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
[ 8, 97, 69, 81 ]
61
[ "97-8=89", "69+81=150", "150-89=61" ]
Current State: 61:[8, 97, 69, 81], Operations: [] Exploring Operation: 97-8=89, Resulting Numbers: [69, 81, 89] Generated Node #2: [69, 81, 89] from Operation: 97-8=89 Current State: 61:[69, 81, 89], Operations: ['97-8=89'] Exploring Operation: 69+81=150, Resulting Numbers: [89, 150] Generated Node #3: [89, 150] from Operation: 69+81=150 Current State: 61:[89, 150], Operations: ['97-8=89', '69+81=150'] Exploring Operation: 150-89=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 9, 40, 44, 3 ]
25
[ "40-9=31", "44+31=75", "75/3=25" ]
Current State: 25:[9, 40, 44, 3], Operations: [] Exploring Operation: 40-9=31, Resulting Numbers: [44, 3, 31] Generated Node #2: [44, 3, 31] from Operation: 40-9=31 Current State: 25:[44, 3, 31], Operations: ['40-9=31'] Exploring Operation: 44+31=75, Resulting Numbers: [3, 75] Generated Node #3: [3, 75] from Operation: 44+31=75 Current State: 25:[3, 75], Operations: ['40-9=31', '44+31=75'] Exploring Operation: 75/3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 82, 3, 33, 65 ]
28
[ "82-65=17", "33/3=11", "17+11=28" ]
Current State: 28:[82, 3, 33, 65], Operations: [] Exploring Operation: 82-65=17, Resulting Numbers: [3, 33, 17] Generated Node #2: [3, 33, 17] from Operation: 82-65=17 Current State: 28:[3, 33, 17], Operations: ['82-65=17'] Exploring Operation: 33/3=11, Resulting Numbers: [17, 11] Generated Node #3: [17, 11] from Operation: 33/3=11 Current State: 28:[17, 11], Operations: ['82-65=17', '33/3=11'] Exploring Operation: 17+11=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 45, 7, 15, 55 ]
59
[ "45/15=3", "7+55=62", "62-3=59" ]
Current State: 59:[45, 7, 15, 55], Operations: [] Exploring Operation: 45/15=3, Resulting Numbers: [7, 55, 3] Generated Node #2: [7, 55, 3] from Operation: 45/15=3 Current State: 59:[7, 55, 3], Operations: ['45/15=3'] Exploring Operation: 7+55=62, Resulting Numbers: [3, 62] Generated Node #3: [3, 62] from Operation: 7+55=62 Current State: 59:[3, 62], Operations: ['45/15=3', '7+55=62'] Exploring Operation: 62-3=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 46, 92, 23, 17 ]
68
[ "46-23=23", "92*17=1564", "1564/23=68" ]
Current State: 68:[46, 92, 23, 17], Operations: [] Exploring Operation: 46-23=23, Resulting Numbers: [92, 17, 23] Generated Node #2: [92, 17, 23] from Operation: 46-23=23 Current State: 68:[92, 17, 23], Operations: ['46-23=23'] Exploring Operation: 92*17=1564, Resulting Numbers: [23, 1564] Generated Node #3: [23, 1564] from Operation: 92*17=1564 Current State: 68:[23, 1564], Operations: ['46-23=23', '92*17=1564'] Exploring Operation: 1564/23=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 16, 81, 87, 8 ]
18
[ "16+81=97", "87-8=79", "97-79=18" ]
Current State: 18:[16, 81, 87, 8], Operations: [] Exploring Operation: 16+81=97, Resulting Numbers: [87, 8, 97] Generated Node #2: [87, 8, 97] from Operation: 16+81=97 Current State: 18:[87, 8, 97], Operations: ['16+81=97'] Exploring Operation: 87-8=79, Resulting Numbers: [97, 79] Generated Node #3: [97, 79] from Operation: 87-8=79 Current State: 18:[97, 79], Operations: ['16+81=97', '87-8=79'] Exploring Operation: 97-79=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 41, 35, 2, 93 ]
46
[ "41*2=82", "35+93=128", "128-82=46" ]
Current State: 46:[41, 35, 2, 93], Operations: [] Exploring Operation: 41*2=82, Resulting Numbers: [35, 93, 82] Generated Node #2: [35, 93, 82] from Operation: 41*2=82 Current State: 46:[35, 93, 82], Operations: ['41*2=82'] Exploring Operation: 35+93=128, Resulting Numbers: [82, 128] Generated Node #3: [82, 128] from Operation: 35+93=128 Current State: 46:[82, 128], Operations: ['41*2=82', '35+93=128'] Exploring Operation: 128-82=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 75, 27, 59, 91 ]
29
[ "59+91=150", "150/75=2", "27+2=29" ]
Current State: 29:[75, 27, 59, 91], Operations: [] Exploring Operation: 59+91=150, Resulting Numbers: [75, 27, 150] Generated Node #2: [75, 27, 150] from Operation: 59+91=150 Current State: 29:[75, 27, 150], Operations: ['59+91=150'] Exploring Operation: 150/75=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 150/75=2 Current State: 29:[27, 2], Operations: ['59+91=150', '150/75=2'] Exploring Operation: 27+2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 94, 25, 37, 99 ]
92
[ "99-25=74", "74/37=2", "94-2=92" ]
Current State: 92:[94, 25, 37, 99], Operations: [] Exploring Operation: 99-25=74, Resulting Numbers: [94, 37, 74] Generated Node #2: [94, 37, 74] from Operation: 99-25=74 Current State: 92:[94, 37, 74], Operations: ['99-25=74'] Exploring Operation: 74/37=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 74/37=2 Current State: 92:[94, 2], Operations: ['99-25=74', '74/37=2'] Exploring Operation: 94-2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 28, 70, 58, 72 ]
32
[ "28+70=98", "58+72=130", "130-98=32" ]
Current State: 32:[28, 70, 58, 72], Operations: [] Exploring Operation: 28+70=98, Resulting Numbers: [58, 72, 98] Generated Node #2: [58, 72, 98] from Operation: 28+70=98 Current State: 32:[58, 72, 98], Operations: ['28+70=98'] Exploring Operation: 58+72=130, Resulting Numbers: [98, 130] Generated Node #3: [98, 130] from Operation: 58+72=130 Current State: 32:[98, 130], Operations: ['28+70=98', '58+72=130'] Exploring Operation: 130-98=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 51, 8, 31, 12 ]
80
[ "51-31=20", "12-8=4", "20*4=80" ]
Current State: 80:[51, 8, 31, 12], Operations: [] Exploring Operation: 51-31=20, Resulting Numbers: [8, 12, 20] Generated Node #2: [8, 12, 20] from Operation: 51-31=20 Current State: 80:[8, 12, 20], Operations: ['51-31=20'] Exploring Operation: 12-8=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 12-8=4 Current State: 80:[20, 4], Operations: ['51-31=20', '12-8=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 71, 63, 64, 14 ]
65
[ "71-64=7", "14/7=2", "63+2=65" ]
Current State: 65:[71, 63, 64, 14], Operations: [] Exploring Operation: 71-64=7, Resulting Numbers: [63, 14, 7] Generated Node #2: [63, 14, 7] from Operation: 71-64=7 Current State: 65:[63, 14, 7], Operations: ['71-64=7'] Exploring Operation: 14/7=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 14/7=2 Current State: 65:[63, 2], Operations: ['71-64=7', '14/7=2'] Exploring Operation: 63+2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 11, 51, 20, 67 ]
69
[ "51-11=40", "40/20=2", "67+2=69" ]
Current State: 69:[11, 51, 20, 67], Operations: [] Exploring Operation: 51-11=40, Resulting Numbers: [20, 67, 40] Generated Node #2: [20, 67, 40] from Operation: 51-11=40 Current State: 69:[20, 67, 40], Operations: ['51-11=40'] Exploring Operation: 40/20=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 40/20=2 Current State: 69:[67, 2], Operations: ['51-11=40', '40/20=2'] Exploring Operation: 67+2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 58, 69, 44, 71 ]
75
[ "69-58=11", "44/11=4", "71+4=75" ]
Current State: 75:[58, 69, 44, 71], Operations: [] Exploring Operation: 69-58=11, Resulting Numbers: [44, 71, 11] Generated Node #2: [44, 71, 11] from Operation: 69-58=11 Current State: 75:[44, 71, 11], Operations: ['69-58=11'] Exploring Operation: 44/11=4, Resulting Numbers: [71, 4] Generated Node #3: [71, 4] from Operation: 44/11=4 Current State: 75:[71, 4], Operations: ['69-58=11', '44/11=4'] Exploring Operation: 71+4=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 97, 44, 40, 55 ]
88
[ "97-40=57", "57-55=2", "44*2=88" ]
Current State: 88:[97, 44, 40, 55], Operations: [] Exploring Operation: 97-40=57, Resulting Numbers: [44, 55, 57] Generated Node #2: [44, 55, 57] from Operation: 97-40=57 Current State: 88:[44, 55, 57], Operations: ['97-40=57'] Exploring Operation: 57-55=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 57-55=2 Current State: 88:[44, 2], Operations: ['97-40=57', '57-55=2'] Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 78, 85, 23, 33 ]
17
[ "85-78=7", "33-23=10", "7+10=17" ]
Current State: 17:[78, 85, 23, 33], Operations: [] Exploring Operation: 85-78=7, Resulting Numbers: [23, 33, 7] Generated Node #2: [23, 33, 7] from Operation: 85-78=7 Current State: 17:[23, 33, 7], Operations: ['85-78=7'] Exploring Operation: 33-23=10, Resulting Numbers: [7, 10] Generated Node #3: [7, 10] from Operation: 33-23=10 Current State: 17:[7, 10], Operations: ['85-78=7', '33-23=10'] Exploring Operation: 7+10=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 27, 95, 47, 3 ]
24
[ "95-27=68", "47-3=44", "68-44=24" ]
Current State: 24:[27, 95, 47, 3], Operations: [] Exploring Operation: 95-27=68, Resulting Numbers: [47, 3, 68] Generated Node #2: [47, 3, 68] from Operation: 95-27=68 Current State: 24:[47, 3, 68], Operations: ['95-27=68'] Exploring Operation: 47-3=44, Resulting Numbers: [68, 44] Generated Node #3: [68, 44] from Operation: 47-3=44 Current State: 24:[68, 44], Operations: ['95-27=68', '47-3=44'] Exploring Operation: 68-44=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 63, 86, 76, 82 ]
17
[ "86-63=23", "82-76=6", "23-6=17" ]
Current State: 17:[63, 86, 76, 82], Operations: [] Exploring Operation: 86-63=23, Resulting Numbers: [76, 82, 23] Generated Node #2: [76, 82, 23] from Operation: 86-63=23 Current State: 17:[76, 82, 23], Operations: ['86-63=23'] Exploring Operation: 82-76=6, Resulting Numbers: [23, 6] Generated Node #3: [23, 6] from Operation: 82-76=6 Current State: 17:[23, 6], Operations: ['86-63=23', '82-76=6'] Exploring Operation: 23-6=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 18, 13, 32, 29 ]
21
[ "32-29=3", "13*3=39", "39-18=21" ]
Current State: 21:[18, 13, 32, 29], Operations: [] Exploring Operation: 32-29=3, Resulting Numbers: [18, 13, 3] Generated Node #2: [18, 13, 3] from Operation: 32-29=3 Current State: 21:[18, 13, 3], Operations: ['32-29=3'] Exploring Operation: 13*3=39, Resulting Numbers: [18, 39] Generated Node #3: [18, 39] from Operation: 13*3=39 Current State: 21:[18, 39], Operations: ['32-29=3', '13*3=39'] Exploring Operation: 39-18=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 72, 82, 80, 12 ]
12
[ "72/12=6", "82-80=2", "6*2=12" ]
Current State: 12:[72, 82, 80, 12], Operations: [] Exploring Operation: 72/12=6, Resulting Numbers: [82, 80, 6] Generated Node #2: [82, 80, 6] from Operation: 72/12=6 Current State: 12:[82, 80, 6], Operations: ['72/12=6'] Exploring Operation: 82-80=2, Resulting Numbers: [6, 2] Generated Node #3: [6, 2] from Operation: 82-80=2 Current State: 12:[6, 2], Operations: ['72/12=6', '82-80=2'] Exploring Operation: 6*2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 34, 35, 83, 58 ]
26
[ "35-34=1", "83-58=25", "1+25=26" ]
Current State: 26:[34, 35, 83, 58], Operations: [] Exploring Operation: 35-34=1, Resulting Numbers: [83, 58, 1] Generated Node #2: [83, 58, 1] from Operation: 35-34=1 Current State: 26:[83, 58, 1], Operations: ['35-34=1'] Exploring Operation: 83-58=25, Resulting Numbers: [1, 25] Generated Node #3: [1, 25] from Operation: 83-58=25 Current State: 26:[1, 25], Operations: ['35-34=1', '83-58=25'] Exploring Operation: 1+25=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 35, 53, 20, 3 ]
65
[ "35+53=88", "20+3=23", "88-23=65" ]
Current State: 65:[35, 53, 20, 3], Operations: [] Exploring Operation: 35+53=88, Resulting Numbers: [20, 3, 88] Generated Node #2: [20, 3, 88] from Operation: 35+53=88 Current State: 65:[20, 3, 88], Operations: ['35+53=88'] Exploring Operation: 20+3=23, Resulting Numbers: [88, 23] Generated Node #3: [88, 23] from Operation: 20+3=23 Current State: 65:[88, 23], Operations: ['35+53=88', '20+3=23'] Exploring Operation: 88-23=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 15, 40, 18, 14 ]
87
[ "15+40=55", "18+14=32", "55+32=87" ]
Current State: 87:[15, 40, 18, 14], Operations: [] Exploring Operation: 15+40=55, Resulting Numbers: [18, 14, 55] Generated Node #2: [18, 14, 55] from Operation: 15+40=55 Current State: 87:[18, 14, 55], Operations: ['15+40=55'] Exploring Operation: 18+14=32, Resulting Numbers: [55, 32] Generated Node #3: [55, 32] from Operation: 18+14=32 Current State: 87:[55, 32], Operations: ['15+40=55', '18+14=32'] Exploring Operation: 55+32=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 15, 76, 50, 40 ]
74
[ "40-15=25", "50/25=2", "76-2=74" ]
Current State: 74:[15, 76, 50, 40], Operations: [] Exploring Operation: 40-15=25, Resulting Numbers: [76, 50, 25] Generated Node #2: [76, 50, 25] from Operation: 40-15=25 Current State: 74:[76, 50, 25], Operations: ['40-15=25'] Exploring Operation: 50/25=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 50/25=2 Current State: 74:[76, 2], Operations: ['40-15=25', '50/25=2'] Exploring Operation: 76-2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 10, 5, 24, 95 ]
47
[ "10/5=2", "24*2=48", "95-48=47" ]
Current State: 47:[10, 5, 24, 95], Operations: [] Exploring Operation: 10/5=2, Resulting Numbers: [24, 95, 2] Generated Node #2: [24, 95, 2] from Operation: 10/5=2 Current State: 47:[24, 95, 2], Operations: ['10/5=2'] Exploring Operation: 24*2=48, Resulting Numbers: [95, 48] Generated Node #3: [95, 48] from Operation: 24*2=48 Current State: 47:[95, 48], Operations: ['10/5=2', '24*2=48'] Exploring Operation: 95-48=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 46, 48, 5, 15 ]
91
[ "46+48=94", "15/5=3", "94-3=91" ]
Current State: 91:[46, 48, 5, 15], Operations: [] Exploring Operation: 46+48=94, Resulting Numbers: [5, 15, 94] Generated Node #2: [5, 15, 94] from Operation: 46+48=94 Current State: 91:[5, 15, 94], Operations: ['46+48=94'] Exploring Operation: 15/5=3, Resulting Numbers: [94, 3] Generated Node #3: [94, 3] from Operation: 15/5=3 Current State: 91:[94, 3], Operations: ['46+48=94', '15/5=3'] Exploring Operation: 94-3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 10, 34, 72, 49 ]
48
[ "10*72=720", "49-34=15", "720/15=48" ]
Current State: 48:[10, 34, 72, 49], Operations: [] Exploring Operation: 10*72=720, Resulting Numbers: [34, 49, 720] Generated Node #2: [34, 49, 720] from Operation: 10*72=720 Current State: 48:[34, 49, 720], Operations: ['10*72=720'] Exploring Operation: 49-34=15, Resulting Numbers: [720, 15] Generated Node #3: [720, 15] from Operation: 49-34=15 Current State: 48:[720, 15], Operations: ['10*72=720', '49-34=15'] Exploring Operation: 720/15=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 67, 72, 2, 19 ]
22
[ "72-67=5", "19-2=17", "5+17=22" ]
Current State: 22:[67, 72, 2, 19], Operations: [] Exploring Operation: 72-67=5, Resulting Numbers: [2, 19, 5] Generated Node #2: [2, 19, 5] from Operation: 72-67=5 Current State: 22:[2, 19, 5], Operations: ['72-67=5'] Exploring Operation: 19-2=17, Resulting Numbers: [5, 17] Generated Node #3: [5, 17] from Operation: 19-2=17 Current State: 22:[5, 17], Operations: ['72-67=5', '19-2=17'] Exploring Operation: 5+17=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 45, 45, 37, 36 ]
90
[ "45+45=90", "37-36=1", "90*1=90" ]
Current State: 90:[45, 45, 37, 36], Operations: [] Exploring Operation: 45+45=90, Resulting Numbers: [37, 36, 90] Generated Node #2: [37, 36, 90] from Operation: 45+45=90 Current State: 90:[37, 36, 90], Operations: ['45+45=90'] Exploring Operation: 37-36=1, Resulting Numbers: [90, 1] Generated Node #3: [90, 1] from Operation: 37-36=1 Current State: 90:[90, 1], Operations: ['45+45=90', '37-36=1'] Exploring Operation: 90*1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 6, 32, 58, 87 ]
85
[ "6+58=64", "64/32=2", "87-2=85" ]
Current State: 85:[6, 32, 58, 87], Operations: [] Exploring Operation: 6+58=64, Resulting Numbers: [32, 87, 64] Generated Node #2: [32, 87, 64] from Operation: 6+58=64 Current State: 85:[32, 87, 64], Operations: ['6+58=64'] Exploring Operation: 64/32=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 64/32=2 Current State: 85:[87, 2], Operations: ['6+58=64', '64/32=2'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 22, 40, 69, 25 ]
76
[ "40-22=18", "69+25=94", "94-18=76" ]
Current State: 76:[22, 40, 69, 25], Operations: [] Exploring Operation: 40-22=18, Resulting Numbers: [69, 25, 18] Generated Node #2: [69, 25, 18] from Operation: 40-22=18 Current State: 76:[69, 25, 18], Operations: ['40-22=18'] Exploring Operation: 69+25=94, Resulting Numbers: [18, 94] Generated Node #3: [18, 94] from Operation: 69+25=94 Current State: 76:[18, 94], Operations: ['40-22=18', '69+25=94'] Exploring Operation: 94-18=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 2, 77, 20, 59 ]
75
[ "2*77=154", "20+59=79", "154-79=75" ]
Current State: 75:[2, 77, 20, 59], Operations: [] Exploring Operation: 2*77=154, Resulting Numbers: [20, 59, 154] Generated Node #2: [20, 59, 154] from Operation: 2*77=154 Current State: 75:[20, 59, 154], Operations: ['2*77=154'] Exploring Operation: 20+59=79, Resulting Numbers: [154, 79] Generated Node #3: [154, 79] from Operation: 20+59=79 Current State: 75:[154, 79], Operations: ['2*77=154', '20+59=79'] Exploring Operation: 154-79=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 81, 27, 38, 2 ]
43
[ "81/27=3", "38+2=40", "3+40=43" ]
Current State: 43:[81, 27, 38, 2], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [38, 2, 3] Generated Node #2: [38, 2, 3] from Operation: 81/27=3 Current State: 43:[38, 2, 3], Operations: ['81/27=3'] Exploring Operation: 38+2=40, Resulting Numbers: [3, 40] Generated Node #3: [3, 40] from Operation: 38+2=40 Current State: 43:[3, 40], Operations: ['81/27=3', '38+2=40'] Exploring Operation: 3+40=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 38, 6, 14, 76 ]
94
[ "38-6=32", "76-14=62", "32+62=94" ]
Current State: 94:[38, 6, 14, 76], Operations: [] Exploring Operation: 38-6=32, Resulting Numbers: [14, 76, 32] Generated Node #2: [14, 76, 32] from Operation: 38-6=32 Current State: 94:[14, 76, 32], Operations: ['38-6=32'] Exploring Operation: 76-14=62, Resulting Numbers: [32, 62] Generated Node #3: [32, 62] from Operation: 76-14=62 Current State: 94:[32, 62], Operations: ['38-6=32', '76-14=62'] Exploring Operation: 32+62=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 51, 31, 29, 87 ]
69
[ "51+87=138", "31-29=2", "138/2=69" ]
Current State: 69:[51, 31, 29, 87], Operations: [] Exploring Operation: 51+87=138, Resulting Numbers: [31, 29, 138] Generated Node #2: [31, 29, 138] from Operation: 51+87=138 Current State: 69:[31, 29, 138], Operations: ['51+87=138'] Exploring Operation: 31-29=2, Resulting Numbers: [138, 2] Generated Node #3: [138, 2] from Operation: 31-29=2 Current State: 69:[138, 2], Operations: ['51+87=138', '31-29=2'] Exploring Operation: 138/2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 84, 66, 10, 33 ]
47
[ "84+10=94", "66/33=2", "94/2=47" ]
Current State: 47:[84, 66, 10, 33], Operations: [] Exploring Operation: 84+10=94, Resulting Numbers: [66, 33, 94] Generated Node #2: [66, 33, 94] from Operation: 84+10=94 Current State: 47:[66, 33, 94], Operations: ['84+10=94'] Exploring Operation: 66/33=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 66/33=2 Current State: 47:[94, 2], Operations: ['84+10=94', '66/33=2'] Exploring Operation: 94/2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 11, 12, 3, 20 ]
35
[ "11+20=31", "12/3=4", "31+4=35" ]
Current State: 35:[11, 12, 3, 20], Operations: [] Exploring Operation: 11+20=31, Resulting Numbers: [12, 3, 31] Generated Node #2: [12, 3, 31] from Operation: 11+20=31 Current State: 35:[12, 3, 31], Operations: ['11+20=31'] Exploring Operation: 12/3=4, Resulting Numbers: [31, 4] Generated Node #3: [31, 4] from Operation: 12/3=4 Current State: 35:[31, 4], Operations: ['11+20=31', '12/3=4'] Exploring Operation: 31+4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 45, 25, 82, 23 ]
39
[ "45-25=20", "82-23=59", "59-20=39" ]
Current State: 39:[45, 25, 82, 23], Operations: [] Exploring Operation: 45-25=20, Resulting Numbers: [82, 23, 20] Generated Node #2: [82, 23, 20] from Operation: 45-25=20 Current State: 39:[82, 23, 20], Operations: ['45-25=20'] Exploring Operation: 82-23=59, Resulting Numbers: [20, 59] Generated Node #3: [20, 59] from Operation: 82-23=59 Current State: 39:[20, 59], Operations: ['45-25=20', '82-23=59'] Exploring Operation: 59-20=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 20, 78, 75, 35 ]
45
[ "35-20=15", "78-75=3", "15*3=45" ]
Current State: 45:[20, 78, 75, 35], Operations: [] Exploring Operation: 35-20=15, Resulting Numbers: [78, 75, 15] Generated Node #2: [78, 75, 15] from Operation: 35-20=15 Current State: 45:[78, 75, 15], Operations: ['35-20=15'] Exploring Operation: 78-75=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 78-75=3 Current State: 45:[15, 3], Operations: ['35-20=15', '78-75=3'] Exploring Operation: 15*3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 90, 35, 36, 18 ]
32
[ "90-36=54", "54/18=3", "35-3=32" ]
Current State: 32:[90, 35, 36, 18], Operations: [] Exploring Operation: 90-36=54, Resulting Numbers: [35, 18, 54] Generated Node #2: [35, 18, 54] from Operation: 90-36=54 Current State: 32:[35, 18, 54], Operations: ['90-36=54'] Exploring Operation: 54/18=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 54/18=3 Current State: 32:[35, 3], Operations: ['90-36=54', '54/18=3'] Exploring Operation: 35-3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 66, 22, 11, 33 ]
67
[ "22+11=33", "33/33=1", "66+1=67" ]
Current State: 67:[66, 22, 11, 33], Operations: [] Exploring Operation: 22+11=33, Resulting Numbers: [66, 33, 33] Generated Node #2: [66, 33, 33] from Operation: 22+11=33 Current State: 67:[66, 33, 33], Operations: ['22+11=33'] Exploring Operation: 33/33=1, Resulting Numbers: [66, 1] Generated Node #3: [66, 1] from Operation: 33/33=1 Current State: 67:[66, 1], Operations: ['22+11=33', '33/33=1'] Exploring Operation: 66+1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 37, 4, 51, 42 ]
55
[ "37*4=148", "51+42=93", "148-93=55" ]
Current State: 55:[37, 4, 51, 42], Operations: [] Exploring Operation: 37*4=148, Resulting Numbers: [51, 42, 148] Generated Node #2: [51, 42, 148] from Operation: 37*4=148 Current State: 55:[51, 42, 148], Operations: ['37*4=148'] Exploring Operation: 51+42=93, Resulting Numbers: [148, 93] Generated Node #3: [148, 93] from Operation: 51+42=93 Current State: 55:[148, 93], Operations: ['37*4=148', '51+42=93'] Exploring Operation: 148-93=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 4, 36, 72, 43 ]
69
[ "4+36=40", "72-43=29", "40+29=69" ]
Current State: 69:[4, 36, 72, 43], Operations: [] Exploring Operation: 4+36=40, Resulting Numbers: [72, 43, 40] Generated Node #2: [72, 43, 40] from Operation: 4+36=40 Current State: 69:[72, 43, 40], Operations: ['4+36=40'] Exploring Operation: 72-43=29, Resulting Numbers: [40, 29] Generated Node #3: [40, 29] from Operation: 72-43=29 Current State: 69:[40, 29], Operations: ['4+36=40', '72-43=29'] Exploring Operation: 40+29=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 4, 56, 81, 31 ]
14
[ "81-56=25", "31+25=56", "56/4=14" ]
Current State: 14:[4, 56, 81, 31], Operations: [] Exploring Operation: 81-56=25, Resulting Numbers: [4, 31, 25] Generated Node #2: [4, 31, 25] from Operation: 81-56=25 Current State: 14:[4, 31, 25], Operations: ['81-56=25'] Exploring Operation: 31+25=56, Resulting Numbers: [4, 56] Generated Node #3: [4, 56] from Operation: 31+25=56 Current State: 14:[4, 56], Operations: ['81-56=25', '31+25=56'] Exploring Operation: 56/4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 73, 95, 49, 14 ]
41
[ "95-73=22", "49+14=63", "63-22=41" ]
Current State: 41:[73, 95, 49, 14], Operations: [] Exploring Operation: 95-73=22, Resulting Numbers: [49, 14, 22] Generated Node #2: [49, 14, 22] from Operation: 95-73=22 Current State: 41:[49, 14, 22], Operations: ['95-73=22'] Exploring Operation: 49+14=63, Resulting Numbers: [22, 63] Generated Node #3: [22, 63] from Operation: 49+14=63 Current State: 41:[22, 63], Operations: ['95-73=22', '49+14=63'] Exploring Operation: 63-22=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 65, 2, 16, 14 ]
84
[ "65-16=49", "2*49=98", "98-14=84" ]
Current State: 84:[65, 2, 16, 14], Operations: [] Exploring Operation: 65-16=49, Resulting Numbers: [2, 14, 49] Generated Node #2: [2, 14, 49] from Operation: 65-16=49 Current State: 84:[2, 14, 49], Operations: ['65-16=49'] Exploring Operation: 2*49=98, Resulting Numbers: [14, 98] Generated Node #3: [14, 98] from Operation: 2*49=98 Current State: 84:[14, 98], Operations: ['65-16=49', '2*49=98'] Exploring Operation: 98-14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 13, 23, 7, 18 ]
52
[ "23-13=10", "7*10=70", "70-18=52" ]
Current State: 52:[13, 23, 7, 18], Operations: [] Exploring Operation: 23-13=10, Resulting Numbers: [7, 18, 10] Generated Node #2: [7, 18, 10] from Operation: 23-13=10 Current State: 52:[7, 18, 10], Operations: ['23-13=10'] Exploring Operation: 7*10=70, Resulting Numbers: [18, 70] Generated Node #3: [18, 70] from Operation: 7*10=70 Current State: 52:[18, 70], Operations: ['23-13=10', '7*10=70'] Exploring Operation: 70-18=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 31, 87, 35, 81 ]
42
[ "35-31=4", "87+81=168", "168/4=42" ]
Current State: 42:[31, 87, 35, 81], Operations: [] Exploring Operation: 35-31=4, Resulting Numbers: [87, 81, 4] Generated Node #2: [87, 81, 4] from Operation: 35-31=4 Current State: 42:[87, 81, 4], Operations: ['35-31=4'] Exploring Operation: 87+81=168, Resulting Numbers: [4, 168] Generated Node #3: [4, 168] from Operation: 87+81=168 Current State: 42:[4, 168], Operations: ['35-31=4', '87+81=168'] Exploring Operation: 168/4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 44, 12, 59, 7 ]
51
[ "44+12=56", "56/7=8", "59-8=51" ]
Current State: 51:[44, 12, 59, 7], Operations: [] Exploring Operation: 44+12=56, Resulting Numbers: [59, 7, 56] Generated Node #2: [59, 7, 56] from Operation: 44+12=56 Current State: 51:[59, 7, 56], Operations: ['44+12=56'] Exploring Operation: 56/7=8, Resulting Numbers: [59, 8] Generated Node #3: [59, 8] from Operation: 56/7=8 Current State: 51:[59, 8], Operations: ['44+12=56', '56/7=8'] Exploring Operation: 59-8=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 68, 3, 51, 72 ]
50
[ "68+3=71", "72-51=21", "71-21=50" ]
Current State: 50:[68, 3, 51, 72], Operations: [] Exploring Operation: 68+3=71, Resulting Numbers: [51, 72, 71] Generated Node #2: [51, 72, 71] from Operation: 68+3=71 Current State: 50:[51, 72, 71], Operations: ['68+3=71'] Exploring Operation: 72-51=21, Resulting Numbers: [71, 21] Generated Node #3: [71, 21] from Operation: 72-51=21 Current State: 50:[71, 21], Operations: ['68+3=71', '72-51=21'] Exploring Operation: 71-21=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 24, 34, 57, 40 ]
87
[ "34-24=10", "57+40=97", "97-10=87" ]
Current State: 87:[24, 34, 57, 40], Operations: [] Exploring Operation: 34-24=10, Resulting Numbers: [57, 40, 10] Generated Node #2: [57, 40, 10] from Operation: 34-24=10 Current State: 87:[57, 40, 10], Operations: ['34-24=10'] Exploring Operation: 57+40=97, Resulting Numbers: [10, 97] Generated Node #3: [10, 97] from Operation: 57+40=97 Current State: 87:[10, 97], Operations: ['34-24=10', '57+40=97'] Exploring Operation: 97-10=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 35, 77, 20, 27 ]
65
[ "35+77=112", "20+27=47", "112-47=65" ]
Current State: 65:[35, 77, 20, 27], Operations: [] Exploring Operation: 35+77=112, Resulting Numbers: [20, 27, 112] Generated Node #2: [20, 27, 112] from Operation: 35+77=112 Current State: 65:[20, 27, 112], Operations: ['35+77=112'] Exploring Operation: 20+27=47, Resulting Numbers: [112, 47] Generated Node #3: [112, 47] from Operation: 20+27=47 Current State: 65:[112, 47], Operations: ['35+77=112', '20+27=47'] Exploring Operation: 112-47=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 55, 59, 72, 48 ]
30
[ "59-55=4", "72+48=120", "120/4=30" ]
Current State: 30:[55, 59, 72, 48], Operations: [] Exploring Operation: 59-55=4, Resulting Numbers: [72, 48, 4] Generated Node #2: [72, 48, 4] from Operation: 59-55=4 Current State: 30:[72, 48, 4], Operations: ['59-55=4'] Exploring Operation: 72+48=120, Resulting Numbers: [4, 120] Generated Node #3: [4, 120] from Operation: 72+48=120 Current State: 30:[4, 120], Operations: ['59-55=4', '72+48=120'] Exploring Operation: 120/4=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 3, 3, 96, 3 ]
78
[ "3+3=6", "3*6=18", "96-18=78" ]
Current State: 78:[3, 3, 96, 3], Operations: [] Exploring Operation: 3+3=6, Resulting Numbers: [96, 6] Generated Node #2: [96, 6] from Operation: 3+3=6 Current State: 78:[96, 6], Operations: ['3+3=6'] Exploring Operation: 3*6=18, Resulting Numbers: [96, 18] Generated Node #3: [96, 18] from Operation: 3*6=18 Current State: 78:[96, 18], Operations: ['3+3=6', '3*6=18'] Exploring Operation: 96-18=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 72, 15, 23, 23 ]
86
[ "72+15=87", "23/23=1", "87-1=86" ]
Current State: 86:[72, 15, 23, 23], Operations: [] Exploring Operation: 72+15=87, Resulting Numbers: [23, 23, 87] Generated Node #2: [23, 23, 87] from Operation: 72+15=87 Current State: 86:[23, 23, 87], Operations: ['72+15=87'] Exploring Operation: 23/23=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 23/23=1 Current State: 86:[87, 1], Operations: ['72+15=87', '23/23=1'] Exploring Operation: 87-1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 95, 32, 7, 7 ]
10
[ "95-32=63", "7+63=70", "70/7=10" ]
Current State: 10:[95, 32, 7, 7], Operations: [] Exploring Operation: 95-32=63, Resulting Numbers: [7, 7, 63] Generated Node #2: [7, 7, 63] from Operation: 95-32=63 Current State: 10:[7, 7, 63], Operations: ['95-32=63'] Exploring Operation: 7+63=70, Resulting Numbers: [70] 70,10 equal: Goal Reached Exploring Operation: 70/7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 50, 16, 17, 26 ]
77
[ "50-16=34", "17+26=43", "34+43=77" ]
Current State: 77:[50, 16, 17, 26], Operations: [] Exploring Operation: 50-16=34, Resulting Numbers: [17, 26, 34] Generated Node #2: [17, 26, 34] from Operation: 50-16=34 Current State: 77:[17, 26, 34], Operations: ['50-16=34'] Exploring Operation: 17+26=43, Resulting Numbers: [34, 43] Generated Node #3: [34, 43] from Operation: 17+26=43 Current State: 77:[34, 43], Operations: ['50-16=34', '17+26=43'] Exploring Operation: 34+43=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 3, 38, 10, 2 ]
24
[ "10-3=7", "2*7=14", "38-14=24" ]
Current State: 24:[3, 38, 10, 2], Operations: [] Exploring Operation: 10-3=7, Resulting Numbers: [38, 2, 7] Generated Node #2: [38, 2, 7] from Operation: 10-3=7 Current State: 24:[38, 2, 7], Operations: ['10-3=7'] Exploring Operation: 2*7=14, Resulting Numbers: [38, 14] Generated Node #3: [38, 14] from Operation: 2*7=14 Current State: 24:[38, 14], Operations: ['10-3=7', '2*7=14'] Exploring Operation: 38-14=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 3, 6, 72, 7 ]
97
[ "3*6=18", "72+7=79", "18+79=97" ]
Current State: 97:[3, 6, 72, 7], Operations: [] Exploring Operation: 3*6=18, Resulting Numbers: [72, 7, 18] Generated Node #2: [72, 7, 18] from Operation: 3*6=18 Current State: 97:[72, 7, 18], Operations: ['3*6=18'] Exploring Operation: 72+7=79, Resulting Numbers: [18, 79] Generated Node #3: [18, 79] from Operation: 72+7=79 Current State: 97:[18, 79], Operations: ['3*6=18', '72+7=79'] Exploring Operation: 18+79=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 71, 99, 26, 17 ]
62
[ "99*17=1683", "1683-71=1612", "1612/26=62" ]
Current State: 62:[71, 99, 26, 17], Operations: [] Exploring Operation: 99*17=1683, Resulting Numbers: [71, 26, 1683] Generated Node #2: [71, 26, 1683] from Operation: 99*17=1683 Current State: 62:[71, 26, 1683], Operations: ['99*17=1683'] Exploring Operation: 1683-71=1612, Resulting Numbers: [26, 1612] Generated Node #3: [26, 1612] from Operation: 1683-71=1612 Current State: 62:[26, 1612], Operations: ['99*17=1683', '1683-71=1612'] Exploring Operation: 1612/26=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 83, 84, 2, 49 ]
49
[ "84-83=1", "2-1=1", "49*1=49" ]
Current State: 49:[83, 84, 2, 49], Operations: [] Exploring Operation: 84-83=1, Resulting Numbers: [2, 49, 1] Generated Node #2: [2, 49, 1] from Operation: 84-83=1 Current State: 49:[2, 49, 1], Operations: ['84-83=1'] Exploring Operation: 2-1=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 2-1=1 Current State: 49:[49, 1], Operations: ['84-83=1', '2-1=1'] Exploring Operation: 49*1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 44, 12, 20, 16 ]
41
[ "20+16=36", "36/12=3", "44-3=41" ]
Current State: 41:[44, 12, 20, 16], Operations: [] Exploring Operation: 20+16=36, Resulting Numbers: [44, 12, 36] Generated Node #2: [44, 12, 36] from Operation: 20+16=36 Current State: 41:[44, 12, 36], Operations: ['20+16=36'] Exploring Operation: 36/12=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 36/12=3 Current State: 41:[44, 3], Operations: ['20+16=36', '36/12=3'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 88, 76, 33, 99 ]
11
[ "88-76=12", "33+99=132", "132/12=11" ]
Current State: 11:[88, 76, 33, 99], Operations: [] Exploring Operation: 88-76=12, Resulting Numbers: [33, 99, 12] Generated Node #2: [33, 99, 12] from Operation: 88-76=12 Current State: 11:[33, 99, 12], Operations: ['88-76=12'] Exploring Operation: 33+99=132, Resulting Numbers: [12, 132] Generated Node #3: [12, 132] from Operation: 33+99=132 Current State: 11:[12, 132], Operations: ['88-76=12', '33+99=132'] Exploring Operation: 132/12=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 90, 90, 90, 86 ]
90
[ "90-90=0", "86*0=0", "90+0=90" ]
Current State: 90:[90, 90, 90, 86], Operations: [] Exploring Operation: 90-90=0, Resulting Numbers: [86, 0] Generated Node #2: [86, 0] from Operation: 90-90=0 Current State: 90:[86, 0], Operations: ['90-90=0'] Exploring Operation: 86*0=0, Resulting Numbers: [0] 0,90 equal: Goal Reached Exploring Operation: 90+0=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 98, 38, 89, 82 ]
24
[ "89-82=7", "98/7=14", "38-14=24" ]
Current State: 24:[98, 38, 89, 82], Operations: [] Exploring Operation: 89-82=7, Resulting Numbers: [98, 38, 7] Generated Node #2: [98, 38, 7] from Operation: 89-82=7 Current State: 24:[98, 38, 7], Operations: ['89-82=7'] Exploring Operation: 98/7=14, Resulting Numbers: [38, 14] Generated Node #3: [38, 14] from Operation: 98/7=14 Current State: 24:[38, 14], Operations: ['89-82=7', '98/7=14'] Exploring Operation: 38-14=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 93, 42, 86, 2 ]
98
[ "93+42=135", "135-86=49", "2*49=98" ]
Current State: 98:[93, 42, 86, 2], Operations: [] Exploring Operation: 93+42=135, Resulting Numbers: [86, 2, 135] Generated Node #2: [86, 2, 135] from Operation: 93+42=135 Current State: 98:[86, 2, 135], Operations: ['93+42=135'] Exploring Operation: 135-86=49, Resulting Numbers: [2, 49] Generated Node #3: [2, 49] from Operation: 135-86=49 Current State: 98:[2, 49], Operations: ['93+42=135', '135-86=49'] Exploring Operation: 2*49=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 16, 2, 38, 23 ]
85
[ "16+38=54", "2*54=108", "108-23=85" ]
Current State: 85:[16, 2, 38, 23], Operations: [] Exploring Operation: 16+38=54, Resulting Numbers: [2, 23, 54] Generated Node #2: [2, 23, 54] from Operation: 16+38=54 Current State: 85:[2, 23, 54], Operations: ['16+38=54'] Exploring Operation: 2*54=108, Resulting Numbers: [23, 108] Generated Node #3: [23, 108] from Operation: 2*54=108 Current State: 85:[23, 108], Operations: ['16+38=54', '2*54=108'] Exploring Operation: 108-23=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 2, 54, 47, 60 ]
100
[ "2*47=94", "60-54=6", "94+6=100" ]
Current State: 100:[2, 54, 47, 60], Operations: [] Exploring Operation: 2*47=94, Resulting Numbers: [54, 60, 94] Generated Node #2: [54, 60, 94] from Operation: 2*47=94 Current State: 100:[54, 60, 94], Operations: ['2*47=94'] Exploring Operation: 60-54=6, Resulting Numbers: [94, 6] Generated Node #3: [94, 6] from Operation: 60-54=6 Current State: 100:[94, 6], Operations: ['2*47=94', '60-54=6'] Exploring Operation: 94+6=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 2, 68, 99, 74 ]
28
[ "68+74=142", "142/2=71", "99-71=28" ]
Current State: 28:[2, 68, 99, 74], Operations: [] Exploring Operation: 68+74=142, Resulting Numbers: [2, 99, 142] Generated Node #2: [2, 99, 142] from Operation: 68+74=142 Current State: 28:[2, 99, 142], Operations: ['68+74=142'] Exploring Operation: 142/2=71, Resulting Numbers: [99, 71] Generated Node #3: [99, 71] from Operation: 142/2=71 Current State: 28:[99, 71], Operations: ['68+74=142', '142/2=71'] Exploring Operation: 99-71=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 96, 6, 86, 78 ]
23
[ "96-86=10", "78/6=13", "10+13=23" ]
Current State: 23:[96, 6, 86, 78], Operations: [] Exploring Operation: 96-86=10, Resulting Numbers: [6, 78, 10] Generated Node #2: [6, 78, 10] from Operation: 96-86=10 Current State: 23:[6, 78, 10], Operations: ['96-86=10'] Exploring Operation: 78/6=13, Resulting Numbers: [10, 13] Generated Node #3: [10, 13] from Operation: 78/6=13 Current State: 23:[10, 13], Operations: ['96-86=10', '78/6=13'] Exploring Operation: 10+13=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 30, 9, 58, 61 ]
98
[ "30-9=21", "58+61=119", "119-21=98" ]
Current State: 98:[30, 9, 58, 61], Operations: [] Exploring Operation: 30-9=21, Resulting Numbers: [58, 61, 21] Generated Node #2: [58, 61, 21] from Operation: 30-9=21 Current State: 98:[58, 61, 21], Operations: ['30-9=21'] Exploring Operation: 58+61=119, Resulting Numbers: [21, 119] Generated Node #3: [21, 119] from Operation: 58+61=119 Current State: 98:[21, 119], Operations: ['30-9=21', '58+61=119'] Exploring Operation: 119-21=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 71, 12, 44, 53 ]
68
[ "71-12=59", "53-44=9", "59+9=68" ]
Current State: 68:[71, 12, 44, 53], Operations: [] Exploring Operation: 71-12=59, Resulting Numbers: [44, 53, 59] Generated Node #2: [44, 53, 59] from Operation: 71-12=59 Current State: 68:[44, 53, 59], Operations: ['71-12=59'] Exploring Operation: 53-44=9, Resulting Numbers: [59, 9] Generated Node #3: [59, 9] from Operation: 53-44=9 Current State: 68:[59, 9], Operations: ['71-12=59', '53-44=9'] Exploring Operation: 59+9=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 52, 26, 21, 10 ]
41
[ "52/26=2", "10*2=20", "21+20=41" ]
Current State: 41:[52, 26, 21, 10], Operations: [] Exploring Operation: 52/26=2, Resulting Numbers: [21, 10, 2] Generated Node #2: [21, 10, 2] from Operation: 52/26=2 Current State: 41:[21, 10, 2], Operations: ['52/26=2'] Exploring Operation: 10*2=20, Resulting Numbers: [21, 20] Generated Node #3: [21, 20] from Operation: 10*2=20 Current State: 41:[21, 20], Operations: ['52/26=2', '10*2=20'] Exploring Operation: 21+20=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 86, 63, 24, 28 ]
75
[ "86-63=23", "24+28=52", "23+52=75" ]
Current State: 75:[86, 63, 24, 28], Operations: [] Exploring Operation: 86-63=23, Resulting Numbers: [24, 28, 23] Generated Node #2: [24, 28, 23] from Operation: 86-63=23 Current State: 75:[24, 28, 23], Operations: ['86-63=23'] Exploring Operation: 24+28=52, Resulting Numbers: [23, 52] Generated Node #3: [23, 52] from Operation: 24+28=52 Current State: 75:[23, 52], Operations: ['86-63=23', '24+28=52'] Exploring Operation: 23+52=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 58, 80, 94, 47 ]
44
[ "80-58=22", "94/47=2", "22*2=44" ]
Current State: 44:[58, 80, 94, 47], Operations: [] Exploring Operation: 80-58=22, Resulting Numbers: [94, 47, 22] Generated Node #2: [94, 47, 22] from Operation: 80-58=22 Current State: 44:[94, 47, 22], Operations: ['80-58=22'] Exploring Operation: 94/47=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 94/47=2 Current State: 44:[22, 2], Operations: ['80-58=22', '94/47=2'] Exploring Operation: 22*2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 48, 5, 15, 1 ]
37
[ "48+5=53", "15+1=16", "53-16=37" ]
Current State: 37:[48, 5, 15, 1], Operations: [] Exploring Operation: 48+5=53, Resulting Numbers: [15, 1, 53] Generated Node #2: [15, 1, 53] from Operation: 48+5=53 Current State: 37:[15, 1, 53], Operations: ['48+5=53'] Exploring Operation: 15+1=16, Resulting Numbers: [53, 16] Generated Node #3: [53, 16] from Operation: 15+1=16 Current State: 37:[53, 16], Operations: ['48+5=53', '15+1=16'] Exploring Operation: 53-16=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 2, 32, 55, 36 ]
70
[ "55-36=19", "2*19=38", "32+38=70" ]
Current State: 70:[2, 32, 55, 36], Operations: [] Exploring Operation: 55-36=19, Resulting Numbers: [2, 32, 19] Generated Node #2: [2, 32, 19] from Operation: 55-36=19 Current State: 70:[2, 32, 19], Operations: ['55-36=19'] Exploring Operation: 2*19=38, Resulting Numbers: [32, 38] Generated Node #3: [32, 38] from Operation: 2*19=38 Current State: 70:[32, 38], Operations: ['55-36=19', '2*19=38'] Exploring Operation: 32+38=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 45, 60, 68, 46 ]
83
[ "45+60=105", "68-46=22", "105-22=83" ]
Current State: 83:[45, 60, 68, 46], Operations: [] Exploring Operation: 45+60=105, Resulting Numbers: [68, 46, 105] Generated Node #2: [68, 46, 105] from Operation: 45+60=105 Current State: 83:[68, 46, 105], Operations: ['45+60=105'] Exploring Operation: 68-46=22, Resulting Numbers: [105, 22] Generated Node #3: [105, 22] from Operation: 68-46=22 Current State: 83:[105, 22], Operations: ['45+60=105', '68-46=22'] Exploring Operation: 105-22=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 40, 22, 6, 84 ]
72
[ "40-22=18", "6+84=90", "90-18=72" ]
Current State: 72:[40, 22, 6, 84], Operations: [] Exploring Operation: 40-22=18, Resulting Numbers: [6, 84, 18] Generated Node #2: [6, 84, 18] from Operation: 40-22=18 Current State: 72:[6, 84, 18], Operations: ['40-22=18'] Exploring Operation: 6+84=90, Resulting Numbers: [18, 90] Generated Node #3: [18, 90] from Operation: 6+84=90 Current State: 72:[18, 90], Operations: ['40-22=18', '6+84=90'] Exploring Operation: 90-18=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 42, 87, 74, 83 ]
94
[ "87-83=4", "42*4=168", "168-74=94" ]
Current State: 94:[42, 87, 74, 83], Operations: [] Exploring Operation: 87-83=4, Resulting Numbers: [42, 74, 4] Generated Node #2: [42, 74, 4] from Operation: 87-83=4 Current State: 94:[42, 74, 4], Operations: ['87-83=4'] Exploring Operation: 42*4=168, Resulting Numbers: [74, 168] Generated Node #3: [74, 168] from Operation: 42*4=168 Current State: 94:[74, 168], Operations: ['87-83=4', '42*4=168'] Exploring Operation: 168-74=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 51, 68, 61, 30 ]
21
[ "68*30=2040", "2040/51=40", "61-40=21" ]
Current State: 21:[51, 68, 61, 30], Operations: [] Exploring Operation: 68*30=2040, Resulting Numbers: [51, 61, 2040] Generated Node #2: [51, 61, 2040] from Operation: 68*30=2040 Current State: 21:[51, 61, 2040], Operations: ['68*30=2040'] Exploring Operation: 2040/51=40, Resulting Numbers: [61, 40] Generated Node #3: [61, 40] from Operation: 2040/51=40 Current State: 21:[61, 40], Operations: ['68*30=2040', '2040/51=40'] Exploring Operation: 61-40=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 70, 6, 8, 49 ]
57
[ "70-6=64", "64/8=8", "49+8=57" ]
Current State: 57:[70, 6, 8, 49], Operations: [] Exploring Operation: 70-6=64, Resulting Numbers: [8, 49, 64] Generated Node #2: [8, 49, 64] from Operation: 70-6=64 Current State: 57:[8, 49, 64], Operations: ['70-6=64'] Exploring Operation: 64/8=8, Resulting Numbers: [49, 8] Generated Node #3: [49, 8] from Operation: 64/8=8 Current State: 57:[49, 8], Operations: ['70-6=64', '64/8=8'] Exploring Operation: 49+8=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 94, 20, 89, 92 ]
77
[ "94-20=74", "92-89=3", "74+3=77" ]
Current State: 77:[94, 20, 89, 92], Operations: [] Exploring Operation: 94-20=74, Resulting Numbers: [89, 92, 74] Generated Node #2: [89, 92, 74] from Operation: 94-20=74 Current State: 77:[89, 92, 74], Operations: ['94-20=74'] Exploring Operation: 92-89=3, Resulting Numbers: [74, 3] Generated Node #3: [74, 3] from Operation: 92-89=3 Current State: 77:[74, 3], Operations: ['94-20=74', '92-89=3'] Exploring Operation: 74+3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 24, 15, 81, 49 ]
45
[ "15+81=96", "96/24=4", "49-4=45" ]
Current State: 45:[24, 15, 81, 49], Operations: [] Exploring Operation: 15+81=96, Resulting Numbers: [24, 49, 96] Generated Node #2: [24, 49, 96] from Operation: 15+81=96 Current State: 45:[24, 49, 96], Operations: ['15+81=96'] Exploring Operation: 96/24=4, Resulting Numbers: [49, 4] Generated Node #3: [49, 4] from Operation: 96/24=4 Current State: 45:[49, 4], Operations: ['15+81=96', '96/24=4'] Exploring Operation: 49-4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 13, 77, 15, 78 ]
27
[ "13+77=90", "78-15=63", "90-63=27" ]
Current State: 27:[13, 77, 15, 78], Operations: [] Exploring Operation: 13+77=90, Resulting Numbers: [15, 78, 90] Generated Node #2: [15, 78, 90] from Operation: 13+77=90 Current State: 27:[15, 78, 90], Operations: ['13+77=90'] Exploring Operation: 78-15=63, Resulting Numbers: [90, 63] Generated Node #3: [90, 63] from Operation: 78-15=63 Current State: 27:[90, 63], Operations: ['13+77=90', '78-15=63'] Exploring Operation: 90-63=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 59, 90, 56, 8 ]
18
[ "59-56=3", "8-3=5", "90/5=18" ]
Current State: 18:[59, 90, 56, 8], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [90, 8, 3] Generated Node #2: [90, 8, 3] from Operation: 59-56=3 Current State: 18:[90, 8, 3], Operations: ['59-56=3'] Exploring Operation: 8-3=5, Resulting Numbers: [90, 5] Generated Node #3: [90, 5] from Operation: 8-3=5 Current State: 18:[90, 5], Operations: ['59-56=3', '8-3=5'] Exploring Operation: 90/5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 24, 56, 28, 56 ]
50
[ "24*56=1344", "56+1344=1400", "1400/28=50" ]
Current State: 50:[24, 56, 28, 56], Operations: [] Exploring Operation: 24*56=1344, Resulting Numbers: [28, 1344] Generated Node #2: [28, 1344] from Operation: 24*56=1344 Current State: 50:[28, 1344], Operations: ['24*56=1344'] Exploring Operation: 56+1344=1400, Resulting Numbers: [28, 1400] Generated Node #3: [28, 1400] from Operation: 56+1344=1400 Current State: 50:[28, 1400], Operations: ['24*56=1344', '56+1344=1400'] Exploring Operation: 1400/28=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 8, 32, 21, 72 ]
11
[ "8+32=40", "72-21=51", "51-40=11" ]
Current State: 11:[8, 32, 21, 72], Operations: [] Exploring Operation: 8+32=40, Resulting Numbers: [21, 72, 40] Generated Node #2: [21, 72, 40] from Operation: 8+32=40 Current State: 11:[21, 72, 40], Operations: ['8+32=40'] Exploring Operation: 72-21=51, Resulting Numbers: [40, 51] Generated Node #3: [40, 51] from Operation: 72-21=51 Current State: 11:[40, 51], Operations: ['8+32=40', '72-21=51'] Exploring Operation: 51-40=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 10, 31, 77, 93 ]
64
[ "77-10=67", "93/31=3", "67-3=64" ]
Current State: 64:[10, 31, 77, 93], Operations: [] Exploring Operation: 77-10=67, Resulting Numbers: [31, 93, 67] Generated Node #2: [31, 93, 67] from Operation: 77-10=67 Current State: 64:[31, 93, 67], Operations: ['77-10=67'] Exploring Operation: 93/31=3, Resulting Numbers: [67, 3] Generated Node #3: [67, 3] from Operation: 93/31=3 Current State: 64:[67, 3], Operations: ['77-10=67', '93/31=3'] Exploring Operation: 67-3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 48, 94, 23, 33 ]
35
[ "94-48=46", "46/23=2", "33+2=35" ]
Current State: 35:[48, 94, 23, 33], Operations: [] Exploring Operation: 94-48=46, Resulting Numbers: [23, 33, 46] Generated Node #2: [23, 33, 46] from Operation: 94-48=46 Current State: 35:[23, 33, 46], Operations: ['94-48=46'] Exploring Operation: 46/23=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 46/23=2 Current State: 35:[33, 2], Operations: ['94-48=46', '46/23=2'] Exploring Operation: 33+2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 82, 71, 78, 17 ]
92
[ "82+71=153", "78-17=61", "153-61=92" ]
Current State: 92:[82, 71, 78, 17], Operations: [] Exploring Operation: 82+71=153, Resulting Numbers: [78, 17, 153] Generated Node #2: [78, 17, 153] from Operation: 82+71=153 Current State: 92:[78, 17, 153], Operations: ['82+71=153'] Exploring Operation: 78-17=61, Resulting Numbers: [153, 61] Generated Node #3: [153, 61] from Operation: 78-17=61 Current State: 92:[153, 61], Operations: ['82+71=153', '78-17=61'] Exploring Operation: 153-61=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 57, 66, 84, 15 ]
14
[ "66-57=9", "15-9=6", "84/6=14" ]
Current State: 14:[57, 66, 84, 15], Operations: [] Exploring Operation: 66-57=9, Resulting Numbers: [84, 15, 9] Generated Node #2: [84, 15, 9] from Operation: 66-57=9 Current State: 14:[84, 15, 9], Operations: ['66-57=9'] Exploring Operation: 15-9=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 15-9=6 Current State: 14:[84, 6], Operations: ['66-57=9', '15-9=6'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 92, 14, 79, 61 ]
34
[ "92+14=106", "79+61=140", "140-106=34" ]
Current State: 34:[92, 14, 79, 61], Operations: [] Exploring Operation: 92+14=106, Resulting Numbers: [79, 61, 106] Generated Node #2: [79, 61, 106] from Operation: 92+14=106 Current State: 34:[79, 61, 106], Operations: ['92+14=106'] Exploring Operation: 79+61=140, Resulting Numbers: [106, 140] Generated Node #3: [106, 140] from Operation: 79+61=140 Current State: 34:[106, 140], Operations: ['92+14=106', '79+61=140'] Exploring Operation: 140-106=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 8, 75, 7, 25 ]
77
[ "75/25=3", "8+3=11", "7*11=77" ]
Current State: 77:[8, 75, 7, 25], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [8, 7, 3] Generated Node #2: [8, 7, 3] from Operation: 75/25=3 Current State: 77:[8, 7, 3], Operations: ['75/25=3'] Exploring Operation: 8+3=11, Resulting Numbers: [7, 11] Generated Node #3: [7, 11] from Operation: 8+3=11 Current State: 77:[7, 11], Operations: ['75/25=3', '8+3=11'] Exploring Operation: 7*11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 24, 82, 17, 92 ]
17
[ "82-24=58", "92-17=75", "75-58=17" ]
Current State: 17:[24, 82, 17, 92], Operations: [] Exploring Operation: 82-24=58, Resulting Numbers: [17, 92, 58] Generated Node #2: [17, 92, 58] from Operation: 82-24=58 Current State: 17:[17, 92, 58], Operations: ['82-24=58'] Exploring Operation: 92-17=75, Resulting Numbers: [58, 75] Generated Node #3: [58, 75] from Operation: 92-17=75 Current State: 17:[58, 75], Operations: ['82-24=58', '92-17=75'] Exploring Operation: 75-58=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 22, 12, 18, 54 ]
13
[ "22-12=10", "54/18=3", "10+3=13" ]
Current State: 13:[22, 12, 18, 54], Operations: [] Exploring Operation: 22-12=10, Resulting Numbers: [18, 54, 10] Generated Node #2: [18, 54, 10] from Operation: 22-12=10 Current State: 13:[18, 54, 10], Operations: ['22-12=10'] Exploring Operation: 54/18=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 54/18=3 Current State: 13:[10, 3], Operations: ['22-12=10', '54/18=3'] Exploring Operation: 10+3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 72, 70, 11, 5 ]
21
[ "72-70=2", "5*2=10", "11+10=21" ]
Current State: 21:[72, 70, 11, 5], Operations: [] Exploring Operation: 72-70=2, Resulting Numbers: [11, 5, 2] Generated Node #2: [11, 5, 2] from Operation: 72-70=2 Current State: 21:[11, 5, 2], Operations: ['72-70=2'] Exploring Operation: 5*2=10, Resulting Numbers: [11, 10] Generated Node #3: [11, 10] from Operation: 5*2=10 Current State: 21:[11, 10], Operations: ['72-70=2', '5*2=10'] Exploring Operation: 11+10=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 90, 16, 82, 2 ]
18
[ "90*16=1440", "82-2=80", "1440/80=18" ]
Current State: 18:[90, 16, 82, 2], Operations: [] Exploring Operation: 90*16=1440, Resulting Numbers: [82, 2, 1440] Generated Node #2: [82, 2, 1440] from Operation: 90*16=1440 Current State: 18:[82, 2, 1440], Operations: ['90*16=1440'] Exploring Operation: 82-2=80, Resulting Numbers: [1440, 80] Generated Node #3: [1440, 80] from Operation: 82-2=80 Current State: 18:[1440, 80], Operations: ['90*16=1440', '82-2=80'] Exploring Operation: 1440/80=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 73, 40, 46, 18 ]
97
[ "73-40=33", "46+18=64", "33+64=97" ]
Current State: 97:[73, 40, 46, 18], Operations: [] Exploring Operation: 73-40=33, Resulting Numbers: [46, 18, 33] Generated Node #2: [46, 18, 33] from Operation: 73-40=33 Current State: 97:[46, 18, 33], Operations: ['73-40=33'] Exploring Operation: 46+18=64, Resulting Numbers: [33, 64] Generated Node #3: [33, 64] from Operation: 46+18=64 Current State: 97:[33, 64], Operations: ['73-40=33', '46+18=64'] Exploring Operation: 33+64=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 52, 55, 88, 15 ]
93
[ "55-52=3", "15/3=5", "88+5=93" ]
Current State: 93:[52, 55, 88, 15], Operations: [] Exploring Operation: 55-52=3, Resulting Numbers: [88, 15, 3] Generated Node #2: [88, 15, 3] from Operation: 55-52=3 Current State: 93:[88, 15, 3], Operations: ['55-52=3'] Exploring Operation: 15/3=5, Resulting Numbers: [88, 5] Generated Node #3: [88, 5] from Operation: 15/3=5 Current State: 93:[88, 5], Operations: ['55-52=3', '15/3=5'] Exploring Operation: 88+5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4