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
[ 64, 61, 61, 98 ]
98
[ "61-61=0", "64*0=0", "98+0=98" ]
Current State: 98:[64, 61, 61, 98], Operations: [] Exploring Operation: 61-61=0, Resulting Numbers: [64, 98, 0] Generated Node #2: [64, 98, 0] from Operation: 61-61=0 Current State: 98:[64, 98, 0], Operations: ['61-61=0'] Exploring Operation: 64*0=0, Resulting Numbers: [98, 0] Generated Node #3: [98, 0] from Operation: 64*0=0 Current State: 98:[98, 0], Operations: ['61-61=0', '64*0=0'] Exploring Operation: 98+0=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 16, 32, 46, 24 ]
26
[ "16+32=48", "46-24=22", "48-22=26" ]
Current State: 26:[16, 32, 46, 24], Operations: [] Exploring Operation: 16+32=48, Resulting Numbers: [46, 24, 48] Generated Node #2: [46, 24, 48] from Operation: 16+32=48 Current State: 26:[46, 24, 48], Operations: ['16+32=48'] Exploring Operation: 46-24=22, Resulting Numbers: [48, 22] Generated Node #3: [48, 22] from Operation: 46-24=22 Current State: 26:[48, 22], Operations: ['16+32=48', '46-24=22'] Exploring Operation: 48-22=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 90, 98, 53, 84 ]
39
[ "98-90=8", "84-53=31", "8+31=39" ]
Current State: 39:[90, 98, 53, 84], Operations: [] Exploring Operation: 98-90=8, Resulting Numbers: [53, 84, 8] Generated Node #2: [53, 84, 8] from Operation: 98-90=8 Current State: 39:[53, 84, 8], Operations: ['98-90=8'] Exploring Operation: 84-53=31, Resulting Numbers: [8, 31] Generated Node #3: [8, 31] from Operation: 84-53=31 Current State: 39:[8, 31], Operations: ['98-90=8', '84-53=31'] Exploring Operation: 8+31=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 44, 90, 89, 39 ]
83
[ "44+39=83", "90-89=1", "83*1=83" ]
Current State: 83:[44, 90, 89, 39], Operations: [] Exploring Operation: 44+39=83, Resulting Numbers: [90, 89, 83] Generated Node #2: [90, 89, 83] from Operation: 44+39=83 Current State: 83:[90, 89, 83], Operations: ['44+39=83'] Exploring Operation: 90-89=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 90-89=1 Current State: 83:[83, 1], Operations: ['44+39=83', '90-89=1'] Exploring Operation: 83*1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 32, 20, 28, 39 ]
76
[ "32-28=4", "39-20=19", "4*19=76" ]
Current State: 76:[32, 20, 28, 39], Operations: [] Exploring Operation: 32-28=4, Resulting Numbers: [20, 39, 4] Generated Node #2: [20, 39, 4] from Operation: 32-28=4 Current State: 76:[20, 39, 4], Operations: ['32-28=4'] Exploring Operation: 39-20=19, Resulting Numbers: [4, 19] Generated Node #3: [4, 19] from Operation: 39-20=19 Current State: 76:[4, 19], Operations: ['32-28=4', '39-20=19'] Exploring Operation: 4*19=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 29, 20, 73, 39 ]
75
[ "39-29=10", "20/10=2", "73+2=75" ]
Current State: 75:[29, 20, 73, 39], Operations: [] Exploring Operation: 39-29=10, Resulting Numbers: [20, 73, 10] Generated Node #2: [20, 73, 10] from Operation: 39-29=10 Current State: 75:[20, 73, 10], Operations: ['39-29=10'] Exploring Operation: 20/10=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 20/10=2 Current State: 75:[73, 2], Operations: ['39-29=10', '20/10=2'] Exploring Operation: 73+2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 2, 70, 60, 5 ]
28
[ "70+60=130", "130/5=26", "2+26=28" ]
Current State: 28:[2, 70, 60, 5], Operations: [] Exploring Operation: 70+60=130, Resulting Numbers: [2, 5, 130] Generated Node #2: [2, 5, 130] from Operation: 70+60=130 Current State: 28:[2, 5, 130], Operations: ['70+60=130'] Exploring Operation: 130/5=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 130/5=26 Current State: 28:[2, 26], Operations: ['70+60=130', '130/5=26'] Exploring Operation: 2+26=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 3, 63, 62, 75 ]
66
[ "75-63=12", "12/3=4", "62+4=66" ]
Current State: 66:[3, 63, 62, 75], Operations: [] Exploring Operation: 75-63=12, Resulting Numbers: [3, 62, 12] Generated Node #2: [3, 62, 12] from Operation: 75-63=12 Current State: 66:[3, 62, 12], Operations: ['75-63=12'] Exploring Operation: 12/3=4, Resulting Numbers: [62, 4] Generated Node #3: [62, 4] from Operation: 12/3=4 Current State: 66:[62, 4], Operations: ['75-63=12', '12/3=4'] Exploring Operation: 62+4=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 62, 96, 13, 91 ]
27
[ "96-62=34", "91/13=7", "34-7=27" ]
Current State: 27:[62, 96, 13, 91], Operations: [] Exploring Operation: 96-62=34, Resulting Numbers: [13, 91, 34] Generated Node #2: [13, 91, 34] from Operation: 96-62=34 Current State: 27:[13, 91, 34], Operations: ['96-62=34'] Exploring Operation: 91/13=7, Resulting Numbers: [34, 7] Generated Node #3: [34, 7] from Operation: 91/13=7 Current State: 27:[34, 7], Operations: ['96-62=34', '91/13=7'] Exploring Operation: 34-7=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 23, 16, 2, 54 ]
84
[ "23*2=46", "54-16=38", "46+38=84" ]
Current State: 84:[23, 16, 2, 54], Operations: [] Exploring Operation: 23*2=46, Resulting Numbers: [16, 54, 46] Generated Node #2: [16, 54, 46] from Operation: 23*2=46 Current State: 84:[16, 54, 46], Operations: ['23*2=46'] Exploring Operation: 54-16=38, Resulting Numbers: [46, 38] Generated Node #3: [46, 38] from Operation: 54-16=38 Current State: 84:[46, 38], Operations: ['23*2=46', '54-16=38'] Exploring Operation: 46+38=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 57, 18, 26, 35 ]
59
[ "35-26=9", "18/9=2", "57+2=59" ]
Current State: 59:[57, 18, 26, 35], Operations: [] Exploring Operation: 35-26=9, Resulting Numbers: [57, 18, 9] Generated Node #2: [57, 18, 9] from Operation: 35-26=9 Current State: 59:[57, 18, 9], Operations: ['35-26=9'] Exploring Operation: 18/9=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 18/9=2 Current State: 59:[57, 2], Operations: ['35-26=9', '18/9=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 56, 80, 20, 18 ]
62
[ "80-56=24", "20+18=38", "24+38=62" ]
Current State: 62:[56, 80, 20, 18], Operations: [] Exploring Operation: 80-56=24, Resulting Numbers: [20, 18, 24] Generated Node #2: [20, 18, 24] from Operation: 80-56=24 Current State: 62:[20, 18, 24], Operations: ['80-56=24'] Exploring Operation: 20+18=38, Resulting Numbers: [24, 38] Generated Node #3: [24, 38] from Operation: 20+18=38 Current State: 62:[24, 38], Operations: ['80-56=24', '20+18=38'] Exploring Operation: 24+38=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 72, 62, 76, 34 ]
64
[ "72-34=38", "76/38=2", "62+2=64" ]
Current State: 64:[72, 62, 76, 34], Operations: [] Exploring Operation: 72-34=38, Resulting Numbers: [62, 76, 38] Generated Node #2: [62, 76, 38] from Operation: 72-34=38 Current State: 64:[62, 76, 38], Operations: ['72-34=38'] Exploring Operation: 76/38=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 76/38=2 Current State: 64:[62, 2], Operations: ['72-34=38', '76/38=2'] Exploring Operation: 62+2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 38, 15, 59, 3 ]
16
[ "59-38=21", "15/3=5", "21-5=16" ]
Current State: 16:[38, 15, 59, 3], Operations: [] Exploring Operation: 59-38=21, Resulting Numbers: [15, 3, 21] Generated Node #2: [15, 3, 21] from Operation: 59-38=21 Current State: 16:[15, 3, 21], Operations: ['59-38=21'] Exploring Operation: 15/3=5, Resulting Numbers: [21, 5] Generated Node #3: [21, 5] from Operation: 15/3=5 Current State: 16:[21, 5], Operations: ['59-38=21', '15/3=5'] Exploring Operation: 21-5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 40, 44, 6, 58 ]
60
[ "44-40=4", "6+58=64", "64-4=60" ]
Current State: 60:[40, 44, 6, 58], Operations: [] Exploring Operation: 44-40=4, Resulting Numbers: [6, 58, 4] Generated Node #2: [6, 58, 4] from Operation: 44-40=4 Current State: 60:[6, 58, 4], Operations: ['44-40=4'] Exploring Operation: 6+58=64, Resulting Numbers: [4, 64] Generated Node #3: [4, 64] from Operation: 6+58=64 Current State: 60:[4, 64], Operations: ['44-40=4', '6+58=64'] Exploring Operation: 64-4=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 99, 17, 78, 15 ]
63
[ "78*15=1170", "1170-99=1071", "1071/17=63" ]
Current State: 63:[99, 17, 78, 15], Operations: [] Exploring Operation: 78*15=1170, Resulting Numbers: [99, 17, 1170] Generated Node #2: [99, 17, 1170] from Operation: 78*15=1170 Current State: 63:[99, 17, 1170], Operations: ['78*15=1170'] Exploring Operation: 1170-99=1071, Resulting Numbers: [17, 1071] Generated Node #3: [17, 1071] from Operation: 1170-99=1071 Current State: 63:[17, 1071], Operations: ['78*15=1170', '1170-99=1071'] Exploring Operation: 1071/17=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 41, 47, 83, 28 ]
33
[ "41+47=88", "83-28=55", "88-55=33" ]
Current State: 33:[41, 47, 83, 28], Operations: [] Exploring Operation: 41+47=88, Resulting Numbers: [83, 28, 88] Generated Node #2: [83, 28, 88] from Operation: 41+47=88 Current State: 33:[83, 28, 88], Operations: ['41+47=88'] Exploring Operation: 83-28=55, Resulting Numbers: [88, 55] Generated Node #3: [88, 55] from Operation: 83-28=55 Current State: 33:[88, 55], Operations: ['41+47=88', '83-28=55'] Exploring Operation: 88-55=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 56, 79, 19, 77 ]
74
[ "56-19=37", "79-77=2", "37*2=74" ]
Current State: 74:[56, 79, 19, 77], Operations: [] Exploring Operation: 56-19=37, Resulting Numbers: [79, 77, 37] Generated Node #2: [79, 77, 37] from Operation: 56-19=37 Current State: 74:[79, 77, 37], Operations: ['56-19=37'] Exploring Operation: 79-77=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 79-77=2 Current State: 74:[37, 2], Operations: ['56-19=37', '79-77=2'] Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 73, 13, 8, 42 ]
10
[ "73-13=60", "8+42=50", "60-50=10" ]
Current State: 10:[73, 13, 8, 42], Operations: [] Exploring Operation: 73-13=60, Resulting Numbers: [8, 42, 60] Generated Node #2: [8, 42, 60] from Operation: 73-13=60 Current State: 10:[8, 42, 60], Operations: ['73-13=60'] Exploring Operation: 8+42=50, Resulting Numbers: [60, 50] Generated Node #3: [60, 50] from Operation: 8+42=50 Current State: 10:[60, 50], Operations: ['73-13=60', '8+42=50'] Exploring Operation: 60-50=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 52, 41, 1, 99 ]
89
[ "52-41=11", "1+99=100", "100-11=89" ]
Current State: 89:[52, 41, 1, 99], Operations: [] Exploring Operation: 52-41=11, Resulting Numbers: [1, 99, 11] Generated Node #2: [1, 99, 11] from Operation: 52-41=11 Current State: 89:[1, 99, 11], Operations: ['52-41=11'] Exploring Operation: 1+99=100, Resulting Numbers: [11, 100] Generated Node #3: [11, 100] from Operation: 1+99=100 Current State: 89:[11, 100], Operations: ['52-41=11', '1+99=100'] Exploring Operation: 100-11=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 80, 10, 34, 4 ]
60
[ "80+10=90", "34-4=30", "90-30=60" ]
Current State: 60:[80, 10, 34, 4], Operations: [] Exploring Operation: 80+10=90, Resulting Numbers: [34, 4, 90] Generated Node #2: [34, 4, 90] from Operation: 80+10=90 Current State: 60:[34, 4, 90], Operations: ['80+10=90'] Exploring Operation: 34-4=30, Resulting Numbers: [90, 30] Generated Node #3: [90, 30] from Operation: 34-4=30 Current State: 60:[90, 30], Operations: ['80+10=90', '34-4=30'] Exploring Operation: 90-30=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 44, 93, 31, 1 ]
40
[ "44-1=43", "93/31=3", "43-3=40" ]
Current State: 40:[44, 93, 31, 1], Operations: [] Exploring Operation: 44-1=43, Resulting Numbers: [93, 31, 43] Generated Node #2: [93, 31, 43] from Operation: 44-1=43 Current State: 40:[93, 31, 43], Operations: ['44-1=43'] Exploring Operation: 93/31=3, Resulting Numbers: [43, 3] Generated Node #3: [43, 3] from Operation: 93/31=3 Current State: 40:[43, 3], Operations: ['44-1=43', '93/31=3'] Exploring Operation: 43-3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 83, 69, 84, 25 ]
93
[ "83+69=152", "84-25=59", "152-59=93" ]
Current State: 93:[83, 69, 84, 25], Operations: [] Exploring Operation: 83+69=152, Resulting Numbers: [84, 25, 152] Generated Node #2: [84, 25, 152] from Operation: 83+69=152 Current State: 93:[84, 25, 152], Operations: ['83+69=152'] Exploring Operation: 84-25=59, Resulting Numbers: [152, 59] Generated Node #3: [152, 59] from Operation: 84-25=59 Current State: 93:[152, 59], Operations: ['83+69=152', '84-25=59'] Exploring Operation: 152-59=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 62, 30, 70, 5 ]
82
[ "30+70=100", "100/5=20", "62+20=82" ]
Current State: 82:[62, 30, 70, 5], Operations: [] Exploring Operation: 30+70=100, Resulting Numbers: [62, 5, 100] Generated Node #2: [62, 5, 100] from Operation: 30+70=100 Current State: 82:[62, 5, 100], Operations: ['30+70=100'] Exploring Operation: 100/5=20, Resulting Numbers: [62, 20] Generated Node #3: [62, 20] from Operation: 100/5=20 Current State: 82:[62, 20], Operations: ['30+70=100', '100/5=20'] Exploring Operation: 62+20=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 63, 58, 10, 21 ]
19
[ "63-58=5", "10/5=2", "21-2=19" ]
Current State: 19:[63, 58, 10, 21], Operations: [] Exploring Operation: 63-58=5, Resulting Numbers: [10, 21, 5] Generated Node #2: [10, 21, 5] from Operation: 63-58=5 Current State: 19:[10, 21, 5], Operations: ['63-58=5'] Exploring Operation: 10/5=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 10/5=2 Current State: 19:[21, 2], Operations: ['63-58=5', '10/5=2'] Exploring Operation: 21-2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 4, 77, 40, 54 ]
28
[ "40*54=2160", "2160-4=2156", "2156/77=28" ]
Current State: 28:[4, 77, 40, 54], Operations: [] Exploring Operation: 40*54=2160, Resulting Numbers: [4, 77, 2160] Generated Node #2: [4, 77, 2160] from Operation: 40*54=2160 Current State: 28:[4, 77, 2160], Operations: ['40*54=2160'] Exploring Operation: 2160-4=2156, Resulting Numbers: [77, 2156] Generated Node #3: [77, 2156] from Operation: 2160-4=2156 Current State: 28:[77, 2156], Operations: ['40*54=2160', '2160-4=2156'] Exploring Operation: 2156/77=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 37, 17, 51, 16 ]
13
[ "37+17=54", "51+16=67", "67-54=13" ]
Current State: 13:[37, 17, 51, 16], Operations: [] Exploring Operation: 37+17=54, Resulting Numbers: [51, 16, 54] Generated Node #2: [51, 16, 54] from Operation: 37+17=54 Current State: 13:[51, 16, 54], Operations: ['37+17=54'] Exploring Operation: 51+16=67, Resulting Numbers: [54, 67] Generated Node #3: [54, 67] from Operation: 51+16=67 Current State: 13:[54, 67], Operations: ['37+17=54', '51+16=67'] Exploring Operation: 67-54=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 85, 21, 17, 57 ]
31
[ "85/17=5", "57-21=36", "36-5=31" ]
Current State: 31:[85, 21, 17, 57], Operations: [] Exploring Operation: 85/17=5, Resulting Numbers: [21, 57, 5] Generated Node #2: [21, 57, 5] from Operation: 85/17=5 Current State: 31:[21, 57, 5], Operations: ['85/17=5'] Exploring Operation: 57-21=36, Resulting Numbers: [5, 36] Generated Node #3: [5, 36] from Operation: 57-21=36 Current State: 31:[5, 36], Operations: ['85/17=5', '57-21=36'] Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 56, 8, 21, 14 ]
57
[ "56+8=64", "21-14=7", "64-7=57" ]
Current State: 57:[56, 8, 21, 14], Operations: [] Exploring Operation: 56+8=64, Resulting Numbers: [21, 14, 64] Generated Node #2: [21, 14, 64] from Operation: 56+8=64 Current State: 57:[21, 14, 64], Operations: ['56+8=64'] Exploring Operation: 21-14=7, Resulting Numbers: [64, 7] Generated Node #3: [64, 7] from Operation: 21-14=7 Current State: 57:[64, 7], Operations: ['56+8=64', '21-14=7'] Exploring Operation: 64-7=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 3, 30, 77, 96 ]
33
[ "30+77=107", "107-96=11", "3*11=33" ]
Current State: 33:[3, 30, 77, 96], Operations: [] Exploring Operation: 30+77=107, Resulting Numbers: [3, 96, 107] Generated Node #2: [3, 96, 107] from Operation: 30+77=107 Current State: 33:[3, 96, 107], Operations: ['30+77=107'] Exploring Operation: 107-96=11, Resulting Numbers: [3, 11] Generated Node #3: [3, 11] from Operation: 107-96=11 Current State: 33:[3, 11], Operations: ['30+77=107', '107-96=11'] Exploring Operation: 3*11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 11, 5, 20, 24 ]
31
[ "11+24=35", "20/5=4", "35-4=31" ]
Current State: 31:[11, 5, 20, 24], Operations: [] Exploring Operation: 11+24=35, Resulting Numbers: [5, 20, 35] Generated Node #2: [5, 20, 35] from Operation: 11+24=35 Current State: 31:[5, 20, 35], Operations: ['11+24=35'] Exploring Operation: 20/5=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 20/5=4 Current State: 31:[35, 4], Operations: ['11+24=35', '20/5=4'] Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 98, 95, 72, 12 ]
57
[ "98-95=3", "72-12=60", "60-3=57" ]
Current State: 57:[98, 95, 72, 12], Operations: [] Exploring Operation: 98-95=3, Resulting Numbers: [72, 12, 3] Generated Node #2: [72, 12, 3] from Operation: 98-95=3 Current State: 57:[72, 12, 3], Operations: ['98-95=3'] Exploring Operation: 72-12=60, Resulting Numbers: [3, 60] Generated Node #3: [3, 60] from Operation: 72-12=60 Current State: 57:[3, 60], Operations: ['98-95=3', '72-12=60'] Exploring Operation: 60-3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 75, 75, 67, 53 ]
67
[ "75-75=0", "53*0=0", "67+0=67" ]
Current State: 67:[75, 75, 67, 53], Operations: [] Exploring Operation: 75-75=0, Resulting Numbers: [67, 53, 0] Generated Node #2: [67, 53, 0] from Operation: 75-75=0 Current State: 67:[67, 53, 0], Operations: ['75-75=0'] Exploring Operation: 53*0=0, Resulting Numbers: [67, 0] Generated Node #3: [67, 0] from Operation: 53*0=0 Current State: 67:[67, 0], Operations: ['75-75=0', '53*0=0'] Exploring Operation: 67+0=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 32, 47, 74, 93 ]
34
[ "47-32=15", "93-74=19", "15+19=34" ]
Current State: 34:[32, 47, 74, 93], Operations: [] Exploring Operation: 47-32=15, Resulting Numbers: [74, 93, 15] Generated Node #2: [74, 93, 15] from Operation: 47-32=15 Current State: 34:[74, 93, 15], Operations: ['47-32=15'] Exploring Operation: 93-74=19, Resulting Numbers: [15, 19] Generated Node #3: [15, 19] from Operation: 93-74=19 Current State: 34:[15, 19], Operations: ['47-32=15', '93-74=19'] Exploring Operation: 15+19=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 29, 36, 25, 7 ]
97
[ "29+36=65", "25+7=32", "65+32=97" ]
Current State: 97:[29, 36, 25, 7], Operations: [] Exploring Operation: 29+36=65, Resulting Numbers: [25, 7, 65] Generated Node #2: [25, 7, 65] from Operation: 29+36=65 Current State: 97:[25, 7, 65], Operations: ['29+36=65'] Exploring Operation: 25+7=32, Resulting Numbers: [65, 32] Generated Node #3: [65, 32] from Operation: 25+7=32 Current State: 97:[65, 32], Operations: ['29+36=65', '25+7=32'] Exploring Operation: 65+32=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 3, 55, 6, 81 ]
88
[ "81/3=27", "55+6=61", "27+61=88" ]
Current State: 88:[3, 55, 6, 81], Operations: [] Exploring Operation: 81/3=27, Resulting Numbers: [55, 6, 27] Generated Node #2: [55, 6, 27] from Operation: 81/3=27 Current State: 88:[55, 6, 27], Operations: ['81/3=27'] Exploring Operation: 55+6=61, Resulting Numbers: [27, 61] Generated Node #3: [27, 61] from Operation: 55+6=61 Current State: 88:[27, 61], Operations: ['81/3=27', '55+6=61'] Exploring Operation: 27+61=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 27, 53, 46, 93 ]
73
[ "53-27=26", "93-46=47", "26+47=73" ]
Current State: 73:[27, 53, 46, 93], Operations: [] Exploring Operation: 53-27=26, Resulting Numbers: [46, 93, 26] Generated Node #2: [46, 93, 26] from Operation: 53-27=26 Current State: 73:[46, 93, 26], Operations: ['53-27=26'] Exploring Operation: 93-46=47, Resulting Numbers: [26, 47] Generated Node #3: [26, 47] from Operation: 93-46=47 Current State: 73:[26, 47], Operations: ['53-27=26', '93-46=47'] Exploring Operation: 26+47=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 20, 52, 70, 29 ]
73
[ "52-20=32", "70-29=41", "32+41=73" ]
Current State: 73:[20, 52, 70, 29], Operations: [] Exploring Operation: 52-20=32, Resulting Numbers: [70, 29, 32] Generated Node #2: [70, 29, 32] from Operation: 52-20=32 Current State: 73:[70, 29, 32], Operations: ['52-20=32'] Exploring Operation: 70-29=41, Resulting Numbers: [32, 41] Generated Node #3: [32, 41] from Operation: 70-29=41 Current State: 73:[32, 41], Operations: ['52-20=32', '70-29=41'] Exploring Operation: 32+41=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 85, 42, 30, 99 ]
26
[ "85-42=43", "99-30=69", "69-43=26" ]
Current State: 26:[85, 42, 30, 99], Operations: [] Exploring Operation: 85-42=43, Resulting Numbers: [30, 99, 43] Generated Node #2: [30, 99, 43] from Operation: 85-42=43 Current State: 26:[30, 99, 43], Operations: ['85-42=43'] Exploring Operation: 99-30=69, Resulting Numbers: [43, 69] Generated Node #3: [43, 69] from Operation: 99-30=69 Current State: 26:[43, 69], Operations: ['85-42=43', '99-30=69'] Exploring Operation: 69-43=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 13, 2, 92, 1 ]
99
[ "13+1=14", "14/2=7", "92+7=99" ]
Current State: 99:[13, 2, 92, 1], Operations: [] Exploring Operation: 13+1=14, Resulting Numbers: [2, 92, 14] Generated Node #2: [2, 92, 14] from Operation: 13+1=14 Current State: 99:[2, 92, 14], Operations: ['13+1=14'] Exploring Operation: 14/2=7, Resulting Numbers: [92, 7] Generated Node #3: [92, 7] from Operation: 14/2=7 Current State: 99:[92, 7], Operations: ['13+1=14', '14/2=7'] Exploring Operation: 92+7=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 14, 17, 10, 55 ]
25
[ "17-14=3", "10*3=30", "55-30=25" ]
Current State: 25:[14, 17, 10, 55], Operations: [] Exploring Operation: 17-14=3, Resulting Numbers: [10, 55, 3] Generated Node #2: [10, 55, 3] from Operation: 17-14=3 Current State: 25:[10, 55, 3], Operations: ['17-14=3'] Exploring Operation: 10*3=30, Resulting Numbers: [55, 30] Generated Node #3: [55, 30] from Operation: 10*3=30 Current State: 25:[55, 30], Operations: ['17-14=3', '10*3=30'] Exploring Operation: 55-30=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 12, 48, 8, 6 ]
54
[ "12*8=96", "48-6=42", "96-42=54" ]
Current State: 54:[12, 48, 8, 6], Operations: [] Exploring Operation: 12*8=96, Resulting Numbers: [48, 6, 96] Generated Node #2: [48, 6, 96] from Operation: 12*8=96 Current State: 54:[48, 6, 96], Operations: ['12*8=96'] Exploring Operation: 48-6=42, Resulting Numbers: [96, 42] Generated Node #3: [96, 42] from Operation: 48-6=42 Current State: 54:[96, 42], Operations: ['12*8=96', '48-6=42'] Exploring Operation: 96-42=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 81, 17, 62, 2 ]
72
[ "81+17=98", "98-62=36", "2*36=72" ]
Current State: 72:[81, 17, 62, 2], Operations: [] Exploring Operation: 81+17=98, Resulting Numbers: [62, 2, 98] Generated Node #2: [62, 2, 98] from Operation: 81+17=98 Current State: 72:[62, 2, 98], Operations: ['81+17=98'] Exploring Operation: 98-62=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 98-62=36 Current State: 72:[2, 36], Operations: ['81+17=98', '98-62=36'] Exploring Operation: 2*36=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 46, 38, 85, 36 ]
78
[ "85-46=39", "38-36=2", "39*2=78" ]
Current State: 78:[46, 38, 85, 36], Operations: [] Exploring Operation: 85-46=39, Resulting Numbers: [38, 36, 39] Generated Node #2: [38, 36, 39] from Operation: 85-46=39 Current State: 78:[38, 36, 39], Operations: ['85-46=39'] Exploring Operation: 38-36=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 38-36=2 Current State: 78:[39, 2], Operations: ['85-46=39', '38-36=2'] Exploring Operation: 39*2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 55, 22, 15, 11 ]
37
[ "55-22=33", "15-11=4", "33+4=37" ]
Current State: 37:[55, 22, 15, 11], Operations: [] Exploring Operation: 55-22=33, Resulting Numbers: [15, 11, 33] Generated Node #2: [15, 11, 33] from Operation: 55-22=33 Current State: 37:[15, 11, 33], Operations: ['55-22=33'] Exploring Operation: 15-11=4, Resulting Numbers: [33, 4] Generated Node #3: [33, 4] from Operation: 15-11=4 Current State: 37:[33, 4], Operations: ['55-22=33', '15-11=4'] Exploring Operation: 33+4=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 73, 48, 63, 49 ]
61
[ "73-49=24", "48/24=2", "63-2=61" ]
Current State: 61:[73, 48, 63, 49], Operations: [] Exploring Operation: 73-49=24, Resulting Numbers: [48, 63, 24] Generated Node #2: [48, 63, 24] from Operation: 73-49=24 Current State: 61:[48, 63, 24], Operations: ['73-49=24'] Exploring Operation: 48/24=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 48/24=2 Current State: 61:[63, 2], Operations: ['73-49=24', '48/24=2'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 18, 69, 87, 60 ]
46
[ "18*69=1242", "87-60=27", "1242/27=46" ]
Current State: 46:[18, 69, 87, 60], Operations: [] Exploring Operation: 18*69=1242, Resulting Numbers: [87, 60, 1242] Generated Node #2: [87, 60, 1242] from Operation: 18*69=1242 Current State: 46:[87, 60, 1242], Operations: ['18*69=1242'] Exploring Operation: 87-60=27, Resulting Numbers: [1242, 27] Generated Node #3: [1242, 27] from Operation: 87-60=27 Current State: 46:[1242, 27], Operations: ['18*69=1242', '87-60=27'] Exploring Operation: 1242/27=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 96, 43, 94, 13 ]
99
[ "96-94=2", "43*2=86", "13+86=99" ]
Current State: 99:[96, 43, 94, 13], Operations: [] Exploring Operation: 96-94=2, Resulting Numbers: [43, 13, 2] Generated Node #2: [43, 13, 2] from Operation: 96-94=2 Current State: 99:[43, 13, 2], Operations: ['96-94=2'] Exploring Operation: 43*2=86, Resulting Numbers: [13, 86] Generated Node #3: [13, 86] from Operation: 43*2=86 Current State: 99:[13, 86], Operations: ['96-94=2', '43*2=86'] Exploring Operation: 13+86=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 80, 25, 60, 40 ]
64
[ "60-40=20", "80*20=1600", "1600/25=64" ]
Current State: 64:[80, 25, 60, 40], Operations: [] Exploring Operation: 60-40=20, Resulting Numbers: [80, 25, 20] Generated Node #2: [80, 25, 20] from Operation: 60-40=20 Current State: 64:[80, 25, 20], Operations: ['60-40=20'] Exploring Operation: 80*20=1600, Resulting Numbers: [25, 1600] Generated Node #3: [25, 1600] from Operation: 80*20=1600 Current State: 64:[25, 1600], Operations: ['60-40=20', '80*20=1600'] Exploring Operation: 1600/25=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 6, 58, 65, 5 ]
12
[ "65-58=7", "7-5=2", "6*2=12" ]
Current State: 12:[6, 58, 65, 5], Operations: [] Exploring Operation: 65-58=7, Resulting Numbers: [6, 5, 7] Generated Node #2: [6, 5, 7] from Operation: 65-58=7 Current State: 12:[6, 5, 7], Operations: ['65-58=7'] Exploring Operation: 7-5=2, Resulting Numbers: [6, 2] Generated Node #3: [6, 2] from Operation: 7-5=2 Current State: 12:[6, 2], Operations: ['65-58=7', '7-5=2'] Exploring Operation: 6*2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 3, 7, 93, 4 ]
98
[ "3*4=12", "93-7=86", "12+86=98" ]
Current State: 98:[3, 7, 93, 4], Operations: [] Exploring Operation: 3*4=12, Resulting Numbers: [7, 93, 12] Generated Node #2: [7, 93, 12] from Operation: 3*4=12 Current State: 98:[7, 93, 12], Operations: ['3*4=12'] Exploring Operation: 93-7=86, Resulting Numbers: [12, 86] Generated Node #3: [12, 86] from Operation: 93-7=86 Current State: 98:[12, 86], Operations: ['3*4=12', '93-7=86'] Exploring Operation: 12+86=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 12, 78, 60, 52 ]
72
[ "60-12=48", "78*48=3744", "3744/52=72" ]
Current State: 72:[12, 78, 60, 52], Operations: [] Exploring Operation: 60-12=48, Resulting Numbers: [78, 52, 48] Generated Node #2: [78, 52, 48] from Operation: 60-12=48 Current State: 72:[78, 52, 48], Operations: ['60-12=48'] Exploring Operation: 78*48=3744, Resulting Numbers: [52, 3744] Generated Node #3: [52, 3744] from Operation: 78*48=3744 Current State: 72:[52, 3744], Operations: ['60-12=48', '78*48=3744'] Exploring Operation: 3744/52=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 20, 94, 80, 52 ]
86
[ "20+94=114", "80-52=28", "114-28=86" ]
Current State: 86:[20, 94, 80, 52], Operations: [] Exploring Operation: 20+94=114, Resulting Numbers: [80, 52, 114] Generated Node #2: [80, 52, 114] from Operation: 20+94=114 Current State: 86:[80, 52, 114], Operations: ['20+94=114'] Exploring Operation: 80-52=28, Resulting Numbers: [114, 28] Generated Node #3: [114, 28] from Operation: 80-52=28 Current State: 86:[114, 28], Operations: ['20+94=114', '80-52=28'] Exploring Operation: 114-28=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 13, 34, 42, 35 ]
98
[ "34-13=21", "42+35=77", "21+77=98" ]
Current State: 98:[13, 34, 42, 35], Operations: [] Exploring Operation: 34-13=21, Resulting Numbers: [42, 35, 21] Generated Node #2: [42, 35, 21] from Operation: 34-13=21 Current State: 98:[42, 35, 21], Operations: ['34-13=21'] Exploring Operation: 42+35=77, Resulting Numbers: [21, 77] Generated Node #3: [21, 77] from Operation: 42+35=77 Current State: 98:[21, 77], Operations: ['34-13=21', '42+35=77'] Exploring Operation: 21+77=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 15, 6, 12, 21 ]
34
[ "15+21=36", "12/6=2", "36-2=34" ]
Current State: 34:[15, 6, 12, 21], Operations: [] Exploring Operation: 15+21=36, Resulting Numbers: [6, 12, 36] Generated Node #2: [6, 12, 36] from Operation: 15+21=36 Current State: 34:[6, 12, 36], Operations: ['15+21=36'] Exploring Operation: 12/6=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 12/6=2 Current State: 34:[36, 2], Operations: ['15+21=36', '12/6=2'] Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 37, 52, 14, 74 ]
40
[ "37*52=1924", "1924/74=26", "14+26=40" ]
Current State: 40:[37, 52, 14, 74], Operations: [] Exploring Operation: 37*52=1924, Resulting Numbers: [14, 74, 1924] Generated Node #2: [14, 74, 1924] from Operation: 37*52=1924 Current State: 40:[14, 74, 1924], Operations: ['37*52=1924'] Exploring Operation: 1924/74=26, Resulting Numbers: [14, 26] Generated Node #3: [14, 26] from Operation: 1924/74=26 Current State: 40:[14, 26], Operations: ['37*52=1924', '1924/74=26'] Exploring Operation: 14+26=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 55, 56, 46, 55 ]
56
[ "55-55=0", "46*0=0", "56+0=56" ]
Current State: 56:[55, 56, 46, 55], Operations: [] Exploring Operation: 55-55=0, Resulting Numbers: [56, 46, 0] Generated Node #2: [56, 46, 0] from Operation: 55-55=0 Current State: 56:[56, 46, 0], Operations: ['55-55=0'] Exploring Operation: 46*0=0, Resulting Numbers: [56, 0] Generated Node #3: [56, 0] from Operation: 46*0=0 Current State: 56:[56, 0], Operations: ['55-55=0', '46*0=0'] Exploring Operation: 56+0=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 2, 27, 26, 37 ]
12
[ "2*26=52", "27+37=64", "64-52=12" ]
Current State: 12:[2, 27, 26, 37], Operations: [] Exploring Operation: 2*26=52, Resulting Numbers: [27, 37, 52] Generated Node #2: [27, 37, 52] from Operation: 2*26=52 Current State: 12:[27, 37, 52], Operations: ['2*26=52'] Exploring Operation: 27+37=64, Resulting Numbers: [52, 64] Generated Node #3: [52, 64] from Operation: 27+37=64 Current State: 12:[52, 64], Operations: ['2*26=52', '27+37=64'] Exploring Operation: 64-52=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 67, 8, 74, 75 ]
19
[ "74-67=7", "8*7=56", "75-56=19" ]
Current State: 19:[67, 8, 74, 75], Operations: [] Exploring Operation: 74-67=7, Resulting Numbers: [8, 75, 7] Generated Node #2: [8, 75, 7] from Operation: 74-67=7 Current State: 19:[8, 75, 7], Operations: ['74-67=7'] Exploring Operation: 8*7=56, Resulting Numbers: [75, 56] Generated Node #3: [75, 56] from Operation: 8*7=56 Current State: 19:[75, 56], Operations: ['74-67=7', '8*7=56'] Exploring Operation: 75-56=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 38, 17, 22, 13 ]
15
[ "38+22=60", "17-13=4", "60/4=15" ]
Current State: 15:[38, 17, 22, 13], Operations: [] Exploring Operation: 38+22=60, Resulting Numbers: [17, 13, 60] Generated Node #2: [17, 13, 60] from Operation: 38+22=60 Current State: 15:[17, 13, 60], Operations: ['38+22=60'] Exploring Operation: 17-13=4, Resulting Numbers: [60, 4] Generated Node #3: [60, 4] from Operation: 17-13=4 Current State: 15:[60, 4], Operations: ['38+22=60', '17-13=4'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 4, 58, 31, 70 ]
29
[ "4+31=35", "58*35=2030", "2030/70=29" ]
Current State: 29:[4, 58, 31, 70], Operations: [] Exploring Operation: 4+31=35, Resulting Numbers: [58, 70, 35] Generated Node #2: [58, 70, 35] from Operation: 4+31=35 Current State: 29:[58, 70, 35], Operations: ['4+31=35'] Exploring Operation: 58*35=2030, Resulting Numbers: [70, 2030] Generated Node #3: [70, 2030] from Operation: 58*35=2030 Current State: 29:[70, 2030], Operations: ['4+31=35', '58*35=2030'] Exploring Operation: 2030/70=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 49, 60, 67, 65 ]
23
[ "49+60=109", "67+65=132", "132-109=23" ]
Current State: 23:[49, 60, 67, 65], Operations: [] Exploring Operation: 49+60=109, Resulting Numbers: [67, 65, 109] Generated Node #2: [67, 65, 109] from Operation: 49+60=109 Current State: 23:[67, 65, 109], Operations: ['49+60=109'] Exploring Operation: 67+65=132, Resulting Numbers: [109, 132] Generated Node #3: [109, 132] from Operation: 67+65=132 Current State: 23:[109, 132], Operations: ['49+60=109', '67+65=132'] Exploring Operation: 132-109=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 81, 43, 12, 96 ]
70
[ "81-43=38", "12+96=108", "108-38=70" ]
Current State: 70:[81, 43, 12, 96], Operations: [] Exploring Operation: 81-43=38, Resulting Numbers: [12, 96, 38] Generated Node #2: [12, 96, 38] from Operation: 81-43=38 Current State: 70:[12, 96, 38], Operations: ['81-43=38'] Exploring Operation: 12+96=108, Resulting Numbers: [38, 108] Generated Node #3: [38, 108] from Operation: 12+96=108 Current State: 70:[38, 108], Operations: ['81-43=38', '12+96=108'] Exploring Operation: 108-38=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 9, 38, 20, 34 ]
56
[ "38-34=4", "9*4=36", "20+36=56" ]
Current State: 56:[9, 38, 20, 34], Operations: [] Exploring Operation: 38-34=4, Resulting Numbers: [9, 20, 4] Generated Node #2: [9, 20, 4] from Operation: 38-34=4 Current State: 56:[9, 20, 4], Operations: ['38-34=4'] Exploring Operation: 9*4=36, Resulting Numbers: [20, 36] Generated Node #3: [20, 36] from Operation: 9*4=36 Current State: 56:[20, 36], Operations: ['38-34=4', '9*4=36'] Exploring Operation: 20+36=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 95, 67, 23, 9 ]
41
[ "95+67=162", "162/9=18", "23+18=41" ]
Current State: 41:[95, 67, 23, 9], Operations: [] Exploring Operation: 95+67=162, Resulting Numbers: [23, 9, 162] Generated Node #2: [23, 9, 162] from Operation: 95+67=162 Current State: 41:[23, 9, 162], Operations: ['95+67=162'] Exploring Operation: 162/9=18, Resulting Numbers: [23, 18] Generated Node #3: [23, 18] from Operation: 162/9=18 Current State: 41:[23, 18], Operations: ['95+67=162', '162/9=18'] Exploring Operation: 23+18=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 77, 75, 4, 92 ]
94
[ "77-75=2", "4+92=96", "96-2=94" ]
Current State: 94:[77, 75, 4, 92], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [4, 92, 2] Generated Node #2: [4, 92, 2] from Operation: 77-75=2 Current State: 94:[4, 92, 2], Operations: ['77-75=2'] Exploring Operation: 4+92=96, Resulting Numbers: [2, 96] Generated Node #3: [2, 96] from Operation: 4+92=96 Current State: 94:[2, 96], Operations: ['77-75=2', '4+92=96'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 25, 48, 91, 47 ]
65
[ "25+48=73", "91+47=138", "138-73=65" ]
Current State: 65:[25, 48, 91, 47], Operations: [] Exploring Operation: 25+48=73, Resulting Numbers: [91, 47, 73] Generated Node #2: [91, 47, 73] from Operation: 25+48=73 Current State: 65:[91, 47, 73], Operations: ['25+48=73'] Exploring Operation: 91+47=138, Resulting Numbers: [73, 138] Generated Node #3: [73, 138] from Operation: 91+47=138 Current State: 65:[73, 138], Operations: ['25+48=73', '91+47=138'] Exploring Operation: 138-73=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 10, 29, 8, 44 ]
70
[ "29+8=37", "44-37=7", "10*7=70" ]
Current State: 70:[10, 29, 8, 44], Operations: [] Exploring Operation: 29+8=37, Resulting Numbers: [10, 44, 37] Generated Node #2: [10, 44, 37] from Operation: 29+8=37 Current State: 70:[10, 44, 37], Operations: ['29+8=37'] Exploring Operation: 44-37=7, Resulting Numbers: [10, 7] Generated Node #3: [10, 7] from Operation: 44-37=7 Current State: 70:[10, 7], Operations: ['29+8=37', '44-37=7'] Exploring Operation: 10*7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 55, 19, 47, 18 ]
97
[ "55*18=990", "19*47=893", "990-893=97" ]
Current State: 97:[55, 19, 47, 18], Operations: [] Exploring Operation: 55*18=990, Resulting Numbers: [19, 47, 990] Generated Node #2: [19, 47, 990] from Operation: 55*18=990 Current State: 97:[19, 47, 990], Operations: ['55*18=990'] Exploring Operation: 19*47=893, Resulting Numbers: [990, 893] Generated Node #3: [990, 893] from Operation: 19*47=893 Current State: 97:[990, 893], Operations: ['55*18=990', '19*47=893'] Exploring Operation: 990-893=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 86, 31, 18, 22 ]
51
[ "86-31=55", "22-18=4", "55-4=51" ]
Current State: 51:[86, 31, 18, 22], Operations: [] Exploring Operation: 86-31=55, Resulting Numbers: [18, 22, 55] Generated Node #2: [18, 22, 55] from Operation: 86-31=55 Current State: 51:[18, 22, 55], Operations: ['86-31=55'] Exploring Operation: 22-18=4, Resulting Numbers: [55, 4] Generated Node #3: [55, 4] from Operation: 22-18=4 Current State: 51:[55, 4], Operations: ['86-31=55', '22-18=4'] Exploring Operation: 55-4=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 56, 87, 13, 23 ]
29
[ "56+13=69", "87*23=2001", "2001/69=29" ]
Current State: 29:[56, 87, 13, 23], Operations: [] Exploring Operation: 56+13=69, Resulting Numbers: [87, 23, 69] Generated Node #2: [87, 23, 69] from Operation: 56+13=69 Current State: 29:[87, 23, 69], Operations: ['56+13=69'] Exploring Operation: 87*23=2001, Resulting Numbers: [69, 2001] Generated Node #3: [69, 2001] from Operation: 87*23=2001 Current State: 29:[69, 2001], Operations: ['56+13=69', '87*23=2001'] Exploring Operation: 2001/69=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 11, 78, 17, 7 ]
55
[ "78+7=85", "11*85=935", "935/17=55" ]
Current State: 55:[11, 78, 17, 7], Operations: [] Exploring Operation: 78+7=85, Resulting Numbers: [11, 17, 85] Generated Node #2: [11, 17, 85] from Operation: 78+7=85 Current State: 55:[11, 17, 85], Operations: ['78+7=85'] Exploring Operation: 11*85=935, Resulting Numbers: [17, 935] Generated Node #3: [17, 935] from Operation: 11*85=935 Current State: 55:[17, 935], Operations: ['78+7=85', '11*85=935'] Exploring Operation: 935/17=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 5, 55, 55, 31 ]
27
[ "31-5=26", "55/55=1", "26+1=27" ]
Current State: 27:[5, 55, 55, 31], Operations: [] Exploring Operation: 31-5=26, Resulting Numbers: [55, 55, 26] Generated Node #2: [55, 55, 26] from Operation: 31-5=26 Current State: 27:[55, 55, 26], Operations: ['31-5=26'] Exploring Operation: 55/55=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 55/55=1 Current State: 27:[26, 1], Operations: ['31-5=26', '55/55=1'] Exploring Operation: 26+1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 48, 31, 82, 26 ]
73
[ "48-31=17", "82-26=56", "17+56=73" ]
Current State: 73:[48, 31, 82, 26], Operations: [] Exploring Operation: 48-31=17, Resulting Numbers: [82, 26, 17] Generated Node #2: [82, 26, 17] from Operation: 48-31=17 Current State: 73:[82, 26, 17], Operations: ['48-31=17'] Exploring Operation: 82-26=56, Resulting Numbers: [17, 56] Generated Node #3: [17, 56] from Operation: 82-26=56 Current State: 73:[17, 56], Operations: ['48-31=17', '82-26=56'] Exploring Operation: 17+56=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 86, 64, 30, 17 ]
22
[ "86+64=150", "150/30=5", "17+5=22" ]
Current State: 22:[86, 64, 30, 17], Operations: [] Exploring Operation: 86+64=150, Resulting Numbers: [30, 17, 150] Generated Node #2: [30, 17, 150] from Operation: 86+64=150 Current State: 22:[30, 17, 150], Operations: ['86+64=150'] Exploring Operation: 150/30=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 150/30=5 Current State: 22:[17, 5], Operations: ['86+64=150', '150/30=5'] Exploring Operation: 17+5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 71, 23, 22, 8 ]
18
[ "71-23=48", "22+8=30", "48-30=18" ]
Current State: 18:[71, 23, 22, 8], Operations: [] Exploring Operation: 71-23=48, Resulting Numbers: [22, 8, 48] Generated Node #2: [22, 8, 48] from Operation: 71-23=48 Current State: 18:[22, 8, 48], Operations: ['71-23=48'] Exploring Operation: 22+8=30, Resulting Numbers: [48, 30] Generated Node #3: [48, 30] from Operation: 22+8=30 Current State: 18:[48, 30], Operations: ['71-23=48', '22+8=30'] Exploring Operation: 48-30=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 3, 18, 49, 9 ]
44
[ "49-3=46", "18/9=2", "46-2=44" ]
Current State: 44:[3, 18, 49, 9], Operations: [] Exploring Operation: 49-3=46, Resulting Numbers: [18, 9, 46] Generated Node #2: [18, 9, 46] from Operation: 49-3=46 Current State: 44:[18, 9, 46], Operations: ['49-3=46'] Exploring Operation: 18/9=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 18/9=2 Current State: 44:[46, 2], Operations: ['49-3=46', '18/9=2'] Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 63, 39, 44, 26 ]
78
[ "63*26=1638", "39*44=1716", "1716-1638=78" ]
Current State: 78:[63, 39, 44, 26], Operations: [] Exploring Operation: 63*26=1638, Resulting Numbers: [39, 44, 1638] Generated Node #2: [39, 44, 1638] from Operation: 63*26=1638 Current State: 78:[39, 44, 1638], Operations: ['63*26=1638'] Exploring Operation: 39*44=1716, Resulting Numbers: [1638, 1716] Generated Node #3: [1638, 1716] from Operation: 39*44=1716 Current State: 78:[1638, 1716], Operations: ['63*26=1638', '39*44=1716'] Exploring Operation: 1716-1638=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 66, 1, 31, 34 ]
68
[ "66-1=65", "34-31=3", "65+3=68" ]
Current State: 68:[66, 1, 31, 34], Operations: [] Exploring Operation: 66-1=65, Resulting Numbers: [31, 34, 65] Generated Node #2: [31, 34, 65] from Operation: 66-1=65 Current State: 68:[31, 34, 65], Operations: ['66-1=65'] Exploring Operation: 34-31=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 34-31=3 Current State: 68:[65, 3], Operations: ['66-1=65', '34-31=3'] Exploring Operation: 65+3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 23, 83, 37, 8 ]
77
[ "23+83=106", "37-8=29", "106-29=77" ]
Current State: 77:[23, 83, 37, 8], Operations: [] Exploring Operation: 23+83=106, Resulting Numbers: [37, 8, 106] Generated Node #2: [37, 8, 106] from Operation: 23+83=106 Current State: 77:[37, 8, 106], Operations: ['23+83=106'] Exploring Operation: 37-8=29, Resulting Numbers: [106, 29] Generated Node #3: [106, 29] from Operation: 37-8=29 Current State: 77:[106, 29], Operations: ['23+83=106', '37-8=29'] Exploring Operation: 106-29=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 23, 77, 63, 97 ]
66
[ "23+77=100", "97-63=34", "100-34=66" ]
Current State: 66:[23, 77, 63, 97], Operations: [] Exploring Operation: 23+77=100, Resulting Numbers: [63, 97, 100] Generated Node #2: [63, 97, 100] from Operation: 23+77=100 Current State: 66:[63, 97, 100], Operations: ['23+77=100'] Exploring Operation: 97-63=34, Resulting Numbers: [100, 34] Generated Node #3: [100, 34] from Operation: 97-63=34 Current State: 66:[100, 34], Operations: ['23+77=100', '97-63=34'] Exploring Operation: 100-34=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 10, 7, 89, 6 ]
79
[ "89-10=79", "7-6=1", "79*1=79" ]
Current State: 79:[10, 7, 89, 6], Operations: [] Exploring Operation: 89-10=79, Resulting Numbers: [7, 6, 79] Generated Node #2: [7, 6, 79] from Operation: 89-10=79 Current State: 79:[7, 6, 79], Operations: ['89-10=79'] Exploring Operation: 7-6=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 7-6=1 Current State: 79:[79, 1], Operations: ['89-10=79', '7-6=1'] Exploring Operation: 79*1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 56, 45, 2, 71 ]
41
[ "56+45=101", "2*71=142", "142-101=41" ]
Current State: 41:[56, 45, 2, 71], Operations: [] Exploring Operation: 56+45=101, Resulting Numbers: [2, 71, 101] Generated Node #2: [2, 71, 101] from Operation: 56+45=101 Current State: 41:[2, 71, 101], Operations: ['56+45=101'] Exploring Operation: 2*71=142, Resulting Numbers: [101, 142] Generated Node #3: [101, 142] from Operation: 2*71=142 Current State: 41:[101, 142], Operations: ['56+45=101', '2*71=142'] Exploring Operation: 142-101=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 49, 19, 52, 28 ]
54
[ "49-19=30", "52-28=24", "30+24=54" ]
Current State: 54:[49, 19, 52, 28], Operations: [] Exploring Operation: 49-19=30, Resulting Numbers: [52, 28, 30] Generated Node #2: [52, 28, 30] from Operation: 49-19=30 Current State: 54:[52, 28, 30], Operations: ['49-19=30'] Exploring Operation: 52-28=24, Resulting Numbers: [30, 24] Generated Node #3: [30, 24] from Operation: 52-28=24 Current State: 54:[30, 24], Operations: ['49-19=30', '52-28=24'] Exploring Operation: 30+24=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 19, 45, 53, 2 ]
85
[ "19+45=64", "64/2=32", "53+32=85" ]
Current State: 85:[19, 45, 53, 2], Operations: [] Exploring Operation: 19+45=64, Resulting Numbers: [53, 2, 64] Generated Node #2: [53, 2, 64] from Operation: 19+45=64 Current State: 85:[53, 2, 64], Operations: ['19+45=64'] Exploring Operation: 64/2=32, Resulting Numbers: [53, 32] Generated Node #3: [53, 32] from Operation: 64/2=32 Current State: 85:[53, 32], Operations: ['19+45=64', '64/2=32'] Exploring Operation: 53+32=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 51, 54, 46, 32 ]
42
[ "54-51=3", "46-32=14", "3*14=42" ]
Current State: 42:[51, 54, 46, 32], Operations: [] Exploring Operation: 54-51=3, Resulting Numbers: [46, 32, 3] Generated Node #2: [46, 32, 3] from Operation: 54-51=3 Current State: 42:[46, 32, 3], Operations: ['54-51=3'] Exploring Operation: 46-32=14, Resulting Numbers: [3, 14] Generated Node #3: [3, 14] from Operation: 46-32=14 Current State: 42:[3, 14], Operations: ['54-51=3', '46-32=14'] Exploring Operation: 3*14=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 8, 18, 96, 33 ]
37
[ "8+18=26", "96-33=63", "63-26=37" ]
Current State: 37:[8, 18, 96, 33], Operations: [] Exploring Operation: 8+18=26, Resulting Numbers: [96, 33, 26] Generated Node #2: [96, 33, 26] from Operation: 8+18=26 Current State: 37:[96, 33, 26], Operations: ['8+18=26'] Exploring Operation: 96-33=63, Resulting Numbers: [26, 63] Generated Node #3: [26, 63] from Operation: 96-33=63 Current State: 37:[26, 63], Operations: ['8+18=26', '96-33=63'] Exploring Operation: 63-26=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 33, 35, 38, 19 ]
59
[ "35-33=2", "38+19=57", "2+57=59" ]
Current State: 59:[33, 35, 38, 19], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [38, 19, 2] Generated Node #2: [38, 19, 2] from Operation: 35-33=2 Current State: 59:[38, 19, 2], Operations: ['35-33=2'] Exploring Operation: 38+19=57, Resulting Numbers: [2, 57] Generated Node #3: [2, 57] from Operation: 38+19=57 Current State: 59:[2, 57], Operations: ['35-33=2', '38+19=57'] Exploring Operation: 2+57=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 83, 46, 74, 61 ]
63
[ "83-46=37", "74/37=2", "61+2=63" ]
Current State: 63:[83, 46, 74, 61], Operations: [] Exploring Operation: 83-46=37, Resulting Numbers: [74, 61, 37] Generated Node #2: [74, 61, 37] from Operation: 83-46=37 Current State: 63:[74, 61, 37], Operations: ['83-46=37'] Exploring Operation: 74/37=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 74/37=2 Current State: 63:[61, 2], Operations: ['83-46=37', '74/37=2'] Exploring Operation: 61+2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 49, 21, 66, 88 ]
50
[ "49-21=28", "88-66=22", "28+22=50" ]
Current State: 50:[49, 21, 66, 88], Operations: [] Exploring Operation: 49-21=28, Resulting Numbers: [66, 88, 28] Generated Node #2: [66, 88, 28] from Operation: 49-21=28 Current State: 50:[66, 88, 28], Operations: ['49-21=28'] Exploring Operation: 88-66=22, Resulting Numbers: [28, 22] Generated Node #3: [28, 22] from Operation: 88-66=22 Current State: 50:[28, 22], Operations: ['49-21=28', '88-66=22'] Exploring Operation: 28+22=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 85, 21, 17, 17 ]
30
[ "85-21=64", "17+17=34", "64-34=30" ]
Current State: 30:[85, 21, 17, 17], Operations: [] Exploring Operation: 85-21=64, Resulting Numbers: [17, 17, 64] Generated Node #2: [17, 17, 64] from Operation: 85-21=64 Current State: 30:[17, 17, 64], Operations: ['85-21=64'] Exploring Operation: 17+17=34, Resulting Numbers: [64, 34] Generated Node #3: [64, 34] from Operation: 17+17=34 Current State: 30:[64, 34], Operations: ['85-21=64', '17+17=34'] Exploring Operation: 64-34=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 30, 32, 13, 63 ]
12
[ "30+32=62", "63-13=50", "62-50=12" ]
Current State: 12:[30, 32, 13, 63], Operations: [] Exploring Operation: 30+32=62, Resulting Numbers: [13, 63, 62] Generated Node #2: [13, 63, 62] from Operation: 30+32=62 Current State: 12:[13, 63, 62], Operations: ['30+32=62'] Exploring Operation: 63-13=50, Resulting Numbers: [62, 50] Generated Node #3: [62, 50] from Operation: 63-13=50 Current State: 12:[62, 50], Operations: ['30+32=62', '63-13=50'] Exploring Operation: 62-50=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 74, 2, 86, 73 ]
49
[ "86-74=12", "2*12=24", "73-24=49" ]
Current State: 49:[74, 2, 86, 73], Operations: [] Exploring Operation: 86-74=12, Resulting Numbers: [2, 73, 12] Generated Node #2: [2, 73, 12] from Operation: 86-74=12 Current State: 49:[2, 73, 12], Operations: ['86-74=12'] Exploring Operation: 2*12=24, Resulting Numbers: [73, 24] Generated Node #3: [73, 24] from Operation: 2*12=24 Current State: 49:[73, 24], Operations: ['86-74=12', '2*12=24'] Exploring Operation: 73-24=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 99, 36, 68, 90 ]
64
[ "99-90=9", "36/9=4", "68-4=64" ]
Current State: 64:[99, 36, 68, 90], Operations: [] Exploring Operation: 99-90=9, Resulting Numbers: [36, 68, 9] Generated Node #2: [36, 68, 9] from Operation: 99-90=9 Current State: 64:[36, 68, 9], Operations: ['99-90=9'] Exploring Operation: 36/9=4, Resulting Numbers: [68, 4] Generated Node #3: [68, 4] from Operation: 36/9=4 Current State: 64:[68, 4], Operations: ['99-90=9', '36/9=4'] Exploring Operation: 68-4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 8, 11, 25, 27 ]
90
[ "8*11=88", "27-25=2", "88+2=90" ]
Current State: 90:[8, 11, 25, 27], Operations: [] Exploring Operation: 8*11=88, Resulting Numbers: [25, 27, 88] Generated Node #2: [25, 27, 88] from Operation: 8*11=88 Current State: 90:[25, 27, 88], Operations: ['8*11=88'] Exploring Operation: 27-25=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 27-25=2 Current State: 90:[88, 2], Operations: ['8*11=88', '27-25=2'] Exploring Operation: 88+2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 19, 12, 69, 23 ]
23
[ "23-19=4", "12/4=3", "69/3=23" ]
Current State: 23:[19, 12, 69, 23], Operations: [] Exploring Operation: 23-19=4, Resulting Numbers: [12, 69, 4] Generated Node #2: [12, 69, 4] from Operation: 23-19=4 Current State: 23:[12, 69, 4], Operations: ['23-19=4'] Exploring Operation: 12/4=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 12/4=3 Current State: 23:[69, 3], Operations: ['23-19=4', '12/4=3'] Exploring Operation: 69/3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 14, 5, 73, 38 ]
16
[ "14+5=19", "73-38=35", "35-19=16" ]
Current State: 16:[14, 5, 73, 38], Operations: [] Exploring Operation: 14+5=19, Resulting Numbers: [73, 38, 19] Generated Node #2: [73, 38, 19] from Operation: 14+5=19 Current State: 16:[73, 38, 19], Operations: ['14+5=19'] Exploring Operation: 73-38=35, Resulting Numbers: [19, 35] Generated Node #3: [19, 35] from Operation: 73-38=35 Current State: 16:[19, 35], Operations: ['14+5=19', '73-38=35'] Exploring Operation: 35-19=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 15, 36, 51, 9 ]
89
[ "15*51=765", "36+765=801", "801/9=89" ]
Current State: 89:[15, 36, 51, 9], Operations: [] Exploring Operation: 15*51=765, Resulting Numbers: [36, 9, 765] Generated Node #2: [36, 9, 765] from Operation: 15*51=765 Current State: 89:[36, 9, 765], Operations: ['15*51=765'] Exploring Operation: 36+765=801, Resulting Numbers: [9, 801] Generated Node #3: [9, 801] from Operation: 36+765=801 Current State: 89:[9, 801], Operations: ['15*51=765', '36+765=801'] Exploring Operation: 801/9=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 69, 76, 31, 2 ]
55
[ "76-69=7", "31*2=62", "62-7=55" ]
Current State: 55:[69, 76, 31, 2], Operations: [] Exploring Operation: 76-69=7, Resulting Numbers: [31, 2, 7] Generated Node #2: [31, 2, 7] from Operation: 76-69=7 Current State: 55:[31, 2, 7], Operations: ['76-69=7'] Exploring Operation: 31*2=62, Resulting Numbers: [7, 62] Generated Node #3: [7, 62] from Operation: 31*2=62 Current State: 55:[7, 62], Operations: ['76-69=7', '31*2=62'] Exploring Operation: 62-7=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 21, 3, 50, 37 ]
91
[ "21/3=7", "50-37=13", "7*13=91" ]
Current State: 91:[21, 3, 50, 37], Operations: [] Exploring Operation: 21/3=7, Resulting Numbers: [50, 37, 7] Generated Node #2: [50, 37, 7] from Operation: 21/3=7 Current State: 91:[50, 37, 7], Operations: ['21/3=7'] Exploring Operation: 50-37=13, Resulting Numbers: [7, 13] Generated Node #3: [7, 13] from Operation: 50-37=13 Current State: 91:[7, 13], Operations: ['21/3=7', '50-37=13'] Exploring Operation: 7*13=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4