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
[ 19, 79, 7, 25 ]
29
[ "19*7=133", "79+25=104", "133-104=29" ]
Current State: 29:[19, 79, 7, 25], Operations: [] Exploring Operation: 19*7=133, Resulting Numbers: [79, 25, 133] Generated Node #2: [79, 25, 133] from Operation: 19*7=133 Current State: 29:[79, 25, 133], Operations: ['19*7=133'] Exploring Operation: 79+25=104, Resulting Numbers: [133, 104] Generated Node #3: [133, 104] from Operation: 79+25=104 Current State: 29:[133, 104], Operations: ['19*7=133', '79+25=104'] Exploring Operation: 133-104=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 40, 5, 25, 62 ]
13
[ "40-25=15", "5*15=75", "75-62=13" ]
Current State: 13:[40, 5, 25, 62], Operations: [] Exploring Operation: 40-25=15, Resulting Numbers: [5, 62, 15] Generated Node #2: [5, 62, 15] from Operation: 40-25=15 Current State: 13:[5, 62, 15], Operations: ['40-25=15'] Exploring Operation: 5*15=75, Resulting Numbers: [62, 75] Generated Node #3: [62, 75] from Operation: 5*15=75 Current State: 13:[62, 75], Operations: ['40-25=15', '5*15=75'] Exploring Operation: 75-62=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 9, 51, 94, 27 ]
98
[ "9*27=243", "51+94=145", "243-145=98" ]
Current State: 98:[9, 51, 94, 27], Operations: [] Exploring Operation: 9*27=243, Resulting Numbers: [51, 94, 243] Generated Node #2: [51, 94, 243] from Operation: 9*27=243 Current State: 98:[51, 94, 243], Operations: ['9*27=243'] Exploring Operation: 51+94=145, Resulting Numbers: [243, 145] Generated Node #3: [243, 145] from Operation: 51+94=145 Current State: 98:[243, 145], Operations: ['9*27=243', '51+94=145'] Exploring Operation: 243-145=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 74, 2, 45, 94 ]
72
[ "74+45=119", "94/2=47", "119-47=72" ]
Current State: 72:[74, 2, 45, 94], Operations: [] Exploring Operation: 74+45=119, Resulting Numbers: [2, 94, 119] Generated Node #2: [2, 94, 119] from Operation: 74+45=119 Current State: 72:[2, 94, 119], Operations: ['74+45=119'] Exploring Operation: 94/2=47, Resulting Numbers: [119, 47] Generated Node #3: [119, 47] from Operation: 94/2=47 Current State: 72:[119, 47], Operations: ['74+45=119', '94/2=47'] Exploring Operation: 119-47=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 72, 45, 2, 70 ]
41
[ "72-45=27", "70-2=68", "68-27=41" ]
Current State: 41:[72, 45, 2, 70], Operations: [] Exploring Operation: 72-45=27, Resulting Numbers: [2, 70, 27] Generated Node #2: [2, 70, 27] from Operation: 72-45=27 Current State: 41:[2, 70, 27], Operations: ['72-45=27'] Exploring Operation: 70-2=68, Resulting Numbers: [27, 68] Generated Node #3: [27, 68] from Operation: 70-2=68 Current State: 41:[27, 68], Operations: ['72-45=27', '70-2=68'] Exploring Operation: 68-27=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 18, 68, 25, 78 ]
45
[ "18*25=450", "78-68=10", "450/10=45" ]
Current State: 45:[18, 68, 25, 78], Operations: [] Exploring Operation: 18*25=450, Resulting Numbers: [68, 78, 450] Generated Node #2: [68, 78, 450] from Operation: 18*25=450 Current State: 45:[68, 78, 450], Operations: ['18*25=450'] Exploring Operation: 78-68=10, Resulting Numbers: [450, 10] Generated Node #3: [450, 10] from Operation: 78-68=10 Current State: 45:[450, 10], Operations: ['18*25=450', '78-68=10'] Exploring Operation: 450/10=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 15, 29, 17, 13 ]
55
[ "17-15=2", "13*2=26", "29+26=55" ]
Current State: 55:[15, 29, 17, 13], Operations: [] Exploring Operation: 17-15=2, Resulting Numbers: [29, 13, 2] Generated Node #2: [29, 13, 2] from Operation: 17-15=2 Current State: 55:[29, 13, 2], Operations: ['17-15=2'] Exploring Operation: 13*2=26, Resulting Numbers: [29, 26] Generated Node #3: [29, 26] from Operation: 13*2=26 Current State: 55:[29, 26], Operations: ['17-15=2', '13*2=26'] Exploring Operation: 29+26=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 93, 7, 16, 18 ]
43
[ "93-7=86", "18-16=2", "86/2=43" ]
Current State: 43:[93, 7, 16, 18], Operations: [] Exploring Operation: 93-7=86, Resulting Numbers: [16, 18, 86] Generated Node #2: [16, 18, 86] from Operation: 93-7=86 Current State: 43:[16, 18, 86], Operations: ['93-7=86'] Exploring Operation: 18-16=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 18-16=2 Current State: 43:[86, 2], Operations: ['93-7=86', '18-16=2'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 87, 70, 93, 5 ]
59
[ "87+70=157", "93+5=98", "157-98=59" ]
Current State: 59:[87, 70, 93, 5], Operations: [] Exploring Operation: 87+70=157, Resulting Numbers: [93, 5, 157] Generated Node #2: [93, 5, 157] from Operation: 87+70=157 Current State: 59:[93, 5, 157], Operations: ['87+70=157'] Exploring Operation: 93+5=98, Resulting Numbers: [157, 98] Generated Node #3: [157, 98] from Operation: 93+5=98 Current State: 59:[157, 98], Operations: ['87+70=157', '93+5=98'] Exploring Operation: 157-98=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 60, 38, 10, 12 ]
36
[ "60/10=6", "12/6=2", "38-2=36" ]
Current State: 36:[60, 38, 10, 12], Operations: [] Exploring Operation: 60/10=6, Resulting Numbers: [38, 12, 6] Generated Node #2: [38, 12, 6] from Operation: 60/10=6 Current State: 36:[38, 12, 6], Operations: ['60/10=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: ['60/10=6', '12/6=2'] Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 43, 3, 3, 2 ]
26
[ "43+3=46", "46/2=23", "3+23=26" ]
Current State: 26:[43, 3, 3, 2], Operations: [] Exploring Operation: 43+3=46, Resulting Numbers: [2, 46] Generated Node #2: [2, 46] from Operation: 43+3=46 Current State: 26:[2, 46], Operations: ['43+3=46'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,26 equal: Goal Reached Exploring Operation: 3+23=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 92, 21, 19, 77 ]
10
[ "92+21=113", "77+113=190", "190/19=10" ]
Current State: 10:[92, 21, 19, 77], Operations: [] Exploring Operation: 92+21=113, Resulting Numbers: [19, 77, 113] Generated Node #2: [19, 77, 113] from Operation: 92+21=113 Current State: 10:[19, 77, 113], Operations: ['92+21=113'] Exploring Operation: 77+113=190, Resulting Numbers: [19, 190] Generated Node #3: [19, 190] from Operation: 77+113=190 Current State: 10:[19, 190], Operations: ['92+21=113', '77+113=190'] Exploring Operation: 190/19=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 92, 74, 3, 67 ]
13
[ "92-74=18", "3*18=54", "67-54=13" ]
Current State: 13:[92, 74, 3, 67], Operations: [] Exploring Operation: 92-74=18, Resulting Numbers: [3, 67, 18] Generated Node #2: [3, 67, 18] from Operation: 92-74=18 Current State: 13:[3, 67, 18], Operations: ['92-74=18'] Exploring Operation: 3*18=54, Resulting Numbers: [67, 54] Generated Node #3: [67, 54] from Operation: 3*18=54 Current State: 13:[67, 54], Operations: ['92-74=18', '3*18=54'] Exploring Operation: 67-54=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 33, 46, 73, 59 ]
71
[ "33+59=92", "92/46=2", "73-2=71" ]
Current State: 71:[33, 46, 73, 59], Operations: [] Exploring Operation: 33+59=92, Resulting Numbers: [46, 73, 92] Generated Node #2: [46, 73, 92] from Operation: 33+59=92 Current State: 71:[46, 73, 92], Operations: ['33+59=92'] Exploring Operation: 92/46=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 92/46=2 Current State: 71:[73, 2], Operations: ['33+59=92', '92/46=2'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 26, 22, 69, 25 ]
98
[ "26-22=4", "69+25=94", "4+94=98" ]
Current State: 98:[26, 22, 69, 25], Operations: [] Exploring Operation: 26-22=4, Resulting Numbers: [69, 25, 4] Generated Node #2: [69, 25, 4] from Operation: 26-22=4 Current State: 98:[69, 25, 4], Operations: ['26-22=4'] Exploring Operation: 69+25=94, Resulting Numbers: [4, 94] Generated Node #3: [4, 94] from Operation: 69+25=94 Current State: 98:[4, 94], Operations: ['26-22=4', '69+25=94'] Exploring Operation: 4+94=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 54, 33, 17, 3 ]
68
[ "54/3=18", "33+17=50", "18+50=68" ]
Current State: 68:[54, 33, 17, 3], Operations: [] Exploring Operation: 54/3=18, Resulting Numbers: [33, 17, 18] Generated Node #2: [33, 17, 18] from Operation: 54/3=18 Current State: 68:[33, 17, 18], Operations: ['54/3=18'] Exploring Operation: 33+17=50, Resulting Numbers: [18, 50] Generated Node #3: [18, 50] from Operation: 33+17=50 Current State: 68:[18, 50], Operations: ['54/3=18', '33+17=50'] Exploring Operation: 18+50=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 25, 45, 12, 60 ]
36
[ "45-25=20", "12*60=720", "720/20=36" ]
Current State: 36:[25, 45, 12, 60], Operations: [] Exploring Operation: 45-25=20, Resulting Numbers: [12, 60, 20] Generated Node #2: [12, 60, 20] from Operation: 45-25=20 Current State: 36:[12, 60, 20], Operations: ['45-25=20'] Exploring Operation: 12*60=720, Resulting Numbers: [20, 720] Generated Node #3: [20, 720] from Operation: 12*60=720 Current State: 36:[20, 720], Operations: ['45-25=20', '12*60=720'] Exploring Operation: 720/20=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 4, 78, 17, 39 ]
88
[ "78-17=61", "61-39=22", "4*22=88" ]
Current State: 88:[4, 78, 17, 39], Operations: [] Exploring Operation: 78-17=61, Resulting Numbers: [4, 39, 61] Generated Node #2: [4, 39, 61] from Operation: 78-17=61 Current State: 88:[4, 39, 61], Operations: ['78-17=61'] Exploring Operation: 61-39=22, Resulting Numbers: [4, 22] Generated Node #3: [4, 22] from Operation: 61-39=22 Current State: 88:[4, 22], Operations: ['78-17=61', '61-39=22'] Exploring Operation: 4*22=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 98, 41, 10, 55 ]
94
[ "98+41=139", "55-10=45", "139-45=94" ]
Current State: 94:[98, 41, 10, 55], Operations: [] Exploring Operation: 98+41=139, Resulting Numbers: [10, 55, 139] Generated Node #2: [10, 55, 139] from Operation: 98+41=139 Current State: 94:[10, 55, 139], Operations: ['98+41=139'] Exploring Operation: 55-10=45, Resulting Numbers: [139, 45] Generated Node #3: [139, 45] from Operation: 55-10=45 Current State: 94:[139, 45], Operations: ['98+41=139', '55-10=45'] Exploring Operation: 139-45=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 51, 3, 83, 56 ]
16
[ "56-51=5", "83-3=80", "80/5=16" ]
Current State: 16:[51, 3, 83, 56], Operations: [] Exploring Operation: 56-51=5, Resulting Numbers: [3, 83, 5] Generated Node #2: [3, 83, 5] from Operation: 56-51=5 Current State: 16:[3, 83, 5], Operations: ['56-51=5'] Exploring Operation: 83-3=80, Resulting Numbers: [5, 80] Generated Node #3: [5, 80] from Operation: 83-3=80 Current State: 16:[5, 80], Operations: ['56-51=5', '83-3=80'] Exploring Operation: 80/5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 16, 3, 87, 21 ]
34
[ "21-16=5", "87/3=29", "5+29=34" ]
Current State: 34:[16, 3, 87, 21], Operations: [] Exploring Operation: 21-16=5, Resulting Numbers: [3, 87, 5] Generated Node #2: [3, 87, 5] from Operation: 21-16=5 Current State: 34:[3, 87, 5], Operations: ['21-16=5'] Exploring Operation: 87/3=29, Resulting Numbers: [5, 29] Generated Node #3: [5, 29] from Operation: 87/3=29 Current State: 34:[5, 29], Operations: ['21-16=5', '87/3=29'] Exploring Operation: 5+29=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 14, 71, 11, 5 ]
69
[ "14+71=85", "11+5=16", "85-16=69" ]
Current State: 69:[14, 71, 11, 5], Operations: [] Exploring Operation: 14+71=85, Resulting Numbers: [11, 5, 85] Generated Node #2: [11, 5, 85] from Operation: 14+71=85 Current State: 69:[11, 5, 85], Operations: ['14+71=85'] Exploring Operation: 11+5=16, Resulting Numbers: [85, 16] Generated Node #3: [85, 16] from Operation: 11+5=16 Current State: 69:[85, 16], Operations: ['14+71=85', '11+5=16'] Exploring Operation: 85-16=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 5, 40, 5, 53 ]
23
[ "40-5=35", "5+53=58", "58-35=23" ]
Current State: 23:[5, 40, 5, 53], Operations: [] Exploring Operation: 40-5=35, Resulting Numbers: [53, 35] Generated Node #2: [53, 35] from Operation: 40-5=35 Current State: 23:[53, 35], Operations: ['40-5=35'] Exploring Operation: 5+53=58, Resulting Numbers: [35, 58] Generated Node #3: [35, 58] from Operation: 5+53=58 Current State: 23:[35, 58], Operations: ['40-5=35', '5+53=58'] Exploring Operation: 58-35=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 30, 41, 61, 2 ]
35
[ "30/2=15", "61-41=20", "15+20=35" ]
Current State: 35:[30, 41, 61, 2], Operations: [] Exploring Operation: 30/2=15, Resulting Numbers: [41, 61, 15] Generated Node #2: [41, 61, 15] from Operation: 30/2=15 Current State: 35:[41, 61, 15], Operations: ['30/2=15'] Exploring Operation: 61-41=20, Resulting Numbers: [15, 20] Generated Node #3: [15, 20] from Operation: 61-41=20 Current State: 35:[15, 20], Operations: ['30/2=15', '61-41=20'] Exploring Operation: 15+20=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 44, 72, 9, 36 ]
97
[ "44*72=3168", "3168/36=88", "9+88=97" ]
Current State: 97:[44, 72, 9, 36], Operations: [] Exploring Operation: 44*72=3168, Resulting Numbers: [9, 36, 3168] Generated Node #2: [9, 36, 3168] from Operation: 44*72=3168 Current State: 97:[9, 36, 3168], Operations: ['44*72=3168'] Exploring Operation: 3168/36=88, Resulting Numbers: [9, 88] Generated Node #3: [9, 88] from Operation: 3168/36=88 Current State: 97:[9, 88], Operations: ['44*72=3168', '3168/36=88'] Exploring Operation: 9+88=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 44, 38, 70, 14 ]
77
[ "44+38=82", "70/14=5", "82-5=77" ]
Current State: 77:[44, 38, 70, 14], Operations: [] Exploring Operation: 44+38=82, Resulting Numbers: [70, 14, 82] Generated Node #2: [70, 14, 82] from Operation: 44+38=82 Current State: 77:[70, 14, 82], Operations: ['44+38=82'] Exploring Operation: 70/14=5, Resulting Numbers: [82, 5] Generated Node #3: [82, 5] from Operation: 70/14=5 Current State: 77:[82, 5], Operations: ['44+38=82', '70/14=5'] Exploring Operation: 82-5=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 2, 54, 37, 88 ]
47
[ "88/2=44", "54+37=91", "91-44=47" ]
Current State: 47:[2, 54, 37, 88], Operations: [] Exploring Operation: 88/2=44, Resulting Numbers: [54, 37, 44] Generated Node #2: [54, 37, 44] from Operation: 88/2=44 Current State: 47:[54, 37, 44], Operations: ['88/2=44'] Exploring Operation: 54+37=91, Resulting Numbers: [44, 91] Generated Node #3: [44, 91] from Operation: 54+37=91 Current State: 47:[44, 91], Operations: ['88/2=44', '54+37=91'] Exploring Operation: 91-44=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 90, 45, 3, 18 ]
30
[ "90-45=45", "18-3=15", "45-15=30" ]
Current State: 30:[90, 45, 3, 18], Operations: [] Exploring Operation: 90-45=45, Resulting Numbers: [3, 18, 45] Generated Node #2: [3, 18, 45] from Operation: 90-45=45 Current State: 30:[3, 18, 45], Operations: ['90-45=45'] Exploring Operation: 18-3=15, Resulting Numbers: [45, 15] Generated Node #3: [45, 15] from Operation: 18-3=15 Current State: 30:[45, 15], Operations: ['90-45=45', '18-3=15'] Exploring Operation: 45-15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 98, 38, 12, 4 ]
63
[ "98-38=60", "12/4=3", "60+3=63" ]
Current State: 63:[98, 38, 12, 4], Operations: [] Exploring Operation: 98-38=60, Resulting Numbers: [12, 4, 60] Generated Node #2: [12, 4, 60] from Operation: 98-38=60 Current State: 63:[12, 4, 60], Operations: ['98-38=60'] Exploring Operation: 12/4=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 12/4=3 Current State: 63:[60, 3], Operations: ['98-38=60', '12/4=3'] Exploring Operation: 60+3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 1, 19, 29, 21 ]
68
[ "19-1=18", "29+21=50", "18+50=68" ]
Current State: 68:[1, 19, 29, 21], Operations: [] Exploring Operation: 19-1=18, Resulting Numbers: [29, 21, 18] Generated Node #2: [29, 21, 18] from Operation: 19-1=18 Current State: 68:[29, 21, 18], Operations: ['19-1=18'] Exploring Operation: 29+21=50, Resulting Numbers: [18, 50] Generated Node #3: [18, 50] from Operation: 29+21=50 Current State: 68:[18, 50], Operations: ['19-1=18', '29+21=50'] Exploring Operation: 18+50=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 4, 67, 20, 38 ]
65
[ "4*38=152", "67+20=87", "152-87=65" ]
Current State: 65:[4, 67, 20, 38], Operations: [] Exploring Operation: 4*38=152, Resulting Numbers: [67, 20, 152] Generated Node #2: [67, 20, 152] from Operation: 4*38=152 Current State: 65:[67, 20, 152], Operations: ['4*38=152'] Exploring Operation: 67+20=87, Resulting Numbers: [152, 87] Generated Node #3: [152, 87] from Operation: 67+20=87 Current State: 65:[152, 87], Operations: ['4*38=152', '67+20=87'] Exploring Operation: 152-87=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 50, 72, 79, 1 ]
45
[ "50*72=3600", "79+1=80", "3600/80=45" ]
Current State: 45:[50, 72, 79, 1], Operations: [] Exploring Operation: 50*72=3600, Resulting Numbers: [79, 1, 3600] Generated Node #2: [79, 1, 3600] from Operation: 50*72=3600 Current State: 45:[79, 1, 3600], Operations: ['50*72=3600'] Exploring Operation: 79+1=80, Resulting Numbers: [3600, 80] Generated Node #3: [3600, 80] from Operation: 79+1=80 Current State: 45:[3600, 80], Operations: ['50*72=3600', '79+1=80'] Exploring Operation: 3600/80=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 25, 46, 28, 31 ]
74
[ "25+46=71", "31-28=3", "71+3=74" ]
Current State: 74:[25, 46, 28, 31], Operations: [] Exploring Operation: 25+46=71, Resulting Numbers: [28, 31, 71] Generated Node #2: [28, 31, 71] from Operation: 25+46=71 Current State: 74:[28, 31, 71], Operations: ['25+46=71'] Exploring Operation: 31-28=3, Resulting Numbers: [71, 3] Generated Node #3: [71, 3] from Operation: 31-28=3 Current State: 74:[71, 3], Operations: ['25+46=71', '31-28=3'] Exploring Operation: 71+3=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 6, 8, 20, 51 ]
60
[ "6*8=48", "51-48=3", "20*3=60" ]
Current State: 60:[6, 8, 20, 51], Operations: [] Exploring Operation: 6*8=48, Resulting Numbers: [20, 51, 48] Generated Node #2: [20, 51, 48] from Operation: 6*8=48 Current State: 60:[20, 51, 48], Operations: ['6*8=48'] Exploring Operation: 51-48=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 51-48=3 Current State: 60:[20, 3], Operations: ['6*8=48', '51-48=3'] Exploring Operation: 20*3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 39, 51, 13, 70 ]
22
[ "39/13=3", "70-51=19", "3+19=22" ]
Current State: 22:[39, 51, 13, 70], Operations: [] Exploring Operation: 39/13=3, Resulting Numbers: [51, 70, 3] Generated Node #2: [51, 70, 3] from Operation: 39/13=3 Current State: 22:[51, 70, 3], Operations: ['39/13=3'] Exploring Operation: 70-51=19, Resulting Numbers: [3, 19] Generated Node #3: [3, 19] from Operation: 70-51=19 Current State: 22:[3, 19], Operations: ['39/13=3', '70-51=19'] Exploring Operation: 3+19=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 57, 63, 2, 65 ]
58
[ "63+2=65", "65/65=1", "57+1=58" ]
Current State: 58:[57, 63, 2, 65], Operations: [] Exploring Operation: 63+2=65, Resulting Numbers: [57, 65, 65] Generated Node #2: [57, 65, 65] from Operation: 63+2=65 Current State: 58:[57, 65, 65], Operations: ['63+2=65'] Exploring Operation: 65/65=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 65/65=1 Current State: 58:[57, 1], Operations: ['63+2=65', '65/65=1'] Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 86, 25, 72, 90 ]
43
[ "86-25=61", "90-72=18", "61-18=43" ]
Current State: 43:[86, 25, 72, 90], Operations: [] Exploring Operation: 86-25=61, Resulting Numbers: [72, 90, 61] Generated Node #2: [72, 90, 61] from Operation: 86-25=61 Current State: 43:[72, 90, 61], Operations: ['86-25=61'] Exploring Operation: 90-72=18, Resulting Numbers: [61, 18] Generated Node #3: [61, 18] from Operation: 90-72=18 Current State: 43:[61, 18], Operations: ['86-25=61', '90-72=18'] Exploring Operation: 61-18=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 28, 64, 34, 73 ]
75
[ "64-28=36", "73-34=39", "36+39=75" ]
Current State: 75:[28, 64, 34, 73], Operations: [] Exploring Operation: 64-28=36, Resulting Numbers: [34, 73, 36] Generated Node #2: [34, 73, 36] from Operation: 64-28=36 Current State: 75:[34, 73, 36], Operations: ['64-28=36'] Exploring Operation: 73-34=39, Resulting Numbers: [36, 39] Generated Node #3: [36, 39] from Operation: 73-34=39 Current State: 75:[36, 39], Operations: ['64-28=36', '73-34=39'] Exploring Operation: 36+39=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 16, 86, 4, 61 ]
13
[ "86-16=70", "61-4=57", "70-57=13" ]
Current State: 13:[16, 86, 4, 61], Operations: [] Exploring Operation: 86-16=70, Resulting Numbers: [4, 61, 70] Generated Node #2: [4, 61, 70] from Operation: 86-16=70 Current State: 13:[4, 61, 70], Operations: ['86-16=70'] Exploring Operation: 61-4=57, Resulting Numbers: [70, 57] Generated Node #3: [70, 57] from Operation: 61-4=57 Current State: 13:[70, 57], Operations: ['86-16=70', '61-4=57'] Exploring Operation: 70-57=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 39, 72, 24, 24 ]
42
[ "39*24=936", "72+936=1008", "1008/24=42" ]
Current State: 42:[39, 72, 24, 24], Operations: [] Exploring Operation: 39*24=936, Resulting Numbers: [72, 936] Generated Node #2: [72, 936] from Operation: 39*24=936 Current State: 42:[72, 936], Operations: ['39*24=936'] Exploring Operation: 72+936=1008, Resulting Numbers: [1008] 1008,42 equal: Goal Reached Exploring Operation: 1008/24=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 36, 42, 59, 9 ]
28
[ "36+42=78", "59-9=50", "78-50=28" ]
Current State: 28:[36, 42, 59, 9], Operations: [] Exploring Operation: 36+42=78, Resulting Numbers: [59, 9, 78] Generated Node #2: [59, 9, 78] from Operation: 36+42=78 Current State: 28:[59, 9, 78], Operations: ['36+42=78'] Exploring Operation: 59-9=50, Resulting Numbers: [78, 50] Generated Node #3: [78, 50] from Operation: 59-9=50 Current State: 28:[78, 50], Operations: ['36+42=78', '59-9=50'] Exploring Operation: 78-50=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 62, 95, 49, 14 ]
30
[ "95-62=33", "49+14=63", "63-33=30" ]
Current State: 30:[62, 95, 49, 14], Operations: [] Exploring Operation: 95-62=33, Resulting Numbers: [49, 14, 33] Generated Node #2: [49, 14, 33] from Operation: 95-62=33 Current State: 30:[49, 14, 33], Operations: ['95-62=33'] Exploring Operation: 49+14=63, Resulting Numbers: [33, 63] Generated Node #3: [33, 63] from Operation: 49+14=63 Current State: 30:[33, 63], Operations: ['95-62=33', '49+14=63'] Exploring Operation: 63-33=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 44, 88, 87, 48 ]
41
[ "88/44=2", "87-48=39", "2+39=41" ]
Current State: 41:[44, 88, 87, 48], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [87, 48, 2] Generated Node #2: [87, 48, 2] from Operation: 88/44=2 Current State: 41:[87, 48, 2], Operations: ['88/44=2'] Exploring Operation: 87-48=39, Resulting Numbers: [2, 39] Generated Node #3: [2, 39] from Operation: 87-48=39 Current State: 41:[2, 39], Operations: ['88/44=2', '87-48=39'] Exploring Operation: 2+39=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 65, 79, 55, 75 ]
81
[ "55+75=130", "130/65=2", "79+2=81" ]
Current State: 81:[65, 79, 55, 75], Operations: [] Exploring Operation: 55+75=130, Resulting Numbers: [65, 79, 130] Generated Node #2: [65, 79, 130] from Operation: 55+75=130 Current State: 81:[65, 79, 130], Operations: ['55+75=130'] Exploring Operation: 130/65=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 130/65=2 Current State: 81:[79, 2], Operations: ['55+75=130', '130/65=2'] Exploring Operation: 79+2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 2, 83, 7, 77 ]
11
[ "83-2=81", "77-7=70", "81-70=11" ]
Current State: 11:[2, 83, 7, 77], Operations: [] Exploring Operation: 83-2=81, Resulting Numbers: [7, 77, 81] Generated Node #2: [7, 77, 81] from Operation: 83-2=81 Current State: 11:[7, 77, 81], Operations: ['83-2=81'] Exploring Operation: 77-7=70, Resulting Numbers: [81, 70] Generated Node #3: [81, 70] from Operation: 77-7=70 Current State: 11:[81, 70], Operations: ['83-2=81', '77-7=70'] Exploring Operation: 81-70=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 83, 10, 89, 4 ]
53
[ "83+89=172", "172/4=43", "10+43=53" ]
Current State: 53:[83, 10, 89, 4], Operations: [] Exploring Operation: 83+89=172, Resulting Numbers: [10, 4, 172] Generated Node #2: [10, 4, 172] from Operation: 83+89=172 Current State: 53:[10, 4, 172], Operations: ['83+89=172'] Exploring Operation: 172/4=43, Resulting Numbers: [10, 43] Generated Node #3: [10, 43] from Operation: 172/4=43 Current State: 53:[10, 43], Operations: ['83+89=172', '172/4=43'] Exploring Operation: 10+43=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 74, 20, 10, 15 ]
29
[ "74-20=54", "10+15=25", "54-25=29" ]
Current State: 29:[74, 20, 10, 15], Operations: [] Exploring Operation: 74-20=54, Resulting Numbers: [10, 15, 54] Generated Node #2: [10, 15, 54] from Operation: 74-20=54 Current State: 29:[10, 15, 54], Operations: ['74-20=54'] Exploring Operation: 10+15=25, Resulting Numbers: [54, 25] Generated Node #3: [54, 25] from Operation: 10+15=25 Current State: 29:[54, 25], Operations: ['74-20=54', '10+15=25'] Exploring Operation: 54-25=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 16, 39, 88, 9 ]
47
[ "88-16=72", "72/9=8", "39+8=47" ]
Current State: 47:[16, 39, 88, 9], Operations: [] Exploring Operation: 88-16=72, Resulting Numbers: [39, 9, 72] Generated Node #2: [39, 9, 72] from Operation: 88-16=72 Current State: 47:[39, 9, 72], Operations: ['88-16=72'] Exploring Operation: 72/9=8, Resulting Numbers: [39, 8] Generated Node #3: [39, 8] from Operation: 72/9=8 Current State: 47:[39, 8], Operations: ['88-16=72', '72/9=8'] Exploring Operation: 39+8=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 82, 50, 2, 29 ]
93
[ "82-50=32", "2*32=64", "29+64=93" ]
Current State: 93:[82, 50, 2, 29], Operations: [] Exploring Operation: 82-50=32, Resulting Numbers: [2, 29, 32] Generated Node #2: [2, 29, 32] from Operation: 82-50=32 Current State: 93:[2, 29, 32], Operations: ['82-50=32'] Exploring Operation: 2*32=64, Resulting Numbers: [29, 64] Generated Node #3: [29, 64] from Operation: 2*32=64 Current State: 93:[29, 64], Operations: ['82-50=32', '2*32=64'] Exploring Operation: 29+64=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 31, 5, 48, 18 ]
66
[ "31+5=36", "48-18=30", "36+30=66" ]
Current State: 66:[31, 5, 48, 18], Operations: [] Exploring Operation: 31+5=36, Resulting Numbers: [48, 18, 36] Generated Node #2: [48, 18, 36] from Operation: 31+5=36 Current State: 66:[48, 18, 36], Operations: ['31+5=36'] Exploring Operation: 48-18=30, Resulting Numbers: [36, 30] Generated Node #3: [36, 30] from Operation: 48-18=30 Current State: 66:[36, 30], Operations: ['31+5=36', '48-18=30'] Exploring Operation: 36+30=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 10, 52, 60, 10 ]
49
[ "10+10=20", "60/20=3", "52-3=49" ]
Current State: 49:[10, 52, 60, 10], Operations: [] Exploring Operation: 10+10=20, Resulting Numbers: [52, 60, 20] Generated Node #2: [52, 60, 20] from Operation: 10+10=20 Current State: 49:[52, 60, 20], Operations: ['10+10=20'] Exploring Operation: 60/20=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 60/20=3 Current State: 49:[52, 3], Operations: ['10+10=20', '60/20=3'] Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 86, 52, 26, 55 ]
24
[ "52/26=2", "55*2=110", "110-86=24" ]
Current State: 24:[86, 52, 26, 55], Operations: [] Exploring Operation: 52/26=2, Resulting Numbers: [86, 55, 2] Generated Node #2: [86, 55, 2] from Operation: 52/26=2 Current State: 24:[86, 55, 2], Operations: ['52/26=2'] Exploring Operation: 55*2=110, Resulting Numbers: [86, 110] Generated Node #3: [86, 110] from Operation: 55*2=110 Current State: 24:[86, 110], Operations: ['52/26=2', '55*2=110'] Exploring Operation: 110-86=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 97, 46, 2, 85 ]
63
[ "97*2=194", "46+85=131", "194-131=63" ]
Current State: 63:[97, 46, 2, 85], Operations: [] Exploring Operation: 97*2=194, Resulting Numbers: [46, 85, 194] Generated Node #2: [46, 85, 194] from Operation: 97*2=194 Current State: 63:[46, 85, 194], Operations: ['97*2=194'] Exploring Operation: 46+85=131, Resulting Numbers: [194, 131] Generated Node #3: [194, 131] from Operation: 46+85=131 Current State: 63:[194, 131], Operations: ['97*2=194', '46+85=131'] Exploring Operation: 194-131=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 78, 92, 6, 19 ]
100
[ "92-78=14", "6*19=114", "114-14=100" ]
Current State: 100:[78, 92, 6, 19], Operations: [] Exploring Operation: 92-78=14, Resulting Numbers: [6, 19, 14] Generated Node #2: [6, 19, 14] from Operation: 92-78=14 Current State: 100:[6, 19, 14], Operations: ['92-78=14'] Exploring Operation: 6*19=114, Resulting Numbers: [14, 114] Generated Node #3: [14, 114] from Operation: 6*19=114 Current State: 100:[14, 114], Operations: ['92-78=14', '6*19=114'] Exploring Operation: 114-14=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 2, 29, 50, 80 ]
57
[ "29-2=27", "80-50=30", "27+30=57" ]
Current State: 57:[2, 29, 50, 80], Operations: [] Exploring Operation: 29-2=27, Resulting Numbers: [50, 80, 27] Generated Node #2: [50, 80, 27] from Operation: 29-2=27 Current State: 57:[50, 80, 27], Operations: ['29-2=27'] Exploring Operation: 80-50=30, Resulting Numbers: [27, 30] Generated Node #3: [27, 30] from Operation: 80-50=30 Current State: 57:[27, 30], Operations: ['29-2=27', '80-50=30'] Exploring Operation: 27+30=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 84, 67, 71, 54 ]
34
[ "84-67=17", "71-54=17", "17+17=34" ]
Current State: 34:[84, 67, 71, 54], Operations: [] Exploring Operation: 84-67=17, Resulting Numbers: [71, 54, 17] Generated Node #2: [71, 54, 17] from Operation: 84-67=17 Current State: 34:[71, 54, 17], Operations: ['84-67=17'] Exploring Operation: 71-54=17, Resulting Numbers: [17, 17] Generated Node #3: [17, 17] from Operation: 71-54=17 Current State: 34:[17, 17], Operations: ['84-67=17', '71-54=17'] Exploring Operation: 17+17=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 24, 98, 21, 13 ]
94
[ "21-13=8", "24*8=192", "192-98=94" ]
Current State: 94:[24, 98, 21, 13], Operations: [] Exploring Operation: 21-13=8, Resulting Numbers: [24, 98, 8] Generated Node #2: [24, 98, 8] from Operation: 21-13=8 Current State: 94:[24, 98, 8], Operations: ['21-13=8'] Exploring Operation: 24*8=192, Resulting Numbers: [98, 192] Generated Node #3: [98, 192] from Operation: 24*8=192 Current State: 94:[98, 192], Operations: ['21-13=8', '24*8=192'] Exploring Operation: 192-98=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 30, 77, 1, 7 ]
19
[ "30*1=30", "77/7=11", "30-11=19" ]
Current State: 19:[30, 77, 1, 7], Operations: [] Exploring Operation: 30*1=30, Resulting Numbers: [77, 7, 30] Generated Node #2: [77, 7, 30] from Operation: 30*1=30 Current State: 19:[77, 7, 30], Operations: ['30*1=30'] Exploring Operation: 77/7=11, Resulting Numbers: [30, 11] Generated Node #3: [30, 11] from Operation: 77/7=11 Current State: 19:[30, 11], Operations: ['30*1=30', '77/7=11'] Exploring Operation: 30-11=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 37, 45, 65, 34 ]
51
[ "37+45=82", "65-34=31", "82-31=51" ]
Current State: 51:[37, 45, 65, 34], Operations: [] Exploring Operation: 37+45=82, Resulting Numbers: [65, 34, 82] Generated Node #2: [65, 34, 82] from Operation: 37+45=82 Current State: 51:[65, 34, 82], Operations: ['37+45=82'] Exploring Operation: 65-34=31, Resulting Numbers: [82, 31] Generated Node #3: [82, 31] from Operation: 65-34=31 Current State: 51:[82, 31], Operations: ['37+45=82', '65-34=31'] Exploring Operation: 82-31=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 34, 27, 32, 2 ]
31
[ "34+27=61", "32-2=30", "61-30=31" ]
Current State: 31:[34, 27, 32, 2], Operations: [] Exploring Operation: 34+27=61, Resulting Numbers: [32, 2, 61] Generated Node #2: [32, 2, 61] from Operation: 34+27=61 Current State: 31:[32, 2, 61], Operations: ['34+27=61'] Exploring Operation: 32-2=30, Resulting Numbers: [61, 30] Generated Node #3: [61, 30] from Operation: 32-2=30 Current State: 31:[61, 30], Operations: ['34+27=61', '32-2=30'] Exploring Operation: 61-30=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 62, 42, 75, 86 ]
93
[ "62+42=104", "86-75=11", "104-11=93" ]
Current State: 93:[62, 42, 75, 86], Operations: [] Exploring Operation: 62+42=104, Resulting Numbers: [75, 86, 104] Generated Node #2: [75, 86, 104] from Operation: 62+42=104 Current State: 93:[75, 86, 104], Operations: ['62+42=104'] Exploring Operation: 86-75=11, Resulting Numbers: [104, 11] Generated Node #3: [104, 11] from Operation: 86-75=11 Current State: 93:[104, 11], Operations: ['62+42=104', '86-75=11'] Exploring Operation: 104-11=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 27, 68, 60, 8 ]
37
[ "68-60=8", "8*8=64", "64-27=37" ]
Current State: 37:[27, 68, 60, 8], Operations: [] Exploring Operation: 68-60=8, Resulting Numbers: [27, 8, 8] Generated Node #2: [27, 8, 8] from Operation: 68-60=8 Current State: 37:[27, 8, 8], Operations: ['68-60=8'] Exploring Operation: 8*8=64, Resulting Numbers: [27, 64] Generated Node #3: [27, 64] from Operation: 8*8=64 Current State: 37:[27, 64], Operations: ['68-60=8', '8*8=64'] Exploring Operation: 64-27=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 38, 73, 57, 8 ]
54
[ "73+8=81", "38*81=3078", "3078/57=54" ]
Current State: 54:[38, 73, 57, 8], Operations: [] Exploring Operation: 73+8=81, Resulting Numbers: [38, 57, 81] Generated Node #2: [38, 57, 81] from Operation: 73+8=81 Current State: 54:[38, 57, 81], Operations: ['73+8=81'] Exploring Operation: 38*81=3078, Resulting Numbers: [57, 3078] Generated Node #3: [57, 3078] from Operation: 38*81=3078 Current State: 54:[57, 3078], Operations: ['73+8=81', '38*81=3078'] Exploring Operation: 3078/57=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 52, 55, 42, 72 ]
58
[ "55-52=3", "42/3=14", "72-14=58" ]
Current State: 58:[52, 55, 42, 72], Operations: [] Exploring Operation: 55-52=3, Resulting Numbers: [42, 72, 3] Generated Node #2: [42, 72, 3] from Operation: 55-52=3 Current State: 58:[42, 72, 3], Operations: ['55-52=3'] Exploring Operation: 42/3=14, Resulting Numbers: [72, 14] Generated Node #3: [72, 14] from Operation: 42/3=14 Current State: 58:[72, 14], Operations: ['55-52=3', '42/3=14'] Exploring Operation: 72-14=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 15, 70, 12, 90 ]
18
[ "15+90=105", "12*105=1260", "1260/70=18" ]
Current State: 18:[15, 70, 12, 90], Operations: [] Exploring Operation: 15+90=105, Resulting Numbers: [70, 12, 105] Generated Node #2: [70, 12, 105] from Operation: 15+90=105 Current State: 18:[70, 12, 105], Operations: ['15+90=105'] Exploring Operation: 12*105=1260, Resulting Numbers: [70, 1260] Generated Node #3: [70, 1260] from Operation: 12*105=1260 Current State: 18:[70, 1260], Operations: ['15+90=105', '12*105=1260'] Exploring Operation: 1260/70=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 35, 17, 24, 97 ]
91
[ "35-17=18", "97-24=73", "18+73=91" ]
Current State: 91:[35, 17, 24, 97], Operations: [] Exploring Operation: 35-17=18, Resulting Numbers: [24, 97, 18] Generated Node #2: [24, 97, 18] from Operation: 35-17=18 Current State: 91:[24, 97, 18], Operations: ['35-17=18'] Exploring Operation: 97-24=73, Resulting Numbers: [18, 73] Generated Node #3: [18, 73] from Operation: 97-24=73 Current State: 91:[18, 73], Operations: ['35-17=18', '97-24=73'] Exploring Operation: 18+73=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 2, 22, 47, 39 ]
13
[ "2*22=44", "47-44=3", "39/3=13" ]
Current State: 13:[2, 22, 47, 39], Operations: [] Exploring Operation: 2*22=44, Resulting Numbers: [47, 39, 44] Generated Node #2: [47, 39, 44] from Operation: 2*22=44 Current State: 13:[47, 39, 44], Operations: ['2*22=44'] Exploring Operation: 47-44=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 47-44=3 Current State: 13:[39, 3], Operations: ['2*22=44', '47-44=3'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 7, 66, 57, 35 ]
21
[ "7*66=462", "57-35=22", "462/22=21" ]
Current State: 21:[7, 66, 57, 35], Operations: [] Exploring Operation: 7*66=462, Resulting Numbers: [57, 35, 462] Generated Node #2: [57, 35, 462] from Operation: 7*66=462 Current State: 21:[57, 35, 462], Operations: ['7*66=462'] Exploring Operation: 57-35=22, Resulting Numbers: [462, 22] Generated Node #3: [462, 22] from Operation: 57-35=22 Current State: 21:[462, 22], Operations: ['7*66=462', '57-35=22'] Exploring Operation: 462/22=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 77, 12, 93, 33 ]
29
[ "77+12=89", "93-33=60", "89-60=29" ]
Current State: 29:[77, 12, 93, 33], Operations: [] Exploring Operation: 77+12=89, Resulting Numbers: [93, 33, 89] Generated Node #2: [93, 33, 89] from Operation: 77+12=89 Current State: 29:[93, 33, 89], Operations: ['77+12=89'] Exploring Operation: 93-33=60, Resulting Numbers: [89, 60] Generated Node #3: [89, 60] from Operation: 93-33=60 Current State: 29:[89, 60], Operations: ['77+12=89', '93-33=60'] Exploring Operation: 89-60=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 57, 53, 16, 76 ]
80
[ "57-53=4", "16/4=4", "76+4=80" ]
Current State: 80:[57, 53, 16, 76], Operations: [] Exploring Operation: 57-53=4, Resulting Numbers: [16, 76, 4] Generated Node #2: [16, 76, 4] from Operation: 57-53=4 Current State: 80:[16, 76, 4], Operations: ['57-53=4'] Exploring Operation: 16/4=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 16/4=4 Current State: 80:[76, 4], Operations: ['57-53=4', '16/4=4'] Exploring Operation: 76+4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 79, 82, 31, 61 ]
90
[ "82-79=3", "61-31=30", "3*30=90" ]
Current State: 90:[79, 82, 31, 61], Operations: [] Exploring Operation: 82-79=3, Resulting Numbers: [31, 61, 3] Generated Node #2: [31, 61, 3] from Operation: 82-79=3 Current State: 90:[31, 61, 3], Operations: ['82-79=3'] Exploring Operation: 61-31=30, Resulting Numbers: [3, 30] Generated Node #3: [3, 30] from Operation: 61-31=30 Current State: 90:[3, 30], Operations: ['82-79=3', '61-31=30'] Exploring Operation: 3*30=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 19, 87, 32, 17 ]
26
[ "87+32=119", "119/17=7", "19+7=26" ]
Current State: 26:[19, 87, 32, 17], Operations: [] Exploring Operation: 87+32=119, Resulting Numbers: [19, 17, 119] Generated Node #2: [19, 17, 119] from Operation: 87+32=119 Current State: 26:[19, 17, 119], Operations: ['87+32=119'] Exploring Operation: 119/17=7, Resulting Numbers: [19, 7] Generated Node #3: [19, 7] from Operation: 119/17=7 Current State: 26:[19, 7], Operations: ['87+32=119', '119/17=7'] Exploring Operation: 19+7=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 37, 65, 39, 18 ]
94
[ "39-37=2", "65-18=47", "2*47=94" ]
Current State: 94:[37, 65, 39, 18], Operations: [] Exploring Operation: 39-37=2, Resulting Numbers: [65, 18, 2] Generated Node #2: [65, 18, 2] from Operation: 39-37=2 Current State: 94:[65, 18, 2], Operations: ['39-37=2'] Exploring Operation: 65-18=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 65-18=47 Current State: 94:[2, 47], Operations: ['39-37=2', '65-18=47'] Exploring Operation: 2*47=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 67, 30, 82, 24 ]
42
[ "67*30=2010", "82*24=1968", "2010-1968=42" ]
Current State: 42:[67, 30, 82, 24], Operations: [] Exploring Operation: 67*30=2010, Resulting Numbers: [82, 24, 2010] Generated Node #2: [82, 24, 2010] from Operation: 67*30=2010 Current State: 42:[82, 24, 2010], Operations: ['67*30=2010'] Exploring Operation: 82*24=1968, Resulting Numbers: [2010, 1968] Generated Node #3: [2010, 1968] from Operation: 82*24=1968 Current State: 42:[2010, 1968], Operations: ['67*30=2010', '82*24=1968'] Exploring Operation: 2010-1968=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 41, 38, 80, 40 ]
82
[ "80-38=42", "42-40=2", "41*2=82" ]
Current State: 82:[41, 38, 80, 40], Operations: [] Exploring Operation: 80-38=42, Resulting Numbers: [41, 40, 42] Generated Node #2: [41, 40, 42] from Operation: 80-38=42 Current State: 82:[41, 40, 42], Operations: ['80-38=42'] Exploring Operation: 42-40=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 42-40=2 Current State: 82:[41, 2], Operations: ['80-38=42', '42-40=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 55, 42, 3, 9 ]
39
[ "55-42=13", "9/3=3", "13*3=39" ]
Current State: 39:[55, 42, 3, 9], Operations: [] Exploring Operation: 55-42=13, Resulting Numbers: [3, 9, 13] Generated Node #2: [3, 9, 13] from Operation: 55-42=13 Current State: 39:[3, 9, 13], Operations: ['55-42=13'] Exploring Operation: 9/3=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 9/3=3 Current State: 39:[13, 3], Operations: ['55-42=13', '9/3=3'] Exploring Operation: 13*3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 78, 4, 34, 42 ]
46
[ "42-34=8", "4*8=32", "78-32=46" ]
Current State: 46:[78, 4, 34, 42], Operations: [] Exploring Operation: 42-34=8, Resulting Numbers: [78, 4, 8] Generated Node #2: [78, 4, 8] from Operation: 42-34=8 Current State: 46:[78, 4, 8], Operations: ['42-34=8'] Exploring Operation: 4*8=32, Resulting Numbers: [78, 32] Generated Node #3: [78, 32] from Operation: 4*8=32 Current State: 46:[78, 32], Operations: ['42-34=8', '4*8=32'] Exploring Operation: 78-32=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 23, 75, 57, 56 ]
98
[ "23+75=98", "57-56=1", "98*1=98" ]
Current State: 98:[23, 75, 57, 56], Operations: [] Exploring Operation: 23+75=98, Resulting Numbers: [57, 56, 98] Generated Node #2: [57, 56, 98] from Operation: 23+75=98 Current State: 98:[57, 56, 98], Operations: ['23+75=98'] Exploring Operation: 57-56=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 57-56=1 Current State: 98:[98, 1], Operations: ['23+75=98', '57-56=1'] Exploring Operation: 98*1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 14, 56, 10, 2 ]
45
[ "14+56=70", "70/2=35", "10+35=45" ]
Current State: 45:[14, 56, 10, 2], Operations: [] Exploring Operation: 14+56=70, Resulting Numbers: [10, 2, 70] Generated Node #2: [10, 2, 70] from Operation: 14+56=70 Current State: 45:[10, 2, 70], Operations: ['14+56=70'] Exploring Operation: 70/2=35, Resulting Numbers: [10, 35] Generated Node #3: [10, 35] from Operation: 70/2=35 Current State: 45:[10, 35], Operations: ['14+56=70', '70/2=35'] Exploring Operation: 10+35=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 38, 77, 62, 18 ]
14
[ "62*18=1116", "1116-38=1078", "1078/77=14" ]
Current State: 14:[38, 77, 62, 18], Operations: [] Exploring Operation: 62*18=1116, Resulting Numbers: [38, 77, 1116] Generated Node #2: [38, 77, 1116] from Operation: 62*18=1116 Current State: 14:[38, 77, 1116], Operations: ['62*18=1116'] Exploring Operation: 1116-38=1078, Resulting Numbers: [77, 1078] Generated Node #3: [77, 1078] from Operation: 1116-38=1078 Current State: 14:[77, 1078], Operations: ['62*18=1116', '1116-38=1078'] Exploring Operation: 1078/77=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 46, 71, 67, 79 ]
76
[ "71+67=138", "138/46=3", "79-3=76" ]
Current State: 76:[46, 71, 67, 79], Operations: [] Exploring Operation: 71+67=138, Resulting Numbers: [46, 79, 138] Generated Node #2: [46, 79, 138] from Operation: 71+67=138 Current State: 76:[46, 79, 138], Operations: ['71+67=138'] Exploring Operation: 138/46=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 138/46=3 Current State: 76:[79, 3], Operations: ['71+67=138', '138/46=3'] Exploring Operation: 79-3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 60, 82, 59, 57 ]
44
[ "82-60=22", "59-57=2", "22*2=44" ]
Current State: 44:[60, 82, 59, 57], Operations: [] Exploring Operation: 82-60=22, Resulting Numbers: [59, 57, 22] Generated Node #2: [59, 57, 22] from Operation: 82-60=22 Current State: 44:[59, 57, 22], Operations: ['82-60=22'] Exploring Operation: 59-57=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 59-57=2 Current State: 44:[22, 2], Operations: ['82-60=22', '59-57=2'] Exploring Operation: 22*2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 96, 14, 42, 8 ]
89
[ "14+42=56", "56/8=7", "96-7=89" ]
Current State: 89:[96, 14, 42, 8], Operations: [] Exploring Operation: 14+42=56, Resulting Numbers: [96, 8, 56] Generated Node #2: [96, 8, 56] from Operation: 14+42=56 Current State: 89:[96, 8, 56], Operations: ['14+42=56'] Exploring Operation: 56/8=7, Resulting Numbers: [96, 7] Generated Node #3: [96, 7] from Operation: 56/8=7 Current State: 89:[96, 7], Operations: ['14+42=56', '56/8=7'] Exploring Operation: 96-7=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 50, 60, 23, 38 ]
50
[ "60-23=37", "38-37=1", "50*1=50" ]
Current State: 50:[50, 60, 23, 38], Operations: [] Exploring Operation: 60-23=37, Resulting Numbers: [50, 38, 37] Generated Node #2: [50, 38, 37] from Operation: 60-23=37 Current State: 50:[50, 38, 37], Operations: ['60-23=37'] Exploring Operation: 38-37=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 38-37=1 Current State: 50:[50, 1], Operations: ['60-23=37', '38-37=1'] Exploring Operation: 50*1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 7, 47, 25, 29 ]
50
[ "7+47=54", "29-25=4", "54-4=50" ]
Current State: 50:[7, 47, 25, 29], Operations: [] Exploring Operation: 7+47=54, Resulting Numbers: [25, 29, 54] Generated Node #2: [25, 29, 54] from Operation: 7+47=54 Current State: 50:[25, 29, 54], Operations: ['7+47=54'] Exploring Operation: 29-25=4, Resulting Numbers: [54, 4] Generated Node #3: [54, 4] from Operation: 29-25=4 Current State: 50:[54, 4], Operations: ['7+47=54', '29-25=4'] Exploring Operation: 54-4=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 85, 40, 27, 2 ]
100
[ "85+40=125", "27-2=25", "125-25=100" ]
Current State: 100:[85, 40, 27, 2], Operations: [] Exploring Operation: 85+40=125, Resulting Numbers: [27, 2, 125] Generated Node #2: [27, 2, 125] from Operation: 85+40=125 Current State: 100:[27, 2, 125], Operations: ['85+40=125'] Exploring Operation: 27-2=25, Resulting Numbers: [125, 25] Generated Node #3: [125, 25] from Operation: 27-2=25 Current State: 100:[125, 25], Operations: ['85+40=125', '27-2=25'] Exploring Operation: 125-25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 39, 97, 2, 19 ]
10
[ "97-39=58", "58/2=29", "29-19=10" ]
Current State: 10:[39, 97, 2, 19], Operations: [] Exploring Operation: 97-39=58, Resulting Numbers: [2, 19, 58] Generated Node #2: [2, 19, 58] from Operation: 97-39=58 Current State: 10:[2, 19, 58], Operations: ['97-39=58'] Exploring Operation: 58/2=29, Resulting Numbers: [19, 29] Generated Node #3: [19, 29] from Operation: 58/2=29 Current State: 10:[19, 29], Operations: ['97-39=58', '58/2=29'] Exploring Operation: 29-19=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 62, 12, 19, 13 ]
56
[ "62-12=50", "19-13=6", "50+6=56" ]
Current State: 56:[62, 12, 19, 13], Operations: [] Exploring Operation: 62-12=50, Resulting Numbers: [19, 13, 50] Generated Node #2: [19, 13, 50] from Operation: 62-12=50 Current State: 56:[19, 13, 50], Operations: ['62-12=50'] Exploring Operation: 19-13=6, Resulting Numbers: [50, 6] Generated Node #3: [50, 6] from Operation: 19-13=6 Current State: 56:[50, 6], Operations: ['62-12=50', '19-13=6'] Exploring Operation: 50+6=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 5, 95, 34, 38 ]
23
[ "95/5=19", "38-34=4", "19+4=23" ]
Current State: 23:[5, 95, 34, 38], Operations: [] Exploring Operation: 95/5=19, Resulting Numbers: [34, 38, 19] Generated Node #2: [34, 38, 19] from Operation: 95/5=19 Current State: 23:[34, 38, 19], Operations: ['95/5=19'] Exploring Operation: 38-34=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 38-34=4 Current State: 23:[19, 4], Operations: ['95/5=19', '38-34=4'] Exploring Operation: 19+4=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 36, 2, 12, 9 ]
31
[ "36-2=34", "12-9=3", "34-3=31" ]
Current State: 31:[36, 2, 12, 9], Operations: [] Exploring Operation: 36-2=34, Resulting Numbers: [12, 9, 34] Generated Node #2: [12, 9, 34] from Operation: 36-2=34 Current State: 31:[12, 9, 34], Operations: ['36-2=34'] Exploring Operation: 12-9=3, Resulting Numbers: [34, 3] Generated Node #3: [34, 3] from Operation: 12-9=3 Current State: 31:[34, 3], Operations: ['36-2=34', '12-9=3'] Exploring Operation: 34-3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 6, 72, 89, 34 ]
45
[ "6+72=78", "89+34=123", "123-78=45" ]
Current State: 45:[6, 72, 89, 34], Operations: [] Exploring Operation: 6+72=78, Resulting Numbers: [89, 34, 78] Generated Node #2: [89, 34, 78] from Operation: 6+72=78 Current State: 45:[89, 34, 78], Operations: ['6+72=78'] Exploring Operation: 89+34=123, Resulting Numbers: [78, 123] Generated Node #3: [78, 123] from Operation: 89+34=123 Current State: 45:[78, 123], Operations: ['6+72=78', '89+34=123'] Exploring Operation: 123-78=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 3, 27, 22, 3 ]
58
[ "3*3=9", "27+22=49", "9+49=58" ]
Current State: 58:[3, 27, 22, 3], Operations: [] Exploring Operation: 3*3=9, Resulting Numbers: [27, 22, 9] Generated Node #2: [27, 22, 9] from Operation: 3*3=9 Current State: 58:[27, 22, 9], Operations: ['3*3=9'] Exploring Operation: 27+22=49, Resulting Numbers: [9, 49] Generated Node #3: [9, 49] from Operation: 27+22=49 Current State: 58:[9, 49], Operations: ['3*3=9', '27+22=49'] Exploring Operation: 9+49=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 20, 45, 55, 67 ]
72
[ "45+55=100", "100/20=5", "67+5=72" ]
Current State: 72:[20, 45, 55, 67], Operations: [] Exploring Operation: 45+55=100, Resulting Numbers: [20, 67, 100] Generated Node #2: [20, 67, 100] from Operation: 45+55=100 Current State: 72:[20, 67, 100], Operations: ['45+55=100'] Exploring Operation: 100/20=5, Resulting Numbers: [67, 5] Generated Node #3: [67, 5] from Operation: 100/20=5 Current State: 72:[67, 5], Operations: ['45+55=100', '100/20=5'] Exploring Operation: 67+5=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 45, 73, 46, 24 ]
48
[ "45+73=118", "46+24=70", "118-70=48" ]
Current State: 48:[45, 73, 46, 24], Operations: [] Exploring Operation: 45+73=118, Resulting Numbers: [46, 24, 118] Generated Node #2: [46, 24, 118] from Operation: 45+73=118 Current State: 48:[46, 24, 118], Operations: ['45+73=118'] Exploring Operation: 46+24=70, Resulting Numbers: [118, 70] Generated Node #3: [118, 70] from Operation: 46+24=70 Current State: 48:[118, 70], Operations: ['45+73=118', '46+24=70'] Exploring Operation: 118-70=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 42, 24, 8, 45 ]
90
[ "42+45=87", "24/8=3", "87+3=90" ]
Current State: 90:[42, 24, 8, 45], Operations: [] Exploring Operation: 42+45=87, Resulting Numbers: [24, 8, 87] Generated Node #2: [24, 8, 87] from Operation: 42+45=87 Current State: 90:[24, 8, 87], Operations: ['42+45=87'] Exploring Operation: 24/8=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 24/8=3 Current State: 90:[87, 3], Operations: ['42+45=87', '24/8=3'] Exploring Operation: 87+3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 80, 35, 32, 54 ]
68
[ "35*32=1120", "1120/80=14", "54+14=68" ]
Current State: 68:[80, 35, 32, 54], Operations: [] Exploring Operation: 35*32=1120, Resulting Numbers: [80, 54, 1120] Generated Node #2: [80, 54, 1120] from Operation: 35*32=1120 Current State: 68:[80, 54, 1120], Operations: ['35*32=1120'] Exploring Operation: 1120/80=14, Resulting Numbers: [54, 14] Generated Node #3: [54, 14] from Operation: 1120/80=14 Current State: 68:[54, 14], Operations: ['35*32=1120', '1120/80=14'] Exploring Operation: 54+14=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 3, 19, 85, 16 ]
84
[ "19-3=16", "16/16=1", "85-1=84" ]
Current State: 84:[3, 19, 85, 16], Operations: [] Exploring Operation: 19-3=16, Resulting Numbers: [85, 16, 16] Generated Node #2: [85, 16, 16] from Operation: 19-3=16 Current State: 84:[85, 16, 16], Operations: ['19-3=16'] Exploring Operation: 16/16=1, Resulting Numbers: [85, 1] Generated Node #3: [85, 1] from Operation: 16/16=1 Current State: 84:[85, 1], Operations: ['19-3=16', '16/16=1'] Exploring Operation: 85-1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 70, 89, 42, 14 ]
16
[ "89-70=19", "42/14=3", "19-3=16" ]
Current State: 16:[70, 89, 42, 14], Operations: [] Exploring Operation: 89-70=19, Resulting Numbers: [42, 14, 19] Generated Node #2: [42, 14, 19] from Operation: 89-70=19 Current State: 16:[42, 14, 19], Operations: ['89-70=19'] Exploring Operation: 42/14=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 42/14=3 Current State: 16:[19, 3], Operations: ['89-70=19', '42/14=3'] Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 72, 45, 27, 53 ]
37
[ "72+45=117", "27+53=80", "117-80=37" ]
Current State: 37:[72, 45, 27, 53], Operations: [] Exploring Operation: 72+45=117, Resulting Numbers: [27, 53, 117] Generated Node #2: [27, 53, 117] from Operation: 72+45=117 Current State: 37:[27, 53, 117], Operations: ['72+45=117'] Exploring Operation: 27+53=80, Resulting Numbers: [117, 80] Generated Node #3: [117, 80] from Operation: 27+53=80 Current State: 37:[117, 80], Operations: ['72+45=117', '27+53=80'] Exploring Operation: 117-80=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 22, 92, 53, 22 ]
92
[ "22-22=0", "53*0=0", "92+0=92" ]
Current State: 92:[22, 92, 53, 22], Operations: [] Exploring Operation: 22-22=0, Resulting Numbers: [92, 53, 0] Generated Node #2: [92, 53, 0] from Operation: 22-22=0 Current State: 92:[92, 53, 0], Operations: ['22-22=0'] Exploring Operation: 53*0=0, Resulting Numbers: [92, 0] Generated Node #3: [92, 0] from Operation: 53*0=0 Current State: 92:[92, 0], Operations: ['22-22=0', '53*0=0'] Exploring Operation: 92+0=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4