Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 16, 55, 34, 87 ]
14
[ "55-16=39", "87-34=53", "53-39=14" ]
Current State: 14:[16, 55, 34, 87], Operations: [] Exploring Operation: 55-16=39, Resulting Numbers: [34, 87, 39] Generated Node #2: [34, 87, 39] from Operation: 55-16=39 Current State: 14:[34, 87, 39], Operations: ['55-16=39'] Exploring Operation: 87-34=53, Resulting Numbers: [39, 53] Generated Node #3: [39, 53] from Operation: 87-34=53 Current State: 14:[39, 53], Operations: ['55-16=39', '87-34=53'] Exploring Operation: 53-39=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 61, 14, 35, 7 ]
15
[ "61+14=75", "35/7=5", "75/5=15" ]
Current State: 15:[61, 14, 35, 7], Operations: [] Exploring Operation: 61+14=75, Resulting Numbers: [35, 7, 75] Generated Node #2: [35, 7, 75] from Operation: 61+14=75 Current State: 15:[35, 7, 75], Operations: ['61+14=75'] Exploring Operation: 35/7=5, Resulting Numbers: [75, 5] Generated Node #3: [75, 5] from Operation: 35/7=5 Current State: 15:[75, 5], Operations: ['61+14=75', '35/7=5'] Exploring Operation: 75/5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 2, 3, 16, 74 ]
87
[ "74-16=58", "58/2=29", "3*29=87" ]
Current State: 87:[2, 3, 16, 74], Operations: [] Exploring Operation: 74-16=58, Resulting Numbers: [2, 3, 58] Generated Node #2: [2, 3, 58] from Operation: 74-16=58 Current State: 87:[2, 3, 58], Operations: ['74-16=58'] Exploring Operation: 58/2=29, Resulting Numbers: [3, 29] Generated Node #3: [3, 29] from Operation: 58/2=29 Current State: 87:[3, 29], Operations: ['74-16=58', '58/2=29'] Exploring Operation: 3*29=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 24, 26, 52, 25 ]
73
[ "24*52=1248", "1248/26=48", "25+48=73" ]
Current State: 73:[24, 26, 52, 25], Operations: [] Exploring Operation: 24*52=1248, Resulting Numbers: [26, 25, 1248] Generated Node #2: [26, 25, 1248] from Operation: 24*52=1248 Current State: 73:[26, 25, 1248], Operations: ['24*52=1248'] Exploring Operation: 1248/26=48, Resulting Numbers: [25, 48] Generated Node #3: [25, 48] from Operation: 1248/26=48 Current State: 73:[25, 48], Operations: ['24*52=1248', '1248/26=48'] Exploring Operation: 25+48=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 1, 39, 2, 43 ]
83
[ "39-1=38", "2+43=45", "38+45=83" ]
Current State: 83:[1, 39, 2, 43], Operations: [] Exploring Operation: 39-1=38, Resulting Numbers: [2, 43, 38] Generated Node #2: [2, 43, 38] from Operation: 39-1=38 Current State: 83:[2, 43, 38], Operations: ['39-1=38'] Exploring Operation: 2+43=45, Resulting Numbers: [38, 45] Generated Node #3: [38, 45] from Operation: 2+43=45 Current State: 83:[38, 45], Operations: ['39-1=38', '2+43=45'] Exploring Operation: 38+45=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 1, 76, 57, 29 ]
74
[ "1+57=58", "58/29=2", "76-2=74" ]
Current State: 74:[1, 76, 57, 29], Operations: [] Exploring Operation: 1+57=58, Resulting Numbers: [76, 29, 58] Generated Node #2: [76, 29, 58] from Operation: 1+57=58 Current State: 74:[76, 29, 58], Operations: ['1+57=58'] Exploring Operation: 58/29=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 58/29=2 Current State: 74:[76, 2], Operations: ['1+57=58', '58/29=2'] Exploring Operation: 76-2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 6, 39, 75, 5 ]
30
[ "6+39=45", "75/5=15", "45-15=30" ]
Current State: 30:[6, 39, 75, 5], Operations: [] Exploring Operation: 6+39=45, Resulting Numbers: [75, 5, 45] Generated Node #2: [75, 5, 45] from Operation: 6+39=45 Current State: 30:[75, 5, 45], Operations: ['6+39=45'] Exploring Operation: 75/5=15, Resulting Numbers: [45, 15] Generated Node #3: [45, 15] from Operation: 75/5=15 Current State: 30:[45, 15], Operations: ['6+39=45', '75/5=15'] Exploring Operation: 45-15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 81, 82, 93, 20 ]
74
[ "82-81=1", "93-20=73", "1+73=74" ]
Current State: 74:[81, 82, 93, 20], Operations: [] Exploring Operation: 82-81=1, Resulting Numbers: [93, 20, 1] Generated Node #2: [93, 20, 1] from Operation: 82-81=1 Current State: 74:[93, 20, 1], Operations: ['82-81=1'] Exploring Operation: 93-20=73, Resulting Numbers: [1, 73] Generated Node #3: [1, 73] from Operation: 93-20=73 Current State: 74:[1, 73], Operations: ['82-81=1', '93-20=73'] Exploring Operation: 1+73=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 88, 77, 6, 40 ]
69
[ "88-40=48", "48/6=8", "77-8=69" ]
Current State: 69:[88, 77, 6, 40], Operations: [] Exploring Operation: 88-40=48, Resulting Numbers: [77, 6, 48] Generated Node #2: [77, 6, 48] from Operation: 88-40=48 Current State: 69:[77, 6, 48], Operations: ['88-40=48'] Exploring Operation: 48/6=8, Resulting Numbers: [77, 8] Generated Node #3: [77, 8] from Operation: 48/6=8 Current State: 69:[77, 8], Operations: ['88-40=48', '48/6=8'] Exploring Operation: 77-8=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 78, 45, 55, 60 ]
72
[ "55-45=10", "60/10=6", "78-6=72" ]
Current State: 72:[78, 45, 55, 60], Operations: [] Exploring Operation: 55-45=10, Resulting Numbers: [78, 60, 10] Generated Node #2: [78, 60, 10] from Operation: 55-45=10 Current State: 72:[78, 60, 10], Operations: ['55-45=10'] Exploring Operation: 60/10=6, Resulting Numbers: [78, 6] Generated Node #3: [78, 6] from Operation: 60/10=6 Current State: 72:[78, 6], Operations: ['55-45=10', '60/10=6'] Exploring Operation: 78-6=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 95, 31, 91, 64 ]
70
[ "95+91=186", "186/31=6", "64+6=70" ]
Current State: 70:[95, 31, 91, 64], Operations: [] Exploring Operation: 95+91=186, Resulting Numbers: [31, 64, 186] Generated Node #2: [31, 64, 186] from Operation: 95+91=186 Current State: 70:[31, 64, 186], Operations: ['95+91=186'] Exploring Operation: 186/31=6, Resulting Numbers: [64, 6] Generated Node #3: [64, 6] from Operation: 186/31=6 Current State: 70:[64, 6], Operations: ['95+91=186', '186/31=6'] Exploring Operation: 64+6=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 56, 28, 94, 65 ]
31
[ "56/28=2", "94-65=29", "2+29=31" ]
Current State: 31:[56, 28, 94, 65], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [94, 65, 2] Generated Node #2: [94, 65, 2] from Operation: 56/28=2 Current State: 31:[94, 65, 2], Operations: ['56/28=2'] Exploring Operation: 94-65=29, Resulting Numbers: [2, 29] Generated Node #3: [2, 29] from Operation: 94-65=29 Current State: 31:[2, 29], Operations: ['56/28=2', '94-65=29'] Exploring Operation: 2+29=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 68, 34, 59, 11 ]
50
[ "68/34=2", "59-11=48", "2+48=50" ]
Current State: 50:[68, 34, 59, 11], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [59, 11, 2] Generated Node #2: [59, 11, 2] from Operation: 68/34=2 Current State: 50:[59, 11, 2], Operations: ['68/34=2'] Exploring Operation: 59-11=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 59-11=48 Current State: 50:[2, 48], Operations: ['68/34=2', '59-11=48'] Exploring Operation: 2+48=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 36, 14, 63, 35 ]
43
[ "36*14=504", "504/63=8", "35+8=43" ]
Current State: 43:[36, 14, 63, 35], Operations: [] Exploring Operation: 36*14=504, Resulting Numbers: [63, 35, 504] Generated Node #2: [63, 35, 504] from Operation: 36*14=504 Current State: 43:[63, 35, 504], Operations: ['36*14=504'] Exploring Operation: 504/63=8, Resulting Numbers: [35, 8] Generated Node #3: [35, 8] from Operation: 504/63=8 Current State: 43:[35, 8], Operations: ['36*14=504', '504/63=8'] Exploring Operation: 35+8=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 10, 63, 58, 2 ]
70
[ "63-58=5", "2+5=7", "10*7=70" ]
Current State: 70:[10, 63, 58, 2], Operations: [] Exploring Operation: 63-58=5, Resulting Numbers: [10, 2, 5] Generated Node #2: [10, 2, 5] from Operation: 63-58=5 Current State: 70:[10, 2, 5], Operations: ['63-58=5'] Exploring Operation: 2+5=7, Resulting Numbers: [10, 7] Generated Node #3: [10, 7] from Operation: 2+5=7 Current State: 70:[10, 7], Operations: ['63-58=5', '2+5=7'] Exploring Operation: 10*7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 73, 16, 71, 74 ]
83
[ "73+71=144", "144/16=9", "74+9=83" ]
Current State: 83:[73, 16, 71, 74], Operations: [] Exploring Operation: 73+71=144, Resulting Numbers: [16, 74, 144] Generated Node #2: [16, 74, 144] from Operation: 73+71=144 Current State: 83:[16, 74, 144], Operations: ['73+71=144'] Exploring Operation: 144/16=9, Resulting Numbers: [74, 9] Generated Node #3: [74, 9] from Operation: 144/16=9 Current State: 83:[74, 9], Operations: ['73+71=144', '144/16=9'] Exploring Operation: 74+9=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 51, 54, 50, 1 ]
53
[ "54-51=3", "50*1=50", "3+50=53" ]
Current State: 53:[51, 54, 50, 1], Operations: [] Exploring Operation: 54-51=3, Resulting Numbers: [50, 1, 3] Generated Node #2: [50, 1, 3] from Operation: 54-51=3 Current State: 53:[50, 1, 3], Operations: ['54-51=3'] Exploring Operation: 50*1=50, Resulting Numbers: [3, 50] Generated Node #3: [3, 50] from Operation: 50*1=50 Current State: 53:[3, 50], Operations: ['54-51=3', '50*1=50'] Exploring Operation: 3+50=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 40, 20, 30, 76 ]
54
[ "76-40=36", "30*36=1080", "1080/20=54" ]
Current State: 54:[40, 20, 30, 76], Operations: [] Exploring Operation: 76-40=36, Resulting Numbers: [20, 30, 36] Generated Node #2: [20, 30, 36] from Operation: 76-40=36 Current State: 54:[20, 30, 36], Operations: ['76-40=36'] Exploring Operation: 30*36=1080, Resulting Numbers: [20, 1080] Generated Node #3: [20, 1080] from Operation: 30*36=1080 Current State: 54:[20, 1080], Operations: ['76-40=36', '30*36=1080'] Exploring Operation: 1080/20=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 76, 29, 80, 68 ]
93
[ "76+29=105", "80-68=12", "105-12=93" ]
Current State: 93:[76, 29, 80, 68], Operations: [] Exploring Operation: 76+29=105, Resulting Numbers: [80, 68, 105] Generated Node #2: [80, 68, 105] from Operation: 76+29=105 Current State: 93:[80, 68, 105], Operations: ['76+29=105'] Exploring Operation: 80-68=12, Resulting Numbers: [105, 12] Generated Node #3: [105, 12] from Operation: 80-68=12 Current State: 93:[105, 12], Operations: ['76+29=105', '80-68=12'] Exploring Operation: 105-12=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 5, 2, 81, 54 ]
92
[ "81-5=76", "76/2=38", "54+38=92" ]
Current State: 92:[5, 2, 81, 54], Operations: [] Exploring Operation: 81-5=76, Resulting Numbers: [2, 54, 76] Generated Node #2: [2, 54, 76] from Operation: 81-5=76 Current State: 92:[2, 54, 76], Operations: ['81-5=76'] Exploring Operation: 76/2=38, Resulting Numbers: [54, 38] Generated Node #3: [54, 38] from Operation: 76/2=38 Current State: 92:[54, 38], Operations: ['81-5=76', '76/2=38'] Exploring Operation: 54+38=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 19, 69, 62, 27 ]
93
[ "19+27=46", "69*62=4278", "4278/46=93" ]
Current State: 93:[19, 69, 62, 27], Operations: [] Exploring Operation: 19+27=46, Resulting Numbers: [69, 62, 46] Generated Node #2: [69, 62, 46] from Operation: 19+27=46 Current State: 93:[69, 62, 46], Operations: ['19+27=46'] Exploring Operation: 69*62=4278, Resulting Numbers: [46, 4278] Generated Node #3: [46, 4278] from Operation: 69*62=4278 Current State: 93:[46, 4278], Operations: ['19+27=46', '69*62=4278'] Exploring Operation: 4278/46=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 6, 37, 41, 10 ]
94
[ "6+37=43", "41+10=51", "43+51=94" ]
Current State: 94:[6, 37, 41, 10], Operations: [] Exploring Operation: 6+37=43, Resulting Numbers: [41, 10, 43] Generated Node #2: [41, 10, 43] from Operation: 6+37=43 Current State: 94:[41, 10, 43], Operations: ['6+37=43'] Exploring Operation: 41+10=51, Resulting Numbers: [43, 51] Generated Node #3: [43, 51] from Operation: 41+10=51 Current State: 94:[43, 51], Operations: ['6+37=43', '41+10=51'] Exploring Operation: 43+51=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 8, 73, 22, 66 ]
49
[ "8*66=528", "528/22=24", "73-24=49" ]
Current State: 49:[8, 73, 22, 66], Operations: [] Exploring Operation: 8*66=528, Resulting Numbers: [73, 22, 528] Generated Node #2: [73, 22, 528] from Operation: 8*66=528 Current State: 49:[73, 22, 528], Operations: ['8*66=528'] Exploring Operation: 528/22=24, Resulting Numbers: [73, 24] Generated Node #3: [73, 24] from Operation: 528/22=24 Current State: 49:[73, 24], Operations: ['8*66=528', '528/22=24'] Exploring Operation: 73-24=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 34, 41, 50, 21 ]
53
[ "41-34=7", "21/7=3", "50+3=53" ]
Current State: 53:[34, 41, 50, 21], Operations: [] Exploring Operation: 41-34=7, Resulting Numbers: [50, 21, 7] Generated Node #2: [50, 21, 7] from Operation: 41-34=7 Current State: 53:[50, 21, 7], Operations: ['41-34=7'] Exploring Operation: 21/7=3, Resulting Numbers: [50, 3] Generated Node #3: [50, 3] from Operation: 21/7=3 Current State: 53:[50, 3], Operations: ['41-34=7', '21/7=3'] Exploring Operation: 50+3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 70, 61, 25, 77 ]
43
[ "70-61=9", "77-25=52", "52-9=43" ]
Current State: 43:[70, 61, 25, 77], Operations: [] Exploring Operation: 70-61=9, Resulting Numbers: [25, 77, 9] Generated Node #2: [25, 77, 9] from Operation: 70-61=9 Current State: 43:[25, 77, 9], Operations: ['70-61=9'] Exploring Operation: 77-25=52, Resulting Numbers: [9, 52] Generated Node #3: [9, 52] from Operation: 77-25=52 Current State: 43:[9, 52], Operations: ['70-61=9', '77-25=52'] Exploring Operation: 52-9=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 35, 60, 12, 18 ]
70
[ "35*60=2100", "12+18=30", "2100/30=70" ]
Current State: 70:[35, 60, 12, 18], Operations: [] Exploring Operation: 35*60=2100, Resulting Numbers: [12, 18, 2100] Generated Node #2: [12, 18, 2100] from Operation: 35*60=2100 Current State: 70:[12, 18, 2100], Operations: ['35*60=2100'] Exploring Operation: 12+18=30, Resulting Numbers: [2100, 30] Generated Node #3: [2100, 30] from Operation: 12+18=30 Current State: 70:[2100, 30], Operations: ['35*60=2100', '12+18=30'] Exploring Operation: 2100/30=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 48, 49, 65, 10 ]
80
[ "48*65=3120", "49-10=39", "3120/39=80" ]
Current State: 80:[48, 49, 65, 10], Operations: [] Exploring Operation: 48*65=3120, Resulting Numbers: [49, 10, 3120] Generated Node #2: [49, 10, 3120] from Operation: 48*65=3120 Current State: 80:[49, 10, 3120], Operations: ['48*65=3120'] Exploring Operation: 49-10=39, Resulting Numbers: [3120, 39] Generated Node #3: [3120, 39] from Operation: 49-10=39 Current State: 80:[3120, 39], Operations: ['48*65=3120', '49-10=39'] Exploring Operation: 3120/39=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 14, 52, 47, 17 ]
71
[ "14*52=728", "47*17=799", "799-728=71" ]
Current State: 71:[14, 52, 47, 17], Operations: [] Exploring Operation: 14*52=728, Resulting Numbers: [47, 17, 728] Generated Node #2: [47, 17, 728] from Operation: 14*52=728 Current State: 71:[47, 17, 728], Operations: ['14*52=728'] Exploring Operation: 47*17=799, Resulting Numbers: [728, 799] Generated Node #3: [728, 799] from Operation: 47*17=799 Current State: 71:[728, 799], Operations: ['14*52=728', '47*17=799'] Exploring Operation: 799-728=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 74, 93, 23, 7 ]
28
[ "93-74=19", "23-19=4", "7*4=28" ]
Current State: 28:[74, 93, 23, 7], Operations: [] Exploring Operation: 93-74=19, Resulting Numbers: [23, 7, 19] Generated Node #2: [23, 7, 19] from Operation: 93-74=19 Current State: 28:[23, 7, 19], Operations: ['93-74=19'] Exploring Operation: 23-19=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 23-19=4 Current State: 28:[7, 4], Operations: ['93-74=19', '23-19=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 94, 49, 20, 70 ]
95
[ "94-49=45", "70-20=50", "45+50=95" ]
Current State: 95:[94, 49, 20, 70], Operations: [] Exploring Operation: 94-49=45, Resulting Numbers: [20, 70, 45] Generated Node #2: [20, 70, 45] from Operation: 94-49=45 Current State: 95:[20, 70, 45], Operations: ['94-49=45'] Exploring Operation: 70-20=50, Resulting Numbers: [45, 50] Generated Node #3: [45, 50] from Operation: 70-20=50 Current State: 95:[45, 50], Operations: ['94-49=45', '70-20=50'] Exploring Operation: 45+50=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 44, 70, 46, 51 ]
31
[ "70-44=26", "51-46=5", "26+5=31" ]
Current State: 31:[44, 70, 46, 51], Operations: [] Exploring Operation: 70-44=26, Resulting Numbers: [46, 51, 26] Generated Node #2: [46, 51, 26] from Operation: 70-44=26 Current State: 31:[46, 51, 26], Operations: ['70-44=26'] Exploring Operation: 51-46=5, Resulting Numbers: [26, 5] Generated Node #3: [26, 5] from Operation: 51-46=5 Current State: 31:[26, 5], Operations: ['70-44=26', '51-46=5'] Exploring Operation: 26+5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 23, 70, 43, 43 ]
39
[ "70-23=47", "43+43=86", "86-47=39" ]
Current State: 39:[23, 70, 43, 43], Operations: [] Exploring Operation: 70-23=47, Resulting Numbers: [43, 43, 47] Generated Node #2: [43, 43, 47] from Operation: 70-23=47 Current State: 39:[43, 43, 47], Operations: ['70-23=47'] Exploring Operation: 43+43=86, Resulting Numbers: [47, 86] Generated Node #3: [47, 86] from Operation: 43+43=86 Current State: 39:[47, 86], Operations: ['70-23=47', '43+43=86'] Exploring Operation: 86-47=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 16, 83, 2, 55 ]
72
[ "83-55=28", "2*28=56", "16+56=72" ]
Current State: 72:[16, 83, 2, 55], Operations: [] Exploring Operation: 83-55=28, Resulting Numbers: [16, 2, 28] Generated Node #2: [16, 2, 28] from Operation: 83-55=28 Current State: 72:[16, 2, 28], Operations: ['83-55=28'] Exploring Operation: 2*28=56, Resulting Numbers: [16, 56] Generated Node #3: [16, 56] from Operation: 2*28=56 Current State: 72:[16, 56], Operations: ['83-55=28', '2*28=56'] Exploring Operation: 16+56=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 65, 37, 35, 42 ]
95
[ "65+37=102", "42-35=7", "102-7=95" ]
Current State: 95:[65, 37, 35, 42], Operations: [] Exploring Operation: 65+37=102, Resulting Numbers: [35, 42, 102] Generated Node #2: [35, 42, 102] from Operation: 65+37=102 Current State: 95:[35, 42, 102], Operations: ['65+37=102'] Exploring Operation: 42-35=7, Resulting Numbers: [102, 7] Generated Node #3: [102, 7] from Operation: 42-35=7 Current State: 95:[102, 7], Operations: ['65+37=102', '42-35=7'] Exploring Operation: 102-7=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 70, 47, 36, 13 ]
94
[ "70+47=117", "36-13=23", "117-23=94" ]
Current State: 94:[70, 47, 36, 13], Operations: [] Exploring Operation: 70+47=117, Resulting Numbers: [36, 13, 117] Generated Node #2: [36, 13, 117] from Operation: 70+47=117 Current State: 94:[36, 13, 117], Operations: ['70+47=117'] Exploring Operation: 36-13=23, Resulting Numbers: [117, 23] Generated Node #3: [117, 23] from Operation: 36-13=23 Current State: 94:[117, 23], Operations: ['70+47=117', '36-13=23'] Exploring Operation: 117-23=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 15, 34, 61, 63 ]
17
[ "34-15=19", "63-61=2", "19-2=17" ]
Current State: 17:[15, 34, 61, 63], Operations: [] Exploring Operation: 34-15=19, Resulting Numbers: [61, 63, 19] Generated Node #2: [61, 63, 19] from Operation: 34-15=19 Current State: 17:[61, 63, 19], Operations: ['34-15=19'] Exploring Operation: 63-61=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 63-61=2 Current State: 17:[19, 2], Operations: ['34-15=19', '63-61=2'] Exploring Operation: 19-2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 94, 1, 70, 90 ]
67
[ "94-1=93", "70+90=160", "160-93=67" ]
Current State: 67:[94, 1, 70, 90], Operations: [] Exploring Operation: 94-1=93, Resulting Numbers: [70, 90, 93] Generated Node #2: [70, 90, 93] from Operation: 94-1=93 Current State: 67:[70, 90, 93], Operations: ['94-1=93'] Exploring Operation: 70+90=160, Resulting Numbers: [93, 160] Generated Node #3: [93, 160] from Operation: 70+90=160 Current State: 67:[93, 160], Operations: ['94-1=93', '70+90=160'] Exploring Operation: 160-93=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 97, 38, 90, 69 ]
46
[ "97+38=135", "90*69=6210", "6210/135=46" ]
Current State: 46:[97, 38, 90, 69], Operations: [] Exploring Operation: 97+38=135, Resulting Numbers: [90, 69, 135] Generated Node #2: [90, 69, 135] from Operation: 97+38=135 Current State: 46:[90, 69, 135], Operations: ['97+38=135'] Exploring Operation: 90*69=6210, Resulting Numbers: [135, 6210] Generated Node #3: [135, 6210] from Operation: 90*69=6210 Current State: 46:[135, 6210], Operations: ['97+38=135', '90*69=6210'] Exploring Operation: 6210/135=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 39, 15, 10, 4 ]
56
[ "39-15=24", "24-10=14", "4*14=56" ]
Current State: 56:[39, 15, 10, 4], Operations: [] Exploring Operation: 39-15=24, Resulting Numbers: [10, 4, 24] Generated Node #2: [10, 4, 24] from Operation: 39-15=24 Current State: 56:[10, 4, 24], Operations: ['39-15=24'] Exploring Operation: 24-10=14, Resulting Numbers: [4, 14] Generated Node #3: [4, 14] from Operation: 24-10=14 Current State: 56:[4, 14], Operations: ['39-15=24', '24-10=14'] Exploring Operation: 4*14=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 71, 74, 87, 12 ]
71
[ "87-74=13", "13-12=1", "71*1=71" ]
Current State: 71:[71, 74, 87, 12], Operations: [] Exploring Operation: 87-74=13, Resulting Numbers: [71, 12, 13] Generated Node #2: [71, 12, 13] from Operation: 87-74=13 Current State: 71:[71, 12, 13], Operations: ['87-74=13'] Exploring Operation: 13-12=1, Resulting Numbers: [71, 1] Generated Node #3: [71, 1] from Operation: 13-12=1 Current State: 71:[71, 1], Operations: ['87-74=13', '13-12=1'] Exploring Operation: 71*1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 18, 70, 66, 45 ]
94
[ "18*70=1260", "1260/45=28", "66+28=94" ]
Current State: 94:[18, 70, 66, 45], Operations: [] Exploring Operation: 18*70=1260, Resulting Numbers: [66, 45, 1260] Generated Node #2: [66, 45, 1260] from Operation: 18*70=1260 Current State: 94:[66, 45, 1260], Operations: ['18*70=1260'] Exploring Operation: 1260/45=28, Resulting Numbers: [66, 28] Generated Node #3: [66, 28] from Operation: 1260/45=28 Current State: 94:[66, 28], Operations: ['18*70=1260', '1260/45=28'] Exploring Operation: 66+28=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 14, 65, 56, 66 ]
71
[ "65-14=51", "56+66=122", "122-51=71" ]
Current State: 71:[14, 65, 56, 66], Operations: [] Exploring Operation: 65-14=51, Resulting Numbers: [56, 66, 51] Generated Node #2: [56, 66, 51] from Operation: 65-14=51 Current State: 71:[56, 66, 51], Operations: ['65-14=51'] Exploring Operation: 56+66=122, Resulting Numbers: [51, 122] Generated Node #3: [51, 122] from Operation: 56+66=122 Current State: 71:[51, 122], Operations: ['65-14=51', '56+66=122'] Exploring Operation: 122-51=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 32, 56, 5, 59 ]
58
[ "5+59=64", "64/32=2", "56+2=58" ]
Current State: 58:[32, 56, 5, 59], Operations: [] Exploring Operation: 5+59=64, Resulting Numbers: [32, 56, 64] Generated Node #2: [32, 56, 64] from Operation: 5+59=64 Current State: 58:[32, 56, 64], Operations: ['5+59=64'] Exploring Operation: 64/32=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 64/32=2 Current State: 58:[56, 2], Operations: ['5+59=64', '64/32=2'] Exploring Operation: 56+2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 33, 57, 42, 63 ]
16
[ "57-33=24", "42*24=1008", "1008/63=16" ]
Current State: 16:[33, 57, 42, 63], Operations: [] Exploring Operation: 57-33=24, Resulting Numbers: [42, 63, 24] Generated Node #2: [42, 63, 24] from Operation: 57-33=24 Current State: 16:[42, 63, 24], Operations: ['57-33=24'] Exploring Operation: 42*24=1008, Resulting Numbers: [63, 1008] Generated Node #3: [63, 1008] from Operation: 42*24=1008 Current State: 16:[63, 1008], Operations: ['57-33=24', '42*24=1008'] Exploring Operation: 1008/63=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 12, 90, 42, 67 ]
77
[ "12+90=102", "67-42=25", "102-25=77" ]
Current State: 77:[12, 90, 42, 67], Operations: [] Exploring Operation: 12+90=102, Resulting Numbers: [42, 67, 102] Generated Node #2: [42, 67, 102] from Operation: 12+90=102 Current State: 77:[42, 67, 102], Operations: ['12+90=102'] Exploring Operation: 67-42=25, Resulting Numbers: [102, 25] Generated Node #3: [102, 25] from Operation: 67-42=25 Current State: 77:[102, 25], Operations: ['12+90=102', '67-42=25'] Exploring Operation: 102-25=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 19, 12, 71, 94 ]
48
[ "19+71=90", "94-90=4", "12*4=48" ]
Current State: 48:[19, 12, 71, 94], Operations: [] Exploring Operation: 19+71=90, Resulting Numbers: [12, 94, 90] Generated Node #2: [12, 94, 90] from Operation: 19+71=90 Current State: 48:[12, 94, 90], Operations: ['19+71=90'] Exploring Operation: 94-90=4, Resulting Numbers: [12, 4] Generated Node #3: [12, 4] from Operation: 94-90=4 Current State: 48:[12, 4], Operations: ['19+71=90', '94-90=4'] Exploring Operation: 12*4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 25, 30, 10, 65 ]
53
[ "30*10=300", "300/25=12", "65-12=53" ]
Current State: 53:[25, 30, 10, 65], Operations: [] Exploring Operation: 30*10=300, Resulting Numbers: [25, 65, 300] Generated Node #2: [25, 65, 300] from Operation: 30*10=300 Current State: 53:[25, 65, 300], Operations: ['30*10=300'] Exploring Operation: 300/25=12, Resulting Numbers: [65, 12] Generated Node #3: [65, 12] from Operation: 300/25=12 Current State: 53:[65, 12], Operations: ['30*10=300', '300/25=12'] Exploring Operation: 65-12=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 35, 76, 49, 3 ]
34
[ "49-35=14", "3*14=42", "76-42=34" ]
Current State: 34:[35, 76, 49, 3], Operations: [] Exploring Operation: 49-35=14, Resulting Numbers: [76, 3, 14] Generated Node #2: [76, 3, 14] from Operation: 49-35=14 Current State: 34:[76, 3, 14], Operations: ['49-35=14'] Exploring Operation: 3*14=42, Resulting Numbers: [76, 42] Generated Node #3: [76, 42] from Operation: 3*14=42 Current State: 34:[76, 42], Operations: ['49-35=14', '3*14=42'] Exploring Operation: 76-42=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 14, 26, 69, 63 ]
18
[ "26-14=12", "69-63=6", "12+6=18" ]
Current State: 18:[14, 26, 69, 63], Operations: [] Exploring Operation: 26-14=12, Resulting Numbers: [69, 63, 12] Generated Node #2: [69, 63, 12] from Operation: 26-14=12 Current State: 18:[69, 63, 12], Operations: ['26-14=12'] Exploring Operation: 69-63=6, Resulting Numbers: [12, 6] Generated Node #3: [12, 6] from Operation: 69-63=6 Current State: 18:[12, 6], Operations: ['26-14=12', '69-63=6'] Exploring Operation: 12+6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 3, 71, 72, 37 ]
34
[ "37-3=34", "72-71=1", "34*1=34" ]
Current State: 34:[3, 71, 72, 37], Operations: [] Exploring Operation: 37-3=34, Resulting Numbers: [71, 72, 34] Generated Node #2: [71, 72, 34] from Operation: 37-3=34 Current State: 34:[71, 72, 34], Operations: ['37-3=34'] Exploring Operation: 72-71=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 72-71=1 Current State: 34:[34, 1], Operations: ['37-3=34', '72-71=1'] Exploring Operation: 34*1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 19, 93, 73, 91 ]
93
[ "19+73=92", "92-91=1", "93*1=93" ]
Current State: 93:[19, 93, 73, 91], Operations: [] Exploring Operation: 19+73=92, Resulting Numbers: [93, 91, 92] Generated Node #2: [93, 91, 92] from Operation: 19+73=92 Current State: 93:[93, 91, 92], Operations: ['19+73=92'] Exploring Operation: 92-91=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 92-91=1 Current State: 93:[93, 1], Operations: ['19+73=92', '92-91=1'] Exploring Operation: 93*1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 60, 84, 35, 6 ]
65
[ "84-60=24", "35+6=41", "24+41=65" ]
Current State: 65:[60, 84, 35, 6], Operations: [] Exploring Operation: 84-60=24, Resulting Numbers: [35, 6, 24] Generated Node #2: [35, 6, 24] from Operation: 84-60=24 Current State: 65:[35, 6, 24], Operations: ['84-60=24'] Exploring Operation: 35+6=41, Resulting Numbers: [24, 41] Generated Node #3: [24, 41] from Operation: 35+6=41 Current State: 65:[24, 41], Operations: ['84-60=24', '35+6=41'] Exploring Operation: 24+41=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 55, 64, 64, 2 ]
75
[ "64-55=9", "64+2=66", "9+66=75" ]
Current State: 75:[55, 64, 64, 2], Operations: [] Exploring Operation: 64-55=9, Resulting Numbers: [2, 9] Generated Node #2: [2, 9] from Operation: 64-55=9 Current State: 75:[2, 9], Operations: ['64-55=9'] Exploring Operation: 64+2=66, Resulting Numbers: [9, 66] Generated Node #3: [9, 66] from Operation: 64+2=66 Current State: 75:[9, 66], Operations: ['64-55=9', '64+2=66'] Exploring Operation: 9+66=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 33, 29, 26, 29 ]
60
[ "33+26=59", "29/29=1", "59+1=60" ]
Current State: 60:[33, 29, 26, 29], Operations: [] Exploring Operation: 33+26=59, Resulting Numbers: [29, 29, 59] Generated Node #2: [29, 29, 59] from Operation: 33+26=59 Current State: 60:[29, 29, 59], Operations: ['33+26=59'] Exploring Operation: 29/29=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 29/29=1 Current State: 60:[59, 1], Operations: ['33+26=59', '29/29=1'] Exploring Operation: 59+1=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 35, 6, 21, 96 ]
88
[ "35-6=29", "21+96=117", "117-29=88" ]
Current State: 88:[35, 6, 21, 96], Operations: [] Exploring Operation: 35-6=29, Resulting Numbers: [21, 96, 29] Generated Node #2: [21, 96, 29] from Operation: 35-6=29 Current State: 88:[21, 96, 29], Operations: ['35-6=29'] Exploring Operation: 21+96=117, Resulting Numbers: [29, 117] Generated Node #3: [29, 117] from Operation: 21+96=117 Current State: 88:[29, 117], Operations: ['35-6=29', '21+96=117'] Exploring Operation: 117-29=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 13, 56, 59, 56 ]
59
[ "56-56=0", "13*0=0", "59+0=59" ]
Current State: 59:[13, 56, 59, 56], Operations: [] Exploring Operation: 56-56=0, Resulting Numbers: [13, 59, 0] Generated Node #2: [13, 59, 0] from Operation: 56-56=0 Current State: 59:[13, 59, 0], Operations: ['56-56=0'] Exploring Operation: 13*0=0, Resulting Numbers: [59, 0] Generated Node #3: [59, 0] from Operation: 13*0=0 Current State: 59:[59, 0], Operations: ['56-56=0', '13*0=0'] Exploring Operation: 59+0=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 67, 16, 50, 12 ]
75
[ "67+50=117", "16*12=192", "192-117=75" ]
Current State: 75:[67, 16, 50, 12], Operations: [] Exploring Operation: 67+50=117, Resulting Numbers: [16, 12, 117] Generated Node #2: [16, 12, 117] from Operation: 67+50=117 Current State: 75:[16, 12, 117], Operations: ['67+50=117'] Exploring Operation: 16*12=192, Resulting Numbers: [117, 192] Generated Node #3: [117, 192] from Operation: 16*12=192 Current State: 75:[117, 192], Operations: ['67+50=117', '16*12=192'] Exploring Operation: 192-117=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 19, 78, 78, 54 ]
73
[ "19+78=97", "78-54=24", "97-24=73" ]
Current State: 73:[19, 78, 78, 54], Operations: [] Exploring Operation: 19+78=97, Resulting Numbers: [54, 97] Generated Node #2: [54, 97] from Operation: 19+78=97 Current State: 73:[54, 97], Operations: ['19+78=97'] Exploring Operation: 78-54=24, Resulting Numbers: [97, 24] Generated Node #3: [97, 24] from Operation: 78-54=24 Current State: 73:[97, 24], Operations: ['19+78=97', '78-54=24'] Exploring Operation: 97-24=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 36, 29, 19, 62 ]
71
[ "36-29=7", "19*7=133", "133-62=71" ]
Current State: 71:[36, 29, 19, 62], Operations: [] Exploring Operation: 36-29=7, Resulting Numbers: [19, 62, 7] Generated Node #2: [19, 62, 7] from Operation: 36-29=7 Current State: 71:[19, 62, 7], Operations: ['36-29=7'] Exploring Operation: 19*7=133, Resulting Numbers: [62, 133] Generated Node #3: [62, 133] from Operation: 19*7=133 Current State: 71:[62, 133], Operations: ['36-29=7', '19*7=133'] Exploring Operation: 133-62=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 82, 1, 69, 2 ]
13
[ "82-69=13", "2-1=1", "13*1=13" ]
Current State: 13:[82, 1, 69, 2], Operations: [] Exploring Operation: 82-69=13, Resulting Numbers: [1, 2, 13] Generated Node #2: [1, 2, 13] from Operation: 82-69=13 Current State: 13:[1, 2, 13], Operations: ['82-69=13'] Exploring Operation: 2-1=1, Resulting Numbers: [13, 1] Generated Node #3: [13, 1] from Operation: 2-1=1 Current State: 13:[13, 1], Operations: ['82-69=13', '2-1=1'] Exploring Operation: 13*1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 40, 41, 80, 31 ]
30
[ "40+41=81", "80+31=111", "111-81=30" ]
Current State: 30:[40, 41, 80, 31], Operations: [] Exploring Operation: 40+41=81, Resulting Numbers: [80, 31, 81] Generated Node #2: [80, 31, 81] from Operation: 40+41=81 Current State: 30:[80, 31, 81], Operations: ['40+41=81'] Exploring Operation: 80+31=111, Resulting Numbers: [81, 111] Generated Node #3: [81, 111] from Operation: 80+31=111 Current State: 30:[81, 111], Operations: ['40+41=81', '80+31=111'] Exploring Operation: 111-81=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 10, 56, 16, 86 ]
36
[ "10+56=66", "16+86=102", "102-66=36" ]
Current State: 36:[10, 56, 16, 86], Operations: [] Exploring Operation: 10+56=66, Resulting Numbers: [16, 86, 66] Generated Node #2: [16, 86, 66] from Operation: 10+56=66 Current State: 36:[16, 86, 66], Operations: ['10+56=66'] Exploring Operation: 16+86=102, Resulting Numbers: [66, 102] Generated Node #3: [66, 102] from Operation: 16+86=102 Current State: 36:[66, 102], Operations: ['10+56=66', '16+86=102'] Exploring Operation: 102-66=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 58, 66, 26, 74 ]
76
[ "58+66=124", "74-26=48", "124-48=76" ]
Current State: 76:[58, 66, 26, 74], Operations: [] Exploring Operation: 58+66=124, Resulting Numbers: [26, 74, 124] Generated Node #2: [26, 74, 124] from Operation: 58+66=124 Current State: 76:[26, 74, 124], Operations: ['58+66=124'] Exploring Operation: 74-26=48, Resulting Numbers: [124, 48] Generated Node #3: [124, 48] from Operation: 74-26=48 Current State: 76:[124, 48], Operations: ['58+66=124', '74-26=48'] Exploring Operation: 124-48=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 66, 57, 29, 38 ]
18
[ "66-57=9", "38-29=9", "9+9=18" ]
Current State: 18:[66, 57, 29, 38], Operations: [] Exploring Operation: 66-57=9, Resulting Numbers: [29, 38, 9] Generated Node #2: [29, 38, 9] from Operation: 66-57=9 Current State: 18:[29, 38, 9], Operations: ['66-57=9'] Exploring Operation: 38-29=9, Resulting Numbers: [9, 9] Generated Node #3: [9, 9] from Operation: 38-29=9 Current State: 18:[9, 9], Operations: ['66-57=9', '38-29=9'] Exploring Operation: 9+9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 40, 91, 10, 65 ]
56
[ "40+91=131", "10+65=75", "131-75=56" ]
Current State: 56:[40, 91, 10, 65], Operations: [] Exploring Operation: 40+91=131, Resulting Numbers: [10, 65, 131] Generated Node #2: [10, 65, 131] from Operation: 40+91=131 Current State: 56:[10, 65, 131], Operations: ['40+91=131'] Exploring Operation: 10+65=75, Resulting Numbers: [131, 75] Generated Node #3: [131, 75] from Operation: 10+65=75 Current State: 56:[131, 75], Operations: ['40+91=131', '10+65=75'] Exploring Operation: 131-75=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 71, 23, 82, 28 ]
62
[ "71-23=48", "82+28=110", "110-48=62" ]
Current State: 62:[71, 23, 82, 28], Operations: [] Exploring Operation: 71-23=48, Resulting Numbers: [82, 28, 48] Generated Node #2: [82, 28, 48] from Operation: 71-23=48 Current State: 62:[82, 28, 48], Operations: ['71-23=48'] Exploring Operation: 82+28=110, Resulting Numbers: [48, 110] Generated Node #3: [48, 110] from Operation: 82+28=110 Current State: 62:[48, 110], Operations: ['71-23=48', '82+28=110'] Exploring Operation: 110-48=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 53, 26, 90, 14 ]
49
[ "53-26=27", "90-14=76", "76-27=49" ]
Current State: 49:[53, 26, 90, 14], Operations: [] Exploring Operation: 53-26=27, Resulting Numbers: [90, 14, 27] Generated Node #2: [90, 14, 27] from Operation: 53-26=27 Current State: 49:[90, 14, 27], Operations: ['53-26=27'] Exploring Operation: 90-14=76, Resulting Numbers: [27, 76] Generated Node #3: [27, 76] from Operation: 90-14=76 Current State: 49:[27, 76], Operations: ['53-26=27', '90-14=76'] Exploring Operation: 76-27=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 44, 95, 14, 17 ]
37
[ "17-14=3", "44*3=132", "132-95=37" ]
Current State: 37:[44, 95, 14, 17], Operations: [] Exploring Operation: 17-14=3, Resulting Numbers: [44, 95, 3] Generated Node #2: [44, 95, 3] from Operation: 17-14=3 Current State: 37:[44, 95, 3], Operations: ['17-14=3'] Exploring Operation: 44*3=132, Resulting Numbers: [95, 132] Generated Node #3: [95, 132] from Operation: 44*3=132 Current State: 37:[95, 132], Operations: ['17-14=3', '44*3=132'] Exploring Operation: 132-95=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 84, 48, 34, 76 ]
37
[ "76-48=28", "84/28=3", "34+3=37" ]
Current State: 37:[84, 48, 34, 76], Operations: [] Exploring Operation: 76-48=28, Resulting Numbers: [84, 34, 28] Generated Node #2: [84, 34, 28] from Operation: 76-48=28 Current State: 37:[84, 34, 28], Operations: ['76-48=28'] Exploring Operation: 84/28=3, Resulting Numbers: [34, 3] Generated Node #3: [34, 3] from Operation: 84/28=3 Current State: 37:[34, 3], Operations: ['76-48=28', '84/28=3'] Exploring Operation: 34+3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 93, 63, 69, 89 ]
24
[ "93-89=4", "69-63=6", "4*6=24" ]
Current State: 24:[93, 63, 69, 89], Operations: [] Exploring Operation: 93-89=4, Resulting Numbers: [63, 69, 4] Generated Node #2: [63, 69, 4] from Operation: 93-89=4 Current State: 24:[63, 69, 4], Operations: ['93-89=4'] Exploring Operation: 69-63=6, Resulting Numbers: [4, 6] Generated Node #3: [4, 6] from Operation: 69-63=6 Current State: 24:[4, 6], Operations: ['93-89=4', '69-63=6'] Exploring Operation: 4*6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 34, 21, 7, 4 ]
63
[ "34-21=13", "13-4=9", "7*9=63" ]
Current State: 63:[34, 21, 7, 4], Operations: [] Exploring Operation: 34-21=13, Resulting Numbers: [7, 4, 13] Generated Node #2: [7, 4, 13] from Operation: 34-21=13 Current State: 63:[7, 4, 13], Operations: ['34-21=13'] Exploring Operation: 13-4=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 13-4=9 Current State: 63:[7, 9], Operations: ['34-21=13', '13-4=9'] Exploring Operation: 7*9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 6, 18, 46, 1 ]
34
[ "18-6=12", "46*1=46", "46-12=34" ]
Current State: 34:[6, 18, 46, 1], Operations: [] Exploring Operation: 18-6=12, Resulting Numbers: [46, 1, 12] Generated Node #2: [46, 1, 12] from Operation: 18-6=12 Current State: 34:[46, 1, 12], Operations: ['18-6=12'] Exploring Operation: 46*1=46, Resulting Numbers: [12, 46] Generated Node #3: [12, 46] from Operation: 46*1=46 Current State: 34:[12, 46], Operations: ['18-6=12', '46*1=46'] Exploring Operation: 46-12=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 90, 60, 66, 18 ]
78
[ "90-60=30", "66-18=48", "30+48=78" ]
Current State: 78:[90, 60, 66, 18], Operations: [] Exploring Operation: 90-60=30, Resulting Numbers: [66, 18, 30] Generated Node #2: [66, 18, 30] from Operation: 90-60=30 Current State: 78:[66, 18, 30], Operations: ['90-60=30'] Exploring Operation: 66-18=48, Resulting Numbers: [30, 48] Generated Node #3: [30, 48] from Operation: 66-18=48 Current State: 78:[30, 48], Operations: ['90-60=30', '66-18=48'] Exploring Operation: 30+48=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 96, 26, 49, 92 ]
27
[ "96-26=70", "92-49=43", "70-43=27" ]
Current State: 27:[96, 26, 49, 92], Operations: [] Exploring Operation: 96-26=70, Resulting Numbers: [49, 92, 70] Generated Node #2: [49, 92, 70] from Operation: 96-26=70 Current State: 27:[49, 92, 70], Operations: ['96-26=70'] Exploring Operation: 92-49=43, Resulting Numbers: [70, 43] Generated Node #3: [70, 43] from Operation: 92-49=43 Current State: 27:[70, 43], Operations: ['96-26=70', '92-49=43'] Exploring Operation: 70-43=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 86, 44, 1, 65 ]
67
[ "44-1=43", "86/43=2", "65+2=67" ]
Current State: 67:[86, 44, 1, 65], Operations: [] Exploring Operation: 44-1=43, Resulting Numbers: [86, 65, 43] Generated Node #2: [86, 65, 43] from Operation: 44-1=43 Current State: 67:[86, 65, 43], Operations: ['44-1=43'] Exploring Operation: 86/43=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 86/43=2 Current State: 67:[65, 2], Operations: ['44-1=43', '86/43=2'] Exploring Operation: 65+2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 73, 52, 46, 31 ]
56
[ "73-52=21", "46+31=77", "77-21=56" ]
Current State: 56:[73, 52, 46, 31], Operations: [] Exploring Operation: 73-52=21, Resulting Numbers: [46, 31, 21] Generated Node #2: [46, 31, 21] from Operation: 73-52=21 Current State: 56:[46, 31, 21], Operations: ['73-52=21'] Exploring Operation: 46+31=77, Resulting Numbers: [21, 77] Generated Node #3: [21, 77] from Operation: 46+31=77 Current State: 56:[21, 77], Operations: ['73-52=21', '46+31=77'] Exploring Operation: 77-21=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 28, 54, 9, 49 ]
71
[ "28+49=77", "54/9=6", "77-6=71" ]
Current State: 71:[28, 54, 9, 49], Operations: [] Exploring Operation: 28+49=77, Resulting Numbers: [54, 9, 77] Generated Node #2: [54, 9, 77] from Operation: 28+49=77 Current State: 71:[54, 9, 77], Operations: ['28+49=77'] Exploring Operation: 54/9=6, Resulting Numbers: [77, 6] Generated Node #3: [77, 6] from Operation: 54/9=6 Current State: 71:[77, 6], Operations: ['28+49=77', '54/9=6'] Exploring Operation: 77-6=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 67, 21, 50, 58 ]
96
[ "67+21=88", "58-50=8", "88+8=96" ]
Current State: 96:[67, 21, 50, 58], Operations: [] Exploring Operation: 67+21=88, Resulting Numbers: [50, 58, 88] Generated Node #2: [50, 58, 88] from Operation: 67+21=88 Current State: 96:[50, 58, 88], Operations: ['67+21=88'] Exploring Operation: 58-50=8, Resulting Numbers: [88, 8] Generated Node #3: [88, 8] from Operation: 58-50=8 Current State: 96:[88, 8], Operations: ['67+21=88', '58-50=8'] Exploring Operation: 88+8=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 40, 90, 45, 54 ]
35
[ "40*45=1800", "90+1800=1890", "1890/54=35" ]
Current State: 35:[40, 90, 45, 54], Operations: [] Exploring Operation: 40*45=1800, Resulting Numbers: [90, 54, 1800] Generated Node #2: [90, 54, 1800] from Operation: 40*45=1800 Current State: 35:[90, 54, 1800], Operations: ['40*45=1800'] Exploring Operation: 90+1800=1890, Resulting Numbers: [54, 1890] Generated Node #3: [54, 1890] from Operation: 90+1800=1890 Current State: 35:[54, 1890], Operations: ['40*45=1800', '90+1800=1890'] Exploring Operation: 1890/54=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 79, 8, 54, 95 ]
78
[ "79-8=71", "54+95=149", "149-71=78" ]
Current State: 78:[79, 8, 54, 95], Operations: [] Exploring Operation: 79-8=71, Resulting Numbers: [54, 95, 71] Generated Node #2: [54, 95, 71] from Operation: 79-8=71 Current State: 78:[54, 95, 71], Operations: ['79-8=71'] Exploring Operation: 54+95=149, Resulting Numbers: [71, 149] Generated Node #3: [71, 149] from Operation: 54+95=149 Current State: 78:[71, 149], Operations: ['79-8=71', '54+95=149'] Exploring Operation: 149-71=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 78, 11, 78, 86 ]
96
[ "78/78=1", "11+86=97", "97-1=96" ]
Current State: 96:[78, 11, 78, 86], Operations: [] Exploring Operation: 78/78=1, Resulting Numbers: [11, 86, 1] Generated Node #2: [11, 86, 1] from Operation: 78/78=1 Current State: 96:[11, 86, 1], Operations: ['78/78=1'] Exploring Operation: 11+86=97, Resulting Numbers: [1, 97] Generated Node #3: [1, 97] from Operation: 11+86=97 Current State: 96:[1, 97], Operations: ['78/78=1', '11+86=97'] Exploring Operation: 97-1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 73, 19, 53, 68 ]
71
[ "53-19=34", "68/34=2", "73-2=71" ]
Current State: 71:[73, 19, 53, 68], Operations: [] Exploring Operation: 53-19=34, Resulting Numbers: [73, 68, 34] Generated Node #2: [73, 68, 34] from Operation: 53-19=34 Current State: 71:[73, 68, 34], Operations: ['53-19=34'] Exploring Operation: 68/34=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 68/34=2 Current State: 71:[73, 2], Operations: ['53-19=34', '68/34=2'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 78, 88, 94, 97 ]
25
[ "78+88=166", "94+97=191", "191-166=25" ]
Current State: 25:[78, 88, 94, 97], Operations: [] Exploring Operation: 78+88=166, Resulting Numbers: [94, 97, 166] Generated Node #2: [94, 97, 166] from Operation: 78+88=166 Current State: 25:[94, 97, 166], Operations: ['78+88=166'] Exploring Operation: 94+97=191, Resulting Numbers: [166, 191] Generated Node #3: [166, 191] from Operation: 94+97=191 Current State: 25:[166, 191], Operations: ['78+88=166', '94+97=191'] Exploring Operation: 191-166=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 35, 88, 16, 69 ]
12
[ "35+88=123", "69+123=192", "192/16=12" ]
Current State: 12:[35, 88, 16, 69], Operations: [] Exploring Operation: 35+88=123, Resulting Numbers: [16, 69, 123] Generated Node #2: [16, 69, 123] from Operation: 35+88=123 Current State: 12:[16, 69, 123], Operations: ['35+88=123'] Exploring Operation: 69+123=192, Resulting Numbers: [16, 192] Generated Node #3: [16, 192] from Operation: 69+123=192 Current State: 12:[16, 192], Operations: ['35+88=123', '69+123=192'] Exploring Operation: 192/16=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 18, 37, 37, 16 ]
74
[ "18*37=666", "37*16=592", "666-592=74" ]
Current State: 74:[18, 37, 37, 16], Operations: [] Exploring Operation: 18*37=666, Resulting Numbers: [16, 666] Generated Node #2: [16, 666] from Operation: 18*37=666 Current State: 74:[16, 666], Operations: ['18*37=666'] Exploring Operation: 37*16=592, Resulting Numbers: [666, 592] Generated Node #3: [666, 592] from Operation: 37*16=592 Current State: 74:[666, 592], Operations: ['18*37=666', '37*16=592'] Exploring Operation: 666-592=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 72, 13, 17, 90 ]
59
[ "72+90=162", "13*17=221", "221-162=59" ]
Current State: 59:[72, 13, 17, 90], Operations: [] Exploring Operation: 72+90=162, Resulting Numbers: [13, 17, 162] Generated Node #2: [13, 17, 162] from Operation: 72+90=162 Current State: 59:[13, 17, 162], Operations: ['72+90=162'] Exploring Operation: 13*17=221, Resulting Numbers: [162, 221] Generated Node #3: [162, 221] from Operation: 13*17=221 Current State: 59:[162, 221], Operations: ['72+90=162', '13*17=221'] Exploring Operation: 221-162=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 80, 88, 7, 76 ]
91
[ "88-80=8", "7+76=83", "8+83=91" ]
Current State: 91:[80, 88, 7, 76], Operations: [] Exploring Operation: 88-80=8, Resulting Numbers: [7, 76, 8] Generated Node #2: [7, 76, 8] from Operation: 88-80=8 Current State: 91:[7, 76, 8], Operations: ['88-80=8'] Exploring Operation: 7+76=83, Resulting Numbers: [8, 83] Generated Node #3: [8, 83] from Operation: 7+76=83 Current State: 91:[8, 83], Operations: ['88-80=8', '7+76=83'] Exploring Operation: 8+83=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 53, 57, 12, 76 ]
84
[ "57-53=4", "12+76=88", "88-4=84" ]
Current State: 84:[53, 57, 12, 76], Operations: [] Exploring Operation: 57-53=4, Resulting Numbers: [12, 76, 4] Generated Node #2: [12, 76, 4] from Operation: 57-53=4 Current State: 84:[12, 76, 4], Operations: ['57-53=4'] Exploring Operation: 12+76=88, Resulting Numbers: [4, 88] Generated Node #3: [4, 88] from Operation: 12+76=88 Current State: 84:[4, 88], Operations: ['57-53=4', '12+76=88'] Exploring Operation: 88-4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 39, 2, 1, 10 ]
23
[ "2+1=3", "39/3=13", "10+13=23" ]
Current State: 23:[39, 2, 1, 10], Operations: [] Exploring Operation: 2+1=3, Resulting Numbers: [39, 10, 3] Generated Node #2: [39, 10, 3] from Operation: 2+1=3 Current State: 23:[39, 10, 3], Operations: ['2+1=3'] Exploring Operation: 39/3=13, Resulting Numbers: [10, 13] Generated Node #3: [10, 13] from Operation: 39/3=13 Current State: 23:[10, 13], Operations: ['2+1=3', '39/3=13'] Exploring Operation: 10+13=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 34, 14, 32, 8 ]
22
[ "14*32=448", "448/8=56", "56-34=22" ]
Current State: 22:[34, 14, 32, 8], Operations: [] Exploring Operation: 14*32=448, Resulting Numbers: [34, 8, 448] Generated Node #2: [34, 8, 448] from Operation: 14*32=448 Current State: 22:[34, 8, 448], Operations: ['14*32=448'] Exploring Operation: 448/8=56, Resulting Numbers: [34, 56] Generated Node #3: [34, 56] from Operation: 448/8=56 Current State: 22:[34, 56], Operations: ['14*32=448', '448/8=56'] Exploring Operation: 56-34=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 88, 87, 96, 85 ]
52
[ "87-85=2", "88/2=44", "96-44=52" ]
Current State: 52:[88, 87, 96, 85], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [88, 96, 2] Generated Node #2: [88, 96, 2] from Operation: 87-85=2 Current State: 52:[88, 96, 2], Operations: ['87-85=2'] Exploring Operation: 88/2=44, Resulting Numbers: [96, 44] Generated Node #3: [96, 44] from Operation: 88/2=44 Current State: 52:[96, 44], Operations: ['87-85=2', '88/2=44'] Exploring Operation: 96-44=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 23, 24, 7, 29 ]
23
[ "24-23=1", "29-7=22", "1+22=23" ]
Current State: 23:[23, 24, 7, 29], Operations: [] Exploring Operation: 24-23=1, Resulting Numbers: [7, 29, 1] Generated Node #2: [7, 29, 1] from Operation: 24-23=1 Current State: 23:[7, 29, 1], Operations: ['24-23=1'] Exploring Operation: 29-7=22, Resulting Numbers: [1, 22] Generated Node #3: [1, 22] from Operation: 29-7=22 Current State: 23:[1, 22], Operations: ['24-23=1', '29-7=22'] Exploring Operation: 1+22=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 52, 29, 54, 77 ]
50
[ "52+29=81", "54+77=131", "131-81=50" ]
Current State: 50:[52, 29, 54, 77], Operations: [] Exploring Operation: 52+29=81, Resulting Numbers: [54, 77, 81] Generated Node #2: [54, 77, 81] from Operation: 52+29=81 Current State: 50:[54, 77, 81], Operations: ['52+29=81'] Exploring Operation: 54+77=131, Resulting Numbers: [81, 131] Generated Node #3: [81, 131] from Operation: 54+77=131 Current State: 50:[81, 131], Operations: ['52+29=81', '54+77=131'] Exploring Operation: 131-81=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 22, 92, 4, 93 ]
18
[ "22-4=18", "93-92=1", "18*1=18" ]
Current State: 18:[22, 92, 4, 93], Operations: [] Exploring Operation: 22-4=18, Resulting Numbers: [92, 93, 18] Generated Node #2: [92, 93, 18] from Operation: 22-4=18 Current State: 18:[92, 93, 18], Operations: ['22-4=18'] Exploring Operation: 93-92=1, Resulting Numbers: [18, 1] Generated Node #3: [18, 1] from Operation: 93-92=1 Current State: 18:[18, 1], Operations: ['22-4=18', '93-92=1'] Exploring Operation: 18*1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 82, 85, 46, 67 ]
71
[ "85-82=3", "46*3=138", "138-67=71" ]
Current State: 71:[82, 85, 46, 67], Operations: [] Exploring Operation: 85-82=3, Resulting Numbers: [46, 67, 3] Generated Node #2: [46, 67, 3] from Operation: 85-82=3 Current State: 71:[46, 67, 3], Operations: ['85-82=3'] Exploring Operation: 46*3=138, Resulting Numbers: [67, 138] Generated Node #3: [67, 138] from Operation: 46*3=138 Current State: 71:[67, 138], Operations: ['85-82=3', '46*3=138'] Exploring Operation: 138-67=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 52, 2, 88, 53 ]
34
[ "52+88=140", "2*53=106", "140-106=34" ]
Current State: 34:[52, 2, 88, 53], Operations: [] Exploring Operation: 52+88=140, Resulting Numbers: [2, 53, 140] Generated Node #2: [2, 53, 140] from Operation: 52+88=140 Current State: 34:[2, 53, 140], Operations: ['52+88=140'] Exploring Operation: 2*53=106, Resulting Numbers: [140, 106] Generated Node #3: [140, 106] from Operation: 2*53=106 Current State: 34:[140, 106], Operations: ['52+88=140', '2*53=106'] Exploring Operation: 140-106=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 81, 65, 41, 44 ]
92
[ "44-41=3", "81/3=27", "65+27=92" ]
Current State: 92:[81, 65, 41, 44], Operations: [] Exploring Operation: 44-41=3, Resulting Numbers: [81, 65, 3] Generated Node #2: [81, 65, 3] from Operation: 44-41=3 Current State: 92:[81, 65, 3], Operations: ['44-41=3'] Exploring Operation: 81/3=27, Resulting Numbers: [65, 27] Generated Node #3: [65, 27] from Operation: 81/3=27 Current State: 92:[65, 27], Operations: ['44-41=3', '81/3=27'] Exploring Operation: 65+27=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 68, 93, 46, 7 ]
69
[ "68+93=161", "161/7=23", "46+23=69" ]
Current State: 69:[68, 93, 46, 7], Operations: [] Exploring Operation: 68+93=161, Resulting Numbers: [46, 7, 161] Generated Node #2: [46, 7, 161] from Operation: 68+93=161 Current State: 69:[46, 7, 161], Operations: ['68+93=161'] Exploring Operation: 161/7=23, Resulting Numbers: [46, 23] Generated Node #3: [46, 23] from Operation: 161/7=23 Current State: 69:[46, 23], Operations: ['68+93=161', '161/7=23'] Exploring Operation: 46+23=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 68, 29, 78, 5 ]
24
[ "68+29=97", "78-5=73", "97-73=24" ]
Current State: 24:[68, 29, 78, 5], Operations: [] Exploring Operation: 68+29=97, Resulting Numbers: [78, 5, 97] Generated Node #2: [78, 5, 97] from Operation: 68+29=97 Current State: 24:[78, 5, 97], Operations: ['68+29=97'] Exploring Operation: 78-5=73, Resulting Numbers: [97, 73] Generated Node #3: [97, 73] from Operation: 78-5=73 Current State: 24:[97, 73], Operations: ['68+29=97', '78-5=73'] Exploring Operation: 97-73=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 66, 5, 46, 34 ]
58
[ "66+46=112", "5*34=170", "170-112=58" ]
Current State: 58:[66, 5, 46, 34], Operations: [] Exploring Operation: 66+46=112, Resulting Numbers: [5, 34, 112] Generated Node #2: [5, 34, 112] from Operation: 66+46=112 Current State: 58:[5, 34, 112], Operations: ['66+46=112'] Exploring Operation: 5*34=170, Resulting Numbers: [112, 170] Generated Node #3: [112, 170] from Operation: 5*34=170 Current State: 58:[112, 170], Operations: ['66+46=112', '5*34=170'] Exploring Operation: 170-112=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4