feat: add solutions to lc problem: No.3394 (doocs#4297)

Author: rajenderthota

solution/3300-3399/3394.Check if Grid can be Cut into Sections/README.md

@@ -103,25 +103,192 @@ tags:
 #### Python3
 
 ```python
+from typing import List
 
+class Solution:
+    def countLineIntersections(self, coordinates: List[tuple[int, int]]) -> bool:
+        lines = 0
+        overlap = 0
+        for value, marker in coordinates:
+            if marker == 0:
+                overlap -= 1
+            else:
+                overlap += 1
+
+            if overlap == 0:
+                lines += 1
+
+        return lines >= 3
+
+    def checkValidCuts(self, n: int, rectangles: List[List[int]]) -> bool:
+        y_coordinates = []
+        x_coordinates = []
+
+        for rect in rectangles:
+            x1, y1, x2, y2 = rect
+            y_coordinates.append((y1, 1))  # start
+            y_coordinates.append((y2, 0))  # end
+
+            x_coordinates.append((x1, 1))  # start
+            x_coordinates.append((x2, 0))  # end
+
+        # Sort by coordinate value, and for tie, put end (0) before start (1)
+        y_coordinates.sort(key=lambda x: (x[0], x[1]))
+        x_coordinates.sort(key=lambda x: (x[0], x[1]))
+
+        return self.countLineIntersections(y_coordinates) or self.countLineIntersections(x_coordinates)
 ```
 
 #### Java
 
 ```java
-
+class Solution {
+   // Helper class to mimic C++ pair<int, int>
+    static class Pair {
+        int value;
+        int type;
+
+        Pair(int value, int type) {
+            this.value = value;
+            this.type = type;
+        }
+    }
+
+    private boolean countLineIntersections(List<Pair> coordinates) {
+        int lines = 0;
+        int overlap = 0;
+
+        for (Pair coord : coordinates) {
+            if (coord.type == 0) {
+                overlap--;
+            } else {
+                overlap++;
+            }
+
+            if (overlap == 0) {
+                lines++;
+            }
+        }
+
+        return lines >= 3;
+    }
+
+  public boolean checkValidCuts(int n, int[][] rectangles) {
+    List<Pair> yCoordinates = new ArrayList<>();
+    List<Pair> xCoordinates = new ArrayList<>();
+
+    for (int[] rectangle : rectangles) {
+        // rectangle = [x1, y1, x2, y2]
+        yCoordinates.add(new Pair(rectangle[1], 1)); // y1, start
+        yCoordinates.add(new Pair(rectangle[3], 0)); // y2, end
+
+        xCoordinates.add(new Pair(rectangle[0], 1)); // x1, start
+        xCoordinates.add(new Pair(rectangle[2], 0)); // x2, end
+    }
+
+    Comparator<Pair> comparator = (a, b) -> {
+        if (a.value != b.value) return Integer.compare(a.value, b.value);
+        return Integer.compare(a.type, b.type); // End (0) before Start (1)
+    };
+
+    Collections.sort(yCoordinates, comparator);
+    Collections.sort(xCoordinates, comparator);
+
+    return countLineIntersections(yCoordinates) || countLineIntersections(xCoordinates);
+}
+
+}
 ```
 
 #### C++
 
 ```cpp
-
+class Solution {
+#define pii pair<int,int>
+
+    bool countLineIntersections(vector<pii>& coordinates){
+        int lines = 0;
+        int overlap = 0;
+        for(int i=0;i<coordinates.size();++i){
+            if(coordinates[i].second==0)    overlap--;
+            else                            overlap++;
+            if(overlap==0)
+                lines++;
+        }
+        return lines>=3;
+    }
+public:
+    bool checkValidCuts(int n, vector<vector<int>>& rectangles) {
+        vector<pii> y_cordinates,x_cordinates;
+        for(auto& rectangle: rectangles){
+            y_cordinates.push_back(make_pair(rectangle[1],1));
+            y_cordinates.push_back(make_pair(rectangle[3],0));
+            x_cordinates.push_back(make_pair(rectangle[0],1));
+            x_cordinates.push_back(make_pair(rectangle[2],0));
+        }
+        sort(y_cordinates.begin(),y_cordinates.end());
+        sort(x_cordinates.begin(),x_cordinates.end());
+
+        //Line-Sweep on x and y cordinates
+        return (countLineIntersections(y_cordinates) or countLineIntersections(x_cordinates));
+    }
+};
 ```
 
 #### Go
 
 ```go
-
+type Pair struct {
+	val  int
+	typ  int // 1 = start, 0 = end
+}
+
+func countLineIntersections(coords []Pair) bool {
+	lines := 0
+	overlap := 0
+	for _, p := range coords {
+		if p.typ == 0 {
+			overlap--
+		} else {
+			overlap++
+		}
+		if overlap == 0 {
+			lines++
+		}
+	}
+	return lines >= 3
+}
+
+func checkValidCuts(n int, rectangles [][]int) bool {
+	var xCoords []Pair
+	var yCoords []Pair
+
+	for _, rect := range rectangles {
+		x1, y1, x2, y2 := rect[0], rect[1], rect[2], rect[3]
+
+		yCoords = append(yCoords, Pair{y1, 1}) // start
+		yCoords = append(yCoords, Pair{y2, 0}) // end
+
+		xCoords = append(xCoords, Pair{x1, 1})
+		xCoords = append(xCoords, Pair{x2, 0})
+	}
+
+	sort.Slice(yCoords, func(i, j int) bool {
+		if yCoords[i].val == yCoords[j].val {
+			return yCoords[i].typ < yCoords[j].typ // end before start
+		}
+		return yCoords[i].val < yCoords[j].val
+	})
+
+	sort.Slice(xCoords, func(i, j int) bool {
+		if xCoords[i].val == xCoords[j].val {
+			return xCoords[i].typ < xCoords[j].typ
+		}
+		return xCoords[i].val < xCoords[j].val
+	})
+
+	return countLineIntersections(yCoords) || countLineIntersections(xCoords)
+}
 ```
 
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