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
[ 26, 33, 42, 13 ]
73
[ "26/13=2", "33+42=75", "75-2=73" ]
Current State: 73:[26, 33, 42, 13], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [33, 42, 2] Generated Node #2: [33, 42, 2] from Operation: 26/13=2 Current State: 73:[33, 42, 2], Operations: ['26/13=2'] Exploring Operation: 33+42=75, Resulting Numbers: [2, 75] Generated Node #3: [2, 75] from Operation: 33+42=75 Current State: 73:[2, 75], Operations: ['26/13=2', '33+42=75'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 2, 55, 13, 39 ]
31
[ "2+55=57", "39-13=26", "57-26=31" ]
Current State: 31:[2, 55, 13, 39], Operations: [] Exploring Operation: 2+55=57, Resulting Numbers: [13, 39, 57] Generated Node #2: [13, 39, 57] from Operation: 2+55=57 Current State: 31:[13, 39, 57], Operations: ['2+55=57'] Exploring Operation: 39-13=26, Resulting Numbers: [57, 26] Generated Node #3: [57, 26] from Operation: 39-13=26 Current State: 31:[57, 26], Operations: ['2+55=57', '39-13=26'] Exploring Operation: 57-26=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 63, 63, 31, 52 ]
43
[ "63+63=126", "31+52=83", "126-83=43" ]
Current State: 43:[63, 63, 31, 52], Operations: [] Exploring Operation: 63+63=126, Resulting Numbers: [31, 52, 126] Generated Node #2: [31, 52, 126] from Operation: 63+63=126 Current State: 43:[31, 52, 126], Operations: ['63+63=126'] Exploring Operation: 31+52=83, Resulting Numbers: [126, 83] Generated Node #3: [126, 83] from Operation: 31+52=83 Current State: 43:[126, 83], Operations: ['63+63=126', '31+52=83'] Exploring Operation: 126-83=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 71, 17, 48, 42 ]
35
[ "71+48=119", "119/17=7", "42-7=35" ]
Current State: 35:[71, 17, 48, 42], Operations: [] Exploring Operation: 71+48=119, Resulting Numbers: [17, 42, 119] Generated Node #2: [17, 42, 119] from Operation: 71+48=119 Current State: 35:[17, 42, 119], Operations: ['71+48=119'] Exploring Operation: 119/17=7, Resulting Numbers: [42, 7] Generated Node #3: [42, 7] from Operation: 119/17=7 Current State: 35:[42, 7], Operations: ['71+48=119', '119/17=7'] Exploring Operation: 42-7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 13, 67, 3, 29 ]
80
[ "67-13=54", "29-3=26", "54+26=80" ]
Current State: 80:[13, 67, 3, 29], Operations: [] Exploring Operation: 67-13=54, Resulting Numbers: [3, 29, 54] Generated Node #2: [3, 29, 54] from Operation: 67-13=54 Current State: 80:[3, 29, 54], Operations: ['67-13=54'] Exploring Operation: 29-3=26, Resulting Numbers: [54, 26] Generated Node #3: [54, 26] from Operation: 29-3=26 Current State: 80:[54, 26], Operations: ['67-13=54', '29-3=26'] Exploring Operation: 54+26=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 59, 75, 7, 75 ]
53
[ "59-7=52", "75/75=1", "52+1=53" ]
Current State: 53:[59, 75, 7, 75], Operations: [] Exploring Operation: 59-7=52, Resulting Numbers: [75, 75, 52] Generated Node #2: [75, 75, 52] from Operation: 59-7=52 Current State: 53:[75, 75, 52], Operations: ['59-7=52'] Exploring Operation: 75/75=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 75/75=1 Current State: 53:[52, 1], Operations: ['59-7=52', '75/75=1'] Exploring Operation: 52+1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 4, 54, 66, 19 ]
97
[ "54-4=50", "66-19=47", "50+47=97" ]
Current State: 97:[4, 54, 66, 19], Operations: [] Exploring Operation: 54-4=50, Resulting Numbers: [66, 19, 50] Generated Node #2: [66, 19, 50] from Operation: 54-4=50 Current State: 97:[66, 19, 50], Operations: ['54-4=50'] Exploring Operation: 66-19=47, Resulting Numbers: [50, 47] Generated Node #3: [50, 47] from Operation: 66-19=47 Current State: 97:[50, 47], Operations: ['54-4=50', '66-19=47'] Exploring Operation: 50+47=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 27, 66, 86, 44 ]
51
[ "27+66=93", "86-44=42", "93-42=51" ]
Current State: 51:[27, 66, 86, 44], Operations: [] Exploring Operation: 27+66=93, Resulting Numbers: [86, 44, 93] Generated Node #2: [86, 44, 93] from Operation: 27+66=93 Current State: 51:[86, 44, 93], Operations: ['27+66=93'] Exploring Operation: 86-44=42, Resulting Numbers: [93, 42] Generated Node #3: [93, 42] from Operation: 86-44=42 Current State: 51:[93, 42], Operations: ['27+66=93', '86-44=42'] Exploring Operation: 93-42=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 84, 40, 50, 36 ]
42
[ "84-40=44", "50+36=86", "86-44=42" ]
Current State: 42:[84, 40, 50, 36], Operations: [] Exploring Operation: 84-40=44, Resulting Numbers: [50, 36, 44] Generated Node #2: [50, 36, 44] from Operation: 84-40=44 Current State: 42:[50, 36, 44], Operations: ['84-40=44'] Exploring Operation: 50+36=86, Resulting Numbers: [44, 86] Generated Node #3: [44, 86] from Operation: 50+36=86 Current State: 42:[44, 86], Operations: ['84-40=44', '50+36=86'] Exploring Operation: 86-44=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 39, 20, 5, 39 ]
24
[ "39/39=1", "20+5=25", "25-1=24" ]
Current State: 24:[39, 20, 5, 39], Operations: [] Exploring Operation: 39/39=1, Resulting Numbers: [20, 5, 1] Generated Node #2: [20, 5, 1] from Operation: 39/39=1 Current State: 24:[20, 5, 1], Operations: ['39/39=1'] Exploring Operation: 20+5=25, Resulting Numbers: [1, 25] Generated Node #3: [1, 25] from Operation: 20+5=25 Current State: 24:[1, 25], Operations: ['39/39=1', '20+5=25'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 60, 34, 40, 28 ]
79
[ "60*34=2040", "2040/40=51", "28+51=79" ]
Current State: 79:[60, 34, 40, 28], Operations: [] Exploring Operation: 60*34=2040, Resulting Numbers: [40, 28, 2040] Generated Node #2: [40, 28, 2040] from Operation: 60*34=2040 Current State: 79:[40, 28, 2040], Operations: ['60*34=2040'] Exploring Operation: 2040/40=51, Resulting Numbers: [28, 51] Generated Node #3: [28, 51] from Operation: 2040/40=51 Current State: 79:[28, 51], Operations: ['60*34=2040', '2040/40=51'] Exploring Operation: 28+51=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 76, 63, 81, 25 ]
83
[ "76+63=139", "81-25=56", "139-56=83" ]
Current State: 83:[76, 63, 81, 25], Operations: [] Exploring Operation: 76+63=139, Resulting Numbers: [81, 25, 139] Generated Node #2: [81, 25, 139] from Operation: 76+63=139 Current State: 83:[81, 25, 139], Operations: ['76+63=139'] Exploring Operation: 81-25=56, Resulting Numbers: [139, 56] Generated Node #3: [139, 56] from Operation: 81-25=56 Current State: 83:[139, 56], Operations: ['76+63=139', '81-25=56'] Exploring Operation: 139-56=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 13, 60, 8, 65 ]
64
[ "13+60=73", "73-65=8", "8*8=64" ]
Current State: 64:[13, 60, 8, 65], Operations: [] Exploring Operation: 13+60=73, Resulting Numbers: [8, 65, 73] Generated Node #2: [8, 65, 73] from Operation: 13+60=73 Current State: 64:[8, 65, 73], Operations: ['13+60=73'] Exploring Operation: 73-65=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 73-65=8 Current State: 64:[8, 8], Operations: ['13+60=73', '73-65=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 63, 37, 25, 85 ]
29
[ "63+85=148", "148/37=4", "25+4=29" ]
Current State: 29:[63, 37, 25, 85], Operations: [] Exploring Operation: 63+85=148, Resulting Numbers: [37, 25, 148] Generated Node #2: [37, 25, 148] from Operation: 63+85=148 Current State: 29:[37, 25, 148], Operations: ['63+85=148'] Exploring Operation: 148/37=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 148/37=4 Current State: 29:[25, 4], Operations: ['63+85=148', '148/37=4'] Exploring Operation: 25+4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 15, 12, 53, 19 ]
75
[ "15-12=3", "53+19=72", "3+72=75" ]
Current State: 75:[15, 12, 53, 19], Operations: [] Exploring Operation: 15-12=3, Resulting Numbers: [53, 19, 3] Generated Node #2: [53, 19, 3] from Operation: 15-12=3 Current State: 75:[53, 19, 3], Operations: ['15-12=3'] Exploring Operation: 53+19=72, Resulting Numbers: [3, 72] Generated Node #3: [3, 72] from Operation: 53+19=72 Current State: 75:[3, 72], Operations: ['15-12=3', '53+19=72'] Exploring Operation: 3+72=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 97, 86, 92, 7 ]
13
[ "97+86=183", "183-92=91", "91/7=13" ]
Current State: 13:[97, 86, 92, 7], Operations: [] Exploring Operation: 97+86=183, Resulting Numbers: [92, 7, 183] Generated Node #2: [92, 7, 183] from Operation: 97+86=183 Current State: 13:[92, 7, 183], Operations: ['97+86=183'] Exploring Operation: 183-92=91, Resulting Numbers: [7, 91] Generated Node #3: [7, 91] from Operation: 183-92=91 Current State: 13:[7, 91], Operations: ['97+86=183', '183-92=91'] Exploring Operation: 91/7=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 64, 11, 98, 66 ]
60
[ "66-64=2", "98/2=49", "11+49=60" ]
Current State: 60:[64, 11, 98, 66], Operations: [] Exploring Operation: 66-64=2, Resulting Numbers: [11, 98, 2] Generated Node #2: [11, 98, 2] from Operation: 66-64=2 Current State: 60:[11, 98, 2], Operations: ['66-64=2'] Exploring Operation: 98/2=49, Resulting Numbers: [11, 49] Generated Node #3: [11, 49] from Operation: 98/2=49 Current State: 60:[11, 49], Operations: ['66-64=2', '98/2=49'] Exploring Operation: 11+49=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 52, 75, 89, 2 ]
36
[ "52+75=127", "89+2=91", "127-91=36" ]
Current State: 36:[52, 75, 89, 2], Operations: [] Exploring Operation: 52+75=127, Resulting Numbers: [89, 2, 127] Generated Node #2: [89, 2, 127] from Operation: 52+75=127 Current State: 36:[89, 2, 127], Operations: ['52+75=127'] Exploring Operation: 89+2=91, Resulting Numbers: [127, 91] Generated Node #3: [127, 91] from Operation: 89+2=91 Current State: 36:[127, 91], Operations: ['52+75=127', '89+2=91'] Exploring Operation: 127-91=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 11, 28, 11, 76 ]
47
[ "11/11=1", "76-28=48", "48-1=47" ]
Current State: 47:[11, 28, 11, 76], Operations: [] Exploring Operation: 11/11=1, Resulting Numbers: [28, 76, 1] Generated Node #2: [28, 76, 1] from Operation: 11/11=1 Current State: 47:[28, 76, 1], Operations: ['11/11=1'] Exploring Operation: 76-28=48, Resulting Numbers: [1, 48] Generated Node #3: [1, 48] from Operation: 76-28=48 Current State: 47:[1, 48], Operations: ['11/11=1', '76-28=48'] Exploring Operation: 48-1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 90, 11, 10, 18 ]
73
[ "90+11=101", "10+18=28", "101-28=73" ]
Current State: 73:[90, 11, 10, 18], Operations: [] Exploring Operation: 90+11=101, Resulting Numbers: [10, 18, 101] Generated Node #2: [10, 18, 101] from Operation: 90+11=101 Current State: 73:[10, 18, 101], Operations: ['90+11=101'] Exploring Operation: 10+18=28, Resulting Numbers: [101, 28] Generated Node #3: [101, 28] from Operation: 10+18=28 Current State: 73:[101, 28], Operations: ['90+11=101', '10+18=28'] Exploring Operation: 101-28=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 30, 24, 47, 51 ]
72
[ "47-30=17", "24*51=1224", "1224/17=72" ]
Current State: 72:[30, 24, 47, 51], Operations: [] Exploring Operation: 47-30=17, Resulting Numbers: [24, 51, 17] Generated Node #2: [24, 51, 17] from Operation: 47-30=17 Current State: 72:[24, 51, 17], Operations: ['47-30=17'] Exploring Operation: 24*51=1224, Resulting Numbers: [17, 1224] Generated Node #3: [17, 1224] from Operation: 24*51=1224 Current State: 72:[17, 1224], Operations: ['47-30=17', '24*51=1224'] Exploring Operation: 1224/17=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 60, 96, 96, 17 ]
78
[ "60+17=77", "96/96=1", "77+1=78" ]
Current State: 78:[60, 96, 96, 17], Operations: [] Exploring Operation: 60+17=77, Resulting Numbers: [96, 96, 77] Generated Node #2: [96, 96, 77] from Operation: 60+17=77 Current State: 78:[96, 96, 77], Operations: ['60+17=77'] Exploring Operation: 96/96=1, Resulting Numbers: [77, 1] Generated Node #3: [77, 1] from Operation: 96/96=1 Current State: 78:[77, 1], Operations: ['60+17=77', '96/96=1'] Exploring Operation: 77+1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 68, 70, 9, 30 ]
89
[ "70*9=630", "630/30=21", "68+21=89" ]
Current State: 89:[68, 70, 9, 30], Operations: [] Exploring Operation: 70*9=630, Resulting Numbers: [68, 30, 630] Generated Node #2: [68, 30, 630] from Operation: 70*9=630 Current State: 89:[68, 30, 630], Operations: ['70*9=630'] Exploring Operation: 630/30=21, Resulting Numbers: [68, 21] Generated Node #3: [68, 21] from Operation: 630/30=21 Current State: 89:[68, 21], Operations: ['70*9=630', '630/30=21'] Exploring Operation: 68+21=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 65, 60, 62, 57 ]
37
[ "65-62=3", "60/3=20", "57-20=37" ]
Current State: 37:[65, 60, 62, 57], Operations: [] Exploring Operation: 65-62=3, Resulting Numbers: [60, 57, 3] Generated Node #2: [60, 57, 3] from Operation: 65-62=3 Current State: 37:[60, 57, 3], Operations: ['65-62=3'] Exploring Operation: 60/3=20, Resulting Numbers: [57, 20] Generated Node #3: [57, 20] from Operation: 60/3=20 Current State: 37:[57, 20], Operations: ['65-62=3', '60/3=20'] Exploring Operation: 57-20=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 23, 45, 12, 76 ]
96
[ "23+45=68", "76-68=8", "12*8=96" ]
Current State: 96:[23, 45, 12, 76], Operations: [] Exploring Operation: 23+45=68, Resulting Numbers: [12, 76, 68] Generated Node #2: [12, 76, 68] from Operation: 23+45=68 Current State: 96:[12, 76, 68], Operations: ['23+45=68'] Exploring Operation: 76-68=8, Resulting Numbers: [12, 8] Generated Node #3: [12, 8] from Operation: 76-68=8 Current State: 96:[12, 8], Operations: ['23+45=68', '76-68=8'] Exploring Operation: 12*8=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 71, 42, 52, 33 ]
84
[ "71+33=104", "42*104=4368", "4368/52=84" ]
Current State: 84:[71, 42, 52, 33], Operations: [] Exploring Operation: 71+33=104, Resulting Numbers: [42, 52, 104] Generated Node #2: [42, 52, 104] from Operation: 71+33=104 Current State: 84:[42, 52, 104], Operations: ['71+33=104'] Exploring Operation: 42*104=4368, Resulting Numbers: [52, 4368] Generated Node #3: [52, 4368] from Operation: 42*104=4368 Current State: 84:[52, 4368], Operations: ['71+33=104', '42*104=4368'] Exploring Operation: 4368/52=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 15, 47, 31, 85 ]
87
[ "15+47=62", "62/31=2", "85+2=87" ]
Current State: 87:[15, 47, 31, 85], Operations: [] Exploring Operation: 15+47=62, Resulting Numbers: [31, 85, 62] Generated Node #2: [31, 85, 62] from Operation: 15+47=62 Current State: 87:[31, 85, 62], Operations: ['15+47=62'] Exploring Operation: 62/31=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 62/31=2 Current State: 87:[85, 2], Operations: ['15+47=62', '62/31=2'] Exploring Operation: 85+2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 3, 21, 27, 13 ]
98
[ "21/3=7", "27-13=14", "7*14=98" ]
Current State: 98:[3, 21, 27, 13], Operations: [] Exploring Operation: 21/3=7, Resulting Numbers: [27, 13, 7] Generated Node #2: [27, 13, 7] from Operation: 21/3=7 Current State: 98:[27, 13, 7], Operations: ['21/3=7'] Exploring Operation: 27-13=14, Resulting Numbers: [7, 14] Generated Node #3: [7, 14] from Operation: 27-13=14 Current State: 98:[7, 14], Operations: ['21/3=7', '27-13=14'] Exploring Operation: 7*14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 35, 36, 70, 64 ]
98
[ "70/35=2", "36+64=100", "100-2=98" ]
Current State: 98:[35, 36, 70, 64], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [36, 64, 2] Generated Node #2: [36, 64, 2] from Operation: 70/35=2 Current State: 98:[36, 64, 2], Operations: ['70/35=2'] Exploring Operation: 36+64=100, Resulting Numbers: [2, 100] Generated Node #3: [2, 100] from Operation: 36+64=100 Current State: 98:[2, 100], Operations: ['70/35=2', '36+64=100'] Exploring Operation: 100-2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 35, 61, 87, 52 ]
70
[ "35*52=1820", "87-61=26", "1820/26=70" ]
Current State: 70:[35, 61, 87, 52], Operations: [] Exploring Operation: 35*52=1820, Resulting Numbers: [61, 87, 1820] Generated Node #2: [61, 87, 1820] from Operation: 35*52=1820 Current State: 70:[61, 87, 1820], Operations: ['35*52=1820'] Exploring Operation: 87-61=26, Resulting Numbers: [1820, 26] Generated Node #3: [1820, 26] from Operation: 87-61=26 Current State: 70:[1820, 26], Operations: ['35*52=1820', '87-61=26'] Exploring Operation: 1820/26=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 32, 36, 17, 42 ]
93
[ "32+36=68", "42-17=25", "68+25=93" ]
Current State: 93:[32, 36, 17, 42], Operations: [] Exploring Operation: 32+36=68, Resulting Numbers: [17, 42, 68] Generated Node #2: [17, 42, 68] from Operation: 32+36=68 Current State: 93:[17, 42, 68], Operations: ['32+36=68'] Exploring Operation: 42-17=25, Resulting Numbers: [68, 25] Generated Node #3: [68, 25] from Operation: 42-17=25 Current State: 93:[68, 25], Operations: ['32+36=68', '42-17=25'] Exploring Operation: 68+25=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 35, 7, 25, 12 ]
41
[ "35-7=28", "25-12=13", "28+13=41" ]
Current State: 41:[35, 7, 25, 12], Operations: [] Exploring Operation: 35-7=28, Resulting Numbers: [25, 12, 28] Generated Node #2: [25, 12, 28] from Operation: 35-7=28 Current State: 41:[25, 12, 28], Operations: ['35-7=28'] Exploring Operation: 25-12=13, Resulting Numbers: [28, 13] Generated Node #3: [28, 13] from Operation: 25-12=13 Current State: 41:[28, 13], Operations: ['35-7=28', '25-12=13'] Exploring Operation: 28+13=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 85, 53, 47, 83 ]
59
[ "85-83=2", "53*2=106", "106-47=59" ]
Current State: 59:[85, 53, 47, 83], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [53, 47, 2] Generated Node #2: [53, 47, 2] from Operation: 85-83=2 Current State: 59:[53, 47, 2], Operations: ['85-83=2'] Exploring Operation: 53*2=106, Resulting Numbers: [47, 106] Generated Node #3: [47, 106] from Operation: 53*2=106 Current State: 59:[47, 106], Operations: ['85-83=2', '53*2=106'] Exploring Operation: 106-47=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 75, 69, 42, 57 ]
25
[ "75*42=3150", "69+57=126", "3150/126=25" ]
Current State: 25:[75, 69, 42, 57], Operations: [] Exploring Operation: 75*42=3150, Resulting Numbers: [69, 57, 3150] Generated Node #2: [69, 57, 3150] from Operation: 75*42=3150 Current State: 25:[69, 57, 3150], Operations: ['75*42=3150'] Exploring Operation: 69+57=126, Resulting Numbers: [3150, 126] Generated Node #3: [3150, 126] from Operation: 69+57=126 Current State: 25:[3150, 126], Operations: ['75*42=3150', '69+57=126'] Exploring Operation: 3150/126=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 49, 33, 44, 30 ]
39
[ "49-44=5", "30/5=6", "33+6=39" ]
Current State: 39:[49, 33, 44, 30], Operations: [] Exploring Operation: 49-44=5, Resulting Numbers: [33, 30, 5] Generated Node #2: [33, 30, 5] from Operation: 49-44=5 Current State: 39:[33, 30, 5], Operations: ['49-44=5'] Exploring Operation: 30/5=6, Resulting Numbers: [33, 6] Generated Node #3: [33, 6] from Operation: 30/5=6 Current State: 39:[33, 6], Operations: ['49-44=5', '30/5=6'] Exploring Operation: 33+6=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 94, 61, 44, 19 ]
58
[ "94-61=33", "44-19=25", "33+25=58" ]
Current State: 58:[94, 61, 44, 19], Operations: [] Exploring Operation: 94-61=33, Resulting Numbers: [44, 19, 33] Generated Node #2: [44, 19, 33] from Operation: 94-61=33 Current State: 58:[44, 19, 33], Operations: ['94-61=33'] Exploring Operation: 44-19=25, Resulting Numbers: [33, 25] Generated Node #3: [33, 25] from Operation: 44-19=25 Current State: 58:[33, 25], Operations: ['94-61=33', '44-19=25'] Exploring Operation: 33+25=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 7, 2, 36, 19 ]
69
[ "7*2=14", "36+19=55", "14+55=69" ]
Current State: 69:[7, 2, 36, 19], Operations: [] Exploring Operation: 7*2=14, Resulting Numbers: [36, 19, 14] Generated Node #2: [36, 19, 14] from Operation: 7*2=14 Current State: 69:[36, 19, 14], Operations: ['7*2=14'] Exploring Operation: 36+19=55, Resulting Numbers: [14, 55] Generated Node #3: [14, 55] from Operation: 36+19=55 Current State: 69:[14, 55], Operations: ['7*2=14', '36+19=55'] Exploring Operation: 14+55=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 88, 66, 86, 58 ]
25
[ "88-86=2", "66/2=33", "58-33=25" ]
Current State: 25:[88, 66, 86, 58], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [66, 58, 2] Generated Node #2: [66, 58, 2] from Operation: 88-86=2 Current State: 25:[66, 58, 2], Operations: ['88-86=2'] Exploring Operation: 66/2=33, Resulting Numbers: [58, 33] Generated Node #3: [58, 33] from Operation: 66/2=33 Current State: 25:[58, 33], Operations: ['88-86=2', '66/2=33'] Exploring Operation: 58-33=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 41, 70, 32, 28 ]
32
[ "70-41=29", "29-28=1", "32*1=32" ]
Current State: 32:[41, 70, 32, 28], Operations: [] Exploring Operation: 70-41=29, Resulting Numbers: [32, 28, 29] Generated Node #2: [32, 28, 29] from Operation: 70-41=29 Current State: 32:[32, 28, 29], Operations: ['70-41=29'] Exploring Operation: 29-28=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 29-28=1 Current State: 32:[32, 1], Operations: ['70-41=29', '29-28=1'] Exploring Operation: 32*1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 83, 74, 82, 76 ]
15
[ "83-74=9", "82-76=6", "9+6=15" ]
Current State: 15:[83, 74, 82, 76], Operations: [] Exploring Operation: 83-74=9, Resulting Numbers: [82, 76, 9] Generated Node #2: [82, 76, 9] from Operation: 83-74=9 Current State: 15:[82, 76, 9], Operations: ['83-74=9'] Exploring Operation: 82-76=6, Resulting Numbers: [9, 6] Generated Node #3: [9, 6] from Operation: 82-76=6 Current State: 15:[9, 6], Operations: ['83-74=9', '82-76=6'] Exploring Operation: 9+6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 57, 77, 91, 27 ]
98
[ "77-57=20", "91+27=118", "118-20=98" ]
Current State: 98:[57, 77, 91, 27], Operations: [] Exploring Operation: 77-57=20, Resulting Numbers: [91, 27, 20] Generated Node #2: [91, 27, 20] from Operation: 77-57=20 Current State: 98:[91, 27, 20], Operations: ['77-57=20'] Exploring Operation: 91+27=118, Resulting Numbers: [20, 118] Generated Node #3: [20, 118] from Operation: 91+27=118 Current State: 98:[20, 118], Operations: ['77-57=20', '91+27=118'] Exploring Operation: 118-20=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 40, 7, 1, 60 ]
93
[ "40-7=33", "1*60=60", "33+60=93" ]
Current State: 93:[40, 7, 1, 60], Operations: [] Exploring Operation: 40-7=33, Resulting Numbers: [1, 60, 33] Generated Node #2: [1, 60, 33] from Operation: 40-7=33 Current State: 93:[1, 60, 33], Operations: ['40-7=33'] Exploring Operation: 1*60=60, Resulting Numbers: [33, 60] Generated Node #3: [33, 60] from Operation: 1*60=60 Current State: 93:[33, 60], Operations: ['40-7=33', '1*60=60'] Exploring Operation: 33+60=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 62, 85, 87, 39 ]
21
[ "62+85=147", "87+39=126", "147-126=21" ]
Current State: 21:[62, 85, 87, 39], Operations: [] Exploring Operation: 62+85=147, Resulting Numbers: [87, 39, 147] Generated Node #2: [87, 39, 147] from Operation: 62+85=147 Current State: 21:[87, 39, 147], Operations: ['62+85=147'] Exploring Operation: 87+39=126, Resulting Numbers: [147, 126] Generated Node #3: [147, 126] from Operation: 87+39=126 Current State: 21:[147, 126], Operations: ['62+85=147', '87+39=126'] Exploring Operation: 147-126=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 9, 28, 36, 14 ]
84
[ "36/9=4", "14*4=56", "28+56=84" ]
Current State: 84:[9, 28, 36, 14], Operations: [] Exploring Operation: 36/9=4, Resulting Numbers: [28, 14, 4] Generated Node #2: [28, 14, 4] from Operation: 36/9=4 Current State: 84:[28, 14, 4], Operations: ['36/9=4'] Exploring Operation: 14*4=56, Resulting Numbers: [28, 56] Generated Node #3: [28, 56] from Operation: 14*4=56 Current State: 84:[28, 56], Operations: ['36/9=4', '14*4=56'] Exploring Operation: 28+56=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 13, 38, 50, 52 ]
53
[ "13+38=51", "52-50=2", "51+2=53" ]
Current State: 53:[13, 38, 50, 52], Operations: [] Exploring Operation: 13+38=51, Resulting Numbers: [50, 52, 51] Generated Node #2: [50, 52, 51] from Operation: 13+38=51 Current State: 53:[50, 52, 51], Operations: ['13+38=51'] Exploring Operation: 52-50=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 52-50=2 Current State: 53:[51, 2], Operations: ['13+38=51', '52-50=2'] Exploring Operation: 51+2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 75, 24, 64, 87 ]
62
[ "87-75=12", "24/12=2", "64-2=62" ]
Current State: 62:[75, 24, 64, 87], Operations: [] Exploring Operation: 87-75=12, Resulting Numbers: [24, 64, 12] Generated Node #2: [24, 64, 12] from Operation: 87-75=12 Current State: 62:[24, 64, 12], Operations: ['87-75=12'] Exploring Operation: 24/12=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 24/12=2 Current State: 62:[64, 2], Operations: ['87-75=12', '24/12=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 53, 13, 46, 9 ]
50
[ "53-46=7", "9*7=63", "63-13=50" ]
Current State: 50:[53, 13, 46, 9], Operations: [] Exploring Operation: 53-46=7, Resulting Numbers: [13, 9, 7] Generated Node #2: [13, 9, 7] from Operation: 53-46=7 Current State: 50:[13, 9, 7], Operations: ['53-46=7'] Exploring Operation: 9*7=63, Resulting Numbers: [13, 63] Generated Node #3: [13, 63] from Operation: 9*7=63 Current State: 50:[13, 63], Operations: ['53-46=7', '9*7=63'] Exploring Operation: 63-13=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 47, 73, 13, 17 ]
56
[ "73-47=26", "13+17=30", "26+30=56" ]
Current State: 56:[47, 73, 13, 17], Operations: [] Exploring Operation: 73-47=26, Resulting Numbers: [13, 17, 26] Generated Node #2: [13, 17, 26] from Operation: 73-47=26 Current State: 56:[13, 17, 26], Operations: ['73-47=26'] Exploring Operation: 13+17=30, Resulting Numbers: [26, 30] Generated Node #3: [26, 30] from Operation: 13+17=30 Current State: 56:[26, 30], Operations: ['73-47=26', '13+17=30'] Exploring Operation: 26+30=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 44, 31, 37, 45 ]
69
[ "44-31=13", "37+45=82", "82-13=69" ]
Current State: 69:[44, 31, 37, 45], Operations: [] Exploring Operation: 44-31=13, Resulting Numbers: [37, 45, 13] Generated Node #2: [37, 45, 13] from Operation: 44-31=13 Current State: 69:[37, 45, 13], Operations: ['44-31=13'] Exploring Operation: 37+45=82, Resulting Numbers: [13, 82] Generated Node #3: [13, 82] from Operation: 37+45=82 Current State: 69:[13, 82], Operations: ['44-31=13', '37+45=82'] Exploring Operation: 82-13=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 93, 83, 10, 91 ]
75
[ "93+83=176", "10+91=101", "176-101=75" ]
Current State: 75:[93, 83, 10, 91], Operations: [] Exploring Operation: 93+83=176, Resulting Numbers: [10, 91, 176] Generated Node #2: [10, 91, 176] from Operation: 93+83=176 Current State: 75:[10, 91, 176], Operations: ['93+83=176'] Exploring Operation: 10+91=101, Resulting Numbers: [176, 101] Generated Node #3: [176, 101] from Operation: 10+91=101 Current State: 75:[176, 101], Operations: ['93+83=176', '10+91=101'] Exploring Operation: 176-101=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 90, 73, 59, 61 ]
19
[ "90-73=17", "61-59=2", "17+2=19" ]
Current State: 19:[90, 73, 59, 61], Operations: [] Exploring Operation: 90-73=17, Resulting Numbers: [59, 61, 17] Generated Node #2: [59, 61, 17] from Operation: 90-73=17 Current State: 19:[59, 61, 17], Operations: ['90-73=17'] Exploring Operation: 61-59=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 61-59=2 Current State: 19:[17, 2], Operations: ['90-73=17', '61-59=2'] Exploring Operation: 17+2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 2, 91, 30, 65 ]
63
[ "91-30=61", "65+61=126", "126/2=63" ]
Current State: 63:[2, 91, 30, 65], Operations: [] Exploring Operation: 91-30=61, Resulting Numbers: [2, 65, 61] Generated Node #2: [2, 65, 61] from Operation: 91-30=61 Current State: 63:[2, 65, 61], Operations: ['91-30=61'] Exploring Operation: 65+61=126, Resulting Numbers: [2, 126] Generated Node #3: [2, 126] from Operation: 65+61=126 Current State: 63:[2, 126], Operations: ['91-30=61', '65+61=126'] Exploring Operation: 126/2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 96, 6, 58, 10 ]
15
[ "96*10=960", "6+58=64", "960/64=15" ]
Current State: 15:[96, 6, 58, 10], Operations: [] Exploring Operation: 96*10=960, Resulting Numbers: [6, 58, 960] Generated Node #2: [6, 58, 960] from Operation: 96*10=960 Current State: 15:[6, 58, 960], Operations: ['96*10=960'] Exploring Operation: 6+58=64, Resulting Numbers: [960, 64] Generated Node #3: [960, 64] from Operation: 6+58=64 Current State: 15:[960, 64], Operations: ['96*10=960', '6+58=64'] Exploring Operation: 960/64=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 82, 77, 88, 84 ]
14
[ "88*84=7392", "7392/77=96", "96-82=14" ]
Current State: 14:[82, 77, 88, 84], Operations: [] Exploring Operation: 88*84=7392, Resulting Numbers: [82, 77, 7392] Generated Node #2: [82, 77, 7392] from Operation: 88*84=7392 Current State: 14:[82, 77, 7392], Operations: ['88*84=7392'] Exploring Operation: 7392/77=96, Resulting Numbers: [82, 96] Generated Node #3: [82, 96] from Operation: 7392/77=96 Current State: 14:[82, 96], Operations: ['88*84=7392', '7392/77=96'] Exploring Operation: 96-82=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 88, 44, 2, 70 ]
80
[ "88-70=18", "2*18=36", "44+36=80" ]
Current State: 80:[88, 44, 2, 70], Operations: [] Exploring Operation: 88-70=18, Resulting Numbers: [44, 2, 18] Generated Node #2: [44, 2, 18] from Operation: 88-70=18 Current State: 80:[44, 2, 18], Operations: ['88-70=18'] Exploring Operation: 2*18=36, Resulting Numbers: [44, 36] Generated Node #3: [44, 36] from Operation: 2*18=36 Current State: 80:[44, 36], Operations: ['88-70=18', '2*18=36'] Exploring Operation: 44+36=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 68, 2, 7, 23 ]
77
[ "68/2=34", "34-23=11", "7*11=77" ]
Current State: 77:[68, 2, 7, 23], Operations: [] Exploring Operation: 68/2=34, Resulting Numbers: [7, 23, 34] Generated Node #2: [7, 23, 34] from Operation: 68/2=34 Current State: 77:[7, 23, 34], Operations: ['68/2=34'] Exploring Operation: 34-23=11, Resulting Numbers: [7, 11] Generated Node #3: [7, 11] from Operation: 34-23=11 Current State: 77:[7, 11], Operations: ['68/2=34', '34-23=11'] Exploring Operation: 7*11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 93, 55, 33, 20 ]
58
[ "93-33=60", "60/20=3", "55+3=58" ]
Current State: 58:[93, 55, 33, 20], Operations: [] Exploring Operation: 93-33=60, Resulting Numbers: [55, 20, 60] Generated Node #2: [55, 20, 60] from Operation: 93-33=60 Current State: 58:[55, 20, 60], Operations: ['93-33=60'] Exploring Operation: 60/20=3, Resulting Numbers: [55, 3] Generated Node #3: [55, 3] from Operation: 60/20=3 Current State: 58:[55, 3], Operations: ['93-33=60', '60/20=3'] Exploring Operation: 55+3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 12, 9, 13, 11 ]
59
[ "13-9=4", "12*4=48", "11+48=59" ]
Current State: 59:[12, 9, 13, 11], Operations: [] Exploring Operation: 13-9=4, Resulting Numbers: [12, 11, 4] Generated Node #2: [12, 11, 4] from Operation: 13-9=4 Current State: 59:[12, 11, 4], Operations: ['13-9=4'] Exploring Operation: 12*4=48, Resulting Numbers: [11, 48] Generated Node #3: [11, 48] from Operation: 12*4=48 Current State: 59:[11, 48], Operations: ['13-9=4', '12*4=48'] Exploring Operation: 11+48=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 76, 62, 49, 38 ]
73
[ "76-62=14", "49+38=87", "87-14=73" ]
Current State: 73:[76, 62, 49, 38], Operations: [] Exploring Operation: 76-62=14, Resulting Numbers: [49, 38, 14] Generated Node #2: [49, 38, 14] from Operation: 76-62=14 Current State: 73:[49, 38, 14], Operations: ['76-62=14'] Exploring Operation: 49+38=87, Resulting Numbers: [14, 87] Generated Node #3: [14, 87] from Operation: 49+38=87 Current State: 73:[14, 87], Operations: ['76-62=14', '49+38=87'] Exploring Operation: 87-14=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 99, 49, 82, 2 ]
91
[ "99-49=50", "82/2=41", "50+41=91" ]
Current State: 91:[99, 49, 82, 2], Operations: [] Exploring Operation: 99-49=50, Resulting Numbers: [82, 2, 50] Generated Node #2: [82, 2, 50] from Operation: 99-49=50 Current State: 91:[82, 2, 50], Operations: ['99-49=50'] Exploring Operation: 82/2=41, Resulting Numbers: [50, 41] Generated Node #3: [50, 41] from Operation: 82/2=41 Current State: 91:[50, 41], Operations: ['99-49=50', '82/2=41'] Exploring Operation: 50+41=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 39, 7, 30, 59 ]
43
[ "39+7=46", "30+59=89", "89-46=43" ]
Current State: 43:[39, 7, 30, 59], Operations: [] Exploring Operation: 39+7=46, Resulting Numbers: [30, 59, 46] Generated Node #2: [30, 59, 46] from Operation: 39+7=46 Current State: 43:[30, 59, 46], Operations: ['39+7=46'] Exploring Operation: 30+59=89, Resulting Numbers: [46, 89] Generated Node #3: [46, 89] from Operation: 30+59=89 Current State: 43:[46, 89], Operations: ['39+7=46', '30+59=89'] Exploring Operation: 89-46=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 10, 91, 52, 80 ]
58
[ "91-80=11", "10*11=110", "110-52=58" ]
Current State: 58:[10, 91, 52, 80], Operations: [] Exploring Operation: 91-80=11, Resulting Numbers: [10, 52, 11] Generated Node #2: [10, 52, 11] from Operation: 91-80=11 Current State: 58:[10, 52, 11], Operations: ['91-80=11'] Exploring Operation: 10*11=110, Resulting Numbers: [52, 110] Generated Node #3: [52, 110] from Operation: 10*11=110 Current State: 58:[52, 110], Operations: ['91-80=11', '10*11=110'] Exploring Operation: 110-52=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 14, 24, 42, 49 ]
26
[ "49-42=7", "14/7=2", "24+2=26" ]
Current State: 26:[14, 24, 42, 49], Operations: [] Exploring Operation: 49-42=7, Resulting Numbers: [14, 24, 7] Generated Node #2: [14, 24, 7] from Operation: 49-42=7 Current State: 26:[14, 24, 7], Operations: ['49-42=7'] Exploring Operation: 14/7=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 14/7=2 Current State: 26:[24, 2], Operations: ['49-42=7', '14/7=2'] Exploring Operation: 24+2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 58, 50, 5, 97 ]
100
[ "58-50=8", "97-5=92", "8+92=100" ]
Current State: 100:[58, 50, 5, 97], Operations: [] Exploring Operation: 58-50=8, Resulting Numbers: [5, 97, 8] Generated Node #2: [5, 97, 8] from Operation: 58-50=8 Current State: 100:[5, 97, 8], Operations: ['58-50=8'] Exploring Operation: 97-5=92, Resulting Numbers: [8, 92] Generated Node #3: [8, 92] from Operation: 97-5=92 Current State: 100:[8, 92], Operations: ['58-50=8', '97-5=92'] Exploring Operation: 8+92=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 25, 39, 68, 53 ]
79
[ "25+39=64", "68-53=15", "64+15=79" ]
Current State: 79:[25, 39, 68, 53], Operations: [] Exploring Operation: 25+39=64, Resulting Numbers: [68, 53, 64] Generated Node #2: [68, 53, 64] from Operation: 25+39=64 Current State: 79:[68, 53, 64], Operations: ['25+39=64'] Exploring Operation: 68-53=15, Resulting Numbers: [64, 15] Generated Node #3: [64, 15] from Operation: 68-53=15 Current State: 79:[64, 15], Operations: ['25+39=64', '68-53=15'] Exploring Operation: 64+15=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 2, 10, 56, 19 ]
52
[ "10+56=66", "66/2=33", "19+33=52" ]
Current State: 52:[2, 10, 56, 19], Operations: [] Exploring Operation: 10+56=66, Resulting Numbers: [2, 19, 66] Generated Node #2: [2, 19, 66] from Operation: 10+56=66 Current State: 52:[2, 19, 66], Operations: ['10+56=66'] Exploring Operation: 66/2=33, Resulting Numbers: [19, 33] Generated Node #3: [19, 33] from Operation: 66/2=33 Current State: 52:[19, 33], Operations: ['10+56=66', '66/2=33'] Exploring Operation: 19+33=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 84, 28, 19, 6 ]
57
[ "84/28=3", "6-3=3", "19*3=57" ]
Current State: 57:[84, 28, 19, 6], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [19, 6, 3] Generated Node #2: [19, 6, 3] from Operation: 84/28=3 Current State: 57:[19, 6, 3], Operations: ['84/28=3'] Exploring Operation: 6-3=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 6-3=3 Current State: 57:[19, 3], Operations: ['84/28=3', '6-3=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 81, 64, 15, 88 ]
90
[ "81-64=17", "88-15=73", "17+73=90" ]
Current State: 90:[81, 64, 15, 88], Operations: [] Exploring Operation: 81-64=17, Resulting Numbers: [15, 88, 17] Generated Node #2: [15, 88, 17] from Operation: 81-64=17 Current State: 90:[15, 88, 17], Operations: ['81-64=17'] Exploring Operation: 88-15=73, Resulting Numbers: [17, 73] Generated Node #3: [17, 73] from Operation: 88-15=73 Current State: 90:[17, 73], Operations: ['81-64=17', '88-15=73'] Exploring Operation: 17+73=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 54, 29, 33, 21 ]
13
[ "54-29=25", "33-21=12", "25-12=13" ]
Current State: 13:[54, 29, 33, 21], Operations: [] Exploring Operation: 54-29=25, Resulting Numbers: [33, 21, 25] Generated Node #2: [33, 21, 25] from Operation: 54-29=25 Current State: 13:[33, 21, 25], Operations: ['54-29=25'] Exploring Operation: 33-21=12, Resulting Numbers: [25, 12] Generated Node #3: [25, 12] from Operation: 33-21=12 Current State: 13:[25, 12], Operations: ['54-29=25', '33-21=12'] Exploring Operation: 25-12=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 67, 32, 24, 69 ]
80
[ "67-32=35", "69-24=45", "35+45=80" ]
Current State: 80:[67, 32, 24, 69], Operations: [] Exploring Operation: 67-32=35, Resulting Numbers: [24, 69, 35] Generated Node #2: [24, 69, 35] from Operation: 67-32=35 Current State: 80:[24, 69, 35], Operations: ['67-32=35'] Exploring Operation: 69-24=45, Resulting Numbers: [35, 45] Generated Node #3: [35, 45] from Operation: 69-24=45 Current State: 80:[35, 45], Operations: ['67-32=35', '69-24=45'] Exploring Operation: 35+45=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 11, 48, 28, 8 ]
88
[ "28-11=17", "8*17=136", "136-48=88" ]
Current State: 88:[11, 48, 28, 8], Operations: [] Exploring Operation: 28-11=17, Resulting Numbers: [48, 8, 17] Generated Node #2: [48, 8, 17] from Operation: 28-11=17 Current State: 88:[48, 8, 17], Operations: ['28-11=17'] Exploring Operation: 8*17=136, Resulting Numbers: [48, 136] Generated Node #3: [48, 136] from Operation: 8*17=136 Current State: 88:[48, 136], Operations: ['28-11=17', '8*17=136'] Exploring Operation: 136-48=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 95, 85, 17, 14 ]
77
[ "95+17=112", "112/14=8", "85-8=77" ]
Current State: 77:[95, 85, 17, 14], Operations: [] Exploring Operation: 95+17=112, Resulting Numbers: [85, 14, 112] Generated Node #2: [85, 14, 112] from Operation: 95+17=112 Current State: 77:[85, 14, 112], Operations: ['95+17=112'] Exploring Operation: 112/14=8, Resulting Numbers: [85, 8] Generated Node #3: [85, 8] from Operation: 112/14=8 Current State: 77:[85, 8], Operations: ['95+17=112', '112/14=8'] Exploring Operation: 85-8=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 42, 47, 60, 54 ]
66
[ "47-42=5", "60/5=12", "54+12=66" ]
Current State: 66:[42, 47, 60, 54], Operations: [] Exploring Operation: 47-42=5, Resulting Numbers: [60, 54, 5] Generated Node #2: [60, 54, 5] from Operation: 47-42=5 Current State: 66:[60, 54, 5], Operations: ['47-42=5'] Exploring Operation: 60/5=12, Resulting Numbers: [54, 12] Generated Node #3: [54, 12] from Operation: 60/5=12 Current State: 66:[54, 12], Operations: ['47-42=5', '60/5=12'] Exploring Operation: 54+12=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 32, 90, 20, 88 ]
96
[ "32+88=120", "120/20=6", "90+6=96" ]
Current State: 96:[32, 90, 20, 88], Operations: [] Exploring Operation: 32+88=120, Resulting Numbers: [90, 20, 120] Generated Node #2: [90, 20, 120] from Operation: 32+88=120 Current State: 96:[90, 20, 120], Operations: ['32+88=120'] Exploring Operation: 120/20=6, Resulting Numbers: [90, 6] Generated Node #3: [90, 6] from Operation: 120/20=6 Current State: 96:[90, 6], Operations: ['32+88=120', '120/20=6'] Exploring Operation: 90+6=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 20, 60, 24, 20 ]
16
[ "20+20=40", "24*40=960", "960/60=16" ]
Current State: 16:[20, 60, 24, 20], Operations: [] Exploring Operation: 20+20=40, Resulting Numbers: [60, 24, 40] Generated Node #2: [60, 24, 40] from Operation: 20+20=40 Current State: 16:[60, 24, 40], Operations: ['20+20=40'] Exploring Operation: 24*40=960, Resulting Numbers: [60, 960] Generated Node #3: [60, 960] from Operation: 24*40=960 Current State: 16:[60, 960], Operations: ['20+20=40', '24*40=960'] Exploring Operation: 960/60=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 45, 65, 72, 99 ]
39
[ "99-72=27", "65*27=1755", "1755/45=39" ]
Current State: 39:[45, 65, 72, 99], Operations: [] Exploring Operation: 99-72=27, Resulting Numbers: [45, 65, 27] Generated Node #2: [45, 65, 27] from Operation: 99-72=27 Current State: 39:[45, 65, 27], Operations: ['99-72=27'] Exploring Operation: 65*27=1755, Resulting Numbers: [45, 1755] Generated Node #3: [45, 1755] from Operation: 65*27=1755 Current State: 39:[45, 1755], Operations: ['99-72=27', '65*27=1755'] Exploring Operation: 1755/45=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 56, 18, 34, 42 ]
39
[ "18+34=52", "42*52=2184", "2184/56=39" ]
Current State: 39:[56, 18, 34, 42], Operations: [] Exploring Operation: 18+34=52, Resulting Numbers: [56, 42, 52] Generated Node #2: [56, 42, 52] from Operation: 18+34=52 Current State: 39:[56, 42, 52], Operations: ['18+34=52'] Exploring Operation: 42*52=2184, Resulting Numbers: [56, 2184] Generated Node #3: [56, 2184] from Operation: 42*52=2184 Current State: 39:[56, 2184], Operations: ['18+34=52', '42*52=2184'] Exploring Operation: 2184/56=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 44, 84, 21, 3 ]
22
[ "84-44=40", "21-3=18", "40-18=22" ]
Current State: 22:[44, 84, 21, 3], Operations: [] Exploring Operation: 84-44=40, Resulting Numbers: [21, 3, 40] Generated Node #2: [21, 3, 40] from Operation: 84-44=40 Current State: 22:[21, 3, 40], Operations: ['84-44=40'] Exploring Operation: 21-3=18, Resulting Numbers: [40, 18] Generated Node #3: [40, 18] from Operation: 21-3=18 Current State: 22:[40, 18], Operations: ['84-44=40', '21-3=18'] Exploring Operation: 40-18=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 45, 67, 69, 21 ]
69
[ "67-45=22", "22-21=1", "69*1=69" ]
Current State: 69:[45, 67, 69, 21], Operations: [] Exploring Operation: 67-45=22, Resulting Numbers: [69, 21, 22] Generated Node #2: [69, 21, 22] from Operation: 67-45=22 Current State: 69:[69, 21, 22], Operations: ['67-45=22'] Exploring Operation: 22-21=1, Resulting Numbers: [69, 1] Generated Node #3: [69, 1] from Operation: 22-21=1 Current State: 69:[69, 1], Operations: ['67-45=22', '22-21=1'] Exploring Operation: 69*1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 36, 50, 70, 57 ]
99
[ "36+50=86", "70-57=13", "86+13=99" ]
Current State: 99:[36, 50, 70, 57], Operations: [] Exploring Operation: 36+50=86, Resulting Numbers: [70, 57, 86] Generated Node #2: [70, 57, 86] from Operation: 36+50=86 Current State: 99:[70, 57, 86], Operations: ['36+50=86'] Exploring Operation: 70-57=13, Resulting Numbers: [86, 13] Generated Node #3: [86, 13] from Operation: 70-57=13 Current State: 99:[86, 13], Operations: ['36+50=86', '70-57=13'] Exploring Operation: 86+13=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 22, 10, 70, 98 ]
14
[ "22-10=12", "70+98=168", "168/12=14" ]
Current State: 14:[22, 10, 70, 98], Operations: [] Exploring Operation: 22-10=12, Resulting Numbers: [70, 98, 12] Generated Node #2: [70, 98, 12] from Operation: 22-10=12 Current State: 14:[70, 98, 12], Operations: ['22-10=12'] Exploring Operation: 70+98=168, Resulting Numbers: [12, 168] Generated Node #3: [12, 168] from Operation: 70+98=168 Current State: 14:[12, 168], Operations: ['22-10=12', '70+98=168'] Exploring Operation: 168/12=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 77, 68, 84, 81 ]
75
[ "77-68=9", "81/9=9", "84-9=75" ]
Current State: 75:[77, 68, 84, 81], Operations: [] Exploring Operation: 77-68=9, Resulting Numbers: [84, 81, 9] Generated Node #2: [84, 81, 9] from Operation: 77-68=9 Current State: 75:[84, 81, 9], Operations: ['77-68=9'] Exploring Operation: 81/9=9, Resulting Numbers: [84, 9] Generated Node #3: [84, 9] from Operation: 81/9=9 Current State: 75:[84, 9], Operations: ['77-68=9', '81/9=9'] Exploring Operation: 84-9=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 5, 66, 91, 47 ]
27
[ "5+66=71", "91-47=44", "71-44=27" ]
Current State: 27:[5, 66, 91, 47], Operations: [] Exploring Operation: 5+66=71, Resulting Numbers: [91, 47, 71] Generated Node #2: [91, 47, 71] from Operation: 5+66=71 Current State: 27:[91, 47, 71], Operations: ['5+66=71'] Exploring Operation: 91-47=44, Resulting Numbers: [71, 44] Generated Node #3: [71, 44] from Operation: 91-47=44 Current State: 27:[71, 44], Operations: ['5+66=71', '91-47=44'] Exploring Operation: 71-44=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 3, 54, 4, 87 ]
75
[ "87-3=84", "84/4=21", "54+21=75" ]
Current State: 75:[3, 54, 4, 87], Operations: [] Exploring Operation: 87-3=84, Resulting Numbers: [54, 4, 84] Generated Node #2: [54, 4, 84] from Operation: 87-3=84 Current State: 75:[54, 4, 84], Operations: ['87-3=84'] Exploring Operation: 84/4=21, Resulting Numbers: [54, 21] Generated Node #3: [54, 21] from Operation: 84/4=21 Current State: 75:[54, 21], Operations: ['87-3=84', '84/4=21'] Exploring Operation: 54+21=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 37, 30, 31, 98 ]
61
[ "98-37=61", "31-30=1", "61*1=61" ]
Current State: 61:[37, 30, 31, 98], Operations: [] Exploring Operation: 98-37=61, Resulting Numbers: [30, 31, 61] Generated Node #2: [30, 31, 61] from Operation: 98-37=61 Current State: 61:[30, 31, 61], Operations: ['98-37=61'] Exploring Operation: 31-30=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 31-30=1 Current State: 61:[61, 1], Operations: ['98-37=61', '31-30=1'] Exploring Operation: 61*1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 89, 88, 86, 33 ]
99
[ "89-86=3", "33/3=11", "88+11=99" ]
Current State: 99:[89, 88, 86, 33], Operations: [] Exploring Operation: 89-86=3, Resulting Numbers: [88, 33, 3] Generated Node #2: [88, 33, 3] from Operation: 89-86=3 Current State: 99:[88, 33, 3], Operations: ['89-86=3'] Exploring Operation: 33/3=11, Resulting Numbers: [88, 11] Generated Node #3: [88, 11] from Operation: 33/3=11 Current State: 99:[88, 11], Operations: ['89-86=3', '33/3=11'] Exploring Operation: 88+11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 43, 32, 40, 58 ]
57
[ "43+32=75", "58-40=18", "75-18=57" ]
Current State: 57:[43, 32, 40, 58], Operations: [] Exploring Operation: 43+32=75, Resulting Numbers: [40, 58, 75] Generated Node #2: [40, 58, 75] from Operation: 43+32=75 Current State: 57:[40, 58, 75], Operations: ['43+32=75'] Exploring Operation: 58-40=18, Resulting Numbers: [75, 18] Generated Node #3: [75, 18] from Operation: 58-40=18 Current State: 57:[75, 18], Operations: ['43+32=75', '58-40=18'] Exploring Operation: 75-18=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 30, 86, 53, 89 ]
47
[ "30*86=2580", "2580-89=2491", "2491/53=47" ]
Current State: 47:[30, 86, 53, 89], Operations: [] Exploring Operation: 30*86=2580, Resulting Numbers: [53, 89, 2580] Generated Node #2: [53, 89, 2580] from Operation: 30*86=2580 Current State: 47:[53, 89, 2580], Operations: ['30*86=2580'] Exploring Operation: 2580-89=2491, Resulting Numbers: [53, 2491] Generated Node #3: [53, 2491] from Operation: 2580-89=2491 Current State: 47:[53, 2491], Operations: ['30*86=2580', '2580-89=2491'] Exploring Operation: 2491/53=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 57, 9, 8, 30 ]
33
[ "8*30=240", "57+240=297", "297/9=33" ]
Current State: 33:[57, 9, 8, 30], Operations: [] Exploring Operation: 8*30=240, Resulting Numbers: [57, 9, 240] Generated Node #2: [57, 9, 240] from Operation: 8*30=240 Current State: 33:[57, 9, 240], Operations: ['8*30=240'] Exploring Operation: 57+240=297, Resulting Numbers: [9, 297] Generated Node #3: [9, 297] from Operation: 57+240=297 Current State: 33:[9, 297], Operations: ['8*30=240', '57+240=297'] Exploring Operation: 297/9=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 44, 61, 47, 36 ]
41
[ "61+47=108", "108/36=3", "44-3=41" ]
Current State: 41:[44, 61, 47, 36], Operations: [] Exploring Operation: 61+47=108, Resulting Numbers: [44, 36, 108] Generated Node #2: [44, 36, 108] from Operation: 61+47=108 Current State: 41:[44, 36, 108], Operations: ['61+47=108'] Exploring Operation: 108/36=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 108/36=3 Current State: 41:[44, 3], Operations: ['61+47=108', '108/36=3'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 4, 84, 9, 12 ]
29
[ "4*9=36", "84/12=7", "36-7=29" ]
Current State: 29:[4, 84, 9, 12], Operations: [] Exploring Operation: 4*9=36, Resulting Numbers: [84, 12, 36] Generated Node #2: [84, 12, 36] from Operation: 4*9=36 Current State: 29:[84, 12, 36], Operations: ['4*9=36'] Exploring Operation: 84/12=7, Resulting Numbers: [36, 7] Generated Node #3: [36, 7] from Operation: 84/12=7 Current State: 29:[36, 7], Operations: ['4*9=36', '84/12=7'] Exploring Operation: 36-7=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 14, 31, 61, 77 ]
61
[ "14+31=45", "77-61=16", "45+16=61" ]
Current State: 61:[14, 31, 61, 77], Operations: [] Exploring Operation: 14+31=45, Resulting Numbers: [61, 77, 45] Generated Node #2: [61, 77, 45] from Operation: 14+31=45 Current State: 61:[61, 77, 45], Operations: ['14+31=45'] Exploring Operation: 77-61=16, Resulting Numbers: [45, 16] Generated Node #3: [45, 16] from Operation: 77-61=16 Current State: 61:[45, 16], Operations: ['14+31=45', '77-61=16'] Exploring Operation: 45+16=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 53, 63, 8, 11 ]
79
[ "53*11=583", "63*8=504", "583-504=79" ]
Current State: 79:[53, 63, 8, 11], Operations: [] Exploring Operation: 53*11=583, Resulting Numbers: [63, 8, 583] Generated Node #2: [63, 8, 583] from Operation: 53*11=583 Current State: 79:[63, 8, 583], Operations: ['53*11=583'] Exploring Operation: 63*8=504, Resulting Numbers: [583, 504] Generated Node #3: [583, 504] from Operation: 63*8=504 Current State: 79:[583, 504], Operations: ['53*11=583', '63*8=504'] Exploring Operation: 583-504=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 70, 95, 64, 39 ]
80
[ "70*64=4480", "95-39=56", "4480/56=80" ]
Current State: 80:[70, 95, 64, 39], Operations: [] Exploring Operation: 70*64=4480, Resulting Numbers: [95, 39, 4480] Generated Node #2: [95, 39, 4480] from Operation: 70*64=4480 Current State: 80:[95, 39, 4480], Operations: ['70*64=4480'] Exploring Operation: 95-39=56, Resulting Numbers: [4480, 56] Generated Node #3: [4480, 56] from Operation: 95-39=56 Current State: 80:[4480, 56], Operations: ['70*64=4480', '95-39=56'] Exploring Operation: 4480/56=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 50, 80, 17, 3 ]
81
[ "80-50=30", "17*3=51", "30+51=81" ]
Current State: 81:[50, 80, 17, 3], Operations: [] Exploring Operation: 80-50=30, Resulting Numbers: [17, 3, 30] Generated Node #2: [17, 3, 30] from Operation: 80-50=30 Current State: 81:[17, 3, 30], Operations: ['80-50=30'] Exploring Operation: 17*3=51, Resulting Numbers: [30, 51] Generated Node #3: [30, 51] from Operation: 17*3=51 Current State: 81:[30, 51], Operations: ['80-50=30', '17*3=51'] Exploring Operation: 30+51=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 95, 99, 36, 60 ]
51
[ "99-95=4", "36/4=9", "60-9=51" ]
Current State: 51:[95, 99, 36, 60], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [36, 60, 4] Generated Node #2: [36, 60, 4] from Operation: 99-95=4 Current State: 51:[36, 60, 4], Operations: ['99-95=4'] Exploring Operation: 36/4=9, Resulting Numbers: [60, 9] Generated Node #3: [60, 9] from Operation: 36/4=9 Current State: 51:[60, 9], Operations: ['99-95=4', '36/4=9'] Exploring Operation: 60-9=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 47, 39, 20, 22 ]
16
[ "47-39=8", "22-20=2", "8*2=16" ]
Current State: 16:[47, 39, 20, 22], Operations: [] Exploring Operation: 47-39=8, Resulting Numbers: [20, 22, 8] Generated Node #2: [20, 22, 8] from Operation: 47-39=8 Current State: 16:[20, 22, 8], Operations: ['47-39=8'] Exploring Operation: 22-20=2, Resulting Numbers: [8, 2] Generated Node #3: [8, 2] from Operation: 22-20=2 Current State: 16:[8, 2], Operations: ['47-39=8', '22-20=2'] Exploring Operation: 8*2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 55, 27, 50, 37 ]
59
[ "55-27=28", "50+37=87", "87-28=59" ]
Current State: 59:[55, 27, 50, 37], Operations: [] Exploring Operation: 55-27=28, Resulting Numbers: [50, 37, 28] Generated Node #2: [50, 37, 28] from Operation: 55-27=28 Current State: 59:[50, 37, 28], Operations: ['55-27=28'] Exploring Operation: 50+37=87, Resulting Numbers: [28, 87] Generated Node #3: [28, 87] from Operation: 50+37=87 Current State: 59:[28, 87], Operations: ['55-27=28', '50+37=87'] Exploring Operation: 87-28=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 76, 35, 88, 33 ]
100
[ "35-33=2", "88*2=176", "176-76=100" ]
Current State: 100:[76, 35, 88, 33], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [76, 88, 2] Generated Node #2: [76, 88, 2] from Operation: 35-33=2 Current State: 100:[76, 88, 2], Operations: ['35-33=2'] Exploring Operation: 88*2=176, Resulting Numbers: [76, 176] Generated Node #3: [76, 176] from Operation: 88*2=176 Current State: 100:[76, 176], Operations: ['35-33=2', '88*2=176'] Exploring Operation: 176-76=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 73, 31, 96, 12 ]
42
[ "73-31=42", "96-12=84", "84-42=42" ]
Current State: 42:[73, 31, 96, 12], Operations: [] Exploring Operation: 73-31=42, Resulting Numbers: [96, 12, 42] Generated Node #2: [96, 12, 42] from Operation: 73-31=42 Current State: 42:[96, 12, 42], Operations: ['73-31=42'] Exploring Operation: 96-12=84, Resulting Numbers: [42, 84] Generated Node #3: [42, 84] from Operation: 96-12=84 Current State: 42:[42, 84], Operations: ['73-31=42', '96-12=84'] Exploring Operation: 84-42=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4