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| 1 | +/* |
| 2 | +
|
| 3 | +-* 223. Rectangle Area *- |
| 4 | +
|
| 5 | +Given the coordinates of two rectilinear rectangles in a 2D plane, return the total area covered by the two rectangles. |
| 6 | +
|
| 7 | +The first rectangle is defined by its bottom-left corner (ax1, ay1) and its top-right corner (ax2, ay2). |
| 8 | +
|
| 9 | +The second rectangle is defined by its bottom-left corner (bx1, by1) and its top-right corner (bx2, by2). |
| 10 | +
|
| 11 | +
|
| 12 | +
|
| 13 | +Example 1: |
| 14 | +
|
| 15 | +Rectangle Area |
| 16 | +Input: ax1 = -3, ay1 = 0, ax2 = 3, ay2 = 4, bx1 = 0, by1 = -1, bx2 = 9, by2 = 2 |
| 17 | +Output: 45 |
| 18 | +Example 2: |
| 19 | +
|
| 20 | +Input: ax1 = -2, ay1 = -2, ax2 = 2, ay2 = 2, bx1 = -2, by1 = -2, bx2 = 2, by2 = 2 |
| 21 | +Output: 16 |
| 22 | +
|
| 23 | +
|
| 24 | +Constraints: |
| 25 | +
|
| 26 | +-104 <= ax1 <= ax2 <= 104 |
| 27 | +-104 <= ay1 <= ay2 <= 104 |
| 28 | +-104 <= bx1 <= bx2 <= 104 |
| 29 | +-104 <= by1 <= by2 <= 104 |
| 30 | +
|
| 31 | +*/ |
| 32 | + |
| 33 | +import 'dart:math'; |
| 34 | + |
| 35 | +class A { |
| 36 | + int computeArea( |
| 37 | + int ax1, int ay1, int ax2, int ay2, int bx1, int by1, int bx2, int by2) { |
| 38 | + // Calculating Area Of A and B |
| 39 | + int areaA = (ax2 - ax1) * (ay2 - ay1); |
| 40 | + int areaB = (bx2 - bx1) * (by2 - by1); |
| 41 | + |
| 42 | + // Calculating The Left Boundary |
| 43 | + int leftBoundary = max(ax1, bx1); |
| 44 | + |
| 45 | + // Calculating The Right Boundary |
| 46 | + int rightBoundary = min(bx2, ax2); |
| 47 | + |
| 48 | + // Calculating The Up Boundary |
| 49 | + int upperBoundary = min(by2, ay2); |
| 50 | + |
| 51 | + // Calculating The Down Boundary |
| 52 | + int lowerBoundary = max(ay1, by1); |
| 53 | + |
| 54 | + // Total Area |
| 55 | + int totalArea = areaA + areaB; |
| 56 | + |
| 57 | + // If Both Rectangle Overlaps |
| 58 | + if (rightBoundary > leftBoundary && upperBoundary > lowerBoundary) |
| 59 | + totalArea -= |
| 60 | + ((rightBoundary - leftBoundary) * (upperBoundary - lowerBoundary)); |
| 61 | + |
| 62 | + return totalArea; |
| 63 | + } |
| 64 | +} |
| 65 | + |
| 66 | +class B { |
| 67 | + int computeArea( |
| 68 | + int ax1, int ay1, int ax2, int ay2, int bx1, int by1, int bx2, int by2) { |
| 69 | + int a = (ax2 - ax1) * (ay2 - ay1); |
| 70 | + int b = (bx2 - bx1) * (by2 - by1); |
| 71 | + |
| 72 | + if (ax1 >= bx2 || ax2 <= bx1 || ay2 <= by1 || ay1 >= by2) return a + b; |
| 73 | + |
| 74 | + return (a + |
| 75 | + b - |
| 76 | + (min(bx2, ax2) - max(ax1, bx1)) * (min(ay2, by2) - max(ay1, by1))) |
| 77 | + .toInt(); |
| 78 | + } |
| 79 | +} |
| 80 | + |
| 81 | +class C { |
| 82 | + int computeArea( |
| 83 | + int ax1, int ay1, int ax2, int ay2, int bx1, int by1, int bx2, int by2) { |
| 84 | + if (ax1 <= bx1 && ay1 <= by1 && ax2 >= bx2 && ay2 >= by2) |
| 85 | + return (ax2 - ax1) * (ay2 - ay1); |
| 86 | + if (ax1 >= bx1 && ay1 >= by1 && ax2 <= bx2 && ay2 <= by2) |
| 87 | + return (bx2 - bx1) * (by2 - by1); |
| 88 | + if (ax1 >= bx1 && ax2 <= bx2 && ay2 >= by2 && ay1 <= by1) |
| 89 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 90 | + (ax2 - ax1) * (by2 - by1) + |
| 91 | + (bx2 - bx1) * (by2 - by1); |
| 92 | + if (ax1 <= bx1 && ax2 >= bx2 && ay2 <= by2 && ay1 >= by1) |
| 93 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 94 | + (bx2 - bx1) * (ay2 - ay1) + |
| 95 | + (bx2 - bx1) * (by2 - by1); |
| 96 | + if (ax2 >= bx1 && ax1 <= bx1 && ay2 >= by2 && ay1 <= by1) |
| 97 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 98 | + (ax2 - bx1) * (by2 - by1) + |
| 99 | + (bx2 - bx1) * (by2 - by1); |
| 100 | + if (by2 >= ay1 && by2 <= ay2 && bx1 >= ax1 && bx2 <= ax2) |
| 101 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 102 | + (bx2 - bx1) * (by2 - ay1) + |
| 103 | + (bx2 - bx1) * (by2 - by1); |
| 104 | + if (bx2 >= ax1 && bx2 <= ax2 && by1 >= ay1 && by2 <= ay2) |
| 105 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 106 | + (bx2 - ax1) * (by2 - by1) + |
| 107 | + (bx2 - bx1) * (by2 - by1); |
| 108 | + if (by1 >= ay1 && by1 <= ay2 && bx1 >= ax1 && bx2 <= ax2) |
| 109 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 110 | + (ay2 - by1) * (bx2 - bx1) + |
| 111 | + (bx2 - bx1) * (by2 - by1); |
| 112 | + if (bx2 >= ax1 && bx1 <= ax1 && by2 >= ay2 && by1 <= ay1) |
| 113 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 114 | + (bx2 - ax1) * (ay2 - ay1) + |
| 115 | + (bx2 - bx1) * (by2 - by1); |
| 116 | + if (ay2 >= by1 && ay2 <= by2 && ax1 >= bx1 && ax2 <= bx2) |
| 117 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 118 | + (ax2 - ax1) * (ay2 - by1) + |
| 119 | + (bx2 - bx1) * (by2 - by1); |
| 120 | + if (ax2 >= bx1 && ax2 <= bx2 && ay1 >= by1 && ay2 <= by2) |
| 121 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 122 | + (ax2 - bx1) * (ay2 - ay1) + |
| 123 | + (bx2 - bx1) * (by2 - by1); |
| 124 | + if (ay1 >= by1 && ay1 <= by2 && ax1 >= bx1 && ax2 <= bx2) |
| 125 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 126 | + (by2 - ay1) * (ax2 - ax1) + |
| 127 | + (bx2 - bx1) * (by2 - by1); |
| 128 | + if (ax2 >= bx1 && bx2 >= ax2 && ay1 >= by1 && by2 >= ay1) |
| 129 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 130 | + (ax2 - bx1) * (by2 - ay1) + |
| 131 | + (bx2 - bx1) * (by2 - by1); |
| 132 | + if (bx2 >= ax1 && ax1 >= bx1 && by1 <= ay1 && ay1 <= by2) |
| 133 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 134 | + (bx2 - ax1) * (by2 - ay1) + |
| 135 | + (bx2 - bx1) * (by2 - by1); |
| 136 | + if (bx2 >= ax1 && ax1 >= bx1 && by2 >= ay2 && by1 <= ay2) |
| 137 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 138 | + (bx2 - ax1) * (ay2 - by1) + |
| 139 | + (bx2 - bx1) * (by2 - by1); |
| 140 | + if (ax2 >= bx1 && ax2 <= bx2 && by1 <= ay2 && by2 >= ay2) |
| 141 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 142 | + (ax2 - bx1) * (ay2 - by1) + |
| 143 | + (bx2 - bx1) * (by2 - by1); |
| 144 | + return (ax2 - ax1) * (ay2 - ay1) + (bx2 - bx1) * (by2 - by1); |
| 145 | + } |
| 146 | +} |
| 147 | + |
| 148 | +class D { |
| 149 | + int computeArea( |
| 150 | + int ax1, int ay1, int ax2, int ay2, int bx1, int by1, int bx2, int by2) { |
| 151 | + if (ax1 <= bx1 && ay1 <= by1 && ax2 >= bx2 && ay2 >= by2) |
| 152 | + return (ax2 - ax1) * (ay2 - ay1); |
| 153 | + if (ax1 >= bx1 && ay1 >= by1 && ax2 <= bx2 && ay2 <= by2) |
| 154 | + return (bx2 - bx1) * (by2 - by1); |
| 155 | + if (ax1 >= bx1 && ax2 <= bx2 && ay2 >= by2 && ay1 <= by1) |
| 156 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 157 | + (ax2 - ax1) * (by2 - by1) + |
| 158 | + (bx2 - bx1) * (by2 - by1); |
| 159 | + if (ax1 <= bx1 && ax2 >= bx2 && ay2 <= by2 && ay1 >= by1) |
| 160 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 161 | + (bx2 - bx1) * (ay2 - ay1) + |
| 162 | + (bx2 - bx1) * (by2 - by1); |
| 163 | + if (ax2 >= bx1 && ax1 <= bx1 && ay2 >= by2 && ay1 <= by1) |
| 164 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 165 | + (ax2 - bx1) * (by2 - by1) + |
| 166 | + (bx2 - bx1) * (by2 - by1); |
| 167 | + if (by2 >= ay1 && by2 <= ay2 && bx1 >= ax1 && bx2 <= ax2) |
| 168 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 169 | + (bx2 - bx1) * (by2 - ay1) + |
| 170 | + (bx2 - bx1) * (by2 - by1); |
| 171 | + if (bx2 >= ax1 && bx2 <= ax2 && by1 >= ay1 && by2 <= ay2) |
| 172 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 173 | + (bx2 - ax1) * (by2 - by1) + |
| 174 | + (bx2 - bx1) * (by2 - by1); |
| 175 | + if (by1 >= ay1 && by1 <= ay2 && bx1 >= ax1 && bx2 <= ax2) |
| 176 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 177 | + (ay2 - by1) * (bx2 - bx1) + |
| 178 | + (bx2 - bx1) * (by2 - by1); |
| 179 | + if (bx2 >= ax1 && bx1 <= ax1 && by2 >= ay2 && by1 <= ay1) |
| 180 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 181 | + (bx2 - ax1) * (ay2 - ay1) + |
| 182 | + (bx2 - bx1) * (by2 - by1); |
| 183 | + if (ay2 >= by1 && ay2 <= by2 && ax1 >= bx1 && ax2 <= bx2) |
| 184 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 185 | + (ax2 - ax1) * (ay2 - by1) + |
| 186 | + (bx2 - bx1) * (by2 - by1); |
| 187 | + if (ax2 >= bx1 && ax2 <= bx2 && ay1 >= by1 && ay2 <= by2) |
| 188 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 189 | + (ax2 - bx1) * (ay2 - ay1) + |
| 190 | + (bx2 - bx1) * (by2 - by1); |
| 191 | + if (ay1 >= by1 && ay1 <= by2 && ax1 >= bx1 && ax2 <= bx2) |
| 192 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 193 | + (by2 - ay1) * (ax2 - ax1) + |
| 194 | + (bx2 - bx1) * (by2 - by1); |
| 195 | + if (ax2 >= bx1 && bx2 >= ax2 && ay1 >= by1 && by2 >= ay1) |
| 196 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 197 | + (ax2 - bx1) * (by2 - ay1) + |
| 198 | + (bx2 - bx1) * (by2 - by1); |
| 199 | + if (bx2 >= ax1 && ax1 >= bx1 && by1 <= ay1 && ay1 <= by2) |
| 200 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 201 | + (bx2 - ax1) * (by2 - ay1) + |
| 202 | + (bx2 - bx1) * (by2 - by1); |
| 203 | + if (bx2 >= ax1 && ax1 >= bx1 && by2 >= ay2 && by1 <= ay2) |
| 204 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 205 | + (bx2 - ax1) * (ay2 - by1) + |
| 206 | + (bx2 - bx1) * (by2 - by1); |
| 207 | + if (ax2 >= bx1 && ax2 <= bx2 && by1 <= ay2 && by2 >= ay2) |
| 208 | + return (ax2 - ax1) * (ay2 - ay1) - |
| 209 | + (ax2 - bx1) * (ay2 - by1) + |
| 210 | + (bx2 - bx1) * (by2 - by1); |
| 211 | + return (ax2 - ax1) * (ay2 - ay1) + (bx2 - bx1) * (by2 - by1); |
| 212 | + } |
| 213 | +} |
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