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
[ 83, 12, 91, 91 ]
71
[ "83-12=71", "91-91=0", "71+0=71" ]
Current State: 71:[83, 12, 91, 91], Operations: [] Exploring Operation: 83-12=71, Resulting Numbers: [91, 91, 71] Generated Node #2: [91, 91, 71] from Operation: 83-12=71 Current State: 71:[91, 91, 71], Operations: ['83-12=71'] Exploring Operation: 91-91=0, Resulting Numbers: [71, 0] Generated Node #3: [71, 0] from Operation: 91-91=0 Current State: 71:[71, 0], Operations: ['83-12=71', '91-91=0'] Exploring Operation: 71+0=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 79, 6, 84, 82 ]
11
[ "82-79=3", "84/6=14", "14-3=11" ]
Current State: 11:[79, 6, 84, 82], Operations: [] Exploring Operation: 82-79=3, Resulting Numbers: [6, 84, 3] Generated Node #2: [6, 84, 3] from Operation: 82-79=3 Current State: 11:[6, 84, 3], Operations: ['82-79=3'] Exploring Operation: 84/6=14, Resulting Numbers: [3, 14] Generated Node #3: [3, 14] from Operation: 84/6=14 Current State: 11:[3, 14], Operations: ['82-79=3', '84/6=14'] Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 16, 28, 10, 8 ]
18
[ "28*10=280", "8+280=288", "288/16=18" ]
Current State: 18:[16, 28, 10, 8], Operations: [] Exploring Operation: 28*10=280, Resulting Numbers: [16, 8, 280] Generated Node #2: [16, 8, 280] from Operation: 28*10=280 Current State: 18:[16, 8, 280], Operations: ['28*10=280'] Exploring Operation: 8+280=288, Resulting Numbers: [16, 288] Generated Node #3: [16, 288] from Operation: 8+280=288 Current State: 18:[16, 288], Operations: ['28*10=280', '8+280=288'] Exploring Operation: 288/16=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 55, 5, 19, 84 ]
68
[ "84-19=65", "65/5=13", "55+13=68" ]
Current State: 68:[55, 5, 19, 84], Operations: [] Exploring Operation: 84-19=65, Resulting Numbers: [55, 5, 65] Generated Node #2: [55, 5, 65] from Operation: 84-19=65 Current State: 68:[55, 5, 65], Operations: ['84-19=65'] Exploring Operation: 65/5=13, Resulting Numbers: [55, 13] Generated Node #3: [55, 13] from Operation: 65/5=13 Current State: 68:[55, 13], Operations: ['84-19=65', '65/5=13'] Exploring Operation: 55+13=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 42, 49, 35, 91 ]
18
[ "49-42=7", "35+91=126", "126/7=18" ]
Current State: 18:[42, 49, 35, 91], Operations: [] Exploring Operation: 49-42=7, Resulting Numbers: [35, 91, 7] Generated Node #2: [35, 91, 7] from Operation: 49-42=7 Current State: 18:[35, 91, 7], Operations: ['49-42=7'] Exploring Operation: 35+91=126, Resulting Numbers: [7, 126] Generated Node #3: [7, 126] from Operation: 35+91=126 Current State: 18:[7, 126], Operations: ['49-42=7', '35+91=126'] Exploring Operation: 126/7=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 41, 34, 60, 43 ]
24
[ "41-34=7", "60-43=17", "7+17=24" ]
Current State: 24:[41, 34, 60, 43], Operations: [] Exploring Operation: 41-34=7, Resulting Numbers: [60, 43, 7] Generated Node #2: [60, 43, 7] from Operation: 41-34=7 Current State: 24:[60, 43, 7], Operations: ['41-34=7'] Exploring Operation: 60-43=17, Resulting Numbers: [7, 17] Generated Node #3: [7, 17] from Operation: 60-43=17 Current State: 24:[7, 17], Operations: ['41-34=7', '60-43=17'] Exploring Operation: 7+17=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 3, 9, 32, 47 ]
45
[ "9/3=3", "47-32=15", "3*15=45" ]
Current State: 45:[3, 9, 32, 47], Operations: [] Exploring Operation: 9/3=3, Resulting Numbers: [32, 47, 3] Generated Node #2: [32, 47, 3] from Operation: 9/3=3 Current State: 45:[32, 47, 3], Operations: ['9/3=3'] Exploring Operation: 47-32=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 47-32=15 Current State: 45:[3, 15], Operations: ['9/3=3', '47-32=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 62, 97, 93, 95 ]
66
[ "95-93=2", "62/2=31", "97-31=66" ]
Current State: 66:[62, 97, 93, 95], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [62, 97, 2] Generated Node #2: [62, 97, 2] from Operation: 95-93=2 Current State: 66:[62, 97, 2], Operations: ['95-93=2'] Exploring Operation: 62/2=31, Resulting Numbers: [97, 31] Generated Node #3: [97, 31] from Operation: 62/2=31 Current State: 66:[97, 31], Operations: ['95-93=2', '62/2=31'] Exploring Operation: 97-31=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 14, 65, 48, 91 ]
38
[ "14*65=910", "910/91=10", "48-10=38" ]
Current State: 38:[14, 65, 48, 91], Operations: [] Exploring Operation: 14*65=910, Resulting Numbers: [48, 91, 910] Generated Node #2: [48, 91, 910] from Operation: 14*65=910 Current State: 38:[48, 91, 910], Operations: ['14*65=910'] Exploring Operation: 910/91=10, Resulting Numbers: [48, 10] Generated Node #3: [48, 10] from Operation: 910/91=10 Current State: 38:[48, 10], Operations: ['14*65=910', '910/91=10'] Exploring Operation: 48-10=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 70, 80, 75, 14 ]
91
[ "70/14=5", "80/5=16", "75+16=91" ]
Current State: 91:[70, 80, 75, 14], Operations: [] Exploring Operation: 70/14=5, Resulting Numbers: [80, 75, 5] Generated Node #2: [80, 75, 5] from Operation: 70/14=5 Current State: 91:[80, 75, 5], Operations: ['70/14=5'] Exploring Operation: 80/5=16, Resulting Numbers: [75, 16] Generated Node #3: [75, 16] from Operation: 80/5=16 Current State: 91:[75, 16], Operations: ['70/14=5', '80/5=16'] Exploring Operation: 75+16=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 67, 34, 53, 69 ]
70
[ "69-67=2", "34/2=17", "53+17=70" ]
Current State: 70:[67, 34, 53, 69], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [34, 53, 2] Generated Node #2: [34, 53, 2] from Operation: 69-67=2 Current State: 70:[34, 53, 2], Operations: ['69-67=2'] Exploring Operation: 34/2=17, Resulting Numbers: [53, 17] Generated Node #3: [53, 17] from Operation: 34/2=17 Current State: 70:[53, 17], Operations: ['69-67=2', '34/2=17'] Exploring Operation: 53+17=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 38, 51, 69, 90 ]
34
[ "51-38=13", "90-69=21", "13+21=34" ]
Current State: 34:[38, 51, 69, 90], Operations: [] Exploring Operation: 51-38=13, Resulting Numbers: [69, 90, 13] Generated Node #2: [69, 90, 13] from Operation: 51-38=13 Current State: 34:[69, 90, 13], Operations: ['51-38=13'] Exploring Operation: 90-69=21, Resulting Numbers: [13, 21] Generated Node #3: [13, 21] from Operation: 90-69=21 Current State: 34:[13, 21], Operations: ['51-38=13', '90-69=21'] Exploring Operation: 13+21=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 19, 60, 58, 22 ]
63
[ "60-58=2", "22*2=44", "19+44=63" ]
Current State: 63:[19, 60, 58, 22], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [19, 22, 2] Generated Node #2: [19, 22, 2] from Operation: 60-58=2 Current State: 63:[19, 22, 2], Operations: ['60-58=2'] Exploring Operation: 22*2=44, Resulting Numbers: [19, 44] Generated Node #3: [19, 44] from Operation: 22*2=44 Current State: 63:[19, 44], Operations: ['60-58=2', '22*2=44'] Exploring Operation: 19+44=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 53, 52, 3, 53 ]
26
[ "53/53=1", "3-1=2", "52/2=26" ]
Current State: 26:[53, 52, 3, 53], Operations: [] Exploring Operation: 53/53=1, Resulting Numbers: [52, 3, 1] Generated Node #2: [52, 3, 1] from Operation: 53/53=1 Current State: 26:[52, 3, 1], Operations: ['53/53=1'] Exploring Operation: 3-1=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 3-1=2 Current State: 26:[52, 2], Operations: ['53/53=1', '3-1=2'] Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 23, 50, 44, 38 ]
94
[ "50*44=2200", "2200-38=2162", "2162/23=94" ]
Current State: 94:[23, 50, 44, 38], Operations: [] Exploring Operation: 50*44=2200, Resulting Numbers: [23, 38, 2200] Generated Node #2: [23, 38, 2200] from Operation: 50*44=2200 Current State: 94:[23, 38, 2200], Operations: ['50*44=2200'] Exploring Operation: 2200-38=2162, Resulting Numbers: [23, 2162] Generated Node #3: [23, 2162] from Operation: 2200-38=2162 Current State: 94:[23, 2162], Operations: ['50*44=2200', '2200-38=2162'] Exploring Operation: 2162/23=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 59, 3, 63, 40 ]
28
[ "63-59=4", "3*4=12", "40-12=28" ]
Current State: 28:[59, 3, 63, 40], Operations: [] Exploring Operation: 63-59=4, Resulting Numbers: [3, 40, 4] Generated Node #2: [3, 40, 4] from Operation: 63-59=4 Current State: 28:[3, 40, 4], Operations: ['63-59=4'] Exploring Operation: 3*4=12, Resulting Numbers: [40, 12] Generated Node #3: [40, 12] from Operation: 3*4=12 Current State: 28:[40, 12], Operations: ['63-59=4', '3*4=12'] Exploring Operation: 40-12=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 86, 44, 30, 2 ]
95
[ "86+44=130", "130/2=65", "30+65=95" ]
Current State: 95:[86, 44, 30, 2], Operations: [] Exploring Operation: 86+44=130, Resulting Numbers: [30, 2, 130] Generated Node #2: [30, 2, 130] from Operation: 86+44=130 Current State: 95:[30, 2, 130], Operations: ['86+44=130'] Exploring Operation: 130/2=65, Resulting Numbers: [30, 65] Generated Node #3: [30, 65] from Operation: 130/2=65 Current State: 95:[30, 65], Operations: ['86+44=130', '130/2=65'] Exploring Operation: 30+65=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 2, 49, 46, 17 ]
39
[ "49+46=95", "95-17=78", "78/2=39" ]
Current State: 39:[2, 49, 46, 17], Operations: [] Exploring Operation: 49+46=95, Resulting Numbers: [2, 17, 95] Generated Node #2: [2, 17, 95] from Operation: 49+46=95 Current State: 39:[2, 17, 95], Operations: ['49+46=95'] Exploring Operation: 95-17=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 95-17=78 Current State: 39:[2, 78], Operations: ['49+46=95', '95-17=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 5, 78, 39, 50 ]
29
[ "50/5=10", "78-39=39", "39-10=29" ]
Current State: 29:[5, 78, 39, 50], Operations: [] Exploring Operation: 50/5=10, Resulting Numbers: [78, 39, 10] Generated Node #2: [78, 39, 10] from Operation: 50/5=10 Current State: 29:[78, 39, 10], Operations: ['50/5=10'] Exploring Operation: 78-39=39, Resulting Numbers: [10, 39] Generated Node #3: [10, 39] from Operation: 78-39=39 Current State: 29:[10, 39], Operations: ['50/5=10', '78-39=39'] Exploring Operation: 39-10=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 83, 49, 3, 13 ]
81
[ "83+13=96", "96/3=32", "49+32=81" ]
Current State: 81:[83, 49, 3, 13], Operations: [] Exploring Operation: 83+13=96, Resulting Numbers: [49, 3, 96] Generated Node #2: [49, 3, 96] from Operation: 83+13=96 Current State: 81:[49, 3, 96], Operations: ['83+13=96'] Exploring Operation: 96/3=32, Resulting Numbers: [49, 32] Generated Node #3: [49, 32] from Operation: 96/3=32 Current State: 81:[49, 32], Operations: ['83+13=96', '96/3=32'] Exploring Operation: 49+32=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 66, 7, 45, 93 ]
11
[ "66-7=59", "93-45=48", "59-48=11" ]
Current State: 11:[66, 7, 45, 93], Operations: [] Exploring Operation: 66-7=59, Resulting Numbers: [45, 93, 59] Generated Node #2: [45, 93, 59] from Operation: 66-7=59 Current State: 11:[45, 93, 59], Operations: ['66-7=59'] Exploring Operation: 93-45=48, Resulting Numbers: [59, 48] Generated Node #3: [59, 48] from Operation: 93-45=48 Current State: 11:[59, 48], Operations: ['66-7=59', '93-45=48'] Exploring Operation: 59-48=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 4, 87, 15, 53 ]
26
[ "4*15=60", "87-53=34", "60-34=26" ]
Current State: 26:[4, 87, 15, 53], Operations: [] Exploring Operation: 4*15=60, Resulting Numbers: [87, 53, 60] Generated Node #2: [87, 53, 60] from Operation: 4*15=60 Current State: 26:[87, 53, 60], Operations: ['4*15=60'] Exploring Operation: 87-53=34, Resulting Numbers: [60, 34] Generated Node #3: [60, 34] from Operation: 87-53=34 Current State: 26:[60, 34], Operations: ['4*15=60', '87-53=34'] Exploring Operation: 60-34=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 52, 21, 4, 24 ]
23
[ "52+21=73", "4*24=96", "96-73=23" ]
Current State: 23:[52, 21, 4, 24], Operations: [] Exploring Operation: 52+21=73, Resulting Numbers: [4, 24, 73] Generated Node #2: [4, 24, 73] from Operation: 52+21=73 Current State: 23:[4, 24, 73], Operations: ['52+21=73'] Exploring Operation: 4*24=96, Resulting Numbers: [73, 96] Generated Node #3: [73, 96] from Operation: 4*24=96 Current State: 23:[73, 96], Operations: ['52+21=73', '4*24=96'] Exploring Operation: 96-73=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 59, 57, 69, 1 ]
70
[ "59-57=2", "69-1=68", "2+68=70" ]
Current State: 70:[59, 57, 69, 1], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [69, 1, 2] Generated Node #2: [69, 1, 2] from Operation: 59-57=2 Current State: 70:[69, 1, 2], Operations: ['59-57=2'] Exploring Operation: 69-1=68, Resulting Numbers: [2, 68] Generated Node #3: [2, 68] from Operation: 69-1=68 Current State: 70:[2, 68], Operations: ['59-57=2', '69-1=68'] Exploring Operation: 2+68=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 44, 21, 70, 72 ]
43
[ "72-70=2", "44/2=22", "21+22=43" ]
Current State: 43:[44, 21, 70, 72], Operations: [] Exploring Operation: 72-70=2, Resulting Numbers: [44, 21, 2] Generated Node #2: [44, 21, 2] from Operation: 72-70=2 Current State: 43:[44, 21, 2], Operations: ['72-70=2'] Exploring Operation: 44/2=22, Resulting Numbers: [21, 22] Generated Node #3: [21, 22] from Operation: 44/2=22 Current State: 43:[21, 22], Operations: ['72-70=2', '44/2=22'] Exploring Operation: 21+22=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 4, 55, 58, 23 ]
50
[ "55-23=32", "32/4=8", "58-8=50" ]
Current State: 50:[4, 55, 58, 23], Operations: [] Exploring Operation: 55-23=32, Resulting Numbers: [4, 58, 32] Generated Node #2: [4, 58, 32] from Operation: 55-23=32 Current State: 50:[4, 58, 32], Operations: ['55-23=32'] Exploring Operation: 32/4=8, Resulting Numbers: [58, 8] Generated Node #3: [58, 8] from Operation: 32/4=8 Current State: 50:[58, 8], Operations: ['55-23=32', '32/4=8'] Exploring Operation: 58-8=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 83, 56, 25, 78 ]
61
[ "83-78=5", "25/5=5", "56+5=61" ]
Current State: 61:[83, 56, 25, 78], Operations: [] Exploring Operation: 83-78=5, Resulting Numbers: [56, 25, 5] Generated Node #2: [56, 25, 5] from Operation: 83-78=5 Current State: 61:[56, 25, 5], Operations: ['83-78=5'] Exploring Operation: 25/5=5, Resulting Numbers: [56, 5] Generated Node #3: [56, 5] from Operation: 25/5=5 Current State: 61:[56, 5], Operations: ['83-78=5', '25/5=5'] Exploring Operation: 56+5=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 15, 31, 50, 25 ]
25
[ "15*50=750", "31*25=775", "775-750=25" ]
Current State: 25:[15, 31, 50, 25], Operations: [] Exploring Operation: 15*50=750, Resulting Numbers: [31, 25, 750] Generated Node #2: [31, 25, 750] from Operation: 15*50=750 Current State: 25:[31, 25, 750], Operations: ['15*50=750'] Exploring Operation: 31*25=775, Resulting Numbers: [750, 775] Generated Node #3: [750, 775] from Operation: 31*25=775 Current State: 25:[750, 775], Operations: ['15*50=750', '31*25=775'] Exploring Operation: 775-750=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 31, 7, 19, 35 ]
33
[ "31+7=38", "38/19=2", "35-2=33" ]
Current State: 33:[31, 7, 19, 35], Operations: [] Exploring Operation: 31+7=38, Resulting Numbers: [19, 35, 38] Generated Node #2: [19, 35, 38] from Operation: 31+7=38 Current State: 33:[19, 35, 38], Operations: ['31+7=38'] Exploring Operation: 38/19=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 38/19=2 Current State: 33:[35, 2], Operations: ['31+7=38', '38/19=2'] Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 23, 22, 24, 32 ]
64
[ "22+24=46", "46/23=2", "32*2=64" ]
Current State: 64:[23, 22, 24, 32], Operations: [] Exploring Operation: 22+24=46, Resulting Numbers: [23, 32, 46] Generated Node #2: [23, 32, 46] from Operation: 22+24=46 Current State: 64:[23, 32, 46], Operations: ['22+24=46'] Exploring Operation: 46/23=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 46/23=2 Current State: 64:[32, 2], Operations: ['22+24=46', '46/23=2'] Exploring Operation: 32*2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 5, 45, 97, 89 ]
17
[ "45/5=9", "97-89=8", "9+8=17" ]
Current State: 17:[5, 45, 97, 89], Operations: [] Exploring Operation: 45/5=9, Resulting Numbers: [97, 89, 9] Generated Node #2: [97, 89, 9] from Operation: 45/5=9 Current State: 17:[97, 89, 9], Operations: ['45/5=9'] Exploring Operation: 97-89=8, Resulting Numbers: [9, 8] Generated Node #3: [9, 8] from Operation: 97-89=8 Current State: 17:[9, 8], Operations: ['45/5=9', '97-89=8'] Exploring Operation: 9+8=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 41, 18, 24, 16 ]
55
[ "24-18=6", "16*6=96", "96-41=55" ]
Current State: 55:[41, 18, 24, 16], Operations: [] Exploring Operation: 24-18=6, Resulting Numbers: [41, 16, 6] Generated Node #2: [41, 16, 6] from Operation: 24-18=6 Current State: 55:[41, 16, 6], Operations: ['24-18=6'] Exploring Operation: 16*6=96, Resulting Numbers: [41, 96] Generated Node #3: [41, 96] from Operation: 16*6=96 Current State: 55:[41, 96], Operations: ['24-18=6', '16*6=96'] Exploring Operation: 96-41=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 67, 33, 58, 40 ]
52
[ "67-33=34", "58-40=18", "34+18=52" ]
Current State: 52:[67, 33, 58, 40], Operations: [] Exploring Operation: 67-33=34, Resulting Numbers: [58, 40, 34] Generated Node #2: [58, 40, 34] from Operation: 67-33=34 Current State: 52:[58, 40, 34], Operations: ['67-33=34'] Exploring Operation: 58-40=18, Resulting Numbers: [34, 18] Generated Node #3: [34, 18] from Operation: 58-40=18 Current State: 52:[34, 18], Operations: ['67-33=34', '58-40=18'] Exploring Operation: 34+18=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 88, 1, 86, 96 ]
97
[ "88-1=87", "96-86=10", "87+10=97" ]
Current State: 97:[88, 1, 86, 96], Operations: [] Exploring Operation: 88-1=87, Resulting Numbers: [86, 96, 87] Generated Node #2: [86, 96, 87] from Operation: 88-1=87 Current State: 97:[86, 96, 87], Operations: ['88-1=87'] Exploring Operation: 96-86=10, Resulting Numbers: [87, 10] Generated Node #3: [87, 10] from Operation: 96-86=10 Current State: 97:[87, 10], Operations: ['88-1=87', '96-86=10'] Exploring Operation: 87+10=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 91, 90, 4, 5 ]
19
[ "91-90=1", "4*5=20", "20-1=19" ]
Current State: 19:[91, 90, 4, 5], Operations: [] Exploring Operation: 91-90=1, Resulting Numbers: [4, 5, 1] Generated Node #2: [4, 5, 1] from Operation: 91-90=1 Current State: 19:[4, 5, 1], Operations: ['91-90=1'] Exploring Operation: 4*5=20, Resulting Numbers: [1, 20] Generated Node #3: [1, 20] from Operation: 4*5=20 Current State: 19:[1, 20], Operations: ['91-90=1', '4*5=20'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 86, 49, 58, 7 ]
88
[ "86-49=37", "58-7=51", "37+51=88" ]
Current State: 88:[86, 49, 58, 7], Operations: [] Exploring Operation: 86-49=37, Resulting Numbers: [58, 7, 37] Generated Node #2: [58, 7, 37] from Operation: 86-49=37 Current State: 88:[58, 7, 37], Operations: ['86-49=37'] Exploring Operation: 58-7=51, Resulting Numbers: [37, 51] Generated Node #3: [37, 51] from Operation: 58-7=51 Current State: 88:[37, 51], Operations: ['86-49=37', '58-7=51'] Exploring Operation: 37+51=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 74, 1, 4, 55 ]
24
[ "74+1=75", "55-4=51", "75-51=24" ]
Current State: 24:[74, 1, 4, 55], Operations: [] Exploring Operation: 74+1=75, Resulting Numbers: [4, 55, 75] Generated Node #2: [4, 55, 75] from Operation: 74+1=75 Current State: 24:[4, 55, 75], Operations: ['74+1=75'] Exploring Operation: 55-4=51, Resulting Numbers: [75, 51] Generated Node #3: [75, 51] from Operation: 55-4=51 Current State: 24:[75, 51], Operations: ['74+1=75', '55-4=51'] Exploring Operation: 75-51=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 32, 92, 25, 92 ]
57
[ "32+92=124", "92-25=67", "124-67=57" ]
Current State: 57:[32, 92, 25, 92], Operations: [] Exploring Operation: 32+92=124, Resulting Numbers: [25, 124] Generated Node #2: [25, 124] from Operation: 32+92=124 Current State: 57:[25, 124], Operations: ['32+92=124'] Exploring Operation: 92-25=67, Resulting Numbers: [124, 67] Generated Node #3: [124, 67] from Operation: 92-25=67 Current State: 57:[124, 67], Operations: ['32+92=124', '92-25=67'] Exploring Operation: 124-67=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 55, 25, 50, 17 ]
63
[ "55-25=30", "50-17=33", "30+33=63" ]
Current State: 63:[55, 25, 50, 17], Operations: [] Exploring Operation: 55-25=30, Resulting Numbers: [50, 17, 30] Generated Node #2: [50, 17, 30] from Operation: 55-25=30 Current State: 63:[50, 17, 30], Operations: ['55-25=30'] Exploring Operation: 50-17=33, Resulting Numbers: [30, 33] Generated Node #3: [30, 33] from Operation: 50-17=33 Current State: 63:[30, 33], Operations: ['55-25=30', '50-17=33'] Exploring Operation: 30+33=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 46, 37, 67, 2 ]
39
[ "46+67=113", "37*2=74", "113-74=39" ]
Current State: 39:[46, 37, 67, 2], Operations: [] Exploring Operation: 46+67=113, Resulting Numbers: [37, 2, 113] Generated Node #2: [37, 2, 113] from Operation: 46+67=113 Current State: 39:[37, 2, 113], Operations: ['46+67=113'] Exploring Operation: 37*2=74, Resulting Numbers: [113, 74] Generated Node #3: [113, 74] from Operation: 37*2=74 Current State: 39:[113, 74], Operations: ['46+67=113', '37*2=74'] Exploring Operation: 113-74=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 63, 34, 2, 79 ]
42
[ "79-63=16", "16/2=8", "34+8=42" ]
Current State: 42:[63, 34, 2, 79], Operations: [] Exploring Operation: 79-63=16, Resulting Numbers: [34, 2, 16] Generated Node #2: [34, 2, 16] from Operation: 79-63=16 Current State: 42:[34, 2, 16], Operations: ['79-63=16'] Exploring Operation: 16/2=8, Resulting Numbers: [34, 8] Generated Node #3: [34, 8] from Operation: 16/2=8 Current State: 42:[34, 8], Operations: ['79-63=16', '16/2=8'] Exploring Operation: 34+8=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 99, 99, 78, 57 ]
21
[ "99-99=0", "78-57=21", "0+21=21" ]
Current State: 21:[99, 99, 78, 57], Operations: [] Exploring Operation: 99-99=0, Resulting Numbers: [78, 57, 0] Generated Node #2: [78, 57, 0] from Operation: 99-99=0 Current State: 21:[78, 57, 0], Operations: ['99-99=0'] Exploring Operation: 78-57=21, Resulting Numbers: [0, 21] Generated Node #3: [0, 21] from Operation: 78-57=21 Current State: 21:[0, 21], Operations: ['99-99=0', '78-57=21'] Exploring Operation: 0+21=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 44, 90, 18, 45 ]
18
[ "90-44=46", "46-45=1", "18*1=18" ]
Current State: 18:[44, 90, 18, 45], Operations: [] Exploring Operation: 90-44=46, Resulting Numbers: [18, 45, 46] Generated Node #2: [18, 45, 46] from Operation: 90-44=46 Current State: 18:[18, 45, 46], Operations: ['90-44=46'] Exploring Operation: 46-45=1, Resulting Numbers: [18, 1] Generated Node #3: [18, 1] from Operation: 46-45=1 Current State: 18:[18, 1], Operations: ['90-44=46', '46-45=1'] Exploring Operation: 18*1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 89, 2, 68, 90 ]
34
[ "90-89=1", "68/2=34", "1*34=34" ]
Current State: 34:[89, 2, 68, 90], Operations: [] Exploring Operation: 90-89=1, Resulting Numbers: [2, 68, 1] Generated Node #2: [2, 68, 1] from Operation: 90-89=1 Current State: 34:[2, 68, 1], Operations: ['90-89=1'] Exploring Operation: 68/2=34, Resulting Numbers: [1, 34] Generated Node #3: [1, 34] from Operation: 68/2=34 Current State: 34:[1, 34], Operations: ['90-89=1', '68/2=34'] Exploring Operation: 1*34=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 6, 68, 53, 61 ]
40
[ "6+68=74", "53+61=114", "114-74=40" ]
Current State: 40:[6, 68, 53, 61], Operations: [] Exploring Operation: 6+68=74, Resulting Numbers: [53, 61, 74] Generated Node #2: [53, 61, 74] from Operation: 6+68=74 Current State: 40:[53, 61, 74], Operations: ['6+68=74'] Exploring Operation: 53+61=114, Resulting Numbers: [74, 114] Generated Node #3: [74, 114] from Operation: 53+61=114 Current State: 40:[74, 114], Operations: ['6+68=74', '53+61=114'] Exploring Operation: 114-74=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 97, 12, 92, 10 ]
89
[ "92-12=80", "80/10=8", "97-8=89" ]
Current State: 89:[97, 12, 92, 10], Operations: [] Exploring Operation: 92-12=80, Resulting Numbers: [97, 10, 80] Generated Node #2: [97, 10, 80] from Operation: 92-12=80 Current State: 89:[97, 10, 80], Operations: ['92-12=80'] Exploring Operation: 80/10=8, Resulting Numbers: [97, 8] Generated Node #3: [97, 8] from Operation: 80/10=8 Current State: 89:[97, 8], Operations: ['92-12=80', '80/10=8'] Exploring Operation: 97-8=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 80, 99, 70, 75 ]
24
[ "99-80=19", "75-70=5", "19+5=24" ]
Current State: 24:[80, 99, 70, 75], Operations: [] Exploring Operation: 99-80=19, Resulting Numbers: [70, 75, 19] Generated Node #2: [70, 75, 19] from Operation: 99-80=19 Current State: 24:[70, 75, 19], Operations: ['99-80=19'] Exploring Operation: 75-70=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 75-70=5 Current State: 24:[19, 5], Operations: ['99-80=19', '75-70=5'] Exploring Operation: 19+5=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 95, 62, 17, 52 ]
36
[ "95-62=33", "17+52=69", "69-33=36" ]
Current State: 36:[95, 62, 17, 52], Operations: [] Exploring Operation: 95-62=33, Resulting Numbers: [17, 52, 33] Generated Node #2: [17, 52, 33] from Operation: 95-62=33 Current State: 36:[17, 52, 33], Operations: ['95-62=33'] Exploring Operation: 17+52=69, Resulting Numbers: [33, 69] Generated Node #3: [33, 69] from Operation: 17+52=69 Current State: 36:[33, 69], Operations: ['95-62=33', '17+52=69'] Exploring Operation: 69-33=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 24, 67, 1, 48 ]
70
[ "48/24=2", "67+1=68", "2+68=70" ]
Current State: 70:[24, 67, 1, 48], Operations: [] Exploring Operation: 48/24=2, Resulting Numbers: [67, 1, 2] Generated Node #2: [67, 1, 2] from Operation: 48/24=2 Current State: 70:[67, 1, 2], Operations: ['48/24=2'] Exploring Operation: 67+1=68, Resulting Numbers: [2, 68] Generated Node #3: [2, 68] from Operation: 67+1=68 Current State: 70:[2, 68], Operations: ['48/24=2', '67+1=68'] Exploring Operation: 2+68=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 21, 53, 98, 43 ]
19
[ "21+53=74", "98-43=55", "74-55=19" ]
Current State: 19:[21, 53, 98, 43], Operations: [] Exploring Operation: 21+53=74, Resulting Numbers: [98, 43, 74] Generated Node #2: [98, 43, 74] from Operation: 21+53=74 Current State: 19:[98, 43, 74], Operations: ['21+53=74'] Exploring Operation: 98-43=55, Resulting Numbers: [74, 55] Generated Node #3: [74, 55] from Operation: 98-43=55 Current State: 19:[74, 55], Operations: ['21+53=74', '98-43=55'] Exploring Operation: 74-55=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 16, 55, 28, 19 ]
44
[ "16+19=35", "55*28=1540", "1540/35=44" ]
Current State: 44:[16, 55, 28, 19], Operations: [] Exploring Operation: 16+19=35, Resulting Numbers: [55, 28, 35] Generated Node #2: [55, 28, 35] from Operation: 16+19=35 Current State: 44:[55, 28, 35], Operations: ['16+19=35'] Exploring Operation: 55*28=1540, Resulting Numbers: [35, 1540] Generated Node #3: [35, 1540] from Operation: 55*28=1540 Current State: 44:[35, 1540], Operations: ['16+19=35', '55*28=1540'] Exploring Operation: 1540/35=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 75, 39, 24, 87 ]
41
[ "87-75=12", "24/12=2", "39+2=41" ]
Current State: 41:[75, 39, 24, 87], Operations: [] Exploring Operation: 87-75=12, Resulting Numbers: [39, 24, 12] Generated Node #2: [39, 24, 12] from Operation: 87-75=12 Current State: 41:[39, 24, 12], Operations: ['87-75=12'] Exploring Operation: 24/12=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 24/12=2 Current State: 41:[39, 2], Operations: ['87-75=12', '24/12=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 27, 44, 29, 62 ]
20
[ "27+44=71", "29+62=91", "91-71=20" ]
Current State: 20:[27, 44, 29, 62], Operations: [] Exploring Operation: 27+44=71, Resulting Numbers: [29, 62, 71] Generated Node #2: [29, 62, 71] from Operation: 27+44=71 Current State: 20:[29, 62, 71], Operations: ['27+44=71'] Exploring Operation: 29+62=91, Resulting Numbers: [71, 91] Generated Node #3: [71, 91] from Operation: 29+62=91 Current State: 20:[71, 91], Operations: ['27+44=71', '29+62=91'] Exploring Operation: 91-71=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 83, 3, 27, 23 ]
90
[ "83+3=86", "27-23=4", "86+4=90" ]
Current State: 90:[83, 3, 27, 23], Operations: [] Exploring Operation: 83+3=86, Resulting Numbers: [27, 23, 86] Generated Node #2: [27, 23, 86] from Operation: 83+3=86 Current State: 90:[27, 23, 86], Operations: ['83+3=86'] Exploring Operation: 27-23=4, Resulting Numbers: [86, 4] Generated Node #3: [86, 4] from Operation: 27-23=4 Current State: 90:[86, 4], Operations: ['83+3=86', '27-23=4'] Exploring Operation: 86+4=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 29, 21, 97, 9 ]
38
[ "29+21=50", "97-9=88", "88-50=38" ]
Current State: 38:[29, 21, 97, 9], Operations: [] Exploring Operation: 29+21=50, Resulting Numbers: [97, 9, 50] Generated Node #2: [97, 9, 50] from Operation: 29+21=50 Current State: 38:[97, 9, 50], Operations: ['29+21=50'] Exploring Operation: 97-9=88, Resulting Numbers: [50, 88] Generated Node #3: [50, 88] from Operation: 97-9=88 Current State: 38:[50, 88], Operations: ['29+21=50', '97-9=88'] Exploring Operation: 88-50=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 45, 90, 21, 39 ]
16
[ "90/45=2", "39-21=18", "18-2=16" ]
Current State: 16:[45, 90, 21, 39], Operations: [] Exploring Operation: 90/45=2, Resulting Numbers: [21, 39, 2] Generated Node #2: [21, 39, 2] from Operation: 90/45=2 Current State: 16:[21, 39, 2], Operations: ['90/45=2'] Exploring Operation: 39-21=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 39-21=18 Current State: 16:[2, 18], Operations: ['90/45=2', '39-21=18'] Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 18, 58, 56, 63 ]
54
[ "58-56=2", "18/2=9", "63-9=54" ]
Current State: 54:[18, 58, 56, 63], Operations: [] Exploring Operation: 58-56=2, Resulting Numbers: [18, 63, 2] Generated Node #2: [18, 63, 2] from Operation: 58-56=2 Current State: 54:[18, 63, 2], Operations: ['58-56=2'] Exploring Operation: 18/2=9, Resulting Numbers: [63, 9] Generated Node #3: [63, 9] from Operation: 18/2=9 Current State: 54:[63, 9], Operations: ['58-56=2', '18/2=9'] Exploring Operation: 63-9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 5, 94, 4, 93 ]
89
[ "5*93=465", "94*4=376", "465-376=89" ]
Current State: 89:[5, 94, 4, 93], Operations: [] Exploring Operation: 5*93=465, Resulting Numbers: [94, 4, 465] Generated Node #2: [94, 4, 465] from Operation: 5*93=465 Current State: 89:[94, 4, 465], Operations: ['5*93=465'] Exploring Operation: 94*4=376, Resulting Numbers: [465, 376] Generated Node #3: [465, 376] from Operation: 94*4=376 Current State: 89:[465, 376], Operations: ['5*93=465', '94*4=376'] Exploring Operation: 465-376=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 40, 18, 35, 54 ]
77
[ "40+18=58", "54-35=19", "58+19=77" ]
Current State: 77:[40, 18, 35, 54], Operations: [] Exploring Operation: 40+18=58, Resulting Numbers: [35, 54, 58] Generated Node #2: [35, 54, 58] from Operation: 40+18=58 Current State: 77:[35, 54, 58], Operations: ['40+18=58'] Exploring Operation: 54-35=19, Resulting Numbers: [58, 19] Generated Node #3: [58, 19] from Operation: 54-35=19 Current State: 77:[58, 19], Operations: ['40+18=58', '54-35=19'] Exploring Operation: 58+19=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 4, 87, 23, 15 ]
20
[ "4*23=92", "87-15=72", "92-72=20" ]
Current State: 20:[4, 87, 23, 15], Operations: [] Exploring Operation: 4*23=92, Resulting Numbers: [87, 15, 92] Generated Node #2: [87, 15, 92] from Operation: 4*23=92 Current State: 20:[87, 15, 92], Operations: ['4*23=92'] Exploring Operation: 87-15=72, Resulting Numbers: [92, 72] Generated Node #3: [92, 72] from Operation: 87-15=72 Current State: 20:[92, 72], Operations: ['4*23=92', '87-15=72'] Exploring Operation: 92-72=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 58, 89, 3, 17 ]
82
[ "89-58=31", "3*17=51", "31+51=82" ]
Current State: 82:[58, 89, 3, 17], Operations: [] Exploring Operation: 89-58=31, Resulting Numbers: [3, 17, 31] Generated Node #2: [3, 17, 31] from Operation: 89-58=31 Current State: 82:[3, 17, 31], Operations: ['89-58=31'] Exploring Operation: 3*17=51, Resulting Numbers: [31, 51] Generated Node #3: [31, 51] from Operation: 3*17=51 Current State: 82:[31, 51], Operations: ['89-58=31', '3*17=51'] Exploring Operation: 31+51=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 2, 76, 72, 8 ]
96
[ "76+8=84", "2*84=168", "168-72=96" ]
Current State: 96:[2, 76, 72, 8], Operations: [] Exploring Operation: 76+8=84, Resulting Numbers: [2, 72, 84] Generated Node #2: [2, 72, 84] from Operation: 76+8=84 Current State: 96:[2, 72, 84], Operations: ['76+8=84'] Exploring Operation: 2*84=168, Resulting Numbers: [72, 168] Generated Node #3: [72, 168] from Operation: 2*84=168 Current State: 96:[72, 168], Operations: ['76+8=84', '2*84=168'] Exploring Operation: 168-72=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 58, 35, 84, 32 ]
37
[ "84+32=116", "116/58=2", "35+2=37" ]
Current State: 37:[58, 35, 84, 32], Operations: [] Exploring Operation: 84+32=116, Resulting Numbers: [58, 35, 116] Generated Node #2: [58, 35, 116] from Operation: 84+32=116 Current State: 37:[58, 35, 116], Operations: ['84+32=116'] Exploring Operation: 116/58=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 116/58=2 Current State: 37:[35, 2], Operations: ['84+32=116', '116/58=2'] Exploring Operation: 35+2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 10, 13, 55, 60 ]
14
[ "13*60=780", "780-10=770", "770/55=14" ]
Current State: 14:[10, 13, 55, 60], Operations: [] Exploring Operation: 13*60=780, Resulting Numbers: [10, 55, 780] Generated Node #2: [10, 55, 780] from Operation: 13*60=780 Current State: 14:[10, 55, 780], Operations: ['13*60=780'] Exploring Operation: 780-10=770, Resulting Numbers: [55, 770] Generated Node #3: [55, 770] from Operation: 780-10=770 Current State: 14:[55, 770], Operations: ['13*60=780', '780-10=770'] Exploring Operation: 770/55=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 94, 31, 22, 27 ]
61
[ "27-22=5", "31*5=155", "155-94=61" ]
Current State: 61:[94, 31, 22, 27], Operations: [] Exploring Operation: 27-22=5, Resulting Numbers: [94, 31, 5] Generated Node #2: [94, 31, 5] from Operation: 27-22=5 Current State: 61:[94, 31, 5], Operations: ['27-22=5'] Exploring Operation: 31*5=155, Resulting Numbers: [94, 155] Generated Node #3: [94, 155] from Operation: 31*5=155 Current State: 61:[94, 155], Operations: ['27-22=5', '31*5=155'] Exploring Operation: 155-94=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 73, 35, 59, 33 ]
66
[ "73+59=132", "35-33=2", "132/2=66" ]
Current State: 66:[73, 35, 59, 33], Operations: [] Exploring Operation: 73+59=132, Resulting Numbers: [35, 33, 132] Generated Node #2: [35, 33, 132] from Operation: 73+59=132 Current State: 66:[35, 33, 132], Operations: ['73+59=132'] Exploring Operation: 35-33=2, Resulting Numbers: [132, 2] Generated Node #3: [132, 2] from Operation: 35-33=2 Current State: 66:[132, 2], Operations: ['73+59=132', '35-33=2'] Exploring Operation: 132/2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 79, 60, 21, 22 ]
62
[ "79-60=19", "21+22=43", "19+43=62" ]
Current State: 62:[79, 60, 21, 22], Operations: [] Exploring Operation: 79-60=19, Resulting Numbers: [21, 22, 19] Generated Node #2: [21, 22, 19] from Operation: 79-60=19 Current State: 62:[21, 22, 19], Operations: ['79-60=19'] Exploring Operation: 21+22=43, Resulting Numbers: [19, 43] Generated Node #3: [19, 43] from Operation: 21+22=43 Current State: 62:[19, 43], Operations: ['79-60=19', '21+22=43'] Exploring Operation: 19+43=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 68, 40, 27, 44 ]
47
[ "68*27=1836", "44+1836=1880", "1880/40=47" ]
Current State: 47:[68, 40, 27, 44], Operations: [] Exploring Operation: 68*27=1836, Resulting Numbers: [40, 44, 1836] Generated Node #2: [40, 44, 1836] from Operation: 68*27=1836 Current State: 47:[40, 44, 1836], Operations: ['68*27=1836'] Exploring Operation: 44+1836=1880, Resulting Numbers: [40, 1880] Generated Node #3: [40, 1880] from Operation: 44+1836=1880 Current State: 47:[40, 1880], Operations: ['68*27=1836', '44+1836=1880'] Exploring Operation: 1880/40=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 69, 20, 28, 46 ]
25
[ "69-20=49", "28+46=74", "74-49=25" ]
Current State: 25:[69, 20, 28, 46], Operations: [] Exploring Operation: 69-20=49, Resulting Numbers: [28, 46, 49] Generated Node #2: [28, 46, 49] from Operation: 69-20=49 Current State: 25:[28, 46, 49], Operations: ['69-20=49'] Exploring Operation: 28+46=74, Resulting Numbers: [49, 74] Generated Node #3: [49, 74] from Operation: 28+46=74 Current State: 25:[49, 74], Operations: ['69-20=49', '28+46=74'] Exploring Operation: 74-49=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 28, 64, 95, 82 ]
96
[ "28+95=123", "64*123=7872", "7872/82=96" ]
Current State: 96:[28, 64, 95, 82], Operations: [] Exploring Operation: 28+95=123, Resulting Numbers: [64, 82, 123] Generated Node #2: [64, 82, 123] from Operation: 28+95=123 Current State: 96:[64, 82, 123], Operations: ['28+95=123'] Exploring Operation: 64*123=7872, Resulting Numbers: [82, 7872] Generated Node #3: [82, 7872] from Operation: 64*123=7872 Current State: 96:[82, 7872], Operations: ['28+95=123', '64*123=7872'] Exploring Operation: 7872/82=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 48, 35, 20, 8 ]
37
[ "48-8=40", "40/20=2", "35+2=37" ]
Current State: 37:[48, 35, 20, 8], Operations: [] Exploring Operation: 48-8=40, Resulting Numbers: [35, 20, 40] Generated Node #2: [35, 20, 40] from Operation: 48-8=40 Current State: 37:[35, 20, 40], Operations: ['48-8=40'] Exploring Operation: 40/20=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 40/20=2 Current State: 37:[35, 2], Operations: ['48-8=40', '40/20=2'] Exploring Operation: 35+2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 46, 26, 77, 14 ]
97
[ "26*77=2002", "2002/14=143", "143-46=97" ]
Current State: 97:[46, 26, 77, 14], Operations: [] Exploring Operation: 26*77=2002, Resulting Numbers: [46, 14, 2002] Generated Node #2: [46, 14, 2002] from Operation: 26*77=2002 Current State: 97:[46, 14, 2002], Operations: ['26*77=2002'] Exploring Operation: 2002/14=143, Resulting Numbers: [46, 143] Generated Node #3: [46, 143] from Operation: 2002/14=143 Current State: 97:[46, 143], Operations: ['26*77=2002', '2002/14=143'] Exploring Operation: 143-46=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 64, 16, 6, 67 ]
99
[ "67-64=3", "16*6=96", "3+96=99" ]
Current State: 99:[64, 16, 6, 67], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [16, 6, 3] Generated Node #2: [16, 6, 3] from Operation: 67-64=3 Current State: 99:[16, 6, 3], Operations: ['67-64=3'] Exploring Operation: 16*6=96, Resulting Numbers: [3, 96] Generated Node #3: [3, 96] from Operation: 16*6=96 Current State: 99:[3, 96], Operations: ['67-64=3', '16*6=96'] Exploring Operation: 3+96=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 27, 67, 15, 84 ]
74
[ "27-15=12", "84/12=7", "67+7=74" ]
Current State: 74:[27, 67, 15, 84], Operations: [] Exploring Operation: 27-15=12, Resulting Numbers: [67, 84, 12] Generated Node #2: [67, 84, 12] from Operation: 27-15=12 Current State: 74:[67, 84, 12], Operations: ['27-15=12'] Exploring Operation: 84/12=7, Resulting Numbers: [67, 7] Generated Node #3: [67, 7] from Operation: 84/12=7 Current State: 74:[67, 7], Operations: ['27-15=12', '84/12=7'] Exploring Operation: 67+7=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 67, 23, 62, 33 ]
15
[ "67-23=44", "62-33=29", "44-29=15" ]
Current State: 15:[67, 23, 62, 33], Operations: [] Exploring Operation: 67-23=44, Resulting Numbers: [62, 33, 44] Generated Node #2: [62, 33, 44] from Operation: 67-23=44 Current State: 15:[62, 33, 44], Operations: ['67-23=44'] Exploring Operation: 62-33=29, Resulting Numbers: [44, 29] Generated Node #3: [44, 29] from Operation: 62-33=29 Current State: 15:[44, 29], Operations: ['67-23=44', '62-33=29'] Exploring Operation: 44-29=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 84, 99, 55, 2 ]
85
[ "99-84=15", "2*15=30", "55+30=85" ]
Current State: 85:[84, 99, 55, 2], Operations: [] Exploring Operation: 99-84=15, Resulting Numbers: [55, 2, 15] Generated Node #2: [55, 2, 15] from Operation: 99-84=15 Current State: 85:[55, 2, 15], Operations: ['99-84=15'] Exploring Operation: 2*15=30, Resulting Numbers: [55, 30] Generated Node #3: [55, 30] from Operation: 2*15=30 Current State: 85:[55, 30], Operations: ['99-84=15', '2*15=30'] Exploring Operation: 55+30=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 71, 2, 16, 63 ]
75
[ "71+16=87", "63+87=150", "150/2=75" ]
Current State: 75:[71, 2, 16, 63], Operations: [] Exploring Operation: 71+16=87, Resulting Numbers: [2, 63, 87] Generated Node #2: [2, 63, 87] from Operation: 71+16=87 Current State: 75:[2, 63, 87], Operations: ['71+16=87'] Exploring Operation: 63+87=150, Resulting Numbers: [2, 150] Generated Node #3: [2, 150] from Operation: 63+87=150 Current State: 75:[2, 150], Operations: ['71+16=87', '63+87=150'] Exploring Operation: 150/2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 69, 51, 97, 62 ]
85
[ "69+51=120", "97-62=35", "120-35=85" ]
Current State: 85:[69, 51, 97, 62], Operations: [] Exploring Operation: 69+51=120, Resulting Numbers: [97, 62, 120] Generated Node #2: [97, 62, 120] from Operation: 69+51=120 Current State: 85:[97, 62, 120], Operations: ['69+51=120'] Exploring Operation: 97-62=35, Resulting Numbers: [120, 35] Generated Node #3: [120, 35] from Operation: 97-62=35 Current State: 85:[120, 35], Operations: ['69+51=120', '97-62=35'] Exploring Operation: 120-35=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 92, 57, 13, 6 ]
11
[ "92+57=149", "149-6=143", "143/13=11" ]
Current State: 11:[92, 57, 13, 6], Operations: [] Exploring Operation: 92+57=149, Resulting Numbers: [13, 6, 149] Generated Node #2: [13, 6, 149] from Operation: 92+57=149 Current State: 11:[13, 6, 149], Operations: ['92+57=149'] Exploring Operation: 149-6=143, Resulting Numbers: [13, 143] Generated Node #3: [13, 143] from Operation: 149-6=143 Current State: 11:[13, 143], Operations: ['92+57=149', '149-6=143'] Exploring Operation: 143/13=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 59, 46, 83, 4 ]
74
[ "59-46=13", "83+4=87", "87-13=74" ]
Current State: 74:[59, 46, 83, 4], Operations: [] Exploring Operation: 59-46=13, Resulting Numbers: [83, 4, 13] Generated Node #2: [83, 4, 13] from Operation: 59-46=13 Current State: 74:[83, 4, 13], Operations: ['59-46=13'] Exploring Operation: 83+4=87, Resulting Numbers: [13, 87] Generated Node #3: [13, 87] from Operation: 83+4=87 Current State: 74:[13, 87], Operations: ['59-46=13', '83+4=87'] Exploring Operation: 87-13=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 72, 14, 94, 6 ]
90
[ "14+94=108", "108/6=18", "72+18=90" ]
Current State: 90:[72, 14, 94, 6], Operations: [] Exploring Operation: 14+94=108, Resulting Numbers: [72, 6, 108] Generated Node #2: [72, 6, 108] from Operation: 14+94=108 Current State: 90:[72, 6, 108], Operations: ['14+94=108'] Exploring Operation: 108/6=18, Resulting Numbers: [72, 18] Generated Node #3: [72, 18] from Operation: 108/6=18 Current State: 90:[72, 18], Operations: ['14+94=108', '108/6=18'] Exploring Operation: 72+18=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 24, 74, 37, 51 ]
63
[ "24*37=888", "888/74=12", "51+12=63" ]
Current State: 63:[24, 74, 37, 51], Operations: [] Exploring Operation: 24*37=888, Resulting Numbers: [74, 51, 888] Generated Node #2: [74, 51, 888] from Operation: 24*37=888 Current State: 63:[74, 51, 888], Operations: ['24*37=888'] Exploring Operation: 888/74=12, Resulting Numbers: [51, 12] Generated Node #3: [51, 12] from Operation: 888/74=12 Current State: 63:[51, 12], Operations: ['24*37=888', '888/74=12'] Exploring Operation: 51+12=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 18, 53, 34, 73 ]
32
[ "18+53=71", "73-34=39", "71-39=32" ]
Current State: 32:[18, 53, 34, 73], Operations: [] Exploring Operation: 18+53=71, Resulting Numbers: [34, 73, 71] Generated Node #2: [34, 73, 71] from Operation: 18+53=71 Current State: 32:[34, 73, 71], Operations: ['18+53=71'] Exploring Operation: 73-34=39, Resulting Numbers: [71, 39] Generated Node #3: [71, 39] from Operation: 73-34=39 Current State: 32:[71, 39], Operations: ['18+53=71', '73-34=39'] Exploring Operation: 71-39=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 5, 25, 35, 24 ]
16
[ "25/5=5", "35-24=11", "5+11=16" ]
Current State: 16:[5, 25, 35, 24], Operations: [] Exploring Operation: 25/5=5, Resulting Numbers: [35, 24, 5] Generated Node #2: [35, 24, 5] from Operation: 25/5=5 Current State: 16:[35, 24, 5], Operations: ['25/5=5'] Exploring Operation: 35-24=11, Resulting Numbers: [5, 11] Generated Node #3: [5, 11] from Operation: 35-24=11 Current State: 16:[5, 11], Operations: ['25/5=5', '35-24=11'] Exploring Operation: 5+11=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 92, 76, 88, 17 ]
63
[ "92+76=168", "88+17=105", "168-105=63" ]
Current State: 63:[92, 76, 88, 17], Operations: [] Exploring Operation: 92+76=168, Resulting Numbers: [88, 17, 168] Generated Node #2: [88, 17, 168] from Operation: 92+76=168 Current State: 63:[88, 17, 168], Operations: ['92+76=168'] Exploring Operation: 88+17=105, Resulting Numbers: [168, 105] Generated Node #3: [168, 105] from Operation: 88+17=105 Current State: 63:[168, 105], Operations: ['92+76=168', '88+17=105'] Exploring Operation: 168-105=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 56, 41, 65, 9 ]
71
[ "56-41=15", "65-9=56", "15+56=71" ]
Current State: 71:[56, 41, 65, 9], Operations: [] Exploring Operation: 56-41=15, Resulting Numbers: [65, 9, 15] Generated Node #2: [65, 9, 15] from Operation: 56-41=15 Current State: 71:[65, 9, 15], Operations: ['56-41=15'] Exploring Operation: 65-9=56, Resulting Numbers: [15, 56] Generated Node #3: [15, 56] from Operation: 65-9=56 Current State: 71:[15, 56], Operations: ['56-41=15', '65-9=56'] Exploring Operation: 15+56=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 91, 67, 20, 51 ]
69
[ "91-51=40", "40/20=2", "67+2=69" ]
Current State: 69:[91, 67, 20, 51], Operations: [] Exploring Operation: 91-51=40, Resulting Numbers: [67, 20, 40] Generated Node #2: [67, 20, 40] from Operation: 91-51=40 Current State: 69:[67, 20, 40], Operations: ['91-51=40'] Exploring Operation: 40/20=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 40/20=2 Current State: 69:[67, 2], Operations: ['91-51=40', '40/20=2'] Exploring Operation: 67+2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 52, 71, 88, 4 ]
12
[ "71-52=19", "4*19=76", "88-76=12" ]
Current State: 12:[52, 71, 88, 4], Operations: [] Exploring Operation: 71-52=19, Resulting Numbers: [88, 4, 19] Generated Node #2: [88, 4, 19] from Operation: 71-52=19 Current State: 12:[88, 4, 19], Operations: ['71-52=19'] Exploring Operation: 4*19=76, Resulting Numbers: [88, 76] Generated Node #3: [88, 76] from Operation: 4*19=76 Current State: 12:[88, 76], Operations: ['71-52=19', '4*19=76'] Exploring Operation: 88-76=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 3, 55, 74, 1 ]
38
[ "3-1=2", "74-55=19", "2*19=38" ]
Current State: 38:[3, 55, 74, 1], Operations: [] Exploring Operation: 3-1=2, Resulting Numbers: [55, 74, 2] Generated Node #2: [55, 74, 2] from Operation: 3-1=2 Current State: 38:[55, 74, 2], Operations: ['3-1=2'] Exploring Operation: 74-55=19, Resulting Numbers: [2, 19] Generated Node #3: [2, 19] from Operation: 74-55=19 Current State: 38:[2, 19], Operations: ['3-1=2', '74-55=19'] Exploring Operation: 2*19=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 56, 96, 61, 26 ]
14
[ "61-56=5", "96-26=70", "70/5=14" ]
Current State: 14:[56, 96, 61, 26], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [96, 26, 5] Generated Node #2: [96, 26, 5] from Operation: 61-56=5 Current State: 14:[96, 26, 5], Operations: ['61-56=5'] Exploring Operation: 96-26=70, Resulting Numbers: [5, 70] Generated Node #3: [5, 70] from Operation: 96-26=70 Current State: 14:[5, 70], Operations: ['61-56=5', '96-26=70'] Exploring Operation: 70/5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 4, 65, 58, 9 ]
27
[ "65-4=61", "61-58=3", "9*3=27" ]
Current State: 27:[4, 65, 58, 9], Operations: [] Exploring Operation: 65-4=61, Resulting Numbers: [58, 9, 61] Generated Node #2: [58, 9, 61] from Operation: 65-4=61 Current State: 27:[58, 9, 61], Operations: ['65-4=61'] Exploring Operation: 61-58=3, Resulting Numbers: [9, 3] Generated Node #3: [9, 3] from Operation: 61-58=3 Current State: 27:[9, 3], Operations: ['65-4=61', '61-58=3'] Exploring Operation: 9*3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 30, 42, 18, 10 ]
32
[ "30/10=3", "42/3=14", "18+14=32" ]
Current State: 32:[30, 42, 18, 10], Operations: [] Exploring Operation: 30/10=3, Resulting Numbers: [42, 18, 3] Generated Node #2: [42, 18, 3] from Operation: 30/10=3 Current State: 32:[42, 18, 3], Operations: ['30/10=3'] Exploring Operation: 42/3=14, Resulting Numbers: [18, 14] Generated Node #3: [18, 14] from Operation: 42/3=14 Current State: 32:[18, 14], Operations: ['30/10=3', '42/3=14'] Exploring Operation: 18+14=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 27, 12, 71, 76 ]
75
[ "27-12=15", "76-71=5", "15*5=75" ]
Current State: 75:[27, 12, 71, 76], Operations: [] Exploring Operation: 27-12=15, Resulting Numbers: [71, 76, 15] Generated Node #2: [71, 76, 15] from Operation: 27-12=15 Current State: 75:[71, 76, 15], Operations: ['27-12=15'] Exploring Operation: 76-71=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 76-71=5 Current State: 75:[15, 5], Operations: ['27-12=15', '76-71=5'] Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 16, 1, 44, 9 ]
100
[ "16*1=16", "9*16=144", "144-44=100" ]
Current State: 100:[16, 1, 44, 9], Operations: [] Exploring Operation: 16*1=16, Resulting Numbers: [44, 9, 16] Generated Node #2: [44, 9, 16] from Operation: 16*1=16 Current State: 100:[44, 9, 16], Operations: ['16*1=16'] Exploring Operation: 9*16=144, Resulting Numbers: [44, 144] Generated Node #3: [44, 144] from Operation: 9*16=144 Current State: 100:[44, 144], Operations: ['16*1=16', '9*16=144'] Exploring Operation: 144-44=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 3, 61, 19, 34 ]
30
[ "3*19=57", "61-34=27", "57-27=30" ]
Current State: 30:[3, 61, 19, 34], Operations: [] Exploring Operation: 3*19=57, Resulting Numbers: [61, 34, 57] Generated Node #2: [61, 34, 57] from Operation: 3*19=57 Current State: 30:[61, 34, 57], Operations: ['3*19=57'] Exploring Operation: 61-34=27, Resulting Numbers: [57, 27] Generated Node #3: [57, 27] from Operation: 61-34=27 Current State: 30:[57, 27], Operations: ['3*19=57', '61-34=27'] Exploring Operation: 57-27=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 7, 72, 46, 64 ]
26
[ "72+46=118", "64+118=182", "182/7=26" ]
Current State: 26:[7, 72, 46, 64], Operations: [] Exploring Operation: 72+46=118, Resulting Numbers: [7, 64, 118] Generated Node #2: [7, 64, 118] from Operation: 72+46=118 Current State: 26:[7, 64, 118], Operations: ['72+46=118'] Exploring Operation: 64+118=182, Resulting Numbers: [7, 182] Generated Node #3: [7, 182] from Operation: 64+118=182 Current State: 26:[7, 182], Operations: ['72+46=118', '64+118=182'] Exploring Operation: 182/7=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 43, 1, 96, 96 ]
42
[ "43*1=43", "96/96=1", "43-1=42" ]
Current State: 42:[43, 1, 96, 96], Operations: [] Exploring Operation: 43*1=43, Resulting Numbers: [96, 96, 43] Generated Node #2: [96, 96, 43] from Operation: 43*1=43 Current State: 42:[96, 96, 43], Operations: ['43*1=43'] Exploring Operation: 96/96=1, Resulting Numbers: [43, 1] Generated Node #3: [43, 1] from Operation: 96/96=1 Current State: 42:[43, 1], Operations: ['43*1=43', '96/96=1'] Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 26, 19, 42, 84 ]
63
[ "19*84=1596", "42+1596=1638", "1638/26=63" ]
Current State: 63:[26, 19, 42, 84], Operations: [] Exploring Operation: 19*84=1596, Resulting Numbers: [26, 42, 1596] Generated Node #2: [26, 42, 1596] from Operation: 19*84=1596 Current State: 63:[26, 42, 1596], Operations: ['19*84=1596'] Exploring Operation: 42+1596=1638, Resulting Numbers: [26, 1638] Generated Node #3: [26, 1638] from Operation: 42+1596=1638 Current State: 63:[26, 1638], Operations: ['19*84=1596', '42+1596=1638'] Exploring Operation: 1638/26=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 33, 16, 18, 30 ]
29
[ "33-16=17", "30-18=12", "17+12=29" ]
Current State: 29:[33, 16, 18, 30], Operations: [] Exploring Operation: 33-16=17, Resulting Numbers: [18, 30, 17] Generated Node #2: [18, 30, 17] from Operation: 33-16=17 Current State: 29:[18, 30, 17], Operations: ['33-16=17'] Exploring Operation: 30-18=12, Resulting Numbers: [17, 12] Generated Node #3: [17, 12] from Operation: 30-18=12 Current State: 29:[17, 12], Operations: ['33-16=17', '30-18=12'] Exploring Operation: 17+12=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 54, 27, 47, 34 ]
79
[ "54/27=2", "47+34=81", "81-2=79" ]
Current State: 79:[54, 27, 47, 34], Operations: [] Exploring Operation: 54/27=2, Resulting Numbers: [47, 34, 2] Generated Node #2: [47, 34, 2] from Operation: 54/27=2 Current State: 79:[47, 34, 2], Operations: ['54/27=2'] Exploring Operation: 47+34=81, Resulting Numbers: [2, 81] Generated Node #3: [2, 81] from Operation: 47+34=81 Current State: 79:[2, 81], Operations: ['54/27=2', '47+34=81'] Exploring Operation: 81-2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4