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
[ 62, 73, 85, 55 ]
90
[ "73-62=11", "55/11=5", "85+5=90" ]
Current State: 90:[62, 73, 85, 55], Operations: [] Exploring Operation: 73-62=11, Resulting Numbers: [85, 55, 11] Generated Node #2: [85, 55, 11] from Operation: 73-62=11 Current State: 90:[85, 55, 11], Operations: ['73-62=11'] Exploring Operation: 55/11=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 55/11=5 Current State: 90:[85, 5], Operations: ['73-62=11', '55/11=5'] Exploring Operation: 85+5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 72, 92, 70, 8 ]
42
[ "92-72=20", "70-8=62", "62-20=42" ]
Current State: 42:[72, 92, 70, 8], Operations: [] Exploring Operation: 92-72=20, Resulting Numbers: [70, 8, 20] Generated Node #2: [70, 8, 20] from Operation: 92-72=20 Current State: 42:[70, 8, 20], Operations: ['92-72=20'] Exploring Operation: 70-8=62, Resulting Numbers: [20, 62] Generated Node #3: [20, 62] from Operation: 70-8=62 Current State: 42:[20, 62], Operations: ['92-72=20', '70-8=62'] Exploring Operation: 62-20=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 8, 30, 7, 45 ]
76
[ "8+30=38", "45-7=38", "38+38=76" ]
Current State: 76:[8, 30, 7, 45], Operations: [] Exploring Operation: 8+30=38, Resulting Numbers: [7, 45, 38] Generated Node #2: [7, 45, 38] from Operation: 8+30=38 Current State: 76:[7, 45, 38], Operations: ['8+30=38'] Exploring Operation: 45-7=38, Resulting Numbers: [38, 38] Generated Node #3: [38, 38] from Operation: 45-7=38 Current State: 76:[38, 38], Operations: ['8+30=38', '45-7=38'] Exploring Operation: 38+38=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 47, 34, 7, 6 ]
25
[ "47+7=54", "54/6=9", "34-9=25" ]
Current State: 25:[47, 34, 7, 6], Operations: [] Exploring Operation: 47+7=54, Resulting Numbers: [34, 6, 54] Generated Node #2: [34, 6, 54] from Operation: 47+7=54 Current State: 25:[34, 6, 54], Operations: ['47+7=54'] Exploring Operation: 54/6=9, Resulting Numbers: [34, 9] Generated Node #3: [34, 9] from Operation: 54/6=9 Current State: 25:[34, 9], Operations: ['47+7=54', '54/6=9'] Exploring Operation: 34-9=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 96, 19, 21, 57 ]
47
[ "19*57=1083", "1083-96=987", "987/21=47" ]
Current State: 47:[96, 19, 21, 57], Operations: [] Exploring Operation: 19*57=1083, Resulting Numbers: [96, 21, 1083] Generated Node #2: [96, 21, 1083] from Operation: 19*57=1083 Current State: 47:[96, 21, 1083], Operations: ['19*57=1083'] Exploring Operation: 1083-96=987, Resulting Numbers: [21, 987] Generated Node #3: [21, 987] from Operation: 1083-96=987 Current State: 47:[21, 987], Operations: ['19*57=1083', '1083-96=987'] Exploring Operation: 987/21=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 28, 84, 88, 18 ]
82
[ "84/28=3", "18/3=6", "88-6=82" ]
Current State: 82:[28, 84, 88, 18], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [88, 18, 3] Generated Node #2: [88, 18, 3] from Operation: 84/28=3 Current State: 82:[88, 18, 3], Operations: ['84/28=3'] Exploring Operation: 18/3=6, Resulting Numbers: [88, 6] Generated Node #3: [88, 6] from Operation: 18/3=6 Current State: 82:[88, 6], Operations: ['84/28=3', '18/3=6'] Exploring Operation: 88-6=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 2, 11, 8, 50 ]
43
[ "8/2=4", "50-11=39", "4+39=43" ]
Current State: 43:[2, 11, 8, 50], Operations: [] Exploring Operation: 8/2=4, Resulting Numbers: [11, 50, 4] Generated Node #2: [11, 50, 4] from Operation: 8/2=4 Current State: 43:[11, 50, 4], Operations: ['8/2=4'] Exploring Operation: 50-11=39, Resulting Numbers: [4, 39] Generated Node #3: [4, 39] from Operation: 50-11=39 Current State: 43:[4, 39], Operations: ['8/2=4', '50-11=39'] Exploring Operation: 4+39=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 46, 99, 58, 69 ]
55
[ "69-58=11", "99/11=9", "46+9=55" ]
Current State: 55:[46, 99, 58, 69], Operations: [] Exploring Operation: 69-58=11, Resulting Numbers: [46, 99, 11] Generated Node #2: [46, 99, 11] from Operation: 69-58=11 Current State: 55:[46, 99, 11], Operations: ['69-58=11'] Exploring Operation: 99/11=9, Resulting Numbers: [46, 9] Generated Node #3: [46, 9] from Operation: 99/11=9 Current State: 55:[46, 9], Operations: ['69-58=11', '99/11=9'] Exploring Operation: 46+9=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 14, 3, 44, 61 ]
94
[ "14-3=11", "44+61=105", "105-11=94" ]
Current State: 94:[14, 3, 44, 61], Operations: [] Exploring Operation: 14-3=11, Resulting Numbers: [44, 61, 11] Generated Node #2: [44, 61, 11] from Operation: 14-3=11 Current State: 94:[44, 61, 11], Operations: ['14-3=11'] Exploring Operation: 44+61=105, Resulting Numbers: [11, 105] Generated Node #3: [11, 105] from Operation: 44+61=105 Current State: 94:[11, 105], Operations: ['14-3=11', '44+61=105'] Exploring Operation: 105-11=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 8, 9, 51, 45 ]
48
[ "8+9=17", "51/17=3", "45+3=48" ]
Current State: 48:[8, 9, 51, 45], Operations: [] Exploring Operation: 8+9=17, Resulting Numbers: [51, 45, 17] Generated Node #2: [51, 45, 17] from Operation: 8+9=17 Current State: 48:[51, 45, 17], Operations: ['8+9=17'] Exploring Operation: 51/17=3, Resulting Numbers: [45, 3] Generated Node #3: [45, 3] from Operation: 51/17=3 Current State: 48:[45, 3], Operations: ['8+9=17', '51/17=3'] Exploring Operation: 45+3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 16, 52, 67, 62 ]
31
[ "52-16=36", "67-62=5", "36-5=31" ]
Current State: 31:[16, 52, 67, 62], Operations: [] Exploring Operation: 52-16=36, Resulting Numbers: [67, 62, 36] Generated Node #2: [67, 62, 36] from Operation: 52-16=36 Current State: 31:[67, 62, 36], Operations: ['52-16=36'] Exploring Operation: 67-62=5, Resulting Numbers: [36, 5] Generated Node #3: [36, 5] from Operation: 67-62=5 Current State: 31:[36, 5], Operations: ['52-16=36', '67-62=5'] Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 57, 32, 89, 8 ]
72
[ "57-32=25", "89+8=97", "97-25=72" ]
Current State: 72:[57, 32, 89, 8], Operations: [] Exploring Operation: 57-32=25, Resulting Numbers: [89, 8, 25] Generated Node #2: [89, 8, 25] from Operation: 57-32=25 Current State: 72:[89, 8, 25], Operations: ['57-32=25'] Exploring Operation: 89+8=97, Resulting Numbers: [25, 97] Generated Node #3: [25, 97] from Operation: 89+8=97 Current State: 72:[25, 97], Operations: ['57-32=25', '89+8=97'] Exploring Operation: 97-25=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 19, 24, 22, 21 ]
10
[ "21-19=2", "24/2=12", "22-12=10" ]
Current State: 10:[19, 24, 22, 21], Operations: [] Exploring Operation: 21-19=2, Resulting Numbers: [24, 22, 2] Generated Node #2: [24, 22, 2] from Operation: 21-19=2 Current State: 10:[24, 22, 2], Operations: ['21-19=2'] Exploring Operation: 24/2=12, Resulting Numbers: [22, 12] Generated Node #3: [22, 12] from Operation: 24/2=12 Current State: 10:[22, 12], Operations: ['21-19=2', '24/2=12'] Exploring Operation: 22-12=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 60, 62, 31, 4 ]
37
[ "62-60=2", "31+4=35", "2+35=37" ]
Current State: 37:[60, 62, 31, 4], Operations: [] Exploring Operation: 62-60=2, Resulting Numbers: [31, 4, 2] Generated Node #2: [31, 4, 2] from Operation: 62-60=2 Current State: 37:[31, 4, 2], Operations: ['62-60=2'] Exploring Operation: 31+4=35, Resulting Numbers: [2, 35] Generated Node #3: [2, 35] from Operation: 31+4=35 Current State: 37:[2, 35], Operations: ['62-60=2', '31+4=35'] Exploring Operation: 2+35=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 76, 92, 81, 78 ]
70
[ "81-76=5", "92-78=14", "5*14=70" ]
Current State: 70:[76, 92, 81, 78], Operations: [] Exploring Operation: 81-76=5, Resulting Numbers: [92, 78, 5] Generated Node #2: [92, 78, 5] from Operation: 81-76=5 Current State: 70:[92, 78, 5], Operations: ['81-76=5'] Exploring Operation: 92-78=14, Resulting Numbers: [5, 14] Generated Node #3: [5, 14] from Operation: 92-78=14 Current State: 70:[5, 14], Operations: ['81-76=5', '92-78=14'] Exploring Operation: 5*14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 25, 65, 3, 65 ]
55
[ "65-25=40", "3*40=120", "120-65=55" ]
Current State: 55:[25, 65, 3, 65], Operations: [] Exploring Operation: 65-25=40, Resulting Numbers: [3, 40] Generated Node #2: [3, 40] from Operation: 65-25=40 Current State: 55:[3, 40], Operations: ['65-25=40'] Exploring Operation: 3*40=120, Resulting Numbers: [120] 120,55 equal: Goal Reached Exploring Operation: 120-65=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 9, 5, 44, 61 ]
67
[ "9*44=396", "396-61=335", "335/5=67" ]
Current State: 67:[9, 5, 44, 61], Operations: [] Exploring Operation: 9*44=396, Resulting Numbers: [5, 61, 396] Generated Node #2: [5, 61, 396] from Operation: 9*44=396 Current State: 67:[5, 61, 396], Operations: ['9*44=396'] Exploring Operation: 396-61=335, Resulting Numbers: [5, 335] Generated Node #3: [5, 335] from Operation: 396-61=335 Current State: 67:[5, 335], Operations: ['9*44=396', '396-61=335'] Exploring Operation: 335/5=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 87, 19, 1, 95 ]
26
[ "87-19=68", "95-1=94", "94-68=26" ]
Current State: 26:[87, 19, 1, 95], Operations: [] Exploring Operation: 87-19=68, Resulting Numbers: [1, 95, 68] Generated Node #2: [1, 95, 68] from Operation: 87-19=68 Current State: 26:[1, 95, 68], Operations: ['87-19=68'] Exploring Operation: 95-1=94, Resulting Numbers: [68, 94] Generated Node #3: [68, 94] from Operation: 95-1=94 Current State: 26:[68, 94], Operations: ['87-19=68', '95-1=94'] Exploring Operation: 94-68=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 83, 14, 88, 3 ]
65
[ "83-14=69", "69/3=23", "88-23=65" ]
Current State: 65:[83, 14, 88, 3], Operations: [] Exploring Operation: 83-14=69, Resulting Numbers: [88, 3, 69] Generated Node #2: [88, 3, 69] from Operation: 83-14=69 Current State: 65:[88, 3, 69], Operations: ['83-14=69'] Exploring Operation: 69/3=23, Resulting Numbers: [88, 23] Generated Node #3: [88, 23] from Operation: 69/3=23 Current State: 65:[88, 23], Operations: ['83-14=69', '69/3=23'] Exploring Operation: 88-23=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 68, 42, 42, 54 ]
68
[ "42-42=0", "54*0=0", "68+0=68" ]
Current State: 68:[68, 42, 42, 54], Operations: [] Exploring Operation: 42-42=0, Resulting Numbers: [68, 54, 0] Generated Node #2: [68, 54, 0] from Operation: 42-42=0 Current State: 68:[68, 54, 0], Operations: ['42-42=0'] Exploring Operation: 54*0=0, Resulting Numbers: [68, 0] Generated Node #3: [68, 0] from Operation: 54*0=0 Current State: 68:[68, 0], Operations: ['42-42=0', '54*0=0'] Exploring Operation: 68+0=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 76, 70, 5, 11 ]
51
[ "76-11=65", "70/5=14", "65-14=51" ]
Current State: 51:[76, 70, 5, 11], Operations: [] Exploring Operation: 76-11=65, Resulting Numbers: [70, 5, 65] Generated Node #2: [70, 5, 65] from Operation: 76-11=65 Current State: 51:[70, 5, 65], Operations: ['76-11=65'] Exploring Operation: 70/5=14, Resulting Numbers: [65, 14] Generated Node #3: [65, 14] from Operation: 70/5=14 Current State: 51:[65, 14], Operations: ['76-11=65', '70/5=14'] Exploring Operation: 65-14=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 45, 96, 23, 50 ]
24
[ "96-45=51", "50-23=27", "51-27=24" ]
Current State: 24:[45, 96, 23, 50], Operations: [] Exploring Operation: 96-45=51, Resulting Numbers: [23, 50, 51] Generated Node #2: [23, 50, 51] from Operation: 96-45=51 Current State: 24:[23, 50, 51], Operations: ['96-45=51'] Exploring Operation: 50-23=27, Resulting Numbers: [51, 27] Generated Node #3: [51, 27] from Operation: 50-23=27 Current State: 24:[51, 27], Operations: ['96-45=51', '50-23=27'] Exploring Operation: 51-27=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 75, 26, 29, 31 ]
51
[ "75-26=49", "31-29=2", "49+2=51" ]
Current State: 51:[75, 26, 29, 31], Operations: [] Exploring Operation: 75-26=49, Resulting Numbers: [29, 31, 49] Generated Node #2: [29, 31, 49] from Operation: 75-26=49 Current State: 51:[29, 31, 49], Operations: ['75-26=49'] Exploring Operation: 31-29=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 31-29=2 Current State: 51:[49, 2], Operations: ['75-26=49', '31-29=2'] Exploring Operation: 49+2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 48, 50, 24, 32 ]
64
[ "48*24=1152", "50-32=18", "1152/18=64" ]
Current State: 64:[48, 50, 24, 32], Operations: [] Exploring Operation: 48*24=1152, Resulting Numbers: [50, 32, 1152] Generated Node #2: [50, 32, 1152] from Operation: 48*24=1152 Current State: 64:[50, 32, 1152], Operations: ['48*24=1152'] Exploring Operation: 50-32=18, Resulting Numbers: [1152, 18] Generated Node #3: [1152, 18] from Operation: 50-32=18 Current State: 64:[1152, 18], Operations: ['48*24=1152', '50-32=18'] Exploring Operation: 1152/18=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 30, 47, 40, 33 ]
32
[ "47+33=80", "80/40=2", "30+2=32" ]
Current State: 32:[30, 47, 40, 33], Operations: [] Exploring Operation: 47+33=80, Resulting Numbers: [30, 40, 80] Generated Node #2: [30, 40, 80] from Operation: 47+33=80 Current State: 32:[30, 40, 80], Operations: ['47+33=80'] Exploring Operation: 80/40=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 80/40=2 Current State: 32:[30, 2], Operations: ['47+33=80', '80/40=2'] Exploring Operation: 30+2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 89, 6, 5, 31 ]
88
[ "89-31=58", "6*5=30", "58+30=88" ]
Current State: 88:[89, 6, 5, 31], Operations: [] Exploring Operation: 89-31=58, Resulting Numbers: [6, 5, 58] Generated Node #2: [6, 5, 58] from Operation: 89-31=58 Current State: 88:[6, 5, 58], Operations: ['89-31=58'] Exploring Operation: 6*5=30, Resulting Numbers: [58, 30] Generated Node #3: [58, 30] from Operation: 6*5=30 Current State: 88:[58, 30], Operations: ['89-31=58', '6*5=30'] Exploring Operation: 58+30=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 60, 32, 51, 97 ]
44
[ "60*51=3060", "32*97=3104", "3104-3060=44" ]
Current State: 44:[60, 32, 51, 97], Operations: [] Exploring Operation: 60*51=3060, Resulting Numbers: [32, 97, 3060] Generated Node #2: [32, 97, 3060] from Operation: 60*51=3060 Current State: 44:[32, 97, 3060], Operations: ['60*51=3060'] Exploring Operation: 32*97=3104, Resulting Numbers: [3060, 3104] Generated Node #3: [3060, 3104] from Operation: 32*97=3104 Current State: 44:[3060, 3104], Operations: ['60*51=3060', '32*97=3104'] Exploring Operation: 3104-3060=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 85, 66, 60, 64 ]
50
[ "85-60=25", "66-64=2", "25*2=50" ]
Current State: 50:[85, 66, 60, 64], Operations: [] Exploring Operation: 85-60=25, Resulting Numbers: [66, 64, 25] Generated Node #2: [66, 64, 25] from Operation: 85-60=25 Current State: 50:[66, 64, 25], Operations: ['85-60=25'] Exploring Operation: 66-64=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 66-64=2 Current State: 50:[25, 2], Operations: ['85-60=25', '66-64=2'] Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 56, 24, 30, 38 ]
72
[ "56+24=80", "38-30=8", "80-8=72" ]
Current State: 72:[56, 24, 30, 38], Operations: [] Exploring Operation: 56+24=80, Resulting Numbers: [30, 38, 80] Generated Node #2: [30, 38, 80] from Operation: 56+24=80 Current State: 72:[30, 38, 80], Operations: ['56+24=80'] Exploring Operation: 38-30=8, Resulting Numbers: [80, 8] Generated Node #3: [80, 8] from Operation: 38-30=8 Current State: 72:[80, 8], Operations: ['56+24=80', '38-30=8'] Exploring Operation: 80-8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 15, 44, 40, 42 ]
57
[ "15+44=59", "42-40=2", "59-2=57" ]
Current State: 57:[15, 44, 40, 42], Operations: [] Exploring Operation: 15+44=59, Resulting Numbers: [40, 42, 59] Generated Node #2: [40, 42, 59] from Operation: 15+44=59 Current State: 57:[40, 42, 59], Operations: ['15+44=59'] Exploring Operation: 42-40=2, Resulting Numbers: [59, 2] Generated Node #3: [59, 2] from Operation: 42-40=2 Current State: 57:[59, 2], Operations: ['15+44=59', '42-40=2'] Exploring Operation: 59-2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 43, 52, 19, 86 ]
85
[ "52-43=9", "19*9=171", "171-86=85" ]
Current State: 85:[43, 52, 19, 86], Operations: [] Exploring Operation: 52-43=9, Resulting Numbers: [19, 86, 9] Generated Node #2: [19, 86, 9] from Operation: 52-43=9 Current State: 85:[19, 86, 9], Operations: ['52-43=9'] Exploring Operation: 19*9=171, Resulting Numbers: [86, 171] Generated Node #3: [86, 171] from Operation: 19*9=171 Current State: 85:[86, 171], Operations: ['52-43=9', '19*9=171'] Exploring Operation: 171-86=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 91, 91, 21, 3 ]
84
[ "91/91=1", "3+1=4", "21*4=84" ]
Current State: 84:[91, 91, 21, 3], Operations: [] Exploring Operation: 91/91=1, Resulting Numbers: [21, 3, 1] Generated Node #2: [21, 3, 1] from Operation: 91/91=1 Current State: 84:[21, 3, 1], Operations: ['91/91=1'] Exploring Operation: 3+1=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 3+1=4 Current State: 84:[21, 4], Operations: ['91/91=1', '3+1=4'] Exploring Operation: 21*4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 2, 52, 30, 5 ]
25
[ "52-2=50", "30-5=25", "50-25=25" ]
Current State: 25:[2, 52, 30, 5], Operations: [] Exploring Operation: 52-2=50, Resulting Numbers: [30, 5, 50] Generated Node #2: [30, 5, 50] from Operation: 52-2=50 Current State: 25:[30, 5, 50], Operations: ['52-2=50'] Exploring Operation: 30-5=25, Resulting Numbers: [50, 25] Generated Node #3: [50, 25] from Operation: 30-5=25 Current State: 25:[50, 25], Operations: ['52-2=50', '30-5=25'] Exploring Operation: 50-25=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 8, 58, 11, 23 ]
100
[ "8+58=66", "11+23=34", "66+34=100" ]
Current State: 100:[8, 58, 11, 23], Operations: [] Exploring Operation: 8+58=66, Resulting Numbers: [11, 23, 66] Generated Node #2: [11, 23, 66] from Operation: 8+58=66 Current State: 100:[11, 23, 66], Operations: ['8+58=66'] Exploring Operation: 11+23=34, Resulting Numbers: [66, 34] Generated Node #3: [66, 34] from Operation: 11+23=34 Current State: 100:[66, 34], Operations: ['8+58=66', '11+23=34'] Exploring Operation: 66+34=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 21, 52, 49, 72 ]
65
[ "52-49=3", "21/3=7", "72-7=65" ]
Current State: 65:[21, 52, 49, 72], Operations: [] Exploring Operation: 52-49=3, Resulting Numbers: [21, 72, 3] Generated Node #2: [21, 72, 3] from Operation: 52-49=3 Current State: 65:[21, 72, 3], Operations: ['52-49=3'] Exploring Operation: 21/3=7, Resulting Numbers: [72, 7] Generated Node #3: [72, 7] from Operation: 21/3=7 Current State: 65:[72, 7], Operations: ['52-49=3', '21/3=7'] Exploring Operation: 72-7=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 26, 75, 73, 2 ]
15
[ "26/2=13", "75-73=2", "13+2=15" ]
Current State: 15:[26, 75, 73, 2], Operations: [] Exploring Operation: 26/2=13, Resulting Numbers: [75, 73, 13] Generated Node #2: [75, 73, 13] from Operation: 26/2=13 Current State: 15:[75, 73, 13], Operations: ['26/2=13'] Exploring Operation: 75-73=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 75-73=2 Current State: 15:[13, 2], Operations: ['26/2=13', '75-73=2'] Exploring Operation: 13+2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 28, 23, 77, 43 ]
49
[ "28*43=1204", "1204-77=1127", "1127/23=49" ]
Current State: 49:[28, 23, 77, 43], Operations: [] Exploring Operation: 28*43=1204, Resulting Numbers: [23, 77, 1204] Generated Node #2: [23, 77, 1204] from Operation: 28*43=1204 Current State: 49:[23, 77, 1204], Operations: ['28*43=1204'] Exploring Operation: 1204-77=1127, Resulting Numbers: [23, 1127] Generated Node #3: [23, 1127] from Operation: 1204-77=1127 Current State: 49:[23, 1127], Operations: ['28*43=1204', '1204-77=1127'] Exploring Operation: 1127/23=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 85, 24, 36, 90 ]
10
[ "85*36=3060", "3060/90=34", "34-24=10" ]
Current State: 10:[85, 24, 36, 90], Operations: [] Exploring Operation: 85*36=3060, Resulting Numbers: [24, 90, 3060] Generated Node #2: [24, 90, 3060] from Operation: 85*36=3060 Current State: 10:[24, 90, 3060], Operations: ['85*36=3060'] Exploring Operation: 3060/90=34, Resulting Numbers: [24, 34] Generated Node #3: [24, 34] from Operation: 3060/90=34 Current State: 10:[24, 34], Operations: ['85*36=3060', '3060/90=34'] Exploring Operation: 34-24=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 78, 93, 23, 80 ]
72
[ "93-78=15", "80-23=57", "15+57=72" ]
Current State: 72:[78, 93, 23, 80], Operations: [] Exploring Operation: 93-78=15, Resulting Numbers: [23, 80, 15] Generated Node #2: [23, 80, 15] from Operation: 93-78=15 Current State: 72:[23, 80, 15], Operations: ['93-78=15'] Exploring Operation: 80-23=57, Resulting Numbers: [15, 57] Generated Node #3: [15, 57] from Operation: 80-23=57 Current State: 72:[15, 57], Operations: ['93-78=15', '80-23=57'] Exploring Operation: 15+57=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 30, 10, 57, 8 ]
69
[ "30-10=20", "57-8=49", "20+49=69" ]
Current State: 69:[30, 10, 57, 8], Operations: [] Exploring Operation: 30-10=20, Resulting Numbers: [57, 8, 20] Generated Node #2: [57, 8, 20] from Operation: 30-10=20 Current State: 69:[57, 8, 20], Operations: ['30-10=20'] Exploring Operation: 57-8=49, Resulting Numbers: [20, 49] Generated Node #3: [20, 49] from Operation: 57-8=49 Current State: 69:[20, 49], Operations: ['30-10=20', '57-8=49'] Exploring Operation: 20+49=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 70, 22, 10, 73 ]
88
[ "70/10=7", "22+73=95", "95-7=88" ]
Current State: 88:[70, 22, 10, 73], Operations: [] Exploring Operation: 70/10=7, Resulting Numbers: [22, 73, 7] Generated Node #2: [22, 73, 7] from Operation: 70/10=7 Current State: 88:[22, 73, 7], Operations: ['70/10=7'] Exploring Operation: 22+73=95, Resulting Numbers: [7, 95] Generated Node #3: [7, 95] from Operation: 22+73=95 Current State: 88:[7, 95], Operations: ['70/10=7', '22+73=95'] Exploring Operation: 95-7=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 76, 6, 16, 19 ]
67
[ "76-6=70", "19-16=3", "70-3=67" ]
Current State: 67:[76, 6, 16, 19], Operations: [] Exploring Operation: 76-6=70, Resulting Numbers: [16, 19, 70] Generated Node #2: [16, 19, 70] from Operation: 76-6=70 Current State: 67:[16, 19, 70], Operations: ['76-6=70'] Exploring Operation: 19-16=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 19-16=3 Current State: 67:[70, 3], Operations: ['76-6=70', '19-16=3'] Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 74, 88, 69, 25 ]
37
[ "74-69=5", "25*5=125", "125-88=37" ]
Current State: 37:[74, 88, 69, 25], Operations: [] Exploring Operation: 74-69=5, Resulting Numbers: [88, 25, 5] Generated Node #2: [88, 25, 5] from Operation: 74-69=5 Current State: 37:[88, 25, 5], Operations: ['74-69=5'] Exploring Operation: 25*5=125, Resulting Numbers: [88, 125] Generated Node #3: [88, 125] from Operation: 25*5=125 Current State: 37:[88, 125], Operations: ['74-69=5', '25*5=125'] Exploring Operation: 125-88=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 4, 15, 49, 88 ]
96
[ "15+49=64", "88-64=24", "4*24=96" ]
Current State: 96:[4, 15, 49, 88], Operations: [] Exploring Operation: 15+49=64, Resulting Numbers: [4, 88, 64] Generated Node #2: [4, 88, 64] from Operation: 15+49=64 Current State: 96:[4, 88, 64], Operations: ['15+49=64'] Exploring Operation: 88-64=24, Resulting Numbers: [4, 24] Generated Node #3: [4, 24] from Operation: 88-64=24 Current State: 96:[4, 24], Operations: ['15+49=64', '88-64=24'] Exploring Operation: 4*24=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 33, 72, 91, 37 ]
23
[ "33+72=105", "91+37=128", "128-105=23" ]
Current State: 23:[33, 72, 91, 37], Operations: [] Exploring Operation: 33+72=105, Resulting Numbers: [91, 37, 105] Generated Node #2: [91, 37, 105] from Operation: 33+72=105 Current State: 23:[91, 37, 105], Operations: ['33+72=105'] Exploring Operation: 91+37=128, Resulting Numbers: [105, 128] Generated Node #3: [105, 128] from Operation: 91+37=128 Current State: 23:[105, 128], Operations: ['33+72=105', '91+37=128'] Exploring Operation: 128-105=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 6, 55, 53, 99 ]
91
[ "6+55=61", "53+99=152", "152-61=91" ]
Current State: 91:[6, 55, 53, 99], Operations: [] Exploring Operation: 6+55=61, Resulting Numbers: [53, 99, 61] Generated Node #2: [53, 99, 61] from Operation: 6+55=61 Current State: 91:[53, 99, 61], Operations: ['6+55=61'] Exploring Operation: 53+99=152, Resulting Numbers: [61, 152] Generated Node #3: [61, 152] from Operation: 53+99=152 Current State: 91:[61, 152], Operations: ['6+55=61', '53+99=152'] Exploring Operation: 152-61=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 16, 28, 1, 47 ]
58
[ "28-16=12", "47-1=46", "12+46=58" ]
Current State: 58:[16, 28, 1, 47], Operations: [] Exploring Operation: 28-16=12, Resulting Numbers: [1, 47, 12] Generated Node #2: [1, 47, 12] from Operation: 28-16=12 Current State: 58:[1, 47, 12], Operations: ['28-16=12'] Exploring Operation: 47-1=46, Resulting Numbers: [12, 46] Generated Node #3: [12, 46] from Operation: 47-1=46 Current State: 58:[12, 46], Operations: ['28-16=12', '47-1=46'] Exploring Operation: 12+46=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 11, 37, 41, 40 ]
21
[ "41-37=4", "40/4=10", "11+10=21" ]
Current State: 21:[11, 37, 41, 40], Operations: [] Exploring Operation: 41-37=4, Resulting Numbers: [11, 40, 4] Generated Node #2: [11, 40, 4] from Operation: 41-37=4 Current State: 21:[11, 40, 4], Operations: ['41-37=4'] Exploring Operation: 40/4=10, Resulting Numbers: [11, 10] Generated Node #3: [11, 10] from Operation: 40/4=10 Current State: 21:[11, 10], Operations: ['41-37=4', '40/4=10'] Exploring Operation: 11+10=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 22, 55, 10, 43 ]
98
[ "55-43=12", "10*12=120", "120-22=98" ]
Current State: 98:[22, 55, 10, 43], Operations: [] Exploring Operation: 55-43=12, Resulting Numbers: [22, 10, 12] Generated Node #2: [22, 10, 12] from Operation: 55-43=12 Current State: 98:[22, 10, 12], Operations: ['55-43=12'] Exploring Operation: 10*12=120, Resulting Numbers: [22, 120] Generated Node #3: [22, 120] from Operation: 10*12=120 Current State: 98:[22, 120], Operations: ['55-43=12', '10*12=120'] Exploring Operation: 120-22=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 96, 71, 4, 66 ]
20
[ "96+4=100", "71-66=5", "100/5=20" ]
Current State: 20:[96, 71, 4, 66], Operations: [] Exploring Operation: 96+4=100, Resulting Numbers: [71, 66, 100] Generated Node #2: [71, 66, 100] from Operation: 96+4=100 Current State: 20:[71, 66, 100], Operations: ['96+4=100'] Exploring Operation: 71-66=5, Resulting Numbers: [100, 5] Generated Node #3: [100, 5] from Operation: 71-66=5 Current State: 20:[100, 5], Operations: ['96+4=100', '71-66=5'] Exploring Operation: 100/5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 28, 3, 95, 29 ]
97
[ "28+3=31", "95-29=66", "31+66=97" ]
Current State: 97:[28, 3, 95, 29], Operations: [] Exploring Operation: 28+3=31, Resulting Numbers: [95, 29, 31] Generated Node #2: [95, 29, 31] from Operation: 28+3=31 Current State: 97:[95, 29, 31], Operations: ['28+3=31'] Exploring Operation: 95-29=66, Resulting Numbers: [31, 66] Generated Node #3: [31, 66] from Operation: 95-29=66 Current State: 97:[31, 66], Operations: ['28+3=31', '95-29=66'] Exploring Operation: 31+66=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 68, 24, 78, 47 ]
26
[ "68-24=44", "47-44=3", "78/3=26" ]
Current State: 26:[68, 24, 78, 47], Operations: [] Exploring Operation: 68-24=44, Resulting Numbers: [78, 47, 44] Generated Node #2: [78, 47, 44] from Operation: 68-24=44 Current State: 26:[78, 47, 44], Operations: ['68-24=44'] Exploring Operation: 47-44=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 47-44=3 Current State: 26:[78, 3], Operations: ['68-24=44', '47-44=3'] Exploring Operation: 78/3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 79, 70, 24, 43 ]
28
[ "79-70=9", "43-24=19", "9+19=28" ]
Current State: 28:[79, 70, 24, 43], Operations: [] Exploring Operation: 79-70=9, Resulting Numbers: [24, 43, 9] Generated Node #2: [24, 43, 9] from Operation: 79-70=9 Current State: 28:[24, 43, 9], Operations: ['79-70=9'] Exploring Operation: 43-24=19, Resulting Numbers: [9, 19] Generated Node #3: [9, 19] from Operation: 43-24=19 Current State: 28:[9, 19], Operations: ['79-70=9', '43-24=19'] Exploring Operation: 9+19=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 1, 47, 37, 3 ]
81
[ "1*47=47", "37-3=34", "47+34=81" ]
Current State: 81:[1, 47, 37, 3], Operations: [] Exploring Operation: 1*47=47, Resulting Numbers: [37, 3, 47] Generated Node #2: [37, 3, 47] from Operation: 1*47=47 Current State: 81:[37, 3, 47], Operations: ['1*47=47'] Exploring Operation: 37-3=34, Resulting Numbers: [47, 34] Generated Node #3: [47, 34] from Operation: 37-3=34 Current State: 81:[47, 34], Operations: ['1*47=47', '37-3=34'] Exploring Operation: 47+34=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 70, 29, 74, 85 ]
14
[ "74-70=4", "85-29=56", "56/4=14" ]
Current State: 14:[70, 29, 74, 85], Operations: [] Exploring Operation: 74-70=4, Resulting Numbers: [29, 85, 4] Generated Node #2: [29, 85, 4] from Operation: 74-70=4 Current State: 14:[29, 85, 4], Operations: ['74-70=4'] Exploring Operation: 85-29=56, Resulting Numbers: [4, 56] Generated Node #3: [4, 56] from Operation: 85-29=56 Current State: 14:[4, 56], Operations: ['74-70=4', '85-29=56'] Exploring Operation: 56/4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 97, 13, 81, 2 ]
45
[ "97-81=16", "2*16=32", "13+32=45" ]
Current State: 45:[97, 13, 81, 2], Operations: [] Exploring Operation: 97-81=16, Resulting Numbers: [13, 2, 16] Generated Node #2: [13, 2, 16] from Operation: 97-81=16 Current State: 45:[13, 2, 16], Operations: ['97-81=16'] Exploring Operation: 2*16=32, Resulting Numbers: [13, 32] Generated Node #3: [13, 32] from Operation: 2*16=32 Current State: 45:[13, 32], Operations: ['97-81=16', '2*16=32'] Exploring Operation: 13+32=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 68, 62, 20, 50 ]
15
[ "68-62=6", "50*6=300", "300/20=15" ]
Current State: 15:[68, 62, 20, 50], Operations: [] Exploring Operation: 68-62=6, Resulting Numbers: [20, 50, 6] Generated Node #2: [20, 50, 6] from Operation: 68-62=6 Current State: 15:[20, 50, 6], Operations: ['68-62=6'] Exploring Operation: 50*6=300, Resulting Numbers: [20, 300] Generated Node #3: [20, 300] from Operation: 50*6=300 Current State: 15:[20, 300], Operations: ['68-62=6', '50*6=300'] Exploring Operation: 300/20=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 44, 51, 63, 8 ]
48
[ "51-44=7", "63-8=55", "55-7=48" ]
Current State: 48:[44, 51, 63, 8], Operations: [] Exploring Operation: 51-44=7, Resulting Numbers: [63, 8, 7] Generated Node #2: [63, 8, 7] from Operation: 51-44=7 Current State: 48:[63, 8, 7], Operations: ['51-44=7'] Exploring Operation: 63-8=55, Resulting Numbers: [7, 55] Generated Node #3: [7, 55] from Operation: 63-8=55 Current State: 48:[7, 55], Operations: ['51-44=7', '63-8=55'] Exploring Operation: 55-7=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 64, 81, 67, 56 ]
28
[ "81-64=17", "67-56=11", "17+11=28" ]
Current State: 28:[64, 81, 67, 56], Operations: [] Exploring Operation: 81-64=17, Resulting Numbers: [67, 56, 17] Generated Node #2: [67, 56, 17] from Operation: 81-64=17 Current State: 28:[67, 56, 17], Operations: ['81-64=17'] Exploring Operation: 67-56=11, Resulting Numbers: [17, 11] Generated Node #3: [17, 11] from Operation: 67-56=11 Current State: 28:[17, 11], Operations: ['81-64=17', '67-56=11'] Exploring Operation: 17+11=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 43, 95, 27, 50 ]
94
[ "50-43=7", "27*7=189", "189-95=94" ]
Current State: 94:[43, 95, 27, 50], Operations: [] Exploring Operation: 50-43=7, Resulting Numbers: [95, 27, 7] Generated Node #2: [95, 27, 7] from Operation: 50-43=7 Current State: 94:[95, 27, 7], Operations: ['50-43=7'] Exploring Operation: 27*7=189, Resulting Numbers: [95, 189] Generated Node #3: [95, 189] from Operation: 27*7=189 Current State: 94:[95, 189], Operations: ['50-43=7', '27*7=189'] Exploring Operation: 189-95=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 84, 53, 20, 83 ]
94
[ "84-53=31", "83-20=63", "31+63=94" ]
Current State: 94:[84, 53, 20, 83], Operations: [] Exploring Operation: 84-53=31, Resulting Numbers: [20, 83, 31] Generated Node #2: [20, 83, 31] from Operation: 84-53=31 Current State: 94:[20, 83, 31], Operations: ['84-53=31'] Exploring Operation: 83-20=63, Resulting Numbers: [31, 63] Generated Node #3: [31, 63] from Operation: 83-20=63 Current State: 94:[31, 63], Operations: ['84-53=31', '83-20=63'] Exploring Operation: 31+63=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 8, 47, 68, 6 ]
68
[ "8*6=48", "48-47=1", "68*1=68" ]
Current State: 68:[8, 47, 68, 6], Operations: [] Exploring Operation: 8*6=48, Resulting Numbers: [47, 68, 48] Generated Node #2: [47, 68, 48] from Operation: 8*6=48 Current State: 68:[47, 68, 48], Operations: ['8*6=48'] Exploring Operation: 48-47=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 48-47=1 Current State: 68:[68, 1], Operations: ['8*6=48', '48-47=1'] Exploring Operation: 68*1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 19, 79, 57, 36 ]
77
[ "19+79=98", "57-36=21", "98-21=77" ]
Current State: 77:[19, 79, 57, 36], Operations: [] Exploring Operation: 19+79=98, Resulting Numbers: [57, 36, 98] Generated Node #2: [57, 36, 98] from Operation: 19+79=98 Current State: 77:[57, 36, 98], Operations: ['19+79=98'] Exploring Operation: 57-36=21, Resulting Numbers: [98, 21] Generated Node #3: [98, 21] from Operation: 57-36=21 Current State: 77:[98, 21], Operations: ['19+79=98', '57-36=21'] Exploring Operation: 98-21=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 49, 18, 4, 45 ]
28
[ "49+18=67", "45+67=112", "112/4=28" ]
Current State: 28:[49, 18, 4, 45], Operations: [] Exploring Operation: 49+18=67, Resulting Numbers: [4, 45, 67] Generated Node #2: [4, 45, 67] from Operation: 49+18=67 Current State: 28:[4, 45, 67], Operations: ['49+18=67'] Exploring Operation: 45+67=112, Resulting Numbers: [4, 112] Generated Node #3: [4, 112] from Operation: 45+67=112 Current State: 28:[4, 112], Operations: ['49+18=67', '45+67=112'] Exploring Operation: 112/4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 98, 98, 48, 41 ]
28
[ "98+98=196", "48-41=7", "196/7=28" ]
Current State: 28:[98, 98, 48, 41], Operations: [] Exploring Operation: 98+98=196, Resulting Numbers: [48, 41, 196] Generated Node #2: [48, 41, 196] from Operation: 98+98=196 Current State: 28:[48, 41, 196], Operations: ['98+98=196'] Exploring Operation: 48-41=7, Resulting Numbers: [196, 7] Generated Node #3: [196, 7] from Operation: 48-41=7 Current State: 28:[196, 7], Operations: ['98+98=196', '48-41=7'] Exploring Operation: 196/7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 46, 35, 72, 78 ]
87
[ "46+35=81", "78-72=6", "81+6=87" ]
Current State: 87:[46, 35, 72, 78], Operations: [] Exploring Operation: 46+35=81, Resulting Numbers: [72, 78, 81] Generated Node #2: [72, 78, 81] from Operation: 46+35=81 Current State: 87:[72, 78, 81], Operations: ['46+35=81'] Exploring Operation: 78-72=6, Resulting Numbers: [81, 6] Generated Node #3: [81, 6] from Operation: 78-72=6 Current State: 87:[81, 6], Operations: ['46+35=81', '78-72=6'] Exploring Operation: 81+6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 2, 38, 82, 8 ]
14
[ "2*38=76", "82+8=90", "90-76=14" ]
Current State: 14:[2, 38, 82, 8], Operations: [] Exploring Operation: 2*38=76, Resulting Numbers: [82, 8, 76] Generated Node #2: [82, 8, 76] from Operation: 2*38=76 Current State: 14:[82, 8, 76], Operations: ['2*38=76'] Exploring Operation: 82+8=90, Resulting Numbers: [76, 90] Generated Node #3: [76, 90] from Operation: 82+8=90 Current State: 14:[76, 90], Operations: ['2*38=76', '82+8=90'] Exploring Operation: 90-76=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 35, 34, 21, 7 ]
72
[ "35+34=69", "21/7=3", "69+3=72" ]
Current State: 72:[35, 34, 21, 7], Operations: [] Exploring Operation: 35+34=69, Resulting Numbers: [21, 7, 69] Generated Node #2: [21, 7, 69] from Operation: 35+34=69 Current State: 72:[21, 7, 69], Operations: ['35+34=69'] Exploring Operation: 21/7=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 21/7=3 Current State: 72:[69, 3], Operations: ['35+34=69', '21/7=3'] Exploring Operation: 69+3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 36, 91, 79, 17 ]
65
[ "36+91=127", "79-17=62", "127-62=65" ]
Current State: 65:[36, 91, 79, 17], Operations: [] Exploring Operation: 36+91=127, Resulting Numbers: [79, 17, 127] Generated Node #2: [79, 17, 127] from Operation: 36+91=127 Current State: 65:[79, 17, 127], Operations: ['36+91=127'] Exploring Operation: 79-17=62, Resulting Numbers: [127, 62] Generated Node #3: [127, 62] from Operation: 79-17=62 Current State: 65:[127, 62], Operations: ['36+91=127', '79-17=62'] Exploring Operation: 127-62=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 24, 10, 40, 51 ]
31
[ "51-24=27", "40/10=4", "27+4=31" ]
Current State: 31:[24, 10, 40, 51], Operations: [] Exploring Operation: 51-24=27, Resulting Numbers: [10, 40, 27] Generated Node #2: [10, 40, 27] from Operation: 51-24=27 Current State: 31:[10, 40, 27], Operations: ['51-24=27'] Exploring Operation: 40/10=4, Resulting Numbers: [27, 4] Generated Node #3: [27, 4] from Operation: 40/10=4 Current State: 31:[27, 4], Operations: ['51-24=27', '40/10=4'] Exploring Operation: 27+4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 92, 88, 69, 20 ]
11
[ "92-88=4", "20*4=80", "80-69=11" ]
Current State: 11:[92, 88, 69, 20], Operations: [] Exploring Operation: 92-88=4, Resulting Numbers: [69, 20, 4] Generated Node #2: [69, 20, 4] from Operation: 92-88=4 Current State: 11:[69, 20, 4], Operations: ['92-88=4'] Exploring Operation: 20*4=80, Resulting Numbers: [69, 80] Generated Node #3: [69, 80] from Operation: 20*4=80 Current State: 11:[69, 80], Operations: ['92-88=4', '20*4=80'] Exploring Operation: 80-69=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 65, 23, 5, 58 ]
94
[ "65/5=13", "23+58=81", "13+81=94" ]
Current State: 94:[65, 23, 5, 58], Operations: [] Exploring Operation: 65/5=13, Resulting Numbers: [23, 58, 13] Generated Node #2: [23, 58, 13] from Operation: 65/5=13 Current State: 94:[23, 58, 13], Operations: ['65/5=13'] Exploring Operation: 23+58=81, Resulting Numbers: [13, 81] Generated Node #3: [13, 81] from Operation: 23+58=81 Current State: 94:[13, 81], Operations: ['65/5=13', '23+58=81'] Exploring Operation: 13+81=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 46, 57, 13, 49 ]
96
[ "49-46=3", "13*3=39", "57+39=96" ]
Current State: 96:[46, 57, 13, 49], Operations: [] Exploring Operation: 49-46=3, Resulting Numbers: [57, 13, 3] Generated Node #2: [57, 13, 3] from Operation: 49-46=3 Current State: 96:[57, 13, 3], Operations: ['49-46=3'] Exploring Operation: 13*3=39, Resulting Numbers: [57, 39] Generated Node #3: [57, 39] from Operation: 13*3=39 Current State: 96:[57, 39], Operations: ['49-46=3', '13*3=39'] Exploring Operation: 57+39=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 56, 80, 7, 34 ]
70
[ "80-56=24", "34-24=10", "7*10=70" ]
Current State: 70:[56, 80, 7, 34], Operations: [] Exploring Operation: 80-56=24, Resulting Numbers: [7, 34, 24] Generated Node #2: [7, 34, 24] from Operation: 80-56=24 Current State: 70:[7, 34, 24], Operations: ['80-56=24'] Exploring Operation: 34-24=10, Resulting Numbers: [7, 10] Generated Node #3: [7, 10] from Operation: 34-24=10 Current State: 70:[7, 10], Operations: ['80-56=24', '34-24=10'] Exploring Operation: 7*10=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 93, 37, 37, 92 ]
74
[ "93-92=1", "37+37=74", "1*74=74" ]
Current State: 74:[93, 37, 37, 92], Operations: [] Exploring Operation: 93-92=1, Resulting Numbers: [37, 37, 1] Generated Node #2: [37, 37, 1] from Operation: 93-92=1 Current State: 74:[37, 37, 1], Operations: ['93-92=1'] Exploring Operation: 37+37=74, Resulting Numbers: [1, 74] Generated Node #3: [1, 74] from Operation: 37+37=74 Current State: 74:[1, 74], Operations: ['93-92=1', '37+37=74'] Exploring Operation: 1*74=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 61, 20, 91, 49 ]
83
[ "61-20=41", "91-49=42", "41+42=83" ]
Current State: 83:[61, 20, 91, 49], Operations: [] Exploring Operation: 61-20=41, Resulting Numbers: [91, 49, 41] Generated Node #2: [91, 49, 41] from Operation: 61-20=41 Current State: 83:[91, 49, 41], Operations: ['61-20=41'] Exploring Operation: 91-49=42, Resulting Numbers: [41, 42] Generated Node #3: [41, 42] from Operation: 91-49=42 Current State: 83:[41, 42], Operations: ['61-20=41', '91-49=42'] Exploring Operation: 41+42=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 40, 63, 68, 82 ]
89
[ "40+63=103", "82-68=14", "103-14=89" ]
Current State: 89:[40, 63, 68, 82], Operations: [] Exploring Operation: 40+63=103, Resulting Numbers: [68, 82, 103] Generated Node #2: [68, 82, 103] from Operation: 40+63=103 Current State: 89:[68, 82, 103], Operations: ['40+63=103'] Exploring Operation: 82-68=14, Resulting Numbers: [103, 14] Generated Node #3: [103, 14] from Operation: 82-68=14 Current State: 89:[103, 14], Operations: ['40+63=103', '82-68=14'] Exploring Operation: 103-14=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 38, 60, 57, 28 ]
48
[ "60-28=32", "57*32=1824", "1824/38=48" ]
Current State: 48:[38, 60, 57, 28], Operations: [] Exploring Operation: 60-28=32, Resulting Numbers: [38, 57, 32] Generated Node #2: [38, 57, 32] from Operation: 60-28=32 Current State: 48:[38, 57, 32], Operations: ['60-28=32'] Exploring Operation: 57*32=1824, Resulting Numbers: [38, 1824] Generated Node #3: [38, 1824] from Operation: 57*32=1824 Current State: 48:[38, 1824], Operations: ['60-28=32', '57*32=1824'] Exploring Operation: 1824/38=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 58, 3, 41, 39 ]
46
[ "58+41=99", "39+99=138", "138/3=46" ]
Current State: 46:[58, 3, 41, 39], Operations: [] Exploring Operation: 58+41=99, Resulting Numbers: [3, 39, 99] Generated Node #2: [3, 39, 99] from Operation: 58+41=99 Current State: 46:[3, 39, 99], Operations: ['58+41=99'] Exploring Operation: 39+99=138, Resulting Numbers: [3, 138] Generated Node #3: [3, 138] from Operation: 39+99=138 Current State: 46:[3, 138], Operations: ['58+41=99', '39+99=138'] Exploring Operation: 138/3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 96, 28, 84, 91 ]
92
[ "91-84=7", "28/7=4", "96-4=92" ]
Current State: 92:[96, 28, 84, 91], Operations: [] Exploring Operation: 91-84=7, Resulting Numbers: [96, 28, 7] Generated Node #2: [96, 28, 7] from Operation: 91-84=7 Current State: 92:[96, 28, 7], Operations: ['91-84=7'] Exploring Operation: 28/7=4, Resulting Numbers: [96, 4] Generated Node #3: [96, 4] from Operation: 28/7=4 Current State: 92:[96, 4], Operations: ['91-84=7', '28/7=4'] Exploring Operation: 96-4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 20, 58, 36, 92 ]
50
[ "20+58=78", "36+92=128", "128-78=50" ]
Current State: 50:[20, 58, 36, 92], Operations: [] Exploring Operation: 20+58=78, Resulting Numbers: [36, 92, 78] Generated Node #2: [36, 92, 78] from Operation: 20+58=78 Current State: 50:[36, 92, 78], Operations: ['20+58=78'] Exploring Operation: 36+92=128, Resulting Numbers: [78, 128] Generated Node #3: [78, 128] from Operation: 36+92=128 Current State: 50:[78, 128], Operations: ['20+58=78', '36+92=128'] Exploring Operation: 128-78=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 29, 31, 25, 6 ]
29
[ "29+31=60", "25+6=31", "60-31=29" ]
Current State: 29:[29, 31, 25, 6], Operations: [] Exploring Operation: 29+31=60, Resulting Numbers: [25, 6, 60] Generated Node #2: [25, 6, 60] from Operation: 29+31=60 Current State: 29:[25, 6, 60], Operations: ['29+31=60'] Exploring Operation: 25+6=31, Resulting Numbers: [60, 31] Generated Node #3: [60, 31] from Operation: 25+6=31 Current State: 29:[60, 31], Operations: ['29+31=60', '25+6=31'] Exploring Operation: 60-31=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 76, 18, 1, 36 ]
76
[ "36/18=2", "2-1=1", "76*1=76" ]
Current State: 76:[76, 18, 1, 36], Operations: [] Exploring Operation: 36/18=2, Resulting Numbers: [76, 1, 2] Generated Node #2: [76, 1, 2] from Operation: 36/18=2 Current State: 76:[76, 1, 2], Operations: ['36/18=2'] Exploring Operation: 2-1=1, Resulting Numbers: [76, 1] Generated Node #3: [76, 1] from Operation: 2-1=1 Current State: 76:[76, 1], Operations: ['36/18=2', '2-1=1'] Exploring Operation: 76*1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 87, 65, 97, 8 ]
52
[ "97-87=10", "65*8=520", "520/10=52" ]
Current State: 52:[87, 65, 97, 8], Operations: [] Exploring Operation: 97-87=10, Resulting Numbers: [65, 8, 10] Generated Node #2: [65, 8, 10] from Operation: 97-87=10 Current State: 52:[65, 8, 10], Operations: ['97-87=10'] Exploring Operation: 65*8=520, Resulting Numbers: [10, 520] Generated Node #3: [10, 520] from Operation: 65*8=520 Current State: 52:[10, 520], Operations: ['97-87=10', '65*8=520'] Exploring Operation: 520/10=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 70, 47, 53, 4 ]
60
[ "70+47=117", "53+4=57", "117-57=60" ]
Current State: 60:[70, 47, 53, 4], Operations: [] Exploring Operation: 70+47=117, Resulting Numbers: [53, 4, 117] Generated Node #2: [53, 4, 117] from Operation: 70+47=117 Current State: 60:[53, 4, 117], Operations: ['70+47=117'] Exploring Operation: 53+4=57, Resulting Numbers: [117, 57] Generated Node #3: [117, 57] from Operation: 53+4=57 Current State: 60:[117, 57], Operations: ['70+47=117', '53+4=57'] Exploring Operation: 117-57=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 66, 90, 92, 43 ]
99
[ "92+43=135", "66*135=8910", "8910/90=99" ]
Current State: 99:[66, 90, 92, 43], Operations: [] Exploring Operation: 92+43=135, Resulting Numbers: [66, 90, 135] Generated Node #2: [66, 90, 135] from Operation: 92+43=135 Current State: 99:[66, 90, 135], Operations: ['92+43=135'] Exploring Operation: 66*135=8910, Resulting Numbers: [90, 8910] Generated Node #3: [90, 8910] from Operation: 66*135=8910 Current State: 99:[90, 8910], Operations: ['92+43=135', '66*135=8910'] Exploring Operation: 8910/90=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 29, 13, 45, 56 ]
59
[ "29+13=42", "45+56=101", "101-42=59" ]
Current State: 59:[29, 13, 45, 56], Operations: [] Exploring Operation: 29+13=42, Resulting Numbers: [45, 56, 42] Generated Node #2: [45, 56, 42] from Operation: 29+13=42 Current State: 59:[45, 56, 42], Operations: ['29+13=42'] Exploring Operation: 45+56=101, Resulting Numbers: [42, 101] Generated Node #3: [42, 101] from Operation: 45+56=101 Current State: 59:[42, 101], Operations: ['29+13=42', '45+56=101'] Exploring Operation: 101-42=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 40, 93, 12, 8 ]
37
[ "40+93=133", "12*8=96", "133-96=37" ]
Current State: 37:[40, 93, 12, 8], Operations: [] Exploring Operation: 40+93=133, Resulting Numbers: [12, 8, 133] Generated Node #2: [12, 8, 133] from Operation: 40+93=133 Current State: 37:[12, 8, 133], Operations: ['40+93=133'] Exploring Operation: 12*8=96, Resulting Numbers: [133, 96] Generated Node #3: [133, 96] from Operation: 12*8=96 Current State: 37:[133, 96], Operations: ['40+93=133', '12*8=96'] Exploring Operation: 133-96=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 37, 27, 2, 96 ]
58
[ "37-27=10", "96/2=48", "10+48=58" ]
Current State: 58:[37, 27, 2, 96], Operations: [] Exploring Operation: 37-27=10, Resulting Numbers: [2, 96, 10] Generated Node #2: [2, 96, 10] from Operation: 37-27=10 Current State: 58:[2, 96, 10], Operations: ['37-27=10'] Exploring Operation: 96/2=48, Resulting Numbers: [10, 48] Generated Node #3: [10, 48] from Operation: 96/2=48 Current State: 58:[10, 48], Operations: ['37-27=10', '96/2=48'] Exploring Operation: 10+48=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 91, 56, 97, 87 ]
83
[ "91-87=4", "56/4=14", "97-14=83" ]
Current State: 83:[91, 56, 97, 87], Operations: [] Exploring Operation: 91-87=4, Resulting Numbers: [56, 97, 4] Generated Node #2: [56, 97, 4] from Operation: 91-87=4 Current State: 83:[56, 97, 4], Operations: ['91-87=4'] Exploring Operation: 56/4=14, Resulting Numbers: [97, 14] Generated Node #3: [97, 14] from Operation: 56/4=14 Current State: 83:[97, 14], Operations: ['91-87=4', '56/4=14'] Exploring Operation: 97-14=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 74, 16, 3, 20 ]
98
[ "74*3=222", "16*20=320", "320-222=98" ]
Current State: 98:[74, 16, 3, 20], Operations: [] Exploring Operation: 74*3=222, Resulting Numbers: [16, 20, 222] Generated Node #2: [16, 20, 222] from Operation: 74*3=222 Current State: 98:[16, 20, 222], Operations: ['74*3=222'] Exploring Operation: 16*20=320, Resulting Numbers: [222, 320] Generated Node #3: [222, 320] from Operation: 16*20=320 Current State: 98:[222, 320], Operations: ['74*3=222', '16*20=320'] Exploring Operation: 320-222=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 3, 34, 22, 50 ]
65
[ "3+34=37", "50-22=28", "37+28=65" ]
Current State: 65:[3, 34, 22, 50], Operations: [] Exploring Operation: 3+34=37, Resulting Numbers: [22, 50, 37] Generated Node #2: [22, 50, 37] from Operation: 3+34=37 Current State: 65:[22, 50, 37], Operations: ['3+34=37'] Exploring Operation: 50-22=28, Resulting Numbers: [37, 28] Generated Node #3: [37, 28] from Operation: 50-22=28 Current State: 65:[37, 28], Operations: ['3+34=37', '50-22=28'] Exploring Operation: 37+28=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 31, 64, 14, 57 ]
67
[ "64-57=7", "14*7=98", "98-31=67" ]
Current State: 67:[31, 64, 14, 57], Operations: [] Exploring Operation: 64-57=7, Resulting Numbers: [31, 14, 7] Generated Node #2: [31, 14, 7] from Operation: 64-57=7 Current State: 67:[31, 14, 7], Operations: ['64-57=7'] Exploring Operation: 14*7=98, Resulting Numbers: [31, 98] Generated Node #3: [31, 98] from Operation: 14*7=98 Current State: 67:[31, 98], Operations: ['64-57=7', '14*7=98'] Exploring Operation: 98-31=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 55, 20, 15, 4 ]
15
[ "55+20=75", "15*4=60", "75-60=15" ]
Current State: 15:[55, 20, 15, 4], Operations: [] Exploring Operation: 55+20=75, Resulting Numbers: [15, 4, 75] Generated Node #2: [15, 4, 75] from Operation: 55+20=75 Current State: 15:[15, 4, 75], Operations: ['55+20=75'] Exploring Operation: 15*4=60, Resulting Numbers: [75, 60] Generated Node #3: [75, 60] from Operation: 15*4=60 Current State: 15:[75, 60], Operations: ['55+20=75', '15*4=60'] Exploring Operation: 75-60=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 13, 40, 35, 10 ]
52
[ "40-13=27", "35-10=25", "27+25=52" ]
Current State: 52:[13, 40, 35, 10], Operations: [] Exploring Operation: 40-13=27, Resulting Numbers: [35, 10, 27] Generated Node #2: [35, 10, 27] from Operation: 40-13=27 Current State: 52:[35, 10, 27], Operations: ['40-13=27'] Exploring Operation: 35-10=25, Resulting Numbers: [27, 25] Generated Node #3: [27, 25] from Operation: 35-10=25 Current State: 52:[27, 25], Operations: ['40-13=27', '35-10=25'] Exploring Operation: 27+25=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 8, 66, 71, 4 ]
72
[ "71-66=5", "4+5=9", "8*9=72" ]
Current State: 72:[8, 66, 71, 4], Operations: [] Exploring Operation: 71-66=5, Resulting Numbers: [8, 4, 5] Generated Node #2: [8, 4, 5] from Operation: 71-66=5 Current State: 72:[8, 4, 5], Operations: ['71-66=5'] Exploring Operation: 4+5=9, Resulting Numbers: [8, 9] Generated Node #3: [8, 9] from Operation: 4+5=9 Current State: 72:[8, 9], Operations: ['71-66=5', '4+5=9'] Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 92, 77, 11, 83 ]
22
[ "92-83=9", "11*9=99", "99-77=22" ]
Current State: 22:[92, 77, 11, 83], Operations: [] Exploring Operation: 92-83=9, Resulting Numbers: [77, 11, 9] Generated Node #2: [77, 11, 9] from Operation: 92-83=9 Current State: 22:[77, 11, 9], Operations: ['92-83=9'] Exploring Operation: 11*9=99, Resulting Numbers: [77, 99] Generated Node #3: [77, 99] from Operation: 11*9=99 Current State: 22:[77, 99], Operations: ['92-83=9', '11*9=99'] Exploring Operation: 99-77=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 65, 48, 66, 98 ]
46
[ "98-65=33", "66/33=2", "48-2=46" ]
Current State: 46:[65, 48, 66, 98], Operations: [] Exploring Operation: 98-65=33, Resulting Numbers: [48, 66, 33] Generated Node #2: [48, 66, 33] from Operation: 98-65=33 Current State: 46:[48, 66, 33], Operations: ['98-65=33'] Exploring Operation: 66/33=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 66/33=2 Current State: 46:[48, 2], Operations: ['98-65=33', '66/33=2'] Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 49, 66, 40, 8 ]
31
[ "66-49=17", "40+8=48", "48-17=31" ]
Current State: 31:[49, 66, 40, 8], Operations: [] Exploring Operation: 66-49=17, Resulting Numbers: [40, 8, 17] Generated Node #2: [40, 8, 17] from Operation: 66-49=17 Current State: 31:[40, 8, 17], Operations: ['66-49=17'] Exploring Operation: 40+8=48, Resulting Numbers: [17, 48] Generated Node #3: [17, 48] from Operation: 40+8=48 Current State: 31:[17, 48], Operations: ['66-49=17', '40+8=48'] Exploring Operation: 48-17=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 26, 85, 93, 63 ]
97
[ "85-26=59", "93+63=156", "156-59=97" ]
Current State: 97:[26, 85, 93, 63], Operations: [] Exploring Operation: 85-26=59, Resulting Numbers: [93, 63, 59] Generated Node #2: [93, 63, 59] from Operation: 85-26=59 Current State: 97:[93, 63, 59], Operations: ['85-26=59'] Exploring Operation: 93+63=156, Resulting Numbers: [59, 156] Generated Node #3: [59, 156] from Operation: 93+63=156 Current State: 97:[59, 156], Operations: ['85-26=59', '93+63=156'] Exploring Operation: 156-59=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4