CoolFace
Datasetpublic

yangxw/countdown-backtracking

Step Back to Leap Forward: Self-Backtracking for Boosting Reasoning of Language Models train: 500K test (Seen Targets): 5k test (New Targets): 5k github: https://github.com/LAMDASZ-ML/Self-BackTracking

sourceHugging Facemitupdated 2y agoView on Hugging Face
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val_backtrack.json60002 linesDownload Raw Back to root
1[
2    {
3        "nums": [
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5            75,
6            17,
7            84
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11        "is_find": true,
12        "is_backtrack": false
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18            43,
19            18
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23        "is_find": true,
24        "is_backtrack": false
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30            40,
31            6
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35        "is_find": true,
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37    },
38    {
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42            13,
43            85
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47        "is_find": true,
48        "is_backtrack": false
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53            70,
54            46,
55            26
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59        "is_find": true,
60        "is_backtrack": false
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62    {
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65            96,
66            43,
67            4
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71        "is_find": true,
72        "is_backtrack": false
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77            50,
78            9,
79            32
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83        "is_find": true,
84        "is_backtrack": false
85    },
86    {
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89            41,
90            94,
91            98
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95        "is_find": true,
96        "is_backtrack": false
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101            3,
102            96,
103            63
104        ],
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107        "is_find": true,
108        "is_backtrack": false
109    },
110    {
111        "nums": [
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113            32,
114            56,
115            10
116        ],
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119        "is_find": true,
120        "is_backtrack": false
121    },
122    {
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125            28,
126            95,
127            28
128        ],
129        "target": 50,
130        "search_path": "95-44=51\n28/28=1\n51-1=50\nGoal Reached!",
131        "is_find": true,
132        "is_backtrack": false
133    },
134    {
135        "nums": [
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137            24,
138            2,
139            28
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143        "is_find": true,
144        "is_backtrack": false
145    },
146    {
147        "nums": [
148            47,
149            2,
150            36,
151            2
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153        "target": 30,
154        "search_path": "36-2=34\n34/2=17\n47-17=30\nGoal Reached!",
155        "is_find": true,
156        "is_backtrack": false
157    },
158    {
159        "nums": [
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161            96,
162            40,
163            28
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165        "target": 55,
166        "search_path": "27+96=123\n40+28=68\n123-68=55\nGoal Reached!",
167        "is_find": true,
168        "is_backtrack": false
169    },
170    {
171        "nums": [
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173            63,
174            84,
175            28
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177        "target": 69,
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179        "is_find": true,
180        "is_backtrack": false
181    },
182    {
183        "nums": [
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185            53,
186            29,
187            81
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189        "target": 58,
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191        "is_find": true,
192        "is_backtrack": false
193    },
194    {
195        "nums": [
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197            57,
198            90,
199            85
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201        "target": 16,
202        "search_path": "57-36=21\n90-85=5\n21-5=16\nGoal Reached!",
203        "is_find": true,
204        "is_backtrack": false
205    },
206    {
207        "nums": [
208            53,
209            44,
210            31,
211            21
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213        "target": 11,
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215        "is_find": true,
216        "is_backtrack": false
217    },
218    {
219        "nums": [
220            40,
221            72,
222            80,
223            27
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225        "target": 18,
226        "search_path": "80/40=2\n27*2=54\n72-54=18\nGoal Reached!",
227        "is_find": true,
228        "is_backtrack": false
229    },
230    {
231        "nums": [
232            71,
233            39,
234            34,
235            17
236        ],
237        "target": 13,
238        "search_path": "34*17=578\n578-71=507\n507/39=13\nGoal Reached!",
239        "is_find": true,
240        "is_backtrack": false
241    },
242    {
243        "nums": [
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245            55,
246            93,
247            39
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250        "search_path": "55+39=94\n94/2=47\n93-47=46\nGoal Reached!",
251        "is_find": true,
252        "is_backtrack": false
253    },
254    {
255        "nums": [
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257            92,
258            62,
259            62
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263        "is_find": true,
264        "is_backtrack": false
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266    {
267        "nums": [
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269            26,
270            2,
271            30
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274        "search_path": "30-26=4\n84/4=21\n2+21=23\nGoal Reached!",
275        "is_find": true,
276        "is_backtrack": false
277    },
278    {
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280            77,
281            11,
282            28,
283            25
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285        "target": 13,
286        "search_path": "77-11=66\n28+25=53\n66-53=13\nGoal Reached!",
287        "is_find": true,
288        "is_backtrack": false
289    },
290    {
291        "nums": [
292            15,
293            4,
294            12,
295            4
296        ],
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298        "search_path": "15+4=19\n4*19=76\n12+76=88\nGoal Reached!",
299        "is_find": true,
300        "is_backtrack": false
301    },
302    {
303        "nums": [
304            12,
305            10,
306            51,
307            53
308        ],
309        "target": 82,
310        "search_path": "12+10=22\n51+53=104\n104-22=82\nGoal Reached!",
311        "is_find": true,
312        "is_backtrack": false
313    },
314    {
315        "nums": [
316            5,
317            54,
318            5,
319            8
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322        "search_path": "5/5=1\n54-8=46\n46-1=45\nGoal Reached!",
323        "is_find": true,
324        "is_backtrack": false
325    },
326    {
327        "nums": [
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329            79,
330            86,
331            65
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333        "target": 94,
334        "search_path": "79-6=73\n86-65=21\n73+21=94\nGoal Reached!",
335        "is_find": true,
336        "is_backtrack": false
337    },
338    {
339        "nums": [
340            40,
341            43,
342            14,
343            39
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346        "search_path": "40-39=1\n43-14=29\n1*29=29\nGoal Reached!",
347        "is_find": true,
348        "is_backtrack": false
349    },
350    {
351        "nums": [
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353            23,
354            16,
355            75
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358        "search_path": "16*75=1200\n1200/12=100\n100-23=77\nGoal Reached!",
359        "is_find": true,
360        "is_backtrack": false
361    },
362    {
363        "nums": [
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365            9,
366            40,
367            4
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371        "is_find": true,
372        "is_backtrack": false
373    },
374    {
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378            52,
379            87
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383        "is_find": true,
384        "is_backtrack": false
385    },
386    {
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389            34,
390            10,
391            17
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394        "search_path": "34*10=340\n340/17=20\n41+20=61\nGoal Reached!",
395        "is_find": true,
396        "is_backtrack": false
397    },
398    {
399        "nums": [
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401            39,
402            21,
403            96
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406        "search_path": "6+39=45\n21+96=117\n117-45=72\nGoal Reached!",
407        "is_find": true,
408        "is_backtrack": false
409    },
410    {
411        "nums": [
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413            70,
414            79,
415            70
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418        "search_path": "70-70=0\n2*0=0\n79+0=79\nGoal Reached!",
419        "is_find": true,
420        "is_backtrack": false
421    },
422    {
423        "nums": [
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425            66,
426            95,
427            62
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430        "search_path": "29+66=95\n95/95=1\n62-1=61\nGoal Reached!",
431        "is_find": true,
432        "is_backtrack": false
433    },
434    {
435        "nums": [
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437            75,
438            22,
439            61
440        ],
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442        "search_path": "44/22=2\n75-61=14\n2+14=16\nGoal Reached!",
443        "is_find": true,
444        "is_backtrack": false
445    },
446    {
447        "nums": [
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449            68,
450            22,
451            75
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454        "search_path": "75-22=53\n3*53=159\n159-68=91\nGoal Reached!",
455        "is_find": true,
456        "is_backtrack": false
457    },
458    {
459        "nums": [
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461            38,
462            2,
463            88
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466        "search_path": "88-74=14\n2*14=28\n38-28=10\nGoal Reached!",
467        "is_find": true,
468        "is_backtrack": false
469    },
470    {
471        "nums": [
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473            76,
474            98,
475            10
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478        "search_path": "98+10=108\n108/3=36\n76-36=40\nGoal Reached!",
479        "is_find": true,
480        "is_backtrack": false
481    },
482    {
483        "nums": [
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485            82,
486            49,
487            90
488        ],
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490        "search_path": "56+82=138\n90-49=41\n138-41=97\nGoal Reached!",
491        "is_find": true,
492        "is_backtrack": false
493    },
494    {
495        "nums": [
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497            8,
498            40,
499            9
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501        "target": 95,
502        "search_path": "53-40=13\n8*13=104\n104-9=95\nGoal Reached!",
503        "is_find": true,
504        "is_backtrack": false
505    },
506    {
507        "nums": [
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509            11,
510            31,
511            67
512        ],
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514        "search_path": "69-67=2\n31*2=62\n11+62=73\nGoal Reached!",
515        "is_find": true,
516        "is_backtrack": false
517    },
518    {
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521            22,
522            13,
523            71
524        ],
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526        "search_path": "22-19=3\n71-13=58\n3+58=61\nGoal Reached!",
527        "is_find": true,
528        "is_backtrack": false
529    },
530    {
531        "nums": [
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533            84,
534            50,
535            44
536        ],
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538        "search_path": "84-72=12\n50+44=94\n94-12=82\nGoal Reached!",
539        "is_find": true,
540        "is_backtrack": false
541    },
542    {
543        "nums": [
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545            6,
546            5,
547            2
548        ],
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550        "search_path": "60/6=10\n5*2=10\n10*10=100\nGoal Reached!",
551        "is_find": true,
552        "is_backtrack": false
553    },
554    {
555        "nums": [
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557            73,
558            98,
559            87
560        ],
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562        "search_path": "26+73=99\n98-87=11\n99-11=88\nGoal Reached!",
563        "is_find": true,
564        "is_backtrack": false
565    },
566    {
567        "nums": [
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569            81,
570            13,
571            7
572        ],
573        "target": 78,
574        "search_path": "70/7=10\n81-13=68\n10+68=78\nGoal Reached!",
575        "is_find": true,
576        "is_backtrack": false
577    },
578    {
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581            9,
582            81,
583            2
584        ],
585        "target": 13,
586        "search_path": "99*9=891\n891/81=11\n2+11=13\nGoal Reached!",
587        "is_find": true,
588        "is_backtrack": false
589    },
590    {
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593            77,
594            13,
595            78
596        ],
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598        "search_path": "38-13=25\n78-77=1\n25*1=25\nGoal Reached!",
599        "is_find": true,
600        "is_backtrack": false
601    },
602    {
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605            6,
606            2,
607            88
608        ],
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610        "search_path": "88-24=64\n6/2=3\n64+3=67\nGoal Reached!",
611        "is_find": true,
612        "is_backtrack": false
613    },
614    {
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618            17,
619            6
620        ],
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622        "search_path": "89-17=72\n72/6=12\n80+12=92\nGoal Reached!",
623        "is_find": true,
624        "is_backtrack": false
625    },
626    {
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630            77,
631            3
632        ],
633        "target": 78,
634        "search_path": "36-34=2\n77+3=80\n80-2=78\nGoal Reached!",
635        "is_find": true,
636        "is_backtrack": false
637    },
638    {
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641            32,
642            70,
643            26
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645        "target": 19,
646        "search_path": "44+70=114\n32-26=6\n114/6=19\nGoal Reached!",
647        "is_find": true,
648        "is_backtrack": false
649    },
650    {
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653            47,
654            12,
655            34
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657        "target": 21,
658        "search_path": "48-47=1\n34-12=22\n22-1=21\nGoal Reached!",
659        "is_find": true,
660        "is_backtrack": false
661    },
662    {
663        "nums": [
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665            68,
666            64,
667            5
668        ],
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670        "search_path": "86+64=150\n150/5=30\n68+30=98\nGoal Reached!",
671        "is_find": true,
672        "is_backtrack": false
673    },
674    {
675        "nums": [
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677            56,
678            19,
679            19
680        ],
681        "target": 84,
682        "search_path": "66+56=122\n19+19=38\n122-38=84\nGoal Reached!",
683        "is_find": true,
684        "is_backtrack": false
685    },
686    {
687        "nums": [
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689            2,
690            68,
691            32
692        ],
693        "target": 18,
694        "search_path": "96-68=28\n28/2=14\n32-14=18\nGoal Reached!",
695        "is_find": true,
696        "is_backtrack": false
697    },
698    {
699        "nums": [
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701            29,
702            30,
703            60
704        ],
705        "target": 11,
706        "search_path": "48-29=19\n60-30=30\n30-19=11\nGoal Reached!",
707        "is_find": true,
708        "is_backtrack": false
709    },
710    {
711        "nums": [
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713            4,
714            81,
715            80
716        ],
717        "target": 15,
718        "search_path": "59+81=140\n140-80=60\n60/4=15\nGoal Reached!",
719        "is_find": true,
720        "is_backtrack": false
721    },
722    {
723        "nums": [
724            38,
725            46,
726            68,
727            18
728        ],
729        "target": 20,
730        "search_path": "46*18=828\n828-68=760\n760/38=20\nGoal Reached!",
731        "is_find": true,
732        "is_backtrack": false
733    },
734    {
735        "nums": [
736            1,
737            22,
738            37,
739            1
740        ],
741        "target": 60,
742        "search_path": "1+22=23\n37*1=37\n23+37=60\nGoal Reached!",
743        "is_find": true,
744        "is_backtrack": false
745    },
746    {
747        "nums": [
748            29,
749            4,
750            99,
751            70
752        ],
753        "target": 38,
754        "search_path": "29+99=128\n128/4=32\n70-32=38\nGoal Reached!",
755        "is_find": true,
756        "is_backtrack": false
757    },
758    {
759        "nums": [
760            79,
761            57,
762            8,
763            11
764        ],
765        "target": 28,
766        "search_path": "79+57=136\n136/8=17\n11+17=28\nGoal Reached!",
767        "is_find": true,
768        "is_backtrack": false
769    },
770    {
771        "nums": [
772            66,
773            38,
774            23,
775            69
776        ],
777        "target": 64,
778        "search_path": "66-38=28\n23+69=92\n92-28=64\nGoal Reached!",
779        "is_find": true,
780        "is_backtrack": false
781    },
782    {
783        "nums": [
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785            91,
786            66,
787            61
788        ],
789        "target": 25,
790        "search_path": "91-61=30\n55*30=1650\n1650/66=25\nGoal Reached!",
791        "is_find": true,
792        "is_backtrack": false
793    },
794    {
795        "nums": [
796            69,
797            9,
798            3,
799            48
800        ],
801        "target": 82,
802        "search_path": "48-9=39\n39/3=13\n69+13=82\nGoal Reached!",
803        "is_find": true,
804        "is_backtrack": false
805    },
806    {
807        "nums": [
808            24,
809            17,
810            42,
811            1
812        ],
813        "target": 83,
814        "search_path": "24+17=41\n42*1=42\n41+42=83\nGoal Reached!",
815        "is_find": true,
816        "is_backtrack": false
817    },
818    {
819        "nums": [
820            82,
821            2,
822            70,
823            92
824        ],
825        "target": 50,
826        "search_path": "92-82=10\n2*10=20\n70-20=50\nGoal Reached!",
827        "is_find": true,
828        "is_backtrack": false
829    },
830    {
831        "nums": [
832            51,
833            21,
834            4,
835            31
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837        "target": 11,
838        "search_path": "31-21=10\n4*10=40\n51-40=11\nGoal Reached!",
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841    },
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845            14,
846            20,
847            69
848        ],
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850        "search_path": "27-20=7\n14/7=2\n69+2=71\nGoal Reached!",
851        "is_find": true,
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853    },
854    {
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857            7,
858            21,
859            33
860        ],
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862        "search_path": "44-7=37\n21+33=54\n54-37=17\nGoal Reached!",
863        "is_find": true,
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865    },
866    {
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869            21,
870            26,
871            28
872        ],
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874        "search_path": "44+21=65\n28-26=2\n65+2=67\nGoal Reached!",
875        "is_find": true,
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877    },
878    {
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881            63,
882            86,
883            66
884        ],
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886        "search_path": "28+63=91\n86+66=152\n152-91=61\nGoal Reached!",
887        "is_find": true,
888        "is_backtrack": false
889    },
890    {
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893            8,
894            84,
895            68
896        ],
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898        "search_path": "46*68=3128\n8+84=92\n3128/92=34\nGoal Reached!",
899        "is_find": true,
900        "is_backtrack": false
901    },
902    {
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905            83,
906            22,
907            25
908        ],
909        "target": 44,
910        "search_path": "83-25=58\n58/29=2\n22*2=44\nGoal Reached!",
911        "is_find": true,
912        "is_backtrack": false
913    },
914    {
915        "nums": [
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917            80,
918            25,
919            3
920        ],
921        "target": 19,
922        "search_path": "80-39=41\n25-3=22\n41-22=19\nGoal Reached!",
923        "is_find": true,
924        "is_backtrack": false
925    },
926    {
927        "nums": [
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929            63,
930            52,
931            2
932        ],
933        "target": 21,
934        "search_path": "52/52=1\n2+1=3\n63/3=21\nGoal Reached!",
935        "is_find": true,
936        "is_backtrack": false
937    },
938    {
939        "nums": [
940            98,
941            36,
942            54,
943            88
944        ],
945        "target": 11,
946        "search_path": "98-36=62\n62-54=8\n88/8=11\nGoal Reached!",
947        "is_find": true,
948        "is_backtrack": false
949    },
950    {
951        "nums": [
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953            27,
954            72,
955            81
956        ],
957        "target": 56,
958        "search_path": "27*72=1944\n1944/81=24\n80-24=56\nGoal Reached!",
959        "is_find": true,
960        "is_backtrack": false
961    },
962    {
963        "nums": [
964            2,
965            21,
966            69,
967            6
968        ],
969        "target": 33,
970        "search_path": "2*21=42\n69+6=75\n75-42=33\nGoal Reached!",
971        "is_find": true,
972        "is_backtrack": false
973    },
974    {
975        "nums": [
976            75,
977            66,
978            88,
979            37
980        ],
981        "target": 63,
982        "search_path": "75*88=6600\n6600/66=100\n100-37=63\nGoal Reached!",
983        "is_find": true,
984        "is_backtrack": false
985    },
986    {
987        "nums": [
988            90,
989            9,
990            33,
991            71
992        ],
993        "target": 68,
994        "search_path": "90+9=99\n99/33=3\n71-3=68\nGoal Reached!",
995        "is_find": true,
996        "is_backtrack": false
997    },
998    {
999        "nums": [
1000            9,
1001            77,
1002            7,
1003            75
1004        ],
1005        "target": 49,
1006        "search_path": "77-9=68\n75-68=7\n7*7=49\nGoal Reached!",
1007        "is_find": true,
1008        "is_backtrack": false
1009    },
1010    {
1011        "nums": [
1012            13,
1013            1,
1014            29,
1015            51
1016        ],
1017        "target": 36,
1018        "search_path": "13+1=14\n51-29=22\n14+22=36\nGoal Reached!",
1019        "is_find": true,
1020        "is_backtrack": false
1021    },
1022    {
1023        "nums": [
1024            8,
1025            98,
1026            18,
1027            10
1028        ],
1029        "target": 50,
1030        "search_path": "98-8=90\n90/18=5\n10*5=50\nGoal Reached!",
1031        "is_find": true,
1032        "is_backtrack": false
1033    },
1034    {
1035        "nums": [
1036            44,
1037            51,
1038            75,
1039            59
1040        ],
1041        "target": 79,
1042        "search_path": "44+51=95\n75-59=16\n95-16=79\nGoal Reached!",
1043        "is_find": true,
1044        "is_backtrack": false
1045    },
1046    {
1047        "nums": [
1048            51,
1049            22,
1050            55,
1051            62
1052        ],
1053        "target": 36,
1054        "search_path": "51-22=29\n62-55=7\n29+7=36\nGoal Reached!",
1055        "is_find": true,
1056        "is_backtrack": false
1057    },
1058    {
1059        "nums": [
1060            2,
1061            59,
1062            50,
1063            12
1064        ],
1065        "target": 44,
1066        "search_path": "59-12=47\n2*47=94\n94-50=44\nGoal Reached!",
1067        "is_find": true,
1068        "is_backtrack": false
1069    },
1070    {
1071        "nums": [
1072            70,
1073            19,
1074            12,
1075            38
1076        ],
1077        "target": 77,
1078        "search_path": "70-19=51\n38-12=26\n51+26=77\nGoal Reached!",
1079        "is_find": true,
1080        "is_backtrack": false
1081    },
1082    {
1083        "nums": [
1084            18,
1085            70,
1086            7,
1087            62
1088        ],
1089        "target": 12,
1090        "search_path": "18-7=11\n70+62=132\n132/11=12\nGoal Reached!",
1091        "is_find": true,
1092        "is_backtrack": false
1093    },
1094    {
1095        "nums": [
1096            48,
1097            18,
1098            95,
1099            63
1100        ],
1101        "target": 27,
1102        "search_path": "48*18=864\n95-63=32\n864/32=27\nGoal Reached!",
1103        "is_find": true,
1104        "is_backtrack": false
1105    },
1106    {
1107        "nums": [
1108            97,
1109            88,
1110            76,
1111            3
1112        ],
1113        "target": 43,
1114        "search_path": "97+88=185\n76*3=228\n228-185=43\nGoal Reached!",
1115        "is_find": true,
1116        "is_backtrack": false
1117    },
1118    {
1119        "nums": [
1120            22,
1121            52,
1122            44,
1123            63
1124        ],
1125        "target": 49,
1126        "search_path": "52-22=30\n63-44=19\n30+19=49\nGoal Reached!",
1127        "is_find": true,
1128        "is_backtrack": false
1129    },
1130    {
1131        "nums": [
1132            77,
1133            10,
1134            12,
1135            23
1136        ],
1137        "target": 77,
1138        "search_path": "10+12=22\n23-22=1\n77*1=77\nGoal Reached!",
1139        "is_find": true,
1140        "is_backtrack": false
1141    },
1142    {
1143        "nums": [
1144            80,
1145            55,
1146            93,
1147            23
1148        ],
1149        "target": 45,
1150        "search_path": "80-55=25\n93-23=70\n70-25=45\nGoal Reached!",
1151        "is_find": true,
1152        "is_backtrack": false
1153    },
1154    {
1155        "nums": [
1156            16,
1157            33,
1158            22,
1159            63
1160        ],
1161        "target": 68,
1162        "search_path": "33-16=17\n22+63=85\n85-17=68\nGoal Reached!",
1163        "is_find": true,
1164        "is_backtrack": false
1165    },
1166    {
1167        "nums": [
1168            92,
1169            2,
1170            84,
1171            23
1172        ],
1173        "target": 86,
1174        "search_path": "92/2=46\n46/23=2\n84+2=86\nGoal Reached!",
1175        "is_find": true,
1176        "is_backtrack": false
1177    },
1178    {
1179        "nums": [
1180            30,
1181            99,
1182            2,
1183            35
1184        ],
1185        "target": 97,
1186        "search_path": "99+35=134\n134/2=67\n30+67=97\nGoal Reached!",
1187        "is_find": true,
1188        "is_backtrack": false
1189    },
1190    {
1191        "nums": [
1192            2,
1193            89,
1194            91,
1195            54
1196        ],
1197        "target": 36,
1198        "search_path": "89+91=180\n180/2=90\n90-54=36\nGoal Reached!",
1199        "is_find": true,
1200        "is_backtrack": false

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