1.孤岛的总面积
1.1 题目
101. 孤岛的总面积
1.2 题解
#include <iostream>
#include <vector>
#include <queue>
#include <list>
using namespace std;
int dir[4][2] = { 0,1,1,0,-1,0,0,-1 };
int count;
void dfs(vector<vector<int>>& grid, int x, int y)
{
grid[x][y] = 0;
count++;
for (int i = 0; i < 4; i++)
{
int nextx = x + dir[i][0];
int nexty = y + dir[i][1];
//超过边界不考虑
if (nextx < 0 || nextx >= grid.size() || nexty < 0 || nexty >= grid[0].size())continue;
if (grid[nextx][nexty] == 0)continue;
dfs(grid, nextx, nexty);
}
}
int main()
{
int n, m;
cin >> n >> m;
vector<vector<int>> grid(n, vector<int>(m, 0));
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
cin >> grid[i][j];
}
}
for (int i = 0; i < n; i++)
{
if (grid[i][0] == 1)dfs(grid, i, 0);
if (grid[i][m - 1] == 1)dfs(grid, i, m - 1);
}
for (int i = 0; i < m; i++)
{
if (grid[0][i] == 1)dfs(grid, 0, i);
if (grid[n - 1][i] == 1)dfs(grid, n - 1, i);
}
count = 0;
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
if (grid[i][j] == 1)dfs(grid, i, j);
}
}
cout << count << endl;
}
2.沉没孤岛
2.1 题目
102. 沉没孤岛
2.2 题解
#include <iostream>
#include <vector>
#include <queue>
#include <list>
using namespace std;
int dir[4][2] = { 0,1,1,0,-1,0,0,-1 };
void dfs(vector<vector<int>>& grid, int x, int y)
{
grid[x][y] = 2;
for (int i = 0; i < 4; i++)
{
int nextx = x + dir[i][0];
int nexty = y + dir[i][1];
//超过边界不考虑
if (nextx < 0 || nextx >= grid.size() || nexty < 0 || nexty >= grid[0].size())continue;
if (grid[nextx][nexty] == 0||grid[nextx][nexty]==2)continue;
dfs(grid, nextx, nexty);
}
}
int main()
{
int n, m;
cin >> n >> m;
vector<vector<int>> grid(n, vector<int>(m, 0));
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
cin >> grid[i][j];
}
}
for (int i = 0; i < n; i++)
{
if (grid[i][0] == 1)dfs(grid, i, 0);
if (grid[i][m - 1] == 1)dfs(grid, i, m - 1);
}
for (int i = 0; i < m; i++)
{
if (grid[0][i] == 1)dfs(grid, 0, i);
if (grid[n - 1][i] == 1)dfs(grid, n - 1, i);
}
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
if (grid[i][j] == 1)grid[i][j]=0;
if (grid[i][j] == 2)grid[i][j] = 1;
}
}
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
cout << grid[i][j] << " ";
}
cout << endl;
}
}
3.水流问题
3.1 题目
103. 水流问题
3.2 题解
#include <iostream>
#include <vector>
#include <queue>
#include <list>
using namespace std;
int dir[4][2] = { 0,1,1,0,-1,0,0,-1 };
void dfs(const vector<vector<int>>& grid, vector<vector<bool>>& border, int x, int y)
{
if (border[x][y])return;
border[x][y] = true;
for (int i = 0; i < 4; i++)
{
int curx = x + dir[i][0];
int cury = y + dir[i][1];
//如果越界跳过
if (curx < 0 || curx >= grid.size() || cury < 0 || cury >= grid[0].size())continue;
//逆序
if (grid[curx][cury] < grid[x][y])continue;
dfs(grid,border,curx,cury);
}
}
int main()
{
int n, m;
cin >> n >> m;
vector<vector<int>> grid(n, vector<int>(m, 0));
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
cin >> grid[i][j];
}
}
//标记第一组边界上的节点出发,可以遍历的节点
vector<vector<bool>> firstborder(n, vector<bool>(m, false));
//标记第二组边界上的节点出发,可以遍历的节点
vector<vector<bool>> secondborder(n, vector<bool>(m, false));
for (int i = 0; i < n; i++)
{
//从最左边开始,逆序遍历
dfs(grid, firstborder, i, 0);
//从最右边开始,逆序遍历
dfs(grid, secondborder, i, m-1);
}
for (int i = 0; i < m; i++)
{
//从最上边开始,逆序遍历
dfs(grid, firstborder, 0, i);
//从最下边开始,逆序遍历
dfs(grid, secondborder, n - 1, i);
}
//打印结果
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
if(firstborder[i][j]&&secondborder[i][j])
{
cout << i << " " << j << endl;
}
}
}
}