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
[ 46, 31, 68, 45 ]
71
[ "46-31=15", "45/15=3", "68+3=71" ]
Current State: 71:[46, 31, 68, 45], Operations: [] Exploring Operation: 46-31=15, Resulting Numbers: [68, 45, 15] Generated Node #2: [68, 45, 15] from Operation: 46-31=15 Current State: 71:[68, 45, 15], Operations: ['46-31=15'] Exploring Operation: 45/15=3, Resulting Numbers: [68, 3] Generated Node #3: [68, 3] from Operation: 45/15=3 Current State: 71:[68, 3], Operations: ['46-31=15', '45/15=3'] Exploring Operation: 68+3=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 7, 44, 4, 61 ]
64
[ "7*44=308", "4*61=244", "308-244=64" ]
Current State: 64:[7, 44, 4, 61], Operations: [] Exploring Operation: 7*44=308, Resulting Numbers: [4, 61, 308] Generated Node #2: [4, 61, 308] from Operation: 7*44=308 Current State: 64:[4, 61, 308], Operations: ['7*44=308'] Exploring Operation: 4*61=244, Resulting Numbers: [308, 244] Generated Node #3: [308, 244] from Operation: 4*61=244 Current State: 64:[308, 244], Operations: ['7*44=308', '4*61=244'] Exploring Operation: 308-244=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 25, 11, 28, 50 ]
67
[ "50/25=2", "28*2=56", "11+56=67" ]
Current State: 67:[25, 11, 28, 50], Operations: [] Exploring Operation: 50/25=2, Resulting Numbers: [11, 28, 2] Generated Node #2: [11, 28, 2] from Operation: 50/25=2 Current State: 67:[11, 28, 2], Operations: ['50/25=2'] Exploring Operation: 28*2=56, Resulting Numbers: [11, 56] Generated Node #3: [11, 56] from Operation: 28*2=56 Current State: 67:[11, 56], Operations: ['50/25=2', '28*2=56'] Exploring Operation: 11+56=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 46, 21, 38, 32 ]
95
[ "46-21=25", "38+32=70", "25+70=95" ]
Current State: 95:[46, 21, 38, 32], Operations: [] Exploring Operation: 46-21=25, Resulting Numbers: [38, 32, 25] Generated Node #2: [38, 32, 25] from Operation: 46-21=25 Current State: 95:[38, 32, 25], Operations: ['46-21=25'] Exploring Operation: 38+32=70, Resulting Numbers: [25, 70] Generated Node #3: [25, 70] from Operation: 38+32=70 Current State: 95:[25, 70], Operations: ['46-21=25', '38+32=70'] Exploring Operation: 25+70=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 35, 12, 47, 57 ]
70
[ "12+47=59", "59-57=2", "35*2=70" ]
Current State: 70:[35, 12, 47, 57], Operations: [] Exploring Operation: 12+47=59, Resulting Numbers: [35, 57, 59] Generated Node #2: [35, 57, 59] from Operation: 12+47=59 Current State: 70:[35, 57, 59], Operations: ['12+47=59'] Exploring Operation: 59-57=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 59-57=2 Current State: 70:[35, 2], Operations: ['12+47=59', '59-57=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 66, 51, 74, 73 ]
15
[ "66-51=15", "74-73=1", "15*1=15" ]
Current State: 15:[66, 51, 74, 73], Operations: [] Exploring Operation: 66-51=15, Resulting Numbers: [74, 73, 15] Generated Node #2: [74, 73, 15] from Operation: 66-51=15 Current State: 15:[74, 73, 15], Operations: ['66-51=15'] Exploring Operation: 74-73=1, Resulting Numbers: [15, 1] Generated Node #3: [15, 1] from Operation: 74-73=1 Current State: 15:[15, 1], Operations: ['66-51=15', '74-73=1'] Exploring Operation: 15*1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 21, 98, 49, 16 ]
10
[ "21-16=5", "98/49=2", "5*2=10" ]
Current State: 10:[21, 98, 49, 16], Operations: [] Exploring Operation: 21-16=5, Resulting Numbers: [98, 49, 5] Generated Node #2: [98, 49, 5] from Operation: 21-16=5 Current State: 10:[98, 49, 5], Operations: ['21-16=5'] Exploring Operation: 98/49=2, Resulting Numbers: [5, 2] Generated Node #3: [5, 2] from Operation: 98/49=2 Current State: 10:[5, 2], Operations: ['21-16=5', '98/49=2'] Exploring Operation: 5*2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 95, 59, 70, 88 ]
77
[ "95-88=7", "70-59=11", "7*11=77" ]
Current State: 77:[95, 59, 70, 88], Operations: [] Exploring Operation: 95-88=7, Resulting Numbers: [59, 70, 7] Generated Node #2: [59, 70, 7] from Operation: 95-88=7 Current State: 77:[59, 70, 7], Operations: ['95-88=7'] Exploring Operation: 70-59=11, Resulting Numbers: [7, 11] Generated Node #3: [7, 11] from Operation: 70-59=11 Current State: 77:[7, 11], Operations: ['95-88=7', '70-59=11'] Exploring Operation: 7*11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 63, 36, 56, 12 ]
44
[ "36*56=2016", "2016/63=32", "12+32=44" ]
Current State: 44:[63, 36, 56, 12], Operations: [] Exploring Operation: 36*56=2016, Resulting Numbers: [63, 12, 2016] Generated Node #2: [63, 12, 2016] from Operation: 36*56=2016 Current State: 44:[63, 12, 2016], Operations: ['36*56=2016'] Exploring Operation: 2016/63=32, Resulting Numbers: [12, 32] Generated Node #3: [12, 32] from Operation: 2016/63=32 Current State: 44:[12, 32], Operations: ['36*56=2016', '2016/63=32'] Exploring Operation: 12+32=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 78, 54, 97, 20 ]
53
[ "78-54=24", "97-20=77", "77-24=53" ]
Current State: 53:[78, 54, 97, 20], Operations: [] Exploring Operation: 78-54=24, Resulting Numbers: [97, 20, 24] Generated Node #2: [97, 20, 24] from Operation: 78-54=24 Current State: 53:[97, 20, 24], Operations: ['78-54=24'] Exploring Operation: 97-20=77, Resulting Numbers: [24, 77] Generated Node #3: [24, 77] from Operation: 97-20=77 Current State: 53:[24, 77], Operations: ['78-54=24', '97-20=77'] Exploring Operation: 77-24=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 42, 59, 75, 37 ]
74
[ "42-37=5", "75/5=15", "59+15=74" ]
Current State: 74:[42, 59, 75, 37], Operations: [] Exploring Operation: 42-37=5, Resulting Numbers: [59, 75, 5] Generated Node #2: [59, 75, 5] from Operation: 42-37=5 Current State: 74:[59, 75, 5], Operations: ['42-37=5'] Exploring Operation: 75/5=15, Resulting Numbers: [59, 15] Generated Node #3: [59, 15] from Operation: 75/5=15 Current State: 74:[59, 15], Operations: ['42-37=5', '75/5=15'] Exploring Operation: 59+15=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 11, 6, 41, 33 ]
44
[ "33/11=3", "6+41=47", "47-3=44" ]
Current State: 44:[11, 6, 41, 33], Operations: [] Exploring Operation: 33/11=3, Resulting Numbers: [6, 41, 3] Generated Node #2: [6, 41, 3] from Operation: 33/11=3 Current State: 44:[6, 41, 3], Operations: ['33/11=3'] Exploring Operation: 6+41=47, Resulting Numbers: [3, 47] Generated Node #3: [3, 47] from Operation: 6+41=47 Current State: 44:[3, 47], Operations: ['33/11=3', '6+41=47'] Exploring Operation: 47-3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 15, 14, 4, 26 ]
98
[ "15+4=19", "26-19=7", "14*7=98" ]
Current State: 98:[15, 14, 4, 26], Operations: [] Exploring Operation: 15+4=19, Resulting Numbers: [14, 26, 19] Generated Node #2: [14, 26, 19] from Operation: 15+4=19 Current State: 98:[14, 26, 19], Operations: ['15+4=19'] Exploring Operation: 26-19=7, Resulting Numbers: [14, 7] Generated Node #3: [14, 7] from Operation: 26-19=7 Current State: 98:[14, 7], Operations: ['15+4=19', '26-19=7'] Exploring Operation: 14*7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 35, 11, 53, 15 ]
72
[ "53-35=18", "15-11=4", "18*4=72" ]
Current State: 72:[35, 11, 53, 15], Operations: [] Exploring Operation: 53-35=18, Resulting Numbers: [11, 15, 18] Generated Node #2: [11, 15, 18] from Operation: 53-35=18 Current State: 72:[11, 15, 18], Operations: ['53-35=18'] Exploring Operation: 15-11=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 15-11=4 Current State: 72:[18, 4], Operations: ['53-35=18', '15-11=4'] Exploring Operation: 18*4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 31, 3, 9, 88 ]
92
[ "31+88=119", "3*9=27", "119-27=92" ]
Current State: 92:[31, 3, 9, 88], Operations: [] Exploring Operation: 31+88=119, Resulting Numbers: [3, 9, 119] Generated Node #2: [3, 9, 119] from Operation: 31+88=119 Current State: 92:[3, 9, 119], Operations: ['31+88=119'] Exploring Operation: 3*9=27, Resulting Numbers: [119, 27] Generated Node #3: [119, 27] from Operation: 3*9=27 Current State: 92:[119, 27], Operations: ['31+88=119', '3*9=27'] Exploring Operation: 119-27=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 73, 60, 93, 18 ]
58
[ "73+60=133", "93-18=75", "133-75=58" ]
Current State: 58:[73, 60, 93, 18], Operations: [] Exploring Operation: 73+60=133, Resulting Numbers: [93, 18, 133] Generated Node #2: [93, 18, 133] from Operation: 73+60=133 Current State: 58:[93, 18, 133], Operations: ['73+60=133'] Exploring Operation: 93-18=75, Resulting Numbers: [133, 75] Generated Node #3: [133, 75] from Operation: 93-18=75 Current State: 58:[133, 75], Operations: ['73+60=133', '93-18=75'] Exploring Operation: 133-75=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 68, 1, 58, 2 ]
62
[ "68+58=126", "126/2=63", "63-1=62" ]
Current State: 62:[68, 1, 58, 2], Operations: [] Exploring Operation: 68+58=126, Resulting Numbers: [1, 2, 126] Generated Node #2: [1, 2, 126] from Operation: 68+58=126 Current State: 62:[1, 2, 126], Operations: ['68+58=126'] Exploring Operation: 126/2=63, Resulting Numbers: [1, 63] Generated Node #3: [1, 63] from Operation: 126/2=63 Current State: 62:[1, 63], Operations: ['68+58=126', '126/2=63'] Exploring Operation: 63-1=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 67, 81, 15, 73 ]
53
[ "81-73=8", "15*8=120", "120-67=53" ]
Current State: 53:[67, 81, 15, 73], Operations: [] Exploring Operation: 81-73=8, Resulting Numbers: [67, 15, 8] Generated Node #2: [67, 15, 8] from Operation: 81-73=8 Current State: 53:[67, 15, 8], Operations: ['81-73=8'] Exploring Operation: 15*8=120, Resulting Numbers: [67, 120] Generated Node #3: [67, 120] from Operation: 15*8=120 Current State: 53:[67, 120], Operations: ['81-73=8', '15*8=120'] Exploring Operation: 120-67=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 62, 30, 7, 6 ]
50
[ "62+30=92", "7*6=42", "92-42=50" ]
Current State: 50:[62, 30, 7, 6], Operations: [] Exploring Operation: 62+30=92, Resulting Numbers: [7, 6, 92] Generated Node #2: [7, 6, 92] from Operation: 62+30=92 Current State: 50:[7, 6, 92], Operations: ['62+30=92'] Exploring Operation: 7*6=42, Resulting Numbers: [92, 42] Generated Node #3: [92, 42] from Operation: 7*6=42 Current State: 50:[92, 42], Operations: ['62+30=92', '7*6=42'] Exploring Operation: 92-42=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 26, 85, 35, 36 ]
58
[ "85-26=59", "36-35=1", "59-1=58" ]
Current State: 58:[26, 85, 35, 36], Operations: [] Exploring Operation: 85-26=59, Resulting Numbers: [35, 36, 59] Generated Node #2: [35, 36, 59] from Operation: 85-26=59 Current State: 58:[35, 36, 59], Operations: ['85-26=59'] Exploring Operation: 36-35=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 36-35=1 Current State: 58:[59, 1], Operations: ['85-26=59', '36-35=1'] Exploring Operation: 59-1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 69, 11, 16, 60 ]
57
[ "16-11=5", "60/5=12", "69-12=57" ]
Current State: 57:[69, 11, 16, 60], Operations: [] Exploring Operation: 16-11=5, Resulting Numbers: [69, 60, 5] Generated Node #2: [69, 60, 5] from Operation: 16-11=5 Current State: 57:[69, 60, 5], Operations: ['16-11=5'] Exploring Operation: 60/5=12, Resulting Numbers: [69, 12] Generated Node #3: [69, 12] from Operation: 60/5=12 Current State: 57:[69, 12], Operations: ['16-11=5', '60/5=12'] Exploring Operation: 69-12=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 67, 84, 2, 47 ]
44
[ "67-47=20", "2*20=40", "84-40=44" ]
Current State: 44:[67, 84, 2, 47], Operations: [] Exploring Operation: 67-47=20, Resulting Numbers: [84, 2, 20] Generated Node #2: [84, 2, 20] from Operation: 67-47=20 Current State: 44:[84, 2, 20], Operations: ['67-47=20'] Exploring Operation: 2*20=40, Resulting Numbers: [84, 40] Generated Node #3: [84, 40] from Operation: 2*20=40 Current State: 44:[84, 40], Operations: ['67-47=20', '2*20=40'] Exploring Operation: 84-40=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 65, 5, 9, 50 ]
46
[ "65/5=13", "9+50=59", "59-13=46" ]
Current State: 46:[65, 5, 9, 50], Operations: [] Exploring Operation: 65/5=13, Resulting Numbers: [9, 50, 13] Generated Node #2: [9, 50, 13] from Operation: 65/5=13 Current State: 46:[9, 50, 13], Operations: ['65/5=13'] Exploring Operation: 9+50=59, Resulting Numbers: [13, 59] Generated Node #3: [13, 59] from Operation: 9+50=59 Current State: 46:[13, 59], Operations: ['65/5=13', '9+50=59'] Exploring Operation: 59-13=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 92, 14, 57, 32 ]
80
[ "92-57=35", "32*35=1120", "1120/14=80" ]
Current State: 80:[92, 14, 57, 32], Operations: [] Exploring Operation: 92-57=35, Resulting Numbers: [14, 32, 35] Generated Node #2: [14, 32, 35] from Operation: 92-57=35 Current State: 80:[14, 32, 35], Operations: ['92-57=35'] Exploring Operation: 32*35=1120, Resulting Numbers: [14, 1120] Generated Node #3: [14, 1120] from Operation: 32*35=1120 Current State: 80:[14, 1120], Operations: ['92-57=35', '32*35=1120'] Exploring Operation: 1120/14=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 74, 50, 31, 14 ]
21
[ "74-50=24", "31+14=45", "45-24=21" ]
Current State: 21:[74, 50, 31, 14], Operations: [] Exploring Operation: 74-50=24, Resulting Numbers: [31, 14, 24] Generated Node #2: [31, 14, 24] from Operation: 74-50=24 Current State: 21:[31, 14, 24], Operations: ['74-50=24'] Exploring Operation: 31+14=45, Resulting Numbers: [24, 45] Generated Node #3: [24, 45] from Operation: 31+14=45 Current State: 21:[24, 45], Operations: ['74-50=24', '31+14=45'] Exploring Operation: 45-24=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 40, 9, 78, 65 ]
18
[ "40-9=31", "78-65=13", "31-13=18" ]
Current State: 18:[40, 9, 78, 65], Operations: [] Exploring Operation: 40-9=31, Resulting Numbers: [78, 65, 31] Generated Node #2: [78, 65, 31] from Operation: 40-9=31 Current State: 18:[78, 65, 31], Operations: ['40-9=31'] Exploring Operation: 78-65=13, Resulting Numbers: [31, 13] Generated Node #3: [31, 13] from Operation: 78-65=13 Current State: 18:[31, 13], Operations: ['40-9=31', '78-65=13'] Exploring Operation: 31-13=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 25, 55, 58, 95 ]
52
[ "55+95=150", "150/25=6", "58-6=52" ]
Current State: 52:[25, 55, 58, 95], Operations: [] Exploring Operation: 55+95=150, Resulting Numbers: [25, 58, 150] Generated Node #2: [25, 58, 150] from Operation: 55+95=150 Current State: 52:[25, 58, 150], Operations: ['55+95=150'] Exploring Operation: 150/25=6, Resulting Numbers: [58, 6] Generated Node #3: [58, 6] from Operation: 150/25=6 Current State: 52:[58, 6], Operations: ['55+95=150', '150/25=6'] Exploring Operation: 58-6=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 46, 89, 49, 9 ]
54
[ "89-46=43", "49-43=6", "9*6=54" ]
Current State: 54:[46, 89, 49, 9], Operations: [] Exploring Operation: 89-46=43, Resulting Numbers: [49, 9, 43] Generated Node #2: [49, 9, 43] from Operation: 89-46=43 Current State: 54:[49, 9, 43], Operations: ['89-46=43'] Exploring Operation: 49-43=6, Resulting Numbers: [9, 6] Generated Node #3: [9, 6] from Operation: 49-43=6 Current State: 54:[9, 6], Operations: ['89-46=43', '49-43=6'] Exploring Operation: 9*6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 84, 98, 46, 93 ]
61
[ "98-84=14", "93-46=47", "14+47=61" ]
Current State: 61:[84, 98, 46, 93], Operations: [] Exploring Operation: 98-84=14, Resulting Numbers: [46, 93, 14] Generated Node #2: [46, 93, 14] from Operation: 98-84=14 Current State: 61:[46, 93, 14], Operations: ['98-84=14'] Exploring Operation: 93-46=47, Resulting Numbers: [14, 47] Generated Node #3: [14, 47] from Operation: 93-46=47 Current State: 61:[14, 47], Operations: ['98-84=14', '93-46=47'] Exploring Operation: 14+47=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 50, 80, 57, 24 ]
42
[ "50*24=1200", "1200/80=15", "57-15=42" ]
Current State: 42:[50, 80, 57, 24], Operations: [] Exploring Operation: 50*24=1200, Resulting Numbers: [80, 57, 1200] Generated Node #2: [80, 57, 1200] from Operation: 50*24=1200 Current State: 42:[80, 57, 1200], Operations: ['50*24=1200'] Exploring Operation: 1200/80=15, Resulting Numbers: [57, 15] Generated Node #3: [57, 15] from Operation: 1200/80=15 Current State: 42:[57, 15], Operations: ['50*24=1200', '1200/80=15'] Exploring Operation: 57-15=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 14, 19, 33, 47 ]
18
[ "14+33=47", "47/47=1", "19-1=18" ]
Current State: 18:[14, 19, 33, 47], Operations: [] Exploring Operation: 14+33=47, Resulting Numbers: [19, 47, 47] Generated Node #2: [19, 47, 47] from Operation: 14+33=47 Current State: 18:[19, 47, 47], Operations: ['14+33=47'] Exploring Operation: 47/47=1, Resulting Numbers: [19, 1] Generated Node #3: [19, 1] from Operation: 47/47=1 Current State: 18:[19, 1], Operations: ['14+33=47', '47/47=1'] Exploring Operation: 19-1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 12, 1, 56, 55 ]
10
[ "12-1=11", "56-55=1", "11-1=10" ]
Current State: 10:[12, 1, 56, 55], Operations: [] Exploring Operation: 12-1=11, Resulting Numbers: [56, 55, 11] Generated Node #2: [56, 55, 11] from Operation: 12-1=11 Current State: 10:[56, 55, 11], Operations: ['12-1=11'] Exploring Operation: 56-55=1, Resulting Numbers: [11, 1] Generated Node #3: [11, 1] from Operation: 56-55=1 Current State: 10:[11, 1], Operations: ['12-1=11', '56-55=1'] Exploring Operation: 11-1=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 84, 45, 55, 66 ]
28
[ "84-45=39", "66-55=11", "39-11=28" ]
Current State: 28:[84, 45, 55, 66], Operations: [] Exploring Operation: 84-45=39, Resulting Numbers: [55, 66, 39] Generated Node #2: [55, 66, 39] from Operation: 84-45=39 Current State: 28:[55, 66, 39], Operations: ['84-45=39'] Exploring Operation: 66-55=11, Resulting Numbers: [39, 11] Generated Node #3: [39, 11] from Operation: 66-55=11 Current State: 28:[39, 11], Operations: ['84-45=39', '66-55=11'] Exploring Operation: 39-11=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 36, 93, 70, 21 ]
38
[ "36+93=129", "70+21=91", "129-91=38" ]
Current State: 38:[36, 93, 70, 21], Operations: [] Exploring Operation: 36+93=129, Resulting Numbers: [70, 21, 129] Generated Node #2: [70, 21, 129] from Operation: 36+93=129 Current State: 38:[70, 21, 129], Operations: ['36+93=129'] Exploring Operation: 70+21=91, Resulting Numbers: [129, 91] Generated Node #3: [129, 91] from Operation: 70+21=91 Current State: 38:[129, 91], Operations: ['36+93=129', '70+21=91'] Exploring Operation: 129-91=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 65, 12, 9, 95 ]
40
[ "95-65=30", "12*30=360", "360/9=40" ]
Current State: 40:[65, 12, 9, 95], Operations: [] Exploring Operation: 95-65=30, Resulting Numbers: [12, 9, 30] Generated Node #2: [12, 9, 30] from Operation: 95-65=30 Current State: 40:[12, 9, 30], Operations: ['95-65=30'] Exploring Operation: 12*30=360, Resulting Numbers: [9, 360] Generated Node #3: [9, 360] from Operation: 12*30=360 Current State: 40:[9, 360], Operations: ['95-65=30', '12*30=360'] Exploring Operation: 360/9=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 23, 35, 52, 48 ]
88
[ "35-23=12", "52+48=100", "100-12=88" ]
Current State: 88:[23, 35, 52, 48], Operations: [] Exploring Operation: 35-23=12, Resulting Numbers: [52, 48, 12] Generated Node #2: [52, 48, 12] from Operation: 35-23=12 Current State: 88:[52, 48, 12], Operations: ['35-23=12'] Exploring Operation: 52+48=100, Resulting Numbers: [12, 100] Generated Node #3: [12, 100] from Operation: 52+48=100 Current State: 88:[12, 100], Operations: ['35-23=12', '52+48=100'] Exploring Operation: 100-12=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 3, 32, 12, 73 ]
23
[ "32+73=105", "105/3=35", "35-12=23" ]
Current State: 23:[3, 32, 12, 73], Operations: [] Exploring Operation: 32+73=105, Resulting Numbers: [3, 12, 105] Generated Node #2: [3, 12, 105] from Operation: 32+73=105 Current State: 23:[3, 12, 105], Operations: ['32+73=105'] Exploring Operation: 105/3=35, Resulting Numbers: [12, 35] Generated Node #3: [12, 35] from Operation: 105/3=35 Current State: 23:[12, 35], Operations: ['32+73=105', '105/3=35'] Exploring Operation: 35-12=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 47, 81, 73, 58 ]
49
[ "81-47=34", "73-58=15", "34+15=49" ]
Current State: 49:[47, 81, 73, 58], Operations: [] Exploring Operation: 81-47=34, Resulting Numbers: [73, 58, 34] Generated Node #2: [73, 58, 34] from Operation: 81-47=34 Current State: 49:[73, 58, 34], Operations: ['81-47=34'] Exploring Operation: 73-58=15, Resulting Numbers: [34, 15] Generated Node #3: [34, 15] from Operation: 73-58=15 Current State: 49:[34, 15], Operations: ['81-47=34', '73-58=15'] Exploring Operation: 34+15=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 17, 6, 19, 95 ]
53
[ "17+6=23", "95-19=76", "76-23=53" ]
Current State: 53:[17, 6, 19, 95], Operations: [] Exploring Operation: 17+6=23, Resulting Numbers: [19, 95, 23] Generated Node #2: [19, 95, 23] from Operation: 17+6=23 Current State: 53:[19, 95, 23], Operations: ['17+6=23'] Exploring Operation: 95-19=76, Resulting Numbers: [23, 76] Generated Node #3: [23, 76] from Operation: 95-19=76 Current State: 53:[23, 76], Operations: ['17+6=23', '95-19=76'] Exploring Operation: 76-23=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 92, 70, 63, 93 ]
52
[ "92-70=22", "93-63=30", "22+30=52" ]
Current State: 52:[92, 70, 63, 93], Operations: [] Exploring Operation: 92-70=22, Resulting Numbers: [63, 93, 22] Generated Node #2: [63, 93, 22] from Operation: 92-70=22 Current State: 52:[63, 93, 22], Operations: ['92-70=22'] Exploring Operation: 93-63=30, Resulting Numbers: [22, 30] Generated Node #3: [22, 30] from Operation: 93-63=30 Current State: 52:[22, 30], Operations: ['92-70=22', '93-63=30'] Exploring Operation: 22+30=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 34, 78, 80, 72 ]
89
[ "80-78=2", "34/2=17", "72+17=89" ]
Current State: 89:[34, 78, 80, 72], Operations: [] Exploring Operation: 80-78=2, Resulting Numbers: [34, 72, 2] Generated Node #2: [34, 72, 2] from Operation: 80-78=2 Current State: 89:[34, 72, 2], Operations: ['80-78=2'] Exploring Operation: 34/2=17, Resulting Numbers: [72, 17] Generated Node #3: [72, 17] from Operation: 34/2=17 Current State: 89:[72, 17], Operations: ['80-78=2', '34/2=17'] Exploring Operation: 72+17=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 21, 63, 78, 36 ]
90
[ "63/21=3", "36/3=12", "78+12=90" ]
Current State: 90:[21, 63, 78, 36], Operations: [] Exploring Operation: 63/21=3, Resulting Numbers: [78, 36, 3] Generated Node #2: [78, 36, 3] from Operation: 63/21=3 Current State: 90:[78, 36, 3], Operations: ['63/21=3'] Exploring Operation: 36/3=12, Resulting Numbers: [78, 12] Generated Node #3: [78, 12] from Operation: 36/3=12 Current State: 90:[78, 12], Operations: ['63/21=3', '36/3=12'] Exploring Operation: 78+12=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 13, 85, 26, 52 ]
34
[ "13+52=65", "85*26=2210", "2210/65=34" ]
Current State: 34:[13, 85, 26, 52], Operations: [] Exploring Operation: 13+52=65, Resulting Numbers: [85, 26, 65] Generated Node #2: [85, 26, 65] from Operation: 13+52=65 Current State: 34:[85, 26, 65], Operations: ['13+52=65'] Exploring Operation: 85*26=2210, Resulting Numbers: [65, 2210] Generated Node #3: [65, 2210] from Operation: 85*26=2210 Current State: 34:[65, 2210], Operations: ['13+52=65', '85*26=2210'] Exploring Operation: 2210/65=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 25, 3, 48, 69 ]
88
[ "69-48=21", "3*21=63", "25+63=88" ]
Current State: 88:[25, 3, 48, 69], Operations: [] Exploring Operation: 69-48=21, Resulting Numbers: [25, 3, 21] Generated Node #2: [25, 3, 21] from Operation: 69-48=21 Current State: 88:[25, 3, 21], Operations: ['69-48=21'] Exploring Operation: 3*21=63, Resulting Numbers: [25, 63] Generated Node #3: [25, 63] from Operation: 3*21=63 Current State: 88:[25, 63], Operations: ['69-48=21', '3*21=63'] Exploring Operation: 25+63=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 72, 3, 7, 90 ]
59
[ "72/3=24", "90-7=83", "83-24=59" ]
Current State: 59:[72, 3, 7, 90], Operations: [] Exploring Operation: 72/3=24, Resulting Numbers: [7, 90, 24] Generated Node #2: [7, 90, 24] from Operation: 72/3=24 Current State: 59:[7, 90, 24], Operations: ['72/3=24'] Exploring Operation: 90-7=83, Resulting Numbers: [24, 83] Generated Node #3: [24, 83] from Operation: 90-7=83 Current State: 59:[24, 83], Operations: ['72/3=24', '90-7=83'] Exploring Operation: 83-24=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 19, 26, 33, 30 ]
32
[ "19+33=52", "52/26=2", "30+2=32" ]
Current State: 32:[19, 26, 33, 30], Operations: [] Exploring Operation: 19+33=52, Resulting Numbers: [26, 30, 52] Generated Node #2: [26, 30, 52] from Operation: 19+33=52 Current State: 32:[26, 30, 52], Operations: ['19+33=52'] Exploring Operation: 52/26=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 52/26=2 Current State: 32:[30, 2], Operations: ['19+33=52', '52/26=2'] Exploring Operation: 30+2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 66, 52, 47, 46 ]
79
[ "66-52=14", "47+46=93", "93-14=79" ]
Current State: 79:[66, 52, 47, 46], Operations: [] Exploring Operation: 66-52=14, Resulting Numbers: [47, 46, 14] Generated Node #2: [47, 46, 14] from Operation: 66-52=14 Current State: 79:[47, 46, 14], Operations: ['66-52=14'] Exploring Operation: 47+46=93, Resulting Numbers: [14, 93] Generated Node #3: [14, 93] from Operation: 47+46=93 Current State: 79:[14, 93], Operations: ['66-52=14', '47+46=93'] Exploring Operation: 93-14=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 92, 74, 39, 29 ]
86
[ "92-74=18", "39+29=68", "18+68=86" ]
Current State: 86:[92, 74, 39, 29], Operations: [] Exploring Operation: 92-74=18, Resulting Numbers: [39, 29, 18] Generated Node #2: [39, 29, 18] from Operation: 92-74=18 Current State: 86:[39, 29, 18], Operations: ['92-74=18'] Exploring Operation: 39+29=68, Resulting Numbers: [18, 68] Generated Node #3: [18, 68] from Operation: 39+29=68 Current State: 86:[18, 68], Operations: ['92-74=18', '39+29=68'] Exploring Operation: 18+68=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 30, 36, 42, 56 ]
28
[ "30+42=72", "36*56=2016", "2016/72=28" ]
Current State: 28:[30, 36, 42, 56], Operations: [] Exploring Operation: 30+42=72, Resulting Numbers: [36, 56, 72] Generated Node #2: [36, 56, 72] from Operation: 30+42=72 Current State: 28:[36, 56, 72], Operations: ['30+42=72'] Exploring Operation: 36*56=2016, Resulting Numbers: [72, 2016] Generated Node #3: [72, 2016] from Operation: 36*56=2016 Current State: 28:[72, 2016], Operations: ['30+42=72', '36*56=2016'] Exploring Operation: 2016/72=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 46, 75, 57, 57 ]
69
[ "57*57=3249", "3249-75=3174", "3174/46=69" ]
Current State: 69:[46, 75, 57, 57], Operations: [] Exploring Operation: 57*57=3249, Resulting Numbers: [46, 75, 3249] Generated Node #2: [46, 75, 3249] from Operation: 57*57=3249 Current State: 69:[46, 75, 3249], Operations: ['57*57=3249'] Exploring Operation: 3249-75=3174, Resulting Numbers: [46, 3174] Generated Node #3: [46, 3174] from Operation: 3249-75=3174 Current State: 69:[46, 3174], Operations: ['57*57=3249', '3249-75=3174'] Exploring Operation: 3174/46=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 87, 48, 15, 36 ]
67
[ "48*15=720", "720/36=20", "87-20=67" ]
Current State: 67:[87, 48, 15, 36], Operations: [] Exploring Operation: 48*15=720, Resulting Numbers: [87, 36, 720] Generated Node #2: [87, 36, 720] from Operation: 48*15=720 Current State: 67:[87, 36, 720], Operations: ['48*15=720'] Exploring Operation: 720/36=20, Resulting Numbers: [87, 20] Generated Node #3: [87, 20] from Operation: 720/36=20 Current State: 67:[87, 20], Operations: ['48*15=720', '720/36=20'] Exploring Operation: 87-20=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 67, 26, 38, 54 ]
18
[ "67-26=41", "41-38=3", "54/3=18" ]
Current State: 18:[67, 26, 38, 54], Operations: [] Exploring Operation: 67-26=41, Resulting Numbers: [38, 54, 41] Generated Node #2: [38, 54, 41] from Operation: 67-26=41 Current State: 18:[38, 54, 41], Operations: ['67-26=41'] Exploring Operation: 41-38=3, Resulting Numbers: [54, 3] Generated Node #3: [54, 3] from Operation: 41-38=3 Current State: 18:[54, 3], Operations: ['67-26=41', '41-38=3'] Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 7, 82, 2, 27 ]
98
[ "82/2=41", "41-27=14", "7*14=98" ]
Current State: 98:[7, 82, 2, 27], Operations: [] Exploring Operation: 82/2=41, Resulting Numbers: [7, 27, 41] Generated Node #2: [7, 27, 41] from Operation: 82/2=41 Current State: 98:[7, 27, 41], Operations: ['82/2=41'] Exploring Operation: 41-27=14, Resulting Numbers: [7, 14] Generated Node #3: [7, 14] from Operation: 41-27=14 Current State: 98:[7, 14], Operations: ['82/2=41', '41-27=14'] Exploring Operation: 7*14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 1, 38, 31, 53 ]
60
[ "1*38=38", "53-31=22", "38+22=60" ]
Current State: 60:[1, 38, 31, 53], Operations: [] Exploring Operation: 1*38=38, Resulting Numbers: [31, 53, 38] Generated Node #2: [31, 53, 38] from Operation: 1*38=38 Current State: 60:[31, 53, 38], Operations: ['1*38=38'] Exploring Operation: 53-31=22, Resulting Numbers: [38, 22] Generated Node #3: [38, 22] from Operation: 53-31=22 Current State: 60:[38, 22], Operations: ['1*38=38', '53-31=22'] Exploring Operation: 38+22=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 48, 73, 48, 13 ]
85
[ "48/48=1", "73+13=86", "86-1=85" ]
Current State: 85:[48, 73, 48, 13], Operations: [] Exploring Operation: 48/48=1, Resulting Numbers: [73, 13, 1] Generated Node #2: [73, 13, 1] from Operation: 48/48=1 Current State: 85:[73, 13, 1], Operations: ['48/48=1'] Exploring Operation: 73+13=86, Resulting Numbers: [1, 86] Generated Node #3: [1, 86] from Operation: 73+13=86 Current State: 85:[1, 86], Operations: ['48/48=1', '73+13=86'] Exploring Operation: 86-1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 9, 28, 75, 82 ]
30
[ "9+28=37", "82-75=7", "37-7=30" ]
Current State: 30:[9, 28, 75, 82], Operations: [] Exploring Operation: 9+28=37, Resulting Numbers: [75, 82, 37] Generated Node #2: [75, 82, 37] from Operation: 9+28=37 Current State: 30:[75, 82, 37], Operations: ['9+28=37'] Exploring Operation: 82-75=7, Resulting Numbers: [37, 7] Generated Node #3: [37, 7] from Operation: 82-75=7 Current State: 30:[37, 7], Operations: ['9+28=37', '82-75=7'] Exploring Operation: 37-7=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 8, 20, 73, 23 ]
97
[ "23-20=3", "8*3=24", "73+24=97" ]
Current State: 97:[8, 20, 73, 23], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [8, 73, 3] Generated Node #2: [8, 73, 3] from Operation: 23-20=3 Current State: 97:[8, 73, 3], Operations: ['23-20=3'] Exploring Operation: 8*3=24, Resulting Numbers: [73, 24] Generated Node #3: [73, 24] from Operation: 8*3=24 Current State: 97:[73, 24], Operations: ['23-20=3', '8*3=24'] Exploring Operation: 73+24=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 87, 93, 89, 14 ]
69
[ "93-87=6", "89-14=75", "75-6=69" ]
Current State: 69:[87, 93, 89, 14], Operations: [] Exploring Operation: 93-87=6, Resulting Numbers: [89, 14, 6] Generated Node #2: [89, 14, 6] from Operation: 93-87=6 Current State: 69:[89, 14, 6], Operations: ['93-87=6'] Exploring Operation: 89-14=75, Resulting Numbers: [6, 75] Generated Node #3: [6, 75] from Operation: 89-14=75 Current State: 69:[6, 75], Operations: ['93-87=6', '89-14=75'] Exploring Operation: 75-6=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 58, 33, 51, 57 ]
85
[ "58+33=91", "57-51=6", "91-6=85" ]
Current State: 85:[58, 33, 51, 57], Operations: [] Exploring Operation: 58+33=91, Resulting Numbers: [51, 57, 91] Generated Node #2: [51, 57, 91] from Operation: 58+33=91 Current State: 85:[51, 57, 91], Operations: ['58+33=91'] Exploring Operation: 57-51=6, Resulting Numbers: [91, 6] Generated Node #3: [91, 6] from Operation: 57-51=6 Current State: 85:[91, 6], Operations: ['58+33=91', '57-51=6'] Exploring Operation: 91-6=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 62, 34, 68, 76 ]
88
[ "62+34=96", "76-68=8", "96-8=88" ]
Current State: 88:[62, 34, 68, 76], Operations: [] Exploring Operation: 62+34=96, Resulting Numbers: [68, 76, 96] Generated Node #2: [68, 76, 96] from Operation: 62+34=96 Current State: 88:[68, 76, 96], Operations: ['62+34=96'] Exploring Operation: 76-68=8, Resulting Numbers: [96, 8] Generated Node #3: [96, 8] from Operation: 76-68=8 Current State: 88:[96, 8], Operations: ['62+34=96', '76-68=8'] Exploring Operation: 96-8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 44, 73, 54, 75 ]
96
[ "44+73=117", "75-54=21", "117-21=96" ]
Current State: 96:[44, 73, 54, 75], Operations: [] Exploring Operation: 44+73=117, Resulting Numbers: [54, 75, 117] Generated Node #2: [54, 75, 117] from Operation: 44+73=117 Current State: 96:[54, 75, 117], Operations: ['44+73=117'] Exploring Operation: 75-54=21, Resulting Numbers: [117, 21] Generated Node #3: [117, 21] from Operation: 75-54=21 Current State: 96:[117, 21], Operations: ['44+73=117', '75-54=21'] Exploring Operation: 117-21=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 14, 74, 72, 31 ]
76
[ "74-72=2", "31*2=62", "14+62=76" ]
Current State: 76:[14, 74, 72, 31], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [14, 31, 2] Generated Node #2: [14, 31, 2] from Operation: 74-72=2 Current State: 76:[14, 31, 2], Operations: ['74-72=2'] Exploring Operation: 31*2=62, Resulting Numbers: [14, 62] Generated Node #3: [14, 62] from Operation: 31*2=62 Current State: 76:[14, 62], Operations: ['74-72=2', '31*2=62'] Exploring Operation: 14+62=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 24, 17, 32, 72 ]
81
[ "24+17=41", "72-32=40", "41+40=81" ]
Current State: 81:[24, 17, 32, 72], Operations: [] Exploring Operation: 24+17=41, Resulting Numbers: [32, 72, 41] Generated Node #2: [32, 72, 41] from Operation: 24+17=41 Current State: 81:[32, 72, 41], Operations: ['24+17=41'] Exploring Operation: 72-32=40, Resulting Numbers: [41, 40] Generated Node #3: [41, 40] from Operation: 72-32=40 Current State: 81:[41, 40], Operations: ['24+17=41', '72-32=40'] Exploring Operation: 41+40=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 18, 5, 67, 90 ]
73
[ "18+67=85", "85/5=17", "90-17=73" ]
Current State: 73:[18, 5, 67, 90], Operations: [] Exploring Operation: 18+67=85, Resulting Numbers: [5, 90, 85] Generated Node #2: [5, 90, 85] from Operation: 18+67=85 Current State: 73:[5, 90, 85], Operations: ['18+67=85'] Exploring Operation: 85/5=17, Resulting Numbers: [90, 17] Generated Node #3: [90, 17] from Operation: 85/5=17 Current State: 73:[90, 17], Operations: ['18+67=85', '85/5=17'] Exploring Operation: 90-17=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 4, 91, 86, 90 ]
82
[ "86-4=82", "91-90=1", "82*1=82" ]
Current State: 82:[4, 91, 86, 90], Operations: [] Exploring Operation: 86-4=82, Resulting Numbers: [91, 90, 82] Generated Node #2: [91, 90, 82] from Operation: 86-4=82 Current State: 82:[91, 90, 82], Operations: ['86-4=82'] Exploring Operation: 91-90=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 91-90=1 Current State: 82:[82, 1], Operations: ['86-4=82', '91-90=1'] Exploring Operation: 82*1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 35, 9, 28, 56 ]
17
[ "35-28=7", "56/7=8", "9+8=17" ]
Current State: 17:[35, 9, 28, 56], Operations: [] Exploring Operation: 35-28=7, Resulting Numbers: [9, 56, 7] Generated Node #2: [9, 56, 7] from Operation: 35-28=7 Current State: 17:[9, 56, 7], Operations: ['35-28=7'] Exploring Operation: 56/7=8, Resulting Numbers: [9, 8] Generated Node #3: [9, 8] from Operation: 56/7=8 Current State: 17:[9, 8], Operations: ['35-28=7', '56/7=8'] Exploring Operation: 9+8=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 56, 5, 81, 81 ]
11
[ "81/81=1", "56-1=55", "55/5=11" ]
Current State: 11:[56, 5, 81, 81], Operations: [] Exploring Operation: 81/81=1, Resulting Numbers: [56, 5, 1] Generated Node #2: [56, 5, 1] from Operation: 81/81=1 Current State: 11:[56, 5, 1], Operations: ['81/81=1'] Exploring Operation: 56-1=55, Resulting Numbers: [5, 55] Generated Node #3: [5, 55] from Operation: 56-1=55 Current State: 11:[5, 55], Operations: ['81/81=1', '56-1=55'] Exploring Operation: 55/5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 57, 44, 6, 38 ]
19
[ "57-44=13", "38-6=32", "32-13=19" ]
Current State: 19:[57, 44, 6, 38], Operations: [] Exploring Operation: 57-44=13, Resulting Numbers: [6, 38, 13] Generated Node #2: [6, 38, 13] from Operation: 57-44=13 Current State: 19:[6, 38, 13], Operations: ['57-44=13'] Exploring Operation: 38-6=32, Resulting Numbers: [13, 32] Generated Node #3: [13, 32] from Operation: 38-6=32 Current State: 19:[13, 32], Operations: ['57-44=13', '38-6=32'] Exploring Operation: 32-13=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 26, 52, 16, 56 ]
14
[ "52-26=26", "56-16=40", "40-26=14" ]
Current State: 14:[26, 52, 16, 56], Operations: [] Exploring Operation: 52-26=26, Resulting Numbers: [16, 56, 26] Generated Node #2: [16, 56, 26] from Operation: 52-26=26 Current State: 14:[16, 56, 26], Operations: ['52-26=26'] Exploring Operation: 56-16=40, Resulting Numbers: [26, 40] Generated Node #3: [26, 40] from Operation: 56-16=40 Current State: 14:[26, 40], Operations: ['52-26=26', '56-16=40'] Exploring Operation: 40-26=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 12, 6, 15, 12 ]
30
[ "12-6=6", "15*12=180", "180/6=30" ]
Current State: 30:[12, 6, 15, 12], Operations: [] Exploring Operation: 12-6=6, Resulting Numbers: [15, 6] Generated Node #2: [15, 6] from Operation: 12-6=6 Current State: 30:[15, 6], Operations: ['12-6=6'] Exploring Operation: 15*12=180, Resulting Numbers: [6, 180] Generated Node #3: [6, 180] from Operation: 15*12=180 Current State: 30:[6, 180], Operations: ['12-6=6', '15*12=180'] Exploring Operation: 180/6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 33, 72, 36, 39 ]
60
[ "33*72=2376", "2376-36=2340", "2340/39=60" ]
Current State: 60:[33, 72, 36, 39], Operations: [] Exploring Operation: 33*72=2376, Resulting Numbers: [36, 39, 2376] Generated Node #2: [36, 39, 2376] from Operation: 33*72=2376 Current State: 60:[36, 39, 2376], Operations: ['33*72=2376'] Exploring Operation: 2376-36=2340, Resulting Numbers: [39, 2340] Generated Node #3: [39, 2340] from Operation: 2376-36=2340 Current State: 60:[39, 2340], Operations: ['33*72=2376', '2376-36=2340'] Exploring Operation: 2340/39=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 56, 42, 2, 20 ]
97
[ "56+20=76", "42/2=21", "76+21=97" ]
Current State: 97:[56, 42, 2, 20], Operations: [] Exploring Operation: 56+20=76, Resulting Numbers: [42, 2, 76] Generated Node #2: [42, 2, 76] from Operation: 56+20=76 Current State: 97:[42, 2, 76], Operations: ['56+20=76'] Exploring Operation: 42/2=21, Resulting Numbers: [76, 21] Generated Node #3: [76, 21] from Operation: 42/2=21 Current State: 97:[76, 21], Operations: ['56+20=76', '42/2=21'] Exploring Operation: 76+21=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 2, 41, 16, 61 ]
97
[ "2*61=122", "41-16=25", "122-25=97" ]
Current State: 97:[2, 41, 16, 61], Operations: [] Exploring Operation: 2*61=122, Resulting Numbers: [41, 16, 122] Generated Node #2: [41, 16, 122] from Operation: 2*61=122 Current State: 97:[41, 16, 122], Operations: ['2*61=122'] Exploring Operation: 41-16=25, Resulting Numbers: [122, 25] Generated Node #3: [122, 25] from Operation: 41-16=25 Current State: 97:[122, 25], Operations: ['2*61=122', '41-16=25'] Exploring Operation: 122-25=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 9, 80, 60, 80 ]
69
[ "9+80=89", "80-60=20", "89-20=69" ]
Current State: 69:[9, 80, 60, 80], Operations: [] Exploring Operation: 9+80=89, Resulting Numbers: [60, 89] Generated Node #2: [60, 89] from Operation: 9+80=89 Current State: 69:[60, 89], Operations: ['9+80=89'] Exploring Operation: 80-60=20, Resulting Numbers: [89, 20] Generated Node #3: [89, 20] from Operation: 80-60=20 Current State: 69:[89, 20], Operations: ['9+80=89', '80-60=20'] Exploring Operation: 89-20=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 53, 30, 61, 58 ]
36
[ "53+30=83", "61+58=119", "119-83=36" ]
Current State: 36:[53, 30, 61, 58], Operations: [] Exploring Operation: 53+30=83, Resulting Numbers: [61, 58, 83] Generated Node #2: [61, 58, 83] from Operation: 53+30=83 Current State: 36:[61, 58, 83], Operations: ['53+30=83'] Exploring Operation: 61+58=119, Resulting Numbers: [83, 119] Generated Node #3: [83, 119] from Operation: 61+58=119 Current State: 36:[83, 119], Operations: ['53+30=83', '61+58=119'] Exploring Operation: 119-83=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 97, 52, 9, 39 ]
66
[ "97-9=88", "39*88=3432", "3432/52=66" ]
Current State: 66:[97, 52, 9, 39], Operations: [] Exploring Operation: 97-9=88, Resulting Numbers: [52, 39, 88] Generated Node #2: [52, 39, 88] from Operation: 97-9=88 Current State: 66:[52, 39, 88], Operations: ['97-9=88'] Exploring Operation: 39*88=3432, Resulting Numbers: [52, 3432] Generated Node #3: [52, 3432] from Operation: 39*88=3432 Current State: 66:[52, 3432], Operations: ['97-9=88', '39*88=3432'] Exploring Operation: 3432/52=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 57, 31, 18, 4 ]
11
[ "57-31=26", "18+26=44", "44/4=11" ]
Current State: 11:[57, 31, 18, 4], Operations: [] Exploring Operation: 57-31=26, Resulting Numbers: [18, 4, 26] Generated Node #2: [18, 4, 26] from Operation: 57-31=26 Current State: 11:[18, 4, 26], Operations: ['57-31=26'] Exploring Operation: 18+26=44, Resulting Numbers: [4, 44] Generated Node #3: [4, 44] from Operation: 18+26=44 Current State: 11:[4, 44], Operations: ['57-31=26', '18+26=44'] Exploring Operation: 44/4=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 5, 21, 80, 93 ]
56
[ "80/5=16", "93-21=72", "72-16=56" ]
Current State: 56:[5, 21, 80, 93], Operations: [] Exploring Operation: 80/5=16, Resulting Numbers: [21, 93, 16] Generated Node #2: [21, 93, 16] from Operation: 80/5=16 Current State: 56:[21, 93, 16], Operations: ['80/5=16'] Exploring Operation: 93-21=72, Resulting Numbers: [16, 72] Generated Node #3: [16, 72] from Operation: 93-21=72 Current State: 56:[16, 72], Operations: ['80/5=16', '93-21=72'] Exploring Operation: 72-16=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 70, 60, 49, 57 ]
96
[ "70-60=10", "49+57=106", "106-10=96" ]
Current State: 96:[70, 60, 49, 57], Operations: [] Exploring Operation: 70-60=10, Resulting Numbers: [49, 57, 10] Generated Node #2: [49, 57, 10] from Operation: 70-60=10 Current State: 96:[49, 57, 10], Operations: ['70-60=10'] Exploring Operation: 49+57=106, Resulting Numbers: [10, 106] Generated Node #3: [10, 106] from Operation: 49+57=106 Current State: 96:[10, 106], Operations: ['70-60=10', '49+57=106'] Exploring Operation: 106-10=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 92, 35, 81, 38 ]
76
[ "92*38=3496", "81-35=46", "3496/46=76" ]
Current State: 76:[92, 35, 81, 38], Operations: [] Exploring Operation: 92*38=3496, Resulting Numbers: [35, 81, 3496] Generated Node #2: [35, 81, 3496] from Operation: 92*38=3496 Current State: 76:[35, 81, 3496], Operations: ['92*38=3496'] Exploring Operation: 81-35=46, Resulting Numbers: [3496, 46] Generated Node #3: [3496, 46] from Operation: 81-35=46 Current State: 76:[3496, 46], Operations: ['92*38=3496', '81-35=46'] Exploring Operation: 3496/46=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 5, 8, 95, 39 ]
35
[ "95-39=56", "5*56=280", "280/8=35" ]
Current State: 35:[5, 8, 95, 39], Operations: [] Exploring Operation: 95-39=56, Resulting Numbers: [5, 8, 56] Generated Node #2: [5, 8, 56] from Operation: 95-39=56 Current State: 35:[5, 8, 56], Operations: ['95-39=56'] Exploring Operation: 5*56=280, Resulting Numbers: [8, 280] Generated Node #3: [8, 280] from Operation: 5*56=280 Current State: 35:[8, 280], Operations: ['95-39=56', '5*56=280'] Exploring Operation: 280/8=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 1, 13, 1, 98 ]
85
[ "1+13=14", "1+98=99", "99-14=85" ]
Current State: 85:[1, 13, 1, 98], Operations: [] Exploring Operation: 1+13=14, Resulting Numbers: [98, 14] Generated Node #2: [98, 14] from Operation: 1+13=14 Current State: 85:[98, 14], Operations: ['1+13=14'] Exploring Operation: 1+98=99, Resulting Numbers: [14, 99] Generated Node #3: [14, 99] from Operation: 1+98=99 Current State: 85:[14, 99], Operations: ['1+13=14', '1+98=99'] Exploring Operation: 99-14=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 84, 84, 1, 69 ]
98
[ "84+84=168", "1+69=70", "168-70=98" ]
Current State: 98:[84, 84, 1, 69], Operations: [] Exploring Operation: 84+84=168, Resulting Numbers: [1, 69, 168] Generated Node #2: [1, 69, 168] from Operation: 84+84=168 Current State: 98:[1, 69, 168], Operations: ['84+84=168'] Exploring Operation: 1+69=70, Resulting Numbers: [168, 70] Generated Node #3: [168, 70] from Operation: 1+69=70 Current State: 98:[168, 70], Operations: ['84+84=168', '1+69=70'] Exploring Operation: 168-70=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 5, 86, 95, 50 ]
36
[ "86-5=81", "95-50=45", "81-45=36" ]
Current State: 36:[5, 86, 95, 50], Operations: [] Exploring Operation: 86-5=81, Resulting Numbers: [95, 50, 81] Generated Node #2: [95, 50, 81] from Operation: 86-5=81 Current State: 36:[95, 50, 81], Operations: ['86-5=81'] Exploring Operation: 95-50=45, Resulting Numbers: [81, 45] Generated Node #3: [81, 45] from Operation: 95-50=45 Current State: 36:[81, 45], Operations: ['86-5=81', '95-50=45'] Exploring Operation: 81-45=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 4, 99, 60, 24 ]
11
[ "4*99=396", "60-24=36", "396/36=11" ]
Current State: 11:[4, 99, 60, 24], Operations: [] Exploring Operation: 4*99=396, Resulting Numbers: [60, 24, 396] Generated Node #2: [60, 24, 396] from Operation: 4*99=396 Current State: 11:[60, 24, 396], Operations: ['4*99=396'] Exploring Operation: 60-24=36, Resulting Numbers: [396, 36] Generated Node #3: [396, 36] from Operation: 60-24=36 Current State: 11:[396, 36], Operations: ['4*99=396', '60-24=36'] Exploring Operation: 396/36=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 77, 91, 9, 97 ]
80
[ "77+91=168", "97-9=88", "168-88=80" ]
Current State: 80:[77, 91, 9, 97], Operations: [] Exploring Operation: 77+91=168, Resulting Numbers: [9, 97, 168] Generated Node #2: [9, 97, 168] from Operation: 77+91=168 Current State: 80:[9, 97, 168], Operations: ['77+91=168'] Exploring Operation: 97-9=88, Resulting Numbers: [168, 88] Generated Node #3: [168, 88] from Operation: 97-9=88 Current State: 80:[168, 88], Operations: ['77+91=168', '97-9=88'] Exploring Operation: 168-88=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 9, 46, 16, 1 ]
53
[ "46-9=37", "16*1=16", "37+16=53" ]
Current State: 53:[9, 46, 16, 1], Operations: [] Exploring Operation: 46-9=37, Resulting Numbers: [16, 1, 37] Generated Node #2: [16, 1, 37] from Operation: 46-9=37 Current State: 53:[16, 1, 37], Operations: ['46-9=37'] Exploring Operation: 16*1=16, Resulting Numbers: [37, 16] Generated Node #3: [37, 16] from Operation: 16*1=16 Current State: 53:[37, 16], Operations: ['46-9=37', '16*1=16'] Exploring Operation: 37+16=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 93, 57, 34, 25 ]
95
[ "93-57=36", "34+25=59", "36+59=95" ]
Current State: 95:[93, 57, 34, 25], Operations: [] Exploring Operation: 93-57=36, Resulting Numbers: [34, 25, 36] Generated Node #2: [34, 25, 36] from Operation: 93-57=36 Current State: 95:[34, 25, 36], Operations: ['93-57=36'] Exploring Operation: 34+25=59, Resulting Numbers: [36, 59] Generated Node #3: [36, 59] from Operation: 34+25=59 Current State: 95:[36, 59], Operations: ['93-57=36', '34+25=59'] Exploring Operation: 36+59=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 13, 6, 47, 24 ]
60
[ "47-13=34", "34-24=10", "6*10=60" ]
Current State: 60:[13, 6, 47, 24], Operations: [] Exploring Operation: 47-13=34, Resulting Numbers: [6, 24, 34] Generated Node #2: [6, 24, 34] from Operation: 47-13=34 Current State: 60:[6, 24, 34], Operations: ['47-13=34'] Exploring Operation: 34-24=10, Resulting Numbers: [6, 10] Generated Node #3: [6, 10] from Operation: 34-24=10 Current State: 60:[6, 10], Operations: ['47-13=34', '34-24=10'] Exploring Operation: 6*10=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 33, 31, 34, 48 ]
50
[ "33+31=64", "48-34=14", "64-14=50" ]
Current State: 50:[33, 31, 34, 48], Operations: [] Exploring Operation: 33+31=64, Resulting Numbers: [34, 48, 64] Generated Node #2: [34, 48, 64] from Operation: 33+31=64 Current State: 50:[34, 48, 64], Operations: ['33+31=64'] Exploring Operation: 48-34=14, Resulting Numbers: [64, 14] Generated Node #3: [64, 14] from Operation: 48-34=14 Current State: 50:[64, 14], Operations: ['33+31=64', '48-34=14'] Exploring Operation: 64-14=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 83, 38, 93, 13 ]
92
[ "93-83=10", "13*10=130", "130-38=92" ]
Current State: 92:[83, 38, 93, 13], Operations: [] Exploring Operation: 93-83=10, Resulting Numbers: [38, 13, 10] Generated Node #2: [38, 13, 10] from Operation: 93-83=10 Current State: 92:[38, 13, 10], Operations: ['93-83=10'] Exploring Operation: 13*10=130, Resulting Numbers: [38, 130] Generated Node #3: [38, 130] from Operation: 13*10=130 Current State: 92:[38, 130], Operations: ['93-83=10', '13*10=130'] Exploring Operation: 130-38=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 7, 76, 19, 35 ]
92
[ "7*19=133", "76-35=41", "133-41=92" ]
Current State: 92:[7, 76, 19, 35], Operations: [] Exploring Operation: 7*19=133, Resulting Numbers: [76, 35, 133] Generated Node #2: [76, 35, 133] from Operation: 7*19=133 Current State: 92:[76, 35, 133], Operations: ['7*19=133'] Exploring Operation: 76-35=41, Resulting Numbers: [133, 41] Generated Node #3: [133, 41] from Operation: 76-35=41 Current State: 92:[133, 41], Operations: ['7*19=133', '76-35=41'] Exploring Operation: 133-41=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 25, 65, 62, 20 ]
85
[ "65-62=3", "20*3=60", "25+60=85" ]
Current State: 85:[25, 65, 62, 20], Operations: [] Exploring Operation: 65-62=3, Resulting Numbers: [25, 20, 3] Generated Node #2: [25, 20, 3] from Operation: 65-62=3 Current State: 85:[25, 20, 3], Operations: ['65-62=3'] Exploring Operation: 20*3=60, Resulting Numbers: [25, 60] Generated Node #3: [25, 60] from Operation: 20*3=60 Current State: 85:[25, 60], Operations: ['65-62=3', '20*3=60'] Exploring Operation: 25+60=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 71, 7, 32, 24 ]
86
[ "71+7=78", "32-24=8", "78+8=86" ]
Current State: 86:[71, 7, 32, 24], Operations: [] Exploring Operation: 71+7=78, Resulting Numbers: [32, 24, 78] Generated Node #2: [32, 24, 78] from Operation: 71+7=78 Current State: 86:[32, 24, 78], Operations: ['71+7=78'] Exploring Operation: 32-24=8, Resulting Numbers: [78, 8] Generated Node #3: [78, 8] from Operation: 32-24=8 Current State: 86:[78, 8], Operations: ['71+7=78', '32-24=8'] Exploring Operation: 78+8=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 62, 10, 72, 79 ]
21
[ "72-62=10", "10*10=100", "100-79=21" ]
Current State: 21:[62, 10, 72, 79], Operations: [] Exploring Operation: 72-62=10, Resulting Numbers: [10, 79, 10] Generated Node #2: [10, 79, 10] from Operation: 72-62=10 Current State: 21:[10, 79, 10], Operations: ['72-62=10'] Exploring Operation: 10*10=100, Resulting Numbers: [79, 100] Generated Node #3: [79, 100] from Operation: 10*10=100 Current State: 21:[79, 100], Operations: ['72-62=10', '10*10=100'] Exploring Operation: 100-79=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 61, 17, 20, 17 ]
75
[ "61+17=78", "20-17=3", "78-3=75" ]
Current State: 75:[61, 17, 20, 17], Operations: [] Exploring Operation: 61+17=78, Resulting Numbers: [20, 78] Generated Node #2: [20, 78] from Operation: 61+17=78 Current State: 75:[20, 78], Operations: ['61+17=78'] Exploring Operation: 20-17=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 20-17=3 Current State: 75:[78, 3], Operations: ['61+17=78', '20-17=3'] Exploring Operation: 78-3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 76, 67, 85, 94 ]
92
[ "67+85=152", "152/76=2", "94-2=92" ]
Current State: 92:[76, 67, 85, 94], Operations: [] Exploring Operation: 67+85=152, Resulting Numbers: [76, 94, 152] Generated Node #2: [76, 94, 152] from Operation: 67+85=152 Current State: 92:[76, 94, 152], Operations: ['67+85=152'] Exploring Operation: 152/76=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 152/76=2 Current State: 92:[94, 2], Operations: ['67+85=152', '152/76=2'] Exploring Operation: 94-2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 40, 6, 75, 96 ]
67
[ "40+6=46", "96-75=21", "46+21=67" ]
Current State: 67:[40, 6, 75, 96], Operations: [] Exploring Operation: 40+6=46, Resulting Numbers: [75, 96, 46] Generated Node #2: [75, 96, 46] from Operation: 40+6=46 Current State: 67:[75, 96, 46], Operations: ['40+6=46'] Exploring Operation: 96-75=21, Resulting Numbers: [46, 21] Generated Node #3: [46, 21] from Operation: 96-75=21 Current State: 67:[46, 21], Operations: ['40+6=46', '96-75=21'] Exploring Operation: 46+21=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 10, 25, 36, 65 ]
66
[ "10+25=35", "36+65=101", "101-35=66" ]
Current State: 66:[10, 25, 36, 65], Operations: [] Exploring Operation: 10+25=35, Resulting Numbers: [36, 65, 35] Generated Node #2: [36, 65, 35] from Operation: 10+25=35 Current State: 66:[36, 65, 35], Operations: ['10+25=35'] Exploring Operation: 36+65=101, Resulting Numbers: [35, 101] Generated Node #3: [35, 101] from Operation: 36+65=101 Current State: 66:[35, 101], Operations: ['10+25=35', '36+65=101'] Exploring Operation: 101-35=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 66, 41, 60, 98 ]
58
[ "66*60=3960", "41*98=4018", "4018-3960=58" ]
Current State: 58:[66, 41, 60, 98], Operations: [] Exploring Operation: 66*60=3960, Resulting Numbers: [41, 98, 3960] Generated Node #2: [41, 98, 3960] from Operation: 66*60=3960 Current State: 58:[41, 98, 3960], Operations: ['66*60=3960'] Exploring Operation: 41*98=4018, Resulting Numbers: [3960, 4018] Generated Node #3: [3960, 4018] from Operation: 41*98=4018 Current State: 58:[3960, 4018], Operations: ['66*60=3960', '41*98=4018'] Exploring Operation: 4018-3960=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4