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
[ 80, 7, 19, 10 ]
78
[ "80+7=87", "19-10=9", "87-9=78" ]
Current State: 78:[80, 7, 19, 10], Operations: [] Exploring Operation: 80+7=87, Resulting Numbers: [19, 10, 87] Generated Node #2: [19, 10, 87] from Operation: 80+7=87 Current State: 78:[19, 10, 87], Operations: ['80+7=87'] Exploring Operation: 19-10=9, Resulting Numbers: [87, 9] Generated Node #3: [87, 9] from Operation: 19-10=9 Current State: 78:[87, 9], Operations: ['80+7=87', '19-10=9'] Exploring Operation: 87-9=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 89, 4, 81, 32 ]
44
[ "89+4=93", "81-32=49", "93-49=44" ]
Current State: 44:[89, 4, 81, 32], Operations: [] Exploring Operation: 89+4=93, Resulting Numbers: [81, 32, 93] Generated Node #2: [81, 32, 93] from Operation: 89+4=93 Current State: 44:[81, 32, 93], Operations: ['89+4=93'] Exploring Operation: 81-32=49, Resulting Numbers: [93, 49] Generated Node #3: [93, 49] from Operation: 81-32=49 Current State: 44:[93, 49], Operations: ['89+4=93', '81-32=49'] Exploring Operation: 93-49=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 33, 5, 11, 12 ]
24
[ "33/11=3", "5-3=2", "12*2=24" ]
Current State: 24:[33, 5, 11, 12], Operations: [] Exploring Operation: 33/11=3, Resulting Numbers: [5, 12, 3] Generated Node #2: [5, 12, 3] from Operation: 33/11=3 Current State: 24:[5, 12, 3], Operations: ['33/11=3'] Exploring Operation: 5-3=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 5-3=2 Current State: 24:[12, 2], Operations: ['33/11=3', '5-3=2'] Exploring Operation: 12*2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 60, 11, 96, 47 ]
94
[ "60-11=49", "96+47=143", "143-49=94" ]
Current State: 94:[60, 11, 96, 47], Operations: [] Exploring Operation: 60-11=49, Resulting Numbers: [96, 47, 49] Generated Node #2: [96, 47, 49] from Operation: 60-11=49 Current State: 94:[96, 47, 49], Operations: ['60-11=49'] Exploring Operation: 96+47=143, Resulting Numbers: [49, 143] Generated Node #3: [49, 143] from Operation: 96+47=143 Current State: 94:[49, 143], Operations: ['60-11=49', '96+47=143'] Exploring Operation: 143-49=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 98, 91, 28, 2 ]
84
[ "98*2=196", "196/28=7", "91-7=84" ]
Current State: 84:[98, 91, 28, 2], Operations: [] Exploring Operation: 98*2=196, Resulting Numbers: [91, 28, 196] Generated Node #2: [91, 28, 196] from Operation: 98*2=196 Current State: 84:[91, 28, 196], Operations: ['98*2=196'] Exploring Operation: 196/28=7, Resulting Numbers: [91, 7] Generated Node #3: [91, 7] from Operation: 196/28=7 Current State: 84:[91, 7], Operations: ['98*2=196', '196/28=7'] Exploring Operation: 91-7=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 15, 18, 54, 5 ]
23
[ "18-15=3", "54/3=18", "5+18=23" ]
Current State: 23:[15, 18, 54, 5], Operations: [] Exploring Operation: 18-15=3, Resulting Numbers: [54, 5, 3] Generated Node #2: [54, 5, 3] from Operation: 18-15=3 Current State: 23:[54, 5, 3], Operations: ['18-15=3'] Exploring Operation: 54/3=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 54/3=18 Current State: 23:[5, 18], Operations: ['18-15=3', '54/3=18'] Exploring Operation: 5+18=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 43, 25, 76, 46 ]
98
[ "43+25=68", "76-46=30", "68+30=98" ]
Current State: 98:[43, 25, 76, 46], Operations: [] Exploring Operation: 43+25=68, Resulting Numbers: [76, 46, 68] Generated Node #2: [76, 46, 68] from Operation: 43+25=68 Current State: 98:[76, 46, 68], Operations: ['43+25=68'] Exploring Operation: 76-46=30, Resulting Numbers: [68, 30] Generated Node #3: [68, 30] from Operation: 76-46=30 Current State: 98:[68, 30], Operations: ['43+25=68', '76-46=30'] Exploring Operation: 68+30=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 47, 69, 9, 20 ]
51
[ "69-47=22", "9+20=29", "22+29=51" ]
Current State: 51:[47, 69, 9, 20], Operations: [] Exploring Operation: 69-47=22, Resulting Numbers: [9, 20, 22] Generated Node #2: [9, 20, 22] from Operation: 69-47=22 Current State: 51:[9, 20, 22], Operations: ['69-47=22'] Exploring Operation: 9+20=29, Resulting Numbers: [22, 29] Generated Node #3: [22, 29] from Operation: 9+20=29 Current State: 51:[22, 29], Operations: ['69-47=22', '9+20=29'] Exploring Operation: 22+29=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 27, 54, 21, 96 ]
74
[ "27*54=1458", "96+1458=1554", "1554/21=74" ]
Current State: 74:[27, 54, 21, 96], Operations: [] Exploring Operation: 27*54=1458, Resulting Numbers: [21, 96, 1458] Generated Node #2: [21, 96, 1458] from Operation: 27*54=1458 Current State: 74:[21, 96, 1458], Operations: ['27*54=1458'] Exploring Operation: 96+1458=1554, Resulting Numbers: [21, 1554] Generated Node #3: [21, 1554] from Operation: 96+1458=1554 Current State: 74:[21, 1554], Operations: ['27*54=1458', '96+1458=1554'] Exploring Operation: 1554/21=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 65, 38, 68, 64 ]
31
[ "65-38=27", "68-64=4", "27+4=31" ]
Current State: 31:[65, 38, 68, 64], Operations: [] Exploring Operation: 65-38=27, Resulting Numbers: [68, 64, 27] Generated Node #2: [68, 64, 27] from Operation: 65-38=27 Current State: 31:[68, 64, 27], Operations: ['65-38=27'] Exploring Operation: 68-64=4, Resulting Numbers: [27, 4] Generated Node #3: [27, 4] from Operation: 68-64=4 Current State: 31:[27, 4], Operations: ['65-38=27', '68-64=4'] Exploring Operation: 27+4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 69, 21, 34, 15 ]
29
[ "69-21=48", "34-15=19", "48-19=29" ]
Current State: 29:[69, 21, 34, 15], Operations: [] Exploring Operation: 69-21=48, Resulting Numbers: [34, 15, 48] Generated Node #2: [34, 15, 48] from Operation: 69-21=48 Current State: 29:[34, 15, 48], Operations: ['69-21=48'] Exploring Operation: 34-15=19, Resulting Numbers: [48, 19] Generated Node #3: [48, 19] from Operation: 34-15=19 Current State: 29:[48, 19], Operations: ['69-21=48', '34-15=19'] Exploring Operation: 48-19=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 52, 13, 68, 5 ]
88
[ "52/13=4", "5*4=20", "68+20=88" ]
Current State: 88:[52, 13, 68, 5], Operations: [] Exploring Operation: 52/13=4, Resulting Numbers: [68, 5, 4] Generated Node #2: [68, 5, 4] from Operation: 52/13=4 Current State: 88:[68, 5, 4], Operations: ['52/13=4'] Exploring Operation: 5*4=20, Resulting Numbers: [68, 20] Generated Node #3: [68, 20] from Operation: 5*4=20 Current State: 88:[68, 20], Operations: ['52/13=4', '5*4=20'] Exploring Operation: 68+20=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 16, 43, 51, 11 ]
22
[ "16*11=176", "51-43=8", "176/8=22" ]
Current State: 22:[16, 43, 51, 11], Operations: [] Exploring Operation: 16*11=176, Resulting Numbers: [43, 51, 176] Generated Node #2: [43, 51, 176] from Operation: 16*11=176 Current State: 22:[43, 51, 176], Operations: ['16*11=176'] Exploring Operation: 51-43=8, Resulting Numbers: [176, 8] Generated Node #3: [176, 8] from Operation: 51-43=8 Current State: 22:[176, 8], Operations: ['16*11=176', '51-43=8'] Exploring Operation: 176/8=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 75, 27, 88, 3 ]
36
[ "75/3=25", "88-27=61", "61-25=36" ]
Current State: 36:[75, 27, 88, 3], Operations: [] Exploring Operation: 75/3=25, Resulting Numbers: [27, 88, 25] Generated Node #2: [27, 88, 25] from Operation: 75/3=25 Current State: 36:[27, 88, 25], Operations: ['75/3=25'] Exploring Operation: 88-27=61, Resulting Numbers: [25, 61] Generated Node #3: [25, 61] from Operation: 88-27=61 Current State: 36:[25, 61], Operations: ['75/3=25', '88-27=61'] Exploring Operation: 61-25=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 81, 16, 66, 18 ]
96
[ "18-16=2", "81*2=162", "162-66=96" ]
Current State: 96:[81, 16, 66, 18], Operations: [] Exploring Operation: 18-16=2, Resulting Numbers: [81, 66, 2] Generated Node #2: [81, 66, 2] from Operation: 18-16=2 Current State: 96:[81, 66, 2], Operations: ['18-16=2'] Exploring Operation: 81*2=162, Resulting Numbers: [66, 162] Generated Node #3: [66, 162] from Operation: 81*2=162 Current State: 96:[66, 162], Operations: ['18-16=2', '81*2=162'] Exploring Operation: 162-66=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 52, 45, 88, 63 ]
32
[ "52-45=7", "88-63=25", "7+25=32" ]
Current State: 32:[52, 45, 88, 63], Operations: [] Exploring Operation: 52-45=7, Resulting Numbers: [88, 63, 7] Generated Node #2: [88, 63, 7] from Operation: 52-45=7 Current State: 32:[88, 63, 7], Operations: ['52-45=7'] Exploring Operation: 88-63=25, Resulting Numbers: [7, 25] Generated Node #3: [7, 25] from Operation: 88-63=25 Current State: 32:[7, 25], Operations: ['52-45=7', '88-63=25'] Exploring Operation: 7+25=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 76, 84, 80, 31 ]
57
[ "84-76=8", "80-31=49", "8+49=57" ]
Current State: 57:[76, 84, 80, 31], Operations: [] Exploring Operation: 84-76=8, Resulting Numbers: [80, 31, 8] Generated Node #2: [80, 31, 8] from Operation: 84-76=8 Current State: 57:[80, 31, 8], Operations: ['84-76=8'] Exploring Operation: 80-31=49, Resulting Numbers: [8, 49] Generated Node #3: [8, 49] from Operation: 80-31=49 Current State: 57:[8, 49], Operations: ['84-76=8', '80-31=49'] Exploring Operation: 8+49=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 77, 7, 76, 89 ]
81
[ "77+7=84", "76+89=165", "165-84=81" ]
Current State: 81:[77, 7, 76, 89], Operations: [] Exploring Operation: 77+7=84, Resulting Numbers: [76, 89, 84] Generated Node #2: [76, 89, 84] from Operation: 77+7=84 Current State: 81:[76, 89, 84], Operations: ['77+7=84'] Exploring Operation: 76+89=165, Resulting Numbers: [84, 165] Generated Node #3: [84, 165] from Operation: 76+89=165 Current State: 81:[84, 165], Operations: ['77+7=84', '76+89=165'] Exploring Operation: 165-84=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 86, 42, 19, 63 ]
70
[ "86+19=105", "42*105=4410", "4410/63=70" ]
Current State: 70:[86, 42, 19, 63], Operations: [] Exploring Operation: 86+19=105, Resulting Numbers: [42, 63, 105] Generated Node #2: [42, 63, 105] from Operation: 86+19=105 Current State: 70:[42, 63, 105], Operations: ['86+19=105'] Exploring Operation: 42*105=4410, Resulting Numbers: [63, 4410] Generated Node #3: [63, 4410] from Operation: 42*105=4410 Current State: 70:[63, 4410], Operations: ['86+19=105', '42*105=4410'] Exploring Operation: 4410/63=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 4, 80, 88, 22 ]
90
[ "80/4=20", "88+22=110", "110-20=90" ]
Current State: 90:[4, 80, 88, 22], Operations: [] Exploring Operation: 80/4=20, Resulting Numbers: [88, 22, 20] Generated Node #2: [88, 22, 20] from Operation: 80/4=20 Current State: 90:[88, 22, 20], Operations: ['80/4=20'] Exploring Operation: 88+22=110, Resulting Numbers: [20, 110] Generated Node #3: [20, 110] from Operation: 88+22=110 Current State: 90:[20, 110], Operations: ['80/4=20', '88+22=110'] Exploring Operation: 110-20=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 61, 87, 17, 38 ]
29
[ "87-61=26", "17+38=55", "55-26=29" ]
Current State: 29:[61, 87, 17, 38], Operations: [] Exploring Operation: 87-61=26, Resulting Numbers: [17, 38, 26] Generated Node #2: [17, 38, 26] from Operation: 87-61=26 Current State: 29:[17, 38, 26], Operations: ['87-61=26'] Exploring Operation: 17+38=55, Resulting Numbers: [26, 55] Generated Node #3: [26, 55] from Operation: 17+38=55 Current State: 29:[26, 55], Operations: ['87-61=26', '17+38=55'] Exploring Operation: 55-26=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 9, 54, 55, 37 ]
63
[ "54-9=45", "55-37=18", "45+18=63" ]
Current State: 63:[9, 54, 55, 37], Operations: [] Exploring Operation: 54-9=45, Resulting Numbers: [55, 37, 45] Generated Node #2: [55, 37, 45] from Operation: 54-9=45 Current State: 63:[55, 37, 45], Operations: ['54-9=45'] Exploring Operation: 55-37=18, Resulting Numbers: [45, 18] Generated Node #3: [45, 18] from Operation: 55-37=18 Current State: 63:[45, 18], Operations: ['54-9=45', '55-37=18'] Exploring Operation: 45+18=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 33, 62, 39, 47 ]
87
[ "33+62=95", "47-39=8", "95-8=87" ]
Current State: 87:[33, 62, 39, 47], Operations: [] Exploring Operation: 33+62=95, Resulting Numbers: [39, 47, 95] Generated Node #2: [39, 47, 95] from Operation: 33+62=95 Current State: 87:[39, 47, 95], Operations: ['33+62=95'] Exploring Operation: 47-39=8, Resulting Numbers: [95, 8] Generated Node #3: [95, 8] from Operation: 47-39=8 Current State: 87:[95, 8], Operations: ['33+62=95', '47-39=8'] Exploring Operation: 95-8=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 4, 24, 86, 35 ]
93
[ "4+24=28", "86+35=121", "121-28=93" ]
Current State: 93:[4, 24, 86, 35], Operations: [] Exploring Operation: 4+24=28, Resulting Numbers: [86, 35, 28] Generated Node #2: [86, 35, 28] from Operation: 4+24=28 Current State: 93:[86, 35, 28], Operations: ['4+24=28'] Exploring Operation: 86+35=121, Resulting Numbers: [28, 121] Generated Node #3: [28, 121] from Operation: 86+35=121 Current State: 93:[28, 121], Operations: ['4+24=28', '86+35=121'] Exploring Operation: 121-28=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 21, 7, 35, 8 ]
46
[ "21/7=3", "35+8=43", "3+43=46" ]
Current State: 46:[21, 7, 35, 8], Operations: [] Exploring Operation: 21/7=3, Resulting Numbers: [35, 8, 3] Generated Node #2: [35, 8, 3] from Operation: 21/7=3 Current State: 46:[35, 8, 3], Operations: ['21/7=3'] Exploring Operation: 35+8=43, Resulting Numbers: [3, 43] Generated Node #3: [3, 43] from Operation: 35+8=43 Current State: 46:[3, 43], Operations: ['21/7=3', '35+8=43'] Exploring Operation: 3+43=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 26, 11, 29, 13 ]
58
[ "26-11=15", "15-13=2", "29*2=58" ]
Current State: 58:[26, 11, 29, 13], Operations: [] Exploring Operation: 26-11=15, Resulting Numbers: [29, 13, 15] Generated Node #2: [29, 13, 15] from Operation: 26-11=15 Current State: 58:[29, 13, 15], Operations: ['26-11=15'] Exploring Operation: 15-13=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 15-13=2 Current State: 58:[29, 2], Operations: ['26-11=15', '15-13=2'] Exploring Operation: 29*2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 7, 32, 94, 50 ]
32
[ "32+94=126", "126/7=18", "50-18=32" ]
Current State: 32:[7, 32, 94, 50], Operations: [] Exploring Operation: 32+94=126, Resulting Numbers: [7, 50, 126] Generated Node #2: [7, 50, 126] from Operation: 32+94=126 Current State: 32:[7, 50, 126], Operations: ['32+94=126'] Exploring Operation: 126/7=18, Resulting Numbers: [50, 18] Generated Node #3: [50, 18] from Operation: 126/7=18 Current State: 32:[50, 18], Operations: ['32+94=126', '126/7=18'] Exploring Operation: 50-18=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 72, 2, 97, 28 ]
19
[ "72*2=144", "97+28=125", "144-125=19" ]
Current State: 19:[72, 2, 97, 28], Operations: [] Exploring Operation: 72*2=144, Resulting Numbers: [97, 28, 144] Generated Node #2: [97, 28, 144] from Operation: 72*2=144 Current State: 19:[97, 28, 144], Operations: ['72*2=144'] Exploring Operation: 97+28=125, Resulting Numbers: [144, 125] Generated Node #3: [144, 125] from Operation: 97+28=125 Current State: 19:[144, 125], Operations: ['72*2=144', '97+28=125'] Exploring Operation: 144-125=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 17, 35, 68, 99 ]
20
[ "68-35=33", "99/33=3", "17+3=20" ]
Current State: 20:[17, 35, 68, 99], Operations: [] Exploring Operation: 68-35=33, Resulting Numbers: [17, 99, 33] Generated Node #2: [17, 99, 33] from Operation: 68-35=33 Current State: 20:[17, 99, 33], Operations: ['68-35=33'] Exploring Operation: 99/33=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 99/33=3 Current State: 20:[17, 3], Operations: ['68-35=33', '99/33=3'] Exploring Operation: 17+3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 1, 29, 2, 26 ]
82
[ "1+29=30", "2*26=52", "30+52=82" ]
Current State: 82:[1, 29, 2, 26], Operations: [] Exploring Operation: 1+29=30, Resulting Numbers: [2, 26, 30] Generated Node #2: [2, 26, 30] from Operation: 1+29=30 Current State: 82:[2, 26, 30], Operations: ['1+29=30'] Exploring Operation: 2*26=52, Resulting Numbers: [30, 52] Generated Node #3: [30, 52] from Operation: 2*26=52 Current State: 82:[30, 52], Operations: ['1+29=30', '2*26=52'] Exploring Operation: 30+52=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 34, 24, 81, 3 ]
74
[ "34-24=10", "81+3=84", "84-10=74" ]
Current State: 74:[34, 24, 81, 3], Operations: [] Exploring Operation: 34-24=10, Resulting Numbers: [81, 3, 10] Generated Node #2: [81, 3, 10] from Operation: 34-24=10 Current State: 74:[81, 3, 10], Operations: ['34-24=10'] Exploring Operation: 81+3=84, Resulting Numbers: [10, 84] Generated Node #3: [10, 84] from Operation: 81+3=84 Current State: 74:[10, 84], Operations: ['34-24=10', '81+3=84'] Exploring Operation: 84-10=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 57, 62, 9, 91 ]
46
[ "62-57=5", "9*5=45", "91-45=46" ]
Current State: 46:[57, 62, 9, 91], Operations: [] Exploring Operation: 62-57=5, Resulting Numbers: [9, 91, 5] Generated Node #2: [9, 91, 5] from Operation: 62-57=5 Current State: 46:[9, 91, 5], Operations: ['62-57=5'] Exploring Operation: 9*5=45, Resulting Numbers: [91, 45] Generated Node #3: [91, 45] from Operation: 9*5=45 Current State: 46:[91, 45], Operations: ['62-57=5', '9*5=45'] Exploring Operation: 91-45=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 39, 92, 94, 65 ]
52
[ "39+65=104", "94-92=2", "104/2=52" ]
Current State: 52:[39, 92, 94, 65], Operations: [] Exploring Operation: 39+65=104, Resulting Numbers: [92, 94, 104] Generated Node #2: [92, 94, 104] from Operation: 39+65=104 Current State: 52:[92, 94, 104], Operations: ['39+65=104'] Exploring Operation: 94-92=2, Resulting Numbers: [104, 2] Generated Node #3: [104, 2] from Operation: 94-92=2 Current State: 52:[104, 2], Operations: ['39+65=104', '94-92=2'] Exploring Operation: 104/2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 49, 88, 1, 92 ]
54
[ "88-49=39", "1+92=93", "93-39=54" ]
Current State: 54:[49, 88, 1, 92], Operations: [] Exploring Operation: 88-49=39, Resulting Numbers: [1, 92, 39] Generated Node #2: [1, 92, 39] from Operation: 88-49=39 Current State: 54:[1, 92, 39], Operations: ['88-49=39'] Exploring Operation: 1+92=93, Resulting Numbers: [39, 93] Generated Node #3: [39, 93] from Operation: 1+92=93 Current State: 54:[39, 93], Operations: ['88-49=39', '1+92=93'] Exploring Operation: 93-39=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 20, 50, 93, 68 ]
10
[ "93-20=73", "73-68=5", "50/5=10" ]
Current State: 10:[20, 50, 93, 68], Operations: [] Exploring Operation: 93-20=73, Resulting Numbers: [50, 68, 73] Generated Node #2: [50, 68, 73] from Operation: 93-20=73 Current State: 10:[50, 68, 73], Operations: ['93-20=73'] Exploring Operation: 73-68=5, Resulting Numbers: [50, 5] Generated Node #3: [50, 5] from Operation: 73-68=5 Current State: 10:[50, 5], Operations: ['93-20=73', '73-68=5'] Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 11, 39, 28, 48 ]
30
[ "11+39=50", "48-28=20", "50-20=30" ]
Current State: 30:[11, 39, 28, 48], Operations: [] Exploring Operation: 11+39=50, Resulting Numbers: [28, 48, 50] Generated Node #2: [28, 48, 50] from Operation: 11+39=50 Current State: 30:[28, 48, 50], Operations: ['11+39=50'] Exploring Operation: 48-28=20, Resulting Numbers: [50, 20] Generated Node #3: [50, 20] from Operation: 48-28=20 Current State: 30:[50, 20], Operations: ['11+39=50', '48-28=20'] Exploring Operation: 50-20=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 27, 16, 8, 71 ]
68
[ "27-16=11", "8+71=79", "79-11=68" ]
Current State: 68:[27, 16, 8, 71], Operations: [] Exploring Operation: 27-16=11, Resulting Numbers: [8, 71, 11] Generated Node #2: [8, 71, 11] from Operation: 27-16=11 Current State: 68:[8, 71, 11], Operations: ['27-16=11'] Exploring Operation: 8+71=79, Resulting Numbers: [11, 79] Generated Node #3: [11, 79] from Operation: 8+71=79 Current State: 68:[11, 79], Operations: ['27-16=11', '8+71=79'] Exploring Operation: 79-11=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 63, 37, 32, 84 ]
13
[ "63*32=2016", "2016/84=24", "37-24=13" ]
Current State: 13:[63, 37, 32, 84], Operations: [] Exploring Operation: 63*32=2016, Resulting Numbers: [37, 84, 2016] Generated Node #2: [37, 84, 2016] from Operation: 63*32=2016 Current State: 13:[37, 84, 2016], Operations: ['63*32=2016'] Exploring Operation: 2016/84=24, Resulting Numbers: [37, 24] Generated Node #3: [37, 24] from Operation: 2016/84=24 Current State: 13:[37, 24], Operations: ['63*32=2016', '2016/84=24'] Exploring Operation: 37-24=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 70, 6, 64, 47 ]
35
[ "70+6=76", "64+47=111", "111-76=35" ]
Current State: 35:[70, 6, 64, 47], Operations: [] Exploring Operation: 70+6=76, Resulting Numbers: [64, 47, 76] Generated Node #2: [64, 47, 76] from Operation: 70+6=76 Current State: 35:[64, 47, 76], Operations: ['70+6=76'] Exploring Operation: 64+47=111, Resulting Numbers: [76, 111] Generated Node #3: [76, 111] from Operation: 64+47=111 Current State: 35:[76, 111], Operations: ['70+6=76', '64+47=111'] Exploring Operation: 111-76=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 50, 11, 37, 29 ]
47
[ "50-11=39", "37-29=8", "39+8=47" ]
Current State: 47:[50, 11, 37, 29], Operations: [] Exploring Operation: 50-11=39, Resulting Numbers: [37, 29, 39] Generated Node #2: [37, 29, 39] from Operation: 50-11=39 Current State: 47:[37, 29, 39], Operations: ['50-11=39'] Exploring Operation: 37-29=8, Resulting Numbers: [39, 8] Generated Node #3: [39, 8] from Operation: 37-29=8 Current State: 47:[39, 8], Operations: ['50-11=39', '37-29=8'] Exploring Operation: 39+8=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 76, 7, 49, 75 ]
95
[ "76-7=69", "75-49=26", "69+26=95" ]
Current State: 95:[76, 7, 49, 75], Operations: [] Exploring Operation: 76-7=69, Resulting Numbers: [49, 75, 69] Generated Node #2: [49, 75, 69] from Operation: 76-7=69 Current State: 95:[49, 75, 69], Operations: ['76-7=69'] Exploring Operation: 75-49=26, Resulting Numbers: [69, 26] Generated Node #3: [69, 26] from Operation: 75-49=26 Current State: 95:[69, 26], Operations: ['76-7=69', '75-49=26'] Exploring Operation: 69+26=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 27, 2, 69, 40 ]
41
[ "69-27=42", "40+42=82", "82/2=41" ]
Current State: 41:[27, 2, 69, 40], Operations: [] Exploring Operation: 69-27=42, Resulting Numbers: [2, 40, 42] Generated Node #2: [2, 40, 42] from Operation: 69-27=42 Current State: 41:[2, 40, 42], Operations: ['69-27=42'] Exploring Operation: 40+42=82, Resulting Numbers: [2, 82] Generated Node #3: [2, 82] from Operation: 40+42=82 Current State: 41:[2, 82], Operations: ['69-27=42', '40+42=82'] Exploring Operation: 82/2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 32, 78, 35, 58 ]
38
[ "58-32=26", "78/26=3", "35+3=38" ]
Current State: 38:[32, 78, 35, 58], Operations: [] Exploring Operation: 58-32=26, Resulting Numbers: [78, 35, 26] Generated Node #2: [78, 35, 26] from Operation: 58-32=26 Current State: 38:[78, 35, 26], Operations: ['58-32=26'] Exploring Operation: 78/26=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 78/26=3 Current State: 38:[35, 3], Operations: ['58-32=26', '78/26=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 24, 66, 30, 38 ]
82
[ "24+66=90", "38-30=8", "90-8=82" ]
Current State: 82:[24, 66, 30, 38], Operations: [] Exploring Operation: 24+66=90, Resulting Numbers: [30, 38, 90] Generated Node #2: [30, 38, 90] from Operation: 24+66=90 Current State: 82:[30, 38, 90], Operations: ['24+66=90'] Exploring Operation: 38-30=8, Resulting Numbers: [90, 8] Generated Node #3: [90, 8] from Operation: 38-30=8 Current State: 82:[90, 8], Operations: ['24+66=90', '38-30=8'] Exploring Operation: 90-8=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 85, 72, 3, 24 ]
40
[ "85-72=13", "3+24=27", "13+27=40" ]
Current State: 40:[85, 72, 3, 24], Operations: [] Exploring Operation: 85-72=13, Resulting Numbers: [3, 24, 13] Generated Node #2: [3, 24, 13] from Operation: 85-72=13 Current State: 40:[3, 24, 13], Operations: ['85-72=13'] Exploring Operation: 3+24=27, Resulting Numbers: [13, 27] Generated Node #3: [13, 27] from Operation: 3+24=27 Current State: 40:[13, 27], Operations: ['85-72=13', '3+24=27'] Exploring Operation: 13+27=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 91, 16, 31, 3 ]
86
[ "31-16=15", "15/3=5", "91-5=86" ]
Current State: 86:[91, 16, 31, 3], Operations: [] Exploring Operation: 31-16=15, Resulting Numbers: [91, 3, 15] Generated Node #2: [91, 3, 15] from Operation: 31-16=15 Current State: 86:[91, 3, 15], Operations: ['31-16=15'] Exploring Operation: 15/3=5, Resulting Numbers: [91, 5] Generated Node #3: [91, 5] from Operation: 15/3=5 Current State: 86:[91, 5], Operations: ['31-16=15', '15/3=5'] Exploring Operation: 91-5=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 56, 70, 45, 16 ]
90
[ "70-56=14", "16-14=2", "45*2=90" ]
Current State: 90:[56, 70, 45, 16], Operations: [] Exploring Operation: 70-56=14, Resulting Numbers: [45, 16, 14] Generated Node #2: [45, 16, 14] from Operation: 70-56=14 Current State: 90:[45, 16, 14], Operations: ['70-56=14'] Exploring Operation: 16-14=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 16-14=2 Current State: 90:[45, 2], Operations: ['70-56=14', '16-14=2'] Exploring Operation: 45*2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 82, 51, 56, 18 ]
20
[ "82+18=100", "56-51=5", "100/5=20" ]
Current State: 20:[82, 51, 56, 18], Operations: [] Exploring Operation: 82+18=100, Resulting Numbers: [51, 56, 100] Generated Node #2: [51, 56, 100] from Operation: 82+18=100 Current State: 20:[51, 56, 100], Operations: ['82+18=100'] Exploring Operation: 56-51=5, Resulting Numbers: [100, 5] Generated Node #3: [100, 5] from Operation: 56-51=5 Current State: 20:[100, 5], Operations: ['82+18=100', '56-51=5'] Exploring Operation: 100/5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 81, 93, 50, 73 ]
11
[ "93-81=12", "73-50=23", "23-12=11" ]
Current State: 11:[81, 93, 50, 73], Operations: [] Exploring Operation: 93-81=12, Resulting Numbers: [50, 73, 12] Generated Node #2: [50, 73, 12] from Operation: 93-81=12 Current State: 11:[50, 73, 12], Operations: ['93-81=12'] Exploring Operation: 73-50=23, Resulting Numbers: [12, 23] Generated Node #3: [12, 23] from Operation: 73-50=23 Current State: 11:[12, 23], Operations: ['93-81=12', '73-50=23'] Exploring Operation: 23-12=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 54, 90, 83, 64 ]
70
[ "64-54=10", "90-83=7", "10*7=70" ]
Current State: 70:[54, 90, 83, 64], Operations: [] Exploring Operation: 64-54=10, Resulting Numbers: [90, 83, 10] Generated Node #2: [90, 83, 10] from Operation: 64-54=10 Current State: 70:[90, 83, 10], Operations: ['64-54=10'] Exploring Operation: 90-83=7, Resulting Numbers: [10, 7] Generated Node #3: [10, 7] from Operation: 90-83=7 Current State: 70:[10, 7], Operations: ['64-54=10', '90-83=7'] Exploring Operation: 10*7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 79, 55, 26, 67 ]
17
[ "79-55=24", "67-26=41", "41-24=17" ]
Current State: 17:[79, 55, 26, 67], Operations: [] Exploring Operation: 79-55=24, Resulting Numbers: [26, 67, 24] Generated Node #2: [26, 67, 24] from Operation: 79-55=24 Current State: 17:[26, 67, 24], Operations: ['79-55=24'] Exploring Operation: 67-26=41, Resulting Numbers: [24, 41] Generated Node #3: [24, 41] from Operation: 67-26=41 Current State: 17:[24, 41], Operations: ['79-55=24', '67-26=41'] Exploring Operation: 41-24=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 54, 32, 70, 68 ]
11
[ "54-32=22", "70-68=2", "22/2=11" ]
Current State: 11:[54, 32, 70, 68], Operations: [] Exploring Operation: 54-32=22, Resulting Numbers: [70, 68, 22] Generated Node #2: [70, 68, 22] from Operation: 54-32=22 Current State: 11:[70, 68, 22], Operations: ['54-32=22'] Exploring Operation: 70-68=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 70-68=2 Current State: 11:[22, 2], Operations: ['54-32=22', '70-68=2'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 28, 84, 12, 98 ]
14
[ "84+12=96", "98-96=2", "28/2=14" ]
Current State: 14:[28, 84, 12, 98], Operations: [] Exploring Operation: 84+12=96, Resulting Numbers: [28, 98, 96] Generated Node #2: [28, 98, 96] from Operation: 84+12=96 Current State: 14:[28, 98, 96], Operations: ['84+12=96'] Exploring Operation: 98-96=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 98-96=2 Current State: 14:[28, 2], Operations: ['84+12=96', '98-96=2'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 17, 9, 29, 1 ]
56
[ "17+9=26", "29+1=30", "26+30=56" ]
Current State: 56:[17, 9, 29, 1], Operations: [] Exploring Operation: 17+9=26, Resulting Numbers: [29, 1, 26] Generated Node #2: [29, 1, 26] from Operation: 17+9=26 Current State: 56:[29, 1, 26], Operations: ['17+9=26'] Exploring Operation: 29+1=30, Resulting Numbers: [26, 30] Generated Node #3: [26, 30] from Operation: 29+1=30 Current State: 56:[26, 30], Operations: ['17+9=26', '29+1=30'] Exploring Operation: 26+30=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 24, 16, 48, 74 ]
66
[ "24+16=40", "74-48=26", "40+26=66" ]
Current State: 66:[24, 16, 48, 74], Operations: [] Exploring Operation: 24+16=40, Resulting Numbers: [48, 74, 40] Generated Node #2: [48, 74, 40] from Operation: 24+16=40 Current State: 66:[48, 74, 40], Operations: ['24+16=40'] Exploring Operation: 74-48=26, Resulting Numbers: [40, 26] Generated Node #3: [40, 26] from Operation: 74-48=26 Current State: 66:[40, 26], Operations: ['24+16=40', '74-48=26'] Exploring Operation: 40+26=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 34, 81, 2, 78 ]
96
[ "34-2=32", "81-78=3", "32*3=96" ]
Current State: 96:[34, 81, 2, 78], Operations: [] Exploring Operation: 34-2=32, Resulting Numbers: [81, 78, 32] Generated Node #2: [81, 78, 32] from Operation: 34-2=32 Current State: 96:[81, 78, 32], Operations: ['34-2=32'] Exploring Operation: 81-78=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 81-78=3 Current State: 96:[32, 3], Operations: ['34-2=32', '81-78=3'] Exploring Operation: 32*3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 64, 39, 54, 39 ]
54
[ "39-39=0", "64*0=0", "54+0=54" ]
Current State: 54:[64, 39, 54, 39], Operations: [] Exploring Operation: 39-39=0, Resulting Numbers: [64, 54, 0] Generated Node #2: [64, 54, 0] from Operation: 39-39=0 Current State: 54:[64, 54, 0], Operations: ['39-39=0'] Exploring Operation: 64*0=0, Resulting Numbers: [54, 0] Generated Node #3: [54, 0] from Operation: 64*0=0 Current State: 54:[54, 0], Operations: ['39-39=0', '64*0=0'] Exploring Operation: 54+0=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 55, 68, 57, 36 ]
80
[ "68-55=13", "57+36=93", "93-13=80" ]
Current State: 80:[55, 68, 57, 36], Operations: [] Exploring Operation: 68-55=13, Resulting Numbers: [57, 36, 13] Generated Node #2: [57, 36, 13] from Operation: 68-55=13 Current State: 80:[57, 36, 13], Operations: ['68-55=13'] Exploring Operation: 57+36=93, Resulting Numbers: [13, 93] Generated Node #3: [13, 93] from Operation: 57+36=93 Current State: 80:[13, 93], Operations: ['68-55=13', '57+36=93'] Exploring Operation: 93-13=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 79, 43, 87, 51 ]
16
[ "79+43=122", "87+51=138", "138-122=16" ]
Current State: 16:[79, 43, 87, 51], Operations: [] Exploring Operation: 79+43=122, Resulting Numbers: [87, 51, 122] Generated Node #2: [87, 51, 122] from Operation: 79+43=122 Current State: 16:[87, 51, 122], Operations: ['79+43=122'] Exploring Operation: 87+51=138, Resulting Numbers: [122, 138] Generated Node #3: [122, 138] from Operation: 87+51=138 Current State: 16:[122, 138], Operations: ['79+43=122', '87+51=138'] Exploring Operation: 138-122=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 13, 11, 10, 34 ]
63
[ "13+34=47", "11*10=110", "110-47=63" ]
Current State: 63:[13, 11, 10, 34], Operations: [] Exploring Operation: 13+34=47, Resulting Numbers: [11, 10, 47] Generated Node #2: [11, 10, 47] from Operation: 13+34=47 Current State: 63:[11, 10, 47], Operations: ['13+34=47'] Exploring Operation: 11*10=110, Resulting Numbers: [47, 110] Generated Node #3: [47, 110] from Operation: 11*10=110 Current State: 63:[47, 110], Operations: ['13+34=47', '11*10=110'] Exploring Operation: 110-47=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 30, 42, 27, 36 ]
21
[ "42-30=12", "36-27=9", "12+9=21" ]
Current State: 21:[30, 42, 27, 36], Operations: [] Exploring Operation: 42-30=12, Resulting Numbers: [27, 36, 12] Generated Node #2: [27, 36, 12] from Operation: 42-30=12 Current State: 21:[27, 36, 12], Operations: ['42-30=12'] Exploring Operation: 36-27=9, Resulting Numbers: [12, 9] Generated Node #3: [12, 9] from Operation: 36-27=9 Current State: 21:[12, 9], Operations: ['42-30=12', '36-27=9'] Exploring Operation: 12+9=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 95, 34, 90, 17 ]
22
[ "95+34=129", "90+17=107", "129-107=22" ]
Current State: 22:[95, 34, 90, 17], Operations: [] Exploring Operation: 95+34=129, Resulting Numbers: [90, 17, 129] Generated Node #2: [90, 17, 129] from Operation: 95+34=129 Current State: 22:[90, 17, 129], Operations: ['95+34=129'] Exploring Operation: 90+17=107, Resulting Numbers: [129, 107] Generated Node #3: [129, 107] from Operation: 90+17=107 Current State: 22:[129, 107], Operations: ['95+34=129', '90+17=107'] Exploring Operation: 129-107=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 99, 37, 85, 96 ]
26
[ "99-96=3", "37*3=111", "111-85=26" ]
Current State: 26:[99, 37, 85, 96], Operations: [] Exploring Operation: 99-96=3, Resulting Numbers: [37, 85, 3] Generated Node #2: [37, 85, 3] from Operation: 99-96=3 Current State: 26:[37, 85, 3], Operations: ['99-96=3'] Exploring Operation: 37*3=111, Resulting Numbers: [85, 111] Generated Node #3: [85, 111] from Operation: 37*3=111 Current State: 26:[85, 111], Operations: ['99-96=3', '37*3=111'] Exploring Operation: 111-85=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 17, 19, 70, 23 ]
83
[ "17+19=36", "70-23=47", "36+47=83" ]
Current State: 83:[17, 19, 70, 23], Operations: [] Exploring Operation: 17+19=36, Resulting Numbers: [70, 23, 36] Generated Node #2: [70, 23, 36] from Operation: 17+19=36 Current State: 83:[70, 23, 36], Operations: ['17+19=36'] Exploring Operation: 70-23=47, Resulting Numbers: [36, 47] Generated Node #3: [36, 47] from Operation: 70-23=47 Current State: 83:[36, 47], Operations: ['17+19=36', '70-23=47'] Exploring Operation: 36+47=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 63, 8, 80, 84 ]
95
[ "84-80=4", "8*4=32", "63+32=95" ]
Current State: 95:[63, 8, 80, 84], Operations: [] Exploring Operation: 84-80=4, Resulting Numbers: [63, 8, 4] Generated Node #2: [63, 8, 4] from Operation: 84-80=4 Current State: 95:[63, 8, 4], Operations: ['84-80=4'] Exploring Operation: 8*4=32, Resulting Numbers: [63, 32] Generated Node #3: [63, 32] from Operation: 8*4=32 Current State: 95:[63, 32], Operations: ['84-80=4', '8*4=32'] Exploring Operation: 63+32=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 43, 6, 31, 2 ]
12
[ "43-6=37", "37-31=6", "2*6=12" ]
Current State: 12:[43, 6, 31, 2], Operations: [] Exploring Operation: 43-6=37, Resulting Numbers: [31, 2, 37] Generated Node #2: [31, 2, 37] from Operation: 43-6=37 Current State: 12:[31, 2, 37], Operations: ['43-6=37'] Exploring Operation: 37-31=6, Resulting Numbers: [2, 6] Generated Node #3: [2, 6] from Operation: 37-31=6 Current State: 12:[2, 6], Operations: ['43-6=37', '37-31=6'] Exploring Operation: 2*6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 20, 80, 50, 93 ]
91
[ "20+80=100", "100/50=2", "93-2=91" ]
Current State: 91:[20, 80, 50, 93], Operations: [] Exploring Operation: 20+80=100, Resulting Numbers: [50, 93, 100] Generated Node #2: [50, 93, 100] from Operation: 20+80=100 Current State: 91:[50, 93, 100], Operations: ['20+80=100'] Exploring Operation: 100/50=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 100/50=2 Current State: 91:[93, 2], Operations: ['20+80=100', '100/50=2'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 18, 80, 11, 57 ]
61
[ "18*11=198", "80+57=137", "198-137=61" ]
Current State: 61:[18, 80, 11, 57], Operations: [] Exploring Operation: 18*11=198, Resulting Numbers: [80, 57, 198] Generated Node #2: [80, 57, 198] from Operation: 18*11=198 Current State: 61:[80, 57, 198], Operations: ['18*11=198'] Exploring Operation: 80+57=137, Resulting Numbers: [198, 137] Generated Node #3: [198, 137] from Operation: 80+57=137 Current State: 61:[198, 137], Operations: ['18*11=198', '80+57=137'] Exploring Operation: 198-137=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 88, 83, 40, 56 ]
91
[ "88-83=5", "40+56=96", "96-5=91" ]
Current State: 91:[88, 83, 40, 56], Operations: [] Exploring Operation: 88-83=5, Resulting Numbers: [40, 56, 5] Generated Node #2: [40, 56, 5] from Operation: 88-83=5 Current State: 91:[40, 56, 5], Operations: ['88-83=5'] Exploring Operation: 40+56=96, Resulting Numbers: [5, 96] Generated Node #3: [5, 96] from Operation: 40+56=96 Current State: 91:[5, 96], Operations: ['88-83=5', '40+56=96'] Exploring Operation: 96-5=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 68, 29, 24, 76 ]
89
[ "29*76=2204", "2204-68=2136", "2136/24=89" ]
Current State: 89:[68, 29, 24, 76], Operations: [] Exploring Operation: 29*76=2204, Resulting Numbers: [68, 24, 2204] Generated Node #2: [68, 24, 2204] from Operation: 29*76=2204 Current State: 89:[68, 24, 2204], Operations: ['29*76=2204'] Exploring Operation: 2204-68=2136, Resulting Numbers: [24, 2136] Generated Node #3: [24, 2136] from Operation: 2204-68=2136 Current State: 89:[24, 2136], Operations: ['29*76=2204', '2204-68=2136'] Exploring Operation: 2136/24=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 35, 25, 87, 26 ]
53
[ "35+25=60", "87+26=113", "113-60=53" ]
Current State: 53:[35, 25, 87, 26], Operations: [] Exploring Operation: 35+25=60, Resulting Numbers: [87, 26, 60] Generated Node #2: [87, 26, 60] from Operation: 35+25=60 Current State: 53:[87, 26, 60], Operations: ['35+25=60'] Exploring Operation: 87+26=113, Resulting Numbers: [60, 113] Generated Node #3: [60, 113] from Operation: 87+26=113 Current State: 53:[60, 113], Operations: ['35+25=60', '87+26=113'] Exploring Operation: 113-60=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 54, 3, 99, 78 ]
93
[ "99-54=45", "45/3=15", "78+15=93" ]
Current State: 93:[54, 3, 99, 78], Operations: [] Exploring Operation: 99-54=45, Resulting Numbers: [3, 78, 45] Generated Node #2: [3, 78, 45] from Operation: 99-54=45 Current State: 93:[3, 78, 45], Operations: ['99-54=45'] Exploring Operation: 45/3=15, Resulting Numbers: [78, 15] Generated Node #3: [78, 15] from Operation: 45/3=15 Current State: 93:[78, 15], Operations: ['99-54=45', '45/3=15'] Exploring Operation: 78+15=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 6, 3, 99, 36 ]
31
[ "36/6=6", "99-6=93", "93/3=31" ]
Current State: 31:[6, 3, 99, 36], Operations: [] Exploring Operation: 36/6=6, Resulting Numbers: [3, 99, 6] Generated Node #2: [3, 99, 6] from Operation: 36/6=6 Current State: 31:[3, 99, 6], Operations: ['36/6=6'] Exploring Operation: 99-6=93, Resulting Numbers: [3, 93] Generated Node #3: [3, 93] from Operation: 99-6=93 Current State: 31:[3, 93], Operations: ['36/6=6', '99-6=93'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 83, 68, 2, 88 ]
59
[ "83-68=15", "88/2=44", "15+44=59" ]
Current State: 59:[83, 68, 2, 88], Operations: [] Exploring Operation: 83-68=15, Resulting Numbers: [2, 88, 15] Generated Node #2: [2, 88, 15] from Operation: 83-68=15 Current State: 59:[2, 88, 15], Operations: ['83-68=15'] Exploring Operation: 88/2=44, Resulting Numbers: [15, 44] Generated Node #3: [15, 44] from Operation: 88/2=44 Current State: 59:[15, 44], Operations: ['83-68=15', '88/2=44'] Exploring Operation: 15+44=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 40, 85, 64, 40 ]
20
[ "40/40=1", "85-64=21", "21-1=20" ]
Current State: 20:[40, 85, 64, 40], Operations: [] Exploring Operation: 40/40=1, Resulting Numbers: [85, 64, 1] Generated Node #2: [85, 64, 1] from Operation: 40/40=1 Current State: 20:[85, 64, 1], Operations: ['40/40=1'] Exploring Operation: 85-64=21, Resulting Numbers: [1, 21] Generated Node #3: [1, 21] from Operation: 85-64=21 Current State: 20:[1, 21], Operations: ['40/40=1', '85-64=21'] Exploring Operation: 21-1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 84, 93, 2, 99 ]
21
[ "84+93=177", "2*99=198", "198-177=21" ]
Current State: 21:[84, 93, 2, 99], Operations: [] Exploring Operation: 84+93=177, Resulting Numbers: [2, 99, 177] Generated Node #2: [2, 99, 177] from Operation: 84+93=177 Current State: 21:[2, 99, 177], Operations: ['84+93=177'] Exploring Operation: 2*99=198, Resulting Numbers: [177, 198] Generated Node #3: [177, 198] from Operation: 2*99=198 Current State: 21:[177, 198], Operations: ['84+93=177', '2*99=198'] Exploring Operation: 198-177=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 30, 19, 93, 31 ]
52
[ "30+19=49", "93/31=3", "49+3=52" ]
Current State: 52:[30, 19, 93, 31], Operations: [] Exploring Operation: 30+19=49, Resulting Numbers: [93, 31, 49] Generated Node #2: [93, 31, 49] from Operation: 30+19=49 Current State: 52:[93, 31, 49], Operations: ['30+19=49'] Exploring Operation: 93/31=3, Resulting Numbers: [49, 3] Generated Node #3: [49, 3] from Operation: 93/31=3 Current State: 52:[49, 3], Operations: ['30+19=49', '93/31=3'] Exploring Operation: 49+3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 89, 75, 28, 78 ]
39
[ "89-75=14", "28/14=2", "78/2=39" ]
Current State: 39:[89, 75, 28, 78], Operations: [] Exploring Operation: 89-75=14, Resulting Numbers: [28, 78, 14] Generated Node #2: [28, 78, 14] from Operation: 89-75=14 Current State: 39:[28, 78, 14], Operations: ['89-75=14'] Exploring Operation: 28/14=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 28/14=2 Current State: 39:[78, 2], Operations: ['89-75=14', '28/14=2'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 33, 76, 3, 3 ]
69
[ "33*3=99", "99-76=23", "3*23=69" ]
Current State: 69:[33, 76, 3, 3], Operations: [] Exploring Operation: 33*3=99, Resulting Numbers: [76, 99] Generated Node #2: [76, 99] from Operation: 33*3=99 Current State: 69:[76, 99], Operations: ['33*3=99'] Exploring Operation: 99-76=23, Resulting Numbers: [23] 23,69 equal: Goal Reached Exploring Operation: 3*23=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 18, 2, 82, 43 ]
11
[ "82-18=64", "64/2=32", "43-32=11" ]
Current State: 11:[18, 2, 82, 43], Operations: [] Exploring Operation: 82-18=64, Resulting Numbers: [2, 43, 64] Generated Node #2: [2, 43, 64] from Operation: 82-18=64 Current State: 11:[2, 43, 64], Operations: ['82-18=64'] Exploring Operation: 64/2=32, Resulting Numbers: [43, 32] Generated Node #3: [43, 32] from Operation: 64/2=32 Current State: 11:[43, 32], Operations: ['82-18=64', '64/2=32'] Exploring Operation: 43-32=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 2, 5, 69, 7 ]
79
[ "5-2=3", "69+7=76", "3+76=79" ]
Current State: 79:[2, 5, 69, 7], Operations: [] Exploring Operation: 5-2=3, Resulting Numbers: [69, 7, 3] Generated Node #2: [69, 7, 3] from Operation: 5-2=3 Current State: 79:[69, 7, 3], Operations: ['5-2=3'] Exploring Operation: 69+7=76, Resulting Numbers: [3, 76] Generated Node #3: [3, 76] from Operation: 69+7=76 Current State: 79:[3, 76], Operations: ['5-2=3', '69+7=76'] Exploring Operation: 3+76=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 85, 18, 48, 51 ]
62
[ "85*48=4080", "4080/51=80", "80-18=62" ]
Current State: 62:[85, 18, 48, 51], Operations: [] Exploring Operation: 85*48=4080, Resulting Numbers: [18, 51, 4080] Generated Node #2: [18, 51, 4080] from Operation: 85*48=4080 Current State: 62:[18, 51, 4080], Operations: ['85*48=4080'] Exploring Operation: 4080/51=80, Resulting Numbers: [18, 80] Generated Node #3: [18, 80] from Operation: 4080/51=80 Current State: 62:[18, 80], Operations: ['85*48=4080', '4080/51=80'] Exploring Operation: 80-18=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 7, 45, 90, 88 ]
83
[ "88-7=81", "90/45=2", "81+2=83" ]
Current State: 83:[7, 45, 90, 88], Operations: [] Exploring Operation: 88-7=81, Resulting Numbers: [45, 90, 81] Generated Node #2: [45, 90, 81] from Operation: 88-7=81 Current State: 83:[45, 90, 81], Operations: ['88-7=81'] Exploring Operation: 90/45=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 90/45=2 Current State: 83:[81, 2], Operations: ['88-7=81', '90/45=2'] Exploring Operation: 81+2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 90, 12, 57, 7 ]
39
[ "12-7=5", "90/5=18", "57-18=39" ]
Current State: 39:[90, 12, 57, 7], Operations: [] Exploring Operation: 12-7=5, Resulting Numbers: [90, 57, 5] Generated Node #2: [90, 57, 5] from Operation: 12-7=5 Current State: 39:[90, 57, 5], Operations: ['12-7=5'] Exploring Operation: 90/5=18, Resulting Numbers: [57, 18] Generated Node #3: [57, 18] from Operation: 90/5=18 Current State: 39:[57, 18], Operations: ['12-7=5', '90/5=18'] Exploring Operation: 57-18=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 69, 85, 16, 20 ]
64
[ "85-69=16", "20-16=4", "16*4=64" ]
Current State: 64:[69, 85, 16, 20], Operations: [] Exploring Operation: 85-69=16, Resulting Numbers: [16, 20, 16] Generated Node #2: [16, 20, 16] from Operation: 85-69=16 Current State: 64:[16, 20, 16], Operations: ['85-69=16'] Exploring Operation: 20-16=4, Resulting Numbers: [4] 4,64 equal: Goal Reached Exploring Operation: 16*4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 94, 96, 16, 24 ]
90
[ "96/16=6", "24/6=4", "94-4=90" ]
Current State: 90:[94, 96, 16, 24], Operations: [] Exploring Operation: 96/16=6, Resulting Numbers: [94, 24, 6] Generated Node #2: [94, 24, 6] from Operation: 96/16=6 Current State: 90:[94, 24, 6], Operations: ['96/16=6'] Exploring Operation: 24/6=4, Resulting Numbers: [94, 4] Generated Node #3: [94, 4] from Operation: 24/6=4 Current State: 90:[94, 4], Operations: ['96/16=6', '24/6=4'] Exploring Operation: 94-4=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 2, 7, 67, 24 ]
87
[ "24-2=22", "7*22=154", "154-67=87" ]
Current State: 87:[2, 7, 67, 24], Operations: [] Exploring Operation: 24-2=22, Resulting Numbers: [7, 67, 22] Generated Node #2: [7, 67, 22] from Operation: 24-2=22 Current State: 87:[7, 67, 22], Operations: ['24-2=22'] Exploring Operation: 7*22=154, Resulting Numbers: [67, 154] Generated Node #3: [67, 154] from Operation: 7*22=154 Current State: 87:[67, 154], Operations: ['24-2=22', '7*22=154'] Exploring Operation: 154-67=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 60, 38, 24, 74 ]
90
[ "74-38=36", "60*36=2160", "2160/24=90" ]
Current State: 90:[60, 38, 24, 74], Operations: [] Exploring Operation: 74-38=36, Resulting Numbers: [60, 24, 36] Generated Node #2: [60, 24, 36] from Operation: 74-38=36 Current State: 90:[60, 24, 36], Operations: ['74-38=36'] Exploring Operation: 60*36=2160, Resulting Numbers: [24, 2160] Generated Node #3: [24, 2160] from Operation: 60*36=2160 Current State: 90:[24, 2160], Operations: ['74-38=36', '60*36=2160'] Exploring Operation: 2160/24=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 57, 43, 13, 70 ]
69
[ "57-43=14", "13+70=83", "83-14=69" ]
Current State: 69:[57, 43, 13, 70], Operations: [] Exploring Operation: 57-43=14, Resulting Numbers: [13, 70, 14] Generated Node #2: [13, 70, 14] from Operation: 57-43=14 Current State: 69:[13, 70, 14], Operations: ['57-43=14'] Exploring Operation: 13+70=83, Resulting Numbers: [14, 83] Generated Node #3: [14, 83] from Operation: 13+70=83 Current State: 69:[14, 83], Operations: ['57-43=14', '13+70=83'] Exploring Operation: 83-14=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 4, 60, 59, 69 ]
28
[ "59+69=128", "128/4=32", "60-32=28" ]
Current State: 28:[4, 60, 59, 69], Operations: [] Exploring Operation: 59+69=128, Resulting Numbers: [4, 60, 128] Generated Node #2: [4, 60, 128] from Operation: 59+69=128 Current State: 28:[4, 60, 128], Operations: ['59+69=128'] Exploring Operation: 128/4=32, Resulting Numbers: [60, 32] Generated Node #3: [60, 32] from Operation: 128/4=32 Current State: 28:[60, 32], Operations: ['59+69=128', '128/4=32'] Exploring Operation: 60-32=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 2, 83, 94, 41 ]
32
[ "2+83=85", "94-41=53", "85-53=32" ]
Current State: 32:[2, 83, 94, 41], Operations: [] Exploring Operation: 2+83=85, Resulting Numbers: [94, 41, 85] Generated Node #2: [94, 41, 85] from Operation: 2+83=85 Current State: 32:[94, 41, 85], Operations: ['2+83=85'] Exploring Operation: 94-41=53, Resulting Numbers: [85, 53] Generated Node #3: [85, 53] from Operation: 94-41=53 Current State: 32:[85, 53], Operations: ['2+83=85', '94-41=53'] Exploring Operation: 85-53=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 75, 99, 33, 88 ]
97
[ "99-75=24", "33+88=121", "121-24=97" ]
Current State: 97:[75, 99, 33, 88], Operations: [] Exploring Operation: 99-75=24, Resulting Numbers: [33, 88, 24] Generated Node #2: [33, 88, 24] from Operation: 99-75=24 Current State: 97:[33, 88, 24], Operations: ['99-75=24'] Exploring Operation: 33+88=121, Resulting Numbers: [24, 121] Generated Node #3: [24, 121] from Operation: 33+88=121 Current State: 97:[24, 121], Operations: ['99-75=24', '33+88=121'] Exploring Operation: 121-24=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 48, 18, 70, 95 ]
41
[ "48+18=66", "95-70=25", "66-25=41" ]
Current State: 41:[48, 18, 70, 95], Operations: [] Exploring Operation: 48+18=66, Resulting Numbers: [70, 95, 66] Generated Node #2: [70, 95, 66] from Operation: 48+18=66 Current State: 41:[70, 95, 66], Operations: ['48+18=66'] Exploring Operation: 95-70=25, Resulting Numbers: [66, 25] Generated Node #3: [66, 25] from Operation: 95-70=25 Current State: 41:[66, 25], Operations: ['48+18=66', '95-70=25'] Exploring Operation: 66-25=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 2, 9, 18, 16 ]
30
[ "2*16=32", "18/9=2", "32-2=30" ]
Current State: 30:[2, 9, 18, 16], Operations: [] Exploring Operation: 2*16=32, Resulting Numbers: [9, 18, 32] Generated Node #2: [9, 18, 32] from Operation: 2*16=32 Current State: 30:[9, 18, 32], Operations: ['2*16=32'] Exploring Operation: 18/9=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 18/9=2 Current State: 30:[32, 2], Operations: ['2*16=32', '18/9=2'] Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 76, 5, 51, 9 ]
29
[ "76-5=71", "51-9=42", "71-42=29" ]
Current State: 29:[76, 5, 51, 9], Operations: [] Exploring Operation: 76-5=71, Resulting Numbers: [51, 9, 71] Generated Node #2: [51, 9, 71] from Operation: 76-5=71 Current State: 29:[51, 9, 71], Operations: ['76-5=71'] Exploring Operation: 51-9=42, Resulting Numbers: [71, 42] Generated Node #3: [71, 42] from Operation: 51-9=42 Current State: 29:[71, 42], Operations: ['76-5=71', '51-9=42'] Exploring Operation: 71-42=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 7, 90, 97, 95 ]
10
[ "7+97=104", "104-95=9", "90/9=10" ]
Current State: 10:[7, 90, 97, 95], Operations: [] Exploring Operation: 7+97=104, Resulting Numbers: [90, 95, 104] Generated Node #2: [90, 95, 104] from Operation: 7+97=104 Current State: 10:[90, 95, 104], Operations: ['7+97=104'] Exploring Operation: 104-95=9, Resulting Numbers: [90, 9] Generated Node #3: [90, 9] from Operation: 104-95=9 Current State: 10:[90, 9], Operations: ['7+97=104', '104-95=9'] Exploring Operation: 90/9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 59, 44, 23, 44 ]
37
[ "59-23=36", "44/44=1", "36+1=37" ]
Current State: 37:[59, 44, 23, 44], Operations: [] Exploring Operation: 59-23=36, Resulting Numbers: [44, 44, 36] Generated Node #2: [44, 44, 36] from Operation: 59-23=36 Current State: 37:[44, 44, 36], Operations: ['59-23=36'] Exploring Operation: 44/44=1, Resulting Numbers: [36, 1] Generated Node #3: [36, 1] from Operation: 44/44=1 Current State: 37:[36, 1], Operations: ['59-23=36', '44/44=1'] Exploring Operation: 36+1=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 85, 27, 2, 97 ]
66
[ "97-85=12", "27*2=54", "12+54=66" ]
Current State: 66:[85, 27, 2, 97], Operations: [] Exploring Operation: 97-85=12, Resulting Numbers: [27, 2, 12] Generated Node #2: [27, 2, 12] from Operation: 97-85=12 Current State: 66:[27, 2, 12], Operations: ['97-85=12'] Exploring Operation: 27*2=54, Resulting Numbers: [12, 54] Generated Node #3: [12, 54] from Operation: 27*2=54 Current State: 66:[12, 54], Operations: ['97-85=12', '27*2=54'] Exploring Operation: 12+54=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 10, 38, 16, 50 ]
82
[ "10+38=48", "50-16=34", "48+34=82" ]
Current State: 82:[10, 38, 16, 50], Operations: [] Exploring Operation: 10+38=48, Resulting Numbers: [16, 50, 48] Generated Node #2: [16, 50, 48] from Operation: 10+38=48 Current State: 82:[16, 50, 48], Operations: ['10+38=48'] Exploring Operation: 50-16=34, Resulting Numbers: [48, 34] Generated Node #3: [48, 34] from Operation: 50-16=34 Current State: 82:[48, 34], Operations: ['10+38=48', '50-16=34'] Exploring Operation: 48+34=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 76, 40, 12, 28 ]
96
[ "76-40=36", "36-28=8", "12*8=96" ]
Current State: 96:[76, 40, 12, 28], Operations: [] Exploring Operation: 76-40=36, Resulting Numbers: [12, 28, 36] Generated Node #2: [12, 28, 36] from Operation: 76-40=36 Current State: 96:[12, 28, 36], Operations: ['76-40=36'] Exploring Operation: 36-28=8, Resulting Numbers: [12, 8] Generated Node #3: [12, 8] from Operation: 36-28=8 Current State: 96:[12, 8], Operations: ['76-40=36', '36-28=8'] Exploring Operation: 12*8=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4