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+|:--------------|:--------------:|:-----------:| +| [Largest square formed in a matrix](https://www.geeksforgeeks.org/problems/largest-square-formed-in-a-matrix0806/1) | [Solution1](), [Solution2](), [Solution3](), [Solution4]() | Medium | \ No newline at end of file diff --git a/Lectures/Lecture_115/Lecture_Codes/largest_square_formed_in_a_matrix_1.cpp b/Lectures/Lecture_115/Lecture_Codes/largest_square_formed_in_a_matrix_1.cpp new file mode 100644 index 0000000..7e2ac98 --- /dev/null +++ b/Lectures/Lecture_115/Lecture_Codes/largest_square_formed_in_a_matrix_1.cpp @@ -0,0 +1,34 @@ +// Gives TLE + +class Solution { + public: + int solve(vector> &mat, int i, int j, int &maxi, int &n, int &m) { + if (i >= n || j >= m) { + return 0; + } + + int right = solve(mat, i, j+1, maxi, n, m); + int diagonal = solve(mat, i+1, j+1, maxi, n, m); + int down = solve(mat, i+1, j, maxi, n, m); + + if (mat[i][j] == 1) { + int ans = 1 + min(right, min(diagonal, down)); + + maxi = max(maxi, ans); + + return ans; + } + else { + return 0; + } + } + + int maxSquare(int n, int m, vector> mat) { + // code here + int maxi = 0; + + solve(mat, 0, 0, maxi, n, m); + + return maxi; + } +}; \ No newline at end of file diff --git a/Lectures/Lecture_115/Lecture_Codes/largest_square_formed_in_a_matrix_2.cpp b/Lectures/Lecture_115/Lecture_Codes/largest_square_formed_in_a_matrix_2.cpp new file mode 100644 index 0000000..6a41bbd --- /dev/null +++ b/Lectures/Lecture_115/Lecture_Codes/largest_square_formed_in_a_matrix_2.cpp @@ -0,0 +1,39 @@ +// Recursion + Memoization + +class Solution { + public: + int solve(vector> &mat, int i, int j, int &maxi, int &n, int &m, vector> &dp) { + if (i >= n || j >= m) { + return 0; + } + + if (dp[i][j] != -1) { + return dp[i][j]; + } + + int right = solve(mat, i, j+1, maxi, n, m, dp); + int diagonal = solve(mat, i+1, j+1, maxi, n, m, dp); + int down = solve(mat, i+1, j, maxi, n, m, dp); + + if (mat[i][j] == 1) { + dp[i][j] = 1 + min(right, min(diagonal, down)); + + maxi = max(maxi, dp[i][j]); + + return dp[i][j]; + } + else { + return dp[i][j] = 0; + } + } + + int maxSquare(int n, int m, vector> mat) { + // code here + vector> dp(n, vector(m ,-1)); + int maxi = 0; + + solve(mat, 0, 0, maxi, n, m, dp); + + return maxi; + } +}; \ No newline at end of file diff --git a/Lectures/Lecture_115/Lecture_Codes/largest_square_formed_in_a_matrix_3.cpp b/Lectures/Lecture_115/Lecture_Codes/largest_square_formed_in_a_matrix_3.cpp new file mode 100644 index 0000000..61e65a6 --- /dev/null +++ b/Lectures/Lecture_115/Lecture_Codes/largest_square_formed_in_a_matrix_3.cpp @@ -0,0 +1,35 @@ +// tabulation method + +class Solution { + public: + int solve(vector> &mat, int &maxi, int &n, int &m) { + + vector> dp(n+1, vector(m+1 ,0)); + + for (int i=n-1; i>=0; i--) { + for (int j=m-1; j>=0; j--) { + int right = dp[i][j+1]; + int diagonal = dp[i+1][j+1]; + int down = dp[i+1][j]; + + if (mat[i][j] == 1) { + dp[i][j] = 1 + min(right, min(diagonal, down)); + maxi = max(maxi, dp[i][j]); + } + else { + dp[i][j] = 0; + } + } + } + return dp[0][0]; + } + + int maxSquare(int n, int m, vector> mat) { + // code here + int maxi = 0; + + solve(mat, maxi, n, m); + + return maxi; + } +}; \ No newline at end of file diff --git a/Lectures/Lecture_115/Lecture_Codes/largest_square_formed_in_a_matrix_4.cpp b/Lectures/Lecture_115/Lecture_Codes/largest_square_formed_in_a_matrix_4.cpp new file mode 100644 index 0000000..28f4d26 --- /dev/null +++ b/Lectures/Lecture_115/Lecture_Codes/largest_square_formed_in_a_matrix_4.cpp @@ -0,0 +1,36 @@ +// space optimization + +class Solution { + public: + int solve(vector> &mat, int &maxi, int &n, int &m) { + vector curr(m+1, 0); + vector next(m+1, 0); + + for (int i=n-1; i>=0; i--) { + for (int j=m-1; j>=0; j--) { + int right = curr[j+1]; + int diagonal = next[j+1]; + int down = next[j]; + + if (mat[i][j] == 1) { + curr[j] = 1 + min(right, min(diagonal, down)); + maxi = max(maxi, curr[j]); + } + else { + curr[j] = 0; + } + } + next = curr; + } + return next[0]; + } + + int maxSquare(int n, int m, vector> mat) { + // code here + int maxi = 0; + + solve(mat, maxi, n, m); + + return maxi; + } +}; \ No newline at end of file

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