yimingzhang/prime-factorization · Datasets at Hugging Face

input stringlengths 3 7	output stringlengths 3 41	step_by_step_solution listlengths 1 21
1950475	5 5 61 1279	[ "1950475 5 390095", "390095 5 78019", "78019 61 1279", "1279 1279 1" ]
4192810	2 5 419281	[ "4192810 2 2096405", "2096405 5 419281", "419281 419281 1" ]
1957068	2 2 3 3 3 18121	[ "1957068 2 978534", "978534 2 489267", "489267 3 163089", "163089 3 54363", "54363 3 18121", "18121 18121 1" ]
1694395	5 349 971	[ "1694395 5 338879", "338879 349 971", "971 971 1" ]
232727	11 21157	[ "232727 11 21157", "21157 21157 1" ]
124078	2 62039	[ "124078 2 62039", "62039 62039 1" ]
321941	43 7487	[ "321941 43 7487", "7487 7487 1" ]
3550234	2 23 113 683	[ "3550234 2 1775117", "1775117 23 77179", "77179 113 683", "683 683 1" ]
3216041	3216041	[ "3216041 3216041 1" ]
1984334	2 11 90197	[ "1984334 2 992167", "992167 11 90197", "90197 90197 1" ]
453445	5 23 3943	[ "453445 5 90689", "90689 23 3943", "3943 3943 1" ]
3859460	2 2 5 11 53 331	[ "3859460 2 1929730", "1929730 2 964865", "964865 5 192973", "192973 11 17543", "17543 53 331", "331 331 1" ]
2068913	7 11 97 277	[ "2068913 7 295559", "295559 11 26869", "26869 97 277", "277 277 1" ]
1294994	2 31 20887	[ "1294994 2 647497", "647497 31 20887", "20887 20887 1" ]
362930	2 5 36293	[ "362930 2 181465", "181465 5 36293", "36293 36293 1" ]
1325462	2 79 8389	[ "1325462 2 662731", "662731 79 8389", "8389 8389 1" ]
4230590	2 5 7 13 4649	[ "4230590 2 2115295", "2115295 5 423059", "423059 7 60437", "60437 13 4649", "4649 4649 1" ]
2266468	2 2 566617	[ "2266468 2 1133234", "1133234 2 566617", "566617 566617 1" ]
1563283	1563283	[ "1563283 1563283 1" ]
4788246	2 3 331 2411	[ "4788246 2 2394123", "2394123 3 798041", "798041 331 2411", "2411 2411 1" ]
4252428	2 2 3 3 19 6217	[ "4252428 2 2126214", "2126214 2 1063107", "1063107 3 354369", "354369 3 118123", "118123 19 6217", "6217 6217 1" ]
375847	41 89 103	[ "375847 41 9167", "9167 89 103", "103 103 1" ]
2343363	3 11 71011	[ "2343363 3 781121", "781121 11 71011", "71011 71011 1" ]
4016093	4016093	[ "4016093 4016093 1" ]
28231	7 37 109	[ "28231 7 4033", "4033 37 109", "109 109 1" ]
1348	2 2 337	[ "1348 2 674", "674 2 337", "337 337 1" ]
345036	2 2 3 28753	[ "345036 2 172518", "172518 2 86259", "86259 3 28753", "28753 28753 1" ]
41805	3 3 5 929	[ "41805 3 13935", "13935 3 4645", "4645 5 929", "929 929 1" ]
3903643	3903643	[ "3903643 3903643 1" ]
1980329	13 347 439	[ "1980329 13 152333", "152333 347 439", "439 439 1" ]
3256972	2 2 814243	[ "3256972 2 1628486", "1628486 2 814243", "814243 814243 1" ]
4334515	5 173 5011	[ "4334515 5 866903", "866903 173 5011", "5011 5011 1" ]
3309641	1741 1901	[ "3309641 1741 1901", "1901 1901 1" ]
4924173	3 19 86389	[ "4924173 3 1641391", "1641391 19 86389", "86389 86389 1" ]
4268337	3 107 13297	[ "4268337 3 1422779", "1422779 107 13297", "13297 13297 1" ]
4663232	2 2 2 2 2 2 7 7 1487	[ "4663232 2 2331616", "2331616 2 1165808", "1165808 2 582904", "582904 2 291452", "291452 2 145726", "145726 2 72863", "72863 7 10409", "10409 7 1487", "1487 1487 1" ]
2122059	3 17 41609	[ "2122059 3 707353", "707353 17 41609", "41609 41609 1" ]
85660	2 2 5 4283	[ "85660 2 42830", "42830 2 21415", "21415 5 4283", "4283 4283 1" ]
1817965	5 599 607	[ "1817965 5 363593", "363593 599 607", "607 607 1" ]
2953086	2 3 577 853	[ "2953086 2 1476543", "1476543 3 492181", "492181 577 853", "853 853 1" ]
3836480	2 2 2 2 2 2 5 19 631	[ "3836480 2 1918240", "1918240 2 959120", "959120 2 479560", "479560 2 239780", "239780 2 119890", "119890 2 59945", "59945 5 11989", "11989 19 631", "631 631 1" ]
4568926	2 1471 1553	[ "4568926 2 2284463", "2284463 1471 1553", "1553 1553 1" ]
206913	3 7 59 167	[ "206913 3 68971", "68971 7 9853", "9853 59 167", "167 167 1" ]
4893471	3 3 11 49429	[ "4893471 3 1631157", "1631157 3 543719", "543719 11 49429", "49429 49429 1" ]
1807753	103 17551	[ "1807753 103 17551", "17551 17551 1" ]
709898	2 7 50707	[ "709898 2 354949", "354949 7 50707", "50707 50707 1" ]
2396876	2 2 23 26053	[ "2396876 2 1198438", "1198438 2 599219", "599219 23 26053", "26053 26053 1" ]
4092281	197 20773	[ "4092281 197 20773", "20773 20773 1" ]
1414255	5 282851	[ "1414255 5 282851", "282851 282851 1" ]
2384362	2 1192181	[ "2384362 2 1192181", "1192181 1192181 1" ]
475885	5 95177	[ "475885 5 95177", "95177 95177 1" ]
4495003	131 34313	[ "4495003 131 34313", "34313 34313 1" ]
276217	41 6737	[ "276217 41 6737", "6737 6737 1" ]
2892182	2 1446091	[ "2892182 2 1446091", "1446091 1446091 1" ]
111185	5 37 601	[ "111185 5 22237", "22237 37 601", "601 601 1" ]
3918551	7 13 17 17 149	[ "3918551 7 559793", "559793 13 43061", "43061 17 2533", "2533 17 149", "149 149 1" ]
2681578	2 1340789	[ "2681578 2 1340789", "1340789 1340789 1" ]
65842	2 7 4703	[ "65842 2 32921", "32921 7 4703", "4703 4703 1" ]
2062544	2 2 2 2 11 11719	[ "2062544 2 1031272", "1031272 2 515636", "515636 2 257818", "257818 2 128909", "128909 11 11719", "11719 11719 1" ]
4937500	2 2 5 5 5 5 5 5 79	[ "4937500 2 2468750", "2468750 2 1234375", "1234375 5 246875", "246875 5 49375", "49375 5 9875", "9875 5 1975", "1975 5 395", "395 5 79", "79 79 1" ]
4042426	2 29 69697	[ "4042426 2 2021213", "2021213 29 69697", "69697 69697 1" ]
1848212	2 2 367 1259	[ "1848212 2 924106", "924106 2 462053", "462053 367 1259", "1259 1259 1" ]
3508909	3508909	[ "3508909 3508909 1" ]
4687233	3 1562411	[ "4687233 3 1562411", "1562411 1562411 1" ]
492236	2 2 123059	[ "492236 2 246118", "246118 2 123059", "123059 123059 1" ]
3584972	2 2 47 19069	[ "3584972 2 1792486", "1792486 2 896243", "896243 47 19069", "19069 19069 1" ]
427691	11 59 659	[ "427691 11 38881", "38881 59 659", "659 659 1" ]
527686	2 263843	[ "527686 2 263843", "263843 263843 1" ]
4417159	31 89 1601	[ "4417159 31 142489", "142489 89 1601", "1601 1601 1" ]
1689169	43 163 241	[ "1689169 43 39283", "39283 163 241", "241 241 1" ]
1055226	2 3 397 443	[ "1055226 2 527613", "527613 3 175871", "175871 397 443", "443 443 1" ]
4455861	3 19 78173	[ "4455861 3 1485287", "1485287 19 78173", "78173 78173 1" ]
4229148	2 2 3 7 11 23 199	[ "4229148 2 2114574", "2114574 2 1057287", "1057287 3 352429", "352429 7 50347", "50347 11 4577", "4577 23 199", "199 199 1" ]
3009639	3 379 2647	[ "3009639 3 1003213", "1003213 379 2647", "2647 2647 1" ]
1587008	2 2 2 2 2 2 137 181	[ "1587008 2 793504", "793504 2 396752", "396752 2 198376", "198376 2 99188", "99188 2 49594", "49594 2 24797", "24797 137 181", "181 181 1" ]
2494356	2 2 3 109 1907	[ "2494356 2 1247178", "1247178 2 623589", "623589 3 207863", "207863 109 1907", "1907 1907 1" ]
2791532	2 2 373 1871	[ "2791532 2 1395766", "1395766 2 697883", "697883 373 1871", "1871 1871 1" ]
3947384	2 2 2 7 70489	[ "3947384 2 1973692", "1973692 2 986846", "986846 2 493423", "493423 7 70489", "70489 70489 1" ]
1982636	2 2 31 59 271	[ "1982636 2 991318", "991318 2 495659", "495659 31 15989", "15989 59 271", "271 271 1" ]
4596251	11 23 37 491	[ "4596251 11 417841", "417841 23 18167", "18167 37 491", "491 491 1" ]
3083533	83 97 383	[ "3083533 83 37151", "37151 97 383", "383 383 1" ]
2041556	2 2 11 46399	[ "2041556 2 1020778", "1020778 2 510389", "510389 11 46399", "46399 46399 1" ]
2893978	2 17 47 1811	[ "2893978 2 1446989", "1446989 17 85117", "85117 47 1811", "1811 1811 1" ]
3804924	2 2 3 317077	[ "3804924 2 1902462", "1902462 2 951231", "951231 3 317077", "317077 317077 1" ]
87172	2 2 19 31 37	[ "87172 2 43586", "43586 2 21793", "21793 19 1147", "1147 31 37", "37 37 1" ]
773618	2 386809	[ "773618 2 386809", "386809 386809 1" ]
3613312	2 2 2 2 2 2 2 28229	[ "3613312 2 1806656", "1806656 2 903328", "903328 2 451664", "451664 2 225832", "225832 2 112916", "112916 2 56458", "56458 2 28229", "28229 28229 1" ]
192953	157 1229	[ "192953 157 1229", "1229 1229 1" ]
1314525	3 5 5 17 1031	[ "1314525 3 438175", "438175 5 87635", "87635 5 17527", "17527 17 1031", "1031 1031 1" ]
208821	3 47 1481	[ "208821 3 69607", "69607 47 1481", "1481 1481 1" ]
2963575	5 5 118543	[ "2963575 5 592715", "592715 5 118543", "118543 118543 1" ]
3279103	877 3739	[ "3279103 877 3739", "3739 3739 1" ]
1720505	5 61 5641	[ "1720505 5 344101", "344101 61 5641", "5641 5641 1" ]
1829430	2 3 3 5 20327	[ "1829430 2 914715", "914715 3 304905", "304905 3 101635", "101635 5 20327", "20327 20327 1" ]
1049195	5 7 31 967	[ "1049195 5 209839", "209839 7 29977", "29977 31 967", "967 967 1" ]
2967940	2 2 5 31 4787	[ "2967940 2 1483970", "1483970 2 741985", "741985 5 148397", "148397 31 4787", "4787 4787 1" ]
3722031	3 3 3 3 3 17 17 53	[ "3722031 3 1240677", "1240677 3 413559", "413559 3 137853", "137853 3 45951", "45951 3 15317", "15317 17 901", "901 17 53", "53 53 1" ]
1236261	3 13 31699	[ "1236261 3 412087", "412087 13 31699", "31699 31699 1" ]
2966464	2 2 2 2 2 2 46351	[ "2966464 2 1483232", "1483232 2 741616", "741616 2 370808", "370808 2 185404", "185404 2 92702", "92702 2 46351", "46351 46351 1" ]
2600256	2 2 2 2 2 2 3 29 467	[ "2600256 2 1300128", "1300128 2 650064", "650064 2 325032", "325032 2 162516", "162516 2 81258", "81258 2 40629", "40629 3 13543", "13543 29 467", "467 467 1" ]

1950475

5 5 61 1279

[ "1950475 5 390095", "390095 5 78019", "78019 61 1279", "1279 1279 1" ]

4192810

2 5 419281

[ "4192810 2 2096405", "2096405 5 419281", "419281 419281 1" ]

1957068

2 2 3 3 3 18121

[ "1957068 2 978534", "978534 2 489267", "489267 3 163089", "163089 3 54363", "54363 3 18121", "18121 18121 1" ]

1694395

5 349 971

[ "1694395 5 338879", "338879 349 971", "971 971 1" ]

232727

11 21157

[ "232727 11 21157", "21157 21157 1" ]

124078

2 62039

[ "124078 2 62039", "62039 62039 1" ]

321941

43 7487

[ "321941 43 7487", "7487 7487 1" ]

3550234

2 23 113 683

[ "3550234 2 1775117", "1775117 23 77179", "77179 113 683", "683 683 1" ]

3216041

[ "3216041 3216041 1" ]

1984334

2 11 90197

[ "1984334 2 992167", "992167 11 90197", "90197 90197 1" ]

453445

5 23 3943

[ "453445 5 90689", "90689 23 3943", "3943 3943 1" ]

3859460

2 2 5 11 53 331

[ "3859460 2 1929730", "1929730 2 964865", "964865 5 192973", "192973 11 17543", "17543 53 331", "331 331 1" ]

2068913

7 11 97 277

[ "2068913 7 295559", "295559 11 26869", "26869 97 277", "277 277 1" ]

1294994

2 31 20887

[ "1294994 2 647497", "647497 31 20887", "20887 20887 1" ]

362930

2 5 36293

[ "362930 2 181465", "181465 5 36293", "36293 36293 1" ]

1325462

2 79 8389

[ "1325462 2 662731", "662731 79 8389", "8389 8389 1" ]

4230590

2 5 7 13 4649

[ "4230590 2 2115295", "2115295 5 423059", "423059 7 60437", "60437 13 4649", "4649 4649 1" ]

2266468

2 2 566617

[ "2266468 2 1133234", "1133234 2 566617", "566617 566617 1" ]

1563283

[ "1563283 1563283 1" ]

4788246

2 3 331 2411

[ "4788246 2 2394123", "2394123 3 798041", "798041 331 2411", "2411 2411 1" ]

4252428

2 2 3 3 19 6217

[ "4252428 2 2126214", "2126214 2 1063107", "1063107 3 354369", "354369 3 118123", "118123 19 6217", "6217 6217 1" ]

375847

41 89 103

[ "375847 41 9167", "9167 89 103", "103 103 1" ]

2343363

3 11 71011

[ "2343363 3 781121", "781121 11 71011", "71011 71011 1" ]

4016093

[ "4016093 4016093 1" ]

28231

7 37 109

[ "28231 7 4033", "4033 37 109", "109 109 1" ]

1348

2 2 337

[ "1348 2 674", "674 2 337", "337 337 1" ]

345036

2 2 3 28753

[ "345036 2 172518", "172518 2 86259", "86259 3 28753", "28753 28753 1" ]

41805

3 3 5 929

[ "41805 3 13935", "13935 3 4645", "4645 5 929", "929 929 1" ]

3903643

[ "3903643 3903643 1" ]

1980329

13 347 439

[ "1980329 13 152333", "152333 347 439", "439 439 1" ]

3256972

2 2 814243

[ "3256972 2 1628486", "1628486 2 814243", "814243 814243 1" ]

4334515

5 173 5011

[ "4334515 5 866903", "866903 173 5011", "5011 5011 1" ]

3309641

1741 1901

[ "3309641 1741 1901", "1901 1901 1" ]

4924173

3 19 86389

[ "4924173 3 1641391", "1641391 19 86389", "86389 86389 1" ]

4268337

3 107 13297

[ "4268337 3 1422779", "1422779 107 13297", "13297 13297 1" ]

4663232

2 2 2 2 2 2 7 7 1487

[ "4663232 2 2331616", "2331616 2 1165808", "1165808 2 582904", "582904 2 291452", "291452 2 145726", "145726 2 72863", "72863 7 10409", "10409 7 1487", "1487 1487 1" ]

2122059

3 17 41609

[ "2122059 3 707353", "707353 17 41609", "41609 41609 1" ]

85660

2 2 5 4283

[ "85660 2 42830", "42830 2 21415", "21415 5 4283", "4283 4283 1" ]

1817965

5 599 607

[ "1817965 5 363593", "363593 599 607", "607 607 1" ]

2953086

2 3 577 853

[ "2953086 2 1476543", "1476543 3 492181", "492181 577 853", "853 853 1" ]

3836480

2 2 2 2 2 2 5 19 631

[ "3836480 2 1918240", "1918240 2 959120", "959120 2 479560", "479560 2 239780", "239780 2 119890", "119890 2 59945", "59945 5 11989", "11989 19 631", "631 631 1" ]

4568926

2 1471 1553

[ "4568926 2 2284463", "2284463 1471 1553", "1553 1553 1" ]

206913

3 7 59 167

[ "206913 3 68971", "68971 7 9853", "9853 59 167", "167 167 1" ]

4893471

3 3 11 49429

[ "4893471 3 1631157", "1631157 3 543719", "543719 11 49429", "49429 49429 1" ]

1807753

103 17551

[ "1807753 103 17551", "17551 17551 1" ]

709898

2 7 50707

[ "709898 2 354949", "354949 7 50707", "50707 50707 1" ]

2396876

2 2 23 26053

[ "2396876 2 1198438", "1198438 2 599219", "599219 23 26053", "26053 26053 1" ]

4092281

197 20773

[ "4092281 197 20773", "20773 20773 1" ]

1414255

5 282851

[ "1414255 5 282851", "282851 282851 1" ]

2384362

2 1192181

[ "2384362 2 1192181", "1192181 1192181 1" ]

475885

5 95177

[ "475885 5 95177", "95177 95177 1" ]

4495003

131 34313

[ "4495003 131 34313", "34313 34313 1" ]

276217

41 6737

[ "276217 41 6737", "6737 6737 1" ]

2892182

2 1446091

[ "2892182 2 1446091", "1446091 1446091 1" ]

111185

5 37 601

[ "111185 5 22237", "22237 37 601", "601 601 1" ]

3918551

7 13 17 17 149

[ "3918551 7 559793", "559793 13 43061", "43061 17 2533", "2533 17 149", "149 149 1" ]

2681578

2 1340789

[ "2681578 2 1340789", "1340789 1340789 1" ]

65842

2 7 4703

[ "65842 2 32921", "32921 7 4703", "4703 4703 1" ]

2062544

2 2 2 2 11 11719

[ "2062544 2 1031272", "1031272 2 515636", "515636 2 257818", "257818 2 128909", "128909 11 11719", "11719 11719 1" ]

4937500

2 2 5 5 5 5 5 5 79

[ "4937500 2 2468750", "2468750 2 1234375", "1234375 5 246875", "246875 5 49375", "49375 5 9875", "9875 5 1975", "1975 5 395", "395 5 79", "79 79 1" ]

4042426

2 29 69697

[ "4042426 2 2021213", "2021213 29 69697", "69697 69697 1" ]

1848212

2 2 367 1259

[ "1848212 2 924106", "924106 2 462053", "462053 367 1259", "1259 1259 1" ]

3508909

[ "3508909 3508909 1" ]

4687233

3 1562411

[ "4687233 3 1562411", "1562411 1562411 1" ]

492236

2 2 123059

[ "492236 2 246118", "246118 2 123059", "123059 123059 1" ]

3584972

2 2 47 19069

[ "3584972 2 1792486", "1792486 2 896243", "896243 47 19069", "19069 19069 1" ]

427691

11 59 659

[ "427691 11 38881", "38881 59 659", "659 659 1" ]

527686

2 263843

[ "527686 2 263843", "263843 263843 1" ]

4417159

31 89 1601

[ "4417159 31 142489", "142489 89 1601", "1601 1601 1" ]

1689169

43 163 241

[ "1689169 43 39283", "39283 163 241", "241 241 1" ]

1055226

2 3 397 443

[ "1055226 2 527613", "527613 3 175871", "175871 397 443", "443 443 1" ]

4455861

3 19 78173

[ "4455861 3 1485287", "1485287 19 78173", "78173 78173 1" ]

4229148

2 2 3 7 11 23 199

[ "4229148 2 2114574", "2114574 2 1057287", "1057287 3 352429", "352429 7 50347", "50347 11 4577", "4577 23 199", "199 199 1" ]

3009639

3 379 2647

[ "3009639 3 1003213", "1003213 379 2647", "2647 2647 1" ]

1587008

2 2 2 2 2 2 137 181

[ "1587008 2 793504", "793504 2 396752", "396752 2 198376", "198376 2 99188", "99188 2 49594", "49594 2 24797", "24797 137 181", "181 181 1" ]

2494356

2 2 3 109 1907

[ "2494356 2 1247178", "1247178 2 623589", "623589 3 207863", "207863 109 1907", "1907 1907 1" ]

2791532

2 2 373 1871

[ "2791532 2 1395766", "1395766 2 697883", "697883 373 1871", "1871 1871 1" ]

3947384

2 2 2 7 70489

[ "3947384 2 1973692", "1973692 2 986846", "986846 2 493423", "493423 7 70489", "70489 70489 1" ]

1982636

2 2 31 59 271

[ "1982636 2 991318", "991318 2 495659", "495659 31 15989", "15989 59 271", "271 271 1" ]

4596251

11 23 37 491

[ "4596251 11 417841", "417841 23 18167", "18167 37 491", "491 491 1" ]

3083533

83 97 383

[ "3083533 83 37151", "37151 97 383", "383 383 1" ]

2041556

2 2 11 46399

[ "2041556 2 1020778", "1020778 2 510389", "510389 11 46399", "46399 46399 1" ]

2893978

2 17 47 1811

[ "2893978 2 1446989", "1446989 17 85117", "85117 47 1811", "1811 1811 1" ]

3804924

2 2 3 317077

[ "3804924 2 1902462", "1902462 2 951231", "951231 3 317077", "317077 317077 1" ]

87172

2 2 19 31 37

[ "87172 2 43586", "43586 2 21793", "21793 19 1147", "1147 31 37", "37 37 1" ]

773618

2 386809

[ "773618 2 386809", "386809 386809 1" ]

3613312

2 2 2 2 2 2 2 28229

[ "3613312 2 1806656", "1806656 2 903328", "903328 2 451664", "451664 2 225832", "225832 2 112916", "112916 2 56458", "56458 2 28229", "28229 28229 1" ]

192953

157 1229

[ "192953 157 1229", "1229 1229 1" ]

1314525

3 5 5 17 1031

[ "1314525 3 438175", "438175 5 87635", "87635 5 17527", "17527 17 1031", "1031 1031 1" ]

208821

3 47 1481

[ "208821 3 69607", "69607 47 1481", "1481 1481 1" ]

2963575

5 5 118543

[ "2963575 5 592715", "592715 5 118543", "118543 118543 1" ]

3279103

877 3739

[ "3279103 877 3739", "3739 3739 1" ]

1720505

5 61 5641

[ "1720505 5 344101", "344101 61 5641", "5641 5641 1" ]

1829430

2 3 3 5 20327

[ "1829430 2 914715", "914715 3 304905", "304905 3 101635", "101635 5 20327", "20327 20327 1" ]

1049195

5 7 31 967

[ "1049195 5 209839", "209839 7 29977", "29977 31 967", "967 967 1" ]

2967940

2 2 5 31 4787

[ "2967940 2 1483970", "1483970 2 741985", "741985 5 148397", "148397 31 4787", "4787 4787 1" ]

3722031

3 3 3 3 3 17 17 53

[ "3722031 3 1240677", "1240677 3 413559", "413559 3 137853", "137853 3 45951", "45951 3 15317", "15317 17 901", "901 17 53", "53 53 1" ]

1236261

3 13 31699

[ "1236261 3 412087", "412087 13 31699", "31699 31699 1" ]

2966464

2 2 2 2 2 2 46351

[ "2966464 2 1483232", "1483232 2 741616", "741616 2 370808", "370808 2 185404", "185404 2 92702", "92702 2 46351", "46351 46351 1" ]

2600256

2 2 2 2 2 2 3 29 467

[ "2600256 2 1300128", "1300128 2 650064", "650064 2 325032", "325032 2 162516", "162516 2 81258", "81258 2 40629", "40629 3 13543", "13543 29 467", "467 467 1" ]