Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 18, 5, 7, 3 ]
52
[ "18-5=13", "7-3=4", "13*4=52" ]
Current State: 52:[18, 5, 7, 3], Operations: [] Exploring Operation: 18-5=13, Resulting Numbers: [7, 3, 13] Generated Node #2: [7, 3, 13] from Operation: 18-5=13 Current State: 52:[7, 3, 13], Operations: ['18-5=13'] Exploring Operation: 7-3=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 7-3=4 Current State: 52:[13, 4], Operations: ['18-5=13', '7-3=4'] Exploring Operation: 13*4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 97, 76, 81, 23 ]
37
[ "97-76=21", "81-23=58", "58-21=37" ]
Current State: 37:[97, 76, 81, 23], Operations: [] Exploring Operation: 97-76=21, Resulting Numbers: [81, 23, 21] Generated Node #2: [81, 23, 21] from Operation: 97-76=21 Current State: 37:[81, 23, 21], Operations: ['97-76=21'] Exploring Operation: 81-23=58, Resulting Numbers: [21, 58] Generated Node #3: [21, 58] from Operation: 81-23=58 Current State: 37:[21, 58], Operations: ['97-76=21', '81-23=58'] Exploring Operation: 58-21=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 48, 54, 82, 79 ]
90
[ "82-79=3", "48*3=144", "144-54=90" ]
Current State: 90:[48, 54, 82, 79], Operations: [] Exploring Operation: 82-79=3, Resulting Numbers: [48, 54, 3] Generated Node #2: [48, 54, 3] from Operation: 82-79=3 Current State: 90:[48, 54, 3], Operations: ['82-79=3'] Exploring Operation: 48*3=144, Resulting Numbers: [54, 144] Generated Node #3: [54, 144] from Operation: 48*3=144 Current State: 90:[54, 144], Operations: ['82-79=3', '48*3=144'] Exploring Operation: 144-54=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 95, 97, 95, 17 ]
76
[ "97-95=2", "95-17=78", "78-2=76" ]
Current State: 76:[95, 97, 95, 17], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [17, 2] Generated Node #2: [17, 2] from Operation: 97-95=2 Current State: 76:[17, 2], Operations: ['97-95=2'] Exploring Operation: 95-17=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 95-17=78 Current State: 76:[2, 78], Operations: ['97-95=2', '95-17=78'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 12, 34, 62, 15 ]
99
[ "34-12=22", "62+15=77", "22+77=99" ]
Current State: 99:[12, 34, 62, 15], Operations: [] Exploring Operation: 34-12=22, Resulting Numbers: [62, 15, 22] Generated Node #2: [62, 15, 22] from Operation: 34-12=22 Current State: 99:[62, 15, 22], Operations: ['34-12=22'] Exploring Operation: 62+15=77, Resulting Numbers: [22, 77] Generated Node #3: [22, 77] from Operation: 62+15=77 Current State: 99:[22, 77], Operations: ['34-12=22', '62+15=77'] Exploring Operation: 22+77=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 28, 93, 20, 47 ]
35
[ "93+47=140", "140/20=7", "28+7=35" ]
Current State: 35:[28, 93, 20, 47], Operations: [] Exploring Operation: 93+47=140, Resulting Numbers: [28, 20, 140] Generated Node #2: [28, 20, 140] from Operation: 93+47=140 Current State: 35:[28, 20, 140], Operations: ['93+47=140'] Exploring Operation: 140/20=7, Resulting Numbers: [28, 7] Generated Node #3: [28, 7] from Operation: 140/20=7 Current State: 35:[28, 7], Operations: ['93+47=140', '140/20=7'] Exploring Operation: 28+7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 18, 18, 59, 41 ]
19
[ "18/18=1", "59-41=18", "1+18=19" ]
Current State: 19:[18, 18, 59, 41], Operations: [] Exploring Operation: 18/18=1, Resulting Numbers: [59, 41, 1] Generated Node #2: [59, 41, 1] from Operation: 18/18=1 Current State: 19:[59, 41, 1], Operations: ['18/18=1'] Exploring Operation: 59-41=18, Resulting Numbers: [1, 18] Generated Node #3: [1, 18] from Operation: 59-41=18 Current State: 19:[1, 18], Operations: ['18/18=1', '59-41=18'] Exploring Operation: 1+18=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 84, 42, 59, 2 ]
34
[ "84-42=42", "59-42=17", "2*17=34" ]
Current State: 34:[84, 42, 59, 2], Operations: [] Exploring Operation: 84-42=42, Resulting Numbers: [59, 2, 42] Generated Node #2: [59, 2, 42] from Operation: 84-42=42 Current State: 34:[59, 2, 42], Operations: ['84-42=42'] Exploring Operation: 59-42=17, Resulting Numbers: [2, 17] Generated Node #3: [2, 17] from Operation: 59-42=17 Current State: 34:[2, 17], Operations: ['84-42=42', '59-42=17'] Exploring Operation: 2*17=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 58, 88, 6, 4 ]
86
[ "58+6=64", "88/4=22", "64+22=86" ]
Current State: 86:[58, 88, 6, 4], Operations: [] Exploring Operation: 58+6=64, Resulting Numbers: [88, 4, 64] Generated Node #2: [88, 4, 64] from Operation: 58+6=64 Current State: 86:[88, 4, 64], Operations: ['58+6=64'] Exploring Operation: 88/4=22, Resulting Numbers: [64, 22] Generated Node #3: [64, 22] from Operation: 88/4=22 Current State: 86:[64, 22], Operations: ['58+6=64', '88/4=22'] Exploring Operation: 64+22=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 59, 2, 76, 58 ]
95
[ "76-58=18", "2*18=36", "59+36=95" ]
Current State: 95:[59, 2, 76, 58], Operations: [] Exploring Operation: 76-58=18, Resulting Numbers: [59, 2, 18] Generated Node #2: [59, 2, 18] from Operation: 76-58=18 Current State: 95:[59, 2, 18], Operations: ['76-58=18'] Exploring Operation: 2*18=36, Resulting Numbers: [59, 36] Generated Node #3: [59, 36] from Operation: 2*18=36 Current State: 95:[59, 36], Operations: ['76-58=18', '2*18=36'] Exploring Operation: 59+36=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 47, 35, 14, 10 ]
86
[ "47+35=82", "14-10=4", "82+4=86" ]
Current State: 86:[47, 35, 14, 10], Operations: [] Exploring Operation: 47+35=82, Resulting Numbers: [14, 10, 82] Generated Node #2: [14, 10, 82] from Operation: 47+35=82 Current State: 86:[14, 10, 82], Operations: ['47+35=82'] Exploring Operation: 14-10=4, Resulting Numbers: [82, 4] Generated Node #3: [82, 4] from Operation: 14-10=4 Current State: 86:[82, 4], Operations: ['47+35=82', '14-10=4'] Exploring Operation: 82+4=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 8, 87, 96, 2 ]
13
[ "8/2=4", "96-87=9", "4+9=13" ]
Current State: 13:[8, 87, 96, 2], Operations: [] Exploring Operation: 8/2=4, Resulting Numbers: [87, 96, 4] Generated Node #2: [87, 96, 4] from Operation: 8/2=4 Current State: 13:[87, 96, 4], Operations: ['8/2=4'] Exploring Operation: 96-87=9, Resulting Numbers: [4, 9] Generated Node #3: [4, 9] from Operation: 96-87=9 Current State: 13:[4, 9], Operations: ['8/2=4', '96-87=9'] Exploring Operation: 4+9=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 91, 13, 7, 32 ]
53
[ "91-13=78", "32-7=25", "78-25=53" ]
Current State: 53:[91, 13, 7, 32], Operations: [] Exploring Operation: 91-13=78, Resulting Numbers: [7, 32, 78] Generated Node #2: [7, 32, 78] from Operation: 91-13=78 Current State: 53:[7, 32, 78], Operations: ['91-13=78'] Exploring Operation: 32-7=25, Resulting Numbers: [78, 25] Generated Node #3: [78, 25] from Operation: 32-7=25 Current State: 53:[78, 25], Operations: ['91-13=78', '32-7=25'] Exploring Operation: 78-25=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 8, 2, 46, 64 ]
14
[ "8/2=4", "64-46=18", "18-4=14" ]
Current State: 14:[8, 2, 46, 64], Operations: [] Exploring Operation: 8/2=4, Resulting Numbers: [46, 64, 4] Generated Node #2: [46, 64, 4] from Operation: 8/2=4 Current State: 14:[46, 64, 4], Operations: ['8/2=4'] Exploring Operation: 64-46=18, Resulting Numbers: [4, 18] Generated Node #3: [4, 18] from Operation: 64-46=18 Current State: 14:[4, 18], Operations: ['8/2=4', '64-46=18'] Exploring Operation: 18-4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 22, 9, 16, 10 ]
96
[ "22-16=6", "9*10=90", "6+90=96" ]
Current State: 96:[22, 9, 16, 10], Operations: [] Exploring Operation: 22-16=6, Resulting Numbers: [9, 10, 6] Generated Node #2: [9, 10, 6] from Operation: 22-16=6 Current State: 96:[9, 10, 6], Operations: ['22-16=6'] Exploring Operation: 9*10=90, Resulting Numbers: [6, 90] Generated Node #3: [6, 90] from Operation: 9*10=90 Current State: 96:[6, 90], Operations: ['22-16=6', '9*10=90'] Exploring Operation: 6+90=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 44, 39, 11, 56 ]
53
[ "44/11=4", "56/4=14", "39+14=53" ]
Current State: 53:[44, 39, 11, 56], Operations: [] Exploring Operation: 44/11=4, Resulting Numbers: [39, 56, 4] Generated Node #2: [39, 56, 4] from Operation: 44/11=4 Current State: 53:[39, 56, 4], Operations: ['44/11=4'] Exploring Operation: 56/4=14, Resulting Numbers: [39, 14] Generated Node #3: [39, 14] from Operation: 56/4=14 Current State: 53:[39, 14], Operations: ['44/11=4', '56/4=14'] Exploring Operation: 39+14=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 64, 20, 53, 10 ]
90
[ "64-20=44", "53-44=9", "10*9=90" ]
Current State: 90:[64, 20, 53, 10], Operations: [] Exploring Operation: 64-20=44, Resulting Numbers: [53, 10, 44] Generated Node #2: [53, 10, 44] from Operation: 64-20=44 Current State: 90:[53, 10, 44], Operations: ['64-20=44'] Exploring Operation: 53-44=9, Resulting Numbers: [10, 9] Generated Node #3: [10, 9] from Operation: 53-44=9 Current State: 90:[10, 9], Operations: ['64-20=44', '53-44=9'] Exploring Operation: 10*9=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 57, 68, 90, 63 ]
98
[ "57+68=125", "90-63=27", "125-27=98" ]
Current State: 98:[57, 68, 90, 63], Operations: [] Exploring Operation: 57+68=125, Resulting Numbers: [90, 63, 125] Generated Node #2: [90, 63, 125] from Operation: 57+68=125 Current State: 98:[90, 63, 125], Operations: ['57+68=125'] Exploring Operation: 90-63=27, Resulting Numbers: [125, 27] Generated Node #3: [125, 27] from Operation: 90-63=27 Current State: 98:[125, 27], Operations: ['57+68=125', '90-63=27'] Exploring Operation: 125-27=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 23, 55, 64, 72 ]
70
[ "23+55=78", "72-64=8", "78-8=70" ]
Current State: 70:[23, 55, 64, 72], Operations: [] Exploring Operation: 23+55=78, Resulting Numbers: [64, 72, 78] Generated Node #2: [64, 72, 78] from Operation: 23+55=78 Current State: 70:[64, 72, 78], Operations: ['23+55=78'] Exploring Operation: 72-64=8, Resulting Numbers: [78, 8] Generated Node #3: [78, 8] from Operation: 72-64=8 Current State: 70:[78, 8], Operations: ['23+55=78', '72-64=8'] Exploring Operation: 78-8=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 12, 53, 44, 9 ]
12
[ "12+53=65", "44+9=53", "65-53=12" ]
Current State: 12:[12, 53, 44, 9], Operations: [] Exploring Operation: 12+53=65, Resulting Numbers: [44, 9, 65] Generated Node #2: [44, 9, 65] from Operation: 12+53=65 Current State: 12:[44, 9, 65], Operations: ['12+53=65'] Exploring Operation: 44+9=53, Resulting Numbers: [65, 53] Generated Node #3: [65, 53] from Operation: 44+9=53 Current State: 12:[65, 53], Operations: ['12+53=65', '44+9=53'] Exploring Operation: 65-53=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 89, 53, 76, 17 ]
78
[ "89+17=106", "106/53=2", "76+2=78" ]
Current State: 78:[89, 53, 76, 17], Operations: [] Exploring Operation: 89+17=106, Resulting Numbers: [53, 76, 106] Generated Node #2: [53, 76, 106] from Operation: 89+17=106 Current State: 78:[53, 76, 106], Operations: ['89+17=106'] Exploring Operation: 106/53=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 106/53=2 Current State: 78:[76, 2], Operations: ['89+17=106', '106/53=2'] Exploring Operation: 76+2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 50, 61, 2, 16 ]
38
[ "61-50=11", "2*11=22", "16+22=38" ]
Current State: 38:[50, 61, 2, 16], Operations: [] Exploring Operation: 61-50=11, Resulting Numbers: [2, 16, 11] Generated Node #2: [2, 16, 11] from Operation: 61-50=11 Current State: 38:[2, 16, 11], Operations: ['61-50=11'] Exploring Operation: 2*11=22, Resulting Numbers: [16, 22] Generated Node #3: [16, 22] from Operation: 2*11=22 Current State: 38:[16, 22], Operations: ['61-50=11', '2*11=22'] Exploring Operation: 16+22=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 14, 33, 36, 34 ]
52
[ "36-34=2", "33*2=66", "66-14=52" ]
Current State: 52:[14, 33, 36, 34], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [14, 33, 2] Generated Node #2: [14, 33, 2] from Operation: 36-34=2 Current State: 52:[14, 33, 2], Operations: ['36-34=2'] Exploring Operation: 33*2=66, Resulting Numbers: [14, 66] Generated Node #3: [14, 66] from Operation: 33*2=66 Current State: 52:[14, 66], Operations: ['36-34=2', '33*2=66'] Exploring Operation: 66-14=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 11, 11, 4, 74 ]
79
[ "11/11=1", "4+74=78", "1+78=79" ]
Current State: 79:[11, 11, 4, 74], Operations: [] Exploring Operation: 11/11=1, Resulting Numbers: [4, 74, 1] Generated Node #2: [4, 74, 1] from Operation: 11/11=1 Current State: 79:[4, 74, 1], Operations: ['11/11=1'] Exploring Operation: 4+74=78, Resulting Numbers: [1, 78] Generated Node #3: [1, 78] from Operation: 4+74=78 Current State: 79:[1, 78], Operations: ['11/11=1', '4+74=78'] Exploring Operation: 1+78=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 77, 75, 41, 52 ]
59
[ "77+75=152", "41+52=93", "152-93=59" ]
Current State: 59:[77, 75, 41, 52], Operations: [] Exploring Operation: 77+75=152, Resulting Numbers: [41, 52, 152] Generated Node #2: [41, 52, 152] from Operation: 77+75=152 Current State: 59:[41, 52, 152], Operations: ['77+75=152'] Exploring Operation: 41+52=93, Resulting Numbers: [152, 93] Generated Node #3: [152, 93] from Operation: 41+52=93 Current State: 59:[152, 93], Operations: ['77+75=152', '41+52=93'] Exploring Operation: 152-93=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 7, 86, 32, 73 ]
59
[ "86-73=13", "7*13=91", "91-32=59" ]
Current State: 59:[7, 86, 32, 73], Operations: [] Exploring Operation: 86-73=13, Resulting Numbers: [7, 32, 13] Generated Node #2: [7, 32, 13] from Operation: 86-73=13 Current State: 59:[7, 32, 13], Operations: ['86-73=13'] Exploring Operation: 7*13=91, Resulting Numbers: [32, 91] Generated Node #3: [32, 91] from Operation: 7*13=91 Current State: 59:[32, 91], Operations: ['86-73=13', '7*13=91'] Exploring Operation: 91-32=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 10, 33, 7, 46 ]
21
[ "10+33=43", "46-43=3", "7*3=21" ]
Current State: 21:[10, 33, 7, 46], Operations: [] Exploring Operation: 10+33=43, Resulting Numbers: [7, 46, 43] Generated Node #2: [7, 46, 43] from Operation: 10+33=43 Current State: 21:[7, 46, 43], Operations: ['10+33=43'] Exploring Operation: 46-43=3, Resulting Numbers: [7, 3] Generated Node #3: [7, 3] from Operation: 46-43=3 Current State: 21:[7, 3], Operations: ['10+33=43', '46-43=3'] Exploring Operation: 7*3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 66, 57, 99, 37 ]
48
[ "66-57=9", "99/9=11", "37+11=48" ]
Current State: 48:[66, 57, 99, 37], Operations: [] Exploring Operation: 66-57=9, Resulting Numbers: [99, 37, 9] Generated Node #2: [99, 37, 9] from Operation: 66-57=9 Current State: 48:[99, 37, 9], Operations: ['66-57=9'] Exploring Operation: 99/9=11, Resulting Numbers: [37, 11] Generated Node #3: [37, 11] from Operation: 99/9=11 Current State: 48:[37, 11], Operations: ['66-57=9', '99/9=11'] Exploring Operation: 37+11=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 78, 91, 75, 78 ]
75
[ "78-78=0", "91*0=0", "75+0=75" ]
Current State: 75:[78, 91, 75, 78], Operations: [] Exploring Operation: 78-78=0, Resulting Numbers: [91, 75, 0] Generated Node #2: [91, 75, 0] from Operation: 78-78=0 Current State: 75:[91, 75, 0], Operations: ['78-78=0'] Exploring Operation: 91*0=0, Resulting Numbers: [75, 0] Generated Node #3: [75, 0] from Operation: 91*0=0 Current State: 75:[75, 0], Operations: ['78-78=0', '91*0=0'] Exploring Operation: 75+0=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 45, 55, 18, 68 ]
60
[ "55-45=10", "68-18=50", "10+50=60" ]
Current State: 60:[45, 55, 18, 68], Operations: [] Exploring Operation: 55-45=10, Resulting Numbers: [18, 68, 10] Generated Node #2: [18, 68, 10] from Operation: 55-45=10 Current State: 60:[18, 68, 10], Operations: ['55-45=10'] Exploring Operation: 68-18=50, Resulting Numbers: [10, 50] Generated Node #3: [10, 50] from Operation: 68-18=50 Current State: 60:[10, 50], Operations: ['55-45=10', '68-18=50'] Exploring Operation: 10+50=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 10, 33, 13, 53 ]
89
[ "33-10=23", "13+53=66", "23+66=89" ]
Current State: 89:[10, 33, 13, 53], Operations: [] Exploring Operation: 33-10=23, Resulting Numbers: [13, 53, 23] Generated Node #2: [13, 53, 23] from Operation: 33-10=23 Current State: 89:[13, 53, 23], Operations: ['33-10=23'] Exploring Operation: 13+53=66, Resulting Numbers: [23, 66] Generated Node #3: [23, 66] from Operation: 13+53=66 Current State: 89:[23, 66], Operations: ['33-10=23', '13+53=66'] Exploring Operation: 23+66=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 64, 1, 44, 84 ]
63
[ "64+1=65", "44+84=128", "128-65=63" ]
Current State: 63:[64, 1, 44, 84], Operations: [] Exploring Operation: 64+1=65, Resulting Numbers: [44, 84, 65] Generated Node #2: [44, 84, 65] from Operation: 64+1=65 Current State: 63:[44, 84, 65], Operations: ['64+1=65'] Exploring Operation: 44+84=128, Resulting Numbers: [65, 128] Generated Node #3: [65, 128] from Operation: 44+84=128 Current State: 63:[65, 128], Operations: ['64+1=65', '44+84=128'] Exploring Operation: 128-65=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 9, 87, 75, 58 ]
81
[ "9*58=522", "522/87=6", "75+6=81" ]
Current State: 81:[9, 87, 75, 58], Operations: [] Exploring Operation: 9*58=522, Resulting Numbers: [87, 75, 522] Generated Node #2: [87, 75, 522] from Operation: 9*58=522 Current State: 81:[87, 75, 522], Operations: ['9*58=522'] Exploring Operation: 522/87=6, Resulting Numbers: [75, 6] Generated Node #3: [75, 6] from Operation: 522/87=6 Current State: 81:[75, 6], Operations: ['9*58=522', '522/87=6'] Exploring Operation: 75+6=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 51, 47, 2, 4 ]
100
[ "51+47=98", "4-2=2", "98+2=100" ]
Current State: 100:[51, 47, 2, 4], Operations: [] Exploring Operation: 51+47=98, Resulting Numbers: [2, 4, 98] Generated Node #2: [2, 4, 98] from Operation: 51+47=98 Current State: 100:[2, 4, 98], Operations: ['51+47=98'] Exploring Operation: 4-2=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 4-2=2 Current State: 100:[98, 2], Operations: ['51+47=98', '4-2=2'] Exploring Operation: 98+2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 59, 91, 45, 56 ]
95
[ "59-45=14", "56/14=4", "91+4=95" ]
Current State: 95:[59, 91, 45, 56], Operations: [] Exploring Operation: 59-45=14, Resulting Numbers: [91, 56, 14] Generated Node #2: [91, 56, 14] from Operation: 59-45=14 Current State: 95:[91, 56, 14], Operations: ['59-45=14'] Exploring Operation: 56/14=4, Resulting Numbers: [91, 4] Generated Node #3: [91, 4] from Operation: 56/14=4 Current State: 95:[91, 4], Operations: ['59-45=14', '56/14=4'] Exploring Operation: 91+4=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 8, 28, 11, 99 ]
15
[ "11-8=3", "28*3=84", "99-84=15" ]
Current State: 15:[8, 28, 11, 99], Operations: [] Exploring Operation: 11-8=3, Resulting Numbers: [28, 99, 3] Generated Node #2: [28, 99, 3] from Operation: 11-8=3 Current State: 15:[28, 99, 3], Operations: ['11-8=3'] Exploring Operation: 28*3=84, Resulting Numbers: [99, 84] Generated Node #3: [99, 84] from Operation: 28*3=84 Current State: 15:[99, 84], Operations: ['11-8=3', '28*3=84'] Exploring Operation: 99-84=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 79, 36, 86, 48 ]
96
[ "79-36=43", "86*48=4128", "4128/43=96" ]
Current State: 96:[79, 36, 86, 48], Operations: [] Exploring Operation: 79-36=43, Resulting Numbers: [86, 48, 43] Generated Node #2: [86, 48, 43] from Operation: 79-36=43 Current State: 96:[86, 48, 43], Operations: ['79-36=43'] Exploring Operation: 86*48=4128, Resulting Numbers: [43, 4128] Generated Node #3: [43, 4128] from Operation: 86*48=4128 Current State: 96:[43, 4128], Operations: ['79-36=43', '86*48=4128'] Exploring Operation: 4128/43=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 54, 96, 16, 90 ]
69
[ "96/16=6", "90/6=15", "54+15=69" ]
Current State: 69:[54, 96, 16, 90], Operations: [] Exploring Operation: 96/16=6, Resulting Numbers: [54, 90, 6] Generated Node #2: [54, 90, 6] from Operation: 96/16=6 Current State: 69:[54, 90, 6], Operations: ['96/16=6'] Exploring Operation: 90/6=15, Resulting Numbers: [54, 15] Generated Node #3: [54, 15] from Operation: 90/6=15 Current State: 69:[54, 15], Operations: ['96/16=6', '90/6=15'] Exploring Operation: 54+15=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 16, 58, 5, 52 ]
46
[ "58-52=6", "5*6=30", "16+30=46" ]
Current State: 46:[16, 58, 5, 52], Operations: [] Exploring Operation: 58-52=6, Resulting Numbers: [16, 5, 6] Generated Node #2: [16, 5, 6] from Operation: 58-52=6 Current State: 46:[16, 5, 6], Operations: ['58-52=6'] Exploring Operation: 5*6=30, Resulting Numbers: [16, 30] Generated Node #3: [16, 30] from Operation: 5*6=30 Current State: 46:[16, 30], Operations: ['58-52=6', '5*6=30'] Exploring Operation: 16+30=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 34, 28, 48, 84 ]
14
[ "34+48=82", "84-82=2", "28/2=14" ]
Current State: 14:[34, 28, 48, 84], Operations: [] Exploring Operation: 34+48=82, Resulting Numbers: [28, 84, 82] Generated Node #2: [28, 84, 82] from Operation: 34+48=82 Current State: 14:[28, 84, 82], Operations: ['34+48=82'] Exploring Operation: 84-82=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 84-82=2 Current State: 14:[28, 2], Operations: ['34+48=82', '84-82=2'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 63, 94, 24, 98 ]
91
[ "94-63=31", "24+98=122", "122-31=91" ]
Current State: 91:[63, 94, 24, 98], Operations: [] Exploring Operation: 94-63=31, Resulting Numbers: [24, 98, 31] Generated Node #2: [24, 98, 31] from Operation: 94-63=31 Current State: 91:[24, 98, 31], Operations: ['94-63=31'] Exploring Operation: 24+98=122, Resulting Numbers: [31, 122] Generated Node #3: [31, 122] from Operation: 24+98=122 Current State: 91:[31, 122], Operations: ['94-63=31', '24+98=122'] Exploring Operation: 122-31=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 11, 9, 63, 4 ]
38
[ "11+63=74", "9*4=36", "74-36=38" ]
Current State: 38:[11, 9, 63, 4], Operations: [] Exploring Operation: 11+63=74, Resulting Numbers: [9, 4, 74] Generated Node #2: [9, 4, 74] from Operation: 11+63=74 Current State: 38:[9, 4, 74], Operations: ['11+63=74'] Exploring Operation: 9*4=36, Resulting Numbers: [74, 36] Generated Node #3: [74, 36] from Operation: 9*4=36 Current State: 38:[74, 36], Operations: ['11+63=74', '9*4=36'] Exploring Operation: 74-36=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 79, 72, 51, 2 ]
98
[ "79+72=151", "51+2=53", "151-53=98" ]
Current State: 98:[79, 72, 51, 2], Operations: [] Exploring Operation: 79+72=151, Resulting Numbers: [51, 2, 151] Generated Node #2: [51, 2, 151] from Operation: 79+72=151 Current State: 98:[51, 2, 151], Operations: ['79+72=151'] Exploring Operation: 51+2=53, Resulting Numbers: [151, 53] Generated Node #3: [151, 53] from Operation: 51+2=53 Current State: 98:[151, 53], Operations: ['79+72=151', '51+2=53'] Exploring Operation: 151-53=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 37, 15, 83, 89 ]
46
[ "37+15=52", "89-83=6", "52-6=46" ]
Current State: 46:[37, 15, 83, 89], Operations: [] Exploring Operation: 37+15=52, Resulting Numbers: [83, 89, 52] Generated Node #2: [83, 89, 52] from Operation: 37+15=52 Current State: 46:[83, 89, 52], Operations: ['37+15=52'] Exploring Operation: 89-83=6, Resulting Numbers: [52, 6] Generated Node #3: [52, 6] from Operation: 89-83=6 Current State: 46:[52, 6], Operations: ['37+15=52', '89-83=6'] Exploring Operation: 52-6=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 18, 6, 91, 42 ]
59
[ "18*6=108", "91-42=49", "108-49=59" ]
Current State: 59:[18, 6, 91, 42], Operations: [] Exploring Operation: 18*6=108, Resulting Numbers: [91, 42, 108] Generated Node #2: [91, 42, 108] from Operation: 18*6=108 Current State: 59:[91, 42, 108], Operations: ['18*6=108'] Exploring Operation: 91-42=49, Resulting Numbers: [108, 49] Generated Node #3: [108, 49] from Operation: 91-42=49 Current State: 59:[108, 49], Operations: ['18*6=108', '91-42=49'] Exploring Operation: 108-49=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 3, 87, 73, 98 ]
59
[ "87-3=84", "98-73=25", "84-25=59" ]
Current State: 59:[3, 87, 73, 98], Operations: [] Exploring Operation: 87-3=84, Resulting Numbers: [73, 98, 84] Generated Node #2: [73, 98, 84] from Operation: 87-3=84 Current State: 59:[73, 98, 84], Operations: ['87-3=84'] Exploring Operation: 98-73=25, Resulting Numbers: [84, 25] Generated Node #3: [84, 25] from Operation: 98-73=25 Current State: 59:[84, 25], Operations: ['87-3=84', '98-73=25'] Exploring Operation: 84-25=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 4, 65, 30, 52 ]
91
[ "4+65=69", "52-30=22", "69+22=91" ]
Current State: 91:[4, 65, 30, 52], Operations: [] Exploring Operation: 4+65=69, Resulting Numbers: [30, 52, 69] Generated Node #2: [30, 52, 69] from Operation: 4+65=69 Current State: 91:[30, 52, 69], Operations: ['4+65=69'] Exploring Operation: 52-30=22, Resulting Numbers: [69, 22] Generated Node #3: [69, 22] from Operation: 52-30=22 Current State: 91:[69, 22], Operations: ['4+65=69', '52-30=22'] Exploring Operation: 69+22=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 85, 80, 1, 17 ]
85
[ "85-80=5", "1*17=17", "5*17=85" ]
Current State: 85:[85, 80, 1, 17], Operations: [] Exploring Operation: 85-80=5, Resulting Numbers: [1, 17, 5] Generated Node #2: [1, 17, 5] from Operation: 85-80=5 Current State: 85:[1, 17, 5], Operations: ['85-80=5'] Exploring Operation: 1*17=17, Resulting Numbers: [5, 17] Generated Node #3: [5, 17] from Operation: 1*17=17 Current State: 85:[5, 17], Operations: ['85-80=5', '1*17=17'] Exploring Operation: 5*17=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 57, 74, 83, 34 ]
14
[ "57+74=131", "83+34=117", "131-117=14" ]
Current State: 14:[57, 74, 83, 34], Operations: [] Exploring Operation: 57+74=131, Resulting Numbers: [83, 34, 131] Generated Node #2: [83, 34, 131] from Operation: 57+74=131 Current State: 14:[83, 34, 131], Operations: ['57+74=131'] Exploring Operation: 83+34=117, Resulting Numbers: [131, 117] Generated Node #3: [131, 117] from Operation: 83+34=117 Current State: 14:[131, 117], Operations: ['57+74=131', '83+34=117'] Exploring Operation: 131-117=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 26, 63, 59, 22 ]
12
[ "26+22=48", "63-59=4", "48/4=12" ]
Current State: 12:[26, 63, 59, 22], Operations: [] Exploring Operation: 26+22=48, Resulting Numbers: [63, 59, 48] Generated Node #2: [63, 59, 48] from Operation: 26+22=48 Current State: 12:[63, 59, 48], Operations: ['26+22=48'] Exploring Operation: 63-59=4, Resulting Numbers: [48, 4] Generated Node #3: [48, 4] from Operation: 63-59=4 Current State: 12:[48, 4], Operations: ['26+22=48', '63-59=4'] Exploring Operation: 48/4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 26, 1, 66, 13 ]
22
[ "26/13=2", "1+2=3", "66/3=22" ]
Current State: 22:[26, 1, 66, 13], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [1, 66, 2] Generated Node #2: [1, 66, 2] from Operation: 26/13=2 Current State: 22:[1, 66, 2], Operations: ['26/13=2'] Exploring Operation: 1+2=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 1+2=3 Current State: 22:[66, 3], Operations: ['26/13=2', '1+2=3'] Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 59, 32, 9, 1 ]
10
[ "59+32=91", "91-1=90", "90/9=10" ]
Current State: 10:[59, 32, 9, 1], Operations: [] Exploring Operation: 59+32=91, Resulting Numbers: [9, 1, 91] Generated Node #2: [9, 1, 91] from Operation: 59+32=91 Current State: 10:[9, 1, 91], Operations: ['59+32=91'] Exploring Operation: 91-1=90, Resulting Numbers: [9, 90] Generated Node #3: [9, 90] from Operation: 91-1=90 Current State: 10:[9, 90], Operations: ['59+32=91', '91-1=90'] Exploring Operation: 90/9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 32, 29, 22, 61 ]
86
[ "32-29=3", "22+61=83", "3+83=86" ]
Current State: 86:[32, 29, 22, 61], Operations: [] Exploring Operation: 32-29=3, Resulting Numbers: [22, 61, 3] Generated Node #2: [22, 61, 3] from Operation: 32-29=3 Current State: 86:[22, 61, 3], Operations: ['32-29=3'] Exploring Operation: 22+61=83, Resulting Numbers: [3, 83] Generated Node #3: [3, 83] from Operation: 22+61=83 Current State: 86:[3, 83], Operations: ['32-29=3', '22+61=83'] Exploring Operation: 3+83=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 71, 70, 84, 40 ]
45
[ "71-70=1", "84-40=44", "1+44=45" ]
Current State: 45:[71, 70, 84, 40], Operations: [] Exploring Operation: 71-70=1, Resulting Numbers: [84, 40, 1] Generated Node #2: [84, 40, 1] from Operation: 71-70=1 Current State: 45:[84, 40, 1], Operations: ['71-70=1'] Exploring Operation: 84-40=44, Resulting Numbers: [1, 44] Generated Node #3: [1, 44] from Operation: 84-40=44 Current State: 45:[1, 44], Operations: ['71-70=1', '84-40=44'] Exploring Operation: 1+44=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 9, 63, 28, 90 ]
46
[ "9+63=72", "28+90=118", "118-72=46" ]
Current State: 46:[9, 63, 28, 90], Operations: [] Exploring Operation: 9+63=72, Resulting Numbers: [28, 90, 72] Generated Node #2: [28, 90, 72] from Operation: 9+63=72 Current State: 46:[28, 90, 72], Operations: ['9+63=72'] Exploring Operation: 28+90=118, Resulting Numbers: [72, 118] Generated Node #3: [72, 118] from Operation: 28+90=118 Current State: 46:[72, 118], Operations: ['9+63=72', '28+90=118'] Exploring Operation: 118-72=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 88, 56, 89, 79 ]
22
[ "88-56=32", "89-79=10", "32-10=22" ]
Current State: 22:[88, 56, 89, 79], Operations: [] Exploring Operation: 88-56=32, Resulting Numbers: [89, 79, 32] Generated Node #2: [89, 79, 32] from Operation: 88-56=32 Current State: 22:[89, 79, 32], Operations: ['88-56=32'] Exploring Operation: 89-79=10, Resulting Numbers: [32, 10] Generated Node #3: [32, 10] from Operation: 89-79=10 Current State: 22:[32, 10], Operations: ['88-56=32', '89-79=10'] Exploring Operation: 32-10=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 34, 7, 96, 94 ]
29
[ "34-7=27", "96-94=2", "27+2=29" ]
Current State: 29:[34, 7, 96, 94], Operations: [] Exploring Operation: 34-7=27, Resulting Numbers: [96, 94, 27] Generated Node #2: [96, 94, 27] from Operation: 34-7=27 Current State: 29:[96, 94, 27], Operations: ['34-7=27'] Exploring Operation: 96-94=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 96-94=2 Current State: 29:[27, 2], Operations: ['34-7=27', '96-94=2'] Exploring Operation: 27+2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 45, 21, 48, 64 ]
62
[ "45-21=24", "48/24=2", "64-2=62" ]
Current State: 62:[45, 21, 48, 64], Operations: [] Exploring Operation: 45-21=24, Resulting Numbers: [48, 64, 24] Generated Node #2: [48, 64, 24] from Operation: 45-21=24 Current State: 62:[48, 64, 24], Operations: ['45-21=24'] Exploring Operation: 48/24=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 48/24=2 Current State: 62:[64, 2], Operations: ['45-21=24', '48/24=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 1, 80, 36, 45 ]
90
[ "1+80=81", "45-36=9", "81+9=90" ]
Current State: 90:[1, 80, 36, 45], Operations: [] Exploring Operation: 1+80=81, Resulting Numbers: [36, 45, 81] Generated Node #2: [36, 45, 81] from Operation: 1+80=81 Current State: 90:[36, 45, 81], Operations: ['1+80=81'] Exploring Operation: 45-36=9, Resulting Numbers: [81, 9] Generated Node #3: [81, 9] from Operation: 45-36=9 Current State: 90:[81, 9], Operations: ['1+80=81', '45-36=9'] Exploring Operation: 81+9=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 30, 61, 13, 36 ]
18
[ "61-30=31", "13+36=49", "49-31=18" ]
Current State: 18:[30, 61, 13, 36], Operations: [] Exploring Operation: 61-30=31, Resulting Numbers: [13, 36, 31] Generated Node #2: [13, 36, 31] from Operation: 61-30=31 Current State: 18:[13, 36, 31], Operations: ['61-30=31'] Exploring Operation: 13+36=49, Resulting Numbers: [31, 49] Generated Node #3: [31, 49] from Operation: 13+36=49 Current State: 18:[31, 49], Operations: ['61-30=31', '13+36=49'] Exploring Operation: 49-31=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 43, 1, 26, 78 ]
61
[ "43*1=43", "26+78=104", "104-43=61" ]
Current State: 61:[43, 1, 26, 78], Operations: [] Exploring Operation: 43*1=43, Resulting Numbers: [26, 78, 43] Generated Node #2: [26, 78, 43] from Operation: 43*1=43 Current State: 61:[26, 78, 43], Operations: ['43*1=43'] Exploring Operation: 26+78=104, Resulting Numbers: [43, 104] Generated Node #3: [43, 104] from Operation: 26+78=104 Current State: 61:[43, 104], Operations: ['43*1=43', '26+78=104'] Exploring Operation: 104-43=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 94, 30, 3, 37 ]
47
[ "94-30=64", "3*37=111", "111-64=47" ]
Current State: 47:[94, 30, 3, 37], Operations: [] Exploring Operation: 94-30=64, Resulting Numbers: [3, 37, 64] Generated Node #2: [3, 37, 64] from Operation: 94-30=64 Current State: 47:[3, 37, 64], Operations: ['94-30=64'] Exploring Operation: 3*37=111, Resulting Numbers: [64, 111] Generated Node #3: [64, 111] from Operation: 3*37=111 Current State: 47:[64, 111], Operations: ['94-30=64', '3*37=111'] Exploring Operation: 111-64=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 10, 88, 73, 84 ]
18
[ "84-73=11", "88/11=8", "10+8=18" ]
Current State: 18:[10, 88, 73, 84], Operations: [] Exploring Operation: 84-73=11, Resulting Numbers: [10, 88, 11] Generated Node #2: [10, 88, 11] from Operation: 84-73=11 Current State: 18:[10, 88, 11], Operations: ['84-73=11'] Exploring Operation: 88/11=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 88/11=8 Current State: 18:[10, 8], Operations: ['84-73=11', '88/11=8'] Exploring Operation: 10+8=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 23, 90, 25, 61 ]
56
[ "90+25=115", "115/23=5", "61-5=56" ]
Current State: 56:[23, 90, 25, 61], Operations: [] Exploring Operation: 90+25=115, Resulting Numbers: [23, 61, 115] Generated Node #2: [23, 61, 115] from Operation: 90+25=115 Current State: 56:[23, 61, 115], Operations: ['90+25=115'] Exploring Operation: 115/23=5, Resulting Numbers: [61, 5] Generated Node #3: [61, 5] from Operation: 115/23=5 Current State: 56:[61, 5], Operations: ['90+25=115', '115/23=5'] Exploring Operation: 61-5=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 4, 20, 16, 70 ]
91
[ "20/4=5", "16+70=86", "5+86=91" ]
Current State: 91:[4, 20, 16, 70], Operations: [] Exploring Operation: 20/4=5, Resulting Numbers: [16, 70, 5] Generated Node #2: [16, 70, 5] from Operation: 20/4=5 Current State: 91:[16, 70, 5], Operations: ['20/4=5'] Exploring Operation: 16+70=86, Resulting Numbers: [5, 86] Generated Node #3: [5, 86] from Operation: 16+70=86 Current State: 91:[5, 86], Operations: ['20/4=5', '16+70=86'] Exploring Operation: 5+86=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 59, 86, 95, 12 ]
83
[ "95-59=36", "36/12=3", "86-3=83" ]
Current State: 83:[59, 86, 95, 12], Operations: [] Exploring Operation: 95-59=36, Resulting Numbers: [86, 12, 36] Generated Node #2: [86, 12, 36] from Operation: 95-59=36 Current State: 83:[86, 12, 36], Operations: ['95-59=36'] Exploring Operation: 36/12=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 36/12=3 Current State: 83:[86, 3], Operations: ['95-59=36', '36/12=3'] Exploring Operation: 86-3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 44, 71, 16, 53 ]
46
[ "44+71=115", "16+53=69", "115-69=46" ]
Current State: 46:[44, 71, 16, 53], Operations: [] Exploring Operation: 44+71=115, Resulting Numbers: [16, 53, 115] Generated Node #2: [16, 53, 115] from Operation: 44+71=115 Current State: 46:[16, 53, 115], Operations: ['44+71=115'] Exploring Operation: 16+53=69, Resulting Numbers: [115, 69] Generated Node #3: [115, 69] from Operation: 16+53=69 Current State: 46:[115, 69], Operations: ['44+71=115', '16+53=69'] Exploring Operation: 115-69=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 43, 72, 94, 34 ]
13
[ "43+72=115", "94+34=128", "128-115=13" ]
Current State: 13:[43, 72, 94, 34], Operations: [] Exploring Operation: 43+72=115, Resulting Numbers: [94, 34, 115] Generated Node #2: [94, 34, 115] from Operation: 43+72=115 Current State: 13:[94, 34, 115], Operations: ['43+72=115'] Exploring Operation: 94+34=128, Resulting Numbers: [115, 128] Generated Node #3: [115, 128] from Operation: 94+34=128 Current State: 13:[115, 128], Operations: ['43+72=115', '94+34=128'] Exploring Operation: 128-115=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 35, 54, 17, 37 ]
11
[ "17*37=629", "629-35=594", "594/54=11" ]
Current State: 11:[35, 54, 17, 37], Operations: [] Exploring Operation: 17*37=629, Resulting Numbers: [35, 54, 629] Generated Node #2: [35, 54, 629] from Operation: 17*37=629 Current State: 11:[35, 54, 629], Operations: ['17*37=629'] Exploring Operation: 629-35=594, Resulting Numbers: [54, 594] Generated Node #3: [54, 594] from Operation: 629-35=594 Current State: 11:[54, 594], Operations: ['17*37=629', '629-35=594'] Exploring Operation: 594/54=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 85, 90, 99, 5 ]
98
[ "90-85=5", "5/5=1", "99-1=98" ]
Current State: 98:[85, 90, 99, 5], Operations: [] Exploring Operation: 90-85=5, Resulting Numbers: [99, 5, 5] Generated Node #2: [99, 5, 5] from Operation: 90-85=5 Current State: 98:[99, 5, 5], Operations: ['90-85=5'] Exploring Operation: 5/5=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 5/5=1 Current State: 98:[99, 1], Operations: ['90-85=5', '5/5=1'] Exploring Operation: 99-1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 96, 61, 78, 70 ]
58
[ "96-70=26", "78/26=3", "61-3=58" ]
Current State: 58:[96, 61, 78, 70], Operations: [] Exploring Operation: 96-70=26, Resulting Numbers: [61, 78, 26] Generated Node #2: [61, 78, 26] from Operation: 96-70=26 Current State: 58:[61, 78, 26], Operations: ['96-70=26'] Exploring Operation: 78/26=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 78/26=3 Current State: 58:[61, 3], Operations: ['96-70=26', '78/26=3'] Exploring Operation: 61-3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 48, 32, 16, 3 ]
29
[ "48-32=16", "16-3=13", "16+13=29" ]
Current State: 29:[48, 32, 16, 3], Operations: [] Exploring Operation: 48-32=16, Resulting Numbers: [16, 3, 16] Generated Node #2: [16, 3, 16] from Operation: 48-32=16 Current State: 29:[16, 3, 16], Operations: ['48-32=16'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,29 equal: Goal Reached Exploring Operation: 16+13=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 29, 60, 12, 48 ]
67
[ "60-29=31", "48-12=36", "31+36=67" ]
Current State: 67:[29, 60, 12, 48], Operations: [] Exploring Operation: 60-29=31, Resulting Numbers: [12, 48, 31] Generated Node #2: [12, 48, 31] from Operation: 60-29=31 Current State: 67:[12, 48, 31], Operations: ['60-29=31'] Exploring Operation: 48-12=36, Resulting Numbers: [31, 36] Generated Node #3: [31, 36] from Operation: 48-12=36 Current State: 67:[31, 36], Operations: ['60-29=31', '48-12=36'] Exploring Operation: 31+36=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 15, 45, 14, 75 ]
30
[ "15-14=1", "75-45=30", "1*30=30" ]
Current State: 30:[15, 45, 14, 75], Operations: [] Exploring Operation: 15-14=1, Resulting Numbers: [45, 75, 1] Generated Node #2: [45, 75, 1] from Operation: 15-14=1 Current State: 30:[45, 75, 1], Operations: ['15-14=1'] Exploring Operation: 75-45=30, Resulting Numbers: [1, 30] Generated Node #3: [1, 30] from Operation: 75-45=30 Current State: 30:[1, 30], Operations: ['15-14=1', '75-45=30'] Exploring Operation: 1*30=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 75, 14, 93, 67 ]
87
[ "75-14=61", "93-67=26", "61+26=87" ]
Current State: 87:[75, 14, 93, 67], Operations: [] Exploring Operation: 75-14=61, Resulting Numbers: [93, 67, 61] Generated Node #2: [93, 67, 61] from Operation: 75-14=61 Current State: 87:[93, 67, 61], Operations: ['75-14=61'] Exploring Operation: 93-67=26, Resulting Numbers: [61, 26] Generated Node #3: [61, 26] from Operation: 93-67=26 Current State: 87:[61, 26], Operations: ['75-14=61', '93-67=26'] Exploring Operation: 61+26=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 73, 52, 97, 19 ]
47
[ "73+52=125", "97-19=78", "125-78=47" ]
Current State: 47:[73, 52, 97, 19], Operations: [] Exploring Operation: 73+52=125, Resulting Numbers: [97, 19, 125] Generated Node #2: [97, 19, 125] from Operation: 73+52=125 Current State: 47:[97, 19, 125], Operations: ['73+52=125'] Exploring Operation: 97-19=78, Resulting Numbers: [125, 78] Generated Node #3: [125, 78] from Operation: 97-19=78 Current State: 47:[125, 78], Operations: ['73+52=125', '97-19=78'] Exploring Operation: 125-78=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 24, 99, 6, 56 ]
25
[ "99-24=75", "56-6=50", "75-50=25" ]
Current State: 25:[24, 99, 6, 56], Operations: [] Exploring Operation: 99-24=75, Resulting Numbers: [6, 56, 75] Generated Node #2: [6, 56, 75] from Operation: 99-24=75 Current State: 25:[6, 56, 75], Operations: ['99-24=75'] Exploring Operation: 56-6=50, Resulting Numbers: [75, 50] Generated Node #3: [75, 50] from Operation: 56-6=50 Current State: 25:[75, 50], Operations: ['99-24=75', '56-6=50'] Exploring Operation: 75-50=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 32, 94, 88, 22 ]
60
[ "32+94=126", "88-22=66", "126-66=60" ]
Current State: 60:[32, 94, 88, 22], Operations: [] Exploring Operation: 32+94=126, Resulting Numbers: [88, 22, 126] Generated Node #2: [88, 22, 126] from Operation: 32+94=126 Current State: 60:[88, 22, 126], Operations: ['32+94=126'] Exploring Operation: 88-22=66, Resulting Numbers: [126, 66] Generated Node #3: [126, 66] from Operation: 88-22=66 Current State: 60:[126, 66], Operations: ['32+94=126', '88-22=66'] Exploring Operation: 126-66=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 21, 52, 4, 40 ]
69
[ "52-40=12", "4*12=48", "21+48=69" ]
Current State: 69:[21, 52, 4, 40], Operations: [] Exploring Operation: 52-40=12, Resulting Numbers: [21, 4, 12] Generated Node #2: [21, 4, 12] from Operation: 52-40=12 Current State: 69:[21, 4, 12], Operations: ['52-40=12'] Exploring Operation: 4*12=48, Resulting Numbers: [21, 48] Generated Node #3: [21, 48] from Operation: 4*12=48 Current State: 69:[21, 48], Operations: ['52-40=12', '4*12=48'] Exploring Operation: 21+48=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 69, 9, 3, 10 ]
22
[ "69/3=23", "10-9=1", "23-1=22" ]
Current State: 22:[69, 9, 3, 10], Operations: [] Exploring Operation: 69/3=23, Resulting Numbers: [9, 10, 23] Generated Node #2: [9, 10, 23] from Operation: 69/3=23 Current State: 22:[9, 10, 23], Operations: ['69/3=23'] Exploring Operation: 10-9=1, Resulting Numbers: [23, 1] Generated Node #3: [23, 1] from Operation: 10-9=1 Current State: 22:[23, 1], Operations: ['69/3=23', '10-9=1'] Exploring Operation: 23-1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 48, 88, 8, 27 ]
55
[ "48/8=6", "88-27=61", "61-6=55" ]
Current State: 55:[48, 88, 8, 27], Operations: [] Exploring Operation: 48/8=6, Resulting Numbers: [88, 27, 6] Generated Node #2: [88, 27, 6] from Operation: 48/8=6 Current State: 55:[88, 27, 6], Operations: ['48/8=6'] Exploring Operation: 88-27=61, Resulting Numbers: [6, 61] Generated Node #3: [6, 61] from Operation: 88-27=61 Current State: 55:[6, 61], Operations: ['48/8=6', '88-27=61'] Exploring Operation: 61-6=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 70, 52, 15, 1 ]
32
[ "70-52=18", "15-1=14", "18+14=32" ]
Current State: 32:[70, 52, 15, 1], Operations: [] Exploring Operation: 70-52=18, Resulting Numbers: [15, 1, 18] Generated Node #2: [15, 1, 18] from Operation: 70-52=18 Current State: 32:[15, 1, 18], Operations: ['70-52=18'] Exploring Operation: 15-1=14, Resulting Numbers: [18, 14] Generated Node #3: [18, 14] from Operation: 15-1=14 Current State: 32:[18, 14], Operations: ['70-52=18', '15-1=14'] Exploring Operation: 18+14=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 9, 39, 97, 21 ]
53
[ "9*21=189", "39+97=136", "189-136=53" ]
Current State: 53:[9, 39, 97, 21], Operations: [] Exploring Operation: 9*21=189, Resulting Numbers: [39, 97, 189] Generated Node #2: [39, 97, 189] from Operation: 9*21=189 Current State: 53:[39, 97, 189], Operations: ['9*21=189'] Exploring Operation: 39+97=136, Resulting Numbers: [189, 136] Generated Node #3: [189, 136] from Operation: 39+97=136 Current State: 53:[189, 136], Operations: ['9*21=189', '39+97=136'] Exploring Operation: 189-136=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 83, 47, 33, 21 ]
63
[ "83-47=36", "36-33=3", "21*3=63" ]
Current State: 63:[83, 47, 33, 21], Operations: [] Exploring Operation: 83-47=36, Resulting Numbers: [33, 21, 36] Generated Node #2: [33, 21, 36] from Operation: 83-47=36 Current State: 63:[33, 21, 36], Operations: ['83-47=36'] Exploring Operation: 36-33=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 36-33=3 Current State: 63:[21, 3], Operations: ['83-47=36', '36-33=3'] Exploring Operation: 21*3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 86, 79, 28, 85 ]
64
[ "86-79=7", "85-28=57", "7+57=64" ]
Current State: 64:[86, 79, 28, 85], Operations: [] Exploring Operation: 86-79=7, Resulting Numbers: [28, 85, 7] Generated Node #2: [28, 85, 7] from Operation: 86-79=7 Current State: 64:[28, 85, 7], Operations: ['86-79=7'] Exploring Operation: 85-28=57, Resulting Numbers: [7, 57] Generated Node #3: [7, 57] from Operation: 85-28=57 Current State: 64:[7, 57], Operations: ['86-79=7', '85-28=57'] Exploring Operation: 7+57=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 86, 17, 28, 63 ]
85
[ "86-28=58", "63-58=5", "17*5=85" ]
Current State: 85:[86, 17, 28, 63], Operations: [] Exploring Operation: 86-28=58, Resulting Numbers: [17, 63, 58] Generated Node #2: [17, 63, 58] from Operation: 86-28=58 Current State: 85:[17, 63, 58], Operations: ['86-28=58'] Exploring Operation: 63-58=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 63-58=5 Current State: 85:[17, 5], Operations: ['86-28=58', '63-58=5'] Exploring Operation: 17*5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 52, 88, 64, 4 ]
96
[ "88-52=36", "64-4=60", "36+60=96" ]
Current State: 96:[52, 88, 64, 4], Operations: [] Exploring Operation: 88-52=36, Resulting Numbers: [64, 4, 36] Generated Node #2: [64, 4, 36] from Operation: 88-52=36 Current State: 96:[64, 4, 36], Operations: ['88-52=36'] Exploring Operation: 64-4=60, Resulting Numbers: [36, 60] Generated Node #3: [36, 60] from Operation: 64-4=60 Current State: 96:[36, 60], Operations: ['88-52=36', '64-4=60'] Exploring Operation: 36+60=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 45, 40, 90, 93 ]
88
[ "45+40=85", "93-90=3", "85+3=88" ]
Current State: 88:[45, 40, 90, 93], Operations: [] Exploring Operation: 45+40=85, Resulting Numbers: [90, 93, 85] Generated Node #2: [90, 93, 85] from Operation: 45+40=85 Current State: 88:[90, 93, 85], Operations: ['45+40=85'] Exploring Operation: 93-90=3, Resulting Numbers: [85, 3] Generated Node #3: [85, 3] from Operation: 93-90=3 Current State: 88:[85, 3], Operations: ['45+40=85', '93-90=3'] Exploring Operation: 85+3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 70, 35, 87, 69 ]
20
[ "70/35=2", "87-69=18", "2+18=20" ]
Current State: 20:[70, 35, 87, 69], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [87, 69, 2] Generated Node #2: [87, 69, 2] from Operation: 70/35=2 Current State: 20:[87, 69, 2], Operations: ['70/35=2'] Exploring Operation: 87-69=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 87-69=18 Current State: 20:[2, 18], Operations: ['70/35=2', '87-69=18'] Exploring Operation: 2+18=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 27, 92, 65, 83 ]
29
[ "27+92=119", "65+83=148", "148-119=29" ]
Current State: 29:[27, 92, 65, 83], Operations: [] Exploring Operation: 27+92=119, Resulting Numbers: [65, 83, 119] Generated Node #2: [65, 83, 119] from Operation: 27+92=119 Current State: 29:[65, 83, 119], Operations: ['27+92=119'] Exploring Operation: 65+83=148, Resulting Numbers: [119, 148] Generated Node #3: [119, 148] from Operation: 65+83=148 Current State: 29:[119, 148], Operations: ['27+92=119', '65+83=148'] Exploring Operation: 148-119=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 45, 92, 55, 59 ]
23
[ "45+92=137", "55+59=114", "137-114=23" ]
Current State: 23:[45, 92, 55, 59], Operations: [] Exploring Operation: 45+92=137, Resulting Numbers: [55, 59, 137] Generated Node #2: [55, 59, 137] from Operation: 45+92=137 Current State: 23:[55, 59, 137], Operations: ['45+92=137'] Exploring Operation: 55+59=114, Resulting Numbers: [137, 114] Generated Node #3: [137, 114] from Operation: 55+59=114 Current State: 23:[137, 114], Operations: ['45+92=137', '55+59=114'] Exploring Operation: 137-114=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 47, 92, 21, 46 ]
24
[ "47-21=26", "92/46=2", "26-2=24" ]
Current State: 24:[47, 92, 21, 46], Operations: [] Exploring Operation: 47-21=26, Resulting Numbers: [92, 46, 26] Generated Node #2: [92, 46, 26] from Operation: 47-21=26 Current State: 24:[92, 46, 26], Operations: ['47-21=26'] Exploring Operation: 92/46=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 92/46=2 Current State: 24:[26, 2], Operations: ['47-21=26', '92/46=2'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 10, 17, 8, 35 ]
35
[ "17-10=7", "8-7=1", "35*1=35" ]
Current State: 35:[10, 17, 8, 35], Operations: [] Exploring Operation: 17-10=7, Resulting Numbers: [8, 35, 7] Generated Node #2: [8, 35, 7] from Operation: 17-10=7 Current State: 35:[8, 35, 7], Operations: ['17-10=7'] Exploring Operation: 8-7=1, Resulting Numbers: [35, 1] Generated Node #3: [35, 1] from Operation: 8-7=1 Current State: 35:[35, 1], Operations: ['17-10=7', '8-7=1'] Exploring Operation: 35*1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 91, 5, 77, 38 ]
14
[ "91*5=455", "77+455=532", "532/38=14" ]
Current State: 14:[91, 5, 77, 38], Operations: [] Exploring Operation: 91*5=455, Resulting Numbers: [77, 38, 455] Generated Node #2: [77, 38, 455] from Operation: 91*5=455 Current State: 14:[77, 38, 455], Operations: ['91*5=455'] Exploring Operation: 77+455=532, Resulting Numbers: [38, 532] Generated Node #3: [38, 532] from Operation: 77+455=532 Current State: 14:[38, 532], Operations: ['91*5=455', '77+455=532'] Exploring Operation: 532/38=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 30, 6, 81, 34 ]
83
[ "30+6=36", "81-34=47", "36+47=83" ]
Current State: 83:[30, 6, 81, 34], Operations: [] Exploring Operation: 30+6=36, Resulting Numbers: [81, 34, 36] Generated Node #2: [81, 34, 36] from Operation: 30+6=36 Current State: 83:[81, 34, 36], Operations: ['30+6=36'] Exploring Operation: 81-34=47, Resulting Numbers: [36, 47] Generated Node #3: [36, 47] from Operation: 81-34=47 Current State: 83:[36, 47], Operations: ['30+6=36', '81-34=47'] Exploring Operation: 36+47=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 24, 68, 1, 59 ]
16
[ "68-24=44", "1+59=60", "60-44=16" ]
Current State: 16:[24, 68, 1, 59], Operations: [] Exploring Operation: 68-24=44, Resulting Numbers: [1, 59, 44] Generated Node #2: [1, 59, 44] from Operation: 68-24=44 Current State: 16:[1, 59, 44], Operations: ['68-24=44'] Exploring Operation: 1+59=60, Resulting Numbers: [44, 60] Generated Node #3: [44, 60] from Operation: 1+59=60 Current State: 16:[44, 60], Operations: ['68-24=44', '1+59=60'] Exploring Operation: 60-44=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 9, 37, 77, 29 ]
77
[ "37-9=28", "29-28=1", "77*1=77" ]
Current State: 77:[9, 37, 77, 29], Operations: [] Exploring Operation: 37-9=28, Resulting Numbers: [77, 29, 28] Generated Node #2: [77, 29, 28] from Operation: 37-9=28 Current State: 77:[77, 29, 28], Operations: ['37-9=28'] Exploring Operation: 29-28=1, Resulting Numbers: [77, 1] Generated Node #3: [77, 1] from Operation: 29-28=1 Current State: 77:[77, 1], Operations: ['37-9=28', '29-28=1'] Exploring Operation: 77*1=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 76, 5, 1, 43 ]
58
[ "76-1=75", "75/5=15", "43+15=58" ]
Current State: 58:[76, 5, 1, 43], Operations: [] Exploring Operation: 76-1=75, Resulting Numbers: [5, 43, 75] Generated Node #2: [5, 43, 75] from Operation: 76-1=75 Current State: 58:[5, 43, 75], Operations: ['76-1=75'] Exploring Operation: 75/5=15, Resulting Numbers: [43, 15] Generated Node #3: [43, 15] from Operation: 75/5=15 Current State: 58:[43, 15], Operations: ['76-1=75', '75/5=15'] Exploring Operation: 43+15=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 91, 88, 7, 74 ]
70
[ "91-88=3", "74-7=67", "3+67=70" ]
Current State: 70:[91, 88, 7, 74], Operations: [] Exploring Operation: 91-88=3, Resulting Numbers: [7, 74, 3] Generated Node #2: [7, 74, 3] from Operation: 91-88=3 Current State: 70:[7, 74, 3], Operations: ['91-88=3'] Exploring Operation: 74-7=67, Resulting Numbers: [3, 67] Generated Node #3: [3, 67] from Operation: 74-7=67 Current State: 70:[3, 67], Operations: ['91-88=3', '74-7=67'] Exploring Operation: 3+67=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 42, 31, 10, 45 ]
63
[ "45-42=3", "31-10=21", "3*21=63" ]
Current State: 63:[42, 31, 10, 45], Operations: [] Exploring Operation: 45-42=3, Resulting Numbers: [31, 10, 3] Generated Node #2: [31, 10, 3] from Operation: 45-42=3 Current State: 63:[31, 10, 3], Operations: ['45-42=3'] Exploring Operation: 31-10=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 31-10=21 Current State: 63:[3, 21], Operations: ['45-42=3', '31-10=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4