Create minimum-white-tiles-after-covering-with-carpets.cpp

Author: kamyu104

C++/minimum-white-tiles-after-covering-with-carpets.cpp

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+// Time:  O(m * n)
+// Space: O(m * n)
+
+// dp
+class Solution {
+public:
+    int minimumWhiteTiles(string floor, int numCarpets, int carpetLen) {
+        vector<vector<int>> dp(size(floor) + 1, vector<int>(numCarpets + 1));  // dp[i][j] : min number of white tiles in the first i floors with j carpets
+        for (int i = 1; i < size(dp); ++i) {
+            dp[i][0] = dp[i - 1][0] + static_cast<int>(floor[i - 1] == '1');
+            for (int j = 1; j <= numCarpets; ++j) {
+                dp[i][j] = min(dp[i - 1][j] + static_cast<int>(floor[i - 1] == '1'),
+                               dp[max(i - carpetLen, 0)][j - 1]);
+            }
+        }
+        return dp.back().back();
+    }
+};