nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 91, 39, 6, 67 ]
69
[ "91+39=130", "67-6=61", "130-61=69" ]
Current State: 69:[91, 39, 6, 67], Operations: [] Exploring Operation: 91+39=130, Resulting Numbers: [6, 67, 130] Generated Node #2: [6, 67, 130] from Operation: 91+39=130 Current State: 69:[6, 67, 130], Operations: ['91+39=130'] Exploring Operation: 67-6=61, Resulting Numbers: [130, 61] Generated Node #3: [130, 61] from Operation: 67-6=61 Current State: 69:[130, 61], Operations: ['91+39=130', '67-6=61'] Exploring Operation: 130-61=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 51, 71, 99, 96 ]
54
[ "99-96=3", "51/3=17", "71-17=54" ]
Current State: 54:[51, 71, 99, 96], Operations: [] Exploring Operation: 99-96=3, Resulting Numbers: [51, 71, 3] Generated Node #2: [51, 71, 3] from Operation: 99-96=3 Current State: 54:[51, 71, 3], Operations: ['99-96=3'] Exploring Operation: 51/3=17, Resulting Numbers: [71, 17] Generated Node #3: [71, 17] from Operation: 51/3=17 Current State: 54:[71, 17], Operations: ['99-96=3', '51/3=17'] Exploring Operation: 71-17=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 61, 40, 59, 6 ]
36
[ "61+40=101", "59+6=65", "101-65=36" ]
Current State: 36:[61, 40, 59, 6], Operations: [] Exploring Operation: 61+40=101, Resulting Numbers: [59, 6, 101] Generated Node #2: [59, 6, 101] from Operation: 61+40=101 Current State: 36:[59, 6, 101], Operations: ['61+40=101'] Exploring Operation: 59+6=65, Resulting Numbers: [101, 65] Generated Node #3: [101, 65] from Operation: 59+6=65 Current State: 36:[101, 65], Operations: ['61+40=101', '59+6=65'] Exploring Operation: 101-65=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 52, 54, 61, 84 ]
78
[ "61-52=9", "54/9=6", "84-6=78" ]
Current State: 78:[52, 54, 61, 84], Operations: [] Exploring Operation: 61-52=9, Resulting Numbers: [54, 84, 9] Generated Node #2: [54, 84, 9] from Operation: 61-52=9 Current State: 78:[54, 84, 9], Operations: ['61-52=9'] Exploring Operation: 54/9=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 54/9=6 Current State: 78:[84, 6], Operations: ['61-52=9', '54/9=6'] Exploring Operation: 84-6=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 20, 55, 3, 88 ]
83
[ "20*3=60", "55+88=143", "143-60=83" ]
Current State: 83:[20, 55, 3, 88], Operations: [] Exploring Operation: 20*3=60, Resulting Numbers: [55, 88, 60] Generated Node #2: [55, 88, 60] from Operation: 20*3=60 Current State: 83:[55, 88, 60], Operations: ['20*3=60'] Exploring Operation: 55+88=143, Resulting Numbers: [60, 143] Generated Node #3: [60, 143] from Operation: 55+88=143 Current State: 83:[60, 143], Operations: ['20*3=60', '55+88=143'] Exploring Operation: 143-60=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 5, 97, 65, 35 ]
77
[ "65+35=100", "100/5=20", "97-20=77" ]
Current State: 77:[5, 97, 65, 35], Operations: [] Exploring Operation: 65+35=100, Resulting Numbers: [5, 97, 100] Generated Node #2: [5, 97, 100] from Operation: 65+35=100 Current State: 77:[5, 97, 100], Operations: ['65+35=100'] Exploring Operation: 100/5=20, Resulting Numbers: [97, 20] Generated Node #3: [97, 20] from Operation: 100/5=20 Current State: 77:[97, 20], Operations: ['65+35=100', '100/5=20'] Exploring Operation: 97-20=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 61, 62, 58, 41 ]
63
[ "61-58=3", "62-41=21", "3*21=63" ]
Current State: 63:[61, 62, 58, 41], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [62, 41, 3] Generated Node #2: [62, 41, 3] from Operation: 61-58=3 Current State: 63:[62, 41, 3], Operations: ['61-58=3'] Exploring Operation: 62-41=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 62-41=21 Current State: 63:[3, 21], Operations: ['61-58=3', '62-41=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 13, 26, 76, 88 ]
26
[ "13+76=89", "89-88=1", "26*1=26" ]
Current State: 26:[13, 26, 76, 88], Operations: [] Exploring Operation: 13+76=89, Resulting Numbers: [26, 88, 89] Generated Node #2: [26, 88, 89] from Operation: 13+76=89 Current State: 26:[26, 88, 89], Operations: ['13+76=89'] Exploring Operation: 89-88=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 89-88=1 Current State: 26:[26, 1], Operations: ['13+76=89', '89-88=1'] Exploring Operation: 26*1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 59, 53, 3, 31 ]
93
[ "59-53=6", "6-3=3", "31*3=93" ]
Current State: 93:[59, 53, 3, 31], Operations: [] Exploring Operation: 59-53=6, Resulting Numbers: [3, 31, 6] Generated Node #2: [3, 31, 6] from Operation: 59-53=6 Current State: 93:[3, 31, 6], Operations: ['59-53=6'] Exploring Operation: 6-3=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 6-3=3 Current State: 93:[31, 3], Operations: ['59-53=6', '6-3=3'] Exploring Operation: 31*3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 66, 7, 30, 11 ]
35
[ "66/11=6", "7*30=210", "210/6=35" ]
Current State: 35:[66, 7, 30, 11], Operations: [] Exploring Operation: 66/11=6, Resulting Numbers: [7, 30, 6] Generated Node #2: [7, 30, 6] from Operation: 66/11=6 Current State: 35:[7, 30, 6], Operations: ['66/11=6'] Exploring Operation: 7*30=210, Resulting Numbers: [6, 210] Generated Node #3: [6, 210] from Operation: 7*30=210 Current State: 35:[6, 210], Operations: ['66/11=6', '7*30=210'] Exploring Operation: 210/6=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 72, 36, 28, 96 ]
57
[ "72*28=2016", "2016/96=21", "36+21=57" ]
Current State: 57:[72, 36, 28, 96], Operations: [] Exploring Operation: 72*28=2016, Resulting Numbers: [36, 96, 2016] Generated Node #2: [36, 96, 2016] from Operation: 72*28=2016 Current State: 57:[36, 96, 2016], Operations: ['72*28=2016'] Exploring Operation: 2016/96=21, Resulting Numbers: [36, 21] Generated Node #3: [36, 21] from Operation: 2016/96=21 Current State: 57:[36, 21], Operations: ['72*28=2016', '2016/96=21'] Exploring Operation: 36+21=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 51, 31, 67, 96 ]
37
[ "67-51=16", "96/16=6", "31+6=37" ]
Current State: 37:[51, 31, 67, 96], Operations: [] Exploring Operation: 67-51=16, Resulting Numbers: [31, 96, 16] Generated Node #2: [31, 96, 16] from Operation: 67-51=16 Current State: 37:[31, 96, 16], Operations: ['67-51=16'] Exploring Operation: 96/16=6, Resulting Numbers: [31, 6] Generated Node #3: [31, 6] from Operation: 96/16=6 Current State: 37:[31, 6], Operations: ['67-51=16', '96/16=6'] Exploring Operation: 31+6=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 80, 50, 53, 45 ]
30
[ "80-53=27", "50*27=1350", "1350/45=30" ]
Current State: 30:[80, 50, 53, 45], Operations: [] Exploring Operation: 80-53=27, Resulting Numbers: [50, 45, 27] Generated Node #2: [50, 45, 27] from Operation: 80-53=27 Current State: 30:[50, 45, 27], Operations: ['80-53=27'] Exploring Operation: 50*27=1350, Resulting Numbers: [45, 1350] Generated Node #3: [45, 1350] from Operation: 50*27=1350 Current State: 30:[45, 1350], Operations: ['80-53=27', '50*27=1350'] Exploring Operation: 1350/45=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 96, 90, 72, 93 ]
100
[ "96*93=8928", "72+8928=9000", "9000/90=100" ]
Current State: 100:[96, 90, 72, 93], Operations: [] Exploring Operation: 96*93=8928, Resulting Numbers: [90, 72, 8928] Generated Node #2: [90, 72, 8928] from Operation: 96*93=8928 Current State: 100:[90, 72, 8928], Operations: ['96*93=8928'] Exploring Operation: 72+8928=9000, Resulting Numbers: [90, 9000] Generated Node #3: [90, 9000] from Operation: 72+8928=9000 Current State: 100:[90, 9000], Operations: ['96*93=8928', '72+8928=9000'] Exploring Operation: 9000/90=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 65, 99, 66, 64 ]
68
[ "99-65=34", "66-64=2", "34*2=68" ]
Current State: 68:[65, 99, 66, 64], Operations: [] Exploring Operation: 99-65=34, Resulting Numbers: [66, 64, 34] Generated Node #2: [66, 64, 34] from Operation: 99-65=34 Current State: 68:[66, 64, 34], Operations: ['99-65=34'] Exploring Operation: 66-64=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 66-64=2 Current State: 68:[34, 2], Operations: ['99-65=34', '66-64=2'] Exploring Operation: 34*2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 90, 52, 13, 16 ]
94
[ "52/13=4", "16/4=4", "90+4=94" ]
Current State: 94:[90, 52, 13, 16], Operations: [] Exploring Operation: 52/13=4, Resulting Numbers: [90, 16, 4] Generated Node #2: [90, 16, 4] from Operation: 52/13=4 Current State: 94:[90, 16, 4], Operations: ['52/13=4'] Exploring Operation: 16/4=4, Resulting Numbers: [90, 4] Generated Node #3: [90, 4] from Operation: 16/4=4 Current State: 94:[90, 4], Operations: ['52/13=4', '16/4=4'] Exploring Operation: 90+4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 88, 37, 39, 44 ]
42
[ "88+37=125", "39+44=83", "125-83=42" ]
Current State: 42:[88, 37, 39, 44], Operations: [] Exploring Operation: 88+37=125, Resulting Numbers: [39, 44, 125] Generated Node #2: [39, 44, 125] from Operation: 88+37=125 Current State: 42:[39, 44, 125], Operations: ['88+37=125'] Exploring Operation: 39+44=83, Resulting Numbers: [125, 83] Generated Node #3: [125, 83] from Operation: 39+44=83 Current State: 42:[125, 83], Operations: ['88+37=125', '39+44=83'] Exploring Operation: 125-83=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 26, 68, 81, 87 ]
100
[ "26+68=94", "87-81=6", "94+6=100" ]
Current State: 100:[26, 68, 81, 87], Operations: [] Exploring Operation: 26+68=94, Resulting Numbers: [81, 87, 94] Generated Node #2: [81, 87, 94] from Operation: 26+68=94 Current State: 100:[81, 87, 94], Operations: ['26+68=94'] Exploring Operation: 87-81=6, Resulting Numbers: [94, 6] Generated Node #3: [94, 6] from Operation: 87-81=6 Current State: 100:[94, 6], Operations: ['26+68=94', '87-81=6'] Exploring Operation: 94+6=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 82, 27, 94, 59 ]
18
[ "82+59=141", "27*94=2538", "2538/141=18" ]
Current State: 18:[82, 27, 94, 59], Operations: [] Exploring Operation: 82+59=141, Resulting Numbers: [27, 94, 141] Generated Node #2: [27, 94, 141] from Operation: 82+59=141 Current State: 18:[27, 94, 141], Operations: ['82+59=141'] Exploring Operation: 27*94=2538, Resulting Numbers: [141, 2538] Generated Node #3: [141, 2538] from Operation: 27*94=2538 Current State: 18:[141, 2538], Operations: ['82+59=141', '27*94=2538'] Exploring Operation: 2538/141=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 66, 3, 31, 38 ]
29
[ "66/3=22", "38-31=7", "22+7=29" ]
Current State: 29:[66, 3, 31, 38], Operations: [] Exploring Operation: 66/3=22, Resulting Numbers: [31, 38, 22] Generated Node #2: [31, 38, 22] from Operation: 66/3=22 Current State: 29:[31, 38, 22], Operations: ['66/3=22'] Exploring Operation: 38-31=7, Resulting Numbers: [22, 7] Generated Node #3: [22, 7] from Operation: 38-31=7 Current State: 29:[22, 7], Operations: ['66/3=22', '38-31=7'] Exploring Operation: 22+7=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 10, 75, 15, 34 ]
19
[ "15-10=5", "75/5=15", "34-15=19" ]
Current State: 19:[10, 75, 15, 34], Operations: [] Exploring Operation: 15-10=5, Resulting Numbers: [75, 34, 5] Generated Node #2: [75, 34, 5] from Operation: 15-10=5 Current State: 19:[75, 34, 5], Operations: ['15-10=5'] Exploring Operation: 75/5=15, Resulting Numbers: [34, 15] Generated Node #3: [34, 15] from Operation: 75/5=15 Current State: 19:[34, 15], Operations: ['15-10=5', '75/5=15'] Exploring Operation: 34-15=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 44, 34, 82, 20 ]
92
[ "44-34=10", "82+20=102", "102-10=92" ]
Current State: 92:[44, 34, 82, 20], Operations: [] Exploring Operation: 44-34=10, Resulting Numbers: [82, 20, 10] Generated Node #2: [82, 20, 10] from Operation: 44-34=10 Current State: 92:[82, 20, 10], Operations: ['44-34=10'] Exploring Operation: 82+20=102, Resulting Numbers: [10, 102] Generated Node #3: [10, 102] from Operation: 82+20=102 Current State: 92:[10, 102], Operations: ['44-34=10', '82+20=102'] Exploring Operation: 102-10=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 32, 60, 93, 63 ]
20
[ "63-32=31", "60*31=1860", "1860/93=20" ]
Current State: 20:[32, 60, 93, 63], Operations: [] Exploring Operation: 63-32=31, Resulting Numbers: [60, 93, 31] Generated Node #2: [60, 93, 31] from Operation: 63-32=31 Current State: 20:[60, 93, 31], Operations: ['63-32=31'] Exploring Operation: 60*31=1860, Resulting Numbers: [93, 1860] Generated Node #3: [93, 1860] from Operation: 60*31=1860 Current State: 20:[93, 1860], Operations: ['63-32=31', '60*31=1860'] Exploring Operation: 1860/93=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 89, 82, 17, 95 ]
77
[ "89*82=7298", "17+7298=7315", "7315/95=77" ]
Current State: 77:[89, 82, 17, 95], Operations: [] Exploring Operation: 89*82=7298, Resulting Numbers: [17, 95, 7298] Generated Node #2: [17, 95, 7298] from Operation: 89*82=7298 Current State: 77:[17, 95, 7298], Operations: ['89*82=7298'] Exploring Operation: 17+7298=7315, Resulting Numbers: [95, 7315] Generated Node #3: [95, 7315] from Operation: 17+7298=7315 Current State: 77:[95, 7315], Operations: ['89*82=7298', '17+7298=7315'] Exploring Operation: 7315/95=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 94, 7, 11, 4 ]
13
[ "94-4=90", "7*11=77", "90-77=13" ]
Current State: 13:[94, 7, 11, 4], Operations: [] Exploring Operation: 94-4=90, Resulting Numbers: [7, 11, 90] Generated Node #2: [7, 11, 90] from Operation: 94-4=90 Current State: 13:[7, 11, 90], Operations: ['94-4=90'] Exploring Operation: 7*11=77, Resulting Numbers: [90, 77] Generated Node #3: [90, 77] from Operation: 7*11=77 Current State: 13:[90, 77], Operations: ['94-4=90', '7*11=77'] Exploring Operation: 90-77=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 59, 64, 26, 16 ]
45
[ "64*26=1664", "1664/16=104", "104-59=45" ]
Current State: 45:[59, 64, 26, 16], Operations: [] Exploring Operation: 64*26=1664, Resulting Numbers: [59, 16, 1664] Generated Node #2: [59, 16, 1664] from Operation: 64*26=1664 Current State: 45:[59, 16, 1664], Operations: ['64*26=1664'] Exploring Operation: 1664/16=104, Resulting Numbers: [59, 104] Generated Node #3: [59, 104] from Operation: 1664/16=104 Current State: 45:[59, 104], Operations: ['64*26=1664', '1664/16=104'] Exploring Operation: 104-59=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 37, 69, 6, 23 ]
79
[ "37+23=60", "60/6=10", "69+10=79" ]
Current State: 79:[37, 69, 6, 23], Operations: [] Exploring Operation: 37+23=60, Resulting Numbers: [69, 6, 60] Generated Node #2: [69, 6, 60] from Operation: 37+23=60 Current State: 79:[69, 6, 60], Operations: ['37+23=60'] Exploring Operation: 60/6=10, Resulting Numbers: [69, 10] Generated Node #3: [69, 10] from Operation: 60/6=10 Current State: 79:[69, 10], Operations: ['37+23=60', '60/6=10'] Exploring Operation: 69+10=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 1, 27, 42, 4 ]
12
[ "27-1=26", "42-4=38", "38-26=12" ]
Current State: 12:[1, 27, 42, 4], Operations: [] Exploring Operation: 27-1=26, Resulting Numbers: [42, 4, 26] Generated Node #2: [42, 4, 26] from Operation: 27-1=26 Current State: 12:[42, 4, 26], Operations: ['27-1=26'] Exploring Operation: 42-4=38, Resulting Numbers: [26, 38] Generated Node #3: [26, 38] from Operation: 42-4=38 Current State: 12:[26, 38], Operations: ['27-1=26', '42-4=38'] Exploring Operation: 38-26=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 19, 62, 26, 6 ]
72
[ "19*26=494", "494-62=432", "432/6=72" ]
Current State: 72:[19, 62, 26, 6], Operations: [] Exploring Operation: 19*26=494, Resulting Numbers: [62, 6, 494] Generated Node #2: [62, 6, 494] from Operation: 19*26=494 Current State: 72:[62, 6, 494], Operations: ['19*26=494'] Exploring Operation: 494-62=432, Resulting Numbers: [6, 432] Generated Node #3: [6, 432] from Operation: 494-62=432 Current State: 72:[6, 432], Operations: ['19*26=494', '494-62=432'] Exploring Operation: 432/6=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 24, 96, 80, 55 ]
96
[ "80-24=56", "56-55=1", "96*1=96" ]
Current State: 96:[24, 96, 80, 55], Operations: [] Exploring Operation: 80-24=56, Resulting Numbers: [96, 55, 56] Generated Node #2: [96, 55, 56] from Operation: 80-24=56 Current State: 96:[96, 55, 56], Operations: ['80-24=56'] Exploring Operation: 56-55=1, Resulting Numbers: [96, 1] Generated Node #3: [96, 1] from Operation: 56-55=1 Current State: 96:[96, 1], Operations: ['80-24=56', '56-55=1'] Exploring Operation: 96*1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 93, 5, 56, 49 ]
72
[ "56+49=105", "105/5=21", "93-21=72" ]
Current State: 72:[93, 5, 56, 49], Operations: [] Exploring Operation: 56+49=105, Resulting Numbers: [93, 5, 105] Generated Node #2: [93, 5, 105] from Operation: 56+49=105 Current State: 72:[93, 5, 105], Operations: ['56+49=105'] Exploring Operation: 105/5=21, Resulting Numbers: [93, 21] Generated Node #3: [93, 21] from Operation: 105/5=21 Current State: 72:[93, 21], Operations: ['56+49=105', '105/5=21'] Exploring Operation: 93-21=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 14, 11, 2, 62 ]
80
[ "14/2=7", "11+62=73", "7+73=80" ]
Current State: 80:[14, 11, 2, 62], Operations: [] Exploring Operation: 14/2=7, Resulting Numbers: [11, 62, 7] Generated Node #2: [11, 62, 7] from Operation: 14/2=7 Current State: 80:[11, 62, 7], Operations: ['14/2=7'] Exploring Operation: 11+62=73, Resulting Numbers: [7, 73] Generated Node #3: [7, 73] from Operation: 11+62=73 Current State: 80:[7, 73], Operations: ['14/2=7', '11+62=73'] Exploring Operation: 7+73=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 48, 68, 73, 20 ]
33
[ "68-48=20", "73-20=53", "53-20=33" ]
Current State: 33:[48, 68, 73, 20], Operations: [] Exploring Operation: 68-48=20, Resulting Numbers: [73, 20, 20] Generated Node #2: [73, 20, 20] from Operation: 68-48=20 Current State: 33:[73, 20, 20], Operations: ['68-48=20'] Exploring Operation: 73-20=53, Resulting Numbers: [53] 53,33 equal: Goal Reached Exploring Operation: 53-20=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 3, 25, 91, 77 ]
13
[ "25+91=116", "116-77=39", "39/3=13" ]
Current State: 13:[3, 25, 91, 77], Operations: [] Exploring Operation: 25+91=116, Resulting Numbers: [3, 77, 116] Generated Node #2: [3, 77, 116] from Operation: 25+91=116 Current State: 13:[3, 77, 116], Operations: ['25+91=116'] Exploring Operation: 116-77=39, Resulting Numbers: [3, 39] Generated Node #3: [3, 39] from Operation: 116-77=39 Current State: 13:[3, 39], Operations: ['25+91=116', '116-77=39'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 92, 81, 11, 22 ]
22
[ "92-81=11", "11+22=33", "33-11=22" ]
Current State: 22:[92, 81, 11, 22], Operations: [] Exploring Operation: 92-81=11, Resulting Numbers: [11, 22, 11] Generated Node #2: [11, 22, 11] from Operation: 92-81=11 Current State: 22:[11, 22, 11], Operations: ['92-81=11'] Exploring Operation: 11+22=33, Resulting Numbers: [33] 33,22 equal: Goal Reached Exploring Operation: 33-11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 69, 61, 12, 98 ]
19
[ "69+61=130", "98+130=228", "228/12=19" ]
Current State: 19:[69, 61, 12, 98], Operations: [] Exploring Operation: 69+61=130, Resulting Numbers: [12, 98, 130] Generated Node #2: [12, 98, 130] from Operation: 69+61=130 Current State: 19:[12, 98, 130], Operations: ['69+61=130'] Exploring Operation: 98+130=228, Resulting Numbers: [12, 228] Generated Node #3: [12, 228] from Operation: 98+130=228 Current State: 19:[12, 228], Operations: ['69+61=130', '98+130=228'] Exploring Operation: 228/12=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 87, 3, 24, 64 ]
44
[ "87-3=84", "64-24=40", "84-40=44" ]
Current State: 44:[87, 3, 24, 64], Operations: [] Exploring Operation: 87-3=84, Resulting Numbers: [24, 64, 84] Generated Node #2: [24, 64, 84] from Operation: 87-3=84 Current State: 44:[24, 64, 84], Operations: ['87-3=84'] Exploring Operation: 64-24=40, Resulting Numbers: [84, 40] Generated Node #3: [84, 40] from Operation: 64-24=40 Current State: 44:[84, 40], Operations: ['87-3=84', '64-24=40'] Exploring Operation: 84-40=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 46, 36, 5, 23 ]
79
[ "46-23=23", "5*23=115", "115-36=79" ]
Current State: 79:[46, 36, 5, 23], Operations: [] Exploring Operation: 46-23=23, Resulting Numbers: [36, 5, 23] Generated Node #2: [36, 5, 23] from Operation: 46-23=23 Current State: 79:[36, 5, 23], Operations: ['46-23=23'] Exploring Operation: 5*23=115, Resulting Numbers: [36, 115] Generated Node #3: [36, 115] from Operation: 5*23=115 Current State: 79:[36, 115], Operations: ['46-23=23', '5*23=115'] Exploring Operation: 115-36=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 87, 79, 52, 8 ]
68
[ "87-79=8", "52+8=60", "8+60=68" ]
Current State: 68:[87, 79, 52, 8], Operations: [] Exploring Operation: 87-79=8, Resulting Numbers: [52, 8, 8] Generated Node #2: [52, 8, 8] from Operation: 87-79=8 Current State: 68:[52, 8, 8], Operations: ['87-79=8'] Exploring Operation: 52+8=60, Resulting Numbers: [60] 60,68 equal: Goal Reached Exploring Operation: 8+60=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 50, 67, 71, 9 ]
86
[ "71-67=4", "9*4=36", "50+36=86" ]
Current State: 86:[50, 67, 71, 9], Operations: [] Exploring Operation: 71-67=4, Resulting Numbers: [50, 9, 4] Generated Node #2: [50, 9, 4] from Operation: 71-67=4 Current State: 86:[50, 9, 4], Operations: ['71-67=4'] Exploring Operation: 9*4=36, Resulting Numbers: [50, 36] Generated Node #3: [50, 36] from Operation: 9*4=36 Current State: 86:[50, 36], Operations: ['71-67=4', '9*4=36'] Exploring Operation: 50+36=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 4, 3, 10, 6 ]
20
[ "4*3=12", "10*12=120", "120/6=20" ]
Current State: 20:[4, 3, 10, 6], Operations: [] Exploring Operation: 4*3=12, Resulting Numbers: [10, 6, 12] Generated Node #2: [10, 6, 12] from Operation: 4*3=12 Current State: 20:[10, 6, 12], Operations: ['4*3=12'] Exploring Operation: 10*12=120, Resulting Numbers: [6, 120] Generated Node #3: [6, 120] from Operation: 10*12=120 Current State: 20:[6, 120], Operations: ['4*3=12', '10*12=120'] Exploring Operation: 120/6=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 97, 70, 84, 53 ]
30
[ "97+70=167", "84+53=137", "167-137=30" ]
Current State: 30:[97, 70, 84, 53], Operations: [] Exploring Operation: 97+70=167, Resulting Numbers: [84, 53, 167] Generated Node #2: [84, 53, 167] from Operation: 97+70=167 Current State: 30:[84, 53, 167], Operations: ['97+70=167'] Exploring Operation: 84+53=137, Resulting Numbers: [167, 137] Generated Node #3: [167, 137] from Operation: 84+53=137 Current State: 30:[167, 137], Operations: ['97+70=167', '84+53=137'] Exploring Operation: 167-137=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 96, 12, 7, 22 ]
32
[ "12+7=19", "22-19=3", "96/3=32" ]
Current State: 32:[96, 12, 7, 22], Operations: [] Exploring Operation: 12+7=19, Resulting Numbers: [96, 22, 19] Generated Node #2: [96, 22, 19] from Operation: 12+7=19 Current State: 32:[96, 22, 19], Operations: ['12+7=19'] Exploring Operation: 22-19=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 22-19=3 Current State: 32:[96, 3], Operations: ['12+7=19', '22-19=3'] Exploring Operation: 96/3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 61, 6, 44, 47 ]
79
[ "47-44=3", "6*3=18", "61+18=79" ]
Current State: 79:[61, 6, 44, 47], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [61, 6, 3] Generated Node #2: [61, 6, 3] from Operation: 47-44=3 Current State: 79:[61, 6, 3], Operations: ['47-44=3'] Exploring Operation: 6*3=18, Resulting Numbers: [61, 18] Generated Node #3: [61, 18] from Operation: 6*3=18 Current State: 79:[61, 18], Operations: ['47-44=3', '6*3=18'] Exploring Operation: 61+18=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 49, 5, 79, 58 ]
83
[ "49+5=54", "79+58=137", "137-54=83" ]
Current State: 83:[49, 5, 79, 58], Operations: [] Exploring Operation: 49+5=54, Resulting Numbers: [79, 58, 54] Generated Node #2: [79, 58, 54] from Operation: 49+5=54 Current State: 83:[79, 58, 54], Operations: ['49+5=54'] Exploring Operation: 79+58=137, Resulting Numbers: [54, 137] Generated Node #3: [54, 137] from Operation: 79+58=137 Current State: 83:[54, 137], Operations: ['49+5=54', '79+58=137'] Exploring Operation: 137-54=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 40, 17, 17, 38 ]
78
[ "40+17=57", "38-17=21", "57+21=78" ]
Current State: 78:[40, 17, 17, 38], Operations: [] Exploring Operation: 40+17=57, Resulting Numbers: [38, 57] Generated Node #2: [38, 57] from Operation: 40+17=57 Current State: 78:[38, 57], Operations: ['40+17=57'] Exploring Operation: 38-17=21, Resulting Numbers: [57, 21] Generated Node #3: [57, 21] from Operation: 38-17=21 Current State: 78:[57, 21], Operations: ['40+17=57', '38-17=21'] Exploring Operation: 57+21=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 29, 31, 27, 34 ]
53
[ "29+31=60", "34-27=7", "60-7=53" ]
Current State: 53:[29, 31, 27, 34], Operations: [] Exploring Operation: 29+31=60, Resulting Numbers: [27, 34, 60] Generated Node #2: [27, 34, 60] from Operation: 29+31=60 Current State: 53:[27, 34, 60], Operations: ['29+31=60'] Exploring Operation: 34-27=7, Resulting Numbers: [60, 7] Generated Node #3: [60, 7] from Operation: 34-27=7 Current State: 53:[60, 7], Operations: ['29+31=60', '34-27=7'] Exploring Operation: 60-7=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 74, 36, 87, 53 ]
76
[ "74+36=110", "87-53=34", "110-34=76" ]
Current State: 76:[74, 36, 87, 53], Operations: [] Exploring Operation: 74+36=110, Resulting Numbers: [87, 53, 110] Generated Node #2: [87, 53, 110] from Operation: 74+36=110 Current State: 76:[87, 53, 110], Operations: ['74+36=110'] Exploring Operation: 87-53=34, Resulting Numbers: [110, 34] Generated Node #3: [110, 34] from Operation: 87-53=34 Current State: 76:[110, 34], Operations: ['74+36=110', '87-53=34'] Exploring Operation: 110-34=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 49, 21, 23, 14 ]
30
[ "21-14=7", "49/7=7", "23+7=30" ]
Current State: 30:[49, 21, 23, 14], Operations: [] Exploring Operation: 21-14=7, Resulting Numbers: [49, 23, 7] Generated Node #2: [49, 23, 7] from Operation: 21-14=7 Current State: 30:[49, 23, 7], Operations: ['21-14=7'] Exploring Operation: 49/7=7, Resulting Numbers: [23, 7] Generated Node #3: [23, 7] from Operation: 49/7=7 Current State: 30:[23, 7], Operations: ['21-14=7', '49/7=7'] Exploring Operation: 23+7=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 24, 1, 37, 92 ]
33
[ "24-1=23", "92/23=4", "37-4=33" ]
Current State: 33:[24, 1, 37, 92], Operations: [] Exploring Operation: 24-1=23, Resulting Numbers: [37, 92, 23] Generated Node #2: [37, 92, 23] from Operation: 24-1=23 Current State: 33:[37, 92, 23], Operations: ['24-1=23'] Exploring Operation: 92/23=4, Resulting Numbers: [37, 4] Generated Node #3: [37, 4] from Operation: 92/23=4 Current State: 33:[37, 4], Operations: ['24-1=23', '92/23=4'] Exploring Operation: 37-4=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 32, 66, 4, 41 ]
11
[ "66-32=34", "4+41=45", "45-34=11" ]
Current State: 11:[32, 66, 4, 41], Operations: [] Exploring Operation: 66-32=34, Resulting Numbers: [4, 41, 34] Generated Node #2: [4, 41, 34] from Operation: 66-32=34 Current State: 11:[4, 41, 34], Operations: ['66-32=34'] Exploring Operation: 4+41=45, Resulting Numbers: [34, 45] Generated Node #3: [34, 45] from Operation: 4+41=45 Current State: 11:[34, 45], Operations: ['66-32=34', '4+41=45'] Exploring Operation: 45-34=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 75, 82, 92, 38 ]
61
[ "82-75=7", "92-38=54", "7+54=61" ]
Current State: 61:[75, 82, 92, 38], Operations: [] Exploring Operation: 82-75=7, Resulting Numbers: [92, 38, 7] Generated Node #2: [92, 38, 7] from Operation: 82-75=7 Current State: 61:[92, 38, 7], Operations: ['82-75=7'] Exploring Operation: 92-38=54, Resulting Numbers: [7, 54] Generated Node #3: [7, 54] from Operation: 92-38=54 Current State: 61:[7, 54], Operations: ['82-75=7', '92-38=54'] Exploring Operation: 7+54=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 27, 51, 43, 85 ]
50
[ "27+51=78", "43+85=128", "128-78=50" ]
Current State: 50:[27, 51, 43, 85], Operations: [] Exploring Operation: 27+51=78, Resulting Numbers: [43, 85, 78] Generated Node #2: [43, 85, 78] from Operation: 27+51=78 Current State: 50:[43, 85, 78], Operations: ['27+51=78'] Exploring Operation: 43+85=128, Resulting Numbers: [78, 128] Generated Node #3: [78, 128] from Operation: 43+85=128 Current State: 50:[78, 128], Operations: ['27+51=78', '43+85=128'] Exploring Operation: 128-78=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 67, 65, 80, 90 ]
73
[ "80-65=15", "90/15=6", "67+6=73" ]
Current State: 73:[67, 65, 80, 90], Operations: [] Exploring Operation: 80-65=15, Resulting Numbers: [67, 90, 15] Generated Node #2: [67, 90, 15] from Operation: 80-65=15 Current State: 73:[67, 90, 15], Operations: ['80-65=15'] Exploring Operation: 90/15=6, Resulting Numbers: [67, 6] Generated Node #3: [67, 6] from Operation: 90/15=6 Current State: 73:[67, 6], Operations: ['80-65=15', '90/15=6'] Exploring Operation: 67+6=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 3, 40, 3, 97 ]
16
[ "97-40=57", "57/3=19", "19-3=16" ]
Current State: 16:[3, 40, 3, 97], Operations: [] Exploring Operation: 97-40=57, Resulting Numbers: [3, 3, 57] Generated Node #2: [3, 3, 57] from Operation: 97-40=57 Current State: 16:[3, 3, 57], Operations: ['97-40=57'] Exploring Operation: 57/3=19, Resulting Numbers: [19] 19,16 equal: Goal Reached Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 43, 32, 83, 59 ]
81
[ "59-43=16", "32/16=2", "83-2=81" ]
Current State: 81:[43, 32, 83, 59], Operations: [] Exploring Operation: 59-43=16, Resulting Numbers: [32, 83, 16] Generated Node #2: [32, 83, 16] from Operation: 59-43=16 Current State: 81:[32, 83, 16], Operations: ['59-43=16'] Exploring Operation: 32/16=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 32/16=2 Current State: 81:[83, 2], Operations: ['59-43=16', '32/16=2'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 54, 14, 60, 6 ]
13
[ "60-54=6", "6/6=1", "14-1=13" ]
Current State: 13:[54, 14, 60, 6], Operations: [] Exploring Operation: 60-54=6, Resulting Numbers: [14, 6, 6] Generated Node #2: [14, 6, 6] from Operation: 60-54=6 Current State: 13:[14, 6, 6], Operations: ['60-54=6'] Exploring Operation: 6/6=1, Resulting Numbers: [14, 1] Generated Node #3: [14, 1] from Operation: 6/6=1 Current State: 13:[14, 1], Operations: ['60-54=6', '6/6=1'] Exploring Operation: 14-1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 55, 10, 57, 28 ]
76
[ "57-55=2", "10+28=38", "2*38=76" ]
Current State: 76:[55, 10, 57, 28], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [10, 28, 2] Generated Node #2: [10, 28, 2] from Operation: 57-55=2 Current State: 76:[10, 28, 2], Operations: ['57-55=2'] Exploring Operation: 10+28=38, Resulting Numbers: [2, 38] Generated Node #3: [2, 38] from Operation: 10+28=38 Current State: 76:[2, 38], Operations: ['57-55=2', '10+28=38'] Exploring Operation: 2*38=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 27, 38, 13, 10 ]
87
[ "13-10=3", "38*3=114", "114-27=87" ]
Current State: 87:[27, 38, 13, 10], Operations: [] Exploring Operation: 13-10=3, Resulting Numbers: [27, 38, 3] Generated Node #2: [27, 38, 3] from Operation: 13-10=3 Current State: 87:[27, 38, 3], Operations: ['13-10=3'] Exploring Operation: 38*3=114, Resulting Numbers: [27, 114] Generated Node #3: [27, 114] from Operation: 38*3=114 Current State: 87:[27, 114], Operations: ['13-10=3', '38*3=114'] Exploring Operation: 114-27=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 42, 44, 89, 93 ]
10
[ "42*93=3906", "44*89=3916", "3916-3906=10" ]
Current State: 10:[42, 44, 89, 93], Operations: [] Exploring Operation: 42*93=3906, Resulting Numbers: [44, 89, 3906] Generated Node #2: [44, 89, 3906] from Operation: 42*93=3906 Current State: 10:[44, 89, 3906], Operations: ['42*93=3906'] Exploring Operation: 44*89=3916, Resulting Numbers: [3906, 3916] Generated Node #3: [3906, 3916] from Operation: 44*89=3916 Current State: 10:[3906, 3916], Operations: ['42*93=3906', '44*89=3916'] Exploring Operation: 3916-3906=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 71, 2, 76, 52 ]
23
[ "76-52=24", "2*24=48", "71-48=23" ]
Current State: 23:[71, 2, 76, 52], Operations: [] Exploring Operation: 76-52=24, Resulting Numbers: [71, 2, 24] Generated Node #2: [71, 2, 24] from Operation: 76-52=24 Current State: 23:[71, 2, 24], Operations: ['76-52=24'] Exploring Operation: 2*24=48, Resulting Numbers: [71, 48] Generated Node #3: [71, 48] from Operation: 2*24=48 Current State: 23:[71, 48], Operations: ['76-52=24', '2*24=48'] Exploring Operation: 71-48=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 76, 23, 96, 5 ]
92
[ "96-76=20", "23*20=460", "460/5=92" ]
Current State: 92:[76, 23, 96, 5], Operations: [] Exploring Operation: 96-76=20, Resulting Numbers: [23, 5, 20] Generated Node #2: [23, 5, 20] from Operation: 96-76=20 Current State: 92:[23, 5, 20], Operations: ['96-76=20'] Exploring Operation: 23*20=460, Resulting Numbers: [5, 460] Generated Node #3: [5, 460] from Operation: 23*20=460 Current State: 92:[5, 460], Operations: ['96-76=20', '23*20=460'] Exploring Operation: 460/5=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 79, 64, 63, 47 ]
62
[ "79+47=126", "126/63=2", "64-2=62" ]
Current State: 62:[79, 64, 63, 47], Operations: [] Exploring Operation: 79+47=126, Resulting Numbers: [64, 63, 126] Generated Node #2: [64, 63, 126] from Operation: 79+47=126 Current State: 62:[64, 63, 126], Operations: ['79+47=126'] Exploring Operation: 126/63=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 126/63=2 Current State: 62:[64, 2], Operations: ['79+47=126', '126/63=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 14, 88, 10, 12 ]
10
[ "14-10=4", "88/4=22", "22-12=10" ]
Current State: 10:[14, 88, 10, 12], Operations: [] Exploring Operation: 14-10=4, Resulting Numbers: [88, 12, 4] Generated Node #2: [88, 12, 4] from Operation: 14-10=4 Current State: 10:[88, 12, 4], Operations: ['14-10=4'] Exploring Operation: 88/4=22, Resulting Numbers: [12, 22] Generated Node #3: [12, 22] from Operation: 88/4=22 Current State: 10:[12, 22], Operations: ['14-10=4', '88/4=22'] Exploring Operation: 22-12=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 49, 11, 72, 48 ]
59
[ "49+72=121", "121/11=11", "48+11=59" ]
Current State: 59:[49, 11, 72, 48], Operations: [] Exploring Operation: 49+72=121, Resulting Numbers: [11, 48, 121] Generated Node #2: [11, 48, 121] from Operation: 49+72=121 Current State: 59:[11, 48, 121], Operations: ['49+72=121'] Exploring Operation: 121/11=11, Resulting Numbers: [48, 11] Generated Node #3: [48, 11] from Operation: 121/11=11 Current State: 59:[48, 11], Operations: ['49+72=121', '121/11=11'] Exploring Operation: 48+11=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 47, 87, 68, 89 ]
85
[ "47+89=136", "136/68=2", "87-2=85" ]
Current State: 85:[47, 87, 68, 89], Operations: [] Exploring Operation: 47+89=136, Resulting Numbers: [87, 68, 136] Generated Node #2: [87, 68, 136] from Operation: 47+89=136 Current State: 85:[87, 68, 136], Operations: ['47+89=136'] Exploring Operation: 136/68=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 136/68=2 Current State: 85:[87, 2], Operations: ['47+89=136', '136/68=2'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 73, 49, 4, 12 ]
27
[ "73-49=24", "12/4=3", "24+3=27" ]
Current State: 27:[73, 49, 4, 12], Operations: [] Exploring Operation: 73-49=24, Resulting Numbers: [4, 12, 24] Generated Node #2: [4, 12, 24] from Operation: 73-49=24 Current State: 27:[4, 12, 24], Operations: ['73-49=24'] Exploring Operation: 12/4=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 12/4=3 Current State: 27:[24, 3], Operations: ['73-49=24', '12/4=3'] Exploring Operation: 24+3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 57, 4, 36, 96 ]
54
[ "36-4=32", "96/32=3", "57-3=54" ]
Current State: 54:[57, 4, 36, 96], Operations: [] Exploring Operation: 36-4=32, Resulting Numbers: [57, 96, 32] Generated Node #2: [57, 96, 32] from Operation: 36-4=32 Current State: 54:[57, 96, 32], Operations: ['36-4=32'] Exploring Operation: 96/32=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 96/32=3 Current State: 54:[57, 3], Operations: ['36-4=32', '96/32=3'] Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 65, 36, 74, 36 ]
63
[ "65+36=101", "74-36=38", "101-38=63" ]
Current State: 63:[65, 36, 74, 36], Operations: [] Exploring Operation: 65+36=101, Resulting Numbers: [74, 101] Generated Node #2: [74, 101] from Operation: 65+36=101 Current State: 63:[74, 101], Operations: ['65+36=101'] Exploring Operation: 74-36=38, Resulting Numbers: [101, 38] Generated Node #3: [101, 38] from Operation: 74-36=38 Current State: 63:[101, 38], Operations: ['65+36=101', '74-36=38'] Exploring Operation: 101-38=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 27, 89, 76, 87 ]
98
[ "76-27=49", "89-87=2", "49*2=98" ]
Current State: 98:[27, 89, 76, 87], Operations: [] Exploring Operation: 76-27=49, Resulting Numbers: [89, 87, 49] Generated Node #2: [89, 87, 49] from Operation: 76-27=49 Current State: 98:[89, 87, 49], Operations: ['76-27=49'] Exploring Operation: 89-87=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 89-87=2 Current State: 98:[49, 2], Operations: ['76-27=49', '89-87=2'] Exploring Operation: 49*2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 17, 35, 89, 19 ]
56
[ "17+35=52", "89+19=108", "108-52=56" ]
Current State: 56:[17, 35, 89, 19], Operations: [] Exploring Operation: 17+35=52, Resulting Numbers: [89, 19, 52] Generated Node #2: [89, 19, 52] from Operation: 17+35=52 Current State: 56:[89, 19, 52], Operations: ['17+35=52'] Exploring Operation: 89+19=108, Resulting Numbers: [52, 108] Generated Node #3: [52, 108] from Operation: 89+19=108 Current State: 56:[52, 108], Operations: ['17+35=52', '89+19=108'] Exploring Operation: 108-52=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 84, 52, 38, 12 ]
86
[ "84+52=136", "38+12=50", "136-50=86" ]
Current State: 86:[84, 52, 38, 12], Operations: [] Exploring Operation: 84+52=136, Resulting Numbers: [38, 12, 136] Generated Node #2: [38, 12, 136] from Operation: 84+52=136 Current State: 86:[38, 12, 136], Operations: ['84+52=136'] Exploring Operation: 38+12=50, Resulting Numbers: [136, 50] Generated Node #3: [136, 50] from Operation: 38+12=50 Current State: 86:[136, 50], Operations: ['84+52=136', '38+12=50'] Exploring Operation: 136-50=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 60, 50, 7, 37 ]
36
[ "37-7=30", "60*30=1800", "1800/50=36" ]
Current State: 36:[60, 50, 7, 37], Operations: [] Exploring Operation: 37-7=30, Resulting Numbers: [60, 50, 30] Generated Node #2: [60, 50, 30] from Operation: 37-7=30 Current State: 36:[60, 50, 30], Operations: ['37-7=30'] Exploring Operation: 60*30=1800, Resulting Numbers: [50, 1800] Generated Node #3: [50, 1800] from Operation: 60*30=1800 Current State: 36:[50, 1800], Operations: ['37-7=30', '60*30=1800'] Exploring Operation: 1800/50=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 63, 34, 32, 82 ]
22
[ "34-32=2", "82/2=41", "63-41=22" ]
Current State: 22:[63, 34, 32, 82], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [63, 82, 2] Generated Node #2: [63, 82, 2] from Operation: 34-32=2 Current State: 22:[63, 82, 2], Operations: ['34-32=2'] Exploring Operation: 82/2=41, Resulting Numbers: [63, 41] Generated Node #3: [63, 41] from Operation: 82/2=41 Current State: 22:[63, 41], Operations: ['34-32=2', '82/2=41'] Exploring Operation: 63-41=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 79, 69, 31, 9 ]
50
[ "79-69=10", "31+9=40", "10+40=50" ]
Current State: 50:[79, 69, 31, 9], Operations: [] Exploring Operation: 79-69=10, Resulting Numbers: [31, 9, 10] Generated Node #2: [31, 9, 10] from Operation: 79-69=10 Current State: 50:[31, 9, 10], Operations: ['79-69=10'] Exploring Operation: 31+9=40, Resulting Numbers: [10, 40] Generated Node #3: [10, 40] from Operation: 31+9=40 Current State: 50:[10, 40], Operations: ['79-69=10', '31+9=40'] Exploring Operation: 10+40=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 94, 81, 45, 83 ]
72
[ "81*83=6723", "45+6723=6768", "6768/94=72" ]
Current State: 72:[94, 81, 45, 83], Operations: [] Exploring Operation: 81*83=6723, Resulting Numbers: [94, 45, 6723] Generated Node #2: [94, 45, 6723] from Operation: 81*83=6723 Current State: 72:[94, 45, 6723], Operations: ['81*83=6723'] Exploring Operation: 45+6723=6768, Resulting Numbers: [94, 6768] Generated Node #3: [94, 6768] from Operation: 45+6723=6768 Current State: 72:[94, 6768], Operations: ['81*83=6723', '45+6723=6768'] Exploring Operation: 6768/94=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 84, 12, 63, 37 ]
46
[ "84-12=72", "63-37=26", "72-26=46" ]
Current State: 46:[84, 12, 63, 37], Operations: [] Exploring Operation: 84-12=72, Resulting Numbers: [63, 37, 72] Generated Node #2: [63, 37, 72] from Operation: 84-12=72 Current State: 46:[63, 37, 72], Operations: ['84-12=72'] Exploring Operation: 63-37=26, Resulting Numbers: [72, 26] Generated Node #3: [72, 26] from Operation: 63-37=26 Current State: 46:[72, 26], Operations: ['84-12=72', '63-37=26'] Exploring Operation: 72-26=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 61, 14, 75, 12 ]
40
[ "61-14=47", "75+12=87", "87-47=40" ]
Current State: 40:[61, 14, 75, 12], Operations: [] Exploring Operation: 61-14=47, Resulting Numbers: [75, 12, 47] Generated Node #2: [75, 12, 47] from Operation: 61-14=47 Current State: 40:[75, 12, 47], Operations: ['61-14=47'] Exploring Operation: 75+12=87, Resulting Numbers: [47, 87] Generated Node #3: [47, 87] from Operation: 75+12=87 Current State: 40:[47, 87], Operations: ['61-14=47', '75+12=87'] Exploring Operation: 87-47=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 17, 3, 81, 68 ]
81
[ "68/17=4", "4-3=1", "81*1=81" ]
Current State: 81:[17, 3, 81, 68], Operations: [] Exploring Operation: 68/17=4, Resulting Numbers: [3, 81, 4] Generated Node #2: [3, 81, 4] from Operation: 68/17=4 Current State: 81:[3, 81, 4], Operations: ['68/17=4'] Exploring Operation: 4-3=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 4-3=1 Current State: 81:[81, 1], Operations: ['68/17=4', '4-3=1'] Exploring Operation: 81*1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 24, 12, 65, 74 ]
83
[ "24/12=2", "74*2=148", "148-65=83" ]
Current State: 83:[24, 12, 65, 74], Operations: [] Exploring Operation: 24/12=2, Resulting Numbers: [65, 74, 2] Generated Node #2: [65, 74, 2] from Operation: 24/12=2 Current State: 83:[65, 74, 2], Operations: ['24/12=2'] Exploring Operation: 74*2=148, Resulting Numbers: [65, 148] Generated Node #3: [65, 148] from Operation: 74*2=148 Current State: 83:[65, 148], Operations: ['24/12=2', '74*2=148'] Exploring Operation: 148-65=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 5, 14, 27, 24 ]
72
[ "14-5=9", "27*24=648", "648/9=72" ]
Current State: 72:[5, 14, 27, 24], Operations: [] Exploring Operation: 14-5=9, Resulting Numbers: [27, 24, 9] Generated Node #2: [27, 24, 9] from Operation: 14-5=9 Current State: 72:[27, 24, 9], Operations: ['14-5=9'] Exploring Operation: 27*24=648, Resulting Numbers: [9, 648] Generated Node #3: [9, 648] from Operation: 27*24=648 Current State: 72:[9, 648], Operations: ['14-5=9', '27*24=648'] Exploring Operation: 648/9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 95, 44, 66, 6 ]
91
[ "44*6=264", "264/66=4", "95-4=91" ]
Current State: 91:[95, 44, 66, 6], Operations: [] Exploring Operation: 44*6=264, Resulting Numbers: [95, 66, 264] Generated Node #2: [95, 66, 264] from Operation: 44*6=264 Current State: 91:[95, 66, 264], Operations: ['44*6=264'] Exploring Operation: 264/66=4, Resulting Numbers: [95, 4] Generated Node #3: [95, 4] from Operation: 264/66=4 Current State: 91:[95, 4], Operations: ['44*6=264', '264/66=4'] Exploring Operation: 95-4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 26, 2, 94, 33 ]
67
[ "94-26=68", "68/2=34", "33+34=67" ]
Current State: 67:[26, 2, 94, 33], Operations: [] Exploring Operation: 94-26=68, Resulting Numbers: [2, 33, 68] Generated Node #2: [2, 33, 68] from Operation: 94-26=68 Current State: 67:[2, 33, 68], Operations: ['94-26=68'] Exploring Operation: 68/2=34, Resulting Numbers: [33, 34] Generated Node #3: [33, 34] from Operation: 68/2=34 Current State: 67:[33, 34], Operations: ['94-26=68', '68/2=34'] Exploring Operation: 33+34=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 60, 11, 67, 84 ]
10
[ "11+67=78", "84-78=6", "60/6=10" ]
Current State: 10:[60, 11, 67, 84], Operations: [] Exploring Operation: 11+67=78, Resulting Numbers: [60, 84, 78] Generated Node #2: [60, 84, 78] from Operation: 11+67=78 Current State: 10:[60, 84, 78], Operations: ['11+67=78'] Exploring Operation: 84-78=6, Resulting Numbers: [60, 6] Generated Node #3: [60, 6] from Operation: 84-78=6 Current State: 10:[60, 6], Operations: ['11+67=78', '84-78=6'] Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 62, 2, 8, 43 ]
65
[ "62-8=54", "2*54=108", "108-43=65" ]
Current State: 65:[62, 2, 8, 43], Operations: [] Exploring Operation: 62-8=54, Resulting Numbers: [2, 43, 54] Generated Node #2: [2, 43, 54] from Operation: 62-8=54 Current State: 65:[2, 43, 54], Operations: ['62-8=54'] Exploring Operation: 2*54=108, Resulting Numbers: [43, 108] Generated Node #3: [43, 108] from Operation: 2*54=108 Current State: 65:[43, 108], Operations: ['62-8=54', '2*54=108'] Exploring Operation: 108-43=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 11, 64, 52, 64 ]
52
[ "64-64=0", "11*0=0", "52+0=52" ]
Current State: 52:[11, 64, 52, 64], Operations: [] Exploring Operation: 64-64=0, Resulting Numbers: [11, 52, 0] Generated Node #2: [11, 52, 0] from Operation: 64-64=0 Current State: 52:[11, 52, 0], Operations: ['64-64=0'] Exploring Operation: 11*0=0, Resulting Numbers: [52, 0] Generated Node #3: [52, 0] from Operation: 11*0=0 Current State: 52:[52, 0], Operations: ['64-64=0', '11*0=0'] Exploring Operation: 52+0=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 19, 55, 92, 88 ]
70
[ "19+55=74", "92-88=4", "74-4=70" ]
Current State: 70:[19, 55, 92, 88], Operations: [] Exploring Operation: 19+55=74, Resulting Numbers: [92, 88, 74] Generated Node #2: [92, 88, 74] from Operation: 19+55=74 Current State: 70:[92, 88, 74], Operations: ['19+55=74'] Exploring Operation: 92-88=4, Resulting Numbers: [74, 4] Generated Node #3: [74, 4] from Operation: 92-88=4 Current State: 70:[74, 4], Operations: ['19+55=74', '92-88=4'] Exploring Operation: 74-4=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 63, 52, 45, 63 ]
72
[ "52-45=7", "63/7=9", "63+9=72" ]
Current State: 72:[63, 52, 45, 63], Operations: [] Exploring Operation: 52-45=7, Resulting Numbers: [63, 63, 7] Generated Node #2: [63, 63, 7] from Operation: 52-45=7 Current State: 72:[63, 63, 7], Operations: ['52-45=7'] Exploring Operation: 63/7=9, Resulting Numbers: [9] 9,72 equal: Goal Reached Exploring Operation: 63+9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 54, 7, 4, 32 ]
25
[ "54+7=61", "4+32=36", "61-36=25" ]
Current State: 25:[54, 7, 4, 32], Operations: [] Exploring Operation: 54+7=61, Resulting Numbers: [4, 32, 61] Generated Node #2: [4, 32, 61] from Operation: 54+7=61 Current State: 25:[4, 32, 61], Operations: ['54+7=61'] Exploring Operation: 4+32=36, Resulting Numbers: [61, 36] Generated Node #3: [61, 36] from Operation: 4+32=36 Current State: 25:[61, 36], Operations: ['54+7=61', '4+32=36'] Exploring Operation: 61-36=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 88, 95, 65, 61 ]
28
[ "95-88=7", "65-61=4", "7*4=28" ]
Current State: 28:[88, 95, 65, 61], Operations: [] Exploring Operation: 95-88=7, Resulting Numbers: [65, 61, 7] Generated Node #2: [65, 61, 7] from Operation: 95-88=7 Current State: 28:[65, 61, 7], Operations: ['95-88=7'] Exploring Operation: 65-61=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 65-61=4 Current State: 28:[7, 4], Operations: ['95-88=7', '65-61=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 3, 50, 31, 14 ]
36
[ "3+50=53", "31-14=17", "53-17=36" ]
Current State: 36:[3, 50, 31, 14], Operations: [] Exploring Operation: 3+50=53, Resulting Numbers: [31, 14, 53] Generated Node #2: [31, 14, 53] from Operation: 3+50=53 Current State: 36:[31, 14, 53], Operations: ['3+50=53'] Exploring Operation: 31-14=17, Resulting Numbers: [53, 17] Generated Node #3: [53, 17] from Operation: 31-14=17 Current State: 36:[53, 17], Operations: ['3+50=53', '31-14=17'] Exploring Operation: 53-17=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 18, 60, 45, 54 ]
65
[ "18+60=78", "45*78=3510", "3510/54=65" ]
Current State: 65:[18, 60, 45, 54], Operations: [] Exploring Operation: 18+60=78, Resulting Numbers: [45, 54, 78] Generated Node #2: [45, 54, 78] from Operation: 18+60=78 Current State: 65:[45, 54, 78], Operations: ['18+60=78'] Exploring Operation: 45*78=3510, Resulting Numbers: [54, 3510] Generated Node #3: [54, 3510] from Operation: 45*78=3510 Current State: 65:[54, 3510], Operations: ['18+60=78', '45*78=3510'] Exploring Operation: 3510/54=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 13, 23, 84, 35 ]
59
[ "23-13=10", "84-35=49", "10+49=59" ]
Current State: 59:[13, 23, 84, 35], Operations: [] Exploring Operation: 23-13=10, Resulting Numbers: [84, 35, 10] Generated Node #2: [84, 35, 10] from Operation: 23-13=10 Current State: 59:[84, 35, 10], Operations: ['23-13=10'] Exploring Operation: 84-35=49, Resulting Numbers: [10, 49] Generated Node #3: [10, 49] from Operation: 84-35=49 Current State: 59:[10, 49], Operations: ['23-13=10', '84-35=49'] Exploring Operation: 10+49=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 18, 25, 54, 54 ]
78
[ "25*54=1350", "54+1350=1404", "1404/18=78" ]
Current State: 78:[18, 25, 54, 54], Operations: [] Exploring Operation: 25*54=1350, Resulting Numbers: [18, 1350] Generated Node #2: [18, 1350] from Operation: 25*54=1350 Current State: 78:[18, 1350], Operations: ['25*54=1350'] Exploring Operation: 54+1350=1404, Resulting Numbers: [18, 1404] Generated Node #3: [18, 1404] from Operation: 54+1350=1404 Current State: 78:[18, 1404], Operations: ['25*54=1350', '54+1350=1404'] Exploring Operation: 1404/18=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 45, 6, 78, 44 ]
84
[ "45-44=1", "6+78=84", "1*84=84" ]
Current State: 84:[45, 6, 78, 44], Operations: [] Exploring Operation: 45-44=1, Resulting Numbers: [6, 78, 1] Generated Node #2: [6, 78, 1] from Operation: 45-44=1 Current State: 84:[6, 78, 1], Operations: ['45-44=1'] Exploring Operation: 6+78=84, Resulting Numbers: [1, 84] Generated Node #3: [1, 84] from Operation: 6+78=84 Current State: 84:[1, 84], Operations: ['45-44=1', '6+78=84'] Exploring Operation: 1*84=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 19, 3, 26, 59 ]
38
[ "26-19=7", "3*7=21", "59-21=38" ]
Current State: 38:[19, 3, 26, 59], Operations: [] Exploring Operation: 26-19=7, Resulting Numbers: [3, 59, 7] Generated Node #2: [3, 59, 7] from Operation: 26-19=7 Current State: 38:[3, 59, 7], Operations: ['26-19=7'] Exploring Operation: 3*7=21, Resulting Numbers: [59, 21] Generated Node #3: [59, 21] from Operation: 3*7=21 Current State: 38:[59, 21], Operations: ['26-19=7', '3*7=21'] Exploring Operation: 59-21=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 58, 28, 86, 44 ]
88
[ "58-44=14", "28/14=2", "86+2=88" ]
Current State: 88:[58, 28, 86, 44], Operations: [] Exploring Operation: 58-44=14, Resulting Numbers: [28, 86, 14] Generated Node #2: [28, 86, 14] from Operation: 58-44=14 Current State: 88:[28, 86, 14], Operations: ['58-44=14'] Exploring Operation: 28/14=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 28/14=2 Current State: 88:[86, 2], Operations: ['58-44=14', '28/14=2'] Exploring Operation: 86+2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 5, 15, 29, 60 ]
92
[ "15/5=3", "29+60=89", "3+89=92" ]
Current State: 92:[5, 15, 29, 60], Operations: [] Exploring Operation: 15/5=3, Resulting Numbers: [29, 60, 3] Generated Node #2: [29, 60, 3] from Operation: 15/5=3 Current State: 92:[29, 60, 3], Operations: ['15/5=3'] Exploring Operation: 29+60=89, Resulting Numbers: [3, 89] Generated Node #3: [3, 89] from Operation: 29+60=89 Current State: 92:[3, 89], Operations: ['15/5=3', '29+60=89'] Exploring Operation: 3+89=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 21, 72, 53, 96 ]
25
[ "21*96=2016", "2016/72=28", "53-28=25" ]
Current State: 25:[21, 72, 53, 96], Operations: [] Exploring Operation: 21*96=2016, Resulting Numbers: [72, 53, 2016] Generated Node #2: [72, 53, 2016] from Operation: 21*96=2016 Current State: 25:[72, 53, 2016], Operations: ['21*96=2016'] Exploring Operation: 2016/72=28, Resulting Numbers: [53, 28] Generated Node #3: [53, 28] from Operation: 2016/72=28 Current State: 25:[53, 28], Operations: ['21*96=2016', '2016/72=28'] Exploring Operation: 53-28=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 4, 21, 65, 59 ]
31
[ "4+21=25", "65-59=6", "25+6=31" ]
Current State: 31:[4, 21, 65, 59], Operations: [] Exploring Operation: 4+21=25, Resulting Numbers: [65, 59, 25] Generated Node #2: [65, 59, 25] from Operation: 4+21=25 Current State: 31:[65, 59, 25], Operations: ['4+21=25'] Exploring Operation: 65-59=6, Resulting Numbers: [25, 6] Generated Node #3: [25, 6] from Operation: 65-59=6 Current State: 31:[25, 6], Operations: ['4+21=25', '65-59=6'] Exploring Operation: 25+6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4