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, 29, 20, 16 ]
90
[ "20-18=2", "29+16=45", "2*45=90" ]
Current State: 90:[18, 29, 20, 16], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [29, 16, 2] Generated Node #2: [29, 16, 2] from Operation: 20-18=2 Current State: 90:[29, 16, 2], Operations: ['20-18=2'] Exploring Operation: 29+16=45, Resulting Numbers: [2, 45] Generated Node #3: [2, 45] from Operation: 29+16=45 Current State: 90:[2, 45], Operations: ['20-18=2', '29+16=45'] Exploring Operation: 2*45=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 3, 3, 87, 99 ]
39
[ "99-87=12", "3*12=36", "3+36=39" ]
Current State: 39:[3, 3, 87, 99], Operations: [] Exploring Operation: 99-87=12, Resulting Numbers: [3, 3, 12] Generated Node #2: [3, 3, 12] from Operation: 99-87=12 Current State: 39:[3, 3, 12], Operations: ['99-87=12'] Exploring Operation: 3*12=36, Resulting Numbers: [36] 36,39 equal: Goal Reached Exploring Operation: 3+36=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 74, 89, 86, 96 ]
42
[ "89-86=3", "96/3=32", "74-32=42" ]
Current State: 42:[74, 89, 86, 96], Operations: [] Exploring Operation: 89-86=3, Resulting Numbers: [74, 96, 3] Generated Node #2: [74, 96, 3] from Operation: 89-86=3 Current State: 42:[74, 96, 3], Operations: ['89-86=3'] Exploring Operation: 96/3=32, Resulting Numbers: [74, 32] Generated Node #3: [74, 32] from Operation: 96/3=32 Current State: 42:[74, 32], Operations: ['89-86=3', '96/3=32'] Exploring Operation: 74-32=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 65, 10, 64, 77 ]
42
[ "65-10=55", "77-64=13", "55-13=42" ]
Current State: 42:[65, 10, 64, 77], Operations: [] Exploring Operation: 65-10=55, Resulting Numbers: [64, 77, 55] Generated Node #2: [64, 77, 55] from Operation: 65-10=55 Current State: 42:[64, 77, 55], Operations: ['65-10=55'] Exploring Operation: 77-64=13, Resulting Numbers: [55, 13] Generated Node #3: [55, 13] from Operation: 77-64=13 Current State: 42:[55, 13], Operations: ['65-10=55', '77-64=13'] Exploring Operation: 55-13=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 57, 74, 60, 3 ]
80
[ "74-57=17", "60+3=63", "17+63=80" ]
Current State: 80:[57, 74, 60, 3], Operations: [] Exploring Operation: 74-57=17, Resulting Numbers: [60, 3, 17] Generated Node #2: [60, 3, 17] from Operation: 74-57=17 Current State: 80:[60, 3, 17], Operations: ['74-57=17'] Exploring Operation: 60+3=63, Resulting Numbers: [17, 63] Generated Node #3: [17, 63] from Operation: 60+3=63 Current State: 80:[17, 63], Operations: ['74-57=17', '60+3=63'] Exploring Operation: 17+63=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 15, 30, 61, 30 ]
59
[ "30-15=15", "30/15=2", "61-2=59" ]
Current State: 59:[15, 30, 61, 30], Operations: [] Exploring Operation: 30-15=15, Resulting Numbers: [61, 15] Generated Node #2: [61, 15] from Operation: 30-15=15 Current State: 59:[61, 15], Operations: ['30-15=15'] Exploring Operation: 30/15=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 30/15=2 Current State: 59:[61, 2], Operations: ['30-15=15', '30/15=2'] Exploring Operation: 61-2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 34, 43, 20, 83 ]
36
[ "83-43=40", "40/20=2", "34+2=36" ]
Current State: 36:[34, 43, 20, 83], Operations: [] Exploring Operation: 83-43=40, Resulting Numbers: [34, 20, 40] Generated Node #2: [34, 20, 40] from Operation: 83-43=40 Current State: 36:[34, 20, 40], Operations: ['83-43=40'] Exploring Operation: 40/20=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 40/20=2 Current State: 36:[34, 2], Operations: ['83-43=40', '40/20=2'] Exploring Operation: 34+2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 14, 47, 8, 55 ]
30
[ "47-14=33", "8+55=63", "63-33=30" ]
Current State: 30:[14, 47, 8, 55], Operations: [] Exploring Operation: 47-14=33, Resulting Numbers: [8, 55, 33] Generated Node #2: [8, 55, 33] from Operation: 47-14=33 Current State: 30:[8, 55, 33], Operations: ['47-14=33'] Exploring Operation: 8+55=63, Resulting Numbers: [33, 63] Generated Node #3: [33, 63] from Operation: 8+55=63 Current State: 30:[33, 63], Operations: ['47-14=33', '8+55=63'] Exploring Operation: 63-33=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 49, 91, 93, 68 ]
38
[ "68-49=19", "93-91=2", "19*2=38" ]
Current State: 38:[49, 91, 93, 68], Operations: [] Exploring Operation: 68-49=19, Resulting Numbers: [91, 93, 19] Generated Node #2: [91, 93, 19] from Operation: 68-49=19 Current State: 38:[91, 93, 19], Operations: ['68-49=19'] Exploring Operation: 93-91=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 93-91=2 Current State: 38:[19, 2], Operations: ['68-49=19', '93-91=2'] Exploring Operation: 19*2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 2, 89, 4, 1 ]
24
[ "89-1=88", "88/4=22", "2+22=24" ]
Current State: 24:[2, 89, 4, 1], Operations: [] Exploring Operation: 89-1=88, Resulting Numbers: [2, 4, 88] Generated Node #2: [2, 4, 88] from Operation: 89-1=88 Current State: 24:[2, 4, 88], Operations: ['89-1=88'] Exploring Operation: 88/4=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 88/4=22 Current State: 24:[2, 22], Operations: ['89-1=88', '88/4=22'] Exploring Operation: 2+22=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 38, 34, 88, 19 ]
78
[ "38/19=2", "88/2=44", "34+44=78" ]
Current State: 78:[38, 34, 88, 19], Operations: [] Exploring Operation: 38/19=2, Resulting Numbers: [34, 88, 2] Generated Node #2: [34, 88, 2] from Operation: 38/19=2 Current State: 78:[34, 88, 2], Operations: ['38/19=2'] Exploring Operation: 88/2=44, Resulting Numbers: [34, 44] Generated Node #3: [34, 44] from Operation: 88/2=44 Current State: 78:[34, 44], Operations: ['38/19=2', '88/2=44'] Exploring Operation: 34+44=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 94, 58, 69, 32 ]
51
[ "94+58=152", "69+32=101", "152-101=51" ]
Current State: 51:[94, 58, 69, 32], Operations: [] Exploring Operation: 94+58=152, Resulting Numbers: [69, 32, 152] Generated Node #2: [69, 32, 152] from Operation: 94+58=152 Current State: 51:[69, 32, 152], Operations: ['94+58=152'] Exploring Operation: 69+32=101, Resulting Numbers: [152, 101] Generated Node #3: [152, 101] from Operation: 69+32=101 Current State: 51:[152, 101], Operations: ['94+58=152', '69+32=101'] Exploring Operation: 152-101=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 81, 51, 17, 59 ]
66
[ "81-59=22", "51/17=3", "22*3=66" ]
Current State: 66:[81, 51, 17, 59], Operations: [] Exploring Operation: 81-59=22, Resulting Numbers: [51, 17, 22] Generated Node #2: [51, 17, 22] from Operation: 81-59=22 Current State: 66:[51, 17, 22], Operations: ['81-59=22'] Exploring Operation: 51/17=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 51/17=3 Current State: 66:[22, 3], Operations: ['81-59=22', '51/17=3'] Exploring Operation: 22*3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 29, 45, 81, 36 ]
36
[ "45-29=16", "81*16=1296", "1296/36=36" ]
Current State: 36:[29, 45, 81, 36], Operations: [] Exploring Operation: 45-29=16, Resulting Numbers: [81, 36, 16] Generated Node #2: [81, 36, 16] from Operation: 45-29=16 Current State: 36:[81, 36, 16], Operations: ['45-29=16'] Exploring Operation: 81*16=1296, Resulting Numbers: [36, 1296] Generated Node #3: [36, 1296] from Operation: 81*16=1296 Current State: 36:[36, 1296], Operations: ['45-29=16', '81*16=1296'] Exploring Operation: 1296/36=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 48, 58, 80, 72 ]
64
[ "58-48=10", "80/10=8", "72-8=64" ]
Current State: 64:[48, 58, 80, 72], Operations: [] Exploring Operation: 58-48=10, Resulting Numbers: [80, 72, 10] Generated Node #2: [80, 72, 10] from Operation: 58-48=10 Current State: 64:[80, 72, 10], Operations: ['58-48=10'] Exploring Operation: 80/10=8, Resulting Numbers: [72, 8] Generated Node #3: [72, 8] from Operation: 80/10=8 Current State: 64:[72, 8], Operations: ['58-48=10', '80/10=8'] Exploring Operation: 72-8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 78, 81, 36, 71 ]
37
[ "81-78=3", "36*3=108", "108-71=37" ]
Current State: 37:[78, 81, 36, 71], Operations: [] Exploring Operation: 81-78=3, Resulting Numbers: [36, 71, 3] Generated Node #2: [36, 71, 3] from Operation: 81-78=3 Current State: 37:[36, 71, 3], Operations: ['81-78=3'] Exploring Operation: 36*3=108, Resulting Numbers: [71, 108] Generated Node #3: [71, 108] from Operation: 36*3=108 Current State: 37:[71, 108], Operations: ['81-78=3', '36*3=108'] Exploring Operation: 108-71=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 74, 32, 63, 76 ]
29
[ "74-32=42", "76-63=13", "42-13=29" ]
Current State: 29:[74, 32, 63, 76], Operations: [] Exploring Operation: 74-32=42, Resulting Numbers: [63, 76, 42] Generated Node #2: [63, 76, 42] from Operation: 74-32=42 Current State: 29:[63, 76, 42], Operations: ['74-32=42'] Exploring Operation: 76-63=13, Resulting Numbers: [42, 13] Generated Node #3: [42, 13] from Operation: 76-63=13 Current State: 29:[42, 13], Operations: ['74-32=42', '76-63=13'] Exploring Operation: 42-13=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 7, 18, 43, 31 ]
15
[ "7*43=301", "301-31=270", "270/18=15" ]
Current State: 15:[7, 18, 43, 31], Operations: [] Exploring Operation: 7*43=301, Resulting Numbers: [18, 31, 301] Generated Node #2: [18, 31, 301] from Operation: 7*43=301 Current State: 15:[18, 31, 301], Operations: ['7*43=301'] Exploring Operation: 301-31=270, Resulting Numbers: [18, 270] Generated Node #3: [18, 270] from Operation: 301-31=270 Current State: 15:[18, 270], Operations: ['7*43=301', '301-31=270'] Exploring Operation: 270/18=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 72, 59, 5, 36 ]
53
[ "59+36=95", "95/5=19", "72-19=53" ]
Current State: 53:[72, 59, 5, 36], Operations: [] Exploring Operation: 59+36=95, Resulting Numbers: [72, 5, 95] Generated Node #2: [72, 5, 95] from Operation: 59+36=95 Current State: 53:[72, 5, 95], Operations: ['59+36=95'] Exploring Operation: 95/5=19, Resulting Numbers: [72, 19] Generated Node #3: [72, 19] from Operation: 95/5=19 Current State: 53:[72, 19], Operations: ['59+36=95', '95/5=19'] Exploring Operation: 72-19=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 2, 53, 6, 97 ]
16
[ "97-53=44", "44/2=22", "22-6=16" ]
Current State: 16:[2, 53, 6, 97], Operations: [] Exploring Operation: 97-53=44, Resulting Numbers: [2, 6, 44] Generated Node #2: [2, 6, 44] from Operation: 97-53=44 Current State: 16:[2, 6, 44], Operations: ['97-53=44'] Exploring Operation: 44/2=22, Resulting Numbers: [6, 22] Generated Node #3: [6, 22] from Operation: 44/2=22 Current State: 16:[6, 22], Operations: ['97-53=44', '44/2=22'] Exploring Operation: 22-6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 70, 79, 66, 57 ]
18
[ "79-70=9", "66-57=9", "9+9=18" ]
Current State: 18:[70, 79, 66, 57], Operations: [] Exploring Operation: 79-70=9, Resulting Numbers: [66, 57, 9] Generated Node #2: [66, 57, 9] from Operation: 79-70=9 Current State: 18:[66, 57, 9], Operations: ['79-70=9'] Exploring Operation: 66-57=9, Resulting Numbers: [9, 9] Generated Node #3: [9, 9] from Operation: 66-57=9 Current State: 18:[9, 9], Operations: ['79-70=9', '66-57=9'] Exploring Operation: 9+9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 65, 21, 47, 23 ]
49
[ "65-23=42", "42/21=2", "47+2=49" ]
Current State: 49:[65, 21, 47, 23], Operations: [] Exploring Operation: 65-23=42, Resulting Numbers: [21, 47, 42] Generated Node #2: [21, 47, 42] from Operation: 65-23=42 Current State: 49:[21, 47, 42], Operations: ['65-23=42'] Exploring Operation: 42/21=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 42/21=2 Current State: 49:[47, 2], Operations: ['65-23=42', '42/21=2'] Exploring Operation: 47+2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 54, 78, 76, 67 ]
94
[ "78-76=2", "54/2=27", "67+27=94" ]
Current State: 94:[54, 78, 76, 67], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [54, 67, 2] Generated Node #2: [54, 67, 2] from Operation: 78-76=2 Current State: 94:[54, 67, 2], Operations: ['78-76=2'] Exploring Operation: 54/2=27, Resulting Numbers: [67, 27] Generated Node #3: [67, 27] from Operation: 54/2=27 Current State: 94:[67, 27], Operations: ['78-76=2', '54/2=27'] Exploring Operation: 67+27=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 24, 7, 75, 52 ]
96
[ "24+7=31", "75+52=127", "127-31=96" ]
Current State: 96:[24, 7, 75, 52], Operations: [] Exploring Operation: 24+7=31, Resulting Numbers: [75, 52, 31] Generated Node #2: [75, 52, 31] from Operation: 24+7=31 Current State: 96:[75, 52, 31], Operations: ['24+7=31'] Exploring Operation: 75+52=127, Resulting Numbers: [31, 127] Generated Node #3: [31, 127] from Operation: 75+52=127 Current State: 96:[31, 127], Operations: ['24+7=31', '75+52=127'] Exploring Operation: 127-31=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 71, 94, 74, 19 ]
70
[ "94-71=23", "74+19=93", "93-23=70" ]
Current State: 70:[71, 94, 74, 19], Operations: [] Exploring Operation: 94-71=23, Resulting Numbers: [74, 19, 23] Generated Node #2: [74, 19, 23] from Operation: 94-71=23 Current State: 70:[74, 19, 23], Operations: ['94-71=23'] Exploring Operation: 74+19=93, Resulting Numbers: [23, 93] Generated Node #3: [23, 93] from Operation: 74+19=93 Current State: 70:[23, 93], Operations: ['94-71=23', '74+19=93'] Exploring Operation: 93-23=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 74, 80, 29, 5 ]
28
[ "80-74=6", "29+5=34", "34-6=28" ]
Current State: 28:[74, 80, 29, 5], Operations: [] Exploring Operation: 80-74=6, Resulting Numbers: [29, 5, 6] Generated Node #2: [29, 5, 6] from Operation: 80-74=6 Current State: 28:[29, 5, 6], Operations: ['80-74=6'] Exploring Operation: 29+5=34, Resulting Numbers: [6, 34] Generated Node #3: [6, 34] from Operation: 29+5=34 Current State: 28:[6, 34], Operations: ['80-74=6', '29+5=34'] Exploring Operation: 34-6=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 53, 45, 79, 1 ]
88
[ "53-45=8", "79+1=80", "8+80=88" ]
Current State: 88:[53, 45, 79, 1], Operations: [] Exploring Operation: 53-45=8, Resulting Numbers: [79, 1, 8] Generated Node #2: [79, 1, 8] from Operation: 53-45=8 Current State: 88:[79, 1, 8], Operations: ['53-45=8'] Exploring Operation: 79+1=80, Resulting Numbers: [8, 80] Generated Node #3: [8, 80] from Operation: 79+1=80 Current State: 88:[8, 80], Operations: ['53-45=8', '79+1=80'] Exploring Operation: 8+80=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 7, 96, 55, 60 ]
62
[ "55-7=48", "96/48=2", "60+2=62" ]
Current State: 62:[7, 96, 55, 60], Operations: [] Exploring Operation: 55-7=48, Resulting Numbers: [96, 60, 48] Generated Node #2: [96, 60, 48] from Operation: 55-7=48 Current State: 62:[96, 60, 48], Operations: ['55-7=48'] Exploring Operation: 96/48=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 96/48=2 Current State: 62:[60, 2], Operations: ['55-7=48', '96/48=2'] Exploring Operation: 60+2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 42, 50, 84, 48 ]
63
[ "42+84=126", "50-48=2", "126/2=63" ]
Current State: 63:[42, 50, 84, 48], Operations: [] Exploring Operation: 42+84=126, Resulting Numbers: [50, 48, 126] Generated Node #2: [50, 48, 126] from Operation: 42+84=126 Current State: 63:[50, 48, 126], Operations: ['42+84=126'] Exploring Operation: 50-48=2, Resulting Numbers: [126, 2] Generated Node #3: [126, 2] from Operation: 50-48=2 Current State: 63:[126, 2], Operations: ['42+84=126', '50-48=2'] Exploring Operation: 126/2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 69, 22, 44, 58 ]
61
[ "69-22=47", "58-44=14", "47+14=61" ]
Current State: 61:[69, 22, 44, 58], Operations: [] Exploring Operation: 69-22=47, Resulting Numbers: [44, 58, 47] Generated Node #2: [44, 58, 47] from Operation: 69-22=47 Current State: 61:[44, 58, 47], Operations: ['69-22=47'] Exploring Operation: 58-44=14, Resulting Numbers: [47, 14] Generated Node #3: [47, 14] from Operation: 58-44=14 Current State: 61:[47, 14], Operations: ['69-22=47', '58-44=14'] Exploring Operation: 47+14=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 98, 35, 80, 85 ]
32
[ "98+35=133", "80+85=165", "165-133=32" ]
Current State: 32:[98, 35, 80, 85], Operations: [] Exploring Operation: 98+35=133, Resulting Numbers: [80, 85, 133] Generated Node #2: [80, 85, 133] from Operation: 98+35=133 Current State: 32:[80, 85, 133], Operations: ['98+35=133'] Exploring Operation: 80+85=165, Resulting Numbers: [133, 165] Generated Node #3: [133, 165] from Operation: 80+85=165 Current State: 32:[133, 165], Operations: ['98+35=133', '80+85=165'] Exploring Operation: 165-133=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 35, 4, 2, 25 ]
73
[ "2+25=27", "4*27=108", "108-35=73" ]
Current State: 73:[35, 4, 2, 25], Operations: [] Exploring Operation: 2+25=27, Resulting Numbers: [35, 4, 27] Generated Node #2: [35, 4, 27] from Operation: 2+25=27 Current State: 73:[35, 4, 27], Operations: ['2+25=27'] Exploring Operation: 4*27=108, Resulting Numbers: [35, 108] Generated Node #3: [35, 108] from Operation: 4*27=108 Current State: 73:[35, 108], Operations: ['2+25=27', '4*27=108'] Exploring Operation: 108-35=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 10, 91, 51, 70 ]
11
[ "91-51=40", "70+40=110", "110/10=11" ]
Current State: 11:[10, 91, 51, 70], Operations: [] Exploring Operation: 91-51=40, Resulting Numbers: [10, 70, 40] Generated Node #2: [10, 70, 40] from Operation: 91-51=40 Current State: 11:[10, 70, 40], Operations: ['91-51=40'] Exploring Operation: 70+40=110, Resulting Numbers: [10, 110] Generated Node #3: [10, 110] from Operation: 70+40=110 Current State: 11:[10, 110], Operations: ['91-51=40', '70+40=110'] Exploring Operation: 110/10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 85, 66, 84, 82 ]
38
[ "85-66=19", "84-82=2", "19*2=38" ]
Current State: 38:[85, 66, 84, 82], Operations: [] Exploring Operation: 85-66=19, Resulting Numbers: [84, 82, 19] Generated Node #2: [84, 82, 19] from Operation: 85-66=19 Current State: 38:[84, 82, 19], Operations: ['85-66=19'] Exploring Operation: 84-82=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 84-82=2 Current State: 38:[19, 2], Operations: ['85-66=19', '84-82=2'] Exploring Operation: 19*2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 37, 33, 46, 40 ]
90
[ "37-33=4", "46+40=86", "4+86=90" ]
Current State: 90:[37, 33, 46, 40], Operations: [] Exploring Operation: 37-33=4, Resulting Numbers: [46, 40, 4] Generated Node #2: [46, 40, 4] from Operation: 37-33=4 Current State: 90:[46, 40, 4], Operations: ['37-33=4'] Exploring Operation: 46+40=86, Resulting Numbers: [4, 86] Generated Node #3: [4, 86] from Operation: 46+40=86 Current State: 90:[4, 86], Operations: ['37-33=4', '46+40=86'] Exploring Operation: 4+86=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 69, 72, 23, 91 ]
71
[ "72-69=3", "91-23=68", "3+68=71" ]
Current State: 71:[69, 72, 23, 91], Operations: [] Exploring Operation: 72-69=3, Resulting Numbers: [23, 91, 3] Generated Node #2: [23, 91, 3] from Operation: 72-69=3 Current State: 71:[23, 91, 3], Operations: ['72-69=3'] Exploring Operation: 91-23=68, Resulting Numbers: [3, 68] Generated Node #3: [3, 68] from Operation: 91-23=68 Current State: 71:[3, 68], Operations: ['72-69=3', '91-23=68'] Exploring Operation: 3+68=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 4, 40, 5, 60 ]
85
[ "60-40=20", "4*20=80", "5+80=85" ]
Current State: 85:[4, 40, 5, 60], Operations: [] Exploring Operation: 60-40=20, Resulting Numbers: [4, 5, 20] Generated Node #2: [4, 5, 20] from Operation: 60-40=20 Current State: 85:[4, 5, 20], Operations: ['60-40=20'] Exploring Operation: 4*20=80, Resulting Numbers: [5, 80] Generated Node #3: [5, 80] from Operation: 4*20=80 Current State: 85:[5, 80], Operations: ['60-40=20', '4*20=80'] Exploring Operation: 5+80=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 99, 58, 32, 93 ]
32
[ "99+58=157", "32+93=125", "157-125=32" ]
Current State: 32:[99, 58, 32, 93], Operations: [] Exploring Operation: 99+58=157, Resulting Numbers: [32, 93, 157] Generated Node #2: [32, 93, 157] from Operation: 99+58=157 Current State: 32:[32, 93, 157], Operations: ['99+58=157'] Exploring Operation: 32+93=125, Resulting Numbers: [157, 125] Generated Node #3: [157, 125] from Operation: 32+93=125 Current State: 32:[157, 125], Operations: ['99+58=157', '32+93=125'] Exploring Operation: 157-125=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 59, 33, 3, 81 ]
24
[ "59*33=1947", "1947-3=1944", "1944/81=24" ]
Current State: 24:[59, 33, 3, 81], Operations: [] Exploring Operation: 59*33=1947, Resulting Numbers: [3, 81, 1947] Generated Node #2: [3, 81, 1947] from Operation: 59*33=1947 Current State: 24:[3, 81, 1947], Operations: ['59*33=1947'] Exploring Operation: 1947-3=1944, Resulting Numbers: [81, 1944] Generated Node #3: [81, 1944] from Operation: 1947-3=1944 Current State: 24:[81, 1944], Operations: ['59*33=1947', '1947-3=1944'] Exploring Operation: 1944/81=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 29, 43, 78, 11 ]
75
[ "43-29=14", "78+11=89", "89-14=75" ]
Current State: 75:[29, 43, 78, 11], Operations: [] Exploring Operation: 43-29=14, Resulting Numbers: [78, 11, 14] Generated Node #2: [78, 11, 14] from Operation: 43-29=14 Current State: 75:[78, 11, 14], Operations: ['43-29=14'] Exploring Operation: 78+11=89, Resulting Numbers: [14, 89] Generated Node #3: [14, 89] from Operation: 78+11=89 Current State: 75:[14, 89], Operations: ['43-29=14', '78+11=89'] Exploring Operation: 89-14=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 71, 61, 6, 98 ]
76
[ "71+61=132", "132/6=22", "98-22=76" ]
Current State: 76:[71, 61, 6, 98], Operations: [] Exploring Operation: 71+61=132, Resulting Numbers: [6, 98, 132] Generated Node #2: [6, 98, 132] from Operation: 71+61=132 Current State: 76:[6, 98, 132], Operations: ['71+61=132'] Exploring Operation: 132/6=22, Resulting Numbers: [98, 22] Generated Node #3: [98, 22] from Operation: 132/6=22 Current State: 76:[98, 22], Operations: ['71+61=132', '132/6=22'] Exploring Operation: 98-22=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 40, 54, 27, 64 ]
12
[ "64-40=24", "54/27=2", "24/2=12" ]
Current State: 12:[40, 54, 27, 64], Operations: [] Exploring Operation: 64-40=24, Resulting Numbers: [54, 27, 24] Generated Node #2: [54, 27, 24] from Operation: 64-40=24 Current State: 12:[54, 27, 24], Operations: ['64-40=24'] Exploring Operation: 54/27=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 54/27=2 Current State: 12:[24, 2], Operations: ['64-40=24', '54/27=2'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 4, 36, 7, 44 ]
46
[ "36/4=9", "44-7=37", "9+37=46" ]
Current State: 46:[4, 36, 7, 44], Operations: [] Exploring Operation: 36/4=9, Resulting Numbers: [7, 44, 9] Generated Node #2: [7, 44, 9] from Operation: 36/4=9 Current State: 46:[7, 44, 9], Operations: ['36/4=9'] Exploring Operation: 44-7=37, Resulting Numbers: [9, 37] Generated Node #3: [9, 37] from Operation: 44-7=37 Current State: 46:[9, 37], Operations: ['36/4=9', '44-7=37'] Exploring Operation: 9+37=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 59, 40, 79, 4 ]
64
[ "59-40=19", "79+4=83", "83-19=64" ]
Current State: 64:[59, 40, 79, 4], Operations: [] Exploring Operation: 59-40=19, Resulting Numbers: [79, 4, 19] Generated Node #2: [79, 4, 19] from Operation: 59-40=19 Current State: 64:[79, 4, 19], Operations: ['59-40=19'] Exploring Operation: 79+4=83, Resulting Numbers: [19, 83] Generated Node #3: [19, 83] from Operation: 79+4=83 Current State: 64:[19, 83], Operations: ['59-40=19', '79+4=83'] Exploring Operation: 83-19=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 53, 45, 77, 37 ]
79
[ "53+37=90", "90/45=2", "77+2=79" ]
Current State: 79:[53, 45, 77, 37], Operations: [] Exploring Operation: 53+37=90, Resulting Numbers: [45, 77, 90] Generated Node #2: [45, 77, 90] from Operation: 53+37=90 Current State: 79:[45, 77, 90], Operations: ['53+37=90'] Exploring Operation: 90/45=2, Resulting Numbers: [77, 2] Generated Node #3: [77, 2] from Operation: 90/45=2 Current State: 79:[77, 2], Operations: ['53+37=90', '90/45=2'] Exploring Operation: 77+2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 8, 78, 62, 8 ]
78
[ "8-8=0", "62*0=0", "78+0=78" ]
Current State: 78:[8, 78, 62, 8], Operations: [] Exploring Operation: 8-8=0, Resulting Numbers: [78, 62, 0] Generated Node #2: [78, 62, 0] from Operation: 8-8=0 Current State: 78:[78, 62, 0], Operations: ['8-8=0'] Exploring Operation: 62*0=0, Resulting Numbers: [78, 0] Generated Node #3: [78, 0] from Operation: 62*0=0 Current State: 78:[78, 0], Operations: ['8-8=0', '62*0=0'] Exploring Operation: 78+0=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 54, 45, 47, 28 ]
55
[ "47-45=2", "54/2=27", "28+27=55" ]
Current State: 55:[54, 45, 47, 28], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [54, 28, 2] Generated Node #2: [54, 28, 2] from Operation: 47-45=2 Current State: 55:[54, 28, 2], Operations: ['47-45=2'] Exploring Operation: 54/2=27, Resulting Numbers: [28, 27] Generated Node #3: [28, 27] from Operation: 54/2=27 Current State: 55:[28, 27], Operations: ['47-45=2', '54/2=27'] Exploring Operation: 28+27=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 51, 58, 42, 74 ]
68
[ "58-51=7", "42/7=6", "74-6=68" ]
Current State: 68:[51, 58, 42, 74], Operations: [] Exploring Operation: 58-51=7, Resulting Numbers: [42, 74, 7] Generated Node #2: [42, 74, 7] from Operation: 58-51=7 Current State: 68:[42, 74, 7], Operations: ['58-51=7'] Exploring Operation: 42/7=6, Resulting Numbers: [74, 6] Generated Node #3: [74, 6] from Operation: 42/7=6 Current State: 68:[74, 6], Operations: ['58-51=7', '42/7=6'] Exploring Operation: 74-6=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 9, 64, 95, 89 ]
76
[ "89-9=80", "64*95=6080", "6080/80=76" ]
Current State: 76:[9, 64, 95, 89], Operations: [] Exploring Operation: 89-9=80, Resulting Numbers: [64, 95, 80] Generated Node #2: [64, 95, 80] from Operation: 89-9=80 Current State: 76:[64, 95, 80], Operations: ['89-9=80'] Exploring Operation: 64*95=6080, Resulting Numbers: [80, 6080] Generated Node #3: [80, 6080] from Operation: 64*95=6080 Current State: 76:[80, 6080], Operations: ['89-9=80', '64*95=6080'] Exploring Operation: 6080/80=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 83, 20, 20, 49 ]
49
[ "20-20=0", "83*0=0", "49+0=49" ]
Current State: 49:[83, 20, 20, 49], Operations: [] Exploring Operation: 20-20=0, Resulting Numbers: [83, 49, 0] Generated Node #2: [83, 49, 0] from Operation: 20-20=0 Current State: 49:[83, 49, 0], Operations: ['20-20=0'] Exploring Operation: 83*0=0, Resulting Numbers: [49, 0] Generated Node #3: [49, 0] from Operation: 83*0=0 Current State: 49:[49, 0], Operations: ['20-20=0', '83*0=0'] Exploring Operation: 49+0=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 56, 50, 82, 84 ]
12
[ "56-50=6", "84-82=2", "6*2=12" ]
Current State: 12:[56, 50, 82, 84], Operations: [] Exploring Operation: 56-50=6, Resulting Numbers: [82, 84, 6] Generated Node #2: [82, 84, 6] from Operation: 56-50=6 Current State: 12:[82, 84, 6], Operations: ['56-50=6'] Exploring Operation: 84-82=2, Resulting Numbers: [6, 2] Generated Node #3: [6, 2] from Operation: 84-82=2 Current State: 12:[6, 2], Operations: ['56-50=6', '84-82=2'] Exploring Operation: 6*2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 2, 30, 54, 20 ]
29
[ "30+20=50", "50/2=25", "54-25=29" ]
Current State: 29:[2, 30, 54, 20], Operations: [] Exploring Operation: 30+20=50, Resulting Numbers: [2, 54, 50] Generated Node #2: [2, 54, 50] from Operation: 30+20=50 Current State: 29:[2, 54, 50], Operations: ['30+20=50'] Exploring Operation: 50/2=25, Resulting Numbers: [54, 25] Generated Node #3: [54, 25] from Operation: 50/2=25 Current State: 29:[54, 25], Operations: ['30+20=50', '50/2=25'] Exploring Operation: 54-25=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 38, 40, 27, 19 ]
33
[ "27-19=8", "40/8=5", "38-5=33" ]
Current State: 33:[38, 40, 27, 19], Operations: [] Exploring Operation: 27-19=8, Resulting Numbers: [38, 40, 8] Generated Node #2: [38, 40, 8] from Operation: 27-19=8 Current State: 33:[38, 40, 8], Operations: ['27-19=8'] Exploring Operation: 40/8=5, Resulting Numbers: [38, 5] Generated Node #3: [38, 5] from Operation: 40/8=5 Current State: 33:[38, 5], Operations: ['27-19=8', '40/8=5'] Exploring Operation: 38-5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 3, 57, 37, 45 ]
63
[ "57/3=19", "37+45=82", "82-19=63" ]
Current State: 63:[3, 57, 37, 45], Operations: [] Exploring Operation: 57/3=19, Resulting Numbers: [37, 45, 19] Generated Node #2: [37, 45, 19] from Operation: 57/3=19 Current State: 63:[37, 45, 19], Operations: ['57/3=19'] Exploring Operation: 37+45=82, Resulting Numbers: [19, 82] Generated Node #3: [19, 82] from Operation: 37+45=82 Current State: 63:[19, 82], Operations: ['57/3=19', '37+45=82'] Exploring Operation: 82-19=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 41, 65, 75, 40 ]
38
[ "65-40=25", "75/25=3", "41-3=38" ]
Current State: 38:[41, 65, 75, 40], Operations: [] Exploring Operation: 65-40=25, Resulting Numbers: [41, 75, 25] Generated Node #2: [41, 75, 25] from Operation: 65-40=25 Current State: 38:[41, 75, 25], Operations: ['65-40=25'] Exploring Operation: 75/25=3, Resulting Numbers: [41, 3] Generated Node #3: [41, 3] from Operation: 75/25=3 Current State: 38:[41, 3], Operations: ['65-40=25', '75/25=3'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 70, 53, 5, 36 ]
24
[ "70-53=17", "5+36=41", "41-17=24" ]
Current State: 24:[70, 53, 5, 36], Operations: [] Exploring Operation: 70-53=17, Resulting Numbers: [5, 36, 17] Generated Node #2: [5, 36, 17] from Operation: 70-53=17 Current State: 24:[5, 36, 17], Operations: ['70-53=17'] Exploring Operation: 5+36=41, Resulting Numbers: [17, 41] Generated Node #3: [17, 41] from Operation: 5+36=41 Current State: 24:[17, 41], Operations: ['70-53=17', '5+36=41'] Exploring Operation: 41-17=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 60, 93, 88, 11 ]
25
[ "93-60=33", "88/11=8", "33-8=25" ]
Current State: 25:[60, 93, 88, 11], Operations: [] Exploring Operation: 93-60=33, Resulting Numbers: [88, 11, 33] Generated Node #2: [88, 11, 33] from Operation: 93-60=33 Current State: 25:[88, 11, 33], Operations: ['93-60=33'] Exploring Operation: 88/11=8, Resulting Numbers: [33, 8] Generated Node #3: [33, 8] from Operation: 88/11=8 Current State: 25:[33, 8], Operations: ['93-60=33', '88/11=8'] Exploring Operation: 33-8=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 4, 17, 59, 10 ]
49
[ "17+10=27", "4*27=108", "108-59=49" ]
Current State: 49:[4, 17, 59, 10], Operations: [] Exploring Operation: 17+10=27, Resulting Numbers: [4, 59, 27] Generated Node #2: [4, 59, 27] from Operation: 17+10=27 Current State: 49:[4, 59, 27], Operations: ['17+10=27'] Exploring Operation: 4*27=108, Resulting Numbers: [59, 108] Generated Node #3: [59, 108] from Operation: 4*27=108 Current State: 49:[59, 108], Operations: ['17+10=27', '4*27=108'] Exploring Operation: 108-59=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 9, 4, 8, 20 ]
58
[ "9+20=29", "8/4=2", "29*2=58" ]
Current State: 58:[9, 4, 8, 20], Operations: [] Exploring Operation: 9+20=29, Resulting Numbers: [4, 8, 29] Generated Node #2: [4, 8, 29] from Operation: 9+20=29 Current State: 58:[4, 8, 29], Operations: ['9+20=29'] Exploring Operation: 8/4=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 8/4=2 Current State: 58:[29, 2], Operations: ['9+20=29', '8/4=2'] Exploring Operation: 29*2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 50, 9, 7, 38 ]
55
[ "7+38=45", "45/9=5", "50+5=55" ]
Current State: 55:[50, 9, 7, 38], Operations: [] Exploring Operation: 7+38=45, Resulting Numbers: [50, 9, 45] Generated Node #2: [50, 9, 45] from Operation: 7+38=45 Current State: 55:[50, 9, 45], Operations: ['7+38=45'] Exploring Operation: 45/9=5, Resulting Numbers: [50, 5] Generated Node #3: [50, 5] from Operation: 45/9=5 Current State: 55:[50, 5], Operations: ['7+38=45', '45/9=5'] Exploring Operation: 50+5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 46, 82, 60, 44 ]
44
[ "46-44=2", "82-60=22", "2*22=44" ]
Current State: 44:[46, 82, 60, 44], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [82, 60, 2] Generated Node #2: [82, 60, 2] from Operation: 46-44=2 Current State: 44:[82, 60, 2], Operations: ['46-44=2'] Exploring Operation: 82-60=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 82-60=22 Current State: 44:[2, 22], Operations: ['46-44=2', '82-60=22'] Exploring Operation: 2*22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 68, 7, 41, 13 ]
89
[ "68-7=61", "41-13=28", "61+28=89" ]
Current State: 89:[68, 7, 41, 13], Operations: [] Exploring Operation: 68-7=61, Resulting Numbers: [41, 13, 61] Generated Node #2: [41, 13, 61] from Operation: 68-7=61 Current State: 89:[41, 13, 61], Operations: ['68-7=61'] Exploring Operation: 41-13=28, Resulting Numbers: [61, 28] Generated Node #3: [61, 28] from Operation: 41-13=28 Current State: 89:[61, 28], Operations: ['68-7=61', '41-13=28'] Exploring Operation: 61+28=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 9, 60, 9, 16 ]
62
[ "9+60=69", "16-9=7", "69-7=62" ]
Current State: 62:[9, 60, 9, 16], Operations: [] Exploring Operation: 9+60=69, Resulting Numbers: [16, 69] Generated Node #2: [16, 69] from Operation: 9+60=69 Current State: 62:[16, 69], Operations: ['9+60=69'] Exploring Operation: 16-9=7, Resulting Numbers: [69, 7] Generated Node #3: [69, 7] from Operation: 16-9=7 Current State: 62:[69, 7], Operations: ['9+60=69', '16-9=7'] Exploring Operation: 69-7=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 34, 95, 35, 34 ]
35
[ "34-34=0", "95*0=0", "35+0=35" ]
Current State: 35:[34, 95, 35, 34], Operations: [] Exploring Operation: 34-34=0, Resulting Numbers: [95, 35, 0] Generated Node #2: [95, 35, 0] from Operation: 34-34=0 Current State: 35:[95, 35, 0], Operations: ['34-34=0'] Exploring Operation: 95*0=0, Resulting Numbers: [35, 0] Generated Node #3: [35, 0] from Operation: 95*0=0 Current State: 35:[35, 0], Operations: ['34-34=0', '95*0=0'] Exploring Operation: 35+0=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 56, 36, 25, 76 ]
12
[ "56+76=132", "36-25=11", "132/11=12" ]
Current State: 12:[56, 36, 25, 76], Operations: [] Exploring Operation: 56+76=132, Resulting Numbers: [36, 25, 132] Generated Node #2: [36, 25, 132] from Operation: 56+76=132 Current State: 12:[36, 25, 132], Operations: ['56+76=132'] Exploring Operation: 36-25=11, Resulting Numbers: [132, 11] Generated Node #3: [132, 11] from Operation: 36-25=11 Current State: 12:[132, 11], Operations: ['56+76=132', '36-25=11'] Exploring Operation: 132/11=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 83, 27, 58, 55 ]
59
[ "83-27=56", "58-55=3", "56+3=59" ]
Current State: 59:[83, 27, 58, 55], Operations: [] Exploring Operation: 83-27=56, Resulting Numbers: [58, 55, 56] Generated Node #2: [58, 55, 56] from Operation: 83-27=56 Current State: 59:[58, 55, 56], Operations: ['83-27=56'] Exploring Operation: 58-55=3, Resulting Numbers: [56, 3] Generated Node #3: [56, 3] from Operation: 58-55=3 Current State: 59:[56, 3], Operations: ['83-27=56', '58-55=3'] Exploring Operation: 56+3=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 41, 82, 12, 79 ]
55
[ "82/41=2", "12*2=24", "79-24=55" ]
Current State: 55:[41, 82, 12, 79], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [12, 79, 2] Generated Node #2: [12, 79, 2] from Operation: 82/41=2 Current State: 55:[12, 79, 2], Operations: ['82/41=2'] Exploring Operation: 12*2=24, Resulting Numbers: [79, 24] Generated Node #3: [79, 24] from Operation: 12*2=24 Current State: 55:[79, 24], Operations: ['82/41=2', '12*2=24'] Exploring Operation: 79-24=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 50, 35, 8, 16 ]
77
[ "50+35=85", "16-8=8", "85-8=77" ]
Current State: 77:[50, 35, 8, 16], Operations: [] Exploring Operation: 50+35=85, Resulting Numbers: [8, 16, 85] Generated Node #2: [8, 16, 85] from Operation: 50+35=85 Current State: 77:[8, 16, 85], Operations: ['50+35=85'] Exploring Operation: 16-8=8, Resulting Numbers: [85, 8] Generated Node #3: [85, 8] from Operation: 16-8=8 Current State: 77:[85, 8], Operations: ['50+35=85', '16-8=8'] Exploring Operation: 85-8=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 81, 53, 76, 19 ]
24
[ "81-53=28", "76/19=4", "28-4=24" ]
Current State: 24:[81, 53, 76, 19], Operations: [] Exploring Operation: 81-53=28, Resulting Numbers: [76, 19, 28] Generated Node #2: [76, 19, 28] from Operation: 81-53=28 Current State: 24:[76, 19, 28], Operations: ['81-53=28'] Exploring Operation: 76/19=4, Resulting Numbers: [28, 4] Generated Node #3: [28, 4] from Operation: 76/19=4 Current State: 24:[28, 4], Operations: ['81-53=28', '76/19=4'] Exploring Operation: 28-4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 52, 67, 28, 23 ]
67
[ "52-28=24", "24-23=1", "67*1=67" ]
Current State: 67:[52, 67, 28, 23], Operations: [] Exploring Operation: 52-28=24, Resulting Numbers: [67, 23, 24] Generated Node #2: [67, 23, 24] from Operation: 52-28=24 Current State: 67:[67, 23, 24], Operations: ['52-28=24'] Exploring Operation: 24-23=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 24-23=1 Current State: 67:[67, 1], Operations: ['52-28=24', '24-23=1'] Exploring Operation: 67*1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 23, 33, 12, 80 ]
37
[ "12+80=92", "92/23=4", "33+4=37" ]
Current State: 37:[23, 33, 12, 80], Operations: [] Exploring Operation: 12+80=92, Resulting Numbers: [23, 33, 92] Generated Node #2: [23, 33, 92] from Operation: 12+80=92 Current State: 37:[23, 33, 92], Operations: ['12+80=92'] Exploring Operation: 92/23=4, Resulting Numbers: [33, 4] Generated Node #3: [33, 4] from Operation: 92/23=4 Current State: 37:[33, 4], Operations: ['12+80=92', '92/23=4'] Exploring Operation: 33+4=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 72, 8, 32, 8 ]
88
[ "72-8=64", "32-8=24", "64+24=88" ]
Current State: 88:[72, 8, 32, 8], Operations: [] Exploring Operation: 72-8=64, Resulting Numbers: [32, 64] Generated Node #2: [32, 64] from Operation: 72-8=64 Current State: 88:[32, 64], Operations: ['72-8=64'] Exploring Operation: 32-8=24, Resulting Numbers: [64, 24] Generated Node #3: [64, 24] from Operation: 32-8=24 Current State: 88:[64, 24], Operations: ['72-8=64', '32-8=24'] Exploring Operation: 64+24=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 70, 30, 45, 88 ]
33
[ "70+30=100", "45+88=133", "133-100=33" ]
Current State: 33:[70, 30, 45, 88], Operations: [] Exploring Operation: 70+30=100, Resulting Numbers: [45, 88, 100] Generated Node #2: [45, 88, 100] from Operation: 70+30=100 Current State: 33:[45, 88, 100], Operations: ['70+30=100'] Exploring Operation: 45+88=133, Resulting Numbers: [100, 133] Generated Node #3: [100, 133] from Operation: 45+88=133 Current State: 33:[100, 133], Operations: ['70+30=100', '45+88=133'] Exploring Operation: 133-100=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 25, 62, 67, 7 ]
10
[ "67-62=5", "7*5=35", "35-25=10" ]
Current State: 10:[25, 62, 67, 7], Operations: [] Exploring Operation: 67-62=5, Resulting Numbers: [25, 7, 5] Generated Node #2: [25, 7, 5] from Operation: 67-62=5 Current State: 10:[25, 7, 5], Operations: ['67-62=5'] Exploring Operation: 7*5=35, Resulting Numbers: [25, 35] Generated Node #3: [25, 35] from Operation: 7*5=35 Current State: 10:[25, 35], Operations: ['67-62=5', '7*5=35'] Exploring Operation: 35-25=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 36, 36, 34, 32 ]
50
[ "36-34=2", "36/2=18", "32+18=50" ]
Current State: 50:[36, 36, 34, 32], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [32, 2] Generated Node #2: [32, 2] from Operation: 36-34=2 Current State: 50:[32, 2], Operations: ['36-34=2'] Exploring Operation: 36/2=18, Resulting Numbers: [32, 18] Generated Node #3: [32, 18] from Operation: 36/2=18 Current State: 50:[32, 18], Operations: ['36-34=2', '36/2=18'] Exploring Operation: 32+18=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 73, 85, 93, 90 ]
98
[ "90-73=17", "85/17=5", "93+5=98" ]
Current State: 98:[73, 85, 93, 90], Operations: [] Exploring Operation: 90-73=17, Resulting Numbers: [85, 93, 17] Generated Node #2: [85, 93, 17] from Operation: 90-73=17 Current State: 98:[85, 93, 17], Operations: ['90-73=17'] Exploring Operation: 85/17=5, Resulting Numbers: [93, 5] Generated Node #3: [93, 5] from Operation: 85/17=5 Current State: 98:[93, 5], Operations: ['90-73=17', '85/17=5'] Exploring Operation: 93+5=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 83, 22, 48, 16 ]
58
[ "83-22=61", "48/16=3", "61-3=58" ]
Current State: 58:[83, 22, 48, 16], Operations: [] Exploring Operation: 83-22=61, Resulting Numbers: [48, 16, 61] Generated Node #2: [48, 16, 61] from Operation: 83-22=61 Current State: 58:[48, 16, 61], Operations: ['83-22=61'] Exploring Operation: 48/16=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 48/16=3 Current State: 58:[61, 3], Operations: ['83-22=61', '48/16=3'] Exploring Operation: 61-3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 91, 13, 4, 24 ]
68
[ "91/13=7", "24-7=17", "4*17=68" ]
Current State: 68:[91, 13, 4, 24], Operations: [] Exploring Operation: 91/13=7, Resulting Numbers: [4, 24, 7] Generated Node #2: [4, 24, 7] from Operation: 91/13=7 Current State: 68:[4, 24, 7], Operations: ['91/13=7'] Exploring Operation: 24-7=17, Resulting Numbers: [4, 17] Generated Node #3: [4, 17] from Operation: 24-7=17 Current State: 68:[4, 17], Operations: ['91/13=7', '24-7=17'] Exploring Operation: 4*17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 3, 88, 15, 44 ]
32
[ "3+88=91", "15+44=59", "91-59=32" ]
Current State: 32:[3, 88, 15, 44], Operations: [] Exploring Operation: 3+88=91, Resulting Numbers: [15, 44, 91] Generated Node #2: [15, 44, 91] from Operation: 3+88=91 Current State: 32:[15, 44, 91], Operations: ['3+88=91'] Exploring Operation: 15+44=59, Resulting Numbers: [91, 59] Generated Node #3: [91, 59] from Operation: 15+44=59 Current State: 32:[91, 59], Operations: ['3+88=91', '15+44=59'] Exploring Operation: 91-59=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 58, 8, 89, 4 ]
19
[ "58+8=66", "89-4=85", "85-66=19" ]
Current State: 19:[58, 8, 89, 4], Operations: [] Exploring Operation: 58+8=66, Resulting Numbers: [89, 4, 66] Generated Node #2: [89, 4, 66] from Operation: 58+8=66 Current State: 19:[89, 4, 66], Operations: ['58+8=66'] Exploring Operation: 89-4=85, Resulting Numbers: [66, 85] Generated Node #3: [66, 85] from Operation: 89-4=85 Current State: 19:[66, 85], Operations: ['58+8=66', '89-4=85'] Exploring Operation: 85-66=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 20, 23, 2, 81 ]
49
[ "81-23=58", "58/2=29", "20+29=49" ]
Current State: 49:[20, 23, 2, 81], Operations: [] Exploring Operation: 81-23=58, Resulting Numbers: [20, 2, 58] Generated Node #2: [20, 2, 58] from Operation: 81-23=58 Current State: 49:[20, 2, 58], Operations: ['81-23=58'] Exploring Operation: 58/2=29, Resulting Numbers: [20, 29] Generated Node #3: [20, 29] from Operation: 58/2=29 Current State: 49:[20, 29], Operations: ['81-23=58', '58/2=29'] Exploring Operation: 20+29=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 31, 1, 26, 86 ]
29
[ "31*1=31", "86-26=60", "60-31=29" ]
Current State: 29:[31, 1, 26, 86], Operations: [] Exploring Operation: 31*1=31, Resulting Numbers: [26, 86, 31] Generated Node #2: [26, 86, 31] from Operation: 31*1=31 Current State: 29:[26, 86, 31], Operations: ['31*1=31'] Exploring Operation: 86-26=60, Resulting Numbers: [31, 60] Generated Node #3: [31, 60] from Operation: 86-26=60 Current State: 29:[31, 60], Operations: ['31*1=31', '86-26=60'] Exploring Operation: 60-31=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 72, 50, 36, 47 ]
11
[ "72-50=22", "47-36=11", "22-11=11" ]
Current State: 11:[72, 50, 36, 47], Operations: [] Exploring Operation: 72-50=22, Resulting Numbers: [36, 47, 22] Generated Node #2: [36, 47, 22] from Operation: 72-50=22 Current State: 11:[36, 47, 22], Operations: ['72-50=22'] Exploring Operation: 47-36=11, Resulting Numbers: [22, 11] Generated Node #3: [22, 11] from Operation: 47-36=11 Current State: 11:[22, 11], Operations: ['72-50=22', '47-36=11'] Exploring Operation: 22-11=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 76, 78, 54, 73 ]
60
[ "76-73=3", "54/3=18", "78-18=60" ]
Current State: 60:[76, 78, 54, 73], Operations: [] Exploring Operation: 76-73=3, Resulting Numbers: [78, 54, 3] Generated Node #2: [78, 54, 3] from Operation: 76-73=3 Current State: 60:[78, 54, 3], Operations: ['76-73=3'] Exploring Operation: 54/3=18, Resulting Numbers: [78, 18] Generated Node #3: [78, 18] from Operation: 54/3=18 Current State: 60:[78, 18], Operations: ['76-73=3', '54/3=18'] Exploring Operation: 78-18=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 49, 47, 74, 50 ]
62
[ "49-47=2", "74+50=124", "124/2=62" ]
Current State: 62:[49, 47, 74, 50], Operations: [] Exploring Operation: 49-47=2, Resulting Numbers: [74, 50, 2] Generated Node #2: [74, 50, 2] from Operation: 49-47=2 Current State: 62:[74, 50, 2], Operations: ['49-47=2'] Exploring Operation: 74+50=124, Resulting Numbers: [2, 124] Generated Node #3: [2, 124] from Operation: 74+50=124 Current State: 62:[2, 124], Operations: ['49-47=2', '74+50=124'] Exploring Operation: 124/2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 88, 8, 97, 81 ]
41
[ "88-81=7", "8*7=56", "97-56=41" ]
Current State: 41:[88, 8, 97, 81], Operations: [] Exploring Operation: 88-81=7, Resulting Numbers: [8, 97, 7] Generated Node #2: [8, 97, 7] from Operation: 88-81=7 Current State: 41:[8, 97, 7], Operations: ['88-81=7'] Exploring Operation: 8*7=56, Resulting Numbers: [97, 56] Generated Node #3: [97, 56] from Operation: 8*7=56 Current State: 41:[97, 56], Operations: ['88-81=7', '8*7=56'] Exploring Operation: 97-56=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 32, 84, 74, 39 ]
37
[ "74-32=42", "84/42=2", "39-2=37" ]
Current State: 37:[32, 84, 74, 39], Operations: [] Exploring Operation: 74-32=42, Resulting Numbers: [84, 39, 42] Generated Node #2: [84, 39, 42] from Operation: 74-32=42 Current State: 37:[84, 39, 42], Operations: ['74-32=42'] Exploring Operation: 84/42=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 84/42=2 Current State: 37:[39, 2], Operations: ['74-32=42', '84/42=2'] Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 10, 19, 40, 23 ]
99
[ "40/10=4", "19*4=76", "23+76=99" ]
Current State: 99:[10, 19, 40, 23], Operations: [] Exploring Operation: 40/10=4, Resulting Numbers: [19, 23, 4] Generated Node #2: [19, 23, 4] from Operation: 40/10=4 Current State: 99:[19, 23, 4], Operations: ['40/10=4'] Exploring Operation: 19*4=76, Resulting Numbers: [23, 76] Generated Node #3: [23, 76] from Operation: 19*4=76 Current State: 99:[23, 76], Operations: ['40/10=4', '19*4=76'] Exploring Operation: 23+76=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 92, 8, 98, 2 ]
70
[ "92-8=84", "2*84=168", "168-98=70" ]
Current State: 70:[92, 8, 98, 2], Operations: [] Exploring Operation: 92-8=84, Resulting Numbers: [98, 2, 84] Generated Node #2: [98, 2, 84] from Operation: 92-8=84 Current State: 70:[98, 2, 84], Operations: ['92-8=84'] Exploring Operation: 2*84=168, Resulting Numbers: [98, 168] Generated Node #3: [98, 168] from Operation: 2*84=168 Current State: 70:[98, 168], Operations: ['92-8=84', '2*84=168'] Exploring Operation: 168-98=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 89, 24, 34, 91 ]
82
[ "91-89=2", "24*2=48", "34+48=82" ]
Current State: 82:[89, 24, 34, 91], Operations: [] Exploring Operation: 91-89=2, Resulting Numbers: [24, 34, 2] Generated Node #2: [24, 34, 2] from Operation: 91-89=2 Current State: 82:[24, 34, 2], Operations: ['91-89=2'] Exploring Operation: 24*2=48, Resulting Numbers: [34, 48] Generated Node #3: [34, 48] from Operation: 24*2=48 Current State: 82:[34, 48], Operations: ['91-89=2', '24*2=48'] Exploring Operation: 34+48=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 52, 54, 18, 24 ]
20
[ "54/18=3", "24*3=72", "72-52=20" ]
Current State: 20:[52, 54, 18, 24], Operations: [] Exploring Operation: 54/18=3, Resulting Numbers: [52, 24, 3] Generated Node #2: [52, 24, 3] from Operation: 54/18=3 Current State: 20:[52, 24, 3], Operations: ['54/18=3'] Exploring Operation: 24*3=72, Resulting Numbers: [52, 72] Generated Node #3: [52, 72] from Operation: 24*3=72 Current State: 20:[52, 72], Operations: ['54/18=3', '24*3=72'] Exploring Operation: 72-52=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 9, 63, 97, 5 ]
40
[ "9-5=4", "63+97=160", "160/4=40" ]
Current State: 40:[9, 63, 97, 5], Operations: [] Exploring Operation: 9-5=4, Resulting Numbers: [63, 97, 4] Generated Node #2: [63, 97, 4] from Operation: 9-5=4 Current State: 40:[63, 97, 4], Operations: ['9-5=4'] Exploring Operation: 63+97=160, Resulting Numbers: [4, 160] Generated Node #3: [4, 160] from Operation: 63+97=160 Current State: 40:[4, 160], Operations: ['9-5=4', '63+97=160'] Exploring Operation: 160/4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 14, 44, 89, 2 ]
27
[ "14+44=58", "2*58=116", "116-89=27" ]
Current State: 27:[14, 44, 89, 2], Operations: [] Exploring Operation: 14+44=58, Resulting Numbers: [89, 2, 58] Generated Node #2: [89, 2, 58] from Operation: 14+44=58 Current State: 27:[89, 2, 58], Operations: ['14+44=58'] Exploring Operation: 2*58=116, Resulting Numbers: [89, 116] Generated Node #3: [89, 116] from Operation: 2*58=116 Current State: 27:[89, 116], Operations: ['14+44=58', '2*58=116'] Exploring Operation: 116-89=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 1, 43, 91, 73 ]
62
[ "1+43=44", "91-73=18", "44+18=62" ]
Current State: 62:[1, 43, 91, 73], Operations: [] Exploring Operation: 1+43=44, Resulting Numbers: [91, 73, 44] Generated Node #2: [91, 73, 44] from Operation: 1+43=44 Current State: 62:[91, 73, 44], Operations: ['1+43=44'] Exploring Operation: 91-73=18, Resulting Numbers: [44, 18] Generated Node #3: [44, 18] from Operation: 91-73=18 Current State: 62:[44, 18], Operations: ['1+43=44', '91-73=18'] Exploring Operation: 44+18=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 31, 60, 3, 48 ]
27
[ "60-48=12", "12/3=4", "31-4=27" ]
Current State: 27:[31, 60, 3, 48], Operations: [] Exploring Operation: 60-48=12, Resulting Numbers: [31, 3, 12] Generated Node #2: [31, 3, 12] from Operation: 60-48=12 Current State: 27:[31, 3, 12], Operations: ['60-48=12'] Exploring Operation: 12/3=4, Resulting Numbers: [31, 4] Generated Node #3: [31, 4] from Operation: 12/3=4 Current State: 27:[31, 4], Operations: ['60-48=12', '12/3=4'] Exploring Operation: 31-4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 48, 47, 12, 29 ]
14
[ "48/12=4", "47-29=18", "18-4=14" ]
Current State: 14:[48, 47, 12, 29], Operations: [] Exploring Operation: 48/12=4, Resulting Numbers: [47, 29, 4] Generated Node #2: [47, 29, 4] from Operation: 48/12=4 Current State: 14:[47, 29, 4], Operations: ['48/12=4'] Exploring Operation: 47-29=18, Resulting Numbers: [4, 18] Generated Node #3: [4, 18] from Operation: 47-29=18 Current State: 14:[4, 18], Operations: ['48/12=4', '47-29=18'] Exploring Operation: 18-4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 82, 4, 10, 5 ]
22
[ "10+5=15", "4*15=60", "82-60=22" ]
Current State: 22:[82, 4, 10, 5], Operations: [] Exploring Operation: 10+5=15, Resulting Numbers: [82, 4, 15] Generated Node #2: [82, 4, 15] from Operation: 10+5=15 Current State: 22:[82, 4, 15], Operations: ['10+5=15'] Exploring Operation: 4*15=60, Resulting Numbers: [82, 60] Generated Node #3: [82, 60] from Operation: 4*15=60 Current State: 22:[82, 60], Operations: ['10+5=15', '4*15=60'] Exploring Operation: 82-60=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 52, 88, 40, 65 ]
61
[ "88-52=36", "65-40=25", "36+25=61" ]
Current State: 61:[52, 88, 40, 65], Operations: [] Exploring Operation: 88-52=36, Resulting Numbers: [40, 65, 36] Generated Node #2: [40, 65, 36] from Operation: 88-52=36 Current State: 61:[40, 65, 36], Operations: ['88-52=36'] Exploring Operation: 65-40=25, Resulting Numbers: [36, 25] Generated Node #3: [36, 25] from Operation: 65-40=25 Current State: 61:[36, 25], Operations: ['88-52=36', '65-40=25'] Exploring Operation: 36+25=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 19, 19, 79, 57 ]
21
[ "19/19=1", "79-57=22", "22-1=21" ]
Current State: 21:[19, 19, 79, 57], Operations: [] Exploring Operation: 19/19=1, Resulting Numbers: [79, 57, 1] Generated Node #2: [79, 57, 1] from Operation: 19/19=1 Current State: 21:[79, 57, 1], Operations: ['19/19=1'] Exploring Operation: 79-57=22, Resulting Numbers: [1, 22] Generated Node #3: [1, 22] from Operation: 79-57=22 Current State: 21:[1, 22], Operations: ['19/19=1', '79-57=22'] Exploring Operation: 22-1=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 20, 2, 30, 29 ]
19
[ "20*2=40", "30+29=59", "59-40=19" ]
Current State: 19:[20, 2, 30, 29], Operations: [] Exploring Operation: 20*2=40, Resulting Numbers: [30, 29, 40] Generated Node #2: [30, 29, 40] from Operation: 20*2=40 Current State: 19:[30, 29, 40], Operations: ['20*2=40'] Exploring Operation: 30+29=59, Resulting Numbers: [40, 59] Generated Node #3: [40, 59] from Operation: 30+29=59 Current State: 19:[40, 59], Operations: ['20*2=40', '30+29=59'] Exploring Operation: 59-40=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4