add 1401

fishercoder1534 · fishercoder1534 · commit c0e32e43f5db · 2020-04-04T09:38:56.000-07:00
diff --git a/README.md b/README.md
@@ -8,6 +8,7 @@ _If you like this project, please leave me a star._ &#9733;
 
 |  #  |      Title     |   Solutions   | Video  | Difficulty  | Tag                   
 |-----|----------------|---------------|--------|-------------|-------------
+|1401|[Circle and Rectangle Overlapping](https://leetcode.com/problems/circle-and-rectangle-overlapping/)|[Solution](../master/src/main/java/com/fishercoder/solutions/_1401.java) | |Medium|Geometry|
 |1400|[Construct K Palindrome Strings](https://leetcode.com/problems/construct-k-palindrome-strings/)|[Solution](../master/src/main/java/com/fishercoder/solutions/_1400.java) | |Medium|Greedy|
 |1399|[Count Largest Group](https://leetcode.com/problems/count-largest-group/)|[Solution](../master/src/main/java/com/fishercoder/solutions/_1399.java) | |Easy|Array|
 |1396|[Design Underground System](https://leetcode.com/problems/design-underground-system/)|[Solution](../master/src/main/java/com/fishercoder/solutions/_1396.java) | |Medium|Design|
diff --git a/src/main/java/com/fishercoder/solutions/_1401.java b/src/main/java/com/fishercoder/solutions/_1401.java
@@ -0,0 +1,70 @@
+package com.fishercoder.solutions;
+
+/**
+ * 1401. Circle and Rectangle Overlapping
+ *
+ * Given a circle represented as (radius, x_center, y_center) and an axis-aligned rectangle represented as (x1, y1, x2, y2), where (x1, y1) are the coordinates of the bottom-left corner, and (x2, y2) are the coordinates of the top-right corner of the rectangle.
+ * Return True if the circle and rectangle are overlapped otherwise return False.
+ * In other words, check if there are any point (xi, yi) such that belongs to the circle and the rectangle at the same time.
+ *
+ * Example 1:
+ * Input: radius = 1, x_center = 0, y_center = 0, x1 = 1, y1 = -1, x2 = 3, y2 = 1
+ * Output: true
+ * Explanation: Circle and rectangle share the point (1,0)
+ *
+ * Example 2:
+ * Input: radius = 1, x_center = 0, y_center = 0, x1 = -1, y1 = 0, x2 = 0, y2 = 1
+ * Output: true
+ *
+ * Example 3:
+ * Input: radius = 1, x_center = 1, y_center = 1, x1 = -3, y1 = -3, x2 = 3, y2 = 3
+ * Output: true
+ *
+ * Example 4:
+ * Input: radius = 1, x_center = 1, y_center = 1, x1 = 1, y1 = -3, x2 = 2, y2 = -1
+ * Output: false
+ *
+ * Constraints:
+ * 1 <= radius <= 2000
+ * -10^4 <= x_center, y_center, x1, y1, x2, y2 <= 10^4
+ * x1 < x2
+ * y1 < y2
+ * */
+public class _1401 {
+    public static class Solution1 {
+        public boolean checkOverlap(int radius, int xCenter, int yCenter, int x1, int y1, int x2, int y2) {
+            if (x1 <= xCenter && x2 >= xCenter && y1 <= yCenter && y2 >= yCenter) {
+                return true;
+            }
+            int circleDistance = radius * radius;
+            for (int x = x1; x <= x2; x++) {
+                if (dist(x, y1, xCenter, yCenter) <= circleDistance) {
+                    return true;
+                }
+            }
+
+            for (int x = x1; x <= x2; x++) {
+                if (dist(x, y2, xCenter, yCenter) <= circleDistance) {
+                    return true;
+                }
+            }
+
+            for (int y = y1; y <= y2; y++) {
+                if (dist(x1, y, xCenter, yCenter) <= circleDistance) {
+                    return true;
+                }
+            }
+
+            for (int y = y1; y <= y2; y++) {
+                if (dist(x2, y, xCenter, yCenter) <= circleDistance) {
+                    return true;
+                }
+            }
+            return false;
+        }
+
+        private int dist(int x1, int y1, int x2, int y2) {
+            return (x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2);
+        }
+    }
+}
diff --git a/src/test/java/com/fishercoder/_1401Test.java b/src/test/java/com/fishercoder/_1401Test.java
@@ -0,0 +1,42 @@
+package com.fishercoder;
+
+import com.fishercoder.solutions._1401;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import static org.junit.Assert.assertEquals;
+
+public class _1401Test {
+    private static _1401.Solution1 solution1;
+
+    @BeforeClass
+    public static void setup() {
+        solution1 = new _1401.Solution1();
+    }
+
+    @Test
+    public void test1() {
+        assertEquals(true, solution1.checkOverlap(1, 0, 0, 1, -1, 3, 1));
+    }
+
+    @Test
+    public void test2() {
+        assertEquals(true, solution1.checkOverlap(1, 0, 0, -1, 0, 0, 1));
+    }
+
+    @Test
+    public void test3() {
+        assertEquals(true, solution1.checkOverlap(1, 1, 1, -3, -3, 3, 3));
+    }
+
+    @Test
+    public void test4() {
+        assertEquals(true, solution1.checkOverlap(1, 1, 1, 1, -3, 2, 1));
+    }
+
+    @Test
+    public void test5() {
+        assertEquals(false, solution1.checkOverlap(1, 1, 1, 1, -3, 2, -1));
+    }
+
+}
