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
[ 15, 75, 54, 94 ]
20
[ "75-15=60", "94-54=40", "60-40=20" ]
Current State: 20:[15, 75, 54, 94], Operations: [] Exploring Operation: 75-15=60, Resulting Numbers: [54, 94, 60] Generated Node #2: [54, 94, 60] from Operation: 75-15=60 Current State: 20:[54, 94, 60], Operations: ['75-15=60'] Exploring Operation: 94-54=40, Resulting Numbers: [60, 40] Generated Node #3: [60, 40] from Operation: 94-54=40 Current State: 20:[60, 40], Operations: ['75-15=60', '94-54=40'] Exploring Operation: 60-40=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 97, 82, 81, 41 ]
18
[ "97-81=16", "82/41=2", "16+2=18" ]
Current State: 18:[97, 82, 81, 41], Operations: [] Exploring Operation: 97-81=16, Resulting Numbers: [82, 41, 16] Generated Node #2: [82, 41, 16] from Operation: 97-81=16 Current State: 18:[82, 41, 16], Operations: ['97-81=16'] Exploring Operation: 82/41=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 82/41=2 Current State: 18:[16, 2], Operations: ['97-81=16', '82/41=2'] Exploring Operation: 16+2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 6, 12, 23, 32 ]
78
[ "12/6=2", "23*2=46", "32+46=78" ]
Current State: 78:[6, 12, 23, 32], Operations: [] Exploring Operation: 12/6=2, Resulting Numbers: [23, 32, 2] Generated Node #2: [23, 32, 2] from Operation: 12/6=2 Current State: 78:[23, 32, 2], Operations: ['12/6=2'] Exploring Operation: 23*2=46, Resulting Numbers: [32, 46] Generated Node #3: [32, 46] from Operation: 23*2=46 Current State: 78:[32, 46], Operations: ['12/6=2', '23*2=46'] Exploring Operation: 32+46=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 38, 61, 96, 10 ]
30
[ "38+61=99", "99-96=3", "10*3=30" ]
Current State: 30:[38, 61, 96, 10], Operations: [] Exploring Operation: 38+61=99, Resulting Numbers: [96, 10, 99] Generated Node #2: [96, 10, 99] from Operation: 38+61=99 Current State: 30:[96, 10, 99], Operations: ['38+61=99'] Exploring Operation: 99-96=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 99-96=3 Current State: 30:[10, 3], Operations: ['38+61=99', '99-96=3'] Exploring Operation: 10*3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 36, 26, 92, 53 ]
83
[ "36+26=62", "92+53=145", "145-62=83" ]
Current State: 83:[36, 26, 92, 53], Operations: [] Exploring Operation: 36+26=62, Resulting Numbers: [92, 53, 62] Generated Node #2: [92, 53, 62] from Operation: 36+26=62 Current State: 83:[92, 53, 62], Operations: ['36+26=62'] Exploring Operation: 92+53=145, Resulting Numbers: [62, 145] Generated Node #3: [62, 145] from Operation: 92+53=145 Current State: 83:[62, 145], Operations: ['36+26=62', '92+53=145'] Exploring Operation: 145-62=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 24, 6, 26, 94 ]
10
[ "24/6=4", "26*4=104", "104-94=10" ]
Current State: 10:[24, 6, 26, 94], Operations: [] Exploring Operation: 24/6=4, Resulting Numbers: [26, 94, 4] Generated Node #2: [26, 94, 4] from Operation: 24/6=4 Current State: 10:[26, 94, 4], Operations: ['24/6=4'] Exploring Operation: 26*4=104, Resulting Numbers: [94, 104] Generated Node #3: [94, 104] from Operation: 26*4=104 Current State: 10:[94, 104], Operations: ['24/6=4', '26*4=104'] Exploring Operation: 104-94=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 40, 3, 85, 44 ]
57
[ "40+44=84", "84/3=28", "85-28=57" ]
Current State: 57:[40, 3, 85, 44], Operations: [] Exploring Operation: 40+44=84, Resulting Numbers: [3, 85, 84] Generated Node #2: [3, 85, 84] from Operation: 40+44=84 Current State: 57:[3, 85, 84], Operations: ['40+44=84'] Exploring Operation: 84/3=28, Resulting Numbers: [85, 28] Generated Node #3: [85, 28] from Operation: 84/3=28 Current State: 57:[85, 28], Operations: ['40+44=84', '84/3=28'] Exploring Operation: 85-28=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 15, 51, 61, 18 ]
30
[ "18-15=3", "61-51=10", "3*10=30" ]
Current State: 30:[15, 51, 61, 18], Operations: [] Exploring Operation: 18-15=3, Resulting Numbers: [51, 61, 3] Generated Node #2: [51, 61, 3] from Operation: 18-15=3 Current State: 30:[51, 61, 3], Operations: ['18-15=3'] Exploring Operation: 61-51=10, Resulting Numbers: [3, 10] Generated Node #3: [3, 10] from Operation: 61-51=10 Current State: 30:[3, 10], Operations: ['18-15=3', '61-51=10'] Exploring Operation: 3*10=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 93, 86, 58, 91 ]
26
[ "93-86=7", "91-58=33", "33-7=26" ]
Current State: 26:[93, 86, 58, 91], Operations: [] Exploring Operation: 93-86=7, Resulting Numbers: [58, 91, 7] Generated Node #2: [58, 91, 7] from Operation: 93-86=7 Current State: 26:[58, 91, 7], Operations: ['93-86=7'] Exploring Operation: 91-58=33, Resulting Numbers: [7, 33] Generated Node #3: [7, 33] from Operation: 91-58=33 Current State: 26:[7, 33], Operations: ['93-86=7', '91-58=33'] Exploring Operation: 33-7=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 17, 30, 56, 28 ]
43
[ "30*56=1680", "1680/28=60", "60-17=43" ]
Current State: 43:[17, 30, 56, 28], Operations: [] Exploring Operation: 30*56=1680, Resulting Numbers: [17, 28, 1680] Generated Node #2: [17, 28, 1680] from Operation: 30*56=1680 Current State: 43:[17, 28, 1680], Operations: ['30*56=1680'] Exploring Operation: 1680/28=60, Resulting Numbers: [17, 60] Generated Node #3: [17, 60] from Operation: 1680/28=60 Current State: 43:[17, 60], Operations: ['30*56=1680', '1680/28=60'] Exploring Operation: 60-17=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 44, 88, 69, 53 ]
18
[ "88/44=2", "69-53=16", "2+16=18" ]
Current State: 18:[44, 88, 69, 53], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [69, 53, 2] Generated Node #2: [69, 53, 2] from Operation: 88/44=2 Current State: 18:[69, 53, 2], Operations: ['88/44=2'] Exploring Operation: 69-53=16, Resulting Numbers: [2, 16] Generated Node #3: [2, 16] from Operation: 69-53=16 Current State: 18:[2, 16], Operations: ['88/44=2', '69-53=16'] Exploring Operation: 2+16=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 93, 52, 89, 90 ]
40
[ "93-52=41", "90-89=1", "41-1=40" ]
Current State: 40:[93, 52, 89, 90], Operations: [] Exploring Operation: 93-52=41, Resulting Numbers: [89, 90, 41] Generated Node #2: [89, 90, 41] from Operation: 93-52=41 Current State: 40:[89, 90, 41], Operations: ['93-52=41'] Exploring Operation: 90-89=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 90-89=1 Current State: 40:[41, 1], Operations: ['93-52=41', '90-89=1'] Exploring Operation: 41-1=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 63, 46, 35, 45 ]
95
[ "63*35=2205", "2205/45=49", "46+49=95" ]
Current State: 95:[63, 46, 35, 45], Operations: [] Exploring Operation: 63*35=2205, Resulting Numbers: [46, 45, 2205] Generated Node #2: [46, 45, 2205] from Operation: 63*35=2205 Current State: 95:[46, 45, 2205], Operations: ['63*35=2205'] Exploring Operation: 2205/45=49, Resulting Numbers: [46, 49] Generated Node #3: [46, 49] from Operation: 2205/45=49 Current State: 95:[46, 49], Operations: ['63*35=2205', '2205/45=49'] Exploring Operation: 46+49=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 27, 59, 1, 13 ]
57
[ "27-1=26", "26/13=2", "59-2=57" ]
Current State: 57:[27, 59, 1, 13], Operations: [] Exploring Operation: 27-1=26, Resulting Numbers: [59, 13, 26] Generated Node #2: [59, 13, 26] from Operation: 27-1=26 Current State: 57:[59, 13, 26], Operations: ['27-1=26'] Exploring Operation: 26/13=2, Resulting Numbers: [59, 2] Generated Node #3: [59, 2] from Operation: 26/13=2 Current State: 57:[59, 2], Operations: ['27-1=26', '26/13=2'] Exploring Operation: 59-2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 20, 30, 77, 27 ]
60
[ "30-20=10", "77-27=50", "10+50=60" ]
Current State: 60:[20, 30, 77, 27], Operations: [] Exploring Operation: 30-20=10, Resulting Numbers: [77, 27, 10] Generated Node #2: [77, 27, 10] from Operation: 30-20=10 Current State: 60:[77, 27, 10], Operations: ['30-20=10'] Exploring Operation: 77-27=50, Resulting Numbers: [10, 50] Generated Node #3: [10, 50] from Operation: 77-27=50 Current State: 60:[10, 50], Operations: ['30-20=10', '77-27=50'] Exploring Operation: 10+50=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 40, 31, 37, 37 ]
18
[ "40-37=3", "37-31=6", "3*6=18" ]
Current State: 18:[40, 31, 37, 37], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [31, 3] Generated Node #2: [31, 3] from Operation: 40-37=3 Current State: 18:[31, 3], Operations: ['40-37=3'] Exploring Operation: 37-31=6, Resulting Numbers: [3, 6] Generated Node #3: [3, 6] from Operation: 37-31=6 Current State: 18:[3, 6], Operations: ['40-37=3', '37-31=6'] Exploring Operation: 3*6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 9, 98, 65, 26 ]
16
[ "9+98=107", "65+26=91", "107-91=16" ]
Current State: 16:[9, 98, 65, 26], Operations: [] Exploring Operation: 9+98=107, Resulting Numbers: [65, 26, 107] Generated Node #2: [65, 26, 107] from Operation: 9+98=107 Current State: 16:[65, 26, 107], Operations: ['9+98=107'] Exploring Operation: 65+26=91, Resulting Numbers: [107, 91] Generated Node #3: [107, 91] from Operation: 65+26=91 Current State: 16:[107, 91], Operations: ['9+98=107', '65+26=91'] Exploring Operation: 107-91=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 16, 2, 24, 25 ]
55
[ "16+24=40", "2*40=80", "80-25=55" ]
Current State: 55:[16, 2, 24, 25], Operations: [] Exploring Operation: 16+24=40, Resulting Numbers: [2, 25, 40] Generated Node #2: [2, 25, 40] from Operation: 16+24=40 Current State: 55:[2, 25, 40], Operations: ['16+24=40'] Exploring Operation: 2*40=80, Resulting Numbers: [25, 80] Generated Node #3: [25, 80] from Operation: 2*40=80 Current State: 55:[25, 80], Operations: ['16+24=40', '2*40=80'] Exploring Operation: 80-25=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 74, 2, 63, 79 ]
73
[ "79-74=5", "2*5=10", "63+10=73" ]
Current State: 73:[74, 2, 63, 79], Operations: [] Exploring Operation: 79-74=5, Resulting Numbers: [2, 63, 5] Generated Node #2: [2, 63, 5] from Operation: 79-74=5 Current State: 73:[2, 63, 5], Operations: ['79-74=5'] Exploring Operation: 2*5=10, Resulting Numbers: [63, 10] Generated Node #3: [63, 10] from Operation: 2*5=10 Current State: 73:[63, 10], Operations: ['79-74=5', '2*5=10'] Exploring Operation: 63+10=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 4, 95, 9, 37 ]
22
[ "4*9=36", "95-37=58", "58-36=22" ]
Current State: 22:[4, 95, 9, 37], Operations: [] Exploring Operation: 4*9=36, Resulting Numbers: [95, 37, 36] Generated Node #2: [95, 37, 36] from Operation: 4*9=36 Current State: 22:[95, 37, 36], Operations: ['4*9=36'] Exploring Operation: 95-37=58, Resulting Numbers: [36, 58] Generated Node #3: [36, 58] from Operation: 95-37=58 Current State: 22:[36, 58], Operations: ['4*9=36', '95-37=58'] Exploring Operation: 58-36=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 44, 67, 22, 10 ]
59
[ "44/22=2", "67-10=57", "2+57=59" ]
Current State: 59:[44, 67, 22, 10], Operations: [] Exploring Operation: 44/22=2, Resulting Numbers: [67, 10, 2] Generated Node #2: [67, 10, 2] from Operation: 44/22=2 Current State: 59:[67, 10, 2], Operations: ['44/22=2'] Exploring Operation: 67-10=57, Resulting Numbers: [2, 57] Generated Node #3: [2, 57] from Operation: 67-10=57 Current State: 59:[2, 57], Operations: ['44/22=2', '67-10=57'] Exploring Operation: 2+57=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 97, 25, 93, 95 ]
34
[ "97-95=2", "93-25=68", "68/2=34" ]
Current State: 34:[97, 25, 93, 95], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [25, 93, 2] Generated Node #2: [25, 93, 2] from Operation: 97-95=2 Current State: 34:[25, 93, 2], Operations: ['97-95=2'] Exploring Operation: 93-25=68, Resulting Numbers: [2, 68] Generated Node #3: [2, 68] from Operation: 93-25=68 Current State: 34:[2, 68], Operations: ['97-95=2', '93-25=68'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 44, 64, 23, 55 ]
52
[ "64-44=20", "55-23=32", "20+32=52" ]
Current State: 52:[44, 64, 23, 55], Operations: [] Exploring Operation: 64-44=20, Resulting Numbers: [23, 55, 20] Generated Node #2: [23, 55, 20] from Operation: 64-44=20 Current State: 52:[23, 55, 20], Operations: ['64-44=20'] Exploring Operation: 55-23=32, Resulting Numbers: [20, 32] Generated Node #3: [20, 32] from Operation: 55-23=32 Current State: 52:[20, 32], Operations: ['64-44=20', '55-23=32'] Exploring Operation: 20+32=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 72, 34, 14, 70 ]
94
[ "72-34=38", "70-14=56", "38+56=94" ]
Current State: 94:[72, 34, 14, 70], Operations: [] Exploring Operation: 72-34=38, Resulting Numbers: [14, 70, 38] Generated Node #2: [14, 70, 38] from Operation: 72-34=38 Current State: 94:[14, 70, 38], Operations: ['72-34=38'] Exploring Operation: 70-14=56, Resulting Numbers: [38, 56] Generated Node #3: [38, 56] from Operation: 70-14=56 Current State: 94:[38, 56], Operations: ['72-34=38', '70-14=56'] Exploring Operation: 38+56=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 18, 35, 6, 43 ]
31
[ "35+43=78", "78/6=13", "18+13=31" ]
Current State: 31:[18, 35, 6, 43], Operations: [] Exploring Operation: 35+43=78, Resulting Numbers: [18, 6, 78] Generated Node #2: [18, 6, 78] from Operation: 35+43=78 Current State: 31:[18, 6, 78], Operations: ['35+43=78'] Exploring Operation: 78/6=13, Resulting Numbers: [18, 13] Generated Node #3: [18, 13] from Operation: 78/6=13 Current State: 31:[18, 13], Operations: ['35+43=78', '78/6=13'] Exploring Operation: 18+13=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 21, 72, 4, 24 ]
72
[ "21+4=25", "25-24=1", "72*1=72" ]
Current State: 72:[21, 72, 4, 24], Operations: [] Exploring Operation: 21+4=25, Resulting Numbers: [72, 24, 25] Generated Node #2: [72, 24, 25] from Operation: 21+4=25 Current State: 72:[72, 24, 25], Operations: ['21+4=25'] Exploring Operation: 25-24=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 25-24=1 Current State: 72:[72, 1], Operations: ['21+4=25', '25-24=1'] Exploring Operation: 72*1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 57, 6, 95, 26 ]
21
[ "57+95=152", "152-26=126", "126/6=21" ]
Current State: 21:[57, 6, 95, 26], Operations: [] Exploring Operation: 57+95=152, Resulting Numbers: [6, 26, 152] Generated Node #2: [6, 26, 152] from Operation: 57+95=152 Current State: 21:[6, 26, 152], Operations: ['57+95=152'] Exploring Operation: 152-26=126, Resulting Numbers: [6, 126] Generated Node #3: [6, 126] from Operation: 152-26=126 Current State: 21:[6, 126], Operations: ['57+95=152', '152-26=126'] Exploring Operation: 126/6=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 37, 39, 29, 88 ]
17
[ "37+39=76", "88-29=59", "76-59=17" ]
Current State: 17:[37, 39, 29, 88], Operations: [] Exploring Operation: 37+39=76, Resulting Numbers: [29, 88, 76] Generated Node #2: [29, 88, 76] from Operation: 37+39=76 Current State: 17:[29, 88, 76], Operations: ['37+39=76'] Exploring Operation: 88-29=59, Resulting Numbers: [76, 59] Generated Node #3: [76, 59] from Operation: 88-29=59 Current State: 17:[76, 59], Operations: ['37+39=76', '88-29=59'] Exploring Operation: 76-59=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 6, 80, 96, 6 ]
17
[ "6/6=1", "96-80=16", "1+16=17" ]
Current State: 17:[6, 80, 96, 6], Operations: [] Exploring Operation: 6/6=1, Resulting Numbers: [80, 96, 1] Generated Node #2: [80, 96, 1] from Operation: 6/6=1 Current State: 17:[80, 96, 1], Operations: ['6/6=1'] Exploring Operation: 96-80=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 96-80=16 Current State: 17:[1, 16], Operations: ['6/6=1', '96-80=16'] Exploring Operation: 1+16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 22, 15, 81, 45 ]
18
[ "22-15=7", "81+45=126", "126/7=18" ]
Current State: 18:[22, 15, 81, 45], Operations: [] Exploring Operation: 22-15=7, Resulting Numbers: [81, 45, 7] Generated Node #2: [81, 45, 7] from Operation: 22-15=7 Current State: 18:[81, 45, 7], Operations: ['22-15=7'] Exploring Operation: 81+45=126, Resulting Numbers: [7, 126] Generated Node #3: [7, 126] from Operation: 81+45=126 Current State: 18:[7, 126], Operations: ['22-15=7', '81+45=126'] Exploring Operation: 126/7=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 50, 78, 27, 20 ]
19
[ "78-50=28", "27+20=47", "47-28=19" ]
Current State: 19:[50, 78, 27, 20], Operations: [] Exploring Operation: 78-50=28, Resulting Numbers: [27, 20, 28] Generated Node #2: [27, 20, 28] from Operation: 78-50=28 Current State: 19:[27, 20, 28], Operations: ['78-50=28'] Exploring Operation: 27+20=47, Resulting Numbers: [28, 47] Generated Node #3: [28, 47] from Operation: 27+20=47 Current State: 19:[28, 47], Operations: ['78-50=28', '27+20=47'] Exploring Operation: 47-28=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 7, 29, 88, 71 ]
94
[ "71-29=42", "42/7=6", "88+6=94" ]
Current State: 94:[7, 29, 88, 71], Operations: [] Exploring Operation: 71-29=42, Resulting Numbers: [7, 88, 42] Generated Node #2: [7, 88, 42] from Operation: 71-29=42 Current State: 94:[7, 88, 42], Operations: ['71-29=42'] Exploring Operation: 42/7=6, Resulting Numbers: [88, 6] Generated Node #3: [88, 6] from Operation: 42/7=6 Current State: 94:[88, 6], Operations: ['71-29=42', '42/7=6'] Exploring Operation: 88+6=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 79, 9, 16, 76 ]
19
[ "79+16=95", "76+95=171", "171/9=19" ]
Current State: 19:[79, 9, 16, 76], Operations: [] Exploring Operation: 79+16=95, Resulting Numbers: [9, 76, 95] Generated Node #2: [9, 76, 95] from Operation: 79+16=95 Current State: 19:[9, 76, 95], Operations: ['79+16=95'] Exploring Operation: 76+95=171, Resulting Numbers: [9, 171] Generated Node #3: [9, 171] from Operation: 76+95=171 Current State: 19:[9, 171], Operations: ['79+16=95', '76+95=171'] Exploring Operation: 171/9=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 8, 17, 35, 51 ]
81
[ "35-8=27", "51/17=3", "27*3=81" ]
Current State: 81:[8, 17, 35, 51], Operations: [] Exploring Operation: 35-8=27, Resulting Numbers: [17, 51, 27] Generated Node #2: [17, 51, 27] from Operation: 35-8=27 Current State: 81:[17, 51, 27], Operations: ['35-8=27'] Exploring Operation: 51/17=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 51/17=3 Current State: 81:[27, 3], Operations: ['35-8=27', '51/17=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 71, 3, 25, 94 ]
44
[ "71-25=46", "3*46=138", "138-94=44" ]
Current State: 44:[71, 3, 25, 94], Operations: [] Exploring Operation: 71-25=46, Resulting Numbers: [3, 94, 46] Generated Node #2: [3, 94, 46] from Operation: 71-25=46 Current State: 44:[3, 94, 46], Operations: ['71-25=46'] Exploring Operation: 3*46=138, Resulting Numbers: [94, 138] Generated Node #3: [94, 138] from Operation: 3*46=138 Current State: 44:[94, 138], Operations: ['71-25=46', '3*46=138'] Exploring Operation: 138-94=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 2, 7, 98, 67 ]
68
[ "67-7=60", "60/2=30", "98-30=68" ]
Current State: 68:[2, 7, 98, 67], Operations: [] Exploring Operation: 67-7=60, Resulting Numbers: [2, 98, 60] Generated Node #2: [2, 98, 60] from Operation: 67-7=60 Current State: 68:[2, 98, 60], Operations: ['67-7=60'] Exploring Operation: 60/2=30, Resulting Numbers: [98, 30] Generated Node #3: [98, 30] from Operation: 60/2=30 Current State: 68:[98, 30], Operations: ['67-7=60', '60/2=30'] Exploring Operation: 98-30=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 66, 98, 15, 1 ]
73
[ "15-1=14", "98/14=7", "66+7=73" ]
Current State: 73:[66, 98, 15, 1], Operations: [] Exploring Operation: 15-1=14, Resulting Numbers: [66, 98, 14] Generated Node #2: [66, 98, 14] from Operation: 15-1=14 Current State: 73:[66, 98, 14], Operations: ['15-1=14'] Exploring Operation: 98/14=7, Resulting Numbers: [66, 7] Generated Node #3: [66, 7] from Operation: 98/14=7 Current State: 73:[66, 7], Operations: ['15-1=14', '98/14=7'] Exploring Operation: 66+7=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 24, 9, 6, 93 ]
57
[ "24*9=216", "216/6=36", "93-36=57" ]
Current State: 57:[24, 9, 6, 93], Operations: [] Exploring Operation: 24*9=216, Resulting Numbers: [6, 93, 216] Generated Node #2: [6, 93, 216] from Operation: 24*9=216 Current State: 57:[6, 93, 216], Operations: ['24*9=216'] Exploring Operation: 216/6=36, Resulting Numbers: [93, 36] Generated Node #3: [93, 36] from Operation: 216/6=36 Current State: 57:[93, 36], Operations: ['24*9=216', '216/6=36'] Exploring Operation: 93-36=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 13, 12, 27, 33 ]
36
[ "12+27=39", "39/13=3", "33+3=36" ]
Current State: 36:[13, 12, 27, 33], Operations: [] Exploring Operation: 12+27=39, Resulting Numbers: [13, 33, 39] Generated Node #2: [13, 33, 39] from Operation: 12+27=39 Current State: 36:[13, 33, 39], Operations: ['12+27=39'] Exploring Operation: 39/13=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 39/13=3 Current State: 36:[33, 3], Operations: ['12+27=39', '39/13=3'] Exploring Operation: 33+3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 21, 94, 16, 79 ]
75
[ "21-16=5", "94-79=15", "5*15=75" ]
Current State: 75:[21, 94, 16, 79], Operations: [] Exploring Operation: 21-16=5, Resulting Numbers: [94, 79, 5] Generated Node #2: [94, 79, 5] from Operation: 21-16=5 Current State: 75:[94, 79, 5], Operations: ['21-16=5'] Exploring Operation: 94-79=15, Resulting Numbers: [5, 15] Generated Node #3: [5, 15] from Operation: 94-79=15 Current State: 75:[5, 15], Operations: ['21-16=5', '94-79=15'] Exploring Operation: 5*15=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 84, 28, 7, 86 ]
23
[ "84-28=56", "86-7=79", "79-56=23" ]
Current State: 23:[84, 28, 7, 86], Operations: [] Exploring Operation: 84-28=56, Resulting Numbers: [7, 86, 56] Generated Node #2: [7, 86, 56] from Operation: 84-28=56 Current State: 23:[7, 86, 56], Operations: ['84-28=56'] Exploring Operation: 86-7=79, Resulting Numbers: [56, 79] Generated Node #3: [56, 79] from Operation: 86-7=79 Current State: 23:[56, 79], Operations: ['84-28=56', '86-7=79'] Exploring Operation: 79-56=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 73, 78, 39, 97 ]
63
[ "78-73=5", "97-39=58", "5+58=63" ]
Current State: 63:[73, 78, 39, 97], Operations: [] Exploring Operation: 78-73=5, Resulting Numbers: [39, 97, 5] Generated Node #2: [39, 97, 5] from Operation: 78-73=5 Current State: 63:[39, 97, 5], Operations: ['78-73=5'] Exploring Operation: 97-39=58, Resulting Numbers: [5, 58] Generated Node #3: [5, 58] from Operation: 97-39=58 Current State: 63:[5, 58], Operations: ['78-73=5', '97-39=58'] Exploring Operation: 5+58=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 65, 58, 20, 46 ]
27
[ "65*20=1300", "1300-58=1242", "1242/46=27" ]
Current State: 27:[65, 58, 20, 46], Operations: [] Exploring Operation: 65*20=1300, Resulting Numbers: [58, 46, 1300] Generated Node #2: [58, 46, 1300] from Operation: 65*20=1300 Current State: 27:[58, 46, 1300], Operations: ['65*20=1300'] Exploring Operation: 1300-58=1242, Resulting Numbers: [46, 1242] Generated Node #3: [46, 1242] from Operation: 1300-58=1242 Current State: 27:[46, 1242], Operations: ['65*20=1300', '1300-58=1242'] Exploring Operation: 1242/46=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 4, 78, 52, 80 ]
85
[ "80-52=28", "28/4=7", "78+7=85" ]
Current State: 85:[4, 78, 52, 80], Operations: [] Exploring Operation: 80-52=28, Resulting Numbers: [4, 78, 28] Generated Node #2: [4, 78, 28] from Operation: 80-52=28 Current State: 85:[4, 78, 28], Operations: ['80-52=28'] Exploring Operation: 28/4=7, Resulting Numbers: [78, 7] Generated Node #3: [78, 7] from Operation: 28/4=7 Current State: 85:[78, 7], Operations: ['80-52=28', '28/4=7'] Exploring Operation: 78+7=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 87, 9, 71, 89 ]
85
[ "89-71=18", "18/9=2", "87-2=85" ]
Current State: 85:[87, 9, 71, 89], Operations: [] Exploring Operation: 89-71=18, Resulting Numbers: [87, 9, 18] Generated Node #2: [87, 9, 18] from Operation: 89-71=18 Current State: 85:[87, 9, 18], Operations: ['89-71=18'] Exploring Operation: 18/9=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 18/9=2 Current State: 85:[87, 2], Operations: ['89-71=18', '18/9=2'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 74, 2, 14, 8 ]
82
[ "74+2=76", "14-8=6", "76+6=82" ]
Current State: 82:[74, 2, 14, 8], Operations: [] Exploring Operation: 74+2=76, Resulting Numbers: [14, 8, 76] Generated Node #2: [14, 8, 76] from Operation: 74+2=76 Current State: 82:[14, 8, 76], Operations: ['74+2=76'] Exploring Operation: 14-8=6, Resulting Numbers: [76, 6] Generated Node #3: [76, 6] from Operation: 14-8=6 Current State: 82:[76, 6], Operations: ['74+2=76', '14-8=6'] Exploring Operation: 76+6=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 1, 90, 79, 77 ]
92
[ "1*90=90", "79-77=2", "90+2=92" ]
Current State: 92:[1, 90, 79, 77], Operations: [] Exploring Operation: 1*90=90, Resulting Numbers: [79, 77, 90] Generated Node #2: [79, 77, 90] from Operation: 1*90=90 Current State: 92:[79, 77, 90], Operations: ['1*90=90'] Exploring Operation: 79-77=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 79-77=2 Current State: 92:[90, 2], Operations: ['1*90=90', '79-77=2'] Exploring Operation: 90+2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 79, 65, 92, 17 ]
56
[ "79*65=5135", "17+5135=5152", "5152/92=56" ]
Current State: 56:[79, 65, 92, 17], Operations: [] Exploring Operation: 79*65=5135, Resulting Numbers: [92, 17, 5135] Generated Node #2: [92, 17, 5135] from Operation: 79*65=5135 Current State: 56:[92, 17, 5135], Operations: ['79*65=5135'] Exploring Operation: 17+5135=5152, Resulting Numbers: [92, 5152] Generated Node #3: [92, 5152] from Operation: 17+5135=5152 Current State: 56:[92, 5152], Operations: ['79*65=5135', '17+5135=5152'] Exploring Operation: 5152/92=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 18, 54, 41, 1 ]
76
[ "54-18=36", "41-1=40", "36+40=76" ]
Current State: 76:[18, 54, 41, 1], Operations: [] Exploring Operation: 54-18=36, Resulting Numbers: [41, 1, 36] Generated Node #2: [41, 1, 36] from Operation: 54-18=36 Current State: 76:[41, 1, 36], Operations: ['54-18=36'] Exploring Operation: 41-1=40, Resulting Numbers: [36, 40] Generated Node #3: [36, 40] from Operation: 41-1=40 Current State: 76:[36, 40], Operations: ['54-18=36', '41-1=40'] Exploring Operation: 36+40=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 7, 14, 81, 1 ]
78
[ "14/7=2", "81-1=80", "80-2=78" ]
Current State: 78:[7, 14, 81, 1], Operations: [] Exploring Operation: 14/7=2, Resulting Numbers: [81, 1, 2] Generated Node #2: [81, 1, 2] from Operation: 14/7=2 Current State: 78:[81, 1, 2], Operations: ['14/7=2'] Exploring Operation: 81-1=80, Resulting Numbers: [2, 80] Generated Node #3: [2, 80] from Operation: 81-1=80 Current State: 78:[2, 80], Operations: ['14/7=2', '81-1=80'] Exploring Operation: 80-2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 4, 5, 26, 71 ]
77
[ "4*5=20", "26+71=97", "97-20=77" ]
Current State: 77:[4, 5, 26, 71], Operations: [] Exploring Operation: 4*5=20, Resulting Numbers: [26, 71, 20] Generated Node #2: [26, 71, 20] from Operation: 4*5=20 Current State: 77:[26, 71, 20], Operations: ['4*5=20'] Exploring Operation: 26+71=97, Resulting Numbers: [20, 97] Generated Node #3: [20, 97] from Operation: 26+71=97 Current State: 77:[20, 97], Operations: ['4*5=20', '26+71=97'] Exploring Operation: 97-20=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 87, 38, 49, 24 ]
74
[ "87-38=49", "49-24=25", "49+25=74" ]
Current State: 74:[87, 38, 49, 24], Operations: [] Exploring Operation: 87-38=49, Resulting Numbers: [49, 24, 49] Generated Node #2: [49, 24, 49] from Operation: 87-38=49 Current State: 74:[49, 24, 49], Operations: ['87-38=49'] Exploring Operation: 49-24=25, Resulting Numbers: [25] 25,74 equal: Goal Reached Exploring Operation: 49+25=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 14, 48, 8, 31 ]
85
[ "14+48=62", "31-8=23", "62+23=85" ]
Current State: 85:[14, 48, 8, 31], Operations: [] Exploring Operation: 14+48=62, Resulting Numbers: [8, 31, 62] Generated Node #2: [8, 31, 62] from Operation: 14+48=62 Current State: 85:[8, 31, 62], Operations: ['14+48=62'] Exploring Operation: 31-8=23, Resulting Numbers: [62, 23] Generated Node #3: [62, 23] from Operation: 31-8=23 Current State: 85:[62, 23], Operations: ['14+48=62', '31-8=23'] Exploring Operation: 62+23=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 9, 99, 28, 40 ]
40
[ "9+99=108", "28+40=68", "108-68=40" ]
Current State: 40:[9, 99, 28, 40], Operations: [] Exploring Operation: 9+99=108, Resulting Numbers: [28, 40, 108] Generated Node #2: [28, 40, 108] from Operation: 9+99=108 Current State: 40:[28, 40, 108], Operations: ['9+99=108'] Exploring Operation: 28+40=68, Resulting Numbers: [108, 68] Generated Node #3: [108, 68] from Operation: 28+40=68 Current State: 40:[108, 68], Operations: ['9+99=108', '28+40=68'] Exploring Operation: 108-68=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 26, 2, 58, 80 ]
70
[ "80-58=22", "2*22=44", "26+44=70" ]
Current State: 70:[26, 2, 58, 80], Operations: [] Exploring Operation: 80-58=22, Resulting Numbers: [26, 2, 22] Generated Node #2: [26, 2, 22] from Operation: 80-58=22 Current State: 70:[26, 2, 22], Operations: ['80-58=22'] Exploring Operation: 2*22=44, Resulting Numbers: [26, 44] Generated Node #3: [26, 44] from Operation: 2*22=44 Current State: 70:[26, 44], Operations: ['80-58=22', '2*22=44'] Exploring Operation: 26+44=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 69, 65, 2, 47 ]
53
[ "69-65=4", "2+47=49", "4+49=53" ]
Current State: 53:[69, 65, 2, 47], Operations: [] Exploring Operation: 69-65=4, Resulting Numbers: [2, 47, 4] Generated Node #2: [2, 47, 4] from Operation: 69-65=4 Current State: 53:[2, 47, 4], Operations: ['69-65=4'] Exploring Operation: 2+47=49, Resulting Numbers: [4, 49] Generated Node #3: [4, 49] from Operation: 2+47=49 Current State: 53:[4, 49], Operations: ['69-65=4', '2+47=49'] Exploring Operation: 4+49=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 27, 51, 81, 40 ]
33
[ "81/27=3", "51-40=11", "3*11=33" ]
Current State: 33:[27, 51, 81, 40], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [51, 40, 3] Generated Node #2: [51, 40, 3] from Operation: 81/27=3 Current State: 33:[51, 40, 3], Operations: ['81/27=3'] Exploring Operation: 51-40=11, Resulting Numbers: [3, 11] Generated Node #3: [3, 11] from Operation: 51-40=11 Current State: 33:[3, 11], Operations: ['81/27=3', '51-40=11'] Exploring Operation: 3*11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 76, 94, 7, 23 ]
97
[ "76-7=69", "69/23=3", "94+3=97" ]
Current State: 97:[76, 94, 7, 23], Operations: [] Exploring Operation: 76-7=69, Resulting Numbers: [94, 23, 69] Generated Node #2: [94, 23, 69] from Operation: 76-7=69 Current State: 97:[94, 23, 69], Operations: ['76-7=69'] Exploring Operation: 69/23=3, Resulting Numbers: [94, 3] Generated Node #3: [94, 3] from Operation: 69/23=3 Current State: 97:[94, 3], Operations: ['76-7=69', '69/23=3'] Exploring Operation: 94+3=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 10, 41, 62, 55 ]
24
[ "41-10=31", "62-55=7", "31-7=24" ]
Current State: 24:[10, 41, 62, 55], Operations: [] Exploring Operation: 41-10=31, Resulting Numbers: [62, 55, 31] Generated Node #2: [62, 55, 31] from Operation: 41-10=31 Current State: 24:[62, 55, 31], Operations: ['41-10=31'] Exploring Operation: 62-55=7, Resulting Numbers: [31, 7] Generated Node #3: [31, 7] from Operation: 62-55=7 Current State: 24:[31, 7], Operations: ['41-10=31', '62-55=7'] Exploring Operation: 31-7=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 86, 54, 6, 11 ]
15
[ "86-54=32", "6+11=17", "32-17=15" ]
Current State: 15:[86, 54, 6, 11], Operations: [] Exploring Operation: 86-54=32, Resulting Numbers: [6, 11, 32] Generated Node #2: [6, 11, 32] from Operation: 86-54=32 Current State: 15:[6, 11, 32], Operations: ['86-54=32'] Exploring Operation: 6+11=17, Resulting Numbers: [32, 17] Generated Node #3: [32, 17] from Operation: 6+11=17 Current State: 15:[32, 17], Operations: ['86-54=32', '6+11=17'] Exploring Operation: 32-17=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 34, 90, 95, 80 ]
50
[ "95-90=5", "80/5=16", "34+16=50" ]
Current State: 50:[34, 90, 95, 80], Operations: [] Exploring Operation: 95-90=5, Resulting Numbers: [34, 80, 5] Generated Node #2: [34, 80, 5] from Operation: 95-90=5 Current State: 50:[34, 80, 5], Operations: ['95-90=5'] Exploring Operation: 80/5=16, Resulting Numbers: [34, 16] Generated Node #3: [34, 16] from Operation: 80/5=16 Current State: 50:[34, 16], Operations: ['95-90=5', '80/5=16'] Exploring Operation: 34+16=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 29, 30, 58, 27 ]
26
[ "29+30=59", "58+27=85", "85-59=26" ]
Current State: 26:[29, 30, 58, 27], Operations: [] Exploring Operation: 29+30=59, Resulting Numbers: [58, 27, 59] Generated Node #2: [58, 27, 59] from Operation: 29+30=59 Current State: 26:[58, 27, 59], Operations: ['29+30=59'] Exploring Operation: 58+27=85, Resulting Numbers: [59, 85] Generated Node #3: [59, 85] from Operation: 58+27=85 Current State: 26:[59, 85], Operations: ['29+30=59', '58+27=85'] Exploring Operation: 85-59=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 34, 3, 56, 11 ]
30
[ "34+3=37", "56+11=67", "67-37=30" ]
Current State: 30:[34, 3, 56, 11], Operations: [] Exploring Operation: 34+3=37, Resulting Numbers: [56, 11, 37] Generated Node #2: [56, 11, 37] from Operation: 34+3=37 Current State: 30:[56, 11, 37], Operations: ['34+3=37'] Exploring Operation: 56+11=67, Resulting Numbers: [37, 67] Generated Node #3: [37, 67] from Operation: 56+11=67 Current State: 30:[37, 67], Operations: ['34+3=37', '56+11=67'] Exploring Operation: 67-37=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 98, 49, 29, 33 ]
13
[ "98-49=49", "29+33=62", "62-49=13" ]
Current State: 13:[98, 49, 29, 33], Operations: [] Exploring Operation: 98-49=49, Resulting Numbers: [29, 33, 49] Generated Node #2: [29, 33, 49] from Operation: 98-49=49 Current State: 13:[29, 33, 49], Operations: ['98-49=49'] Exploring Operation: 29+33=62, Resulting Numbers: [49, 62] Generated Node #3: [49, 62] from Operation: 29+33=62 Current State: 13:[49, 62], Operations: ['98-49=49', '29+33=62'] Exploring Operation: 62-49=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 75, 62, 80, 73 ]
22
[ "75-73=2", "80/2=40", "62-40=22" ]
Current State: 22:[75, 62, 80, 73], Operations: [] Exploring Operation: 75-73=2, Resulting Numbers: [62, 80, 2] Generated Node #2: [62, 80, 2] from Operation: 75-73=2 Current State: 22:[62, 80, 2], Operations: ['75-73=2'] Exploring Operation: 80/2=40, Resulting Numbers: [62, 40] Generated Node #3: [62, 40] from Operation: 80/2=40 Current State: 22:[62, 40], Operations: ['75-73=2', '80/2=40'] Exploring Operation: 62-40=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 96, 23, 36, 78 ]
31
[ "96-23=73", "78-36=42", "73-42=31" ]
Current State: 31:[96, 23, 36, 78], Operations: [] Exploring Operation: 96-23=73, Resulting Numbers: [36, 78, 73] Generated Node #2: [36, 78, 73] from Operation: 96-23=73 Current State: 31:[36, 78, 73], Operations: ['96-23=73'] Exploring Operation: 78-36=42, Resulting Numbers: [73, 42] Generated Node #3: [73, 42] from Operation: 78-36=42 Current State: 31:[73, 42], Operations: ['96-23=73', '78-36=42'] Exploring Operation: 73-42=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 86, 13, 87, 12 ]
99
[ "86*12=1032", "13*87=1131", "1131-1032=99" ]
Current State: 99:[86, 13, 87, 12], Operations: [] Exploring Operation: 86*12=1032, Resulting Numbers: [13, 87, 1032] Generated Node #2: [13, 87, 1032] from Operation: 86*12=1032 Current State: 99:[13, 87, 1032], Operations: ['86*12=1032'] Exploring Operation: 13*87=1131, Resulting Numbers: [1032, 1131] Generated Node #3: [1032, 1131] from Operation: 13*87=1131 Current State: 99:[1032, 1131], Operations: ['86*12=1032', '13*87=1131'] Exploring Operation: 1131-1032=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 59, 68, 2, 11 ]
69
[ "59+68=127", "11+127=138", "138/2=69" ]
Current State: 69:[59, 68, 2, 11], Operations: [] Exploring Operation: 59+68=127, Resulting Numbers: [2, 11, 127] Generated Node #2: [2, 11, 127] from Operation: 59+68=127 Current State: 69:[2, 11, 127], Operations: ['59+68=127'] Exploring Operation: 11+127=138, Resulting Numbers: [2, 138] Generated Node #3: [2, 138] from Operation: 11+127=138 Current State: 69:[2, 138], Operations: ['59+68=127', '11+127=138'] Exploring Operation: 138/2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 19, 76, 72, 65 ]
47
[ "76/19=4", "72/4=18", "65-18=47" ]
Current State: 47:[19, 76, 72, 65], Operations: [] Exploring Operation: 76/19=4, Resulting Numbers: [72, 65, 4] Generated Node #2: [72, 65, 4] from Operation: 76/19=4 Current State: 47:[72, 65, 4], Operations: ['76/19=4'] Exploring Operation: 72/4=18, Resulting Numbers: [65, 18] Generated Node #3: [65, 18] from Operation: 72/4=18 Current State: 47:[65, 18], Operations: ['76/19=4', '72/4=18'] Exploring Operation: 65-18=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 24, 19, 31, 17 ]
86
[ "19-17=2", "31*2=62", "24+62=86" ]
Current State: 86:[24, 19, 31, 17], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [24, 31, 2] Generated Node #2: [24, 31, 2] from Operation: 19-17=2 Current State: 86:[24, 31, 2], Operations: ['19-17=2'] Exploring Operation: 31*2=62, Resulting Numbers: [24, 62] Generated Node #3: [24, 62] from Operation: 31*2=62 Current State: 86:[24, 62], Operations: ['19-17=2', '31*2=62'] Exploring Operation: 24+62=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 20, 98, 20, 2 ]
19
[ "98-20=78", "78/2=39", "39-20=19" ]
Current State: 19:[20, 98, 20, 2], Operations: [] Exploring Operation: 98-20=78, Resulting Numbers: [2, 78] Generated Node #2: [2, 78] from Operation: 98-20=78 Current State: 19:[2, 78], Operations: ['98-20=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,19 equal: Goal Reached Exploring Operation: 39-20=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 2, 11, 65, 53 ]
63
[ "11+53=64", "2*64=128", "128-65=63" ]
Current State: 63:[2, 11, 65, 53], Operations: [] Exploring Operation: 11+53=64, Resulting Numbers: [2, 65, 64] Generated Node #2: [2, 65, 64] from Operation: 11+53=64 Current State: 63:[2, 65, 64], Operations: ['11+53=64'] Exploring Operation: 2*64=128, Resulting Numbers: [65, 128] Generated Node #3: [65, 128] from Operation: 2*64=128 Current State: 63:[65, 128], Operations: ['11+53=64', '2*64=128'] Exploring Operation: 128-65=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 7, 58, 7, 83 ]
92
[ "7*7=49", "58+83=141", "141-49=92" ]
Current State: 92:[7, 58, 7, 83], Operations: [] Exploring Operation: 7*7=49, Resulting Numbers: [58, 83, 49] Generated Node #2: [58, 83, 49] from Operation: 7*7=49 Current State: 92:[58, 83, 49], Operations: ['7*7=49'] Exploring Operation: 58+83=141, Resulting Numbers: [49, 141] Generated Node #3: [49, 141] from Operation: 58+83=141 Current State: 92:[49, 141], Operations: ['7*7=49', '58+83=141'] Exploring Operation: 141-49=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 81, 33, 55, 36 ]
82
[ "36-33=3", "81/3=27", "55+27=82" ]
Current State: 82:[81, 33, 55, 36], Operations: [] Exploring Operation: 36-33=3, Resulting Numbers: [81, 55, 3] Generated Node #2: [81, 55, 3] from Operation: 36-33=3 Current State: 82:[81, 55, 3], Operations: ['36-33=3'] Exploring Operation: 81/3=27, Resulting Numbers: [55, 27] Generated Node #3: [55, 27] from Operation: 81/3=27 Current State: 82:[55, 27], Operations: ['36-33=3', '81/3=27'] Exploring Operation: 55+27=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 59, 23, 84, 33 ]
21
[ "59+33=92", "23*84=1932", "1932/92=21" ]
Current State: 21:[59, 23, 84, 33], Operations: [] Exploring Operation: 59+33=92, Resulting Numbers: [23, 84, 92] Generated Node #2: [23, 84, 92] from Operation: 59+33=92 Current State: 21:[23, 84, 92], Operations: ['59+33=92'] Exploring Operation: 23*84=1932, Resulting Numbers: [92, 1932] Generated Node #3: [92, 1932] from Operation: 23*84=1932 Current State: 21:[92, 1932], Operations: ['59+33=92', '23*84=1932'] Exploring Operation: 1932/92=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 13, 85, 73, 86 ]
61
[ "13+85=98", "73+86=159", "159-98=61" ]
Current State: 61:[13, 85, 73, 86], Operations: [] Exploring Operation: 13+85=98, Resulting Numbers: [73, 86, 98] Generated Node #2: [73, 86, 98] from Operation: 13+85=98 Current State: 61:[73, 86, 98], Operations: ['13+85=98'] Exploring Operation: 73+86=159, Resulting Numbers: [98, 159] Generated Node #3: [98, 159] from Operation: 73+86=159 Current State: 61:[98, 159], Operations: ['13+85=98', '73+86=159'] Exploring Operation: 159-98=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 12, 14, 4, 7 ]
94
[ "12*7=84", "14-4=10", "84+10=94" ]
Current State: 94:[12, 14, 4, 7], Operations: [] Exploring Operation: 12*7=84, Resulting Numbers: [14, 4, 84] Generated Node #2: [14, 4, 84] from Operation: 12*7=84 Current State: 94:[14, 4, 84], Operations: ['12*7=84'] Exploring Operation: 14-4=10, Resulting Numbers: [84, 10] Generated Node #3: [84, 10] from Operation: 14-4=10 Current State: 94:[84, 10], Operations: ['12*7=84', '14-4=10'] Exploring Operation: 84+10=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 5, 25, 26, 3 ]
16
[ "5+25=30", "30/3=10", "26-10=16" ]
Current State: 16:[5, 25, 26, 3], Operations: [] Exploring Operation: 5+25=30, Resulting Numbers: [26, 3, 30] Generated Node #2: [26, 3, 30] from Operation: 5+25=30 Current State: 16:[26, 3, 30], Operations: ['5+25=30'] Exploring Operation: 30/3=10, Resulting Numbers: [26, 10] Generated Node #3: [26, 10] from Operation: 30/3=10 Current State: 16:[26, 10], Operations: ['5+25=30', '30/3=10'] Exploring Operation: 26-10=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 55, 34, 57, 19 ]
63
[ "55-34=21", "57/19=3", "21*3=63" ]
Current State: 63:[55, 34, 57, 19], Operations: [] Exploring Operation: 55-34=21, Resulting Numbers: [57, 19, 21] Generated Node #2: [57, 19, 21] from Operation: 55-34=21 Current State: 63:[57, 19, 21], Operations: ['55-34=21'] Exploring Operation: 57/19=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 57/19=3 Current State: 63:[21, 3], Operations: ['55-34=21', '57/19=3'] Exploring Operation: 21*3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 66, 54, 13, 6 ]
59
[ "66-54=12", "6*12=72", "72-13=59" ]
Current State: 59:[66, 54, 13, 6], Operations: [] Exploring Operation: 66-54=12, Resulting Numbers: [13, 6, 12] Generated Node #2: [13, 6, 12] from Operation: 66-54=12 Current State: 59:[13, 6, 12], Operations: ['66-54=12'] Exploring Operation: 6*12=72, Resulting Numbers: [13, 72] Generated Node #3: [13, 72] from Operation: 6*12=72 Current State: 59:[13, 72], Operations: ['66-54=12', '6*12=72'] Exploring Operation: 72-13=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 55, 47, 52, 35 ]
79
[ "55-47=8", "52+35=87", "87-8=79" ]
Current State: 79:[55, 47, 52, 35], Operations: [] Exploring Operation: 55-47=8, Resulting Numbers: [52, 35, 8] Generated Node #2: [52, 35, 8] from Operation: 55-47=8 Current State: 79:[52, 35, 8], Operations: ['55-47=8'] Exploring Operation: 52+35=87, Resulting Numbers: [8, 87] Generated Node #3: [8, 87] from Operation: 52+35=87 Current State: 79:[8, 87], Operations: ['55-47=8', '52+35=87'] Exploring Operation: 87-8=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 66, 20, 87, 77 ]
64
[ "87-77=10", "20/10=2", "66-2=64" ]
Current State: 64:[66, 20, 87, 77], Operations: [] Exploring Operation: 87-77=10, Resulting Numbers: [66, 20, 10] Generated Node #2: [66, 20, 10] from Operation: 87-77=10 Current State: 64:[66, 20, 10], Operations: ['87-77=10'] Exploring Operation: 20/10=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 20/10=2 Current State: 64:[66, 2], Operations: ['87-77=10', '20/10=2'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 30, 66, 49, 10 ]
20
[ "30/10=3", "66-49=17", "3+17=20" ]
Current State: 20:[30, 66, 49, 10], Operations: [] Exploring Operation: 30/10=3, Resulting Numbers: [66, 49, 3] Generated Node #2: [66, 49, 3] from Operation: 30/10=3 Current State: 20:[66, 49, 3], Operations: ['30/10=3'] Exploring Operation: 66-49=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 66-49=17 Current State: 20:[3, 17], Operations: ['30/10=3', '66-49=17'] Exploring Operation: 3+17=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 34, 43, 26, 17 ]
71
[ "34/17=2", "43+26=69", "2+69=71" ]
Current State: 71:[34, 43, 26, 17], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [43, 26, 2] Generated Node #2: [43, 26, 2] from Operation: 34/17=2 Current State: 71:[43, 26, 2], Operations: ['34/17=2'] Exploring Operation: 43+26=69, Resulting Numbers: [2, 69] Generated Node #3: [2, 69] from Operation: 43+26=69 Current State: 71:[2, 69], Operations: ['34/17=2', '43+26=69'] Exploring Operation: 2+69=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 55, 98, 93, 83 ]
94
[ "98-93=5", "55/5=11", "83+11=94" ]
Current State: 94:[55, 98, 93, 83], Operations: [] Exploring Operation: 98-93=5, Resulting Numbers: [55, 83, 5] Generated Node #2: [55, 83, 5] from Operation: 98-93=5 Current State: 94:[55, 83, 5], Operations: ['98-93=5'] Exploring Operation: 55/5=11, Resulting Numbers: [83, 11] Generated Node #3: [83, 11] from Operation: 55/5=11 Current State: 94:[83, 11], Operations: ['98-93=5', '55/5=11'] Exploring Operation: 83+11=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 1, 42, 34, 21 ]
30
[ "1+42=43", "34-21=13", "43-13=30" ]
Current State: 30:[1, 42, 34, 21], Operations: [] Exploring Operation: 1+42=43, Resulting Numbers: [34, 21, 43] Generated Node #2: [34, 21, 43] from Operation: 1+42=43 Current State: 30:[34, 21, 43], Operations: ['1+42=43'] Exploring Operation: 34-21=13, Resulting Numbers: [43, 13] Generated Node #3: [43, 13] from Operation: 34-21=13 Current State: 30:[43, 13], Operations: ['1+42=43', '34-21=13'] Exploring Operation: 43-13=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 5, 43, 13, 39 ]
47
[ "43-39=4", "13*4=52", "52-5=47" ]
Current State: 47:[5, 43, 13, 39], Operations: [] Exploring Operation: 43-39=4, Resulting Numbers: [5, 13, 4] Generated Node #2: [5, 13, 4] from Operation: 43-39=4 Current State: 47:[5, 13, 4], Operations: ['43-39=4'] Exploring Operation: 13*4=52, Resulting Numbers: [5, 52] Generated Node #3: [5, 52] from Operation: 13*4=52 Current State: 47:[5, 52], Operations: ['43-39=4', '13*4=52'] Exploring Operation: 52-5=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 68, 45, 25, 35 ]
53
[ "68+45=113", "25+35=60", "113-60=53" ]
Current State: 53:[68, 45, 25, 35], Operations: [] Exploring Operation: 68+45=113, Resulting Numbers: [25, 35, 113] Generated Node #2: [25, 35, 113] from Operation: 68+45=113 Current State: 53:[25, 35, 113], Operations: ['68+45=113'] Exploring Operation: 25+35=60, Resulting Numbers: [113, 60] Generated Node #3: [113, 60] from Operation: 25+35=60 Current State: 53:[113, 60], Operations: ['68+45=113', '25+35=60'] Exploring Operation: 113-60=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 45, 75, 51, 16 ]
69
[ "45+51=96", "96/16=6", "75-6=69" ]
Current State: 69:[45, 75, 51, 16], Operations: [] Exploring Operation: 45+51=96, Resulting Numbers: [75, 16, 96] Generated Node #2: [75, 16, 96] from Operation: 45+51=96 Current State: 69:[75, 16, 96], Operations: ['45+51=96'] Exploring Operation: 96/16=6, Resulting Numbers: [75, 6] Generated Node #3: [75, 6] from Operation: 96/16=6 Current State: 69:[75, 6], Operations: ['45+51=96', '96/16=6'] Exploring Operation: 75-6=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 40, 4, 3, 55 ]
35
[ "40*4=160", "160-55=105", "105/3=35" ]
Current State: 35:[40, 4, 3, 55], Operations: [] Exploring Operation: 40*4=160, Resulting Numbers: [3, 55, 160] Generated Node #2: [3, 55, 160] from Operation: 40*4=160 Current State: 35:[3, 55, 160], Operations: ['40*4=160'] Exploring Operation: 160-55=105, Resulting Numbers: [3, 105] Generated Node #3: [3, 105] from Operation: 160-55=105 Current State: 35:[3, 105], Operations: ['40*4=160', '160-55=105'] Exploring Operation: 105/3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 4, 9, 32, 77 ]
50
[ "9-4=5", "77-32=45", "5+45=50" ]
Current State: 50:[4, 9, 32, 77], Operations: [] Exploring Operation: 9-4=5, Resulting Numbers: [32, 77, 5] Generated Node #2: [32, 77, 5] from Operation: 9-4=5 Current State: 50:[32, 77, 5], Operations: ['9-4=5'] Exploring Operation: 77-32=45, Resulting Numbers: [5, 45] Generated Node #3: [5, 45] from Operation: 77-32=45 Current State: 50:[5, 45], Operations: ['9-4=5', '77-32=45'] Exploring Operation: 5+45=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 3, 73, 5, 33 ]
95
[ "73-3=70", "5*33=165", "165-70=95" ]
Current State: 95:[3, 73, 5, 33], Operations: [] Exploring Operation: 73-3=70, Resulting Numbers: [5, 33, 70] Generated Node #2: [5, 33, 70] from Operation: 73-3=70 Current State: 95:[5, 33, 70], Operations: ['73-3=70'] Exploring Operation: 5*33=165, Resulting Numbers: [70, 165] Generated Node #3: [70, 165] from Operation: 5*33=165 Current State: 95:[70, 165], Operations: ['73-3=70', '5*33=165'] Exploring Operation: 165-70=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 24, 8, 35, 85 ]
20
[ "24/8=3", "35*3=105", "105-85=20" ]
Current State: 20:[24, 8, 35, 85], Operations: [] Exploring Operation: 24/8=3, Resulting Numbers: [35, 85, 3] Generated Node #2: [35, 85, 3] from Operation: 24/8=3 Current State: 20:[35, 85, 3], Operations: ['24/8=3'] Exploring Operation: 35*3=105, Resulting Numbers: [85, 105] Generated Node #3: [85, 105] from Operation: 35*3=105 Current State: 20:[85, 105], Operations: ['24/8=3', '35*3=105'] Exploring Operation: 105-85=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 93, 17, 47, 41 ]
85
[ "93-47=46", "46-41=5", "17*5=85" ]
Current State: 85:[93, 17, 47, 41], Operations: [] Exploring Operation: 93-47=46, Resulting Numbers: [17, 41, 46] Generated Node #2: [17, 41, 46] from Operation: 93-47=46 Current State: 85:[17, 41, 46], Operations: ['93-47=46'] Exploring Operation: 46-41=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 46-41=5 Current State: 85:[17, 5], Operations: ['93-47=46', '46-41=5'] Exploring Operation: 17*5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 45, 81, 48, 64 ]
52
[ "81-45=36", "64-48=16", "36+16=52" ]
Current State: 52:[45, 81, 48, 64], Operations: [] Exploring Operation: 81-45=36, Resulting Numbers: [48, 64, 36] Generated Node #2: [48, 64, 36] from Operation: 81-45=36 Current State: 52:[48, 64, 36], Operations: ['81-45=36'] Exploring Operation: 64-48=16, Resulting Numbers: [36, 16] Generated Node #3: [36, 16] from Operation: 64-48=16 Current State: 52:[36, 16], Operations: ['81-45=36', '64-48=16'] Exploring Operation: 36+16=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 30, 55, 13, 81 ]
28
[ "81-55=26", "26/13=2", "30-2=28" ]
Current State: 28:[30, 55, 13, 81], Operations: [] Exploring Operation: 81-55=26, Resulting Numbers: [30, 13, 26] Generated Node #2: [30, 13, 26] from Operation: 81-55=26 Current State: 28:[30, 13, 26], Operations: ['81-55=26'] Exploring Operation: 26/13=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 26/13=2 Current State: 28:[30, 2], Operations: ['81-55=26', '26/13=2'] Exploring Operation: 30-2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 59, 39, 71, 78 ]
10
[ "71-59=12", "78/39=2", "12-2=10" ]
Current State: 10:[59, 39, 71, 78], Operations: [] Exploring Operation: 71-59=12, Resulting Numbers: [39, 78, 12] Generated Node #2: [39, 78, 12] from Operation: 71-59=12 Current State: 10:[39, 78, 12], Operations: ['71-59=12'] Exploring Operation: 78/39=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 78/39=2 Current State: 10:[12, 2], Operations: ['71-59=12', '78/39=2'] Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 2, 94, 8, 33 ]
72
[ "94/2=47", "33-8=25", "47+25=72" ]
Current State: 72:[2, 94, 8, 33], Operations: [] Exploring Operation: 94/2=47, Resulting Numbers: [8, 33, 47] Generated Node #2: [8, 33, 47] from Operation: 94/2=47 Current State: 72:[8, 33, 47], Operations: ['94/2=47'] Exploring Operation: 33-8=25, Resulting Numbers: [47, 25] Generated Node #3: [47, 25] from Operation: 33-8=25 Current State: 72:[47, 25], Operations: ['94/2=47', '33-8=25'] Exploring Operation: 47+25=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 57, 8, 50, 4 ]
28
[ "57-50=7", "8-4=4", "7*4=28" ]
Current State: 28:[57, 8, 50, 4], Operations: [] Exploring Operation: 57-50=7, Resulting Numbers: [8, 4, 7] Generated Node #2: [8, 4, 7] from Operation: 57-50=7 Current State: 28:[8, 4, 7], Operations: ['57-50=7'] Exploring Operation: 8-4=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 8-4=4 Current State: 28:[7, 4], Operations: ['57-50=7', '8-4=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 66, 57, 89, 2 ]
71
[ "66-57=9", "2*9=18", "89-18=71" ]
Current State: 71:[66, 57, 89, 2], Operations: [] Exploring Operation: 66-57=9, Resulting Numbers: [89, 2, 9] Generated Node #2: [89, 2, 9] from Operation: 66-57=9 Current State: 71:[89, 2, 9], Operations: ['66-57=9'] Exploring Operation: 2*9=18, Resulting Numbers: [89, 18] Generated Node #3: [89, 18] from Operation: 2*9=18 Current State: 71:[89, 18], Operations: ['66-57=9', '2*9=18'] Exploring Operation: 89-18=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4