diff options
Diffstat (limited to 'store/works/life/2020-algorithm-contest/code/4.cpp')
| -rw-r--r-- | store/works/life/2020-algorithm-contest/code/4.cpp | 71 | 
1 files changed, 71 insertions, 0 deletions
| diff --git a/store/works/life/2020-algorithm-contest/code/4.cpp b/store/works/life/2020-algorithm-contest/code/4.cpp new file mode 100644 index 0000000..4ee94cb --- /dev/null +++ b/store/works/life/2020-algorithm-contest/code/4.cpp @@ -0,0 +1,71 @@ +#include <iostream> +#include <vector> + +int calc(std::vector<std::vector<int>> &obstacleGrid) +{ + +    int R = obstacleGrid.size(); +    int C = obstacleGrid[0].size(); + +    // If the starting cell has an obstacle, then simply return as there would be +    // no paths to the destination. +    if (obstacleGrid[0][0] == 1) +    { +        return 0; +    } + +    // Number of ways of reaching the starting cell = 1. +    obstacleGrid[0][0] = 1; + +    // Filling the values for the first column +    for (int i = 1; i < R; i++) +    { +        obstacleGrid[i][0] = (obstacleGrid[i][0] == 0 && obstacleGrid[i - 1][0] == 1) ? 1 : 0; +    } + +    // Filling the values for the first row +    for (int i = 1; i < C; i++) +    { +        obstacleGrid[0][i] = (obstacleGrid[0][i] == 0 && obstacleGrid[0][i - 1] == 1) ? 1 : 0; +    } + +    // Starting from cell(1,1) fill up the values +    // No. of ways of reaching cell[i][j] = cell[i - 1][j] + cell[i][j - 1] +    // i.e. From above and left. +    for (int i = 1; i < R; i++) +    { +        for (int j = 1; j < C; j++) +        { +            if (obstacleGrid[i][j] == 0) +            { +                obstacleGrid[i][j] = obstacleGrid[i - 1][j] + obstacleGrid[i][j - 1]; +            } +            else +            { +                obstacleGrid[i][j] = 0; +            } +        } +    } + +    // Return value stored in rightmost bottommost cell. That is the destination. +    return obstacleGrid[R - 1][C - 1]; +} + +int main() +{ +    int row, column, bs; +    std::cin >> row >> column >> bs; + +    std::vector<std::vector<int>> grid(row, std::vector<int>(column, 0)); + +    for (int i = 0; i < bs; i++) +    { +        int r, c; +        std::cin >> r >> c; +        grid[r][c] = 1; +    } + +    std::cout << calc(grid); + +    return 0; +} | 
