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
[ 3, 32, 67, 26 ]
27
[ "67-32=35", "35-26=9", "3*9=27" ]
Current State: 27:[3, 32, 67, 26], Operations: [] Exploring Operation: 67-32=35, Resulting Numbers: [3, 26, 35] Generated Node #2: [3, 26, 35] from Operation: 67-32=35 Current State: 27:[3, 26, 35], Operations: ['67-32=35'] Exploring Operation: 35-26=9, Resulting Numbers: [3, 9] Generated Node #3: [3, 9] from Operation: 35-26=9 Current State: 27:[3, 9], Operations: ['67-32=35', '35-26=9'] Exploring Operation: 3*9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 57, 33, 11, 81 ]
90
[ "57*33=1881", "1881/11=171", "171-81=90" ]
Current State: 90:[57, 33, 11, 81], Operations: [] Exploring Operation: 57*33=1881, Resulting Numbers: [11, 81, 1881] Generated Node #2: [11, 81, 1881] from Operation: 57*33=1881 Current State: 90:[11, 81, 1881], Operations: ['57*33=1881'] Exploring Operation: 1881/11=171, Resulting Numbers: [81, 171] Generated Node #3: [81, 171] from Operation: 1881/11=171 Current State: 90:[81, 171], Operations: ['57*33=1881', '1881/11=171'] Exploring Operation: 171-81=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 71, 64, 57, 28 ]
61
[ "71-64=7", "28/7=4", "57+4=61" ]
Current State: 61:[71, 64, 57, 28], Operations: [] Exploring Operation: 71-64=7, Resulting Numbers: [57, 28, 7] Generated Node #2: [57, 28, 7] from Operation: 71-64=7 Current State: 61:[57, 28, 7], Operations: ['71-64=7'] Exploring Operation: 28/7=4, Resulting Numbers: [57, 4] Generated Node #3: [57, 4] from Operation: 28/7=4 Current State: 61:[57, 4], Operations: ['71-64=7', '28/7=4'] Exploring Operation: 57+4=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 4, 81, 59, 4 ]
84
[ "81-59=22", "4*22=88", "88-4=84" ]
Current State: 84:[4, 81, 59, 4], Operations: [] Exploring Operation: 81-59=22, Resulting Numbers: [4, 4, 22] Generated Node #2: [4, 4, 22] from Operation: 81-59=22 Current State: 84:[4, 4, 22], Operations: ['81-59=22'] Exploring Operation: 4*22=88, Resulting Numbers: [88] 88,84 equal: Goal Reached Exploring Operation: 88-4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 58, 61, 1, 60 ]
31
[ "60-58=2", "61+1=62", "62/2=31" ]
Current State: 31:[58, 61, 1, 60], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [61, 1, 2] Generated Node #2: [61, 1, 2] from Operation: 60-58=2 Current State: 31:[61, 1, 2], Operations: ['60-58=2'] Exploring Operation: 61+1=62, Resulting Numbers: [2, 62] Generated Node #3: [2, 62] from Operation: 61+1=62 Current State: 31:[2, 62], Operations: ['60-58=2', '61+1=62'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 26, 5, 24, 23 ]
33
[ "26+24=50", "50/5=10", "23+10=33" ]
Current State: 33:[26, 5, 24, 23], Operations: [] Exploring Operation: 26+24=50, Resulting Numbers: [5, 23, 50] Generated Node #2: [5, 23, 50] from Operation: 26+24=50 Current State: 33:[5, 23, 50], Operations: ['26+24=50'] Exploring Operation: 50/5=10, Resulting Numbers: [23, 10] Generated Node #3: [23, 10] from Operation: 50/5=10 Current State: 33:[23, 10], Operations: ['26+24=50', '50/5=10'] Exploring Operation: 23+10=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 15, 78, 48, 53 ]
98
[ "15+78=93", "53-48=5", "93+5=98" ]
Current State: 98:[15, 78, 48, 53], Operations: [] Exploring Operation: 15+78=93, Resulting Numbers: [48, 53, 93] Generated Node #2: [48, 53, 93] from Operation: 15+78=93 Current State: 98:[48, 53, 93], Operations: ['15+78=93'] Exploring Operation: 53-48=5, Resulting Numbers: [93, 5] Generated Node #3: [93, 5] from Operation: 53-48=5 Current State: 98:[93, 5], Operations: ['15+78=93', '53-48=5'] Exploring Operation: 93+5=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 10, 30, 8, 31 ]
52
[ "10*30=300", "8*31=248", "300-248=52" ]
Current State: 52:[10, 30, 8, 31], Operations: [] Exploring Operation: 10*30=300, Resulting Numbers: [8, 31, 300] Generated Node #2: [8, 31, 300] from Operation: 10*30=300 Current State: 52:[8, 31, 300], Operations: ['10*30=300'] Exploring Operation: 8*31=248, Resulting Numbers: [300, 248] Generated Node #3: [300, 248] from Operation: 8*31=248 Current State: 52:[300, 248], Operations: ['10*30=300', '8*31=248'] Exploring Operation: 300-248=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 93, 20, 45, 13 ]
98
[ "20+45=65", "65/13=5", "93+5=98" ]
Current State: 98:[93, 20, 45, 13], Operations: [] Exploring Operation: 20+45=65, Resulting Numbers: [93, 13, 65] Generated Node #2: [93, 13, 65] from Operation: 20+45=65 Current State: 98:[93, 13, 65], Operations: ['20+45=65'] Exploring Operation: 65/13=5, Resulting Numbers: [93, 5] Generated Node #3: [93, 5] from Operation: 65/13=5 Current State: 98:[93, 5], Operations: ['20+45=65', '65/13=5'] Exploring Operation: 93+5=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 98, 10, 89, 6 ]
25
[ "98+10=108", "89-6=83", "108-83=25" ]
Current State: 25:[98, 10, 89, 6], Operations: [] Exploring Operation: 98+10=108, Resulting Numbers: [89, 6, 108] Generated Node #2: [89, 6, 108] from Operation: 98+10=108 Current State: 25:[89, 6, 108], Operations: ['98+10=108'] Exploring Operation: 89-6=83, Resulting Numbers: [108, 83] Generated Node #3: [108, 83] from Operation: 89-6=83 Current State: 25:[108, 83], Operations: ['98+10=108', '89-6=83'] Exploring Operation: 108-83=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 99, 49, 53, 46 ]
92
[ "53-46=7", "49/7=7", "99-7=92" ]
Current State: 92:[99, 49, 53, 46], Operations: [] Exploring Operation: 53-46=7, Resulting Numbers: [99, 49, 7] Generated Node #2: [99, 49, 7] from Operation: 53-46=7 Current State: 92:[99, 49, 7], Operations: ['53-46=7'] Exploring Operation: 49/7=7, Resulting Numbers: [99, 7] Generated Node #3: [99, 7] from Operation: 49/7=7 Current State: 92:[99, 7], Operations: ['53-46=7', '49/7=7'] Exploring Operation: 99-7=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 3, 2, 47, 48 ]
73
[ "3+47=50", "50/2=25", "48+25=73" ]
Current State: 73:[3, 2, 47, 48], Operations: [] Exploring Operation: 3+47=50, Resulting Numbers: [2, 48, 50] Generated Node #2: [2, 48, 50] from Operation: 3+47=50 Current State: 73:[2, 48, 50], Operations: ['3+47=50'] Exploring Operation: 50/2=25, Resulting Numbers: [48, 25] Generated Node #3: [48, 25] from Operation: 50/2=25 Current State: 73:[48, 25], Operations: ['3+47=50', '50/2=25'] Exploring Operation: 48+25=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 46, 28, 84, 70 ]
52
[ "46+84=130", "28*130=3640", "3640/70=52" ]
Current State: 52:[46, 28, 84, 70], Operations: [] Exploring Operation: 46+84=130, Resulting Numbers: [28, 70, 130] Generated Node #2: [28, 70, 130] from Operation: 46+84=130 Current State: 52:[28, 70, 130], Operations: ['46+84=130'] Exploring Operation: 28*130=3640, Resulting Numbers: [70, 3640] Generated Node #3: [70, 3640] from Operation: 28*130=3640 Current State: 52:[70, 3640], Operations: ['46+84=130', '28*130=3640'] Exploring Operation: 3640/70=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 72, 79, 13, 64 ]
61
[ "79+64=143", "143/13=11", "72-11=61" ]
Current State: 61:[72, 79, 13, 64], Operations: [] Exploring Operation: 79+64=143, Resulting Numbers: [72, 13, 143] Generated Node #2: [72, 13, 143] from Operation: 79+64=143 Current State: 61:[72, 13, 143], Operations: ['79+64=143'] Exploring Operation: 143/13=11, Resulting Numbers: [72, 11] Generated Node #3: [72, 11] from Operation: 143/13=11 Current State: 61:[72, 11], Operations: ['79+64=143', '143/13=11'] Exploring Operation: 72-11=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 17, 39, 60, 97 ]
68
[ "39+97=136", "136/17=8", "60+8=68" ]
Current State: 68:[17, 39, 60, 97], Operations: [] Exploring Operation: 39+97=136, Resulting Numbers: [17, 60, 136] Generated Node #2: [17, 60, 136] from Operation: 39+97=136 Current State: 68:[17, 60, 136], Operations: ['39+97=136'] Exploring Operation: 136/17=8, Resulting Numbers: [60, 8] Generated Node #3: [60, 8] from Operation: 136/17=8 Current State: 68:[60, 8], Operations: ['39+97=136', '136/17=8'] Exploring Operation: 60+8=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 64, 65, 41, 74 ]
32
[ "65-64=1", "74-41=33", "33-1=32" ]
Current State: 32:[64, 65, 41, 74], Operations: [] Exploring Operation: 65-64=1, Resulting Numbers: [41, 74, 1] Generated Node #2: [41, 74, 1] from Operation: 65-64=1 Current State: 32:[41, 74, 1], Operations: ['65-64=1'] Exploring Operation: 74-41=33, Resulting Numbers: [1, 33] Generated Node #3: [1, 33] from Operation: 74-41=33 Current State: 32:[1, 33], Operations: ['65-64=1', '74-41=33'] Exploring Operation: 33-1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 61, 38, 4, 78 ]
90
[ "38+78=116", "116/4=29", "61+29=90" ]
Current State: 90:[61, 38, 4, 78], Operations: [] Exploring Operation: 38+78=116, Resulting Numbers: [61, 4, 116] Generated Node #2: [61, 4, 116] from Operation: 38+78=116 Current State: 90:[61, 4, 116], Operations: ['38+78=116'] Exploring Operation: 116/4=29, Resulting Numbers: [61, 29] Generated Node #3: [61, 29] from Operation: 116/4=29 Current State: 90:[61, 29], Operations: ['38+78=116', '116/4=29'] Exploring Operation: 61+29=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 89, 28, 13, 58 ]
49
[ "89+28=117", "117/13=9", "58-9=49" ]
Current State: 49:[89, 28, 13, 58], Operations: [] Exploring Operation: 89+28=117, Resulting Numbers: [13, 58, 117] Generated Node #2: [13, 58, 117] from Operation: 89+28=117 Current State: 49:[13, 58, 117], Operations: ['89+28=117'] Exploring Operation: 117/13=9, Resulting Numbers: [58, 9] Generated Node #3: [58, 9] from Operation: 117/13=9 Current State: 49:[58, 9], Operations: ['89+28=117', '117/13=9'] Exploring Operation: 58-9=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 35, 36, 86, 88 ]
17
[ "88-86=2", "36/2=18", "35-18=17" ]
Current State: 17:[35, 36, 86, 88], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [35, 36, 2] Generated Node #2: [35, 36, 2] from Operation: 88-86=2 Current State: 17:[35, 36, 2], Operations: ['88-86=2'] Exploring Operation: 36/2=18, Resulting Numbers: [35, 18] Generated Node #3: [35, 18] from Operation: 36/2=18 Current State: 17:[35, 18], Operations: ['88-86=2', '36/2=18'] Exploring Operation: 35-18=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 2, 48, 43, 3 ]
91
[ "3-2=1", "48+43=91", "1*91=91" ]
Current State: 91:[2, 48, 43, 3], Operations: [] Exploring Operation: 3-2=1, Resulting Numbers: [48, 43, 1] Generated Node #2: [48, 43, 1] from Operation: 3-2=1 Current State: 91:[48, 43, 1], Operations: ['3-2=1'] Exploring Operation: 48+43=91, Resulting Numbers: [1, 91] Generated Node #3: [1, 91] from Operation: 48+43=91 Current State: 91:[1, 91], Operations: ['3-2=1', '48+43=91'] Exploring Operation: 1*91=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 63, 21, 5, 11 ]
63
[ "11-5=6", "21*6=126", "126-63=63" ]
Current State: 63:[63, 21, 5, 11], Operations: [] Exploring Operation: 11-5=6, Resulting Numbers: [63, 21, 6] Generated Node #2: [63, 21, 6] from Operation: 11-5=6 Current State: 63:[63, 21, 6], Operations: ['11-5=6'] Exploring Operation: 21*6=126, Resulting Numbers: [63, 126] Generated Node #3: [63, 126] from Operation: 21*6=126 Current State: 63:[63, 126], Operations: ['11-5=6', '21*6=126'] Exploring Operation: 126-63=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 6, 88, 62, 58 ]
38
[ "88-6=82", "62+58=120", "120-82=38" ]
Current State: 38:[6, 88, 62, 58], Operations: [] Exploring Operation: 88-6=82, Resulting Numbers: [62, 58, 82] Generated Node #2: [62, 58, 82] from Operation: 88-6=82 Current State: 38:[62, 58, 82], Operations: ['88-6=82'] Exploring Operation: 62+58=120, Resulting Numbers: [82, 120] Generated Node #3: [82, 120] from Operation: 62+58=120 Current State: 38:[82, 120], Operations: ['88-6=82', '62+58=120'] Exploring Operation: 120-82=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 26, 25, 73, 5 ]
94
[ "26+73=99", "25/5=5", "99-5=94" ]
Current State: 94:[26, 25, 73, 5], Operations: [] Exploring Operation: 26+73=99, Resulting Numbers: [25, 5, 99] Generated Node #2: [25, 5, 99] from Operation: 26+73=99 Current State: 94:[25, 5, 99], Operations: ['26+73=99'] Exploring Operation: 25/5=5, Resulting Numbers: [99, 5] Generated Node #3: [99, 5] from Operation: 25/5=5 Current State: 94:[99, 5], Operations: ['26+73=99', '25/5=5'] Exploring Operation: 99-5=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 61, 87, 47, 9 ]
30
[ "87-61=26", "47+9=56", "56-26=30" ]
Current State: 30:[61, 87, 47, 9], Operations: [] Exploring Operation: 87-61=26, Resulting Numbers: [47, 9, 26] Generated Node #2: [47, 9, 26] from Operation: 87-61=26 Current State: 30:[47, 9, 26], Operations: ['87-61=26'] Exploring Operation: 47+9=56, Resulting Numbers: [26, 56] Generated Node #3: [26, 56] from Operation: 47+9=56 Current State: 30:[26, 56], Operations: ['87-61=26', '47+9=56'] Exploring Operation: 56-26=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 68, 80, 49, 55 ]
92
[ "80-68=12", "49+55=104", "104-12=92" ]
Current State: 92:[68, 80, 49, 55], Operations: [] Exploring Operation: 80-68=12, Resulting Numbers: [49, 55, 12] Generated Node #2: [49, 55, 12] from Operation: 80-68=12 Current State: 92:[49, 55, 12], Operations: ['80-68=12'] Exploring Operation: 49+55=104, Resulting Numbers: [12, 104] Generated Node #3: [12, 104] from Operation: 49+55=104 Current State: 92:[12, 104], Operations: ['80-68=12', '49+55=104'] Exploring Operation: 104-12=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 41, 7, 19, 11 ]
91
[ "19-7=12", "11*12=132", "132-41=91" ]
Current State: 91:[41, 7, 19, 11], Operations: [] Exploring Operation: 19-7=12, Resulting Numbers: [41, 11, 12] Generated Node #2: [41, 11, 12] from Operation: 19-7=12 Current State: 91:[41, 11, 12], Operations: ['19-7=12'] Exploring Operation: 11*12=132, Resulting Numbers: [41, 132] Generated Node #3: [41, 132] from Operation: 11*12=132 Current State: 91:[41, 132], Operations: ['19-7=12', '11*12=132'] Exploring Operation: 132-41=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 57, 44, 17, 11 ]
36
[ "57-17=40", "44/11=4", "40-4=36" ]
Current State: 36:[57, 44, 17, 11], Operations: [] Exploring Operation: 57-17=40, Resulting Numbers: [44, 11, 40] Generated Node #2: [44, 11, 40] from Operation: 57-17=40 Current State: 36:[44, 11, 40], Operations: ['57-17=40'] Exploring Operation: 44/11=4, Resulting Numbers: [40, 4] Generated Node #3: [40, 4] from Operation: 44/11=4 Current State: 36:[40, 4], Operations: ['57-17=40', '44/11=4'] Exploring Operation: 40-4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 24, 19, 30, 63 ]
57
[ "24-19=5", "30/5=6", "63-6=57" ]
Current State: 57:[24, 19, 30, 63], Operations: [] Exploring Operation: 24-19=5, Resulting Numbers: [30, 63, 5] Generated Node #2: [30, 63, 5] from Operation: 24-19=5 Current State: 57:[30, 63, 5], Operations: ['24-19=5'] Exploring Operation: 30/5=6, Resulting Numbers: [63, 6] Generated Node #3: [63, 6] from Operation: 30/5=6 Current State: 57:[63, 6], Operations: ['24-19=5', '30/5=6'] Exploring Operation: 63-6=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 67, 67, 10, 75 ]
66
[ "67/67=1", "75-10=65", "1+65=66" ]
Current State: 66:[67, 67, 10, 75], Operations: [] Exploring Operation: 67/67=1, Resulting Numbers: [10, 75, 1] Generated Node #2: [10, 75, 1] from Operation: 67/67=1 Current State: 66:[10, 75, 1], Operations: ['67/67=1'] Exploring Operation: 75-10=65, Resulting Numbers: [1, 65] Generated Node #3: [1, 65] from Operation: 75-10=65 Current State: 66:[1, 65], Operations: ['67/67=1', '75-10=65'] Exploring Operation: 1+65=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 31, 58, 28, 21 ]
96
[ "31+58=89", "28-21=7", "89+7=96" ]
Current State: 96:[31, 58, 28, 21], Operations: [] Exploring Operation: 31+58=89, Resulting Numbers: [28, 21, 89] Generated Node #2: [28, 21, 89] from Operation: 31+58=89 Current State: 96:[28, 21, 89], Operations: ['31+58=89'] Exploring Operation: 28-21=7, Resulting Numbers: [89, 7] Generated Node #3: [89, 7] from Operation: 28-21=7 Current State: 96:[89, 7], Operations: ['31+58=89', '28-21=7'] Exploring Operation: 89+7=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 98, 71, 60, 43 ]
46
[ "98*43=4214", "71*60=4260", "4260-4214=46" ]
Current State: 46:[98, 71, 60, 43], Operations: [] Exploring Operation: 98*43=4214, Resulting Numbers: [71, 60, 4214] Generated Node #2: [71, 60, 4214] from Operation: 98*43=4214 Current State: 46:[71, 60, 4214], Operations: ['98*43=4214'] Exploring Operation: 71*60=4260, Resulting Numbers: [4214, 4260] Generated Node #3: [4214, 4260] from Operation: 71*60=4260 Current State: 46:[4214, 4260], Operations: ['98*43=4214', '71*60=4260'] Exploring Operation: 4260-4214=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 3, 85, 90, 37 ]
45
[ "85-3=82", "90+37=127", "127-82=45" ]
Current State: 45:[3, 85, 90, 37], Operations: [] Exploring Operation: 85-3=82, Resulting Numbers: [90, 37, 82] Generated Node #2: [90, 37, 82] from Operation: 85-3=82 Current State: 45:[90, 37, 82], Operations: ['85-3=82'] Exploring Operation: 90+37=127, Resulting Numbers: [82, 127] Generated Node #3: [82, 127] from Operation: 90+37=127 Current State: 45:[82, 127], Operations: ['85-3=82', '90+37=127'] Exploring Operation: 127-82=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 45, 4, 1, 6 ]
46
[ "45-4=41", "6-1=5", "41+5=46" ]
Current State: 46:[45, 4, 1, 6], Operations: [] Exploring Operation: 45-4=41, Resulting Numbers: [1, 6, 41] Generated Node #2: [1, 6, 41] from Operation: 45-4=41 Current State: 46:[1, 6, 41], Operations: ['45-4=41'] Exploring Operation: 6-1=5, Resulting Numbers: [41, 5] Generated Node #3: [41, 5] from Operation: 6-1=5 Current State: 46:[41, 5], Operations: ['45-4=41', '6-1=5'] Exploring Operation: 41+5=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 70, 89, 68, 5 ]
92
[ "89-70=19", "68+5=73", "19+73=92" ]
Current State: 92:[70, 89, 68, 5], Operations: [] Exploring Operation: 89-70=19, Resulting Numbers: [68, 5, 19] Generated Node #2: [68, 5, 19] from Operation: 89-70=19 Current State: 92:[68, 5, 19], Operations: ['89-70=19'] Exploring Operation: 68+5=73, Resulting Numbers: [19, 73] Generated Node #3: [19, 73] from Operation: 68+5=73 Current State: 92:[19, 73], Operations: ['89-70=19', '68+5=73'] Exploring Operation: 19+73=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 27, 35, 87, 2 ]
81
[ "35-27=8", "87+2=89", "89-8=81" ]
Current State: 81:[27, 35, 87, 2], Operations: [] Exploring Operation: 35-27=8, Resulting Numbers: [87, 2, 8] Generated Node #2: [87, 2, 8] from Operation: 35-27=8 Current State: 81:[87, 2, 8], Operations: ['35-27=8'] Exploring Operation: 87+2=89, Resulting Numbers: [8, 89] Generated Node #3: [8, 89] from Operation: 87+2=89 Current State: 81:[8, 89], Operations: ['35-27=8', '87+2=89'] Exploring Operation: 89-8=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 94, 75, 76, 13 ]
89
[ "94+75=169", "169/13=13", "76+13=89" ]
Current State: 89:[94, 75, 76, 13], Operations: [] Exploring Operation: 94+75=169, Resulting Numbers: [76, 13, 169] Generated Node #2: [76, 13, 169] from Operation: 94+75=169 Current State: 89:[76, 13, 169], Operations: ['94+75=169'] Exploring Operation: 169/13=13, Resulting Numbers: [76, 13] Generated Node #3: [76, 13] from Operation: 169/13=13 Current State: 89:[76, 13], Operations: ['94+75=169', '169/13=13'] Exploring Operation: 76+13=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 72, 88, 65, 89 ]
40
[ "88-72=16", "89-65=24", "16+24=40" ]
Current State: 40:[72, 88, 65, 89], Operations: [] Exploring Operation: 88-72=16, Resulting Numbers: [65, 89, 16] Generated Node #2: [65, 89, 16] from Operation: 88-72=16 Current State: 40:[65, 89, 16], Operations: ['88-72=16'] Exploring Operation: 89-65=24, Resulting Numbers: [16, 24] Generated Node #3: [16, 24] from Operation: 89-65=24 Current State: 40:[16, 24], Operations: ['88-72=16', '89-65=24'] Exploring Operation: 16+24=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 80, 17, 35, 90 ]
25
[ "80+90=170", "170/17=10", "35-10=25" ]
Current State: 25:[80, 17, 35, 90], Operations: [] Exploring Operation: 80+90=170, Resulting Numbers: [17, 35, 170] Generated Node #2: [17, 35, 170] from Operation: 80+90=170 Current State: 25:[17, 35, 170], Operations: ['80+90=170'] Exploring Operation: 170/17=10, Resulting Numbers: [35, 10] Generated Node #3: [35, 10] from Operation: 170/17=10 Current State: 25:[35, 10], Operations: ['80+90=170', '170/17=10'] Exploring Operation: 35-10=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 20, 93, 85, 94 ]
87
[ "94-85=9", "20*9=180", "180-93=87" ]
Current State: 87:[20, 93, 85, 94], Operations: [] Exploring Operation: 94-85=9, Resulting Numbers: [20, 93, 9] Generated Node #2: [20, 93, 9] from Operation: 94-85=9 Current State: 87:[20, 93, 9], Operations: ['94-85=9'] Exploring Operation: 20*9=180, Resulting Numbers: [93, 180] Generated Node #3: [93, 180] from Operation: 20*9=180 Current State: 87:[93, 180], Operations: ['94-85=9', '20*9=180'] Exploring Operation: 180-93=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 5, 51, 75, 65 ]
53
[ "75-65=10", "10/5=2", "51+2=53" ]
Current State: 53:[5, 51, 75, 65], Operations: [] Exploring Operation: 75-65=10, Resulting Numbers: [5, 51, 10] Generated Node #2: [5, 51, 10] from Operation: 75-65=10 Current State: 53:[5, 51, 10], Operations: ['75-65=10'] Exploring Operation: 10/5=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 10/5=2 Current State: 53:[51, 2], Operations: ['75-65=10', '10/5=2'] Exploring Operation: 51+2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 2, 48, 47, 14 ]
13
[ "48-2=46", "47-14=33", "46-33=13" ]
Current State: 13:[2, 48, 47, 14], Operations: [] Exploring Operation: 48-2=46, Resulting Numbers: [47, 14, 46] Generated Node #2: [47, 14, 46] from Operation: 48-2=46 Current State: 13:[47, 14, 46], Operations: ['48-2=46'] Exploring Operation: 47-14=33, Resulting Numbers: [46, 33] Generated Node #3: [46, 33] from Operation: 47-14=33 Current State: 13:[46, 33], Operations: ['48-2=46', '47-14=33'] Exploring Operation: 46-33=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 69, 13, 60, 63 ]
67
[ "69-13=56", "60+63=123", "123-56=67" ]
Current State: 67:[69, 13, 60, 63], Operations: [] Exploring Operation: 69-13=56, Resulting Numbers: [60, 63, 56] Generated Node #2: [60, 63, 56] from Operation: 69-13=56 Current State: 67:[60, 63, 56], Operations: ['69-13=56'] Exploring Operation: 60+63=123, Resulting Numbers: [56, 123] Generated Node #3: [56, 123] from Operation: 60+63=123 Current State: 67:[56, 123], Operations: ['69-13=56', '60+63=123'] Exploring Operation: 123-56=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 61, 28, 6, 72 ]
99
[ "61-28=33", "72-6=66", "33+66=99" ]
Current State: 99:[61, 28, 6, 72], Operations: [] Exploring Operation: 61-28=33, Resulting Numbers: [6, 72, 33] Generated Node #2: [6, 72, 33] from Operation: 61-28=33 Current State: 99:[6, 72, 33], Operations: ['61-28=33'] Exploring Operation: 72-6=66, Resulting Numbers: [33, 66] Generated Node #3: [33, 66] from Operation: 72-6=66 Current State: 99:[33, 66], Operations: ['61-28=33', '72-6=66'] Exploring Operation: 33+66=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 51, 9, 10, 52 ]
58
[ "51+9=60", "60/10=6", "52+6=58" ]
Current State: 58:[51, 9, 10, 52], Operations: [] Exploring Operation: 51+9=60, Resulting Numbers: [10, 52, 60] Generated Node #2: [10, 52, 60] from Operation: 51+9=60 Current State: 58:[10, 52, 60], Operations: ['51+9=60'] Exploring Operation: 60/10=6, Resulting Numbers: [52, 6] Generated Node #3: [52, 6] from Operation: 60/10=6 Current State: 58:[52, 6], Operations: ['51+9=60', '60/10=6'] Exploring Operation: 52+6=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 17, 23, 39, 38 ]
37
[ "17+23=40", "39+38=77", "77-40=37" ]
Current State: 37:[17, 23, 39, 38], Operations: [] Exploring Operation: 17+23=40, Resulting Numbers: [39, 38, 40] Generated Node #2: [39, 38, 40] from Operation: 17+23=40 Current State: 37:[39, 38, 40], Operations: ['17+23=40'] Exploring Operation: 39+38=77, Resulting Numbers: [40, 77] Generated Node #3: [40, 77] from Operation: 39+38=77 Current State: 37:[40, 77], Operations: ['17+23=40', '39+38=77'] Exploring Operation: 77-40=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 77, 86, 65, 21 ]
76
[ "86-65=21", "21/21=1", "77-1=76" ]
Current State: 76:[77, 86, 65, 21], Operations: [] Exploring Operation: 86-65=21, Resulting Numbers: [77, 21, 21] Generated Node #2: [77, 21, 21] from Operation: 86-65=21 Current State: 76:[77, 21, 21], Operations: ['86-65=21'] Exploring Operation: 21/21=1, Resulting Numbers: [77, 1] Generated Node #3: [77, 1] from Operation: 21/21=1 Current State: 76:[77, 1], Operations: ['86-65=21', '21/21=1'] Exploring Operation: 77-1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 1, 47, 74, 56 ]
64
[ "47-1=46", "74-56=18", "46+18=64" ]
Current State: 64:[1, 47, 74, 56], Operations: [] Exploring Operation: 47-1=46, Resulting Numbers: [74, 56, 46] Generated Node #2: [74, 56, 46] from Operation: 47-1=46 Current State: 64:[74, 56, 46], Operations: ['47-1=46'] Exploring Operation: 74-56=18, Resulting Numbers: [46, 18] Generated Node #3: [46, 18] from Operation: 74-56=18 Current State: 64:[46, 18], Operations: ['47-1=46', '74-56=18'] Exploring Operation: 46+18=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 87, 79, 14, 16 ]
83
[ "87+79=166", "16-14=2", "166/2=83" ]
Current State: 83:[87, 79, 14, 16], Operations: [] Exploring Operation: 87+79=166, Resulting Numbers: [14, 16, 166] Generated Node #2: [14, 16, 166] from Operation: 87+79=166 Current State: 83:[14, 16, 166], Operations: ['87+79=166'] Exploring Operation: 16-14=2, Resulting Numbers: [166, 2] Generated Node #3: [166, 2] from Operation: 16-14=2 Current State: 83:[166, 2], Operations: ['87+79=166', '16-14=2'] Exploring Operation: 166/2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 24, 51, 97, 49 ]
75
[ "51-24=27", "97-49=48", "27+48=75" ]
Current State: 75:[24, 51, 97, 49], Operations: [] Exploring Operation: 51-24=27, Resulting Numbers: [97, 49, 27] Generated Node #2: [97, 49, 27] from Operation: 51-24=27 Current State: 75:[97, 49, 27], Operations: ['51-24=27'] Exploring Operation: 97-49=48, Resulting Numbers: [27, 48] Generated Node #3: [27, 48] from Operation: 97-49=48 Current State: 75:[27, 48], Operations: ['51-24=27', '97-49=48'] Exploring Operation: 27+48=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 12, 91, 4, 54 ]
45
[ "12+91=103", "4+54=58", "103-58=45" ]
Current State: 45:[12, 91, 4, 54], Operations: [] Exploring Operation: 12+91=103, Resulting Numbers: [4, 54, 103] Generated Node #2: [4, 54, 103] from Operation: 12+91=103 Current State: 45:[4, 54, 103], Operations: ['12+91=103'] Exploring Operation: 4+54=58, Resulting Numbers: [103, 58] Generated Node #3: [103, 58] from Operation: 4+54=58 Current State: 45:[103, 58], Operations: ['12+91=103', '4+54=58'] Exploring Operation: 103-58=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 4, 10, 24, 3 ]
24
[ "24/4=6", "10*3=30", "30-6=24" ]
Current State: 24:[4, 10, 24, 3], Operations: [] Exploring Operation: 24/4=6, Resulting Numbers: [10, 3, 6] Generated Node #2: [10, 3, 6] from Operation: 24/4=6 Current State: 24:[10, 3, 6], Operations: ['24/4=6'] Exploring Operation: 10*3=30, Resulting Numbers: [6, 30] Generated Node #3: [6, 30] from Operation: 10*3=30 Current State: 24:[6, 30], Operations: ['24/4=6', '10*3=30'] Exploring Operation: 30-6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 88, 86, 54, 23 ]
33
[ "88-86=2", "54-23=31", "2+31=33" ]
Current State: 33:[88, 86, 54, 23], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [54, 23, 2] Generated Node #2: [54, 23, 2] from Operation: 88-86=2 Current State: 33:[54, 23, 2], Operations: ['88-86=2'] Exploring Operation: 54-23=31, Resulting Numbers: [2, 31] Generated Node #3: [2, 31] from Operation: 54-23=31 Current State: 33:[2, 31], Operations: ['88-86=2', '54-23=31'] Exploring Operation: 2+31=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 80, 60, 33, 38 ]
91
[ "80-60=20", "33+38=71", "20+71=91" ]
Current State: 91:[80, 60, 33, 38], Operations: [] Exploring Operation: 80-60=20, Resulting Numbers: [33, 38, 20] Generated Node #2: [33, 38, 20] from Operation: 80-60=20 Current State: 91:[33, 38, 20], Operations: ['80-60=20'] Exploring Operation: 33+38=71, Resulting Numbers: [20, 71] Generated Node #3: [20, 71] from Operation: 33+38=71 Current State: 91:[20, 71], Operations: ['80-60=20', '33+38=71'] Exploring Operation: 20+71=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 12, 10, 24, 54 ]
52
[ "12+10=22", "54-24=30", "22+30=52" ]
Current State: 52:[12, 10, 24, 54], Operations: [] Exploring Operation: 12+10=22, Resulting Numbers: [24, 54, 22] Generated Node #2: [24, 54, 22] from Operation: 12+10=22 Current State: 52:[24, 54, 22], Operations: ['12+10=22'] Exploring Operation: 54-24=30, Resulting Numbers: [22, 30] Generated Node #3: [22, 30] from Operation: 54-24=30 Current State: 52:[22, 30], Operations: ['12+10=22', '54-24=30'] Exploring Operation: 22+30=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 54, 84, 89, 22 ]
97
[ "84-54=30", "89-22=67", "30+67=97" ]
Current State: 97:[54, 84, 89, 22], Operations: [] Exploring Operation: 84-54=30, Resulting Numbers: [89, 22, 30] Generated Node #2: [89, 22, 30] from Operation: 84-54=30 Current State: 97:[89, 22, 30], Operations: ['84-54=30'] Exploring Operation: 89-22=67, Resulting Numbers: [30, 67] Generated Node #3: [30, 67] from Operation: 89-22=67 Current State: 97:[30, 67], Operations: ['84-54=30', '89-22=67'] Exploring Operation: 30+67=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 26, 49, 59, 69 ]
56
[ "49-26=23", "69/23=3", "59-3=56" ]
Current State: 56:[26, 49, 59, 69], Operations: [] Exploring Operation: 49-26=23, Resulting Numbers: [59, 69, 23] Generated Node #2: [59, 69, 23] from Operation: 49-26=23 Current State: 56:[59, 69, 23], Operations: ['49-26=23'] Exploring Operation: 69/23=3, Resulting Numbers: [59, 3] Generated Node #3: [59, 3] from Operation: 69/23=3 Current State: 56:[59, 3], Operations: ['49-26=23', '69/23=3'] Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 21, 12, 52, 88 ]
69
[ "21+12=33", "88-52=36", "33+36=69" ]
Current State: 69:[21, 12, 52, 88], Operations: [] Exploring Operation: 21+12=33, Resulting Numbers: [52, 88, 33] Generated Node #2: [52, 88, 33] from Operation: 21+12=33 Current State: 69:[52, 88, 33], Operations: ['21+12=33'] Exploring Operation: 88-52=36, Resulting Numbers: [33, 36] Generated Node #3: [33, 36] from Operation: 88-52=36 Current State: 69:[33, 36], Operations: ['21+12=33', '88-52=36'] Exploring Operation: 33+36=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 52, 94, 39, 64 ]
40
[ "94-64=30", "52*30=1560", "1560/39=40" ]
Current State: 40:[52, 94, 39, 64], Operations: [] Exploring Operation: 94-64=30, Resulting Numbers: [52, 39, 30] Generated Node #2: [52, 39, 30] from Operation: 94-64=30 Current State: 40:[52, 39, 30], Operations: ['94-64=30'] Exploring Operation: 52*30=1560, Resulting Numbers: [39, 1560] Generated Node #3: [39, 1560] from Operation: 52*30=1560 Current State: 40:[39, 1560], Operations: ['94-64=30', '52*30=1560'] Exploring Operation: 1560/39=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 78, 30, 96, 56 ]
32
[ "56-30=26", "78/26=3", "96/3=32" ]
Current State: 32:[78, 30, 96, 56], Operations: [] Exploring Operation: 56-30=26, Resulting Numbers: [78, 96, 26] Generated Node #2: [78, 96, 26] from Operation: 56-30=26 Current State: 32:[78, 96, 26], Operations: ['56-30=26'] Exploring Operation: 78/26=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 78/26=3 Current State: 32:[96, 3], Operations: ['56-30=26', '78/26=3'] Exploring Operation: 96/3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 21, 85, 53, 43 ]
45
[ "21+85=106", "106/53=2", "43+2=45" ]
Current State: 45:[21, 85, 53, 43], Operations: [] Exploring Operation: 21+85=106, Resulting Numbers: [53, 43, 106] Generated Node #2: [53, 43, 106] from Operation: 21+85=106 Current State: 45:[53, 43, 106], Operations: ['21+85=106'] Exploring Operation: 106/53=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 106/53=2 Current State: 45:[43, 2], Operations: ['21+85=106', '106/53=2'] Exploring Operation: 43+2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 11, 84, 78, 72 ]
89
[ "11+84=95", "78-72=6", "95-6=89" ]
Current State: 89:[11, 84, 78, 72], Operations: [] Exploring Operation: 11+84=95, Resulting Numbers: [78, 72, 95] Generated Node #2: [78, 72, 95] from Operation: 11+84=95 Current State: 89:[78, 72, 95], Operations: ['11+84=95'] Exploring Operation: 78-72=6, Resulting Numbers: [95, 6] Generated Node #3: [95, 6] from Operation: 78-72=6 Current State: 89:[95, 6], Operations: ['11+84=95', '78-72=6'] Exploring Operation: 95-6=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 72, 94, 11, 64 ]
62
[ "94-72=22", "22/11=2", "64-2=62" ]
Current State: 62:[72, 94, 11, 64], Operations: [] Exploring Operation: 94-72=22, Resulting Numbers: [11, 64, 22] Generated Node #2: [11, 64, 22] from Operation: 94-72=22 Current State: 62:[11, 64, 22], Operations: ['94-72=22'] Exploring Operation: 22/11=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 22/11=2 Current State: 62:[64, 2], Operations: ['94-72=22', '22/11=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 36, 90, 11, 48 ]
89
[ "36+90=126", "48-11=37", "126-37=89" ]
Current State: 89:[36, 90, 11, 48], Operations: [] Exploring Operation: 36+90=126, Resulting Numbers: [11, 48, 126] Generated Node #2: [11, 48, 126] from Operation: 36+90=126 Current State: 89:[11, 48, 126], Operations: ['36+90=126'] Exploring Operation: 48-11=37, Resulting Numbers: [126, 37] Generated Node #3: [126, 37] from Operation: 48-11=37 Current State: 89:[126, 37], Operations: ['36+90=126', '48-11=37'] Exploring Operation: 126-37=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 98, 7, 35, 16 ]
87
[ "98-16=82", "35/7=5", "82+5=87" ]
Current State: 87:[98, 7, 35, 16], Operations: [] Exploring Operation: 98-16=82, Resulting Numbers: [7, 35, 82] Generated Node #2: [7, 35, 82] from Operation: 98-16=82 Current State: 87:[7, 35, 82], Operations: ['98-16=82'] 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: ['98-16=82', '35/7=5'] Exploring Operation: 82+5=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 51, 65, 83, 2 ]
46
[ "51*2=102", "65+83=148", "148-102=46" ]
Current State: 46:[51, 65, 83, 2], Operations: [] Exploring Operation: 51*2=102, Resulting Numbers: [65, 83, 102] Generated Node #2: [65, 83, 102] from Operation: 51*2=102 Current State: 46:[65, 83, 102], Operations: ['51*2=102'] Exploring Operation: 65+83=148, Resulting Numbers: [102, 148] Generated Node #3: [102, 148] from Operation: 65+83=148 Current State: 46:[102, 148], Operations: ['51*2=102', '65+83=148'] Exploring Operation: 148-102=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 5, 72, 99, 49 ]
63
[ "5+72=77", "99*49=4851", "4851/77=63" ]
Current State: 63:[5, 72, 99, 49], Operations: [] Exploring Operation: 5+72=77, Resulting Numbers: [99, 49, 77] Generated Node #2: [99, 49, 77] from Operation: 5+72=77 Current State: 63:[99, 49, 77], Operations: ['5+72=77'] Exploring Operation: 99*49=4851, Resulting Numbers: [77, 4851] Generated Node #3: [77, 4851] from Operation: 99*49=4851 Current State: 63:[77, 4851], Operations: ['5+72=77', '99*49=4851'] Exploring Operation: 4851/77=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 31, 19, 55, 19 ]
31
[ "19-19=0", "55*0=0", "31+0=31" ]
Current State: 31:[31, 19, 55, 19], Operations: [] Exploring Operation: 19-19=0, Resulting Numbers: [31, 55, 0] Generated Node #2: [31, 55, 0] from Operation: 19-19=0 Current State: 31:[31, 55, 0], Operations: ['19-19=0'] Exploring Operation: 55*0=0, Resulting Numbers: [31, 0] Generated Node #3: [31, 0] from Operation: 55*0=0 Current State: 31:[31, 0], Operations: ['19-19=0', '55*0=0'] Exploring Operation: 31+0=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 64, 96, 39, 10 ]
16
[ "64*39=2496", "2496/96=26", "26-10=16" ]
Current State: 16:[64, 96, 39, 10], Operations: [] Exploring Operation: 64*39=2496, Resulting Numbers: [96, 10, 2496] Generated Node #2: [96, 10, 2496] from Operation: 64*39=2496 Current State: 16:[96, 10, 2496], Operations: ['64*39=2496'] Exploring Operation: 2496/96=26, Resulting Numbers: [10, 26] Generated Node #3: [10, 26] from Operation: 2496/96=26 Current State: 16:[10, 26], Operations: ['64*39=2496', '2496/96=26'] Exploring Operation: 26-10=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 55, 49, 40, 65 ]
22
[ "65-49=16", "55*16=880", "880/40=22" ]
Current State: 22:[55, 49, 40, 65], Operations: [] Exploring Operation: 65-49=16, Resulting Numbers: [55, 40, 16] Generated Node #2: [55, 40, 16] from Operation: 65-49=16 Current State: 22:[55, 40, 16], Operations: ['65-49=16'] Exploring Operation: 55*16=880, Resulting Numbers: [40, 880] Generated Node #3: [40, 880] from Operation: 55*16=880 Current State: 22:[40, 880], Operations: ['65-49=16', '55*16=880'] Exploring Operation: 880/40=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 80, 72, 85, 67 ]
33
[ "80+85=165", "72-67=5", "165/5=33" ]
Current State: 33:[80, 72, 85, 67], Operations: [] Exploring Operation: 80+85=165, Resulting Numbers: [72, 67, 165] Generated Node #2: [72, 67, 165] from Operation: 80+85=165 Current State: 33:[72, 67, 165], Operations: ['80+85=165'] Exploring Operation: 72-67=5, Resulting Numbers: [165, 5] Generated Node #3: [165, 5] from Operation: 72-67=5 Current State: 33:[165, 5], Operations: ['80+85=165', '72-67=5'] Exploring Operation: 165/5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 88, 77, 38, 3 ]
24
[ "88-77=11", "38-3=35", "35-11=24" ]
Current State: 24:[88, 77, 38, 3], Operations: [] Exploring Operation: 88-77=11, Resulting Numbers: [38, 3, 11] Generated Node #2: [38, 3, 11] from Operation: 88-77=11 Current State: 24:[38, 3, 11], Operations: ['88-77=11'] Exploring Operation: 38-3=35, Resulting Numbers: [11, 35] Generated Node #3: [11, 35] from Operation: 38-3=35 Current State: 24:[11, 35], Operations: ['88-77=11', '38-3=35'] Exploring Operation: 35-11=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 20, 24, 21, 37 ]
96
[ "20+21=41", "41-37=4", "24*4=96" ]
Current State: 96:[20, 24, 21, 37], Operations: [] Exploring Operation: 20+21=41, Resulting Numbers: [24, 37, 41] Generated Node #2: [24, 37, 41] from Operation: 20+21=41 Current State: 96:[24, 37, 41], Operations: ['20+21=41'] Exploring Operation: 41-37=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 41-37=4 Current State: 96:[24, 4], Operations: ['20+21=41', '41-37=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 56, 76, 14, 1 ]
71
[ "56/14=4", "76-1=75", "75-4=71" ]
Current State: 71:[56, 76, 14, 1], Operations: [] Exploring Operation: 56/14=4, Resulting Numbers: [76, 1, 4] Generated Node #2: [76, 1, 4] from Operation: 56/14=4 Current State: 71:[76, 1, 4], Operations: ['56/14=4'] Exploring Operation: 76-1=75, Resulting Numbers: [4, 75] Generated Node #3: [4, 75] from Operation: 76-1=75 Current State: 71:[4, 75], Operations: ['56/14=4', '76-1=75'] Exploring Operation: 75-4=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 99, 13, 72, 83 ]
24
[ "99-13=86", "86-83=3", "72/3=24" ]
Current State: 24:[99, 13, 72, 83], Operations: [] Exploring Operation: 99-13=86, Resulting Numbers: [72, 83, 86] Generated Node #2: [72, 83, 86] from Operation: 99-13=86 Current State: 24:[72, 83, 86], Operations: ['99-13=86'] Exploring Operation: 86-83=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 86-83=3 Current State: 24:[72, 3], Operations: ['99-13=86', '86-83=3'] Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 95, 4, 34, 38 ]
94
[ "4+34=38", "38/38=1", "95-1=94" ]
Current State: 94:[95, 4, 34, 38], Operations: [] Exploring Operation: 4+34=38, Resulting Numbers: [95, 38, 38] Generated Node #2: [95, 38, 38] from Operation: 4+34=38 Current State: 94:[95, 38, 38], Operations: ['4+34=38'] Exploring Operation: 38/38=1, Resulting Numbers: [95, 1] Generated Node #3: [95, 1] from Operation: 38/38=1 Current State: 94:[95, 1], Operations: ['4+34=38', '38/38=1'] Exploring Operation: 95-1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 84, 80, 36, 16 ]
24
[ "84-80=4", "36-16=20", "4+20=24" ]
Current State: 24:[84, 80, 36, 16], Operations: [] Exploring Operation: 84-80=4, Resulting Numbers: [36, 16, 4] Generated Node #2: [36, 16, 4] from Operation: 84-80=4 Current State: 24:[36, 16, 4], Operations: ['84-80=4'] Exploring Operation: 36-16=20, Resulting Numbers: [4, 20] Generated Node #3: [4, 20] from Operation: 36-16=20 Current State: 24:[4, 20], Operations: ['84-80=4', '36-16=20'] Exploring Operation: 4+20=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 67, 21, 2, 40 ]
69
[ "67-40=27", "21*2=42", "27+42=69" ]
Current State: 69:[67, 21, 2, 40], Operations: [] Exploring Operation: 67-40=27, Resulting Numbers: [21, 2, 27] Generated Node #2: [21, 2, 27] from Operation: 67-40=27 Current State: 69:[21, 2, 27], Operations: ['67-40=27'] Exploring Operation: 21*2=42, Resulting Numbers: [27, 42] Generated Node #3: [27, 42] from Operation: 21*2=42 Current State: 69:[27, 42], Operations: ['67-40=27', '21*2=42'] Exploring Operation: 27+42=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 34, 99, 2, 37 ]
31
[ "37-34=3", "99/3=33", "33-2=31" ]
Current State: 31:[34, 99, 2, 37], Operations: [] Exploring Operation: 37-34=3, Resulting Numbers: [99, 2, 3] Generated Node #2: [99, 2, 3] from Operation: 37-34=3 Current State: 31:[99, 2, 3], Operations: ['37-34=3'] Exploring Operation: 99/3=33, Resulting Numbers: [2, 33] Generated Node #3: [2, 33] from Operation: 99/3=33 Current State: 31:[2, 33], Operations: ['37-34=3', '99/3=33'] Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 56, 40, 85, 45 ]
57
[ "85-40=45", "45/45=1", "56+1=57" ]
Current State: 57:[56, 40, 85, 45], Operations: [] Exploring Operation: 85-40=45, Resulting Numbers: [56, 45, 45] Generated Node #2: [56, 45, 45] from Operation: 85-40=45 Current State: 57:[56, 45, 45], Operations: ['85-40=45'] Exploring Operation: 45/45=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 45/45=1 Current State: 57:[56, 1], Operations: ['85-40=45', '45/45=1'] Exploring Operation: 56+1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 9, 49, 24, 27 ]
57
[ "9*24=216", "216/27=8", "49+8=57" ]
Current State: 57:[9, 49, 24, 27], Operations: [] Exploring Operation: 9*24=216, Resulting Numbers: [49, 27, 216] Generated Node #2: [49, 27, 216] from Operation: 9*24=216 Current State: 57:[49, 27, 216], Operations: ['9*24=216'] Exploring Operation: 216/27=8, Resulting Numbers: [49, 8] Generated Node #3: [49, 8] from Operation: 216/27=8 Current State: 57:[49, 8], Operations: ['9*24=216', '216/27=8'] Exploring Operation: 49+8=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 40, 54, 60, 57 ]
23
[ "40+54=94", "60+57=117", "117-94=23" ]
Current State: 23:[40, 54, 60, 57], Operations: [] Exploring Operation: 40+54=94, Resulting Numbers: [60, 57, 94] Generated Node #2: [60, 57, 94] from Operation: 40+54=94 Current State: 23:[60, 57, 94], Operations: ['40+54=94'] Exploring Operation: 60+57=117, Resulting Numbers: [94, 117] Generated Node #3: [94, 117] from Operation: 60+57=117 Current State: 23:[94, 117], Operations: ['40+54=94', '60+57=117'] Exploring Operation: 117-94=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 98, 36, 28, 4 ]
74
[ "98-28=70", "36*4=144", "144-70=74" ]
Current State: 74:[98, 36, 28, 4], Operations: [] Exploring Operation: 98-28=70, Resulting Numbers: [36, 4, 70] Generated Node #2: [36, 4, 70] from Operation: 98-28=70 Current State: 74:[36, 4, 70], Operations: ['98-28=70'] Exploring Operation: 36*4=144, Resulting Numbers: [70, 144] Generated Node #3: [70, 144] from Operation: 36*4=144 Current State: 74:[70, 144], Operations: ['98-28=70', '36*4=144'] Exploring Operation: 144-70=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 48, 17, 11, 6 ]
20
[ "48/6=8", "17+11=28", "28-8=20" ]
Current State: 20:[48, 17, 11, 6], Operations: [] Exploring Operation: 48/6=8, Resulting Numbers: [17, 11, 8] Generated Node #2: [17, 11, 8] from Operation: 48/6=8 Current State: 20:[17, 11, 8], Operations: ['48/6=8'] Exploring Operation: 17+11=28, Resulting Numbers: [8, 28] Generated Node #3: [8, 28] from Operation: 17+11=28 Current State: 20:[8, 28], Operations: ['48/6=8', '17+11=28'] Exploring Operation: 28-8=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 77, 88, 21, 41 ]
17
[ "88*21=1848", "1848/77=24", "41-24=17" ]
Current State: 17:[77, 88, 21, 41], Operations: [] Exploring Operation: 88*21=1848, Resulting Numbers: [77, 41, 1848] Generated Node #2: [77, 41, 1848] from Operation: 88*21=1848 Current State: 17:[77, 41, 1848], Operations: ['88*21=1848'] Exploring Operation: 1848/77=24, Resulting Numbers: [41, 24] Generated Node #3: [41, 24] from Operation: 1848/77=24 Current State: 17:[41, 24], Operations: ['88*21=1848', '1848/77=24'] Exploring Operation: 41-24=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 45, 39, 24, 93 ]
97
[ "45-39=6", "24/6=4", "93+4=97" ]
Current State: 97:[45, 39, 24, 93], Operations: [] Exploring Operation: 45-39=6, Resulting Numbers: [24, 93, 6] Generated Node #2: [24, 93, 6] from Operation: 45-39=6 Current State: 97:[24, 93, 6], Operations: ['45-39=6'] Exploring Operation: 24/6=4, Resulting Numbers: [93, 4] Generated Node #3: [93, 4] from Operation: 24/6=4 Current State: 97:[93, 4], Operations: ['45-39=6', '24/6=4'] Exploring Operation: 93+4=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 68, 61, 81, 9 ]
56
[ "81-68=13", "9*13=117", "117-61=56" ]
Current State: 56:[68, 61, 81, 9], Operations: [] Exploring Operation: 81-68=13, Resulting Numbers: [61, 9, 13] Generated Node #2: [61, 9, 13] from Operation: 81-68=13 Current State: 56:[61, 9, 13], Operations: ['81-68=13'] Exploring Operation: 9*13=117, Resulting Numbers: [61, 117] Generated Node #3: [61, 117] from Operation: 9*13=117 Current State: 56:[61, 117], Operations: ['81-68=13', '9*13=117'] Exploring Operation: 117-61=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 30, 63, 98, 93 ]
99
[ "30+63=93", "93/93=1", "98+1=99" ]
Current State: 99:[30, 63, 98, 93], Operations: [] Exploring Operation: 30+63=93, Resulting Numbers: [98, 93, 93] Generated Node #2: [98, 93, 93] from Operation: 30+63=93 Current State: 99:[98, 93, 93], Operations: ['30+63=93'] Exploring Operation: 93/93=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 93/93=1 Current State: 99:[98, 1], Operations: ['30+63=93', '93/93=1'] Exploring Operation: 98+1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 35, 32, 14, 66 ]
42
[ "32+66=98", "98/14=7", "35+7=42" ]
Current State: 42:[35, 32, 14, 66], Operations: [] Exploring Operation: 32+66=98, Resulting Numbers: [35, 14, 98] Generated Node #2: [35, 14, 98] from Operation: 32+66=98 Current State: 42:[35, 14, 98], Operations: ['32+66=98'] Exploring Operation: 98/14=7, Resulting Numbers: [35, 7] Generated Node #3: [35, 7] from Operation: 98/14=7 Current State: 42:[35, 7], Operations: ['32+66=98', '98/14=7'] Exploring Operation: 35+7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 9, 8, 40, 12 ]
15
[ "12-9=3", "40/8=5", "3*5=15" ]
Current State: 15:[9, 8, 40, 12], Operations: [] Exploring Operation: 12-9=3, Resulting Numbers: [8, 40, 3] Generated Node #2: [8, 40, 3] from Operation: 12-9=3 Current State: 15:[8, 40, 3], Operations: ['12-9=3'] Exploring Operation: 40/8=5, Resulting Numbers: [3, 5] Generated Node #3: [3, 5] from Operation: 40/8=5 Current State: 15:[3, 5], Operations: ['12-9=3', '40/8=5'] Exploring Operation: 3*5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 48, 54, 65, 70 ]
33
[ "48+54=102", "65+70=135", "135-102=33" ]
Current State: 33:[48, 54, 65, 70], Operations: [] Exploring Operation: 48+54=102, Resulting Numbers: [65, 70, 102] Generated Node #2: [65, 70, 102] from Operation: 48+54=102 Current State: 33:[65, 70, 102], Operations: ['48+54=102'] Exploring Operation: 65+70=135, Resulting Numbers: [102, 135] Generated Node #3: [102, 135] from Operation: 65+70=135 Current State: 33:[102, 135], Operations: ['48+54=102', '65+70=135'] Exploring Operation: 135-102=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 57, 50, 60, 33 ]
39
[ "60-57=3", "33/3=11", "50-11=39" ]
Current State: 39:[57, 50, 60, 33], Operations: [] Exploring Operation: 60-57=3, Resulting Numbers: [50, 33, 3] Generated Node #2: [50, 33, 3] from Operation: 60-57=3 Current State: 39:[50, 33, 3], Operations: ['60-57=3'] Exploring Operation: 33/3=11, Resulting Numbers: [50, 11] Generated Node #3: [50, 11] from Operation: 33/3=11 Current State: 39:[50, 11], Operations: ['60-57=3', '33/3=11'] Exploring Operation: 50-11=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 58, 16, 78, 2 ]
89
[ "78-16=62", "62/2=31", "58+31=89" ]
Current State: 89:[58, 16, 78, 2], Operations: [] Exploring Operation: 78-16=62, Resulting Numbers: [58, 2, 62] Generated Node #2: [58, 2, 62] from Operation: 78-16=62 Current State: 89:[58, 2, 62], Operations: ['78-16=62'] Exploring Operation: 62/2=31, Resulting Numbers: [58, 31] Generated Node #3: [58, 31] from Operation: 62/2=31 Current State: 89:[58, 31], Operations: ['78-16=62', '62/2=31'] Exploring Operation: 58+31=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 13, 41, 21, 16 ]
17
[ "13+41=54", "21+16=37", "54-37=17" ]
Current State: 17:[13, 41, 21, 16], Operations: [] Exploring Operation: 13+41=54, Resulting Numbers: [21, 16, 54] Generated Node #2: [21, 16, 54] from Operation: 13+41=54 Current State: 17:[21, 16, 54], Operations: ['13+41=54'] Exploring Operation: 21+16=37, Resulting Numbers: [54, 37] Generated Node #3: [54, 37] from Operation: 21+16=37 Current State: 17:[54, 37], Operations: ['13+41=54', '21+16=37'] Exploring Operation: 54-37=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 11, 55, 74, 52 ]
82
[ "55-11=44", "74+52=126", "126-44=82" ]
Current State: 82:[11, 55, 74, 52], Operations: [] Exploring Operation: 55-11=44, Resulting Numbers: [74, 52, 44] Generated Node #2: [74, 52, 44] from Operation: 55-11=44 Current State: 82:[74, 52, 44], Operations: ['55-11=44'] Exploring Operation: 74+52=126, Resulting Numbers: [44, 126] Generated Node #3: [44, 126] from Operation: 74+52=126 Current State: 82:[44, 126], Operations: ['55-11=44', '74+52=126'] Exploring Operation: 126-44=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 30, 19, 91, 4 ]
12
[ "91-19=72", "72/4=18", "30-18=12" ]
Current State: 12:[30, 19, 91, 4], Operations: [] Exploring Operation: 91-19=72, Resulting Numbers: [30, 4, 72] Generated Node #2: [30, 4, 72] from Operation: 91-19=72 Current State: 12:[30, 4, 72], Operations: ['91-19=72'] Exploring Operation: 72/4=18, Resulting Numbers: [30, 18] Generated Node #3: [30, 18] from Operation: 72/4=18 Current State: 12:[30, 18], Operations: ['91-19=72', '72/4=18'] Exploring Operation: 30-18=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 68, 64, 20, 4 ]
64
[ "68-64=4", "20-4=16", "4*16=64" ]
Current State: 64:[68, 64, 20, 4], Operations: [] Exploring Operation: 68-64=4, Resulting Numbers: [20, 4, 4] Generated Node #2: [20, 4, 4] from Operation: 68-64=4 Current State: 64:[20, 4, 4], Operations: ['68-64=4'] Exploring Operation: 20-4=16, Resulting Numbers: [16] 16,64 equal: Goal Reached Exploring Operation: 4*16=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 61, 85, 29, 60 ]
66
[ "85+60=145", "145/29=5", "61+5=66" ]
Current State: 66:[61, 85, 29, 60], Operations: [] Exploring Operation: 85+60=145, Resulting Numbers: [61, 29, 145] Generated Node #2: [61, 29, 145] from Operation: 85+60=145 Current State: 66:[61, 29, 145], Operations: ['85+60=145'] Exploring Operation: 145/29=5, Resulting Numbers: [61, 5] Generated Node #3: [61, 5] from Operation: 145/29=5 Current State: 66:[61, 5], Operations: ['85+60=145', '145/29=5'] Exploring Operation: 61+5=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 95, 83, 17, 14 ]
60
[ "95+83=178", "17*14=238", "238-178=60" ]
Current State: 60:[95, 83, 17, 14], Operations: [] Exploring Operation: 95+83=178, Resulting Numbers: [17, 14, 178] Generated Node #2: [17, 14, 178] from Operation: 95+83=178 Current State: 60:[17, 14, 178], Operations: ['95+83=178'] Exploring Operation: 17*14=238, Resulting Numbers: [178, 238] Generated Node #3: [178, 238] from Operation: 17*14=238 Current State: 60:[178, 238], Operations: ['95+83=178', '17*14=238'] Exploring Operation: 238-178=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 35, 51, 40, 80 ]
67
[ "40-35=5", "80/5=16", "51+16=67" ]
Current State: 67:[35, 51, 40, 80], Operations: [] Exploring Operation: 40-35=5, Resulting Numbers: [51, 80, 5] Generated Node #2: [51, 80, 5] from Operation: 40-35=5 Current State: 67:[51, 80, 5], Operations: ['40-35=5'] Exploring Operation: 80/5=16, Resulting Numbers: [51, 16] Generated Node #3: [51, 16] from Operation: 80/5=16 Current State: 67:[51, 16], Operations: ['40-35=5', '80/5=16'] Exploring Operation: 51+16=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 48, 64, 94, 72 ]
38
[ "64-48=16", "94-72=22", "16+22=38" ]
Current State: 38:[48, 64, 94, 72], Operations: [] Exploring Operation: 64-48=16, Resulting Numbers: [94, 72, 16] Generated Node #2: [94, 72, 16] from Operation: 64-48=16 Current State: 38:[94, 72, 16], Operations: ['64-48=16'] Exploring Operation: 94-72=22, Resulting Numbers: [16, 22] Generated Node #3: [16, 22] from Operation: 94-72=22 Current State: 38:[16, 22], Operations: ['64-48=16', '94-72=22'] Exploring Operation: 16+22=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4