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
[ 34, 58, 47, 44 ]
72
[ "58-34=24", "47-44=3", "24*3=72" ]
Current State: 72:[34, 58, 47, 44], Operations: [] Exploring Operation: 58-34=24, Resulting Numbers: [47, 44, 24] Generated Node #2: [47, 44, 24] from Operation: 58-34=24 Current State: 72:[47, 44, 24], Operations: ['58-34=24'] Exploring Operation: 47-44=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 47-44=3 Current State: 72:[24, 3], Operations: ['58-34=24', '47-44=3'] Exploring Operation: 24*3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 5, 90, 25, 92 ]
10
[ "25-5=20", "92-90=2", "20/2=10" ]
Current State: 10:[5, 90, 25, 92], Operations: [] Exploring Operation: 25-5=20, Resulting Numbers: [90, 92, 20] Generated Node #2: [90, 92, 20] from Operation: 25-5=20 Current State: 10:[90, 92, 20], Operations: ['25-5=20'] Exploring Operation: 92-90=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 92-90=2 Current State: 10:[20, 2], Operations: ['25-5=20', '92-90=2'] Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 97, 88, 47, 16 ]
79
[ "97+47=144", "144/16=9", "88-9=79" ]
Current State: 79:[97, 88, 47, 16], Operations: [] Exploring Operation: 97+47=144, Resulting Numbers: [88, 16, 144] Generated Node #2: [88, 16, 144] from Operation: 97+47=144 Current State: 79:[88, 16, 144], Operations: ['97+47=144'] Exploring Operation: 144/16=9, Resulting Numbers: [88, 9] Generated Node #3: [88, 9] from Operation: 144/16=9 Current State: 79:[88, 9], Operations: ['97+47=144', '144/16=9'] Exploring Operation: 88-9=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 10, 7, 82, 45 ]
87
[ "45-10=35", "35/7=5", "82+5=87" ]
Current State: 87:[10, 7, 82, 45], Operations: [] Exploring Operation: 45-10=35, Resulting Numbers: [7, 82, 35] Generated Node #2: [7, 82, 35] from Operation: 45-10=35 Current State: 87:[7, 82, 35], Operations: ['45-10=35'] Exploring Operation: 35/7=5, Resulting Numbers: [82, 5] Generated Node #3: [82, 5] from Operation: 35/7=5 Current State: 87:[82, 5], Operations: ['45-10=35', '35/7=5'] Exploring Operation: 82+5=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 14, 89, 15, 36 ]
31
[ "89-14=75", "75/15=5", "36-5=31" ]
Current State: 31:[14, 89, 15, 36], Operations: [] Exploring Operation: 89-14=75, Resulting Numbers: [15, 36, 75] Generated Node #2: [15, 36, 75] from Operation: 89-14=75 Current State: 31:[15, 36, 75], Operations: ['89-14=75'] Exploring Operation: 75/15=5, Resulting Numbers: [36, 5] Generated Node #3: [36, 5] from Operation: 75/15=5 Current State: 31:[36, 5], Operations: ['89-14=75', '75/15=5'] Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 79, 8, 4, 35 ]
69
[ "79-8=71", "4*35=140", "140-71=69" ]
Current State: 69:[79, 8, 4, 35], Operations: [] Exploring Operation: 79-8=71, Resulting Numbers: [4, 35, 71] Generated Node #2: [4, 35, 71] from Operation: 79-8=71 Current State: 69:[4, 35, 71], Operations: ['79-8=71'] Exploring Operation: 4*35=140, Resulting Numbers: [71, 140] Generated Node #3: [71, 140] from Operation: 4*35=140 Current State: 69:[71, 140], Operations: ['79-8=71', '4*35=140'] Exploring Operation: 140-71=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 71, 41, 32, 40 ]
38
[ "71-41=30", "40-32=8", "30+8=38" ]
Current State: 38:[71, 41, 32, 40], Operations: [] Exploring Operation: 71-41=30, Resulting Numbers: [32, 40, 30] Generated Node #2: [32, 40, 30] from Operation: 71-41=30 Current State: 38:[32, 40, 30], Operations: ['71-41=30'] Exploring Operation: 40-32=8, Resulting Numbers: [30, 8] Generated Node #3: [30, 8] from Operation: 40-32=8 Current State: 38:[30, 8], Operations: ['71-41=30', '40-32=8'] Exploring Operation: 30+8=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 37, 35, 44, 53 ]
75
[ "37-35=2", "44/2=22", "53+22=75" ]
Current State: 75:[37, 35, 44, 53], Operations: [] Exploring Operation: 37-35=2, Resulting Numbers: [44, 53, 2] Generated Node #2: [44, 53, 2] from Operation: 37-35=2 Current State: 75:[44, 53, 2], Operations: ['37-35=2'] Exploring Operation: 44/2=22, Resulting Numbers: [53, 22] Generated Node #3: [53, 22] from Operation: 44/2=22 Current State: 75:[53, 22], Operations: ['37-35=2', '44/2=22'] Exploring Operation: 53+22=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 10, 77, 90, 71 ]
48
[ "77-10=67", "90-71=19", "67-19=48" ]
Current State: 48:[10, 77, 90, 71], Operations: [] Exploring Operation: 77-10=67, Resulting Numbers: [90, 71, 67] Generated Node #2: [90, 71, 67] from Operation: 77-10=67 Current State: 48:[90, 71, 67], Operations: ['77-10=67'] Exploring Operation: 90-71=19, Resulting Numbers: [67, 19] Generated Node #3: [67, 19] from Operation: 90-71=19 Current State: 48:[67, 19], Operations: ['77-10=67', '90-71=19'] Exploring Operation: 67-19=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 22, 2, 75, 93 ]
58
[ "93-75=18", "2*18=36", "22+36=58" ]
Current State: 58:[22, 2, 75, 93], Operations: [] Exploring Operation: 93-75=18, Resulting Numbers: [22, 2, 18] Generated Node #2: [22, 2, 18] from Operation: 93-75=18 Current State: 58:[22, 2, 18], Operations: ['93-75=18'] Exploring Operation: 2*18=36, Resulting Numbers: [22, 36] Generated Node #3: [22, 36] from Operation: 2*18=36 Current State: 58:[22, 36], Operations: ['93-75=18', '2*18=36'] Exploring Operation: 22+36=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 63, 21, 8, 61 ]
58
[ "63-61=2", "21+8=29", "2*29=58" ]
Current State: 58:[63, 21, 8, 61], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [21, 8, 2] Generated Node #2: [21, 8, 2] from Operation: 63-61=2 Current State: 58:[21, 8, 2], Operations: ['63-61=2'] Exploring Operation: 21+8=29, Resulting Numbers: [2, 29] Generated Node #3: [2, 29] from Operation: 21+8=29 Current State: 58:[2, 29], Operations: ['63-61=2', '21+8=29'] Exploring Operation: 2*29=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 57, 63, 2, 90 ]
60
[ "57+63=120", "2*90=180", "180-120=60" ]
Current State: 60:[57, 63, 2, 90], Operations: [] Exploring Operation: 57+63=120, Resulting Numbers: [2, 90, 120] Generated Node #2: [2, 90, 120] from Operation: 57+63=120 Current State: 60:[2, 90, 120], Operations: ['57+63=120'] Exploring Operation: 2*90=180, Resulting Numbers: [120, 180] Generated Node #3: [120, 180] from Operation: 2*90=180 Current State: 60:[120, 180], Operations: ['57+63=120', '2*90=180'] Exploring Operation: 180-120=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 11, 79, 15, 6 ]
89
[ "79-11=68", "15+6=21", "68+21=89" ]
Current State: 89:[11, 79, 15, 6], Operations: [] Exploring Operation: 79-11=68, Resulting Numbers: [15, 6, 68] Generated Node #2: [15, 6, 68] from Operation: 79-11=68 Current State: 89:[15, 6, 68], Operations: ['79-11=68'] Exploring Operation: 15+6=21, Resulting Numbers: [68, 21] Generated Node #3: [68, 21] from Operation: 15+6=21 Current State: 89:[68, 21], Operations: ['79-11=68', '15+6=21'] Exploring Operation: 68+21=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 11, 4, 44, 2 ]
62
[ "44-11=33", "2*33=66", "66-4=62" ]
Current State: 62:[11, 4, 44, 2], Operations: [] Exploring Operation: 44-11=33, Resulting Numbers: [4, 2, 33] Generated Node #2: [4, 2, 33] from Operation: 44-11=33 Current State: 62:[4, 2, 33], Operations: ['44-11=33'] Exploring Operation: 2*33=66, Resulting Numbers: [4, 66] Generated Node #3: [4, 66] from Operation: 2*33=66 Current State: 62:[4, 66], Operations: ['44-11=33', '2*33=66'] Exploring Operation: 66-4=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 52, 91, 19, 19 ]
52
[ "19-19=0", "91*0=0", "52+0=52" ]
Current State: 52:[52, 91, 19, 19], Operations: [] Exploring Operation: 19-19=0, Resulting Numbers: [52, 91, 0] Generated Node #2: [52, 91, 0] from Operation: 19-19=0 Current State: 52:[52, 91, 0], Operations: ['19-19=0'] Exploring Operation: 91*0=0, Resulting Numbers: [52, 0] Generated Node #3: [52, 0] from Operation: 91*0=0 Current State: 52:[52, 0], Operations: ['19-19=0', '91*0=0'] Exploring Operation: 52+0=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 21, 42, 55, 6 ]
83
[ "21+55=76", "42/6=7", "76+7=83" ]
Current State: 83:[21, 42, 55, 6], Operations: [] Exploring Operation: 21+55=76, Resulting Numbers: [42, 6, 76] Generated Node #2: [42, 6, 76] from Operation: 21+55=76 Current State: 83:[42, 6, 76], Operations: ['21+55=76'] Exploring Operation: 42/6=7, Resulting Numbers: [76, 7] Generated Node #3: [76, 7] from Operation: 42/6=7 Current State: 83:[76, 7], Operations: ['21+55=76', '42/6=7'] Exploring Operation: 76+7=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 18, 71, 62, 17 ]
91
[ "18*62=1116", "71*17=1207", "1207-1116=91" ]
Current State: 91:[18, 71, 62, 17], Operations: [] Exploring Operation: 18*62=1116, Resulting Numbers: [71, 17, 1116] Generated Node #2: [71, 17, 1116] from Operation: 18*62=1116 Current State: 91:[71, 17, 1116], Operations: ['18*62=1116'] Exploring Operation: 71*17=1207, Resulting Numbers: [1116, 1207] Generated Node #3: [1116, 1207] from Operation: 71*17=1207 Current State: 91:[1116, 1207], Operations: ['18*62=1116', '71*17=1207'] Exploring Operation: 1207-1116=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 64, 70, 64, 5 ]
76
[ "64/64=1", "70+5=75", "1+75=76" ]
Current State: 76:[64, 70, 64, 5], Operations: [] Exploring Operation: 64/64=1, Resulting Numbers: [70, 5, 1] Generated Node #2: [70, 5, 1] from Operation: 64/64=1 Current State: 76:[70, 5, 1], Operations: ['64/64=1'] Exploring Operation: 70+5=75, Resulting Numbers: [1, 75] Generated Node #3: [1, 75] from Operation: 70+5=75 Current State: 76:[1, 75], Operations: ['64/64=1', '70+5=75'] Exploring Operation: 1+75=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 26, 91, 38, 13 ]
83
[ "26*38=988", "91+988=1079", "1079/13=83" ]
Current State: 83:[26, 91, 38, 13], Operations: [] Exploring Operation: 26*38=988, Resulting Numbers: [91, 13, 988] Generated Node #2: [91, 13, 988] from Operation: 26*38=988 Current State: 83:[91, 13, 988], Operations: ['26*38=988'] Exploring Operation: 91+988=1079, Resulting Numbers: [13, 1079] Generated Node #3: [13, 1079] from Operation: 91+988=1079 Current State: 83:[13, 1079], Operations: ['26*38=988', '91+988=1079'] Exploring Operation: 1079/13=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 85, 36, 6, 53 ]
13
[ "85+53=138", "138/6=23", "36-23=13" ]
Current State: 13:[85, 36, 6, 53], Operations: [] Exploring Operation: 85+53=138, Resulting Numbers: [36, 6, 138] Generated Node #2: [36, 6, 138] from Operation: 85+53=138 Current State: 13:[36, 6, 138], Operations: ['85+53=138'] Exploring Operation: 138/6=23, Resulting Numbers: [36, 23] Generated Node #3: [36, 23] from Operation: 138/6=23 Current State: 13:[36, 23], Operations: ['85+53=138', '138/6=23'] Exploring Operation: 36-23=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 48, 78, 76, 4 ]
34
[ "76-48=28", "4*28=112", "112-78=34" ]
Current State: 34:[48, 78, 76, 4], Operations: [] Exploring Operation: 76-48=28, Resulting Numbers: [78, 4, 28] Generated Node #2: [78, 4, 28] from Operation: 76-48=28 Current State: 34:[78, 4, 28], Operations: ['76-48=28'] Exploring Operation: 4*28=112, Resulting Numbers: [78, 112] Generated Node #3: [78, 112] from Operation: 4*28=112 Current State: 34:[78, 112], Operations: ['76-48=28', '4*28=112'] Exploring Operation: 112-78=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 37, 74, 58, 52 ]
31
[ "74-37=37", "58-52=6", "37-6=31" ]
Current State: 31:[37, 74, 58, 52], Operations: [] Exploring Operation: 74-37=37, Resulting Numbers: [58, 52, 37] Generated Node #2: [58, 52, 37] from Operation: 74-37=37 Current State: 31:[58, 52, 37], Operations: ['74-37=37'] Exploring Operation: 58-52=6, Resulting Numbers: [37, 6] Generated Node #3: [37, 6] from Operation: 58-52=6 Current State: 31:[37, 6], Operations: ['74-37=37', '58-52=6'] Exploring Operation: 37-6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 39, 97, 39, 77 ]
20
[ "39+97=136", "39+77=116", "136-116=20" ]
Current State: 20:[39, 97, 39, 77], Operations: [] Exploring Operation: 39+97=136, Resulting Numbers: [77, 136] Generated Node #2: [77, 136] from Operation: 39+97=136 Current State: 20:[77, 136], Operations: ['39+97=136'] Exploring Operation: 39+77=116, Resulting Numbers: [136, 116] Generated Node #3: [136, 116] from Operation: 39+77=116 Current State: 20:[136, 116], Operations: ['39+97=136', '39+77=116'] Exploring Operation: 136-116=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 12, 15, 56, 14 ]
33
[ "12*56=672", "672/14=48", "48-15=33" ]
Current State: 33:[12, 15, 56, 14], Operations: [] Exploring Operation: 12*56=672, Resulting Numbers: [15, 14, 672] Generated Node #2: [15, 14, 672] from Operation: 12*56=672 Current State: 33:[15, 14, 672], Operations: ['12*56=672'] Exploring Operation: 672/14=48, Resulting Numbers: [15, 48] Generated Node #3: [15, 48] from Operation: 672/14=48 Current State: 33:[15, 48], Operations: ['12*56=672', '672/14=48'] Exploring Operation: 48-15=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 9, 21, 40, 97 ]
69
[ "21-9=12", "97-40=57", "12+57=69" ]
Current State: 69:[9, 21, 40, 97], Operations: [] Exploring Operation: 21-9=12, Resulting Numbers: [40, 97, 12] Generated Node #2: [40, 97, 12] from Operation: 21-9=12 Current State: 69:[40, 97, 12], Operations: ['21-9=12'] Exploring Operation: 97-40=57, Resulting Numbers: [12, 57] Generated Node #3: [12, 57] from Operation: 97-40=57 Current State: 69:[12, 57], Operations: ['21-9=12', '97-40=57'] Exploring Operation: 12+57=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 1, 98, 2, 11 ]
38
[ "1*98=98", "98/2=49", "49-11=38" ]
Current State: 38:[1, 98, 2, 11], Operations: [] Exploring Operation: 1*98=98, Resulting Numbers: [2, 11, 98] Generated Node #2: [2, 11, 98] from Operation: 1*98=98 Current State: 38:[2, 11, 98], Operations: ['1*98=98'] Exploring Operation: 98/2=49, Resulting Numbers: [11, 49] Generated Node #3: [11, 49] from Operation: 98/2=49 Current State: 38:[11, 49], Operations: ['1*98=98', '98/2=49'] Exploring Operation: 49-11=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 43, 43, 65, 79 ]
72
[ "43+43=86", "79-65=14", "86-14=72" ]
Current State: 72:[43, 43, 65, 79], Operations: [] Exploring Operation: 43+43=86, Resulting Numbers: [65, 79, 86] Generated Node #2: [65, 79, 86] from Operation: 43+43=86 Current State: 72:[65, 79, 86], Operations: ['43+43=86'] Exploring Operation: 79-65=14, Resulting Numbers: [86, 14] Generated Node #3: [86, 14] from Operation: 79-65=14 Current State: 72:[86, 14], Operations: ['43+43=86', '79-65=14'] Exploring Operation: 86-14=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 59, 8, 17, 56 ]
16
[ "17*56=952", "952-8=944", "944/59=16" ]
Current State: 16:[59, 8, 17, 56], Operations: [] Exploring Operation: 17*56=952, Resulting Numbers: [59, 8, 952] Generated Node #2: [59, 8, 952] from Operation: 17*56=952 Current State: 16:[59, 8, 952], Operations: ['17*56=952'] Exploring Operation: 952-8=944, Resulting Numbers: [59, 944] Generated Node #3: [59, 944] from Operation: 952-8=944 Current State: 16:[59, 944], Operations: ['17*56=952', '952-8=944'] Exploring Operation: 944/59=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 36, 20, 90, 27 ]
18
[ "36+90=126", "27-20=7", "126/7=18" ]
Current State: 18:[36, 20, 90, 27], Operations: [] Exploring Operation: 36+90=126, Resulting Numbers: [20, 27, 126] Generated Node #2: [20, 27, 126] from Operation: 36+90=126 Current State: 18:[20, 27, 126], Operations: ['36+90=126'] Exploring Operation: 27-20=7, Resulting Numbers: [126, 7] Generated Node #3: [126, 7] from Operation: 27-20=7 Current State: 18:[126, 7], Operations: ['36+90=126', '27-20=7'] Exploring Operation: 126/7=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 92, 11, 45, 45 ]
11
[ "45-45=0", "92*0=0", "11+0=11" ]
Current State: 11:[92, 11, 45, 45], Operations: [] Exploring Operation: 45-45=0, Resulting Numbers: [92, 11, 0] Generated Node #2: [92, 11, 0] from Operation: 45-45=0 Current State: 11:[92, 11, 0], Operations: ['45-45=0'] Exploring Operation: 92*0=0, Resulting Numbers: [11, 0] Generated Node #3: [11, 0] from Operation: 92*0=0 Current State: 11:[11, 0], Operations: ['45-45=0', '92*0=0'] Exploring Operation: 11+0=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 36, 13, 30, 7 ]
26
[ "36+13=49", "30-7=23", "49-23=26" ]
Current State: 26:[36, 13, 30, 7], Operations: [] Exploring Operation: 36+13=49, Resulting Numbers: [30, 7, 49] Generated Node #2: [30, 7, 49] from Operation: 36+13=49 Current State: 26:[30, 7, 49], Operations: ['36+13=49'] Exploring Operation: 30-7=23, Resulting Numbers: [49, 23] Generated Node #3: [49, 23] from Operation: 30-7=23 Current State: 26:[49, 23], Operations: ['36+13=49', '30-7=23'] Exploring Operation: 49-23=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 92, 53, 6, 13 ]
46
[ "92-53=39", "13-6=7", "39+7=46" ]
Current State: 46:[92, 53, 6, 13], Operations: [] Exploring Operation: 92-53=39, Resulting Numbers: [6, 13, 39] Generated Node #2: [6, 13, 39] from Operation: 92-53=39 Current State: 46:[6, 13, 39], Operations: ['92-53=39'] Exploring Operation: 13-6=7, Resulting Numbers: [39, 7] Generated Node #3: [39, 7] from Operation: 13-6=7 Current State: 46:[39, 7], Operations: ['92-53=39', '13-6=7'] Exploring Operation: 39+7=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 5, 5, 51, 21 ]
47
[ "5*5=25", "51+21=72", "72-25=47" ]
Current State: 47:[5, 5, 51, 21], Operations: [] Exploring Operation: 5*5=25, Resulting Numbers: [51, 21, 25] Generated Node #2: [51, 21, 25] from Operation: 5*5=25 Current State: 47:[51, 21, 25], Operations: ['5*5=25'] Exploring Operation: 51+21=72, Resulting Numbers: [25, 72] Generated Node #3: [25, 72] from Operation: 51+21=72 Current State: 47:[25, 72], Operations: ['5*5=25', '51+21=72'] Exploring Operation: 72-25=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 97, 71, 73, 18 ]
81
[ "97-71=26", "73-18=55", "26+55=81" ]
Current State: 81:[97, 71, 73, 18], Operations: [] Exploring Operation: 97-71=26, Resulting Numbers: [73, 18, 26] Generated Node #2: [73, 18, 26] from Operation: 97-71=26 Current State: 81:[73, 18, 26], Operations: ['97-71=26'] Exploring Operation: 73-18=55, Resulting Numbers: [26, 55] Generated Node #3: [26, 55] from Operation: 73-18=55 Current State: 81:[26, 55], Operations: ['97-71=26', '73-18=55'] Exploring Operation: 26+55=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 98, 2, 52, 46 ]
98
[ "98*2=196", "52+46=98", "196-98=98" ]
Current State: 98:[98, 2, 52, 46], Operations: [] Exploring Operation: 98*2=196, Resulting Numbers: [52, 46, 196] Generated Node #2: [52, 46, 196] from Operation: 98*2=196 Current State: 98:[52, 46, 196], Operations: ['98*2=196'] Exploring Operation: 52+46=98, Resulting Numbers: [196, 98] Generated Node #3: [196, 98] from Operation: 52+46=98 Current State: 98:[196, 98], Operations: ['98*2=196', '52+46=98'] Exploring Operation: 196-98=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 70, 75, 55, 35 ]
55
[ "70+75=145", "55+35=90", "145-90=55" ]
Current State: 55:[70, 75, 55, 35], Operations: [] Exploring Operation: 70+75=145, Resulting Numbers: [55, 35, 145] Generated Node #2: [55, 35, 145] from Operation: 70+75=145 Current State: 55:[55, 35, 145], Operations: ['70+75=145'] Exploring Operation: 55+35=90, Resulting Numbers: [145, 90] Generated Node #3: [145, 90] from Operation: 55+35=90 Current State: 55:[145, 90], Operations: ['70+75=145', '55+35=90'] Exploring Operation: 145-90=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 4, 76, 32, 61 ]
10
[ "76/4=19", "61-32=29", "29-19=10" ]
Current State: 10:[4, 76, 32, 61], Operations: [] Exploring Operation: 76/4=19, Resulting Numbers: [32, 61, 19] Generated Node #2: [32, 61, 19] from Operation: 76/4=19 Current State: 10:[32, 61, 19], Operations: ['76/4=19'] Exploring Operation: 61-32=29, Resulting Numbers: [19, 29] Generated Node #3: [19, 29] from Operation: 61-32=29 Current State: 10:[19, 29], Operations: ['76/4=19', '61-32=29'] Exploring Operation: 29-19=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 88, 28, 12, 75 ]
80
[ "88-28=60", "60/12=5", "75+5=80" ]
Current State: 80:[88, 28, 12, 75], Operations: [] Exploring Operation: 88-28=60, Resulting Numbers: [12, 75, 60] Generated Node #2: [12, 75, 60] from Operation: 88-28=60 Current State: 80:[12, 75, 60], Operations: ['88-28=60'] Exploring Operation: 60/12=5, Resulting Numbers: [75, 5] Generated Node #3: [75, 5] from Operation: 60/12=5 Current State: 80:[75, 5], Operations: ['88-28=60', '60/12=5'] Exploring Operation: 75+5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 24, 25, 52, 86 ]
34
[ "25-24=1", "86-52=34", "1*34=34" ]
Current State: 34:[24, 25, 52, 86], Operations: [] Exploring Operation: 25-24=1, Resulting Numbers: [52, 86, 1] Generated Node #2: [52, 86, 1] from Operation: 25-24=1 Current State: 34:[52, 86, 1], Operations: ['25-24=1'] Exploring Operation: 86-52=34, Resulting Numbers: [1, 34] Generated Node #3: [1, 34] from Operation: 86-52=34 Current State: 34:[1, 34], Operations: ['25-24=1', '86-52=34'] Exploring Operation: 1*34=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 96, 58, 67, 55 ]
53
[ "96-67=29", "58/29=2", "55-2=53" ]
Current State: 53:[96, 58, 67, 55], Operations: [] Exploring Operation: 96-67=29, Resulting Numbers: [58, 55, 29] Generated Node #2: [58, 55, 29] from Operation: 96-67=29 Current State: 53:[58, 55, 29], Operations: ['96-67=29'] Exploring Operation: 58/29=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 58/29=2 Current State: 53:[55, 2], Operations: ['96-67=29', '58/29=2'] Exploring Operation: 55-2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 34, 6, 57, 61 ]
17
[ "6+57=63", "63-61=2", "34/2=17" ]
Current State: 17:[34, 6, 57, 61], Operations: [] Exploring Operation: 6+57=63, Resulting Numbers: [34, 61, 63] Generated Node #2: [34, 61, 63] from Operation: 6+57=63 Current State: 17:[34, 61, 63], Operations: ['6+57=63'] Exploring Operation: 63-61=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 63-61=2 Current State: 17:[34, 2], Operations: ['6+57=63', '63-61=2'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 8, 97, 29, 93 ]
84
[ "29-8=21", "97-93=4", "21*4=84" ]
Current State: 84:[8, 97, 29, 93], Operations: [] Exploring Operation: 29-8=21, Resulting Numbers: [97, 93, 21] Generated Node #2: [97, 93, 21] from Operation: 29-8=21 Current State: 84:[97, 93, 21], Operations: ['29-8=21'] Exploring Operation: 97-93=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 97-93=4 Current State: 84:[21, 4], Operations: ['29-8=21', '97-93=4'] Exploring Operation: 21*4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 5, 17, 60, 28 ]
23
[ "17-5=12", "60/12=5", "28-5=23" ]
Current State: 23:[5, 17, 60, 28], Operations: [] Exploring Operation: 17-5=12, Resulting Numbers: [60, 28, 12] Generated Node #2: [60, 28, 12] from Operation: 17-5=12 Current State: 23:[60, 28, 12], Operations: ['17-5=12'] Exploring Operation: 60/12=5, Resulting Numbers: [28, 5] Generated Node #3: [28, 5] from Operation: 60/12=5 Current State: 23:[28, 5], Operations: ['17-5=12', '60/12=5'] Exploring Operation: 28-5=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 51, 87, 65, 65 ]
87
[ "65-65=0", "51*0=0", "87+0=87" ]
Current State: 87:[51, 87, 65, 65], Operations: [] Exploring Operation: 65-65=0, Resulting Numbers: [51, 87, 0] Generated Node #2: [51, 87, 0] from Operation: 65-65=0 Current State: 87:[51, 87, 0], Operations: ['65-65=0'] Exploring Operation: 51*0=0, Resulting Numbers: [87, 0] Generated Node #3: [87, 0] from Operation: 51*0=0 Current State: 87:[87, 0], Operations: ['65-65=0', '51*0=0'] Exploring Operation: 87+0=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 85, 12, 73, 24 ]
23
[ "85-12=73", "73/73=1", "24-1=23" ]
Current State: 23:[85, 12, 73, 24], Operations: [] Exploring Operation: 85-12=73, Resulting Numbers: [73, 24, 73] Generated Node #2: [73, 24, 73] from Operation: 85-12=73 Current State: 23:[73, 24, 73], Operations: ['85-12=73'] Exploring Operation: 73/73=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 73/73=1 Current State: 23:[24, 1], Operations: ['85-12=73', '73/73=1'] Exploring Operation: 24-1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 20, 71, 4, 9 ]
85
[ "20/4=5", "71+9=80", "5+80=85" ]
Current State: 85:[20, 71, 4, 9], Operations: [] Exploring Operation: 20/4=5, Resulting Numbers: [71, 9, 5] Generated Node #2: [71, 9, 5] from Operation: 20/4=5 Current State: 85:[71, 9, 5], Operations: ['20/4=5'] Exploring Operation: 71+9=80, Resulting Numbers: [5, 80] Generated Node #3: [5, 80] from Operation: 71+9=80 Current State: 85:[5, 80], Operations: ['20/4=5', '71+9=80'] Exploring Operation: 5+80=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 35, 24, 9, 12 ]
52
[ "35-9=26", "24/12=2", "26*2=52" ]
Current State: 52:[35, 24, 9, 12], Operations: [] Exploring Operation: 35-9=26, Resulting Numbers: [24, 12, 26] Generated Node #2: [24, 12, 26] from Operation: 35-9=26 Current State: 52:[24, 12, 26], Operations: ['35-9=26'] Exploring Operation: 24/12=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 24/12=2 Current State: 52:[26, 2], Operations: ['35-9=26', '24/12=2'] Exploring Operation: 26*2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 57, 46, 71, 2 ]
53
[ "71-57=14", "14/2=7", "46+7=53" ]
Current State: 53:[57, 46, 71, 2], Operations: [] Exploring Operation: 71-57=14, Resulting Numbers: [46, 2, 14] Generated Node #2: [46, 2, 14] from Operation: 71-57=14 Current State: 53:[46, 2, 14], Operations: ['71-57=14'] Exploring Operation: 14/2=7, Resulting Numbers: [46, 7] Generated Node #3: [46, 7] from Operation: 14/2=7 Current State: 53:[46, 7], Operations: ['71-57=14', '14/2=7'] Exploring Operation: 46+7=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 35, 20, 57, 63 ]
61
[ "35+20=55", "63-57=6", "55+6=61" ]
Current State: 61:[35, 20, 57, 63], Operations: [] Exploring Operation: 35+20=55, Resulting Numbers: [57, 63, 55] Generated Node #2: [57, 63, 55] from Operation: 35+20=55 Current State: 61:[57, 63, 55], Operations: ['35+20=55'] Exploring Operation: 63-57=6, Resulting Numbers: [55, 6] Generated Node #3: [55, 6] from Operation: 63-57=6 Current State: 61:[55, 6], Operations: ['35+20=55', '63-57=6'] Exploring Operation: 55+6=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 9, 48, 65, 3 ]
72
[ "65-9=56", "48/3=16", "56+16=72" ]
Current State: 72:[9, 48, 65, 3], Operations: [] Exploring Operation: 65-9=56, Resulting Numbers: [48, 3, 56] Generated Node #2: [48, 3, 56] from Operation: 65-9=56 Current State: 72:[48, 3, 56], Operations: ['65-9=56'] Exploring Operation: 48/3=16, Resulting Numbers: [56, 16] Generated Node #3: [56, 16] from Operation: 48/3=16 Current State: 72:[56, 16], Operations: ['65-9=56', '48/3=16'] Exploring Operation: 56+16=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 50, 80, 43, 11 ]
24
[ "80-50=30", "43+11=54", "54-30=24" ]
Current State: 24:[50, 80, 43, 11], Operations: [] Exploring Operation: 80-50=30, Resulting Numbers: [43, 11, 30] Generated Node #2: [43, 11, 30] from Operation: 80-50=30 Current State: 24:[43, 11, 30], Operations: ['80-50=30'] Exploring Operation: 43+11=54, Resulting Numbers: [30, 54] Generated Node #3: [30, 54] from Operation: 43+11=54 Current State: 24:[30, 54], Operations: ['80-50=30', '43+11=54'] Exploring Operation: 54-30=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 70, 60, 99, 10 ]
21
[ "70+60=130", "99+10=109", "130-109=21" ]
Current State: 21:[70, 60, 99, 10], Operations: [] Exploring Operation: 70+60=130, Resulting Numbers: [99, 10, 130] Generated Node #2: [99, 10, 130] from Operation: 70+60=130 Current State: 21:[99, 10, 130], Operations: ['70+60=130'] Exploring Operation: 99+10=109, Resulting Numbers: [130, 109] Generated Node #3: [130, 109] from Operation: 99+10=109 Current State: 21:[130, 109], Operations: ['70+60=130', '99+10=109'] Exploring Operation: 130-109=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 31, 27, 14, 71 ]
27
[ "31+27=58", "14+71=85", "85-58=27" ]
Current State: 27:[31, 27, 14, 71], Operations: [] Exploring Operation: 31+27=58, Resulting Numbers: [14, 71, 58] Generated Node #2: [14, 71, 58] from Operation: 31+27=58 Current State: 27:[14, 71, 58], Operations: ['31+27=58'] Exploring Operation: 14+71=85, Resulting Numbers: [58, 85] Generated Node #3: [58, 85] from Operation: 14+71=85 Current State: 27:[58, 85], Operations: ['31+27=58', '14+71=85'] Exploring Operation: 85-58=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 28, 39, 74, 83 ]
26
[ "28+83=111", "39*74=2886", "2886/111=26" ]
Current State: 26:[28, 39, 74, 83], Operations: [] Exploring Operation: 28+83=111, Resulting Numbers: [39, 74, 111] Generated Node #2: [39, 74, 111] from Operation: 28+83=111 Current State: 26:[39, 74, 111], Operations: ['28+83=111'] Exploring Operation: 39*74=2886, Resulting Numbers: [111, 2886] Generated Node #3: [111, 2886] from Operation: 39*74=2886 Current State: 26:[111, 2886], Operations: ['28+83=111', '39*74=2886'] Exploring Operation: 2886/111=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 93, 33, 44, 2 ]
41
[ "93+33=126", "126-44=82", "82/2=41" ]
Current State: 41:[93, 33, 44, 2], Operations: [] Exploring Operation: 93+33=126, Resulting Numbers: [44, 2, 126] Generated Node #2: [44, 2, 126] from Operation: 93+33=126 Current State: 41:[44, 2, 126], Operations: ['93+33=126'] Exploring Operation: 126-44=82, Resulting Numbers: [2, 82] Generated Node #3: [2, 82] from Operation: 126-44=82 Current State: 41:[2, 82], Operations: ['93+33=126', '126-44=82'] Exploring Operation: 82/2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 9, 23, 3, 15 ]
11
[ "9*3=27", "23+15=38", "38-27=11" ]
Current State: 11:[9, 23, 3, 15], Operations: [] Exploring Operation: 9*3=27, Resulting Numbers: [23, 15, 27] Generated Node #2: [23, 15, 27] from Operation: 9*3=27 Current State: 11:[23, 15, 27], Operations: ['9*3=27'] Exploring Operation: 23+15=38, Resulting Numbers: [27, 38] Generated Node #3: [27, 38] from Operation: 23+15=38 Current State: 11:[27, 38], Operations: ['9*3=27', '23+15=38'] Exploring Operation: 38-27=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 17, 25, 56, 75 ]
100
[ "17+25=42", "56*75=4200", "4200/42=100" ]
Current State: 100:[17, 25, 56, 75], Operations: [] Exploring Operation: 17+25=42, Resulting Numbers: [56, 75, 42] Generated Node #2: [56, 75, 42] from Operation: 17+25=42 Current State: 100:[56, 75, 42], Operations: ['17+25=42'] Exploring Operation: 56*75=4200, Resulting Numbers: [42, 4200] Generated Node #3: [42, 4200] from Operation: 56*75=4200 Current State: 100:[42, 4200], Operations: ['17+25=42', '56*75=4200'] Exploring Operation: 4200/42=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 71, 96, 43, 7 ]
25
[ "96-71=25", "43+7=50", "50-25=25" ]
Current State: 25:[71, 96, 43, 7], Operations: [] Exploring Operation: 96-71=25, Resulting Numbers: [43, 7, 25] Generated Node #2: [43, 7, 25] from Operation: 96-71=25 Current State: 25:[43, 7, 25], Operations: ['96-71=25'] Exploring Operation: 43+7=50, Resulting Numbers: [25, 50] Generated Node #3: [25, 50] from Operation: 43+7=50 Current State: 25:[25, 50], Operations: ['96-71=25', '43+7=50'] Exploring Operation: 50-25=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 79, 72, 10, 90 ]
63
[ "79-72=7", "90/10=9", "7*9=63" ]
Current State: 63:[79, 72, 10, 90], Operations: [] Exploring Operation: 79-72=7, Resulting Numbers: [10, 90, 7] Generated Node #2: [10, 90, 7] from Operation: 79-72=7 Current State: 63:[10, 90, 7], Operations: ['79-72=7'] Exploring Operation: 90/10=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 90/10=9 Current State: 63:[7, 9], Operations: ['79-72=7', '90/10=9'] Exploring Operation: 7*9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 31, 29, 56, 21 ]
98
[ "31-29=2", "21*2=42", "56+42=98" ]
Current State: 98:[31, 29, 56, 21], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [56, 21, 2] Generated Node #2: [56, 21, 2] from Operation: 31-29=2 Current State: 98:[56, 21, 2], Operations: ['31-29=2'] Exploring Operation: 21*2=42, Resulting Numbers: [56, 42] Generated Node #3: [56, 42] from Operation: 21*2=42 Current State: 98:[56, 42], Operations: ['31-29=2', '21*2=42'] Exploring Operation: 56+42=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 27, 78, 24, 90 ]
63
[ "78-27=51", "24+90=114", "114-51=63" ]
Current State: 63:[27, 78, 24, 90], Operations: [] Exploring Operation: 78-27=51, Resulting Numbers: [24, 90, 51] Generated Node #2: [24, 90, 51] from Operation: 78-27=51 Current State: 63:[24, 90, 51], Operations: ['78-27=51'] Exploring Operation: 24+90=114, Resulting Numbers: [51, 114] Generated Node #3: [51, 114] from Operation: 24+90=114 Current State: 63:[51, 114], Operations: ['78-27=51', '24+90=114'] Exploring Operation: 114-51=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 31, 7, 68, 71 ]
78
[ "31*7=217", "68+71=139", "217-139=78" ]
Current State: 78:[31, 7, 68, 71], Operations: [] Exploring Operation: 31*7=217, Resulting Numbers: [68, 71, 217] Generated Node #2: [68, 71, 217] from Operation: 31*7=217 Current State: 78:[68, 71, 217], Operations: ['31*7=217'] Exploring Operation: 68+71=139, Resulting Numbers: [217, 139] Generated Node #3: [217, 139] from Operation: 68+71=139 Current State: 78:[217, 139], Operations: ['31*7=217', '68+71=139'] Exploring Operation: 217-139=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 11, 54, 17, 75 ]
15
[ "54-11=43", "75-17=58", "58-43=15" ]
Current State: 15:[11, 54, 17, 75], Operations: [] Exploring Operation: 54-11=43, Resulting Numbers: [17, 75, 43] Generated Node #2: [17, 75, 43] from Operation: 54-11=43 Current State: 15:[17, 75, 43], Operations: ['54-11=43'] Exploring Operation: 75-17=58, Resulting Numbers: [43, 58] Generated Node #3: [43, 58] from Operation: 75-17=58 Current State: 15:[43, 58], Operations: ['54-11=43', '75-17=58'] Exploring Operation: 58-43=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 24, 7, 43, 10 ]
16
[ "24-7=17", "43-10=33", "33-17=16" ]
Current State: 16:[24, 7, 43, 10], Operations: [] Exploring Operation: 24-7=17, Resulting Numbers: [43, 10, 17] Generated Node #2: [43, 10, 17] from Operation: 24-7=17 Current State: 16:[43, 10, 17], Operations: ['24-7=17'] Exploring Operation: 43-10=33, Resulting Numbers: [17, 33] Generated Node #3: [17, 33] from Operation: 43-10=33 Current State: 16:[17, 33], Operations: ['24-7=17', '43-10=33'] Exploring Operation: 33-17=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 72, 19, 6, 36 ]
11
[ "72-19=53", "6+36=42", "53-42=11" ]
Current State: 11:[72, 19, 6, 36], Operations: [] Exploring Operation: 72-19=53, Resulting Numbers: [6, 36, 53] Generated Node #2: [6, 36, 53] from Operation: 72-19=53 Current State: 11:[6, 36, 53], Operations: ['72-19=53'] Exploring Operation: 6+36=42, Resulting Numbers: [53, 42] Generated Node #3: [53, 42] from Operation: 6+36=42 Current State: 11:[53, 42], Operations: ['72-19=53', '6+36=42'] Exploring Operation: 53-42=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 32, 45, 90, 82 ]
100
[ "82-32=50", "90/45=2", "50*2=100" ]
Current State: 100:[32, 45, 90, 82], Operations: [] Exploring Operation: 82-32=50, Resulting Numbers: [45, 90, 50] Generated Node #2: [45, 90, 50] from Operation: 82-32=50 Current State: 100:[45, 90, 50], Operations: ['82-32=50'] Exploring Operation: 90/45=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 90/45=2 Current State: 100:[50, 2], Operations: ['82-32=50', '90/45=2'] Exploring Operation: 50*2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 16, 34, 49, 72 ]
41
[ "34-16=18", "72-49=23", "18+23=41" ]
Current State: 41:[16, 34, 49, 72], Operations: [] Exploring Operation: 34-16=18, Resulting Numbers: [49, 72, 18] Generated Node #2: [49, 72, 18] from Operation: 34-16=18 Current State: 41:[49, 72, 18], Operations: ['34-16=18'] Exploring Operation: 72-49=23, Resulting Numbers: [18, 23] Generated Node #3: [18, 23] from Operation: 72-49=23 Current State: 41:[18, 23], Operations: ['34-16=18', '72-49=23'] Exploring Operation: 18+23=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 7, 5, 30, 18 ]
36
[ "7+5=12", "30+18=48", "48-12=36" ]
Current State: 36:[7, 5, 30, 18], Operations: [] Exploring Operation: 7+5=12, Resulting Numbers: [30, 18, 12] Generated Node #2: [30, 18, 12] from Operation: 7+5=12 Current State: 36:[30, 18, 12], Operations: ['7+5=12'] Exploring Operation: 30+18=48, Resulting Numbers: [12, 48] Generated Node #3: [12, 48] from Operation: 30+18=48 Current State: 36:[12, 48], Operations: ['7+5=12', '30+18=48'] Exploring Operation: 48-12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 87, 94, 89, 1 ]
91
[ "87+94=181", "89+1=90", "181-90=91" ]
Current State: 91:[87, 94, 89, 1], Operations: [] Exploring Operation: 87+94=181, Resulting Numbers: [89, 1, 181] Generated Node #2: [89, 1, 181] from Operation: 87+94=181 Current State: 91:[89, 1, 181], Operations: ['87+94=181'] Exploring Operation: 89+1=90, Resulting Numbers: [181, 90] Generated Node #3: [181, 90] from Operation: 89+1=90 Current State: 91:[181, 90], Operations: ['87+94=181', '89+1=90'] Exploring Operation: 181-90=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 12, 14, 19, 42 ]
15
[ "12*14=168", "168/42=4", "19-4=15" ]
Current State: 15:[12, 14, 19, 42], Operations: [] Exploring Operation: 12*14=168, Resulting Numbers: [19, 42, 168] Generated Node #2: [19, 42, 168] from Operation: 12*14=168 Current State: 15:[19, 42, 168], Operations: ['12*14=168'] Exploring Operation: 168/42=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 168/42=4 Current State: 15:[19, 4], Operations: ['12*14=168', '168/42=4'] Exploring Operation: 19-4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 78, 83, 34, 68 ]
88
[ "83*68=5644", "5644/34=166", "166-78=88" ]
Current State: 88:[78, 83, 34, 68], Operations: [] Exploring Operation: 83*68=5644, Resulting Numbers: [78, 34, 5644] Generated Node #2: [78, 34, 5644] from Operation: 83*68=5644 Current State: 88:[78, 34, 5644], Operations: ['83*68=5644'] Exploring Operation: 5644/34=166, Resulting Numbers: [78, 166] Generated Node #3: [78, 166] from Operation: 5644/34=166 Current State: 88:[78, 166], Operations: ['83*68=5644', '5644/34=166'] Exploring Operation: 166-78=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 3, 36, 70, 76 ]
38
[ "3*36=108", "70+76=146", "146-108=38" ]
Current State: 38:[3, 36, 70, 76], Operations: [] Exploring Operation: 3*36=108, Resulting Numbers: [70, 76, 108] Generated Node #2: [70, 76, 108] from Operation: 3*36=108 Current State: 38:[70, 76, 108], Operations: ['3*36=108'] Exploring Operation: 70+76=146, Resulting Numbers: [108, 146] Generated Node #3: [108, 146] from Operation: 70+76=146 Current State: 38:[108, 146], Operations: ['3*36=108', '70+76=146'] Exploring Operation: 146-108=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 85, 14, 21, 93 ]
12
[ "93-85=8", "21*8=168", "168/14=12" ]
Current State: 12:[85, 14, 21, 93], Operations: [] Exploring Operation: 93-85=8, Resulting Numbers: [14, 21, 8] Generated Node #2: [14, 21, 8] from Operation: 93-85=8 Current State: 12:[14, 21, 8], Operations: ['93-85=8'] Exploring Operation: 21*8=168, Resulting Numbers: [14, 168] Generated Node #3: [14, 168] from Operation: 21*8=168 Current State: 12:[14, 168], Operations: ['93-85=8', '21*8=168'] Exploring Operation: 168/14=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 19, 65, 28, 49 ]
46
[ "19+65=84", "84/28=3", "49-3=46" ]
Current State: 46:[19, 65, 28, 49], Operations: [] Exploring Operation: 19+65=84, Resulting Numbers: [28, 49, 84] Generated Node #2: [28, 49, 84] from Operation: 19+65=84 Current State: 46:[28, 49, 84], Operations: ['19+65=84'] Exploring Operation: 84/28=3, Resulting Numbers: [49, 3] Generated Node #3: [49, 3] from Operation: 84/28=3 Current State: 46:[49, 3], Operations: ['19+65=84', '84/28=3'] Exploring Operation: 49-3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 7, 89, 34, 94 ]
68
[ "7+89=96", "96-94=2", "34*2=68" ]
Current State: 68:[7, 89, 34, 94], Operations: [] Exploring Operation: 7+89=96, Resulting Numbers: [34, 94, 96] Generated Node #2: [34, 94, 96] from Operation: 7+89=96 Current State: 68:[34, 94, 96], Operations: ['7+89=96'] Exploring Operation: 96-94=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 96-94=2 Current State: 68:[34, 2], Operations: ['7+89=96', '96-94=2'] Exploring Operation: 34*2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 3, 34, 24, 27 ]
71
[ "3*27=81", "34-24=10", "81-10=71" ]
Current State: 71:[3, 34, 24, 27], Operations: [] Exploring Operation: 3*27=81, Resulting Numbers: [34, 24, 81] Generated Node #2: [34, 24, 81] from Operation: 3*27=81 Current State: 71:[34, 24, 81], Operations: ['3*27=81'] Exploring Operation: 34-24=10, Resulting Numbers: [81, 10] Generated Node #3: [81, 10] from Operation: 34-24=10 Current State: 71:[81, 10], Operations: ['3*27=81', '34-24=10'] Exploring Operation: 81-10=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 73, 12, 6, 97 ]
16
[ "97-73=24", "24/6=4", "12+4=16" ]
Current State: 16:[73, 12, 6, 97], Operations: [] Exploring Operation: 97-73=24, Resulting Numbers: [12, 6, 24] Generated Node #2: [12, 6, 24] from Operation: 97-73=24 Current State: 16:[12, 6, 24], Operations: ['97-73=24'] Exploring Operation: 24/6=4, Resulting Numbers: [12, 4] Generated Node #3: [12, 4] from Operation: 24/6=4 Current State: 16:[12, 4], Operations: ['97-73=24', '24/6=4'] Exploring Operation: 12+4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 41, 2, 82, 28 ]
32
[ "82/41=2", "2+28=30", "2+30=32" ]
Current State: 32:[41, 2, 82, 28], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [2, 28, 2] Generated Node #2: [2, 28, 2] from Operation: 82/41=2 Current State: 32:[2, 28, 2], Operations: ['82/41=2'] Exploring Operation: 2+28=30, Resulting Numbers: [30] 30,32 equal: Goal Reached Exploring Operation: 2+30=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 57, 42, 2, 60 ]
78
[ "57+42=99", "99-60=39", "2*39=78" ]
Current State: 78:[57, 42, 2, 60], Operations: [] Exploring Operation: 57+42=99, Resulting Numbers: [2, 60, 99] Generated Node #2: [2, 60, 99] from Operation: 57+42=99 Current State: 78:[2, 60, 99], Operations: ['57+42=99'] Exploring Operation: 99-60=39, Resulting Numbers: [2, 39] Generated Node #3: [2, 39] from Operation: 99-60=39 Current State: 78:[2, 39], Operations: ['57+42=99', '99-60=39'] Exploring Operation: 2*39=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 21, 7, 29, 98 ]
83
[ "21-7=14", "98-29=69", "14+69=83" ]
Current State: 83:[21, 7, 29, 98], Operations: [] Exploring Operation: 21-7=14, Resulting Numbers: [29, 98, 14] Generated Node #2: [29, 98, 14] from Operation: 21-7=14 Current State: 83:[29, 98, 14], Operations: ['21-7=14'] Exploring Operation: 98-29=69, Resulting Numbers: [14, 69] Generated Node #3: [14, 69] from Operation: 98-29=69 Current State: 83:[14, 69], Operations: ['21-7=14', '98-29=69'] Exploring Operation: 14+69=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 41, 59, 51, 30 ]
85
[ "59-41=18", "51*30=1530", "1530/18=85" ]
Current State: 85:[41, 59, 51, 30], Operations: [] Exploring Operation: 59-41=18, Resulting Numbers: [51, 30, 18] Generated Node #2: [51, 30, 18] from Operation: 59-41=18 Current State: 85:[51, 30, 18], Operations: ['59-41=18'] Exploring Operation: 51*30=1530, Resulting Numbers: [18, 1530] Generated Node #3: [18, 1530] from Operation: 51*30=1530 Current State: 85:[18, 1530], Operations: ['59-41=18', '51*30=1530'] Exploring Operation: 1530/18=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 13, 37, 78, 29 ]
73
[ "37-13=24", "78-29=49", "24+49=73" ]
Current State: 73:[13, 37, 78, 29], Operations: [] Exploring Operation: 37-13=24, Resulting Numbers: [78, 29, 24] Generated Node #2: [78, 29, 24] from Operation: 37-13=24 Current State: 73:[78, 29, 24], Operations: ['37-13=24'] Exploring Operation: 78-29=49, Resulting Numbers: [24, 49] Generated Node #3: [24, 49] from Operation: 78-29=49 Current State: 73:[24, 49], Operations: ['37-13=24', '78-29=49'] Exploring Operation: 24+49=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 2, 45, 89, 15 ]
74
[ "2*15=30", "89-45=44", "30+44=74" ]
Current State: 74:[2, 45, 89, 15], Operations: [] Exploring Operation: 2*15=30, Resulting Numbers: [45, 89, 30] Generated Node #2: [45, 89, 30] from Operation: 2*15=30 Current State: 74:[45, 89, 30], Operations: ['2*15=30'] Exploring Operation: 89-45=44, Resulting Numbers: [30, 44] Generated Node #3: [30, 44] from Operation: 89-45=44 Current State: 74:[30, 44], Operations: ['2*15=30', '89-45=44'] Exploring Operation: 30+44=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 15, 83, 71, 36 ]
12
[ "83-15=68", "71-68=3", "36/3=12" ]
Current State: 12:[15, 83, 71, 36], Operations: [] Exploring Operation: 83-15=68, Resulting Numbers: [71, 36, 68] Generated Node #2: [71, 36, 68] from Operation: 83-15=68 Current State: 12:[71, 36, 68], Operations: ['83-15=68'] Exploring Operation: 71-68=3, Resulting Numbers: [36, 3] Generated Node #3: [36, 3] from Operation: 71-68=3 Current State: 12:[36, 3], Operations: ['83-15=68', '71-68=3'] Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 57, 42, 2, 62 ]
49
[ "57-42=15", "2+62=64", "64-15=49" ]
Current State: 49:[57, 42, 2, 62], Operations: [] Exploring Operation: 57-42=15, Resulting Numbers: [2, 62, 15] Generated Node #2: [2, 62, 15] from Operation: 57-42=15 Current State: 49:[2, 62, 15], Operations: ['57-42=15'] Exploring Operation: 2+62=64, Resulting Numbers: [15, 64] Generated Node #3: [15, 64] from Operation: 2+62=64 Current State: 49:[15, 64], Operations: ['57-42=15', '2+62=64'] Exploring Operation: 64-15=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 31, 57, 50, 62 ]
95
[ "50-31=19", "62-57=5", "19*5=95" ]
Current State: 95:[31, 57, 50, 62], Operations: [] Exploring Operation: 50-31=19, Resulting Numbers: [57, 62, 19] Generated Node #2: [57, 62, 19] from Operation: 50-31=19 Current State: 95:[57, 62, 19], Operations: ['50-31=19'] Exploring Operation: 62-57=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 62-57=5 Current State: 95:[19, 5], Operations: ['50-31=19', '62-57=5'] Exploring Operation: 19*5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 7, 66, 92, 46 ]
48
[ "66-46=20", "7*20=140", "140-92=48" ]
Current State: 48:[7, 66, 92, 46], Operations: [] Exploring Operation: 66-46=20, Resulting Numbers: [7, 92, 20] Generated Node #2: [7, 92, 20] from Operation: 66-46=20 Current State: 48:[7, 92, 20], Operations: ['66-46=20'] Exploring Operation: 7*20=140, Resulting Numbers: [92, 140] Generated Node #3: [92, 140] from Operation: 7*20=140 Current State: 48:[92, 140], Operations: ['66-46=20', '7*20=140'] Exploring Operation: 140-92=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 57, 96, 24, 99 ]
93
[ "57-24=33", "99/33=3", "96-3=93" ]
Current State: 93:[57, 96, 24, 99], Operations: [] Exploring Operation: 57-24=33, Resulting Numbers: [96, 99, 33] Generated Node #2: [96, 99, 33] from Operation: 57-24=33 Current State: 93:[96, 99, 33], Operations: ['57-24=33'] Exploring Operation: 99/33=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 99/33=3 Current State: 93:[96, 3], Operations: ['57-24=33', '99/33=3'] Exploring Operation: 96-3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 99, 5, 55, 93 ]
91
[ "93-55=38", "5*38=190", "190-99=91" ]
Current State: 91:[99, 5, 55, 93], Operations: [] Exploring Operation: 93-55=38, Resulting Numbers: [99, 5, 38] Generated Node #2: [99, 5, 38] from Operation: 93-55=38 Current State: 91:[99, 5, 38], Operations: ['93-55=38'] Exploring Operation: 5*38=190, Resulting Numbers: [99, 190] Generated Node #3: [99, 190] from Operation: 5*38=190 Current State: 91:[99, 190], Operations: ['93-55=38', '5*38=190'] Exploring Operation: 190-99=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 86, 81, 58, 46 ]
84
[ "81-58=23", "46/23=2", "86-2=84" ]
Current State: 84:[86, 81, 58, 46], Operations: [] Exploring Operation: 81-58=23, Resulting Numbers: [86, 46, 23] Generated Node #2: [86, 46, 23] from Operation: 81-58=23 Current State: 84:[86, 46, 23], Operations: ['81-58=23'] Exploring Operation: 46/23=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 46/23=2 Current State: 84:[86, 2], Operations: ['81-58=23', '46/23=2'] Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 25, 51, 42, 28 ]
99
[ "25*51=1275", "42*28=1176", "1275-1176=99" ]
Current State: 99:[25, 51, 42, 28], Operations: [] Exploring Operation: 25*51=1275, Resulting Numbers: [42, 28, 1275] Generated Node #2: [42, 28, 1275] from Operation: 25*51=1275 Current State: 99:[42, 28, 1275], Operations: ['25*51=1275'] Exploring Operation: 42*28=1176, Resulting Numbers: [1275, 1176] Generated Node #3: [1275, 1176] from Operation: 42*28=1176 Current State: 99:[1275, 1176], Operations: ['25*51=1275', '42*28=1176'] Exploring Operation: 1275-1176=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 29, 32, 68, 67 ]
74
[ "29+32=61", "68+67=135", "135-61=74" ]
Current State: 74:[29, 32, 68, 67], Operations: [] Exploring Operation: 29+32=61, Resulting Numbers: [68, 67, 61] Generated Node #2: [68, 67, 61] from Operation: 29+32=61 Current State: 74:[68, 67, 61], Operations: ['29+32=61'] Exploring Operation: 68+67=135, Resulting Numbers: [61, 135] Generated Node #3: [61, 135] from Operation: 68+67=135 Current State: 74:[61, 135], Operations: ['29+32=61', '68+67=135'] Exploring Operation: 135-61=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 79, 80, 7, 94 ]
100
[ "80-79=1", "7+94=101", "101-1=100" ]
Current State: 100:[79, 80, 7, 94], Operations: [] Exploring Operation: 80-79=1, Resulting Numbers: [7, 94, 1] Generated Node #2: [7, 94, 1] from Operation: 80-79=1 Current State: 100:[7, 94, 1], Operations: ['80-79=1'] Exploring Operation: 7+94=101, Resulting Numbers: [1, 101] Generated Node #3: [1, 101] from Operation: 7+94=101 Current State: 100:[1, 101], Operations: ['80-79=1', '7+94=101'] Exploring Operation: 101-1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 40, 24, 9, 86 ]
71
[ "40*9=360", "360/24=15", "86-15=71" ]
Current State: 71:[40, 24, 9, 86], Operations: [] Exploring Operation: 40*9=360, Resulting Numbers: [24, 86, 360] Generated Node #2: [24, 86, 360] from Operation: 40*9=360 Current State: 71:[24, 86, 360], Operations: ['40*9=360'] Exploring Operation: 360/24=15, Resulting Numbers: [86, 15] Generated Node #3: [86, 15] from Operation: 360/24=15 Current State: 71:[86, 15], Operations: ['40*9=360', '360/24=15'] Exploring Operation: 86-15=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 44, 5, 15, 51 ]
16
[ "44-15=29", "51+29=80", "80/5=16" ]
Current State: 16:[44, 5, 15, 51], Operations: [] Exploring Operation: 44-15=29, Resulting Numbers: [5, 51, 29] Generated Node #2: [5, 51, 29] from Operation: 44-15=29 Current State: 16:[5, 51, 29], Operations: ['44-15=29'] Exploring Operation: 51+29=80, Resulting Numbers: [5, 80] Generated Node #3: [5, 80] from Operation: 51+29=80 Current State: 16:[5, 80], Operations: ['44-15=29', '51+29=80'] Exploring Operation: 80/5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 48, 51, 12, 84 ]
80
[ "51-48=3", "12/3=4", "84-4=80" ]
Current State: 80:[48, 51, 12, 84], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [12, 84, 3] Generated Node #2: [12, 84, 3] from Operation: 51-48=3 Current State: 80:[12, 84, 3], Operations: ['51-48=3'] Exploring Operation: 12/3=4, Resulting Numbers: [84, 4] Generated Node #3: [84, 4] from Operation: 12/3=4 Current State: 80:[84, 4], Operations: ['51-48=3', '12/3=4'] Exploring Operation: 84-4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 31, 28, 67, 19 ]
27
[ "31+28=59", "67+19=86", "86-59=27" ]
Current State: 27:[31, 28, 67, 19], Operations: [] Exploring Operation: 31+28=59, Resulting Numbers: [67, 19, 59] Generated Node #2: [67, 19, 59] from Operation: 31+28=59 Current State: 27:[67, 19, 59], Operations: ['31+28=59'] Exploring Operation: 67+19=86, Resulting Numbers: [59, 86] Generated Node #3: [59, 86] from Operation: 67+19=86 Current State: 27:[59, 86], Operations: ['31+28=59', '67+19=86'] Exploring Operation: 86-59=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 47, 70, 57, 88 ]
86
[ "47+70=117", "88-57=31", "117-31=86" ]
Current State: 86:[47, 70, 57, 88], Operations: [] Exploring Operation: 47+70=117, Resulting Numbers: [57, 88, 117] Generated Node #2: [57, 88, 117] from Operation: 47+70=117 Current State: 86:[57, 88, 117], Operations: ['47+70=117'] Exploring Operation: 88-57=31, Resulting Numbers: [117, 31] Generated Node #3: [117, 31] from Operation: 88-57=31 Current State: 86:[117, 31], Operations: ['47+70=117', '88-57=31'] Exploring Operation: 117-31=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 33, 15, 51, 23 ]
69
[ "33+15=48", "51-48=3", "23*3=69" ]
Current State: 69:[33, 15, 51, 23], Operations: [] Exploring Operation: 33+15=48, Resulting Numbers: [51, 23, 48] Generated Node #2: [51, 23, 48] from Operation: 33+15=48 Current State: 69:[51, 23, 48], Operations: ['33+15=48'] Exploring Operation: 51-48=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 51-48=3 Current State: 69:[23, 3], Operations: ['33+15=48', '51-48=3'] Exploring Operation: 23*3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 41, 33, 3, 92 ]
28
[ "41-33=8", "92-8=84", "84/3=28" ]
Current State: 28:[41, 33, 3, 92], Operations: [] Exploring Operation: 41-33=8, Resulting Numbers: [3, 92, 8] Generated Node #2: [3, 92, 8] from Operation: 41-33=8 Current State: 28:[3, 92, 8], Operations: ['41-33=8'] Exploring Operation: 92-8=84, Resulting Numbers: [3, 84] Generated Node #3: [3, 84] from Operation: 92-8=84 Current State: 28:[3, 84], Operations: ['41-33=8', '92-8=84'] Exploring Operation: 84/3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4