Cody

# Problem 2561. expand intervals vol.3

Solution 1939221

Submitted on 17 Sep 2019
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### Test Suite

Test Status Code Input and Output
1   Pass
bounds = [1 5 3 9 24 32]; elements = [1 2 3 4 5 6 7 8 9 24 25 26 27 28 29 30 31 32]; assert(isequal(ExpandIntervals(bounds),elements))

x = 1 5 3 9 24 32 y = 1×3 cell array {1×5 double} {1×7 double} {1×9 double} y = 1 2 3 4 5 3 4 5 6 7 8 9 24 25 26 27 28 29 30 31 32 Y = 1 2 3 4 5 6 7 8 9 24 25 26 27 28 29 30 31 32

2   Pass
bounds = [5 1 3 9 32 24]; elements = [1 2 3 4 5 6 7 8 9 24 25 26 27 28 29 30 31 32]; assert(isequal(ExpandIntervals(bounds),elements))

x = 5 1 3 9 32 24 y = 1×3 cell array {1×5 double} {1×7 double} {1×9 double} y = 1 2 3 4 5 3 4 5 6 7 8 9 24 25 26 27 28 29 30 31 32 Y = 1 2 3 4 5 6 7 8 9 24 25 26 27 28 29 30 31 32

3   Pass
bounds = [11 11 9 9]; elements = [9 11]; assert(isequal(ExpandIntervals(bounds),elements))

x = 11 11 9 9 y = 1×2 cell array {[11]} {[9]} y = 11 9 Y = 9 11

4   Pass
bounds = [200 400 300 100]; elements = [100:400]; assert(isequal(ExpandIntervals(bounds),elements))

x = 200 400 300 100 y = 1×2 cell array {1×201 double} {1×201 double} y = Columns 1 through 29 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 Columns 30 through 58 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 Columns 59 through 87 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 Columns 88 through 116 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 Columns 117 through 145 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 Columns 146 through 174 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 Columns 175 through 203 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 100 101 Columns 204 through 232 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 Columns 233 through 261 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 Columns 262 through 290 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 Columns 291 through 319 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 Columns 320 through 348 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 Columns 349 through 377 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 Columns 378 through 402 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 Y = Columns 1 through 29 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 Columns 30 through 58 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 Columns 59 through 87 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 Columns 88 through 116 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 Columns 117 through 145 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 Columns 146 through 174 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 Columns 175 through 203 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 Columns 204 through 232 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 Columns 233 through 261 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 Columns 262 through 290 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 Columns 291 through 301 390 391 392 393 394 395 396 397 398 399 400

5   Pass
temp = [-11:1.1:9; -9:9.5]; bounds = temp(:)'; elements = -11:9; assert(isequal(ExpandIntervals(bounds),elements))

x = Columns 1 through 17 -11.0000 -9.0000 -9.9000 -8.0000 -8.8000 -7.0000 -7.7000 -6.0000 -6.6000 -5.0000 -5.5000 -4.0000 -4.4000 -3.0000 -3.3000 -2.0000 -2.2000 Columns 18 through 34 -1.0000 -1.1000 0 0 1.0000 1.1000 2.0000 2.2000 3.0000 3.3000 4.0000 4.4000 5.0000 5.5000 6.0000 6.6000 7.0000 Columns 35 through 38 7.7000 8.0000 8.8000 9.0000 y = 1×19 cell array Columns 1 through 11 {1×3 double} {1×2 double} {1×2 double} {1×2 double} {1×2 double} {1×2 double} {1×2 double} {1×2 double} {1×2 double} {1×2 double} {1×2 double} Columns 12 through 19 {1×2 double} {1×2 double} {1×2 double} {1×2 double} {1×2 double} {1×2 double} {1×2 double} {1×2 double} y = Columns 1 through 29 -11 -10 -9 -9 -8 -8 -7 -7 -6 -6 -5 -5 -4 -4 -3 -3 -2 -2 -1 -1 0 0 1 1 2 2 3 3 4 Columns 30 through 39 4 5 5 6 6 7 7 8 8 9 Y = -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9

6   Fail
temp = [-11:1.21:11; -8.7:10]; bounds = temp(:)'; elements = [-11:0, 7:10]; assert(isequal(ExpandIntervals(bounds),elements))

x = Columns 1 through 17 -11.0000 -8.7000 -9.7900 -7.7000 -8.5800 -6.7000 -7.3700 -5.7000 -6.1600 -4.7000 -4.9500 -3.7000 -3.7400 -2.7000 -2.5300 -1.7000 -1.3200 Columns 18 through 34 -0.7000 -0.1100 0.3000 1.1000 1.3000 2.3100 2.3000 3.5200 3.3000 4.7300 4.3000 5.9400 5.3000 7.1500 6.3000 8.3600 7.3000 Columns 35 through 38 9.5700 8.3000 10.7800 9.3000 y = 1×19 cell array Columns 1 through 12 {1×4 double} {1×3 double} {1×3 double} {1×3 double} {1×3 double} {1×2 double} {1×2 double} {1×2 double} {1×2 double} {[0]} {[1]} {[2]} Columns 13 through 19 {[3]} {[4]} {[5]} {1×2 double} {1×2 double} {1×2 double} {1×2 double} y = Columns 1 through 29 -11 -10 -9 -8 -9 -8 -7 -8 -7 -6 -7 -6 -5 -6 -5 -4 -4 -3 -3 -2 -2 -1 -1 0 0 1 2 3 4 Columns 30 through 38 5 6 7 7 8 8 9 9 10 Y = -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

Assertion failed.

7   Fail
temp = [-11:2.599:9; -9:2.601:11]; bounds = temp(:)'; elements = [-11:-7, -5:-2, 0:6, 8:9]; assert(isequal(ExpandIntervals(bounds),elements))

x = -11.0000 -9.0000 -8.4010 -6.3990 -5.8020 -3.7980 -3.2030 -1.1970 -0.6040 1.4040 1.9950 4.0050 4.5940 6.6060 7.1930 9.2070 y = 1×8 cell array {1×3 double} {1×3 double} {1×3 double} {1×3 double} {1×2 double} {1×4 double} {1×3 double} {1×3 double} y = -11 -10 -9 -8 -7 -6 -5 -4 -3 -3 -2 -1 0 1 1 2 3 4 4 5 6 7 8 9 Y = -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9

Assertion failed.

8   Pass
bounds = [-10.8 10.9]; elements = -10:10; assert(isequal(ExpandIntervals(bounds),elements))

x = -10.8000 10.9000 y = 1×1 cell array {1×21 double} y = -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Y = -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

9   Pass
bounds = [10.8 -10.9]; elements = -10:10; assert(isequal(ExpandIntervals(bounds),elements))

x = 10.8000 -10.9000 y = 1×1 cell array {1×21 double} y = -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Y = -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10