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UVA - 10895| Time Limit:3000MS | Memory Limit:Unknown | 64bit IO Format:%lld & %llu |
Description
| A: Matrix Transpose |
rows and
columns is said to be an
-by-
matrix. For example,
The individual elements of a matrix are usually given lowercase symbols and are distinguished by subscripts. The
th row and
th column of matrix
is usually referred to as
. For example,
. Matrix subscripts are 1-based.
The transpose of a matrix 
, denoted
, is formed by interchanging the rows and columns of
. That is, the
th element of
is the
th element of
. For example, the transpose of matrix
above is:
A matrix is said to be sparse if there are relatively few non-zero elements. As a
-by-
matrix has 
number of elements, storing all elements of a large sparse matrix may be inefficient as there
would be many zeroes. There are a number of ways to represent sparse matrices, but essentially they are all the same: store only the non-zero elements of the matrix along with their row and column.
You are to write a program to output the transpose of a sparse matrix of integers.
and
(which are the number of rows and columns, respectively, of the matrix). You are then given
sets of numbers, which represent the rows of the matrix. Each set consists of two lines which represents a
row of the matrix. The first line of a set starts with the number
, which is the number of non-zero elements in that row, followed by
numbers which correspond to the column indices of the non-zero elements in that row, in ascending order;
the second line has integers which are the matrix elements of that row. For example, matrix
above would have the following representation:
4 3 3 1 2 3 1 3 2 2 2 3 4 -1 0 3 1 2 3 5 -2 11Note that for a row with all zero elements, the corresponding set would just be one number, `0‘, in the first line, followed by a blank line.
You may assume:
4 3 3 1 2 3 1 3 2 2 2 3 4 -1 0 3 1 2 3 5 -2 11
3 4 2 1 4 1 5 3 1 2 4 3 4 -2 3 1 2 4 2 -1 11
题意：首先给你n*m的矩阵，然后给出每行的情况。第一个数r代表该行有几个非0的数，位置是哪里，然后给出每个位置的值，求矩阵的倒置
思路：用两个vector，一个记录该列有效值所对应的行，还一个记录该位置的值
#include <iostream>
#include <cstring>
#include <algorithm>
#include <cstdio>
#include <vector>
using namespace std;
const int MAXN = 10010;
vector<int> row[MAXN];
vector<int> val[MAXN];
int n, m, arr[MAXN];
void print() {
printf("%d %d\n", m, n);
for (int i = 1; i <= m; i++) {
int len = row[i].size();
printf("%d", len);
for (int j = 0; j < len; j++)
printf(" %d", row[i][j]);
if (len == 0)
printf("\n\n");
else {
printf("\n%d", val[i][0]);
for (int j = 1; j < len; j++)
printf(" %d", val[i][j]);
printf("\n");
}
}
}
int main() {
while (scanf("%d%d", &n ,&m) != EOF) {
for (int i = 0; i < MAXN; i++) {
row[i].clear();
val[i].clear();
}
int r, x;
for (int i = 1; i <= n; i++) {
scanf("%d", &r);
for (int j = 1; j <= r; j++)
scanf("%d", &arr[j]);
for (int j = 1; j <= r; j++) {
scanf("%d", &x);
row[arr[j]].push_back(i);
val[arr[j]].push_back(x);
}
}
print();
}
return 0;
}UVA - 10895 Matrix Transpose,布布扣,bubuko.com
标签：des style blog http color strong
原文地址：http://blog.csdn.net/u011345136/article/details/37885419
