Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 29, 83, 25, 38 ]
67
[ "83-29=54", "38-25=13", "54+13=67" ]
Current State: 67:[29, 83, 25, 38], Operations: [] Exploring Operation: 83-29=54, Resulting Numbers: [25, 38, 54] Generated Node #2: [25, 38, 54] from Operation: 83-29=54 Current State: 67:[25, 38, 54], Operations: ['83-29=54'] Exploring Operation: 38-25=13, Resulting Numbers: [54, 13] Generated Node #3: [54, 13] from Operation: 38-25=13 Current State: 67:[54, 13], Operations: ['83-29=54', '38-25=13'] Exploring Operation: 54+13=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 74, 5, 49, 80 ]
85
[ "74-49=25", "25/5=5", "80+5=85" ]
Current State: 85:[74, 5, 49, 80], Operations: [] Exploring Operation: 74-49=25, Resulting Numbers: [5, 80, 25] Generated Node #2: [5, 80, 25] from Operation: 74-49=25 Current State: 85:[5, 80, 25], Operations: ['74-49=25'] Exploring Operation: 25/5=5, Resulting Numbers: [80, 5] Generated Node #3: [80, 5] from Operation: 25/5=5 Current State: 85:[80, 5], Operations: ['74-49=25', '25/5=5'] Exploring Operation: 80+5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 54, 54, 68, 14 ]
68
[ "54-54=0", "14*0=0", "68+0=68" ]
Current State: 68:[54, 54, 68, 14], Operations: [] Exploring Operation: 54-54=0, Resulting Numbers: [68, 14, 0] Generated Node #2: [68, 14, 0] from Operation: 54-54=0 Current State: 68:[68, 14, 0], Operations: ['54-54=0'] Exploring Operation: 14*0=0, Resulting Numbers: [68, 0] Generated Node #3: [68, 0] from Operation: 14*0=0 Current State: 68:[68, 0], Operations: ['54-54=0', '14*0=0'] Exploring Operation: 68+0=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 2, 63, 62, 97 ]
45
[ "97-63=34", "34/2=17", "62-17=45" ]
Current State: 45:[2, 63, 62, 97], Operations: [] Exploring Operation: 97-63=34, Resulting Numbers: [2, 62, 34] Generated Node #2: [2, 62, 34] from Operation: 97-63=34 Current State: 45:[2, 62, 34], Operations: ['97-63=34'] Exploring Operation: 34/2=17, Resulting Numbers: [62, 17] Generated Node #3: [62, 17] from Operation: 34/2=17 Current State: 45:[62, 17], Operations: ['97-63=34', '34/2=17'] Exploring Operation: 62-17=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 74, 42, 46, 92 ]
78
[ "74-42=32", "92-46=46", "32+46=78" ]
Current State: 78:[74, 42, 46, 92], Operations: [] Exploring Operation: 74-42=32, Resulting Numbers: [46, 92, 32] Generated Node #2: [46, 92, 32] from Operation: 74-42=32 Current State: 78:[46, 92, 32], Operations: ['74-42=32'] Exploring Operation: 92-46=46, Resulting Numbers: [32, 46] Generated Node #3: [32, 46] from Operation: 92-46=46 Current State: 78:[32, 46], Operations: ['74-42=32', '92-46=46'] Exploring Operation: 32+46=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 12, 10, 17, 39 ]
61
[ "12-10=2", "39*2=78", "78-17=61" ]
Current State: 61:[12, 10, 17, 39], Operations: [] Exploring Operation: 12-10=2, Resulting Numbers: [17, 39, 2] Generated Node #2: [17, 39, 2] from Operation: 12-10=2 Current State: 61:[17, 39, 2], Operations: ['12-10=2'] Exploring Operation: 39*2=78, Resulting Numbers: [17, 78] Generated Node #3: [17, 78] from Operation: 39*2=78 Current State: 61:[17, 78], Operations: ['12-10=2', '39*2=78'] Exploring Operation: 78-17=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 48, 50, 64, 60 ]
95
[ "48*60=2880", "2880/64=45", "50+45=95" ]
Current State: 95:[48, 50, 64, 60], Operations: [] Exploring Operation: 48*60=2880, Resulting Numbers: [50, 64, 2880] Generated Node #2: [50, 64, 2880] from Operation: 48*60=2880 Current State: 95:[50, 64, 2880], Operations: ['48*60=2880'] Exploring Operation: 2880/64=45, Resulting Numbers: [50, 45] Generated Node #3: [50, 45] from Operation: 2880/64=45 Current State: 95:[50, 45], Operations: ['48*60=2880', '2880/64=45'] Exploring Operation: 50+45=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 23, 70, 50, 1 ]
98
[ "70-23=47", "50+1=51", "47+51=98" ]
Current State: 98:[23, 70, 50, 1], Operations: [] Exploring Operation: 70-23=47, Resulting Numbers: [50, 1, 47] Generated Node #2: [50, 1, 47] from Operation: 70-23=47 Current State: 98:[50, 1, 47], Operations: ['70-23=47'] Exploring Operation: 50+1=51, Resulting Numbers: [47, 51] Generated Node #3: [47, 51] from Operation: 50+1=51 Current State: 98:[47, 51], Operations: ['70-23=47', '50+1=51'] Exploring Operation: 47+51=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 51, 74, 72, 89 ]
70
[ "51+89=140", "74-72=2", "140/2=70" ]
Current State: 70:[51, 74, 72, 89], Operations: [] Exploring Operation: 51+89=140, Resulting Numbers: [74, 72, 140] Generated Node #2: [74, 72, 140] from Operation: 51+89=140 Current State: 70:[74, 72, 140], Operations: ['51+89=140'] Exploring Operation: 74-72=2, Resulting Numbers: [140, 2] Generated Node #3: [140, 2] from Operation: 74-72=2 Current State: 70:[140, 2], Operations: ['51+89=140', '74-72=2'] Exploring Operation: 140/2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 5, 14, 2, 36 ]
62
[ "5+2=7", "14*7=98", "98-36=62" ]
Current State: 62:[5, 14, 2, 36], Operations: [] Exploring Operation: 5+2=7, Resulting Numbers: [14, 36, 7] Generated Node #2: [14, 36, 7] from Operation: 5+2=7 Current State: 62:[14, 36, 7], Operations: ['5+2=7'] Exploring Operation: 14*7=98, Resulting Numbers: [36, 98] Generated Node #3: [36, 98] from Operation: 14*7=98 Current State: 62:[36, 98], Operations: ['5+2=7', '14*7=98'] Exploring Operation: 98-36=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 2, 45, 7, 90 ]
15
[ "2+7=9", "45+90=135", "135/9=15" ]
Current State: 15:[2, 45, 7, 90], Operations: [] Exploring Operation: 2+7=9, Resulting Numbers: [45, 90, 9] Generated Node #2: [45, 90, 9] from Operation: 2+7=9 Current State: 15:[45, 90, 9], Operations: ['2+7=9'] Exploring Operation: 45+90=135, Resulting Numbers: [9, 135] Generated Node #3: [9, 135] from Operation: 45+90=135 Current State: 15:[9, 135], Operations: ['2+7=9', '45+90=135'] Exploring Operation: 135/9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 31, 55, 93, 94 ]
25
[ "55-31=24", "94-93=1", "24+1=25" ]
Current State: 25:[31, 55, 93, 94], Operations: [] Exploring Operation: 55-31=24, Resulting Numbers: [93, 94, 24] Generated Node #2: [93, 94, 24] from Operation: 55-31=24 Current State: 25:[93, 94, 24], Operations: ['55-31=24'] Exploring Operation: 94-93=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 94-93=1 Current State: 25:[24, 1], Operations: ['55-31=24', '94-93=1'] Exploring Operation: 24+1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 5, 86, 53, 91 ]
78
[ "91-86=5", "5*5=25", "53+25=78" ]
Current State: 78:[5, 86, 53, 91], Operations: [] Exploring Operation: 91-86=5, Resulting Numbers: [5, 53, 5] Generated Node #2: [5, 53, 5] from Operation: 91-86=5 Current State: 78:[5, 53, 5], Operations: ['91-86=5'] Exploring Operation: 5*5=25, Resulting Numbers: [53, 25] Generated Node #3: [53, 25] from Operation: 5*5=25 Current State: 78:[53, 25], Operations: ['91-86=5', '5*5=25'] Exploring Operation: 53+25=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 24, 22, 98, 66 ]
30
[ "24-22=2", "98-66=32", "32-2=30" ]
Current State: 30:[24, 22, 98, 66], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [98, 66, 2] Generated Node #2: [98, 66, 2] from Operation: 24-22=2 Current State: 30:[98, 66, 2], Operations: ['24-22=2'] Exploring Operation: 98-66=32, Resulting Numbers: [2, 32] Generated Node #3: [2, 32] from Operation: 98-66=32 Current State: 30:[2, 32], Operations: ['24-22=2', '98-66=32'] Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 22, 47, 88, 41 ]
11
[ "88-22=66", "47-41=6", "66/6=11" ]
Current State: 11:[22, 47, 88, 41], Operations: [] Exploring Operation: 88-22=66, Resulting Numbers: [47, 41, 66] Generated Node #2: [47, 41, 66] from Operation: 88-22=66 Current State: 11:[47, 41, 66], Operations: ['88-22=66'] Exploring Operation: 47-41=6, Resulting Numbers: [66, 6] Generated Node #3: [66, 6] from Operation: 47-41=6 Current State: 11:[66, 6], Operations: ['88-22=66', '47-41=6'] Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 61, 51, 26, 5 ]
13
[ "61-51=10", "26*5=130", "130/10=13" ]
Current State: 13:[61, 51, 26, 5], Operations: [] Exploring Operation: 61-51=10, Resulting Numbers: [26, 5, 10] Generated Node #2: [26, 5, 10] from Operation: 61-51=10 Current State: 13:[26, 5, 10], Operations: ['61-51=10'] Exploring Operation: 26*5=130, Resulting Numbers: [10, 130] Generated Node #3: [10, 130] from Operation: 26*5=130 Current State: 13:[10, 130], Operations: ['61-51=10', '26*5=130'] Exploring Operation: 130/10=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 84, 28, 38, 37 ]
56
[ "84-28=56", "38-37=1", "56*1=56" ]
Current State: 56:[84, 28, 38, 37], Operations: [] Exploring Operation: 84-28=56, Resulting Numbers: [38, 37, 56] Generated Node #2: [38, 37, 56] from Operation: 84-28=56 Current State: 56:[38, 37, 56], Operations: ['84-28=56'] Exploring Operation: 38-37=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 38-37=1 Current State: 56:[56, 1], Operations: ['84-28=56', '38-37=1'] Exploring Operation: 56*1=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 32, 18, 58, 82 ]
77
[ "32+58=90", "90/18=5", "82-5=77" ]
Current State: 77:[32, 18, 58, 82], Operations: [] Exploring Operation: 32+58=90, Resulting Numbers: [18, 82, 90] Generated Node #2: [18, 82, 90] from Operation: 32+58=90 Current State: 77:[18, 82, 90], Operations: ['32+58=90'] Exploring Operation: 90/18=5, Resulting Numbers: [82, 5] Generated Node #3: [82, 5] from Operation: 90/18=5 Current State: 77:[82, 5], Operations: ['32+58=90', '90/18=5'] Exploring Operation: 82-5=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 69, 3, 91, 35 ]
27
[ "91+35=126", "126/3=42", "69-42=27" ]
Current State: 27:[69, 3, 91, 35], Operations: [] Exploring Operation: 91+35=126, Resulting Numbers: [69, 3, 126] Generated Node #2: [69, 3, 126] from Operation: 91+35=126 Current State: 27:[69, 3, 126], Operations: ['91+35=126'] Exploring Operation: 126/3=42, Resulting Numbers: [69, 42] Generated Node #3: [69, 42] from Operation: 126/3=42 Current State: 27:[69, 42], Operations: ['91+35=126', '126/3=42'] Exploring Operation: 69-42=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 43, 25, 15, 35 ]
68
[ "43-25=18", "15+35=50", "18+50=68" ]
Current State: 68:[43, 25, 15, 35], Operations: [] Exploring Operation: 43-25=18, Resulting Numbers: [15, 35, 18] Generated Node #2: [15, 35, 18] from Operation: 43-25=18 Current State: 68:[15, 35, 18], Operations: ['43-25=18'] Exploring Operation: 15+35=50, Resulting Numbers: [18, 50] Generated Node #3: [18, 50] from Operation: 15+35=50 Current State: 68:[18, 50], Operations: ['43-25=18', '15+35=50'] Exploring Operation: 18+50=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 61, 4, 92, 8 ]
82
[ "92-8=84", "84/4=21", "61+21=82" ]
Current State: 82:[61, 4, 92, 8], Operations: [] Exploring Operation: 92-8=84, Resulting Numbers: [61, 4, 84] Generated Node #2: [61, 4, 84] from Operation: 92-8=84 Current State: 82:[61, 4, 84], Operations: ['92-8=84'] Exploring Operation: 84/4=21, Resulting Numbers: [61, 21] Generated Node #3: [61, 21] from Operation: 84/4=21 Current State: 82:[61, 21], Operations: ['92-8=84', '84/4=21'] Exploring Operation: 61+21=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 5, 64, 98, 64 ]
94
[ "98-5=93", "64/64=1", "93+1=94" ]
Current State: 94:[5, 64, 98, 64], Operations: [] Exploring Operation: 98-5=93, Resulting Numbers: [64, 64, 93] Generated Node #2: [64, 64, 93] from Operation: 98-5=93 Current State: 94:[64, 64, 93], Operations: ['98-5=93'] Exploring Operation: 64/64=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 64/64=1 Current State: 94:[93, 1], Operations: ['98-5=93', '64/64=1'] Exploring Operation: 93+1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 53, 48, 31, 49 ]
85
[ "53-48=5", "31+49=80", "5+80=85" ]
Current State: 85:[53, 48, 31, 49], Operations: [] Exploring Operation: 53-48=5, Resulting Numbers: [31, 49, 5] Generated Node #2: [31, 49, 5] from Operation: 53-48=5 Current State: 85:[31, 49, 5], Operations: ['53-48=5'] Exploring Operation: 31+49=80, Resulting Numbers: [5, 80] Generated Node #3: [5, 80] from Operation: 31+49=80 Current State: 85:[5, 80], Operations: ['53-48=5', '31+49=80'] Exploring Operation: 5+80=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 13, 21, 31, 18 ]
70
[ "21-18=3", "13*3=39", "31+39=70" ]
Current State: 70:[13, 21, 31, 18], Operations: [] Exploring Operation: 21-18=3, Resulting Numbers: [13, 31, 3] Generated Node #2: [13, 31, 3] from Operation: 21-18=3 Current State: 70:[13, 31, 3], Operations: ['21-18=3'] Exploring Operation: 13*3=39, Resulting Numbers: [31, 39] Generated Node #3: [31, 39] from Operation: 13*3=39 Current State: 70:[31, 39], Operations: ['21-18=3', '13*3=39'] Exploring Operation: 31+39=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 4, 25, 31, 6 ]
37
[ "6-4=2", "31*2=62", "62-25=37" ]
Current State: 37:[4, 25, 31, 6], Operations: [] Exploring Operation: 6-4=2, Resulting Numbers: [25, 31, 2] Generated Node #2: [25, 31, 2] from Operation: 6-4=2 Current State: 37:[25, 31, 2], Operations: ['6-4=2'] Exploring Operation: 31*2=62, Resulting Numbers: [25, 62] Generated Node #3: [25, 62] from Operation: 31*2=62 Current State: 37:[25, 62], Operations: ['6-4=2', '31*2=62'] Exploring Operation: 62-25=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 44, 71, 73, 29 ]
71
[ "44+71=115", "73-29=44", "115-44=71" ]
Current State: 71:[44, 71, 73, 29], Operations: [] Exploring Operation: 44+71=115, Resulting Numbers: [73, 29, 115] Generated Node #2: [73, 29, 115] from Operation: 44+71=115 Current State: 71:[73, 29, 115], Operations: ['44+71=115'] Exploring Operation: 73-29=44, Resulting Numbers: [115, 44] Generated Node #3: [115, 44] from Operation: 73-29=44 Current State: 71:[115, 44], Operations: ['44+71=115', '73-29=44'] Exploring Operation: 115-44=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 32, 47, 58, 42 ]
85
[ "47-32=15", "58+42=100", "100-15=85" ]
Current State: 85:[32, 47, 58, 42], Operations: [] Exploring Operation: 47-32=15, Resulting Numbers: [58, 42, 15] Generated Node #2: [58, 42, 15] from Operation: 47-32=15 Current State: 85:[58, 42, 15], Operations: ['47-32=15'] Exploring Operation: 58+42=100, Resulting Numbers: [15, 100] Generated Node #3: [15, 100] from Operation: 58+42=100 Current State: 85:[15, 100], Operations: ['47-32=15', '58+42=100'] Exploring Operation: 100-15=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 94, 7, 12, 91 ]
69
[ "94-12=82", "91/7=13", "82-13=69" ]
Current State: 69:[94, 7, 12, 91], Operations: [] Exploring Operation: 94-12=82, Resulting Numbers: [7, 91, 82] Generated Node #2: [7, 91, 82] from Operation: 94-12=82 Current State: 69:[7, 91, 82], Operations: ['94-12=82'] Exploring Operation: 91/7=13, Resulting Numbers: [82, 13] Generated Node #3: [82, 13] from Operation: 91/7=13 Current State: 69:[82, 13], Operations: ['94-12=82', '91/7=13'] Exploring Operation: 82-13=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 45, 75, 54, 78 ]
69
[ "78-75=3", "45/3=15", "54+15=69" ]
Current State: 69:[45, 75, 54, 78], Operations: [] Exploring Operation: 78-75=3, Resulting Numbers: [45, 54, 3] Generated Node #2: [45, 54, 3] from Operation: 78-75=3 Current State: 69:[45, 54, 3], Operations: ['78-75=3'] Exploring Operation: 45/3=15, Resulting Numbers: [54, 15] Generated Node #3: [54, 15] from Operation: 45/3=15 Current State: 69:[54, 15], Operations: ['78-75=3', '45/3=15'] Exploring Operation: 54+15=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 30, 14, 10, 71 ]
45
[ "30-14=16", "71-10=61", "61-16=45" ]
Current State: 45:[30, 14, 10, 71], Operations: [] Exploring Operation: 30-14=16, Resulting Numbers: [10, 71, 16] Generated Node #2: [10, 71, 16] from Operation: 30-14=16 Current State: 45:[10, 71, 16], Operations: ['30-14=16'] Exploring Operation: 71-10=61, Resulting Numbers: [16, 61] Generated Node #3: [16, 61] from Operation: 71-10=61 Current State: 45:[16, 61], Operations: ['30-14=16', '71-10=61'] Exploring Operation: 61-16=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 9, 79, 68, 37 ]
74
[ "79-9=70", "70-68=2", "37*2=74" ]
Current State: 74:[9, 79, 68, 37], Operations: [] Exploring Operation: 79-9=70, Resulting Numbers: [68, 37, 70] Generated Node #2: [68, 37, 70] from Operation: 79-9=70 Current State: 74:[68, 37, 70], Operations: ['79-9=70'] Exploring Operation: 70-68=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 70-68=2 Current State: 74:[37, 2], Operations: ['79-9=70', '70-68=2'] Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 20, 52, 24, 32 ]
80
[ "20+52=72", "32-24=8", "72+8=80" ]
Current State: 80:[20, 52, 24, 32], Operations: [] Exploring Operation: 20+52=72, Resulting Numbers: [24, 32, 72] Generated Node #2: [24, 32, 72] from Operation: 20+52=72 Current State: 80:[24, 32, 72], Operations: ['20+52=72'] Exploring Operation: 32-24=8, Resulting Numbers: [72, 8] Generated Node #3: [72, 8] from Operation: 32-24=8 Current State: 80:[72, 8], Operations: ['20+52=72', '32-24=8'] Exploring Operation: 72+8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 94, 2, 12, 14 ]
52
[ "94-14=80", "80/2=40", "12+40=52" ]
Current State: 52:[94, 2, 12, 14], Operations: [] Exploring Operation: 94-14=80, Resulting Numbers: [2, 12, 80] Generated Node #2: [2, 12, 80] from Operation: 94-14=80 Current State: 52:[2, 12, 80], Operations: ['94-14=80'] Exploring Operation: 80/2=40, Resulting Numbers: [12, 40] Generated Node #3: [12, 40] from Operation: 80/2=40 Current State: 52:[12, 40], Operations: ['94-14=80', '80/2=40'] Exploring Operation: 12+40=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 80, 85, 87, 48 ]
56
[ "87-85=2", "48/2=24", "80-24=56" ]
Current State: 56:[80, 85, 87, 48], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [80, 48, 2] Generated Node #2: [80, 48, 2] from Operation: 87-85=2 Current State: 56:[80, 48, 2], Operations: ['87-85=2'] Exploring Operation: 48/2=24, Resulting Numbers: [80, 24] Generated Node #3: [80, 24] from Operation: 48/2=24 Current State: 56:[80, 24], Operations: ['87-85=2', '48/2=24'] Exploring Operation: 80-24=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 14, 62, 91, 93 ]
70
[ "14+91=105", "62*105=6510", "6510/93=70" ]
Current State: 70:[14, 62, 91, 93], Operations: [] Exploring Operation: 14+91=105, Resulting Numbers: [62, 93, 105] Generated Node #2: [62, 93, 105] from Operation: 14+91=105 Current State: 70:[62, 93, 105], Operations: ['14+91=105'] Exploring Operation: 62*105=6510, Resulting Numbers: [93, 6510] Generated Node #3: [93, 6510] from Operation: 62*105=6510 Current State: 70:[93, 6510], Operations: ['14+91=105', '62*105=6510'] Exploring Operation: 6510/93=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 22, 74, 91, 70 ]
73
[ "74-22=52", "91-70=21", "52+21=73" ]
Current State: 73:[22, 74, 91, 70], Operations: [] Exploring Operation: 74-22=52, Resulting Numbers: [91, 70, 52] Generated Node #2: [91, 70, 52] from Operation: 74-22=52 Current State: 73:[91, 70, 52], Operations: ['74-22=52'] Exploring Operation: 91-70=21, Resulting Numbers: [52, 21] Generated Node #3: [52, 21] from Operation: 91-70=21 Current State: 73:[52, 21], Operations: ['74-22=52', '91-70=21'] Exploring Operation: 52+21=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 38, 79, 80, 47 ]
85
[ "38+47=85", "80-79=1", "85*1=85" ]
Current State: 85:[38, 79, 80, 47], Operations: [] Exploring Operation: 38+47=85, Resulting Numbers: [79, 80, 85] Generated Node #2: [79, 80, 85] from Operation: 38+47=85 Current State: 85:[79, 80, 85], Operations: ['38+47=85'] Exploring Operation: 80-79=1, Resulting Numbers: [85, 1] Generated Node #3: [85, 1] from Operation: 80-79=1 Current State: 85:[85, 1], Operations: ['38+47=85', '80-79=1'] Exploring Operation: 85*1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 63, 3, 10, 52 ]
43
[ "63-52=11", "3*11=33", "10+33=43" ]
Current State: 43:[63, 3, 10, 52], Operations: [] Exploring Operation: 63-52=11, Resulting Numbers: [3, 10, 11] Generated Node #2: [3, 10, 11] from Operation: 63-52=11 Current State: 43:[3, 10, 11], Operations: ['63-52=11'] Exploring Operation: 3*11=33, Resulting Numbers: [10, 33] Generated Node #3: [10, 33] from Operation: 3*11=33 Current State: 43:[10, 33], Operations: ['63-52=11', '3*11=33'] Exploring Operation: 10+33=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 53, 8, 89, 58 ]
92
[ "53+8=61", "89-58=31", "61+31=92" ]
Current State: 92:[53, 8, 89, 58], Operations: [] Exploring Operation: 53+8=61, Resulting Numbers: [89, 58, 61] Generated Node #2: [89, 58, 61] from Operation: 53+8=61 Current State: 92:[89, 58, 61], Operations: ['53+8=61'] Exploring Operation: 89-58=31, Resulting Numbers: [61, 31] Generated Node #3: [61, 31] from Operation: 89-58=31 Current State: 92:[61, 31], Operations: ['53+8=61', '89-58=31'] Exploring Operation: 61+31=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 26, 9, 18, 18 ]
88
[ "26+18=44", "18/9=2", "44*2=88" ]
Current State: 88:[26, 9, 18, 18], Operations: [] Exploring Operation: 26+18=44, Resulting Numbers: [9, 44] Generated Node #2: [9, 44] from Operation: 26+18=44 Current State: 88:[9, 44], Operations: ['26+18=44'] Exploring Operation: 18/9=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 18/9=2 Current State: 88:[44, 2], Operations: ['26+18=44', '18/9=2'] Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 66, 39, 63, 39 ]
52
[ "66-63=3", "39/3=13", "39+13=52" ]
Current State: 52:[66, 39, 63, 39], Operations: [] Exploring Operation: 66-63=3, Resulting Numbers: [39, 39, 3] Generated Node #2: [39, 39, 3] from Operation: 66-63=3 Current State: 52:[39, 39, 3], Operations: ['66-63=3'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,52 equal: Goal Reached Exploring Operation: 39+13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 69, 4, 30, 60 ]
25
[ "69-4=65", "30+60=90", "90-65=25" ]
Current State: 25:[69, 4, 30, 60], Operations: [] Exploring Operation: 69-4=65, Resulting Numbers: [30, 60, 65] Generated Node #2: [30, 60, 65] from Operation: 69-4=65 Current State: 25:[30, 60, 65], Operations: ['69-4=65'] Exploring Operation: 30+60=90, Resulting Numbers: [65, 90] Generated Node #3: [65, 90] from Operation: 30+60=90 Current State: 25:[65, 90], Operations: ['69-4=65', '30+60=90'] Exploring Operation: 90-65=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 82, 71, 61, 59 ]
33
[ "82+71=153", "61+59=120", "153-120=33" ]
Current State: 33:[82, 71, 61, 59], Operations: [] Exploring Operation: 82+71=153, Resulting Numbers: [61, 59, 153] Generated Node #2: [61, 59, 153] from Operation: 82+71=153 Current State: 33:[61, 59, 153], Operations: ['82+71=153'] Exploring Operation: 61+59=120, Resulting Numbers: [153, 120] Generated Node #3: [153, 120] from Operation: 61+59=120 Current State: 33:[153, 120], Operations: ['82+71=153', '61+59=120'] Exploring Operation: 153-120=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 32, 99, 66, 30 ]
29
[ "99-32=67", "66+30=96", "96-67=29" ]
Current State: 29:[32, 99, 66, 30], Operations: [] Exploring Operation: 99-32=67, Resulting Numbers: [66, 30, 67] Generated Node #2: [66, 30, 67] from Operation: 99-32=67 Current State: 29:[66, 30, 67], Operations: ['99-32=67'] Exploring Operation: 66+30=96, Resulting Numbers: [67, 96] Generated Node #3: [67, 96] from Operation: 66+30=96 Current State: 29:[67, 96], Operations: ['99-32=67', '66+30=96'] Exploring Operation: 96-67=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 42, 51, 59, 80 ]
72
[ "42+51=93", "80-59=21", "93-21=72" ]
Current State: 72:[42, 51, 59, 80], Operations: [] Exploring Operation: 42+51=93, Resulting Numbers: [59, 80, 93] Generated Node #2: [59, 80, 93] from Operation: 42+51=93 Current State: 72:[59, 80, 93], Operations: ['42+51=93'] Exploring Operation: 80-59=21, Resulting Numbers: [93, 21] Generated Node #3: [93, 21] from Operation: 80-59=21 Current State: 72:[93, 21], Operations: ['42+51=93', '80-59=21'] Exploring Operation: 93-21=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 34, 4, 12, 39 ]
57
[ "34-4=30", "39-12=27", "30+27=57" ]
Current State: 57:[34, 4, 12, 39], Operations: [] Exploring Operation: 34-4=30, Resulting Numbers: [12, 39, 30] Generated Node #2: [12, 39, 30] from Operation: 34-4=30 Current State: 57:[12, 39, 30], Operations: ['34-4=30'] Exploring Operation: 39-12=27, Resulting Numbers: [30, 27] Generated Node #3: [30, 27] from Operation: 39-12=27 Current State: 57:[30, 27], Operations: ['34-4=30', '39-12=27'] Exploring Operation: 30+27=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 44, 56, 58, 49 ]
39
[ "58-56=2", "44*2=88", "88-49=39" ]
Current State: 39:[44, 56, 58, 49], Operations: [] Exploring Operation: 58-56=2, Resulting Numbers: [44, 49, 2] Generated Node #2: [44, 49, 2] from Operation: 58-56=2 Current State: 39:[44, 49, 2], Operations: ['58-56=2'] Exploring Operation: 44*2=88, Resulting Numbers: [49, 88] Generated Node #3: [49, 88] from Operation: 44*2=88 Current State: 39:[49, 88], Operations: ['58-56=2', '44*2=88'] Exploring Operation: 88-49=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 24, 54, 33, 73 ]
79
[ "33-24=9", "54/9=6", "73+6=79" ]
Current State: 79:[24, 54, 33, 73], Operations: [] Exploring Operation: 33-24=9, Resulting Numbers: [54, 73, 9] Generated Node #2: [54, 73, 9] from Operation: 33-24=9 Current State: 79:[54, 73, 9], Operations: ['33-24=9'] Exploring Operation: 54/9=6, Resulting Numbers: [73, 6] Generated Node #3: [73, 6] from Operation: 54/9=6 Current State: 79:[73, 6], Operations: ['33-24=9', '54/9=6'] Exploring Operation: 73+6=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 88, 23, 89, 53 ]
75
[ "88+23=111", "89-53=36", "111-36=75" ]
Current State: 75:[88, 23, 89, 53], Operations: [] Exploring Operation: 88+23=111, Resulting Numbers: [89, 53, 111] Generated Node #2: [89, 53, 111] from Operation: 88+23=111 Current State: 75:[89, 53, 111], Operations: ['88+23=111'] Exploring Operation: 89-53=36, Resulting Numbers: [111, 36] Generated Node #3: [111, 36] from Operation: 89-53=36 Current State: 75:[111, 36], Operations: ['88+23=111', '89-53=36'] Exploring Operation: 111-36=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 36, 25, 97, 94 ]
33
[ "36-25=11", "97-94=3", "11*3=33" ]
Current State: 33:[36, 25, 97, 94], Operations: [] Exploring Operation: 36-25=11, Resulting Numbers: [97, 94, 11] Generated Node #2: [97, 94, 11] from Operation: 36-25=11 Current State: 33:[97, 94, 11], Operations: ['36-25=11'] Exploring Operation: 97-94=3, Resulting Numbers: [11, 3] Generated Node #3: [11, 3] from Operation: 97-94=3 Current State: 33:[11, 3], Operations: ['36-25=11', '97-94=3'] Exploring Operation: 11*3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 20, 96, 98, 36 ]
92
[ "36-20=16", "96/16=6", "98-6=92" ]
Current State: 92:[20, 96, 98, 36], Operations: [] Exploring Operation: 36-20=16, Resulting Numbers: [96, 98, 16] Generated Node #2: [96, 98, 16] from Operation: 36-20=16 Current State: 92:[96, 98, 16], Operations: ['36-20=16'] Exploring Operation: 96/16=6, Resulting Numbers: [98, 6] Generated Node #3: [98, 6] from Operation: 96/16=6 Current State: 92:[98, 6], Operations: ['36-20=16', '96/16=6'] Exploring Operation: 98-6=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 98, 86, 43, 7 ]
84
[ "86/43=2", "7*2=14", "98-14=84" ]
Current State: 84:[98, 86, 43, 7], Operations: [] Exploring Operation: 86/43=2, Resulting Numbers: [98, 7, 2] Generated Node #2: [98, 7, 2] from Operation: 86/43=2 Current State: 84:[98, 7, 2], Operations: ['86/43=2'] Exploring Operation: 7*2=14, Resulting Numbers: [98, 14] Generated Node #3: [98, 14] from Operation: 7*2=14 Current State: 84:[98, 14], Operations: ['86/43=2', '7*2=14'] Exploring Operation: 98-14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 11, 76, 1, 14 ]
72
[ "11+76=87", "1+14=15", "87-15=72" ]
Current State: 72:[11, 76, 1, 14], Operations: [] Exploring Operation: 11+76=87, Resulting Numbers: [1, 14, 87] Generated Node #2: [1, 14, 87] from Operation: 11+76=87 Current State: 72:[1, 14, 87], Operations: ['11+76=87'] Exploring Operation: 1+14=15, Resulting Numbers: [87, 15] Generated Node #3: [87, 15] from Operation: 1+14=15 Current State: 72:[87, 15], Operations: ['11+76=87', '1+14=15'] Exploring Operation: 87-15=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 18, 87, 26, 84 ]
96
[ "87-84=3", "26*3=78", "18+78=96" ]
Current State: 96:[18, 87, 26, 84], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [18, 26, 3] Generated Node #2: [18, 26, 3] from Operation: 87-84=3 Current State: 96:[18, 26, 3], Operations: ['87-84=3'] Exploring Operation: 26*3=78, Resulting Numbers: [18, 78] Generated Node #3: [18, 78] from Operation: 26*3=78 Current State: 96:[18, 78], Operations: ['87-84=3', '26*3=78'] Exploring Operation: 18+78=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 34, 75, 63, 5 ]
41
[ "34+75=109", "63+5=68", "109-68=41" ]
Current State: 41:[34, 75, 63, 5], Operations: [] Exploring Operation: 34+75=109, Resulting Numbers: [63, 5, 109] Generated Node #2: [63, 5, 109] from Operation: 34+75=109 Current State: 41:[63, 5, 109], Operations: ['34+75=109'] Exploring Operation: 63+5=68, Resulting Numbers: [109, 68] Generated Node #3: [109, 68] from Operation: 63+5=68 Current State: 41:[109, 68], Operations: ['34+75=109', '63+5=68'] Exploring Operation: 109-68=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 55, 15, 80, 91 ]
20
[ "91-80=11", "55/11=5", "15+5=20" ]
Current State: 20:[55, 15, 80, 91], Operations: [] Exploring Operation: 91-80=11, Resulting Numbers: [55, 15, 11] Generated Node #2: [55, 15, 11] from Operation: 91-80=11 Current State: 20:[55, 15, 11], Operations: ['91-80=11'] Exploring Operation: 55/11=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 55/11=5 Current State: 20:[15, 5], Operations: ['91-80=11', '55/11=5'] Exploring Operation: 15+5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 82, 66, 5, 90 ]
38
[ "90-66=24", "5*24=120", "120-82=38" ]
Current State: 38:[82, 66, 5, 90], Operations: [] Exploring Operation: 90-66=24, Resulting Numbers: [82, 5, 24] Generated Node #2: [82, 5, 24] from Operation: 90-66=24 Current State: 38:[82, 5, 24], Operations: ['90-66=24'] Exploring Operation: 5*24=120, Resulting Numbers: [82, 120] Generated Node #3: [82, 120] from Operation: 5*24=120 Current State: 38:[82, 120], Operations: ['90-66=24', '5*24=120'] Exploring Operation: 120-82=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 79, 25, 4, 15 ]
85
[ "79+25=104", "4+15=19", "104-19=85" ]
Current State: 85:[79, 25, 4, 15], Operations: [] Exploring Operation: 79+25=104, Resulting Numbers: [4, 15, 104] Generated Node #2: [4, 15, 104] from Operation: 79+25=104 Current State: 85:[4, 15, 104], Operations: ['79+25=104'] Exploring Operation: 4+15=19, Resulting Numbers: [104, 19] Generated Node #3: [104, 19] from Operation: 4+15=19 Current State: 85:[104, 19], Operations: ['79+25=104', '4+15=19'] Exploring Operation: 104-19=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 62, 4, 2, 8 ]
14
[ "62+2=64", "64-8=56", "56/4=14" ]
Current State: 14:[62, 4, 2, 8], Operations: [] Exploring Operation: 62+2=64, Resulting Numbers: [4, 8, 64] Generated Node #2: [4, 8, 64] from Operation: 62+2=64 Current State: 14:[4, 8, 64], Operations: ['62+2=64'] Exploring Operation: 64-8=56, Resulting Numbers: [4, 56] Generated Node #3: [4, 56] from Operation: 64-8=56 Current State: 14:[4, 56], Operations: ['62+2=64', '64-8=56'] Exploring Operation: 56/4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 75, 77, 14, 76 ]
60
[ "77-75=2", "76-14=62", "62-2=60" ]
Current State: 60:[75, 77, 14, 76], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [14, 76, 2] Generated Node #2: [14, 76, 2] from Operation: 77-75=2 Current State: 60:[14, 76, 2], Operations: ['77-75=2'] Exploring Operation: 76-14=62, Resulting Numbers: [2, 62] Generated Node #3: [2, 62] from Operation: 76-14=62 Current State: 60:[2, 62], Operations: ['77-75=2', '76-14=62'] Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 95, 8, 55, 51 ]
97
[ "55-51=4", "8/4=2", "95+2=97" ]
Current State: 97:[95, 8, 55, 51], Operations: [] Exploring Operation: 55-51=4, Resulting Numbers: [95, 8, 4] Generated Node #2: [95, 8, 4] from Operation: 55-51=4 Current State: 97:[95, 8, 4], Operations: ['55-51=4'] Exploring Operation: 8/4=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 8/4=2 Current State: 97:[95, 2], Operations: ['55-51=4', '8/4=2'] Exploring Operation: 95+2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 84, 42, 82, 57 ]
97
[ "84-42=42", "82+57=139", "139-42=97" ]
Current State: 97:[84, 42, 82, 57], Operations: [] Exploring Operation: 84-42=42, Resulting Numbers: [82, 57, 42] Generated Node #2: [82, 57, 42] from Operation: 84-42=42 Current State: 97:[82, 57, 42], Operations: ['84-42=42'] Exploring Operation: 82+57=139, Resulting Numbers: [42, 139] Generated Node #3: [42, 139] from Operation: 82+57=139 Current State: 97:[42, 139], Operations: ['84-42=42', '82+57=139'] Exploring Operation: 139-42=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 57, 80, 60, 92 ]
36
[ "60-57=3", "92-80=12", "3*12=36" ]
Current State: 36:[57, 80, 60, 92], Operations: [] Exploring Operation: 60-57=3, Resulting Numbers: [80, 92, 3] Generated Node #2: [80, 92, 3] from Operation: 60-57=3 Current State: 36:[80, 92, 3], Operations: ['60-57=3'] Exploring Operation: 92-80=12, Resulting Numbers: [3, 12] Generated Node #3: [3, 12] from Operation: 92-80=12 Current State: 36:[3, 12], Operations: ['60-57=3', '92-80=12'] Exploring Operation: 3*12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 29, 16, 48, 37 ]
34
[ "29+16=45", "48-37=11", "45-11=34" ]
Current State: 34:[29, 16, 48, 37], Operations: [] Exploring Operation: 29+16=45, Resulting Numbers: [48, 37, 45] Generated Node #2: [48, 37, 45] from Operation: 29+16=45 Current State: 34:[48, 37, 45], Operations: ['29+16=45'] Exploring Operation: 48-37=11, Resulting Numbers: [45, 11] Generated Node #3: [45, 11] from Operation: 48-37=11 Current State: 34:[45, 11], Operations: ['29+16=45', '48-37=11'] Exploring Operation: 45-11=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 48, 1, 37, 29 ]
17
[ "48+1=49", "37+29=66", "66-49=17" ]
Current State: 17:[48, 1, 37, 29], Operations: [] Exploring Operation: 48+1=49, Resulting Numbers: [37, 29, 49] Generated Node #2: [37, 29, 49] from Operation: 48+1=49 Current State: 17:[37, 29, 49], Operations: ['48+1=49'] Exploring Operation: 37+29=66, Resulting Numbers: [49, 66] Generated Node #3: [49, 66] from Operation: 37+29=66 Current State: 17:[49, 66], Operations: ['48+1=49', '37+29=66'] Exploring Operation: 66-49=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 42, 39, 10, 3 ]
43
[ "42/3=14", "39-10=29", "14+29=43" ]
Current State: 43:[42, 39, 10, 3], Operations: [] Exploring Operation: 42/3=14, Resulting Numbers: [39, 10, 14] Generated Node #2: [39, 10, 14] from Operation: 42/3=14 Current State: 43:[39, 10, 14], Operations: ['42/3=14'] Exploring Operation: 39-10=29, Resulting Numbers: [14, 29] Generated Node #3: [14, 29] from Operation: 39-10=29 Current State: 43:[14, 29], Operations: ['42/3=14', '39-10=29'] Exploring Operation: 14+29=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 12, 23, 55, 37 ]
60
[ "55-23=32", "37-32=5", "12*5=60" ]
Current State: 60:[12, 23, 55, 37], Operations: [] Exploring Operation: 55-23=32, Resulting Numbers: [12, 37, 32] Generated Node #2: [12, 37, 32] from Operation: 55-23=32 Current State: 60:[12, 37, 32], Operations: ['55-23=32'] Exploring Operation: 37-32=5, Resulting Numbers: [12, 5] Generated Node #3: [12, 5] from Operation: 37-32=5 Current State: 60:[12, 5], Operations: ['55-23=32', '37-32=5'] Exploring Operation: 12*5=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 2, 63, 46, 49 ]
68
[ "2+63=65", "49-46=3", "65+3=68" ]
Current State: 68:[2, 63, 46, 49], Operations: [] Exploring Operation: 2+63=65, Resulting Numbers: [46, 49, 65] Generated Node #2: [46, 49, 65] from Operation: 2+63=65 Current State: 68:[46, 49, 65], Operations: ['2+63=65'] Exploring Operation: 49-46=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 49-46=3 Current State: 68:[65, 3], Operations: ['2+63=65', '49-46=3'] Exploring Operation: 65+3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 72, 9, 76, 66 ]
53
[ "72-9=63", "76-66=10", "63-10=53" ]
Current State: 53:[72, 9, 76, 66], Operations: [] Exploring Operation: 72-9=63, Resulting Numbers: [76, 66, 63] Generated Node #2: [76, 66, 63] from Operation: 72-9=63 Current State: 53:[76, 66, 63], Operations: ['72-9=63'] Exploring Operation: 76-66=10, Resulting Numbers: [63, 10] Generated Node #3: [63, 10] from Operation: 76-66=10 Current State: 53:[63, 10], Operations: ['72-9=63', '76-66=10'] Exploring Operation: 63-10=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 49, 51, 77, 98 ]
13
[ "98/49=2", "77-51=26", "26/2=13" ]
Current State: 13:[49, 51, 77, 98], Operations: [] Exploring Operation: 98/49=2, Resulting Numbers: [51, 77, 2] Generated Node #2: [51, 77, 2] from Operation: 98/49=2 Current State: 13:[51, 77, 2], Operations: ['98/49=2'] Exploring Operation: 77-51=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 77-51=26 Current State: 13:[2, 26], Operations: ['98/49=2', '77-51=26'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 55, 68, 18, 88 ]
17
[ "55+68=123", "18+88=106", "123-106=17" ]
Current State: 17:[55, 68, 18, 88], Operations: [] Exploring Operation: 55+68=123, Resulting Numbers: [18, 88, 123] Generated Node #2: [18, 88, 123] from Operation: 55+68=123 Current State: 17:[18, 88, 123], Operations: ['55+68=123'] Exploring Operation: 18+88=106, Resulting Numbers: [123, 106] Generated Node #3: [123, 106] from Operation: 18+88=106 Current State: 17:[123, 106], Operations: ['55+68=123', '18+88=106'] Exploring Operation: 123-106=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 95, 48, 13, 12 ]
78
[ "95-13=82", "48/12=4", "82-4=78" ]
Current State: 78:[95, 48, 13, 12], Operations: [] Exploring Operation: 95-13=82, Resulting Numbers: [48, 12, 82] Generated Node #2: [48, 12, 82] from Operation: 95-13=82 Current State: 78:[48, 12, 82], Operations: ['95-13=82'] Exploring Operation: 48/12=4, Resulting Numbers: [82, 4] Generated Node #3: [82, 4] from Operation: 48/12=4 Current State: 78:[82, 4], Operations: ['95-13=82', '48/12=4'] Exploring Operation: 82-4=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 1, 57, 40, 19 ]
36
[ "1*57=57", "40-19=21", "57-21=36" ]
Current State: 36:[1, 57, 40, 19], Operations: [] Exploring Operation: 1*57=57, Resulting Numbers: [40, 19, 57] Generated Node #2: [40, 19, 57] from Operation: 1*57=57 Current State: 36:[40, 19, 57], Operations: ['1*57=57'] Exploring Operation: 40-19=21, Resulting Numbers: [57, 21] Generated Node #3: [57, 21] from Operation: 40-19=21 Current State: 36:[57, 21], Operations: ['1*57=57', '40-19=21'] Exploring Operation: 57-21=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 43, 92, 50, 20 ]
79
[ "92-43=49", "50-20=30", "49+30=79" ]
Current State: 79:[43, 92, 50, 20], Operations: [] Exploring Operation: 92-43=49, Resulting Numbers: [50, 20, 49] Generated Node #2: [50, 20, 49] from Operation: 92-43=49 Current State: 79:[50, 20, 49], Operations: ['92-43=49'] Exploring Operation: 50-20=30, Resulting Numbers: [49, 30] Generated Node #3: [49, 30] from Operation: 50-20=30 Current State: 79:[49, 30], Operations: ['92-43=49', '50-20=30'] Exploring Operation: 49+30=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 5, 18, 10, 60 ]
51
[ "5*18=90", "90/10=9", "60-9=51" ]
Current State: 51:[5, 18, 10, 60], Operations: [] Exploring Operation: 5*18=90, Resulting Numbers: [10, 60, 90] Generated Node #2: [10, 60, 90] from Operation: 5*18=90 Current State: 51:[10, 60, 90], Operations: ['5*18=90'] Exploring Operation: 90/10=9, Resulting Numbers: [60, 9] Generated Node #3: [60, 9] from Operation: 90/10=9 Current State: 51:[60, 9], Operations: ['5*18=90', '90/10=9'] Exploring Operation: 60-9=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 22, 2, 65, 17 ]
53
[ "22+65=87", "2*17=34", "87-34=53" ]
Current State: 53:[22, 2, 65, 17], Operations: [] Exploring Operation: 22+65=87, Resulting Numbers: [2, 17, 87] Generated Node #2: [2, 17, 87] from Operation: 22+65=87 Current State: 53:[2, 17, 87], Operations: ['22+65=87'] Exploring Operation: 2*17=34, Resulting Numbers: [87, 34] Generated Node #3: [87, 34] from Operation: 2*17=34 Current State: 53:[87, 34], Operations: ['22+65=87', '2*17=34'] Exploring Operation: 87-34=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 2, 27, 49, 12 ]
68
[ "49-27=22", "12+22=34", "2*34=68" ]
Current State: 68:[2, 27, 49, 12], Operations: [] Exploring Operation: 49-27=22, Resulting Numbers: [2, 12, 22] Generated Node #2: [2, 12, 22] from Operation: 49-27=22 Current State: 68:[2, 12, 22], Operations: ['49-27=22'] Exploring Operation: 12+22=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 12+22=34 Current State: 68:[2, 34], Operations: ['49-27=22', '12+22=34'] Exploring Operation: 2*34=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 55, 4, 18, 73 ]
55
[ "4*18=72", "73-72=1", "55*1=55" ]
Current State: 55:[55, 4, 18, 73], Operations: [] Exploring Operation: 4*18=72, Resulting Numbers: [55, 73, 72] Generated Node #2: [55, 73, 72] from Operation: 4*18=72 Current State: 55:[55, 73, 72], Operations: ['4*18=72'] Exploring Operation: 73-72=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 73-72=1 Current State: 55:[55, 1], Operations: ['4*18=72', '73-72=1'] Exploring Operation: 55*1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 9, 3, 63, 60 ]
58
[ "9+3=12", "60/12=5", "63-5=58" ]
Current State: 58:[9, 3, 63, 60], Operations: [] Exploring Operation: 9+3=12, Resulting Numbers: [63, 60, 12] Generated Node #2: [63, 60, 12] from Operation: 9+3=12 Current State: 58:[63, 60, 12], Operations: ['9+3=12'] Exploring Operation: 60/12=5, Resulting Numbers: [63, 5] Generated Node #3: [63, 5] from Operation: 60/12=5 Current State: 58:[63, 5], Operations: ['9+3=12', '60/12=5'] Exploring Operation: 63-5=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 2, 2, 5, 13 ]
69
[ "2+2=4", "5*13=65", "4+65=69" ]
Current State: 69:[2, 2, 5, 13], Operations: [] Exploring Operation: 2+2=4, Resulting Numbers: [5, 13, 4] Generated Node #2: [5, 13, 4] from Operation: 2+2=4 Current State: 69:[5, 13, 4], Operations: ['2+2=4'] Exploring Operation: 5*13=65, Resulting Numbers: [4, 65] Generated Node #3: [4, 65] from Operation: 5*13=65 Current State: 69:[4, 65], Operations: ['2+2=4', '5*13=65'] Exploring Operation: 4+65=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 5, 2, 35, 9 ]
27
[ "9-5=4", "2*4=8", "35-8=27" ]
Current State: 27:[5, 2, 35, 9], Operations: [] Exploring Operation: 9-5=4, Resulting Numbers: [2, 35, 4] Generated Node #2: [2, 35, 4] from Operation: 9-5=4 Current State: 27:[2, 35, 4], Operations: ['9-5=4'] Exploring Operation: 2*4=8, Resulting Numbers: [35, 8] Generated Node #3: [35, 8] from Operation: 2*4=8 Current State: 27:[35, 8], Operations: ['9-5=4', '2*4=8'] Exploring Operation: 35-8=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 14, 30, 86, 85 ]
15
[ "30-14=16", "86-85=1", "16-1=15" ]
Current State: 15:[14, 30, 86, 85], Operations: [] Exploring Operation: 30-14=16, Resulting Numbers: [86, 85, 16] Generated Node #2: [86, 85, 16] from Operation: 30-14=16 Current State: 15:[86, 85, 16], Operations: ['30-14=16'] Exploring Operation: 86-85=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 86-85=1 Current State: 15:[16, 1], Operations: ['30-14=16', '86-85=1'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 4, 3, 85, 38 ]
30
[ "85-3=82", "38+82=120", "120/4=30" ]
Current State: 30:[4, 3, 85, 38], Operations: [] Exploring Operation: 85-3=82, Resulting Numbers: [4, 38, 82] Generated Node #2: [4, 38, 82] from Operation: 85-3=82 Current State: 30:[4, 38, 82], Operations: ['85-3=82'] Exploring Operation: 38+82=120, Resulting Numbers: [4, 120] Generated Node #3: [4, 120] from Operation: 38+82=120 Current State: 30:[4, 120], Operations: ['85-3=82', '38+82=120'] Exploring Operation: 120/4=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 29, 50, 52, 47 ]
95
[ "52-47=5", "29*5=145", "145-50=95" ]
Current State: 95:[29, 50, 52, 47], Operations: [] Exploring Operation: 52-47=5, Resulting Numbers: [29, 50, 5] Generated Node #2: [29, 50, 5] from Operation: 52-47=5 Current State: 95:[29, 50, 5], Operations: ['52-47=5'] Exploring Operation: 29*5=145, Resulting Numbers: [50, 145] Generated Node #3: [50, 145] from Operation: 29*5=145 Current State: 95:[50, 145], Operations: ['52-47=5', '29*5=145'] Exploring Operation: 145-50=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 70, 2, 98, 55 ]
81
[ "70+2=72", "98+55=153", "153-72=81" ]
Current State: 81:[70, 2, 98, 55], Operations: [] Exploring Operation: 70+2=72, Resulting Numbers: [98, 55, 72] Generated Node #2: [98, 55, 72] from Operation: 70+2=72 Current State: 81:[98, 55, 72], Operations: ['70+2=72'] Exploring Operation: 98+55=153, Resulting Numbers: [72, 153] Generated Node #3: [72, 153] from Operation: 98+55=153 Current State: 81:[72, 153], Operations: ['70+2=72', '98+55=153'] Exploring Operation: 153-72=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 49, 78, 83, 73 ]
39
[ "78-49=29", "83-73=10", "29+10=39" ]
Current State: 39:[49, 78, 83, 73], Operations: [] Exploring Operation: 78-49=29, Resulting Numbers: [83, 73, 29] Generated Node #2: [83, 73, 29] from Operation: 78-49=29 Current State: 39:[83, 73, 29], Operations: ['78-49=29'] Exploring Operation: 83-73=10, Resulting Numbers: [29, 10] Generated Node #3: [29, 10] from Operation: 83-73=10 Current State: 39:[29, 10], Operations: ['78-49=29', '83-73=10'] Exploring Operation: 29+10=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 31, 4, 12, 62 ]
74
[ "31*4=124", "62-12=50", "124-50=74" ]
Current State: 74:[31, 4, 12, 62], Operations: [] Exploring Operation: 31*4=124, Resulting Numbers: [12, 62, 124] Generated Node #2: [12, 62, 124] from Operation: 31*4=124 Current State: 74:[12, 62, 124], Operations: ['31*4=124'] Exploring Operation: 62-12=50, Resulting Numbers: [124, 50] Generated Node #3: [124, 50] from Operation: 62-12=50 Current State: 74:[124, 50], Operations: ['31*4=124', '62-12=50'] Exploring Operation: 124-50=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 14, 23, 15, 69 ]
63
[ "23-14=9", "69-15=54", "9+54=63" ]
Current State: 63:[14, 23, 15, 69], Operations: [] Exploring Operation: 23-14=9, Resulting Numbers: [15, 69, 9] Generated Node #2: [15, 69, 9] from Operation: 23-14=9 Current State: 63:[15, 69, 9], Operations: ['23-14=9'] Exploring Operation: 69-15=54, Resulting Numbers: [9, 54] Generated Node #3: [9, 54] from Operation: 69-15=54 Current State: 63:[9, 54], Operations: ['23-14=9', '69-15=54'] Exploring Operation: 9+54=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 21, 96, 8, 10 ]
99
[ "21+96=117", "8+10=18", "117-18=99" ]
Current State: 99:[21, 96, 8, 10], Operations: [] Exploring Operation: 21+96=117, Resulting Numbers: [8, 10, 117] Generated Node #2: [8, 10, 117] from Operation: 21+96=117 Current State: 99:[8, 10, 117], Operations: ['21+96=117'] Exploring Operation: 8+10=18, Resulting Numbers: [117, 18] Generated Node #3: [117, 18] from Operation: 8+10=18 Current State: 99:[117, 18], Operations: ['21+96=117', '8+10=18'] Exploring Operation: 117-18=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 58, 40, 33, 14 ]
60
[ "40-33=7", "14/7=2", "58+2=60" ]
Current State: 60:[58, 40, 33, 14], Operations: [] Exploring Operation: 40-33=7, Resulting Numbers: [58, 14, 7] Generated Node #2: [58, 14, 7] from Operation: 40-33=7 Current State: 60:[58, 14, 7], Operations: ['40-33=7'] Exploring Operation: 14/7=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 14/7=2 Current State: 60:[58, 2], Operations: ['40-33=7', '14/7=2'] Exploring Operation: 58+2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 99, 14, 40, 98 ]
26
[ "99-98=1", "40-14=26", "1*26=26" ]
Current State: 26:[99, 14, 40, 98], Operations: [] Exploring Operation: 99-98=1, Resulting Numbers: [14, 40, 1] Generated Node #2: [14, 40, 1] from Operation: 99-98=1 Current State: 26:[14, 40, 1], Operations: ['99-98=1'] Exploring Operation: 40-14=26, Resulting Numbers: [1, 26] Generated Node #3: [1, 26] from Operation: 40-14=26 Current State: 26:[1, 26], Operations: ['99-98=1', '40-14=26'] Exploring Operation: 1*26=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 11, 1, 19, 58 ]
27
[ "11+1=12", "58-19=39", "39-12=27" ]
Current State: 27:[11, 1, 19, 58], Operations: [] Exploring Operation: 11+1=12, Resulting Numbers: [19, 58, 12] Generated Node #2: [19, 58, 12] from Operation: 11+1=12 Current State: 27:[19, 58, 12], Operations: ['11+1=12'] Exploring Operation: 58-19=39, Resulting Numbers: [12, 39] Generated Node #3: [12, 39] from Operation: 58-19=39 Current State: 27:[12, 39], Operations: ['11+1=12', '58-19=39'] Exploring Operation: 39-12=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 21, 29, 55, 73 ]
10
[ "29-21=8", "73-55=18", "18-8=10" ]
Current State: 10:[21, 29, 55, 73], Operations: [] Exploring Operation: 29-21=8, Resulting Numbers: [55, 73, 8] Generated Node #2: [55, 73, 8] from Operation: 29-21=8 Current State: 10:[55, 73, 8], Operations: ['29-21=8'] Exploring Operation: 73-55=18, Resulting Numbers: [8, 18] Generated Node #3: [8, 18] from Operation: 73-55=18 Current State: 10:[8, 18], Operations: ['29-21=8', '73-55=18'] Exploring Operation: 18-8=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 25, 18, 42, 90 ]
47
[ "25*18=450", "450/90=5", "42+5=47" ]
Current State: 47:[25, 18, 42, 90], Operations: [] Exploring Operation: 25*18=450, Resulting Numbers: [42, 90, 450] Generated Node #2: [42, 90, 450] from Operation: 25*18=450 Current State: 47:[42, 90, 450], Operations: ['25*18=450'] Exploring Operation: 450/90=5, Resulting Numbers: [42, 5] Generated Node #3: [42, 5] from Operation: 450/90=5 Current State: 47:[42, 5], Operations: ['25*18=450', '450/90=5'] Exploring Operation: 42+5=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 19, 45, 34, 94 ]
34
[ "45-19=26", "94-34=60", "60-26=34" ]
Current State: 34:[19, 45, 34, 94], Operations: [] Exploring Operation: 45-19=26, Resulting Numbers: [34, 94, 26] Generated Node #2: [34, 94, 26] from Operation: 45-19=26 Current State: 34:[34, 94, 26], Operations: ['45-19=26'] Exploring Operation: 94-34=60, Resulting Numbers: [26, 60] Generated Node #3: [26, 60] from Operation: 94-34=60 Current State: 34:[26, 60], Operations: ['45-19=26', '94-34=60'] Exploring Operation: 60-26=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 98, 71, 91, 10 ]
88
[ "98+71=169", "91-10=81", "169-81=88" ]
Current State: 88:[98, 71, 91, 10], Operations: [] Exploring Operation: 98+71=169, Resulting Numbers: [91, 10, 169] Generated Node #2: [91, 10, 169] from Operation: 98+71=169 Current State: 88:[91, 10, 169], Operations: ['98+71=169'] Exploring Operation: 91-10=81, Resulting Numbers: [169, 81] Generated Node #3: [169, 81] from Operation: 91-10=81 Current State: 88:[169, 81], Operations: ['98+71=169', '91-10=81'] Exploring Operation: 169-81=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 44, 15, 95, 56 ]
20
[ "44+15=59", "95-56=39", "59-39=20" ]
Current State: 20:[44, 15, 95, 56], Operations: [] Exploring Operation: 44+15=59, Resulting Numbers: [95, 56, 59] Generated Node #2: [95, 56, 59] from Operation: 44+15=59 Current State: 20:[95, 56, 59], Operations: ['44+15=59'] Exploring Operation: 95-56=39, Resulting Numbers: [59, 39] Generated Node #3: [59, 39] from Operation: 95-56=39 Current State: 20:[59, 39], Operations: ['44+15=59', '95-56=39'] Exploring Operation: 59-39=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 45, 86, 88, 14 ]
16
[ "88-45=43", "86/43=2", "14+2=16" ]
Current State: 16:[45, 86, 88, 14], Operations: [] Exploring Operation: 88-45=43, Resulting Numbers: [86, 14, 43] Generated Node #2: [86, 14, 43] from Operation: 88-45=43 Current State: 16:[86, 14, 43], Operations: ['88-45=43'] Exploring Operation: 86/43=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 86/43=2 Current State: 16:[14, 2], Operations: ['88-45=43', '86/43=2'] Exploring Operation: 14+2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 49, 46, 2, 51 ]
22
[ "49+46=95", "95-51=44", "44/2=22" ]
Current State: 22:[49, 46, 2, 51], Operations: [] Exploring Operation: 49+46=95, Resulting Numbers: [2, 51, 95] Generated Node #2: [2, 51, 95] from Operation: 49+46=95 Current State: 22:[2, 51, 95], Operations: ['49+46=95'] Exploring Operation: 95-51=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 95-51=44 Current State: 22:[2, 44], Operations: ['49+46=95', '95-51=44'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 55, 63, 88, 33 ]
47
[ "63-55=8", "88-33=55", "55-8=47" ]
Current State: 47:[55, 63, 88, 33], Operations: [] Exploring Operation: 63-55=8, Resulting Numbers: [88, 33, 8] Generated Node #2: [88, 33, 8] from Operation: 63-55=8 Current State: 47:[88, 33, 8], Operations: ['63-55=8'] Exploring Operation: 88-33=55, Resulting Numbers: [8, 55] Generated Node #3: [8, 55] from Operation: 88-33=55 Current State: 47:[8, 55], Operations: ['63-55=8', '88-33=55'] Exploring Operation: 55-8=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4