| Radix Character Encoding | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
| G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V |
| W | X | Y | Z | a | b | c | d | e | f | g | h | i | j | k | l |
| Color Key | ||
|---|---|---|
| Orange | Fixed Point | number that becomes itself after one iteration |
| Green | Final Numbers | all numbers eventually reached, from all cycles |
| Purple | Cycle Start | iterations include entry into cycle, assuming it repeats |
| Red | Full Cycle | iterations include entire cycle, proving it repeats |
| Blue | Start Numbers | subset (optimization) of all numbers; minimal for full coverage |
| Gray | No Results | any calculation that has no results |
| Digits | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| Average Steps Cycle Start | 0.97 step avg | 1.45 step avg | 9.11 step avg | 9.96 step avg | 9.10 step avg | 37.02 step avg | 8.98 step avg | 78.57 step avg | 14.25 step avg | 177.88 step avg |
| Step Frequency Cycle Start | 0s: 1s: 1× 39× | 0s: 1s: 2s: 11× 429× 380× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 1× 459× 418× 834× 826× 814× 798× 778× 754× 726× 694× 658× 618× 574× 526× 474× 418× 358× 294× 226× 154× 78× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 1× 311× 424× 1,760× 7,040× 28,160× 6,056× 5,472× 11,180× 20,578× 4,124× 1,300× 2,330× 4,580× 2,352× 1,232× 2,466× 4,688× 1,496× 2,864× 5,412× 9,584× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 1× 20,179× 24,810× 18,258× 42,880× 63,848× 77,084× 98,462× 117,944× 112,330× 116,110× 124,578× 81,136× 82,108× 44,634× 34,904× 20,010× 6,288× 444× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 44s: 45s: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 53s: 54s: 55s: 56s: 57s: 58s: 59s: 60s: 61s: 62s: 63s: 64s: 65s: 66s: 67s: 68s: 69s: 70s: 71s: 72s: 73s: 74s: 75s: 76s: 77s: 78s: 79s: 80s: 81s: 82s: 83s: 84s: 85s: 86s: 87s: 88s: 89s: 90s: 91s: 92s: 93s: 94s: 95s: 96s: 97s: 98s: 99s: 100s: 101s: 102s: 103s: 104s: 105s: 106s: 107s: 108s: 109s: 110s: 111s: 112s: 1× 35,730× 67,857× 110,930× 117,632× 127,486× 141,819× 182,491× 194,458× 221,278× 176,324× 186,487× 171,141× 163,492× 138,978× 213,223× 172,370× 185,507× 197,882× 170,952× 170,389× 142,641× 133,948× 114,511× 134,082× 131,204× 141,128× 113,077× 120,049× 111,153× 115,709× 79,290× 104,071× 98,988× 84,695× 79,066× 104,974× 89,507× 96,726× 93,366× 97,782× 84,743× 95,170× 118,694× 109,842× 66,426× 62,584× 55,009× 62,290× 54,517× 37,328× 24,319× 11,673× 23,421× 12,202× 17,485× 24,841× 28,412× 24,616× 34,381× 26,219× 7,816× 8,380× 11,116× 26,072× 29,164× 44,512× 63,681× 54,761× 65,706× 62,012× 48,748× 52,632× 51,554× 58,053× 64,930× 40,106× 29,772× 19,062× 14,906× 21,116× 29,094× 44,798× 63,470× 50,120× 61,746× 49,854× 46,673× 49,682× 39,305× 24,134× 32,823× 14,912× 25,684× 23,290× 42,182× 52,078× 52,974× 50,179× 50,136× 58,664× 43,452× 45,246× 33,732× 15,632× 17,470× 10,494× 11,426× 9,888× 4,234× 3,766× 3,785× 3,472× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 1× 258,019× 686,512× 1,443,566× 1,914,670× 2,831,102× 3,624,026× 4,735,852× 6,077,968× 7,705,366× 7,130,852× 6,310,616× 5,213,422× 3,007,018× 1,621,952× 632,884× 239,514× 75,648× 11,798× 3,358× 304× 154× 78× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 44s: 45s: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 53s: 54s: 55s: 56s: 57s: 58s: 59s: 60s: 61s: 62s: 63s: 64s: 65s: 66s: 67s: 68s: 69s: 70s: 71s: 72s: 73s: 74s: 75s: 76s: 77s: 78s: 79s: 80s: 81s: 82s: 83s: 84s: 85s: 86s: 87s: 88s: 89s: 90s: 91s: 92s: 93s: 94s: 95s: 96s: 97s: 98s: 99s: 100s: 101s: 102s: 103s: 104s: 105s: 106s: 107s: 108s: 109s: 110s: 111s: 112s: 113s: 114s: 115s: 116s: 117s: 118s: 119s: 120s: 121s: 122s: 123s: 124s: 125s: 126s: 127s: 128s: 129s: 130s: 131s: 132s: 133s: 134s: 135s: 136s: 137s: 138s: 139s: 140s: 141s: 142s: 143s: 144s: 145s: 146s: 147s: 148s: 149s: 150s: 151s: 152s: 153s: 154s: 155s: 156s: 157s: 158s: 159s: 160s: 161s: 162s: 163s: 164s: 165s: 166s: 167s: 168s: 169s: 170s: 171s: 172s: 173s: 174s: 175s: 176s: 177s: 178s: 179s: 180s: 181s: 182s: 183s: 184s: 185s: 186s: 187s: 188s: 189s: 190s: 191s: 192s: 193s: 194s: 195s: 196s: 197s: 198s: 199s: 200s: 201s: 202s: 203s: 204s: 205s: 206s: 207s: 208s: 209s: 210s: 211s: 212s: 213s: 214s: 215s: 216s: 217s: 218s: 219s: 220s: 221s: 222s: 223s: 224s: 225s: 226s: 227s: 228s: 229s: 230s: 231s: 232s: 233s: 234s: 235s: 236s: 237s: 238s: 239s: 240s: 241s: 242s: 243s: 244s: 245s: 246s: 247s: 248s: 249s: 250s: 251s: 252s: 253s: 254s: 255s: 256s: 257s: 258s: 259s: 260s: 261s: 262s: 263s: 264s: 265s: 266s: 267s: 268s: 269s: 270s: 271s: 272s: 273s: 274s: 275s: 276s: 277s: 1× 541,571× 2,323,328× 2,242,511× 2,937,569× 3,376,901× 2,991,834× 2,474,852× 2,154,757× 2,577,343× 2,925,829× 3,087,528× 3,314,149× 2,969,676× 3,066,959× 3,073,728× 3,655,464× 3,579,240× 3,249,391× 3,766,421× 3,419,310× 3,193,158× 3,350,155× 3,047,609× 2,833,209× 2,422,055× 2,494,048× 2,289,465× 2,513,432× 2,681,736× 2,868,964× 2,991,239× 3,188,886× 2,948,464× 2,284,412× 2,495,351× 2,623,509× 2,399,825× 2,397,799× 2,693,633× 3,092,642× 3,443,013× 3,016,926× 2,891,065× 2,977,292× 3,033,848× 2,853,338× 2,434,739× 2,611,771× 2,561,959× 2,709,602× 2,488,025× 2,553,177× 2,899,488× 2,792,690× 2,746,094× 2,505,301× 2,620,479× 2,883,456× 2,760,439× 2,403,628× 2,158,559× 1,909,215× 1,608,560× 1,431,783× 1,422,619× 1,484,041× 1,477,837× 1,680,880× 1,592,794× 1,825,641× 1,773,430× 1,875,918× 2,020,859× 1,960,643× 2,395,105× 2,387,333× 2,183,816× 1,807,859× 1,654,424× 1,680,554× 1,960,753× 1,793,800× 1,708,240× 1,723,824× 1,371,265× 1,434,994× 1,208,650× 1,129,052× 1,204,705× 1,250,685× 1,310,377× 1,439,036× 1,467,419× 1,334,961× 1,612,224× 1,530,318× 1,519,065× 1,240,541× 1,049,755× 1,143,299× 1,092,484× 1,181,757× 1,288,306× 1,058,870× 907,364× 1,038,854× 1,086,372× 981,582× 1,135,343× 783,000× 593,497× 733,326× 874,685× 844,256× 537,095× 498,056× 436,424× 550,412× 536,339× 662,107× 519,347× 479,180× 560,667× 450,301× 516,308× 466,469× 627,853× 506,522× 394,657× 257,062× 237,178× 374,201× 349,432× 433,722× 555,206× 654,137× 615,574× 623,056× 521,309× 246,510× 255,140× 327,071× 301,446× 178,448× 160,630× 120,756× 183,418× 373,036× 516,925× 380,800× 260,911× 453,791× 608,283× 644,166× 651,387× 481,796× 446,054× 586,707× 538,411× 639,325× 560,948× 773,858× 1,071,172× 1,037,616× 863,691× 785,119× 767,169× 803,121× 623,788× 503,064× 371,372× 260,310× 376,210× 409,110× 409,662× 344,258× 335,329× 408,166× 325,339× 214,271× 219,593× 176,680× 214,444× 225,119× 70,380× 12,370× 48,816× 154,732× 341,196× 349,306× 310,187× 506,892× 614,511× 457,023× 416,666× 492,005× 468,458× 394,607× 272,025× 178,196× 236,449× 225,444× 386,360× 410,099× 405,431× 252,883× 328,692× 377,365× 350,902× 208,932× 208,040× 285,260× 274,664× 397,178× 629,178× 685,900× 514,138× 308,078× 421,970× 647,581× 555,452× 452,610× 431,578× 545,035× 601,231× 605,272× 541,856× 526,738× 540,501× 748,056× 668,862× 609,160× 730,947× 672,726× 596,429× 682,176× 542,527× 394,851× 423,871× 309,899× 303,019× 338,312× 228,203× 244,173× 391,552× 618,230× 652,782× 569,888× 576,862× 482,809× 588,719× 560,194× 393,154× 481,225× 491,305× 524,171× 546,779× 549,845× 542,157× 436,537× 353,031× 349,229× 279,837× 271,129× 276,747× 174,863× 79,921× 123,405× 111,784× 101,842× 29,439× 9,854× 8,982× 22,908× 18,382× 16,059× 2,630× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 1× 1,131,095× 5,545,816× 14,067,374× 28,626,662× 50,551,010× 73,806,010× 90,778,128× 103,195,960× 97,872,358× 90,612,188× 103,003,196× 104,912,678× 113,385,820× 122,123,696× 104,779,072× 87,494,926× 58,335,812× 48,408,472× 40,936,050× 36,894,766× 30,173,410× 38,780,116× 38,357,502× 41,264,416× 24,762,148× 15,168,876× 13,837,824× 13,887,882× 9,236,368× 8,161,098× 15,291,340× 15,996,596× 14,581,548× 7,143,038× 5,383,590× 4,326,252× 2,908,830× 1,274,512× 106,700× 3,504× | 0s: 1s: 2s: 3s: 4s: 5s: 6s: 7s: 8s: 9s: 10s: 11s: 12s: 13s: 14s: 15s: 16s: 17s: 18s: 19s: 20s: 21s: 22s: 23s: 24s: 25s: 26s: 27s: 28s: 29s: 30s: 31s: 32s: 33s: 34s: 35s: 36s: 37s: 38s: 39s: 40s: 41s: 42s: 43s: 44s: 45s: 46s: 47s: 48s: 49s: 50s: 51s: 52s: 53s: 54s: 55s: 56s: 57s: 58s: 59s: 60s: 61s: 62s: 63s: 64s: 65s: 66s: 67s: 68s: 69s: 70s: 71s: 72s: 73s: 74s: 75s: 76s: 77s: 78s: 79s: 80s: 81s: 82s: 83s: 84s: 85s: 86s: 87s: 88s: 89s: 90s: 91s: 92s: 93s: 94s: 95s: 96s: 97s: 98s: 99s: 100s: 101s: 102s: 103s: 104s: 105s: 106s: 107s: 108s: 109s: 110s: 111s: 112s: 113s: 114s: 115s: 116s: 117s: 118s: 119s: 120s: 121s: 122s: 123s: 124s: 125s: 126s: 127s: 128s: 129s: 130s: 131s: 132s: 133s: 134s: 135s: 136s: 137s: 138s: 139s: 140s: 141s: 142s: 143s: 144s: 145s: 146s: 147s: 148s: 149s: 150s: 151s: 152s: 153s: 154s: 155s: 156s: 157s: 158s: 159s: 160s: 161s: 162s: 163s: 164s: 165s: 166s: 167s: 168s: 169s: 170s: 171s: 172s: 173s: 174s: 175s: 176s: 177s: 178s: 179s: 180s: 181s: 182s: 183s: 184s: 185s: 186s: 187s: 188s: 189s: 190s: 191s: 192s: 193s: 194s: 195s: 196s: 197s: 198s: 199s: 200s: 201s: 202s: 203s: 204s: 205s: 206s: 207s: 208s: 209s: 210s: 211s: 212s: 213s: 214s: 215s: 216s: 217s: 218s: 219s: 220s: 221s: 222s: 223s: 224s: 225s: 226s: 227s: 228s: 229s: 230s: 231s: 232s: 233s: 234s: 235s: 236s: 237s: 238s: 239s: 240s: 241s: 242s: 243s: 244s: 245s: 246s: 247s: 248s: 249s: 250s: 251s: 252s: 253s: 254s: 255s: 256s: 257s: 258s: 259s: 260s: 261s: 262s: 263s: 264s: 265s: 266s: 267s: 268s: 269s: 270s: 271s: 272s: 273s: 274s: 275s: 276s: 277s: 278s: 279s: 280s: 281s: 282s: 283s: 284s: 285s: 286s: 287s: 288s: 289s: 290s: 291s: 292s: 293s: 294s: 295s: 296s: 297s: 298s: 299s: 300s: 301s: 302s: 303s: 304s: 305s: 306s: 307s: 308s: 309s: 310s: 311s: 312s: 313s: 314s: 315s: 316s: 317s: 318s: 319s: 320s: 321s: 322s: 323s: 324s: 325s: 326s: 327s: 328s: 329s: 330s: 331s: 332s: 333s: 334s: 335s: 336s: 337s: 338s: 339s: 340s: 341s: 342s: 343s: 344s: 345s: 346s: 347s: 348s: 349s: 350s: 351s: 352s: 353s: 354s: 355s: 356s: 357s: 358s: 359s: 360s: 361s: 362s: 363s: 364s: 365s: 366s: 367s: 368s: 369s: 370s: 371s: 372s: 373s: 374s: 375s: 376s: 377s: 378s: 379s: 380s: 381s: 382s: 383s: 384s: 385s: 386s: 387s: 388s: 389s: 390s: 391s: 392s: 393s: 394s: 395s: 396s: 397s: 398s: 399s: 400s: 401s: 402s: 403s: 404s: 405s: 406s: 407s: 408s: 409s: 410s: 411s: 412s: 413s: 414s: 415s: 416s: 417s: 418s: 419s: 420s: 421s: 422s: 423s: 424s: 425s: 426s: 427s: 428s: 429s: 430s: 431s: 1× 2,784,615× 25,886,047× 36,159,947× 35,435,054× 39,556,631× 39,152,416× 36,679,308× 34,752,826× 34,798,486× 32,828,400× 36,420,703× 38,499,643× 39,233,618× 33,414,085× 37,655,310× 34,382,428× 39,433,834× 37,442,204× 31,220,707× 33,362,050× 38,172,049× 34,100,602× 30,480,386× 27,826,155× 34,357,809× 34,669,675× 31,922,019× 26,427,064× 22,043,056× 20,863,450× 22,995,416× 22,824,122× 25,435,588× 22,120,097× 25,593,770× 24,572,792× 22,027,366× 24,712,853× 21,912,825× 23,028,188× 27,154,586× 27,480,069× 27,751,725× 28,006,170× 24,135,772× 20,602,564× 23,364,687× 20,854,914× 19,799,049× 16,579,982× 16,543,242× 17,022,397× 17,761,245× 14,128,834× 13,771,082× 13,245,671× 13,893,652× 14,475,125× 14,147,011× 15,707,017× 17,477,271× 20,240,596× 21,708,244× 20,580,310× 22,575,032× 24,288,671× 27,631,162× 24,575,919× 29,180,812× 29,652,563× 24,525,813× 20,715,734× 18,951,561× 17,933,883× 21,280,331× 20,914,634× 19,893,410× 21,340,648× 19,889,442× 16,009,982× 16,744,620× 17,445,110× 15,992,233× 14,429,613× 12,745,902× 16,506,638× 16,082,663× 15,223,212× 15,719,996× 17,388,575× 12,649,623× 14,195,866× 14,308,348× 18,583,830× 21,510,464× 22,766,026× 24,277,628× 19,910,095× 20,143,650× 20,562,201× 19,510,597× 19,461,176× 19,701,245× 22,111,258× 22,430,761× 23,541,270× 22,251,598× 24,988,632× 26,395,467× 26,330,245× 27,588,885× 32,711,279× 29,623,283× 28,681,018× 23,466,893× 19,808,036× 21,521,735× 19,348,693× 18,387,267× 21,322,377× 22,178,455× 17,711,886× 15,486,908× 17,298,938× 15,247,405× 15,327,174× 18,096,773× 16,594,956× 17,510,313× 16,929,749× 17,311,929× 14,529,981× 12,902,303× 13,467,875× 15,103,623× 17,597,732× 12,299,059× 10,689,220× 9,407,460× 12,531,344× 12,449,188× 13,587,808× 10,384,645× 7,470,681× 7,265,066× 8,568,632× 7,989,630× 6,530,774× 8,227,065× 7,543,307× 7,851,489× 11,005,426× 9,064,228× 9,853,971× 9,171,105× 12,289,883× 13,213,406× 14,496,034× 15,744,267× 17,277,008× 18,301,665× 20,805,923× 20,850,617× 23,000,312× 19,554,739× 19,960,630× 23,323,065× 30,430,719× 31,700,764× 32,346,190× 26,669,074× 22,618,710× 19,168,990× 17,926,375× 20,388,834× 18,882,849× 18,870,338× 18,516,889× 17,066,211× 18,237,513× 21,034,498× 22,002,706× 26,743,027× 26,958,623× 27,842,884× 22,131,418× 25,880,068× 27,281,822× 30,055,634× 31,414,853× 26,363,274× 27,129,638× 28,503,241× 22,957,481× 21,259,413× 23,384,082× 24,057,816× 25,270,304× 24,385,027× 29,323,264× 32,420,676× 33,469,848× 35,171,464× 31,801,654× 28,435,953× 30,053,337× 31,610,654× 32,498,068× 32,992,430× 32,149,977× 36,091,314× 34,105,747× 34,415,918× 31,301,902× 32,273,476× 31,569,350× 30,452,808× 35,568,214× 38,321,381× 32,272,054× 34,080,668× 29,095,125× 32,797,051× 29,725,961× 32,985,228× 31,359,263× 32,214,165× 29,010,912× 28,325,958× 27,523,863× 29,318,979× 32,593,568× 35,549,124× 34,609,155× 32,643,212× 28,166,575× 29,641,711× 27,239,866× 31,746,721× 29,700,927× 29,039,694× 28,263,114× 27,630,208× 24,042,584× 22,343,690× 23,029,259× 26,319,447× 23,566,849× 20,875,546× 21,982,216× 24,881,183× 23,712,225× 22,097,409× 21,237,727× 20,892,746× 21,347,058× 26,628,985× 29,408,297× 30,556,470× 27,013,240× 30,397,458× 32,440,006× 34,877,192× 35,790,257× 33,001,481× 38,978,477× 38,454,392× 35,876,762× 30,771,895× 31,596,883× 26,363,223× 27,779,616× 33,730,221× 30,432,521× 28,707,997× 35,621,687× 39,135,335× 35,988,157× 30,055,988× 28,386,344× 30,968,659× 30,215,112× 26,818,416× 23,143,310× 19,618,052× 20,690,880× 18,316,010× 18,137,800× 19,760,839× 16,779,886× 14,155,753× 11,275,725× 13,127,948× 12,189,859× 11,865,967× 12,507,236× 12,080,021× 12,311,891× 12,242,619× 14,306,845× 17,762,129× 18,020,700× 17,505,659× 16,272,087× 17,541,970× 18,553,246× 19,798,515× 17,272,906× 17,217,555× 17,020,597× 15,796,327× 16,531,072× 21,428,185× 22,395,256× 25,425,415× 24,656,867× 18,638,009× 18,035,603× 20,100,628× 21,435,424× 26,710,672× 22,307,132× 25,455,535× 21,617,497× 19,929,018× 17,951,862× 16,972,504× 15,471,920× 17,128,334× 14,587,571× 11,082,705× 13,496,899× 13,005,057× 12,992,730× 12,359,286× 11,773,564× 11,563,052× 11,703,456× 13,330,337× 11,855,698× 12,502,764× 11,949,301× 11,504,235× 9,325,747× 6,823,919× 6,101,181× 6,669,055× 6,757,390× 5,375,950× 5,713,147× 6,283,862× 8,119,395× 5,207,506× 5,001,816× 4,562,024× 4,899,538× 8,255,189× 8,665,288× 6,593,098× 6,850,044× 6,896,781× 6,137,562× 5,404,286× 6,073,382× 7,009,014× 9,134,564× 6,689,202× 6,342,222× 6,161,355× 7,705,246× 7,329,066× 6,492,730× 6,265,414× 5,601,732× 5,169,624× 4,699,037× 4,369,586× 3,345,582× 3,381,517× 2,645,574× 2,003,325× 3,705,272× 4,408,621× 4,010,348× 3,008,312× 2,763,751× 2,286,030× 2,534,423× 3,006,102× 3,939,767× 3,339,553× 3,214,970× 2,429,022× 1,664,157× 1,308,826× 2,321,112× 2,879,173× 2,276,483× 1,973,706× 2,302,648× 5,384,599× 9,426,144× 9,954,106× 7,068,800× 4,605,401× 4,238,704× 5,197,890× 5,177,088× 5,069,470× 3,564,977× 3,414,399× 1,933,241× 1,260,805× 1,319,848× 1,803,467× 1,297,352× 2,257,300× 911,775× 677,327× 752,550× 1,664,819× 2,668,254× 1,161,926× 1,476,882× 1,574,600× 1,751,577× 2,116,701× 517,171× 120,498× 112,535× 30,310× |