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
[ 54, 26, 30, 62 ]
31
[ "54-26=28", "30-28=2", "62/2=31" ]
Current State: 31:[54, 26, 30, 62], Operations: [] Exploring Operation: 54-26=28, Resulting Numbers: [30, 62, 28] Generated Node #2: [30, 62, 28] from Operation: 54-26=28 Current State: 31:[30, 62, 28], Operations: ['54-26=28'] Exploring Operation: 30-28=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 30-28=2 Current State: 31:[62, 2], Operations: ['54-26=28', '30-28=2'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 9, 22, 6, 68 ]
80
[ "9*68=612", "612/6=102", "102-22=80" ]
Current State: 80:[9, 22, 6, 68], Operations: [] Exploring Operation: 9*68=612, Resulting Numbers: [22, 6, 612] Generated Node #2: [22, 6, 612] from Operation: 9*68=612 Current State: 80:[22, 6, 612], Operations: ['9*68=612'] Exploring Operation: 612/6=102, Resulting Numbers: [22, 102] Generated Node #3: [22, 102] from Operation: 612/6=102 Current State: 80:[22, 102], Operations: ['9*68=612', '612/6=102'] Exploring Operation: 102-22=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 22, 66, 33, 38 ]
98
[ "66/33=2", "38*2=76", "22+76=98" ]
Current State: 98:[22, 66, 33, 38], Operations: [] Exploring Operation: 66/33=2, Resulting Numbers: [22, 38, 2] Generated Node #2: [22, 38, 2] from Operation: 66/33=2 Current State: 98:[22, 38, 2], Operations: ['66/33=2'] Exploring Operation: 38*2=76, Resulting Numbers: [22, 76] Generated Node #3: [22, 76] from Operation: 38*2=76 Current State: 98:[22, 76], Operations: ['66/33=2', '38*2=76'] Exploring Operation: 22+76=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 3, 66, 90, 34 ]
61
[ "66-3=63", "90+34=124", "124-63=61" ]
Current State: 61:[3, 66, 90, 34], Operations: [] Exploring Operation: 66-3=63, Resulting Numbers: [90, 34, 63] Generated Node #2: [90, 34, 63] from Operation: 66-3=63 Current State: 61:[90, 34, 63], Operations: ['66-3=63'] Exploring Operation: 90+34=124, Resulting Numbers: [63, 124] Generated Node #3: [63, 124] from Operation: 90+34=124 Current State: 61:[63, 124], Operations: ['66-3=63', '90+34=124'] Exploring Operation: 124-63=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 9, 7, 3, 46 ]
59
[ "9+7=16", "46-3=43", "16+43=59" ]
Current State: 59:[9, 7, 3, 46], Operations: [] Exploring Operation: 9+7=16, Resulting Numbers: [3, 46, 16] Generated Node #2: [3, 46, 16] from Operation: 9+7=16 Current State: 59:[3, 46, 16], Operations: ['9+7=16'] Exploring Operation: 46-3=43, Resulting Numbers: [16, 43] Generated Node #3: [16, 43] from Operation: 46-3=43 Current State: 59:[16, 43], Operations: ['9+7=16', '46-3=43'] Exploring Operation: 16+43=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 28, 41, 87, 39 ]
21
[ "28+41=69", "87-39=48", "69-48=21" ]
Current State: 21:[28, 41, 87, 39], Operations: [] Exploring Operation: 28+41=69, Resulting Numbers: [87, 39, 69] Generated Node #2: [87, 39, 69] from Operation: 28+41=69 Current State: 21:[87, 39, 69], Operations: ['28+41=69'] Exploring Operation: 87-39=48, Resulting Numbers: [69, 48] Generated Node #3: [69, 48] from Operation: 87-39=48 Current State: 21:[69, 48], Operations: ['28+41=69', '87-39=48'] Exploring Operation: 69-48=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 8, 81, 68, 4 ]
64
[ "8-4=4", "68/4=17", "81-17=64" ]
Current State: 64:[8, 81, 68, 4], Operations: [] Exploring Operation: 8-4=4, Resulting Numbers: [81, 68, 4] Generated Node #2: [81, 68, 4] from Operation: 8-4=4 Current State: 64:[81, 68, 4], Operations: ['8-4=4'] Exploring Operation: 68/4=17, Resulting Numbers: [81, 17] Generated Node #3: [81, 17] from Operation: 68/4=17 Current State: 64:[81, 17], Operations: ['8-4=4', '68/4=17'] Exploring Operation: 81-17=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 73, 3, 72, 67 ]
30
[ "73-67=6", "72/3=24", "6+24=30" ]
Current State: 30:[73, 3, 72, 67], Operations: [] Exploring Operation: 73-67=6, Resulting Numbers: [3, 72, 6] Generated Node #2: [3, 72, 6] from Operation: 73-67=6 Current State: 30:[3, 72, 6], Operations: ['73-67=6'] Exploring Operation: 72/3=24, Resulting Numbers: [6, 24] Generated Node #3: [6, 24] from Operation: 72/3=24 Current State: 30:[6, 24], Operations: ['73-67=6', '72/3=24'] Exploring Operation: 6+24=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 41, 10, 24, 13 ]
98
[ "41*10=410", "24*13=312", "410-312=98" ]
Current State: 98:[41, 10, 24, 13], Operations: [] Exploring Operation: 41*10=410, Resulting Numbers: [24, 13, 410] Generated Node #2: [24, 13, 410] from Operation: 41*10=410 Current State: 98:[24, 13, 410], Operations: ['41*10=410'] Exploring Operation: 24*13=312, Resulting Numbers: [410, 312] Generated Node #3: [410, 312] from Operation: 24*13=312 Current State: 98:[410, 312], Operations: ['41*10=410', '24*13=312'] Exploring Operation: 410-312=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 63, 80, 26, 50 ]
93
[ "80-63=17", "26+50=76", "17+76=93" ]
Current State: 93:[63, 80, 26, 50], Operations: [] Exploring Operation: 80-63=17, Resulting Numbers: [26, 50, 17] Generated Node #2: [26, 50, 17] from Operation: 80-63=17 Current State: 93:[26, 50, 17], Operations: ['80-63=17'] Exploring Operation: 26+50=76, Resulting Numbers: [17, 76] Generated Node #3: [17, 76] from Operation: 26+50=76 Current State: 93:[17, 76], Operations: ['80-63=17', '26+50=76'] Exploring Operation: 17+76=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 41, 22, 75, 31 ]
41
[ "22*75=1650", "31+1650=1681", "1681/41=41" ]
Current State: 41:[41, 22, 75, 31], Operations: [] Exploring Operation: 22*75=1650, Resulting Numbers: [41, 31, 1650] Generated Node #2: [41, 31, 1650] from Operation: 22*75=1650 Current State: 41:[41, 31, 1650], Operations: ['22*75=1650'] Exploring Operation: 31+1650=1681, Resulting Numbers: [41, 1681] Generated Node #3: [41, 1681] from Operation: 31+1650=1681 Current State: 41:[41, 1681], Operations: ['22*75=1650', '31+1650=1681'] Exploring Operation: 1681/41=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 10, 11, 9, 26 ]
77
[ "10+9=19", "26-19=7", "11*7=77" ]
Current State: 77:[10, 11, 9, 26], Operations: [] Exploring Operation: 10+9=19, Resulting Numbers: [11, 26, 19] Generated Node #2: [11, 26, 19] from Operation: 10+9=19 Current State: 77:[11, 26, 19], Operations: ['10+9=19'] Exploring Operation: 26-19=7, Resulting Numbers: [11, 7] Generated Node #3: [11, 7] from Operation: 26-19=7 Current State: 77:[11, 7], Operations: ['10+9=19', '26-19=7'] Exploring Operation: 11*7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 64, 92, 40, 49 ]
22
[ "40*49=1960", "64+1960=2024", "2024/92=22" ]
Current State: 22:[64, 92, 40, 49], Operations: [] Exploring Operation: 40*49=1960, Resulting Numbers: [64, 92, 1960] Generated Node #2: [64, 92, 1960] from Operation: 40*49=1960 Current State: 22:[64, 92, 1960], Operations: ['40*49=1960'] Exploring Operation: 64+1960=2024, Resulting Numbers: [92, 2024] Generated Node #3: [92, 2024] from Operation: 64+1960=2024 Current State: 22:[92, 2024], Operations: ['40*49=1960', '64+1960=2024'] Exploring Operation: 2024/92=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 55, 54, 41, 71 ]
99
[ "55*54=2970", "71-41=30", "2970/30=99" ]
Current State: 99:[55, 54, 41, 71], Operations: [] Exploring Operation: 55*54=2970, Resulting Numbers: [41, 71, 2970] Generated Node #2: [41, 71, 2970] from Operation: 55*54=2970 Current State: 99:[41, 71, 2970], Operations: ['55*54=2970'] Exploring Operation: 71-41=30, Resulting Numbers: [2970, 30] Generated Node #3: [2970, 30] from Operation: 71-41=30 Current State: 99:[2970, 30], Operations: ['55*54=2970', '71-41=30'] Exploring Operation: 2970/30=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 7, 65, 29, 75 ]
49
[ "65+75=140", "140/7=20", "29+20=49" ]
Current State: 49:[7, 65, 29, 75], Operations: [] Exploring Operation: 65+75=140, Resulting Numbers: [7, 29, 140] Generated Node #2: [7, 29, 140] from Operation: 65+75=140 Current State: 49:[7, 29, 140], Operations: ['65+75=140'] Exploring Operation: 140/7=20, Resulting Numbers: [29, 20] Generated Node #3: [29, 20] from Operation: 140/7=20 Current State: 49:[29, 20], Operations: ['65+75=140', '140/7=20'] Exploring Operation: 29+20=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 57, 31, 36, 30 ]
40
[ "57-31=26", "36+30=66", "66-26=40" ]
Current State: 40:[57, 31, 36, 30], Operations: [] Exploring Operation: 57-31=26, Resulting Numbers: [36, 30, 26] Generated Node #2: [36, 30, 26] from Operation: 57-31=26 Current State: 40:[36, 30, 26], Operations: ['57-31=26'] Exploring Operation: 36+30=66, Resulting Numbers: [26, 66] Generated Node #3: [26, 66] from Operation: 36+30=66 Current State: 40:[26, 66], Operations: ['57-31=26', '36+30=66'] Exploring Operation: 66-26=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 40, 26, 71, 87 ]
30
[ "40-26=14", "87-71=16", "14+16=30" ]
Current State: 30:[40, 26, 71, 87], Operations: [] Exploring Operation: 40-26=14, Resulting Numbers: [71, 87, 14] Generated Node #2: [71, 87, 14] from Operation: 40-26=14 Current State: 30:[71, 87, 14], Operations: ['40-26=14'] Exploring Operation: 87-71=16, Resulting Numbers: [14, 16] Generated Node #3: [14, 16] from Operation: 87-71=16 Current State: 30:[14, 16], Operations: ['40-26=14', '87-71=16'] Exploring Operation: 14+16=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 54, 42, 21, 27 ]
25
[ "54-27=27", "42/21=2", "27-2=25" ]
Current State: 25:[54, 42, 21, 27], Operations: [] Exploring Operation: 54-27=27, Resulting Numbers: [42, 21, 27] Generated Node #2: [42, 21, 27] from Operation: 54-27=27 Current State: 25:[42, 21, 27], Operations: ['54-27=27'] Exploring Operation: 42/21=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 42/21=2 Current State: 25:[27, 2], Operations: ['54-27=27', '42/21=2'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 20, 31, 47, 83 ]
33
[ "20*47=940", "83+940=1023", "1023/31=33" ]
Current State: 33:[20, 31, 47, 83], Operations: [] Exploring Operation: 20*47=940, Resulting Numbers: [31, 83, 940] Generated Node #2: [31, 83, 940] from Operation: 20*47=940 Current State: 33:[31, 83, 940], Operations: ['20*47=940'] Exploring Operation: 83+940=1023, Resulting Numbers: [31, 1023] Generated Node #3: [31, 1023] from Operation: 83+940=1023 Current State: 33:[31, 1023], Operations: ['20*47=940', '83+940=1023'] Exploring Operation: 1023/31=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 9, 92, 62, 60 ]
85
[ "92-9=83", "62-60=2", "83+2=85" ]
Current State: 85:[9, 92, 62, 60], Operations: [] Exploring Operation: 92-9=83, Resulting Numbers: [62, 60, 83] Generated Node #2: [62, 60, 83] from Operation: 92-9=83 Current State: 85:[62, 60, 83], Operations: ['92-9=83'] Exploring Operation: 62-60=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 62-60=2 Current State: 85:[83, 2], Operations: ['92-9=83', '62-60=2'] Exploring Operation: 83+2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 64, 24, 44, 8 ]
47
[ "64+8=72", "72/24=3", "44+3=47" ]
Current State: 47:[64, 24, 44, 8], Operations: [] Exploring Operation: 64+8=72, Resulting Numbers: [24, 44, 72] Generated Node #2: [24, 44, 72] from Operation: 64+8=72 Current State: 47:[24, 44, 72], Operations: ['64+8=72'] Exploring Operation: 72/24=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 72/24=3 Current State: 47:[44, 3], Operations: ['64+8=72', '72/24=3'] Exploring Operation: 44+3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 16, 29, 10, 52 ]
12
[ "29+10=39", "16*39=624", "624/52=12" ]
Current State: 12:[16, 29, 10, 52], Operations: [] Exploring Operation: 29+10=39, Resulting Numbers: [16, 52, 39] Generated Node #2: [16, 52, 39] from Operation: 29+10=39 Current State: 12:[16, 52, 39], Operations: ['29+10=39'] Exploring Operation: 16*39=624, Resulting Numbers: [52, 624] Generated Node #3: [52, 624] from Operation: 16*39=624 Current State: 12:[52, 624], Operations: ['29+10=39', '16*39=624'] Exploring Operation: 624/52=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 89, 9, 72, 73 ]
54
[ "89+73=162", "162/9=18", "72-18=54" ]
Current State: 54:[89, 9, 72, 73], Operations: [] Exploring Operation: 89+73=162, Resulting Numbers: [9, 72, 162] Generated Node #2: [9, 72, 162] from Operation: 89+73=162 Current State: 54:[9, 72, 162], Operations: ['89+73=162'] Exploring Operation: 162/9=18, Resulting Numbers: [72, 18] Generated Node #3: [72, 18] from Operation: 162/9=18 Current State: 54:[72, 18], Operations: ['89+73=162', '162/9=18'] Exploring Operation: 72-18=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 56, 8, 54, 18 ]
80
[ "8*54=432", "432/18=24", "56+24=80" ]
Current State: 80:[56, 8, 54, 18], Operations: [] Exploring Operation: 8*54=432, Resulting Numbers: [56, 18, 432] Generated Node #2: [56, 18, 432] from Operation: 8*54=432 Current State: 80:[56, 18, 432], Operations: ['8*54=432'] Exploring Operation: 432/18=24, Resulting Numbers: [56, 24] Generated Node #3: [56, 24] from Operation: 432/18=24 Current State: 80:[56, 24], Operations: ['8*54=432', '432/18=24'] Exploring Operation: 56+24=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 25, 30, 55, 40 ]
53
[ "40-25=15", "30/15=2", "55-2=53" ]
Current State: 53:[25, 30, 55, 40], Operations: [] Exploring Operation: 40-25=15, Resulting Numbers: [30, 55, 15] Generated Node #2: [30, 55, 15] from Operation: 40-25=15 Current State: 53:[30, 55, 15], Operations: ['40-25=15'] Exploring Operation: 30/15=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 30/15=2 Current State: 53:[55, 2], Operations: ['40-25=15', '30/15=2'] Exploring Operation: 55-2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 53, 31, 21, 79 ]
82
[ "53*31=1643", "79+1643=1722", "1722/21=82" ]
Current State: 82:[53, 31, 21, 79], Operations: [] Exploring Operation: 53*31=1643, Resulting Numbers: [21, 79, 1643] Generated Node #2: [21, 79, 1643] from Operation: 53*31=1643 Current State: 82:[21, 79, 1643], Operations: ['53*31=1643'] Exploring Operation: 79+1643=1722, Resulting Numbers: [21, 1722] Generated Node #3: [21, 1722] from Operation: 79+1643=1722 Current State: 82:[21, 1722], Operations: ['53*31=1643', '79+1643=1722'] Exploring Operation: 1722/21=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 34, 60, 77, 24 ]
12
[ "77-60=17", "34/17=2", "24/2=12" ]
Current State: 12:[34, 60, 77, 24], Operations: [] Exploring Operation: 77-60=17, Resulting Numbers: [34, 24, 17] Generated Node #2: [34, 24, 17] from Operation: 77-60=17 Current State: 12:[34, 24, 17], Operations: ['77-60=17'] Exploring Operation: 34/17=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 34/17=2 Current State: 12:[24, 2], Operations: ['77-60=17', '34/17=2'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 72, 54, 65, 59 ]
63
[ "65-59=6", "54/6=9", "72-9=63" ]
Current State: 63:[72, 54, 65, 59], Operations: [] Exploring Operation: 65-59=6, Resulting Numbers: [72, 54, 6] Generated Node #2: [72, 54, 6] from Operation: 65-59=6 Current State: 63:[72, 54, 6], Operations: ['65-59=6'] Exploring Operation: 54/6=9, Resulting Numbers: [72, 9] Generated Node #3: [72, 9] from Operation: 54/6=9 Current State: 63:[72, 9], Operations: ['65-59=6', '54/6=9'] Exploring Operation: 72-9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 27, 85, 4, 95 ]
98
[ "27*4=108", "95-85=10", "108-10=98" ]
Current State: 98:[27, 85, 4, 95], Operations: [] Exploring Operation: 27*4=108, Resulting Numbers: [85, 95, 108] Generated Node #2: [85, 95, 108] from Operation: 27*4=108 Current State: 98:[85, 95, 108], Operations: ['27*4=108'] Exploring Operation: 95-85=10, Resulting Numbers: [108, 10] Generated Node #3: [108, 10] from Operation: 95-85=10 Current State: 98:[108, 10], Operations: ['27*4=108', '95-85=10'] Exploring Operation: 108-10=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 74, 79, 14, 11 ]
71
[ "74+14=88", "88/11=8", "79-8=71" ]
Current State: 71:[74, 79, 14, 11], Operations: [] Exploring Operation: 74+14=88, Resulting Numbers: [79, 11, 88] Generated Node #2: [79, 11, 88] from Operation: 74+14=88 Current State: 71:[79, 11, 88], Operations: ['74+14=88'] Exploring Operation: 88/11=8, Resulting Numbers: [79, 8] Generated Node #3: [79, 8] from Operation: 88/11=8 Current State: 71:[79, 8], Operations: ['74+14=88', '88/11=8'] Exploring Operation: 79-8=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 78, 18, 18, 39 ]
78
[ "18-18=0", "39*0=0", "78+0=78" ]
Current State: 78:[78, 18, 18, 39], Operations: [] Exploring Operation: 18-18=0, Resulting Numbers: [78, 39, 0] Generated Node #2: [78, 39, 0] from Operation: 18-18=0 Current State: 78:[78, 39, 0], Operations: ['18-18=0'] Exploring Operation: 39*0=0, Resulting Numbers: [78, 0] Generated Node #3: [78, 0] from Operation: 39*0=0 Current State: 78:[78, 0], Operations: ['18-18=0', '39*0=0'] Exploring Operation: 78+0=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 71, 29, 35, 3 ]
74
[ "71-29=42", "35-3=32", "42+32=74" ]
Current State: 74:[71, 29, 35, 3], Operations: [] Exploring Operation: 71-29=42, Resulting Numbers: [35, 3, 42] Generated Node #2: [35, 3, 42] from Operation: 71-29=42 Current State: 74:[35, 3, 42], Operations: ['71-29=42'] Exploring Operation: 35-3=32, Resulting Numbers: [42, 32] Generated Node #3: [42, 32] from Operation: 35-3=32 Current State: 74:[42, 32], Operations: ['71-29=42', '35-3=32'] Exploring Operation: 42+32=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 84, 74, 28, 21 ]
17
[ "84-74=10", "28-21=7", "10+7=17" ]
Current State: 17:[84, 74, 28, 21], Operations: [] Exploring Operation: 84-74=10, Resulting Numbers: [28, 21, 10] Generated Node #2: [28, 21, 10] from Operation: 84-74=10 Current State: 17:[28, 21, 10], Operations: ['84-74=10'] Exploring Operation: 28-21=7, Resulting Numbers: [10, 7] Generated Node #3: [10, 7] from Operation: 28-21=7 Current State: 17:[10, 7], Operations: ['84-74=10', '28-21=7'] Exploring Operation: 10+7=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 65, 22, 32, 5 ]
80
[ "65-22=43", "32+5=37", "43+37=80" ]
Current State: 80:[65, 22, 32, 5], Operations: [] Exploring Operation: 65-22=43, Resulting Numbers: [32, 5, 43] Generated Node #2: [32, 5, 43] from Operation: 65-22=43 Current State: 80:[32, 5, 43], Operations: ['65-22=43'] Exploring Operation: 32+5=37, Resulting Numbers: [43, 37] Generated Node #3: [43, 37] from Operation: 32+5=37 Current State: 80:[43, 37], Operations: ['65-22=43', '32+5=37'] Exploring Operation: 43+37=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 61, 7, 54, 18 ]
40
[ "7*54=378", "378/18=21", "61-21=40" ]
Current State: 40:[61, 7, 54, 18], Operations: [] Exploring Operation: 7*54=378, Resulting Numbers: [61, 18, 378] Generated Node #2: [61, 18, 378] from Operation: 7*54=378 Current State: 40:[61, 18, 378], Operations: ['7*54=378'] Exploring Operation: 378/18=21, Resulting Numbers: [61, 21] Generated Node #3: [61, 21] from Operation: 378/18=21 Current State: 40:[61, 21], Operations: ['7*54=378', '378/18=21'] Exploring Operation: 61-21=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 18, 45, 52, 8 ]
17
[ "45-18=27", "52-8=44", "44-27=17" ]
Current State: 17:[18, 45, 52, 8], Operations: [] Exploring Operation: 45-18=27, Resulting Numbers: [52, 8, 27] Generated Node #2: [52, 8, 27] from Operation: 45-18=27 Current State: 17:[52, 8, 27], Operations: ['45-18=27'] Exploring Operation: 52-8=44, Resulting Numbers: [27, 44] Generated Node #3: [27, 44] from Operation: 52-8=44 Current State: 17:[27, 44], Operations: ['45-18=27', '52-8=44'] Exploring Operation: 44-27=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 35, 39, 7, 29 ]
35
[ "39-29=10", "7*10=70", "70-35=35" ]
Current State: 35:[35, 39, 7, 29], Operations: [] Exploring Operation: 39-29=10, Resulting Numbers: [35, 7, 10] Generated Node #2: [35, 7, 10] from Operation: 39-29=10 Current State: 35:[35, 7, 10], Operations: ['39-29=10'] Exploring Operation: 7*10=70, Resulting Numbers: [35, 70] Generated Node #3: [35, 70] from Operation: 7*10=70 Current State: 35:[35, 70], Operations: ['39-29=10', '7*10=70'] Exploring Operation: 70-35=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 25, 56, 19, 28 ]
46
[ "25+19=44", "56/28=2", "44+2=46" ]
Current State: 46:[25, 56, 19, 28], Operations: [] Exploring Operation: 25+19=44, Resulting Numbers: [56, 28, 44] Generated Node #2: [56, 28, 44] from Operation: 25+19=44 Current State: 46:[56, 28, 44], Operations: ['25+19=44'] Exploring Operation: 56/28=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 56/28=2 Current State: 46:[44, 2], Operations: ['25+19=44', '56/28=2'] Exploring Operation: 44+2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 2, 20, 37, 23 ]
29
[ "2*23=46", "37-20=17", "46-17=29" ]
Current State: 29:[2, 20, 37, 23], Operations: [] Exploring Operation: 2*23=46, Resulting Numbers: [20, 37, 46] Generated Node #2: [20, 37, 46] from Operation: 2*23=46 Current State: 29:[20, 37, 46], Operations: ['2*23=46'] Exploring Operation: 37-20=17, Resulting Numbers: [46, 17] Generated Node #3: [46, 17] from Operation: 37-20=17 Current State: 29:[46, 17], Operations: ['2*23=46', '37-20=17'] Exploring Operation: 46-17=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 73, 79, 57, 38 ]
13
[ "79-73=6", "57-38=19", "19-6=13" ]
Current State: 13:[73, 79, 57, 38], Operations: [] Exploring Operation: 79-73=6, Resulting Numbers: [57, 38, 6] Generated Node #2: [57, 38, 6] from Operation: 79-73=6 Current State: 13:[57, 38, 6], Operations: ['79-73=6'] Exploring Operation: 57-38=19, Resulting Numbers: [6, 19] Generated Node #3: [6, 19] from Operation: 57-38=19 Current State: 13:[6, 19], Operations: ['79-73=6', '57-38=19'] Exploring Operation: 19-6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 3, 88, 61, 66 ]
90
[ "88-3=85", "66-61=5", "85+5=90" ]
Current State: 90:[3, 88, 61, 66], Operations: [] Exploring Operation: 88-3=85, Resulting Numbers: [61, 66, 85] Generated Node #2: [61, 66, 85] from Operation: 88-3=85 Current State: 90:[61, 66, 85], Operations: ['88-3=85'] Exploring Operation: 66-61=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 66-61=5 Current State: 90:[85, 5], Operations: ['88-3=85', '66-61=5'] Exploring Operation: 85+5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 15, 55, 76, 49 ]
85
[ "55-15=40", "76+49=125", "125-40=85" ]
Current State: 85:[15, 55, 76, 49], Operations: [] Exploring Operation: 55-15=40, Resulting Numbers: [76, 49, 40] Generated Node #2: [76, 49, 40] from Operation: 55-15=40 Current State: 85:[76, 49, 40], Operations: ['55-15=40'] Exploring Operation: 76+49=125, Resulting Numbers: [40, 125] Generated Node #3: [40, 125] from Operation: 76+49=125 Current State: 85:[40, 125], Operations: ['55-15=40', '76+49=125'] Exploring Operation: 125-40=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 39, 2, 63, 54 ]
91
[ "39*2=78", "63*78=4914", "4914/54=91" ]
Current State: 91:[39, 2, 63, 54], Operations: [] Exploring Operation: 39*2=78, Resulting Numbers: [63, 54, 78] Generated Node #2: [63, 54, 78] from Operation: 39*2=78 Current State: 91:[63, 54, 78], Operations: ['39*2=78'] Exploring Operation: 63*78=4914, Resulting Numbers: [54, 4914] Generated Node #3: [54, 4914] from Operation: 63*78=4914 Current State: 91:[54, 4914], Operations: ['39*2=78', '63*78=4914'] Exploring Operation: 4914/54=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 4, 40, 83, 28 ]
58
[ "83*28=2324", "2324-4=2320", "2320/40=58" ]
Current State: 58:[4, 40, 83, 28], Operations: [] Exploring Operation: 83*28=2324, Resulting Numbers: [4, 40, 2324] Generated Node #2: [4, 40, 2324] from Operation: 83*28=2324 Current State: 58:[4, 40, 2324], Operations: ['83*28=2324'] Exploring Operation: 2324-4=2320, Resulting Numbers: [40, 2320] Generated Node #3: [40, 2320] from Operation: 2324-4=2320 Current State: 58:[40, 2320], Operations: ['83*28=2324', '2324-4=2320'] Exploring Operation: 2320/40=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 65, 91, 3, 42 ]
66
[ "65+91=156", "42+156=198", "198/3=66" ]
Current State: 66:[65, 91, 3, 42], Operations: [] Exploring Operation: 65+91=156, Resulting Numbers: [3, 42, 156] Generated Node #2: [3, 42, 156] from Operation: 65+91=156 Current State: 66:[3, 42, 156], Operations: ['65+91=156'] Exploring Operation: 42+156=198, Resulting Numbers: [3, 198] Generated Node #3: [3, 198] from Operation: 42+156=198 Current State: 66:[3, 198], Operations: ['65+91=156', '42+156=198'] Exploring Operation: 198/3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 4, 3, 84, 34 ]
24
[ "84/3=28", "34-28=6", "4*6=24" ]
Current State: 24:[4, 3, 84, 34], Operations: [] Exploring Operation: 84/3=28, Resulting Numbers: [4, 34, 28] Generated Node #2: [4, 34, 28] from Operation: 84/3=28 Current State: 24:[4, 34, 28], Operations: ['84/3=28'] Exploring Operation: 34-28=6, Resulting Numbers: [4, 6] Generated Node #3: [4, 6] from Operation: 34-28=6 Current State: 24:[4, 6], Operations: ['84/3=28', '34-28=6'] Exploring Operation: 4*6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 34, 68, 31, 3 ]
65
[ "34+68=102", "102/3=34", "31+34=65" ]
Current State: 65:[34, 68, 31, 3], Operations: [] Exploring Operation: 34+68=102, Resulting Numbers: [31, 3, 102] Generated Node #2: [31, 3, 102] from Operation: 34+68=102 Current State: 65:[31, 3, 102], Operations: ['34+68=102'] Exploring Operation: 102/3=34, Resulting Numbers: [31, 34] Generated Node #3: [31, 34] from Operation: 102/3=34 Current State: 65:[31, 34], Operations: ['34+68=102', '102/3=34'] Exploring Operation: 31+34=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 37, 14, 90, 84 ]
52
[ "14*90=1260", "1260/84=15", "37+15=52" ]
Current State: 52:[37, 14, 90, 84], Operations: [] Exploring Operation: 14*90=1260, Resulting Numbers: [37, 84, 1260] Generated Node #2: [37, 84, 1260] from Operation: 14*90=1260 Current State: 52:[37, 84, 1260], Operations: ['14*90=1260'] Exploring Operation: 1260/84=15, Resulting Numbers: [37, 15] Generated Node #3: [37, 15] from Operation: 1260/84=15 Current State: 52:[37, 15], Operations: ['14*90=1260', '1260/84=15'] Exploring Operation: 37+15=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 61, 26, 50, 2 ]
17
[ "61-26=35", "50+2=52", "52-35=17" ]
Current State: 17:[61, 26, 50, 2], Operations: [] Exploring Operation: 61-26=35, Resulting Numbers: [50, 2, 35] Generated Node #2: [50, 2, 35] from Operation: 61-26=35 Current State: 17:[50, 2, 35], Operations: ['61-26=35'] Exploring Operation: 50+2=52, Resulting Numbers: [35, 52] Generated Node #3: [35, 52] from Operation: 50+2=52 Current State: 17:[35, 52], Operations: ['61-26=35', '50+2=52'] Exploring Operation: 52-35=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 67, 6, 88, 90 ]
79
[ "90-88=2", "6*2=12", "67+12=79" ]
Current State: 79:[67, 6, 88, 90], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [67, 6, 2] Generated Node #2: [67, 6, 2] from Operation: 90-88=2 Current State: 79:[67, 6, 2], Operations: ['90-88=2'] Exploring Operation: 6*2=12, Resulting Numbers: [67, 12] Generated Node #3: [67, 12] from Operation: 6*2=12 Current State: 79:[67, 12], Operations: ['90-88=2', '6*2=12'] Exploring Operation: 67+12=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 27, 44, 54, 26 ]
99
[ "27+44=71", "54-26=28", "71+28=99" ]
Current State: 99:[27, 44, 54, 26], Operations: [] Exploring Operation: 27+44=71, Resulting Numbers: [54, 26, 71] Generated Node #2: [54, 26, 71] from Operation: 27+44=71 Current State: 99:[54, 26, 71], Operations: ['27+44=71'] Exploring Operation: 54-26=28, Resulting Numbers: [71, 28] Generated Node #3: [71, 28] from Operation: 54-26=28 Current State: 99:[71, 28], Operations: ['27+44=71', '54-26=28'] Exploring Operation: 71+28=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 69, 43, 87, 74 ]
39
[ "69-43=26", "87-74=13", "26+13=39" ]
Current State: 39:[69, 43, 87, 74], Operations: [] Exploring Operation: 69-43=26, Resulting Numbers: [87, 74, 26] Generated Node #2: [87, 74, 26] from Operation: 69-43=26 Current State: 39:[87, 74, 26], Operations: ['69-43=26'] Exploring Operation: 87-74=13, Resulting Numbers: [26, 13] Generated Node #3: [26, 13] from Operation: 87-74=13 Current State: 39:[26, 13], Operations: ['69-43=26', '87-74=13'] Exploring Operation: 26+13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 33, 55, 88, 25 ]
25
[ "33+55=88", "88+25=113", "113-88=25" ]
Current State: 25:[33, 55, 88, 25], Operations: [] Exploring Operation: 33+55=88, Resulting Numbers: [88, 25, 88] Generated Node #2: [88, 25, 88] from Operation: 33+55=88 Current State: 25:[88, 25, 88], Operations: ['33+55=88'] Exploring Operation: 88+25=113, Resulting Numbers: [113] 113,25 equal: Goal Reached Exploring Operation: 113-88=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 38, 33, 85, 47 ]
32
[ "85-38=47", "47/47=1", "33-1=32" ]
Current State: 32:[38, 33, 85, 47], Operations: [] Exploring Operation: 85-38=47, Resulting Numbers: [33, 47, 47] Generated Node #2: [33, 47, 47] from Operation: 85-38=47 Current State: 32:[33, 47, 47], Operations: ['85-38=47'] Exploring Operation: 47/47=1, Resulting Numbers: [33, 1] Generated Node #3: [33, 1] from Operation: 47/47=1 Current State: 32:[33, 1], Operations: ['85-38=47', '47/47=1'] Exploring Operation: 33-1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 31, 58, 68, 2 ]
19
[ "31+58=89", "68+2=70", "89-70=19" ]
Current State: 19:[31, 58, 68, 2], Operations: [] Exploring Operation: 31+58=89, Resulting Numbers: [68, 2, 89] Generated Node #2: [68, 2, 89] from Operation: 31+58=89 Current State: 19:[68, 2, 89], Operations: ['31+58=89'] Exploring Operation: 68+2=70, Resulting Numbers: [89, 70] Generated Node #3: [89, 70] from Operation: 68+2=70 Current State: 19:[89, 70], Operations: ['31+58=89', '68+2=70'] Exploring Operation: 89-70=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 36, 32, 16, 40 ]
12
[ "36+32=68", "16+40=56", "68-56=12" ]
Current State: 12:[36, 32, 16, 40], Operations: [] Exploring Operation: 36+32=68, Resulting Numbers: [16, 40, 68] Generated Node #2: [16, 40, 68] from Operation: 36+32=68 Current State: 12:[16, 40, 68], Operations: ['36+32=68'] Exploring Operation: 16+40=56, Resulting Numbers: [68, 56] Generated Node #3: [68, 56] from Operation: 16+40=56 Current State: 12:[68, 56], Operations: ['36+32=68', '16+40=56'] Exploring Operation: 68-56=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 18, 3, 21, 67 ]
34
[ "18*3=54", "21+67=88", "88-54=34" ]
Current State: 34:[18, 3, 21, 67], Operations: [] Exploring Operation: 18*3=54, Resulting Numbers: [21, 67, 54] Generated Node #2: [21, 67, 54] from Operation: 18*3=54 Current State: 34:[21, 67, 54], Operations: ['18*3=54'] Exploring Operation: 21+67=88, Resulting Numbers: [54, 88] Generated Node #3: [54, 88] from Operation: 21+67=88 Current State: 34:[54, 88], Operations: ['18*3=54', '21+67=88'] Exploring Operation: 88-54=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 45, 6, 47, 23 ]
92
[ "45+6=51", "51-47=4", "23*4=92" ]
Current State: 92:[45, 6, 47, 23], Operations: [] Exploring Operation: 45+6=51, Resulting Numbers: [47, 23, 51] Generated Node #2: [47, 23, 51] from Operation: 45+6=51 Current State: 92:[47, 23, 51], Operations: ['45+6=51'] Exploring Operation: 51-47=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 51-47=4 Current State: 92:[23, 4], Operations: ['45+6=51', '51-47=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 36, 64, 4, 48 ]
80
[ "64-36=28", "4+48=52", "28+52=80" ]
Current State: 80:[36, 64, 4, 48], Operations: [] Exploring Operation: 64-36=28, Resulting Numbers: [4, 48, 28] Generated Node #2: [4, 48, 28] from Operation: 64-36=28 Current State: 80:[4, 48, 28], Operations: ['64-36=28'] Exploring Operation: 4+48=52, Resulting Numbers: [28, 52] Generated Node #3: [28, 52] from Operation: 4+48=52 Current State: 80:[28, 52], Operations: ['64-36=28', '4+48=52'] Exploring Operation: 28+52=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 2, 25, 18, 38 ]
83
[ "2+25=27", "18+38=56", "27+56=83" ]
Current State: 83:[2, 25, 18, 38], Operations: [] Exploring Operation: 2+25=27, Resulting Numbers: [18, 38, 27] Generated Node #2: [18, 38, 27] from Operation: 2+25=27 Current State: 83:[18, 38, 27], Operations: ['2+25=27'] Exploring Operation: 18+38=56, Resulting Numbers: [27, 56] Generated Node #3: [27, 56] from Operation: 18+38=56 Current State: 83:[27, 56], Operations: ['2+25=27', '18+38=56'] Exploring Operation: 27+56=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 81, 45, 12, 45 ]
68
[ "81-12=69", "45/45=1", "69-1=68" ]
Current State: 68:[81, 45, 12, 45], Operations: [] Exploring Operation: 81-12=69, Resulting Numbers: [45, 45, 69] Generated Node #2: [45, 45, 69] from Operation: 81-12=69 Current State: 68:[45, 45, 69], Operations: ['81-12=69'] Exploring Operation: 45/45=1, Resulting Numbers: [69, 1] Generated Node #3: [69, 1] from Operation: 45/45=1 Current State: 68:[69, 1], Operations: ['81-12=69', '45/45=1'] Exploring Operation: 69-1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 73, 98, 93, 10 ]
78
[ "98-73=25", "93+10=103", "103-25=78" ]
Current State: 78:[73, 98, 93, 10], Operations: [] Exploring Operation: 98-73=25, Resulting Numbers: [93, 10, 25] Generated Node #2: [93, 10, 25] from Operation: 98-73=25 Current State: 78:[93, 10, 25], Operations: ['98-73=25'] Exploring Operation: 93+10=103, Resulting Numbers: [25, 103] Generated Node #3: [25, 103] from Operation: 93+10=103 Current State: 78:[25, 103], Operations: ['98-73=25', '93+10=103'] Exploring Operation: 103-25=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 56, 43, 94, 77 ]
82
[ "56+43=99", "94-77=17", "99-17=82" ]
Current State: 82:[56, 43, 94, 77], Operations: [] Exploring Operation: 56+43=99, Resulting Numbers: [94, 77, 99] Generated Node #2: [94, 77, 99] from Operation: 56+43=99 Current State: 82:[94, 77, 99], Operations: ['56+43=99'] Exploring Operation: 94-77=17, Resulting Numbers: [99, 17] Generated Node #3: [99, 17] from Operation: 94-77=17 Current State: 82:[99, 17], Operations: ['56+43=99', '94-77=17'] Exploring Operation: 99-17=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 65, 29, 5, 68 ]
52
[ "65/5=13", "68-29=39", "13+39=52" ]
Current State: 52:[65, 29, 5, 68], Operations: [] Exploring Operation: 65/5=13, Resulting Numbers: [29, 68, 13] Generated Node #2: [29, 68, 13] from Operation: 65/5=13 Current State: 52:[29, 68, 13], Operations: ['65/5=13'] Exploring Operation: 68-29=39, Resulting Numbers: [13, 39] Generated Node #3: [13, 39] from Operation: 68-29=39 Current State: 52:[13, 39], Operations: ['65/5=13', '68-29=39'] Exploring Operation: 13+39=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 34, 3, 36, 35 ]
67
[ "36-34=2", "35*2=70", "70-3=67" ]
Current State: 67:[34, 3, 36, 35], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [3, 35, 2] Generated Node #2: [3, 35, 2] from Operation: 36-34=2 Current State: 67:[3, 35, 2], Operations: ['36-34=2'] Exploring Operation: 35*2=70, Resulting Numbers: [3, 70] Generated Node #3: [3, 70] from Operation: 35*2=70 Current State: 67:[3, 70], Operations: ['36-34=2', '35*2=70'] Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 64, 14, 54, 12 ]
36
[ "64+14=78", "54-12=42", "78-42=36" ]
Current State: 36:[64, 14, 54, 12], Operations: [] Exploring Operation: 64+14=78, Resulting Numbers: [54, 12, 78] Generated Node #2: [54, 12, 78] from Operation: 64+14=78 Current State: 36:[54, 12, 78], Operations: ['64+14=78'] Exploring Operation: 54-12=42, Resulting Numbers: [78, 42] Generated Node #3: [78, 42] from Operation: 54-12=42 Current State: 36:[78, 42], Operations: ['64+14=78', '54-12=42'] Exploring Operation: 78-42=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 72, 43, 73, 79 ]
23
[ "72-43=29", "79-73=6", "29-6=23" ]
Current State: 23:[72, 43, 73, 79], Operations: [] Exploring Operation: 72-43=29, Resulting Numbers: [73, 79, 29] Generated Node #2: [73, 79, 29] from Operation: 72-43=29 Current State: 23:[73, 79, 29], Operations: ['72-43=29'] Exploring Operation: 79-73=6, Resulting Numbers: [29, 6] Generated Node #3: [29, 6] from Operation: 79-73=6 Current State: 23:[29, 6], Operations: ['72-43=29', '79-73=6'] Exploring Operation: 29-6=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 17, 65, 42, 22 ]
17
[ "65-42=23", "23-22=1", "17*1=17" ]
Current State: 17:[17, 65, 42, 22], Operations: [] Exploring Operation: 65-42=23, Resulting Numbers: [17, 22, 23] Generated Node #2: [17, 22, 23] from Operation: 65-42=23 Current State: 17:[17, 22, 23], Operations: ['65-42=23'] Exploring Operation: 23-22=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 23-22=1 Current State: 17:[17, 1], Operations: ['65-42=23', '23-22=1'] Exploring Operation: 17*1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 28, 37, 24, 88 ]
59
[ "28-24=4", "88/4=22", "37+22=59" ]
Current State: 59:[28, 37, 24, 88], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [37, 88, 4] Generated Node #2: [37, 88, 4] from Operation: 28-24=4 Current State: 59:[37, 88, 4], Operations: ['28-24=4'] Exploring Operation: 88/4=22, Resulting Numbers: [37, 22] Generated Node #3: [37, 22] from Operation: 88/4=22 Current State: 59:[37, 22], Operations: ['28-24=4', '88/4=22'] Exploring Operation: 37+22=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 45, 88, 8, 38 ]
94
[ "45+38=83", "88/8=11", "83+11=94" ]
Current State: 94:[45, 88, 8, 38], Operations: [] Exploring Operation: 45+38=83, Resulting Numbers: [88, 8, 83] Generated Node #2: [88, 8, 83] from Operation: 45+38=83 Current State: 94:[88, 8, 83], Operations: ['45+38=83'] Exploring Operation: 88/8=11, Resulting Numbers: [83, 11] Generated Node #3: [83, 11] from Operation: 88/8=11 Current State: 94:[83, 11], Operations: ['45+38=83', '88/8=11'] Exploring Operation: 83+11=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 13, 23, 7, 6 ]
35
[ "13+23=36", "7-6=1", "36-1=35" ]
Current State: 35:[13, 23, 7, 6], Operations: [] Exploring Operation: 13+23=36, Resulting Numbers: [7, 6, 36] Generated Node #2: [7, 6, 36] from Operation: 13+23=36 Current State: 35:[7, 6, 36], Operations: ['13+23=36'] Exploring Operation: 7-6=1, Resulting Numbers: [36, 1] Generated Node #3: [36, 1] from Operation: 7-6=1 Current State: 35:[36, 1], Operations: ['13+23=36', '7-6=1'] Exploring Operation: 36-1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 70, 80, 70, 28 ]
80
[ "70-70=0", "28*0=0", "80+0=80" ]
Current State: 80:[70, 80, 70, 28], Operations: [] Exploring Operation: 70-70=0, Resulting Numbers: [80, 28, 0] Generated Node #2: [80, 28, 0] from Operation: 70-70=0 Current State: 80:[80, 28, 0], Operations: ['70-70=0'] Exploring Operation: 28*0=0, Resulting Numbers: [80, 0] Generated Node #3: [80, 0] from Operation: 28*0=0 Current State: 80:[80, 0], Operations: ['70-70=0', '28*0=0'] Exploring Operation: 80+0=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 16, 1, 10, 63 ]
36
[ "16+1=17", "63-10=53", "53-17=36" ]
Current State: 36:[16, 1, 10, 63], Operations: [] Exploring Operation: 16+1=17, Resulting Numbers: [10, 63, 17] Generated Node #2: [10, 63, 17] from Operation: 16+1=17 Current State: 36:[10, 63, 17], Operations: ['16+1=17'] Exploring Operation: 63-10=53, Resulting Numbers: [17, 53] Generated Node #3: [17, 53] from Operation: 63-10=53 Current State: 36:[17, 53], Operations: ['16+1=17', '63-10=53'] Exploring Operation: 53-17=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 79, 6, 32, 7 ]
48
[ "79-6=73", "32-7=25", "73-25=48" ]
Current State: 48:[79, 6, 32, 7], Operations: [] Exploring Operation: 79-6=73, Resulting Numbers: [32, 7, 73] Generated Node #2: [32, 7, 73] from Operation: 79-6=73 Current State: 48:[32, 7, 73], Operations: ['79-6=73'] Exploring Operation: 32-7=25, Resulting Numbers: [73, 25] Generated Node #3: [73, 25] from Operation: 32-7=25 Current State: 48:[73, 25], Operations: ['79-6=73', '32-7=25'] Exploring Operation: 73-25=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 96, 91, 30, 47 ]
12
[ "96-91=5", "47-30=17", "17-5=12" ]
Current State: 12:[96, 91, 30, 47], Operations: [] Exploring Operation: 96-91=5, Resulting Numbers: [30, 47, 5] Generated Node #2: [30, 47, 5] from Operation: 96-91=5 Current State: 12:[30, 47, 5], Operations: ['96-91=5'] Exploring Operation: 47-30=17, Resulting Numbers: [5, 17] Generated Node #3: [5, 17] from Operation: 47-30=17 Current State: 12:[5, 17], Operations: ['96-91=5', '47-30=17'] Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 3, 49, 66, 6 ]
75
[ "3*49=147", "66+6=72", "147-72=75" ]
Current State: 75:[3, 49, 66, 6], Operations: [] Exploring Operation: 3*49=147, Resulting Numbers: [66, 6, 147] Generated Node #2: [66, 6, 147] from Operation: 3*49=147 Current State: 75:[66, 6, 147], Operations: ['3*49=147'] Exploring Operation: 66+6=72, Resulting Numbers: [147, 72] Generated Node #3: [147, 72] from Operation: 66+6=72 Current State: 75:[147, 72], Operations: ['3*49=147', '66+6=72'] Exploring Operation: 147-72=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 13, 66, 33, 49 ]
60
[ "13+49=62", "66/33=2", "62-2=60" ]
Current State: 60:[13, 66, 33, 49], Operations: [] Exploring Operation: 13+49=62, Resulting Numbers: [66, 33, 62] Generated Node #2: [66, 33, 62] from Operation: 13+49=62 Current State: 60:[66, 33, 62], Operations: ['13+49=62'] Exploring Operation: 66/33=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 66/33=2 Current State: 60:[62, 2], Operations: ['13+49=62', '66/33=2'] Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 82, 33, 88, 56 ]
95
[ "82-33=49", "88+56=144", "144-49=95" ]
Current State: 95:[82, 33, 88, 56], Operations: [] Exploring Operation: 82-33=49, Resulting Numbers: [88, 56, 49] Generated Node #2: [88, 56, 49] from Operation: 82-33=49 Current State: 95:[88, 56, 49], Operations: ['82-33=49'] Exploring Operation: 88+56=144, Resulting Numbers: [49, 144] Generated Node #3: [49, 144] from Operation: 88+56=144 Current State: 95:[49, 144], Operations: ['82-33=49', '88+56=144'] Exploring Operation: 144-49=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 34, 55, 43, 42 ]
41
[ "55-34=21", "42/21=2", "43-2=41" ]
Current State: 41:[34, 55, 43, 42], Operations: [] Exploring Operation: 55-34=21, Resulting Numbers: [43, 42, 21] Generated Node #2: [43, 42, 21] from Operation: 55-34=21 Current State: 41:[43, 42, 21], Operations: ['55-34=21'] Exploring Operation: 42/21=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 42/21=2 Current State: 41:[43, 2], Operations: ['55-34=21', '42/21=2'] Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 2, 55, 21, 40 ]
28
[ "55-21=34", "2*34=68", "68-40=28" ]
Current State: 28:[2, 55, 21, 40], Operations: [] Exploring Operation: 55-21=34, Resulting Numbers: [2, 40, 34] Generated Node #2: [2, 40, 34] from Operation: 55-21=34 Current State: 28:[2, 40, 34], Operations: ['55-21=34'] Exploring Operation: 2*34=68, Resulting Numbers: [40, 68] Generated Node #3: [40, 68] from Operation: 2*34=68 Current State: 28:[40, 68], Operations: ['55-21=34', '2*34=68'] Exploring Operation: 68-40=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 13, 39, 43, 2 ]
54
[ "43-13=30", "30/2=15", "39+15=54" ]
Current State: 54:[13, 39, 43, 2], Operations: [] Exploring Operation: 43-13=30, Resulting Numbers: [39, 2, 30] Generated Node #2: [39, 2, 30] from Operation: 43-13=30 Current State: 54:[39, 2, 30], Operations: ['43-13=30'] Exploring Operation: 30/2=15, Resulting Numbers: [39, 15] Generated Node #3: [39, 15] from Operation: 30/2=15 Current State: 54:[39, 15], Operations: ['43-13=30', '30/2=15'] Exploring Operation: 39+15=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 62, 35, 3, 61 ]
86
[ "62+35=97", "3*61=183", "183-97=86" ]
Current State: 86:[62, 35, 3, 61], Operations: [] Exploring Operation: 62+35=97, Resulting Numbers: [3, 61, 97] Generated Node #2: [3, 61, 97] from Operation: 62+35=97 Current State: 86:[3, 61, 97], Operations: ['62+35=97'] Exploring Operation: 3*61=183, Resulting Numbers: [97, 183] Generated Node #3: [97, 183] from Operation: 3*61=183 Current State: 86:[97, 183], Operations: ['62+35=97', '3*61=183'] Exploring Operation: 183-97=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 97, 83, 61, 69 ]
50
[ "97+83=180", "61+69=130", "180-130=50" ]
Current State: 50:[97, 83, 61, 69], Operations: [] Exploring Operation: 97+83=180, Resulting Numbers: [61, 69, 180] Generated Node #2: [61, 69, 180] from Operation: 97+83=180 Current State: 50:[61, 69, 180], Operations: ['97+83=180'] Exploring Operation: 61+69=130, Resulting Numbers: [180, 130] Generated Node #3: [180, 130] from Operation: 61+69=130 Current State: 50:[180, 130], Operations: ['97+83=180', '61+69=130'] Exploring Operation: 180-130=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 61, 4, 81, 49 ]
27
[ "61-49=12", "4*81=324", "324/12=27" ]
Current State: 27:[61, 4, 81, 49], Operations: [] Exploring Operation: 61-49=12, Resulting Numbers: [4, 81, 12] Generated Node #2: [4, 81, 12] from Operation: 61-49=12 Current State: 27:[4, 81, 12], Operations: ['61-49=12'] Exploring Operation: 4*81=324, Resulting Numbers: [12, 324] Generated Node #3: [12, 324] from Operation: 4*81=324 Current State: 27:[12, 324], Operations: ['61-49=12', '4*81=324'] Exploring Operation: 324/12=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 68, 70, 12, 36 ]
22
[ "70-68=2", "36-12=24", "24-2=22" ]
Current State: 22:[68, 70, 12, 36], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [12, 36, 2] Generated Node #2: [12, 36, 2] from Operation: 70-68=2 Current State: 22:[12, 36, 2], Operations: ['70-68=2'] Exploring Operation: 36-12=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operation: 36-12=24 Current State: 22:[2, 24], Operations: ['70-68=2', '36-12=24'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 44, 42, 89, 71 ]
36
[ "44-42=2", "89-71=18", "2*18=36" ]
Current State: 36:[44, 42, 89, 71], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [89, 71, 2] Generated Node #2: [89, 71, 2] from Operation: 44-42=2 Current State: 36:[89, 71, 2], Operations: ['44-42=2'] Exploring Operation: 89-71=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 89-71=18 Current State: 36:[2, 18], Operations: ['44-42=2', '89-71=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 1, 59, 2, 38 ]
49
[ "1+59=60", "38+60=98", "98/2=49" ]
Current State: 49:[1, 59, 2, 38], Operations: [] Exploring Operation: 1+59=60, Resulting Numbers: [2, 38, 60] Generated Node #2: [2, 38, 60] from Operation: 1+59=60 Current State: 49:[2, 38, 60], Operations: ['1+59=60'] Exploring Operation: 38+60=98, Resulting Numbers: [2, 98] Generated Node #3: [2, 98] from Operation: 38+60=98 Current State: 49:[2, 98], Operations: ['1+59=60', '38+60=98'] Exploring Operation: 98/2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 30, 24, 1, 26 ]
100
[ "30-26=4", "24+1=25", "4*25=100" ]
Current State: 100:[30, 24, 1, 26], Operations: [] Exploring Operation: 30-26=4, Resulting Numbers: [24, 1, 4] Generated Node #2: [24, 1, 4] from Operation: 30-26=4 Current State: 100:[24, 1, 4], Operations: ['30-26=4'] Exploring Operation: 24+1=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 24+1=25 Current State: 100:[4, 25], Operations: ['30-26=4', '24+1=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 53, 35, 84, 8 ]
94
[ "53-35=18", "84-8=76", "18+76=94" ]
Current State: 94:[53, 35, 84, 8], Operations: [] Exploring Operation: 53-35=18, Resulting Numbers: [84, 8, 18] Generated Node #2: [84, 8, 18] from Operation: 53-35=18 Current State: 94:[84, 8, 18], Operations: ['53-35=18'] Exploring Operation: 84-8=76, Resulting Numbers: [18, 76] Generated Node #3: [18, 76] from Operation: 84-8=76 Current State: 94:[18, 76], Operations: ['53-35=18', '84-8=76'] Exploring Operation: 18+76=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 94, 57, 60, 61 ]
99
[ "94-61=33", "60-57=3", "33*3=99" ]
Current State: 99:[94, 57, 60, 61], Operations: [] Exploring Operation: 94-61=33, Resulting Numbers: [57, 60, 33] Generated Node #2: [57, 60, 33] from Operation: 94-61=33 Current State: 99:[57, 60, 33], Operations: ['94-61=33'] Exploring Operation: 60-57=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 60-57=3 Current State: 99:[33, 3], Operations: ['94-61=33', '60-57=3'] Exploring Operation: 33*3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 80, 99, 49, 59 ]
29
[ "99-80=19", "59-49=10", "19+10=29" ]
Current State: 29:[80, 99, 49, 59], Operations: [] Exploring Operation: 99-80=19, Resulting Numbers: [49, 59, 19] Generated Node #2: [49, 59, 19] from Operation: 99-80=19 Current State: 29:[49, 59, 19], Operations: ['99-80=19'] Exploring Operation: 59-49=10, Resulting Numbers: [19, 10] Generated Node #3: [19, 10] from Operation: 59-49=10 Current State: 29:[19, 10], Operations: ['99-80=19', '59-49=10'] Exploring Operation: 19+10=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 31, 48, 40, 45 ]
74
[ "31+48=79", "45-40=5", "79-5=74" ]
Current State: 74:[31, 48, 40, 45], Operations: [] Exploring Operation: 31+48=79, Resulting Numbers: [40, 45, 79] Generated Node #2: [40, 45, 79] from Operation: 31+48=79 Current State: 74:[40, 45, 79], Operations: ['31+48=79'] Exploring Operation: 45-40=5, Resulting Numbers: [79, 5] Generated Node #3: [79, 5] from Operation: 45-40=5 Current State: 74:[79, 5], Operations: ['31+48=79', '45-40=5'] Exploring Operation: 79-5=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 8, 2, 40, 62 ]
68
[ "62-8=54", "2*54=108", "108-40=68" ]
Current State: 68:[8, 2, 40, 62], Operations: [] Exploring Operation: 62-8=54, Resulting Numbers: [2, 40, 54] Generated Node #2: [2, 40, 54] from Operation: 62-8=54 Current State: 68:[2, 40, 54], Operations: ['62-8=54'] Exploring Operation: 2*54=108, Resulting Numbers: [40, 108] Generated Node #3: [40, 108] from Operation: 2*54=108 Current State: 68:[40, 108], Operations: ['62-8=54', '2*54=108'] Exploring Operation: 108-40=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 76, 50, 63, 4 ]
32
[ "76/4=19", "63-50=13", "19+13=32" ]
Current State: 32:[76, 50, 63, 4], Operations: [] Exploring Operation: 76/4=19, Resulting Numbers: [50, 63, 19] Generated Node #2: [50, 63, 19] from Operation: 76/4=19 Current State: 32:[50, 63, 19], Operations: ['76/4=19'] Exploring Operation: 63-50=13, Resulting Numbers: [19, 13] Generated Node #3: [19, 13] from Operation: 63-50=13 Current State: 32:[19, 13], Operations: ['76/4=19', '63-50=13'] Exploring Operation: 19+13=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 4, 43, 3, 40 ]
93
[ "40-4=36", "43*3=129", "129-36=93" ]
Current State: 93:[4, 43, 3, 40], Operations: [] Exploring Operation: 40-4=36, Resulting Numbers: [43, 3, 36] Generated Node #2: [43, 3, 36] from Operation: 40-4=36 Current State: 93:[43, 3, 36], Operations: ['40-4=36'] Exploring Operation: 43*3=129, Resulting Numbers: [36, 129] Generated Node #3: [36, 129] from Operation: 43*3=129 Current State: 93:[36, 129], Operations: ['40-4=36', '43*3=129'] Exploring Operation: 129-36=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 57, 8, 31, 23 ]
58
[ "31-8=23", "23/23=1", "57+1=58" ]
Current State: 58:[57, 8, 31, 23], Operations: [] Exploring Operation: 31-8=23, Resulting Numbers: [57, 23, 23] Generated Node #2: [57, 23, 23] from Operation: 31-8=23 Current State: 58:[57, 23, 23], Operations: ['31-8=23'] Exploring Operation: 23/23=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 23/23=1 Current State: 58:[57, 1], Operations: ['31-8=23', '23/23=1'] Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 64, 2, 1, 12 ]
74
[ "64-2=62", "1*12=12", "62+12=74" ]
Current State: 74:[64, 2, 1, 12], Operations: [] Exploring Operation: 64-2=62, Resulting Numbers: [1, 12, 62] Generated Node #2: [1, 12, 62] from Operation: 64-2=62 Current State: 74:[1, 12, 62], Operations: ['64-2=62'] Exploring Operation: 1*12=12, Resulting Numbers: [62, 12] Generated Node #3: [62, 12] from Operation: 1*12=12 Current State: 74:[62, 12], Operations: ['64-2=62', '1*12=12'] Exploring Operation: 62+12=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 46, 1, 85, 49 ]
88
[ "46*1=46", "85+49=134", "134-46=88" ]
Current State: 88:[46, 1, 85, 49], Operations: [] Exploring Operation: 46*1=46, Resulting Numbers: [85, 49, 46] Generated Node #2: [85, 49, 46] from Operation: 46*1=46 Current State: 88:[85, 49, 46], Operations: ['46*1=46'] Exploring Operation: 85+49=134, Resulting Numbers: [46, 134] Generated Node #3: [46, 134] from Operation: 85+49=134 Current State: 88:[46, 134], Operations: ['46*1=46', '85+49=134'] Exploring Operation: 134-46=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 72, 80, 49, 32 ]
47
[ "72-32=40", "80/40=2", "49-2=47" ]
Current State: 47:[72, 80, 49, 32], Operations: [] Exploring Operation: 72-32=40, Resulting Numbers: [80, 49, 40] Generated Node #2: [80, 49, 40] from Operation: 72-32=40 Current State: 47:[80, 49, 40], Operations: ['72-32=40'] Exploring Operation: 80/40=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 80/40=2 Current State: 47:[49, 2], Operations: ['72-32=40', '80/40=2'] Exploring Operation: 49-2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 55, 42, 13, 94 ]
93
[ "55-42=13", "13/13=1", "94-1=93" ]
Current State: 93:[55, 42, 13, 94], Operations: [] Exploring Operation: 55-42=13, Resulting Numbers: [13, 94, 13] Generated Node #2: [13, 94, 13] from Operation: 55-42=13 Current State: 93:[13, 94, 13], Operations: ['55-42=13'] Exploring Operation: 13/13=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 13/13=1 Current State: 93:[94, 1], Operations: ['55-42=13', '13/13=1'] Exploring Operation: 94-1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4