nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 73, 59, 60, 7 ]
53
[ "73-59=14", "60+7=67", "67-14=53" ]
Current State: 53:[73, 59, 60, 7], Operations: [] Exploring Operation: 73-59=14, Resulting Numbers: [60, 7, 14] Generated Node #2: [60, 7, 14] from Operation: 73-59=14 Current State: 53:[60, 7, 14], Operations: ['73-59=14'] Exploring Operation: 60+7=67, Resulting Numbers: [14, 67] Generated Node #3: [14, 67] from Operation: 60+7=67 Current State: 53:[14, 67], Operations: ['73-59=14', '60+7=67'] Exploring Operation: 67-14=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 11, 12, 60, 98 ]
15
[ "11+12=23", "98-60=38", "38-23=15" ]
Current State: 15:[11, 12, 60, 98], Operations: [] Exploring Operation: 11+12=23, Resulting Numbers: [60, 98, 23] Generated Node #2: [60, 98, 23] from Operation: 11+12=23 Current State: 15:[60, 98, 23], Operations: ['11+12=23'] Exploring Operation: 98-60=38, Resulting Numbers: [23, 38] Generated Node #3: [23, 38] from Operation: 98-60=38 Current State: 15:[23, 38], Operations: ['11+12=23', '98-60=38'] Exploring Operation: 38-23=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 17, 85, 82, 45 ]
65
[ "17+85=102", "82-45=37", "102-37=65" ]
Current State: 65:[17, 85, 82, 45], Operations: [] Exploring Operation: 17+85=102, Resulting Numbers: [82, 45, 102] Generated Node #2: [82, 45, 102] from Operation: 17+85=102 Current State: 65:[82, 45, 102], Operations: ['17+85=102'] Exploring Operation: 82-45=37, Resulting Numbers: [102, 37] Generated Node #3: [102, 37] from Operation: 82-45=37 Current State: 65:[102, 37], Operations: ['17+85=102', '82-45=37'] Exploring Operation: 102-37=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 38, 25, 86, 63 ]
76
[ "86-25=61", "63-61=2", "38*2=76" ]
Current State: 76:[38, 25, 86, 63], Operations: [] Exploring Operation: 86-25=61, Resulting Numbers: [38, 63, 61] Generated Node #2: [38, 63, 61] from Operation: 86-25=61 Current State: 76:[38, 63, 61], Operations: ['86-25=61'] Exploring Operation: 63-61=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 63-61=2 Current State: 76:[38, 2], Operations: ['86-25=61', '63-61=2'] Exploring Operation: 38*2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 18, 79, 51, 91 ]
34
[ "91-79=12", "51*12=612", "612/18=34" ]
Current State: 34:[18, 79, 51, 91], Operations: [] Exploring Operation: 91-79=12, Resulting Numbers: [18, 51, 12] Generated Node #2: [18, 51, 12] from Operation: 91-79=12 Current State: 34:[18, 51, 12], Operations: ['91-79=12'] Exploring Operation: 51*12=612, Resulting Numbers: [18, 612] Generated Node #3: [18, 612] from Operation: 51*12=612 Current State: 34:[18, 612], Operations: ['91-79=12', '51*12=612'] Exploring Operation: 612/18=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 66, 10, 44, 78 ]
90
[ "66-10=56", "78-44=34", "56+34=90" ]
Current State: 90:[66, 10, 44, 78], Operations: [] Exploring Operation: 66-10=56, Resulting Numbers: [44, 78, 56] Generated Node #2: [44, 78, 56] from Operation: 66-10=56 Current State: 90:[44, 78, 56], Operations: ['66-10=56'] Exploring Operation: 78-44=34, Resulting Numbers: [56, 34] Generated Node #3: [56, 34] from Operation: 78-44=34 Current State: 90:[56, 34], Operations: ['66-10=56', '78-44=34'] Exploring Operation: 56+34=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 52, 10, 9, 53 ]
19
[ "53-52=1", "10+9=19", "1*19=19" ]
Current State: 19:[52, 10, 9, 53], Operations: [] Exploring Operation: 53-52=1, Resulting Numbers: [10, 9, 1] Generated Node #2: [10, 9, 1] from Operation: 53-52=1 Current State: 19:[10, 9, 1], Operations: ['53-52=1'] Exploring Operation: 10+9=19, Resulting Numbers: [1, 19] Generated Node #3: [1, 19] from Operation: 10+9=19 Current State: 19:[1, 19], Operations: ['53-52=1', '10+9=19'] Exploring Operation: 1*19=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 74, 23, 71, 31 ]
100
[ "74-71=3", "23*3=69", "31+69=100" ]
Current State: 100:[74, 23, 71, 31], Operations: [] Exploring Operation: 74-71=3, Resulting Numbers: [23, 31, 3] Generated Node #2: [23, 31, 3] from Operation: 74-71=3 Current State: 100:[23, 31, 3], Operations: ['74-71=3'] Exploring Operation: 23*3=69, Resulting Numbers: [31, 69] Generated Node #3: [31, 69] from Operation: 23*3=69 Current State: 100:[31, 69], Operations: ['74-71=3', '23*3=69'] Exploring Operation: 31+69=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 13, 69, 30, 59 ]
90
[ "69-13=56", "59-56=3", "30*3=90" ]
Current State: 90:[13, 69, 30, 59], Operations: [] Exploring Operation: 69-13=56, Resulting Numbers: [30, 59, 56] Generated Node #2: [30, 59, 56] from Operation: 69-13=56 Current State: 90:[30, 59, 56], Operations: ['69-13=56'] Exploring Operation: 59-56=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 59-56=3 Current State: 90:[30, 3], Operations: ['69-13=56', '59-56=3'] Exploring Operation: 30*3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 90, 76, 74, 33 ]
27
[ "90-76=14", "74-33=41", "41-14=27" ]
Current State: 27:[90, 76, 74, 33], Operations: [] Exploring Operation: 90-76=14, Resulting Numbers: [74, 33, 14] Generated Node #2: [74, 33, 14] from Operation: 90-76=14 Current State: 27:[74, 33, 14], Operations: ['90-76=14'] Exploring Operation: 74-33=41, Resulting Numbers: [14, 41] Generated Node #3: [14, 41] from Operation: 74-33=41 Current State: 27:[14, 41], Operations: ['90-76=14', '74-33=41'] Exploring Operation: 41-14=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 93, 52, 82, 22 ]
26
[ "93-82=11", "52*11=572", "572/22=26" ]
Current State: 26:[93, 52, 82, 22], Operations: [] Exploring Operation: 93-82=11, Resulting Numbers: [52, 22, 11] Generated Node #2: [52, 22, 11] from Operation: 93-82=11 Current State: 26:[52, 22, 11], Operations: ['93-82=11'] Exploring Operation: 52*11=572, Resulting Numbers: [22, 572] Generated Node #3: [22, 572] from Operation: 52*11=572 Current State: 26:[22, 572], Operations: ['93-82=11', '52*11=572'] Exploring Operation: 572/22=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 99, 17, 31, 85 ]
56
[ "85/17=5", "31*5=155", "155-99=56" ]
Current State: 56:[99, 17, 31, 85], Operations: [] Exploring Operation: 85/17=5, Resulting Numbers: [99, 31, 5] Generated Node #2: [99, 31, 5] from Operation: 85/17=5 Current State: 56:[99, 31, 5], Operations: ['85/17=5'] Exploring Operation: 31*5=155, Resulting Numbers: [99, 155] Generated Node #3: [99, 155] from Operation: 31*5=155 Current State: 56:[99, 155], Operations: ['85/17=5', '31*5=155'] Exploring Operation: 155-99=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 42, 21, 23, 26 ]
98
[ "42/21=2", "23+26=49", "2*49=98" ]
Current State: 98:[42, 21, 23, 26], Operations: [] Exploring Operation: 42/21=2, Resulting Numbers: [23, 26, 2] Generated Node #2: [23, 26, 2] from Operation: 42/21=2 Current State: 98:[23, 26, 2], Operations: ['42/21=2'] Exploring Operation: 23+26=49, Resulting Numbers: [2, 49] Generated Node #3: [2, 49] from Operation: 23+26=49 Current State: 98:[2, 49], Operations: ['42/21=2', '23+26=49'] Exploring Operation: 2*49=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 32, 38, 60, 58 ]
22
[ "32*38=1216", "60+1216=1276", "1276/58=22" ]
Current State: 22:[32, 38, 60, 58], Operations: [] Exploring Operation: 32*38=1216, Resulting Numbers: [60, 58, 1216] Generated Node #2: [60, 58, 1216] from Operation: 32*38=1216 Current State: 22:[60, 58, 1216], Operations: ['32*38=1216'] Exploring Operation: 60+1216=1276, Resulting Numbers: [58, 1276] Generated Node #3: [58, 1276] from Operation: 60+1216=1276 Current State: 22:[58, 1276], Operations: ['32*38=1216', '60+1216=1276'] Exploring Operation: 1276/58=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 26, 85, 82, 14 ]
16
[ "85-82=3", "14*3=42", "42-26=16" ]
Current State: 16:[26, 85, 82, 14], Operations: [] Exploring Operation: 85-82=3, Resulting Numbers: [26, 14, 3] Generated Node #2: [26, 14, 3] from Operation: 85-82=3 Current State: 16:[26, 14, 3], Operations: ['85-82=3'] Exploring Operation: 14*3=42, Resulting Numbers: [26, 42] Generated Node #3: [26, 42] from Operation: 14*3=42 Current State: 16:[26, 42], Operations: ['85-82=3', '14*3=42'] Exploring Operation: 42-26=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 54, 70, 2, 55 ]
67
[ "54+70=124", "2+55=57", "124-57=67" ]
Current State: 67:[54, 70, 2, 55], Operations: [] Exploring Operation: 54+70=124, Resulting Numbers: [2, 55, 124] Generated Node #2: [2, 55, 124] from Operation: 54+70=124 Current State: 67:[2, 55, 124], Operations: ['54+70=124'] Exploring Operation: 2+55=57, Resulting Numbers: [124, 57] Generated Node #3: [124, 57] from Operation: 2+55=57 Current State: 67:[124, 57], Operations: ['54+70=124', '2+55=57'] Exploring Operation: 124-57=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 74, 85, 75, 52 ]
33
[ "75-74=1", "85-52=33", "1*33=33" ]
Current State: 33:[74, 85, 75, 52], Operations: [] Exploring Operation: 75-74=1, Resulting Numbers: [85, 52, 1] Generated Node #2: [85, 52, 1] from Operation: 75-74=1 Current State: 33:[85, 52, 1], Operations: ['75-74=1'] Exploring Operation: 85-52=33, Resulting Numbers: [1, 33] Generated Node #3: [1, 33] from Operation: 85-52=33 Current State: 33:[1, 33], Operations: ['75-74=1', '85-52=33'] Exploring Operation: 1*33=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 50, 59, 78, 56 ]
13
[ "59-50=9", "78-56=22", "22-9=13" ]
Current State: 13:[50, 59, 78, 56], Operations: [] Exploring Operation: 59-50=9, Resulting Numbers: [78, 56, 9] Generated Node #2: [78, 56, 9] from Operation: 59-50=9 Current State: 13:[78, 56, 9], Operations: ['59-50=9'] Exploring Operation: 78-56=22, Resulting Numbers: [9, 22] Generated Node #3: [9, 22] from Operation: 78-56=22 Current State: 13:[9, 22], Operations: ['59-50=9', '78-56=22'] Exploring Operation: 22-9=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 5, 6, 96, 43 ]
22
[ "43-5=38", "96/6=16", "38-16=22" ]
Current State: 22:[5, 6, 96, 43], Operations: [] Exploring Operation: 43-5=38, Resulting Numbers: [6, 96, 38] Generated Node #2: [6, 96, 38] from Operation: 43-5=38 Current State: 22:[6, 96, 38], Operations: ['43-5=38'] Exploring Operation: 96/6=16, Resulting Numbers: [38, 16] Generated Node #3: [38, 16] from Operation: 96/6=16 Current State: 22:[38, 16], Operations: ['43-5=38', '96/6=16'] Exploring Operation: 38-16=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 27, 20, 10, 46 ]
15
[ "27*20=540", "46-10=36", "540/36=15" ]
Current State: 15:[27, 20, 10, 46], Operations: [] Exploring Operation: 27*20=540, Resulting Numbers: [10, 46, 540] Generated Node #2: [10, 46, 540] from Operation: 27*20=540 Current State: 15:[10, 46, 540], Operations: ['27*20=540'] Exploring Operation: 46-10=36, Resulting Numbers: [540, 36] Generated Node #3: [540, 36] from Operation: 46-10=36 Current State: 15:[540, 36], Operations: ['27*20=540', '46-10=36'] Exploring Operation: 540/36=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 19, 53, 85, 4 ]
79
[ "19+85=104", "104/4=26", "53+26=79" ]
Current State: 79:[19, 53, 85, 4], Operations: [] Exploring Operation: 19+85=104, Resulting Numbers: [53, 4, 104] Generated Node #2: [53, 4, 104] from Operation: 19+85=104 Current State: 79:[53, 4, 104], Operations: ['19+85=104'] Exploring Operation: 104/4=26, Resulting Numbers: [53, 26] Generated Node #3: [53, 26] from Operation: 104/4=26 Current State: 79:[53, 26], Operations: ['19+85=104', '104/4=26'] Exploring Operation: 53+26=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 79, 61, 62, 17 ]
96
[ "79+17=96", "62-61=1", "96*1=96" ]
Current State: 96:[79, 61, 62, 17], Operations: [] Exploring Operation: 79+17=96, Resulting Numbers: [61, 62, 96] Generated Node #2: [61, 62, 96] from Operation: 79+17=96 Current State: 96:[61, 62, 96], Operations: ['79+17=96'] Exploring Operation: 62-61=1, Resulting Numbers: [96, 1] Generated Node #3: [96, 1] from Operation: 62-61=1 Current State: 96:[96, 1], Operations: ['79+17=96', '62-61=1'] Exploring Operation: 96*1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 6, 58, 2, 98 ]
44
[ "58-6=52", "98-2=96", "96-52=44" ]
Current State: 44:[6, 58, 2, 98], Operations: [] Exploring Operation: 58-6=52, Resulting Numbers: [2, 98, 52] Generated Node #2: [2, 98, 52] from Operation: 58-6=52 Current State: 44:[2, 98, 52], Operations: ['58-6=52'] Exploring Operation: 98-2=96, Resulting Numbers: [52, 96] Generated Node #3: [52, 96] from Operation: 98-2=96 Current State: 44:[52, 96], Operations: ['58-6=52', '98-2=96'] Exploring Operation: 96-52=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 10, 85, 52, 41 ]
84
[ "10+85=95", "52-41=11", "95-11=84" ]
Current State: 84:[10, 85, 52, 41], Operations: [] Exploring Operation: 10+85=95, Resulting Numbers: [52, 41, 95] Generated Node #2: [52, 41, 95] from Operation: 10+85=95 Current State: 84:[52, 41, 95], Operations: ['10+85=95'] Exploring Operation: 52-41=11, Resulting Numbers: [95, 11] Generated Node #3: [95, 11] from Operation: 52-41=11 Current State: 84:[95, 11], Operations: ['10+85=95', '52-41=11'] Exploring Operation: 95-11=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 10, 11, 70, 87 ]
17
[ "11-10=1", "87-70=17", "1*17=17" ]
Current State: 17:[10, 11, 70, 87], Operations: [] Exploring Operation: 11-10=1, Resulting Numbers: [70, 87, 1] Generated Node #2: [70, 87, 1] from Operation: 11-10=1 Current State: 17:[70, 87, 1], Operations: ['11-10=1'] Exploring Operation: 87-70=17, Resulting Numbers: [1, 17] Generated Node #3: [1, 17] from Operation: 87-70=17 Current State: 17:[1, 17], Operations: ['11-10=1', '87-70=17'] Exploring Operation: 1*17=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 83, 18, 16, 69 ]
16
[ "83+18=101", "16+69=85", "101-85=16" ]
Current State: 16:[83, 18, 16, 69], Operations: [] Exploring Operation: 83+18=101, Resulting Numbers: [16, 69, 101] Generated Node #2: [16, 69, 101] from Operation: 83+18=101 Current State: 16:[16, 69, 101], Operations: ['83+18=101'] Exploring Operation: 16+69=85, Resulting Numbers: [101, 85] Generated Node #3: [101, 85] from Operation: 16+69=85 Current State: 16:[101, 85], Operations: ['83+18=101', '16+69=85'] Exploring Operation: 101-85=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 88, 38, 60, 2 ]
39
[ "38+60=98", "98/2=49", "88-49=39" ]
Current State: 39:[88, 38, 60, 2], Operations: [] Exploring Operation: 38+60=98, Resulting Numbers: [88, 2, 98] Generated Node #2: [88, 2, 98] from Operation: 38+60=98 Current State: 39:[88, 2, 98], Operations: ['38+60=98'] Exploring Operation: 98/2=49, Resulting Numbers: [88, 49] Generated Node #3: [88, 49] from Operation: 98/2=49 Current State: 39:[88, 49], Operations: ['38+60=98', '98/2=49'] Exploring Operation: 88-49=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 49, 40, 24, 51 ]
60
[ "49+51=100", "24*100=2400", "2400/40=60" ]
Current State: 60:[49, 40, 24, 51], Operations: [] Exploring Operation: 49+51=100, Resulting Numbers: [40, 24, 100] Generated Node #2: [40, 24, 100] from Operation: 49+51=100 Current State: 60:[40, 24, 100], Operations: ['49+51=100'] Exploring Operation: 24*100=2400, Resulting Numbers: [40, 2400] Generated Node #3: [40, 2400] from Operation: 24*100=2400 Current State: 60:[40, 2400], Operations: ['49+51=100', '24*100=2400'] Exploring Operation: 2400/40=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 18, 90, 12, 7 ]
25
[ "90/18=5", "12-7=5", "5*5=25" ]
Current State: 25:[18, 90, 12, 7], Operations: [] Exploring Operation: 90/18=5, Resulting Numbers: [12, 7, 5] Generated Node #2: [12, 7, 5] from Operation: 90/18=5 Current State: 25:[12, 7, 5], Operations: ['90/18=5'] Exploring Operation: 12-7=5, Resulting Numbers: [5, 5] Generated Node #3: [5, 5] from Operation: 12-7=5 Current State: 25:[5, 5], Operations: ['90/18=5', '12-7=5'] Exploring Operation: 5*5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 24, 30, 57, 68 ]
16
[ "68-30=38", "24*38=912", "912/57=16" ]
Current State: 16:[24, 30, 57, 68], Operations: [] Exploring Operation: 68-30=38, Resulting Numbers: [24, 57, 38] Generated Node #2: [24, 57, 38] from Operation: 68-30=38 Current State: 16:[24, 57, 38], Operations: ['68-30=38'] Exploring Operation: 24*38=912, Resulting Numbers: [57, 912] Generated Node #3: [57, 912] from Operation: 24*38=912 Current State: 16:[57, 912], Operations: ['68-30=38', '24*38=912'] Exploring Operation: 912/57=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 61, 6, 70, 7 ]
77
[ "61+6=67", "70/7=10", "67+10=77" ]
Current State: 77:[61, 6, 70, 7], Operations: [] Exploring Operation: 61+6=67, Resulting Numbers: [70, 7, 67] Generated Node #2: [70, 7, 67] from Operation: 61+6=67 Current State: 77:[70, 7, 67], Operations: ['61+6=67'] Exploring Operation: 70/7=10, Resulting Numbers: [67, 10] Generated Node #3: [67, 10] from Operation: 70/7=10 Current State: 77:[67, 10], Operations: ['61+6=67', '70/7=10'] Exploring Operation: 67+10=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 48, 31, 8, 7 ]
39
[ "48-31=17", "8*7=56", "56-17=39" ]
Current State: 39:[48, 31, 8, 7], Operations: [] Exploring Operation: 48-31=17, Resulting Numbers: [8, 7, 17] Generated Node #2: [8, 7, 17] from Operation: 48-31=17 Current State: 39:[8, 7, 17], Operations: ['48-31=17'] Exploring Operation: 8*7=56, Resulting Numbers: [17, 56] Generated Node #3: [17, 56] from Operation: 8*7=56 Current State: 39:[17, 56], Operations: ['48-31=17', '8*7=56'] Exploring Operation: 56-17=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 43, 57, 79, 55 ]
34
[ "43+57=100", "79+55=134", "134-100=34" ]
Current State: 34:[43, 57, 79, 55], Operations: [] Exploring Operation: 43+57=100, Resulting Numbers: [79, 55, 100] Generated Node #2: [79, 55, 100] from Operation: 43+57=100 Current State: 34:[79, 55, 100], Operations: ['43+57=100'] Exploring Operation: 79+55=134, Resulting Numbers: [100, 134] Generated Node #3: [100, 134] from Operation: 79+55=134 Current State: 34:[100, 134], Operations: ['43+57=100', '79+55=134'] Exploring Operation: 134-100=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 93, 59, 93, 28 ]
32
[ "93/93=1", "59-28=31", "1+31=32" ]
Current State: 32:[93, 59, 93, 28], Operations: [] Exploring Operation: 93/93=1, Resulting Numbers: [59, 28, 1] Generated Node #2: [59, 28, 1] from Operation: 93/93=1 Current State: 32:[59, 28, 1], Operations: ['93/93=1'] Exploring Operation: 59-28=31, Resulting Numbers: [1, 31] Generated Node #3: [1, 31] from Operation: 59-28=31 Current State: 32:[1, 31], Operations: ['93/93=1', '59-28=31'] Exploring Operation: 1+31=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 7, 53, 99, 81 ]
79
[ "7+99=106", "106/53=2", "81-2=79" ]
Current State: 79:[7, 53, 99, 81], Operations: [] Exploring Operation: 7+99=106, Resulting Numbers: [53, 81, 106] Generated Node #2: [53, 81, 106] from Operation: 7+99=106 Current State: 79:[53, 81, 106], Operations: ['7+99=106'] Exploring Operation: 106/53=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 106/53=2 Current State: 79:[81, 2], Operations: ['7+99=106', '106/53=2'] Exploring Operation: 81-2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 2, 76, 47, 66 ]
38
[ "66-47=19", "2*19=38", "76-38=38" ]
Current State: 38:[2, 76, 47, 66], Operations: [] Exploring Operation: 66-47=19, Resulting Numbers: [2, 76, 19] Generated Node #2: [2, 76, 19] from Operation: 66-47=19 Current State: 38:[2, 76, 19], Operations: ['66-47=19'] Exploring Operation: 2*19=38, Resulting Numbers: [76, 38] Generated Node #3: [76, 38] from Operation: 2*19=38 Current State: 38:[76, 38], Operations: ['66-47=19', '2*19=38'] Exploring Operation: 76-38=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 14, 54, 82, 82 ]
54
[ "82-82=0", "14*0=0", "54+0=54" ]
Current State: 54:[14, 54, 82, 82], Operations: [] Exploring Operation: 82-82=0, Resulting Numbers: [14, 54, 0] Generated Node #2: [14, 54, 0] from Operation: 82-82=0 Current State: 54:[14, 54, 0], Operations: ['82-82=0'] Exploring Operation: 14*0=0, Resulting Numbers: [54, 0] Generated Node #3: [54, 0] from Operation: 14*0=0 Current State: 54:[54, 0], Operations: ['82-82=0', '14*0=0'] Exploring Operation: 54+0=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 42, 84, 24, 42 ]
26
[ "42*24=1008", "84+1008=1092", "1092/42=26" ]
Current State: 26:[42, 84, 24, 42], Operations: [] Exploring Operation: 42*24=1008, Resulting Numbers: [84, 1008] Generated Node #2: [84, 1008] from Operation: 42*24=1008 Current State: 26:[84, 1008], Operations: ['42*24=1008'] Exploring Operation: 84+1008=1092, Resulting Numbers: [1092] 1092,26 equal: Goal Reached Exploring Operation: 1092/42=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 77, 17, 74, 93 ]
48
[ "77-74=3", "93/3=31", "17+31=48" ]
Current State: 48:[77, 17, 74, 93], Operations: [] Exploring Operation: 77-74=3, Resulting Numbers: [17, 93, 3] Generated Node #2: [17, 93, 3] from Operation: 77-74=3 Current State: 48:[17, 93, 3], Operations: ['77-74=3'] Exploring Operation: 93/3=31, Resulting Numbers: [17, 31] Generated Node #3: [17, 31] from Operation: 93/3=31 Current State: 48:[17, 31], Operations: ['77-74=3', '93/3=31'] Exploring Operation: 17+31=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 23, 25, 24, 50 ]
62
[ "25-23=2", "24/2=12", "50+12=62" ]
Current State: 62:[23, 25, 24, 50], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [24, 50, 2] Generated Node #2: [24, 50, 2] from Operation: 25-23=2 Current State: 62:[24, 50, 2], Operations: ['25-23=2'] Exploring Operation: 24/2=12, Resulting Numbers: [50, 12] Generated Node #3: [50, 12] from Operation: 24/2=12 Current State: 62:[50, 12], Operations: ['25-23=2', '24/2=12'] Exploring Operation: 50+12=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 8, 68, 22, 11 ]
97
[ "8*22=176", "68+11=79", "176-79=97" ]
Current State: 97:[8, 68, 22, 11], Operations: [] Exploring Operation: 8*22=176, Resulting Numbers: [68, 11, 176] Generated Node #2: [68, 11, 176] from Operation: 8*22=176 Current State: 97:[68, 11, 176], Operations: ['8*22=176'] Exploring Operation: 68+11=79, Resulting Numbers: [176, 79] Generated Node #3: [176, 79] from Operation: 68+11=79 Current State: 97:[176, 79], Operations: ['8*22=176', '68+11=79'] Exploring Operation: 176-79=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 17, 7, 95, 85 ]
14
[ "17+7=24", "95-85=10", "24-10=14" ]
Current State: 14:[17, 7, 95, 85], Operations: [] Exploring Operation: 17+7=24, Resulting Numbers: [95, 85, 24] Generated Node #2: [95, 85, 24] from Operation: 17+7=24 Current State: 14:[95, 85, 24], Operations: ['17+7=24'] Exploring Operation: 95-85=10, Resulting Numbers: [24, 10] Generated Node #3: [24, 10] from Operation: 95-85=10 Current State: 14:[24, 10], Operations: ['17+7=24', '95-85=10'] Exploring Operation: 24-10=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 84, 56, 63, 5 ]
87
[ "63-5=58", "84*58=4872", "4872/56=87" ]
Current State: 87:[84, 56, 63, 5], Operations: [] Exploring Operation: 63-5=58, Resulting Numbers: [84, 56, 58] Generated Node #2: [84, 56, 58] from Operation: 63-5=58 Current State: 87:[84, 56, 58], Operations: ['63-5=58'] Exploring Operation: 84*58=4872, Resulting Numbers: [56, 4872] Generated Node #3: [56, 4872] from Operation: 84*58=4872 Current State: 87:[56, 4872], Operations: ['63-5=58', '84*58=4872'] Exploring Operation: 4872/56=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 90, 24, 9, 12 ]
87
[ "90-24=66", "9+12=21", "66+21=87" ]
Current State: 87:[90, 24, 9, 12], Operations: [] Exploring Operation: 90-24=66, Resulting Numbers: [9, 12, 66] Generated Node #2: [9, 12, 66] from Operation: 90-24=66 Current State: 87:[9, 12, 66], Operations: ['90-24=66'] Exploring Operation: 9+12=21, Resulting Numbers: [66, 21] Generated Node #3: [66, 21] from Operation: 9+12=21 Current State: 87:[66, 21], Operations: ['90-24=66', '9+12=21'] Exploring Operation: 66+21=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 24, 80, 40, 1 ]
97
[ "80-24=56", "40+1=41", "56+41=97" ]
Current State: 97:[24, 80, 40, 1], Operations: [] Exploring Operation: 80-24=56, Resulting Numbers: [40, 1, 56] Generated Node #2: [40, 1, 56] from Operation: 80-24=56 Current State: 97:[40, 1, 56], Operations: ['80-24=56'] Exploring Operation: 40+1=41, Resulting Numbers: [56, 41] Generated Node #3: [56, 41] from Operation: 40+1=41 Current State: 97:[56, 41], Operations: ['80-24=56', '40+1=41'] Exploring Operation: 56+41=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 59, 91, 53, 55 ]
42
[ "59+91=150", "53+55=108", "150-108=42" ]
Current State: 42:[59, 91, 53, 55], Operations: [] Exploring Operation: 59+91=150, Resulting Numbers: [53, 55, 150] Generated Node #2: [53, 55, 150] from Operation: 59+91=150 Current State: 42:[53, 55, 150], Operations: ['59+91=150'] Exploring Operation: 53+55=108, Resulting Numbers: [150, 108] Generated Node #3: [150, 108] from Operation: 53+55=108 Current State: 42:[150, 108], Operations: ['59+91=150', '53+55=108'] Exploring Operation: 150-108=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 39, 51, 25, 44 ]
31
[ "51-39=12", "44-25=19", "12+19=31" ]
Current State: 31:[39, 51, 25, 44], Operations: [] Exploring Operation: 51-39=12, Resulting Numbers: [25, 44, 12] Generated Node #2: [25, 44, 12] from Operation: 51-39=12 Current State: 31:[25, 44, 12], Operations: ['51-39=12'] Exploring Operation: 44-25=19, Resulting Numbers: [12, 19] Generated Node #3: [12, 19] from Operation: 44-25=19 Current State: 31:[12, 19], Operations: ['51-39=12', '44-25=19'] Exploring Operation: 12+19=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 84, 45, 74, 79 ]
47
[ "84+74=158", "158/79=2", "45+2=47" ]
Current State: 47:[84, 45, 74, 79], Operations: [] Exploring Operation: 84+74=158, Resulting Numbers: [45, 79, 158] Generated Node #2: [45, 79, 158] from Operation: 84+74=158 Current State: 47:[45, 79, 158], Operations: ['84+74=158'] Exploring Operation: 158/79=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 158/79=2 Current State: 47:[45, 2], Operations: ['84+74=158', '158/79=2'] Exploring Operation: 45+2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 30, 47, 51, 97 ]
100
[ "47-30=17", "51/17=3", "97+3=100" ]
Current State: 100:[30, 47, 51, 97], Operations: [] Exploring Operation: 47-30=17, Resulting Numbers: [51, 97, 17] Generated Node #2: [51, 97, 17] from Operation: 47-30=17 Current State: 100:[51, 97, 17], Operations: ['47-30=17'] Exploring Operation: 51/17=3, Resulting Numbers: [97, 3] Generated Node #3: [97, 3] from Operation: 51/17=3 Current State: 100:[97, 3], Operations: ['47-30=17', '51/17=3'] Exploring Operation: 97+3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 33, 55, 74, 65 ]
79
[ "33+55=88", "74-65=9", "88-9=79" ]
Current State: 79:[33, 55, 74, 65], Operations: [] Exploring Operation: 33+55=88, Resulting Numbers: [74, 65, 88] Generated Node #2: [74, 65, 88] from Operation: 33+55=88 Current State: 79:[74, 65, 88], Operations: ['33+55=88'] Exploring Operation: 74-65=9, Resulting Numbers: [88, 9] Generated Node #3: [88, 9] from Operation: 74-65=9 Current State: 79:[88, 9], Operations: ['33+55=88', '74-65=9'] Exploring Operation: 88-9=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 5, 64, 4, 68 ]
11
[ "68-64=4", "4*4=16", "16-5=11" ]
Current State: 11:[5, 64, 4, 68], Operations: [] Exploring Operation: 68-64=4, Resulting Numbers: [5, 4, 4] Generated Node #2: [5, 4, 4] from Operation: 68-64=4 Current State: 11:[5, 4, 4], Operations: ['68-64=4'] Exploring Operation: 4*4=16, Resulting Numbers: [5, 16] Generated Node #3: [5, 16] from Operation: 4*4=16 Current State: 11:[5, 16], Operations: ['68-64=4', '4*4=16'] Exploring Operation: 16-5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 95, 62, 9, 19 ]
66
[ "95/19=5", "62+9=71", "71-5=66" ]
Current State: 66:[95, 62, 9, 19], Operations: [] Exploring Operation: 95/19=5, Resulting Numbers: [62, 9, 5] Generated Node #2: [62, 9, 5] from Operation: 95/19=5 Current State: 66:[62, 9, 5], Operations: ['95/19=5'] Exploring Operation: 62+9=71, Resulting Numbers: [5, 71] Generated Node #3: [5, 71] from Operation: 62+9=71 Current State: 66:[5, 71], Operations: ['95/19=5', '62+9=71'] Exploring Operation: 71-5=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 67, 11, 25, 32 ]
34
[ "67+32=99", "99/11=9", "25+9=34" ]
Current State: 34:[67, 11, 25, 32], Operations: [] Exploring Operation: 67+32=99, Resulting Numbers: [11, 25, 99] Generated Node #2: [11, 25, 99] from Operation: 67+32=99 Current State: 34:[11, 25, 99], Operations: ['67+32=99'] Exploring Operation: 99/11=9, Resulting Numbers: [25, 9] Generated Node #3: [25, 9] from Operation: 99/11=9 Current State: 34:[25, 9], Operations: ['67+32=99', '99/11=9'] Exploring Operation: 25+9=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 14, 52, 2, 8 ]
11
[ "14+52=66", "8-2=6", "66/6=11" ]
Current State: 11:[14, 52, 2, 8], Operations: [] Exploring Operation: 14+52=66, Resulting Numbers: [2, 8, 66] Generated Node #2: [2, 8, 66] from Operation: 14+52=66 Current State: 11:[2, 8, 66], Operations: ['14+52=66'] Exploring Operation: 8-2=6, Resulting Numbers: [66, 6] Generated Node #3: [66, 6] from Operation: 8-2=6 Current State: 11:[66, 6], Operations: ['14+52=66', '8-2=6'] Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 27, 28, 24, 52 ]
76
[ "28-27=1", "24+52=76", "1*76=76" ]
Current State: 76:[27, 28, 24, 52], Operations: [] Exploring Operation: 28-27=1, Resulting Numbers: [24, 52, 1] Generated Node #2: [24, 52, 1] from Operation: 28-27=1 Current State: 76:[24, 52, 1], Operations: ['28-27=1'] Exploring Operation: 24+52=76, Resulting Numbers: [1, 76] Generated Node #3: [1, 76] from Operation: 24+52=76 Current State: 76:[1, 76], Operations: ['28-27=1', '24+52=76'] Exploring Operation: 1*76=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 80, 18, 72, 88 ]
12
[ "88-80=8", "72/18=4", "8+4=12" ]
Current State: 12:[80, 18, 72, 88], Operations: [] Exploring Operation: 88-80=8, Resulting Numbers: [18, 72, 8] Generated Node #2: [18, 72, 8] from Operation: 88-80=8 Current State: 12:[18, 72, 8], Operations: ['88-80=8'] Exploring Operation: 72/18=4, Resulting Numbers: [8, 4] Generated Node #3: [8, 4] from Operation: 72/18=4 Current State: 12:[8, 4], Operations: ['88-80=8', '72/18=4'] Exploring Operation: 8+4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 23, 69, 2, 78 ]
85
[ "23+69=92", "78+92=170", "170/2=85" ]
Current State: 85:[23, 69, 2, 78], Operations: [] Exploring Operation: 23+69=92, Resulting Numbers: [2, 78, 92] Generated Node #2: [2, 78, 92] from Operation: 23+69=92 Current State: 85:[2, 78, 92], Operations: ['23+69=92'] Exploring Operation: 78+92=170, Resulting Numbers: [2, 170] Generated Node #3: [2, 170] from Operation: 78+92=170 Current State: 85:[2, 170], Operations: ['23+69=92', '78+92=170'] Exploring Operation: 170/2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 67, 48, 81, 13 ]
72
[ "67-13=54", "48*81=3888", "3888/54=72" ]
Current State: 72:[67, 48, 81, 13], Operations: [] Exploring Operation: 67-13=54, Resulting Numbers: [48, 81, 54] Generated Node #2: [48, 81, 54] from Operation: 67-13=54 Current State: 72:[48, 81, 54], Operations: ['67-13=54'] Exploring Operation: 48*81=3888, Resulting Numbers: [54, 3888] Generated Node #3: [54, 3888] from Operation: 48*81=3888 Current State: 72:[54, 3888], Operations: ['67-13=54', '48*81=3888'] Exploring Operation: 3888/54=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 4, 75, 35, 84 ]
76
[ "75-35=40", "4*40=160", "160-84=76" ]
Current State: 76:[4, 75, 35, 84], Operations: [] Exploring Operation: 75-35=40, Resulting Numbers: [4, 84, 40] Generated Node #2: [4, 84, 40] from Operation: 75-35=40 Current State: 76:[4, 84, 40], Operations: ['75-35=40'] Exploring Operation: 4*40=160, Resulting Numbers: [84, 160] Generated Node #3: [84, 160] from Operation: 4*40=160 Current State: 76:[84, 160], Operations: ['75-35=40', '4*40=160'] Exploring Operation: 160-84=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 39, 87, 68, 69 ]
72
[ "68-39=29", "87/29=3", "69+3=72" ]
Current State: 72:[39, 87, 68, 69], Operations: [] Exploring Operation: 68-39=29, Resulting Numbers: [87, 69, 29] Generated Node #2: [87, 69, 29] from Operation: 68-39=29 Current State: 72:[87, 69, 29], Operations: ['68-39=29'] Exploring Operation: 87/29=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 87/29=3 Current State: 72:[69, 3], Operations: ['68-39=29', '87/29=3'] Exploring Operation: 69+3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 24, 19, 2, 31 ]
19
[ "24+19=43", "2*31=62", "62-43=19" ]
Current State: 19:[24, 19, 2, 31], Operations: [] Exploring Operation: 24+19=43, Resulting Numbers: [2, 31, 43] Generated Node #2: [2, 31, 43] from Operation: 24+19=43 Current State: 19:[2, 31, 43], Operations: ['24+19=43'] Exploring Operation: 2*31=62, Resulting Numbers: [43, 62] Generated Node #3: [43, 62] from Operation: 2*31=62 Current State: 19:[43, 62], Operations: ['24+19=43', '2*31=62'] Exploring Operation: 62-43=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 28, 84, 76, 92 ]
56
[ "28+84=112", "76+92=168", "168-112=56" ]
Current State: 56:[28, 84, 76, 92], Operations: [] Exploring Operation: 28+84=112, Resulting Numbers: [76, 92, 112] Generated Node #2: [76, 92, 112] from Operation: 28+84=112 Current State: 56:[76, 92, 112], Operations: ['28+84=112'] Exploring Operation: 76+92=168, Resulting Numbers: [112, 168] Generated Node #3: [112, 168] from Operation: 76+92=168 Current State: 56:[112, 168], Operations: ['28+84=112', '76+92=168'] Exploring Operation: 168-112=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 76, 54, 46, 28 ]
27
[ "76-46=30", "30-28=2", "54/2=27" ]
Current State: 27:[76, 54, 46, 28], Operations: [] Exploring Operation: 76-46=30, Resulting Numbers: [54, 28, 30] Generated Node #2: [54, 28, 30] from Operation: 76-46=30 Current State: 27:[54, 28, 30], Operations: ['76-46=30'] Exploring Operation: 30-28=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 30-28=2 Current State: 27:[54, 2], Operations: ['76-46=30', '30-28=2'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 2, 10, 99, 49 ]
11
[ "2*49=98", "10+99=109", "109-98=11" ]
Current State: 11:[2, 10, 99, 49], Operations: [] Exploring Operation: 2*49=98, Resulting Numbers: [10, 99, 98] Generated Node #2: [10, 99, 98] from Operation: 2*49=98 Current State: 11:[10, 99, 98], Operations: ['2*49=98'] Exploring Operation: 10+99=109, Resulting Numbers: [98, 109] Generated Node #3: [98, 109] from Operation: 10+99=109 Current State: 11:[98, 109], Operations: ['2*49=98', '10+99=109'] Exploring Operation: 109-98=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 1, 66, 10, 12 ]
67
[ "66-1=65", "12-10=2", "65+2=67" ]
Current State: 67:[1, 66, 10, 12], Operations: [] Exploring Operation: 66-1=65, Resulting Numbers: [10, 12, 65] Generated Node #2: [10, 12, 65] from Operation: 66-1=65 Current State: 67:[10, 12, 65], Operations: ['66-1=65'] Exploring Operation: 12-10=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 12-10=2 Current State: 67:[65, 2], Operations: ['66-1=65', '12-10=2'] Exploring Operation: 65+2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 67, 15, 54, 60 ]
52
[ "67-54=13", "60/15=4", "13*4=52" ]
Current State: 52:[67, 15, 54, 60], Operations: [] Exploring Operation: 67-54=13, Resulting Numbers: [15, 60, 13] Generated Node #2: [15, 60, 13] from Operation: 67-54=13 Current State: 52:[15, 60, 13], Operations: ['67-54=13'] Exploring Operation: 60/15=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 60/15=4 Current State: 52:[13, 4], Operations: ['67-54=13', '60/15=4'] Exploring Operation: 13*4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 59, 98, 78, 88 ]
49
[ "98-59=39", "88-78=10", "39+10=49" ]
Current State: 49:[59, 98, 78, 88], Operations: [] Exploring Operation: 98-59=39, Resulting Numbers: [78, 88, 39] Generated Node #2: [78, 88, 39] from Operation: 98-59=39 Current State: 49:[78, 88, 39], Operations: ['98-59=39'] Exploring Operation: 88-78=10, Resulting Numbers: [39, 10] Generated Node #3: [39, 10] from Operation: 88-78=10 Current State: 49:[39, 10], Operations: ['98-59=39', '88-78=10'] Exploring Operation: 39+10=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 80, 6, 4, 92 ]
76
[ "92-80=12", "6*12=72", "4+72=76" ]
Current State: 76:[80, 6, 4, 92], Operations: [] Exploring Operation: 92-80=12, Resulting Numbers: [6, 4, 12] Generated Node #2: [6, 4, 12] from Operation: 92-80=12 Current State: 76:[6, 4, 12], Operations: ['92-80=12'] Exploring Operation: 6*12=72, Resulting Numbers: [4, 72] Generated Node #3: [4, 72] from Operation: 6*12=72 Current State: 76:[4, 72], Operations: ['92-80=12', '6*12=72'] Exploring Operation: 4+72=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 39, 81, 96, 30 ]
54
[ "39+81=120", "96-30=66", "120-66=54" ]
Current State: 54:[39, 81, 96, 30], Operations: [] Exploring Operation: 39+81=120, Resulting Numbers: [96, 30, 120] Generated Node #2: [96, 30, 120] from Operation: 39+81=120 Current State: 54:[96, 30, 120], Operations: ['39+81=120'] Exploring Operation: 96-30=66, Resulting Numbers: [120, 66] Generated Node #3: [120, 66] from Operation: 96-30=66 Current State: 54:[120, 66], Operations: ['39+81=120', '96-30=66'] Exploring Operation: 120-66=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 48, 25, 55, 68 ]
100
[ "48-25=23", "55+68=123", "123-23=100" ]
Current State: 100:[48, 25, 55, 68], Operations: [] Exploring Operation: 48-25=23, Resulting Numbers: [55, 68, 23] Generated Node #2: [55, 68, 23] from Operation: 48-25=23 Current State: 100:[55, 68, 23], Operations: ['48-25=23'] Exploring Operation: 55+68=123, Resulting Numbers: [23, 123] Generated Node #3: [23, 123] from Operation: 55+68=123 Current State: 100:[23, 123], Operations: ['48-25=23', '55+68=123'] Exploring Operation: 123-23=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 93, 28, 37, 90 ]
45
[ "93-37=56", "28*90=2520", "2520/56=45" ]
Current State: 45:[93, 28, 37, 90], Operations: [] Exploring Operation: 93-37=56, Resulting Numbers: [28, 90, 56] Generated Node #2: [28, 90, 56] from Operation: 93-37=56 Current State: 45:[28, 90, 56], Operations: ['93-37=56'] Exploring Operation: 28*90=2520, Resulting Numbers: [56, 2520] Generated Node #3: [56, 2520] from Operation: 28*90=2520 Current State: 45:[56, 2520], Operations: ['93-37=56', '28*90=2520'] Exploring Operation: 2520/56=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 62, 31, 20, 51 ]
41
[ "62/31=2", "20/2=10", "51-10=41" ]
Current State: 41:[62, 31, 20, 51], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [20, 51, 2] Generated Node #2: [20, 51, 2] from Operation: 62/31=2 Current State: 41:[20, 51, 2], Operations: ['62/31=2'] Exploring Operation: 20/2=10, Resulting Numbers: [51, 10] Generated Node #3: [51, 10] from Operation: 20/2=10 Current State: 41:[51, 10], Operations: ['62/31=2', '20/2=10'] Exploring Operation: 51-10=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 93, 42, 31, 66 ]
27
[ "93/31=3", "66-42=24", "3+24=27" ]
Current State: 27:[93, 42, 31, 66], Operations: [] Exploring Operation: 93/31=3, Resulting Numbers: [42, 66, 3] Generated Node #2: [42, 66, 3] from Operation: 93/31=3 Current State: 27:[42, 66, 3], Operations: ['93/31=3'] Exploring Operation: 66-42=24, Resulting Numbers: [3, 24] Generated Node #3: [3, 24] from Operation: 66-42=24 Current State: 27:[3, 24], Operations: ['93/31=3', '66-42=24'] Exploring Operation: 3+24=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 80, 16, 19, 41 ]
65
[ "80/16=5", "19+41=60", "5+60=65" ]
Current State: 65:[80, 16, 19, 41], Operations: [] Exploring Operation: 80/16=5, Resulting Numbers: [19, 41, 5] Generated Node #2: [19, 41, 5] from Operation: 80/16=5 Current State: 65:[19, 41, 5], Operations: ['80/16=5'] Exploring Operation: 19+41=60, Resulting Numbers: [5, 60] Generated Node #3: [5, 60] from Operation: 19+41=60 Current State: 65:[5, 60], Operations: ['80/16=5', '19+41=60'] Exploring Operation: 5+60=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 26, 35, 6, 36 ]
55
[ "26+35=61", "36/6=6", "61-6=55" ]
Current State: 55:[26, 35, 6, 36], Operations: [] Exploring Operation: 26+35=61, Resulting Numbers: [6, 36, 61] Generated Node #2: [6, 36, 61] from Operation: 26+35=61 Current State: 55:[6, 36, 61], Operations: ['26+35=61'] Exploring Operation: 36/6=6, Resulting Numbers: [61, 6] Generated Node #3: [61, 6] from Operation: 36/6=6 Current State: 55:[61, 6], Operations: ['26+35=61', '36/6=6'] Exploring Operation: 61-6=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 3, 73, 58, 50 ]
17
[ "73+50=123", "123/3=41", "58-41=17" ]
Current State: 17:[3, 73, 58, 50], Operations: [] Exploring Operation: 73+50=123, Resulting Numbers: [3, 58, 123] Generated Node #2: [3, 58, 123] from Operation: 73+50=123 Current State: 17:[3, 58, 123], Operations: ['73+50=123'] Exploring Operation: 123/3=41, Resulting Numbers: [58, 41] Generated Node #3: [58, 41] from Operation: 123/3=41 Current State: 17:[58, 41], Operations: ['73+50=123', '123/3=41'] Exploring Operation: 58-41=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 8, 99, 91, 32 ]
33
[ "99-8=91", "91/91=1", "32+1=33" ]
Current State: 33:[8, 99, 91, 32], Operations: [] Exploring Operation: 99-8=91, Resulting Numbers: [91, 32, 91] Generated Node #2: [91, 32, 91] from Operation: 99-8=91 Current State: 33:[91, 32, 91], Operations: ['99-8=91'] Exploring Operation: 91/91=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 91/91=1 Current State: 33:[32, 1], Operations: ['99-8=91', '91/91=1'] Exploring Operation: 32+1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 11, 22, 20, 5 ]
66
[ "11*20=220", "220/5=44", "22+44=66" ]
Current State: 66:[11, 22, 20, 5], Operations: [] Exploring Operation: 11*20=220, Resulting Numbers: [22, 5, 220] Generated Node #2: [22, 5, 220] from Operation: 11*20=220 Current State: 66:[22, 5, 220], Operations: ['11*20=220'] Exploring Operation: 220/5=44, Resulting Numbers: [22, 44] Generated Node #3: [22, 44] from Operation: 220/5=44 Current State: 66:[22, 44], Operations: ['11*20=220', '220/5=44'] Exploring Operation: 22+44=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 57, 25, 84, 31 ]
29
[ "57+25=82", "84-31=53", "82-53=29" ]
Current State: 29:[57, 25, 84, 31], Operations: [] Exploring Operation: 57+25=82, Resulting Numbers: [84, 31, 82] Generated Node #2: [84, 31, 82] from Operation: 57+25=82 Current State: 29:[84, 31, 82], Operations: ['57+25=82'] Exploring Operation: 84-31=53, Resulting Numbers: [82, 53] Generated Node #3: [82, 53] from Operation: 84-31=53 Current State: 29:[82, 53], Operations: ['57+25=82', '84-31=53'] Exploring Operation: 82-53=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 7, 68, 93, 98 ]
37
[ "68+93=161", "98+161=259", "259/7=37" ]
Current State: 37:[7, 68, 93, 98], Operations: [] Exploring Operation: 68+93=161, Resulting Numbers: [7, 98, 161] Generated Node #2: [7, 98, 161] from Operation: 68+93=161 Current State: 37:[7, 98, 161], Operations: ['68+93=161'] Exploring Operation: 98+161=259, Resulting Numbers: [7, 259] Generated Node #3: [7, 259] from Operation: 98+161=259 Current State: 37:[7, 259], Operations: ['68+93=161', '98+161=259'] Exploring Operation: 259/7=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 72, 31, 35, 8 ]
14
[ "72-31=41", "35-8=27", "41-27=14" ]
Current State: 14:[72, 31, 35, 8], Operations: [] Exploring Operation: 72-31=41, Resulting Numbers: [35, 8, 41] Generated Node #2: [35, 8, 41] from Operation: 72-31=41 Current State: 14:[35, 8, 41], Operations: ['72-31=41'] Exploring Operation: 35-8=27, Resulting Numbers: [41, 27] Generated Node #3: [41, 27] from Operation: 35-8=27 Current State: 14:[41, 27], Operations: ['72-31=41', '35-8=27'] Exploring Operation: 41-27=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 82, 24, 83, 12 ]
42
[ "82*12=984", "984/24=41", "83-41=42" ]
Current State: 42:[82, 24, 83, 12], Operations: [] Exploring Operation: 82*12=984, Resulting Numbers: [24, 83, 984] Generated Node #2: [24, 83, 984] from Operation: 82*12=984 Current State: 42:[24, 83, 984], Operations: ['82*12=984'] Exploring Operation: 984/24=41, Resulting Numbers: [83, 41] Generated Node #3: [83, 41] from Operation: 984/24=41 Current State: 42:[83, 41], Operations: ['82*12=984', '984/24=41'] Exploring Operation: 83-41=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 26, 17, 10, 60 ]
27
[ "26+17=43", "10+60=70", "70-43=27" ]
Current State: 27:[26, 17, 10, 60], Operations: [] Exploring Operation: 26+17=43, Resulting Numbers: [10, 60, 43] Generated Node #2: [10, 60, 43] from Operation: 26+17=43 Current State: 27:[10, 60, 43], Operations: ['26+17=43'] Exploring Operation: 10+60=70, Resulting Numbers: [43, 70] Generated Node #3: [43, 70] from Operation: 10+60=70 Current State: 27:[43, 70], Operations: ['26+17=43', '10+60=70'] Exploring Operation: 70-43=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 20, 27, 13, 37 ]
71
[ "20+27=47", "37-13=24", "47+24=71" ]
Current State: 71:[20, 27, 13, 37], Operations: [] Exploring Operation: 20+27=47, Resulting Numbers: [13, 37, 47] Generated Node #2: [13, 37, 47] from Operation: 20+27=47 Current State: 71:[13, 37, 47], Operations: ['20+27=47'] Exploring Operation: 37-13=24, Resulting Numbers: [47, 24] Generated Node #3: [47, 24] from Operation: 37-13=24 Current State: 71:[47, 24], Operations: ['20+27=47', '37-13=24'] Exploring Operation: 47+24=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 2, 1, 48, 9 ]
57
[ "2-1=1", "48+9=57", "1*57=57" ]
Current State: 57:[2, 1, 48, 9], Operations: [] Exploring Operation: 2-1=1, Resulting Numbers: [48, 9, 1] Generated Node #2: [48, 9, 1] from Operation: 2-1=1 Current State: 57:[48, 9, 1], Operations: ['2-1=1'] Exploring Operation: 48+9=57, Resulting Numbers: [1, 57] Generated Node #3: [1, 57] from Operation: 48+9=57 Current State: 57:[1, 57], Operations: ['2-1=1', '48+9=57'] Exploring Operation: 1*57=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 83, 5, 86, 11 ]
22
[ "83+5=88", "88-86=2", "11*2=22" ]
Current State: 22:[83, 5, 86, 11], Operations: [] Exploring Operation: 83+5=88, Resulting Numbers: [86, 11, 88] Generated Node #2: [86, 11, 88] from Operation: 83+5=88 Current State: 22:[86, 11, 88], Operations: ['83+5=88'] Exploring Operation: 88-86=2, Resulting Numbers: [11, 2] Generated Node #3: [11, 2] from Operation: 88-86=2 Current State: 22:[11, 2], Operations: ['83+5=88', '88-86=2'] Exploring Operation: 11*2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 46, 52, 57, 7 ]
81
[ "57-52=5", "7*5=35", "46+35=81" ]
Current State: 81:[46, 52, 57, 7], Operations: [] Exploring Operation: 57-52=5, Resulting Numbers: [46, 7, 5] Generated Node #2: [46, 7, 5] from Operation: 57-52=5 Current State: 81:[46, 7, 5], Operations: ['57-52=5'] Exploring Operation: 7*5=35, Resulting Numbers: [46, 35] Generated Node #3: [46, 35] from Operation: 7*5=35 Current State: 81:[46, 35], Operations: ['57-52=5', '7*5=35'] Exploring Operation: 46+35=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 57, 20, 5, 3 ]
47
[ "5-3=2", "20/2=10", "57-10=47" ]
Current State: 47:[57, 20, 5, 3], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [57, 20, 2] Generated Node #2: [57, 20, 2] from Operation: 5-3=2 Current State: 47:[57, 20, 2], Operations: ['5-3=2'] Exploring Operation: 20/2=10, Resulting Numbers: [57, 10] Generated Node #3: [57, 10] from Operation: 20/2=10 Current State: 47:[57, 10], Operations: ['5-3=2', '20/2=10'] Exploring Operation: 57-10=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 97, 49, 89, 47 ]
88
[ "97-49=48", "89+47=136", "136-48=88" ]
Current State: 88:[97, 49, 89, 47], Operations: [] Exploring Operation: 97-49=48, Resulting Numbers: [89, 47, 48] Generated Node #2: [89, 47, 48] from Operation: 97-49=48 Current State: 88:[89, 47, 48], Operations: ['97-49=48'] Exploring Operation: 89+47=136, Resulting Numbers: [48, 136] Generated Node #3: [48, 136] from Operation: 89+47=136 Current State: 88:[48, 136], Operations: ['97-49=48', '89+47=136'] Exploring Operation: 136-48=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 61, 26, 14, 5 ]
53
[ "26+14=40", "40/5=8", "61-8=53" ]
Current State: 53:[61, 26, 14, 5], Operations: [] Exploring Operation: 26+14=40, Resulting Numbers: [61, 5, 40] Generated Node #2: [61, 5, 40] from Operation: 26+14=40 Current State: 53:[61, 5, 40], Operations: ['26+14=40'] Exploring Operation: 40/5=8, Resulting Numbers: [61, 8] Generated Node #3: [61, 8] from Operation: 40/5=8 Current State: 53:[61, 8], Operations: ['26+14=40', '40/5=8'] Exploring Operation: 61-8=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 56, 31, 49, 5 ]
76
[ "56-31=25", "5*25=125", "125-49=76" ]
Current State: 76:[56, 31, 49, 5], Operations: [] Exploring Operation: 56-31=25, Resulting Numbers: [49, 5, 25] Generated Node #2: [49, 5, 25] from Operation: 56-31=25 Current State: 76:[49, 5, 25], Operations: ['56-31=25'] Exploring Operation: 5*25=125, Resulting Numbers: [49, 125] Generated Node #3: [49, 125] from Operation: 5*25=125 Current State: 76:[49, 125], Operations: ['56-31=25', '5*25=125'] Exploring Operation: 125-49=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 56, 34, 73, 96 ]
98
[ "73-56=17", "34/17=2", "96+2=98" ]
Current State: 98:[56, 34, 73, 96], Operations: [] Exploring Operation: 73-56=17, Resulting Numbers: [34, 96, 17] Generated Node #2: [34, 96, 17] from Operation: 73-56=17 Current State: 98:[34, 96, 17], Operations: ['73-56=17'] Exploring Operation: 34/17=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 34/17=2 Current State: 98:[96, 2], Operations: ['73-56=17', '34/17=2'] Exploring Operation: 96+2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 27, 70, 58, 84 ]
71
[ "27+70=97", "84-58=26", "97-26=71" ]
Current State: 71:[27, 70, 58, 84], Operations: [] Exploring Operation: 27+70=97, Resulting Numbers: [58, 84, 97] Generated Node #2: [58, 84, 97] from Operation: 27+70=97 Current State: 71:[58, 84, 97], Operations: ['27+70=97'] Exploring Operation: 84-58=26, Resulting Numbers: [97, 26] Generated Node #3: [97, 26] from Operation: 84-58=26 Current State: 71:[97, 26], Operations: ['27+70=97', '84-58=26'] Exploring Operation: 97-26=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 3, 84, 90, 60 ]
78
[ "84+90=174", "60+174=234", "234/3=78" ]
Current State: 78:[3, 84, 90, 60], Operations: [] Exploring Operation: 84+90=174, Resulting Numbers: [3, 60, 174] Generated Node #2: [3, 60, 174] from Operation: 84+90=174 Current State: 78:[3, 60, 174], Operations: ['84+90=174'] Exploring Operation: 60+174=234, Resulting Numbers: [3, 234] Generated Node #3: [3, 234] from Operation: 60+174=234 Current State: 78:[3, 234], Operations: ['84+90=174', '60+174=234'] Exploring Operation: 234/3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 90, 83, 92, 21 ]
41
[ "92-90=2", "21*2=42", "83-42=41" ]
Current State: 41:[90, 83, 92, 21], Operations: [] Exploring Operation: 92-90=2, Resulting Numbers: [83, 21, 2] Generated Node #2: [83, 21, 2] from Operation: 92-90=2 Current State: 41:[83, 21, 2], Operations: ['92-90=2'] Exploring Operation: 21*2=42, Resulting Numbers: [83, 42] Generated Node #3: [83, 42] from Operation: 21*2=42 Current State: 41:[83, 42], Operations: ['92-90=2', '21*2=42'] Exploring Operation: 83-42=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 84, 27, 20, 75 ]
23
[ "84-75=9", "27/9=3", "20+3=23" ]
Current State: 23:[84, 27, 20, 75], Operations: [] Exploring Operation: 84-75=9, Resulting Numbers: [27, 20, 9] Generated Node #2: [27, 20, 9] from Operation: 84-75=9 Current State: 23:[27, 20, 9], Operations: ['84-75=9'] Exploring Operation: 27/9=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 27/9=3 Current State: 23:[20, 3], Operations: ['84-75=9', '27/9=3'] Exploring Operation: 20+3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 2, 81, 61, 71 ]
30
[ "2*81=162", "61+71=132", "162-132=30" ]
Current State: 30:[2, 81, 61, 71], Operations: [] Exploring Operation: 2*81=162, Resulting Numbers: [61, 71, 162] Generated Node #2: [61, 71, 162] from Operation: 2*81=162 Current State: 30:[61, 71, 162], Operations: ['2*81=162'] Exploring Operation: 61+71=132, Resulting Numbers: [162, 132] Generated Node #3: [162, 132] from Operation: 61+71=132 Current State: 30:[162, 132], Operations: ['2*81=162', '61+71=132'] Exploring Operation: 162-132=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 51, 6, 58, 24 ]
25
[ "51+6=57", "58+24=82", "82-57=25" ]
Current State: 25:[51, 6, 58, 24], Operations: [] Exploring Operation: 51+6=57, Resulting Numbers: [58, 24, 57] Generated Node #2: [58, 24, 57] from Operation: 51+6=57 Current State: 25:[58, 24, 57], Operations: ['51+6=57'] Exploring Operation: 58+24=82, Resulting Numbers: [57, 82] Generated Node #3: [57, 82] from Operation: 58+24=82 Current State: 25:[57, 82], Operations: ['51+6=57', '58+24=82'] Exploring Operation: 82-57=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 53, 45, 97, 20 ]
21
[ "53+45=98", "97-20=77", "98-77=21" ]
Current State: 21:[53, 45, 97, 20], Operations: [] Exploring Operation: 53+45=98, Resulting Numbers: [97, 20, 98] Generated Node #2: [97, 20, 98] from Operation: 53+45=98 Current State: 21:[97, 20, 98], Operations: ['53+45=98'] Exploring Operation: 97-20=77, Resulting Numbers: [98, 77] Generated Node #3: [98, 77] from Operation: 97-20=77 Current State: 21:[98, 77], Operations: ['53+45=98', '97-20=77'] Exploring Operation: 98-77=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 53, 18, 73, 57 ]
87
[ "53+18=71", "73-57=16", "71+16=87" ]
Current State: 87:[53, 18, 73, 57], Operations: [] Exploring Operation: 53+18=71, Resulting Numbers: [73, 57, 71] Generated Node #2: [73, 57, 71] from Operation: 53+18=71 Current State: 87:[73, 57, 71], Operations: ['53+18=71'] Exploring Operation: 73-57=16, Resulting Numbers: [71, 16] Generated Node #3: [71, 16] from Operation: 73-57=16 Current State: 87:[71, 16], Operations: ['53+18=71', '73-57=16'] Exploring Operation: 71+16=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4