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
[ 63, 6, 61, 46 ]
72
[ "63-6=57", "61-46=15", "57+15=72" ]
Current State: 72:[63, 6, 61, 46], Operations: [] Exploring Operation: 63-6=57, Resulting Numbers: [61, 46, 57] Generated Node #2: [61, 46, 57] from Operation: 63-6=57 Current State: 72:[61, 46, 57], Operations: ['63-6=57'] Exploring Operation: 61-46=15, Resulting Numbers: [57, 15] Generated Node #3: [57, 15] from Operation: 61-46=15 Current State: 72:[57, 15], Operations: ['63-6=57', '61-46=15'] Exploring Operation: 57+15=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 9, 4, 71, 62 ]
27
[ "9*4=36", "71-62=9", "36-9=27" ]
Current State: 27:[9, 4, 71, 62], Operations: [] Exploring Operation: 9*4=36, Resulting Numbers: [71, 62, 36] Generated Node #2: [71, 62, 36] from Operation: 9*4=36 Current State: 27:[71, 62, 36], Operations: ['9*4=36'] Exploring Operation: 71-62=9, Resulting Numbers: [36, 9] Generated Node #3: [36, 9] from Operation: 71-62=9 Current State: 27:[36, 9], Operations: ['9*4=36', '71-62=9'] Exploring Operation: 36-9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 14, 80, 33, 25 ]
32
[ "33-25=8", "14*8=112", "112-80=32" ]
Current State: 32:[14, 80, 33, 25], Operations: [] Exploring Operation: 33-25=8, Resulting Numbers: [14, 80, 8] Generated Node #2: [14, 80, 8] from Operation: 33-25=8 Current State: 32:[14, 80, 8], Operations: ['33-25=8'] Exploring Operation: 14*8=112, Resulting Numbers: [80, 112] Generated Node #3: [80, 112] from Operation: 14*8=112 Current State: 32:[80, 112], Operations: ['33-25=8', '14*8=112'] Exploring Operation: 112-80=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 93, 14, 9, 96 ]
41
[ "96-93=3", "9*3=27", "14+27=41" ]
Current State: 41:[93, 14, 9, 96], Operations: [] Exploring Operation: 96-93=3, Resulting Numbers: [14, 9, 3] Generated Node #2: [14, 9, 3] from Operation: 96-93=3 Current State: 41:[14, 9, 3], Operations: ['96-93=3'] Exploring Operation: 9*3=27, Resulting Numbers: [14, 27] Generated Node #3: [14, 27] from Operation: 9*3=27 Current State: 41:[14, 27], Operations: ['96-93=3', '9*3=27'] Exploring Operation: 14+27=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 2, 55, 83, 59 ]
77
[ "55-2=53", "83-59=24", "53+24=77" ]
Current State: 77:[2, 55, 83, 59], Operations: [] Exploring Operation: 55-2=53, Resulting Numbers: [83, 59, 53] Generated Node #2: [83, 59, 53] from Operation: 55-2=53 Current State: 77:[83, 59, 53], Operations: ['55-2=53'] Exploring Operation: 83-59=24, Resulting Numbers: [53, 24] Generated Node #3: [53, 24] from Operation: 83-59=24 Current State: 77:[53, 24], Operations: ['55-2=53', '83-59=24'] Exploring Operation: 53+24=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 49, 3, 10, 60 ]
63
[ "49-10=39", "60-39=21", "3*21=63" ]
Current State: 63:[49, 3, 10, 60], Operations: [] Exploring Operation: 49-10=39, Resulting Numbers: [3, 60, 39] Generated Node #2: [3, 60, 39] from Operation: 49-10=39 Current State: 63:[3, 60, 39], Operations: ['49-10=39'] Exploring Operation: 60-39=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 60-39=21 Current State: 63:[3, 21], Operations: ['49-10=39', '60-39=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 42, 11, 26, 11 ]
69
[ "42+26=68", "11/11=1", "68+1=69" ]
Current State: 69:[42, 11, 26, 11], Operations: [] Exploring Operation: 42+26=68, Resulting Numbers: [11, 11, 68] Generated Node #2: [11, 11, 68] from Operation: 42+26=68 Current State: 69:[11, 11, 68], Operations: ['42+26=68'] Exploring Operation: 11/11=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 11/11=1 Current State: 69:[68, 1], Operations: ['42+26=68', '11/11=1'] Exploring Operation: 68+1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 21, 96, 2, 57 ]
30
[ "21+96=117", "117-57=60", "60/2=30" ]
Current State: 30:[21, 96, 2, 57], Operations: [] Exploring Operation: 21+96=117, Resulting Numbers: [2, 57, 117] Generated Node #2: [2, 57, 117] from Operation: 21+96=117 Current State: 30:[2, 57, 117], Operations: ['21+96=117'] Exploring Operation: 117-57=60, Resulting Numbers: [2, 60] Generated Node #3: [2, 60] from Operation: 117-57=60 Current State: 30:[2, 60], Operations: ['21+96=117', '117-57=60'] Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 25, 79, 29, 61 ]
86
[ "79-25=54", "61-29=32", "54+32=86" ]
Current State: 86:[25, 79, 29, 61], Operations: [] Exploring Operation: 79-25=54, Resulting Numbers: [29, 61, 54] Generated Node #2: [29, 61, 54] from Operation: 79-25=54 Current State: 86:[29, 61, 54], Operations: ['79-25=54'] Exploring Operation: 61-29=32, Resulting Numbers: [54, 32] Generated Node #3: [54, 32] from Operation: 61-29=32 Current State: 86:[54, 32], Operations: ['79-25=54', '61-29=32'] Exploring Operation: 54+32=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 1, 52, 66, 49 ]
36
[ "1+52=53", "66-49=17", "53-17=36" ]
Current State: 36:[1, 52, 66, 49], Operations: [] Exploring Operation: 1+52=53, Resulting Numbers: [66, 49, 53] Generated Node #2: [66, 49, 53] from Operation: 1+52=53 Current State: 36:[66, 49, 53], Operations: ['1+52=53'] Exploring Operation: 66-49=17, Resulting Numbers: [53, 17] Generated Node #3: [53, 17] from Operation: 66-49=17 Current State: 36:[53, 17], Operations: ['1+52=53', '66-49=17'] Exploring Operation: 53-17=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 66, 83, 41, 68 ]
21
[ "68-66=2", "83-41=42", "42/2=21" ]
Current State: 21:[66, 83, 41, 68], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [83, 41, 2] Generated Node #2: [83, 41, 2] from Operation: 68-66=2 Current State: 21:[83, 41, 2], Operations: ['68-66=2'] Exploring Operation: 83-41=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 83-41=42 Current State: 21:[2, 42], Operations: ['68-66=2', '83-41=42'] Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 35, 89, 21, 11 ]
45
[ "89+21=110", "110/11=10", "35+10=45" ]
Current State: 45:[35, 89, 21, 11], Operations: [] Exploring Operation: 89+21=110, Resulting Numbers: [35, 11, 110] Generated Node #2: [35, 11, 110] from Operation: 89+21=110 Current State: 45:[35, 11, 110], Operations: ['89+21=110'] Exploring Operation: 110/11=10, Resulting Numbers: [35, 10] Generated Node #3: [35, 10] from Operation: 110/11=10 Current State: 45:[35, 10], Operations: ['89+21=110', '110/11=10'] Exploring Operation: 35+10=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 9, 15, 81, 73 ]
49
[ "81/9=9", "73-15=58", "58-9=49" ]
Current State: 49:[9, 15, 81, 73], Operations: [] Exploring Operation: 81/9=9, Resulting Numbers: [15, 73, 9] Generated Node #2: [15, 73, 9] from Operation: 81/9=9 Current State: 49:[15, 73, 9], Operations: ['81/9=9'] Exploring Operation: 73-15=58, Resulting Numbers: [9, 58] Generated Node #3: [9, 58] from Operation: 73-15=58 Current State: 49:[9, 58], Operations: ['81/9=9', '73-15=58'] Exploring Operation: 58-9=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 21, 75, 32, 56 ]
34
[ "75-21=54", "32+56=88", "88-54=34" ]
Current State: 34:[21, 75, 32, 56], Operations: [] Exploring Operation: 75-21=54, Resulting Numbers: [32, 56, 54] Generated Node #2: [32, 56, 54] from Operation: 75-21=54 Current State: 34:[32, 56, 54], Operations: ['75-21=54'] Exploring Operation: 32+56=88, Resulting Numbers: [54, 88] Generated Node #3: [54, 88] from Operation: 32+56=88 Current State: 34:[54, 88], Operations: ['75-21=54', '32+56=88'] Exploring Operation: 88-54=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 4, 40, 95, 48 ]
37
[ "40/4=10", "95-48=47", "47-10=37" ]
Current State: 37:[4, 40, 95, 48], Operations: [] Exploring Operation: 40/4=10, Resulting Numbers: [95, 48, 10] Generated Node #2: [95, 48, 10] from Operation: 40/4=10 Current State: 37:[95, 48, 10], Operations: ['40/4=10'] Exploring Operation: 95-48=47, Resulting Numbers: [10, 47] Generated Node #3: [10, 47] from Operation: 95-48=47 Current State: 37:[10, 47], Operations: ['40/4=10', '95-48=47'] Exploring Operation: 47-10=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 81, 14, 65, 10 ]
40
[ "81+14=95", "65-10=55", "95-55=40" ]
Current State: 40:[81, 14, 65, 10], Operations: [] Exploring Operation: 81+14=95, Resulting Numbers: [65, 10, 95] Generated Node #2: [65, 10, 95] from Operation: 81+14=95 Current State: 40:[65, 10, 95], Operations: ['81+14=95'] Exploring Operation: 65-10=55, Resulting Numbers: [95, 55] Generated Node #3: [95, 55] from Operation: 65-10=55 Current State: 40:[95, 55], Operations: ['81+14=95', '65-10=55'] Exploring Operation: 95-55=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 36, 45, 74, 44 ]
38
[ "74-36=38", "45-44=1", "38*1=38" ]
Current State: 38:[36, 45, 74, 44], Operations: [] Exploring Operation: 74-36=38, Resulting Numbers: [45, 44, 38] Generated Node #2: [45, 44, 38] from Operation: 74-36=38 Current State: 38:[45, 44, 38], Operations: ['74-36=38'] Exploring Operation: 45-44=1, Resulting Numbers: [38, 1] Generated Node #3: [38, 1] from Operation: 45-44=1 Current State: 38:[38, 1], Operations: ['74-36=38', '45-44=1'] Exploring Operation: 38*1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 72, 55, 21, 3 ]
35
[ "72-55=17", "21-3=18", "17+18=35" ]
Current State: 35:[72, 55, 21, 3], Operations: [] Exploring Operation: 72-55=17, Resulting Numbers: [21, 3, 17] Generated Node #2: [21, 3, 17] from Operation: 72-55=17 Current State: 35:[21, 3, 17], Operations: ['72-55=17'] Exploring Operation: 21-3=18, Resulting Numbers: [17, 18] Generated Node #3: [17, 18] from Operation: 21-3=18 Current State: 35:[17, 18], Operations: ['72-55=17', '21-3=18'] Exploring Operation: 17+18=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 62, 63, 56, 19 ]
88
[ "62+63=125", "56-19=37", "125-37=88" ]
Current State: 88:[62, 63, 56, 19], Operations: [] Exploring Operation: 62+63=125, Resulting Numbers: [56, 19, 125] Generated Node #2: [56, 19, 125] from Operation: 62+63=125 Current State: 88:[56, 19, 125], Operations: ['62+63=125'] Exploring Operation: 56-19=37, Resulting Numbers: [125, 37] Generated Node #3: [125, 37] from Operation: 56-19=37 Current State: 88:[125, 37], Operations: ['62+63=125', '56-19=37'] Exploring Operation: 125-37=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 83, 35, 85, 10 ]
23
[ "83+35=118", "85+10=95", "118-95=23" ]
Current State: 23:[83, 35, 85, 10], Operations: [] Exploring Operation: 83+35=118, Resulting Numbers: [85, 10, 118] Generated Node #2: [85, 10, 118] from Operation: 83+35=118 Current State: 23:[85, 10, 118], Operations: ['83+35=118'] Exploring Operation: 85+10=95, Resulting Numbers: [118, 95] Generated Node #3: [118, 95] from Operation: 85+10=95 Current State: 23:[118, 95], Operations: ['83+35=118', '85+10=95'] Exploring Operation: 118-95=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 62, 41, 90, 31 ]
44
[ "62+41=103", "90-31=59", "103-59=44" ]
Current State: 44:[62, 41, 90, 31], Operations: [] Exploring Operation: 62+41=103, Resulting Numbers: [90, 31, 103] Generated Node #2: [90, 31, 103] from Operation: 62+41=103 Current State: 44:[90, 31, 103], Operations: ['62+41=103'] Exploring Operation: 90-31=59, Resulting Numbers: [103, 59] Generated Node #3: [103, 59] from Operation: 90-31=59 Current State: 44:[103, 59], Operations: ['62+41=103', '90-31=59'] Exploring Operation: 103-59=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 56, 8, 46, 9 ]
23
[ "56/8=7", "9-7=2", "46/2=23" ]
Current State: 23:[56, 8, 46, 9], Operations: [] Exploring Operation: 56/8=7, Resulting Numbers: [46, 9, 7] Generated Node #2: [46, 9, 7] from Operation: 56/8=7 Current State: 23:[46, 9, 7], Operations: ['56/8=7'] Exploring Operation: 9-7=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 9-7=2 Current State: 23:[46, 2], Operations: ['56/8=7', '9-7=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 93, 17, 79, 66 ]
89
[ "93-17=76", "79-66=13", "76+13=89" ]
Current State: 89:[93, 17, 79, 66], Operations: [] Exploring Operation: 93-17=76, Resulting Numbers: [79, 66, 76] Generated Node #2: [79, 66, 76] from Operation: 93-17=76 Current State: 89:[79, 66, 76], Operations: ['93-17=76'] Exploring Operation: 79-66=13, Resulting Numbers: [76, 13] Generated Node #3: [76, 13] from Operation: 79-66=13 Current State: 89:[76, 13], Operations: ['93-17=76', '79-66=13'] Exploring Operation: 76+13=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 69, 52, 2, 1 ]
85
[ "69*2=138", "52+1=53", "138-53=85" ]
Current State: 85:[69, 52, 2, 1], Operations: [] Exploring Operation: 69*2=138, Resulting Numbers: [52, 1, 138] Generated Node #2: [52, 1, 138] from Operation: 69*2=138 Current State: 85:[52, 1, 138], Operations: ['69*2=138'] Exploring Operation: 52+1=53, Resulting Numbers: [138, 53] Generated Node #3: [138, 53] from Operation: 52+1=53 Current State: 85:[138, 53], Operations: ['69*2=138', '52+1=53'] Exploring Operation: 138-53=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 60, 90, 39, 15 ]
49
[ "60+90=150", "150/15=10", "39+10=49" ]
Current State: 49:[60, 90, 39, 15], Operations: [] Exploring Operation: 60+90=150, Resulting Numbers: [39, 15, 150] Generated Node #2: [39, 15, 150] from Operation: 60+90=150 Current State: 49:[39, 15, 150], Operations: ['60+90=150'] Exploring Operation: 150/15=10, Resulting Numbers: [39, 10] Generated Node #3: [39, 10] from Operation: 150/15=10 Current State: 49:[39, 10], Operations: ['60+90=150', '150/15=10'] Exploring Operation: 39+10=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 96, 84, 58, 99 ]
23
[ "96+84=180", "58+99=157", "180-157=23" ]
Current State: 23:[96, 84, 58, 99], Operations: [] Exploring Operation: 96+84=180, Resulting Numbers: [58, 99, 180] Generated Node #2: [58, 99, 180] from Operation: 96+84=180 Current State: 23:[58, 99, 180], Operations: ['96+84=180'] Exploring Operation: 58+99=157, Resulting Numbers: [180, 157] Generated Node #3: [180, 157] from Operation: 58+99=157 Current State: 23:[180, 157], Operations: ['96+84=180', '58+99=157'] Exploring Operation: 180-157=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 91, 6, 54, 79 ]
11
[ "91+54=145", "145-79=66", "66/6=11" ]
Current State: 11:[91, 6, 54, 79], Operations: [] Exploring Operation: 91+54=145, Resulting Numbers: [6, 79, 145] Generated Node #2: [6, 79, 145] from Operation: 91+54=145 Current State: 11:[6, 79, 145], Operations: ['91+54=145'] Exploring Operation: 145-79=66, Resulting Numbers: [6, 66] Generated Node #3: [6, 66] from Operation: 145-79=66 Current State: 11:[6, 66], Operations: ['91+54=145', '145-79=66'] Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 66, 34, 61, 88 ]
82
[ "66-61=5", "34*5=170", "170-88=82" ]
Current State: 82:[66, 34, 61, 88], Operations: [] Exploring Operation: 66-61=5, Resulting Numbers: [34, 88, 5] Generated Node #2: [34, 88, 5] from Operation: 66-61=5 Current State: 82:[34, 88, 5], Operations: ['66-61=5'] Exploring Operation: 34*5=170, Resulting Numbers: [88, 170] Generated Node #3: [88, 170] from Operation: 34*5=170 Current State: 82:[88, 170], Operations: ['66-61=5', '34*5=170'] Exploring Operation: 170-88=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 26, 32, 58, 19 ]
56
[ "32-26=6", "19*6=114", "114-58=56" ]
Current State: 56:[26, 32, 58, 19], Operations: [] Exploring Operation: 32-26=6, Resulting Numbers: [58, 19, 6] Generated Node #2: [58, 19, 6] from Operation: 32-26=6 Current State: 56:[58, 19, 6], Operations: ['32-26=6'] Exploring Operation: 19*6=114, Resulting Numbers: [58, 114] Generated Node #3: [58, 114] from Operation: 19*6=114 Current State: 56:[58, 114], Operations: ['32-26=6', '19*6=114'] Exploring Operation: 114-58=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 60, 2, 12, 24 ]
31
[ "60+2=62", "24/12=2", "62/2=31" ]
Current State: 31:[60, 2, 12, 24], Operations: [] Exploring Operation: 60+2=62, Resulting Numbers: [12, 24, 62] Generated Node #2: [12, 24, 62] from Operation: 60+2=62 Current State: 31:[12, 24, 62], Operations: ['60+2=62'] Exploring Operation: 24/12=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 24/12=2 Current State: 31:[62, 2], Operations: ['60+2=62', '24/12=2'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 96, 25, 9, 90 ]
40
[ "96+25=121", "90-9=81", "121-81=40" ]
Current State: 40:[96, 25, 9, 90], Operations: [] Exploring Operation: 96+25=121, Resulting Numbers: [9, 90, 121] Generated Node #2: [9, 90, 121] from Operation: 96+25=121 Current State: 40:[9, 90, 121], Operations: ['96+25=121'] Exploring Operation: 90-9=81, Resulting Numbers: [121, 81] Generated Node #3: [121, 81] from Operation: 90-9=81 Current State: 40:[121, 81], Operations: ['96+25=121', '90-9=81'] Exploring Operation: 121-81=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 40, 13, 13, 75 ]
61
[ "40-13=27", "13+75=88", "88-27=61" ]
Current State: 61:[40, 13, 13, 75], Operations: [] Exploring Operation: 40-13=27, Resulting Numbers: [75, 27] Generated Node #2: [75, 27] from Operation: 40-13=27 Current State: 61:[75, 27], Operations: ['40-13=27'] Exploring Operation: 13+75=88, Resulting Numbers: [27, 88] Generated Node #3: [27, 88] from Operation: 13+75=88 Current State: 61:[27, 88], Operations: ['40-13=27', '13+75=88'] Exploring Operation: 88-27=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 39, 68, 73, 18 ]
52
[ "39+68=107", "73-18=55", "107-55=52" ]
Current State: 52:[39, 68, 73, 18], Operations: [] Exploring Operation: 39+68=107, Resulting Numbers: [73, 18, 107] Generated Node #2: [73, 18, 107] from Operation: 39+68=107 Current State: 52:[73, 18, 107], Operations: ['39+68=107'] Exploring Operation: 73-18=55, Resulting Numbers: [107, 55] Generated Node #3: [107, 55] from Operation: 73-18=55 Current State: 52:[107, 55], Operations: ['39+68=107', '73-18=55'] Exploring Operation: 107-55=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 3, 10, 10, 4 ]
75
[ "3*10=30", "10*30=300", "300/4=75" ]
Current State: 75:[3, 10, 10, 4], Operations: [] Exploring Operation: 3*10=30, Resulting Numbers: [4, 30] Generated Node #2: [4, 30] from Operation: 3*10=30 Current State: 75:[4, 30], Operations: ['3*10=30'] Exploring Operation: 10*30=300, Resulting Numbers: [4, 300] Generated Node #3: [4, 300] from Operation: 10*30=300 Current State: 75:[4, 300], Operations: ['3*10=30', '10*30=300'] Exploring Operation: 300/4=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 39, 66, 51, 42 ]
12
[ "39+66=105", "51+42=93", "105-93=12" ]
Current State: 12:[39, 66, 51, 42], Operations: [] Exploring Operation: 39+66=105, Resulting Numbers: [51, 42, 105] Generated Node #2: [51, 42, 105] from Operation: 39+66=105 Current State: 12:[51, 42, 105], Operations: ['39+66=105'] Exploring Operation: 51+42=93, Resulting Numbers: [105, 93] Generated Node #3: [105, 93] from Operation: 51+42=93 Current State: 12:[105, 93], Operations: ['39+66=105', '51+42=93'] Exploring Operation: 105-93=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 15, 23, 48, 19 ]
11
[ "19-15=4", "48/4=12", "23-12=11" ]
Current State: 11:[15, 23, 48, 19], Operations: [] Exploring Operation: 19-15=4, Resulting Numbers: [23, 48, 4] Generated Node #2: [23, 48, 4] from Operation: 19-15=4 Current State: 11:[23, 48, 4], Operations: ['19-15=4'] Exploring Operation: 48/4=12, Resulting Numbers: [23, 12] Generated Node #3: [23, 12] from Operation: 48/4=12 Current State: 11:[23, 12], Operations: ['19-15=4', '48/4=12'] Exploring Operation: 23-12=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 88, 11, 92, 2 ]
62
[ "88-11=77", "2*77=154", "154-92=62" ]
Current State: 62:[88, 11, 92, 2], Operations: [] Exploring Operation: 88-11=77, Resulting Numbers: [92, 2, 77] Generated Node #2: [92, 2, 77] from Operation: 88-11=77 Current State: 62:[92, 2, 77], Operations: ['88-11=77'] Exploring Operation: 2*77=154, Resulting Numbers: [92, 154] Generated Node #3: [92, 154] from Operation: 2*77=154 Current State: 62:[92, 154], Operations: ['88-11=77', '2*77=154'] Exploring Operation: 154-92=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 15, 93, 74, 77 ]
26
[ "93-15=78", "77-74=3", "78/3=26" ]
Current State: 26:[15, 93, 74, 77], Operations: [] Exploring Operation: 93-15=78, Resulting Numbers: [74, 77, 78] Generated Node #2: [74, 77, 78] from Operation: 93-15=78 Current State: 26:[74, 77, 78], Operations: ['93-15=78'] Exploring Operation: 77-74=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 77-74=3 Current State: 26:[78, 3], Operations: ['93-15=78', '77-74=3'] Exploring Operation: 78/3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 48, 48, 54, 57 ]
15
[ "48+48=96", "54+57=111", "111-96=15" ]
Current State: 15:[48, 48, 54, 57], Operations: [] Exploring Operation: 48+48=96, Resulting Numbers: [54, 57, 96] Generated Node #2: [54, 57, 96] from Operation: 48+48=96 Current State: 15:[54, 57, 96], Operations: ['48+48=96'] Exploring Operation: 54+57=111, Resulting Numbers: [96, 111] Generated Node #3: [96, 111] from Operation: 54+57=111 Current State: 15:[96, 111], Operations: ['48+48=96', '54+57=111'] Exploring Operation: 111-96=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 33, 29, 83, 58 ]
87
[ "33+29=62", "83-58=25", "62+25=87" ]
Current State: 87:[33, 29, 83, 58], Operations: [] Exploring Operation: 33+29=62, Resulting Numbers: [83, 58, 62] Generated Node #2: [83, 58, 62] from Operation: 33+29=62 Current State: 87:[83, 58, 62], Operations: ['33+29=62'] Exploring Operation: 83-58=25, Resulting Numbers: [62, 25] Generated Node #3: [62, 25] from Operation: 83-58=25 Current State: 87:[62, 25], Operations: ['33+29=62', '83-58=25'] Exploring Operation: 62+25=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 57, 6, 10, 62 ]
90
[ "57-10=47", "62-47=15", "6*15=90" ]
Current State: 90:[57, 6, 10, 62], Operations: [] Exploring Operation: 57-10=47, Resulting Numbers: [6, 62, 47] Generated Node #2: [6, 62, 47] from Operation: 57-10=47 Current State: 90:[6, 62, 47], Operations: ['57-10=47'] Exploring Operation: 62-47=15, Resulting Numbers: [6, 15] Generated Node #3: [6, 15] from Operation: 62-47=15 Current State: 90:[6, 15], Operations: ['57-10=47', '62-47=15'] Exploring Operation: 6*15=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 14, 14, 34, 99 ]
99
[ "14-14=0", "34*0=0", "99+0=99" ]
Current State: 99:[14, 14, 34, 99], Operations: [] Exploring Operation: 14-14=0, Resulting Numbers: [34, 99, 0] Generated Node #2: [34, 99, 0] from Operation: 14-14=0 Current State: 99:[34, 99, 0], Operations: ['14-14=0'] Exploring Operation: 34*0=0, Resulting Numbers: [99, 0] Generated Node #3: [99, 0] from Operation: 34*0=0 Current State: 99:[99, 0], Operations: ['14-14=0', '34*0=0'] Exploring Operation: 99+0=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 16, 11, 36, 7 ]
70
[ "16+11=27", "36+7=43", "27+43=70" ]
Current State: 70:[16, 11, 36, 7], Operations: [] Exploring Operation: 16+11=27, Resulting Numbers: [36, 7, 27] Generated Node #2: [36, 7, 27] from Operation: 16+11=27 Current State: 70:[36, 7, 27], Operations: ['16+11=27'] Exploring Operation: 36+7=43, Resulting Numbers: [27, 43] Generated Node #3: [27, 43] from Operation: 36+7=43 Current State: 70:[27, 43], Operations: ['16+11=27', '36+7=43'] Exploring Operation: 27+43=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 65, 1, 70, 9 ]
58
[ "1+9=10", "70/10=7", "65-7=58" ]
Current State: 58:[65, 1, 70, 9], Operations: [] Exploring Operation: 1+9=10, Resulting Numbers: [65, 70, 10] Generated Node #2: [65, 70, 10] from Operation: 1+9=10 Current State: 58:[65, 70, 10], Operations: ['1+9=10'] Exploring Operation: 70/10=7, Resulting Numbers: [65, 7] Generated Node #3: [65, 7] from Operation: 70/10=7 Current State: 58:[65, 7], Operations: ['1+9=10', '70/10=7'] Exploring Operation: 65-7=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 23, 25, 92, 3 ]
87
[ "25-23=2", "92-3=89", "89-2=87" ]
Current State: 87:[23, 25, 92, 3], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [92, 3, 2] Generated Node #2: [92, 3, 2] from Operation: 25-23=2 Current State: 87:[92, 3, 2], Operations: ['25-23=2'] Exploring Operation: 92-3=89, Resulting Numbers: [2, 89] Generated Node #3: [2, 89] from Operation: 92-3=89 Current State: 87:[2, 89], Operations: ['25-23=2', '92-3=89'] Exploring Operation: 89-2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 90, 5, 34, 74 ]
46
[ "90-74=16", "5*16=80", "80-34=46" ]
Current State: 46:[90, 5, 34, 74], Operations: [] Exploring Operation: 90-74=16, Resulting Numbers: [5, 34, 16] Generated Node #2: [5, 34, 16] from Operation: 90-74=16 Current State: 46:[5, 34, 16], Operations: ['90-74=16'] Exploring Operation: 5*16=80, Resulting Numbers: [34, 80] Generated Node #3: [34, 80] from Operation: 5*16=80 Current State: 46:[34, 80], Operations: ['90-74=16', '5*16=80'] Exploring Operation: 80-34=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 21, 84, 35, 92 ]
61
[ "84/21=4", "92-35=57", "4+57=61" ]
Current State: 61:[21, 84, 35, 92], Operations: [] Exploring Operation: 84/21=4, Resulting Numbers: [35, 92, 4] Generated Node #2: [35, 92, 4] from Operation: 84/21=4 Current State: 61:[35, 92, 4], Operations: ['84/21=4'] Exploring Operation: 92-35=57, Resulting Numbers: [4, 57] Generated Node #3: [4, 57] from Operation: 92-35=57 Current State: 61:[4, 57], Operations: ['84/21=4', '92-35=57'] Exploring Operation: 4+57=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 28, 90, 60, 91 ]
88
[ "28+60=88", "91-90=1", "88*1=88" ]
Current State: 88:[28, 90, 60, 91], Operations: [] Exploring Operation: 28+60=88, Resulting Numbers: [90, 91, 88] Generated Node #2: [90, 91, 88] from Operation: 28+60=88 Current State: 88:[90, 91, 88], Operations: ['28+60=88'] Exploring Operation: 91-90=1, Resulting Numbers: [88, 1] Generated Node #3: [88, 1] from Operation: 91-90=1 Current State: 88:[88, 1], Operations: ['28+60=88', '91-90=1'] Exploring Operation: 88*1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 15, 9, 90, 42 ]
67
[ "15+42=57", "90/9=10", "57+10=67" ]
Current State: 67:[15, 9, 90, 42], Operations: [] Exploring Operation: 15+42=57, Resulting Numbers: [9, 90, 57] Generated Node #2: [9, 90, 57] from Operation: 15+42=57 Current State: 67:[9, 90, 57], Operations: ['15+42=57'] Exploring Operation: 90/9=10, Resulting Numbers: [57, 10] Generated Node #3: [57, 10] from Operation: 90/9=10 Current State: 67:[57, 10], Operations: ['15+42=57', '90/9=10'] Exploring Operation: 57+10=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 94, 65, 58, 7 ]
93
[ "65-58=7", "7/7=1", "94-1=93" ]
Current State: 93:[94, 65, 58, 7], Operations: [] Exploring Operation: 65-58=7, Resulting Numbers: [94, 7, 7] Generated Node #2: [94, 7, 7] from Operation: 65-58=7 Current State: 93:[94, 7, 7], Operations: ['65-58=7'] Exploring Operation: 7/7=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 7/7=1 Current State: 93:[94, 1], Operations: ['65-58=7', '7/7=1'] Exploring Operation: 94-1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 24, 62, 30, 33 ]
89
[ "24+62=86", "33-30=3", "86+3=89" ]
Current State: 89:[24, 62, 30, 33], Operations: [] Exploring Operation: 24+62=86, Resulting Numbers: [30, 33, 86] Generated Node #2: [30, 33, 86] from Operation: 24+62=86 Current State: 89:[30, 33, 86], Operations: ['24+62=86'] Exploring Operation: 33-30=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 33-30=3 Current State: 89:[86, 3], Operations: ['24+62=86', '33-30=3'] Exploring Operation: 86+3=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 24, 30, 2, 88 ]
35
[ "30+88=118", "118/2=59", "59-24=35" ]
Current State: 35:[24, 30, 2, 88], Operations: [] Exploring Operation: 30+88=118, Resulting Numbers: [24, 2, 118] Generated Node #2: [24, 2, 118] from Operation: 30+88=118 Current State: 35:[24, 2, 118], Operations: ['30+88=118'] Exploring Operation: 118/2=59, Resulting Numbers: [24, 59] Generated Node #3: [24, 59] from Operation: 118/2=59 Current State: 35:[24, 59], Operations: ['30+88=118', '118/2=59'] Exploring Operation: 59-24=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 79, 55, 39, 29 ]
92
[ "79-55=24", "39+29=68", "24+68=92" ]
Current State: 92:[79, 55, 39, 29], Operations: [] Exploring Operation: 79-55=24, Resulting Numbers: [39, 29, 24] Generated Node #2: [39, 29, 24] from Operation: 79-55=24 Current State: 92:[39, 29, 24], Operations: ['79-55=24'] Exploring Operation: 39+29=68, Resulting Numbers: [24, 68] Generated Node #3: [24, 68] from Operation: 39+29=68 Current State: 92:[24, 68], Operations: ['79-55=24', '39+29=68'] Exploring Operation: 24+68=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 47, 27, 27, 12 ]
58
[ "47+12=59", "27/27=1", "59-1=58" ]
Current State: 58:[47, 27, 27, 12], Operations: [] Exploring Operation: 47+12=59, Resulting Numbers: [27, 27, 59] Generated Node #2: [27, 27, 59] from Operation: 47+12=59 Current State: 58:[27, 27, 59], Operations: ['47+12=59'] Exploring Operation: 27/27=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 27/27=1 Current State: 58:[59, 1], Operations: ['47+12=59', '27/27=1'] Exploring Operation: 59-1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 86, 18, 58, 88 ]
67
[ "88-86=2", "18/2=9", "58+9=67" ]
Current State: 67:[86, 18, 58, 88], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [18, 58, 2] Generated Node #2: [18, 58, 2] from Operation: 88-86=2 Current State: 67:[18, 58, 2], Operations: ['88-86=2'] Exploring Operation: 18/2=9, Resulting Numbers: [58, 9] Generated Node #3: [58, 9] from Operation: 18/2=9 Current State: 67:[58, 9], Operations: ['88-86=2', '18/2=9'] Exploring Operation: 58+9=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 52, 19, 30, 33 ]
49
[ "30-19=11", "33/11=3", "52-3=49" ]
Current State: 49:[52, 19, 30, 33], Operations: [] Exploring Operation: 30-19=11, Resulting Numbers: [52, 33, 11] Generated Node #2: [52, 33, 11] from Operation: 30-19=11 Current State: 49:[52, 33, 11], Operations: ['30-19=11'] Exploring Operation: 33/11=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 33/11=3 Current State: 49:[52, 3], Operations: ['30-19=11', '33/11=3'] Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 19, 22, 91, 45 ]
44
[ "22-19=3", "45*3=135", "135-91=44" ]
Current State: 44:[19, 22, 91, 45], Operations: [] Exploring Operation: 22-19=3, Resulting Numbers: [91, 45, 3] Generated Node #2: [91, 45, 3] from Operation: 22-19=3 Current State: 44:[91, 45, 3], Operations: ['22-19=3'] Exploring Operation: 45*3=135, Resulting Numbers: [91, 135] Generated Node #3: [91, 135] from Operation: 45*3=135 Current State: 44:[91, 135], Operations: ['22-19=3', '45*3=135'] Exploring Operation: 135-91=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 35, 59, 67, 82 ]
55
[ "35+59=94", "67+82=149", "149-94=55" ]
Current State: 55:[35, 59, 67, 82], Operations: [] Exploring Operation: 35+59=94, Resulting Numbers: [67, 82, 94] Generated Node #2: [67, 82, 94] from Operation: 35+59=94 Current State: 55:[67, 82, 94], Operations: ['35+59=94'] Exploring Operation: 67+82=149, Resulting Numbers: [94, 149] Generated Node #3: [94, 149] from Operation: 67+82=149 Current State: 55:[94, 149], Operations: ['35+59=94', '67+82=149'] Exploring Operation: 149-94=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 1, 2, 46, 59 ]
74
[ "1+59=60", "2*60=120", "120-46=74" ]
Current State: 74:[1, 2, 46, 59], Operations: [] Exploring Operation: 1+59=60, Resulting Numbers: [2, 46, 60] Generated Node #2: [2, 46, 60] from Operation: 1+59=60 Current State: 74:[2, 46, 60], Operations: ['1+59=60'] Exploring Operation: 2*60=120, Resulting Numbers: [46, 120] Generated Node #3: [46, 120] from Operation: 2*60=120 Current State: 74:[46, 120], Operations: ['1+59=60', '2*60=120'] Exploring Operation: 120-46=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 29, 32, 68, 72 ]
57
[ "29+32=61", "72-68=4", "61-4=57" ]
Current State: 57:[29, 32, 68, 72], Operations: [] Exploring Operation: 29+32=61, Resulting Numbers: [68, 72, 61] Generated Node #2: [68, 72, 61] from Operation: 29+32=61 Current State: 57:[68, 72, 61], Operations: ['29+32=61'] Exploring Operation: 72-68=4, Resulting Numbers: [61, 4] Generated Node #3: [61, 4] from Operation: 72-68=4 Current State: 57:[61, 4], Operations: ['29+32=61', '72-68=4'] Exploring Operation: 61-4=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 39, 78, 32, 54 ]
95
[ "39+78=117", "54-32=22", "117-22=95" ]
Current State: 95:[39, 78, 32, 54], Operations: [] Exploring Operation: 39+78=117, Resulting Numbers: [32, 54, 117] Generated Node #2: [32, 54, 117] from Operation: 39+78=117 Current State: 95:[32, 54, 117], Operations: ['39+78=117'] Exploring Operation: 54-32=22, Resulting Numbers: [117, 22] Generated Node #3: [117, 22] from Operation: 54-32=22 Current State: 95:[117, 22], Operations: ['39+78=117', '54-32=22'] Exploring Operation: 117-22=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 69, 4, 68, 51 ]
72
[ "68/4=17", "51/17=3", "69+3=72" ]
Current State: 72:[69, 4, 68, 51], Operations: [] Exploring Operation: 68/4=17, Resulting Numbers: [69, 51, 17] Generated Node #2: [69, 51, 17] from Operation: 68/4=17 Current State: 72:[69, 51, 17], Operations: ['68/4=17'] Exploring Operation: 51/17=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 51/17=3 Current State: 72:[69, 3], Operations: ['68/4=17', '51/17=3'] Exploring Operation: 69+3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 84, 68, 4, 46 ]
50
[ "84-68=16", "16/4=4", "46+4=50" ]
Current State: 50:[84, 68, 4, 46], Operations: [] Exploring Operation: 84-68=16, Resulting Numbers: [4, 46, 16] Generated Node #2: [4, 46, 16] from Operation: 84-68=16 Current State: 50:[4, 46, 16], Operations: ['84-68=16'] Exploring Operation: 16/4=4, Resulting Numbers: [46, 4] Generated Node #3: [46, 4] from Operation: 16/4=4 Current State: 50:[46, 4], Operations: ['84-68=16', '16/4=4'] Exploring Operation: 46+4=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 75, 70, 26, 56 ]
25
[ "75-70=5", "56-26=30", "30-5=25" ]
Current State: 25:[75, 70, 26, 56], Operations: [] Exploring Operation: 75-70=5, Resulting Numbers: [26, 56, 5] Generated Node #2: [26, 56, 5] from Operation: 75-70=5 Current State: 25:[26, 56, 5], Operations: ['75-70=5'] Exploring Operation: 56-26=30, Resulting Numbers: [5, 30] Generated Node #3: [5, 30] from Operation: 56-26=30 Current State: 25:[5, 30], Operations: ['75-70=5', '56-26=30'] Exploring Operation: 30-5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 11, 53, 95, 8 ]
10
[ "11+95=106", "106/53=2", "8+2=10" ]
Current State: 10:[11, 53, 95, 8], Operations: [] Exploring Operation: 11+95=106, Resulting Numbers: [53, 8, 106] Generated Node #2: [53, 8, 106] from Operation: 11+95=106 Current State: 10:[53, 8, 106], Operations: ['11+95=106'] Exploring Operation: 106/53=2, Resulting Numbers: [8, 2] Generated Node #3: [8, 2] from Operation: 106/53=2 Current State: 10:[8, 2], Operations: ['11+95=106', '106/53=2'] Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 70, 22, 77, 75 ]
94
[ "70+22=92", "77-75=2", "92+2=94" ]
Current State: 94:[70, 22, 77, 75], Operations: [] Exploring Operation: 70+22=92, Resulting Numbers: [77, 75, 92] Generated Node #2: [77, 75, 92] from Operation: 70+22=92 Current State: 94:[77, 75, 92], Operations: ['70+22=92'] Exploring Operation: 77-75=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 77-75=2 Current State: 94:[92, 2], Operations: ['70+22=92', '77-75=2'] Exploring Operation: 92+2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 35, 70, 74, 11 ]
28
[ "70-35=35", "74-11=63", "63-35=28" ]
Current State: 28:[35, 70, 74, 11], Operations: [] Exploring Operation: 70-35=35, Resulting Numbers: [74, 11, 35] Generated Node #2: [74, 11, 35] from Operation: 70-35=35 Current State: 28:[74, 11, 35], Operations: ['70-35=35'] Exploring Operation: 74-11=63, Resulting Numbers: [35, 63] Generated Node #3: [35, 63] from Operation: 74-11=63 Current State: 28:[35, 63], Operations: ['70-35=35', '74-11=63'] Exploring Operation: 63-35=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 37, 95, 83, 15 ]
64
[ "37+95=132", "83-15=68", "132-68=64" ]
Current State: 64:[37, 95, 83, 15], Operations: [] Exploring Operation: 37+95=132, Resulting Numbers: [83, 15, 132] Generated Node #2: [83, 15, 132] from Operation: 37+95=132 Current State: 64:[83, 15, 132], Operations: ['37+95=132'] Exploring Operation: 83-15=68, Resulting Numbers: [132, 68] Generated Node #3: [132, 68] from Operation: 83-15=68 Current State: 64:[132, 68], Operations: ['37+95=132', '83-15=68'] Exploring Operation: 132-68=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 58, 63, 65, 18 ]
88
[ "63-58=5", "65+18=83", "5+83=88" ]
Current State: 88:[58, 63, 65, 18], Operations: [] Exploring Operation: 63-58=5, Resulting Numbers: [65, 18, 5] Generated Node #2: [65, 18, 5] from Operation: 63-58=5 Current State: 88:[65, 18, 5], Operations: ['63-58=5'] Exploring Operation: 65+18=83, Resulting Numbers: [5, 83] Generated Node #3: [5, 83] from Operation: 65+18=83 Current State: 88:[5, 83], Operations: ['63-58=5', '65+18=83'] Exploring Operation: 5+83=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 65, 55, 48, 16 ]
30
[ "65-55=10", "48/16=3", "10*3=30" ]
Current State: 30:[65, 55, 48, 16], Operations: [] Exploring Operation: 65-55=10, Resulting Numbers: [48, 16, 10] Generated Node #2: [48, 16, 10] from Operation: 65-55=10 Current State: 30:[48, 16, 10], Operations: ['65-55=10'] Exploring Operation: 48/16=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 48/16=3 Current State: 30:[10, 3], Operations: ['65-55=10', '48/16=3'] Exploring Operation: 10*3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 21, 85, 6, 67 ]
63
[ "85-67=18", "21*18=378", "378/6=63" ]
Current State: 63:[21, 85, 6, 67], Operations: [] Exploring Operation: 85-67=18, Resulting Numbers: [21, 6, 18] Generated Node #2: [21, 6, 18] from Operation: 85-67=18 Current State: 63:[21, 6, 18], Operations: ['85-67=18'] Exploring Operation: 21*18=378, Resulting Numbers: [6, 378] Generated Node #3: [6, 378] from Operation: 21*18=378 Current State: 63:[6, 378], Operations: ['85-67=18', '21*18=378'] Exploring Operation: 378/6=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 36, 71, 7, 35 ]
40
[ "71-36=35", "35/7=5", "35+5=40" ]
Current State: 40:[36, 71, 7, 35], Operations: [] Exploring Operation: 71-36=35, Resulting Numbers: [7, 35, 35] Generated Node #2: [7, 35, 35] from Operation: 71-36=35 Current State: 40:[7, 35, 35], Operations: ['71-36=35'] Exploring Operation: 35/7=5, Resulting Numbers: [5] 5,40 equal: Goal Reached Exploring Operation: 35+5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 93, 43, 54, 52 ]
68
[ "93+43=136", "54-52=2", "136/2=68" ]
Current State: 68:[93, 43, 54, 52], Operations: [] Exploring Operation: 93+43=136, Resulting Numbers: [54, 52, 136] Generated Node #2: [54, 52, 136] from Operation: 93+43=136 Current State: 68:[54, 52, 136], Operations: ['93+43=136'] Exploring Operation: 54-52=2, Resulting Numbers: [136, 2] Generated Node #3: [136, 2] from Operation: 54-52=2 Current State: 68:[136, 2], Operations: ['93+43=136', '54-52=2'] Exploring Operation: 136/2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 20, 38, 16, 66 ]
23
[ "38-16=22", "66/22=3", "20+3=23" ]
Current State: 23:[20, 38, 16, 66], Operations: [] Exploring Operation: 38-16=22, Resulting Numbers: [20, 66, 22] Generated Node #2: [20, 66, 22] from Operation: 38-16=22 Current State: 23:[20, 66, 22], Operations: ['38-16=22'] Exploring Operation: 66/22=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 66/22=3 Current State: 23:[20, 3], Operations: ['38-16=22', '66/22=3'] Exploring Operation: 20+3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 95, 41, 62, 81 ]
46
[ "81-62=19", "95/19=5", "41+5=46" ]
Current State: 46:[95, 41, 62, 81], Operations: [] Exploring Operation: 81-62=19, Resulting Numbers: [95, 41, 19] Generated Node #2: [95, 41, 19] from Operation: 81-62=19 Current State: 46:[95, 41, 19], Operations: ['81-62=19'] Exploring Operation: 95/19=5, Resulting Numbers: [41, 5] Generated Node #3: [41, 5] from Operation: 95/19=5 Current State: 46:[41, 5], Operations: ['81-62=19', '95/19=5'] Exploring Operation: 41+5=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 5, 2, 9, 68 ]
87
[ "5*2=10", "9+68=77", "10+77=87" ]
Current State: 87:[5, 2, 9, 68], Operations: [] Exploring Operation: 5*2=10, Resulting Numbers: [9, 68, 10] Generated Node #2: [9, 68, 10] from Operation: 5*2=10 Current State: 87:[9, 68, 10], Operations: ['5*2=10'] Exploring Operation: 9+68=77, Resulting Numbers: [10, 77] Generated Node #3: [10, 77] from Operation: 9+68=77 Current State: 87:[10, 77], Operations: ['5*2=10', '9+68=77'] Exploring Operation: 10+77=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 7, 28, 45, 14 ]
24
[ "7+28=35", "45+14=59", "59-35=24" ]
Current State: 24:[7, 28, 45, 14], Operations: [] Exploring Operation: 7+28=35, Resulting Numbers: [45, 14, 35] Generated Node #2: [45, 14, 35] from Operation: 7+28=35 Current State: 24:[45, 14, 35], Operations: ['7+28=35'] Exploring Operation: 45+14=59, Resulting Numbers: [35, 59] Generated Node #3: [35, 59] from Operation: 45+14=59 Current State: 24:[35, 59], Operations: ['7+28=35', '45+14=59'] Exploring Operation: 59-35=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 38, 1, 59, 48 ]
50
[ "38+1=39", "59-48=11", "39+11=50" ]
Current State: 50:[38, 1, 59, 48], Operations: [] Exploring Operation: 38+1=39, Resulting Numbers: [59, 48, 39] Generated Node #2: [59, 48, 39] from Operation: 38+1=39 Current State: 50:[59, 48, 39], Operations: ['38+1=39'] Exploring Operation: 59-48=11, Resulting Numbers: [39, 11] Generated Node #3: [39, 11] from Operation: 59-48=11 Current State: 50:[39, 11], Operations: ['38+1=39', '59-48=11'] Exploring Operation: 39+11=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 64, 52, 27, 56 ]
44
[ "56-52=4", "27*4=108", "108-64=44" ]
Current State: 44:[64, 52, 27, 56], Operations: [] Exploring Operation: 56-52=4, Resulting Numbers: [64, 27, 4] Generated Node #2: [64, 27, 4] from Operation: 56-52=4 Current State: 44:[64, 27, 4], Operations: ['56-52=4'] Exploring Operation: 27*4=108, Resulting Numbers: [64, 108] Generated Node #3: [64, 108] from Operation: 27*4=108 Current State: 44:[64, 108], Operations: ['56-52=4', '27*4=108'] Exploring Operation: 108-64=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 25, 87, 90, 10 ]
81
[ "25-10=15", "90/15=6", "87-6=81" ]
Current State: 81:[25, 87, 90, 10], Operations: [] Exploring Operation: 25-10=15, Resulting Numbers: [87, 90, 15] Generated Node #2: [87, 90, 15] from Operation: 25-10=15 Current State: 81:[87, 90, 15], Operations: ['25-10=15'] Exploring Operation: 90/15=6, Resulting Numbers: [87, 6] Generated Node #3: [87, 6] from Operation: 90/15=6 Current State: 81:[87, 6], Operations: ['25-10=15', '90/15=6'] Exploring Operation: 87-6=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 53, 82, 39, 45 ]
13
[ "53+82=135", "39*45=1755", "1755/135=13" ]
Current State: 13:[53, 82, 39, 45], Operations: [] Exploring Operation: 53+82=135, Resulting Numbers: [39, 45, 135] Generated Node #2: [39, 45, 135] from Operation: 53+82=135 Current State: 13:[39, 45, 135], Operations: ['53+82=135'] Exploring Operation: 39*45=1755, Resulting Numbers: [135, 1755] Generated Node #3: [135, 1755] from Operation: 39*45=1755 Current State: 13:[135, 1755], Operations: ['53+82=135', '39*45=1755'] Exploring Operation: 1755/135=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 42, 61, 42, 14 ]
100
[ "42+61=103", "42/14=3", "103-3=100" ]
Current State: 100:[42, 61, 42, 14], Operations: [] Exploring Operation: 42+61=103, Resulting Numbers: [14, 103] Generated Node #2: [14, 103] from Operation: 42+61=103 Current State: 100:[14, 103], Operations: ['42+61=103'] Exploring Operation: 42/14=3, Resulting Numbers: [103, 3] Generated Node #3: [103, 3] from Operation: 42/14=3 Current State: 100:[103, 3], Operations: ['42+61=103', '42/14=3'] Exploring Operation: 103-3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 55, 42, 5, 11 ]
100
[ "42-11=31", "5*31=155", "155-55=100" ]
Current State: 100:[55, 42, 5, 11], Operations: [] Exploring Operation: 42-11=31, Resulting Numbers: [55, 5, 31] Generated Node #2: [55, 5, 31] from Operation: 42-11=31 Current State: 100:[55, 5, 31], Operations: ['42-11=31'] Exploring Operation: 5*31=155, Resulting Numbers: [55, 155] Generated Node #3: [55, 155] from Operation: 5*31=155 Current State: 100:[55, 155], Operations: ['42-11=31', '5*31=155'] Exploring Operation: 155-55=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 44, 3, 45, 87 ]
90
[ "44*3=132", "87-45=42", "132-42=90" ]
Current State: 90:[44, 3, 45, 87], Operations: [] Exploring Operation: 44*3=132, Resulting Numbers: [45, 87, 132] Generated Node #2: [45, 87, 132] from Operation: 44*3=132 Current State: 90:[45, 87, 132], Operations: ['44*3=132'] Exploring Operation: 87-45=42, Resulting Numbers: [132, 42] Generated Node #3: [132, 42] from Operation: 87-45=42 Current State: 90:[132, 42], Operations: ['44*3=132', '87-45=42'] Exploring Operation: 132-42=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 99, 23, 3, 61 ]
91
[ "99+61=160", "23*3=69", "160-69=91" ]
Current State: 91:[99, 23, 3, 61], Operations: [] Exploring Operation: 99+61=160, Resulting Numbers: [23, 3, 160] Generated Node #2: [23, 3, 160] from Operation: 99+61=160 Current State: 91:[23, 3, 160], Operations: ['99+61=160'] Exploring Operation: 23*3=69, Resulting Numbers: [160, 69] Generated Node #3: [160, 69] from Operation: 23*3=69 Current State: 91:[160, 69], Operations: ['99+61=160', '23*3=69'] Exploring Operation: 160-69=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 7, 29, 55, 7 ]
25
[ "7/7=1", "55-29=26", "26-1=25" ]
Current State: 25:[7, 29, 55, 7], Operations: [] Exploring Operation: 7/7=1, Resulting Numbers: [29, 55, 1] Generated Node #2: [29, 55, 1] from Operation: 7/7=1 Current State: 25:[29, 55, 1], Operations: ['7/7=1'] Exploring Operation: 55-29=26, Resulting Numbers: [1, 26] Generated Node #3: [1, 26] from Operation: 55-29=26 Current State: 25:[1, 26], Operations: ['7/7=1', '55-29=26'] Exploring Operation: 26-1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 9, 63, 67, 87 ]
82
[ "9+63=72", "67+87=154", "154-72=82" ]
Current State: 82:[9, 63, 67, 87], Operations: [] Exploring Operation: 9+63=72, Resulting Numbers: [67, 87, 72] Generated Node #2: [67, 87, 72] from Operation: 9+63=72 Current State: 82:[67, 87, 72], Operations: ['9+63=72'] Exploring Operation: 67+87=154, Resulting Numbers: [72, 154] Generated Node #3: [72, 154] from Operation: 67+87=154 Current State: 82:[72, 154], Operations: ['9+63=72', '67+87=154'] Exploring Operation: 154-72=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 87, 63, 93, 64 ]
53
[ "87-63=24", "93-64=29", "24+29=53" ]
Current State: 53:[87, 63, 93, 64], Operations: [] Exploring Operation: 87-63=24, Resulting Numbers: [93, 64, 24] Generated Node #2: [93, 64, 24] from Operation: 87-63=24 Current State: 53:[93, 64, 24], Operations: ['87-63=24'] Exploring Operation: 93-64=29, Resulting Numbers: [24, 29] Generated Node #3: [24, 29] from Operation: 93-64=29 Current State: 53:[24, 29], Operations: ['87-63=24', '93-64=29'] Exploring Operation: 24+29=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 30, 34, 33, 3 ]
32
[ "34-30=4", "33+3=36", "36-4=32" ]
Current State: 32:[30, 34, 33, 3], Operations: [] Exploring Operation: 34-30=4, Resulting Numbers: [33, 3, 4] Generated Node #2: [33, 3, 4] from Operation: 34-30=4 Current State: 32:[33, 3, 4], Operations: ['34-30=4'] Exploring Operation: 33+3=36, Resulting Numbers: [4, 36] Generated Node #3: [4, 36] from Operation: 33+3=36 Current State: 32:[4, 36], Operations: ['34-30=4', '33+3=36'] Exploring Operation: 36-4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 66, 68, 62, 38 ]
22
[ "68-66=2", "62-38=24", "24-2=22" ]
Current State: 22:[66, 68, 62, 38], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [62, 38, 2] Generated Node #2: [62, 38, 2] from Operation: 68-66=2 Current State: 22:[62, 38, 2], Operations: ['68-66=2'] Exploring Operation: 62-38=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operation: 62-38=24 Current State: 22:[2, 24], Operations: ['68-66=2', '62-38=24'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 58, 54, 64, 4 ]
78
[ "64-58=6", "4*6=24", "54+24=78" ]
Current State: 78:[58, 54, 64, 4], Operations: [] Exploring Operation: 64-58=6, Resulting Numbers: [54, 4, 6] Generated Node #2: [54, 4, 6] from Operation: 64-58=6 Current State: 78:[54, 4, 6], Operations: ['64-58=6'] Exploring Operation: 4*6=24, Resulting Numbers: [54, 24] Generated Node #3: [54, 24] from Operation: 4*6=24 Current State: 78:[54, 24], Operations: ['64-58=6', '4*6=24'] Exploring Operation: 54+24=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 2, 81, 20, 3 ]
94
[ "20/2=10", "81+3=84", "10+84=94" ]
Current State: 94:[2, 81, 20, 3], Operations: [] Exploring Operation: 20/2=10, Resulting Numbers: [81, 3, 10] Generated Node #2: [81, 3, 10] from Operation: 20/2=10 Current State: 94:[81, 3, 10], Operations: ['20/2=10'] Exploring Operation: 81+3=84, Resulting Numbers: [10, 84] Generated Node #3: [10, 84] from Operation: 81+3=84 Current State: 94:[10, 84], Operations: ['20/2=10', '81+3=84'] Exploring Operation: 10+84=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 18, 73, 27, 97 ]
33
[ "18+73=91", "27+97=124", "124-91=33" ]
Current State: 33:[18, 73, 27, 97], Operations: [] Exploring Operation: 18+73=91, Resulting Numbers: [27, 97, 91] Generated Node #2: [27, 97, 91] from Operation: 18+73=91 Current State: 33:[27, 97, 91], Operations: ['18+73=91'] Exploring Operation: 27+97=124, Resulting Numbers: [91, 124] Generated Node #3: [91, 124] from Operation: 27+97=124 Current State: 33:[91, 124], Operations: ['18+73=91', '27+97=124'] Exploring Operation: 124-91=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 23, 61, 34, 60 ]
58
[ "23+61=84", "60-34=26", "84-26=58" ]
Current State: 58:[23, 61, 34, 60], Operations: [] Exploring Operation: 23+61=84, Resulting Numbers: [34, 60, 84] Generated Node #2: [34, 60, 84] from Operation: 23+61=84 Current State: 58:[34, 60, 84], Operations: ['23+61=84'] Exploring Operation: 60-34=26, Resulting Numbers: [84, 26] Generated Node #3: [84, 26] from Operation: 60-34=26 Current State: 58:[84, 26], Operations: ['23+61=84', '60-34=26'] Exploring Operation: 84-26=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 12, 52, 83, 88 ]
35
[ "52-12=40", "88-83=5", "40-5=35" ]
Current State: 35:[12, 52, 83, 88], Operations: [] Exploring Operation: 52-12=40, Resulting Numbers: [83, 88, 40] Generated Node #2: [83, 88, 40] from Operation: 52-12=40 Current State: 35:[83, 88, 40], Operations: ['52-12=40'] Exploring Operation: 88-83=5, Resulting Numbers: [40, 5] Generated Node #3: [40, 5] from Operation: 88-83=5 Current State: 35:[40, 5], Operations: ['52-12=40', '88-83=5'] Exploring Operation: 40-5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 77, 71, 68, 90 ]
39
[ "90-77=13", "71-68=3", "13*3=39" ]
Current State: 39:[77, 71, 68, 90], Operations: [] Exploring Operation: 90-77=13, Resulting Numbers: [71, 68, 13] Generated Node #2: [71, 68, 13] from Operation: 90-77=13 Current State: 39:[71, 68, 13], Operations: ['90-77=13'] Exploring Operation: 71-68=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 71-68=3 Current State: 39:[13, 3], Operations: ['90-77=13', '71-68=3'] Exploring Operation: 13*3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 4, 78, 58, 56 ]
19
[ "78-58=20", "56+20=76", "76/4=19" ]
Current State: 19:[4, 78, 58, 56], Operations: [] Exploring Operation: 78-58=20, Resulting Numbers: [4, 56, 20] Generated Node #2: [4, 56, 20] from Operation: 78-58=20 Current State: 19:[4, 56, 20], Operations: ['78-58=20'] Exploring Operation: 56+20=76, Resulting Numbers: [4, 76] Generated Node #3: [4, 76] from Operation: 56+20=76 Current State: 19:[4, 76], Operations: ['78-58=20', '56+20=76'] Exploring Operation: 76/4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 52, 33, 71, 25 ]
39
[ "52+33=85", "71-25=46", "85-46=39" ]
Current State: 39:[52, 33, 71, 25], Operations: [] Exploring Operation: 52+33=85, Resulting Numbers: [71, 25, 85] Generated Node #2: [71, 25, 85] from Operation: 52+33=85 Current State: 39:[71, 25, 85], Operations: ['52+33=85'] Exploring Operation: 71-25=46, Resulting Numbers: [85, 46] Generated Node #3: [85, 46] from Operation: 71-25=46 Current State: 39:[85, 46], Operations: ['52+33=85', '71-25=46'] Exploring Operation: 85-46=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 16, 39, 25, 46 ]
23
[ "39-16=23", "25-23=2", "46/2=23" ]
Current State: 23:[16, 39, 25, 46], Operations: [] Exploring Operation: 39-16=23, Resulting Numbers: [25, 46, 23] Generated Node #2: [25, 46, 23] from Operation: 39-16=23 Current State: 23:[25, 46, 23], Operations: ['39-16=23'] Exploring Operation: 25-23=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 25-23=2 Current State: 23:[46, 2], Operations: ['39-16=23', '25-23=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 42, 48, 36, 83 ]
89
[ "48-42=6", "36/6=6", "83+6=89" ]
Current State: 89:[42, 48, 36, 83], Operations: [] Exploring Operation: 48-42=6, Resulting Numbers: [36, 83, 6] Generated Node #2: [36, 83, 6] from Operation: 48-42=6 Current State: 89:[36, 83, 6], Operations: ['48-42=6'] Exploring Operation: 36/6=6, Resulting Numbers: [83, 6] Generated Node #3: [83, 6] from Operation: 36/6=6 Current State: 89:[83, 6], Operations: ['48-42=6', '36/6=6'] Exploring Operation: 83+6=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4