Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 98, 93, 54, 89 ]
38
[ "98+54=152", "93-89=4", "152/4=38" ]
Current State: 38:[98, 93, 54, 89], Operations: [] Exploring Operation: 98+54=152, Resulting Numbers: [93, 89, 152] Generated Node #2: [93, 89, 152] from Operation: 98+54=152 Current State: 38:[93, 89, 152], Operations: ['98+54=152'] Exploring Operation: 93-89=4, Resulting Numbers: [152, 4] Generated Node #3: [152, 4] from Operation: 93-89=4 Current State: 38:[152, 4], Operations: ['98+54=152', '93-89=4'] Exploring Operation: 152/4=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 78, 81, 72, 6 ]
69
[ "81-78=3", "72-6=66", "3+66=69" ]
Current State: 69:[78, 81, 72, 6], Operations: [] Exploring Operation: 81-78=3, Resulting Numbers: [72, 6, 3] Generated Node #2: [72, 6, 3] from Operation: 81-78=3 Current State: 69:[72, 6, 3], Operations: ['81-78=3'] Exploring Operation: 72-6=66, Resulting Numbers: [3, 66] Generated Node #3: [3, 66] from Operation: 72-6=66 Current State: 69:[3, 66], Operations: ['81-78=3', '72-6=66'] Exploring Operation: 3+66=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 5, 31, 87, 74 ]
66
[ "31+74=105", "105/5=21", "87-21=66" ]
Current State: 66:[5, 31, 87, 74], Operations: [] Exploring Operation: 31+74=105, Resulting Numbers: [5, 87, 105] Generated Node #2: [5, 87, 105] from Operation: 31+74=105 Current State: 66:[5, 87, 105], Operations: ['31+74=105'] Exploring Operation: 105/5=21, Resulting Numbers: [87, 21] Generated Node #3: [87, 21] from Operation: 105/5=21 Current State: 66:[87, 21], Operations: ['31+74=105', '105/5=21'] Exploring Operation: 87-21=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 25, 49, 4, 62 ]
48
[ "25+49=74", "74-62=12", "4*12=48" ]
Current State: 48:[25, 49, 4, 62], Operations: [] Exploring Operation: 25+49=74, Resulting Numbers: [4, 62, 74] Generated Node #2: [4, 62, 74] from Operation: 25+49=74 Current State: 48:[4, 62, 74], Operations: ['25+49=74'] Exploring Operation: 74-62=12, Resulting Numbers: [4, 12] Generated Node #3: [4, 12] from Operation: 74-62=12 Current State: 48:[4, 12], Operations: ['25+49=74', '74-62=12'] Exploring Operation: 4*12=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 15, 16, 55, 31 ]
56
[ "15+16=31", "31/31=1", "55+1=56" ]
Current State: 56:[15, 16, 55, 31], Operations: [] Exploring Operation: 15+16=31, Resulting Numbers: [55, 31, 31] Generated Node #2: [55, 31, 31] from Operation: 15+16=31 Current State: 56:[55, 31, 31], Operations: ['15+16=31'] Exploring Operation: 31/31=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 31/31=1 Current State: 56:[55, 1], Operations: ['15+16=31', '31/31=1'] Exploring Operation: 55+1=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 86, 15, 6, 56 ]
14
[ "15*6=90", "90-86=4", "56/4=14" ]
Current State: 14:[86, 15, 6, 56], Operations: [] Exploring Operation: 15*6=90, Resulting Numbers: [86, 56, 90] Generated Node #2: [86, 56, 90] from Operation: 15*6=90 Current State: 14:[86, 56, 90], Operations: ['15*6=90'] Exploring Operation: 90-86=4, Resulting Numbers: [56, 4] Generated Node #3: [56, 4] from Operation: 90-86=4 Current State: 14:[56, 4], Operations: ['15*6=90', '90-86=4'] Exploring Operation: 56/4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 50, 95, 5, 75 ]
66
[ "95-50=45", "45/5=9", "75-9=66" ]
Current State: 66:[50, 95, 5, 75], Operations: [] Exploring Operation: 95-50=45, Resulting Numbers: [5, 75, 45] Generated Node #2: [5, 75, 45] from Operation: 95-50=45 Current State: 66:[5, 75, 45], Operations: ['95-50=45'] Exploring Operation: 45/5=9, Resulting Numbers: [75, 9] Generated Node #3: [75, 9] from Operation: 45/5=9 Current State: 66:[75, 9], Operations: ['95-50=45', '45/5=9'] Exploring Operation: 75-9=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 55, 28, 8, 21 ]
13
[ "55+28=83", "21+83=104", "104/8=13" ]
Current State: 13:[55, 28, 8, 21], Operations: [] Exploring Operation: 55+28=83, Resulting Numbers: [8, 21, 83] Generated Node #2: [8, 21, 83] from Operation: 55+28=83 Current State: 13:[8, 21, 83], Operations: ['55+28=83'] Exploring Operation: 21+83=104, Resulting Numbers: [8, 104] Generated Node #3: [8, 104] from Operation: 21+83=104 Current State: 13:[8, 104], Operations: ['55+28=83', '21+83=104'] Exploring Operation: 104/8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 96, 1, 60, 70 ]
85
[ "96-1=95", "70-60=10", "95-10=85" ]
Current State: 85:[96, 1, 60, 70], Operations: [] Exploring Operation: 96-1=95, Resulting Numbers: [60, 70, 95] Generated Node #2: [60, 70, 95] from Operation: 96-1=95 Current State: 85:[60, 70, 95], Operations: ['96-1=95'] Exploring Operation: 70-60=10, Resulting Numbers: [95, 10] Generated Node #3: [95, 10] from Operation: 70-60=10 Current State: 85:[95, 10], Operations: ['96-1=95', '70-60=10'] Exploring Operation: 95-10=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 27, 56, 19, 15 ]
52
[ "19-15=4", "27*4=108", "108-56=52" ]
Current State: 52:[27, 56, 19, 15], Operations: [] Exploring Operation: 19-15=4, Resulting Numbers: [27, 56, 4] Generated Node #2: [27, 56, 4] from Operation: 19-15=4 Current State: 52:[27, 56, 4], Operations: ['19-15=4'] Exploring Operation: 27*4=108, Resulting Numbers: [56, 108] Generated Node #3: [56, 108] from Operation: 27*4=108 Current State: 52:[56, 108], Operations: ['19-15=4', '27*4=108'] Exploring Operation: 108-56=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 71, 94, 94, 52 ]
18
[ "71-52=19", "94/94=1", "19-1=18" ]
Current State: 18:[71, 94, 94, 52], Operations: [] Exploring Operation: 71-52=19, Resulting Numbers: [94, 94, 19] Generated Node #2: [94, 94, 19] from Operation: 71-52=19 Current State: 18:[94, 94, 19], Operations: ['71-52=19'] Exploring Operation: 94/94=1, Resulting Numbers: [19, 1] Generated Node #3: [19, 1] from Operation: 94/94=1 Current State: 18:[19, 1], Operations: ['71-52=19', '94/94=1'] Exploring Operation: 19-1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 50, 20, 34, 4 ]
89
[ "50+34=84", "20/4=5", "84+5=89" ]
Current State: 89:[50, 20, 34, 4], Operations: [] Exploring Operation: 50+34=84, Resulting Numbers: [20, 4, 84] Generated Node #2: [20, 4, 84] from Operation: 50+34=84 Current State: 89:[20, 4, 84], Operations: ['50+34=84'] Exploring Operation: 20/4=5, Resulting Numbers: [84, 5] Generated Node #3: [84, 5] from Operation: 20/4=5 Current State: 89:[84, 5], Operations: ['50+34=84', '20/4=5'] Exploring Operation: 84+5=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 4, 3, 53, 67 ]
38
[ "67-53=14", "3*14=42", "42-4=38" ]
Current State: 38:[4, 3, 53, 67], Operations: [] Exploring Operation: 67-53=14, Resulting Numbers: [4, 3, 14] Generated Node #2: [4, 3, 14] from Operation: 67-53=14 Current State: 38:[4, 3, 14], Operations: ['67-53=14'] Exploring Operation: 3*14=42, Resulting Numbers: [4, 42] Generated Node #3: [4, 42] from Operation: 3*14=42 Current State: 38:[4, 42], Operations: ['67-53=14', '3*14=42'] Exploring Operation: 42-4=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 38, 70, 79, 93 ]
46
[ "70-38=32", "93-79=14", "32+14=46" ]
Current State: 46:[38, 70, 79, 93], Operations: [] Exploring Operation: 70-38=32, Resulting Numbers: [79, 93, 32] Generated Node #2: [79, 93, 32] from Operation: 70-38=32 Current State: 46:[79, 93, 32], Operations: ['70-38=32'] Exploring Operation: 93-79=14, Resulting Numbers: [32, 14] Generated Node #3: [32, 14] from Operation: 93-79=14 Current State: 46:[32, 14], Operations: ['70-38=32', '93-79=14'] Exploring Operation: 32+14=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 94, 85, 83, 17 ]
70
[ "94-85=9", "17*9=153", "153-83=70" ]
Current State: 70:[94, 85, 83, 17], Operations: [] Exploring Operation: 94-85=9, Resulting Numbers: [83, 17, 9] Generated Node #2: [83, 17, 9] from Operation: 94-85=9 Current State: 70:[83, 17, 9], Operations: ['94-85=9'] Exploring Operation: 17*9=153, Resulting Numbers: [83, 153] Generated Node #3: [83, 153] from Operation: 17*9=153 Current State: 70:[83, 153], Operations: ['94-85=9', '17*9=153'] Exploring Operation: 153-83=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 6, 4, 61, 11 ]
26
[ "6*4=24", "61-11=50", "50-24=26" ]
Current State: 26:[6, 4, 61, 11], Operations: [] Exploring Operation: 6*4=24, Resulting Numbers: [61, 11, 24] Generated Node #2: [61, 11, 24] from Operation: 6*4=24 Current State: 26:[61, 11, 24], Operations: ['6*4=24'] Exploring Operation: 61-11=50, Resulting Numbers: [24, 50] Generated Node #3: [24, 50] from Operation: 61-11=50 Current State: 26:[24, 50], Operations: ['6*4=24', '61-11=50'] Exploring Operation: 50-24=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 90, 33, 60, 10 ]
44
[ "90-10=80", "33*80=2640", "2640/60=44" ]
Current State: 44:[90, 33, 60, 10], Operations: [] Exploring Operation: 90-10=80, Resulting Numbers: [33, 60, 80] Generated Node #2: [33, 60, 80] from Operation: 90-10=80 Current State: 44:[33, 60, 80], Operations: ['90-10=80'] Exploring Operation: 33*80=2640, Resulting Numbers: [60, 2640] Generated Node #3: [60, 2640] from Operation: 33*80=2640 Current State: 44:[60, 2640], Operations: ['90-10=80', '33*80=2640'] Exploring Operation: 2640/60=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 99, 1, 20, 46 ]
72
[ "99-1=98", "46-20=26", "98-26=72" ]
Current State: 72:[99, 1, 20, 46], Operations: [] Exploring Operation: 99-1=98, Resulting Numbers: [20, 46, 98] Generated Node #2: [20, 46, 98] from Operation: 99-1=98 Current State: 72:[20, 46, 98], Operations: ['99-1=98'] Exploring Operation: 46-20=26, Resulting Numbers: [98, 26] Generated Node #3: [98, 26] from Operation: 46-20=26 Current State: 72:[98, 26], Operations: ['99-1=98', '46-20=26'] Exploring Operation: 98-26=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 83, 82, 72, 91 ]
74
[ "83*82=6806", "6806-72=6734", "6734/91=74" ]
Current State: 74:[83, 82, 72, 91], Operations: [] Exploring Operation: 83*82=6806, Resulting Numbers: [72, 91, 6806] Generated Node #2: [72, 91, 6806] from Operation: 83*82=6806 Current State: 74:[72, 91, 6806], Operations: ['83*82=6806'] Exploring Operation: 6806-72=6734, Resulting Numbers: [91, 6734] Generated Node #3: [91, 6734] from Operation: 6806-72=6734 Current State: 74:[91, 6734], Operations: ['83*82=6806', '6806-72=6734'] Exploring Operation: 6734/91=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 68, 76, 54, 98 ]
34
[ "68*76=5168", "54+98=152", "5168/152=34" ]
Current State: 34:[68, 76, 54, 98], Operations: [] Exploring Operation: 68*76=5168, Resulting Numbers: [54, 98, 5168] Generated Node #2: [54, 98, 5168] from Operation: 68*76=5168 Current State: 34:[54, 98, 5168], Operations: ['68*76=5168'] Exploring Operation: 54+98=152, Resulting Numbers: [5168, 152] Generated Node #3: [5168, 152] from Operation: 54+98=152 Current State: 34:[5168, 152], Operations: ['68*76=5168', '54+98=152'] Exploring Operation: 5168/152=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 2, 71, 62, 65 ]
70
[ "2+71=73", "65-62=3", "73-3=70" ]
Current State: 70:[2, 71, 62, 65], Operations: [] Exploring Operation: 2+71=73, Resulting Numbers: [62, 65, 73] Generated Node #2: [62, 65, 73] from Operation: 2+71=73 Current State: 70:[62, 65, 73], Operations: ['2+71=73'] Exploring Operation: 65-62=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 65-62=3 Current State: 70:[73, 3], Operations: ['2+71=73', '65-62=3'] Exploring Operation: 73-3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 54, 48, 11, 8 ]
71
[ "54+11=65", "48/8=6", "65+6=71" ]
Current State: 71:[54, 48, 11, 8], Operations: [] Exploring Operation: 54+11=65, Resulting Numbers: [48, 8, 65] Generated Node #2: [48, 8, 65] from Operation: 54+11=65 Current State: 71:[48, 8, 65], Operations: ['54+11=65'] Exploring Operation: 48/8=6, Resulting Numbers: [65, 6] Generated Node #3: [65, 6] from Operation: 48/8=6 Current State: 71:[65, 6], Operations: ['54+11=65', '48/8=6'] Exploring Operation: 65+6=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 45, 43, 65, 70 ]
39
[ "70-43=27", "65*27=1755", "1755/45=39" ]
Current State: 39:[45, 43, 65, 70], Operations: [] Exploring Operation: 70-43=27, Resulting Numbers: [45, 65, 27] Generated Node #2: [45, 65, 27] from Operation: 70-43=27 Current State: 39:[45, 65, 27], Operations: ['70-43=27'] Exploring Operation: 65*27=1755, Resulting Numbers: [45, 1755] Generated Node #3: [45, 1755] from Operation: 65*27=1755 Current State: 39:[45, 1755], Operations: ['70-43=27', '65*27=1755'] Exploring Operation: 1755/45=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 1, 54, 7, 41 ]
90
[ "54-41=13", "7*13=91", "91-1=90" ]
Current State: 90:[1, 54, 7, 41], Operations: [] Exploring Operation: 54-41=13, Resulting Numbers: [1, 7, 13] Generated Node #2: [1, 7, 13] from Operation: 54-41=13 Current State: 90:[1, 7, 13], Operations: ['54-41=13'] Exploring Operation: 7*13=91, Resulting Numbers: [1, 91] Generated Node #3: [1, 91] from Operation: 7*13=91 Current State: 90:[1, 91], Operations: ['54-41=13', '7*13=91'] Exploring Operation: 91-1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 45, 1, 57, 6 ]
48
[ "6-1=5", "45/5=9", "57-9=48" ]
Current State: 48:[45, 1, 57, 6], Operations: [] Exploring Operation: 6-1=5, Resulting Numbers: [45, 57, 5] Generated Node #2: [45, 57, 5] from Operation: 6-1=5 Current State: 48:[45, 57, 5], Operations: ['6-1=5'] Exploring Operation: 45/5=9, Resulting Numbers: [57, 9] Generated Node #3: [57, 9] from Operation: 45/5=9 Current State: 48:[57, 9], Operations: ['6-1=5', '45/5=9'] Exploring Operation: 57-9=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 37, 26, 72, 41 ]
42
[ "37-26=11", "72-41=31", "11+31=42" ]
Current State: 42:[37, 26, 72, 41], Operations: [] Exploring Operation: 37-26=11, Resulting Numbers: [72, 41, 11] Generated Node #2: [72, 41, 11] from Operation: 37-26=11 Current State: 42:[72, 41, 11], Operations: ['37-26=11'] Exploring Operation: 72-41=31, Resulting Numbers: [11, 31] Generated Node #3: [11, 31] from Operation: 72-41=31 Current State: 42:[11, 31], Operations: ['37-26=11', '72-41=31'] Exploring Operation: 11+31=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 84, 8, 28, 19 ]
83
[ "84+8=92", "28-19=9", "92-9=83" ]
Current State: 83:[84, 8, 28, 19], Operations: [] Exploring Operation: 84+8=92, Resulting Numbers: [28, 19, 92] Generated Node #2: [28, 19, 92] from Operation: 84+8=92 Current State: 83:[28, 19, 92], Operations: ['84+8=92'] Exploring Operation: 28-19=9, Resulting Numbers: [92, 9] Generated Node #3: [92, 9] from Operation: 28-19=9 Current State: 83:[92, 9], Operations: ['84+8=92', '28-19=9'] Exploring Operation: 92-9=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 6, 15, 51, 68 ]
38
[ "6+15=21", "68-51=17", "21+17=38" ]
Current State: 38:[6, 15, 51, 68], Operations: [] Exploring Operation: 6+15=21, Resulting Numbers: [51, 68, 21] Generated Node #2: [51, 68, 21] from Operation: 6+15=21 Current State: 38:[51, 68, 21], Operations: ['6+15=21'] Exploring Operation: 68-51=17, Resulting Numbers: [21, 17] Generated Node #3: [21, 17] from Operation: 68-51=17 Current State: 38:[21, 17], Operations: ['6+15=21', '68-51=17'] Exploring Operation: 21+17=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 8, 89, 40, 51 ]
86
[ "8+89=97", "51-40=11", "97-11=86" ]
Current State: 86:[8, 89, 40, 51], Operations: [] Exploring Operation: 8+89=97, Resulting Numbers: [40, 51, 97] Generated Node #2: [40, 51, 97] from Operation: 8+89=97 Current State: 86:[40, 51, 97], Operations: ['8+89=97'] Exploring Operation: 51-40=11, Resulting Numbers: [97, 11] Generated Node #3: [97, 11] from Operation: 51-40=11 Current State: 86:[97, 11], Operations: ['8+89=97', '51-40=11'] Exploring Operation: 97-11=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 67, 92, 49, 23 ]
47
[ "92-67=25", "49+23=72", "72-25=47" ]
Current State: 47:[67, 92, 49, 23], Operations: [] Exploring Operation: 92-67=25, Resulting Numbers: [49, 23, 25] Generated Node #2: [49, 23, 25] from Operation: 92-67=25 Current State: 47:[49, 23, 25], Operations: ['92-67=25'] Exploring Operation: 49+23=72, Resulting Numbers: [25, 72] Generated Node #3: [25, 72] from Operation: 49+23=72 Current State: 47:[25, 72], Operations: ['92-67=25', '49+23=72'] Exploring Operation: 72-25=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 75, 71, 98, 57 ]
45
[ "75-71=4", "98-57=41", "4+41=45" ]
Current State: 45:[75, 71, 98, 57], Operations: [] Exploring Operation: 75-71=4, Resulting Numbers: [98, 57, 4] Generated Node #2: [98, 57, 4] from Operation: 75-71=4 Current State: 45:[98, 57, 4], Operations: ['75-71=4'] Exploring Operation: 98-57=41, Resulting Numbers: [4, 41] Generated Node #3: [4, 41] from Operation: 98-57=41 Current State: 45:[4, 41], Operations: ['75-71=4', '98-57=41'] Exploring Operation: 4+41=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 53, 60, 51, 81 ]
44
[ "60-51=9", "81/9=9", "53-9=44" ]
Current State: 44:[53, 60, 51, 81], Operations: [] Exploring Operation: 60-51=9, Resulting Numbers: [53, 81, 9] Generated Node #2: [53, 81, 9] from Operation: 60-51=9 Current State: 44:[53, 81, 9], Operations: ['60-51=9'] Exploring Operation: 81/9=9, Resulting Numbers: [53, 9] Generated Node #3: [53, 9] from Operation: 81/9=9 Current State: 44:[53, 9], Operations: ['60-51=9', '81/9=9'] Exploring Operation: 53-9=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 87, 22, 98, 55 ]
74
[ "87+98=185", "22*185=4070", "4070/55=74" ]
Current State: 74:[87, 22, 98, 55], Operations: [] Exploring Operation: 87+98=185, Resulting Numbers: [22, 55, 185] Generated Node #2: [22, 55, 185] from Operation: 87+98=185 Current State: 74:[22, 55, 185], Operations: ['87+98=185'] Exploring Operation: 22*185=4070, Resulting Numbers: [55, 4070] Generated Node #3: [55, 4070] from Operation: 22*185=4070 Current State: 74:[55, 4070], Operations: ['87+98=185', '22*185=4070'] Exploring Operation: 4070/55=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 18, 39, 5, 16 ]
17
[ "18-16=2", "39-5=34", "34/2=17" ]
Current State: 17:[18, 39, 5, 16], Operations: [] Exploring Operation: 18-16=2, Resulting Numbers: [39, 5, 2] Generated Node #2: [39, 5, 2] from Operation: 18-16=2 Current State: 17:[39, 5, 2], Operations: ['18-16=2'] Exploring Operation: 39-5=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 39-5=34 Current State: 17:[2, 34], Operations: ['18-16=2', '39-5=34'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 33, 57, 55, 62 ]
58
[ "62-33=29", "57-55=2", "29*2=58" ]
Current State: 58:[33, 57, 55, 62], Operations: [] Exploring Operation: 62-33=29, Resulting Numbers: [57, 55, 29] Generated Node #2: [57, 55, 29] from Operation: 62-33=29 Current State: 58:[57, 55, 29], Operations: ['62-33=29'] Exploring Operation: 57-55=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 57-55=2 Current State: 58:[29, 2], Operations: ['62-33=29', '57-55=2'] Exploring Operation: 29*2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 81, 5, 24, 30 ]
63
[ "81-24=57", "30/5=6", "57+6=63" ]
Current State: 63:[81, 5, 24, 30], Operations: [] Exploring Operation: 81-24=57, Resulting Numbers: [5, 30, 57] Generated Node #2: [5, 30, 57] from Operation: 81-24=57 Current State: 63:[5, 30, 57], Operations: ['81-24=57'] Exploring Operation: 30/5=6, Resulting Numbers: [57, 6] Generated Node #3: [57, 6] from Operation: 30/5=6 Current State: 63:[57, 6], Operations: ['81-24=57', '30/5=6'] Exploring Operation: 57+6=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 35, 6, 60, 1 ]
46
[ "35+1=36", "60/6=10", "36+10=46" ]
Current State: 46:[35, 6, 60, 1], Operations: [] Exploring Operation: 35+1=36, Resulting Numbers: [6, 60, 36] Generated Node #2: [6, 60, 36] from Operation: 35+1=36 Current State: 46:[6, 60, 36], Operations: ['35+1=36'] Exploring Operation: 60/6=10, Resulting Numbers: [36, 10] Generated Node #3: [36, 10] from Operation: 60/6=10 Current State: 46:[36, 10], Operations: ['35+1=36', '60/6=10'] Exploring Operation: 36+10=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 36, 77, 9, 93 ]
20
[ "36/9=4", "93-77=16", "4+16=20" ]
Current State: 20:[36, 77, 9, 93], Operations: [] Exploring Operation: 36/9=4, Resulting Numbers: [77, 93, 4] Generated Node #2: [77, 93, 4] from Operation: 36/9=4 Current State: 20:[77, 93, 4], Operations: ['36/9=4'] Exploring Operation: 93-77=16, Resulting Numbers: [4, 16] Generated Node #3: [4, 16] from Operation: 93-77=16 Current State: 20:[4, 16], Operations: ['36/9=4', '93-77=16'] Exploring Operation: 4+16=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 42, 17, 43, 63 ]
68
[ "42+43=85", "85/17=5", "63+5=68" ]
Current State: 68:[42, 17, 43, 63], Operations: [] Exploring Operation: 42+43=85, Resulting Numbers: [17, 63, 85] Generated Node #2: [17, 63, 85] from Operation: 42+43=85 Current State: 68:[17, 63, 85], Operations: ['42+43=85'] Exploring Operation: 85/17=5, Resulting Numbers: [63, 5] Generated Node #3: [63, 5] from Operation: 85/17=5 Current State: 68:[63, 5], Operations: ['42+43=85', '85/17=5'] Exploring Operation: 63+5=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 2, 47, 99, 78 ]
34
[ "47+99=146", "146-78=68", "68/2=34" ]
Current State: 34:[2, 47, 99, 78], Operations: [] Exploring Operation: 47+99=146, Resulting Numbers: [2, 78, 146] Generated Node #2: [2, 78, 146] from Operation: 47+99=146 Current State: 34:[2, 78, 146], Operations: ['47+99=146'] Exploring Operation: 146-78=68, Resulting Numbers: [2, 68] Generated Node #3: [2, 68] from Operation: 146-78=68 Current State: 34:[2, 68], Operations: ['47+99=146', '146-78=68'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 65, 31, 72, 26 ]
35
[ "72-65=7", "31-26=5", "7*5=35" ]
Current State: 35:[65, 31, 72, 26], Operations: [] Exploring Operation: 72-65=7, Resulting Numbers: [31, 26, 7] Generated Node #2: [31, 26, 7] from Operation: 72-65=7 Current State: 35:[31, 26, 7], Operations: ['72-65=7'] Exploring Operation: 31-26=5, Resulting Numbers: [7, 5] Generated Node #3: [7, 5] from Operation: 31-26=5 Current State: 35:[7, 5], Operations: ['72-65=7', '31-26=5'] Exploring Operation: 7*5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 10, 21, 24, 29 ]
48
[ "10+21=31", "31-29=2", "24*2=48" ]
Current State: 48:[10, 21, 24, 29], Operations: [] Exploring Operation: 10+21=31, Resulting Numbers: [24, 29, 31] Generated Node #2: [24, 29, 31] from Operation: 10+21=31 Current State: 48:[24, 29, 31], Operations: ['10+21=31'] Exploring Operation: 31-29=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 31-29=2 Current State: 48:[24, 2], Operations: ['10+21=31', '31-29=2'] Exploring Operation: 24*2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 94, 38, 74, 35 ]
53
[ "94-38=56", "74+35=109", "109-56=53" ]
Current State: 53:[94, 38, 74, 35], Operations: [] Exploring Operation: 94-38=56, Resulting Numbers: [74, 35, 56] Generated Node #2: [74, 35, 56] from Operation: 94-38=56 Current State: 53:[74, 35, 56], Operations: ['94-38=56'] Exploring Operation: 74+35=109, Resulting Numbers: [56, 109] Generated Node #3: [56, 109] from Operation: 74+35=109 Current State: 53:[56, 109], Operations: ['94-38=56', '74+35=109'] Exploring Operation: 109-56=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 7, 17, 98, 6 ]
82
[ "17-7=10", "98-6=92", "92-10=82" ]
Current State: 82:[7, 17, 98, 6], Operations: [] Exploring Operation: 17-7=10, Resulting Numbers: [98, 6, 10] Generated Node #2: [98, 6, 10] from Operation: 17-7=10 Current State: 82:[98, 6, 10], Operations: ['17-7=10'] Exploring Operation: 98-6=92, Resulting Numbers: [10, 92] Generated Node #3: [10, 92] from Operation: 98-6=92 Current State: 82:[10, 92], Operations: ['17-7=10', '98-6=92'] Exploring Operation: 92-10=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 93, 43, 65, 66 ]
90
[ "65-43=22", "66/22=3", "93-3=90" ]
Current State: 90:[93, 43, 65, 66], Operations: [] Exploring Operation: 65-43=22, Resulting Numbers: [93, 66, 22] Generated Node #2: [93, 66, 22] from Operation: 65-43=22 Current State: 90:[93, 66, 22], Operations: ['65-43=22'] Exploring Operation: 66/22=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 66/22=3 Current State: 90:[93, 3], Operations: ['65-43=22', '66/22=3'] Exploring Operation: 93-3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 13, 39, 73, 78 ]
28
[ "78/13=6", "73-39=34", "34-6=28" ]
Current State: 28:[13, 39, 73, 78], Operations: [] Exploring Operation: 78/13=6, Resulting Numbers: [39, 73, 6] Generated Node #2: [39, 73, 6] from Operation: 78/13=6 Current State: 28:[39, 73, 6], Operations: ['78/13=6'] Exploring Operation: 73-39=34, Resulting Numbers: [6, 34] Generated Node #3: [6, 34] from Operation: 73-39=34 Current State: 28:[6, 34], Operations: ['78/13=6', '73-39=34'] Exploring Operation: 34-6=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 66, 73, 32, 3 ]
43
[ "66+73=139", "32*3=96", "139-96=43" ]
Current State: 43:[66, 73, 32, 3], Operations: [] Exploring Operation: 66+73=139, Resulting Numbers: [32, 3, 139] Generated Node #2: [32, 3, 139] from Operation: 66+73=139 Current State: 43:[32, 3, 139], Operations: ['66+73=139'] Exploring Operation: 32*3=96, Resulting Numbers: [139, 96] Generated Node #3: [139, 96] from Operation: 32*3=96 Current State: 43:[139, 96], Operations: ['66+73=139', '32*3=96'] Exploring Operation: 139-96=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 63, 97, 7, 50 ]
42
[ "97+50=147", "147/7=21", "63-21=42" ]
Current State: 42:[63, 97, 7, 50], Operations: [] Exploring Operation: 97+50=147, Resulting Numbers: [63, 7, 147] Generated Node #2: [63, 7, 147] from Operation: 97+50=147 Current State: 42:[63, 7, 147], Operations: ['97+50=147'] Exploring Operation: 147/7=21, Resulting Numbers: [63, 21] Generated Node #3: [63, 21] from Operation: 147/7=21 Current State: 42:[63, 21], Operations: ['97+50=147', '147/7=21'] Exploring Operation: 63-21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 36, 49, 51, 42 ]
39
[ "36+42=78", "51-49=2", "78/2=39" ]
Current State: 39:[36, 49, 51, 42], Operations: [] Exploring Operation: 36+42=78, Resulting Numbers: [49, 51, 78] Generated Node #2: [49, 51, 78] from Operation: 36+42=78 Current State: 39:[49, 51, 78], Operations: ['36+42=78'] Exploring Operation: 51-49=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 51-49=2 Current State: 39:[78, 2], Operations: ['36+42=78', '51-49=2'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 71, 50, 49, 50 ]
71
[ "50-50=0", "49*0=0", "71+0=71" ]
Current State: 71:[71, 50, 49, 50], Operations: [] Exploring Operation: 50-50=0, Resulting Numbers: [71, 49, 0] Generated Node #2: [71, 49, 0] from Operation: 50-50=0 Current State: 71:[71, 49, 0], Operations: ['50-50=0'] Exploring Operation: 49*0=0, Resulting Numbers: [71, 0] Generated Node #3: [71, 0] from Operation: 49*0=0 Current State: 71:[71, 0], Operations: ['50-50=0', '49*0=0'] Exploring Operation: 71+0=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 8, 3, 22, 93 ]
86
[ "8*22=176", "93-3=90", "176-90=86" ]
Current State: 86:[8, 3, 22, 93], Operations: [] Exploring Operation: 8*22=176, Resulting Numbers: [3, 93, 176] Generated Node #2: [3, 93, 176] from Operation: 8*22=176 Current State: 86:[3, 93, 176], Operations: ['8*22=176'] Exploring Operation: 93-3=90, Resulting Numbers: [176, 90] Generated Node #3: [176, 90] from Operation: 93-3=90 Current State: 86:[176, 90], Operations: ['8*22=176', '93-3=90'] Exploring Operation: 176-90=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 25, 33, 40, 45 ]
63
[ "25+33=58", "45-40=5", "58+5=63" ]
Current State: 63:[25, 33, 40, 45], Operations: [] Exploring Operation: 25+33=58, Resulting Numbers: [40, 45, 58] Generated Node #2: [40, 45, 58] from Operation: 25+33=58 Current State: 63:[40, 45, 58], Operations: ['25+33=58'] Exploring Operation: 45-40=5, Resulting Numbers: [58, 5] Generated Node #3: [58, 5] from Operation: 45-40=5 Current State: 63:[58, 5], Operations: ['25+33=58', '45-40=5'] Exploring Operation: 58+5=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 37, 2, 93, 77 ]
45
[ "93-77=16", "16/2=8", "37+8=45" ]
Current State: 45:[37, 2, 93, 77], Operations: [] Exploring Operation: 93-77=16, Resulting Numbers: [37, 2, 16] Generated Node #2: [37, 2, 16] from Operation: 93-77=16 Current State: 45:[37, 2, 16], Operations: ['93-77=16'] Exploring Operation: 16/2=8, Resulting Numbers: [37, 8] Generated Node #3: [37, 8] from Operation: 16/2=8 Current State: 45:[37, 8], Operations: ['93-77=16', '16/2=8'] Exploring Operation: 37+8=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 63, 18, 37, 67 ]
51
[ "63+18=81", "67-37=30", "81-30=51" ]
Current State: 51:[63, 18, 37, 67], Operations: [] Exploring Operation: 63+18=81, Resulting Numbers: [37, 67, 81] Generated Node #2: [37, 67, 81] from Operation: 63+18=81 Current State: 51:[37, 67, 81], Operations: ['63+18=81'] Exploring Operation: 67-37=30, Resulting Numbers: [81, 30] Generated Node #3: [81, 30] from Operation: 67-37=30 Current State: 51:[81, 30], Operations: ['63+18=81', '67-37=30'] Exploring Operation: 81-30=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 2, 58, 48, 94 ]
81
[ "94-48=46", "46/2=23", "58+23=81" ]
Current State: 81:[2, 58, 48, 94], Operations: [] Exploring Operation: 94-48=46, Resulting Numbers: [2, 58, 46] Generated Node #2: [2, 58, 46] from Operation: 94-48=46 Current State: 81:[2, 58, 46], Operations: ['94-48=46'] Exploring Operation: 46/2=23, Resulting Numbers: [58, 23] Generated Node #3: [58, 23] from Operation: 46/2=23 Current State: 81:[58, 23], Operations: ['94-48=46', '46/2=23'] Exploring Operation: 58+23=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 32, 64, 9, 66 ]
73
[ "64/32=2", "9+66=75", "75-2=73" ]
Current State: 73:[32, 64, 9, 66], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [9, 66, 2] Generated Node #2: [9, 66, 2] from Operation: 64/32=2 Current State: 73:[9, 66, 2], Operations: ['64/32=2'] Exploring Operation: 9+66=75, Resulting Numbers: [2, 75] Generated Node #3: [2, 75] from Operation: 9+66=75 Current State: 73:[2, 75], Operations: ['64/32=2', '9+66=75'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 26, 7, 42, 13 ]
36
[ "26-7=19", "42+13=55", "55-19=36" ]
Current State: 36:[26, 7, 42, 13], Operations: [] Exploring Operation: 26-7=19, Resulting Numbers: [42, 13, 19] Generated Node #2: [42, 13, 19] from Operation: 26-7=19 Current State: 36:[42, 13, 19], Operations: ['26-7=19'] Exploring Operation: 42+13=55, Resulting Numbers: [19, 55] Generated Node #3: [19, 55] from Operation: 42+13=55 Current State: 36:[19, 55], Operations: ['26-7=19', '42+13=55'] Exploring Operation: 55-19=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 94, 84, 26, 63 ]
27
[ "94-84=10", "63-26=37", "37-10=27" ]
Current State: 27:[94, 84, 26, 63], Operations: [] Exploring Operation: 94-84=10, Resulting Numbers: [26, 63, 10] Generated Node #2: [26, 63, 10] from Operation: 94-84=10 Current State: 27:[26, 63, 10], Operations: ['94-84=10'] Exploring Operation: 63-26=37, Resulting Numbers: [10, 37] Generated Node #3: [10, 37] from Operation: 63-26=37 Current State: 27:[10, 37], Operations: ['94-84=10', '63-26=37'] Exploring Operation: 37-10=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 82, 37, 2, 20 ]
23
[ "82-37=45", "2+20=22", "45-22=23" ]
Current State: 23:[82, 37, 2, 20], Operations: [] Exploring Operation: 82-37=45, Resulting Numbers: [2, 20, 45] Generated Node #2: [2, 20, 45] from Operation: 82-37=45 Current State: 23:[2, 20, 45], Operations: ['82-37=45'] Exploring Operation: 2+20=22, Resulting Numbers: [45, 22] Generated Node #3: [45, 22] from Operation: 2+20=22 Current State: 23:[45, 22], Operations: ['82-37=45', '2+20=22'] Exploring Operation: 45-22=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 22, 15, 6, 59 ]
24
[ "22*15=330", "6*59=354", "354-330=24" ]
Current State: 24:[22, 15, 6, 59], Operations: [] Exploring Operation: 22*15=330, Resulting Numbers: [6, 59, 330] Generated Node #2: [6, 59, 330] from Operation: 22*15=330 Current State: 24:[6, 59, 330], Operations: ['22*15=330'] Exploring Operation: 6*59=354, Resulting Numbers: [330, 354] Generated Node #3: [330, 354] from Operation: 6*59=354 Current State: 24:[330, 354], Operations: ['22*15=330', '6*59=354'] Exploring Operation: 354-330=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 60, 74, 43, 64 ]
37
[ "74-64=10", "60/10=6", "43-6=37" ]
Current State: 37:[60, 74, 43, 64], Operations: [] Exploring Operation: 74-64=10, Resulting Numbers: [60, 43, 10] Generated Node #2: [60, 43, 10] from Operation: 74-64=10 Current State: 37:[60, 43, 10], Operations: ['74-64=10'] Exploring Operation: 60/10=6, Resulting Numbers: [43, 6] Generated Node #3: [43, 6] from Operation: 60/10=6 Current State: 37:[43, 6], Operations: ['74-64=10', '60/10=6'] Exploring Operation: 43-6=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 33, 12, 42, 66 ]
18
[ "66/33=2", "12*2=24", "42-24=18" ]
Current State: 18:[33, 12, 42, 66], Operations: [] Exploring Operation: 66/33=2, Resulting Numbers: [12, 42, 2] Generated Node #2: [12, 42, 2] from Operation: 66/33=2 Current State: 18:[12, 42, 2], Operations: ['66/33=2'] Exploring Operation: 12*2=24, Resulting Numbers: [42, 24] Generated Node #3: [42, 24] from Operation: 12*2=24 Current State: 18:[42, 24], Operations: ['66/33=2', '12*2=24'] Exploring Operation: 42-24=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 45, 76, 75, 6 ]
51
[ "45+6=51", "76-75=1", "51*1=51" ]
Current State: 51:[45, 76, 75, 6], Operations: [] Exploring Operation: 45+6=51, Resulting Numbers: [76, 75, 51] Generated Node #2: [76, 75, 51] from Operation: 45+6=51 Current State: 51:[76, 75, 51], Operations: ['45+6=51'] Exploring Operation: 76-75=1, Resulting Numbers: [51, 1] Generated Node #3: [51, 1] from Operation: 76-75=1 Current State: 51:[51, 1], Operations: ['45+6=51', '76-75=1'] Exploring Operation: 51*1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 78, 92, 11, 39 ]
19
[ "78+92=170", "39+170=209", "209/11=19" ]
Current State: 19:[78, 92, 11, 39], Operations: [] Exploring Operation: 78+92=170, Resulting Numbers: [11, 39, 170] Generated Node #2: [11, 39, 170] from Operation: 78+92=170 Current State: 19:[11, 39, 170], Operations: ['78+92=170'] Exploring Operation: 39+170=209, Resulting Numbers: [11, 209] Generated Node #3: [11, 209] from Operation: 39+170=209 Current State: 19:[11, 209], Operations: ['78+92=170', '39+170=209'] Exploring Operation: 209/11=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 35, 91, 75, 81 ]
62
[ "91-35=56", "81-75=6", "56+6=62" ]
Current State: 62:[35, 91, 75, 81], Operations: [] Exploring Operation: 91-35=56, Resulting Numbers: [75, 81, 56] Generated Node #2: [75, 81, 56] from Operation: 91-35=56 Current State: 62:[75, 81, 56], Operations: ['91-35=56'] Exploring Operation: 81-75=6, Resulting Numbers: [56, 6] Generated Node #3: [56, 6] from Operation: 81-75=6 Current State: 62:[56, 6], Operations: ['91-35=56', '81-75=6'] Exploring Operation: 56+6=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 26, 15, 45, 7 ]
57
[ "26-7=19", "45/15=3", "19*3=57" ]
Current State: 57:[26, 15, 45, 7], Operations: [] Exploring Operation: 26-7=19, Resulting Numbers: [15, 45, 19] Generated Node #2: [15, 45, 19] from Operation: 26-7=19 Current State: 57:[15, 45, 19], Operations: ['26-7=19'] Exploring Operation: 45/15=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 45/15=3 Current State: 57:[19, 3], Operations: ['26-7=19', '45/15=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 58, 49, 46, 83 ]
70
[ "58+49=107", "83-46=37", "107-37=70" ]
Current State: 70:[58, 49, 46, 83], Operations: [] Exploring Operation: 58+49=107, Resulting Numbers: [46, 83, 107] Generated Node #2: [46, 83, 107] from Operation: 58+49=107 Current State: 70:[46, 83, 107], Operations: ['58+49=107'] Exploring Operation: 83-46=37, Resulting Numbers: [107, 37] Generated Node #3: [107, 37] from Operation: 83-46=37 Current State: 70:[107, 37], Operations: ['58+49=107', '83-46=37'] Exploring Operation: 107-37=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 30, 41, 13, 27 ]
18
[ "30-27=3", "41+13=54", "54/3=18" ]
Current State: 18:[30, 41, 13, 27], Operations: [] Exploring Operation: 30-27=3, Resulting Numbers: [41, 13, 3] Generated Node #2: [41, 13, 3] from Operation: 30-27=3 Current State: 18:[41, 13, 3], Operations: ['30-27=3'] Exploring Operation: 41+13=54, Resulting Numbers: [3, 54] Generated Node #3: [3, 54] from Operation: 41+13=54 Current State: 18:[3, 54], Operations: ['30-27=3', '41+13=54'] Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 55, 18, 12, 86 ]
74
[ "18*86=1548", "1548/12=129", "129-55=74" ]
Current State: 74:[55, 18, 12, 86], Operations: [] Exploring Operation: 18*86=1548, Resulting Numbers: [55, 12, 1548] Generated Node #2: [55, 12, 1548] from Operation: 18*86=1548 Current State: 74:[55, 12, 1548], Operations: ['18*86=1548'] Exploring Operation: 1548/12=129, Resulting Numbers: [55, 129] Generated Node #3: [55, 129] from Operation: 1548/12=129 Current State: 74:[55, 129], Operations: ['18*86=1548', '1548/12=129'] Exploring Operation: 129-55=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 57, 2, 10, 98 ]
31
[ "57+98=155", "10/2=5", "155/5=31" ]
Current State: 31:[57, 2, 10, 98], Operations: [] Exploring Operation: 57+98=155, Resulting Numbers: [2, 10, 155] Generated Node #2: [2, 10, 155] from Operation: 57+98=155 Current State: 31:[2, 10, 155], Operations: ['57+98=155'] Exploring Operation: 10/2=5, Resulting Numbers: [155, 5] Generated Node #3: [155, 5] from Operation: 10/2=5 Current State: 31:[155, 5], Operations: ['57+98=155', '10/2=5'] Exploring Operation: 155/5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 54, 29, 58, 42 ]
33
[ "58/29=2", "42/2=21", "54-21=33" ]
Current State: 33:[54, 29, 58, 42], Operations: [] Exploring Operation: 58/29=2, Resulting Numbers: [54, 42, 2] Generated Node #2: [54, 42, 2] from Operation: 58/29=2 Current State: 33:[54, 42, 2], Operations: ['58/29=2'] Exploring Operation: 42/2=21, Resulting Numbers: [54, 21] Generated Node #3: [54, 21] from Operation: 42/2=21 Current State: 33:[54, 21], Operations: ['58/29=2', '42/2=21'] Exploring Operation: 54-21=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 53, 38, 22, 18 ]
87
[ "53+38=91", "22-18=4", "91-4=87" ]
Current State: 87:[53, 38, 22, 18], Operations: [] Exploring Operation: 53+38=91, Resulting Numbers: [22, 18, 91] Generated Node #2: [22, 18, 91] from Operation: 53+38=91 Current State: 87:[22, 18, 91], Operations: ['53+38=91'] Exploring Operation: 22-18=4, Resulting Numbers: [91, 4] Generated Node #3: [91, 4] from Operation: 22-18=4 Current State: 87:[91, 4], Operations: ['53+38=91', '22-18=4'] Exploring Operation: 91-4=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 58, 38, 14, 40 ]
46
[ "58-38=20", "40-14=26", "20+26=46" ]
Current State: 46:[58, 38, 14, 40], Operations: [] Exploring Operation: 58-38=20, Resulting Numbers: [14, 40, 20] Generated Node #2: [14, 40, 20] from Operation: 58-38=20 Current State: 46:[14, 40, 20], Operations: ['58-38=20'] Exploring Operation: 40-14=26, Resulting Numbers: [20, 26] Generated Node #3: [20, 26] from Operation: 40-14=26 Current State: 46:[20, 26], Operations: ['58-38=20', '40-14=26'] Exploring Operation: 20+26=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 82, 75, 26, 84 ]
62
[ "84-82=2", "26/2=13", "75-13=62" ]
Current State: 62:[82, 75, 26, 84], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [75, 26, 2] Generated Node #2: [75, 26, 2] from Operation: 84-82=2 Current State: 62:[75, 26, 2], Operations: ['84-82=2'] Exploring Operation: 26/2=13, Resulting Numbers: [75, 13] Generated Node #3: [75, 13] from Operation: 26/2=13 Current State: 62:[75, 13], Operations: ['84-82=2', '26/2=13'] Exploring Operation: 75-13=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 41, 24, 36, 28 ]
57
[ "41+24=65", "36-28=8", "65-8=57" ]
Current State: 57:[41, 24, 36, 28], Operations: [] Exploring Operation: 41+24=65, Resulting Numbers: [36, 28, 65] Generated Node #2: [36, 28, 65] from Operation: 41+24=65 Current State: 57:[36, 28, 65], Operations: ['41+24=65'] Exploring Operation: 36-28=8, Resulting Numbers: [65, 8] Generated Node #3: [65, 8] from Operation: 36-28=8 Current State: 57:[65, 8], Operations: ['41+24=65', '36-28=8'] Exploring Operation: 65-8=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 87, 9, 45, 3 ]
36
[ "87-9=78", "45-3=42", "78-42=36" ]
Current State: 36:[87, 9, 45, 3], Operations: [] Exploring Operation: 87-9=78, Resulting Numbers: [45, 3, 78] Generated Node #2: [45, 3, 78] from Operation: 87-9=78 Current State: 36:[45, 3, 78], Operations: ['87-9=78'] Exploring Operation: 45-3=42, Resulting Numbers: [78, 42] Generated Node #3: [78, 42] from Operation: 45-3=42 Current State: 36:[78, 42], Operations: ['87-9=78', '45-3=42'] Exploring Operation: 78-42=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 26, 33, 30, 26 ]
78
[ "26*33=858", "30*26=780", "858-780=78" ]
Current State: 78:[26, 33, 30, 26], Operations: [] Exploring Operation: 26*33=858, Resulting Numbers: [30, 858] Generated Node #2: [30, 858] from Operation: 26*33=858 Current State: 78:[30, 858], Operations: ['26*33=858'] Exploring Operation: 30*26=780, Resulting Numbers: [858, 780] Generated Node #3: [858, 780] from Operation: 30*26=780 Current State: 78:[858, 780], Operations: ['26*33=858', '30*26=780'] Exploring Operation: 858-780=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 68, 47, 6, 45 ]
28
[ "47-45=2", "68/2=34", "34-6=28" ]
Current State: 28:[68, 47, 6, 45], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [68, 6, 2] Generated Node #2: [68, 6, 2] from Operation: 47-45=2 Current State: 28:[68, 6, 2], Operations: ['47-45=2'] Exploring Operation: 68/2=34, Resulting Numbers: [6, 34] Generated Node #3: [6, 34] from Operation: 68/2=34 Current State: 28:[6, 34], Operations: ['47-45=2', '68/2=34'] Exploring Operation: 34-6=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 99, 78, 38, 41 ]
73
[ "41-38=3", "78/3=26", "99-26=73" ]
Current State: 73:[99, 78, 38, 41], Operations: [] Exploring Operation: 41-38=3, Resulting Numbers: [99, 78, 3] Generated Node #2: [99, 78, 3] from Operation: 41-38=3 Current State: 73:[99, 78, 3], Operations: ['41-38=3'] Exploring Operation: 78/3=26, Resulting Numbers: [99, 26] Generated Node #3: [99, 26] from Operation: 78/3=26 Current State: 73:[99, 26], Operations: ['41-38=3', '78/3=26'] Exploring Operation: 99-26=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 5, 65, 12, 25 ]
48
[ "5*25=125", "65+12=77", "125-77=48" ]
Current State: 48:[5, 65, 12, 25], Operations: [] Exploring Operation: 5*25=125, Resulting Numbers: [65, 12, 125] Generated Node #2: [65, 12, 125] from Operation: 5*25=125 Current State: 48:[65, 12, 125], Operations: ['5*25=125'] Exploring Operation: 65+12=77, Resulting Numbers: [125, 77] Generated Node #3: [125, 77] from Operation: 65+12=77 Current State: 48:[125, 77], Operations: ['5*25=125', '65+12=77'] Exploring Operation: 125-77=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 28, 66, 53, 14 ]
26
[ "28/14=2", "66-53=13", "2*13=26" ]
Current State: 26:[28, 66, 53, 14], Operations: [] Exploring Operation: 28/14=2, Resulting Numbers: [66, 53, 2] Generated Node #2: [66, 53, 2] from Operation: 28/14=2 Current State: 26:[66, 53, 2], Operations: ['28/14=2'] Exploring Operation: 66-53=13, Resulting Numbers: [2, 13] Generated Node #3: [2, 13] from Operation: 66-53=13 Current State: 26:[2, 13], Operations: ['28/14=2', '66-53=13'] Exploring Operation: 2*13=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 25, 66, 24, 92 ]
24
[ "25+66=91", "92-91=1", "24*1=24" ]
Current State: 24:[25, 66, 24, 92], Operations: [] Exploring Operation: 25+66=91, Resulting Numbers: [24, 92, 91] Generated Node #2: [24, 92, 91] from Operation: 25+66=91 Current State: 24:[24, 92, 91], Operations: ['25+66=91'] Exploring Operation: 92-91=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 92-91=1 Current State: 24:[24, 1], Operations: ['25+66=91', '92-91=1'] Exploring Operation: 24*1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 71, 5, 74, 93 ]
97
[ "74*93=6882", "5+6882=6887", "6887/71=97" ]
Current State: 97:[71, 5, 74, 93], Operations: [] Exploring Operation: 74*93=6882, Resulting Numbers: [71, 5, 6882] Generated Node #2: [71, 5, 6882] from Operation: 74*93=6882 Current State: 97:[71, 5, 6882], Operations: ['74*93=6882'] Exploring Operation: 5+6882=6887, Resulting Numbers: [71, 6887] Generated Node #3: [71, 6887] from Operation: 5+6882=6887 Current State: 97:[71, 6887], Operations: ['74*93=6882', '5+6882=6887'] Exploring Operation: 6887/71=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 78, 34, 75, 71 ]
58
[ "75-71=4", "34*4=136", "136-78=58" ]
Current State: 58:[78, 34, 75, 71], Operations: [] Exploring Operation: 75-71=4, Resulting Numbers: [78, 34, 4] Generated Node #2: [78, 34, 4] from Operation: 75-71=4 Current State: 58:[78, 34, 4], Operations: ['75-71=4'] Exploring Operation: 34*4=136, Resulting Numbers: [78, 136] Generated Node #3: [78, 136] from Operation: 34*4=136 Current State: 58:[78, 136], Operations: ['75-71=4', '34*4=136'] Exploring Operation: 136-78=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 20, 58, 79, 66 ]
65
[ "20+58=78", "79-66=13", "78-13=65" ]
Current State: 65:[20, 58, 79, 66], Operations: [] Exploring Operation: 20+58=78, Resulting Numbers: [79, 66, 78] Generated Node #2: [79, 66, 78] from Operation: 20+58=78 Current State: 65:[79, 66, 78], Operations: ['20+58=78'] Exploring Operation: 79-66=13, Resulting Numbers: [78, 13] Generated Node #3: [78, 13] from Operation: 79-66=13 Current State: 65:[78, 13], Operations: ['20+58=78', '79-66=13'] Exploring Operation: 78-13=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 8, 72, 4, 18 ]
42
[ "72-8=64", "4+18=22", "64-22=42" ]
Current State: 42:[8, 72, 4, 18], Operations: [] Exploring Operation: 72-8=64, Resulting Numbers: [4, 18, 64] Generated Node #2: [4, 18, 64] from Operation: 72-8=64 Current State: 42:[4, 18, 64], Operations: ['72-8=64'] Exploring Operation: 4+18=22, Resulting Numbers: [64, 22] Generated Node #3: [64, 22] from Operation: 4+18=22 Current State: 42:[64, 22], Operations: ['72-8=64', '4+18=22'] Exploring Operation: 64-22=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 49, 48, 46, 88 ]
55
[ "49+48=97", "88-46=42", "97-42=55" ]
Current State: 55:[49, 48, 46, 88], Operations: [] Exploring Operation: 49+48=97, Resulting Numbers: [46, 88, 97] Generated Node #2: [46, 88, 97] from Operation: 49+48=97 Current State: 55:[46, 88, 97], Operations: ['49+48=97'] Exploring Operation: 88-46=42, Resulting Numbers: [97, 42] Generated Node #3: [97, 42] from Operation: 88-46=42 Current State: 55:[97, 42], Operations: ['49+48=97', '88-46=42'] Exploring Operation: 97-42=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 90, 26, 73, 89 ]
99
[ "90-89=1", "26+73=99", "1*99=99" ]
Current State: 99:[90, 26, 73, 89], Operations: [] Exploring Operation: 90-89=1, Resulting Numbers: [26, 73, 1] Generated Node #2: [26, 73, 1] from Operation: 90-89=1 Current State: 99:[26, 73, 1], Operations: ['90-89=1'] Exploring Operation: 26+73=99, Resulting Numbers: [1, 99] Generated Node #3: [1, 99] from Operation: 26+73=99 Current State: 99:[1, 99], Operations: ['90-89=1', '26+73=99'] Exploring Operation: 1*99=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 14, 20, 24, 53 ]
55
[ "24-14=10", "20/10=2", "53+2=55" ]
Current State: 55:[14, 20, 24, 53], Operations: [] Exploring Operation: 24-14=10, Resulting Numbers: [20, 53, 10] Generated Node #2: [20, 53, 10] from Operation: 24-14=10 Current State: 55:[20, 53, 10], Operations: ['24-14=10'] Exploring Operation: 20/10=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operation: 20/10=2 Current State: 55:[53, 2], Operations: ['24-14=10', '20/10=2'] Exploring Operation: 53+2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 96, 16, 88, 14 ]
10
[ "96+16=112", "88+14=102", "112-102=10" ]
Current State: 10:[96, 16, 88, 14], Operations: [] Exploring Operation: 96+16=112, Resulting Numbers: [88, 14, 112] Generated Node #2: [88, 14, 112] from Operation: 96+16=112 Current State: 10:[88, 14, 112], Operations: ['96+16=112'] Exploring Operation: 88+14=102, Resulting Numbers: [112, 102] Generated Node #3: [112, 102] from Operation: 88+14=102 Current State: 10:[112, 102], Operations: ['96+16=112', '88+14=102'] Exploring Operation: 112-102=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 39, 99, 96, 67 ]
31
[ "99-39=60", "96-67=29", "60-29=31" ]
Current State: 31:[39, 99, 96, 67], Operations: [] Exploring Operation: 99-39=60, Resulting Numbers: [96, 67, 60] Generated Node #2: [96, 67, 60] from Operation: 99-39=60 Current State: 31:[96, 67, 60], Operations: ['99-39=60'] Exploring Operation: 96-67=29, Resulting Numbers: [60, 29] Generated Node #3: [60, 29] from Operation: 96-67=29 Current State: 31:[60, 29], Operations: ['99-39=60', '96-67=29'] Exploring Operation: 60-29=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 29, 70, 87, 30 ]
76
[ "70-29=41", "87+30=117", "117-41=76" ]
Current State: 76:[29, 70, 87, 30], Operations: [] Exploring Operation: 70-29=41, Resulting Numbers: [87, 30, 41] Generated Node #2: [87, 30, 41] from Operation: 70-29=41 Current State: 76:[87, 30, 41], Operations: ['70-29=41'] Exploring Operation: 87+30=117, Resulting Numbers: [41, 117] Generated Node #3: [41, 117] from Operation: 87+30=117 Current State: 76:[41, 117], Operations: ['70-29=41', '87+30=117'] Exploring Operation: 117-41=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 65, 7, 87, 52 ]
60
[ "87-52=35", "35/7=5", "65-5=60" ]
Current State: 60:[65, 7, 87, 52], Operations: [] Exploring Operation: 87-52=35, Resulting Numbers: [65, 7, 35] Generated Node #2: [65, 7, 35] from Operation: 87-52=35 Current State: 60:[65, 7, 35], Operations: ['87-52=35'] Exploring Operation: 35/7=5, Resulting Numbers: [65, 5] Generated Node #3: [65, 5] from Operation: 35/7=5 Current State: 60:[65, 5], Operations: ['87-52=35', '35/7=5'] Exploring Operation: 65-5=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 21, 5, 64, 20 ]
89
[ "21+64=85", "20/5=4", "85+4=89" ]
Current State: 89:[21, 5, 64, 20], Operations: [] Exploring Operation: 21+64=85, Resulting Numbers: [5, 20, 85] Generated Node #2: [5, 20, 85] from Operation: 21+64=85 Current State: 89:[5, 20, 85], Operations: ['21+64=85'] Exploring Operation: 20/5=4, Resulting Numbers: [85, 4] Generated Node #3: [85, 4] from Operation: 20/5=4 Current State: 89:[85, 4], Operations: ['21+64=85', '20/5=4'] Exploring Operation: 85+4=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 67, 72, 19, 62 ]
38
[ "72-67=5", "62-19=43", "43-5=38" ]
Current State: 38:[67, 72, 19, 62], Operations: [] Exploring Operation: 72-67=5, Resulting Numbers: [19, 62, 5] Generated Node #2: [19, 62, 5] from Operation: 72-67=5 Current State: 38:[19, 62, 5], Operations: ['72-67=5'] Exploring Operation: 62-19=43, Resulting Numbers: [5, 43] Generated Node #3: [5, 43] from Operation: 62-19=43 Current State: 38:[5, 43], Operations: ['72-67=5', '62-19=43'] Exploring Operation: 43-5=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 33, 51, 53, 15 ]
34
[ "33*53=1749", "1749-15=1734", "1734/51=34" ]
Current State: 34:[33, 51, 53, 15], Operations: [] Exploring Operation: 33*53=1749, Resulting Numbers: [51, 15, 1749] Generated Node #2: [51, 15, 1749] from Operation: 33*53=1749 Current State: 34:[51, 15, 1749], Operations: ['33*53=1749'] Exploring Operation: 1749-15=1734, Resulting Numbers: [51, 1734] Generated Node #3: [51, 1734] from Operation: 1749-15=1734 Current State: 34:[51, 1734], Operations: ['33*53=1749', '1749-15=1734'] Exploring Operation: 1734/51=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 94, 51, 94, 94 ]
42
[ "94-51=43", "94/94=1", "43-1=42" ]
Current State: 42:[94, 51, 94, 94], Operations: [] Exploring Operation: 94-51=43, Resulting Numbers: [43] 43,42 equal: Goal Reached Exploring Operation: 94/94=1, Resulting Numbers: [43, 1] Generated Node #2: [43, 1] from Operation: 94/94=1 Current State: 42:[43, 1], Operations: ['94/94=1'] Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 51, 92, 74, 26 ]
95
[ "51+92=143", "74-26=48", "143-48=95" ]
Current State: 95:[51, 92, 74, 26], Operations: [] Exploring Operation: 51+92=143, Resulting Numbers: [74, 26, 143] Generated Node #2: [74, 26, 143] from Operation: 51+92=143 Current State: 95:[74, 26, 143], Operations: ['51+92=143'] Exploring Operation: 74-26=48, Resulting Numbers: [143, 48] Generated Node #3: [143, 48] from Operation: 74-26=48 Current State: 95:[143, 48], Operations: ['51+92=143', '74-26=48'] Exploring Operation: 143-48=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 86, 75, 19, 81 ]
99
[ "86+75=161", "81-19=62", "161-62=99" ]
Current State: 99:[86, 75, 19, 81], Operations: [] Exploring Operation: 86+75=161, Resulting Numbers: [19, 81, 161] Generated Node #2: [19, 81, 161] from Operation: 86+75=161 Current State: 99:[19, 81, 161], Operations: ['86+75=161'] Exploring Operation: 81-19=62, Resulting Numbers: [161, 62] Generated Node #3: [161, 62] from Operation: 81-19=62 Current State: 99:[161, 62], Operations: ['86+75=161', '81-19=62'] Exploring Operation: 161-62=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 71, 45, 1, 31 ]
84
[ "71+45=116", "1+31=32", "116-32=84" ]
Current State: 84:[71, 45, 1, 31], Operations: [] Exploring Operation: 71+45=116, Resulting Numbers: [1, 31, 116] Generated Node #2: [1, 31, 116] from Operation: 71+45=116 Current State: 84:[1, 31, 116], Operations: ['71+45=116'] Exploring Operation: 1+31=32, Resulting Numbers: [116, 32] Generated Node #3: [116, 32] from Operation: 1+31=32 Current State: 84:[116, 32], Operations: ['71+45=116', '1+31=32'] Exploring Operation: 116-32=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4