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
[ 5, 2, 98, 31 ]
59
[ "5*31=155", "98-2=96", "155-96=59" ]
Current State: 59:[5, 2, 98, 31], Operations: [] Exploring Operation: 5*31=155, Resulting Numbers: [2, 98, 155] Generated Node #2: [2, 98, 155] from Operation: 5*31=155 Current State: 59:[2, 98, 155], Operations: ['5*31=155'] Exploring Operation: 98-2=96, Resulting Numbers: [155, 96] Generated Node #3: [155, 96] from Operation: 98-2=96 Current State: 59:[155, 96], Operations: ['5*31=155', '98-2=96'] Exploring Operation: 155-96=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 8, 24, 25, 35 ]
75
[ "8+24=32", "35-32=3", "25*3=75" ]
Current State: 75:[8, 24, 25, 35], Operations: [] Exploring Operation: 8+24=32, Resulting Numbers: [25, 35, 32] Generated Node #2: [25, 35, 32] from Operation: 8+24=32 Current State: 75:[25, 35, 32], Operations: ['8+24=32'] Exploring Operation: 35-32=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 35-32=3 Current State: 75:[25, 3], Operations: ['8+24=32', '35-32=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 84, 1, 56, 51 ]
33
[ "56*51=2856", "2856/84=34", "34-1=33" ]
Current State: 33:[84, 1, 56, 51], Operations: [] Exploring Operation: 56*51=2856, Resulting Numbers: [84, 1, 2856] Generated Node #2: [84, 1, 2856] from Operation: 56*51=2856 Current State: 33:[84, 1, 2856], Operations: ['56*51=2856'] Exploring Operation: 2856/84=34, Resulting Numbers: [1, 34] Generated Node #3: [1, 34] from Operation: 2856/84=34 Current State: 33:[1, 34], Operations: ['56*51=2856', '2856/84=34'] Exploring Operation: 34-1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 12, 13, 14, 36 ]
59
[ "14-12=2", "36*2=72", "72-13=59" ]
Current State: 59:[12, 13, 14, 36], Operations: [] Exploring Operation: 14-12=2, Resulting Numbers: [13, 36, 2] Generated Node #2: [13, 36, 2] from Operation: 14-12=2 Current State: 59:[13, 36, 2], Operations: ['14-12=2'] Exploring Operation: 36*2=72, Resulting Numbers: [13, 72] Generated Node #3: [13, 72] from Operation: 36*2=72 Current State: 59:[13, 72], Operations: ['14-12=2', '36*2=72'] Exploring Operation: 72-13=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 3, 2, 21, 37 ]
63
[ "3+2=5", "21+37=58", "5+58=63" ]
Current State: 63:[3, 2, 21, 37], Operations: [] Exploring Operation: 3+2=5, Resulting Numbers: [21, 37, 5] Generated Node #2: [21, 37, 5] from Operation: 3+2=5 Current State: 63:[21, 37, 5], Operations: ['3+2=5'] Exploring Operation: 21+37=58, Resulting Numbers: [5, 58] Generated Node #3: [5, 58] from Operation: 21+37=58 Current State: 63:[5, 58], Operations: ['3+2=5', '21+37=58'] Exploring Operation: 5+58=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 2, 37, 83, 74 ]
60
[ "83-37=46", "74+46=120", "120/2=60" ]
Current State: 60:[2, 37, 83, 74], Operations: [] Exploring Operation: 83-37=46, Resulting Numbers: [2, 74, 46] Generated Node #2: [2, 74, 46] from Operation: 83-37=46 Current State: 60:[2, 74, 46], Operations: ['83-37=46'] Exploring Operation: 74+46=120, Resulting Numbers: [2, 120] Generated Node #3: [2, 120] from Operation: 74+46=120 Current State: 60:[2, 120], Operations: ['83-37=46', '74+46=120'] Exploring Operation: 120/2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 87, 9, 19, 4 ]
80
[ "87+4=91", "9*19=171", "171-91=80" ]
Current State: 80:[87, 9, 19, 4], Operations: [] Exploring Operation: 87+4=91, Resulting Numbers: [9, 19, 91] Generated Node #2: [9, 19, 91] from Operation: 87+4=91 Current State: 80:[9, 19, 91], Operations: ['87+4=91'] Exploring Operation: 9*19=171, Resulting Numbers: [91, 171] Generated Node #3: [91, 171] from Operation: 9*19=171 Current State: 80:[91, 171], Operations: ['87+4=91', '9*19=171'] Exploring Operation: 171-91=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 24, 60, 9, 96 ]
73
[ "96/24=4", "60+9=69", "4+69=73" ]
Current State: 73:[24, 60, 9, 96], Operations: [] Exploring Operation: 96/24=4, Resulting Numbers: [60, 9, 4] Generated Node #2: [60, 9, 4] from Operation: 96/24=4 Current State: 73:[60, 9, 4], Operations: ['96/24=4'] Exploring Operation: 60+9=69, Resulting Numbers: [4, 69] Generated Node #3: [4, 69] from Operation: 60+9=69 Current State: 73:[4, 69], Operations: ['96/24=4', '60+9=69'] Exploring Operation: 4+69=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 55, 48, 99, 50 ]
11
[ "50-48=2", "55*2=110", "110-99=11" ]
Current State: 11:[55, 48, 99, 50], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [55, 99, 2] Generated Node #2: [55, 99, 2] from Operation: 50-48=2 Current State: 11:[55, 99, 2], Operations: ['50-48=2'] Exploring Operation: 55*2=110, Resulting Numbers: [99, 110] Generated Node #3: [99, 110] from Operation: 55*2=110 Current State: 11:[99, 110], Operations: ['50-48=2', '55*2=110'] Exploring Operation: 110-99=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 94, 31, 50, 19 ]
93
[ "50-31=19", "19/19=1", "94-1=93" ]
Current State: 93:[94, 31, 50, 19], Operations: [] Exploring Operation: 50-31=19, Resulting Numbers: [94, 19, 19] Generated Node #2: [94, 19, 19] from Operation: 50-31=19 Current State: 93:[94, 19, 19], Operations: ['50-31=19'] Exploring Operation: 19/19=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 19/19=1 Current State: 93:[94, 1], Operations: ['50-31=19', '19/19=1'] Exploring Operation: 94-1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 41, 6, 79, 44 ]
24
[ "41+79=120", "120/6=20", "44-20=24" ]
Current State: 24:[41, 6, 79, 44], Operations: [] Exploring Operation: 41+79=120, Resulting Numbers: [6, 44, 120] Generated Node #2: [6, 44, 120] from Operation: 41+79=120 Current State: 24:[6, 44, 120], Operations: ['41+79=120'] Exploring Operation: 120/6=20, Resulting Numbers: [44, 20] Generated Node #3: [44, 20] from Operation: 120/6=20 Current State: 24:[44, 20], Operations: ['41+79=120', '120/6=20'] Exploring Operation: 44-20=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 37, 2, 58, 15 ]
23
[ "37+15=52", "58/2=29", "52-29=23" ]
Current State: 23:[37, 2, 58, 15], Operations: [] Exploring Operation: 37+15=52, Resulting Numbers: [2, 58, 52] Generated Node #2: [2, 58, 52] from Operation: 37+15=52 Current State: 23:[2, 58, 52], Operations: ['37+15=52'] Exploring Operation: 58/2=29, Resulting Numbers: [52, 29] Generated Node #3: [52, 29] from Operation: 58/2=29 Current State: 23:[52, 29], Operations: ['37+15=52', '58/2=29'] Exploring Operation: 52-29=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 13, 45, 46, 69 ]
83
[ "45-13=32", "46+69=115", "115-32=83" ]
Current State: 83:[13, 45, 46, 69], Operations: [] Exploring Operation: 45-13=32, Resulting Numbers: [46, 69, 32] Generated Node #2: [46, 69, 32] from Operation: 45-13=32 Current State: 83:[46, 69, 32], Operations: ['45-13=32'] Exploring Operation: 46+69=115, Resulting Numbers: [32, 115] Generated Node #3: [32, 115] from Operation: 46+69=115 Current State: 83:[32, 115], Operations: ['45-13=32', '46+69=115'] Exploring Operation: 115-32=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 43, 97, 4, 35 ]
93
[ "97-43=54", "4+35=39", "54+39=93" ]
Current State: 93:[43, 97, 4, 35], Operations: [] Exploring Operation: 97-43=54, Resulting Numbers: [4, 35, 54] Generated Node #2: [4, 35, 54] from Operation: 97-43=54 Current State: 93:[4, 35, 54], Operations: ['97-43=54'] Exploring Operation: 4+35=39, Resulting Numbers: [54, 39] Generated Node #3: [54, 39] from Operation: 4+35=39 Current State: 93:[54, 39], Operations: ['97-43=54', '4+35=39'] Exploring Operation: 54+39=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 68, 42, 25, 23 ]
16
[ "25-23=2", "42*2=84", "84-68=16" ]
Current State: 16:[68, 42, 25, 23], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [68, 42, 2] Generated Node #2: [68, 42, 2] from Operation: 25-23=2 Current State: 16:[68, 42, 2], Operations: ['25-23=2'] Exploring Operation: 42*2=84, Resulting Numbers: [68, 84] Generated Node #3: [68, 84] from Operation: 42*2=84 Current State: 16:[68, 84], Operations: ['25-23=2', '42*2=84'] Exploring Operation: 84-68=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 37, 46, 5, 28 ]
57
[ "37+46=83", "5*28=140", "140-83=57" ]
Current State: 57:[37, 46, 5, 28], Operations: [] Exploring Operation: 37+46=83, Resulting Numbers: [5, 28, 83] Generated Node #2: [5, 28, 83] from Operation: 37+46=83 Current State: 57:[5, 28, 83], Operations: ['37+46=83'] Exploring Operation: 5*28=140, Resulting Numbers: [83, 140] Generated Node #3: [83, 140] from Operation: 5*28=140 Current State: 57:[83, 140], Operations: ['37+46=83', '5*28=140'] Exploring Operation: 140-83=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 6, 34, 99, 98 ]
29
[ "34-6=28", "99-98=1", "28+1=29" ]
Current State: 29:[6, 34, 99, 98], Operations: [] Exploring Operation: 34-6=28, Resulting Numbers: [99, 98, 28] Generated Node #2: [99, 98, 28] from Operation: 34-6=28 Current State: 29:[99, 98, 28], Operations: ['34-6=28'] Exploring Operation: 99-98=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 99-98=1 Current State: 29:[28, 1], Operations: ['34-6=28', '99-98=1'] Exploring Operation: 28+1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 68, 87, 15, 95 ]
20
[ "87-68=19", "95/19=5", "15+5=20" ]
Current State: 20:[68, 87, 15, 95], Operations: [] Exploring Operation: 87-68=19, Resulting Numbers: [15, 95, 19] Generated Node #2: [15, 95, 19] from Operation: 87-68=19 Current State: 20:[15, 95, 19], Operations: ['87-68=19'] Exploring Operation: 95/19=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 95/19=5 Current State: 20:[15, 5], Operations: ['87-68=19', '95/19=5'] Exploring Operation: 15+5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 55, 4, 73, 82 ]
91
[ "82-73=9", "4*9=36", "55+36=91" ]
Current State: 91:[55, 4, 73, 82], Operations: [] Exploring Operation: 82-73=9, Resulting Numbers: [55, 4, 9] Generated Node #2: [55, 4, 9] from Operation: 82-73=9 Current State: 91:[55, 4, 9], Operations: ['82-73=9'] Exploring Operation: 4*9=36, Resulting Numbers: [55, 36] Generated Node #3: [55, 36] from Operation: 4*9=36 Current State: 91:[55, 36], Operations: ['82-73=9', '4*9=36'] Exploring Operation: 55+36=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 33, 80, 41, 36 ]
49
[ "41-36=5", "80/5=16", "33+16=49" ]
Current State: 49:[33, 80, 41, 36], Operations: [] Exploring Operation: 41-36=5, Resulting Numbers: [33, 80, 5] Generated Node #2: [33, 80, 5] from Operation: 41-36=5 Current State: 49:[33, 80, 5], Operations: ['41-36=5'] Exploring Operation: 80/5=16, Resulting Numbers: [33, 16] Generated Node #3: [33, 16] from Operation: 80/5=16 Current State: 49:[33, 16], Operations: ['41-36=5', '80/5=16'] Exploring Operation: 33+16=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 12, 19, 20, 23 ]
15
[ "23-20=3", "12/3=4", "19-4=15" ]
Current State: 15:[12, 19, 20, 23], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [12, 19, 3] Generated Node #2: [12, 19, 3] from Operation: 23-20=3 Current State: 15:[12, 19, 3], Operations: ['23-20=3'] Exploring Operation: 12/3=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 12/3=4 Current State: 15:[19, 4], Operations: ['23-20=3', '12/3=4'] Exploring Operation: 19-4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 25, 2, 5, 93 ]
29
[ "93-25=68", "68/2=34", "34-5=29" ]
Current State: 29:[25, 2, 5, 93], Operations: [] Exploring Operation: 93-25=68, Resulting Numbers: [2, 5, 68] Generated Node #2: [2, 5, 68] from Operation: 93-25=68 Current State: 29:[2, 5, 68], Operations: ['93-25=68'] Exploring Operation: 68/2=34, Resulting Numbers: [5, 34] Generated Node #3: [5, 34] from Operation: 68/2=34 Current State: 29:[5, 34], Operations: ['93-25=68', '68/2=34'] Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 31, 29, 30, 20 ]
80
[ "31-29=2", "30*2=60", "20+60=80" ]
Current State: 80:[31, 29, 30, 20], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [30, 20, 2] Generated Node #2: [30, 20, 2] from Operation: 31-29=2 Current State: 80:[30, 20, 2], Operations: ['31-29=2'] Exploring Operation: 30*2=60, Resulting Numbers: [20, 60] Generated Node #3: [20, 60] from Operation: 30*2=60 Current State: 80:[20, 60], Operations: ['31-29=2', '30*2=60'] Exploring Operation: 20+60=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 82, 88, 69, 32 ]
31
[ "88-82=6", "69-32=37", "37-6=31" ]
Current State: 31:[82, 88, 69, 32], Operations: [] Exploring Operation: 88-82=6, Resulting Numbers: [69, 32, 6] Generated Node #2: [69, 32, 6] from Operation: 88-82=6 Current State: 31:[69, 32, 6], Operations: ['88-82=6'] Exploring Operation: 69-32=37, Resulting Numbers: [6, 37] Generated Node #3: [6, 37] from Operation: 69-32=37 Current State: 31:[6, 37], Operations: ['88-82=6', '69-32=37'] Exploring Operation: 37-6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 33, 28, 58, 27 ]
25
[ "58-33=25", "28-27=1", "25*1=25" ]
Current State: 25:[33, 28, 58, 27], Operations: [] Exploring Operation: 58-33=25, Resulting Numbers: [28, 27, 25] Generated Node #2: [28, 27, 25] from Operation: 58-33=25 Current State: 25:[28, 27, 25], Operations: ['58-33=25'] Exploring Operation: 28-27=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 28-27=1 Current State: 25:[25, 1], Operations: ['58-33=25', '28-27=1'] Exploring Operation: 25*1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 53, 28, 84, 4 ]
19
[ "53+4=57", "84/28=3", "57/3=19" ]
Current State: 19:[53, 28, 84, 4], Operations: [] Exploring Operation: 53+4=57, Resulting Numbers: [28, 84, 57] Generated Node #2: [28, 84, 57] from Operation: 53+4=57 Current State: 19:[28, 84, 57], Operations: ['53+4=57'] Exploring Operation: 84/28=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 84/28=3 Current State: 19:[57, 3], Operations: ['53+4=57', '84/28=3'] Exploring Operation: 57/3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 78, 41, 26, 17 ]
61
[ "78/26=3", "41+17=58", "3+58=61" ]
Current State: 61:[78, 41, 26, 17], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [41, 17, 3] Generated Node #2: [41, 17, 3] from Operation: 78/26=3 Current State: 61:[41, 17, 3], Operations: ['78/26=3'] Exploring Operation: 41+17=58, Resulting Numbers: [3, 58] Generated Node #3: [3, 58] from Operation: 41+17=58 Current State: 61:[3, 58], Operations: ['78/26=3', '41+17=58'] Exploring Operation: 3+58=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 20, 10, 19, 39 ]
48
[ "20-10=10", "19+39=58", "58-10=48" ]
Current State: 48:[20, 10, 19, 39], Operations: [] Exploring Operation: 20-10=10, Resulting Numbers: [19, 39, 10] Generated Node #2: [19, 39, 10] from Operation: 20-10=10 Current State: 48:[19, 39, 10], Operations: ['20-10=10'] Exploring Operation: 19+39=58, Resulting Numbers: [10, 58] Generated Node #3: [10, 58] from Operation: 19+39=58 Current State: 48:[10, 58], Operations: ['20-10=10', '19+39=58'] Exploring Operation: 58-10=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 89, 89, 30, 43 ]
13
[ "89-89=0", "43-30=13", "0+13=13" ]
Current State: 13:[89, 89, 30, 43], Operations: [] Exploring Operation: 89-89=0, Resulting Numbers: [30, 43, 0] Generated Node #2: [30, 43, 0] from Operation: 89-89=0 Current State: 13:[30, 43, 0], Operations: ['89-89=0'] Exploring Operation: 43-30=13, Resulting Numbers: [0, 13] Generated Node #3: [0, 13] from Operation: 43-30=13 Current State: 13:[0, 13], Operations: ['89-89=0', '43-30=13'] Exploring Operation: 0+13=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 11, 71, 74, 3 ]
66
[ "74-71=3", "3+3=6", "11*6=66" ]
Current State: 66:[11, 71, 74, 3], Operations: [] Exploring Operation: 74-71=3, Resulting Numbers: [11, 3, 3] Generated Node #2: [11, 3, 3] from Operation: 74-71=3 Current State: 66:[11, 3, 3], Operations: ['74-71=3'] Exploring Operation: 3+3=6, Resulting Numbers: [11, 6] Generated Node #3: [11, 6] from Operation: 3+3=6 Current State: 66:[11, 6], Operations: ['74-71=3', '3+3=6'] Exploring Operation: 11*6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 27, 52, 63, 21 ]
82
[ "27+52=79", "63/21=3", "79+3=82" ]
Current State: 82:[27, 52, 63, 21], Operations: [] Exploring Operation: 27+52=79, Resulting Numbers: [63, 21, 79] Generated Node #2: [63, 21, 79] from Operation: 27+52=79 Current State: 82:[63, 21, 79], Operations: ['27+52=79'] Exploring Operation: 63/21=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 63/21=3 Current State: 82:[79, 3], Operations: ['27+52=79', '63/21=3'] Exploring Operation: 79+3=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 74, 79, 68, 28 ]
57
[ "74+79=153", "68+28=96", "153-96=57" ]
Current State: 57:[74, 79, 68, 28], Operations: [] Exploring Operation: 74+79=153, Resulting Numbers: [68, 28, 153] Generated Node #2: [68, 28, 153] from Operation: 74+79=153 Current State: 57:[68, 28, 153], Operations: ['74+79=153'] Exploring Operation: 68+28=96, Resulting Numbers: [153, 96] Generated Node #3: [153, 96] from Operation: 68+28=96 Current State: 57:[153, 96], Operations: ['74+79=153', '68+28=96'] Exploring Operation: 153-96=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 28, 72, 38, 30 ]
91
[ "30-28=2", "38/2=19", "72+19=91" ]
Current State: 91:[28, 72, 38, 30], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [72, 38, 2] Generated Node #2: [72, 38, 2] from Operation: 30-28=2 Current State: 91:[72, 38, 2], Operations: ['30-28=2'] Exploring Operation: 38/2=19, Resulting Numbers: [72, 19] Generated Node #3: [72, 19] from Operation: 38/2=19 Current State: 91:[72, 19], Operations: ['30-28=2', '38/2=19'] Exploring Operation: 72+19=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 6, 78, 18, 49 ]
75
[ "6*78=468", "468/18=26", "49+26=75" ]
Current State: 75:[6, 78, 18, 49], Operations: [] Exploring Operation: 6*78=468, Resulting Numbers: [18, 49, 468] Generated Node #2: [18, 49, 468] from Operation: 6*78=468 Current State: 75:[18, 49, 468], Operations: ['6*78=468'] Exploring Operation: 468/18=26, Resulting Numbers: [49, 26] Generated Node #3: [49, 26] from Operation: 468/18=26 Current State: 75:[49, 26], Operations: ['6*78=468', '468/18=26'] Exploring Operation: 49+26=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 39, 36, 33, 68 ]
31
[ "39-36=3", "33*3=99", "99-68=31" ]
Current State: 31:[39, 36, 33, 68], Operations: [] Exploring Operation: 39-36=3, Resulting Numbers: [33, 68, 3] Generated Node #2: [33, 68, 3] from Operation: 39-36=3 Current State: 31:[33, 68, 3], Operations: ['39-36=3'] Exploring Operation: 33*3=99, Resulting Numbers: [68, 99] Generated Node #3: [68, 99] from Operation: 33*3=99 Current State: 31:[68, 99], Operations: ['39-36=3', '33*3=99'] Exploring Operation: 99-68=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 24, 43, 13, 68 ]
13
[ "24+43=67", "68-67=1", "13*1=13" ]
Current State: 13:[24, 43, 13, 68], Operations: [] Exploring Operation: 24+43=67, Resulting Numbers: [13, 68, 67] Generated Node #2: [13, 68, 67] from Operation: 24+43=67 Current State: 13:[13, 68, 67], Operations: ['24+43=67'] Exploring Operation: 68-67=1, Resulting Numbers: [13, 1] Generated Node #3: [13, 1] from Operation: 68-67=1 Current State: 13:[13, 1], Operations: ['24+43=67', '68-67=1'] Exploring Operation: 13*1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 10, 55, 30, 28 ]
13
[ "55-10=45", "30+28=58", "58-45=13" ]
Current State: 13:[10, 55, 30, 28], Operations: [] Exploring Operation: 55-10=45, Resulting Numbers: [30, 28, 45] Generated Node #2: [30, 28, 45] from Operation: 55-10=45 Current State: 13:[30, 28, 45], Operations: ['55-10=45'] Exploring Operation: 30+28=58, Resulting Numbers: [45, 58] Generated Node #3: [45, 58] from Operation: 30+28=58 Current State: 13:[45, 58], Operations: ['55-10=45', '30+28=58'] Exploring Operation: 58-45=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 74, 82, 73, 78 ]
75
[ "74+82=156", "156/78=2", "73+2=75" ]
Current State: 75:[74, 82, 73, 78], Operations: [] Exploring Operation: 74+82=156, Resulting Numbers: [73, 78, 156] Generated Node #2: [73, 78, 156] from Operation: 74+82=156 Current State: 75:[73, 78, 156], Operations: ['74+82=156'] Exploring Operation: 156/78=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 156/78=2 Current State: 75:[73, 2], Operations: ['74+82=156', '156/78=2'] Exploring Operation: 73+2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 14, 10, 16, 25 ]
76
[ "25-16=9", "10*9=90", "90-14=76" ]
Current State: 76:[14, 10, 16, 25], Operations: [] Exploring Operation: 25-16=9, Resulting Numbers: [14, 10, 9] Generated Node #2: [14, 10, 9] from Operation: 25-16=9 Current State: 76:[14, 10, 9], Operations: ['25-16=9'] Exploring Operation: 10*9=90, Resulting Numbers: [14, 90] Generated Node #3: [14, 90] from Operation: 10*9=90 Current State: 76:[14, 90], Operations: ['25-16=9', '10*9=90'] Exploring Operation: 90-14=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 69, 13, 21, 54 ]
17
[ "69*13=897", "21+897=918", "918/54=17" ]
Current State: 17:[69, 13, 21, 54], Operations: [] Exploring Operation: 69*13=897, Resulting Numbers: [21, 54, 897] Generated Node #2: [21, 54, 897] from Operation: 69*13=897 Current State: 17:[21, 54, 897], Operations: ['69*13=897'] Exploring Operation: 21+897=918, Resulting Numbers: [54, 918] Generated Node #3: [54, 918] from Operation: 21+897=918 Current State: 17:[54, 918], Operations: ['69*13=897', '21+897=918'] Exploring Operation: 918/54=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 67, 51, 9, 29 ]
53
[ "67-9=58", "58/29=2", "51+2=53" ]
Current State: 53:[67, 51, 9, 29], Operations: [] Exploring Operation: 67-9=58, Resulting Numbers: [51, 29, 58] Generated Node #2: [51, 29, 58] from Operation: 67-9=58 Current State: 53:[51, 29, 58], Operations: ['67-9=58'] Exploring Operation: 58/29=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 58/29=2 Current State: 53:[51, 2], Operations: ['67-9=58', '58/29=2'] Exploring Operation: 51+2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 36, 73, 37, 86 ]
86
[ "73-36=37", "37+86=123", "123-37=86" ]
Current State: 86:[36, 73, 37, 86], Operations: [] Exploring Operation: 73-36=37, Resulting Numbers: [37, 86, 37] Generated Node #2: [37, 86, 37] from Operation: 73-36=37 Current State: 86:[37, 86, 37], Operations: ['73-36=37'] Exploring Operation: 37+86=123, Resulting Numbers: [123] 123,86 equal: Goal Reached Exploring Operation: 123-37=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 21, 93, 78, 66 ]
30
[ "21+93=114", "78+66=144", "144-114=30" ]
Current State: 30:[21, 93, 78, 66], Operations: [] Exploring Operation: 21+93=114, Resulting Numbers: [78, 66, 114] Generated Node #2: [78, 66, 114] from Operation: 21+93=114 Current State: 30:[78, 66, 114], Operations: ['21+93=114'] Exploring Operation: 78+66=144, Resulting Numbers: [114, 144] Generated Node #3: [114, 144] from Operation: 78+66=144 Current State: 30:[114, 144], Operations: ['21+93=114', '78+66=144'] Exploring Operation: 144-114=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 62, 22, 12, 25 ]
18
[ "62+22=84", "84/12=7", "25-7=18" ]
Current State: 18:[62, 22, 12, 25], Operations: [] Exploring Operation: 62+22=84, Resulting Numbers: [12, 25, 84] Generated Node #2: [12, 25, 84] from Operation: 62+22=84 Current State: 18:[12, 25, 84], Operations: ['62+22=84'] Exploring Operation: 84/12=7, Resulting Numbers: [25, 7] Generated Node #3: [25, 7] from Operation: 84/12=7 Current State: 18:[25, 7], Operations: ['62+22=84', '84/12=7'] Exploring Operation: 25-7=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 46, 11, 7, 3 ]
53
[ "46+11=57", "7-3=4", "57-4=53" ]
Current State: 53:[46, 11, 7, 3], Operations: [] Exploring Operation: 46+11=57, Resulting Numbers: [7, 3, 57] Generated Node #2: [7, 3, 57] from Operation: 46+11=57 Current State: 53:[7, 3, 57], Operations: ['46+11=57'] Exploring Operation: 7-3=4, Resulting Numbers: [57, 4] Generated Node #3: [57, 4] from Operation: 7-3=4 Current State: 53:[57, 4], Operations: ['46+11=57', '7-3=4'] Exploring Operation: 57-4=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 11, 14, 95, 57 ]
35
[ "14-11=3", "95-57=38", "38-3=35" ]
Current State: 35:[11, 14, 95, 57], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [95, 57, 3] Generated Node #2: [95, 57, 3] from Operation: 14-11=3 Current State: 35:[95, 57, 3], Operations: ['14-11=3'] Exploring Operation: 95-57=38, Resulting Numbers: [3, 38] Generated Node #3: [3, 38] from Operation: 95-57=38 Current State: 35:[3, 38], Operations: ['14-11=3', '95-57=38'] Exploring Operation: 38-3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 52, 14, 46, 3 ]
48
[ "52-46=6", "14*3=42", "6+42=48" ]
Current State: 48:[52, 14, 46, 3], Operations: [] Exploring Operation: 52-46=6, Resulting Numbers: [14, 3, 6] Generated Node #2: [14, 3, 6] from Operation: 52-46=6 Current State: 48:[14, 3, 6], Operations: ['52-46=6'] Exploring Operation: 14*3=42, Resulting Numbers: [6, 42] Generated Node #3: [6, 42] from Operation: 14*3=42 Current State: 48:[6, 42], Operations: ['52-46=6', '14*3=42'] Exploring Operation: 6+42=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 74, 23, 39, 70 ]
46
[ "74-39=35", "23*70=1610", "1610/35=46" ]
Current State: 46:[74, 23, 39, 70], Operations: [] Exploring Operation: 74-39=35, Resulting Numbers: [23, 70, 35] Generated Node #2: [23, 70, 35] from Operation: 74-39=35 Current State: 46:[23, 70, 35], Operations: ['74-39=35'] Exploring Operation: 23*70=1610, Resulting Numbers: [35, 1610] Generated Node #3: [35, 1610] from Operation: 23*70=1610 Current State: 46:[35, 1610], Operations: ['74-39=35', '23*70=1610'] Exploring Operation: 1610/35=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 73, 76, 19, 94 ]
73
[ "76+19=95", "95-94=1", "73*1=73" ]
Current State: 73:[73, 76, 19, 94], Operations: [] Exploring Operation: 76+19=95, Resulting Numbers: [73, 94, 95] Generated Node #2: [73, 94, 95] from Operation: 76+19=95 Current State: 73:[73, 94, 95], Operations: ['76+19=95'] Exploring Operation: 95-94=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 95-94=1 Current State: 73:[73, 1], Operations: ['76+19=95', '95-94=1'] Exploring Operation: 73*1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 16, 65, 5, 8 ]
23
[ "16*5=80", "65-8=57", "80-57=23" ]
Current State: 23:[16, 65, 5, 8], Operations: [] Exploring Operation: 16*5=80, Resulting Numbers: [65, 8, 80] Generated Node #2: [65, 8, 80] from Operation: 16*5=80 Current State: 23:[65, 8, 80], Operations: ['16*5=80'] Exploring Operation: 65-8=57, Resulting Numbers: [80, 57] Generated Node #3: [80, 57] from Operation: 65-8=57 Current State: 23:[80, 57], Operations: ['16*5=80', '65-8=57'] Exploring Operation: 80-57=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 13, 60, 8, 67 ]
83
[ "67-60=7", "13*7=91", "91-8=83" ]
Current State: 83:[13, 60, 8, 67], Operations: [] Exploring Operation: 67-60=7, Resulting Numbers: [13, 8, 7] Generated Node #2: [13, 8, 7] from Operation: 67-60=7 Current State: 83:[13, 8, 7], Operations: ['67-60=7'] Exploring Operation: 13*7=91, Resulting Numbers: [8, 91] Generated Node #3: [8, 91] from Operation: 13*7=91 Current State: 83:[8, 91], Operations: ['67-60=7', '13*7=91'] Exploring Operation: 91-8=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 2, 44, 17, 32 ]
95
[ "2+44=46", "17+32=49", "46+49=95" ]
Current State: 95:[2, 44, 17, 32], Operations: [] Exploring Operation: 2+44=46, Resulting Numbers: [17, 32, 46] Generated Node #2: [17, 32, 46] from Operation: 2+44=46 Current State: 95:[17, 32, 46], Operations: ['2+44=46'] Exploring Operation: 17+32=49, Resulting Numbers: [46, 49] Generated Node #3: [46, 49] from Operation: 17+32=49 Current State: 95:[46, 49], Operations: ['2+44=46', '17+32=49'] Exploring Operation: 46+49=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 39, 97, 58, 82 ]
34
[ "97-39=58", "82-58=24", "58-24=34" ]
Current State: 34:[39, 97, 58, 82], Operations: [] Exploring Operation: 97-39=58, Resulting Numbers: [58, 82, 58] Generated Node #2: [58, 82, 58] from Operation: 97-39=58 Current State: 34:[58, 82, 58], Operations: ['97-39=58'] Exploring Operation: 82-58=24, Resulting Numbers: [24] 24,34 equal: Goal Reached Exploring Operation: 58-24=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 38, 51, 84, 63 ]
87
[ "51+63=114", "114/38=3", "84+3=87" ]
Current State: 87:[38, 51, 84, 63], Operations: [] Exploring Operation: 51+63=114, Resulting Numbers: [38, 84, 114] Generated Node #2: [38, 84, 114] from Operation: 51+63=114 Current State: 87:[38, 84, 114], Operations: ['51+63=114'] Exploring Operation: 114/38=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 114/38=3 Current State: 87:[84, 3], Operations: ['51+63=114', '114/38=3'] Exploring Operation: 84+3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 90, 19, 69, 27 ]
67
[ "90+19=109", "69-27=42", "109-42=67" ]
Current State: 67:[90, 19, 69, 27], Operations: [] Exploring Operation: 90+19=109, Resulting Numbers: [69, 27, 109] Generated Node #2: [69, 27, 109] from Operation: 90+19=109 Current State: 67:[69, 27, 109], Operations: ['90+19=109'] Exploring Operation: 69-27=42, Resulting Numbers: [109, 42] Generated Node #3: [109, 42] from Operation: 69-27=42 Current State: 67:[109, 42], Operations: ['90+19=109', '69-27=42'] Exploring Operation: 109-42=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 16, 88, 14, 69 ]
80
[ "88-14=74", "74-69=5", "16*5=80" ]
Current State: 80:[16, 88, 14, 69], Operations: [] Exploring Operation: 88-14=74, Resulting Numbers: [16, 69, 74] Generated Node #2: [16, 69, 74] from Operation: 88-14=74 Current State: 80:[16, 69, 74], Operations: ['88-14=74'] Exploring Operation: 74-69=5, Resulting Numbers: [16, 5] Generated Node #3: [16, 5] from Operation: 74-69=5 Current State: 80:[16, 5], Operations: ['88-14=74', '74-69=5'] Exploring Operation: 16*5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 45, 43, 80, 28 ]
94
[ "45-43=2", "28/2=14", "80+14=94" ]
Current State: 94:[45, 43, 80, 28], Operations: [] Exploring Operation: 45-43=2, Resulting Numbers: [80, 28, 2] Generated Node #2: [80, 28, 2] from Operation: 45-43=2 Current State: 94:[80, 28, 2], Operations: ['45-43=2'] Exploring Operation: 28/2=14, Resulting Numbers: [80, 14] Generated Node #3: [80, 14] from Operation: 28/2=14 Current State: 94:[80, 14], Operations: ['45-43=2', '28/2=14'] Exploring Operation: 80+14=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 18, 86, 75, 43 ]
95
[ "18+75=93", "86/43=2", "93+2=95" ]
Current State: 95:[18, 86, 75, 43], Operations: [] Exploring Operation: 18+75=93, Resulting Numbers: [86, 43, 93] Generated Node #2: [86, 43, 93] from Operation: 18+75=93 Current State: 95:[86, 43, 93], Operations: ['18+75=93'] Exploring Operation: 86/43=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 86/43=2 Current State: 95:[93, 2], Operations: ['18+75=93', '86/43=2'] Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 3, 7, 13, 39 ]
97
[ "3*39=117", "7+13=20", "117-20=97" ]
Current State: 97:[3, 7, 13, 39], Operations: [] Exploring Operation: 3*39=117, Resulting Numbers: [7, 13, 117] Generated Node #2: [7, 13, 117] from Operation: 3*39=117 Current State: 97:[7, 13, 117], Operations: ['3*39=117'] Exploring Operation: 7+13=20, Resulting Numbers: [117, 20] Generated Node #3: [117, 20] from Operation: 7+13=20 Current State: 97:[117, 20], Operations: ['3*39=117', '7+13=20'] Exploring Operation: 117-20=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 61, 6, 29, 59 ]
85
[ "61-6=55", "59-29=30", "55+30=85" ]
Current State: 85:[61, 6, 29, 59], Operations: [] Exploring Operation: 61-6=55, Resulting Numbers: [29, 59, 55] Generated Node #2: [29, 59, 55] from Operation: 61-6=55 Current State: 85:[29, 59, 55], Operations: ['61-6=55'] Exploring Operation: 59-29=30, Resulting Numbers: [55, 30] Generated Node #3: [55, 30] from Operation: 59-29=30 Current State: 85:[55, 30], Operations: ['61-6=55', '59-29=30'] Exploring Operation: 55+30=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 26, 85, 6, 18 ]
47
[ "85-26=59", "18-6=12", "59-12=47" ]
Current State: 47:[26, 85, 6, 18], Operations: [] Exploring Operation: 85-26=59, Resulting Numbers: [6, 18, 59] Generated Node #2: [6, 18, 59] from Operation: 85-26=59 Current State: 47:[6, 18, 59], Operations: ['85-26=59'] Exploring Operation: 18-6=12, Resulting Numbers: [59, 12] Generated Node #3: [59, 12] from Operation: 18-6=12 Current State: 47:[59, 12], Operations: ['85-26=59', '18-6=12'] Exploring Operation: 59-12=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 44, 89, 46, 10 ]
94
[ "46-44=2", "10/2=5", "89+5=94" ]
Current State: 94:[44, 89, 46, 10], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [89, 10, 2] Generated Node #2: [89, 10, 2] from Operation: 46-44=2 Current State: 94:[89, 10, 2], Operations: ['46-44=2'] Exploring Operation: 10/2=5, Resulting Numbers: [89, 5] Generated Node #3: [89, 5] from Operation: 10/2=5 Current State: 94:[89, 5], Operations: ['46-44=2', '10/2=5'] Exploring Operation: 89+5=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 47, 69, 19, 50 ]
46
[ "69-19=50", "50/50=1", "47-1=46" ]
Current State: 46:[47, 69, 19, 50], Operations: [] Exploring Operation: 69-19=50, Resulting Numbers: [47, 50, 50] Generated Node #2: [47, 50, 50] from Operation: 69-19=50 Current State: 46:[47, 50, 50], Operations: ['69-19=50'] Exploring Operation: 50/50=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 50/50=1 Current State: 46:[47, 1], Operations: ['69-19=50', '50/50=1'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 31, 56, 49, 65 ]
27
[ "31+56=87", "49+65=114", "114-87=27" ]
Current State: 27:[31, 56, 49, 65], Operations: [] Exploring Operation: 31+56=87, Resulting Numbers: [49, 65, 87] Generated Node #2: [49, 65, 87] from Operation: 31+56=87 Current State: 27:[49, 65, 87], Operations: ['31+56=87'] Exploring Operation: 49+65=114, Resulting Numbers: [87, 114] Generated Node #3: [87, 114] from Operation: 49+65=114 Current State: 27:[87, 114], Operations: ['31+56=87', '49+65=114'] Exploring Operation: 114-87=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 87, 69, 58, 78 ]
17
[ "58*78=4524", "4524/87=52", "69-52=17" ]
Current State: 17:[87, 69, 58, 78], Operations: [] Exploring Operation: 58*78=4524, Resulting Numbers: [87, 69, 4524] Generated Node #2: [87, 69, 4524] from Operation: 58*78=4524 Current State: 17:[87, 69, 4524], Operations: ['58*78=4524'] Exploring Operation: 4524/87=52, Resulting Numbers: [69, 52] Generated Node #3: [69, 52] from Operation: 4524/87=52 Current State: 17:[69, 52], Operations: ['58*78=4524', '4524/87=52'] Exploring Operation: 69-52=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 71, 13, 91, 65 ]
69
[ "91-65=26", "26/13=2", "71-2=69" ]
Current State: 69:[71, 13, 91, 65], Operations: [] Exploring Operation: 91-65=26, Resulting Numbers: [71, 13, 26] Generated Node #2: [71, 13, 26] from Operation: 91-65=26 Current State: 69:[71, 13, 26], Operations: ['91-65=26'] Exploring Operation: 26/13=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 26/13=2 Current State: 69:[71, 2], Operations: ['91-65=26', '26/13=2'] Exploring Operation: 71-2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 86, 61, 49, 74 ]
50
[ "86-61=25", "74-49=25", "25+25=50" ]
Current State: 50:[86, 61, 49, 74], Operations: [] Exploring Operation: 86-61=25, Resulting Numbers: [49, 74, 25] Generated Node #2: [49, 74, 25] from Operation: 86-61=25 Current State: 50:[49, 74, 25], Operations: ['86-61=25'] Exploring Operation: 74-49=25, Resulting Numbers: [25, 25] Generated Node #3: [25, 25] from Operation: 74-49=25 Current State: 50:[25, 25], Operations: ['86-61=25', '74-49=25'] Exploring Operation: 25+25=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 42, 16, 16, 4 ]
37
[ "42-4=38", "16/16=1", "38-1=37" ]
Current State: 37:[42, 16, 16, 4], Operations: [] Exploring Operation: 42-4=38, Resulting Numbers: [16, 16, 38] Generated Node #2: [16, 16, 38] from Operation: 42-4=38 Current State: 37:[16, 16, 38], Operations: ['42-4=38'] Exploring Operation: 16/16=1, Resulting Numbers: [38, 1] Generated Node #3: [38, 1] from Operation: 16/16=1 Current State: 37:[38, 1], Operations: ['42-4=38', '16/16=1'] Exploring Operation: 38-1=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 37, 39, 44, 81 ]
39
[ "37+39=76", "81-44=37", "76-37=39" ]
Current State: 39:[37, 39, 44, 81], Operations: [] Exploring Operation: 37+39=76, Resulting Numbers: [44, 81, 76] Generated Node #2: [44, 81, 76] from Operation: 37+39=76 Current State: 39:[44, 81, 76], Operations: ['37+39=76'] Exploring Operation: 81-44=37, Resulting Numbers: [76, 37] Generated Node #3: [76, 37] from Operation: 81-44=37 Current State: 39:[76, 37], Operations: ['37+39=76', '81-44=37'] Exploring Operation: 76-37=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 36, 57, 82, 6 ]
48
[ "82-6=76", "36*76=2736", "2736/57=48" ]
Current State: 48:[36, 57, 82, 6], Operations: [] Exploring Operation: 82-6=76, Resulting Numbers: [36, 57, 76] Generated Node #2: [36, 57, 76] from Operation: 82-6=76 Current State: 48:[36, 57, 76], Operations: ['82-6=76'] Exploring Operation: 36*76=2736, Resulting Numbers: [57, 2736] Generated Node #3: [57, 2736] from Operation: 36*76=2736 Current State: 48:[57, 2736], Operations: ['82-6=76', '36*76=2736'] Exploring Operation: 2736/57=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 14, 50, 99, 47 ]
47
[ "47-14=33", "99/33=3", "50-3=47" ]
Current State: 47:[14, 50, 99, 47], Operations: [] Exploring Operation: 47-14=33, Resulting Numbers: [50, 99, 33] Generated Node #2: [50, 99, 33] from Operation: 47-14=33 Current State: 47:[50, 99, 33], Operations: ['47-14=33'] Exploring Operation: 99/33=3, Resulting Numbers: [50, 3] Generated Node #3: [50, 3] from Operation: 99/33=3 Current State: 47:[50, 3], Operations: ['47-14=33', '99/33=3'] Exploring Operation: 50-3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 42, 60, 35, 33 ]
83
[ "60*35=2100", "2100/42=50", "33+50=83" ]
Current State: 83:[42, 60, 35, 33], Operations: [] Exploring Operation: 60*35=2100, Resulting Numbers: [42, 33, 2100] Generated Node #2: [42, 33, 2100] from Operation: 60*35=2100 Current State: 83:[42, 33, 2100], Operations: ['60*35=2100'] Exploring Operation: 2100/42=50, Resulting Numbers: [33, 50] Generated Node #3: [33, 50] from Operation: 2100/42=50 Current State: 83:[33, 50], Operations: ['60*35=2100', '2100/42=50'] Exploring Operation: 33+50=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 1, 26, 45, 21 ]
50
[ "1*26=26", "45-21=24", "26+24=50" ]
Current State: 50:[1, 26, 45, 21], Operations: [] Exploring Operation: 1*26=26, Resulting Numbers: [45, 21, 26] Generated Node #2: [45, 21, 26] from Operation: 1*26=26 Current State: 50:[45, 21, 26], Operations: ['1*26=26'] Exploring Operation: 45-21=24, Resulting Numbers: [26, 24] Generated Node #3: [26, 24] from Operation: 45-21=24 Current State: 50:[26, 24], Operations: ['1*26=26', '45-21=24'] Exploring Operation: 26+24=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 43, 15, 95, 28 ]
96
[ "43-15=28", "28/28=1", "95+1=96" ]
Current State: 96:[43, 15, 95, 28], Operations: [] Exploring Operation: 43-15=28, Resulting Numbers: [95, 28, 28] Generated Node #2: [95, 28, 28] from Operation: 43-15=28 Current State: 96:[95, 28, 28], Operations: ['43-15=28'] Exploring Operation: 28/28=1, Resulting Numbers: [95, 1] Generated Node #3: [95, 1] from Operation: 28/28=1 Current State: 96:[95, 1], Operations: ['43-15=28', '28/28=1'] Exploring Operation: 95+1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 77, 82, 69, 58 ]
32
[ "77+82=159", "69+58=127", "159-127=32" ]
Current State: 32:[77, 82, 69, 58], Operations: [] Exploring Operation: 77+82=159, Resulting Numbers: [69, 58, 159] Generated Node #2: [69, 58, 159] from Operation: 77+82=159 Current State: 32:[69, 58, 159], Operations: ['77+82=159'] Exploring Operation: 69+58=127, Resulting Numbers: [159, 127] Generated Node #3: [159, 127] from Operation: 69+58=127 Current State: 32:[159, 127], Operations: ['77+82=159', '69+58=127'] Exploring Operation: 159-127=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 82, 68, 54, 16 ]
80
[ "82+68=150", "54+16=70", "150-70=80" ]
Current State: 80:[82, 68, 54, 16], Operations: [] Exploring Operation: 82+68=150, Resulting Numbers: [54, 16, 150] Generated Node #2: [54, 16, 150] from Operation: 82+68=150 Current State: 80:[54, 16, 150], Operations: ['82+68=150'] Exploring Operation: 54+16=70, Resulting Numbers: [150, 70] Generated Node #3: [150, 70] from Operation: 54+16=70 Current State: 80:[150, 70], Operations: ['82+68=150', '54+16=70'] Exploring Operation: 150-70=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 87, 15, 44, 13 ]
39
[ "87*13=1131", "44-15=29", "1131/29=39" ]
Current State: 39:[87, 15, 44, 13], Operations: [] Exploring Operation: 87*13=1131, Resulting Numbers: [15, 44, 1131] Generated Node #2: [15, 44, 1131] from Operation: 87*13=1131 Current State: 39:[15, 44, 1131], Operations: ['87*13=1131'] Exploring Operation: 44-15=29, Resulting Numbers: [1131, 29] Generated Node #3: [1131, 29] from Operation: 44-15=29 Current State: 39:[1131, 29], Operations: ['87*13=1131', '44-15=29'] Exploring Operation: 1131/29=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 2, 21, 84, 23 ]
15
[ "2*84=168", "168/21=8", "23-8=15" ]
Current State: 15:[2, 21, 84, 23], Operations: [] Exploring Operation: 2*84=168, Resulting Numbers: [21, 23, 168] Generated Node #2: [21, 23, 168] from Operation: 2*84=168 Current State: 15:[21, 23, 168], Operations: ['2*84=168'] Exploring Operation: 168/21=8, Resulting Numbers: [23, 8] Generated Node #3: [23, 8] from Operation: 168/21=8 Current State: 15:[23, 8], Operations: ['2*84=168', '168/21=8'] Exploring Operation: 23-8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 69, 82, 66, 6 ]
73
[ "82-69=13", "66-6=60", "13+60=73" ]
Current State: 73:[69, 82, 66, 6], Operations: [] Exploring Operation: 82-69=13, Resulting Numbers: [66, 6, 13] Generated Node #2: [66, 6, 13] from Operation: 82-69=13 Current State: 73:[66, 6, 13], Operations: ['82-69=13'] Exploring Operation: 66-6=60, Resulting Numbers: [13, 60] Generated Node #3: [13, 60] from Operation: 66-6=60 Current State: 73:[13, 60], Operations: ['82-69=13', '66-6=60'] Exploring Operation: 13+60=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 12, 20, 48, 43 ]
59
[ "12+20=32", "48+43=91", "91-32=59" ]
Current State: 59:[12, 20, 48, 43], Operations: [] Exploring Operation: 12+20=32, Resulting Numbers: [48, 43, 32] Generated Node #2: [48, 43, 32] from Operation: 12+20=32 Current State: 59:[48, 43, 32], Operations: ['12+20=32'] Exploring Operation: 48+43=91, Resulting Numbers: [32, 91] Generated Node #3: [32, 91] from Operation: 48+43=91 Current State: 59:[32, 91], Operations: ['12+20=32', '48+43=91'] Exploring Operation: 91-32=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 90, 11, 67, 90 ]
11
[ "90-90=0", "67*0=0", "11+0=11" ]
Current State: 11:[90, 11, 67, 90], Operations: [] Exploring Operation: 90-90=0, Resulting Numbers: [11, 67, 0] Generated Node #2: [11, 67, 0] from Operation: 90-90=0 Current State: 11:[11, 67, 0], Operations: ['90-90=0'] Exploring Operation: 67*0=0, Resulting Numbers: [11, 0] Generated Node #3: [11, 0] from Operation: 67*0=0 Current State: 11:[11, 0], Operations: ['90-90=0', '67*0=0'] Exploring Operation: 11+0=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 2, 43, 24, 83 ]
75
[ "43+24=67", "83+67=150", "150/2=75" ]
Current State: 75:[2, 43, 24, 83], Operations: [] Exploring Operation: 43+24=67, Resulting Numbers: [2, 83, 67] Generated Node #2: [2, 83, 67] from Operation: 43+24=67 Current State: 75:[2, 83, 67], Operations: ['43+24=67'] Exploring Operation: 83+67=150, Resulting Numbers: [2, 150] Generated Node #3: [2, 150] from Operation: 83+67=150 Current State: 75:[2, 150], Operations: ['43+24=67', '83+67=150'] Exploring Operation: 150/2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 57, 14, 59, 75 ]
91
[ "57-14=43", "59+75=134", "134-43=91" ]
Current State: 91:[57, 14, 59, 75], Operations: [] Exploring Operation: 57-14=43, Resulting Numbers: [59, 75, 43] Generated Node #2: [59, 75, 43] from Operation: 57-14=43 Current State: 91:[59, 75, 43], Operations: ['57-14=43'] Exploring Operation: 59+75=134, Resulting Numbers: [43, 134] Generated Node #3: [43, 134] from Operation: 59+75=134 Current State: 91:[43, 134], Operations: ['57-14=43', '59+75=134'] Exploring Operation: 134-43=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 36, 16, 97, 50 ]
27
[ "36-16=20", "97-50=47", "47-20=27" ]
Current State: 27:[36, 16, 97, 50], Operations: [] Exploring Operation: 36-16=20, Resulting Numbers: [97, 50, 20] Generated Node #2: [97, 50, 20] from Operation: 36-16=20 Current State: 27:[97, 50, 20], Operations: ['36-16=20'] Exploring Operation: 97-50=47, Resulting Numbers: [20, 47] Generated Node #3: [20, 47] from Operation: 97-50=47 Current State: 27:[20, 47], Operations: ['36-16=20', '97-50=47'] Exploring Operation: 47-20=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 8, 45, 16, 17 ]
53
[ "8+45=53", "17-16=1", "53*1=53" ]
Current State: 53:[8, 45, 16, 17], Operations: [] Exploring Operation: 8+45=53, Resulting Numbers: [16, 17, 53] Generated Node #2: [16, 17, 53] from Operation: 8+45=53 Current State: 53:[16, 17, 53], Operations: ['8+45=53'] Exploring Operation: 17-16=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 17-16=1 Current State: 53:[53, 1], Operations: ['8+45=53', '17-16=1'] Exploring Operation: 53*1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 62, 64, 4, 7 ]
14
[ "62+64=126", "126/7=18", "18-4=14" ]
Current State: 14:[62, 64, 4, 7], Operations: [] Exploring Operation: 62+64=126, Resulting Numbers: [4, 7, 126] Generated Node #2: [4, 7, 126] from Operation: 62+64=126 Current State: 14:[4, 7, 126], Operations: ['62+64=126'] Exploring Operation: 126/7=18, Resulting Numbers: [4, 18] Generated Node #3: [4, 18] from Operation: 126/7=18 Current State: 14:[4, 18], Operations: ['62+64=126', '126/7=18'] Exploring Operation: 18-4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 54, 78, 52, 4 ]
75
[ "54-4=50", "78*50=3900", "3900/52=75" ]
Current State: 75:[54, 78, 52, 4], Operations: [] Exploring Operation: 54-4=50, Resulting Numbers: [78, 52, 50] Generated Node #2: [78, 52, 50] from Operation: 54-4=50 Current State: 75:[78, 52, 50], Operations: ['54-4=50'] Exploring Operation: 78*50=3900, Resulting Numbers: [52, 3900] Generated Node #3: [52, 3900] from Operation: 78*50=3900 Current State: 75:[52, 3900], Operations: ['54-4=50', '78*50=3900'] Exploring Operation: 3900/52=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 63, 43, 86, 5 ]
13
[ "86/43=2", "63+2=65", "65/5=13" ]
Current State: 13:[63, 43, 86, 5], Operations: [] Exploring Operation: 86/43=2, Resulting Numbers: [63, 5, 2] Generated Node #2: [63, 5, 2] from Operation: 86/43=2 Current State: 13:[63, 5, 2], Operations: ['86/43=2'] Exploring Operation: 63+2=65, Resulting Numbers: [5, 65] Generated Node #3: [5, 65] from Operation: 63+2=65 Current State: 13:[5, 65], Operations: ['86/43=2', '63+2=65'] Exploring Operation: 65/5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 17, 15, 3, 44 ]
72
[ "44-17=27", "15*3=45", "27+45=72" ]
Current State: 72:[17, 15, 3, 44], Operations: [] Exploring Operation: 44-17=27, Resulting Numbers: [15, 3, 27] Generated Node #2: [15, 3, 27] from Operation: 44-17=27 Current State: 72:[15, 3, 27], Operations: ['44-17=27'] Exploring Operation: 15*3=45, Resulting Numbers: [27, 45] Generated Node #3: [27, 45] from Operation: 15*3=45 Current State: 72:[27, 45], Operations: ['44-17=27', '15*3=45'] Exploring Operation: 27+45=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 60, 34, 32, 20 ]
62
[ "60*32=1920", "1920/20=96", "96-34=62" ]
Current State: 62:[60, 34, 32, 20], Operations: [] Exploring Operation: 60*32=1920, Resulting Numbers: [34, 20, 1920] Generated Node #2: [34, 20, 1920] from Operation: 60*32=1920 Current State: 62:[34, 20, 1920], Operations: ['60*32=1920'] Exploring Operation: 1920/20=96, Resulting Numbers: [34, 96] Generated Node #3: [34, 96] from Operation: 1920/20=96 Current State: 62:[34, 96], Operations: ['60*32=1920', '1920/20=96'] Exploring Operation: 96-34=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 98, 41, 3, 69 ]
88
[ "98-41=57", "57/3=19", "69+19=88" ]
Current State: 88:[98, 41, 3, 69], Operations: [] Exploring Operation: 98-41=57, Resulting Numbers: [3, 69, 57] Generated Node #2: [3, 69, 57] from Operation: 98-41=57 Current State: 88:[3, 69, 57], Operations: ['98-41=57'] Exploring Operation: 57/3=19, Resulting Numbers: [69, 19] Generated Node #3: [69, 19] from Operation: 57/3=19 Current State: 88:[69, 19], Operations: ['98-41=57', '57/3=19'] Exploring Operation: 69+19=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 14, 47, 54, 41 ]
30
[ "47-41=6", "14*6=84", "84-54=30" ]
Current State: 30:[14, 47, 54, 41], Operations: [] Exploring Operation: 47-41=6, Resulting Numbers: [14, 54, 6] Generated Node #2: [14, 54, 6] from Operation: 47-41=6 Current State: 30:[14, 54, 6], Operations: ['47-41=6'] Exploring Operation: 14*6=84, Resulting Numbers: [54, 84] Generated Node #3: [54, 84] from Operation: 14*6=84 Current State: 30:[54, 84], Operations: ['47-41=6', '14*6=84'] Exploring Operation: 84-54=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 26, 59, 68, 89 ]
72
[ "26+59=85", "68+89=157", "157-85=72" ]
Current State: 72:[26, 59, 68, 89], Operations: [] Exploring Operation: 26+59=85, Resulting Numbers: [68, 89, 85] Generated Node #2: [68, 89, 85] from Operation: 26+59=85 Current State: 72:[68, 89, 85], Operations: ['26+59=85'] Exploring Operation: 68+89=157, Resulting Numbers: [85, 157] Generated Node #3: [85, 157] from Operation: 68+89=157 Current State: 72:[85, 157], Operations: ['26+59=85', '68+89=157'] Exploring Operation: 157-85=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 22, 12, 23, 94 ]
83
[ "22+12=34", "23+94=117", "117-34=83" ]
Current State: 83:[22, 12, 23, 94], Operations: [] Exploring Operation: 22+12=34, Resulting Numbers: [23, 94, 34] Generated Node #2: [23, 94, 34] from Operation: 22+12=34 Current State: 83:[23, 94, 34], Operations: ['22+12=34'] Exploring Operation: 23+94=117, Resulting Numbers: [34, 117] Generated Node #3: [34, 117] from Operation: 23+94=117 Current State: 83:[34, 117], Operations: ['22+12=34', '23+94=117'] Exploring Operation: 117-34=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 19, 51, 28, 84 ]
29
[ "51-19=32", "84/28=3", "32-3=29" ]
Current State: 29:[19, 51, 28, 84], Operations: [] Exploring Operation: 51-19=32, Resulting Numbers: [28, 84, 32] Generated Node #2: [28, 84, 32] from Operation: 51-19=32 Current State: 29:[28, 84, 32], Operations: ['51-19=32'] Exploring Operation: 84/28=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 84/28=3 Current State: 29:[32, 3], Operations: ['51-19=32', '84/28=3'] Exploring Operation: 32-3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 4, 12, 75, 41 ]
16
[ "12/4=3", "75/3=25", "41-25=16" ]
Current State: 16:[4, 12, 75, 41], Operations: [] Exploring Operation: 12/4=3, Resulting Numbers: [75, 41, 3] Generated Node #2: [75, 41, 3] from Operation: 12/4=3 Current State: 16:[75, 41, 3], Operations: ['12/4=3'] Exploring Operation: 75/3=25, Resulting Numbers: [41, 25] Generated Node #3: [41, 25] from Operation: 75/3=25 Current State: 16:[41, 25], Operations: ['12/4=3', '75/3=25'] Exploring Operation: 41-25=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 66, 49, 99, 70 ]
37
[ "70-66=4", "49+99=148", "148/4=37" ]
Current State: 37:[66, 49, 99, 70], Operations: [] Exploring Operation: 70-66=4, Resulting Numbers: [49, 99, 4] Generated Node #2: [49, 99, 4] from Operation: 70-66=4 Current State: 37:[49, 99, 4], Operations: ['70-66=4'] Exploring Operation: 49+99=148, Resulting Numbers: [4, 148] Generated Node #3: [4, 148] from Operation: 49+99=148 Current State: 37:[4, 148], Operations: ['70-66=4', '49+99=148'] Exploring Operation: 148/4=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 27, 7, 78, 18 ]
94
[ "27+7=34", "78-18=60", "34+60=94" ]
Current State: 94:[27, 7, 78, 18], Operations: [] Exploring Operation: 27+7=34, Resulting Numbers: [78, 18, 34] Generated Node #2: [78, 18, 34] from Operation: 27+7=34 Current State: 94:[78, 18, 34], Operations: ['27+7=34'] Exploring Operation: 78-18=60, Resulting Numbers: [34, 60] Generated Node #3: [34, 60] from Operation: 78-18=60 Current State: 94:[34, 60], Operations: ['27+7=34', '78-18=60'] Exploring Operation: 34+60=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 60, 35, 85, 9 ]
18
[ "35+85=120", "120/60=2", "9*2=18" ]
Current State: 18:[60, 35, 85, 9], Operations: [] Exploring Operation: 35+85=120, Resulting Numbers: [60, 9, 120] Generated Node #2: [60, 9, 120] from Operation: 35+85=120 Current State: 18:[60, 9, 120], Operations: ['35+85=120'] Exploring Operation: 120/60=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 120/60=2 Current State: 18:[9, 2], Operations: ['35+85=120', '120/60=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 65, 24, 2, 20 ]
93
[ "65-20=45", "24*2=48", "45+48=93" ]
Current State: 93:[65, 24, 2, 20], Operations: [] Exploring Operation: 65-20=45, Resulting Numbers: [24, 2, 45] Generated Node #2: [24, 2, 45] from Operation: 65-20=45 Current State: 93:[24, 2, 45], Operations: ['65-20=45'] Exploring Operation: 24*2=48, Resulting Numbers: [45, 48] Generated Node #3: [45, 48] from Operation: 24*2=48 Current State: 93:[45, 48], Operations: ['65-20=45', '24*2=48'] Exploring Operation: 45+48=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4