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
[ 25, 34, 35, 46 ]
22
[ "25+34=59", "35+46=81", "81-59=22" ]
Current State: 22:[25, 34, 35, 46], Operations: [] Exploring Operation: 25+34=59, Resulting Numbers: [35, 46, 59] Generated Node #2: [35, 46, 59] from Operation: 25+34=59 Current State: 22:[35, 46, 59], Operations: ['25+34=59'] Exploring Operation: 35+46=81, Resulting Numbers: [59, 81] Generated Node #3: [59, 81] from Operation: 35+46=81 Current State: 22:[59, 81], Operations: ['25+34=59', '35+46=81'] Exploring Operation: 81-59=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 54, 60, 88, 22 ]
99
[ "88+22=110", "54*110=5940", "5940/60=99" ]
Current State: 99:[54, 60, 88, 22], Operations: [] Exploring Operation: 88+22=110, Resulting Numbers: [54, 60, 110] Generated Node #2: [54, 60, 110] from Operation: 88+22=110 Current State: 99:[54, 60, 110], Operations: ['88+22=110'] Exploring Operation: 54*110=5940, Resulting Numbers: [60, 5940] Generated Node #3: [60, 5940] from Operation: 54*110=5940 Current State: 99:[60, 5940], Operations: ['88+22=110', '54*110=5940'] Exploring Operation: 5940/60=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 66, 63, 2, 54 ]
73
[ "66+63=129", "2+54=56", "129-56=73" ]
Current State: 73:[66, 63, 2, 54], Operations: [] Exploring Operation: 66+63=129, Resulting Numbers: [2, 54, 129] Generated Node #2: [2, 54, 129] from Operation: 66+63=129 Current State: 73:[2, 54, 129], Operations: ['66+63=129'] Exploring Operation: 2+54=56, Resulting Numbers: [129, 56] Generated Node #3: [129, 56] from Operation: 2+54=56 Current State: 73:[129, 56], Operations: ['66+63=129', '2+54=56'] Exploring Operation: 129-56=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 84, 61, 43, 85 ]
65
[ "84-61=23", "85-43=42", "23+42=65" ]
Current State: 65:[84, 61, 43, 85], Operations: [] Exploring Operation: 84-61=23, Resulting Numbers: [43, 85, 23] Generated Node #2: [43, 85, 23] from Operation: 84-61=23 Current State: 65:[43, 85, 23], Operations: ['84-61=23'] Exploring Operation: 85-43=42, Resulting Numbers: [23, 42] Generated Node #3: [23, 42] from Operation: 85-43=42 Current State: 65:[23, 42], Operations: ['84-61=23', '85-43=42'] Exploring Operation: 23+42=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 52, 13, 3, 8 ]
34
[ "52-13=39", "8-3=5", "39-5=34" ]
Current State: 34:[52, 13, 3, 8], Operations: [] Exploring Operation: 52-13=39, Resulting Numbers: [3, 8, 39] Generated Node #2: [3, 8, 39] from Operation: 52-13=39 Current State: 34:[3, 8, 39], Operations: ['52-13=39'] Exploring Operation: 8-3=5, Resulting Numbers: [39, 5] Generated Node #3: [39, 5] from Operation: 8-3=5 Current State: 34:[39, 5], Operations: ['52-13=39', '8-3=5'] Exploring Operation: 39-5=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 39, 48, 7, 85 ]
14
[ "39+48=87", "87-85=2", "7*2=14" ]
Current State: 14:[39, 48, 7, 85], Operations: [] Exploring Operation: 39+48=87, Resulting Numbers: [7, 85, 87] Generated Node #2: [7, 85, 87] from Operation: 39+48=87 Current State: 14:[7, 85, 87], Operations: ['39+48=87'] Exploring Operation: 87-85=2, Resulting Numbers: [7, 2] Generated Node #3: [7, 2] from Operation: 87-85=2 Current State: 14:[7, 2], Operations: ['39+48=87', '87-85=2'] Exploring Operation: 7*2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 22, 77, 15, 24 ]
35
[ "22-15=7", "77/7=11", "24+11=35" ]
Current State: 35:[22, 77, 15, 24], Operations: [] Exploring Operation: 22-15=7, Resulting Numbers: [77, 24, 7] Generated Node #2: [77, 24, 7] from Operation: 22-15=7 Current State: 35:[77, 24, 7], Operations: ['22-15=7'] Exploring Operation: 77/7=11, Resulting Numbers: [24, 11] Generated Node #3: [24, 11] from Operation: 77/7=11 Current State: 35:[24, 11], Operations: ['22-15=7', '77/7=11'] Exploring Operation: 24+11=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 67, 1, 14, 26 ]
78
[ "67-1=66", "26-14=12", "66+12=78" ]
Current State: 78:[67, 1, 14, 26], Operations: [] Exploring Operation: 67-1=66, Resulting Numbers: [14, 26, 66] Generated Node #2: [14, 26, 66] from Operation: 67-1=66 Current State: 78:[14, 26, 66], Operations: ['67-1=66'] Exploring Operation: 26-14=12, Resulting Numbers: [66, 12] Generated Node #3: [66, 12] from Operation: 26-14=12 Current State: 78:[66, 12], Operations: ['67-1=66', '26-14=12'] Exploring Operation: 66+12=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 55, 57, 26, 61 ]
33
[ "57-55=2", "61-26=35", "35-2=33" ]
Current State: 33:[55, 57, 26, 61], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [26, 61, 2] Generated Node #2: [26, 61, 2] from Operation: 57-55=2 Current State: 33:[26, 61, 2], Operations: ['57-55=2'] Exploring Operation: 61-26=35, Resulting Numbers: [2, 35] Generated Node #3: [2, 35] from Operation: 61-26=35 Current State: 33:[2, 35], Operations: ['57-55=2', '61-26=35'] Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 95, 80, 40, 32 ]
65
[ "95-32=63", "80/40=2", "63+2=65" ]
Current State: 65:[95, 80, 40, 32], Operations: [] Exploring Operation: 95-32=63, Resulting Numbers: [80, 40, 63] Generated Node #2: [80, 40, 63] from Operation: 95-32=63 Current State: 65:[80, 40, 63], Operations: ['95-32=63'] Exploring Operation: 80/40=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 80/40=2 Current State: 65:[63, 2], Operations: ['95-32=63', '80/40=2'] Exploring Operation: 63+2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 35, 95, 7, 58 ]
65
[ "35+95=130", "7+58=65", "130-65=65" ]
Current State: 65:[35, 95, 7, 58], Operations: [] Exploring Operation: 35+95=130, Resulting Numbers: [7, 58, 130] Generated Node #2: [7, 58, 130] from Operation: 35+95=130 Current State: 65:[7, 58, 130], Operations: ['35+95=130'] Exploring Operation: 7+58=65, Resulting Numbers: [130, 65] Generated Node #3: [130, 65] from Operation: 7+58=65 Current State: 65:[130, 65], Operations: ['35+95=130', '7+58=65'] Exploring Operation: 130-65=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 40, 55, 4, 17 ]
82
[ "40+55=95", "17-4=13", "95-13=82" ]
Current State: 82:[40, 55, 4, 17], Operations: [] Exploring Operation: 40+55=95, Resulting Numbers: [4, 17, 95] Generated Node #2: [4, 17, 95] from Operation: 40+55=95 Current State: 82:[4, 17, 95], Operations: ['40+55=95'] Exploring Operation: 17-4=13, Resulting Numbers: [95, 13] Generated Node #3: [95, 13] from Operation: 17-4=13 Current State: 82:[95, 13], Operations: ['40+55=95', '17-4=13'] Exploring Operation: 95-13=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 45, 32, 14, 66 ]
52
[ "32+66=98", "98/14=7", "45+7=52" ]
Current State: 52:[45, 32, 14, 66], Operations: [] Exploring Operation: 32+66=98, Resulting Numbers: [45, 14, 98] Generated Node #2: [45, 14, 98] from Operation: 32+66=98 Current State: 52:[45, 14, 98], Operations: ['32+66=98'] Exploring Operation: 98/14=7, Resulting Numbers: [45, 7] Generated Node #3: [45, 7] from Operation: 98/14=7 Current State: 52:[45, 7], Operations: ['32+66=98', '98/14=7'] Exploring Operation: 45+7=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 15, 26, 46, 26 ]
61
[ "15+26=41", "46-26=20", "41+20=61" ]
Current State: 61:[15, 26, 46, 26], Operations: [] Exploring Operation: 15+26=41, Resulting Numbers: [46, 41] Generated Node #2: [46, 41] from Operation: 15+26=41 Current State: 61:[46, 41], Operations: ['15+26=41'] Exploring Operation: 46-26=20, Resulting Numbers: [41, 20] Generated Node #3: [41, 20] from Operation: 46-26=20 Current State: 61:[41, 20], Operations: ['15+26=41', '46-26=20'] Exploring Operation: 41+20=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 23, 9, 42, 28 ]
18
[ "23+9=32", "42-28=14", "32-14=18" ]
Current State: 18:[23, 9, 42, 28], Operations: [] Exploring Operation: 23+9=32, Resulting Numbers: [42, 28, 32] Generated Node #2: [42, 28, 32] from Operation: 23+9=32 Current State: 18:[42, 28, 32], Operations: ['23+9=32'] Exploring Operation: 42-28=14, Resulting Numbers: [32, 14] Generated Node #3: [32, 14] from Operation: 42-28=14 Current State: 18:[32, 14], Operations: ['23+9=32', '42-28=14'] Exploring Operation: 32-14=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 43, 31, 57, 14 ]
83
[ "43-31=12", "57+14=71", "12+71=83" ]
Current State: 83:[43, 31, 57, 14], Operations: [] Exploring Operation: 43-31=12, Resulting Numbers: [57, 14, 12] Generated Node #2: [57, 14, 12] from Operation: 43-31=12 Current State: 83:[57, 14, 12], Operations: ['43-31=12'] Exploring Operation: 57+14=71, Resulting Numbers: [12, 71] Generated Node #3: [12, 71] from Operation: 57+14=71 Current State: 83:[12, 71], Operations: ['43-31=12', '57+14=71'] Exploring Operation: 12+71=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 9, 70, 58, 54 ]
75
[ "9+70=79", "58-54=4", "79-4=75" ]
Current State: 75:[9, 70, 58, 54], Operations: [] Exploring Operation: 9+70=79, Resulting Numbers: [58, 54, 79] Generated Node #2: [58, 54, 79] from Operation: 9+70=79 Current State: 75:[58, 54, 79], Operations: ['9+70=79'] Exploring Operation: 58-54=4, Resulting Numbers: [79, 4] Generated Node #3: [79, 4] from Operation: 58-54=4 Current State: 75:[79, 4], Operations: ['9+70=79', '58-54=4'] Exploring Operation: 79-4=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 40, 78, 70, 15 ]
33
[ "40+78=118", "70+15=85", "118-85=33" ]
Current State: 33:[40, 78, 70, 15], Operations: [] Exploring Operation: 40+78=118, Resulting Numbers: [70, 15, 118] Generated Node #2: [70, 15, 118] from Operation: 40+78=118 Current State: 33:[70, 15, 118], Operations: ['40+78=118'] Exploring Operation: 70+15=85, Resulting Numbers: [118, 85] Generated Node #3: [118, 85] from Operation: 70+15=85 Current State: 33:[118, 85], Operations: ['40+78=118', '70+15=85'] Exploring Operation: 118-85=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 19, 45, 65, 95 ]
96
[ "19+45=64", "65+95=160", "160-64=96" ]
Current State: 96:[19, 45, 65, 95], Operations: [] Exploring Operation: 19+45=64, Resulting Numbers: [65, 95, 64] Generated Node #2: [65, 95, 64] from Operation: 19+45=64 Current State: 96:[65, 95, 64], Operations: ['19+45=64'] Exploring Operation: 65+95=160, Resulting Numbers: [64, 160] Generated Node #3: [64, 160] from Operation: 65+95=160 Current State: 96:[64, 160], Operations: ['19+45=64', '65+95=160'] Exploring Operation: 160-64=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 64, 70, 75, 24 ]
79
[ "70-64=6", "24/6=4", "75+4=79" ]
Current State: 79:[64, 70, 75, 24], Operations: [] Exploring Operation: 70-64=6, Resulting Numbers: [75, 24, 6] Generated Node #2: [75, 24, 6] from Operation: 70-64=6 Current State: 79:[75, 24, 6], Operations: ['70-64=6'] Exploring Operation: 24/6=4, Resulting Numbers: [75, 4] Generated Node #3: [75, 4] from Operation: 24/6=4 Current State: 79:[75, 4], Operations: ['70-64=6', '24/6=4'] Exploring Operation: 75+4=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 72, 46, 6, 8 ]
61
[ "72/8=9", "46+6=52", "9+52=61" ]
Current State: 61:[72, 46, 6, 8], Operations: [] Exploring Operation: 72/8=9, Resulting Numbers: [46, 6, 9] Generated Node #2: [46, 6, 9] from Operation: 72/8=9 Current State: 61:[46, 6, 9], Operations: ['72/8=9'] Exploring Operation: 46+6=52, Resulting Numbers: [9, 52] Generated Node #3: [9, 52] from Operation: 46+6=52 Current State: 61:[9, 52], Operations: ['72/8=9', '46+6=52'] Exploring Operation: 9+52=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 98, 37, 45, 13 ]
93
[ "98-37=61", "45-13=32", "61+32=93" ]
Current State: 93:[98, 37, 45, 13], Operations: [] Exploring Operation: 98-37=61, Resulting Numbers: [45, 13, 61] Generated Node #2: [45, 13, 61] from Operation: 98-37=61 Current State: 93:[45, 13, 61], Operations: ['98-37=61'] Exploring Operation: 45-13=32, Resulting Numbers: [61, 32] Generated Node #3: [61, 32] from Operation: 45-13=32 Current State: 93:[61, 32], Operations: ['98-37=61', '45-13=32'] Exploring Operation: 61+32=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 2, 70, 99, 30 ]
94
[ "70/2=35", "99+30=129", "129-35=94" ]
Current State: 94:[2, 70, 99, 30], Operations: [] Exploring Operation: 70/2=35, Resulting Numbers: [99, 30, 35] Generated Node #2: [99, 30, 35] from Operation: 70/2=35 Current State: 94:[99, 30, 35], Operations: ['70/2=35'] Exploring Operation: 99+30=129, Resulting Numbers: [35, 129] Generated Node #3: [35, 129] from Operation: 99+30=129 Current State: 94:[35, 129], Operations: ['70/2=35', '99+30=129'] Exploring Operation: 129-35=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 81, 49, 43, 22 ]
11
[ "81-49=32", "43-22=21", "32-21=11" ]
Current State: 11:[81, 49, 43, 22], Operations: [] Exploring Operation: 81-49=32, Resulting Numbers: [43, 22, 32] Generated Node #2: [43, 22, 32] from Operation: 81-49=32 Current State: 11:[43, 22, 32], Operations: ['81-49=32'] Exploring Operation: 43-22=21, Resulting Numbers: [32, 21] Generated Node #3: [32, 21] from Operation: 43-22=21 Current State: 11:[32, 21], Operations: ['81-49=32', '43-22=21'] Exploring Operation: 32-21=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 24, 47, 96, 47 ]
90
[ "96/24=4", "47+47=94", "94-4=90" ]
Current State: 90:[24, 47, 96, 47], Operations: [] Exploring Operation: 96/24=4, Resulting Numbers: [47, 47, 4] Generated Node #2: [47, 47, 4] from Operation: 96/24=4 Current State: 90:[47, 47, 4], Operations: ['96/24=4'] Exploring Operation: 47+47=94, Resulting Numbers: [4, 94] Generated Node #3: [4, 94] from Operation: 47+47=94 Current State: 90:[4, 94], Operations: ['96/24=4', '47+47=94'] Exploring Operation: 94-4=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 4, 95, 57, 63 ]
21
[ "4+95=99", "57+63=120", "120-99=21" ]
Current State: 21:[4, 95, 57, 63], Operations: [] Exploring Operation: 4+95=99, Resulting Numbers: [57, 63, 99] Generated Node #2: [57, 63, 99] from Operation: 4+95=99 Current State: 21:[57, 63, 99], Operations: ['4+95=99'] Exploring Operation: 57+63=120, Resulting Numbers: [99, 120] Generated Node #3: [99, 120] from Operation: 57+63=120 Current State: 21:[99, 120], Operations: ['4+95=99', '57+63=120'] Exploring Operation: 120-99=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 74, 27, 6, 48 ]
55
[ "74-27=47", "48/6=8", "47+8=55" ]
Current State: 55:[74, 27, 6, 48], Operations: [] Exploring Operation: 74-27=47, Resulting Numbers: [6, 48, 47] Generated Node #2: [6, 48, 47] from Operation: 74-27=47 Current State: 55:[6, 48, 47], Operations: ['74-27=47'] Exploring Operation: 48/6=8, Resulting Numbers: [47, 8] Generated Node #3: [47, 8] from Operation: 48/6=8 Current State: 55:[47, 8], Operations: ['74-27=47', '48/6=8'] Exploring Operation: 47+8=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 30, 10, 75, 28 ]
15
[ "30-28=2", "10/2=5", "75/5=15" ]
Current State: 15:[30, 10, 75, 28], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [10, 75, 2] Generated Node #2: [10, 75, 2] from Operation: 30-28=2 Current State: 15:[10, 75, 2], Operations: ['30-28=2'] Exploring Operation: 10/2=5, Resulting Numbers: [75, 5] Generated Node #3: [75, 5] from Operation: 10/2=5 Current State: 15:[75, 5], Operations: ['30-28=2', '10/2=5'] Exploring Operation: 75/5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 94, 67, 33, 2 ]
64
[ "94+67=161", "161-33=128", "128/2=64" ]
Current State: 64:[94, 67, 33, 2], Operations: [] Exploring Operation: 94+67=161, Resulting Numbers: [33, 2, 161] Generated Node #2: [33, 2, 161] from Operation: 94+67=161 Current State: 64:[33, 2, 161], Operations: ['94+67=161'] Exploring Operation: 161-33=128, Resulting Numbers: [2, 128] Generated Node #3: [2, 128] from Operation: 161-33=128 Current State: 64:[2, 128], Operations: ['94+67=161', '161-33=128'] Exploring Operation: 128/2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 70, 45, 34, 45 ]
34
[ "45-45=0", "70*0=0", "34+0=34" ]
Current State: 34:[70, 45, 34, 45], Operations: [] Exploring Operation: 45-45=0, Resulting Numbers: [70, 34, 0] Generated Node #2: [70, 34, 0] from Operation: 45-45=0 Current State: 34:[70, 34, 0], Operations: ['45-45=0'] Exploring Operation: 70*0=0, Resulting Numbers: [34, 0] Generated Node #3: [34, 0] from Operation: 70*0=0 Current State: 34:[34, 0], Operations: ['45-45=0', '70*0=0'] Exploring Operation: 34+0=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 83, 33, 81, 34 ]
65
[ "83-33=50", "81+34=115", "115-50=65" ]
Current State: 65:[83, 33, 81, 34], Operations: [] Exploring Operation: 83-33=50, Resulting Numbers: [81, 34, 50] Generated Node #2: [81, 34, 50] from Operation: 83-33=50 Current State: 65:[81, 34, 50], Operations: ['83-33=50'] Exploring Operation: 81+34=115, Resulting Numbers: [50, 115] Generated Node #3: [50, 115] from Operation: 81+34=115 Current State: 65:[50, 115], Operations: ['83-33=50', '81+34=115'] Exploring Operation: 115-50=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 36, 2, 22, 11 ]
85
[ "22/2=11", "11*11=121", "121-36=85" ]
Current State: 85:[36, 2, 22, 11], Operations: [] Exploring Operation: 22/2=11, Resulting Numbers: [36, 11, 11] Generated Node #2: [36, 11, 11] from Operation: 22/2=11 Current State: 85:[36, 11, 11], Operations: ['22/2=11'] Exploring Operation: 11*11=121, Resulting Numbers: [36, 121] Generated Node #3: [36, 121] from Operation: 11*11=121 Current State: 85:[36, 121], Operations: ['22/2=11', '11*11=121'] Exploring Operation: 121-36=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 29, 57, 17, 13 ]
32
[ "57-29=28", "17-13=4", "28+4=32" ]
Current State: 32:[29, 57, 17, 13], Operations: [] Exploring Operation: 57-29=28, Resulting Numbers: [17, 13, 28] Generated Node #2: [17, 13, 28] from Operation: 57-29=28 Current State: 32:[17, 13, 28], Operations: ['57-29=28'] Exploring Operation: 17-13=4, Resulting Numbers: [28, 4] Generated Node #3: [28, 4] from Operation: 17-13=4 Current State: 32:[28, 4], Operations: ['57-29=28', '17-13=4'] Exploring Operation: 28+4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 60, 90, 15, 45 ]
47
[ "90-60=30", "30/15=2", "45+2=47" ]
Current State: 47:[60, 90, 15, 45], Operations: [] Exploring Operation: 90-60=30, Resulting Numbers: [15, 45, 30] Generated Node #2: [15, 45, 30] from Operation: 90-60=30 Current State: 47:[15, 45, 30], Operations: ['90-60=30'] Exploring Operation: 30/15=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 30/15=2 Current State: 47:[45, 2], Operations: ['90-60=30', '30/15=2'] Exploring Operation: 45+2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 35, 78, 80, 33 ]
38
[ "35-33=2", "80/2=40", "78-40=38" ]
Current State: 38:[35, 78, 80, 33], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [78, 80, 2] Generated Node #2: [78, 80, 2] from Operation: 35-33=2 Current State: 38:[78, 80, 2], Operations: ['35-33=2'] Exploring Operation: 80/2=40, Resulting Numbers: [78, 40] Generated Node #3: [78, 40] from Operation: 80/2=40 Current State: 38:[78, 40], Operations: ['35-33=2', '80/2=40'] Exploring Operation: 78-40=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 98, 14, 81, 27 ]
81
[ "98-14=84", "81/27=3", "84-3=81" ]
Current State: 81:[98, 14, 81, 27], Operations: [] Exploring Operation: 98-14=84, Resulting Numbers: [81, 27, 84] Generated Node #2: [81, 27, 84] from Operation: 98-14=84 Current State: 81:[81, 27, 84], Operations: ['98-14=84'] Exploring Operation: 81/27=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 81/27=3 Current State: 81:[84, 3], Operations: ['98-14=84', '81/27=3'] Exploring Operation: 84-3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 79, 64, 24, 89 ]
50
[ "79-64=15", "89-24=65", "65-15=50" ]
Current State: 50:[79, 64, 24, 89], Operations: [] Exploring Operation: 79-64=15, Resulting Numbers: [24, 89, 15] Generated Node #2: [24, 89, 15] from Operation: 79-64=15 Current State: 50:[24, 89, 15], Operations: ['79-64=15'] Exploring Operation: 89-24=65, Resulting Numbers: [15, 65] Generated Node #3: [15, 65] from Operation: 89-24=65 Current State: 50:[15, 65], Operations: ['79-64=15', '89-24=65'] Exploring Operation: 65-15=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 59, 7, 5, 21 ]
83
[ "59+5=64", "7*21=147", "147-64=83" ]
Current State: 83:[59, 7, 5, 21], Operations: [] Exploring Operation: 59+5=64, Resulting Numbers: [7, 21, 64] Generated Node #2: [7, 21, 64] from Operation: 59+5=64 Current State: 83:[7, 21, 64], Operations: ['59+5=64'] Exploring Operation: 7*21=147, Resulting Numbers: [64, 147] Generated Node #3: [64, 147] from Operation: 7*21=147 Current State: 83:[64, 147], Operations: ['59+5=64', '7*21=147'] Exploring Operation: 147-64=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 10, 55, 89, 87 ]
67
[ "10+55=65", "89-87=2", "65+2=67" ]
Current State: 67:[10, 55, 89, 87], Operations: [] Exploring Operation: 10+55=65, Resulting Numbers: [89, 87, 65] Generated Node #2: [89, 87, 65] from Operation: 10+55=65 Current State: 67:[89, 87, 65], Operations: ['10+55=65'] Exploring Operation: 89-87=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 89-87=2 Current State: 67:[65, 2], Operations: ['10+55=65', '89-87=2'] Exploring Operation: 65+2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 27, 64, 89, 80 ]
82
[ "27+64=91", "89-80=9", "91-9=82" ]
Current State: 82:[27, 64, 89, 80], Operations: [] Exploring Operation: 27+64=91, Resulting Numbers: [89, 80, 91] Generated Node #2: [89, 80, 91] from Operation: 27+64=91 Current State: 82:[89, 80, 91], Operations: ['27+64=91'] Exploring Operation: 89-80=9, Resulting Numbers: [91, 9] Generated Node #3: [91, 9] from Operation: 89-80=9 Current State: 82:[91, 9], Operations: ['27+64=91', '89-80=9'] Exploring Operation: 91-9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 27, 26, 99, 37 ]
61
[ "27-26=1", "99-37=62", "62-1=61" ]
Current State: 61:[27, 26, 99, 37], Operations: [] Exploring Operation: 27-26=1, Resulting Numbers: [99, 37, 1] Generated Node #2: [99, 37, 1] from Operation: 27-26=1 Current State: 61:[99, 37, 1], Operations: ['27-26=1'] Exploring Operation: 99-37=62, Resulting Numbers: [1, 62] Generated Node #3: [1, 62] from Operation: 99-37=62 Current State: 61:[1, 62], Operations: ['27-26=1', '99-37=62'] Exploring Operation: 62-1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 26, 98, 8, 95 ]
33
[ "8*95=760", "98+760=858", "858/26=33" ]
Current State: 33:[26, 98, 8, 95], Operations: [] Exploring Operation: 8*95=760, Resulting Numbers: [26, 98, 760] Generated Node #2: [26, 98, 760] from Operation: 8*95=760 Current State: 33:[26, 98, 760], Operations: ['8*95=760'] Exploring Operation: 98+760=858, Resulting Numbers: [26, 858] Generated Node #3: [26, 858] from Operation: 98+760=858 Current State: 33:[26, 858], Operations: ['8*95=760', '98+760=858'] Exploring Operation: 858/26=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 79, 39, 69, 77 ]
48
[ "79-39=40", "77-69=8", "40+8=48" ]
Current State: 48:[79, 39, 69, 77], Operations: [] Exploring Operation: 79-39=40, Resulting Numbers: [69, 77, 40] Generated Node #2: [69, 77, 40] from Operation: 79-39=40 Current State: 48:[69, 77, 40], Operations: ['79-39=40'] Exploring Operation: 77-69=8, Resulting Numbers: [40, 8] Generated Node #3: [40, 8] from Operation: 77-69=8 Current State: 48:[40, 8], Operations: ['79-39=40', '77-69=8'] Exploring Operation: 40+8=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 54, 74, 37, 98 ]
67
[ "54+74=128", "98-37=61", "128-61=67" ]
Current State: 67:[54, 74, 37, 98], Operations: [] Exploring Operation: 54+74=128, Resulting Numbers: [37, 98, 128] Generated Node #2: [37, 98, 128] from Operation: 54+74=128 Current State: 67:[37, 98, 128], Operations: ['54+74=128'] Exploring Operation: 98-37=61, Resulting Numbers: [128, 61] Generated Node #3: [128, 61] from Operation: 98-37=61 Current State: 67:[128, 61], Operations: ['54+74=128', '98-37=61'] Exploring Operation: 128-61=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 59, 32, 12, 4 ]
56
[ "32+4=36", "36/12=3", "59-3=56" ]
Current State: 56:[59, 32, 12, 4], Operations: [] Exploring Operation: 32+4=36, Resulting Numbers: [59, 12, 36] Generated Node #2: [59, 12, 36] from Operation: 32+4=36 Current State: 56:[59, 12, 36], Operations: ['32+4=36'] Exploring Operation: 36/12=3, Resulting Numbers: [59, 3] Generated Node #3: [59, 3] from Operation: 36/12=3 Current State: 56:[59, 3], Operations: ['32+4=36', '36/12=3'] Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 35, 2, 45, 69 ]
46
[ "35*2=70", "69-45=24", "70-24=46" ]
Current State: 46:[35, 2, 45, 69], Operations: [] Exploring Operation: 35*2=70, Resulting Numbers: [45, 69, 70] Generated Node #2: [45, 69, 70] from Operation: 35*2=70 Current State: 46:[45, 69, 70], Operations: ['35*2=70'] Exploring Operation: 69-45=24, Resulting Numbers: [70, 24] Generated Node #3: [70, 24] from Operation: 69-45=24 Current State: 46:[70, 24], Operations: ['35*2=70', '69-45=24'] Exploring Operation: 70-24=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 53, 21, 44, 4 ]
52
[ "53-21=32", "32/4=8", "44+8=52" ]
Current State: 52:[53, 21, 44, 4], Operations: [] Exploring Operation: 53-21=32, Resulting Numbers: [44, 4, 32] Generated Node #2: [44, 4, 32] from Operation: 53-21=32 Current State: 52:[44, 4, 32], Operations: ['53-21=32'] Exploring Operation: 32/4=8, Resulting Numbers: [44, 8] Generated Node #3: [44, 8] from Operation: 32/4=8 Current State: 52:[44, 8], Operations: ['53-21=32', '32/4=8'] Exploring Operation: 44+8=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 13, 78, 31, 34 ]
11
[ "78+31=109", "34+109=143", "143/13=11" ]
Current State: 11:[13, 78, 31, 34], Operations: [] Exploring Operation: 78+31=109, Resulting Numbers: [13, 34, 109] Generated Node #2: [13, 34, 109] from Operation: 78+31=109 Current State: 11:[13, 34, 109], Operations: ['78+31=109'] Exploring Operation: 34+109=143, Resulting Numbers: [13, 143] Generated Node #3: [13, 143] from Operation: 34+109=143 Current State: 11:[13, 143], Operations: ['78+31=109', '34+109=143'] Exploring Operation: 143/13=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 56, 61, 2, 66 ]
76
[ "61-56=5", "2*5=10", "66+10=76" ]
Current State: 76:[56, 61, 2, 66], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [2, 66, 5] Generated Node #2: [2, 66, 5] from Operation: 61-56=5 Current State: 76:[2, 66, 5], Operations: ['61-56=5'] Exploring Operation: 2*5=10, Resulting Numbers: [66, 10] Generated Node #3: [66, 10] from Operation: 2*5=10 Current State: 76:[66, 10], Operations: ['61-56=5', '2*5=10'] Exploring Operation: 66+10=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 27, 18, 70, 70 ]
10
[ "27-18=9", "70/70=1", "9+1=10" ]
Current State: 10:[27, 18, 70, 70], Operations: [] Exploring Operation: 27-18=9, Resulting Numbers: [70, 70, 9] Generated Node #2: [70, 70, 9] from Operation: 27-18=9 Current State: 10:[70, 70, 9], Operations: ['27-18=9'] Exploring Operation: 70/70=1, Resulting Numbers: [9, 1] Generated Node #3: [9, 1] from Operation: 70/70=1 Current State: 10:[9, 1], Operations: ['27-18=9', '70/70=1'] Exploring Operation: 9+1=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 69, 72, 95, 2 ]
31
[ "72-69=3", "95-2=93", "93/3=31" ]
Current State: 31:[69, 72, 95, 2], Operations: [] Exploring Operation: 72-69=3, Resulting Numbers: [95, 2, 3] Generated Node #2: [95, 2, 3] from Operation: 72-69=3 Current State: 31:[95, 2, 3], Operations: ['72-69=3'] Exploring Operation: 95-2=93, Resulting Numbers: [3, 93] Generated Node #3: [3, 93] from Operation: 95-2=93 Current State: 31:[3, 93], Operations: ['72-69=3', '95-2=93'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 67, 17, 55, 6 ]
23
[ "67+17=84", "55+6=61", "84-61=23" ]
Current State: 23:[67, 17, 55, 6], Operations: [] Exploring Operation: 67+17=84, Resulting Numbers: [55, 6, 84] Generated Node #2: [55, 6, 84] from Operation: 67+17=84 Current State: 23:[55, 6, 84], Operations: ['67+17=84'] Exploring Operation: 55+6=61, Resulting Numbers: [84, 61] Generated Node #3: [84, 61] from Operation: 55+6=61 Current State: 23:[84, 61], Operations: ['67+17=84', '55+6=61'] Exploring Operation: 84-61=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 6, 30, 6, 1 ]
32
[ "6/6=1", "30+1=31", "1+31=32" ]
Current State: 32:[6, 30, 6, 1], Operations: [] Exploring Operation: 6/6=1, Resulting Numbers: [30, 1, 1] Generated Node #2: [30, 1, 1] from Operation: 6/6=1 Current State: 32:[30, 1, 1], Operations: ['6/6=1'] Exploring Operation: 30+1=31, Resulting Numbers: [31] 31,32 equal: Goal Reached Exploring Operation: 1+31=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 66, 48, 33, 70 ]
45
[ "70-66=4", "48/4=12", "33+12=45" ]
Current State: 45:[66, 48, 33, 70], Operations: [] Exploring Operation: 70-66=4, Resulting Numbers: [48, 33, 4] Generated Node #2: [48, 33, 4] from Operation: 70-66=4 Current State: 45:[48, 33, 4], Operations: ['70-66=4'] Exploring Operation: 48/4=12, Resulting Numbers: [33, 12] Generated Node #3: [33, 12] from Operation: 48/4=12 Current State: 45:[33, 12], Operations: ['70-66=4', '48/4=12'] Exploring Operation: 33+12=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 3, 60, 77, 85 ]
71
[ "3+60=63", "85-77=8", "63+8=71" ]
Current State: 71:[3, 60, 77, 85], Operations: [] Exploring Operation: 3+60=63, Resulting Numbers: [77, 85, 63] Generated Node #2: [77, 85, 63] from Operation: 3+60=63 Current State: 71:[77, 85, 63], Operations: ['3+60=63'] Exploring Operation: 85-77=8, Resulting Numbers: [63, 8] Generated Node #3: [63, 8] from Operation: 85-77=8 Current State: 71:[63, 8], Operations: ['3+60=63', '85-77=8'] Exploring Operation: 63+8=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 8, 99, 41, 14 ]
34
[ "99*14=1386", "8+1386=1394", "1394/41=34" ]
Current State: 34:[8, 99, 41, 14], Operations: [] Exploring Operation: 99*14=1386, Resulting Numbers: [8, 41, 1386] Generated Node #2: [8, 41, 1386] from Operation: 99*14=1386 Current State: 34:[8, 41, 1386], Operations: ['99*14=1386'] Exploring Operation: 8+1386=1394, Resulting Numbers: [41, 1394] Generated Node #3: [41, 1394] from Operation: 8+1386=1394 Current State: 34:[41, 1394], Operations: ['99*14=1386', '8+1386=1394'] Exploring Operation: 1394/41=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 40, 5, 74, 4 ]
89
[ "40/4=10", "5+74=79", "10+79=89" ]
Current State: 89:[40, 5, 74, 4], Operations: [] Exploring Operation: 40/4=10, Resulting Numbers: [5, 74, 10] Generated Node #2: [5, 74, 10] from Operation: 40/4=10 Current State: 89:[5, 74, 10], Operations: ['40/4=10'] Exploring Operation: 5+74=79, Resulting Numbers: [10, 79] Generated Node #3: [10, 79] from Operation: 5+74=79 Current State: 89:[10, 79], Operations: ['40/4=10', '5+74=79'] Exploring Operation: 10+79=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 51, 11, 95, 56 ]
52
[ "95-51=44", "44/11=4", "56-4=52" ]
Current State: 52:[51, 11, 95, 56], Operations: [] Exploring Operation: 95-51=44, Resulting Numbers: [11, 56, 44] Generated Node #2: [11, 56, 44] from Operation: 95-51=44 Current State: 52:[11, 56, 44], Operations: ['95-51=44'] Exploring Operation: 44/11=4, Resulting Numbers: [56, 4] Generated Node #3: [56, 4] from Operation: 44/11=4 Current State: 52:[56, 4], Operations: ['95-51=44', '44/11=4'] Exploring Operation: 56-4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 54, 92, 37, 18 ]
19
[ "92-54=38", "37-18=19", "38-19=19" ]
Current State: 19:[54, 92, 37, 18], Operations: [] Exploring Operation: 92-54=38, Resulting Numbers: [37, 18, 38] Generated Node #2: [37, 18, 38] from Operation: 92-54=38 Current State: 19:[37, 18, 38], Operations: ['92-54=38'] Exploring Operation: 37-18=19, Resulting Numbers: [38, 19] Generated Node #3: [38, 19] from Operation: 37-18=19 Current State: 19:[38, 19], Operations: ['92-54=38', '37-18=19'] Exploring Operation: 38-19=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 60, 9, 21, 50 ]
41
[ "60+21=81", "81/9=9", "50-9=41" ]
Current State: 41:[60, 9, 21, 50], Operations: [] Exploring Operation: 60+21=81, Resulting Numbers: [9, 50, 81] Generated Node #2: [9, 50, 81] from Operation: 60+21=81 Current State: 41:[9, 50, 81], Operations: ['60+21=81'] Exploring Operation: 81/9=9, Resulting Numbers: [50, 9] Generated Node #3: [50, 9] from Operation: 81/9=9 Current State: 41:[50, 9], Operations: ['60+21=81', '81/9=9'] Exploring Operation: 50-9=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 87, 62, 32, 93 ]
88
[ "87+62=149", "93-32=61", "149-61=88" ]
Current State: 88:[87, 62, 32, 93], Operations: [] Exploring Operation: 87+62=149, Resulting Numbers: [32, 93, 149] Generated Node #2: [32, 93, 149] from Operation: 87+62=149 Current State: 88:[32, 93, 149], Operations: ['87+62=149'] Exploring Operation: 93-32=61, Resulting Numbers: [149, 61] Generated Node #3: [149, 61] from Operation: 93-32=61 Current State: 88:[149, 61], Operations: ['87+62=149', '93-32=61'] Exploring Operation: 149-61=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 6, 20, 9, 6 ]
68
[ "20-6=14", "9*6=54", "14+54=68" ]
Current State: 68:[6, 20, 9, 6], Operations: [] Exploring Operation: 20-6=14, Resulting Numbers: [9, 14] Generated Node #2: [9, 14] from Operation: 20-6=14 Current State: 68:[9, 14], Operations: ['20-6=14'] Exploring Operation: 9*6=54, Resulting Numbers: [14, 54] Generated Node #3: [14, 54] from Operation: 9*6=54 Current State: 68:[14, 54], Operations: ['20-6=14', '9*6=54'] Exploring Operation: 14+54=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 3, 18, 84, 44 ]
58
[ "18/3=6", "84/6=14", "44+14=58" ]
Current State: 58:[3, 18, 84, 44], Operations: [] Exploring Operation: 18/3=6, Resulting Numbers: [84, 44, 6] Generated Node #2: [84, 44, 6] from Operation: 18/3=6 Current State: 58:[84, 44, 6], Operations: ['18/3=6'] Exploring Operation: 84/6=14, Resulting Numbers: [44, 14] Generated Node #3: [44, 14] from Operation: 84/6=14 Current State: 58:[44, 14], Operations: ['18/3=6', '84/6=14'] Exploring Operation: 44+14=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 10, 31, 49, 82 ]
47
[ "10+31=41", "82/41=2", "49-2=47" ]
Current State: 47:[10, 31, 49, 82], Operations: [] Exploring Operation: 10+31=41, Resulting Numbers: [49, 82, 41] Generated Node #2: [49, 82, 41] from Operation: 10+31=41 Current State: 47:[49, 82, 41], Operations: ['10+31=41'] Exploring Operation: 82/41=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 82/41=2 Current State: 47:[49, 2], Operations: ['10+31=41', '82/41=2'] Exploring Operation: 49-2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 38, 23, 4, 75 ]
86
[ "38-23=15", "75-4=71", "15+71=86" ]
Current State: 86:[38, 23, 4, 75], Operations: [] Exploring Operation: 38-23=15, Resulting Numbers: [4, 75, 15] Generated Node #2: [4, 75, 15] from Operation: 38-23=15 Current State: 86:[4, 75, 15], Operations: ['38-23=15'] Exploring Operation: 75-4=71, Resulting Numbers: [15, 71] Generated Node #3: [15, 71] from Operation: 75-4=71 Current State: 86:[15, 71], Operations: ['38-23=15', '75-4=71'] Exploring Operation: 15+71=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 96, 35, 29, 46 ]
56
[ "96+35=131", "29+46=75", "131-75=56" ]
Current State: 56:[96, 35, 29, 46], Operations: [] Exploring Operation: 96+35=131, Resulting Numbers: [29, 46, 131] Generated Node #2: [29, 46, 131] from Operation: 96+35=131 Current State: 56:[29, 46, 131], Operations: ['96+35=131'] Exploring Operation: 29+46=75, Resulting Numbers: [131, 75] Generated Node #3: [131, 75] from Operation: 29+46=75 Current State: 56:[131, 75], Operations: ['96+35=131', '29+46=75'] Exploring Operation: 131-75=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 3, 58, 74, 28 ]
16
[ "58+74=132", "132/3=44", "44-28=16" ]
Current State: 16:[3, 58, 74, 28], Operations: [] Exploring Operation: 58+74=132, Resulting Numbers: [3, 28, 132] Generated Node #2: [3, 28, 132] from Operation: 58+74=132 Current State: 16:[3, 28, 132], Operations: ['58+74=132'] Exploring Operation: 132/3=44, Resulting Numbers: [28, 44] Generated Node #3: [28, 44] from Operation: 132/3=44 Current State: 16:[28, 44], Operations: ['58+74=132', '132/3=44'] Exploring Operation: 44-28=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 18, 84, 19, 16 ]
100
[ "19-18=1", "84+16=100", "1*100=100" ]
Current State: 100:[18, 84, 19, 16], Operations: [] Exploring Operation: 19-18=1, Resulting Numbers: [84, 16, 1] Generated Node #2: [84, 16, 1] from Operation: 19-18=1 Current State: 100:[84, 16, 1], Operations: ['19-18=1'] Exploring Operation: 84+16=100, Resulting Numbers: [1, 100] Generated Node #3: [1, 100] from Operation: 84+16=100 Current State: 100:[1, 100], Operations: ['19-18=1', '84+16=100'] Exploring Operation: 1*100=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 29, 64, 64, 70 ]
98
[ "29+70=99", "64/64=1", "99-1=98" ]
Current State: 98:[29, 64, 64, 70], Operations: [] Exploring Operation: 29+70=99, Resulting Numbers: [64, 64, 99] Generated Node #2: [64, 64, 99] from Operation: 29+70=99 Current State: 98:[64, 64, 99], Operations: ['29+70=99'] Exploring Operation: 64/64=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 64/64=1 Current State: 98:[99, 1], Operations: ['29+70=99', '64/64=1'] Exploring Operation: 99-1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 18, 2, 59, 51 ]
25
[ "18+59=77", "2*51=102", "102-77=25" ]
Current State: 25:[18, 2, 59, 51], Operations: [] Exploring Operation: 18+59=77, Resulting Numbers: [2, 51, 77] Generated Node #2: [2, 51, 77] from Operation: 18+59=77 Current State: 25:[2, 51, 77], Operations: ['18+59=77'] Exploring Operation: 2*51=102, Resulting Numbers: [77, 102] Generated Node #3: [77, 102] from Operation: 2*51=102 Current State: 25:[77, 102], Operations: ['18+59=77', '2*51=102'] Exploring Operation: 102-77=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 21, 88, 9, 27 ]
73
[ "21+88=109", "9+27=36", "109-36=73" ]
Current State: 73:[21, 88, 9, 27], Operations: [] Exploring Operation: 21+88=109, Resulting Numbers: [9, 27, 109] Generated Node #2: [9, 27, 109] from Operation: 21+88=109 Current State: 73:[9, 27, 109], Operations: ['21+88=109'] Exploring Operation: 9+27=36, Resulting Numbers: [109, 36] Generated Node #3: [109, 36] from Operation: 9+27=36 Current State: 73:[109, 36], Operations: ['21+88=109', '9+27=36'] Exploring Operation: 109-36=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 29, 13, 10, 11 ]
90
[ "29+11=40", "13*10=130", "130-40=90" ]
Current State: 90:[29, 13, 10, 11], Operations: [] Exploring Operation: 29+11=40, Resulting Numbers: [13, 10, 40] Generated Node #2: [13, 10, 40] from Operation: 29+11=40 Current State: 90:[13, 10, 40], Operations: ['29+11=40'] Exploring Operation: 13*10=130, Resulting Numbers: [40, 130] Generated Node #3: [40, 130] from Operation: 13*10=130 Current State: 90:[40, 130], Operations: ['29+11=40', '13*10=130'] Exploring Operation: 130-40=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 64, 30, 2, 12 ]
23
[ "64-30=34", "12+34=46", "46/2=23" ]
Current State: 23:[64, 30, 2, 12], Operations: [] Exploring Operation: 64-30=34, Resulting Numbers: [2, 12, 34] Generated Node #2: [2, 12, 34] from Operation: 64-30=34 Current State: 23:[2, 12, 34], Operations: ['64-30=34'] Exploring Operation: 12+34=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 12+34=46 Current State: 23:[2, 46], Operations: ['64-30=34', '12+34=46'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 37, 36, 80, 46 ]
45
[ "46-36=10", "80/10=8", "37+8=45" ]
Current State: 45:[37, 36, 80, 46], Operations: [] Exploring Operation: 46-36=10, Resulting Numbers: [37, 80, 10] Generated Node #2: [37, 80, 10] from Operation: 46-36=10 Current State: 45:[37, 80, 10], Operations: ['46-36=10'] Exploring Operation: 80/10=8, Resulting Numbers: [37, 8] Generated Node #3: [37, 8] from Operation: 80/10=8 Current State: 45:[37, 8], Operations: ['46-36=10', '80/10=8'] Exploring Operation: 37+8=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 12, 3, 11, 39 ]
92
[ "39-12=27", "3*27=81", "11+81=92" ]
Current State: 92:[12, 3, 11, 39], Operations: [] Exploring Operation: 39-12=27, Resulting Numbers: [3, 11, 27] Generated Node #2: [3, 11, 27] from Operation: 39-12=27 Current State: 92:[3, 11, 27], Operations: ['39-12=27'] Exploring Operation: 3*27=81, Resulting Numbers: [11, 81] Generated Node #3: [11, 81] from Operation: 3*27=81 Current State: 92:[11, 81], Operations: ['39-12=27', '3*27=81'] Exploring Operation: 11+81=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 48, 17, 9, 2 ]
35
[ "17+9=26", "26/2=13", "48-13=35" ]
Current State: 35:[48, 17, 9, 2], Operations: [] Exploring Operation: 17+9=26, Resulting Numbers: [48, 2, 26] Generated Node #2: [48, 2, 26] from Operation: 17+9=26 Current State: 35:[48, 2, 26], Operations: ['17+9=26'] Exploring Operation: 26/2=13, Resulting Numbers: [48, 13] Generated Node #3: [48, 13] from Operation: 26/2=13 Current State: 35:[48, 13], Operations: ['17+9=26', '26/2=13'] Exploring Operation: 48-13=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 30, 15, 74, 99 ]
70
[ "30+15=45", "99-74=25", "45+25=70" ]
Current State: 70:[30, 15, 74, 99], Operations: [] Exploring Operation: 30+15=45, Resulting Numbers: [74, 99, 45] Generated Node #2: [74, 99, 45] from Operation: 30+15=45 Current State: 70:[74, 99, 45], Operations: ['30+15=45'] Exploring Operation: 99-74=25, Resulting Numbers: [45, 25] Generated Node #3: [45, 25] from Operation: 99-74=25 Current State: 70:[45, 25], Operations: ['30+15=45', '99-74=25'] Exploring Operation: 45+25=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 12, 28, 24, 6 ]
16
[ "24/12=2", "6*2=12", "28-12=16" ]
Current State: 16:[12, 28, 24, 6], Operations: [] Exploring Operation: 24/12=2, Resulting Numbers: [28, 6, 2] Generated Node #2: [28, 6, 2] from Operation: 24/12=2 Current State: 16:[28, 6, 2], Operations: ['24/12=2'] Exploring Operation: 6*2=12, Resulting Numbers: [28, 12] Generated Node #3: [28, 12] from Operation: 6*2=12 Current State: 16:[28, 12], Operations: ['24/12=2', '6*2=12'] Exploring Operation: 28-12=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 30, 64, 9, 80 ]
23
[ "30+64=94", "80-9=71", "94-71=23" ]
Current State: 23:[30, 64, 9, 80], Operations: [] Exploring Operation: 30+64=94, Resulting Numbers: [9, 80, 94] Generated Node #2: [9, 80, 94] from Operation: 30+64=94 Current State: 23:[9, 80, 94], Operations: ['30+64=94'] Exploring Operation: 80-9=71, Resulting Numbers: [94, 71] Generated Node #3: [94, 71] from Operation: 80-9=71 Current State: 23:[94, 71], Operations: ['30+64=94', '80-9=71'] Exploring Operation: 94-71=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 95, 84, 77, 82 ]
36
[ "95-77=18", "84-82=2", "18*2=36" ]
Current State: 36:[95, 84, 77, 82], Operations: [] Exploring Operation: 95-77=18, Resulting Numbers: [84, 82, 18] Generated Node #2: [84, 82, 18] from Operation: 95-77=18 Current State: 36:[84, 82, 18], Operations: ['95-77=18'] Exploring Operation: 84-82=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 84-82=2 Current State: 36:[18, 2], Operations: ['95-77=18', '84-82=2'] Exploring Operation: 18*2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 2, 48, 28, 55 ]
59
[ "48/2=24", "28+55=83", "83-24=59" ]
Current State: 59:[2, 48, 28, 55], Operations: [] Exploring Operation: 48/2=24, Resulting Numbers: [28, 55, 24] Generated Node #2: [28, 55, 24] from Operation: 48/2=24 Current State: 59:[28, 55, 24], Operations: ['48/2=24'] Exploring Operation: 28+55=83, Resulting Numbers: [24, 83] Generated Node #3: [24, 83] from Operation: 28+55=83 Current State: 59:[24, 83], Operations: ['48/2=24', '28+55=83'] Exploring Operation: 83-24=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 22, 74, 36, 29 ]
72
[ "22+36=58", "58/29=2", "74-2=72" ]
Current State: 72:[22, 74, 36, 29], Operations: [] Exploring Operation: 22+36=58, Resulting Numbers: [74, 29, 58] Generated Node #2: [74, 29, 58] from Operation: 22+36=58 Current State: 72:[74, 29, 58], Operations: ['22+36=58'] Exploring Operation: 58/29=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 58/29=2 Current State: 72:[74, 2], Operations: ['22+36=58', '58/29=2'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 1, 86, 5, 99 ]
64
[ "99-86=13", "5*13=65", "65-1=64" ]
Current State: 64:[1, 86, 5, 99], Operations: [] Exploring Operation: 99-86=13, Resulting Numbers: [1, 5, 13] Generated Node #2: [1, 5, 13] from Operation: 99-86=13 Current State: 64:[1, 5, 13], Operations: ['99-86=13'] Exploring Operation: 5*13=65, Resulting Numbers: [1, 65] Generated Node #3: [1, 65] from Operation: 5*13=65 Current State: 64:[1, 65], Operations: ['99-86=13', '5*13=65'] Exploring Operation: 65-1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 29, 16, 68, 90 ]
35
[ "29-16=13", "90-68=22", "13+22=35" ]
Current State: 35:[29, 16, 68, 90], Operations: [] Exploring Operation: 29-16=13, Resulting Numbers: [68, 90, 13] Generated Node #2: [68, 90, 13] from Operation: 29-16=13 Current State: 35:[68, 90, 13], Operations: ['29-16=13'] Exploring Operation: 90-68=22, Resulting Numbers: [13, 22] Generated Node #3: [13, 22] from Operation: 90-68=22 Current State: 35:[13, 22], Operations: ['29-16=13', '90-68=22'] Exploring Operation: 13+22=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 68, 30, 26, 47 ]
32
[ "68+26=94", "94/47=2", "30+2=32" ]
Current State: 32:[68, 30, 26, 47], Operations: [] Exploring Operation: 68+26=94, Resulting Numbers: [30, 47, 94] Generated Node #2: [30, 47, 94] from Operation: 68+26=94 Current State: 32:[30, 47, 94], Operations: ['68+26=94'] Exploring Operation: 94/47=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 94/47=2 Current State: 32:[30, 2], Operations: ['68+26=94', '94/47=2'] Exploring Operation: 30+2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 35, 48, 40, 8 ]
49
[ "48+8=56", "35*56=1960", "1960/40=49" ]
Current State: 49:[35, 48, 40, 8], Operations: [] Exploring Operation: 48+8=56, Resulting Numbers: [35, 40, 56] Generated Node #2: [35, 40, 56] from Operation: 48+8=56 Current State: 49:[35, 40, 56], Operations: ['48+8=56'] Exploring Operation: 35*56=1960, Resulting Numbers: [40, 1960] Generated Node #3: [40, 1960] from Operation: 35*56=1960 Current State: 49:[40, 1960], Operations: ['48+8=56', '35*56=1960'] Exploring Operation: 1960/40=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 99, 22, 6, 73 ]
46
[ "99*6=594", "594/22=27", "73-27=46" ]
Current State: 46:[99, 22, 6, 73], Operations: [] Exploring Operation: 99*6=594, Resulting Numbers: [22, 73, 594] Generated Node #2: [22, 73, 594] from Operation: 99*6=594 Current State: 46:[22, 73, 594], Operations: ['99*6=594'] Exploring Operation: 594/22=27, Resulting Numbers: [73, 27] Generated Node #3: [73, 27] from Operation: 594/22=27 Current State: 46:[73, 27], Operations: ['99*6=594', '594/22=27'] Exploring Operation: 73-27=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 76, 20, 81, 6 ]
21
[ "76+20=96", "81-6=75", "96-75=21" ]
Current State: 21:[76, 20, 81, 6], Operations: [] Exploring Operation: 76+20=96, Resulting Numbers: [81, 6, 96] Generated Node #2: [81, 6, 96] from Operation: 76+20=96 Current State: 21:[81, 6, 96], Operations: ['76+20=96'] Exploring Operation: 81-6=75, Resulting Numbers: [96, 75] Generated Node #3: [96, 75] from Operation: 81-6=75 Current State: 21:[96, 75], Operations: ['76+20=96', '81-6=75'] Exploring Operation: 96-75=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 90, 66, 6, 89 ]
85
[ "90-66=24", "24/6=4", "89-4=85" ]
Current State: 85:[90, 66, 6, 89], Operations: [] Exploring Operation: 90-66=24, Resulting Numbers: [6, 89, 24] Generated Node #2: [6, 89, 24] from Operation: 90-66=24 Current State: 85:[6, 89, 24], Operations: ['90-66=24'] Exploring Operation: 24/6=4, Resulting Numbers: [89, 4] Generated Node #3: [89, 4] from Operation: 24/6=4 Current State: 85:[89, 4], Operations: ['90-66=24', '24/6=4'] Exploring Operation: 89-4=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 38, 16, 40, 37 ]
56
[ "38-37=1", "16+40=56", "1*56=56" ]
Current State: 56:[38, 16, 40, 37], Operations: [] Exploring Operation: 38-37=1, Resulting Numbers: [16, 40, 1] Generated Node #2: [16, 40, 1] from Operation: 38-37=1 Current State: 56:[16, 40, 1], Operations: ['38-37=1'] Exploring Operation: 16+40=56, Resulting Numbers: [1, 56] Generated Node #3: [1, 56] from Operation: 16+40=56 Current State: 56:[1, 56], Operations: ['38-37=1', '16+40=56'] Exploring Operation: 1*56=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 7, 84, 28, 59 ]
99
[ "84/7=12", "28+59=87", "12+87=99" ]
Current State: 99:[7, 84, 28, 59], Operations: [] Exploring Operation: 84/7=12, Resulting Numbers: [28, 59, 12] Generated Node #2: [28, 59, 12] from Operation: 84/7=12 Current State: 99:[28, 59, 12], Operations: ['84/7=12'] Exploring Operation: 28+59=87, Resulting Numbers: [12, 87] Generated Node #3: [12, 87] from Operation: 28+59=87 Current State: 99:[12, 87], Operations: ['84/7=12', '28+59=87'] Exploring Operation: 12+87=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 73, 71, 2, 5 ]
48
[ "73+71=144", "5-2=3", "144/3=48" ]
Current State: 48:[73, 71, 2, 5], Operations: [] Exploring Operation: 73+71=144, Resulting Numbers: [2, 5, 144] Generated Node #2: [2, 5, 144] from Operation: 73+71=144 Current State: 48:[2, 5, 144], Operations: ['73+71=144'] Exploring Operation: 5-2=3, Resulting Numbers: [144, 3] Generated Node #3: [144, 3] from Operation: 5-2=3 Current State: 48:[144, 3], Operations: ['73+71=144', '5-2=3'] Exploring Operation: 144/3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 42, 47, 97, 4 ]
96
[ "47-42=5", "97+4=101", "101-5=96" ]
Current State: 96:[42, 47, 97, 4], Operations: [] Exploring Operation: 47-42=5, Resulting Numbers: [97, 4, 5] Generated Node #2: [97, 4, 5] from Operation: 47-42=5 Current State: 96:[97, 4, 5], Operations: ['47-42=5'] Exploring Operation: 97+4=101, Resulting Numbers: [5, 101] Generated Node #3: [5, 101] from Operation: 97+4=101 Current State: 96:[5, 101], Operations: ['47-42=5', '97+4=101'] Exploring Operation: 101-5=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 79, 45, 70, 5 ]
59
[ "79+45=124", "70-5=65", "124-65=59" ]
Current State: 59:[79, 45, 70, 5], Operations: [] Exploring Operation: 79+45=124, Resulting Numbers: [70, 5, 124] Generated Node #2: [70, 5, 124] from Operation: 79+45=124 Current State: 59:[70, 5, 124], Operations: ['79+45=124'] Exploring Operation: 70-5=65, Resulting Numbers: [124, 65] Generated Node #3: [124, 65] from Operation: 70-5=65 Current State: 59:[124, 65], Operations: ['79+45=124', '70-5=65'] Exploring Operation: 124-65=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 22, 43, 8, 46 ]
75
[ "43-22=21", "8+46=54", "21+54=75" ]
Current State: 75:[22, 43, 8, 46], Operations: [] Exploring Operation: 43-22=21, Resulting Numbers: [8, 46, 21] Generated Node #2: [8, 46, 21] from Operation: 43-22=21 Current State: 75:[8, 46, 21], Operations: ['43-22=21'] Exploring Operation: 8+46=54, Resulting Numbers: [21, 54] Generated Node #3: [21, 54] from Operation: 8+46=54 Current State: 75:[21, 54], Operations: ['43-22=21', '8+46=54'] Exploring Operation: 21+54=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 92, 85, 18, 39 ]
28
[ "92-85=7", "39-18=21", "7+21=28" ]
Current State: 28:[92, 85, 18, 39], Operations: [] Exploring Operation: 92-85=7, Resulting Numbers: [18, 39, 7] Generated Node #2: [18, 39, 7] from Operation: 92-85=7 Current State: 28:[18, 39, 7], Operations: ['92-85=7'] Exploring Operation: 39-18=21, Resulting Numbers: [7, 21] Generated Node #3: [7, 21] from Operation: 39-18=21 Current State: 28:[7, 21], Operations: ['92-85=7', '39-18=21'] Exploring Operation: 7+21=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 39, 51, 98, 3 ]
42
[ "98-39=59", "51/3=17", "59-17=42" ]
Current State: 42:[39, 51, 98, 3], Operations: [] Exploring Operation: 98-39=59, Resulting Numbers: [51, 3, 59] Generated Node #2: [51, 3, 59] from Operation: 98-39=59 Current State: 42:[51, 3, 59], Operations: ['98-39=59'] Exploring Operation: 51/3=17, Resulting Numbers: [59, 17] Generated Node #3: [59, 17] from Operation: 51/3=17 Current State: 42:[59, 17], Operations: ['98-39=59', '51/3=17'] Exploring Operation: 59-17=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 63, 82, 40, 7 ]
66
[ "82-63=19", "40+7=47", "19+47=66" ]
Current State: 66:[63, 82, 40, 7], Operations: [] Exploring Operation: 82-63=19, Resulting Numbers: [40, 7, 19] Generated Node #2: [40, 7, 19] from Operation: 82-63=19 Current State: 66:[40, 7, 19], Operations: ['82-63=19'] Exploring Operation: 40+7=47, Resulting Numbers: [19, 47] Generated Node #3: [19, 47] from Operation: 40+7=47 Current State: 66:[19, 47], Operations: ['82-63=19', '40+7=47'] Exploring Operation: 19+47=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 91, 71, 37, 81 ]
64
[ "91-71=20", "81-37=44", "20+44=64" ]
Current State: 64:[91, 71, 37, 81], Operations: [] Exploring Operation: 91-71=20, Resulting Numbers: [37, 81, 20] Generated Node #2: [37, 81, 20] from Operation: 91-71=20 Current State: 64:[37, 81, 20], Operations: ['91-71=20'] Exploring Operation: 81-37=44, Resulting Numbers: [20, 44] Generated Node #3: [20, 44] from Operation: 81-37=44 Current State: 64:[20, 44], Operations: ['91-71=20', '81-37=44'] Exploring Operation: 20+44=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 7, 48, 84, 4 ]
79
[ "7+84=91", "48/4=12", "91-12=79" ]
Current State: 79:[7, 48, 84, 4], Operations: [] Exploring Operation: 7+84=91, Resulting Numbers: [48, 4, 91] Generated Node #2: [48, 4, 91] from Operation: 7+84=91 Current State: 79:[48, 4, 91], Operations: ['7+84=91'] Exploring Operation: 48/4=12, Resulting Numbers: [91, 12] Generated Node #3: [91, 12] from Operation: 48/4=12 Current State: 79:[91, 12], Operations: ['7+84=91', '48/4=12'] Exploring Operation: 91-12=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4