Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 13, 60, 24, 86 ]
11
[ "13+60=73", "86-24=62", "73-62=11" ]
Current State: 11:[13, 60, 24, 86], Operations: [] Exploring Operation: 13+60=73, Resulting Numbers: [24, 86, 73] Generated Node #2: [24, 86, 73] from Operation: 13+60=73 Current State: 11:[24, 86, 73], Operations: ['13+60=73'] Exploring Operation: 86-24=62, Resulting Numbers: [73, 62] Generated Node #3: [73, 62] from Operation: 86-24=62 Current State: 11:[73, 62], Operations: ['13+60=73', '86-24=62'] Exploring Operation: 73-62=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 91, 52, 13, 32 ]
20
[ "91-52=39", "32-13=19", "39-19=20" ]
Current State: 20:[91, 52, 13, 32], Operations: [] Exploring Operation: 91-52=39, Resulting Numbers: [13, 32, 39] Generated Node #2: [13, 32, 39] from Operation: 91-52=39 Current State: 20:[13, 32, 39], Operations: ['91-52=39'] Exploring Operation: 32-13=19, Resulting Numbers: [39, 19] Generated Node #3: [39, 19] from Operation: 32-13=19 Current State: 20:[39, 19], Operations: ['91-52=39', '32-13=19'] Exploring Operation: 39-19=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 86, 9, 40, 94 ]
32
[ "94-86=8", "9*8=72", "72-40=32" ]
Current State: 32:[86, 9, 40, 94], Operations: [] Exploring Operation: 94-86=8, Resulting Numbers: [9, 40, 8] Generated Node #2: [9, 40, 8] from Operation: 94-86=8 Current State: 32:[9, 40, 8], Operations: ['94-86=8'] Exploring Operation: 9*8=72, Resulting Numbers: [40, 72] Generated Node #3: [40, 72] from Operation: 9*8=72 Current State: 32:[40, 72], Operations: ['94-86=8', '9*8=72'] Exploring Operation: 72-40=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 47, 46, 23, 82 ]
58
[ "47-46=1", "82-23=59", "59-1=58" ]
Current State: 58:[47, 46, 23, 82], Operations: [] Exploring Operation: 47-46=1, Resulting Numbers: [23, 82, 1] Generated Node #2: [23, 82, 1] from Operation: 47-46=1 Current State: 58:[23, 82, 1], Operations: ['47-46=1'] Exploring Operation: 82-23=59, Resulting Numbers: [1, 59] Generated Node #3: [1, 59] from Operation: 82-23=59 Current State: 58:[1, 59], Operations: ['47-46=1', '82-23=59'] Exploring Operation: 59-1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 56, 18, 6, 97 ]
53
[ "56-18=38", "97-6=91", "91-38=53" ]
Current State: 53:[56, 18, 6, 97], Operations: [] Exploring Operation: 56-18=38, Resulting Numbers: [6, 97, 38] Generated Node #2: [6, 97, 38] from Operation: 56-18=38 Current State: 53:[6, 97, 38], Operations: ['56-18=38'] Exploring Operation: 97-6=91, Resulting Numbers: [38, 91] Generated Node #3: [38, 91] from Operation: 97-6=91 Current State: 53:[38, 91], Operations: ['56-18=38', '97-6=91'] Exploring Operation: 91-38=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 70, 96, 70, 14 ]
83
[ "70/70=1", "96-14=82", "1+82=83" ]
Current State: 83:[70, 96, 70, 14], Operations: [] Exploring Operation: 70/70=1, Resulting Numbers: [96, 14, 1] Generated Node #2: [96, 14, 1] from Operation: 70/70=1 Current State: 83:[96, 14, 1], Operations: ['70/70=1'] Exploring Operation: 96-14=82, Resulting Numbers: [1, 82] Generated Node #3: [1, 82] from Operation: 96-14=82 Current State: 83:[1, 82], Operations: ['70/70=1', '96-14=82'] Exploring Operation: 1+82=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 96, 65, 13, 86 ]
50
[ "96-86=10", "65/13=5", "10*5=50" ]
Current State: 50:[96, 65, 13, 86], Operations: [] Exploring Operation: 96-86=10, Resulting Numbers: [65, 13, 10] Generated Node #2: [65, 13, 10] from Operation: 96-86=10 Current State: 50:[65, 13, 10], Operations: ['96-86=10'] Exploring Operation: 65/13=5, Resulting Numbers: [10, 5] Generated Node #3: [10, 5] from Operation: 65/13=5 Current State: 50:[10, 5], Operations: ['96-86=10', '65/13=5'] Exploring Operation: 10*5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 67, 81, 3, 62 ]
83
[ "67+81=148", "3+62=65", "148-65=83" ]
Current State: 83:[67, 81, 3, 62], Operations: [] Exploring Operation: 67+81=148, Resulting Numbers: [3, 62, 148] Generated Node #2: [3, 62, 148] from Operation: 67+81=148 Current State: 83:[3, 62, 148], Operations: ['67+81=148'] Exploring Operation: 3+62=65, Resulting Numbers: [148, 65] Generated Node #3: [148, 65] from Operation: 3+62=65 Current State: 83:[148, 65], Operations: ['67+81=148', '3+62=65'] Exploring Operation: 148-65=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 8, 58, 6, 9 ]
63
[ "8+58=66", "9-6=3", "66-3=63" ]
Current State: 63:[8, 58, 6, 9], Operations: [] Exploring Operation: 8+58=66, Resulting Numbers: [6, 9, 66] Generated Node #2: [6, 9, 66] from Operation: 8+58=66 Current State: 63:[6, 9, 66], Operations: ['8+58=66'] Exploring Operation: 9-6=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 9-6=3 Current State: 63:[66, 3], Operations: ['8+58=66', '9-6=3'] Exploring Operation: 66-3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 94, 75, 30, 17 ]
73
[ "30+17=47", "94/47=2", "75-2=73" ]
Current State: 73:[94, 75, 30, 17], Operations: [] Exploring Operation: 30+17=47, Resulting Numbers: [94, 75, 47] Generated Node #2: [94, 75, 47] from Operation: 30+17=47 Current State: 73:[94, 75, 47], Operations: ['30+17=47'] Exploring Operation: 94/47=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 94/47=2 Current State: 73:[75, 2], Operations: ['30+17=47', '94/47=2'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 81, 97, 68, 14 ]
96
[ "81+97=178", "68+14=82", "178-82=96" ]
Current State: 96:[81, 97, 68, 14], Operations: [] Exploring Operation: 81+97=178, Resulting Numbers: [68, 14, 178] Generated Node #2: [68, 14, 178] from Operation: 81+97=178 Current State: 96:[68, 14, 178], Operations: ['81+97=178'] Exploring Operation: 68+14=82, Resulting Numbers: [178, 82] Generated Node #3: [178, 82] from Operation: 68+14=82 Current State: 96:[178, 82], Operations: ['81+97=178', '68+14=82'] Exploring Operation: 178-82=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 38, 44, 71, 82 ]
66
[ "44-38=6", "82-71=11", "6*11=66" ]
Current State: 66:[38, 44, 71, 82], Operations: [] Exploring Operation: 44-38=6, Resulting Numbers: [71, 82, 6] Generated Node #2: [71, 82, 6] from Operation: 44-38=6 Current State: 66:[71, 82, 6], Operations: ['44-38=6'] Exploring Operation: 82-71=11, Resulting Numbers: [6, 11] Generated Node #3: [6, 11] from Operation: 82-71=11 Current State: 66:[6, 11], Operations: ['44-38=6', '82-71=11'] Exploring Operation: 6*11=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 56, 44, 76, 2 ]
48
[ "56+44=100", "100-76=24", "2*24=48" ]
Current State: 48:[56, 44, 76, 2], Operations: [] Exploring Operation: 56+44=100, Resulting Numbers: [76, 2, 100] Generated Node #2: [76, 2, 100] from Operation: 56+44=100 Current State: 48:[76, 2, 100], Operations: ['56+44=100'] Exploring Operation: 100-76=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operation: 100-76=24 Current State: 48:[2, 24], Operations: ['56+44=100', '100-76=24'] Exploring Operation: 2*24=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 89, 80, 4, 62 ]
67
[ "89-80=9", "62-4=58", "9+58=67" ]
Current State: 67:[89, 80, 4, 62], Operations: [] Exploring Operation: 89-80=9, Resulting Numbers: [4, 62, 9] Generated Node #2: [4, 62, 9] from Operation: 89-80=9 Current State: 67:[4, 62, 9], Operations: ['89-80=9'] Exploring Operation: 62-4=58, Resulting Numbers: [9, 58] Generated Node #3: [9, 58] from Operation: 62-4=58 Current State: 67:[9, 58], Operations: ['89-80=9', '62-4=58'] Exploring Operation: 9+58=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 86, 71, 16, 1 ]
30
[ "86-71=15", "16-1=15", "15+15=30" ]
Current State: 30:[86, 71, 16, 1], Operations: [] Exploring Operation: 86-71=15, Resulting Numbers: [16, 1, 15] Generated Node #2: [16, 1, 15] from Operation: 86-71=15 Current State: 30:[16, 1, 15], Operations: ['86-71=15'] Exploring Operation: 16-1=15, Resulting Numbers: [15, 15] Generated Node #3: [15, 15] from Operation: 16-1=15 Current State: 30:[15, 15], Operations: ['86-71=15', '16-1=15'] Exploring Operation: 15+15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 49, 13, 49, 39 ]
27
[ "49/49=1", "39-13=26", "1+26=27" ]
Current State: 27:[49, 13, 49, 39], Operations: [] Exploring Operation: 49/49=1, Resulting Numbers: [13, 39, 1] Generated Node #2: [13, 39, 1] from Operation: 49/49=1 Current State: 27:[13, 39, 1], Operations: ['49/49=1'] Exploring Operation: 39-13=26, Resulting Numbers: [1, 26] Generated Node #3: [1, 26] from Operation: 39-13=26 Current State: 27:[1, 26], Operations: ['49/49=1', '39-13=26'] Exploring Operation: 1+26=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 94, 79, 41, 35 ]
91
[ "94-79=15", "41+35=76", "15+76=91" ]
Current State: 91:[94, 79, 41, 35], Operations: [] Exploring Operation: 94-79=15, Resulting Numbers: [41, 35, 15] Generated Node #2: [41, 35, 15] from Operation: 94-79=15 Current State: 91:[41, 35, 15], Operations: ['94-79=15'] Exploring Operation: 41+35=76, Resulting Numbers: [15, 76] Generated Node #3: [15, 76] from Operation: 41+35=76 Current State: 91:[15, 76], Operations: ['94-79=15', '41+35=76'] Exploring Operation: 15+76=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 25, 72, 52, 72 ]
52
[ "72-72=0", "25*0=0", "52+0=52" ]
Current State: 52:[25, 72, 52, 72], Operations: [] Exploring Operation: 72-72=0, Resulting Numbers: [25, 52, 0] Generated Node #2: [25, 52, 0] from Operation: 72-72=0 Current State: 52:[25, 52, 0], Operations: ['72-72=0'] Exploring Operation: 25*0=0, Resulting Numbers: [52, 0] Generated Node #3: [52, 0] from Operation: 25*0=0 Current State: 52:[52, 0], Operations: ['72-72=0', '25*0=0'] Exploring Operation: 52+0=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 3, 13, 35, 62 ]
17
[ "13-3=10", "62-35=27", "27-10=17" ]
Current State: 17:[3, 13, 35, 62], Operations: [] Exploring Operation: 13-3=10, Resulting Numbers: [35, 62, 10] Generated Node #2: [35, 62, 10] from Operation: 13-3=10 Current State: 17:[35, 62, 10], Operations: ['13-3=10'] Exploring Operation: 62-35=27, Resulting Numbers: [10, 27] Generated Node #3: [10, 27] from Operation: 62-35=27 Current State: 17:[10, 27], Operations: ['13-3=10', '62-35=27'] Exploring Operation: 27-10=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 30, 98, 33, 9 ]
95
[ "33-30=3", "9/3=3", "98-3=95" ]
Current State: 95:[30, 98, 33, 9], Operations: [] Exploring Operation: 33-30=3, Resulting Numbers: [98, 9, 3] Generated Node #2: [98, 9, 3] from Operation: 33-30=3 Current State: 95:[98, 9, 3], Operations: ['33-30=3'] Exploring Operation: 9/3=3, Resulting Numbers: [98, 3] Generated Node #3: [98, 3] from Operation: 9/3=3 Current State: 95:[98, 3], Operations: ['33-30=3', '9/3=3'] Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 68, 63, 31, 14 ]
85
[ "68-63=5", "31-14=17", "5*17=85" ]
Current State: 85:[68, 63, 31, 14], Operations: [] Exploring Operation: 68-63=5, Resulting Numbers: [31, 14, 5] Generated Node #2: [31, 14, 5] from Operation: 68-63=5 Current State: 85:[31, 14, 5], Operations: ['68-63=5'] Exploring Operation: 31-14=17, Resulting Numbers: [5, 17] Generated Node #3: [5, 17] from Operation: 31-14=17 Current State: 85:[5, 17], Operations: ['68-63=5', '31-14=17'] Exploring Operation: 5*17=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 22, 28, 39, 3 ]
57
[ "28-22=6", "3*6=18", "39+18=57" ]
Current State: 57:[22, 28, 39, 3], Operations: [] Exploring Operation: 28-22=6, Resulting Numbers: [39, 3, 6] Generated Node #2: [39, 3, 6] from Operation: 28-22=6 Current State: 57:[39, 3, 6], Operations: ['28-22=6'] Exploring Operation: 3*6=18, Resulting Numbers: [39, 18] Generated Node #3: [39, 18] from Operation: 3*6=18 Current State: 57:[39, 18], Operations: ['28-22=6', '3*6=18'] Exploring Operation: 39+18=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 47, 32, 53, 2 ]
58
[ "53-47=6", "32*2=64", "64-6=58" ]
Current State: 58:[47, 32, 53, 2], Operations: [] Exploring Operation: 53-47=6, Resulting Numbers: [32, 2, 6] Generated Node #2: [32, 2, 6] from Operation: 53-47=6 Current State: 58:[32, 2, 6], Operations: ['53-47=6'] Exploring Operation: 32*2=64, Resulting Numbers: [6, 64] Generated Node #3: [6, 64] from Operation: 32*2=64 Current State: 58:[6, 64], Operations: ['53-47=6', '32*2=64'] Exploring Operation: 64-6=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 9, 8, 95, 27 ]
51
[ "9+8=17", "95-27=68", "68-17=51" ]
Current State: 51:[9, 8, 95, 27], Operations: [] Exploring Operation: 9+8=17, Resulting Numbers: [95, 27, 17] Generated Node #2: [95, 27, 17] from Operation: 9+8=17 Current State: 51:[95, 27, 17], Operations: ['9+8=17'] Exploring Operation: 95-27=68, Resulting Numbers: [17, 68] Generated Node #3: [17, 68] from Operation: 95-27=68 Current State: 51:[17, 68], Operations: ['9+8=17', '95-27=68'] Exploring Operation: 68-17=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 42, 73, 36, 33 ]
93
[ "73-42=31", "36-33=3", "31*3=93" ]
Current State: 93:[42, 73, 36, 33], Operations: [] Exploring Operation: 73-42=31, Resulting Numbers: [36, 33, 31] Generated Node #2: [36, 33, 31] from Operation: 73-42=31 Current State: 93:[36, 33, 31], Operations: ['73-42=31'] Exploring Operation: 36-33=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 36-33=3 Current State: 93:[31, 3], Operations: ['73-42=31', '36-33=3'] Exploring Operation: 31*3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 96, 7, 64, 27 ]
83
[ "64+27=91", "91/7=13", "96-13=83" ]
Current State: 83:[96, 7, 64, 27], Operations: [] Exploring Operation: 64+27=91, Resulting Numbers: [96, 7, 91] Generated Node #2: [96, 7, 91] from Operation: 64+27=91 Current State: 83:[96, 7, 91], Operations: ['64+27=91'] Exploring Operation: 91/7=13, Resulting Numbers: [96, 13] Generated Node #3: [96, 13] from Operation: 91/7=13 Current State: 83:[96, 13], Operations: ['64+27=91', '91/7=13'] Exploring Operation: 96-13=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 70, 50, 58, 60 ]
56
[ "70+50=120", "120/60=2", "58-2=56" ]
Current State: 56:[70, 50, 58, 60], Operations: [] Exploring Operation: 70+50=120, Resulting Numbers: [58, 60, 120] Generated Node #2: [58, 60, 120] from Operation: 70+50=120 Current State: 56:[58, 60, 120], Operations: ['70+50=120'] Exploring Operation: 120/60=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 120/60=2 Current State: 56:[58, 2], Operations: ['70+50=120', '120/60=2'] Exploring Operation: 58-2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 1, 84, 43, 30 ]
32
[ "43-1=42", "84/42=2", "30+2=32" ]
Current State: 32:[1, 84, 43, 30], Operations: [] Exploring Operation: 43-1=42, Resulting Numbers: [84, 30, 42] Generated Node #2: [84, 30, 42] from Operation: 43-1=42 Current State: 32:[84, 30, 42], Operations: ['43-1=42'] Exploring Operation: 84/42=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 84/42=2 Current State: 32:[30, 2], Operations: ['43-1=42', '84/42=2'] Exploring Operation: 30+2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 15, 82, 49, 10 ]
38
[ "15+82=97", "49+10=59", "97-59=38" ]
Current State: 38:[15, 82, 49, 10], Operations: [] Exploring Operation: 15+82=97, Resulting Numbers: [49, 10, 97] Generated Node #2: [49, 10, 97] from Operation: 15+82=97 Current State: 38:[49, 10, 97], Operations: ['15+82=97'] Exploring Operation: 49+10=59, Resulting Numbers: [97, 59] Generated Node #3: [97, 59] from Operation: 49+10=59 Current State: 38:[97, 59], Operations: ['15+82=97', '49+10=59'] Exploring Operation: 97-59=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 77, 39, 78, 16 ]
22
[ "77+39=116", "78+16=94", "116-94=22" ]
Current State: 22:[77, 39, 78, 16], Operations: [] Exploring Operation: 77+39=116, Resulting Numbers: [78, 16, 116] Generated Node #2: [78, 16, 116] from Operation: 77+39=116 Current State: 22:[78, 16, 116], Operations: ['77+39=116'] Exploring Operation: 78+16=94, Resulting Numbers: [116, 94] Generated Node #3: [116, 94] from Operation: 78+16=94 Current State: 22:[116, 94], Operations: ['77+39=116', '78+16=94'] Exploring Operation: 116-94=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 64, 12, 22, 32 ]
62
[ "64-12=52", "32-22=10", "52+10=62" ]
Current State: 62:[64, 12, 22, 32], Operations: [] Exploring Operation: 64-12=52, Resulting Numbers: [22, 32, 52] Generated Node #2: [22, 32, 52] from Operation: 64-12=52 Current State: 62:[22, 32, 52], Operations: ['64-12=52'] Exploring Operation: 32-22=10, Resulting Numbers: [52, 10] Generated Node #3: [52, 10] from Operation: 32-22=10 Current State: 62:[52, 10], Operations: ['64-12=52', '32-22=10'] Exploring Operation: 52+10=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 3, 18, 51, 72 ]
27
[ "18/3=6", "72-51=21", "6+21=27" ]
Current State: 27:[3, 18, 51, 72], Operations: [] Exploring Operation: 18/3=6, Resulting Numbers: [51, 72, 6] Generated Node #2: [51, 72, 6] from Operation: 18/3=6 Current State: 27:[51, 72, 6], Operations: ['18/3=6'] Exploring Operation: 72-51=21, Resulting Numbers: [6, 21] Generated Node #3: [6, 21] from Operation: 72-51=21 Current State: 27:[6, 21], Operations: ['18/3=6', '72-51=21'] Exploring Operation: 6+21=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 79, 3, 29, 27 ]
85
[ "29-27=2", "3*2=6", "79+6=85" ]
Current State: 85:[79, 3, 29, 27], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [79, 3, 2] Generated Node #2: [79, 3, 2] from Operation: 29-27=2 Current State: 85:[79, 3, 2], Operations: ['29-27=2'] Exploring Operation: 3*2=6, Resulting Numbers: [79, 6] Generated Node #3: [79, 6] from Operation: 3*2=6 Current State: 85:[79, 6], Operations: ['29-27=2', '3*2=6'] Exploring Operation: 79+6=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 51, 70, 40, 67 ]
57
[ "70-67=3", "51/3=17", "40+17=57" ]
Current State: 57:[51, 70, 40, 67], Operations: [] Exploring Operation: 70-67=3, Resulting Numbers: [51, 40, 3] Generated Node #2: [51, 40, 3] from Operation: 70-67=3 Current State: 57:[51, 40, 3], Operations: ['70-67=3'] Exploring Operation: 51/3=17, Resulting Numbers: [40, 17] Generated Node #3: [40, 17] from Operation: 51/3=17 Current State: 57:[40, 17], Operations: ['70-67=3', '51/3=17'] Exploring Operation: 40+17=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 34, 80, 14, 85 ]
81
[ "34-14=20", "80/20=4", "85-4=81" ]
Current State: 81:[34, 80, 14, 85], Operations: [] Exploring Operation: 34-14=20, Resulting Numbers: [80, 85, 20] Generated Node #2: [80, 85, 20] from Operation: 34-14=20 Current State: 81:[80, 85, 20], Operations: ['34-14=20'] Exploring Operation: 80/20=4, Resulting Numbers: [85, 4] Generated Node #3: [85, 4] from Operation: 80/20=4 Current State: 81:[85, 4], Operations: ['34-14=20', '80/20=4'] Exploring Operation: 85-4=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 9, 79, 61, 20 ]
18
[ "79-61=18", "18/9=2", "20-2=18" ]
Current State: 18:[9, 79, 61, 20], Operations: [] Exploring Operation: 79-61=18, Resulting Numbers: [9, 20, 18] Generated Node #2: [9, 20, 18] from Operation: 79-61=18 Current State: 18:[9, 20, 18], Operations: ['79-61=18'] Exploring Operation: 18/9=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 18/9=2 Current State: 18:[20, 2], Operations: ['79-61=18', '18/9=2'] Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 1, 17, 30, 89 ]
51
[ "1+89=90", "17*90=1530", "1530/30=51" ]
Current State: 51:[1, 17, 30, 89], Operations: [] Exploring Operation: 1+89=90, Resulting Numbers: [17, 30, 90] Generated Node #2: [17, 30, 90] from Operation: 1+89=90 Current State: 51:[17, 30, 90], Operations: ['1+89=90'] Exploring Operation: 17*90=1530, Resulting Numbers: [30, 1530] Generated Node #3: [30, 1530] from Operation: 17*90=1530 Current State: 51:[30, 1530], Operations: ['1+89=90', '17*90=1530'] Exploring Operation: 1530/30=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 49, 18, 47, 94 ]
85
[ "49-47=2", "18/2=9", "94-9=85" ]
Current State: 85:[49, 18, 47, 94], Operations: [] Exploring Operation: 49-47=2, Resulting Numbers: [18, 94, 2] Generated Node #2: [18, 94, 2] from Operation: 49-47=2 Current State: 85:[18, 94, 2], Operations: ['49-47=2'] Exploring Operation: 18/2=9, Resulting Numbers: [94, 9] Generated Node #3: [94, 9] from Operation: 18/2=9 Current State: 85:[94, 9], Operations: ['49-47=2', '18/2=9'] Exploring Operation: 94-9=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 19, 76, 3, 84 ]
85
[ "76-19=57", "84/3=28", "57+28=85" ]
Current State: 85:[19, 76, 3, 84], Operations: [] Exploring Operation: 76-19=57, Resulting Numbers: [3, 84, 57] Generated Node #2: [3, 84, 57] from Operation: 76-19=57 Current State: 85:[3, 84, 57], Operations: ['76-19=57'] Exploring Operation: 84/3=28, Resulting Numbers: [57, 28] Generated Node #3: [57, 28] from Operation: 84/3=28 Current State: 85:[57, 28], Operations: ['76-19=57', '84/3=28'] Exploring Operation: 57+28=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 55, 22, 78, 20 ]
19
[ "55+22=77", "78-20=58", "77-58=19" ]
Current State: 19:[55, 22, 78, 20], Operations: [] Exploring Operation: 55+22=77, Resulting Numbers: [78, 20, 77] Generated Node #2: [78, 20, 77] from Operation: 55+22=77 Current State: 19:[78, 20, 77], Operations: ['55+22=77'] Exploring Operation: 78-20=58, Resulting Numbers: [77, 58] Generated Node #3: [77, 58] from Operation: 78-20=58 Current State: 19:[77, 58], Operations: ['55+22=77', '78-20=58'] Exploring Operation: 77-58=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 81, 19, 15, 5 ]
19
[ "81-5=76", "19-15=4", "76/4=19" ]
Current State: 19:[81, 19, 15, 5], Operations: [] Exploring Operation: 81-5=76, Resulting Numbers: [19, 15, 76] Generated Node #2: [19, 15, 76] from Operation: 81-5=76 Current State: 19:[19, 15, 76], Operations: ['81-5=76'] Exploring Operation: 19-15=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 19-15=4 Current State: 19:[76, 4], Operations: ['81-5=76', '19-15=4'] Exploring Operation: 76/4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 20, 83, 11, 30 ]
22
[ "83-20=63", "11+30=41", "63-41=22" ]
Current State: 22:[20, 83, 11, 30], Operations: [] Exploring Operation: 83-20=63, Resulting Numbers: [11, 30, 63] Generated Node #2: [11, 30, 63] from Operation: 83-20=63 Current State: 22:[11, 30, 63], Operations: ['83-20=63'] Exploring Operation: 11+30=41, Resulting Numbers: [63, 41] Generated Node #3: [63, 41] from Operation: 11+30=41 Current State: 22:[63, 41], Operations: ['83-20=63', '11+30=41'] Exploring Operation: 63-41=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 80, 93, 25, 22 ]
49
[ "25-22=3", "93/3=31", "80-31=49" ]
Current State: 49:[80, 93, 25, 22], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [80, 93, 3] Generated Node #2: [80, 93, 3] from Operation: 25-22=3 Current State: 49:[80, 93, 3], Operations: ['25-22=3'] Exploring Operation: 93/3=31, Resulting Numbers: [80, 31] Generated Node #3: [80, 31] from Operation: 93/3=31 Current State: 49:[80, 31], Operations: ['25-22=3', '93/3=31'] Exploring Operation: 80-31=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 67, 36, 87, 3 ]
46
[ "67+87=154", "36*3=108", "154-108=46" ]
Current State: 46:[67, 36, 87, 3], Operations: [] Exploring Operation: 67+87=154, Resulting Numbers: [36, 3, 154] Generated Node #2: [36, 3, 154] from Operation: 67+87=154 Current State: 46:[36, 3, 154], Operations: ['67+87=154'] Exploring Operation: 36*3=108, Resulting Numbers: [154, 108] Generated Node #3: [154, 108] from Operation: 36*3=108 Current State: 46:[154, 108], Operations: ['67+87=154', '36*3=108'] Exploring Operation: 154-108=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 80, 39, 25, 4 ]
84
[ "80/4=20", "39+25=64", "20+64=84" ]
Current State: 84:[80, 39, 25, 4], Operations: [] Exploring Operation: 80/4=20, Resulting Numbers: [39, 25, 20] Generated Node #2: [39, 25, 20] from Operation: 80/4=20 Current State: 84:[39, 25, 20], Operations: ['80/4=20'] Exploring Operation: 39+25=64, Resulting Numbers: [20, 64] Generated Node #3: [20, 64] from Operation: 39+25=64 Current State: 84:[20, 64], Operations: ['80/4=20', '39+25=64'] Exploring Operation: 20+64=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 12, 44, 14, 3 ]
50
[ "14-12=2", "3*2=6", "44+6=50" ]
Current State: 50:[12, 44, 14, 3], Operations: [] Exploring Operation: 14-12=2, Resulting Numbers: [44, 3, 2] Generated Node #2: [44, 3, 2] from Operation: 14-12=2 Current State: 50:[44, 3, 2], Operations: ['14-12=2'] Exploring Operation: 3*2=6, Resulting Numbers: [44, 6] Generated Node #3: [44, 6] from Operation: 3*2=6 Current State: 50:[44, 6], Operations: ['14-12=2', '3*2=6'] Exploring Operation: 44+6=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 95, 69, 99, 97 ]
24
[ "95-69=26", "99-97=2", "26-2=24" ]
Current State: 24:[95, 69, 99, 97], Operations: [] Exploring Operation: 95-69=26, Resulting Numbers: [99, 97, 26] Generated Node #2: [99, 97, 26] from Operation: 95-69=26 Current State: 24:[99, 97, 26], Operations: ['95-69=26'] Exploring Operation: 99-97=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 99-97=2 Current State: 24:[26, 2], Operations: ['95-69=26', '99-97=2'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 67, 3, 14, 82 ]
70
[ "82-67=15", "15/3=5", "14*5=70" ]
Current State: 70:[67, 3, 14, 82], Operations: [] Exploring Operation: 82-67=15, Resulting Numbers: [3, 14, 15] Generated Node #2: [3, 14, 15] from Operation: 82-67=15 Current State: 70:[3, 14, 15], Operations: ['82-67=15'] Exploring Operation: 15/3=5, Resulting Numbers: [14, 5] Generated Node #3: [14, 5] from Operation: 15/3=5 Current State: 70:[14, 5], Operations: ['82-67=15', '15/3=5'] Exploring Operation: 14*5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 97, 1, 17, 35 ]
95
[ "35-1=34", "34/17=2", "97-2=95" ]
Current State: 95:[97, 1, 17, 35], Operations: [] Exploring Operation: 35-1=34, Resulting Numbers: [97, 17, 34] Generated Node #2: [97, 17, 34] from Operation: 35-1=34 Current State: 95:[97, 17, 34], Operations: ['35-1=34'] Exploring Operation: 34/17=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 34/17=2 Current State: 95:[97, 2], Operations: ['35-1=34', '34/17=2'] Exploring Operation: 97-2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 43, 99, 94, 21 ]
27
[ "43+99=142", "94+21=115", "142-115=27" ]
Current State: 27:[43, 99, 94, 21], Operations: [] Exploring Operation: 43+99=142, Resulting Numbers: [94, 21, 142] Generated Node #2: [94, 21, 142] from Operation: 43+99=142 Current State: 27:[94, 21, 142], Operations: ['43+99=142'] Exploring Operation: 94+21=115, Resulting Numbers: [142, 115] Generated Node #3: [142, 115] from Operation: 94+21=115 Current State: 27:[142, 115], Operations: ['43+99=142', '94+21=115'] Exploring Operation: 142-115=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 98, 6, 62, 44 ]
38
[ "98-62=36", "36/6=6", "44-6=38" ]
Current State: 38:[98, 6, 62, 44], Operations: [] Exploring Operation: 98-62=36, Resulting Numbers: [6, 44, 36] Generated Node #2: [6, 44, 36] from Operation: 98-62=36 Current State: 38:[6, 44, 36], Operations: ['98-62=36'] Exploring Operation: 36/6=6, Resulting Numbers: [44, 6] Generated Node #3: [44, 6] from Operation: 36/6=6 Current State: 38:[44, 6], Operations: ['98-62=36', '36/6=6'] Exploring Operation: 44-6=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 6, 27, 6, 13 ]
90
[ "27-13=14", "6*14=84", "6+84=90" ]
Current State: 90:[6, 27, 6, 13], Operations: [] Exploring Operation: 27-13=14, Resulting Numbers: [6, 6, 14] Generated Node #2: [6, 6, 14] from Operation: 27-13=14 Current State: 90:[6, 6, 14], Operations: ['27-13=14'] Exploring Operation: 6*14=84, Resulting Numbers: [84] 84,90 equal: Goal Reached Exploring Operation: 6+84=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 95, 7, 97, 66 ]
80
[ "97-95=2", "7*2=14", "66+14=80" ]
Current State: 80:[95, 7, 97, 66], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [7, 66, 2] Generated Node #2: [7, 66, 2] from Operation: 97-95=2 Current State: 80:[7, 66, 2], Operations: ['97-95=2'] Exploring Operation: 7*2=14, Resulting Numbers: [66, 14] Generated Node #3: [66, 14] from Operation: 7*2=14 Current State: 80:[66, 14], Operations: ['97-95=2', '7*2=14'] Exploring Operation: 66+14=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 16, 96, 81, 27 ]
18
[ "96/16=6", "81+27=108", "108/6=18" ]
Current State: 18:[16, 96, 81, 27], Operations: [] Exploring Operation: 96/16=6, Resulting Numbers: [81, 27, 6] Generated Node #2: [81, 27, 6] from Operation: 96/16=6 Current State: 18:[81, 27, 6], Operations: ['96/16=6'] Exploring Operation: 81+27=108, Resulting Numbers: [6, 108] Generated Node #3: [6, 108] from Operation: 81+27=108 Current State: 18:[6, 108], Operations: ['96/16=6', '81+27=108'] Exploring Operation: 108/6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 6, 28, 7, 11 ]
68
[ "6+11=17", "28/7=4", "17*4=68" ]
Current State: 68:[6, 28, 7, 11], Operations: [] Exploring Operation: 6+11=17, Resulting Numbers: [28, 7, 17] Generated Node #2: [28, 7, 17] from Operation: 6+11=17 Current State: 68:[28, 7, 17], Operations: ['6+11=17'] Exploring Operation: 28/7=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 28/7=4 Current State: 68:[17, 4], Operations: ['6+11=17', '28/7=4'] Exploring Operation: 17*4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 48, 91, 22, 24 ]
47
[ "48*22=1056", "1056/24=44", "91-44=47" ]
Current State: 47:[48, 91, 22, 24], Operations: [] Exploring Operation: 48*22=1056, Resulting Numbers: [91, 24, 1056] Generated Node #2: [91, 24, 1056] from Operation: 48*22=1056 Current State: 47:[91, 24, 1056], Operations: ['48*22=1056'] Exploring Operation: 1056/24=44, Resulting Numbers: [91, 44] Generated Node #3: [91, 44] from Operation: 1056/24=44 Current State: 47:[91, 44], Operations: ['48*22=1056', '1056/24=44'] Exploring Operation: 91-44=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 66, 4, 14, 50 ]
55
[ "66+4=70", "70/14=5", "50+5=55" ]
Current State: 55:[66, 4, 14, 50], Operations: [] Exploring Operation: 66+4=70, Resulting Numbers: [14, 50, 70] Generated Node #2: [14, 50, 70] from Operation: 66+4=70 Current State: 55:[14, 50, 70], Operations: ['66+4=70'] Exploring Operation: 70/14=5, Resulting Numbers: [50, 5] Generated Node #3: [50, 5] from Operation: 70/14=5 Current State: 55:[50, 5], Operations: ['66+4=70', '70/14=5'] Exploring Operation: 50+5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 51, 6, 87, 14 ]
32
[ "51*14=714", "714/6=119", "119-87=32" ]
Current State: 32:[51, 6, 87, 14], Operations: [] Exploring Operation: 51*14=714, Resulting Numbers: [6, 87, 714] Generated Node #2: [6, 87, 714] from Operation: 51*14=714 Current State: 32:[6, 87, 714], Operations: ['51*14=714'] Exploring Operation: 714/6=119, Resulting Numbers: [87, 119] Generated Node #3: [87, 119] from Operation: 714/6=119 Current State: 32:[87, 119], Operations: ['51*14=714', '714/6=119'] Exploring Operation: 119-87=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 96, 3, 53, 48 ]
53
[ "96/48=2", "3-2=1", "53*1=53" ]
Current State: 53:[96, 3, 53, 48], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [3, 53, 2] Generated Node #2: [3, 53, 2] from Operation: 96/48=2 Current State: 53:[3, 53, 2], Operations: ['96/48=2'] Exploring Operation: 3-2=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 3-2=1 Current State: 53:[53, 1], Operations: ['96/48=2', '3-2=1'] Exploring Operation: 53*1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 40, 25, 5, 75 ]
95
[ "40-25=15", "5+75=80", "15+80=95" ]
Current State: 95:[40, 25, 5, 75], Operations: [] Exploring Operation: 40-25=15, Resulting Numbers: [5, 75, 15] Generated Node #2: [5, 75, 15] from Operation: 40-25=15 Current State: 95:[5, 75, 15], Operations: ['40-25=15'] Exploring Operation: 5+75=80, Resulting Numbers: [15, 80] Generated Node #3: [15, 80] from Operation: 5+75=80 Current State: 95:[15, 80], Operations: ['40-25=15', '5+75=80'] Exploring Operation: 15+80=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 19, 69, 46, 83 ]
13
[ "69-19=50", "83-46=37", "50-37=13" ]
Current State: 13:[19, 69, 46, 83], Operations: [] Exploring Operation: 69-19=50, Resulting Numbers: [46, 83, 50] Generated Node #2: [46, 83, 50] from Operation: 69-19=50 Current State: 13:[46, 83, 50], Operations: ['69-19=50'] Exploring Operation: 83-46=37, Resulting Numbers: [50, 37] Generated Node #3: [50, 37] from Operation: 83-46=37 Current State: 13:[50, 37], Operations: ['69-19=50', '83-46=37'] Exploring Operation: 50-37=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 77, 32, 65, 55 ]
55
[ "77-32=45", "65-55=10", "45+10=55" ]
Current State: 55:[77, 32, 65, 55], Operations: [] Exploring Operation: 77-32=45, Resulting Numbers: [65, 55, 45] Generated Node #2: [65, 55, 45] from Operation: 77-32=45 Current State: 55:[65, 55, 45], Operations: ['77-32=45'] Exploring Operation: 65-55=10, Resulting Numbers: [45, 10] Generated Node #3: [45, 10] from Operation: 65-55=10 Current State: 55:[45, 10], Operations: ['77-32=45', '65-55=10'] Exploring Operation: 45+10=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 76, 67, 71, 8 ]
21
[ "76+8=84", "71-67=4", "84/4=21" ]
Current State: 21:[76, 67, 71, 8], Operations: [] Exploring Operation: 76+8=84, Resulting Numbers: [67, 71, 84] Generated Node #2: [67, 71, 84] from Operation: 76+8=84 Current State: 21:[67, 71, 84], Operations: ['76+8=84'] Exploring Operation: 71-67=4, Resulting Numbers: [84, 4] Generated Node #3: [84, 4] from Operation: 71-67=4 Current State: 21:[84, 4], Operations: ['76+8=84', '71-67=4'] Exploring Operation: 84/4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 57, 24, 44, 49 ]
41
[ "57-49=8", "24/8=3", "44-3=41" ]
Current State: 41:[57, 24, 44, 49], Operations: [] Exploring Operation: 57-49=8, Resulting Numbers: [24, 44, 8] Generated Node #2: [24, 44, 8] from Operation: 57-49=8 Current State: 41:[24, 44, 8], Operations: ['57-49=8'] Exploring Operation: 24/8=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 24/8=3 Current State: 41:[44, 3], Operations: ['57-49=8', '24/8=3'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 40, 44, 29, 19 ]
47
[ "44-40=4", "19*4=76", "76-29=47" ]
Current State: 47:[40, 44, 29, 19], Operations: [] Exploring Operation: 44-40=4, Resulting Numbers: [29, 19, 4] Generated Node #2: [29, 19, 4] from Operation: 44-40=4 Current State: 47:[29, 19, 4], Operations: ['44-40=4'] Exploring Operation: 19*4=76, Resulting Numbers: [29, 76] Generated Node #3: [29, 76] from Operation: 19*4=76 Current State: 47:[29, 76], Operations: ['44-40=4', '19*4=76'] Exploring Operation: 76-29=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 35, 8, 45, 37 ]
43
[ "45-35=10", "8*10=80", "80-37=43" ]
Current State: 43:[35, 8, 45, 37], Operations: [] Exploring Operation: 45-35=10, Resulting Numbers: [8, 37, 10] Generated Node #2: [8, 37, 10] from Operation: 45-35=10 Current State: 43:[8, 37, 10], Operations: ['45-35=10'] Exploring Operation: 8*10=80, Resulting Numbers: [37, 80] Generated Node #3: [37, 80] from Operation: 8*10=80 Current State: 43:[37, 80], Operations: ['45-35=10', '8*10=80'] Exploring Operation: 80-37=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 57, 48, 97, 74 ]
82
[ "57+48=105", "97-74=23", "105-23=82" ]
Current State: 82:[57, 48, 97, 74], Operations: [] Exploring Operation: 57+48=105, Resulting Numbers: [97, 74, 105] Generated Node #2: [97, 74, 105] from Operation: 57+48=105 Current State: 82:[97, 74, 105], Operations: ['57+48=105'] Exploring Operation: 97-74=23, Resulting Numbers: [105, 23] Generated Node #3: [105, 23] from Operation: 97-74=23 Current State: 82:[105, 23], Operations: ['57+48=105', '97-74=23'] Exploring Operation: 105-23=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 3, 39, 39, 5 ]
12
[ "39/39=1", "5-1=4", "3*4=12" ]
Current State: 12:[3, 39, 39, 5], Operations: [] Exploring Operation: 39/39=1, Resulting Numbers: [3, 5, 1] Generated Node #2: [3, 5, 1] from Operation: 39/39=1 Current State: 12:[3, 5, 1], Operations: ['39/39=1'] Exploring Operation: 5-1=4, Resulting Numbers: [3, 4] Generated Node #3: [3, 4] from Operation: 5-1=4 Current State: 12:[3, 4], Operations: ['39/39=1', '5-1=4'] Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 94, 32, 39, 37 ]
90
[ "94*37=3478", "32+3478=3510", "3510/39=90" ]
Current State: 90:[94, 32, 39, 37], Operations: [] Exploring Operation: 94*37=3478, Resulting Numbers: [32, 39, 3478] Generated Node #2: [32, 39, 3478] from Operation: 94*37=3478 Current State: 90:[32, 39, 3478], Operations: ['94*37=3478'] Exploring Operation: 32+3478=3510, Resulting Numbers: [39, 3510] Generated Node #3: [39, 3510] from Operation: 32+3478=3510 Current State: 90:[39, 3510], Operations: ['94*37=3478', '32+3478=3510'] Exploring Operation: 3510/39=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 26, 7, 11, 53 ]
75
[ "26+7=33", "53-11=42", "33+42=75" ]
Current State: 75:[26, 7, 11, 53], Operations: [] Exploring Operation: 26+7=33, Resulting Numbers: [11, 53, 33] Generated Node #2: [11, 53, 33] from Operation: 26+7=33 Current State: 75:[11, 53, 33], Operations: ['26+7=33'] Exploring Operation: 53-11=42, Resulting Numbers: [33, 42] Generated Node #3: [33, 42] from Operation: 53-11=42 Current State: 75:[33, 42], Operations: ['26+7=33', '53-11=42'] Exploring Operation: 33+42=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 56, 15, 6, 72 ]
40
[ "72-56=16", "15*16=240", "240/6=40" ]
Current State: 40:[56, 15, 6, 72], Operations: [] Exploring Operation: 72-56=16, Resulting Numbers: [15, 6, 16] Generated Node #2: [15, 6, 16] from Operation: 72-56=16 Current State: 40:[15, 6, 16], Operations: ['72-56=16'] Exploring Operation: 15*16=240, Resulting Numbers: [6, 240] Generated Node #3: [6, 240] from Operation: 15*16=240 Current State: 40:[6, 240], Operations: ['72-56=16', '15*16=240'] Exploring Operation: 240/6=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 94, 47, 37, 13 ]
36
[ "47-37=10", "13*10=130", "130-94=36" ]
Current State: 36:[94, 47, 37, 13], Operations: [] Exploring Operation: 47-37=10, Resulting Numbers: [94, 13, 10] Generated Node #2: [94, 13, 10] from Operation: 47-37=10 Current State: 36:[94, 13, 10], Operations: ['47-37=10'] Exploring Operation: 13*10=130, Resulting Numbers: [94, 130] Generated Node #3: [94, 130] from Operation: 13*10=130 Current State: 36:[94, 130], Operations: ['47-37=10', '13*10=130'] Exploring Operation: 130-94=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 5, 94, 74, 46 ]
31
[ "94-5=89", "74+46=120", "120-89=31" ]
Current State: 31:[5, 94, 74, 46], Operations: [] Exploring Operation: 94-5=89, Resulting Numbers: [74, 46, 89] Generated Node #2: [74, 46, 89] from Operation: 94-5=89 Current State: 31:[74, 46, 89], Operations: ['94-5=89'] Exploring Operation: 74+46=120, Resulting Numbers: [89, 120] Generated Node #3: [89, 120] from Operation: 74+46=120 Current State: 31:[89, 120], Operations: ['94-5=89', '74+46=120'] Exploring Operation: 120-89=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 64, 4, 80, 32 ]
72
[ "64*4=256", "256/32=8", "80-8=72" ]
Current State: 72:[64, 4, 80, 32], Operations: [] Exploring Operation: 64*4=256, Resulting Numbers: [80, 32, 256] Generated Node #2: [80, 32, 256] from Operation: 64*4=256 Current State: 72:[80, 32, 256], Operations: ['64*4=256'] Exploring Operation: 256/32=8, Resulting Numbers: [80, 8] Generated Node #3: [80, 8] from Operation: 256/32=8 Current State: 72:[80, 8], Operations: ['64*4=256', '256/32=8'] Exploring Operation: 80-8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 97, 76, 27, 4 ]
51
[ "97-27=70", "76/4=19", "70-19=51" ]
Current State: 51:[97, 76, 27, 4], Operations: [] Exploring Operation: 97-27=70, Resulting Numbers: [76, 4, 70] Generated Node #2: [76, 4, 70] from Operation: 97-27=70 Current State: 51:[76, 4, 70], Operations: ['97-27=70'] Exploring Operation: 76/4=19, Resulting Numbers: [70, 19] Generated Node #3: [70, 19] from Operation: 76/4=19 Current State: 51:[70, 19], Operations: ['97-27=70', '76/4=19'] Exploring Operation: 70-19=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 43, 84, 8, 31 ]
56
[ "43-31=12", "84*8=672", "672/12=56" ]
Current State: 56:[43, 84, 8, 31], Operations: [] Exploring Operation: 43-31=12, Resulting Numbers: [84, 8, 12] Generated Node #2: [84, 8, 12] from Operation: 43-31=12 Current State: 56:[84, 8, 12], Operations: ['43-31=12'] Exploring Operation: 84*8=672, Resulting Numbers: [12, 672] Generated Node #3: [12, 672] from Operation: 84*8=672 Current State: 56:[12, 672], Operations: ['43-31=12', '84*8=672'] Exploring Operation: 672/12=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 34, 93, 36, 24 ]
71
[ "93-34=59", "36-24=12", "59+12=71" ]
Current State: 71:[34, 93, 36, 24], Operations: [] Exploring Operation: 93-34=59, Resulting Numbers: [36, 24, 59] Generated Node #2: [36, 24, 59] from Operation: 93-34=59 Current State: 71:[36, 24, 59], Operations: ['93-34=59'] Exploring Operation: 36-24=12, Resulting Numbers: [59, 12] Generated Node #3: [59, 12] from Operation: 36-24=12 Current State: 71:[59, 12], Operations: ['93-34=59', '36-24=12'] Exploring Operation: 59+12=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 46, 17, 86, 59 ]
90
[ "46+17=63", "86-59=27", "63+27=90" ]
Current State: 90:[46, 17, 86, 59], Operations: [] Exploring Operation: 46+17=63, Resulting Numbers: [86, 59, 63] Generated Node #2: [86, 59, 63] from Operation: 46+17=63 Current State: 90:[86, 59, 63], Operations: ['46+17=63'] Exploring Operation: 86-59=27, Resulting Numbers: [63, 27] Generated Node #3: [63, 27] from Operation: 86-59=27 Current State: 90:[63, 27], Operations: ['46+17=63', '86-59=27'] Exploring Operation: 63+27=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 24, 26, 84, 3 ]
30
[ "26-24=2", "84/3=28", "2+28=30" ]
Current State: 30:[24, 26, 84, 3], Operations: [] Exploring Operation: 26-24=2, Resulting Numbers: [84, 3, 2] Generated Node #2: [84, 3, 2] from Operation: 26-24=2 Current State: 30:[84, 3, 2], Operations: ['26-24=2'] Exploring Operation: 84/3=28, Resulting Numbers: [2, 28] Generated Node #3: [2, 28] from Operation: 84/3=28 Current State: 30:[2, 28], Operations: ['26-24=2', '84/3=28'] Exploring Operation: 2+28=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 68, 12, 35, 48 ]
67
[ "68+12=80", "48-35=13", "80-13=67" ]
Current State: 67:[68, 12, 35, 48], Operations: [] Exploring Operation: 68+12=80, Resulting Numbers: [35, 48, 80] Generated Node #2: [35, 48, 80] from Operation: 68+12=80 Current State: 67:[35, 48, 80], Operations: ['68+12=80'] Exploring Operation: 48-35=13, Resulting Numbers: [80, 13] Generated Node #3: [80, 13] from Operation: 48-35=13 Current State: 67:[80, 13], Operations: ['68+12=80', '48-35=13'] Exploring Operation: 80-13=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 12, 21, 16, 83 ]
88
[ "12*16=192", "21+83=104", "192-104=88" ]
Current State: 88:[12, 21, 16, 83], Operations: [] Exploring Operation: 12*16=192, Resulting Numbers: [21, 83, 192] Generated Node #2: [21, 83, 192] from Operation: 12*16=192 Current State: 88:[21, 83, 192], Operations: ['12*16=192'] Exploring Operation: 21+83=104, Resulting Numbers: [192, 104] Generated Node #3: [192, 104] from Operation: 21+83=104 Current State: 88:[192, 104], Operations: ['12*16=192', '21+83=104'] Exploring Operation: 192-104=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 19, 42, 38, 36 ]
13
[ "19+42=61", "38+36=74", "74-61=13" ]
Current State: 13:[19, 42, 38, 36], Operations: [] Exploring Operation: 19+42=61, Resulting Numbers: [38, 36, 61] Generated Node #2: [38, 36, 61] from Operation: 19+42=61 Current State: 13:[38, 36, 61], Operations: ['19+42=61'] Exploring Operation: 38+36=74, Resulting Numbers: [61, 74] Generated Node #3: [61, 74] from Operation: 38+36=74 Current State: 13:[61, 74], Operations: ['19+42=61', '38+36=74'] Exploring Operation: 74-61=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 60, 52, 58, 94 ]
21
[ "60-58=2", "94-52=42", "42/2=21" ]
Current State: 21:[60, 52, 58, 94], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [52, 94, 2] Generated Node #2: [52, 94, 2] from Operation: 60-58=2 Current State: 21:[52, 94, 2], Operations: ['60-58=2'] Exploring Operation: 94-52=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 94-52=42 Current State: 21:[2, 42], Operations: ['60-58=2', '94-52=42'] Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 12, 4, 94, 10 ]
45
[ "12-10=2", "94-4=90", "90/2=45" ]
Current State: 45:[12, 4, 94, 10], Operations: [] Exploring Operation: 12-10=2, Resulting Numbers: [4, 94, 2] Generated Node #2: [4, 94, 2] from Operation: 12-10=2 Current State: 45:[4, 94, 2], Operations: ['12-10=2'] Exploring Operation: 94-4=90, Resulting Numbers: [2, 90] Generated Node #3: [2, 90] from Operation: 94-4=90 Current State: 45:[2, 90], Operations: ['12-10=2', '94-4=90'] Exploring Operation: 90/2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 96, 61, 52, 37 ]
48
[ "61-37=24", "96/24=4", "52-4=48" ]
Current State: 48:[96, 61, 52, 37], Operations: [] Exploring Operation: 61-37=24, Resulting Numbers: [96, 52, 24] Generated Node #2: [96, 52, 24] from Operation: 61-37=24 Current State: 48:[96, 52, 24], Operations: ['61-37=24'] Exploring Operation: 96/24=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 96/24=4 Current State: 48:[52, 4], Operations: ['61-37=24', '96/24=4'] Exploring Operation: 52-4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 4, 81, 84, 67 ]
58
[ "81+84=165", "67+165=232", "232/4=58" ]
Current State: 58:[4, 81, 84, 67], Operations: [] Exploring Operation: 81+84=165, Resulting Numbers: [4, 67, 165] Generated Node #2: [4, 67, 165] from Operation: 81+84=165 Current State: 58:[4, 67, 165], Operations: ['81+84=165'] Exploring Operation: 67+165=232, Resulting Numbers: [4, 232] Generated Node #3: [4, 232] from Operation: 67+165=232 Current State: 58:[4, 232], Operations: ['81+84=165', '67+165=232'] Exploring Operation: 232/4=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 65, 12, 12, 30 ]
71
[ "65-12=53", "30-12=18", "53+18=71" ]
Current State: 71:[65, 12, 12, 30], Operations: [] Exploring Operation: 65-12=53, Resulting Numbers: [30, 53] Generated Node #2: [30, 53] from Operation: 65-12=53 Current State: 71:[30, 53], Operations: ['65-12=53'] Exploring Operation: 30-12=18, Resulting Numbers: [53, 18] Generated Node #3: [53, 18] from Operation: 30-12=18 Current State: 71:[53, 18], Operations: ['65-12=53', '30-12=18'] Exploring Operation: 53+18=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 71, 79, 3, 65 ]
13
[ "79-71=8", "8-3=5", "65/5=13" ]
Current State: 13:[71, 79, 3, 65], Operations: [] Exploring Operation: 79-71=8, Resulting Numbers: [3, 65, 8] Generated Node #2: [3, 65, 8] from Operation: 79-71=8 Current State: 13:[3, 65, 8], Operations: ['79-71=8'] Exploring Operation: 8-3=5, Resulting Numbers: [65, 5] Generated Node #3: [65, 5] from Operation: 8-3=5 Current State: 13:[65, 5], Operations: ['79-71=8', '8-3=5'] Exploring Operation: 65/5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 80, 63, 52, 7 ]
20
[ "63-52=11", "11-7=4", "80/4=20" ]
Current State: 20:[80, 63, 52, 7], Operations: [] Exploring Operation: 63-52=11, Resulting Numbers: [80, 7, 11] Generated Node #2: [80, 7, 11] from Operation: 63-52=11 Current State: 20:[80, 7, 11], Operations: ['63-52=11'] Exploring Operation: 11-7=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 11-7=4 Current State: 20:[80, 4], Operations: ['63-52=11', '11-7=4'] Exploring Operation: 80/4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 54, 34, 54, 59 ]
59
[ "54-54=0", "34*0=0", "59+0=59" ]
Current State: 59:[54, 34, 54, 59], Operations: [] Exploring Operation: 54-54=0, Resulting Numbers: [34, 59, 0] Generated Node #2: [34, 59, 0] from Operation: 54-54=0 Current State: 59:[34, 59, 0], Operations: ['54-54=0'] Exploring Operation: 34*0=0, Resulting Numbers: [59, 0] Generated Node #3: [59, 0] from Operation: 34*0=0 Current State: 59:[59, 0], Operations: ['54-54=0', '34*0=0'] Exploring Operation: 59+0=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 46, 11, 65, 84 ]
92
[ "46+11=57", "65+84=149", "149-57=92" ]
Current State: 92:[46, 11, 65, 84], Operations: [] Exploring Operation: 46+11=57, Resulting Numbers: [65, 84, 57] Generated Node #2: [65, 84, 57] from Operation: 46+11=57 Current State: 92:[65, 84, 57], Operations: ['46+11=57'] Exploring Operation: 65+84=149, Resulting Numbers: [57, 149] Generated Node #3: [57, 149] from Operation: 65+84=149 Current State: 92:[57, 149], Operations: ['46+11=57', '65+84=149'] Exploring Operation: 149-57=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 96, 89, 22, 68 ]
53
[ "96-89=7", "68-22=46", "7+46=53" ]
Current State: 53:[96, 89, 22, 68], Operations: [] Exploring Operation: 96-89=7, Resulting Numbers: [22, 68, 7] Generated Node #2: [22, 68, 7] from Operation: 96-89=7 Current State: 53:[22, 68, 7], Operations: ['96-89=7'] Exploring Operation: 68-22=46, Resulting Numbers: [7, 46] Generated Node #3: [7, 46] from Operation: 68-22=46 Current State: 53:[7, 46], Operations: ['96-89=7', '68-22=46'] Exploring Operation: 7+46=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 80, 90, 75, 3 ]
21
[ "80-75=5", "90/5=18", "3+18=21" ]
Current State: 21:[80, 90, 75, 3], Operations: [] Exploring Operation: 80-75=5, Resulting Numbers: [90, 3, 5] Generated Node #2: [90, 3, 5] from Operation: 80-75=5 Current State: 21:[90, 3, 5], Operations: ['80-75=5'] Exploring Operation: 90/5=18, Resulting Numbers: [3, 18] Generated Node #3: [3, 18] from Operation: 90/5=18 Current State: 21:[3, 18], Operations: ['80-75=5', '90/5=18'] Exploring Operation: 3+18=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 27, 84, 27, 2 ]
86
[ "27+84=111", "27-2=25", "111-25=86" ]
Current State: 86:[27, 84, 27, 2], Operations: [] Exploring Operation: 27+84=111, Resulting Numbers: [2, 111] Generated Node #2: [2, 111] from Operation: 27+84=111 Current State: 86:[2, 111], Operations: ['27+84=111'] Exploring Operation: 27-2=25, Resulting Numbers: [111, 25] Generated Node #3: [111, 25] from Operation: 27-2=25 Current State: 86:[111, 25], Operations: ['27+84=111', '27-2=25'] Exploring Operation: 111-25=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 73, 22, 82, 75 ]
88
[ "73+22=95", "82-75=7", "95-7=88" ]
Current State: 88:[73, 22, 82, 75], Operations: [] Exploring Operation: 73+22=95, Resulting Numbers: [82, 75, 95] Generated Node #2: [82, 75, 95] from Operation: 73+22=95 Current State: 88:[82, 75, 95], Operations: ['73+22=95'] Exploring Operation: 82-75=7, Resulting Numbers: [95, 7] Generated Node #3: [95, 7] from Operation: 82-75=7 Current State: 88:[95, 7], Operations: ['73+22=95', '82-75=7'] Exploring Operation: 95-7=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 58, 8, 6, 32 ]
23
[ "58+32=90", "90/6=15", "8+15=23" ]
Current State: 23:[58, 8, 6, 32], Operations: [] Exploring Operation: 58+32=90, Resulting Numbers: [8, 6, 90] Generated Node #2: [8, 6, 90] from Operation: 58+32=90 Current State: 23:[8, 6, 90], Operations: ['58+32=90'] Exploring Operation: 90/6=15, Resulting Numbers: [8, 15] Generated Node #3: [8, 15] from Operation: 90/6=15 Current State: 23:[8, 15], Operations: ['58+32=90', '90/6=15'] Exploring Operation: 8+15=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 72, 81, 50, 73 ]
59
[ "81-73=8", "72/8=9", "50+9=59" ]
Current State: 59:[72, 81, 50, 73], Operations: [] Exploring Operation: 81-73=8, Resulting Numbers: [72, 50, 8] Generated Node #2: [72, 50, 8] from Operation: 81-73=8 Current State: 59:[72, 50, 8], Operations: ['81-73=8'] Exploring Operation: 72/8=9, Resulting Numbers: [50, 9] Generated Node #3: [50, 9] from Operation: 72/8=9 Current State: 59:[50, 9], Operations: ['81-73=8', '72/8=9'] Exploring Operation: 50+9=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 54, 48, 12, 74 ]
16
[ "54+48=102", "12+74=86", "102-86=16" ]
Current State: 16:[54, 48, 12, 74], Operations: [] Exploring Operation: 54+48=102, Resulting Numbers: [12, 74, 102] Generated Node #2: [12, 74, 102] from Operation: 54+48=102 Current State: 16:[12, 74, 102], Operations: ['54+48=102'] Exploring Operation: 12+74=86, Resulting Numbers: [102, 86] Generated Node #3: [102, 86] from Operation: 12+74=86 Current State: 16:[102, 86], Operations: ['54+48=102', '12+74=86'] Exploring Operation: 102-86=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 3, 80, 23, 99 ]
70
[ "99/3=33", "80+23=103", "103-33=70" ]
Current State: 70:[3, 80, 23, 99], Operations: [] Exploring Operation: 99/3=33, Resulting Numbers: [80, 23, 33] Generated Node #2: [80, 23, 33] from Operation: 99/3=33 Current State: 70:[80, 23, 33], Operations: ['99/3=33'] Exploring Operation: 80+23=103, Resulting Numbers: [33, 103] Generated Node #3: [33, 103] from Operation: 80+23=103 Current State: 70:[33, 103], Operations: ['99/3=33', '80+23=103'] Exploring Operation: 103-33=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 6, 2, 99, 35 ]
41
[ "6-2=4", "35*4=140", "140-99=41" ]
Current State: 41:[6, 2, 99, 35], Operations: [] Exploring Operation: 6-2=4, Resulting Numbers: [99, 35, 4] Generated Node #2: [99, 35, 4] from Operation: 6-2=4 Current State: 41:[99, 35, 4], Operations: ['6-2=4'] Exploring Operation: 35*4=140, Resulting Numbers: [99, 140] Generated Node #3: [99, 140] from Operation: 35*4=140 Current State: 41:[99, 140], Operations: ['6-2=4', '35*4=140'] Exploring Operation: 140-99=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4