int j=q;j<q+b;j++) { minn=min(minn,num[i][j]); maxx=max(maxx,num[i][j]); } printf("%d\n",maxx-minn); } } return 0; }