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
[ 76, 7, 96, 2 ]
11
[ "76+7=83", "96-2=94", "94-83=11" ]
Current State: 11:[76, 7, 96, 2], Operations: [] Exploring Operation: 76+7=83, Resulting Numbers: [96, 2, 83] Generated Node #2: [96, 2, 83] from Operation: 76+7=83 Current State: 11:[96, 2, 83], Operations: ['76+7=83'] Exploring Operation: 96-2=94, Resulting Numbers: [83, 94] Generated Node #3: [83, 94] from Operation: 96-2=94 Current State: 11:[83, 94], Operations: ['76+7=83', '96-2=94'] Exploring Operation: 94-83=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 20, 51, 26, 23 ]
18
[ "51-20=31", "26+23=49", "49-31=18" ]
Current State: 18:[20, 51, 26, 23], Operations: [] Exploring Operation: 51-20=31, Resulting Numbers: [26, 23, 31] Generated Node #2: [26, 23, 31] from Operation: 51-20=31 Current State: 18:[26, 23, 31], Operations: ['51-20=31'] Exploring Operation: 26+23=49, Resulting Numbers: [31, 49] Generated Node #3: [31, 49] from Operation: 26+23=49 Current State: 18:[31, 49], Operations: ['51-20=31', '26+23=49'] Exploring Operation: 49-31=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 84, 60, 68, 44 ]
16
[ "84+44=128", "68-60=8", "128/8=16" ]
Current State: 16:[84, 60, 68, 44], Operations: [] Exploring Operation: 84+44=128, Resulting Numbers: [60, 68, 128] Generated Node #2: [60, 68, 128] from Operation: 84+44=128 Current State: 16:[60, 68, 128], Operations: ['84+44=128'] Exploring Operation: 68-60=8, Resulting Numbers: [128, 8] Generated Node #3: [128, 8] from Operation: 68-60=8 Current State: 16:[128, 8], Operations: ['84+44=128', '68-60=8'] Exploring Operation: 128/8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 35, 57, 39, 25 ]
78
[ "35+57=92", "39-25=14", "92-14=78" ]
Current State: 78:[35, 57, 39, 25], Operations: [] Exploring Operation: 35+57=92, Resulting Numbers: [39, 25, 92] Generated Node #2: [39, 25, 92] from Operation: 35+57=92 Current State: 78:[39, 25, 92], Operations: ['35+57=92'] Exploring Operation: 39-25=14, Resulting Numbers: [92, 14] Generated Node #3: [92, 14] from Operation: 39-25=14 Current State: 78:[92, 14], Operations: ['35+57=92', '39-25=14'] Exploring Operation: 92-14=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 65, 6, 7, 41 ]
93
[ "65-6=59", "41-7=34", "59+34=93" ]
Current State: 93:[65, 6, 7, 41], Operations: [] Exploring Operation: 65-6=59, Resulting Numbers: [7, 41, 59] Generated Node #2: [7, 41, 59] from Operation: 65-6=59 Current State: 93:[7, 41, 59], Operations: ['65-6=59'] Exploring Operation: 41-7=34, Resulting Numbers: [59, 34] Generated Node #3: [59, 34] from Operation: 41-7=34 Current State: 93:[59, 34], Operations: ['65-6=59', '41-7=34'] Exploring Operation: 59+34=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 2, 52, 18, 14 ]
40
[ "52-18=34", "34-14=20", "2*20=40" ]
Current State: 40:[2, 52, 18, 14], Operations: [] Exploring Operation: 52-18=34, Resulting Numbers: [2, 14, 34] Generated Node #2: [2, 14, 34] from Operation: 52-18=34 Current State: 40:[2, 14, 34], Operations: ['52-18=34'] Exploring Operation: 34-14=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 34-14=20 Current State: 40:[2, 20], Operations: ['52-18=34', '34-14=20'] Exploring Operation: 2*20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 9, 34, 12, 97 ]
66
[ "9+34=43", "12+97=109", "109-43=66" ]
Current State: 66:[9, 34, 12, 97], Operations: [] Exploring Operation: 9+34=43, Resulting Numbers: [12, 97, 43] Generated Node #2: [12, 97, 43] from Operation: 9+34=43 Current State: 66:[12, 97, 43], Operations: ['9+34=43'] Exploring Operation: 12+97=109, Resulting Numbers: [43, 109] Generated Node #3: [43, 109] from Operation: 12+97=109 Current State: 66:[43, 109], Operations: ['9+34=43', '12+97=109'] Exploring Operation: 109-43=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 4, 77, 30, 93 ]
95
[ "77-30=47", "4*47=188", "188-93=95" ]
Current State: 95:[4, 77, 30, 93], Operations: [] Exploring Operation: 77-30=47, Resulting Numbers: [4, 93, 47] Generated Node #2: [4, 93, 47] from Operation: 77-30=47 Current State: 95:[4, 93, 47], Operations: ['77-30=47'] Exploring Operation: 4*47=188, Resulting Numbers: [93, 188] Generated Node #3: [93, 188] from Operation: 4*47=188 Current State: 95:[93, 188], Operations: ['77-30=47', '4*47=188'] Exploring Operation: 188-93=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 30, 22, 11, 37 ]
26
[ "30+22=52", "37-11=26", "52-26=26" ]
Current State: 26:[30, 22, 11, 37], Operations: [] Exploring Operation: 30+22=52, Resulting Numbers: [11, 37, 52] Generated Node #2: [11, 37, 52] from Operation: 30+22=52 Current State: 26:[11, 37, 52], Operations: ['30+22=52'] Exploring Operation: 37-11=26, Resulting Numbers: [52, 26] Generated Node #3: [52, 26] from Operation: 37-11=26 Current State: 26:[52, 26], Operations: ['30+22=52', '37-11=26'] Exploring Operation: 52-26=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 51, 7, 34, 59 ]
90
[ "59-51=8", "7*8=56", "34+56=90" ]
Current State: 90:[51, 7, 34, 59], Operations: [] Exploring Operation: 59-51=8, Resulting Numbers: [7, 34, 8] Generated Node #2: [7, 34, 8] from Operation: 59-51=8 Current State: 90:[7, 34, 8], Operations: ['59-51=8'] Exploring Operation: 7*8=56, Resulting Numbers: [34, 56] Generated Node #3: [34, 56] from Operation: 7*8=56 Current State: 90:[34, 56], Operations: ['59-51=8', '7*8=56'] Exploring Operation: 34+56=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 35, 86, 13, 80 ]
54
[ "35+86=121", "80-13=67", "121-67=54" ]
Current State: 54:[35, 86, 13, 80], Operations: [] Exploring Operation: 35+86=121, Resulting Numbers: [13, 80, 121] Generated Node #2: [13, 80, 121] from Operation: 35+86=121 Current State: 54:[13, 80, 121], Operations: ['35+86=121'] Exploring Operation: 80-13=67, Resulting Numbers: [121, 67] Generated Node #3: [121, 67] from Operation: 80-13=67 Current State: 54:[121, 67], Operations: ['35+86=121', '80-13=67'] Exploring Operation: 121-67=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 72, 80, 67, 30 ]
10
[ "72-67=5", "80-30=50", "50/5=10" ]
Current State: 10:[72, 80, 67, 30], Operations: [] Exploring Operation: 72-67=5, Resulting Numbers: [80, 30, 5] Generated Node #2: [80, 30, 5] from Operation: 72-67=5 Current State: 10:[80, 30, 5], Operations: ['72-67=5'] Exploring Operation: 80-30=50, Resulting Numbers: [5, 50] Generated Node #3: [5, 50] from Operation: 80-30=50 Current State: 10:[5, 50], Operations: ['72-67=5', '80-30=50'] Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 79, 1, 72, 64 ]
72
[ "79+1=80", "72-64=8", "80-8=72" ]
Current State: 72:[79, 1, 72, 64], Operations: [] Exploring Operation: 79+1=80, Resulting Numbers: [72, 64, 80] Generated Node #2: [72, 64, 80] from Operation: 79+1=80 Current State: 72:[72, 64, 80], Operations: ['79+1=80'] Exploring Operation: 72-64=8, Resulting Numbers: [80, 8] Generated Node #3: [80, 8] from Operation: 72-64=8 Current State: 72:[80, 8], Operations: ['79+1=80', '72-64=8'] Exploring Operation: 80-8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 48, 78, 18, 94 ]
87
[ "48+78=126", "126/18=7", "94-7=87" ]
Current State: 87:[48, 78, 18, 94], Operations: [] Exploring Operation: 48+78=126, Resulting Numbers: [18, 94, 126] Generated Node #2: [18, 94, 126] from Operation: 48+78=126 Current State: 87:[18, 94, 126], Operations: ['48+78=126'] Exploring Operation: 126/18=7, Resulting Numbers: [94, 7] Generated Node #3: [94, 7] from Operation: 126/18=7 Current State: 87:[94, 7], Operations: ['48+78=126', '126/18=7'] Exploring Operation: 94-7=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 7, 14, 14, 12 ]
86
[ "14-7=7", "14*7=98", "98-12=86" ]
Current State: 86:[7, 14, 14, 12], Operations: [] Exploring Operation: 14-7=7, Resulting Numbers: [12, 7] Generated Node #2: [12, 7] from Operation: 14-7=7 Current State: 86:[12, 7], Operations: ['14-7=7'] Exploring Operation: 14*7=98, Resulting Numbers: [12, 98] Generated Node #3: [12, 98] from Operation: 14*7=98 Current State: 86:[12, 98], Operations: ['14-7=7', '14*7=98'] Exploring Operation: 98-12=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 35, 19, 15, 55 ]
86
[ "35-19=16", "15+55=70", "16+70=86" ]
Current State: 86:[35, 19, 15, 55], Operations: [] Exploring Operation: 35-19=16, Resulting Numbers: [15, 55, 16] Generated Node #2: [15, 55, 16] from Operation: 35-19=16 Current State: 86:[15, 55, 16], Operations: ['35-19=16'] Exploring Operation: 15+55=70, Resulting Numbers: [16, 70] Generated Node #3: [16, 70] from Operation: 15+55=70 Current State: 86:[16, 70], Operations: ['35-19=16', '15+55=70'] Exploring Operation: 16+70=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 44, 9, 30, 22 ]
37
[ "44/22=2", "9+30=39", "39-2=37" ]
Current State: 37:[44, 9, 30, 22], Operations: [] Exploring Operation: 44/22=2, Resulting Numbers: [9, 30, 2] Generated Node #2: [9, 30, 2] from Operation: 44/22=2 Current State: 37:[9, 30, 2], Operations: ['44/22=2'] Exploring Operation: 9+30=39, Resulting Numbers: [2, 39] Generated Node #3: [2, 39] from Operation: 9+30=39 Current State: 37:[2, 39], Operations: ['44/22=2', '9+30=39'] Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 61, 52, 15, 2 ]
20
[ "61-15=46", "52/2=26", "46-26=20" ]
Current State: 20:[61, 52, 15, 2], Operations: [] Exploring Operation: 61-15=46, Resulting Numbers: [52, 2, 46] Generated Node #2: [52, 2, 46] from Operation: 61-15=46 Current State: 20:[52, 2, 46], Operations: ['61-15=46'] Exploring Operation: 52/2=26, Resulting Numbers: [46, 26] Generated Node #3: [46, 26] from Operation: 52/2=26 Current State: 20:[46, 26], Operations: ['61-15=46', '52/2=26'] Exploring Operation: 46-26=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 48, 1, 51, 31 ]
29
[ "48+1=49", "51-31=20", "49-20=29" ]
Current State: 29:[48, 1, 51, 31], Operations: [] Exploring Operation: 48+1=49, Resulting Numbers: [51, 31, 49] Generated Node #2: [51, 31, 49] from Operation: 48+1=49 Current State: 29:[51, 31, 49], Operations: ['48+1=49'] Exploring Operation: 51-31=20, Resulting Numbers: [49, 20] Generated Node #3: [49, 20] from Operation: 51-31=20 Current State: 29:[49, 20], Operations: ['48+1=49', '51-31=20'] Exploring Operation: 49-20=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 57, 14, 24, 77 ]
18
[ "57+14=71", "77-24=53", "71-53=18" ]
Current State: 18:[57, 14, 24, 77], Operations: [] Exploring Operation: 57+14=71, Resulting Numbers: [24, 77, 71] Generated Node #2: [24, 77, 71] from Operation: 57+14=71 Current State: 18:[24, 77, 71], Operations: ['57+14=71'] Exploring Operation: 77-24=53, Resulting Numbers: [71, 53] Generated Node #3: [71, 53] from Operation: 77-24=53 Current State: 18:[71, 53], Operations: ['57+14=71', '77-24=53'] Exploring Operation: 71-53=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 65, 30, 49, 62 ]
22
[ "65-30=35", "62-49=13", "35-13=22" ]
Current State: 22:[65, 30, 49, 62], Operations: [] Exploring Operation: 65-30=35, Resulting Numbers: [49, 62, 35] Generated Node #2: [49, 62, 35] from Operation: 65-30=35 Current State: 22:[49, 62, 35], Operations: ['65-30=35'] Exploring Operation: 62-49=13, Resulting Numbers: [35, 13] Generated Node #3: [35, 13] from Operation: 62-49=13 Current State: 22:[35, 13], Operations: ['65-30=35', '62-49=13'] Exploring Operation: 35-13=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 2, 49, 77, 77 ]
21
[ "77-49=28", "2*28=56", "77-56=21" ]
Current State: 21:[2, 49, 77, 77], Operations: [] Exploring Operation: 77-49=28, Resulting Numbers: [2, 28] Generated Node #2: [2, 28] from Operation: 77-49=28 Current State: 21:[2, 28], Operations: ['77-49=28'] Exploring Operation: 2*28=56, Resulting Numbers: [56] 56,21 equal: Goal Reached Exploring Operation: 77-56=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 40, 69, 61, 66 ]
59
[ "69-66=3", "40*3=120", "120-61=59" ]
Current State: 59:[40, 69, 61, 66], Operations: [] Exploring Operation: 69-66=3, Resulting Numbers: [40, 61, 3] Generated Node #2: [40, 61, 3] from Operation: 69-66=3 Current State: 59:[40, 61, 3], Operations: ['69-66=3'] Exploring Operation: 40*3=120, Resulting Numbers: [61, 120] Generated Node #3: [61, 120] from Operation: 40*3=120 Current State: 59:[61, 120], Operations: ['69-66=3', '40*3=120'] Exploring Operation: 120-61=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 27, 2, 78, 39 ]
13
[ "39-27=12", "2*78=156", "156/12=13" ]
Current State: 13:[27, 2, 78, 39], Operations: [] Exploring Operation: 39-27=12, Resulting Numbers: [2, 78, 12] Generated Node #2: [2, 78, 12] from Operation: 39-27=12 Current State: 13:[2, 78, 12], Operations: ['39-27=12'] Exploring Operation: 2*78=156, Resulting Numbers: [12, 156] Generated Node #3: [12, 156] from Operation: 2*78=156 Current State: 13:[12, 156], Operations: ['39-27=12', '2*78=156'] Exploring Operation: 156/12=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 20, 14, 6, 1 ]
65
[ "20-1=19", "14*6=84", "84-19=65" ]
Current State: 65:[20, 14, 6, 1], Operations: [] Exploring Operation: 20-1=19, Resulting Numbers: [14, 6, 19] Generated Node #2: [14, 6, 19] from Operation: 20-1=19 Current State: 65:[14, 6, 19], Operations: ['20-1=19'] Exploring Operation: 14*6=84, Resulting Numbers: [19, 84] Generated Node #3: [19, 84] from Operation: 14*6=84 Current State: 65:[19, 84], Operations: ['20-1=19', '14*6=84'] Exploring Operation: 84-19=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 60, 51, 46, 58 ]
99
[ "60+51=111", "58-46=12", "111-12=99" ]
Current State: 99:[60, 51, 46, 58], Operations: [] Exploring Operation: 60+51=111, Resulting Numbers: [46, 58, 111] Generated Node #2: [46, 58, 111] from Operation: 60+51=111 Current State: 99:[46, 58, 111], Operations: ['60+51=111'] Exploring Operation: 58-46=12, Resulting Numbers: [111, 12] Generated Node #3: [111, 12] from Operation: 58-46=12 Current State: 99:[111, 12], Operations: ['60+51=111', '58-46=12'] Exploring Operation: 111-12=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 45, 41, 41, 10 ]
10
[ "41-41=0", "45*0=0", "10+0=10" ]
Current State: 10:[45, 41, 41, 10], Operations: [] Exploring Operation: 41-41=0, Resulting Numbers: [45, 10, 0] Generated Node #2: [45, 10, 0] from Operation: 41-41=0 Current State: 10:[45, 10, 0], Operations: ['41-41=0'] Exploring Operation: 45*0=0, Resulting Numbers: [10, 0] Generated Node #3: [10, 0] from Operation: 45*0=0 Current State: 10:[10, 0], Operations: ['41-41=0', '45*0=0'] Exploring Operation: 10+0=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 10, 95, 20, 62 ]
43
[ "95-10=85", "62-20=42", "85-42=43" ]
Current State: 43:[10, 95, 20, 62], Operations: [] Exploring Operation: 95-10=85, Resulting Numbers: [20, 62, 85] Generated Node #2: [20, 62, 85] from Operation: 95-10=85 Current State: 43:[20, 62, 85], Operations: ['95-10=85'] Exploring Operation: 62-20=42, Resulting Numbers: [85, 42] Generated Node #3: [85, 42] from Operation: 62-20=42 Current State: 43:[85, 42], Operations: ['95-10=85', '62-20=42'] Exploring Operation: 85-42=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 4, 15, 40, 61 ]
69
[ "61-40=21", "4*21=84", "84-15=69" ]
Current State: 69:[4, 15, 40, 61], Operations: [] Exploring Operation: 61-40=21, Resulting Numbers: [4, 15, 21] Generated Node #2: [4, 15, 21] from Operation: 61-40=21 Current State: 69:[4, 15, 21], Operations: ['61-40=21'] Exploring Operation: 4*21=84, Resulting Numbers: [15, 84] Generated Node #3: [15, 84] from Operation: 4*21=84 Current State: 69:[15, 84], Operations: ['61-40=21', '4*21=84'] Exploring Operation: 84-15=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 37, 12, 37, 47 ]
74
[ "37+12=49", "49-47=2", "37*2=74" ]
Current State: 74:[37, 12, 37, 47], Operations: [] Exploring Operation: 37+12=49, Resulting Numbers: [47, 49] Generated Node #2: [47, 49] from Operation: 37+12=49 Current State: 74:[47, 49], Operations: ['37+12=49'] Exploring Operation: 49-47=2, Resulting Numbers: [2] 2,74 equal: Goal Reached Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 75, 16, 10, 2 ]
96
[ "75+16=91", "10/2=5", "91+5=96" ]
Current State: 96:[75, 16, 10, 2], Operations: [] Exploring Operation: 75+16=91, Resulting Numbers: [10, 2, 91] Generated Node #2: [10, 2, 91] from Operation: 75+16=91 Current State: 96:[10, 2, 91], Operations: ['75+16=91'] Exploring Operation: 10/2=5, Resulting Numbers: [91, 5] Generated Node #3: [91, 5] from Operation: 10/2=5 Current State: 96:[91, 5], Operations: ['75+16=91', '10/2=5'] Exploring Operation: 91+5=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 85, 34, 97, 60 ]
82
[ "85+34=119", "97-60=37", "119-37=82" ]
Current State: 82:[85, 34, 97, 60], Operations: [] Exploring Operation: 85+34=119, Resulting Numbers: [97, 60, 119] Generated Node #2: [97, 60, 119] from Operation: 85+34=119 Current State: 82:[97, 60, 119], Operations: ['85+34=119'] Exploring Operation: 97-60=37, Resulting Numbers: [119, 37] Generated Node #3: [119, 37] from Operation: 97-60=37 Current State: 82:[119, 37], Operations: ['85+34=119', '97-60=37'] Exploring Operation: 119-37=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 6, 87, 6, 41 ]
41
[ "6-6=0", "87*0=0", "41+0=41" ]
Current State: 41:[6, 87, 6, 41], Operations: [] Exploring Operation: 6-6=0, Resulting Numbers: [87, 41, 0] Generated Node #2: [87, 41, 0] from Operation: 6-6=0 Current State: 41:[87, 41, 0], Operations: ['6-6=0'] Exploring Operation: 87*0=0, Resulting Numbers: [41, 0] Generated Node #3: [41, 0] from Operation: 87*0=0 Current State: 41:[41, 0], Operations: ['6-6=0', '87*0=0'] Exploring Operation: 41+0=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 50, 48, 38, 75 ]
34
[ "48*75=3600", "3600/50=72", "72-38=34" ]
Current State: 34:[50, 48, 38, 75], Operations: [] Exploring Operation: 48*75=3600, Resulting Numbers: [50, 38, 3600] Generated Node #2: [50, 38, 3600] from Operation: 48*75=3600 Current State: 34:[50, 38, 3600], Operations: ['48*75=3600'] Exploring Operation: 3600/50=72, Resulting Numbers: [38, 72] Generated Node #3: [38, 72] from Operation: 3600/50=72 Current State: 34:[38, 72], Operations: ['48*75=3600', '3600/50=72'] Exploring Operation: 72-38=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 87, 24, 73, 10 ]
100
[ "87-24=63", "73-63=10", "10*10=100" ]
Current State: 100:[87, 24, 73, 10], Operations: [] Exploring Operation: 87-24=63, Resulting Numbers: [73, 10, 63] Generated Node #2: [73, 10, 63] from Operation: 87-24=63 Current State: 100:[73, 10, 63], Operations: ['87-24=63'] Exploring Operation: 73-63=10, Resulting Numbers: [10, 10] Generated Node #3: [10, 10] from Operation: 73-63=10 Current State: 100:[10, 10], Operations: ['87-24=63', '73-63=10'] Exploring Operation: 10*10=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 95, 3, 10, 33 ]
94
[ "95+10=105", "33/3=11", "105-11=94" ]
Current State: 94:[95, 3, 10, 33], Operations: [] Exploring Operation: 95+10=105, Resulting Numbers: [3, 33, 105] Generated Node #2: [3, 33, 105] from Operation: 95+10=105 Current State: 94:[3, 33, 105], Operations: ['95+10=105'] Exploring Operation: 33/3=11, Resulting Numbers: [105, 11] Generated Node #3: [105, 11] from Operation: 33/3=11 Current State: 94:[105, 11], Operations: ['95+10=105', '33/3=11'] Exploring Operation: 105-11=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 54, 6, 29, 47 ]
12
[ "54-29=25", "47+25=72", "72/6=12" ]
Current State: 12:[54, 6, 29, 47], Operations: [] Exploring Operation: 54-29=25, Resulting Numbers: [6, 47, 25] Generated Node #2: [6, 47, 25] from Operation: 54-29=25 Current State: 12:[6, 47, 25], Operations: ['54-29=25'] Exploring Operation: 47+25=72, Resulting Numbers: [6, 72] Generated Node #3: [6, 72] from Operation: 47+25=72 Current State: 12:[6, 72], Operations: ['54-29=25', '47+25=72'] Exploring Operation: 72/6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 15, 3, 24, 63 ]
92
[ "15/3=5", "24+63=87", "5+87=92" ]
Current State: 92:[15, 3, 24, 63], Operations: [] Exploring Operation: 15/3=5, Resulting Numbers: [24, 63, 5] Generated Node #2: [24, 63, 5] from Operation: 15/3=5 Current State: 92:[24, 63, 5], Operations: ['15/3=5'] Exploring Operation: 24+63=87, Resulting Numbers: [5, 87] Generated Node #3: [5, 87] from Operation: 24+63=87 Current State: 92:[5, 87], Operations: ['15/3=5', '24+63=87'] Exploring Operation: 5+87=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 17, 14, 84, 85 ]
62
[ "85-17=68", "84/14=6", "68-6=62" ]
Current State: 62:[17, 14, 84, 85], Operations: [] Exploring Operation: 85-17=68, Resulting Numbers: [14, 84, 68] Generated Node #2: [14, 84, 68] from Operation: 85-17=68 Current State: 62:[14, 84, 68], Operations: ['85-17=68'] Exploring Operation: 84/14=6, Resulting Numbers: [68, 6] Generated Node #3: [68, 6] from Operation: 84/14=6 Current State: 62:[68, 6], Operations: ['85-17=68', '84/14=6'] Exploring Operation: 68-6=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 8, 98, 75, 26 ]
24
[ "98-75=23", "26-23=3", "8*3=24" ]
Current State: 24:[8, 98, 75, 26], Operations: [] Exploring Operation: 98-75=23, Resulting Numbers: [8, 26, 23] Generated Node #2: [8, 26, 23] from Operation: 98-75=23 Current State: 24:[8, 26, 23], Operations: ['98-75=23'] Exploring Operation: 26-23=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 26-23=3 Current State: 24:[8, 3], Operations: ['98-75=23', '26-23=3'] Exploring Operation: 8*3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 13, 55, 60, 67 ]
18
[ "67-55=12", "60/12=5", "13+5=18" ]
Current State: 18:[13, 55, 60, 67], Operations: [] Exploring Operation: 67-55=12, Resulting Numbers: [13, 60, 12] Generated Node #2: [13, 60, 12] from Operation: 67-55=12 Current State: 18:[13, 60, 12], Operations: ['67-55=12'] Exploring Operation: 60/12=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 60/12=5 Current State: 18:[13, 5], Operations: ['67-55=12', '60/12=5'] Exploring Operation: 13+5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 48, 63, 31, 2 ]
23
[ "63-48=15", "31+15=46", "46/2=23" ]
Current State: 23:[48, 63, 31, 2], Operations: [] Exploring Operation: 63-48=15, Resulting Numbers: [31, 2, 15] Generated Node #2: [31, 2, 15] from Operation: 63-48=15 Current State: 23:[31, 2, 15], Operations: ['63-48=15'] Exploring Operation: 31+15=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 31+15=46 Current State: 23:[2, 46], Operations: ['63-48=15', '31+15=46'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 29, 92, 91, 3 ]
94
[ "91-29=62", "3*62=186", "186-92=94" ]
Current State: 94:[29, 92, 91, 3], Operations: [] Exploring Operation: 91-29=62, Resulting Numbers: [92, 3, 62] Generated Node #2: [92, 3, 62] from Operation: 91-29=62 Current State: 94:[92, 3, 62], Operations: ['91-29=62'] Exploring Operation: 3*62=186, Resulting Numbers: [92, 186] Generated Node #3: [92, 186] from Operation: 3*62=186 Current State: 94:[92, 186], Operations: ['91-29=62', '3*62=186'] Exploring Operation: 186-92=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 13, 2, 45, 84 ]
97
[ "84-13=71", "2*71=142", "142-45=97" ]
Current State: 97:[13, 2, 45, 84], Operations: [] Exploring Operation: 84-13=71, Resulting Numbers: [2, 45, 71] Generated Node #2: [2, 45, 71] from Operation: 84-13=71 Current State: 97:[2, 45, 71], Operations: ['84-13=71'] Exploring Operation: 2*71=142, Resulting Numbers: [45, 142] Generated Node #3: [45, 142] from Operation: 2*71=142 Current State: 97:[45, 142], Operations: ['84-13=71', '2*71=142'] Exploring Operation: 142-45=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 84, 6, 3, 1 ]
87
[ "84+6=90", "3*1=3", "90-3=87" ]
Current State: 87:[84, 6, 3, 1], Operations: [] Exploring Operation: 84+6=90, Resulting Numbers: [3, 1, 90] Generated Node #2: [3, 1, 90] from Operation: 84+6=90 Current State: 87:[3, 1, 90], Operations: ['84+6=90'] Exploring Operation: 3*1=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 3*1=3 Current State: 87:[90, 3], Operations: ['84+6=90', '3*1=3'] Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 61, 7, 51, 42 ]
22
[ "61+51=112", "42+112=154", "154/7=22" ]
Current State: 22:[61, 7, 51, 42], Operations: [] Exploring Operation: 61+51=112, Resulting Numbers: [7, 42, 112] Generated Node #2: [7, 42, 112] from Operation: 61+51=112 Current State: 22:[7, 42, 112], Operations: ['61+51=112'] Exploring Operation: 42+112=154, Resulting Numbers: [7, 154] Generated Node #3: [7, 154] from Operation: 42+112=154 Current State: 22:[7, 154], Operations: ['61+51=112', '42+112=154'] Exploring Operation: 154/7=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 9, 16, 97, 10 ]
94
[ "16-9=7", "97-10=87", "7+87=94" ]
Current State: 94:[9, 16, 97, 10], Operations: [] Exploring Operation: 16-9=7, Resulting Numbers: [97, 10, 7] Generated Node #2: [97, 10, 7] from Operation: 16-9=7 Current State: 94:[97, 10, 7], Operations: ['16-9=7'] Exploring Operation: 97-10=87, Resulting Numbers: [7, 87] Generated Node #3: [7, 87] from Operation: 97-10=87 Current State: 94:[7, 87], Operations: ['16-9=7', '97-10=87'] Exploring Operation: 7+87=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 34, 31, 96, 10 ]
27
[ "34-10=24", "96/24=4", "31-4=27" ]
Current State: 27:[34, 31, 96, 10], Operations: [] Exploring Operation: 34-10=24, Resulting Numbers: [31, 96, 24] Generated Node #2: [31, 96, 24] from Operation: 34-10=24 Current State: 27:[31, 96, 24], Operations: ['34-10=24'] Exploring Operation: 96/24=4, Resulting Numbers: [31, 4] Generated Node #3: [31, 4] from Operation: 96/24=4 Current State: 27:[31, 4], Operations: ['34-10=24', '96/24=4'] Exploring Operation: 31-4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 79, 58, 98, 1 ]
77
[ "79-58=21", "98*1=98", "98-21=77" ]
Current State: 77:[79, 58, 98, 1], Operations: [] Exploring Operation: 79-58=21, Resulting Numbers: [98, 1, 21] Generated Node #2: [98, 1, 21] from Operation: 79-58=21 Current State: 77:[98, 1, 21], Operations: ['79-58=21'] Exploring Operation: 98*1=98, Resulting Numbers: [21, 98] Generated Node #3: [21, 98] from Operation: 98*1=98 Current State: 77:[21, 98], Operations: ['79-58=21', '98*1=98'] Exploring Operation: 98-21=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 63, 6, 20, 23 ]
26
[ "63+6=69", "20+23=43", "69-43=26" ]
Current State: 26:[63, 6, 20, 23], Operations: [] Exploring Operation: 63+6=69, Resulting Numbers: [20, 23, 69] Generated Node #2: [20, 23, 69] from Operation: 63+6=69 Current State: 26:[20, 23, 69], Operations: ['63+6=69'] Exploring Operation: 20+23=43, Resulting Numbers: [69, 43] Generated Node #3: [69, 43] from Operation: 20+23=43 Current State: 26:[69, 43], Operations: ['63+6=69', '20+23=43'] Exploring Operation: 69-43=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 15, 61, 43, 88 ]
55
[ "15+61=76", "43+88=131", "131-76=55" ]
Current State: 55:[15, 61, 43, 88], Operations: [] Exploring Operation: 15+61=76, Resulting Numbers: [43, 88, 76] Generated Node #2: [43, 88, 76] from Operation: 15+61=76 Current State: 55:[43, 88, 76], Operations: ['15+61=76'] Exploring Operation: 43+88=131, Resulting Numbers: [76, 131] Generated Node #3: [76, 131] from Operation: 43+88=131 Current State: 55:[76, 131], Operations: ['15+61=76', '43+88=131'] Exploring Operation: 131-76=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 28, 31, 79, 94 ]
74
[ "28+31=59", "94-79=15", "59+15=74" ]
Current State: 74:[28, 31, 79, 94], Operations: [] Exploring Operation: 28+31=59, Resulting Numbers: [79, 94, 59] Generated Node #2: [79, 94, 59] from Operation: 28+31=59 Current State: 74:[79, 94, 59], Operations: ['28+31=59'] Exploring Operation: 94-79=15, Resulting Numbers: [59, 15] Generated Node #3: [59, 15] from Operation: 94-79=15 Current State: 74:[59, 15], Operations: ['28+31=59', '94-79=15'] Exploring Operation: 59+15=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 14, 54, 2, 19 ]
75
[ "14+19=33", "54*2=108", "108-33=75" ]
Current State: 75:[14, 54, 2, 19], Operations: [] Exploring Operation: 14+19=33, Resulting Numbers: [54, 2, 33] Generated Node #2: [54, 2, 33] from Operation: 14+19=33 Current State: 75:[54, 2, 33], Operations: ['14+19=33'] Exploring Operation: 54*2=108, Resulting Numbers: [33, 108] Generated Node #3: [33, 108] from Operation: 54*2=108 Current State: 75:[33, 108], Operations: ['14+19=33', '54*2=108'] Exploring Operation: 108-33=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 23, 17, 55, 18 ]
79
[ "23-17=6", "55+18=73", "6+73=79" ]
Current State: 79:[23, 17, 55, 18], Operations: [] Exploring Operation: 23-17=6, Resulting Numbers: [55, 18, 6] Generated Node #2: [55, 18, 6] from Operation: 23-17=6 Current State: 79:[55, 18, 6], Operations: ['23-17=6'] Exploring Operation: 55+18=73, Resulting Numbers: [6, 73] Generated Node #3: [6, 73] from Operation: 55+18=73 Current State: 79:[6, 73], Operations: ['23-17=6', '55+18=73'] Exploring Operation: 6+73=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 57, 43, 12, 77 ]
91
[ "57-43=14", "12*14=168", "168-77=91" ]
Current State: 91:[57, 43, 12, 77], Operations: [] Exploring Operation: 57-43=14, Resulting Numbers: [12, 77, 14] Generated Node #2: [12, 77, 14] from Operation: 57-43=14 Current State: 91:[12, 77, 14], Operations: ['57-43=14'] Exploring Operation: 12*14=168, Resulting Numbers: [77, 168] Generated Node #3: [77, 168] from Operation: 12*14=168 Current State: 91:[77, 168], Operations: ['57-43=14', '12*14=168'] Exploring Operation: 168-77=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 32, 98, 18, 16 ]
40
[ "32/16=2", "98-18=80", "80/2=40" ]
Current State: 40:[32, 98, 18, 16], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [98, 18, 2] Generated Node #2: [98, 18, 2] from Operation: 32/16=2 Current State: 40:[98, 18, 2], Operations: ['32/16=2'] Exploring Operation: 98-18=80, Resulting Numbers: [2, 80] Generated Node #3: [2, 80] from Operation: 98-18=80 Current State: 40:[2, 80], Operations: ['32/16=2', '98-18=80'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 61, 29, 18, 7 ]
94
[ "61-29=32", "18*7=126", "126-32=94" ]
Current State: 94:[61, 29, 18, 7], Operations: [] Exploring Operation: 61-29=32, Resulting Numbers: [18, 7, 32] Generated Node #2: [18, 7, 32] from Operation: 61-29=32 Current State: 94:[18, 7, 32], Operations: ['61-29=32'] Exploring Operation: 18*7=126, Resulting Numbers: [32, 126] Generated Node #3: [32, 126] from Operation: 18*7=126 Current State: 94:[32, 126], Operations: ['61-29=32', '18*7=126'] Exploring Operation: 126-32=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 88, 6, 28, 79 ]
69
[ "88-28=60", "60/6=10", "79-10=69" ]
Current State: 69:[88, 6, 28, 79], Operations: [] Exploring Operation: 88-28=60, Resulting Numbers: [6, 79, 60] Generated Node #2: [6, 79, 60] from Operation: 88-28=60 Current State: 69:[6, 79, 60], Operations: ['88-28=60'] Exploring Operation: 60/6=10, Resulting Numbers: [79, 10] Generated Node #3: [79, 10] from Operation: 60/6=10 Current State: 69:[79, 10], Operations: ['88-28=60', '60/6=10'] Exploring Operation: 79-10=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 41, 17, 81, 96 ]
39
[ "41-17=24", "96-81=15", "24+15=39" ]
Current State: 39:[41, 17, 81, 96], Operations: [] Exploring Operation: 41-17=24, Resulting Numbers: [81, 96, 24] Generated Node #2: [81, 96, 24] from Operation: 41-17=24 Current State: 39:[81, 96, 24], Operations: ['41-17=24'] Exploring Operation: 96-81=15, Resulting Numbers: [24, 15] Generated Node #3: [24, 15] from Operation: 96-81=15 Current State: 39:[24, 15], Operations: ['41-17=24', '96-81=15'] Exploring Operation: 24+15=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 27, 1, 13, 34 ]
75
[ "27+1=28", "13+34=47", "28+47=75" ]
Current State: 75:[27, 1, 13, 34], Operations: [] Exploring Operation: 27+1=28, Resulting Numbers: [13, 34, 28] Generated Node #2: [13, 34, 28] from Operation: 27+1=28 Current State: 75:[13, 34, 28], Operations: ['27+1=28'] Exploring Operation: 13+34=47, Resulting Numbers: [28, 47] Generated Node #3: [28, 47] from Operation: 13+34=47 Current State: 75:[28, 47], Operations: ['27+1=28', '13+34=47'] Exploring Operation: 28+47=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 7, 80, 76, 78 ]
81
[ "80-7=73", "76+78=154", "154-73=81" ]
Current State: 81:[7, 80, 76, 78], Operations: [] Exploring Operation: 80-7=73, Resulting Numbers: [76, 78, 73] Generated Node #2: [76, 78, 73] from Operation: 80-7=73 Current State: 81:[76, 78, 73], Operations: ['80-7=73'] Exploring Operation: 76+78=154, Resulting Numbers: [73, 154] Generated Node #3: [73, 154] from Operation: 76+78=154 Current State: 81:[73, 154], Operations: ['80-7=73', '76+78=154'] Exploring Operation: 154-73=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 15, 5, 2, 25 ]
65
[ "15+5=20", "2*20=40", "25+40=65" ]
Current State: 65:[15, 5, 2, 25], Operations: [] Exploring Operation: 15+5=20, Resulting Numbers: [2, 25, 20] Generated Node #2: [2, 25, 20] from Operation: 15+5=20 Current State: 65:[2, 25, 20], Operations: ['15+5=20'] Exploring Operation: 2*20=40, Resulting Numbers: [25, 40] Generated Node #3: [25, 40] from Operation: 2*20=40 Current State: 65:[25, 40], Operations: ['15+5=20', '2*20=40'] Exploring Operation: 25+40=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 31, 62, 26, 42 ]
70
[ "62/31=2", "26+42=68", "2+68=70" ]
Current State: 70:[31, 62, 26, 42], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [26, 42, 2] Generated Node #2: [26, 42, 2] from Operation: 62/31=2 Current State: 70:[26, 42, 2], Operations: ['62/31=2'] Exploring Operation: 26+42=68, Resulting Numbers: [2, 68] Generated Node #3: [2, 68] from Operation: 26+42=68 Current State: 70:[2, 68], Operations: ['62/31=2', '26+42=68'] Exploring Operation: 2+68=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 40, 31, 19, 20 ]
70
[ "40+31=71", "20-19=1", "71-1=70" ]
Current State: 70:[40, 31, 19, 20], Operations: [] Exploring Operation: 40+31=71, Resulting Numbers: [19, 20, 71] Generated Node #2: [19, 20, 71] from Operation: 40+31=71 Current State: 70:[19, 20, 71], Operations: ['40+31=71'] Exploring Operation: 20-19=1, Resulting Numbers: [71, 1] Generated Node #3: [71, 1] from Operation: 20-19=1 Current State: 70:[71, 1], Operations: ['40+31=71', '20-19=1'] Exploring Operation: 71-1=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 90, 54, 15, 2 ]
18
[ "90/15=6", "54*2=108", "108/6=18" ]
Current State: 18:[90, 54, 15, 2], Operations: [] Exploring Operation: 90/15=6, Resulting Numbers: [54, 2, 6] Generated Node #2: [54, 2, 6] from Operation: 90/15=6 Current State: 18:[54, 2, 6], Operations: ['90/15=6'] Exploring Operation: 54*2=108, Resulting Numbers: [6, 108] Generated Node #3: [6, 108] from Operation: 54*2=108 Current State: 18:[6, 108], Operations: ['90/15=6', '54*2=108'] Exploring Operation: 108/6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 6, 70, 56, 68 ]
35
[ "6*70=420", "68-56=12", "420/12=35" ]
Current State: 35:[6, 70, 56, 68], Operations: [] Exploring Operation: 6*70=420, Resulting Numbers: [56, 68, 420] Generated Node #2: [56, 68, 420] from Operation: 6*70=420 Current State: 35:[56, 68, 420], Operations: ['6*70=420'] Exploring Operation: 68-56=12, Resulting Numbers: [420, 12] Generated Node #3: [420, 12] from Operation: 68-56=12 Current State: 35:[420, 12], Operations: ['6*70=420', '68-56=12'] Exploring Operation: 420/12=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 51, 50, 35, 69 ]
84
[ "51+69=120", "35*120=4200", "4200/50=84" ]
Current State: 84:[51, 50, 35, 69], Operations: [] Exploring Operation: 51+69=120, Resulting Numbers: [50, 35, 120] Generated Node #2: [50, 35, 120] from Operation: 51+69=120 Current State: 84:[50, 35, 120], Operations: ['51+69=120'] Exploring Operation: 35*120=4200, Resulting Numbers: [50, 4200] Generated Node #3: [50, 4200] from Operation: 35*120=4200 Current State: 84:[50, 4200], Operations: ['51+69=120', '35*120=4200'] Exploring Operation: 4200/50=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 38, 33, 72, 75 ]
15
[ "38-33=5", "75-72=3", "5*3=15" ]
Current State: 15:[38, 33, 72, 75], Operations: [] Exploring Operation: 38-33=5, Resulting Numbers: [72, 75, 5] Generated Node #2: [72, 75, 5] from Operation: 38-33=5 Current State: 15:[72, 75, 5], Operations: ['38-33=5'] Exploring Operation: 75-72=3, Resulting Numbers: [5, 3] Generated Node #3: [5, 3] from Operation: 75-72=3 Current State: 15:[5, 3], Operations: ['38-33=5', '75-72=3'] Exploring Operation: 5*3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 6, 18, 81, 11 ]
81
[ "18-6=12", "12-11=1", "81*1=81" ]
Current State: 81:[6, 18, 81, 11], Operations: [] Exploring Operation: 18-6=12, Resulting Numbers: [81, 11, 12] Generated Node #2: [81, 11, 12] from Operation: 18-6=12 Current State: 81:[81, 11, 12], Operations: ['18-6=12'] Exploring Operation: 12-11=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 12-11=1 Current State: 81:[81, 1], Operations: ['18-6=12', '12-11=1'] Exploring Operation: 81*1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 84, 14, 56, 27 ]
23
[ "84/14=6", "56-27=29", "29-6=23" ]
Current State: 23:[84, 14, 56, 27], Operations: [] Exploring Operation: 84/14=6, Resulting Numbers: [56, 27, 6] Generated Node #2: [56, 27, 6] from Operation: 84/14=6 Current State: 23:[56, 27, 6], Operations: ['84/14=6'] Exploring Operation: 56-27=29, Resulting Numbers: [6, 29] Generated Node #3: [6, 29] from Operation: 56-27=29 Current State: 23:[6, 29], Operations: ['84/14=6', '56-27=29'] Exploring Operation: 29-6=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 10, 36, 47, 62 ]
45
[ "10+62=72", "72/36=2", "47-2=45" ]
Current State: 45:[10, 36, 47, 62], Operations: [] Exploring Operation: 10+62=72, Resulting Numbers: [36, 47, 72] Generated Node #2: [36, 47, 72] from Operation: 10+62=72 Current State: 45:[36, 47, 72], Operations: ['10+62=72'] Exploring Operation: 72/36=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 72/36=2 Current State: 45:[47, 2], Operations: ['10+62=72', '72/36=2'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 11, 13, 37, 91 ]
93
[ "37-11=26", "26/13=2", "91+2=93" ]
Current State: 93:[11, 13, 37, 91], Operations: [] Exploring Operation: 37-11=26, Resulting Numbers: [13, 91, 26] Generated Node #2: [13, 91, 26] from Operation: 37-11=26 Current State: 93:[13, 91, 26], Operations: ['37-11=26'] Exploring Operation: 26/13=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 26/13=2 Current State: 93:[91, 2], Operations: ['37-11=26', '26/13=2'] Exploring Operation: 91+2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 39, 34, 63, 74 ]
16
[ "39-34=5", "74-63=11", "5+11=16" ]
Current State: 16:[39, 34, 63, 74], Operations: [] Exploring Operation: 39-34=5, Resulting Numbers: [63, 74, 5] Generated Node #2: [63, 74, 5] from Operation: 39-34=5 Current State: 16:[63, 74, 5], Operations: ['39-34=5'] Exploring Operation: 74-63=11, Resulting Numbers: [5, 11] Generated Node #3: [5, 11] from Operation: 74-63=11 Current State: 16:[5, 11], Operations: ['39-34=5', '74-63=11'] Exploring Operation: 5+11=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 53, 77, 38, 37 ]
99
[ "77-53=24", "38+37=75", "24+75=99" ]
Current State: 99:[53, 77, 38, 37], Operations: [] Exploring Operation: 77-53=24, Resulting Numbers: [38, 37, 24] Generated Node #2: [38, 37, 24] from Operation: 77-53=24 Current State: 99:[38, 37, 24], Operations: ['77-53=24'] Exploring Operation: 38+37=75, Resulting Numbers: [24, 75] Generated Node #3: [24, 75] from Operation: 38+37=75 Current State: 99:[24, 75], Operations: ['77-53=24', '38+37=75'] Exploring Operation: 24+75=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 12, 51, 84, 68 ]
93
[ "12*51=612", "612/68=9", "84+9=93" ]
Current State: 93:[12, 51, 84, 68], Operations: [] Exploring Operation: 12*51=612, Resulting Numbers: [84, 68, 612] Generated Node #2: [84, 68, 612] from Operation: 12*51=612 Current State: 93:[84, 68, 612], Operations: ['12*51=612'] Exploring Operation: 612/68=9, Resulting Numbers: [84, 9] Generated Node #3: [84, 9] from Operation: 612/68=9 Current State: 93:[84, 9], Operations: ['12*51=612', '612/68=9'] Exploring Operation: 84+9=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 68, 39, 78, 22 ]
74
[ "39-22=17", "68/17=4", "78-4=74" ]
Current State: 74:[68, 39, 78, 22], Operations: [] Exploring Operation: 39-22=17, Resulting Numbers: [68, 78, 17] Generated Node #2: [68, 78, 17] from Operation: 39-22=17 Current State: 74:[68, 78, 17], Operations: ['39-22=17'] Exploring Operation: 68/17=4, Resulting Numbers: [78, 4] Generated Node #3: [78, 4] from Operation: 68/17=4 Current State: 74:[78, 4], Operations: ['39-22=17', '68/17=4'] Exploring Operation: 78-4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 32, 81, 9, 24 ]
34
[ "81-32=49", "24-9=15", "49-15=34" ]
Current State: 34:[32, 81, 9, 24], Operations: [] Exploring Operation: 81-32=49, Resulting Numbers: [9, 24, 49] Generated Node #2: [9, 24, 49] from Operation: 81-32=49 Current State: 34:[9, 24, 49], Operations: ['81-32=49'] Exploring Operation: 24-9=15, Resulting Numbers: [49, 15] Generated Node #3: [49, 15] from Operation: 24-9=15 Current State: 34:[49, 15], Operations: ['81-32=49', '24-9=15'] Exploring Operation: 49-15=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 63, 48, 87, 68 ]
66
[ "87-63=24", "48/24=2", "68-2=66" ]
Current State: 66:[63, 48, 87, 68], Operations: [] Exploring Operation: 87-63=24, Resulting Numbers: [48, 68, 24] Generated Node #2: [48, 68, 24] from Operation: 87-63=24 Current State: 66:[48, 68, 24], Operations: ['87-63=24'] Exploring Operation: 48/24=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 48/24=2 Current State: 66:[68, 2], Operations: ['87-63=24', '48/24=2'] Exploring Operation: 68-2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 70, 32, 25, 94 ]
31
[ "70-32=38", "94-25=69", "69-38=31" ]
Current State: 31:[70, 32, 25, 94], Operations: [] Exploring Operation: 70-32=38, Resulting Numbers: [25, 94, 38] Generated Node #2: [25, 94, 38] from Operation: 70-32=38 Current State: 31:[25, 94, 38], Operations: ['70-32=38'] Exploring Operation: 94-25=69, Resulting Numbers: [38, 69] Generated Node #3: [38, 69] from Operation: 94-25=69 Current State: 31:[38, 69], Operations: ['70-32=38', '94-25=69'] Exploring Operation: 69-38=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 15, 14, 51, 5 ]
57
[ "15-14=1", "51+5=56", "1+56=57" ]
Current State: 57:[15, 14, 51, 5], Operations: [] Exploring Operation: 15-14=1, Resulting Numbers: [51, 5, 1] Generated Node #2: [51, 5, 1] from Operation: 15-14=1 Current State: 57:[51, 5, 1], Operations: ['15-14=1'] Exploring Operation: 51+5=56, Resulting Numbers: [1, 56] Generated Node #3: [1, 56] from Operation: 51+5=56 Current State: 57:[1, 56], Operations: ['15-14=1', '51+5=56'] Exploring Operation: 1+56=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 31, 32, 21, 11 ]
10
[ "32-31=1", "21-11=10", "1*10=10" ]
Current State: 10:[31, 32, 21, 11], Operations: [] Exploring Operation: 32-31=1, Resulting Numbers: [21, 11, 1] Generated Node #2: [21, 11, 1] from Operation: 32-31=1 Current State: 10:[21, 11, 1], Operations: ['32-31=1'] Exploring Operation: 21-11=10, Resulting Numbers: [1, 10] Generated Node #3: [1, 10] from Operation: 21-11=10 Current State: 10:[1, 10], Operations: ['32-31=1', '21-11=10'] Exploring Operation: 1*10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 19, 26, 55, 3 ]
51
[ "26-19=7", "55+3=58", "58-7=51" ]
Current State: 51:[19, 26, 55, 3], Operations: [] Exploring Operation: 26-19=7, Resulting Numbers: [55, 3, 7] Generated Node #2: [55, 3, 7] from Operation: 26-19=7 Current State: 51:[55, 3, 7], Operations: ['26-19=7'] Exploring Operation: 55+3=58, Resulting Numbers: [7, 58] Generated Node #3: [7, 58] from Operation: 55+3=58 Current State: 51:[7, 58], Operations: ['26-19=7', '55+3=58'] Exploring Operation: 58-7=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 32, 19, 96, 54 ]
55
[ "32-19=13", "96-54=42", "13+42=55" ]
Current State: 55:[32, 19, 96, 54], Operations: [] Exploring Operation: 32-19=13, Resulting Numbers: [96, 54, 13] Generated Node #2: [96, 54, 13] from Operation: 32-19=13 Current State: 55:[96, 54, 13], Operations: ['32-19=13'] Exploring Operation: 96-54=42, Resulting Numbers: [13, 42] Generated Node #3: [13, 42] from Operation: 96-54=42 Current State: 55:[13, 42], Operations: ['32-19=13', '96-54=42'] Exploring Operation: 13+42=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 63, 56, 95, 42 ]
26
[ "95-56=39", "42*39=1638", "1638/63=26" ]
Current State: 26:[63, 56, 95, 42], Operations: [] Exploring Operation: 95-56=39, Resulting Numbers: [63, 42, 39] Generated Node #2: [63, 42, 39] from Operation: 95-56=39 Current State: 26:[63, 42, 39], Operations: ['95-56=39'] Exploring Operation: 42*39=1638, Resulting Numbers: [63, 1638] Generated Node #3: [63, 1638] from Operation: 42*39=1638 Current State: 26:[63, 1638], Operations: ['95-56=39', '42*39=1638'] Exploring Operation: 1638/63=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 80, 82, 77, 51 ]
25
[ "82-80=2", "51*2=102", "102-77=25" ]
Current State: 25:[80, 82, 77, 51], Operations: [] Exploring Operation: 82-80=2, Resulting Numbers: [77, 51, 2] Generated Node #2: [77, 51, 2] from Operation: 82-80=2 Current State: 25:[77, 51, 2], Operations: ['82-80=2'] Exploring Operation: 51*2=102, Resulting Numbers: [77, 102] Generated Node #3: [77, 102] from Operation: 51*2=102 Current State: 25:[77, 102], Operations: ['82-80=2', '51*2=102'] Exploring Operation: 102-77=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 78, 67, 92, 2 ]
70
[ "78-67=11", "2*11=22", "92-22=70" ]
Current State: 70:[78, 67, 92, 2], Operations: [] Exploring Operation: 78-67=11, Resulting Numbers: [92, 2, 11] Generated Node #2: [92, 2, 11] from Operation: 78-67=11 Current State: 70:[92, 2, 11], Operations: ['78-67=11'] Exploring Operation: 2*11=22, Resulting Numbers: [92, 22] Generated Node #3: [92, 22] from Operation: 2*11=22 Current State: 70:[92, 22], Operations: ['78-67=11', '2*11=22'] Exploring Operation: 92-22=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 94, 87, 9, 5 ]
11
[ "94-87=7", "9-5=4", "7+4=11" ]
Current State: 11:[94, 87, 9, 5], Operations: [] Exploring Operation: 94-87=7, Resulting Numbers: [9, 5, 7] Generated Node #2: [9, 5, 7] from Operation: 94-87=7 Current State: 11:[9, 5, 7], Operations: ['94-87=7'] Exploring Operation: 9-5=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 9-5=4 Current State: 11:[7, 4], Operations: ['94-87=7', '9-5=4'] Exploring Operation: 7+4=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 40, 12, 7, 39 ]
96
[ "40+7=47", "47-39=8", "12*8=96" ]
Current State: 96:[40, 12, 7, 39], Operations: [] Exploring Operation: 40+7=47, Resulting Numbers: [12, 39, 47] Generated Node #2: [12, 39, 47] from Operation: 40+7=47 Current State: 96:[12, 39, 47], Operations: ['40+7=47'] Exploring Operation: 47-39=8, Resulting Numbers: [12, 8] Generated Node #3: [12, 8] from Operation: 47-39=8 Current State: 96:[12, 8], Operations: ['40+7=47', '47-39=8'] Exploring Operation: 12*8=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 91, 66, 8, 40 ]
30
[ "91-66=25", "40/8=5", "25+5=30" ]
Current State: 30:[91, 66, 8, 40], Operations: [] Exploring Operation: 91-66=25, Resulting Numbers: [8, 40, 25] Generated Node #2: [8, 40, 25] from Operation: 91-66=25 Current State: 30:[8, 40, 25], Operations: ['91-66=25'] Exploring Operation: 40/8=5, Resulting Numbers: [25, 5] Generated Node #3: [25, 5] from Operation: 40/8=5 Current State: 30:[25, 5], Operations: ['91-66=25', '40/8=5'] Exploring Operation: 25+5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 85, 87, 48, 13 ]
88
[ "87-48=39", "39/13=3", "85+3=88" ]
Current State: 88:[85, 87, 48, 13], Operations: [] Exploring Operation: 87-48=39, Resulting Numbers: [85, 13, 39] Generated Node #2: [85, 13, 39] from Operation: 87-48=39 Current State: 88:[85, 13, 39], Operations: ['87-48=39'] Exploring Operation: 39/13=3, Resulting Numbers: [85, 3] Generated Node #3: [85, 3] from Operation: 39/13=3 Current State: 88:[85, 3], Operations: ['87-48=39', '39/13=3'] Exploring Operation: 85+3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 86, 34, 40, 69 ]
11
[ "86+34=120", "40+69=109", "120-109=11" ]
Current State: 11:[86, 34, 40, 69], Operations: [] Exploring Operation: 86+34=120, Resulting Numbers: [40, 69, 120] Generated Node #2: [40, 69, 120] from Operation: 86+34=120 Current State: 11:[40, 69, 120], Operations: ['86+34=120'] Exploring Operation: 40+69=109, Resulting Numbers: [120, 109] Generated Node #3: [120, 109] from Operation: 40+69=109 Current State: 11:[120, 109], Operations: ['86+34=120', '40+69=109'] Exploring Operation: 120-109=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 33, 47, 1, 68 ]
83
[ "47-33=14", "1+68=69", "14+69=83" ]
Current State: 83:[33, 47, 1, 68], Operations: [] Exploring Operation: 47-33=14, Resulting Numbers: [1, 68, 14] Generated Node #2: [1, 68, 14] from Operation: 47-33=14 Current State: 83:[1, 68, 14], Operations: ['47-33=14'] Exploring Operation: 1+68=69, Resulting Numbers: [14, 69] Generated Node #3: [14, 69] from Operation: 1+68=69 Current State: 83:[14, 69], Operations: ['47-33=14', '1+68=69'] Exploring Operation: 14+69=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 32, 52, 38, 61 ]
54
[ "38-32=6", "61-52=9", "6*9=54" ]
Current State: 54:[32, 52, 38, 61], Operations: [] Exploring Operation: 38-32=6, Resulting Numbers: [52, 61, 6] Generated Node #2: [52, 61, 6] from Operation: 38-32=6 Current State: 54:[52, 61, 6], Operations: ['38-32=6'] Exploring Operation: 61-52=9, Resulting Numbers: [6, 9] Generated Node #3: [6, 9] from Operation: 61-52=9 Current State: 54:[6, 9], Operations: ['38-32=6', '61-52=9'] Exploring Operation: 6*9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 54, 1, 47, 27 ]
47
[ "54/27=2", "2-1=1", "47*1=47" ]
Current State: 47:[54, 1, 47, 27], Operations: [] Exploring Operation: 54/27=2, Resulting Numbers: [1, 47, 2] Generated Node #2: [1, 47, 2] from Operation: 54/27=2 Current State: 47:[1, 47, 2], Operations: ['54/27=2'] Exploring Operation: 2-1=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 2-1=1 Current State: 47:[47, 1], Operations: ['54/27=2', '2-1=1'] Exploring Operation: 47*1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 54, 36, 60, 39 ]
54
[ "54*39=2106", "36*60=2160", "2160-2106=54" ]
Current State: 54:[54, 36, 60, 39], Operations: [] Exploring Operation: 54*39=2106, Resulting Numbers: [36, 60, 2106] Generated Node #2: [36, 60, 2106] from Operation: 54*39=2106 Current State: 54:[36, 60, 2106], Operations: ['54*39=2106'] Exploring Operation: 36*60=2160, Resulting Numbers: [2106, 2160] Generated Node #3: [2106, 2160] from Operation: 36*60=2160 Current State: 54:[2106, 2160], Operations: ['54*39=2106', '36*60=2160'] Exploring Operation: 2160-2106=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 81, 7, 28, 4 ]
81
[ "81+7=88", "28/4=7", "88-7=81" ]
Current State: 81:[81, 7, 28, 4], Operations: [] Exploring Operation: 81+7=88, Resulting Numbers: [28, 4, 88] Generated Node #2: [28, 4, 88] from Operation: 81+7=88 Current State: 81:[28, 4, 88], Operations: ['81+7=88'] Exploring Operation: 28/4=7, Resulting Numbers: [88, 7] Generated Node #3: [88, 7] from Operation: 28/4=7 Current State: 81:[88, 7], Operations: ['81+7=88', '28/4=7'] Exploring Operation: 88-7=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 75, 49, 51, 70 ]
45
[ "75-49=26", "70-51=19", "26+19=45" ]
Current State: 45:[75, 49, 51, 70], Operations: [] Exploring Operation: 75-49=26, Resulting Numbers: [51, 70, 26] Generated Node #2: [51, 70, 26] from Operation: 75-49=26 Current State: 45:[51, 70, 26], Operations: ['75-49=26'] Exploring Operation: 70-51=19, Resulting Numbers: [26, 19] Generated Node #3: [26, 19] from Operation: 70-51=19 Current State: 45:[26, 19], Operations: ['75-49=26', '70-51=19'] Exploring Operation: 26+19=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 77, 6, 19, 21 ]
41
[ "77*6=462", "462/21=22", "19+22=41" ]
Current State: 41:[77, 6, 19, 21], Operations: [] Exploring Operation: 77*6=462, Resulting Numbers: [19, 21, 462] Generated Node #2: [19, 21, 462] from Operation: 77*6=462 Current State: 41:[19, 21, 462], Operations: ['77*6=462'] Exploring Operation: 462/21=22, Resulting Numbers: [19, 22] Generated Node #3: [19, 22] from Operation: 462/21=22 Current State: 41:[19, 22], Operations: ['77*6=462', '462/21=22'] Exploring Operation: 19+22=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 19, 47, 8, 14 ]
11
[ "19+47=66", "14-8=6", "66/6=11" ]
Current State: 11:[19, 47, 8, 14], Operations: [] Exploring Operation: 19+47=66, Resulting Numbers: [8, 14, 66] Generated Node #2: [8, 14, 66] from Operation: 19+47=66 Current State: 11:[8, 14, 66], Operations: ['19+47=66'] Exploring Operation: 14-8=6, Resulting Numbers: [66, 6] Generated Node #3: [66, 6] from Operation: 14-8=6 Current State: 11:[66, 6], Operations: ['19+47=66', '14-8=6'] Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 11, 7, 13, 41 ]
32
[ "11-7=4", "41-13=28", "4+28=32" ]
Current State: 32:[11, 7, 13, 41], Operations: [] Exploring Operation: 11-7=4, Resulting Numbers: [13, 41, 4] Generated Node #2: [13, 41, 4] from Operation: 11-7=4 Current State: 32:[13, 41, 4], Operations: ['11-7=4'] Exploring Operation: 41-13=28, Resulting Numbers: [4, 28] Generated Node #3: [4, 28] from Operation: 41-13=28 Current State: 32:[4, 28], Operations: ['11-7=4', '41-13=28'] Exploring Operation: 4+28=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4