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
[ 50, 45, 54, 12 ]
60
[ "45*12=540", "540/54=10", "50+10=60" ]
Current State: 60:[50, 45, 54, 12], Operations: [] Exploring Operation: 45*12=540, Resulting Numbers: [50, 54, 540] Generated Node #2: [50, 54, 540] from Operation: 45*12=540 Current State: 60:[50, 54, 540], Operations: ['45*12=540'] Exploring Operation: 540/54=10, Resulting Numbers: [50, 10] Generated Node #3: [50, 10] from Operation: 540/54=10 Current State: 60:[50, 10], Operations: ['45*12=540', '540/54=10'] Exploring Operation: 50+10=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 42, 54, 15, 69 ]
71
[ "42-15=27", "54/27=2", "69+2=71" ]
Current State: 71:[42, 54, 15, 69], Operations: [] Exploring Operation: 42-15=27, Resulting Numbers: [54, 69, 27] Generated Node #2: [54, 69, 27] from Operation: 42-15=27 Current State: 71:[54, 69, 27], Operations: ['42-15=27'] Exploring Operation: 54/27=2, Resulting Numbers: [69, 2] Generated Node #3: [69, 2] from Operation: 54/27=2 Current State: 71:[69, 2], Operations: ['42-15=27', '54/27=2'] Exploring Operation: 69+2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 15, 38, 68, 40 ]
85
[ "38-15=23", "68+40=108", "108-23=85" ]
Current State: 85:[15, 38, 68, 40], Operations: [] Exploring Operation: 38-15=23, Resulting Numbers: [68, 40, 23] Generated Node #2: [68, 40, 23] from Operation: 38-15=23 Current State: 85:[68, 40, 23], Operations: ['38-15=23'] Exploring Operation: 68+40=108, Resulting Numbers: [23, 108] Generated Node #3: [23, 108] from Operation: 68+40=108 Current State: 85:[23, 108], Operations: ['38-15=23', '68+40=108'] Exploring Operation: 108-23=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 78, 2, 47, 48 ]
15
[ "78+2=80", "47+48=95", "95-80=15" ]
Current State: 15:[78, 2, 47, 48], Operations: [] Exploring Operation: 78+2=80, Resulting Numbers: [47, 48, 80] Generated Node #2: [47, 48, 80] from Operation: 78+2=80 Current State: 15:[47, 48, 80], Operations: ['78+2=80'] Exploring Operation: 47+48=95, Resulting Numbers: [80, 95] Generated Node #3: [80, 95] from Operation: 47+48=95 Current State: 15:[80, 95], Operations: ['78+2=80', '47+48=95'] Exploring Operation: 95-80=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 50, 12, 33, 27 ]
32
[ "50-12=38", "33-27=6", "38-6=32" ]
Current State: 32:[50, 12, 33, 27], Operations: [] Exploring Operation: 50-12=38, Resulting Numbers: [33, 27, 38] Generated Node #2: [33, 27, 38] from Operation: 50-12=38 Current State: 32:[33, 27, 38], Operations: ['50-12=38'] Exploring Operation: 33-27=6, Resulting Numbers: [38, 6] Generated Node #3: [38, 6] from Operation: 33-27=6 Current State: 32:[38, 6], Operations: ['50-12=38', '33-27=6'] Exploring Operation: 38-6=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 57, 8, 89, 31 ]
100
[ "57+31=88", "88/8=11", "89+11=100" ]
Current State: 100:[57, 8, 89, 31], Operations: [] Exploring Operation: 57+31=88, Resulting Numbers: [8, 89, 88] Generated Node #2: [8, 89, 88] from Operation: 57+31=88 Current State: 100:[8, 89, 88], Operations: ['57+31=88'] Exploring Operation: 88/8=11, Resulting Numbers: [89, 11] Generated Node #3: [89, 11] from Operation: 88/8=11 Current State: 100:[89, 11], Operations: ['57+31=88', '88/8=11'] Exploring Operation: 89+11=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 53, 12, 8, 40 ]
92
[ "53-40=13", "8*13=104", "104-12=92" ]
Current State: 92:[53, 12, 8, 40], Operations: [] Exploring Operation: 53-40=13, Resulting Numbers: [12, 8, 13] Generated Node #2: [12, 8, 13] from Operation: 53-40=13 Current State: 92:[12, 8, 13], Operations: ['53-40=13'] Exploring Operation: 8*13=104, Resulting Numbers: [12, 104] Generated Node #3: [12, 104] from Operation: 8*13=104 Current State: 92:[12, 104], Operations: ['53-40=13', '8*13=104'] Exploring Operation: 104-12=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 69, 71, 80, 93 ]
67
[ "71-69=2", "80*2=160", "160-93=67" ]
Current State: 67:[69, 71, 80, 93], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [80, 93, 2] Generated Node #2: [80, 93, 2] from Operation: 71-69=2 Current State: 67:[80, 93, 2], Operations: ['71-69=2'] Exploring Operation: 80*2=160, Resulting Numbers: [93, 160] Generated Node #3: [93, 160] from Operation: 80*2=160 Current State: 67:[93, 160], Operations: ['71-69=2', '80*2=160'] Exploring Operation: 160-93=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 37, 62, 10, 8 ]
44
[ "62+8=70", "70/10=7", "37+7=44" ]
Current State: 44:[37, 62, 10, 8], Operations: [] Exploring Operation: 62+8=70, Resulting Numbers: [37, 10, 70] Generated Node #2: [37, 10, 70] from Operation: 62+8=70 Current State: 44:[37, 10, 70], Operations: ['62+8=70'] Exploring Operation: 70/10=7, Resulting Numbers: [37, 7] Generated Node #3: [37, 7] from Operation: 70/10=7 Current State: 44:[37, 7], Operations: ['62+8=70', '70/10=7'] Exploring Operation: 37+7=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 58, 67, 10, 34 ]
69
[ "58+10=68", "68/34=2", "67+2=69" ]
Current State: 69:[58, 67, 10, 34], Operations: [] Exploring Operation: 58+10=68, Resulting Numbers: [67, 34, 68] Generated Node #2: [67, 34, 68] from Operation: 58+10=68 Current State: 69:[67, 34, 68], Operations: ['58+10=68'] Exploring Operation: 68/34=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 68/34=2 Current State: 69:[67, 2], Operations: ['58+10=68', '68/34=2'] Exploring Operation: 67+2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 91, 13, 39, 24 ]
15
[ "91-13=78", "39+24=63", "78-63=15" ]
Current State: 15:[91, 13, 39, 24], Operations: [] Exploring Operation: 91-13=78, Resulting Numbers: [39, 24, 78] Generated Node #2: [39, 24, 78] from Operation: 91-13=78 Current State: 15:[39, 24, 78], Operations: ['91-13=78'] Exploring Operation: 39+24=63, Resulting Numbers: [78, 63] Generated Node #3: [78, 63] from Operation: 39+24=63 Current State: 15:[78, 63], Operations: ['91-13=78', '39+24=63'] Exploring Operation: 78-63=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 54, 23, 46, 32 ]
20
[ "54-32=22", "46/23=2", "22-2=20" ]
Current State: 20:[54, 23, 46, 32], Operations: [] Exploring Operation: 54-32=22, Resulting Numbers: [23, 46, 22] Generated Node #2: [23, 46, 22] from Operation: 54-32=22 Current State: 20:[23, 46, 22], Operations: ['54-32=22'] Exploring Operation: 46/23=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 46/23=2 Current State: 20:[22, 2], Operations: ['54-32=22', '46/23=2'] Exploring Operation: 22-2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 71, 70, 42, 37 ]
62
[ "71+70=141", "42+37=79", "141-79=62" ]
Current State: 62:[71, 70, 42, 37], Operations: [] Exploring Operation: 71+70=141, Resulting Numbers: [42, 37, 141] Generated Node #2: [42, 37, 141] from Operation: 71+70=141 Current State: 62:[42, 37, 141], Operations: ['71+70=141'] Exploring Operation: 42+37=79, Resulting Numbers: [141, 79] Generated Node #3: [141, 79] from Operation: 42+37=79 Current State: 62:[141, 79], Operations: ['71+70=141', '42+37=79'] Exploring Operation: 141-79=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 59, 53, 29, 3 ]
71
[ "59+29=88", "53*3=159", "159-88=71" ]
Current State: 71:[59, 53, 29, 3], Operations: [] Exploring Operation: 59+29=88, Resulting Numbers: [53, 3, 88] Generated Node #2: [53, 3, 88] from Operation: 59+29=88 Current State: 71:[53, 3, 88], Operations: ['59+29=88'] Exploring Operation: 53*3=159, Resulting Numbers: [88, 159] Generated Node #3: [88, 159] from Operation: 53*3=159 Current State: 71:[88, 159], Operations: ['59+29=88', '53*3=159'] Exploring Operation: 159-88=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 92, 38, 28, 46 ]
33
[ "92/46=2", "38+28=66", "66/2=33" ]
Current State: 33:[92, 38, 28, 46], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [38, 28, 2] Generated Node #2: [38, 28, 2] from Operation: 92/46=2 Current State: 33:[38, 28, 2], Operations: ['92/46=2'] Exploring Operation: 38+28=66, Resulting Numbers: [2, 66] Generated Node #3: [2, 66] from Operation: 38+28=66 Current State: 33:[2, 66], Operations: ['92/46=2', '38+28=66'] Exploring Operation: 66/2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 69, 93, 76, 31 ]
95
[ "69-31=38", "76/38=2", "93+2=95" ]
Current State: 95:[69, 93, 76, 31], Operations: [] Exploring Operation: 69-31=38, Resulting Numbers: [93, 76, 38] Generated Node #2: [93, 76, 38] from Operation: 69-31=38 Current State: 95:[93, 76, 38], Operations: ['69-31=38'] Exploring Operation: 76/38=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 76/38=2 Current State: 95:[93, 2], Operations: ['69-31=38', '76/38=2'] Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 99, 56, 38, 7 ]
27
[ "56-38=18", "7*18=126", "126-99=27" ]
Current State: 27:[99, 56, 38, 7], Operations: [] Exploring Operation: 56-38=18, Resulting Numbers: [99, 7, 18] Generated Node #2: [99, 7, 18] from Operation: 56-38=18 Current State: 27:[99, 7, 18], Operations: ['56-38=18'] Exploring Operation: 7*18=126, Resulting Numbers: [99, 126] Generated Node #3: [99, 126] from Operation: 7*18=126 Current State: 27:[99, 126], Operations: ['56-38=18', '7*18=126'] Exploring Operation: 126-99=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 9, 59, 10, 58 ]
81
[ "59-10=49", "58-49=9", "9*9=81" ]
Current State: 81:[9, 59, 10, 58], Operations: [] Exploring Operation: 59-10=49, Resulting Numbers: [9, 58, 49] Generated Node #2: [9, 58, 49] from Operation: 59-10=49 Current State: 81:[9, 58, 49], Operations: ['59-10=49'] Exploring Operation: 58-49=9, Resulting Numbers: [9, 9] Generated Node #3: [9, 9] from Operation: 58-49=9 Current State: 81:[9, 9], Operations: ['59-10=49', '58-49=9'] Exploring Operation: 9*9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 44, 15, 84, 21 ]
76
[ "44-15=29", "84+21=105", "105-29=76" ]
Current State: 76:[44, 15, 84, 21], Operations: [] Exploring Operation: 44-15=29, Resulting Numbers: [84, 21, 29] Generated Node #2: [84, 21, 29] from Operation: 44-15=29 Current State: 76:[84, 21, 29], Operations: ['44-15=29'] Exploring Operation: 84+21=105, Resulting Numbers: [29, 105] Generated Node #3: [29, 105] from Operation: 84+21=105 Current State: 76:[29, 105], Operations: ['44-15=29', '84+21=105'] Exploring Operation: 105-29=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 11, 98, 17, 29 ]
98
[ "11+17=28", "29-28=1", "98*1=98" ]
Current State: 98:[11, 98, 17, 29], Operations: [] Exploring Operation: 11+17=28, Resulting Numbers: [98, 29, 28] Generated Node #2: [98, 29, 28] from Operation: 11+17=28 Current State: 98:[98, 29, 28], Operations: ['11+17=28'] Exploring Operation: 29-28=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 29-28=1 Current State: 98:[98, 1], Operations: ['11+17=28', '29-28=1'] Exploring Operation: 98*1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 75, 38, 67, 34 ]
15
[ "67-38=29", "34-29=5", "75/5=15" ]
Current State: 15:[75, 38, 67, 34], Operations: [] Exploring Operation: 67-38=29, Resulting Numbers: [75, 34, 29] Generated Node #2: [75, 34, 29] from Operation: 67-38=29 Current State: 15:[75, 34, 29], Operations: ['67-38=29'] Exploring Operation: 34-29=5, Resulting Numbers: [75, 5] Generated Node #3: [75, 5] from Operation: 34-29=5 Current State: 15:[75, 5], Operations: ['67-38=29', '34-29=5'] Exploring Operation: 75/5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 78, 77, 68, 30 ]
97
[ "78-77=1", "68+30=98", "98-1=97" ]
Current State: 97:[78, 77, 68, 30], Operations: [] Exploring Operation: 78-77=1, Resulting Numbers: [68, 30, 1] Generated Node #2: [68, 30, 1] from Operation: 78-77=1 Current State: 97:[68, 30, 1], Operations: ['78-77=1'] Exploring Operation: 68+30=98, Resulting Numbers: [1, 98] Generated Node #3: [1, 98] from Operation: 68+30=98 Current State: 97:[1, 98], Operations: ['78-77=1', '68+30=98'] Exploring Operation: 98-1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 18, 52, 73, 78 ]
100
[ "18*78=1404", "1404/52=27", "73+27=100" ]
Current State: 100:[18, 52, 73, 78], Operations: [] Exploring Operation: 18*78=1404, Resulting Numbers: [52, 73, 1404] Generated Node #2: [52, 73, 1404] from Operation: 18*78=1404 Current State: 100:[52, 73, 1404], Operations: ['18*78=1404'] Exploring Operation: 1404/52=27, Resulting Numbers: [73, 27] Generated Node #3: [73, 27] from Operation: 1404/52=27 Current State: 100:[73, 27], Operations: ['18*78=1404', '1404/52=27'] Exploring Operation: 73+27=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 4, 44, 49, 10 ]
60
[ "49-44=5", "10+5=15", "4*15=60" ]
Current State: 60:[4, 44, 49, 10], Operations: [] Exploring Operation: 49-44=5, Resulting Numbers: [4, 10, 5] Generated Node #2: [4, 10, 5] from Operation: 49-44=5 Current State: 60:[4, 10, 5], Operations: ['49-44=5'] Exploring Operation: 10+5=15, Resulting Numbers: [4, 15] Generated Node #3: [4, 15] from Operation: 10+5=15 Current State: 60:[4, 15], Operations: ['49-44=5', '10+5=15'] Exploring Operation: 4*15=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 61, 72, 88, 2 ]
47
[ "61+72=133", "88-2=86", "133-86=47" ]
Current State: 47:[61, 72, 88, 2], Operations: [] Exploring Operation: 61+72=133, Resulting Numbers: [88, 2, 133] Generated Node #2: [88, 2, 133] from Operation: 61+72=133 Current State: 47:[88, 2, 133], Operations: ['61+72=133'] Exploring Operation: 88-2=86, Resulting Numbers: [133, 86] Generated Node #3: [133, 86] from Operation: 88-2=86 Current State: 47:[133, 86], Operations: ['61+72=133', '88-2=86'] Exploring Operation: 133-86=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 98, 46, 39, 25 ]
32
[ "46*25=1150", "98+1150=1248", "1248/39=32" ]
Current State: 32:[98, 46, 39, 25], Operations: [] Exploring Operation: 46*25=1150, Resulting Numbers: [98, 39, 1150] Generated Node #2: [98, 39, 1150] from Operation: 46*25=1150 Current State: 32:[98, 39, 1150], Operations: ['46*25=1150'] Exploring Operation: 98+1150=1248, Resulting Numbers: [39, 1248] Generated Node #3: [39, 1248] from Operation: 98+1150=1248 Current State: 32:[39, 1248], Operations: ['46*25=1150', '98+1150=1248'] Exploring Operation: 1248/39=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 82, 89, 52, 9 ]
71
[ "82+89=171", "171/9=19", "52+19=71" ]
Current State: 71:[82, 89, 52, 9], Operations: [] Exploring Operation: 82+89=171, Resulting Numbers: [52, 9, 171] Generated Node #2: [52, 9, 171] from Operation: 82+89=171 Current State: 71:[52, 9, 171], Operations: ['82+89=171'] Exploring Operation: 171/9=19, Resulting Numbers: [52, 19] Generated Node #3: [52, 19] from Operation: 171/9=19 Current State: 71:[52, 19], Operations: ['82+89=171', '171/9=19'] Exploring Operation: 52+19=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 45, 14, 90, 93 ]
77
[ "90/45=2", "93-14=79", "79-2=77" ]
Current State: 77:[45, 14, 90, 93], Operations: [] Exploring Operation: 90/45=2, Resulting Numbers: [14, 93, 2] Generated Node #2: [14, 93, 2] from Operation: 90/45=2 Current State: 77:[14, 93, 2], Operations: ['90/45=2'] Exploring Operation: 93-14=79, Resulting Numbers: [2, 79] Generated Node #3: [2, 79] from Operation: 93-14=79 Current State: 77:[2, 79], Operations: ['90/45=2', '93-14=79'] Exploring Operation: 79-2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 9, 3, 7, 93 ]
51
[ "9-3=6", "7*6=42", "93-42=51" ]
Current State: 51:[9, 3, 7, 93], Operations: [] Exploring Operation: 9-3=6, Resulting Numbers: [7, 93, 6] Generated Node #2: [7, 93, 6] from Operation: 9-3=6 Current State: 51:[7, 93, 6], Operations: ['9-3=6'] Exploring Operation: 7*6=42, Resulting Numbers: [93, 42] Generated Node #3: [93, 42] from Operation: 7*6=42 Current State: 51:[93, 42], Operations: ['9-3=6', '7*6=42'] Exploring Operation: 93-42=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 35, 18, 45, 63 ]
36
[ "18+45=63", "63/63=1", "35+1=36" ]
Current State: 36:[35, 18, 45, 63], Operations: [] Exploring Operation: 18+45=63, Resulting Numbers: [35, 63, 63] Generated Node #2: [35, 63, 63] from Operation: 18+45=63 Current State: 36:[35, 63, 63], Operations: ['18+45=63'] Exploring Operation: 63/63=1, Resulting Numbers: [35, 1] Generated Node #3: [35, 1] from Operation: 63/63=1 Current State: 36:[35, 1], Operations: ['18+45=63', '63/63=1'] Exploring Operation: 35+1=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 27, 73, 4, 14 ]
90
[ "27+73=100", "14-4=10", "100-10=90" ]
Current State: 90:[27, 73, 4, 14], Operations: [] Exploring Operation: 27+73=100, Resulting Numbers: [4, 14, 100] Generated Node #2: [4, 14, 100] from Operation: 27+73=100 Current State: 90:[4, 14, 100], Operations: ['27+73=100'] Exploring Operation: 14-4=10, Resulting Numbers: [100, 10] Generated Node #3: [100, 10] from Operation: 14-4=10 Current State: 90:[100, 10], Operations: ['27+73=100', '14-4=10'] Exploring Operation: 100-10=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 69, 22, 12, 3 ]
82
[ "69+22=91", "12-3=9", "91-9=82" ]
Current State: 82:[69, 22, 12, 3], Operations: [] Exploring Operation: 69+22=91, Resulting Numbers: [12, 3, 91] Generated Node #2: [12, 3, 91] from Operation: 69+22=91 Current State: 82:[12, 3, 91], Operations: ['69+22=91'] Exploring Operation: 12-3=9, Resulting Numbers: [91, 9] Generated Node #3: [91, 9] from Operation: 12-3=9 Current State: 82:[91, 9], Operations: ['69+22=91', '12-3=9'] Exploring Operation: 91-9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 41, 51, 25, 5 ]
27
[ "51-41=10", "10/5=2", "25+2=27" ]
Current State: 27:[41, 51, 25, 5], Operations: [] Exploring Operation: 51-41=10, Resulting Numbers: [25, 5, 10] Generated Node #2: [25, 5, 10] from Operation: 51-41=10 Current State: 27:[25, 5, 10], Operations: ['51-41=10'] Exploring Operation: 10/5=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 10/5=2 Current State: 27:[25, 2], Operations: ['51-41=10', '10/5=2'] Exploring Operation: 25+2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 26, 86, 44, 22 ]
82
[ "86-26=60", "44-22=22", "60+22=82" ]
Current State: 82:[26, 86, 44, 22], Operations: [] Exploring Operation: 86-26=60, Resulting Numbers: [44, 22, 60] Generated Node #2: [44, 22, 60] from Operation: 86-26=60 Current State: 82:[44, 22, 60], Operations: ['86-26=60'] Exploring Operation: 44-22=22, Resulting Numbers: [60, 22] Generated Node #3: [60, 22] from Operation: 44-22=22 Current State: 82:[60, 22], Operations: ['86-26=60', '44-22=22'] Exploring Operation: 60+22=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 25, 68, 30, 25 ]
68
[ "25-25=0", "30*0=0", "68+0=68" ]
Current State: 68:[25, 68, 30, 25], Operations: [] Exploring Operation: 25-25=0, Resulting Numbers: [68, 30, 0] Generated Node #2: [68, 30, 0] from Operation: 25-25=0 Current State: 68:[68, 30, 0], Operations: ['25-25=0'] Exploring Operation: 30*0=0, Resulting Numbers: [68, 0] Generated Node #3: [68, 0] from Operation: 30*0=0 Current State: 68:[68, 0], Operations: ['25-25=0', '30*0=0'] Exploring Operation: 68+0=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 65, 2, 13, 13 ]
39
[ "65*2=130", "13*13=169", "169-130=39" ]
Current State: 39:[65, 2, 13, 13], Operations: [] Exploring Operation: 65*2=130, Resulting Numbers: [13, 13, 130] Generated Node #2: [13, 13, 130] from Operation: 65*2=130 Current State: 39:[13, 13, 130], Operations: ['65*2=130'] Exploring Operation: 13*13=169, Resulting Numbers: [130, 169] Generated Node #3: [130, 169] from Operation: 13*13=169 Current State: 39:[130, 169], Operations: ['65*2=130', '13*13=169'] Exploring Operation: 169-130=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 24, 81, 75, 93 ]
97
[ "81-75=6", "24/6=4", "93+4=97" ]
Current State: 97:[24, 81, 75, 93], Operations: [] Exploring Operation: 81-75=6, Resulting Numbers: [24, 93, 6] Generated Node #2: [24, 93, 6] from Operation: 81-75=6 Current State: 97:[24, 93, 6], Operations: ['81-75=6'] Exploring Operation: 24/6=4, Resulting Numbers: [93, 4] Generated Node #3: [93, 4] from Operation: 24/6=4 Current State: 97:[93, 4], Operations: ['81-75=6', '24/6=4'] Exploring Operation: 93+4=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 30, 45, 54, 41 ]
80
[ "45-30=15", "54+41=95", "95-15=80" ]
Current State: 80:[30, 45, 54, 41], Operations: [] Exploring Operation: 45-30=15, Resulting Numbers: [54, 41, 15] Generated Node #2: [54, 41, 15] from Operation: 45-30=15 Current State: 80:[54, 41, 15], Operations: ['45-30=15'] Exploring Operation: 54+41=95, Resulting Numbers: [15, 95] Generated Node #3: [15, 95] from Operation: 54+41=95 Current State: 80:[15, 95], Operations: ['45-30=15', '54+41=95'] Exploring Operation: 95-15=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 46, 72, 99, 44 ]
63
[ "46+72=118", "99-44=55", "118-55=63" ]
Current State: 63:[46, 72, 99, 44], Operations: [] Exploring Operation: 46+72=118, Resulting Numbers: [99, 44, 118] Generated Node #2: [99, 44, 118] from Operation: 46+72=118 Current State: 63:[99, 44, 118], Operations: ['46+72=118'] Exploring Operation: 99-44=55, Resulting Numbers: [118, 55] Generated Node #3: [118, 55] from Operation: 99-44=55 Current State: 63:[118, 55], Operations: ['46+72=118', '99-44=55'] Exploring Operation: 118-55=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 55, 8, 15, 14 ]
57
[ "15-8=7", "14/7=2", "55+2=57" ]
Current State: 57:[55, 8, 15, 14], Operations: [] Exploring Operation: 15-8=7, Resulting Numbers: [55, 14, 7] Generated Node #2: [55, 14, 7] from Operation: 15-8=7 Current State: 57:[55, 14, 7], Operations: ['15-8=7'] Exploring Operation: 14/7=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 14/7=2 Current State: 57:[55, 2], Operations: ['15-8=7', '14/7=2'] Exploring Operation: 55+2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 8, 44, 15, 67 ]
64
[ "44+15=59", "67-59=8", "8*8=64" ]
Current State: 64:[8, 44, 15, 67], Operations: [] Exploring Operation: 44+15=59, Resulting Numbers: [8, 67, 59] Generated Node #2: [8, 67, 59] from Operation: 44+15=59 Current State: 64:[8, 67, 59], Operations: ['44+15=59'] Exploring Operation: 67-59=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 67-59=8 Current State: 64:[8, 8], Operations: ['44+15=59', '67-59=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 68, 12, 87, 54 ]
61
[ "68+12=80", "87+54=141", "141-80=61" ]
Current State: 61:[68, 12, 87, 54], Operations: [] Exploring Operation: 68+12=80, Resulting Numbers: [87, 54, 80] Generated Node #2: [87, 54, 80] from Operation: 68+12=80 Current State: 61:[87, 54, 80], Operations: ['68+12=80'] Exploring Operation: 87+54=141, Resulting Numbers: [80, 141] Generated Node #3: [80, 141] from Operation: 87+54=141 Current State: 61:[80, 141], Operations: ['68+12=80', '87+54=141'] Exploring Operation: 141-80=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 89, 16, 48, 65 ]
89
[ "16+48=64", "65-64=1", "89*1=89" ]
Current State: 89:[89, 16, 48, 65], Operations: [] Exploring Operation: 16+48=64, Resulting Numbers: [89, 65, 64] Generated Node #2: [89, 65, 64] from Operation: 16+48=64 Current State: 89:[89, 65, 64], Operations: ['16+48=64'] Exploring Operation: 65-64=1, Resulting Numbers: [89, 1] Generated Node #3: [89, 1] from Operation: 65-64=1 Current State: 89:[89, 1], Operations: ['16+48=64', '65-64=1'] Exploring Operation: 89*1=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 14, 28, 93, 5 ]
90
[ "28/14=2", "93-5=88", "2+88=90" ]
Current State: 90:[14, 28, 93, 5], Operations: [] Exploring Operation: 28/14=2, Resulting Numbers: [93, 5, 2] Generated Node #2: [93, 5, 2] from Operation: 28/14=2 Current State: 90:[93, 5, 2], Operations: ['28/14=2'] Exploring Operation: 93-5=88, Resulting Numbers: [2, 88] Generated Node #3: [2, 88] from Operation: 93-5=88 Current State: 90:[2, 88], Operations: ['28/14=2', '93-5=88'] Exploring Operation: 2+88=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 13, 28, 29, 22 ]
52
[ "13*28=364", "29-22=7", "364/7=52" ]
Current State: 52:[13, 28, 29, 22], Operations: [] Exploring Operation: 13*28=364, Resulting Numbers: [29, 22, 364] Generated Node #2: [29, 22, 364] from Operation: 13*28=364 Current State: 52:[29, 22, 364], Operations: ['13*28=364'] Exploring Operation: 29-22=7, Resulting Numbers: [364, 7] Generated Node #3: [364, 7] from Operation: 29-22=7 Current State: 52:[364, 7], Operations: ['13*28=364', '29-22=7'] Exploring Operation: 364/7=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 5, 40, 37, 38 ]
44
[ "5+40=45", "38-37=1", "45-1=44" ]
Current State: 44:[5, 40, 37, 38], Operations: [] Exploring Operation: 5+40=45, Resulting Numbers: [37, 38, 45] Generated Node #2: [37, 38, 45] from Operation: 5+40=45 Current State: 44:[37, 38, 45], Operations: ['5+40=45'] Exploring Operation: 38-37=1, Resulting Numbers: [45, 1] Generated Node #3: [45, 1] from Operation: 38-37=1 Current State: 44:[45, 1], Operations: ['5+40=45', '38-37=1'] Exploring Operation: 45-1=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 27, 30, 50, 3 ]
99
[ "50-27=23", "3*23=69", "30+69=99" ]
Current State: 99:[27, 30, 50, 3], Operations: [] Exploring Operation: 50-27=23, Resulting Numbers: [30, 3, 23] Generated Node #2: [30, 3, 23] from Operation: 50-27=23 Current State: 99:[30, 3, 23], Operations: ['50-27=23'] Exploring Operation: 3*23=69, Resulting Numbers: [30, 69] Generated Node #3: [30, 69] from Operation: 3*23=69 Current State: 99:[30, 69], Operations: ['50-27=23', '3*23=69'] Exploring Operation: 30+69=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 29, 54, 17, 20 ]
23
[ "29-20=9", "54/9=6", "17+6=23" ]
Current State: 23:[29, 54, 17, 20], Operations: [] Exploring Operation: 29-20=9, Resulting Numbers: [54, 17, 9] Generated Node #2: [54, 17, 9] from Operation: 29-20=9 Current State: 23:[54, 17, 9], Operations: ['29-20=9'] Exploring Operation: 54/9=6, Resulting Numbers: [17, 6] Generated Node #3: [17, 6] from Operation: 54/9=6 Current State: 23:[17, 6], Operations: ['29-20=9', '54/9=6'] Exploring Operation: 17+6=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 45, 62, 81, 42 ]
56
[ "62-45=17", "81-42=39", "17+39=56" ]
Current State: 56:[45, 62, 81, 42], Operations: [] Exploring Operation: 62-45=17, Resulting Numbers: [81, 42, 17] Generated Node #2: [81, 42, 17] from Operation: 62-45=17 Current State: 56:[81, 42, 17], Operations: ['62-45=17'] Exploring Operation: 81-42=39, Resulting Numbers: [17, 39] Generated Node #3: [17, 39] from Operation: 81-42=39 Current State: 56:[17, 39], Operations: ['62-45=17', '81-42=39'] Exploring Operation: 17+39=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 1, 62, 31, 92 ]
46
[ "1*62=62", "31*92=2852", "2852/62=46" ]
Current State: 46:[1, 62, 31, 92], Operations: [] Exploring Operation: 1*62=62, Resulting Numbers: [31, 92, 62] Generated Node #2: [31, 92, 62] from Operation: 1*62=62 Current State: 46:[31, 92, 62], Operations: ['1*62=62'] Exploring Operation: 31*92=2852, Resulting Numbers: [62, 2852] Generated Node #3: [62, 2852] from Operation: 31*92=2852 Current State: 46:[62, 2852], Operations: ['1*62=62', '31*92=2852'] Exploring Operation: 2852/62=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 80, 87, 43, 70 ]
20
[ "87-80=7", "70-43=27", "27-7=20" ]
Current State: 20:[80, 87, 43, 70], Operations: [] Exploring Operation: 87-80=7, Resulting Numbers: [43, 70, 7] Generated Node #2: [43, 70, 7] from Operation: 87-80=7 Current State: 20:[43, 70, 7], Operations: ['87-80=7'] Exploring Operation: 70-43=27, Resulting Numbers: [7, 27] Generated Node #3: [7, 27] from Operation: 70-43=27 Current State: 20:[7, 27], Operations: ['87-80=7', '70-43=27'] Exploring Operation: 27-7=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 91, 7, 55, 10 ]
87
[ "91*7=637", "55*10=550", "637-550=87" ]
Current State: 87:[91, 7, 55, 10], Operations: [] Exploring Operation: 91*7=637, Resulting Numbers: [55, 10, 637] Generated Node #2: [55, 10, 637] from Operation: 91*7=637 Current State: 87:[55, 10, 637], Operations: ['91*7=637'] Exploring Operation: 55*10=550, Resulting Numbers: [637, 550] Generated Node #3: [637, 550] from Operation: 55*10=550 Current State: 87:[637, 550], Operations: ['91*7=637', '55*10=550'] Exploring Operation: 637-550=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 37, 92, 34, 61 ]
34
[ "37+92=129", "34+61=95", "129-95=34" ]
Current State: 34:[37, 92, 34, 61], Operations: [] Exploring Operation: 37+92=129, Resulting Numbers: [34, 61, 129] Generated Node #2: [34, 61, 129] from Operation: 37+92=129 Current State: 34:[34, 61, 129], Operations: ['37+92=129'] Exploring Operation: 34+61=95, Resulting Numbers: [129, 95] Generated Node #3: [129, 95] from Operation: 34+61=95 Current State: 34:[129, 95], Operations: ['37+92=129', '34+61=95'] Exploring Operation: 129-95=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 30, 52, 39, 57 ]
97
[ "30*52=1560", "1560/39=40", "57+40=97" ]
Current State: 97:[30, 52, 39, 57], Operations: [] Exploring Operation: 30*52=1560, Resulting Numbers: [39, 57, 1560] Generated Node #2: [39, 57, 1560] from Operation: 30*52=1560 Current State: 97:[39, 57, 1560], Operations: ['30*52=1560'] Exploring Operation: 1560/39=40, Resulting Numbers: [57, 40] Generated Node #3: [57, 40] from Operation: 1560/39=40 Current State: 97:[57, 40], Operations: ['30*52=1560', '1560/39=40'] Exploring Operation: 57+40=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 98, 21, 74, 79 ]
76
[ "98-21=77", "74+79=153", "153-77=76" ]
Current State: 76:[98, 21, 74, 79], Operations: [] Exploring Operation: 98-21=77, Resulting Numbers: [74, 79, 77] Generated Node #2: [74, 79, 77] from Operation: 98-21=77 Current State: 76:[74, 79, 77], Operations: ['98-21=77'] Exploring Operation: 74+79=153, Resulting Numbers: [77, 153] Generated Node #3: [77, 153] from Operation: 74+79=153 Current State: 76:[77, 153], Operations: ['98-21=77', '74+79=153'] Exploring Operation: 153-77=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 18, 3, 10, 24 ]
16
[ "18-3=15", "10*24=240", "240/15=16" ]
Current State: 16:[18, 3, 10, 24], Operations: [] Exploring Operation: 18-3=15, Resulting Numbers: [10, 24, 15] Generated Node #2: [10, 24, 15] from Operation: 18-3=15 Current State: 16:[10, 24, 15], Operations: ['18-3=15'] Exploring Operation: 10*24=240, Resulting Numbers: [15, 240] Generated Node #3: [15, 240] from Operation: 10*24=240 Current State: 16:[15, 240], Operations: ['18-3=15', '10*24=240'] Exploring Operation: 240/15=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 54, 46, 8, 80 ]
80
[ "54-46=8", "8+80=88", "88-8=80" ]
Current State: 80:[54, 46, 8, 80], Operations: [] Exploring Operation: 54-46=8, Resulting Numbers: [8, 80, 8] Generated Node #2: [8, 80, 8] from Operation: 54-46=8 Current State: 80:[8, 80, 8], Operations: ['54-46=8'] Exploring Operation: 8+80=88, Resulting Numbers: [88] 88,80 equal: Goal Reached Exploring Operation: 88-8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 96, 57, 24, 92 ]
77
[ "96-57=39", "24+92=116", "116-39=77" ]
Current State: 77:[96, 57, 24, 92], Operations: [] Exploring Operation: 96-57=39, Resulting Numbers: [24, 92, 39] Generated Node #2: [24, 92, 39] from Operation: 96-57=39 Current State: 77:[24, 92, 39], Operations: ['96-57=39'] Exploring Operation: 24+92=116, Resulting Numbers: [39, 116] Generated Node #3: [39, 116] from Operation: 24+92=116 Current State: 77:[39, 116], Operations: ['96-57=39', '24+92=116'] Exploring Operation: 116-39=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 32, 4, 94, 2 ]
76
[ "32+4=36", "36/2=18", "94-18=76" ]
Current State: 76:[32, 4, 94, 2], Operations: [] Exploring Operation: 32+4=36, Resulting Numbers: [94, 2, 36] Generated Node #2: [94, 2, 36] from Operation: 32+4=36 Current State: 76:[94, 2, 36], Operations: ['32+4=36'] Exploring Operation: 36/2=18, Resulting Numbers: [94, 18] Generated Node #3: [94, 18] from Operation: 36/2=18 Current State: 76:[94, 18], Operations: ['32+4=36', '36/2=18'] Exploring Operation: 94-18=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 17, 16, 93, 25 ]
64
[ "93-25=68", "68/17=4", "16*4=64" ]
Current State: 64:[17, 16, 93, 25], Operations: [] Exploring Operation: 93-25=68, Resulting Numbers: [17, 16, 68] Generated Node #2: [17, 16, 68] from Operation: 93-25=68 Current State: 64:[17, 16, 68], Operations: ['93-25=68'] Exploring Operation: 68/17=4, Resulting Numbers: [16, 4] Generated Node #3: [16, 4] from Operation: 68/17=4 Current State: 64:[16, 4], Operations: ['93-25=68', '68/17=4'] Exploring Operation: 16*4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 92, 56, 51, 28 ]
60
[ "51-28=23", "92/23=4", "56+4=60" ]
Current State: 60:[92, 56, 51, 28], Operations: [] Exploring Operation: 51-28=23, Resulting Numbers: [92, 56, 23] Generated Node #2: [92, 56, 23] from Operation: 51-28=23 Current State: 60:[92, 56, 23], Operations: ['51-28=23'] Exploring Operation: 92/23=4, Resulting Numbers: [56, 4] Generated Node #3: [56, 4] from Operation: 92/23=4 Current State: 60:[56, 4], Operations: ['51-28=23', '92/23=4'] Exploring Operation: 56+4=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 90, 95, 24, 50 ]
57
[ "90-50=40", "95*24=2280", "2280/40=57" ]
Current State: 57:[90, 95, 24, 50], Operations: [] Exploring Operation: 90-50=40, Resulting Numbers: [95, 24, 40] Generated Node #2: [95, 24, 40] from Operation: 90-50=40 Current State: 57:[95, 24, 40], Operations: ['90-50=40'] Exploring Operation: 95*24=2280, Resulting Numbers: [40, 2280] Generated Node #3: [40, 2280] from Operation: 95*24=2280 Current State: 57:[40, 2280], Operations: ['90-50=40', '95*24=2280'] Exploring Operation: 2280/40=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 14, 9, 34, 11 ]
21
[ "14-9=5", "11*5=55", "55-34=21" ]
Current State: 21:[14, 9, 34, 11], Operations: [] Exploring Operation: 14-9=5, Resulting Numbers: [34, 11, 5] Generated Node #2: [34, 11, 5] from Operation: 14-9=5 Current State: 21:[34, 11, 5], Operations: ['14-9=5'] Exploring Operation: 11*5=55, Resulting Numbers: [34, 55] Generated Node #3: [34, 55] from Operation: 11*5=55 Current State: 21:[34, 55], Operations: ['14-9=5', '11*5=55'] Exploring Operation: 55-34=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 7, 23, 10, 69 ]
40
[ "69/23=3", "7-3=4", "10*4=40" ]
Current State: 40:[7, 23, 10, 69], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [7, 10, 3] Generated Node #2: [7, 10, 3] from Operation: 69/23=3 Current State: 40:[7, 10, 3], Operations: ['69/23=3'] Exploring Operation: 7-3=4, Resulting Numbers: [10, 4] Generated Node #3: [10, 4] from Operation: 7-3=4 Current State: 40:[10, 4], Operations: ['69/23=3', '7-3=4'] Exploring Operation: 10*4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 26, 12, 18, 23 ]
70
[ "26-12=14", "23-18=5", "14*5=70" ]
Current State: 70:[26, 12, 18, 23], Operations: [] Exploring Operation: 26-12=14, Resulting Numbers: [18, 23, 14] Generated Node #2: [18, 23, 14] from Operation: 26-12=14 Current State: 70:[18, 23, 14], Operations: ['26-12=14'] Exploring Operation: 23-18=5, Resulting Numbers: [14, 5] Generated Node #3: [14, 5] from Operation: 23-18=5 Current State: 70:[14, 5], Operations: ['26-12=14', '23-18=5'] Exploring Operation: 14*5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 77, 86, 52, 39 ]
26
[ "77+52=129", "86*39=3354", "3354/129=26" ]
Current State: 26:[77, 86, 52, 39], Operations: [] Exploring Operation: 77+52=129, Resulting Numbers: [86, 39, 129] Generated Node #2: [86, 39, 129] from Operation: 77+52=129 Current State: 26:[86, 39, 129], Operations: ['77+52=129'] Exploring Operation: 86*39=3354, Resulting Numbers: [129, 3354] Generated Node #3: [129, 3354] from Operation: 86*39=3354 Current State: 26:[129, 3354], Operations: ['77+52=129', '86*39=3354'] Exploring Operation: 3354/129=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 21, 58, 28, 8 ]
59
[ "21+58=79", "28-8=20", "79-20=59" ]
Current State: 59:[21, 58, 28, 8], Operations: [] Exploring Operation: 21+58=79, Resulting Numbers: [28, 8, 79] Generated Node #2: [28, 8, 79] from Operation: 21+58=79 Current State: 59:[28, 8, 79], Operations: ['21+58=79'] Exploring Operation: 28-8=20, Resulting Numbers: [79, 20] Generated Node #3: [79, 20] from Operation: 28-8=20 Current State: 59:[79, 20], Operations: ['21+58=79', '28-8=20'] Exploring Operation: 79-20=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 29, 64, 14, 27 ]
16
[ "29+27=56", "64*14=896", "896/56=16" ]
Current State: 16:[29, 64, 14, 27], Operations: [] Exploring Operation: 29+27=56, Resulting Numbers: [64, 14, 56] Generated Node #2: [64, 14, 56] from Operation: 29+27=56 Current State: 16:[64, 14, 56], Operations: ['29+27=56'] Exploring Operation: 64*14=896, Resulting Numbers: [56, 896] Generated Node #3: [56, 896] from Operation: 64*14=896 Current State: 16:[56, 896], Operations: ['29+27=56', '64*14=896'] Exploring Operation: 896/56=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 62, 68, 56, 60 ]
59
[ "62*56=3472", "68+3472=3540", "3540/60=59" ]
Current State: 59:[62, 68, 56, 60], Operations: [] Exploring Operation: 62*56=3472, Resulting Numbers: [68, 60, 3472] Generated Node #2: [68, 60, 3472] from Operation: 62*56=3472 Current State: 59:[68, 60, 3472], Operations: ['62*56=3472'] Exploring Operation: 68+3472=3540, Resulting Numbers: [60, 3540] Generated Node #3: [60, 3540] from Operation: 68+3472=3540 Current State: 59:[60, 3540], Operations: ['62*56=3472', '68+3472=3540'] Exploring Operation: 3540/60=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 2, 62, 27, 29 ]
41
[ "62-27=35", "2*35=70", "70-29=41" ]
Current State: 41:[2, 62, 27, 29], Operations: [] Exploring Operation: 62-27=35, Resulting Numbers: [2, 29, 35] Generated Node #2: [2, 29, 35] from Operation: 62-27=35 Current State: 41:[2, 29, 35], Operations: ['62-27=35'] Exploring Operation: 2*35=70, Resulting Numbers: [29, 70] Generated Node #3: [29, 70] from Operation: 2*35=70 Current State: 41:[29, 70], Operations: ['62-27=35', '2*35=70'] Exploring Operation: 70-29=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 54, 9, 7, 69 ]
27
[ "54/9=6", "7*6=42", "69-42=27" ]
Current State: 27:[54, 9, 7, 69], Operations: [] Exploring Operation: 54/9=6, Resulting Numbers: [7, 69, 6] Generated Node #2: [7, 69, 6] from Operation: 54/9=6 Current State: 27:[7, 69, 6], Operations: ['54/9=6'] Exploring Operation: 7*6=42, Resulting Numbers: [69, 42] Generated Node #3: [69, 42] from Operation: 7*6=42 Current State: 27:[69, 42], Operations: ['54/9=6', '7*6=42'] Exploring Operation: 69-42=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 73, 25, 89, 46 ]
87
[ "73-25=48", "89+46=135", "135-48=87" ]
Current State: 87:[73, 25, 89, 46], Operations: [] Exploring Operation: 73-25=48, Resulting Numbers: [89, 46, 48] Generated Node #2: [89, 46, 48] from Operation: 73-25=48 Current State: 87:[89, 46, 48], Operations: ['73-25=48'] Exploring Operation: 89+46=135, Resulting Numbers: [48, 135] Generated Node #3: [48, 135] from Operation: 89+46=135 Current State: 87:[48, 135], Operations: ['73-25=48', '89+46=135'] Exploring Operation: 135-48=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 22, 24, 22, 31 ]
13
[ "24-22=2", "22*2=44", "44-31=13" ]
Current State: 13:[22, 24, 22, 31], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [31, 2] Generated Node #2: [31, 2] from Operation: 24-22=2 Current State: 13:[31, 2], Operations: ['24-22=2'] Exploring Operation: 22*2=44, Resulting Numbers: [31, 44] Generated Node #3: [31, 44] from Operation: 22*2=44 Current State: 13:[31, 44], Operations: ['24-22=2', '22*2=44'] Exploring Operation: 44-31=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 11, 4, 68, 13 ]
76
[ "13-11=2", "4*2=8", "68+8=76" ]
Current State: 76:[11, 4, 68, 13], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [4, 68, 2] Generated Node #2: [4, 68, 2] from Operation: 13-11=2 Current State: 76:[4, 68, 2], Operations: ['13-11=2'] Exploring Operation: 4*2=8, Resulting Numbers: [68, 8] Generated Node #3: [68, 8] from Operation: 4*2=8 Current State: 76:[68, 8], Operations: ['13-11=2', '4*2=8'] Exploring Operation: 68+8=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 20, 28, 20, 81 ]
54
[ "20/20=1", "81-28=53", "1+53=54" ]
Current State: 54:[20, 28, 20, 81], Operations: [] Exploring Operation: 20/20=1, Resulting Numbers: [28, 81, 1] Generated Node #2: [28, 81, 1] from Operation: 20/20=1 Current State: 54:[28, 81, 1], Operations: ['20/20=1'] Exploring Operation: 81-28=53, Resulting Numbers: [1, 53] Generated Node #3: [1, 53] from Operation: 81-28=53 Current State: 54:[1, 53], Operations: ['20/20=1', '81-28=53'] Exploring Operation: 1+53=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 41, 3, 32, 94 ]
91
[ "41-32=9", "9/3=3", "94-3=91" ]
Current State: 91:[41, 3, 32, 94], Operations: [] Exploring Operation: 41-32=9, Resulting Numbers: [3, 94, 9] Generated Node #2: [3, 94, 9] from Operation: 41-32=9 Current State: 91:[3, 94, 9], Operations: ['41-32=9'] Exploring Operation: 9/3=3, Resulting Numbers: [94, 3] Generated Node #3: [94, 3] from Operation: 9/3=3 Current State: 91:[94, 3], Operations: ['41-32=9', '9/3=3'] Exploring Operation: 94-3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 75, 84, 9, 22 ]
87
[ "75-9=66", "66/22=3", "84+3=87" ]
Current State: 87:[75, 84, 9, 22], Operations: [] Exploring Operation: 75-9=66, Resulting Numbers: [84, 22, 66] Generated Node #2: [84, 22, 66] from Operation: 75-9=66 Current State: 87:[84, 22, 66], Operations: ['75-9=66'] Exploring Operation: 66/22=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 66/22=3 Current State: 87:[84, 3], Operations: ['75-9=66', '66/22=3'] Exploring Operation: 84+3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 38, 53, 99, 36 ]
44
[ "38+53=91", "99+36=135", "135-91=44" ]
Current State: 44:[38, 53, 99, 36], Operations: [] Exploring Operation: 38+53=91, Resulting Numbers: [99, 36, 91] Generated Node #2: [99, 36, 91] from Operation: 38+53=91 Current State: 44:[99, 36, 91], Operations: ['38+53=91'] Exploring Operation: 99+36=135, Resulting Numbers: [91, 135] Generated Node #3: [91, 135] from Operation: 99+36=135 Current State: 44:[91, 135], Operations: ['38+53=91', '99+36=135'] Exploring Operation: 135-91=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 75, 43, 7, 65 ]
46
[ "75+43=118", "7+65=72", "118-72=46" ]
Current State: 46:[75, 43, 7, 65], Operations: [] Exploring Operation: 75+43=118, Resulting Numbers: [7, 65, 118] Generated Node #2: [7, 65, 118] from Operation: 75+43=118 Current State: 46:[7, 65, 118], Operations: ['75+43=118'] Exploring Operation: 7+65=72, Resulting Numbers: [118, 72] Generated Node #3: [118, 72] from Operation: 7+65=72 Current State: 46:[118, 72], Operations: ['75+43=118', '7+65=72'] Exploring Operation: 118-72=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 35, 38, 63, 2 ]
48
[ "63-35=28", "38*2=76", "76-28=48" ]
Current State: 48:[35, 38, 63, 2], Operations: [] Exploring Operation: 63-35=28, Resulting Numbers: [38, 2, 28] Generated Node #2: [38, 2, 28] from Operation: 63-35=28 Current State: 48:[38, 2, 28], Operations: ['63-35=28'] Exploring Operation: 38*2=76, Resulting Numbers: [28, 76] Generated Node #3: [28, 76] from Operation: 38*2=76 Current State: 48:[28, 76], Operations: ['63-35=28', '38*2=76'] Exploring Operation: 76-28=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 24, 25, 10, 95 ]
84
[ "25-24=1", "95-10=85", "85-1=84" ]
Current State: 84:[24, 25, 10, 95], Operations: [] Exploring Operation: 25-24=1, Resulting Numbers: [10, 95, 1] Generated Node #2: [10, 95, 1] from Operation: 25-24=1 Current State: 84:[10, 95, 1], Operations: ['25-24=1'] Exploring Operation: 95-10=85, Resulting Numbers: [1, 85] Generated Node #3: [1, 85] from Operation: 95-10=85 Current State: 84:[1, 85], Operations: ['25-24=1', '95-10=85'] Exploring Operation: 85-1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 95, 32, 52, 37 ]
26
[ "95-32=63", "52+37=89", "89-63=26" ]
Current State: 26:[95, 32, 52, 37], Operations: [] Exploring Operation: 95-32=63, Resulting Numbers: [52, 37, 63] Generated Node #2: [52, 37, 63] from Operation: 95-32=63 Current State: 26:[52, 37, 63], Operations: ['95-32=63'] Exploring Operation: 52+37=89, Resulting Numbers: [63, 89] Generated Node #3: [63, 89] from Operation: 52+37=89 Current State: 26:[63, 89], Operations: ['95-32=63', '52+37=89'] Exploring Operation: 89-63=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 63, 51, 87, 98 ]
71
[ "63+51=114", "87+98=185", "185-114=71" ]
Current State: 71:[63, 51, 87, 98], Operations: [] Exploring Operation: 63+51=114, Resulting Numbers: [87, 98, 114] Generated Node #2: [87, 98, 114] from Operation: 63+51=114 Current State: 71:[87, 98, 114], Operations: ['63+51=114'] Exploring Operation: 87+98=185, Resulting Numbers: [114, 185] Generated Node #3: [114, 185] from Operation: 87+98=185 Current State: 71:[114, 185], Operations: ['63+51=114', '87+98=185'] Exploring Operation: 185-114=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 3, 65, 91, 65 ]
94
[ "3+65=68", "91-65=26", "68+26=94" ]
Current State: 94:[3, 65, 91, 65], Operations: [] Exploring Operation: 3+65=68, Resulting Numbers: [91, 68] Generated Node #2: [91, 68] from Operation: 3+65=68 Current State: 94:[91, 68], Operations: ['3+65=68'] Exploring Operation: 91-65=26, Resulting Numbers: [68, 26] Generated Node #3: [68, 26] from Operation: 91-65=26 Current State: 94:[68, 26], Operations: ['3+65=68', '91-65=26'] Exploring Operation: 68+26=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 35, 59, 81, 17 ]
21
[ "59+81=140", "140/35=4", "17+4=21" ]
Current State: 21:[35, 59, 81, 17], Operations: [] Exploring Operation: 59+81=140, Resulting Numbers: [35, 17, 140] Generated Node #2: [35, 17, 140] from Operation: 59+81=140 Current State: 21:[35, 17, 140], Operations: ['59+81=140'] Exploring Operation: 140/35=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 140/35=4 Current State: 21:[17, 4], Operations: ['59+81=140', '140/35=4'] Exploring Operation: 17+4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 7, 66, 63, 30 ]
45
[ "63/7=9", "66-30=36", "9+36=45" ]
Current State: 45:[7, 66, 63, 30], Operations: [] Exploring Operation: 63/7=9, Resulting Numbers: [66, 30, 9] Generated Node #2: [66, 30, 9] from Operation: 63/7=9 Current State: 45:[66, 30, 9], Operations: ['63/7=9'] Exploring Operation: 66-30=36, Resulting Numbers: [9, 36] Generated Node #3: [9, 36] from Operation: 66-30=36 Current State: 45:[9, 36], Operations: ['63/7=9', '66-30=36'] Exploring Operation: 9+36=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 48, 82, 29, 2 ]
61
[ "82-48=34", "29-2=27", "34+27=61" ]
Current State: 61:[48, 82, 29, 2], Operations: [] Exploring Operation: 82-48=34, Resulting Numbers: [29, 2, 34] Generated Node #2: [29, 2, 34] from Operation: 82-48=34 Current State: 61:[29, 2, 34], Operations: ['82-48=34'] Exploring Operation: 29-2=27, Resulting Numbers: [34, 27] Generated Node #3: [34, 27] from Operation: 29-2=27 Current State: 61:[34, 27], Operations: ['82-48=34', '29-2=27'] Exploring Operation: 34+27=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 60, 65, 18, 36 ]
59
[ "65-60=5", "18+36=54", "5+54=59" ]
Current State: 59:[60, 65, 18, 36], Operations: [] Exploring Operation: 65-60=5, Resulting Numbers: [18, 36, 5] Generated Node #2: [18, 36, 5] from Operation: 65-60=5 Current State: 59:[18, 36, 5], Operations: ['65-60=5'] Exploring Operation: 18+36=54, Resulting Numbers: [5, 54] Generated Node #3: [5, 54] from Operation: 18+36=54 Current State: 59:[5, 54], Operations: ['65-60=5', '18+36=54'] Exploring Operation: 5+54=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 31, 45, 10, 80 ]
29
[ "10+80=90", "90/45=2", "31-2=29" ]
Current State: 29:[31, 45, 10, 80], Operations: [] Exploring Operation: 10+80=90, Resulting Numbers: [31, 45, 90] Generated Node #2: [31, 45, 90] from Operation: 10+80=90 Current State: 29:[31, 45, 90], Operations: ['10+80=90'] Exploring Operation: 90/45=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 90/45=2 Current State: 29:[31, 2], Operations: ['10+80=90', '90/45=2'] Exploring Operation: 31-2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 91, 4, 87, 46 ]
54
[ "91+4=95", "87-46=41", "95-41=54" ]
Current State: 54:[91, 4, 87, 46], Operations: [] Exploring Operation: 91+4=95, Resulting Numbers: [87, 46, 95] Generated Node #2: [87, 46, 95] from Operation: 91+4=95 Current State: 54:[87, 46, 95], Operations: ['91+4=95'] Exploring Operation: 87-46=41, Resulting Numbers: [95, 41] Generated Node #3: [95, 41] from Operation: 87-46=41 Current State: 54:[95, 41], Operations: ['91+4=95', '87-46=41'] Exploring Operation: 95-41=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 14, 42, 97, 54 ]
46
[ "42/14=3", "97-54=43", "3+43=46" ]
Current State: 46:[14, 42, 97, 54], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [97, 54, 3] Generated Node #2: [97, 54, 3] from Operation: 42/14=3 Current State: 46:[97, 54, 3], Operations: ['42/14=3'] Exploring Operation: 97-54=43, Resulting Numbers: [3, 43] Generated Node #3: [3, 43] from Operation: 97-54=43 Current State: 46:[3, 43], Operations: ['42/14=3', '97-54=43'] Exploring Operation: 3+43=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 59, 53, 18, 89 ]
41
[ "59+53=112", "89-18=71", "112-71=41" ]
Current State: 41:[59, 53, 18, 89], Operations: [] Exploring Operation: 59+53=112, Resulting Numbers: [18, 89, 112] Generated Node #2: [18, 89, 112] from Operation: 59+53=112 Current State: 41:[18, 89, 112], Operations: ['59+53=112'] Exploring Operation: 89-18=71, Resulting Numbers: [112, 71] Generated Node #3: [112, 71] from Operation: 89-18=71 Current State: 41:[112, 71], Operations: ['59+53=112', '89-18=71'] Exploring Operation: 112-71=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 14, 34, 11, 90 ]
15
[ "90-34=56", "56/14=4", "11+4=15" ]
Current State: 15:[14, 34, 11, 90], Operations: [] Exploring Operation: 90-34=56, Resulting Numbers: [14, 11, 56] Generated Node #2: [14, 11, 56] from Operation: 90-34=56 Current State: 15:[14, 11, 56], Operations: ['90-34=56'] Exploring Operation: 56/14=4, Resulting Numbers: [11, 4] Generated Node #3: [11, 4] from Operation: 56/14=4 Current State: 15:[11, 4], Operations: ['90-34=56', '56/14=4'] Exploring Operation: 11+4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 30, 99, 55, 14 ]
28
[ "99-30=69", "55-14=41", "69-41=28" ]
Current State: 28:[30, 99, 55, 14], Operations: [] Exploring Operation: 99-30=69, Resulting Numbers: [55, 14, 69] Generated Node #2: [55, 14, 69] from Operation: 99-30=69 Current State: 28:[55, 14, 69], Operations: ['99-30=69'] Exploring Operation: 55-14=41, Resulting Numbers: [69, 41] Generated Node #3: [69, 41] from Operation: 55-14=41 Current State: 28:[69, 41], Operations: ['99-30=69', '55-14=41'] Exploring Operation: 69-41=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 31, 62, 78, 55 ]
70
[ "31+62=93", "78-55=23", "93-23=70" ]
Current State: 70:[31, 62, 78, 55], Operations: [] Exploring Operation: 31+62=93, Resulting Numbers: [78, 55, 93] Generated Node #2: [78, 55, 93] from Operation: 31+62=93 Current State: 70:[78, 55, 93], Operations: ['31+62=93'] Exploring Operation: 78-55=23, Resulting Numbers: [93, 23] Generated Node #3: [93, 23] from Operation: 78-55=23 Current State: 70:[93, 23], Operations: ['31+62=93', '78-55=23'] Exploring Operation: 93-23=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 13, 15, 81, 19 ]
11
[ "19-13=6", "81-15=66", "66/6=11" ]
Current State: 11:[13, 15, 81, 19], Operations: [] Exploring Operation: 19-13=6, Resulting Numbers: [15, 81, 6] Generated Node #2: [15, 81, 6] from Operation: 19-13=6 Current State: 11:[15, 81, 6], Operations: ['19-13=6'] Exploring Operation: 81-15=66, Resulting Numbers: [6, 66] Generated Node #3: [6, 66] from Operation: 81-15=66 Current State: 11:[6, 66], Operations: ['19-13=6', '81-15=66'] Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 46, 18, 33, 50 ]
55
[ "46-18=28", "33+50=83", "83-28=55" ]
Current State: 55:[46, 18, 33, 50], Operations: [] Exploring Operation: 46-18=28, Resulting Numbers: [33, 50, 28] Generated Node #2: [33, 50, 28] from Operation: 46-18=28 Current State: 55:[33, 50, 28], Operations: ['46-18=28'] Exploring Operation: 33+50=83, Resulting Numbers: [28, 83] Generated Node #3: [28, 83] from Operation: 33+50=83 Current State: 55:[28, 83], Operations: ['46-18=28', '33+50=83'] Exploring Operation: 83-28=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 62, 6, 46, 97 ]
14
[ "6*97=582", "62+582=644", "644/46=14" ]
Current State: 14:[62, 6, 46, 97], Operations: [] Exploring Operation: 6*97=582, Resulting Numbers: [62, 46, 582] Generated Node #2: [62, 46, 582] from Operation: 6*97=582 Current State: 14:[62, 46, 582], Operations: ['6*97=582'] Exploring Operation: 62+582=644, Resulting Numbers: [46, 644] Generated Node #3: [46, 644] from Operation: 62+582=644 Current State: 14:[46, 644], Operations: ['6*97=582', '62+582=644'] Exploring Operation: 644/46=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 55, 18, 30, 11 ]
43
[ "55/11=5", "18+30=48", "48-5=43" ]
Current State: 43:[55, 18, 30, 11], Operations: [] Exploring Operation: 55/11=5, Resulting Numbers: [18, 30, 5] Generated Node #2: [18, 30, 5] from Operation: 55/11=5 Current State: 43:[18, 30, 5], Operations: ['55/11=5'] Exploring Operation: 18+30=48, Resulting Numbers: [5, 48] Generated Node #3: [5, 48] from Operation: 18+30=48 Current State: 43:[5, 48], Operations: ['55/11=5', '18+30=48'] Exploring Operation: 48-5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 2, 7, 21, 74 ]
51
[ "74/2=37", "21-7=14", "37+14=51" ]
Current State: 51:[2, 7, 21, 74], Operations: [] Exploring Operation: 74/2=37, Resulting Numbers: [7, 21, 37] Generated Node #2: [7, 21, 37] from Operation: 74/2=37 Current State: 51:[7, 21, 37], Operations: ['74/2=37'] Exploring Operation: 21-7=14, Resulting Numbers: [37, 14] Generated Node #3: [37, 14] from Operation: 21-7=14 Current State: 51:[37, 14], Operations: ['74/2=37', '21-7=14'] Exploring Operation: 37+14=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4