题目链接:acm.hdu.edu.cn/showproblem.php?pid=5671
Matrix
Time Limit: 3000/1500 MS (Java/Others) Memory Limit: 131072/131072 K (Java/Others)
Total Submission(s): 891 Accepted Submission(s): 371
Problem Description
There is a matrix M that
has n rows
and m columns (1≤n≤1000,1≤m≤1000).Then
we perform q(1≤q≤100,000) operations:
1 x y: Swap row x and row y (1≤x,y≤n);
2 x y: Swap column x and column y (1≤x,y≤m);
3 x y: Add y to all elements in row x (1≤x≤n,1≤y≤10,000);
4 x y: Add y to all elements in column x (1≤x≤m,1≤y≤10,000);
Input
There are multiple test cases. The first line of input contains an integer T(1≤T≤20) indicating
the number of test cases. For each test case:
The first line contains three integers n, m and q.
The following n lines
describe the matrix M.(1≤Mi,j≤10,000) for
all (1≤i≤n,1≤j≤m).
The following q lines
contains three integers a(1≤a≤4), x and y.
Output
For each test case, output the matrix M after
all q operations.
Sample Input
2 3 4 2 1 2 3 4 2 3 4 5 3 4 5 6 1 1 2 3 1 10 2 2 2 1 10 10 1 1 1 2 2 1 2
Sample Output
12 13 14 15 1 2 3 4 3 4 5 6 1 10 10 1 Hint Recommand to use scanf and printf
Source
题目大意:
有一个nn行mm列的矩阵(1 \leq n \leq 1000 ,1 \leq m \leq 1000 )(1≤n≤1000,1≤m≤1000),在这个矩阵上进行qq (1 \leq q \leq 100,000)(1≤q≤100,000) 个操作: 1 x y: 交换矩阵MM的第xx行和第yy行(1 \leq x,y \leq n)(1≤x,y≤n); 2 x y: 交换矩阵MM的第xx列和第yy列(1 \leq x,y \leq m)(1≤x,y≤m); 3 x y: 对矩阵MM的第xx行的每一个数加上y(1 \leq x \leq n,1 \leq y \leq 10,000)y(1≤x≤n,1≤y≤10,000); 4 x y: 对矩阵MM的第xx列的每一个数加上y(1 \leq x \leq m,1 \leq y \leq 10,000)y(1≤x≤m,1≤y≤10,000);对于每组数据,输出经过所有q个操作之后的矩阵M。
解题思路:如果单纯进行模拟的话,数据量比较大,所以采用标记的方式。分别记录当前状态下每一行、每一列是原始数组的哪一行、哪一列即可。对每一行、每一列加一个数的操作,也可以两个数组分别记录。注意当交换行、列的同时,也要交换增量数组。输出时通过索引找到原矩阵中的值,再加上行、列的增量。
详见代码。
#include <iostream> #include <cstdio> #include <cstring> using namespace std; int Map[1010][1010],a; int h[1010],l[1010],dh[1010],dl[1010]; int main() { int T; scanf("%d",&T); while (T--) { memset(dh,0,sizeof(dh)); memset(dl,0,sizeof(dl)); int n,m,q; scanf("%d%d%d",&n,&m,&q); for (int i=1; i<=n; i++) { for (int j=1; j<=m; j++) { scanf("%d",&Map[i][j]); h[i]=i; l[j]=j; } } for (int i=0; i<q; i++) { int a,x,y; scanf("%d%d%d",&a,&x,&y); if(a==1) { swap(h[x],h[y]); swap(dh[x],dh[y]);//交换要加的数字 } else if(a==2) { swap(l[x],l[y]); swap(dl[x],dl[y]); } else if(a==3) { dh[x]+=y; } else if(a==4) { dl[x]+=y; } } for (int i=1; i<=n; i++) { for (int j=1; j<m; j++) printf ("%d ",Map[h[i]][l[j]]+dh[i]+dl[j]); printf ("%d\n",Map[h[i]][l[m]]+dh[i]+dl[m]); } } return 0; }