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
[ 90, 49, 74, 19 ]
96
[ "90-49=41", "74-19=55", "41+55=96" ]
Current State: 96:[90, 49, 74, 19], Operations: [] Exploring Operation: 90-49=41, Resulting Numbers: [74, 19, 41] Generated Node #2: [74, 19, 41] from Operation: 90-49=41 Current State: 96:[74, 19, 41], Operations: ['90-49=41'] Exploring Operation: 74-19=55, Resulting Numbers: [41, 55] Generated Node #3: [41, 55] from Operation: 74-19=55 Current State: 96:[41, 55], Operations: ['90-49=41', '74-19=55'] Exploring Operation: 41+55=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 77, 36, 78, 81 ]
65
[ "81-78=3", "36/3=12", "77-12=65" ]
Current State: 65:[77, 36, 78, 81], Operations: [] Exploring Operation: 81-78=3, Resulting Numbers: [77, 36, 3] Generated Node #2: [77, 36, 3] from Operation: 81-78=3 Current State: 65:[77, 36, 3], Operations: ['81-78=3'] Exploring Operation: 36/3=12, Resulting Numbers: [77, 12] Generated Node #3: [77, 12] from Operation: 36/3=12 Current State: 65:[77, 12], Operations: ['81-78=3', '36/3=12'] Exploring Operation: 77-12=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 3, 13, 18, 81 ]
53
[ "13-3=10", "81-18=63", "63-10=53" ]
Current State: 53:[3, 13, 18, 81], Operations: [] Exploring Operation: 13-3=10, Resulting Numbers: [18, 81, 10] Generated Node #2: [18, 81, 10] from Operation: 13-3=10 Current State: 53:[18, 81, 10], Operations: ['13-3=10'] Exploring Operation: 81-18=63, Resulting Numbers: [10, 63] Generated Node #3: [10, 63] from Operation: 81-18=63 Current State: 53:[10, 63], Operations: ['13-3=10', '81-18=63'] Exploring Operation: 63-10=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 34, 43, 22, 4 ]
71
[ "34*4=136", "43+22=65", "136-65=71" ]
Current State: 71:[34, 43, 22, 4], Operations: [] Exploring Operation: 34*4=136, Resulting Numbers: [43, 22, 136] Generated Node #2: [43, 22, 136] from Operation: 34*4=136 Current State: 71:[43, 22, 136], Operations: ['34*4=136'] Exploring Operation: 43+22=65, Resulting Numbers: [136, 65] Generated Node #3: [136, 65] from Operation: 43+22=65 Current State: 71:[136, 65], Operations: ['34*4=136', '43+22=65'] Exploring Operation: 136-65=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 22, 20, 21, 45 ]
60
[ "21+45=66", "66/22=3", "20*3=60" ]
Current State: 60:[22, 20, 21, 45], Operations: [] Exploring Operation: 21+45=66, Resulting Numbers: [22, 20, 66] Generated Node #2: [22, 20, 66] from Operation: 21+45=66 Current State: 60:[22, 20, 66], Operations: ['21+45=66'] Exploring Operation: 66/22=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 66/22=3 Current State: 60:[20, 3], Operations: ['21+45=66', '66/22=3'] Exploring Operation: 20*3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 64, 60, 76, 78 ]
28
[ "78-76=2", "64/2=32", "60-32=28" ]
Current State: 28:[64, 60, 76, 78], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [64, 60, 2] Generated Node #2: [64, 60, 2] from Operation: 78-76=2 Current State: 28:[64, 60, 2], Operations: ['78-76=2'] Exploring Operation: 64/2=32, Resulting Numbers: [60, 32] Generated Node #3: [60, 32] from Operation: 64/2=32 Current State: 28:[60, 32], Operations: ['78-76=2', '64/2=32'] Exploring Operation: 60-32=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 99, 56, 35, 40 ]
32
[ "99-56=43", "35+40=75", "75-43=32" ]
Current State: 32:[99, 56, 35, 40], Operations: [] Exploring Operation: 99-56=43, Resulting Numbers: [35, 40, 43] Generated Node #2: [35, 40, 43] from Operation: 99-56=43 Current State: 32:[35, 40, 43], Operations: ['99-56=43'] Exploring Operation: 35+40=75, Resulting Numbers: [43, 75] Generated Node #3: [43, 75] from Operation: 35+40=75 Current State: 32:[43, 75], Operations: ['99-56=43', '35+40=75'] Exploring Operation: 75-43=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 75, 21, 95, 18 ]
59
[ "75-21=54", "95+18=113", "113-54=59" ]
Current State: 59:[75, 21, 95, 18], Operations: [] Exploring Operation: 75-21=54, Resulting Numbers: [95, 18, 54] Generated Node #2: [95, 18, 54] from Operation: 75-21=54 Current State: 59:[95, 18, 54], Operations: ['75-21=54'] Exploring Operation: 95+18=113, Resulting Numbers: [54, 113] Generated Node #3: [54, 113] from Operation: 95+18=113 Current State: 59:[54, 113], Operations: ['75-21=54', '95+18=113'] Exploring Operation: 113-54=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 8, 10, 47, 51 ]
100
[ "10-8=2", "47+51=98", "2+98=100" ]
Current State: 100:[8, 10, 47, 51], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [47, 51, 2] Generated Node #2: [47, 51, 2] from Operation: 10-8=2 Current State: 100:[47, 51, 2], Operations: ['10-8=2'] Exploring Operation: 47+51=98, Resulting Numbers: [2, 98] Generated Node #3: [2, 98] from Operation: 47+51=98 Current State: 100:[2, 98], Operations: ['10-8=2', '47+51=98'] Exploring Operation: 2+98=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 8, 68, 27, 53 ]
95
[ "8*27=216", "68+53=121", "216-121=95" ]
Current State: 95:[8, 68, 27, 53], Operations: [] Exploring Operation: 8*27=216, Resulting Numbers: [68, 53, 216] Generated Node #2: [68, 53, 216] from Operation: 8*27=216 Current State: 95:[68, 53, 216], Operations: ['8*27=216'] Exploring Operation: 68+53=121, Resulting Numbers: [216, 121] Generated Node #3: [216, 121] from Operation: 68+53=121 Current State: 95:[216, 121], Operations: ['8*27=216', '68+53=121'] Exploring Operation: 216-121=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 16, 10, 2, 28 ]
49
[ "16+28=44", "10/2=5", "44+5=49" ]
Current State: 49:[16, 10, 2, 28], Operations: [] Exploring Operation: 16+28=44, Resulting Numbers: [10, 2, 44] Generated Node #2: [10, 2, 44] from Operation: 16+28=44 Current State: 49:[10, 2, 44], Operations: ['16+28=44'] Exploring Operation: 10/2=5, Resulting Numbers: [44, 5] Generated Node #3: [44, 5] from Operation: 10/2=5 Current State: 49:[44, 5], Operations: ['16+28=44', '10/2=5'] Exploring Operation: 44+5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 4, 96, 15, 72 ]
35
[ "96-4=92", "72-15=57", "92-57=35" ]
Current State: 35:[4, 96, 15, 72], Operations: [] Exploring Operation: 96-4=92, Resulting Numbers: [15, 72, 92] Generated Node #2: [15, 72, 92] from Operation: 96-4=92 Current State: 35:[15, 72, 92], Operations: ['96-4=92'] Exploring Operation: 72-15=57, Resulting Numbers: [92, 57] Generated Node #3: [92, 57] from Operation: 72-15=57 Current State: 35:[92, 57], Operations: ['96-4=92', '72-15=57'] Exploring Operation: 92-57=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 5, 70, 17, 61 ]
94
[ "5*17=85", "70-61=9", "85+9=94" ]
Current State: 94:[5, 70, 17, 61], Operations: [] Exploring Operation: 5*17=85, Resulting Numbers: [70, 61, 85] Generated Node #2: [70, 61, 85] from Operation: 5*17=85 Current State: 94:[70, 61, 85], Operations: ['5*17=85'] Exploring Operation: 70-61=9, Resulting Numbers: [85, 9] Generated Node #3: [85, 9] from Operation: 70-61=9 Current State: 94:[85, 9], Operations: ['5*17=85', '70-61=9'] Exploring Operation: 85+9=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 96, 66, 15, 17 ]
15
[ "96-66=30", "17-15=2", "30/2=15" ]
Current State: 15:[96, 66, 15, 17], Operations: [] Exploring Operation: 96-66=30, Resulting Numbers: [15, 17, 30] Generated Node #2: [15, 17, 30] from Operation: 96-66=30 Current State: 15:[15, 17, 30], Operations: ['96-66=30'] Exploring Operation: 17-15=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 17-15=2 Current State: 15:[30, 2], Operations: ['96-66=30', '17-15=2'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 25, 43, 50, 8 ]
76
[ "43-25=18", "50+8=58", "18+58=76" ]
Current State: 76:[25, 43, 50, 8], Operations: [] Exploring Operation: 43-25=18, Resulting Numbers: [50, 8, 18] Generated Node #2: [50, 8, 18] from Operation: 43-25=18 Current State: 76:[50, 8, 18], Operations: ['43-25=18'] Exploring Operation: 50+8=58, Resulting Numbers: [18, 58] Generated Node #3: [18, 58] from Operation: 50+8=58 Current State: 76:[18, 58], Operations: ['43-25=18', '50+8=58'] Exploring Operation: 18+58=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 86, 24, 31, 72 ]
36
[ "86-24=62", "31*72=2232", "2232/62=36" ]
Current State: 36:[86, 24, 31, 72], Operations: [] Exploring Operation: 86-24=62, Resulting Numbers: [31, 72, 62] Generated Node #2: [31, 72, 62] from Operation: 86-24=62 Current State: 36:[31, 72, 62], Operations: ['86-24=62'] Exploring Operation: 31*72=2232, Resulting Numbers: [62, 2232] Generated Node #3: [62, 2232] from Operation: 31*72=2232 Current State: 36:[62, 2232], Operations: ['86-24=62', '31*72=2232'] Exploring Operation: 2232/62=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 80, 95, 27, 47 ]
91
[ "47-27=20", "80/20=4", "95-4=91" ]
Current State: 91:[80, 95, 27, 47], Operations: [] Exploring Operation: 47-27=20, Resulting Numbers: [80, 95, 20] Generated Node #2: [80, 95, 20] from Operation: 47-27=20 Current State: 91:[80, 95, 20], Operations: ['47-27=20'] Exploring Operation: 80/20=4, Resulting Numbers: [95, 4] Generated Node #3: [95, 4] from Operation: 80/20=4 Current State: 91:[95, 4], Operations: ['47-27=20', '80/20=4'] Exploring Operation: 95-4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 13, 12, 7, 20 ]
38
[ "13+12=25", "20-7=13", "25+13=38" ]
Current State: 38:[13, 12, 7, 20], Operations: [] Exploring Operation: 13+12=25, Resulting Numbers: [7, 20, 25] Generated Node #2: [7, 20, 25] from Operation: 13+12=25 Current State: 38:[7, 20, 25], Operations: ['13+12=25'] Exploring Operation: 20-7=13, Resulting Numbers: [25, 13] Generated Node #3: [25, 13] from Operation: 20-7=13 Current State: 38:[25, 13], Operations: ['13+12=25', '20-7=13'] Exploring Operation: 25+13=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 18, 98, 31, 23 ]
62
[ "18+98=116", "31+23=54", "116-54=62" ]
Current State: 62:[18, 98, 31, 23], Operations: [] Exploring Operation: 18+98=116, Resulting Numbers: [31, 23, 116] Generated Node #2: [31, 23, 116] from Operation: 18+98=116 Current State: 62:[31, 23, 116], Operations: ['18+98=116'] Exploring Operation: 31+23=54, Resulting Numbers: [116, 54] Generated Node #3: [116, 54] from Operation: 31+23=54 Current State: 62:[116, 54], Operations: ['18+98=116', '31+23=54'] Exploring Operation: 116-54=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 2, 33, 53, 11 ]
54
[ "53-2=51", "33/11=3", "51+3=54" ]
Current State: 54:[2, 33, 53, 11], Operations: [] Exploring Operation: 53-2=51, Resulting Numbers: [33, 11, 51] Generated Node #2: [33, 11, 51] from Operation: 53-2=51 Current State: 54:[33, 11, 51], Operations: ['53-2=51'] Exploring Operation: 33/11=3, Resulting Numbers: [51, 3] Generated Node #3: [51, 3] from Operation: 33/11=3 Current State: 54:[51, 3], Operations: ['53-2=51', '33/11=3'] Exploring Operation: 51+3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 6, 41, 29, 68 ]
23
[ "41+29=70", "68+70=138", "138/6=23" ]
Current State: 23:[6, 41, 29, 68], Operations: [] Exploring Operation: 41+29=70, Resulting Numbers: [6, 68, 70] Generated Node #2: [6, 68, 70] from Operation: 41+29=70 Current State: 23:[6, 68, 70], Operations: ['41+29=70'] Exploring Operation: 68+70=138, Resulting Numbers: [6, 138] Generated Node #3: [6, 138] from Operation: 68+70=138 Current State: 23:[6, 138], Operations: ['41+29=70', '68+70=138'] Exploring Operation: 138/6=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 32, 1, 24, 69 ]
96
[ "32*69=2208", "24-1=23", "2208/23=96" ]
Current State: 96:[32, 1, 24, 69], Operations: [] Exploring Operation: 32*69=2208, Resulting Numbers: [1, 24, 2208] Generated Node #2: [1, 24, 2208] from Operation: 32*69=2208 Current State: 96:[1, 24, 2208], Operations: ['32*69=2208'] Exploring Operation: 24-1=23, Resulting Numbers: [2208, 23] Generated Node #3: [2208, 23] from Operation: 24-1=23 Current State: 96:[2208, 23], Operations: ['32*69=2208', '24-1=23'] Exploring Operation: 2208/23=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 69, 76, 26, 47 ]
19
[ "69-26=43", "47-43=4", "76/4=19" ]
Current State: 19:[69, 76, 26, 47], Operations: [] Exploring Operation: 69-26=43, Resulting Numbers: [76, 47, 43] Generated Node #2: [76, 47, 43] from Operation: 69-26=43 Current State: 19:[76, 47, 43], Operations: ['69-26=43'] Exploring Operation: 47-43=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 47-43=4 Current State: 19:[76, 4], Operations: ['69-26=43', '47-43=4'] Exploring Operation: 76/4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 82, 78, 55, 79 ]
28
[ "82-78=4", "79-55=24", "4+24=28" ]
Current State: 28:[82, 78, 55, 79], Operations: [] Exploring Operation: 82-78=4, Resulting Numbers: [55, 79, 4] Generated Node #2: [55, 79, 4] from Operation: 82-78=4 Current State: 28:[55, 79, 4], Operations: ['82-78=4'] Exploring Operation: 79-55=24, Resulting Numbers: [4, 24] Generated Node #3: [4, 24] from Operation: 79-55=24 Current State: 28:[4, 24], Operations: ['82-78=4', '79-55=24'] Exploring Operation: 4+24=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 24, 3, 3, 16 ]
91
[ "24*3=72", "3+16=19", "72+19=91" ]
Current State: 91:[24, 3, 3, 16], Operations: [] Exploring Operation: 24*3=72, Resulting Numbers: [16, 72] Generated Node #2: [16, 72] from Operation: 24*3=72 Current State: 91:[16, 72], Operations: ['24*3=72'] Exploring Operation: 3+16=19, Resulting Numbers: [72, 19] Generated Node #3: [72, 19] from Operation: 3+16=19 Current State: 91:[72, 19], Operations: ['24*3=72', '3+16=19'] Exploring Operation: 72+19=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 98, 1, 55, 83 ]
41
[ "98-1=97", "55+83=138", "138-97=41" ]
Current State: 41:[98, 1, 55, 83], Operations: [] Exploring Operation: 98-1=97, Resulting Numbers: [55, 83, 97] Generated Node #2: [55, 83, 97] from Operation: 98-1=97 Current State: 41:[55, 83, 97], Operations: ['98-1=97'] Exploring Operation: 55+83=138, Resulting Numbers: [97, 138] Generated Node #3: [97, 138] from Operation: 55+83=138 Current State: 41:[97, 138], Operations: ['98-1=97', '55+83=138'] Exploring Operation: 138-97=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 50, 30, 36, 42 ]
25
[ "50*36=1800", "30+42=72", "1800/72=25" ]
Current State: 25:[50, 30, 36, 42], Operations: [] Exploring Operation: 50*36=1800, Resulting Numbers: [30, 42, 1800] Generated Node #2: [30, 42, 1800] from Operation: 50*36=1800 Current State: 25:[30, 42, 1800], Operations: ['50*36=1800'] Exploring Operation: 30+42=72, Resulting Numbers: [1800, 72] Generated Node #3: [1800, 72] from Operation: 30+42=72 Current State: 25:[1800, 72], Operations: ['50*36=1800', '30+42=72'] Exploring Operation: 1800/72=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 48, 98, 32, 94 ]
56
[ "98-94=4", "32/4=8", "48+8=56" ]
Current State: 56:[48, 98, 32, 94], Operations: [] Exploring Operation: 98-94=4, Resulting Numbers: [48, 32, 4] Generated Node #2: [48, 32, 4] from Operation: 98-94=4 Current State: 56:[48, 32, 4], Operations: ['98-94=4'] Exploring Operation: 32/4=8, Resulting Numbers: [48, 8] Generated Node #3: [48, 8] from Operation: 32/4=8 Current State: 56:[48, 8], Operations: ['98-94=4', '32/4=8'] Exploring Operation: 48+8=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 65, 44, 64, 25 ]
60
[ "65-44=21", "64-25=39", "21+39=60" ]
Current State: 60:[65, 44, 64, 25], Operations: [] Exploring Operation: 65-44=21, Resulting Numbers: [64, 25, 21] Generated Node #2: [64, 25, 21] from Operation: 65-44=21 Current State: 60:[64, 25, 21], Operations: ['65-44=21'] Exploring Operation: 64-25=39, Resulting Numbers: [21, 39] Generated Node #3: [21, 39] from Operation: 64-25=39 Current State: 60:[21, 39], Operations: ['65-44=21', '64-25=39'] Exploring Operation: 21+39=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 68, 2, 88, 90 ]
69
[ "2+88=90", "90/90=1", "68+1=69" ]
Current State: 69:[68, 2, 88, 90], Operations: [] Exploring Operation: 2+88=90, Resulting Numbers: [68, 90, 90] Generated Node #2: [68, 90, 90] from Operation: 2+88=90 Current State: 69:[68, 90, 90], Operations: ['2+88=90'] Exploring Operation: 90/90=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 90/90=1 Current State: 69:[68, 1], Operations: ['2+88=90', '90/90=1'] Exploring Operation: 68+1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 3, 67, 21, 11 ]
11
[ "11-3=8", "67+21=88", "88/8=11" ]
Current State: 11:[3, 67, 21, 11], Operations: [] Exploring Operation: 11-3=8, Resulting Numbers: [67, 21, 8] Generated Node #2: [67, 21, 8] from Operation: 11-3=8 Current State: 11:[67, 21, 8], Operations: ['11-3=8'] Exploring Operation: 67+21=88, Resulting Numbers: [8, 88] Generated Node #3: [8, 88] from Operation: 67+21=88 Current State: 11:[8, 88], Operations: ['11-3=8', '67+21=88'] Exploring Operation: 88/8=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 33, 20, 27, 88 ]
85
[ "33+27=60", "60/20=3", "88-3=85" ]
Current State: 85:[33, 20, 27, 88], Operations: [] Exploring Operation: 33+27=60, Resulting Numbers: [20, 88, 60] Generated Node #2: [20, 88, 60] from Operation: 33+27=60 Current State: 85:[20, 88, 60], Operations: ['33+27=60'] Exploring Operation: 60/20=3, Resulting Numbers: [88, 3] Generated Node #3: [88, 3] from Operation: 60/20=3 Current State: 85:[88, 3], Operations: ['33+27=60', '60/20=3'] Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 47, 40, 26, 60 ]
86
[ "26*60=1560", "1560/40=39", "47+39=86" ]
Current State: 86:[47, 40, 26, 60], Operations: [] Exploring Operation: 26*60=1560, Resulting Numbers: [47, 40, 1560] Generated Node #2: [47, 40, 1560] from Operation: 26*60=1560 Current State: 86:[47, 40, 1560], Operations: ['26*60=1560'] Exploring Operation: 1560/40=39, Resulting Numbers: [47, 39] Generated Node #3: [47, 39] from Operation: 1560/40=39 Current State: 86:[47, 39], Operations: ['26*60=1560', '1560/40=39'] Exploring Operation: 47+39=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 69, 6, 27, 51 ]
24
[ "69-51=18", "18/6=3", "27-3=24" ]
Current State: 24:[69, 6, 27, 51], Operations: [] Exploring Operation: 69-51=18, Resulting Numbers: [6, 27, 18] Generated Node #2: [6, 27, 18] from Operation: 69-51=18 Current State: 24:[6, 27, 18], Operations: ['69-51=18'] Exploring Operation: 18/6=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 18/6=3 Current State: 24:[27, 3], Operations: ['69-51=18', '18/6=3'] Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 6, 44, 56, 14 ]
86
[ "56-44=12", "6*12=72", "14+72=86" ]
Current State: 86:[6, 44, 56, 14], Operations: [] Exploring Operation: 56-44=12, Resulting Numbers: [6, 14, 12] Generated Node #2: [6, 14, 12] from Operation: 56-44=12 Current State: 86:[6, 14, 12], Operations: ['56-44=12'] Exploring Operation: 6*12=72, Resulting Numbers: [14, 72] Generated Node #3: [14, 72] from Operation: 6*12=72 Current State: 86:[14, 72], Operations: ['56-44=12', '6*12=72'] Exploring Operation: 14+72=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 23, 11, 5, 24 ]
54
[ "24-23=1", "11*5=55", "55-1=54" ]
Current State: 54:[23, 11, 5, 24], Operations: [] Exploring Operation: 24-23=1, Resulting Numbers: [11, 5, 1] Generated Node #2: [11, 5, 1] from Operation: 24-23=1 Current State: 54:[11, 5, 1], Operations: ['24-23=1'] Exploring Operation: 11*5=55, Resulting Numbers: [1, 55] Generated Node #3: [1, 55] from Operation: 11*5=55 Current State: 54:[1, 55], Operations: ['24-23=1', '11*5=55'] Exploring Operation: 55-1=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 43, 40, 78, 47 ]
42
[ "43+40=83", "78+47=125", "125-83=42" ]
Current State: 42:[43, 40, 78, 47], Operations: [] Exploring Operation: 43+40=83, Resulting Numbers: [78, 47, 83] Generated Node #2: [78, 47, 83] from Operation: 43+40=83 Current State: 42:[78, 47, 83], Operations: ['43+40=83'] Exploring Operation: 78+47=125, Resulting Numbers: [83, 125] Generated Node #3: [83, 125] from Operation: 78+47=125 Current State: 42:[83, 125], Operations: ['43+40=83', '78+47=125'] Exploring Operation: 125-83=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 77, 65, 3, 78 ]
88
[ "77*3=231", "65+78=143", "231-143=88" ]
Current State: 88:[77, 65, 3, 78], Operations: [] Exploring Operation: 77*3=231, Resulting Numbers: [65, 78, 231] Generated Node #2: [65, 78, 231] from Operation: 77*3=231 Current State: 88:[65, 78, 231], Operations: ['77*3=231'] Exploring Operation: 65+78=143, Resulting Numbers: [231, 143] Generated Node #3: [231, 143] from Operation: 65+78=143 Current State: 88:[231, 143], Operations: ['77*3=231', '65+78=143'] Exploring Operation: 231-143=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 73, 6, 93, 24 ]
96
[ "93-73=20", "6*20=120", "120-24=96" ]
Current State: 96:[73, 6, 93, 24], Operations: [] Exploring Operation: 93-73=20, Resulting Numbers: [6, 24, 20] Generated Node #2: [6, 24, 20] from Operation: 93-73=20 Current State: 96:[6, 24, 20], Operations: ['93-73=20'] Exploring Operation: 6*20=120, Resulting Numbers: [24, 120] Generated Node #3: [24, 120] from Operation: 6*20=120 Current State: 96:[24, 120], Operations: ['93-73=20', '6*20=120'] Exploring Operation: 120-24=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 13, 89, 73, 51 ]
48
[ "89-13=76", "73+51=124", "124-76=48" ]
Current State: 48:[13, 89, 73, 51], Operations: [] Exploring Operation: 89-13=76, Resulting Numbers: [73, 51, 76] Generated Node #2: [73, 51, 76] from Operation: 89-13=76 Current State: 48:[73, 51, 76], Operations: ['89-13=76'] Exploring Operation: 73+51=124, Resulting Numbers: [76, 124] Generated Node #3: [76, 124] from Operation: 73+51=124 Current State: 48:[76, 124], Operations: ['89-13=76', '73+51=124'] Exploring Operation: 124-76=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 26, 54, 84, 36 ]
39
[ "54-26=28", "84/28=3", "36+3=39" ]
Current State: 39:[26, 54, 84, 36], Operations: [] Exploring Operation: 54-26=28, Resulting Numbers: [84, 36, 28] Generated Node #2: [84, 36, 28] from Operation: 54-26=28 Current State: 39:[84, 36, 28], Operations: ['54-26=28'] Exploring Operation: 84/28=3, Resulting Numbers: [36, 3] Generated Node #3: [36, 3] from Operation: 84/28=3 Current State: 39:[36, 3], Operations: ['54-26=28', '84/28=3'] Exploring Operation: 36+3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 3, 87, 45, 4 ]
56
[ "87-45=42", "42/3=14", "4*14=56" ]
Current State: 56:[3, 87, 45, 4], Operations: [] Exploring Operation: 87-45=42, Resulting Numbers: [3, 4, 42] Generated Node #2: [3, 4, 42] from Operation: 87-45=42 Current State: 56:[3, 4, 42], Operations: ['87-45=42'] Exploring Operation: 42/3=14, Resulting Numbers: [4, 14] Generated Node #3: [4, 14] from Operation: 42/3=14 Current State: 56:[4, 14], Operations: ['87-45=42', '42/3=14'] Exploring Operation: 4*14=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 74, 8, 79, 75 ]
87
[ "75-74=1", "8+79=87", "1*87=87" ]
Current State: 87:[74, 8, 79, 75], Operations: [] Exploring Operation: 75-74=1, Resulting Numbers: [8, 79, 1] Generated Node #2: [8, 79, 1] from Operation: 75-74=1 Current State: 87:[8, 79, 1], Operations: ['75-74=1'] Exploring Operation: 8+79=87, Resulting Numbers: [1, 87] Generated Node #3: [1, 87] from Operation: 8+79=87 Current State: 87:[1, 87], Operations: ['75-74=1', '8+79=87'] Exploring Operation: 1*87=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 1, 38, 5, 60 ]
94
[ "1+38=39", "60-5=55", "39+55=94" ]
Current State: 94:[1, 38, 5, 60], Operations: [] Exploring Operation: 1+38=39, Resulting Numbers: [5, 60, 39] Generated Node #2: [5, 60, 39] from Operation: 1+38=39 Current State: 94:[5, 60, 39], Operations: ['1+38=39'] Exploring Operation: 60-5=55, Resulting Numbers: [39, 55] Generated Node #3: [39, 55] from Operation: 60-5=55 Current State: 94:[39, 55], Operations: ['1+38=39', '60-5=55'] Exploring Operation: 39+55=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 4, 16, 80, 2 ]
84
[ "80-4=76", "16/2=8", "76+8=84" ]
Current State: 84:[4, 16, 80, 2], Operations: [] Exploring Operation: 80-4=76, Resulting Numbers: [16, 2, 76] Generated Node #2: [16, 2, 76] from Operation: 80-4=76 Current State: 84:[16, 2, 76], Operations: ['80-4=76'] Exploring Operation: 16/2=8, Resulting Numbers: [76, 8] Generated Node #3: [76, 8] from Operation: 16/2=8 Current State: 84:[76, 8], Operations: ['80-4=76', '16/2=8'] Exploring Operation: 76+8=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 23, 79, 24, 69 ]
100
[ "69/23=3", "79+24=103", "103-3=100" ]
Current State: 100:[23, 79, 24, 69], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [79, 24, 3] Generated Node #2: [79, 24, 3] from Operation: 69/23=3 Current State: 100:[79, 24, 3], Operations: ['69/23=3'] Exploring Operation: 79+24=103, Resulting Numbers: [3, 103] Generated Node #3: [3, 103] from Operation: 79+24=103 Current State: 100:[3, 103], Operations: ['69/23=3', '79+24=103'] Exploring Operation: 103-3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 96, 44, 58, 34 ]
32
[ "96*34=3264", "44+58=102", "3264/102=32" ]
Current State: 32:[96, 44, 58, 34], Operations: [] Exploring Operation: 96*34=3264, Resulting Numbers: [44, 58, 3264] Generated Node #2: [44, 58, 3264] from Operation: 96*34=3264 Current State: 32:[44, 58, 3264], Operations: ['96*34=3264'] Exploring Operation: 44+58=102, Resulting Numbers: [3264, 102] Generated Node #3: [3264, 102] from Operation: 44+58=102 Current State: 32:[3264, 102], Operations: ['96*34=3264', '44+58=102'] Exploring Operation: 3264/102=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 49, 66, 66, 64 ]
49
[ "66-66=0", "64*0=0", "49+0=49" ]
Current State: 49:[49, 66, 66, 64], Operations: [] Exploring Operation: 66-66=0, Resulting Numbers: [49, 64, 0] Generated Node #2: [49, 64, 0] from Operation: 66-66=0 Current State: 49:[49, 64, 0], Operations: ['66-66=0'] Exploring Operation: 64*0=0, Resulting Numbers: [49, 0] Generated Node #3: [49, 0] from Operation: 64*0=0 Current State: 49:[49, 0], Operations: ['66-66=0', '64*0=0'] Exploring Operation: 49+0=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 13, 41, 75, 25 ]
50
[ "13*75=975", "41*25=1025", "1025-975=50" ]
Current State: 50:[13, 41, 75, 25], Operations: [] Exploring Operation: 13*75=975, Resulting Numbers: [41, 25, 975] Generated Node #2: [41, 25, 975] from Operation: 13*75=975 Current State: 50:[41, 25, 975], Operations: ['13*75=975'] Exploring Operation: 41*25=1025, Resulting Numbers: [975, 1025] Generated Node #3: [975, 1025] from Operation: 41*25=1025 Current State: 50:[975, 1025], Operations: ['13*75=975', '41*25=1025'] Exploring Operation: 1025-975=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 16, 60, 2, 16 ]
60
[ "16-16=0", "2*0=0", "60+0=60" ]
Current State: 60:[16, 60, 2, 16], Operations: [] Exploring Operation: 16-16=0, Resulting Numbers: [60, 2, 0] Generated Node #2: [60, 2, 0] from Operation: 16-16=0 Current State: 60:[60, 2, 0], Operations: ['16-16=0'] Exploring Operation: 2*0=0, Resulting Numbers: [60, 0] Generated Node #3: [60, 0] from Operation: 2*0=0 Current State: 60:[60, 0], Operations: ['16-16=0', '2*0=0'] Exploring Operation: 60+0=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 61, 42, 14, 38 ]
53
[ "42/14=3", "38*3=114", "114-61=53" ]
Current State: 53:[61, 42, 14, 38], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [61, 38, 3] Generated Node #2: [61, 38, 3] from Operation: 42/14=3 Current State: 53:[61, 38, 3], Operations: ['42/14=3'] Exploring Operation: 38*3=114, Resulting Numbers: [61, 114] Generated Node #3: [61, 114] from Operation: 38*3=114 Current State: 53:[61, 114], Operations: ['42/14=3', '38*3=114'] Exploring Operation: 114-61=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 32, 55, 80, 66 ]
73
[ "32+55=87", "80-66=14", "87-14=73" ]
Current State: 73:[32, 55, 80, 66], Operations: [] Exploring Operation: 32+55=87, Resulting Numbers: [80, 66, 87] Generated Node #2: [80, 66, 87] from Operation: 32+55=87 Current State: 73:[80, 66, 87], Operations: ['32+55=87'] Exploring Operation: 80-66=14, Resulting Numbers: [87, 14] Generated Node #3: [87, 14] from Operation: 80-66=14 Current State: 73:[87, 14], Operations: ['32+55=87', '80-66=14'] Exploring Operation: 87-14=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 13, 11, 60, 47 ]
37
[ "13+11=24", "60-47=13", "24+13=37" ]
Current State: 37:[13, 11, 60, 47], Operations: [] Exploring Operation: 13+11=24, Resulting Numbers: [60, 47, 24] Generated Node #2: [60, 47, 24] from Operation: 13+11=24 Current State: 37:[60, 47, 24], Operations: ['13+11=24'] Exploring Operation: 60-47=13, Resulting Numbers: [24, 13] Generated Node #3: [24, 13] from Operation: 60-47=13 Current State: 37:[24, 13], Operations: ['13+11=24', '60-47=13'] Exploring Operation: 24+13=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 10, 11, 36, 7 ]
76
[ "11-7=4", "10*4=40", "36+40=76" ]
Current State: 76:[10, 11, 36, 7], Operations: [] Exploring Operation: 11-7=4, Resulting Numbers: [10, 36, 4] Generated Node #2: [10, 36, 4] from Operation: 11-7=4 Current State: 76:[10, 36, 4], Operations: ['11-7=4'] Exploring Operation: 10*4=40, Resulting Numbers: [36, 40] Generated Node #3: [36, 40] from Operation: 10*4=40 Current State: 76:[36, 40], Operations: ['11-7=4', '10*4=40'] Exploring Operation: 36+40=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 18, 16, 40, 64 ]
88
[ "18-16=2", "64*2=128", "128-40=88" ]
Current State: 88:[18, 16, 40, 64], Operations: [] Exploring Operation: 18-16=2, Resulting Numbers: [40, 64, 2] Generated Node #2: [40, 64, 2] from Operation: 18-16=2 Current State: 88:[40, 64, 2], Operations: ['18-16=2'] Exploring Operation: 64*2=128, Resulting Numbers: [40, 128] Generated Node #3: [40, 128] from Operation: 64*2=128 Current State: 88:[40, 128], Operations: ['18-16=2', '64*2=128'] Exploring Operation: 128-40=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 25, 39, 73, 89 ]
98
[ "25+39=64", "73+89=162", "162-64=98" ]
Current State: 98:[25, 39, 73, 89], Operations: [] Exploring Operation: 25+39=64, Resulting Numbers: [73, 89, 64] Generated Node #2: [73, 89, 64] from Operation: 25+39=64 Current State: 98:[73, 89, 64], Operations: ['25+39=64'] Exploring Operation: 73+89=162, Resulting Numbers: [64, 162] Generated Node #3: [64, 162] from Operation: 73+89=162 Current State: 98:[64, 162], Operations: ['25+39=64', '73+89=162'] Exploring Operation: 162-64=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 37, 55, 7, 6 ]
60
[ "55-37=18", "7*6=42", "18+42=60" ]
Current State: 60:[37, 55, 7, 6], Operations: [] Exploring Operation: 55-37=18, Resulting Numbers: [7, 6, 18] Generated Node #2: [7, 6, 18] from Operation: 55-37=18 Current State: 60:[7, 6, 18], Operations: ['55-37=18'] Exploring Operation: 7*6=42, Resulting Numbers: [18, 42] Generated Node #3: [18, 42] from Operation: 7*6=42 Current State: 60:[18, 42], Operations: ['55-37=18', '7*6=42'] Exploring Operation: 18+42=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 90, 92, 52, 8 ]
34
[ "92-90=2", "52/2=26", "8+26=34" ]
Current State: 34:[90, 92, 52, 8], Operations: [] Exploring Operation: 92-90=2, Resulting Numbers: [52, 8, 2] Generated Node #2: [52, 8, 2] from Operation: 92-90=2 Current State: 34:[52, 8, 2], Operations: ['92-90=2'] Exploring Operation: 52/2=26, Resulting Numbers: [8, 26] Generated Node #3: [8, 26] from Operation: 52/2=26 Current State: 34:[8, 26], Operations: ['92-90=2', '52/2=26'] Exploring Operation: 8+26=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 99, 42, 23, 31 ]
87
[ "99+42=141", "23+31=54", "141-54=87" ]
Current State: 87:[99, 42, 23, 31], Operations: [] Exploring Operation: 99+42=141, Resulting Numbers: [23, 31, 141] Generated Node #2: [23, 31, 141] from Operation: 99+42=141 Current State: 87:[23, 31, 141], Operations: ['99+42=141'] Exploring Operation: 23+31=54, Resulting Numbers: [141, 54] Generated Node #3: [141, 54] from Operation: 23+31=54 Current State: 87:[141, 54], Operations: ['99+42=141', '23+31=54'] Exploring Operation: 141-54=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 33, 78, 14, 12 ]
99
[ "33*78=2574", "14+12=26", "2574/26=99" ]
Current State: 99:[33, 78, 14, 12], Operations: [] Exploring Operation: 33*78=2574, Resulting Numbers: [14, 12, 2574] Generated Node #2: [14, 12, 2574] from Operation: 33*78=2574 Current State: 99:[14, 12, 2574], Operations: ['33*78=2574'] Exploring Operation: 14+12=26, Resulting Numbers: [2574, 26] Generated Node #3: [2574, 26] from Operation: 14+12=26 Current State: 99:[2574, 26], Operations: ['33*78=2574', '14+12=26'] Exploring Operation: 2574/26=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 98, 3, 51, 68 ]
94
[ "51/3=17", "68/17=4", "98-4=94" ]
Current State: 94:[98, 3, 51, 68], Operations: [] Exploring Operation: 51/3=17, Resulting Numbers: [98, 68, 17] Generated Node #2: [98, 68, 17] from Operation: 51/3=17 Current State: 94:[98, 68, 17], Operations: ['51/3=17'] Exploring Operation: 68/17=4, Resulting Numbers: [98, 4] Generated Node #3: [98, 4] from Operation: 68/17=4 Current State: 94:[98, 4], Operations: ['51/3=17', '68/17=4'] Exploring Operation: 98-4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 53, 55, 27, 26 ]
25
[ "55-53=2", "26*2=52", "52-27=25" ]
Current State: 25:[53, 55, 27, 26], Operations: [] Exploring Operation: 55-53=2, Resulting Numbers: [27, 26, 2] Generated Node #2: [27, 26, 2] from Operation: 55-53=2 Current State: 25:[27, 26, 2], Operations: ['55-53=2'] Exploring Operation: 26*2=52, Resulting Numbers: [27, 52] Generated Node #3: [27, 52] from Operation: 26*2=52 Current State: 25:[27, 52], Operations: ['55-53=2', '26*2=52'] Exploring Operation: 52-27=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 6, 85, 73, 88 ]
44
[ "6*88=528", "85-73=12", "528/12=44" ]
Current State: 44:[6, 85, 73, 88], Operations: [] Exploring Operation: 6*88=528, Resulting Numbers: [85, 73, 528] Generated Node #2: [85, 73, 528] from Operation: 6*88=528 Current State: 44:[85, 73, 528], Operations: ['6*88=528'] Exploring Operation: 85-73=12, Resulting Numbers: [528, 12] Generated Node #3: [528, 12] from Operation: 85-73=12 Current State: 44:[528, 12], Operations: ['6*88=528', '85-73=12'] Exploring Operation: 528/12=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 76, 61, 97, 61 ]
21
[ "76+61=137", "97+61=158", "158-137=21" ]
Current State: 21:[76, 61, 97, 61], Operations: [] Exploring Operation: 76+61=137, Resulting Numbers: [97, 137] Generated Node #2: [97, 137] from Operation: 76+61=137 Current State: 21:[97, 137], Operations: ['76+61=137'] Exploring Operation: 97+61=158, Resulting Numbers: [137, 158] Generated Node #3: [137, 158] from Operation: 97+61=158 Current State: 21:[137, 158], Operations: ['76+61=137', '97+61=158'] Exploring Operation: 158-137=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 2, 17, 25, 87 ]
60
[ "87-17=70", "70/2=35", "25+35=60" ]
Current State: 60:[2, 17, 25, 87], Operations: [] Exploring Operation: 87-17=70, Resulting Numbers: [2, 25, 70] Generated Node #2: [2, 25, 70] from Operation: 87-17=70 Current State: 60:[2, 25, 70], Operations: ['87-17=70'] Exploring Operation: 70/2=35, Resulting Numbers: [25, 35] Generated Node #3: [25, 35] from Operation: 70/2=35 Current State: 60:[25, 35], Operations: ['87-17=70', '70/2=35'] Exploring Operation: 25+35=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 6, 88, 80, 45 ]
47
[ "88-6=82", "80-45=35", "82-35=47" ]
Current State: 47:[6, 88, 80, 45], Operations: [] Exploring Operation: 88-6=82, Resulting Numbers: [80, 45, 82] Generated Node #2: [80, 45, 82] from Operation: 88-6=82 Current State: 47:[80, 45, 82], Operations: ['88-6=82'] Exploring Operation: 80-45=35, Resulting Numbers: [82, 35] Generated Node #3: [82, 35] from Operation: 80-45=35 Current State: 47:[82, 35], Operations: ['88-6=82', '80-45=35'] Exploring Operation: 82-35=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 2, 37, 84, 72 ]
43
[ "84-72=12", "12/2=6", "37+6=43" ]
Current State: 43:[2, 37, 84, 72], Operations: [] Exploring Operation: 84-72=12, Resulting Numbers: [2, 37, 12] Generated Node #2: [2, 37, 12] from Operation: 84-72=12 Current State: 43:[2, 37, 12], Operations: ['84-72=12'] Exploring Operation: 12/2=6, Resulting Numbers: [37, 6] Generated Node #3: [37, 6] from Operation: 12/2=6 Current State: 43:[37, 6], Operations: ['84-72=12', '12/2=6'] Exploring Operation: 37+6=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 79, 80, 57, 4 ]
13
[ "80-57=23", "4*23=92", "92-79=13" ]
Current State: 13:[79, 80, 57, 4], Operations: [] Exploring Operation: 80-57=23, Resulting Numbers: [79, 4, 23] Generated Node #2: [79, 4, 23] from Operation: 80-57=23 Current State: 13:[79, 4, 23], Operations: ['80-57=23'] Exploring Operation: 4*23=92, Resulting Numbers: [79, 92] Generated Node #3: [79, 92] from Operation: 4*23=92 Current State: 13:[79, 92], Operations: ['80-57=23', '4*23=92'] Exploring Operation: 92-79=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 92, 45, 56, 63 ]
18
[ "92+45=137", "56+63=119", "137-119=18" ]
Current State: 18:[92, 45, 56, 63], Operations: [] Exploring Operation: 92+45=137, Resulting Numbers: [56, 63, 137] Generated Node #2: [56, 63, 137] from Operation: 92+45=137 Current State: 18:[56, 63, 137], Operations: ['92+45=137'] Exploring Operation: 56+63=119, Resulting Numbers: [137, 119] Generated Node #3: [137, 119] from Operation: 56+63=119 Current State: 18:[137, 119], Operations: ['92+45=137', '56+63=119'] Exploring Operation: 137-119=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 83, 64, 1, 69 ]
49
[ "83-64=19", "69-1=68", "68-19=49" ]
Current State: 49:[83, 64, 1, 69], Operations: [] Exploring Operation: 83-64=19, Resulting Numbers: [1, 69, 19] Generated Node #2: [1, 69, 19] from Operation: 83-64=19 Current State: 49:[1, 69, 19], Operations: ['83-64=19'] Exploring Operation: 69-1=68, Resulting Numbers: [19, 68] Generated Node #3: [19, 68] from Operation: 69-1=68 Current State: 49:[19, 68], Operations: ['83-64=19', '69-1=68'] Exploring Operation: 68-19=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 89, 37, 71, 40 ]
92
[ "71+40=111", "111/37=3", "89+3=92" ]
Current State: 92:[89, 37, 71, 40], Operations: [] Exploring Operation: 71+40=111, Resulting Numbers: [89, 37, 111] Generated Node #2: [89, 37, 111] from Operation: 71+40=111 Current State: 92:[89, 37, 111], Operations: ['71+40=111'] Exploring Operation: 111/37=3, Resulting Numbers: [89, 3] Generated Node #3: [89, 3] from Operation: 111/37=3 Current State: 92:[89, 3], Operations: ['71+40=111', '111/37=3'] Exploring Operation: 89+3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 12, 35, 11, 90 ]
55
[ "12-11=1", "90-35=55", "1*55=55" ]
Current State: 55:[12, 35, 11, 90], Operations: [] Exploring Operation: 12-11=1, Resulting Numbers: [35, 90, 1] Generated Node #2: [35, 90, 1] from Operation: 12-11=1 Current State: 55:[35, 90, 1], Operations: ['12-11=1'] Exploring Operation: 90-35=55, Resulting Numbers: [1, 55] Generated Node #3: [1, 55] from Operation: 90-35=55 Current State: 55:[1, 55], Operations: ['12-11=1', '90-35=55'] Exploring Operation: 1*55=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 19, 41, 26, 57 ]
61
[ "41-19=22", "26+57=83", "83-22=61" ]
Current State: 61:[19, 41, 26, 57], Operations: [] Exploring Operation: 41-19=22, Resulting Numbers: [26, 57, 22] Generated Node #2: [26, 57, 22] from Operation: 41-19=22 Current State: 61:[26, 57, 22], Operations: ['41-19=22'] Exploring Operation: 26+57=83, Resulting Numbers: [22, 83] Generated Node #3: [22, 83] from Operation: 26+57=83 Current State: 61:[22, 83], Operations: ['41-19=22', '26+57=83'] Exploring Operation: 83-22=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 77, 14, 91, 35 ]
36
[ "77+14=91", "91/91=1", "35+1=36" ]
Current State: 36:[77, 14, 91, 35], Operations: [] Exploring Operation: 77+14=91, Resulting Numbers: [91, 35, 91] Generated Node #2: [91, 35, 91] from Operation: 77+14=91 Current State: 36:[91, 35, 91], Operations: ['77+14=91'] Exploring Operation: 91/91=1, Resulting Numbers: [35, 1] Generated Node #3: [35, 1] from Operation: 91/91=1 Current State: 36:[35, 1], Operations: ['77+14=91', '91/91=1'] Exploring Operation: 35+1=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 8, 40, 32, 48 ]
38
[ "8*40=320", "320/32=10", "48-10=38" ]
Current State: 38:[8, 40, 32, 48], Operations: [] Exploring Operation: 8*40=320, Resulting Numbers: [32, 48, 320] Generated Node #2: [32, 48, 320] from Operation: 8*40=320 Current State: 38:[32, 48, 320], Operations: ['8*40=320'] Exploring Operation: 320/32=10, Resulting Numbers: [48, 10] Generated Node #3: [48, 10] from Operation: 320/32=10 Current State: 38:[48, 10], Operations: ['8*40=320', '320/32=10'] Exploring Operation: 48-10=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 40, 5, 77, 17 ]
32
[ "40+77=117", "5*17=85", "117-85=32" ]
Current State: 32:[40, 5, 77, 17], Operations: [] Exploring Operation: 40+77=117, Resulting Numbers: [5, 17, 117] Generated Node #2: [5, 17, 117] from Operation: 40+77=117 Current State: 32:[5, 17, 117], Operations: ['40+77=117'] Exploring Operation: 5*17=85, Resulting Numbers: [117, 85] Generated Node #3: [117, 85] from Operation: 5*17=85 Current State: 32:[117, 85], Operations: ['40+77=117', '5*17=85'] Exploring Operation: 117-85=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 5, 41, 6, 1 ]
77
[ "5+1=6", "6*6=36", "41+36=77" ]
Current State: 77:[5, 41, 6, 1], Operations: [] Exploring Operation: 5+1=6, Resulting Numbers: [41, 6, 6] Generated Node #2: [41, 6, 6] from Operation: 5+1=6 Current State: 77:[41, 6, 6], Operations: ['5+1=6'] Exploring Operation: 6*6=36, Resulting Numbers: [41, 36] Generated Node #3: [41, 36] from Operation: 6*6=36 Current State: 77:[41, 36], Operations: ['5+1=6', '6*6=36'] Exploring Operation: 41+36=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 20, 60, 2, 22 ]
60
[ "20+60=80", "22-2=20", "80-20=60" ]
Current State: 60:[20, 60, 2, 22], Operations: [] Exploring Operation: 20+60=80, Resulting Numbers: [2, 22, 80] Generated Node #2: [2, 22, 80] from Operation: 20+60=80 Current State: 60:[2, 22, 80], Operations: ['20+60=80'] Exploring Operation: 22-2=20, Resulting Numbers: [80, 20] Generated Node #3: [80, 20] from Operation: 22-2=20 Current State: 60:[80, 20], Operations: ['20+60=80', '22-2=20'] Exploring Operation: 80-20=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 18, 17, 18, 69 ]
52
[ "18+17=35", "18+69=87", "87-35=52" ]
Current State: 52:[18, 17, 18, 69], Operations: [] Exploring Operation: 18+17=35, Resulting Numbers: [69, 35] Generated Node #2: [69, 35] from Operation: 18+17=35 Current State: 52:[69, 35], Operations: ['18+17=35'] Exploring Operation: 18+69=87, Resulting Numbers: [35, 87] Generated Node #3: [35, 87] from Operation: 18+69=87 Current State: 52:[35, 87], Operations: ['18+17=35', '18+69=87'] Exploring Operation: 87-35=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 89, 14, 23, 47 ]
26
[ "89-47=42", "42/14=3", "23+3=26" ]
Current State: 26:[89, 14, 23, 47], Operations: [] Exploring Operation: 89-47=42, Resulting Numbers: [14, 23, 42] Generated Node #2: [14, 23, 42] from Operation: 89-47=42 Current State: 26:[14, 23, 42], Operations: ['89-47=42'] Exploring Operation: 42/14=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 42/14=3 Current State: 26:[23, 3], Operations: ['89-47=42', '42/14=3'] Exploring Operation: 23+3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 43, 23, 69, 47 ]
42
[ "43-23=20", "69-47=22", "20+22=42" ]
Current State: 42:[43, 23, 69, 47], Operations: [] Exploring Operation: 43-23=20, Resulting Numbers: [69, 47, 20] Generated Node #2: [69, 47, 20] from Operation: 43-23=20 Current State: 42:[69, 47, 20], Operations: ['43-23=20'] Exploring Operation: 69-47=22, Resulting Numbers: [20, 22] Generated Node #3: [20, 22] from Operation: 69-47=22 Current State: 42:[20, 22], Operations: ['43-23=20', '69-47=22'] Exploring Operation: 20+22=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 67, 93, 34, 32 ]
24
[ "93-67=26", "34-32=2", "26-2=24" ]
Current State: 24:[67, 93, 34, 32], Operations: [] Exploring Operation: 93-67=26, Resulting Numbers: [34, 32, 26] Generated Node #2: [34, 32, 26] from Operation: 93-67=26 Current State: 24:[34, 32, 26], Operations: ['93-67=26'] Exploring Operation: 34-32=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 34-32=2 Current State: 24:[26, 2], Operations: ['93-67=26', '34-32=2'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 8, 2, 31, 23 ]
44
[ "8+2=10", "31+23=54", "54-10=44" ]
Current State: 44:[8, 2, 31, 23], Operations: [] Exploring Operation: 8+2=10, Resulting Numbers: [31, 23, 10] Generated Node #2: [31, 23, 10] from Operation: 8+2=10 Current State: 44:[31, 23, 10], Operations: ['8+2=10'] Exploring Operation: 31+23=54, Resulting Numbers: [10, 54] Generated Node #3: [10, 54] from Operation: 31+23=54 Current State: 44:[10, 54], Operations: ['8+2=10', '31+23=54'] Exploring Operation: 54-10=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 47, 4, 19, 89 ]
80
[ "47*4=188", "19+89=108", "188-108=80" ]
Current State: 80:[47, 4, 19, 89], Operations: [] Exploring Operation: 47*4=188, Resulting Numbers: [19, 89, 188] Generated Node #2: [19, 89, 188] from Operation: 47*4=188 Current State: 80:[19, 89, 188], Operations: ['47*4=188'] Exploring Operation: 19+89=108, Resulting Numbers: [188, 108] Generated Node #3: [188, 108] from Operation: 19+89=108 Current State: 80:[188, 108], Operations: ['47*4=188', '19+89=108'] Exploring Operation: 188-108=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 89, 64, 8, 1 ]
81
[ "89*1=89", "64/8=8", "89-8=81" ]
Current State: 81:[89, 64, 8, 1], Operations: [] Exploring Operation: 89*1=89, Resulting Numbers: [64, 8, 89] Generated Node #2: [64, 8, 89] from Operation: 89*1=89 Current State: 81:[64, 8, 89], Operations: ['89*1=89'] Exploring Operation: 64/8=8, Resulting Numbers: [89, 8] Generated Node #3: [89, 8] from Operation: 64/8=8 Current State: 81:[89, 8], Operations: ['89*1=89', '64/8=8'] Exploring Operation: 89-8=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 84, 72, 12, 90 ]
91
[ "84-72=12", "12/12=1", "90+1=91" ]
Current State: 91:[84, 72, 12, 90], Operations: [] Exploring Operation: 84-72=12, Resulting Numbers: [12, 90, 12] Generated Node #2: [12, 90, 12] from Operation: 84-72=12 Current State: 91:[12, 90, 12], Operations: ['84-72=12'] Exploring Operation: 12/12=1, Resulting Numbers: [90, 1] Generated Node #3: [90, 1] from Operation: 12/12=1 Current State: 91:[90, 1], Operations: ['84-72=12', '12/12=1'] Exploring Operation: 90+1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 75, 9, 71, 53 ]
73
[ "71-53=18", "18/9=2", "75-2=73" ]
Current State: 73:[75, 9, 71, 53], Operations: [] Exploring Operation: 71-53=18, Resulting Numbers: [75, 9, 18] Generated Node #2: [75, 9, 18] from Operation: 71-53=18 Current State: 73:[75, 9, 18], Operations: ['71-53=18'] Exploring Operation: 18/9=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 18/9=2 Current State: 73:[75, 2], Operations: ['71-53=18', '18/9=2'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 32, 17, 7, 6 ]
63
[ "32-17=15", "15-6=9", "7*9=63" ]
Current State: 63:[32, 17, 7, 6], Operations: [] Exploring Operation: 32-17=15, Resulting Numbers: [7, 6, 15] Generated Node #2: [7, 6, 15] from Operation: 32-17=15 Current State: 63:[7, 6, 15], Operations: ['32-17=15'] Exploring Operation: 15-6=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 15-6=9 Current State: 63:[7, 9], Operations: ['32-17=15', '15-6=9'] Exploring Operation: 7*9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 5, 2, 21, 7 ]
27
[ "5+7=12", "12/2=6", "21+6=27" ]
Current State: 27:[5, 2, 21, 7], Operations: [] Exploring Operation: 5+7=12, Resulting Numbers: [2, 21, 12] Generated Node #2: [2, 21, 12] from Operation: 5+7=12 Current State: 27:[2, 21, 12], Operations: ['5+7=12'] Exploring Operation: 12/2=6, Resulting Numbers: [21, 6] Generated Node #3: [21, 6] from Operation: 12/2=6 Current State: 27:[21, 6], Operations: ['5+7=12', '12/2=6'] Exploring Operation: 21+6=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 64, 72, 43, 11 ]
48
[ "43+11=54", "64*54=3456", "3456/72=48" ]
Current State: 48:[64, 72, 43, 11], Operations: [] Exploring Operation: 43+11=54, Resulting Numbers: [64, 72, 54] Generated Node #2: [64, 72, 54] from Operation: 43+11=54 Current State: 48:[64, 72, 54], Operations: ['43+11=54'] Exploring Operation: 64*54=3456, Resulting Numbers: [72, 3456] Generated Node #3: [72, 3456] from Operation: 64*54=3456 Current State: 48:[72, 3456], Operations: ['43+11=54', '64*54=3456'] Exploring Operation: 3456/72=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 57, 64, 69, 67 ]
71
[ "69-67=2", "64*2=128", "128-57=71" ]
Current State: 71:[57, 64, 69, 67], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [57, 64, 2] Generated Node #2: [57, 64, 2] from Operation: 69-67=2 Current State: 71:[57, 64, 2], Operations: ['69-67=2'] Exploring Operation: 64*2=128, Resulting Numbers: [57, 128] Generated Node #3: [57, 128] from Operation: 64*2=128 Current State: 71:[57, 128], Operations: ['69-67=2', '64*2=128'] Exploring Operation: 128-57=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 96, 72, 57, 59 ]
48
[ "96-72=24", "59-57=2", "24*2=48" ]
Current State: 48:[96, 72, 57, 59], Operations: [] Exploring Operation: 96-72=24, Resulting Numbers: [57, 59, 24] Generated Node #2: [57, 59, 24] from Operation: 96-72=24 Current State: 48:[57, 59, 24], Operations: ['96-72=24'] Exploring Operation: 59-57=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 59-57=2 Current State: 48:[24, 2], Operations: ['96-72=24', '59-57=2'] Exploring Operation: 24*2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 11, 63, 52, 45 ]
81
[ "11+63=74", "52-45=7", "74+7=81" ]
Current State: 81:[11, 63, 52, 45], Operations: [] Exploring Operation: 11+63=74, Resulting Numbers: [52, 45, 74] Generated Node #2: [52, 45, 74] from Operation: 11+63=74 Current State: 81:[52, 45, 74], Operations: ['11+63=74'] Exploring Operation: 52-45=7, Resulting Numbers: [74, 7] Generated Node #3: [74, 7] from Operation: 52-45=7 Current State: 81:[74, 7], Operations: ['11+63=74', '52-45=7'] Exploring Operation: 74+7=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 72, 87, 57, 57 ]
45
[ "72+87=159", "57+57=114", "159-114=45" ]
Current State: 45:[72, 87, 57, 57], Operations: [] Exploring Operation: 72+87=159, Resulting Numbers: [57, 57, 159] Generated Node #2: [57, 57, 159] from Operation: 72+87=159 Current State: 45:[57, 57, 159], Operations: ['72+87=159'] Exploring Operation: 57+57=114, Resulting Numbers: [159, 114] Generated Node #3: [159, 114] from Operation: 57+57=114 Current State: 45:[159, 114], Operations: ['72+87=159', '57+57=114'] Exploring Operation: 159-114=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 76, 12, 90, 94 ]
68
[ "76-12=64", "94-90=4", "64+4=68" ]
Current State: 68:[76, 12, 90, 94], Operations: [] Exploring Operation: 76-12=64, Resulting Numbers: [90, 94, 64] Generated Node #2: [90, 94, 64] from Operation: 76-12=64 Current State: 68:[90, 94, 64], Operations: ['76-12=64'] Exploring Operation: 94-90=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 94-90=4 Current State: 68:[64, 4], Operations: ['76-12=64', '94-90=4'] Exploring Operation: 64+4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 38, 12, 89, 95 ]
36
[ "95-89=6", "12/6=2", "38-2=36" ]
Current State: 36:[38, 12, 89, 95], Operations: [] Exploring Operation: 95-89=6, Resulting Numbers: [38, 12, 6] Generated Node #2: [38, 12, 6] from Operation: 95-89=6 Current State: 36:[38, 12, 6], Operations: ['95-89=6'] Exploring Operation: 12/6=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 12/6=2 Current State: 36:[38, 2], Operations: ['95-89=6', '12/6=2'] Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 90, 68, 94, 15 ]
27
[ "90/15=6", "68+94=162", "162/6=27" ]
Current State: 27:[90, 68, 94, 15], Operations: [] Exploring Operation: 90/15=6, Resulting Numbers: [68, 94, 6] Generated Node #2: [68, 94, 6] from Operation: 90/15=6 Current State: 27:[68, 94, 6], Operations: ['90/15=6'] Exploring Operation: 68+94=162, Resulting Numbers: [6, 162] Generated Node #3: [6, 162] from Operation: 68+94=162 Current State: 27:[6, 162], Operations: ['90/15=6', '68+94=162'] Exploring Operation: 162/6=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 90, 73, 29, 25 ]
21
[ "90-73=17", "29-25=4", "17+4=21" ]
Current State: 21:[90, 73, 29, 25], Operations: [] Exploring Operation: 90-73=17, Resulting Numbers: [29, 25, 17] Generated Node #2: [29, 25, 17] from Operation: 90-73=17 Current State: 21:[29, 25, 17], Operations: ['90-73=17'] Exploring Operation: 29-25=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 29-25=4 Current State: 21:[17, 4], Operations: ['90-73=17', '29-25=4'] Exploring Operation: 17+4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 90, 21, 56, 84 ]
39
[ "90*56=5040", "5040/84=60", "60-21=39" ]
Current State: 39:[90, 21, 56, 84], Operations: [] Exploring Operation: 90*56=5040, Resulting Numbers: [21, 84, 5040] Generated Node #2: [21, 84, 5040] from Operation: 90*56=5040 Current State: 39:[21, 84, 5040], Operations: ['90*56=5040'] Exploring Operation: 5040/84=60, Resulting Numbers: [21, 60] Generated Node #3: [21, 60] from Operation: 5040/84=60 Current State: 39:[21, 60], Operations: ['90*56=5040', '5040/84=60'] Exploring Operation: 60-21=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 9, 60, 68, 13 ]
51
[ "68+13=81", "81/9=9", "60-9=51" ]
Current State: 51:[9, 60, 68, 13], Operations: [] Exploring Operation: 68+13=81, Resulting Numbers: [9, 60, 81] Generated Node #2: [9, 60, 81] from Operation: 68+13=81 Current State: 51:[9, 60, 81], Operations: ['68+13=81'] Exploring Operation: 81/9=9, Resulting Numbers: [60, 9] Generated Node #3: [60, 9] from Operation: 81/9=9 Current State: 51:[60, 9], Operations: ['68+13=81', '81/9=9'] Exploring Operation: 60-9=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4