2023-09-16 Daily Challenge
Today I have done leetcode's September LeetCoding Challenge with cpp
.
September LeetCoding Challenge 16
Description
Path With Minimum Effort
You are a hiker preparing for an upcoming hike. You are given heights
, a 2D array of size rows x columns
, where heights[row][col]
represents the height of cell (row, col)
. You are situated in the top-left cell, (0, 0)
, and you hope to travel to the bottom-right cell, (rows-1, columns-1)
(i.e., 0-indexed). You can move up, down, left, or right, and you wish to find a route that requires the minimum effort.
A route's effort is the maximum absolute difference in heights between two consecutive cells of the route.
Return the minimum effort required to travel from the top-left cell to the bottom-right cell.
Example 1:
Input: heights = [[1,2,2],[3,8,2],[5,3,5]] Output: 2 Explanation: The route of [1,3,5,3,5] has a maximum absolute difference of 2 in consecutive cells. This is better than the route of [1,2,2,2,5], where the maximum absolute difference is 3.
Example 2:
Input: heights = [[1,2,3],[3,8,4],[5,3,5]] Output: 1 Explanation: The route of [1,2,3,4,5] has a maximum absolute difference of 1 in consecutive cells, which is better than route [1,3,5,3,5].
Example 3:
Input: heights = [[1,2,1,1,1],[1,2,1,2,1],[1,2,1,2,1],[1,2,1,2,1],[1,1,1,2,1]] Output: 0 Explanation: This route does not require any effort.
Constraints:
rows == heights.length
columns == heights[i].length
1 <= rows, columns <= 100
1 <= heights[i][j] <= 106
Solution
auto speedup = []() {
cin.tie(nullptr);
cout.tie(nullptr);
ios::sync_with_stdio(false);
return 0;
}();
using pi = pair<int, int>;
bool vis[100][100];
class Solution {
int rows;
int cols;
int moves[4][2] = {{0, 1}, {1, 0}, {0, -1}, {-1, 0}};
bool verify(vector<vector<int>>& heights, int effort) {
memset(vis, 0, sizeof(vis));
queue<pi> q;
q.push({0, 0});
vis[0][0] = true;
while(q.size()) {
auto [row, col] = q.front();
q.pop();
if(row == rows - 1 && col == cols - 1) return true;
for(int i = 0; i < 4; ++i) {
int newRow = row + moves[i][0];
int newCol = col + moves[i][1];
if(newRow < 0 || newCol < 0 || newRow >= rows || newCol >= cols) continue;
if(vis[newRow][newCol]) continue;
if(abs(heights[newRow][newCol] - heights[row][col]) > effort) continue;
vis[newRow][newCol] = true;
q.push({newRow, newCol});
}
}
return false;
}
public:
int minimumEffortPath(vector<vector<int>>& heights) {
rows = heights.size();
cols = heights.front().size();
int mmin = INT_MAX;
int mmax = INT_MIN;
for(auto &row :heights) {
mmin = min(mmin, *min_element(row.begin(), row.end()));
mmax = max(mmax, *max_element(row.begin(), row.end()));
}
int low = 0;
int high = mmax - mmin;
while(low < high) {
int mid = (low + high) >> 1;
if(!verify(heights, mid)) {
low = mid + 1;
} else {
high = mid;
}
}
return low;
}
};
// Accepted
// 75/75 cases passed (294 ms)
// Your runtime beats 56.19 % of cpp submissions
// Your memory usage beats 43.06 % of cpp submissions (39.2 MB)