leetcode unique path I&&II
I
动态规划,一次性构造,查询。采用回溯法会超时
class Solution {
public:
int grid[100][100];
int uniquePaths(int m, int n)
{
if(grid[m-1][n-1]==0) construct();
return grid[m-1][n-1];
}
void construct()
{
grid[0][0]=1;
for(int i=1;i<100;i++)
{
grid[i][0]=1;
}
for(int i=1;i<100;i++)
{
grid[0][i]=1;
}
for(int i=1;i<100;i++)
{
for(int j=1;j<=i;j++)
{
grid[i][j]=grid[i][j-1]+grid[i-1][j];
grid[j][i]=grid[i][j];
}
}
}
};
II
有障碍物的情况
class Solution {
public:
int grid[100][100];
int uniquePathsWithObstacles(vector<vector<int> > &obstacleGrid)
{
int m=obstacleGrid.size();
if(m==0)return 0;
int n=obstacleGrid[0].size();
for(int i=0;i<m;i++)
{
for(int j=0;j<n;j++)
grid[i][j]=0;
}
if(!obstacleGrid[0][0])
grid[0][0]=1;
for(int i=1;i<m;i++)
{
if(!obstacleGrid[i][0])
grid[i][0]=grid[i-1][0];
}
for(int i=1;i<n;i++)
{
if(!obstacleGrid[0][i])
grid[0][i]=grid[0][i-1];
}
for(int i=1;i<m;i++)
{
for(int j=1;j<n;j++)
{
if(!obstacleGrid[i][j])
{
grid[i][j]+=grid[i-1][j]+grid[i][j-1];
}
}
}
return grid[m-1][n-1];
}
};
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