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
[ 95, 38, 72, 53 ]
76
[ "95-38=57", "72-53=19", "57+19=76" ]
Current State: 76:[95, 38, 72, 53], Operations: [] Exploring Operation: 95-38=57, Resulting Numbers: [72, 53, 57] Generated Node #2: [72, 53, 57] from Operation: 95-38=57 Current State: 76:[72, 53, 57], Operations: ['95-38=57'] Exploring Operation: 72-53=19, Resulting Numbers: [57, 19] Generated Node #3: [57, 19] from Operation: 72-53=19 Current State: 76:[57, 19], Operations: ['95-38=57', '72-53=19'] Exploring Operation: 57+19=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 81, 40, 85, 19 ]
17
[ "81+40=121", "85+19=104", "121-104=17" ]
Current State: 17:[81, 40, 85, 19], Operations: [] Exploring Operation: 81+40=121, Resulting Numbers: [85, 19, 121] Generated Node #2: [85, 19, 121] from Operation: 81+40=121 Current State: 17:[85, 19, 121], Operations: ['81+40=121'] Exploring Operation: 85+19=104, Resulting Numbers: [121, 104] Generated Node #3: [121, 104] from Operation: 85+19=104 Current State: 17:[121, 104], Operations: ['81+40=121', '85+19=104'] Exploring Operation: 121-104=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 29, 20, 44, 38 ]
33
[ "29+20=49", "44+38=82", "82-49=33" ]
Current State: 33:[29, 20, 44, 38], Operations: [] Exploring Operation: 29+20=49, Resulting Numbers: [44, 38, 49] Generated Node #2: [44, 38, 49] from Operation: 29+20=49 Current State: 33:[44, 38, 49], Operations: ['29+20=49'] Exploring Operation: 44+38=82, Resulting Numbers: [49, 82] Generated Node #3: [49, 82] from Operation: 44+38=82 Current State: 33:[49, 82], Operations: ['29+20=49', '44+38=82'] Exploring Operation: 82-49=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 79, 59, 98, 40 ]
78
[ "79-59=20", "98-40=58", "20+58=78" ]
Current State: 78:[79, 59, 98, 40], Operations: [] Exploring Operation: 79-59=20, Resulting Numbers: [98, 40, 20] Generated Node #2: [98, 40, 20] from Operation: 79-59=20 Current State: 78:[98, 40, 20], Operations: ['79-59=20'] Exploring Operation: 98-40=58, Resulting Numbers: [20, 58] Generated Node #3: [20, 58] from Operation: 98-40=58 Current State: 78:[20, 58], Operations: ['79-59=20', '98-40=58'] Exploring Operation: 20+58=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 46, 86, 6, 8 ]
56
[ "86-6=80", "80/8=10", "46+10=56" ]
Current State: 56:[46, 86, 6, 8], Operations: [] Exploring Operation: 86-6=80, Resulting Numbers: [46, 8, 80] Generated Node #2: [46, 8, 80] from Operation: 86-6=80 Current State: 56:[46, 8, 80], Operations: ['86-6=80'] Exploring Operation: 80/8=10, Resulting Numbers: [46, 10] Generated Node #3: [46, 10] from Operation: 80/8=10 Current State: 56:[46, 10], Operations: ['86-6=80', '80/8=10'] Exploring Operation: 46+10=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 48, 4, 52, 74 ]
40
[ "74-52=22", "4*22=88", "88-48=40" ]
Current State: 40:[48, 4, 52, 74], Operations: [] Exploring Operation: 74-52=22, Resulting Numbers: [48, 4, 22] Generated Node #2: [48, 4, 22] from Operation: 74-52=22 Current State: 40:[48, 4, 22], Operations: ['74-52=22'] Exploring Operation: 4*22=88, Resulting Numbers: [48, 88] Generated Node #3: [48, 88] from Operation: 4*22=88 Current State: 40:[48, 88], Operations: ['74-52=22', '4*22=88'] Exploring Operation: 88-48=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 14, 2, 84, 90 ]
96
[ "14+2=16", "90-84=6", "16*6=96" ]
Current State: 96:[14, 2, 84, 90], Operations: [] Exploring Operation: 14+2=16, Resulting Numbers: [84, 90, 16] Generated Node #2: [84, 90, 16] from Operation: 14+2=16 Current State: 96:[84, 90, 16], Operations: ['14+2=16'] Exploring Operation: 90-84=6, Resulting Numbers: [16, 6] Generated Node #3: [16, 6] from Operation: 90-84=6 Current State: 96:[16, 6], Operations: ['14+2=16', '90-84=6'] Exploring Operation: 16*6=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 18, 14, 49, 62 ]
45
[ "18+14=32", "62-49=13", "32+13=45" ]
Current State: 45:[18, 14, 49, 62], Operations: [] Exploring Operation: 18+14=32, Resulting Numbers: [49, 62, 32] Generated Node #2: [49, 62, 32] from Operation: 18+14=32 Current State: 45:[49, 62, 32], Operations: ['18+14=32'] Exploring Operation: 62-49=13, Resulting Numbers: [32, 13] Generated Node #3: [32, 13] from Operation: 62-49=13 Current State: 45:[32, 13], Operations: ['18+14=32', '62-49=13'] Exploring Operation: 32+13=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 12, 2, 44, 67 ]
83
[ "44-12=32", "32/2=16", "67+16=83" ]
Current State: 83:[12, 2, 44, 67], Operations: [] Exploring Operation: 44-12=32, Resulting Numbers: [2, 67, 32] Generated Node #2: [2, 67, 32] from Operation: 44-12=32 Current State: 83:[2, 67, 32], Operations: ['44-12=32'] Exploring Operation: 32/2=16, Resulting Numbers: [67, 16] Generated Node #3: [67, 16] from Operation: 32/2=16 Current State: 83:[67, 16], Operations: ['44-12=32', '32/2=16'] Exploring Operation: 67+16=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 73, 19, 42, 11 ]
39
[ "73+19=92", "42+11=53", "92-53=39" ]
Current State: 39:[73, 19, 42, 11], Operations: [] Exploring Operation: 73+19=92, Resulting Numbers: [42, 11, 92] Generated Node #2: [42, 11, 92] from Operation: 73+19=92 Current State: 39:[42, 11, 92], Operations: ['73+19=92'] Exploring Operation: 42+11=53, Resulting Numbers: [92, 53] Generated Node #3: [92, 53] from Operation: 42+11=53 Current State: 39:[92, 53], Operations: ['73+19=92', '42+11=53'] Exploring Operation: 92-53=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 20, 37, 7, 53 ]
77
[ "37-20=17", "7+53=60", "17+60=77" ]
Current State: 77:[20, 37, 7, 53], Operations: [] Exploring Operation: 37-20=17, Resulting Numbers: [7, 53, 17] Generated Node #2: [7, 53, 17] from Operation: 37-20=17 Current State: 77:[7, 53, 17], Operations: ['37-20=17'] Exploring Operation: 7+53=60, Resulting Numbers: [17, 60] Generated Node #3: [17, 60] from Operation: 7+53=60 Current State: 77:[17, 60], Operations: ['37-20=17', '7+53=60'] Exploring Operation: 17+60=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 18, 30, 55, 6 ]
22
[ "18-6=12", "55*12=660", "660/30=22" ]
Current State: 22:[18, 30, 55, 6], Operations: [] Exploring Operation: 18-6=12, Resulting Numbers: [30, 55, 12] Generated Node #2: [30, 55, 12] from Operation: 18-6=12 Current State: 22:[30, 55, 12], Operations: ['18-6=12'] Exploring Operation: 55*12=660, Resulting Numbers: [30, 660] Generated Node #3: [30, 660] from Operation: 55*12=660 Current State: 22:[30, 660], Operations: ['18-6=12', '55*12=660'] Exploring Operation: 660/30=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 90, 61, 40, 30 ]
63
[ "90/30=3", "61-40=21", "3*21=63" ]
Current State: 63:[90, 61, 40, 30], Operations: [] Exploring Operation: 90/30=3, Resulting Numbers: [61, 40, 3] Generated Node #2: [61, 40, 3] from Operation: 90/30=3 Current State: 63:[61, 40, 3], Operations: ['90/30=3'] Exploring Operation: 61-40=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 61-40=21 Current State: 63:[3, 21], Operations: ['90/30=3', '61-40=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 20, 83, 47, 66 ]
44
[ "83-20=63", "66-47=19", "63-19=44" ]
Current State: 44:[20, 83, 47, 66], Operations: [] Exploring Operation: 83-20=63, Resulting Numbers: [47, 66, 63] Generated Node #2: [47, 66, 63] from Operation: 83-20=63 Current State: 44:[47, 66, 63], Operations: ['83-20=63'] Exploring Operation: 66-47=19, Resulting Numbers: [63, 19] Generated Node #3: [63, 19] from Operation: 66-47=19 Current State: 44:[63, 19], Operations: ['83-20=63', '66-47=19'] Exploring Operation: 63-19=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 24, 19, 41, 95 ]
22
[ "24-19=5", "95/5=19", "41-19=22" ]
Current State: 22:[24, 19, 41, 95], Operations: [] Exploring Operation: 24-19=5, Resulting Numbers: [41, 95, 5] Generated Node #2: [41, 95, 5] from Operation: 24-19=5 Current State: 22:[41, 95, 5], Operations: ['24-19=5'] Exploring Operation: 95/5=19, Resulting Numbers: [41, 19] Generated Node #3: [41, 19] from Operation: 95/5=19 Current State: 22:[41, 19], Operations: ['24-19=5', '95/5=19'] Exploring Operation: 41-19=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 70, 53, 57, 44 ]
81
[ "57-53=4", "44/4=11", "70+11=81" ]
Current State: 81:[70, 53, 57, 44], Operations: [] Exploring Operation: 57-53=4, Resulting Numbers: [70, 44, 4] Generated Node #2: [70, 44, 4] from Operation: 57-53=4 Current State: 81:[70, 44, 4], Operations: ['57-53=4'] Exploring Operation: 44/4=11, Resulting Numbers: [70, 11] Generated Node #3: [70, 11] from Operation: 44/4=11 Current State: 81:[70, 11], Operations: ['57-53=4', '44/4=11'] Exploring Operation: 70+11=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 90, 29, 29, 76 ]
90
[ "29-29=0", "76*0=0", "90+0=90" ]
Current State: 90:[90, 29, 29, 76], Operations: [] Exploring Operation: 29-29=0, Resulting Numbers: [90, 76, 0] Generated Node #2: [90, 76, 0] from Operation: 29-29=0 Current State: 90:[90, 76, 0], Operations: ['29-29=0'] Exploring Operation: 76*0=0, Resulting Numbers: [90, 0] Generated Node #3: [90, 0] from Operation: 76*0=0 Current State: 90:[90, 0], Operations: ['29-29=0', '76*0=0'] Exploring Operation: 90+0=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 97, 49, 66, 71 ]
100
[ "71-49=22", "66/22=3", "97+3=100" ]
Current State: 100:[97, 49, 66, 71], Operations: [] Exploring Operation: 71-49=22, Resulting Numbers: [97, 66, 22] Generated Node #2: [97, 66, 22] from Operation: 71-49=22 Current State: 100:[97, 66, 22], Operations: ['71-49=22'] Exploring Operation: 66/22=3, Resulting Numbers: [97, 3] Generated Node #3: [97, 3] from Operation: 66/22=3 Current State: 100:[97, 3], Operations: ['71-49=22', '66/22=3'] Exploring Operation: 97+3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 68, 46, 51, 31 ]
87
[ "51-46=5", "31*5=155", "155-68=87" ]
Current State: 87:[68, 46, 51, 31], Operations: [] Exploring Operation: 51-46=5, Resulting Numbers: [68, 31, 5] Generated Node #2: [68, 31, 5] from Operation: 51-46=5 Current State: 87:[68, 31, 5], Operations: ['51-46=5'] Exploring Operation: 31*5=155, Resulting Numbers: [68, 155] Generated Node #3: [68, 155] from Operation: 31*5=155 Current State: 87:[68, 155], Operations: ['51-46=5', '31*5=155'] Exploring Operation: 155-68=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 11, 54, 43, 53 ]
75
[ "11+54=65", "53-43=10", "65+10=75" ]
Current State: 75:[11, 54, 43, 53], Operations: [] Exploring Operation: 11+54=65, Resulting Numbers: [43, 53, 65] Generated Node #2: [43, 53, 65] from Operation: 11+54=65 Current State: 75:[43, 53, 65], Operations: ['11+54=65'] Exploring Operation: 53-43=10, Resulting Numbers: [65, 10] Generated Node #3: [65, 10] from Operation: 53-43=10 Current State: 75:[65, 10], Operations: ['11+54=65', '53-43=10'] Exploring Operation: 65+10=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 33, 16, 94, 49 ]
94
[ "33+16=49", "94+49=143", "143-49=94" ]
Current State: 94:[33, 16, 94, 49], Operations: [] Exploring Operation: 33+16=49, Resulting Numbers: [94, 49, 49] Generated Node #2: [94, 49, 49] from Operation: 33+16=49 Current State: 94:[94, 49, 49], Operations: ['33+16=49'] Exploring Operation: 94+49=143, Resulting Numbers: [143] 143,94 equal: Goal Reached Exploring Operation: 143-49=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 58, 76, 54, 71 ]
10
[ "71-58=13", "76+54=130", "130/13=10" ]
Current State: 10:[58, 76, 54, 71], Operations: [] Exploring Operation: 71-58=13, Resulting Numbers: [76, 54, 13] Generated Node #2: [76, 54, 13] from Operation: 71-58=13 Current State: 10:[76, 54, 13], Operations: ['71-58=13'] Exploring Operation: 76+54=130, Resulting Numbers: [13, 130] Generated Node #3: [13, 130] from Operation: 76+54=130 Current State: 10:[13, 130], Operations: ['71-58=13', '76+54=130'] Exploring Operation: 130/13=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 16, 80, 53, 8 ]
26
[ "16*53=848", "848/8=106", "106-80=26" ]
Current State: 26:[16, 80, 53, 8], Operations: [] Exploring Operation: 16*53=848, Resulting Numbers: [80, 8, 848] Generated Node #2: [80, 8, 848] from Operation: 16*53=848 Current State: 26:[80, 8, 848], Operations: ['16*53=848'] Exploring Operation: 848/8=106, Resulting Numbers: [80, 106] Generated Node #3: [80, 106] from Operation: 848/8=106 Current State: 26:[80, 106], Operations: ['16*53=848', '848/8=106'] Exploring Operation: 106-80=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 13, 59, 78, 80 ]
44
[ "59-13=46", "80-78=2", "46-2=44" ]
Current State: 44:[13, 59, 78, 80], Operations: [] Exploring Operation: 59-13=46, Resulting Numbers: [78, 80, 46] Generated Node #2: [78, 80, 46] from Operation: 59-13=46 Current State: 44:[78, 80, 46], Operations: ['59-13=46'] Exploring Operation: 80-78=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 80-78=2 Current State: 44:[46, 2], Operations: ['59-13=46', '80-78=2'] Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 3, 9, 42, 54 ]
36
[ "9/3=3", "54-42=12", "3*12=36" ]
Current State: 36:[3, 9, 42, 54], Operations: [] Exploring Operation: 9/3=3, Resulting Numbers: [42, 54, 3] Generated Node #2: [42, 54, 3] from Operation: 9/3=3 Current State: 36:[42, 54, 3], Operations: ['9/3=3'] Exploring Operation: 54-42=12, Resulting Numbers: [3, 12] Generated Node #3: [3, 12] from Operation: 54-42=12 Current State: 36:[3, 12], Operations: ['9/3=3', '54-42=12'] Exploring Operation: 3*12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 8, 24, 34, 25 ]
22
[ "25-8=17", "34/17=2", "24-2=22" ]
Current State: 22:[8, 24, 34, 25], Operations: [] Exploring Operation: 25-8=17, Resulting Numbers: [24, 34, 17] Generated Node #2: [24, 34, 17] from Operation: 25-8=17 Current State: 22:[24, 34, 17], Operations: ['25-8=17'] Exploring Operation: 34/17=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 34/17=2 Current State: 22:[24, 2], Operations: ['25-8=17', '34/17=2'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 70, 74, 10, 27 ]
33
[ "74-70=4", "10+27=37", "37-4=33" ]
Current State: 33:[70, 74, 10, 27], Operations: [] Exploring Operation: 74-70=4, Resulting Numbers: [10, 27, 4] Generated Node #2: [10, 27, 4] from Operation: 74-70=4 Current State: 33:[10, 27, 4], Operations: ['74-70=4'] Exploring Operation: 10+27=37, Resulting Numbers: [4, 37] Generated Node #3: [4, 37] from Operation: 10+27=37 Current State: 33:[4, 37], Operations: ['74-70=4', '10+27=37'] Exploring Operation: 37-4=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 38, 4, 35, 28 ]
35
[ "38+4=42", "35-28=7", "42-7=35" ]
Current State: 35:[38, 4, 35, 28], Operations: [] Exploring Operation: 38+4=42, Resulting Numbers: [35, 28, 42] Generated Node #2: [35, 28, 42] from Operation: 38+4=42 Current State: 35:[35, 28, 42], Operations: ['38+4=42'] Exploring Operation: 35-28=7, Resulting Numbers: [42, 7] Generated Node #3: [42, 7] from Operation: 35-28=7 Current State: 35:[42, 7], Operations: ['38+4=42', '35-28=7'] Exploring Operation: 42-7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 87, 17, 4, 9 ]
55
[ "17-9=8", "4*8=32", "87-32=55" ]
Current State: 55:[87, 17, 4, 9], Operations: [] Exploring Operation: 17-9=8, Resulting Numbers: [87, 4, 8] Generated Node #2: [87, 4, 8] from Operation: 17-9=8 Current State: 55:[87, 4, 8], Operations: ['17-9=8'] Exploring Operation: 4*8=32, Resulting Numbers: [87, 32] Generated Node #3: [87, 32] from Operation: 4*8=32 Current State: 55:[87, 32], Operations: ['17-9=8', '4*8=32'] Exploring Operation: 87-32=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 58, 54, 50, 86 ]
37
[ "58*54=3132", "50+3132=3182", "3182/86=37" ]
Current State: 37:[58, 54, 50, 86], Operations: [] Exploring Operation: 58*54=3132, Resulting Numbers: [50, 86, 3132] Generated Node #2: [50, 86, 3132] from Operation: 58*54=3132 Current State: 37:[50, 86, 3132], Operations: ['58*54=3132'] Exploring Operation: 50+3132=3182, Resulting Numbers: [86, 3182] Generated Node #3: [86, 3182] from Operation: 50+3132=3182 Current State: 37:[86, 3182], Operations: ['58*54=3132', '50+3132=3182'] Exploring Operation: 3182/86=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 9, 15, 70, 3 ]
49
[ "9+15=24", "70+3=73", "73-24=49" ]
Current State: 49:[9, 15, 70, 3], Operations: [] Exploring Operation: 9+15=24, Resulting Numbers: [70, 3, 24] Generated Node #2: [70, 3, 24] from Operation: 9+15=24 Current State: 49:[70, 3, 24], Operations: ['9+15=24'] Exploring Operation: 70+3=73, Resulting Numbers: [24, 73] Generated Node #3: [24, 73] from Operation: 70+3=73 Current State: 49:[24, 73], Operations: ['9+15=24', '70+3=73'] Exploring Operation: 73-24=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 18, 59, 32, 20 ]
75
[ "20-18=2", "32/2=16", "59+16=75" ]
Current State: 75:[18, 59, 32, 20], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [59, 32, 2] Generated Node #2: [59, 32, 2] from Operation: 20-18=2 Current State: 75:[59, 32, 2], Operations: ['20-18=2'] Exploring Operation: 32/2=16, Resulting Numbers: [59, 16] Generated Node #3: [59, 16] from Operation: 32/2=16 Current State: 75:[59, 16], Operations: ['20-18=2', '32/2=16'] Exploring Operation: 59+16=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 52, 26, 2, 45 ]
35
[ "52+26=78", "45-2=43", "78-43=35" ]
Current State: 35:[52, 26, 2, 45], Operations: [] Exploring Operation: 52+26=78, Resulting Numbers: [2, 45, 78] Generated Node #2: [2, 45, 78] from Operation: 52+26=78 Current State: 35:[2, 45, 78], Operations: ['52+26=78'] Exploring Operation: 45-2=43, Resulting Numbers: [78, 43] Generated Node #3: [78, 43] from Operation: 45-2=43 Current State: 35:[78, 43], Operations: ['52+26=78', '45-2=43'] Exploring Operation: 78-43=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 32, 4, 22, 60 ]
54
[ "32-4=28", "22+60=82", "82-28=54" ]
Current State: 54:[32, 4, 22, 60], Operations: [] Exploring Operation: 32-4=28, Resulting Numbers: [22, 60, 28] Generated Node #2: [22, 60, 28] from Operation: 32-4=28 Current State: 54:[22, 60, 28], Operations: ['32-4=28'] Exploring Operation: 22+60=82, Resulting Numbers: [28, 82] Generated Node #3: [28, 82] from Operation: 22+60=82 Current State: 54:[28, 82], Operations: ['32-4=28', '22+60=82'] Exploring Operation: 82-28=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 36, 30, 34, 50 ]
26
[ "36*50=1800", "1800/30=60", "60-34=26" ]
Current State: 26:[36, 30, 34, 50], Operations: [] Exploring Operation: 36*50=1800, Resulting Numbers: [30, 34, 1800] Generated Node #2: [30, 34, 1800] from Operation: 36*50=1800 Current State: 26:[30, 34, 1800], Operations: ['36*50=1800'] Exploring Operation: 1800/30=60, Resulting Numbers: [34, 60] Generated Node #3: [34, 60] from Operation: 1800/30=60 Current State: 26:[34, 60], Operations: ['36*50=1800', '1800/30=60'] Exploring Operation: 60-34=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 6, 58, 25, 4 ]
16
[ "58-4=54", "54/6=9", "25-9=16" ]
Current State: 16:[6, 58, 25, 4], Operations: [] Exploring Operation: 58-4=54, Resulting Numbers: [6, 25, 54] Generated Node #2: [6, 25, 54] from Operation: 58-4=54 Current State: 16:[6, 25, 54], Operations: ['58-4=54'] Exploring Operation: 54/6=9, Resulting Numbers: [25, 9] Generated Node #3: [25, 9] from Operation: 54/6=9 Current State: 16:[25, 9], Operations: ['58-4=54', '54/6=9'] Exploring Operation: 25-9=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 85, 11, 23, 81 ]
67
[ "85-81=4", "11*4=44", "23+44=67" ]
Current State: 67:[85, 11, 23, 81], Operations: [] Exploring Operation: 85-81=4, Resulting Numbers: [11, 23, 4] Generated Node #2: [11, 23, 4] from Operation: 85-81=4 Current State: 67:[11, 23, 4], Operations: ['85-81=4'] Exploring Operation: 11*4=44, Resulting Numbers: [23, 44] Generated Node #3: [23, 44] from Operation: 11*4=44 Current State: 67:[23, 44], Operations: ['85-81=4', '11*4=44'] Exploring Operation: 23+44=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 85, 11, 48, 46 ]
72
[ "85-11=74", "48-46=2", "74-2=72" ]
Current State: 72:[85, 11, 48, 46], Operations: [] Exploring Operation: 85-11=74, Resulting Numbers: [48, 46, 74] Generated Node #2: [48, 46, 74] from Operation: 85-11=74 Current State: 72:[48, 46, 74], Operations: ['85-11=74'] Exploring Operation: 48-46=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 48-46=2 Current State: 72:[74, 2], Operations: ['85-11=74', '48-46=2'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 17, 78, 5, 37 ]
74
[ "37-17=20", "20/5=4", "78-4=74" ]
Current State: 74:[17, 78, 5, 37], Operations: [] Exploring Operation: 37-17=20, Resulting Numbers: [78, 5, 20] Generated Node #2: [78, 5, 20] from Operation: 37-17=20 Current State: 74:[78, 5, 20], Operations: ['37-17=20'] Exploring Operation: 20/5=4, Resulting Numbers: [78, 4] Generated Node #3: [78, 4] from Operation: 20/5=4 Current State: 74:[78, 4], Operations: ['37-17=20', '20/5=4'] Exploring Operation: 78-4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 1, 46, 46, 23 ]
44
[ "1*46=46", "46/23=2", "46-2=44" ]
Current State: 44:[1, 46, 46, 23], Operations: [] Exploring Operation: 1*46=46, Resulting Numbers: [23, 46] Generated Node #2: [23, 46] from Operation: 1*46=46 Current State: 44:[23, 46], Operations: ['1*46=46'] Exploring Operation: 46/23=2, Resulting Numbers: [2] 2,44 equal: Goal Reached Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 5, 32, 37, 7 ]
34
[ "5*7=35", "32+37=69", "69-35=34" ]
Current State: 34:[5, 32, 37, 7], Operations: [] Exploring Operation: 5*7=35, Resulting Numbers: [32, 37, 35] Generated Node #2: [32, 37, 35] from Operation: 5*7=35 Current State: 34:[32, 37, 35], Operations: ['5*7=35'] Exploring Operation: 32+37=69, Resulting Numbers: [35, 69] Generated Node #3: [35, 69] from Operation: 32+37=69 Current State: 34:[35, 69], Operations: ['5*7=35', '32+37=69'] Exploring Operation: 69-35=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 84, 83, 88, 29 ]
58
[ "84-83=1", "88-29=59", "59-1=58" ]
Current State: 58:[84, 83, 88, 29], Operations: [] Exploring Operation: 84-83=1, Resulting Numbers: [88, 29, 1] Generated Node #2: [88, 29, 1] from Operation: 84-83=1 Current State: 58:[88, 29, 1], Operations: ['84-83=1'] Exploring Operation: 88-29=59, Resulting Numbers: [1, 59] Generated Node #3: [1, 59] from Operation: 88-29=59 Current State: 58:[1, 59], Operations: ['84-83=1', '88-29=59'] Exploring Operation: 59-1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 86, 92, 14, 47 ]
67
[ "92-86=6", "14+47=61", "6+61=67" ]
Current State: 67:[86, 92, 14, 47], Operations: [] Exploring Operation: 92-86=6, Resulting Numbers: [14, 47, 6] Generated Node #2: [14, 47, 6] from Operation: 92-86=6 Current State: 67:[14, 47, 6], Operations: ['92-86=6'] Exploring Operation: 14+47=61, Resulting Numbers: [6, 61] Generated Node #3: [6, 61] from Operation: 14+47=61 Current State: 67:[6, 61], Operations: ['92-86=6', '14+47=61'] Exploring Operation: 6+61=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 15, 48, 65, 97 ]
10
[ "97-65=32", "15*32=480", "480/48=10" ]
Current State: 10:[15, 48, 65, 97], Operations: [] Exploring Operation: 97-65=32, Resulting Numbers: [15, 48, 32] Generated Node #2: [15, 48, 32] from Operation: 97-65=32 Current State: 10:[15, 48, 32], Operations: ['97-65=32'] Exploring Operation: 15*32=480, Resulting Numbers: [48, 480] Generated Node #3: [48, 480] from Operation: 15*32=480 Current State: 10:[48, 480], Operations: ['97-65=32', '15*32=480'] Exploring Operation: 480/48=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 76, 18, 26, 15 ]
47
[ "76-18=58", "26-15=11", "58-11=47" ]
Current State: 47:[76, 18, 26, 15], Operations: [] Exploring Operation: 76-18=58, Resulting Numbers: [26, 15, 58] Generated Node #2: [26, 15, 58] from Operation: 76-18=58 Current State: 47:[26, 15, 58], Operations: ['76-18=58'] Exploring Operation: 26-15=11, Resulting Numbers: [58, 11] Generated Node #3: [58, 11] from Operation: 26-15=11 Current State: 47:[58, 11], Operations: ['76-18=58', '26-15=11'] Exploring Operation: 58-11=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 40, 92, 10, 41 ]
21
[ "92-40=52", "41-10=31", "52-31=21" ]
Current State: 21:[40, 92, 10, 41], Operations: [] Exploring Operation: 92-40=52, Resulting Numbers: [10, 41, 52] Generated Node #2: [10, 41, 52] from Operation: 92-40=52 Current State: 21:[10, 41, 52], Operations: ['92-40=52'] Exploring Operation: 41-10=31, Resulting Numbers: [52, 31] Generated Node #3: [52, 31] from Operation: 41-10=31 Current State: 21:[52, 31], Operations: ['92-40=52', '41-10=31'] Exploring Operation: 52-31=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 73, 10, 4, 5 ]
93
[ "10-5=5", "4*5=20", "73+20=93" ]
Current State: 93:[73, 10, 4, 5], Operations: [] Exploring Operation: 10-5=5, Resulting Numbers: [73, 4, 5] Generated Node #2: [73, 4, 5] from Operation: 10-5=5 Current State: 93:[73, 4, 5], Operations: ['10-5=5'] Exploring Operation: 4*5=20, Resulting Numbers: [73, 20] Generated Node #3: [73, 20] from Operation: 4*5=20 Current State: 93:[73, 20], Operations: ['10-5=5', '4*5=20'] Exploring Operation: 73+20=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 55, 6, 3, 84 ]
27
[ "84-55=29", "6/3=2", "29-2=27" ]
Current State: 27:[55, 6, 3, 84], Operations: [] Exploring Operation: 84-55=29, Resulting Numbers: [6, 3, 29] Generated Node #2: [6, 3, 29] from Operation: 84-55=29 Current State: 27:[6, 3, 29], Operations: ['84-55=29'] Exploring Operation: 6/3=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 6/3=2 Current State: 27:[29, 2], Operations: ['84-55=29', '6/3=2'] Exploring Operation: 29-2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 1, 80, 99, 64 ]
45
[ "1*80=80", "99-64=35", "80-35=45" ]
Current State: 45:[1, 80, 99, 64], Operations: [] Exploring Operation: 1*80=80, Resulting Numbers: [99, 64, 80] Generated Node #2: [99, 64, 80] from Operation: 1*80=80 Current State: 45:[99, 64, 80], Operations: ['1*80=80'] Exploring Operation: 99-64=35, Resulting Numbers: [80, 35] Generated Node #3: [80, 35] from Operation: 99-64=35 Current State: 45:[80, 35], Operations: ['1*80=80', '99-64=35'] Exploring Operation: 80-35=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 20, 37, 50, 14 ]
53
[ "37-20=17", "50-14=36", "17+36=53" ]
Current State: 53:[20, 37, 50, 14], Operations: [] Exploring Operation: 37-20=17, Resulting Numbers: [50, 14, 17] Generated Node #2: [50, 14, 17] from Operation: 37-20=17 Current State: 53:[50, 14, 17], Operations: ['37-20=17'] Exploring Operation: 50-14=36, Resulting Numbers: [17, 36] Generated Node #3: [17, 36] from Operation: 50-14=36 Current State: 53:[17, 36], Operations: ['37-20=17', '50-14=36'] Exploring Operation: 17+36=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 71, 15, 52, 42 ]
66
[ "71-15=56", "52-42=10", "56+10=66" ]
Current State: 66:[71, 15, 52, 42], Operations: [] Exploring Operation: 71-15=56, Resulting Numbers: [52, 42, 56] Generated Node #2: [52, 42, 56] from Operation: 71-15=56 Current State: 66:[52, 42, 56], Operations: ['71-15=56'] Exploring Operation: 52-42=10, Resulting Numbers: [56, 10] Generated Node #3: [56, 10] from Operation: 52-42=10 Current State: 66:[56, 10], Operations: ['71-15=56', '52-42=10'] Exploring Operation: 56+10=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 5, 42, 14, 80 ]
84
[ "80/5=16", "16-14=2", "42*2=84" ]
Current State: 84:[5, 42, 14, 80], Operations: [] Exploring Operation: 80/5=16, Resulting Numbers: [42, 14, 16] Generated Node #2: [42, 14, 16] from Operation: 80/5=16 Current State: 84:[42, 14, 16], Operations: ['80/5=16'] Exploring Operation: 16-14=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 16-14=2 Current State: 84:[42, 2], Operations: ['80/5=16', '16-14=2'] Exploring Operation: 42*2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 23, 4, 3, 18 ]
32
[ "23+3=26", "26-18=8", "4*8=32" ]
Current State: 32:[23, 4, 3, 18], Operations: [] Exploring Operation: 23+3=26, Resulting Numbers: [4, 18, 26] Generated Node #2: [4, 18, 26] from Operation: 23+3=26 Current State: 32:[4, 18, 26], Operations: ['23+3=26'] Exploring Operation: 26-18=8, Resulting Numbers: [4, 8] Generated Node #3: [4, 8] from Operation: 26-18=8 Current State: 32:[4, 8], Operations: ['23+3=26', '26-18=8'] Exploring Operation: 4*8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 6, 37, 26, 18 ]
13
[ "37-6=31", "26+18=44", "44-31=13" ]
Current State: 13:[6, 37, 26, 18], Operations: [] Exploring Operation: 37-6=31, Resulting Numbers: [26, 18, 31] Generated Node #2: [26, 18, 31] from Operation: 37-6=31 Current State: 13:[26, 18, 31], Operations: ['37-6=31'] Exploring Operation: 26+18=44, Resulting Numbers: [31, 44] Generated Node #3: [31, 44] from Operation: 26+18=44 Current State: 13:[31, 44], Operations: ['37-6=31', '26+18=44'] Exploring Operation: 44-31=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 21, 51, 83, 56 ]
99
[ "21+51=72", "83-56=27", "72+27=99" ]
Current State: 99:[21, 51, 83, 56], Operations: [] Exploring Operation: 21+51=72, Resulting Numbers: [83, 56, 72] Generated Node #2: [83, 56, 72] from Operation: 21+51=72 Current State: 99:[83, 56, 72], Operations: ['21+51=72'] Exploring Operation: 83-56=27, Resulting Numbers: [72, 27] Generated Node #3: [72, 27] from Operation: 83-56=27 Current State: 99:[72, 27], Operations: ['21+51=72', '83-56=27'] Exploring Operation: 72+27=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 18, 96, 15, 10 ]
84
[ "18*10=180", "180/15=12", "96-12=84" ]
Current State: 84:[18, 96, 15, 10], Operations: [] Exploring Operation: 18*10=180, Resulting Numbers: [96, 15, 180] Generated Node #2: [96, 15, 180] from Operation: 18*10=180 Current State: 84:[96, 15, 180], Operations: ['18*10=180'] Exploring Operation: 180/15=12, Resulting Numbers: [96, 12] Generated Node #3: [96, 12] from Operation: 180/15=12 Current State: 84:[96, 12], Operations: ['18*10=180', '180/15=12'] Exploring Operation: 96-12=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 19, 76, 60, 42 ]
77
[ "19+76=95", "60-42=18", "95-18=77" ]
Current State: 77:[19, 76, 60, 42], Operations: [] Exploring Operation: 19+76=95, Resulting Numbers: [60, 42, 95] Generated Node #2: [60, 42, 95] from Operation: 19+76=95 Current State: 77:[60, 42, 95], Operations: ['19+76=95'] Exploring Operation: 60-42=18, Resulting Numbers: [95, 18] Generated Node #3: [95, 18] from Operation: 60-42=18 Current State: 77:[95, 18], Operations: ['19+76=95', '60-42=18'] Exploring Operation: 95-18=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 65, 10, 77, 5 ]
89
[ "10*77=770", "770/5=154", "154-65=89" ]
Current State: 89:[65, 10, 77, 5], Operations: [] Exploring Operation: 10*77=770, Resulting Numbers: [65, 5, 770] Generated Node #2: [65, 5, 770] from Operation: 10*77=770 Current State: 89:[65, 5, 770], Operations: ['10*77=770'] Exploring Operation: 770/5=154, Resulting Numbers: [65, 154] Generated Node #3: [65, 154] from Operation: 770/5=154 Current State: 89:[65, 154], Operations: ['10*77=770', '770/5=154'] Exploring Operation: 154-65=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 78, 95, 86, 6 ]
24
[ "95-86=9", "6*9=54", "78-54=24" ]
Current State: 24:[78, 95, 86, 6], Operations: [] Exploring Operation: 95-86=9, Resulting Numbers: [78, 6, 9] Generated Node #2: [78, 6, 9] from Operation: 95-86=9 Current State: 24:[78, 6, 9], Operations: ['95-86=9'] Exploring Operation: 6*9=54, Resulting Numbers: [78, 54] Generated Node #3: [78, 54] from Operation: 6*9=54 Current State: 24:[78, 54], Operations: ['95-86=9', '6*9=54'] Exploring Operation: 78-54=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 16, 32, 38, 83 ]
29
[ "32-16=16", "83-38=45", "45-16=29" ]
Current State: 29:[16, 32, 38, 83], Operations: [] Exploring Operation: 32-16=16, Resulting Numbers: [38, 83, 16] Generated Node #2: [38, 83, 16] from Operation: 32-16=16 Current State: 29:[38, 83, 16], Operations: ['32-16=16'] Exploring Operation: 83-38=45, Resulting Numbers: [16, 45] Generated Node #3: [16, 45] from Operation: 83-38=45 Current State: 29:[16, 45], Operations: ['32-16=16', '83-38=45'] Exploring Operation: 45-16=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 94, 71, 55, 45 ]
65
[ "94+71=165", "55+45=100", "165-100=65" ]
Current State: 65:[94, 71, 55, 45], Operations: [] Exploring Operation: 94+71=165, Resulting Numbers: [55, 45, 165] Generated Node #2: [55, 45, 165] from Operation: 94+71=165 Current State: 65:[55, 45, 165], Operations: ['94+71=165'] Exploring Operation: 55+45=100, Resulting Numbers: [165, 100] Generated Node #3: [165, 100] from Operation: 55+45=100 Current State: 65:[165, 100], Operations: ['94+71=165', '55+45=100'] Exploring Operation: 165-100=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 96, 86, 6, 67 ]
83
[ "96-86=10", "6+67=73", "10+73=83" ]
Current State: 83:[96, 86, 6, 67], Operations: [] Exploring Operation: 96-86=10, Resulting Numbers: [6, 67, 10] Generated Node #2: [6, 67, 10] from Operation: 96-86=10 Current State: 83:[6, 67, 10], Operations: ['96-86=10'] Exploring Operation: 6+67=73, Resulting Numbers: [10, 73] Generated Node #3: [10, 73] from Operation: 6+67=73 Current State: 83:[10, 73], Operations: ['96-86=10', '6+67=73'] Exploring Operation: 10+73=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 11, 44, 96, 71 ]
30
[ "11+44=55", "96-71=25", "55-25=30" ]
Current State: 30:[11, 44, 96, 71], Operations: [] Exploring Operation: 11+44=55, Resulting Numbers: [96, 71, 55] Generated Node #2: [96, 71, 55] from Operation: 11+44=55 Current State: 30:[96, 71, 55], Operations: ['11+44=55'] Exploring Operation: 96-71=25, Resulting Numbers: [55, 25] Generated Node #3: [55, 25] from Operation: 96-71=25 Current State: 30:[55, 25], Operations: ['11+44=55', '96-71=25'] Exploring Operation: 55-25=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 39, 2, 72, 47 ]
89
[ "72-47=25", "2*25=50", "39+50=89" ]
Current State: 89:[39, 2, 72, 47], Operations: [] Exploring Operation: 72-47=25, Resulting Numbers: [39, 2, 25] Generated Node #2: [39, 2, 25] from Operation: 72-47=25 Current State: 89:[39, 2, 25], Operations: ['72-47=25'] Exploring Operation: 2*25=50, Resulting Numbers: [39, 50] Generated Node #3: [39, 50] from Operation: 2*25=50 Current State: 89:[39, 50], Operations: ['72-47=25', '2*25=50'] Exploring Operation: 39+50=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 35, 12, 52, 6 ]
85
[ "35+52=87", "12/6=2", "87-2=85" ]
Current State: 85:[35, 12, 52, 6], Operations: [] Exploring Operation: 35+52=87, Resulting Numbers: [12, 6, 87] Generated Node #2: [12, 6, 87] from Operation: 35+52=87 Current State: 85:[12, 6, 87], Operations: ['35+52=87'] Exploring Operation: 12/6=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 12/6=2 Current State: 85:[87, 2], Operations: ['35+52=87', '12/6=2'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 62, 54, 72, 36 ]
27
[ "62-54=8", "72/8=9", "36-9=27" ]
Current State: 27:[62, 54, 72, 36], Operations: [] Exploring Operation: 62-54=8, Resulting Numbers: [72, 36, 8] Generated Node #2: [72, 36, 8] from Operation: 62-54=8 Current State: 27:[72, 36, 8], Operations: ['62-54=8'] Exploring Operation: 72/8=9, Resulting Numbers: [36, 9] Generated Node #3: [36, 9] from Operation: 72/8=9 Current State: 27:[36, 9], Operations: ['62-54=8', '72/8=9'] Exploring Operation: 36-9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 18, 23, 61, 57 ]
49
[ "61-57=4", "18*4=72", "72-23=49" ]
Current State: 49:[18, 23, 61, 57], Operations: [] Exploring Operation: 61-57=4, Resulting Numbers: [18, 23, 4] Generated Node #2: [18, 23, 4] from Operation: 61-57=4 Current State: 49:[18, 23, 4], Operations: ['61-57=4'] Exploring Operation: 18*4=72, Resulting Numbers: [23, 72] Generated Node #3: [23, 72] from Operation: 18*4=72 Current State: 49:[23, 72], Operations: ['61-57=4', '18*4=72'] Exploring Operation: 72-23=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 25, 3, 75, 74 ]
83
[ "75/25=3", "3*3=9", "74+9=83" ]
Current State: 83:[25, 3, 75, 74], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [3, 74, 3] Generated Node #2: [3, 74, 3] from Operation: 75/25=3 Current State: 83:[3, 74, 3], Operations: ['75/25=3'] Exploring Operation: 3*3=9, Resulting Numbers: [74, 9] Generated Node #3: [74, 9] from Operation: 3*3=9 Current State: 83:[74, 9], Operations: ['75/25=3', '3*3=9'] Exploring Operation: 74+9=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 11, 88, 26, 52 ]
51
[ "88-11=77", "52-26=26", "77-26=51" ]
Current State: 51:[11, 88, 26, 52], Operations: [] Exploring Operation: 88-11=77, Resulting Numbers: [26, 52, 77] Generated Node #2: [26, 52, 77] from Operation: 88-11=77 Current State: 51:[26, 52, 77], Operations: ['88-11=77'] Exploring Operation: 52-26=26, Resulting Numbers: [77, 26] Generated Node #3: [77, 26] from Operation: 52-26=26 Current State: 51:[77, 26], Operations: ['88-11=77', '52-26=26'] Exploring Operation: 77-26=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 41, 47, 55, 47 ]
55
[ "47-47=0", "41*0=0", "55+0=55" ]
Current State: 55:[41, 47, 55, 47], Operations: [] Exploring Operation: 47-47=0, Resulting Numbers: [41, 55, 0] Generated Node #2: [41, 55, 0] from Operation: 47-47=0 Current State: 55:[41, 55, 0], Operations: ['47-47=0'] Exploring Operation: 41*0=0, Resulting Numbers: [55, 0] Generated Node #3: [55, 0] from Operation: 41*0=0 Current State: 55:[55, 0], Operations: ['47-47=0', '41*0=0'] Exploring Operation: 55+0=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 54, 15, 24, 2 ]
61
[ "54-15=39", "24-2=22", "39+22=61" ]
Current State: 61:[54, 15, 24, 2], Operations: [] Exploring Operation: 54-15=39, Resulting Numbers: [24, 2, 39] Generated Node #2: [24, 2, 39] from Operation: 54-15=39 Current State: 61:[24, 2, 39], Operations: ['54-15=39'] Exploring Operation: 24-2=22, Resulting Numbers: [39, 22] Generated Node #3: [39, 22] from Operation: 24-2=22 Current State: 61:[39, 22], Operations: ['54-15=39', '24-2=22'] Exploring Operation: 39+22=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 53, 50, 81, 40 ]
38
[ "53-50=3", "81-40=41", "41-3=38" ]
Current State: 38:[53, 50, 81, 40], Operations: [] Exploring Operation: 53-50=3, Resulting Numbers: [81, 40, 3] Generated Node #2: [81, 40, 3] from Operation: 53-50=3 Current State: 38:[81, 40, 3], Operations: ['53-50=3'] Exploring Operation: 81-40=41, Resulting Numbers: [3, 41] Generated Node #3: [3, 41] from Operation: 81-40=41 Current State: 38:[3, 41], Operations: ['53-50=3', '81-40=41'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 6, 9, 18, 52 ]
98
[ "18/9=2", "52*2=104", "104-6=98" ]
Current State: 98:[6, 9, 18, 52], Operations: [] Exploring Operation: 18/9=2, Resulting Numbers: [6, 52, 2] Generated Node #2: [6, 52, 2] from Operation: 18/9=2 Current State: 98:[6, 52, 2], Operations: ['18/9=2'] Exploring Operation: 52*2=104, Resulting Numbers: [6, 104] Generated Node #3: [6, 104] from Operation: 52*2=104 Current State: 98:[6, 104], Operations: ['18/9=2', '52*2=104'] Exploring Operation: 104-6=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 75, 14, 79, 51 ]
73
[ "79-51=28", "28/14=2", "75-2=73" ]
Current State: 73:[75, 14, 79, 51], Operations: [] Exploring Operation: 79-51=28, Resulting Numbers: [75, 14, 28] Generated Node #2: [75, 14, 28] from Operation: 79-51=28 Current State: 73:[75, 14, 28], Operations: ['79-51=28'] Exploring Operation: 28/14=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 28/14=2 Current State: 73:[75, 2], Operations: ['79-51=28', '28/14=2'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 80, 75, 33, 28 ]
65
[ "33-28=5", "75/5=15", "80-15=65" ]
Current State: 65:[80, 75, 33, 28], Operations: [] Exploring Operation: 33-28=5, Resulting Numbers: [80, 75, 5] Generated Node #2: [80, 75, 5] from Operation: 33-28=5 Current State: 65:[80, 75, 5], Operations: ['33-28=5'] Exploring Operation: 75/5=15, Resulting Numbers: [80, 15] Generated Node #3: [80, 15] from Operation: 75/5=15 Current State: 65:[80, 15], Operations: ['33-28=5', '75/5=15'] Exploring Operation: 80-15=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 64, 62, 2, 15 ]
18
[ "64-15=49", "62/2=31", "49-31=18" ]
Current State: 18:[64, 62, 2, 15], Operations: [] Exploring Operation: 64-15=49, Resulting Numbers: [62, 2, 49] Generated Node #2: [62, 2, 49] from Operation: 64-15=49 Current State: 18:[62, 2, 49], Operations: ['64-15=49'] Exploring Operation: 62/2=31, Resulting Numbers: [49, 31] Generated Node #3: [49, 31] from Operation: 62/2=31 Current State: 18:[49, 31], Operations: ['64-15=49', '62/2=31'] Exploring Operation: 49-31=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 40, 39, 49, 36 ]
84
[ "40-39=1", "49+36=85", "85-1=84" ]
Current State: 84:[40, 39, 49, 36], Operations: [] Exploring Operation: 40-39=1, Resulting Numbers: [49, 36, 1] Generated Node #2: [49, 36, 1] from Operation: 40-39=1 Current State: 84:[49, 36, 1], Operations: ['40-39=1'] Exploring Operation: 49+36=85, Resulting Numbers: [1, 85] Generated Node #3: [1, 85] from Operation: 49+36=85 Current State: 84:[1, 85], Operations: ['40-39=1', '49+36=85'] Exploring Operation: 85-1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 2, 60, 97, 24 ]
11
[ "2+60=62", "97-24=73", "73-62=11" ]
Current State: 11:[2, 60, 97, 24], Operations: [] Exploring Operation: 2+60=62, Resulting Numbers: [97, 24, 62] Generated Node #2: [97, 24, 62] from Operation: 2+60=62 Current State: 11:[97, 24, 62], Operations: ['2+60=62'] Exploring Operation: 97-24=73, Resulting Numbers: [62, 73] Generated Node #3: [62, 73] from Operation: 97-24=73 Current State: 11:[62, 73], Operations: ['2+60=62', '97-24=73'] Exploring Operation: 73-62=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 53, 95, 61, 66 ]
37
[ "95-53=42", "66-61=5", "42-5=37" ]
Current State: 37:[53, 95, 61, 66], Operations: [] Exploring Operation: 95-53=42, Resulting Numbers: [61, 66, 42] Generated Node #2: [61, 66, 42] from Operation: 95-53=42 Current State: 37:[61, 66, 42], Operations: ['95-53=42'] Exploring Operation: 66-61=5, Resulting Numbers: [42, 5] Generated Node #3: [42, 5] from Operation: 66-61=5 Current State: 37:[42, 5], Operations: ['95-53=42', '66-61=5'] Exploring Operation: 42-5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 55, 53, 49, 96 ]
31
[ "53-49=4", "96/4=24", "55-24=31" ]
Current State: 31:[55, 53, 49, 96], Operations: [] Exploring Operation: 53-49=4, Resulting Numbers: [55, 96, 4] Generated Node #2: [55, 96, 4] from Operation: 53-49=4 Current State: 31:[55, 96, 4], Operations: ['53-49=4'] Exploring Operation: 96/4=24, Resulting Numbers: [55, 24] Generated Node #3: [55, 24] from Operation: 96/4=24 Current State: 31:[55, 24], Operations: ['53-49=4', '96/4=24'] Exploring Operation: 55-24=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 40, 5, 14, 4 ]
34
[ "40+14=54", "5*4=20", "54-20=34" ]
Current State: 34:[40, 5, 14, 4], Operations: [] Exploring Operation: 40+14=54, Resulting Numbers: [5, 4, 54] Generated Node #2: [5, 4, 54] from Operation: 40+14=54 Current State: 34:[5, 4, 54], Operations: ['40+14=54'] Exploring Operation: 5*4=20, Resulting Numbers: [54, 20] Generated Node #3: [54, 20] from Operation: 5*4=20 Current State: 34:[54, 20], Operations: ['40+14=54', '5*4=20'] Exploring Operation: 54-20=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 76, 18, 11, 62 ]
54
[ "76-11=65", "65-62=3", "18*3=54" ]
Current State: 54:[76, 18, 11, 62], Operations: [] Exploring Operation: 76-11=65, Resulting Numbers: [18, 62, 65] Generated Node #2: [18, 62, 65] from Operation: 76-11=65 Current State: 54:[18, 62, 65], Operations: ['76-11=65'] Exploring Operation: 65-62=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 65-62=3 Current State: 54:[18, 3], Operations: ['76-11=65', '65-62=3'] Exploring Operation: 18*3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 41, 60, 41, 94 ]
35
[ "41/41=1", "94-60=34", "1+34=35" ]
Current State: 35:[41, 60, 41, 94], Operations: [] Exploring Operation: 41/41=1, Resulting Numbers: [60, 94, 1] Generated Node #2: [60, 94, 1] from Operation: 41/41=1 Current State: 35:[60, 94, 1], Operations: ['41/41=1'] Exploring Operation: 94-60=34, Resulting Numbers: [1, 34] Generated Node #3: [1, 34] from Operation: 94-60=34 Current State: 35:[1, 34], Operations: ['41/41=1', '94-60=34'] Exploring Operation: 1+34=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 56, 91, 15, 30 ]
75
[ "91-56=35", "35-30=5", "15*5=75" ]
Current State: 75:[56, 91, 15, 30], Operations: [] Exploring Operation: 91-56=35, Resulting Numbers: [15, 30, 35] Generated Node #2: [15, 30, 35] from Operation: 91-56=35 Current State: 75:[15, 30, 35], Operations: ['91-56=35'] Exploring Operation: 35-30=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 35-30=5 Current State: 75:[15, 5], Operations: ['91-56=35', '35-30=5'] Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 66, 75, 75, 4 ]
61
[ "66-4=62", "75/75=1", "62-1=61" ]
Current State: 61:[66, 75, 75, 4], Operations: [] Exploring Operation: 66-4=62, Resulting Numbers: [75, 75, 62] Generated Node #2: [75, 75, 62] from Operation: 66-4=62 Current State: 61:[75, 75, 62], Operations: ['66-4=62'] Exploring Operation: 75/75=1, Resulting Numbers: [62, 1] Generated Node #3: [62, 1] from Operation: 75/75=1 Current State: 61:[62, 1], Operations: ['66-4=62', '75/75=1'] Exploring Operation: 62-1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 34, 40, 78, 85 ]
72
[ "40-34=6", "78/6=13", "85-13=72" ]
Current State: 72:[34, 40, 78, 85], Operations: [] Exploring Operation: 40-34=6, Resulting Numbers: [78, 85, 6] Generated Node #2: [78, 85, 6] from Operation: 40-34=6 Current State: 72:[78, 85, 6], Operations: ['40-34=6'] Exploring Operation: 78/6=13, Resulting Numbers: [85, 13] Generated Node #3: [85, 13] from Operation: 78/6=13 Current State: 72:[85, 13], Operations: ['40-34=6', '78/6=13'] Exploring Operation: 85-13=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 71, 1, 25, 1 ]
94
[ "71-1=70", "25-1=24", "70+24=94" ]
Current State: 94:[71, 1, 25, 1], Operations: [] Exploring Operation: 71-1=70, Resulting Numbers: [25, 70] Generated Node #2: [25, 70] from Operation: 71-1=70 Current State: 94:[25, 70], Operations: ['71-1=70'] Exploring Operation: 25-1=24, Resulting Numbers: [70, 24] Generated Node #3: [70, 24] from Operation: 25-1=24 Current State: 94:[70, 24], Operations: ['71-1=70', '25-1=24'] Exploring Operation: 70+24=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 32, 22, 36, 5 ]
86
[ "32-22=10", "5*10=50", "36+50=86" ]
Current State: 86:[32, 22, 36, 5], Operations: [] Exploring Operation: 32-22=10, Resulting Numbers: [36, 5, 10] Generated Node #2: [36, 5, 10] from Operation: 32-22=10 Current State: 86:[36, 5, 10], Operations: ['32-22=10'] Exploring Operation: 5*10=50, Resulting Numbers: [36, 50] Generated Node #3: [36, 50] from Operation: 5*10=50 Current State: 86:[36, 50], Operations: ['32-22=10', '5*10=50'] Exploring Operation: 36+50=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 80, 76, 87, 9 ]
78
[ "80+76=156", "87-9=78", "156-78=78" ]
Current State: 78:[80, 76, 87, 9], Operations: [] Exploring Operation: 80+76=156, Resulting Numbers: [87, 9, 156] Generated Node #2: [87, 9, 156] from Operation: 80+76=156 Current State: 78:[87, 9, 156], Operations: ['80+76=156'] Exploring Operation: 87-9=78, Resulting Numbers: [156, 78] Generated Node #3: [156, 78] from Operation: 87-9=78 Current State: 78:[156, 78], Operations: ['80+76=156', '87-9=78'] Exploring Operation: 156-78=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 19, 74, 50, 86 ]
81
[ "74-19=55", "50+86=136", "136-55=81" ]
Current State: 81:[19, 74, 50, 86], Operations: [] Exploring Operation: 74-19=55, Resulting Numbers: [50, 86, 55] Generated Node #2: [50, 86, 55] from Operation: 74-19=55 Current State: 81:[50, 86, 55], Operations: ['74-19=55'] Exploring Operation: 50+86=136, Resulting Numbers: [55, 136] Generated Node #3: [55, 136] from Operation: 50+86=136 Current State: 81:[55, 136], Operations: ['74-19=55', '50+86=136'] Exploring Operation: 136-55=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 73, 29, 56, 1 ]
100
[ "73-29=44", "56*1=56", "44+56=100" ]
Current State: 100:[73, 29, 56, 1], Operations: [] Exploring Operation: 73-29=44, Resulting Numbers: [56, 1, 44] Generated Node #2: [56, 1, 44] from Operation: 73-29=44 Current State: 100:[56, 1, 44], Operations: ['73-29=44'] Exploring Operation: 56*1=56, Resulting Numbers: [44, 56] Generated Node #3: [44, 56] from Operation: 56*1=56 Current State: 100:[44, 56], Operations: ['73-29=44', '56*1=56'] Exploring Operation: 44+56=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 75, 85, 27, 75 ]
38
[ "85-75=10", "75-27=48", "48-10=38" ]
Current State: 38:[75, 85, 27, 75], Operations: [] Exploring Operation: 85-75=10, Resulting Numbers: [27, 10] Generated Node #2: [27, 10] from Operation: 85-75=10 Current State: 38:[27, 10], Operations: ['85-75=10'] Exploring Operation: 75-27=48, Resulting Numbers: [10, 48] Generated Node #3: [10, 48] from Operation: 75-27=48 Current State: 38:[10, 48], Operations: ['85-75=10', '75-27=48'] Exploring Operation: 48-10=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 96, 8, 15, 34 ]
39
[ "96-8=88", "15+34=49", "88-49=39" ]
Current State: 39:[96, 8, 15, 34], Operations: [] Exploring Operation: 96-8=88, Resulting Numbers: [15, 34, 88] Generated Node #2: [15, 34, 88] from Operation: 96-8=88 Current State: 39:[15, 34, 88], Operations: ['96-8=88'] Exploring Operation: 15+34=49, Resulting Numbers: [88, 49] Generated Node #3: [88, 49] from Operation: 15+34=49 Current State: 39:[88, 49], Operations: ['96-8=88', '15+34=49'] Exploring Operation: 88-49=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 23, 50, 55, 10 ]
18
[ "50-23=27", "55-10=45", "45-27=18" ]
Current State: 18:[23, 50, 55, 10], Operations: [] Exploring Operation: 50-23=27, Resulting Numbers: [55, 10, 27] Generated Node #2: [55, 10, 27] from Operation: 50-23=27 Current State: 18:[55, 10, 27], Operations: ['50-23=27'] Exploring Operation: 55-10=45, Resulting Numbers: [27, 45] Generated Node #3: [27, 45] from Operation: 55-10=45 Current State: 18:[27, 45], Operations: ['50-23=27', '55-10=45'] Exploring Operation: 45-27=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 58, 64, 56, 60 ]
48
[ "60-58=2", "56*2=112", "112-64=48" ]
Current State: 48:[58, 64, 56, 60], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [64, 56, 2] Generated Node #2: [64, 56, 2] from Operation: 60-58=2 Current State: 48:[64, 56, 2], Operations: ['60-58=2'] Exploring Operation: 56*2=112, Resulting Numbers: [64, 112] Generated Node #3: [64, 112] from Operation: 56*2=112 Current State: 48:[64, 112], Operations: ['60-58=2', '56*2=112'] Exploring Operation: 112-64=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 31, 12, 76, 24 ]
20
[ "31-12=19", "76/19=4", "24-4=20" ]
Current State: 20:[31, 12, 76, 24], Operations: [] Exploring Operation: 31-12=19, Resulting Numbers: [76, 24, 19] Generated Node #2: [76, 24, 19] from Operation: 31-12=19 Current State: 20:[76, 24, 19], Operations: ['31-12=19'] Exploring Operation: 76/19=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 76/19=4 Current State: 20:[24, 4], Operations: ['31-12=19', '76/19=4'] Exploring Operation: 24-4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 18, 19, 29, 54 ]
51
[ "54/18=3", "19+29=48", "3+48=51" ]
Current State: 51:[18, 19, 29, 54], Operations: [] Exploring Operation: 54/18=3, Resulting Numbers: [19, 29, 3] Generated Node #2: [19, 29, 3] from Operation: 54/18=3 Current State: 51:[19, 29, 3], Operations: ['54/18=3'] Exploring Operation: 19+29=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 19+29=48 Current State: 51:[3, 48], Operations: ['54/18=3', '19+29=48'] Exploring Operation: 3+48=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 27, 1, 19, 67 ]
21
[ "27*1=27", "67-19=48", "48-27=21" ]
Current State: 21:[27, 1, 19, 67], Operations: [] Exploring Operation: 27*1=27, Resulting Numbers: [19, 67, 27] Generated Node #2: [19, 67, 27] from Operation: 27*1=27 Current State: 21:[19, 67, 27], Operations: ['27*1=27'] Exploring Operation: 67-19=48, Resulting Numbers: [27, 48] Generated Node #3: [27, 48] from Operation: 67-19=48 Current State: 21:[27, 48], Operations: ['27*1=27', '67-19=48'] Exploring Operation: 48-27=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 72, 9, 65, 88 ]
90
[ "72-9=63", "65+88=153", "153-63=90" ]
Current State: 90:[72, 9, 65, 88], Operations: [] Exploring Operation: 72-9=63, Resulting Numbers: [65, 88, 63] Generated Node #2: [65, 88, 63] from Operation: 72-9=63 Current State: 90:[65, 88, 63], Operations: ['72-9=63'] Exploring Operation: 65+88=153, Resulting Numbers: [63, 153] Generated Node #3: [63, 153] from Operation: 65+88=153 Current State: 90:[63, 153], Operations: ['72-9=63', '65+88=153'] Exploring Operation: 153-63=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 24, 72, 15, 67 ]
100
[ "72-24=48", "67-15=52", "48+52=100" ]
Current State: 100:[24, 72, 15, 67], Operations: [] Exploring Operation: 72-24=48, Resulting Numbers: [15, 67, 48] Generated Node #2: [15, 67, 48] from Operation: 72-24=48 Current State: 100:[15, 67, 48], Operations: ['72-24=48'] Exploring Operation: 67-15=52, Resulting Numbers: [48, 52] Generated Node #3: [48, 52] from Operation: 67-15=52 Current State: 100:[48, 52], Operations: ['72-24=48', '67-15=52'] Exploring Operation: 48+52=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4