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
[ 52, 52, 95, 83 ]
83
[ "52-52=0", "95*0=0", "83+0=83" ]
Current State: 83:[52, 52, 95, 83], Operations: [] Exploring Operation: 52-52=0, Resulting Numbers: [95, 83, 0] Generated Node #2: [95, 83, 0] from Operation: 52-52=0 Current State: 83:[95, 83, 0], Operations: ['52-52=0'] Exploring Operation: 95*0=0, Resulting Numbers: [83, 0] Generated Node #3: [83, 0] from Operation: 95*0=0 Current State: 83:[83, 0], Operations: ['52-52=0', '95*0=0'] Exploring Operation: 83+0=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 60, 93, 2, 63 ]
99
[ "63-60=3", "2*3=6", "93+6=99" ]
Current State: 99:[60, 93, 2, 63], Operations: [] Exploring Operation: 63-60=3, Resulting Numbers: [93, 2, 3] Generated Node #2: [93, 2, 3] from Operation: 63-60=3 Current State: 99:[93, 2, 3], Operations: ['63-60=3'] Exploring Operation: 2*3=6, Resulting Numbers: [93, 6] Generated Node #3: [93, 6] from Operation: 2*3=6 Current State: 99:[93, 6], Operations: ['63-60=3', '2*3=6'] Exploring Operation: 93+6=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 73, 12, 60, 3 ]
81
[ "73-12=61", "60/3=20", "61+20=81" ]
Current State: 81:[73, 12, 60, 3], Operations: [] Exploring Operation: 73-12=61, Resulting Numbers: [60, 3, 61] Generated Node #2: [60, 3, 61] from Operation: 73-12=61 Current State: 81:[60, 3, 61], Operations: ['73-12=61'] Exploring Operation: 60/3=20, Resulting Numbers: [61, 20] Generated Node #3: [61, 20] from Operation: 60/3=20 Current State: 81:[61, 20], Operations: ['73-12=61', '60/3=20'] Exploring Operation: 61+20=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 67, 9, 7, 63 ]
43
[ "67-63=4", "9*4=36", "7+36=43" ]
Current State: 43:[67, 9, 7, 63], Operations: [] Exploring Operation: 67-63=4, Resulting Numbers: [9, 7, 4] Generated Node #2: [9, 7, 4] from Operation: 67-63=4 Current State: 43:[9, 7, 4], Operations: ['67-63=4'] Exploring Operation: 9*4=36, Resulting Numbers: [7, 36] Generated Node #3: [7, 36] from Operation: 9*4=36 Current State: 43:[7, 36], Operations: ['67-63=4', '9*4=36'] Exploring Operation: 7+36=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 54, 42, 6, 38 ]
15
[ "54+6=60", "42-38=4", "60/4=15" ]
Current State: 15:[54, 42, 6, 38], Operations: [] Exploring Operation: 54+6=60, Resulting Numbers: [42, 38, 60] Generated Node #2: [42, 38, 60] from Operation: 54+6=60 Current State: 15:[42, 38, 60], Operations: ['54+6=60'] Exploring Operation: 42-38=4, Resulting Numbers: [60, 4] Generated Node #3: [60, 4] from Operation: 42-38=4 Current State: 15:[60, 4], Operations: ['54+6=60', '42-38=4'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 11, 89, 61, 56 ]
95
[ "11+89=100", "61-56=5", "100-5=95" ]
Current State: 95:[11, 89, 61, 56], Operations: [] Exploring Operation: 11+89=100, Resulting Numbers: [61, 56, 100] Generated Node #2: [61, 56, 100] from Operation: 11+89=100 Current State: 95:[61, 56, 100], Operations: ['11+89=100'] Exploring Operation: 61-56=5, Resulting Numbers: [100, 5] Generated Node #3: [100, 5] from Operation: 61-56=5 Current State: 95:[100, 5], Operations: ['11+89=100', '61-56=5'] Exploring Operation: 100-5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 78, 71, 82, 51 ]
26
[ "78*51=3978", "71+82=153", "3978/153=26" ]
Current State: 26:[78, 71, 82, 51], Operations: [] Exploring Operation: 78*51=3978, Resulting Numbers: [71, 82, 3978] Generated Node #2: [71, 82, 3978] from Operation: 78*51=3978 Current State: 26:[71, 82, 3978], Operations: ['78*51=3978'] Exploring Operation: 71+82=153, Resulting Numbers: [3978, 153] Generated Node #3: [3978, 153] from Operation: 71+82=153 Current State: 26:[3978, 153], Operations: ['78*51=3978', '71+82=153'] Exploring Operation: 3978/153=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 93, 33, 87, 88 ]
78
[ "93-88=5", "33*5=165", "165-87=78" ]
Current State: 78:[93, 33, 87, 88], Operations: [] Exploring Operation: 93-88=5, Resulting Numbers: [33, 87, 5] Generated Node #2: [33, 87, 5] from Operation: 93-88=5 Current State: 78:[33, 87, 5], Operations: ['93-88=5'] Exploring Operation: 33*5=165, Resulting Numbers: [87, 165] Generated Node #3: [87, 165] from Operation: 33*5=165 Current State: 78:[87, 165], Operations: ['93-88=5', '33*5=165'] Exploring Operation: 165-87=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 32, 50, 8, 8 ]
100
[ "32*50=1600", "8+8=16", "1600/16=100" ]
Current State: 100:[32, 50, 8, 8], Operations: [] Exploring Operation: 32*50=1600, Resulting Numbers: [8, 8, 1600] Generated Node #2: [8, 8, 1600] from Operation: 32*50=1600 Current State: 100:[8, 8, 1600], Operations: ['32*50=1600'] Exploring Operation: 8+8=16, Resulting Numbers: [1600, 16] Generated Node #3: [1600, 16] from Operation: 8+8=16 Current State: 100:[1600, 16], Operations: ['32*50=1600', '8+8=16'] Exploring Operation: 1600/16=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 26, 2, 19, 90 ]
85
[ "26-2=24", "19+90=109", "109-24=85" ]
Current State: 85:[26, 2, 19, 90], Operations: [] Exploring Operation: 26-2=24, Resulting Numbers: [19, 90, 24] Generated Node #2: [19, 90, 24] from Operation: 26-2=24 Current State: 85:[19, 90, 24], Operations: ['26-2=24'] Exploring Operation: 19+90=109, Resulting Numbers: [24, 109] Generated Node #3: [24, 109] from Operation: 19+90=109 Current State: 85:[24, 109], Operations: ['26-2=24', '19+90=109'] Exploring Operation: 109-24=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 46, 93, 85, 79 ]
53
[ "93-46=47", "85-79=6", "47+6=53" ]
Current State: 53:[46, 93, 85, 79], Operations: [] Exploring Operation: 93-46=47, Resulting Numbers: [85, 79, 47] Generated Node #2: [85, 79, 47] from Operation: 93-46=47 Current State: 53:[85, 79, 47], Operations: ['93-46=47'] Exploring Operation: 85-79=6, Resulting Numbers: [47, 6] Generated Node #3: [47, 6] from Operation: 85-79=6 Current State: 53:[47, 6], Operations: ['93-46=47', '85-79=6'] Exploring Operation: 47+6=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 9, 3, 49, 54 ]
76
[ "9*3=27", "49+54=103", "103-27=76" ]
Current State: 76:[9, 3, 49, 54], Operations: [] Exploring Operation: 9*3=27, Resulting Numbers: [49, 54, 27] Generated Node #2: [49, 54, 27] from Operation: 9*3=27 Current State: 76:[49, 54, 27], Operations: ['9*3=27'] Exploring Operation: 49+54=103, Resulting Numbers: [27, 103] Generated Node #3: [27, 103] from Operation: 49+54=103 Current State: 76:[27, 103], Operations: ['9*3=27', '49+54=103'] Exploring Operation: 103-27=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 49, 58, 84, 86 ]
18
[ "58-49=9", "86-84=2", "9*2=18" ]
Current State: 18:[49, 58, 84, 86], Operations: [] Exploring Operation: 58-49=9, Resulting Numbers: [84, 86, 9] Generated Node #2: [84, 86, 9] from Operation: 58-49=9 Current State: 18:[84, 86, 9], Operations: ['58-49=9'] Exploring Operation: 86-84=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 86-84=2 Current State: 18:[9, 2], Operations: ['58-49=9', '86-84=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 21, 48, 7, 23 ]
75
[ "21/7=3", "48-23=25", "3*25=75" ]
Current State: 75:[21, 48, 7, 23], Operations: [] Exploring Operation: 21/7=3, Resulting Numbers: [48, 23, 3] Generated Node #2: [48, 23, 3] from Operation: 21/7=3 Current State: 75:[48, 23, 3], Operations: ['21/7=3'] Exploring Operation: 48-23=25, Resulting Numbers: [3, 25] Generated Node #3: [3, 25] from Operation: 48-23=25 Current State: 75:[3, 25], Operations: ['21/7=3', '48-23=25'] Exploring Operation: 3*25=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 8, 83, 85, 41 ]
45
[ "85-83=2", "8/2=4", "41+4=45" ]
Current State: 45:[8, 83, 85, 41], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [8, 41, 2] Generated Node #2: [8, 41, 2] from Operation: 85-83=2 Current State: 45:[8, 41, 2], Operations: ['85-83=2'] Exploring Operation: 8/2=4, Resulting Numbers: [41, 4] Generated Node #3: [41, 4] from Operation: 8/2=4 Current State: 45:[41, 4], Operations: ['85-83=2', '8/2=4'] Exploring Operation: 41+4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 24, 63, 43, 79 ]
42
[ "24*63=1512", "79-43=36", "1512/36=42" ]
Current State: 42:[24, 63, 43, 79], Operations: [] Exploring Operation: 24*63=1512, Resulting Numbers: [43, 79, 1512] Generated Node #2: [43, 79, 1512] from Operation: 24*63=1512 Current State: 42:[43, 79, 1512], Operations: ['24*63=1512'] Exploring Operation: 79-43=36, Resulting Numbers: [1512, 36] Generated Node #3: [1512, 36] from Operation: 79-43=36 Current State: 42:[1512, 36], Operations: ['24*63=1512', '79-43=36'] Exploring Operation: 1512/36=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 33, 1, 25, 28 ]
11
[ "33*1=33", "28-25=3", "33/3=11" ]
Current State: 11:[33, 1, 25, 28], Operations: [] Exploring Operation: 33*1=33, Resulting Numbers: [25, 28, 33] Generated Node #2: [25, 28, 33] from Operation: 33*1=33 Current State: 11:[25, 28, 33], Operations: ['33*1=33'] Exploring Operation: 28-25=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 28-25=3 Current State: 11:[33, 3], Operations: ['33*1=33', '28-25=3'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 65, 11, 16, 63 ]
76
[ "16-11=5", "65/5=13", "63+13=76" ]
Current State: 76:[65, 11, 16, 63], Operations: [] Exploring Operation: 16-11=5, Resulting Numbers: [65, 63, 5] Generated Node #2: [65, 63, 5] from Operation: 16-11=5 Current State: 76:[65, 63, 5], Operations: ['16-11=5'] Exploring Operation: 65/5=13, Resulting Numbers: [63, 13] Generated Node #3: [63, 13] from Operation: 65/5=13 Current State: 76:[63, 13], Operations: ['16-11=5', '65/5=13'] Exploring Operation: 63+13=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 17, 66, 73, 30 ]
91
[ "30-17=13", "73-66=7", "13*7=91" ]
Current State: 91:[17, 66, 73, 30], Operations: [] Exploring Operation: 30-17=13, Resulting Numbers: [66, 73, 13] Generated Node #2: [66, 73, 13] from Operation: 30-17=13 Current State: 91:[66, 73, 13], Operations: ['30-17=13'] Exploring Operation: 73-66=7, Resulting Numbers: [13, 7] Generated Node #3: [13, 7] from Operation: 73-66=7 Current State: 91:[13, 7], Operations: ['30-17=13', '73-66=7'] Exploring Operation: 13*7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 8, 14, 63, 12 ]
65
[ "14-8=6", "12/6=2", "63+2=65" ]
Current State: 65:[8, 14, 63, 12], Operations: [] Exploring Operation: 14-8=6, Resulting Numbers: [63, 12, 6] Generated Node #2: [63, 12, 6] from Operation: 14-8=6 Current State: 65:[63, 12, 6], Operations: ['14-8=6'] Exploring Operation: 12/6=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 12/6=2 Current State: 65:[63, 2], Operations: ['14-8=6', '12/6=2'] Exploring Operation: 63+2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 4, 77, 2, 89 ]
41
[ "77-2=75", "89+75=164", "164/4=41" ]
Current State: 41:[4, 77, 2, 89], Operations: [] Exploring Operation: 77-2=75, Resulting Numbers: [4, 89, 75] Generated Node #2: [4, 89, 75] from Operation: 77-2=75 Current State: 41:[4, 89, 75], Operations: ['77-2=75'] Exploring Operation: 89+75=164, Resulting Numbers: [4, 164] Generated Node #3: [4, 164] from Operation: 89+75=164 Current State: 41:[4, 164], Operations: ['77-2=75', '89+75=164'] Exploring Operation: 164/4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 45, 53, 84, 42 ]
50
[ "53-45=8", "84-42=42", "8+42=50" ]
Current State: 50:[45, 53, 84, 42], Operations: [] Exploring Operation: 53-45=8, Resulting Numbers: [84, 42, 8] Generated Node #2: [84, 42, 8] from Operation: 53-45=8 Current State: 50:[84, 42, 8], Operations: ['53-45=8'] Exploring Operation: 84-42=42, Resulting Numbers: [8, 42] Generated Node #3: [8, 42] from Operation: 84-42=42 Current State: 50:[8, 42], Operations: ['53-45=8', '84-42=42'] Exploring Operation: 8+42=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 96, 83, 78, 67 ]
72
[ "83-67=16", "96/16=6", "78-6=72" ]
Current State: 72:[96, 83, 78, 67], Operations: [] Exploring Operation: 83-67=16, Resulting Numbers: [96, 78, 16] Generated Node #2: [96, 78, 16] from Operation: 83-67=16 Current State: 72:[96, 78, 16], Operations: ['83-67=16'] Exploring Operation: 96/16=6, Resulting Numbers: [78, 6] Generated Node #3: [78, 6] from Operation: 96/16=6 Current State: 72:[78, 6], Operations: ['83-67=16', '96/16=6'] Exploring Operation: 78-6=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 63, 20, 18, 82 ]
19
[ "63+20=83", "82-18=64", "83-64=19" ]
Current State: 19:[63, 20, 18, 82], Operations: [] Exploring Operation: 63+20=83, Resulting Numbers: [18, 82, 83] Generated Node #2: [18, 82, 83] from Operation: 63+20=83 Current State: 19:[18, 82, 83], Operations: ['63+20=83'] Exploring Operation: 82-18=64, Resulting Numbers: [83, 64] Generated Node #3: [83, 64] from Operation: 82-18=64 Current State: 19:[83, 64], Operations: ['63+20=83', '82-18=64'] Exploring Operation: 83-64=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 10, 66, 96, 24 ]
19
[ "10+66=76", "96/24=4", "76/4=19" ]
Current State: 19:[10, 66, 96, 24], Operations: [] Exploring Operation: 10+66=76, Resulting Numbers: [96, 24, 76] Generated Node #2: [96, 24, 76] from Operation: 10+66=76 Current State: 19:[96, 24, 76], Operations: ['10+66=76'] Exploring Operation: 96/24=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 96/24=4 Current State: 19:[76, 4], Operations: ['10+66=76', '96/24=4'] Exploring Operation: 76/4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 47, 48, 75, 10 ]
65
[ "48-47=1", "75-10=65", "1*65=65" ]
Current State: 65:[47, 48, 75, 10], Operations: [] Exploring Operation: 48-47=1, Resulting Numbers: [75, 10, 1] Generated Node #2: [75, 10, 1] from Operation: 48-47=1 Current State: 65:[75, 10, 1], Operations: ['48-47=1'] Exploring Operation: 75-10=65, Resulting Numbers: [1, 65] Generated Node #3: [1, 65] from Operation: 75-10=65 Current State: 65:[1, 65], Operations: ['48-47=1', '75-10=65'] Exploring Operation: 1*65=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 48, 81, 39, 67 ]
76
[ "48-39=9", "81/9=9", "67+9=76" ]
Current State: 76:[48, 81, 39, 67], Operations: [] Exploring Operation: 48-39=9, Resulting Numbers: [81, 67, 9] Generated Node #2: [81, 67, 9] from Operation: 48-39=9 Current State: 76:[81, 67, 9], Operations: ['48-39=9'] Exploring Operation: 81/9=9, Resulting Numbers: [67, 9] Generated Node #3: [67, 9] from Operation: 81/9=9 Current State: 76:[67, 9], Operations: ['48-39=9', '81/9=9'] Exploring Operation: 67+9=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 17, 2, 38, 67 ]
13
[ "67-17=50", "50/2=25", "38-25=13" ]
Current State: 13:[17, 2, 38, 67], Operations: [] Exploring Operation: 67-17=50, Resulting Numbers: [2, 38, 50] Generated Node #2: [2, 38, 50] from Operation: 67-17=50 Current State: 13:[2, 38, 50], Operations: ['67-17=50'] Exploring Operation: 50/2=25, Resulting Numbers: [38, 25] Generated Node #3: [38, 25] from Operation: 50/2=25 Current State: 13:[38, 25], Operations: ['67-17=50', '50/2=25'] Exploring Operation: 38-25=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 8, 57, 96, 89 ]
58
[ "8+57=65", "96-89=7", "65-7=58" ]
Current State: 58:[8, 57, 96, 89], Operations: [] Exploring Operation: 8+57=65, Resulting Numbers: [96, 89, 65] Generated Node #2: [96, 89, 65] from Operation: 8+57=65 Current State: 58:[96, 89, 65], Operations: ['8+57=65'] Exploring Operation: 96-89=7, Resulting Numbers: [65, 7] Generated Node #3: [65, 7] from Operation: 96-89=7 Current State: 58:[65, 7], Operations: ['8+57=65', '96-89=7'] Exploring Operation: 65-7=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 58, 33, 91, 62 ]
93
[ "62-33=29", "58/29=2", "91+2=93" ]
Current State: 93:[58, 33, 91, 62], Operations: [] Exploring Operation: 62-33=29, Resulting Numbers: [58, 91, 29] Generated Node #2: [58, 91, 29] from Operation: 62-33=29 Current State: 93:[58, 91, 29], Operations: ['62-33=29'] Exploring Operation: 58/29=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 58/29=2 Current State: 93:[91, 2], Operations: ['62-33=29', '58/29=2'] Exploring Operation: 91+2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 17, 8, 31, 18 ]
40
[ "17-8=9", "31+18=49", "49-9=40" ]
Current State: 40:[17, 8, 31, 18], Operations: [] Exploring Operation: 17-8=9, Resulting Numbers: [31, 18, 9] Generated Node #2: [31, 18, 9] from Operation: 17-8=9 Current State: 40:[31, 18, 9], Operations: ['17-8=9'] Exploring Operation: 31+18=49, Resulting Numbers: [9, 49] Generated Node #3: [9, 49] from Operation: 31+18=49 Current State: 40:[9, 49], Operations: ['17-8=9', '31+18=49'] Exploring Operation: 49-9=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 50, 91, 36, 32 ]
45
[ "91-50=41", "36-32=4", "41+4=45" ]
Current State: 45:[50, 91, 36, 32], Operations: [] Exploring Operation: 91-50=41, Resulting Numbers: [36, 32, 41] Generated Node #2: [36, 32, 41] from Operation: 91-50=41 Current State: 45:[36, 32, 41], Operations: ['91-50=41'] Exploring Operation: 36-32=4, Resulting Numbers: [41, 4] Generated Node #3: [41, 4] from Operation: 36-32=4 Current State: 45:[41, 4], Operations: ['91-50=41', '36-32=4'] Exploring Operation: 41+4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 98, 9, 36, 53 ]
41
[ "98-53=45", "36/9=4", "45-4=41" ]
Current State: 41:[98, 9, 36, 53], Operations: [] Exploring Operation: 98-53=45, Resulting Numbers: [9, 36, 45] Generated Node #2: [9, 36, 45] from Operation: 98-53=45 Current State: 41:[9, 36, 45], Operations: ['98-53=45'] Exploring Operation: 36/9=4, Resulting Numbers: [45, 4] Generated Node #3: [45, 4] from Operation: 36/9=4 Current State: 41:[45, 4], Operations: ['98-53=45', '36/9=4'] Exploring Operation: 45-4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 23, 20, 34, 32 ]
22
[ "23-20=3", "34+32=66", "66/3=22" ]
Current State: 22:[23, 20, 34, 32], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [34, 32, 3] Generated Node #2: [34, 32, 3] from Operation: 23-20=3 Current State: 22:[34, 32, 3], Operations: ['23-20=3'] Exploring Operation: 34+32=66, Resulting Numbers: [3, 66] Generated Node #3: [3, 66] from Operation: 34+32=66 Current State: 22:[3, 66], Operations: ['23-20=3', '34+32=66'] Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 9, 98, 96, 79 ]
68
[ "9+98=107", "96+79=175", "175-107=68" ]
Current State: 68:[9, 98, 96, 79], Operations: [] Exploring Operation: 9+98=107, Resulting Numbers: [96, 79, 107] Generated Node #2: [96, 79, 107] from Operation: 9+98=107 Current State: 68:[96, 79, 107], Operations: ['9+98=107'] Exploring Operation: 96+79=175, Resulting Numbers: [107, 175] Generated Node #3: [107, 175] from Operation: 96+79=175 Current State: 68:[107, 175], Operations: ['9+98=107', '96+79=175'] Exploring Operation: 175-107=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 16, 42, 31, 38 ]
95
[ "42-16=26", "31+38=69", "26+69=95" ]
Current State: 95:[16, 42, 31, 38], Operations: [] Exploring Operation: 42-16=26, Resulting Numbers: [31, 38, 26] Generated Node #2: [31, 38, 26] from Operation: 42-16=26 Current State: 95:[31, 38, 26], Operations: ['42-16=26'] Exploring Operation: 31+38=69, Resulting Numbers: [26, 69] Generated Node #3: [26, 69] from Operation: 31+38=69 Current State: 95:[26, 69], Operations: ['42-16=26', '31+38=69'] Exploring Operation: 26+69=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 6, 22, 14, 4 ]
50
[ "22-6=16", "4*16=64", "64-14=50" ]
Current State: 50:[6, 22, 14, 4], Operations: [] Exploring Operation: 22-6=16, Resulting Numbers: [14, 4, 16] Generated Node #2: [14, 4, 16] from Operation: 22-6=16 Current State: 50:[14, 4, 16], Operations: ['22-6=16'] Exploring Operation: 4*16=64, Resulting Numbers: [14, 64] Generated Node #3: [14, 64] from Operation: 4*16=64 Current State: 50:[14, 64], Operations: ['22-6=16', '4*16=64'] Exploring Operation: 64-14=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 8, 41, 57, 54 ]
99
[ "41-8=33", "57-54=3", "33*3=99" ]
Current State: 99:[8, 41, 57, 54], Operations: [] Exploring Operation: 41-8=33, Resulting Numbers: [57, 54, 33] Generated Node #2: [57, 54, 33] from Operation: 41-8=33 Current State: 99:[57, 54, 33], Operations: ['41-8=33'] Exploring Operation: 57-54=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 57-54=3 Current State: 99:[33, 3], Operations: ['41-8=33', '57-54=3'] Exploring Operation: 33*3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 51, 42, 77, 64 ]
44
[ "51+77=128", "128/64=2", "42+2=44" ]
Current State: 44:[51, 42, 77, 64], Operations: [] Exploring Operation: 51+77=128, Resulting Numbers: [42, 64, 128] Generated Node #2: [42, 64, 128] from Operation: 51+77=128 Current State: 44:[42, 64, 128], Operations: ['51+77=128'] Exploring Operation: 128/64=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 128/64=2 Current State: 44:[42, 2], Operations: ['51+77=128', '128/64=2'] Exploring Operation: 42+2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 90, 29, 29, 15 ]
75
[ "90+29=119", "29+15=44", "119-44=75" ]
Current State: 75:[90, 29, 29, 15], Operations: [] Exploring Operation: 90+29=119, Resulting Numbers: [15, 119] Generated Node #2: [15, 119] from Operation: 90+29=119 Current State: 75:[15, 119], Operations: ['90+29=119'] Exploring Operation: 29+15=44, Resulting Numbers: [119, 44] Generated Node #3: [119, 44] from Operation: 29+15=44 Current State: 75:[119, 44], Operations: ['90+29=119', '29+15=44'] Exploring Operation: 119-44=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 63, 78, 29, 33 ]
19
[ "78-63=15", "33-29=4", "15+4=19" ]
Current State: 19:[63, 78, 29, 33], Operations: [] Exploring Operation: 78-63=15, Resulting Numbers: [29, 33, 15] Generated Node #2: [29, 33, 15] from Operation: 78-63=15 Current State: 19:[29, 33, 15], Operations: ['78-63=15'] Exploring Operation: 33-29=4, Resulting Numbers: [15, 4] Generated Node #3: [15, 4] from Operation: 33-29=4 Current State: 19:[15, 4], Operations: ['78-63=15', '33-29=4'] Exploring Operation: 15+4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 66, 86, 63, 73 ]
77
[ "73-66=7", "63/7=9", "86-9=77" ]
Current State: 77:[66, 86, 63, 73], Operations: [] Exploring Operation: 73-66=7, Resulting Numbers: [86, 63, 7] Generated Node #2: [86, 63, 7] from Operation: 73-66=7 Current State: 77:[86, 63, 7], Operations: ['73-66=7'] Exploring Operation: 63/7=9, Resulting Numbers: [86, 9] Generated Node #3: [86, 9] from Operation: 63/7=9 Current State: 77:[86, 9], Operations: ['73-66=7', '63/7=9'] Exploring Operation: 86-9=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 15, 61, 19, 35 ]
31
[ "15+61=76", "76/19=4", "35-4=31" ]
Current State: 31:[15, 61, 19, 35], Operations: [] Exploring Operation: 15+61=76, Resulting Numbers: [19, 35, 76] Generated Node #2: [19, 35, 76] from Operation: 15+61=76 Current State: 31:[19, 35, 76], Operations: ['15+61=76'] Exploring Operation: 76/19=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 76/19=4 Current State: 31:[35, 4], Operations: ['15+61=76', '76/19=4'] Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 34, 52, 50, 66 ]
26
[ "34+66=100", "52*50=2600", "2600/100=26" ]
Current State: 26:[34, 52, 50, 66], Operations: [] Exploring Operation: 34+66=100, Resulting Numbers: [52, 50, 100] Generated Node #2: [52, 50, 100] from Operation: 34+66=100 Current State: 26:[52, 50, 100], Operations: ['34+66=100'] Exploring Operation: 52*50=2600, Resulting Numbers: [100, 2600] Generated Node #3: [100, 2600] from Operation: 52*50=2600 Current State: 26:[100, 2600], Operations: ['34+66=100', '52*50=2600'] Exploring Operation: 2600/100=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 47, 41, 31, 88 ]
63
[ "47-41=6", "88-31=57", "6+57=63" ]
Current State: 63:[47, 41, 31, 88], Operations: [] Exploring Operation: 47-41=6, Resulting Numbers: [31, 88, 6] Generated Node #2: [31, 88, 6] from Operation: 47-41=6 Current State: 63:[31, 88, 6], Operations: ['47-41=6'] Exploring Operation: 88-31=57, Resulting Numbers: [6, 57] Generated Node #3: [6, 57] from Operation: 88-31=57 Current State: 63:[6, 57], Operations: ['47-41=6', '88-31=57'] Exploring Operation: 6+57=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 23, 19, 13, 69 ]
46
[ "13*69=897", "897-23=874", "874/19=46" ]
Current State: 46:[23, 19, 13, 69], Operations: [] Exploring Operation: 13*69=897, Resulting Numbers: [23, 19, 897] Generated Node #2: [23, 19, 897] from Operation: 13*69=897 Current State: 46:[23, 19, 897], Operations: ['13*69=897'] Exploring Operation: 897-23=874, Resulting Numbers: [19, 874] Generated Node #3: [19, 874] from Operation: 897-23=874 Current State: 46:[19, 874], Operations: ['13*69=897', '897-23=874'] Exploring Operation: 874/19=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 79, 33, 28, 32 ]
68
[ "79*28=2212", "32+2212=2244", "2244/33=68" ]
Current State: 68:[79, 33, 28, 32], Operations: [] Exploring Operation: 79*28=2212, Resulting Numbers: [33, 32, 2212] Generated Node #2: [33, 32, 2212] from Operation: 79*28=2212 Current State: 68:[33, 32, 2212], Operations: ['79*28=2212'] Exploring Operation: 32+2212=2244, Resulting Numbers: [33, 2244] Generated Node #3: [33, 2244] from Operation: 32+2212=2244 Current State: 68:[33, 2244], Operations: ['79*28=2212', '32+2212=2244'] Exploring Operation: 2244/33=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 30, 14, 20, 79 ]
70
[ "79-30=49", "20*49=980", "980/14=70" ]
Current State: 70:[30, 14, 20, 79], Operations: [] Exploring Operation: 79-30=49, Resulting Numbers: [14, 20, 49] Generated Node #2: [14, 20, 49] from Operation: 79-30=49 Current State: 70:[14, 20, 49], Operations: ['79-30=49'] Exploring Operation: 20*49=980, Resulting Numbers: [14, 980] Generated Node #3: [14, 980] from Operation: 20*49=980 Current State: 70:[14, 980], Operations: ['79-30=49', '20*49=980'] Exploring Operation: 980/14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 17, 72, 3, 45 ]
86
[ "17+45=62", "72/3=24", "62+24=86" ]
Current State: 86:[17, 72, 3, 45], Operations: [] Exploring Operation: 17+45=62, Resulting Numbers: [72, 3, 62] Generated Node #2: [72, 3, 62] from Operation: 17+45=62 Current State: 86:[72, 3, 62], Operations: ['17+45=62'] Exploring Operation: 72/3=24, Resulting Numbers: [62, 24] Generated Node #3: [62, 24] from Operation: 72/3=24 Current State: 86:[62, 24], Operations: ['17+45=62', '72/3=24'] Exploring Operation: 62+24=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 53, 51, 46, 52 ]
21
[ "53+52=105", "51-46=5", "105/5=21" ]
Current State: 21:[53, 51, 46, 52], Operations: [] Exploring Operation: 53+52=105, Resulting Numbers: [51, 46, 105] Generated Node #2: [51, 46, 105] from Operation: 53+52=105 Current State: 21:[51, 46, 105], Operations: ['53+52=105'] Exploring Operation: 51-46=5, Resulting Numbers: [105, 5] Generated Node #3: [105, 5] from Operation: 51-46=5 Current State: 21:[105, 5], Operations: ['53+52=105', '51-46=5'] Exploring Operation: 105/5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 5, 32, 20, 53 ]
60
[ "32-5=27", "53-20=33", "27+33=60" ]
Current State: 60:[5, 32, 20, 53], Operations: [] Exploring Operation: 32-5=27, Resulting Numbers: [20, 53, 27] Generated Node #2: [20, 53, 27] from Operation: 32-5=27 Current State: 60:[20, 53, 27], Operations: ['32-5=27'] Exploring Operation: 53-20=33, Resulting Numbers: [27, 33] Generated Node #3: [27, 33] from Operation: 53-20=33 Current State: 60:[27, 33], Operations: ['32-5=27', '53-20=33'] Exploring Operation: 27+33=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 59, 52, 92, 57 ]
28
[ "59-52=7", "92-57=35", "35-7=28" ]
Current State: 28:[59, 52, 92, 57], Operations: [] Exploring Operation: 59-52=7, Resulting Numbers: [92, 57, 7] Generated Node #2: [92, 57, 7] from Operation: 59-52=7 Current State: 28:[92, 57, 7], Operations: ['59-52=7'] Exploring Operation: 92-57=35, Resulting Numbers: [7, 35] Generated Node #3: [7, 35] from Operation: 92-57=35 Current State: 28:[7, 35], Operations: ['59-52=7', '92-57=35'] Exploring Operation: 35-7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 48, 49, 44, 86 ]
43
[ "49-48=1", "86-44=42", "1+42=43" ]
Current State: 43:[48, 49, 44, 86], Operations: [] Exploring Operation: 49-48=1, Resulting Numbers: [44, 86, 1] Generated Node #2: [44, 86, 1] from Operation: 49-48=1 Current State: 43:[44, 86, 1], Operations: ['49-48=1'] Exploring Operation: 86-44=42, Resulting Numbers: [1, 42] Generated Node #3: [1, 42] from Operation: 86-44=42 Current State: 43:[1, 42], Operations: ['49-48=1', '86-44=42'] Exploring Operation: 1+42=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 3, 93, 25, 8 ]
98
[ "8-3=5", "25/5=5", "93+5=98" ]
Current State: 98:[3, 93, 25, 8], Operations: [] Exploring Operation: 8-3=5, Resulting Numbers: [93, 25, 5] Generated Node #2: [93, 25, 5] from Operation: 8-3=5 Current State: 98:[93, 25, 5], Operations: ['8-3=5'] Exploring Operation: 25/5=5, Resulting Numbers: [93, 5] Generated Node #3: [93, 5] from Operation: 25/5=5 Current State: 98:[93, 5], Operations: ['8-3=5', '25/5=5'] Exploring Operation: 93+5=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 4, 93, 33, 18 ]
12
[ "4*18=72", "93-33=60", "72-60=12" ]
Current State: 12:[4, 93, 33, 18], Operations: [] Exploring Operation: 4*18=72, Resulting Numbers: [93, 33, 72] Generated Node #2: [93, 33, 72] from Operation: 4*18=72 Current State: 12:[93, 33, 72], Operations: ['4*18=72'] Exploring Operation: 93-33=60, Resulting Numbers: [72, 60] Generated Node #3: [72, 60] from Operation: 93-33=60 Current State: 12:[72, 60], Operations: ['4*18=72', '93-33=60'] Exploring Operation: 72-60=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 29, 2, 40, 29 ]
76
[ "29+29=58", "2*58=116", "116-40=76" ]
Current State: 76:[29, 2, 40, 29], Operations: [] Exploring Operation: 29+29=58, Resulting Numbers: [2, 40, 58] Generated Node #2: [2, 40, 58] from Operation: 29+29=58 Current State: 76:[2, 40, 58], Operations: ['29+29=58'] Exploring Operation: 2*58=116, Resulting Numbers: [40, 116] Generated Node #3: [40, 116] from Operation: 2*58=116 Current State: 76:[40, 116], Operations: ['29+29=58', '2*58=116'] Exploring Operation: 116-40=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 69, 71, 15, 6 ]
42
[ "71-69=2", "15+6=21", "2*21=42" ]
Current State: 42:[69, 71, 15, 6], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [15, 6, 2] Generated Node #2: [15, 6, 2] from Operation: 71-69=2 Current State: 42:[15, 6, 2], Operations: ['71-69=2'] Exploring Operation: 15+6=21, Resulting Numbers: [2, 21] Generated Node #3: [2, 21] from Operation: 15+6=21 Current State: 42:[2, 21], Operations: ['71-69=2', '15+6=21'] Exploring Operation: 2*21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 58, 34, 8, 2 ]
82
[ "58+34=92", "8+2=10", "92-10=82" ]
Current State: 82:[58, 34, 8, 2], Operations: [] Exploring Operation: 58+34=92, Resulting Numbers: [8, 2, 92] Generated Node #2: [8, 2, 92] from Operation: 58+34=92 Current State: 82:[8, 2, 92], Operations: ['58+34=92'] Exploring Operation: 8+2=10, Resulting Numbers: [92, 10] Generated Node #3: [92, 10] from Operation: 8+2=10 Current State: 82:[92, 10], Operations: ['58+34=92', '8+2=10'] Exploring Operation: 92-10=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 67, 44, 24, 25 ]
77
[ "67-25=42", "44*42=1848", "1848/24=77" ]
Current State: 77:[67, 44, 24, 25], Operations: [] Exploring Operation: 67-25=42, Resulting Numbers: [44, 24, 42] Generated Node #2: [44, 24, 42] from Operation: 67-25=42 Current State: 77:[44, 24, 42], Operations: ['67-25=42'] Exploring Operation: 44*42=1848, Resulting Numbers: [24, 1848] Generated Node #3: [24, 1848] from Operation: 44*42=1848 Current State: 77:[24, 1848], Operations: ['67-25=42', '44*42=1848'] Exploring Operation: 1848/24=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 89, 12, 16, 25 ]
60
[ "89+12=101", "16+25=41", "101-41=60" ]
Current State: 60:[89, 12, 16, 25], Operations: [] Exploring Operation: 89+12=101, Resulting Numbers: [16, 25, 101] Generated Node #2: [16, 25, 101] from Operation: 89+12=101 Current State: 60:[16, 25, 101], Operations: ['89+12=101'] Exploring Operation: 16+25=41, Resulting Numbers: [101, 41] Generated Node #3: [101, 41] from Operation: 16+25=41 Current State: 60:[101, 41], Operations: ['89+12=101', '16+25=41'] Exploring Operation: 101-41=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 31, 99, 62, 88 ]
94
[ "99-31=68", "88-62=26", "68+26=94" ]
Current State: 94:[31, 99, 62, 88], Operations: [] Exploring Operation: 99-31=68, Resulting Numbers: [62, 88, 68] Generated Node #2: [62, 88, 68] from Operation: 99-31=68 Current State: 94:[62, 88, 68], Operations: ['99-31=68'] Exploring Operation: 88-62=26, Resulting Numbers: [68, 26] Generated Node #3: [68, 26] from Operation: 88-62=26 Current State: 94:[68, 26], Operations: ['99-31=68', '88-62=26'] Exploring Operation: 68+26=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 26, 38, 88, 38 ]
41
[ "26+88=114", "114/38=3", "38+3=41" ]
Current State: 41:[26, 38, 88, 38], Operations: [] Exploring Operation: 26+88=114, Resulting Numbers: [38, 38, 114] Generated Node #2: [38, 38, 114] from Operation: 26+88=114 Current State: 41:[38, 38, 114], Operations: ['26+88=114'] Exploring Operation: 114/38=3, Resulting Numbers: [3] 3,41 equal: Goal Reached Exploring Operation: 38+3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 82, 3, 38, 60 ]
92
[ "82-60=22", "3*38=114", "114-22=92" ]
Current State: 92:[82, 3, 38, 60], Operations: [] Exploring Operation: 82-60=22, Resulting Numbers: [3, 38, 22] Generated Node #2: [3, 38, 22] from Operation: 82-60=22 Current State: 92:[3, 38, 22], Operations: ['82-60=22'] Exploring Operation: 3*38=114, Resulting Numbers: [22, 114] Generated Node #3: [22, 114] from Operation: 3*38=114 Current State: 92:[22, 114], Operations: ['82-60=22', '3*38=114'] Exploring Operation: 114-22=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 33, 27, 70, 30 ]
100
[ "33+27=60", "70-30=40", "60+40=100" ]
Current State: 100:[33, 27, 70, 30], Operations: [] Exploring Operation: 33+27=60, Resulting Numbers: [70, 30, 60] Generated Node #2: [70, 30, 60] from Operation: 33+27=60 Current State: 100:[70, 30, 60], Operations: ['33+27=60'] Exploring Operation: 70-30=40, Resulting Numbers: [60, 40] Generated Node #3: [60, 40] from Operation: 70-30=40 Current State: 100:[60, 40], Operations: ['33+27=60', '70-30=40'] Exploring Operation: 60+40=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 33, 7, 17, 60 ]
39
[ "17-7=10", "60/10=6", "33+6=39" ]
Current State: 39:[33, 7, 17, 60], Operations: [] Exploring Operation: 17-7=10, Resulting Numbers: [33, 60, 10] Generated Node #2: [33, 60, 10] from Operation: 17-7=10 Current State: 39:[33, 60, 10], Operations: ['17-7=10'] Exploring Operation: 60/10=6, Resulting Numbers: [33, 6] Generated Node #3: [33, 6] from Operation: 60/10=6 Current State: 39:[33, 6], Operations: ['17-7=10', '60/10=6'] Exploring Operation: 33+6=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 35, 27, 70, 46 ]
100
[ "70/35=2", "27*2=54", "46+54=100" ]
Current State: 100:[35, 27, 70, 46], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [27, 46, 2] Generated Node #2: [27, 46, 2] from Operation: 70/35=2 Current State: 100:[27, 46, 2], Operations: ['70/35=2'] Exploring Operation: 27*2=54, Resulting Numbers: [46, 54] Generated Node #3: [46, 54] from Operation: 27*2=54 Current State: 100:[46, 54], Operations: ['70/35=2', '27*2=54'] Exploring Operation: 46+54=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 23, 41, 29, 32 ]
21
[ "41-23=18", "32-29=3", "18+3=21" ]
Current State: 21:[23, 41, 29, 32], Operations: [] Exploring Operation: 41-23=18, Resulting Numbers: [29, 32, 18] Generated Node #2: [29, 32, 18] from Operation: 41-23=18 Current State: 21:[29, 32, 18], Operations: ['41-23=18'] Exploring Operation: 32-29=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 32-29=3 Current State: 21:[18, 3], Operations: ['41-23=18', '32-29=3'] Exploring Operation: 18+3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 75, 13, 6, 33 ]
61
[ "75+13=88", "33-6=27", "88-27=61" ]
Current State: 61:[75, 13, 6, 33], Operations: [] Exploring Operation: 75+13=88, Resulting Numbers: [6, 33, 88] Generated Node #2: [6, 33, 88] from Operation: 75+13=88 Current State: 61:[6, 33, 88], Operations: ['75+13=88'] Exploring Operation: 33-6=27, Resulting Numbers: [88, 27] Generated Node #3: [88, 27] from Operation: 33-6=27 Current State: 61:[88, 27], Operations: ['75+13=88', '33-6=27'] Exploring Operation: 88-27=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 58, 69, 17, 60 ]
95
[ "69-60=9", "17*9=153", "153-58=95" ]
Current State: 95:[58, 69, 17, 60], Operations: [] Exploring Operation: 69-60=9, Resulting Numbers: [58, 17, 9] Generated Node #2: [58, 17, 9] from Operation: 69-60=9 Current State: 95:[58, 17, 9], Operations: ['69-60=9'] Exploring Operation: 17*9=153, Resulting Numbers: [58, 153] Generated Node #3: [58, 153] from Operation: 17*9=153 Current State: 95:[58, 153], Operations: ['69-60=9', '17*9=153'] Exploring Operation: 153-58=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 2, 6, 37, 51 ]
22
[ "2+6=8", "51-37=14", "8+14=22" ]
Current State: 22:[2, 6, 37, 51], Operations: [] Exploring Operation: 2+6=8, Resulting Numbers: [37, 51, 8] Generated Node #2: [37, 51, 8] from Operation: 2+6=8 Current State: 22:[37, 51, 8], Operations: ['2+6=8'] Exploring Operation: 51-37=14, Resulting Numbers: [8, 14] Generated Node #3: [8, 14] from Operation: 51-37=14 Current State: 22:[8, 14], Operations: ['2+6=8', '51-37=14'] Exploring Operation: 8+14=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 14, 4, 31, 87 ]
19
[ "31-14=17", "4*17=68", "87-68=19" ]
Current State: 19:[14, 4, 31, 87], Operations: [] Exploring Operation: 31-14=17, Resulting Numbers: [4, 87, 17] Generated Node #2: [4, 87, 17] from Operation: 31-14=17 Current State: 19:[4, 87, 17], Operations: ['31-14=17'] Exploring Operation: 4*17=68, Resulting Numbers: [87, 68] Generated Node #3: [87, 68] from Operation: 4*17=68 Current State: 19:[87, 68], Operations: ['31-14=17', '4*17=68'] Exploring Operation: 87-68=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 59, 4, 71, 48 ]
96
[ "71-59=12", "4*12=48", "48+48=96" ]
Current State: 96:[59, 4, 71, 48], Operations: [] Exploring Operation: 71-59=12, Resulting Numbers: [4, 48, 12] Generated Node #2: [4, 48, 12] from Operation: 71-59=12 Current State: 96:[4, 48, 12], Operations: ['71-59=12'] Exploring Operation: 4*12=48, Resulting Numbers: [48, 48] Generated Node #3: [48, 48] from Operation: 4*12=48 Current State: 96:[48, 48], Operations: ['71-59=12', '4*12=48'] Exploring Operation: 48+48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 3, 17, 81, 56 ]
12
[ "81/3=27", "56-17=39", "39-27=12" ]
Current State: 12:[3, 17, 81, 56], Operations: [] Exploring Operation: 81/3=27, Resulting Numbers: [17, 56, 27] Generated Node #2: [17, 56, 27] from Operation: 81/3=27 Current State: 12:[17, 56, 27], Operations: ['81/3=27'] Exploring Operation: 56-17=39, Resulting Numbers: [27, 39] Generated Node #3: [27, 39] from Operation: 56-17=39 Current State: 12:[27, 39], Operations: ['81/3=27', '56-17=39'] Exploring Operation: 39-27=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 39, 12, 40, 85 ]
72
[ "39-12=27", "85-40=45", "27+45=72" ]
Current State: 72:[39, 12, 40, 85], Operations: [] Exploring Operation: 39-12=27, Resulting Numbers: [40, 85, 27] Generated Node #2: [40, 85, 27] from Operation: 39-12=27 Current State: 72:[40, 85, 27], Operations: ['39-12=27'] Exploring Operation: 85-40=45, Resulting Numbers: [27, 45] Generated Node #3: [27, 45] from Operation: 85-40=45 Current State: 72:[27, 45], Operations: ['39-12=27', '85-40=45'] Exploring Operation: 27+45=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 69, 17, 73, 76 ]
55
[ "69-17=52", "76-73=3", "52+3=55" ]
Current State: 55:[69, 17, 73, 76], Operations: [] Exploring Operation: 69-17=52, Resulting Numbers: [73, 76, 52] Generated Node #2: [73, 76, 52] from Operation: 69-17=52 Current State: 55:[73, 76, 52], Operations: ['69-17=52'] Exploring Operation: 76-73=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 76-73=3 Current State: 55:[52, 3], Operations: ['69-17=52', '76-73=3'] Exploring Operation: 52+3=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 90, 45, 54, 36 ]
45
[ "90+45=135", "54+36=90", "135-90=45" ]
Current State: 45:[90, 45, 54, 36], Operations: [] Exploring Operation: 90+45=135, Resulting Numbers: [54, 36, 135] Generated Node #2: [54, 36, 135] from Operation: 90+45=135 Current State: 45:[54, 36, 135], Operations: ['90+45=135'] Exploring Operation: 54+36=90, Resulting Numbers: [135, 90] Generated Node #3: [135, 90] from Operation: 54+36=90 Current State: 45:[135, 90], Operations: ['90+45=135', '54+36=90'] Exploring Operation: 135-90=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 58, 3, 2, 28 ]
82
[ "58-3=55", "2*55=110", "110-28=82" ]
Current State: 82:[58, 3, 2, 28], Operations: [] Exploring Operation: 58-3=55, Resulting Numbers: [2, 28, 55] Generated Node #2: [2, 28, 55] from Operation: 58-3=55 Current State: 82:[2, 28, 55], Operations: ['58-3=55'] Exploring Operation: 2*55=110, Resulting Numbers: [28, 110] Generated Node #3: [28, 110] from Operation: 2*55=110 Current State: 82:[28, 110], Operations: ['58-3=55', '2*55=110'] Exploring Operation: 110-28=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 35, 75, 63, 62 ]
39
[ "75-35=40", "63-62=1", "40-1=39" ]
Current State: 39:[35, 75, 63, 62], Operations: [] Exploring Operation: 75-35=40, Resulting Numbers: [63, 62, 40] Generated Node #2: [63, 62, 40] from Operation: 75-35=40 Current State: 39:[63, 62, 40], Operations: ['75-35=40'] Exploring Operation: 63-62=1, Resulting Numbers: [40, 1] Generated Node #3: [40, 1] from Operation: 63-62=1 Current State: 39:[40, 1], Operations: ['75-35=40', '63-62=1'] Exploring Operation: 40-1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 48, 4, 72, 58 ]
36
[ "58-4=54", "48*54=2592", "2592/72=36" ]
Current State: 36:[48, 4, 72, 58], Operations: [] Exploring Operation: 58-4=54, Resulting Numbers: [48, 72, 54] Generated Node #2: [48, 72, 54] from Operation: 58-4=54 Current State: 36:[48, 72, 54], Operations: ['58-4=54'] Exploring Operation: 48*54=2592, Resulting Numbers: [72, 2592] Generated Node #3: [72, 2592] from Operation: 48*54=2592 Current State: 36:[72, 2592], Operations: ['58-4=54', '48*54=2592'] Exploring Operation: 2592/72=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 87, 64, 14, 34 ]
25
[ "87-64=23", "14+34=48", "48-23=25" ]
Current State: 25:[87, 64, 14, 34], Operations: [] Exploring Operation: 87-64=23, Resulting Numbers: [14, 34, 23] Generated Node #2: [14, 34, 23] from Operation: 87-64=23 Current State: 25:[14, 34, 23], Operations: ['87-64=23'] Exploring Operation: 14+34=48, Resulting Numbers: [23, 48] Generated Node #3: [23, 48] from Operation: 14+34=48 Current State: 25:[23, 48], Operations: ['87-64=23', '14+34=48'] Exploring Operation: 48-23=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 31, 11, 18, 40 ]
100
[ "31+11=42", "18+40=58", "42+58=100" ]
Current State: 100:[31, 11, 18, 40], Operations: [] Exploring Operation: 31+11=42, Resulting Numbers: [18, 40, 42] Generated Node #2: [18, 40, 42] from Operation: 31+11=42 Current State: 100:[18, 40, 42], Operations: ['31+11=42'] Exploring Operation: 18+40=58, Resulting Numbers: [42, 58] Generated Node #3: [42, 58] from Operation: 18+40=58 Current State: 100:[42, 58], Operations: ['31+11=42', '18+40=58'] Exploring Operation: 42+58=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 13, 63, 37, 10 ]
16
[ "13-10=3", "63/3=21", "37-21=16" ]
Current State: 16:[13, 63, 37, 10], Operations: [] Exploring Operation: 13-10=3, Resulting Numbers: [63, 37, 3] Generated Node #2: [63, 37, 3] from Operation: 13-10=3 Current State: 16:[63, 37, 3], Operations: ['13-10=3'] Exploring Operation: 63/3=21, Resulting Numbers: [37, 21] Generated Node #3: [37, 21] from Operation: 63/3=21 Current State: 16:[37, 21], Operations: ['13-10=3', '63/3=21'] Exploring Operation: 37-21=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 9, 7, 68, 26 ]
54
[ "68-26=42", "9*42=378", "378/7=54" ]
Current State: 54:[9, 7, 68, 26], Operations: [] Exploring Operation: 68-26=42, Resulting Numbers: [9, 7, 42] Generated Node #2: [9, 7, 42] from Operation: 68-26=42 Current State: 54:[9, 7, 42], Operations: ['68-26=42'] Exploring Operation: 9*42=378, Resulting Numbers: [7, 378] Generated Node #3: [7, 378] from Operation: 9*42=378 Current State: 54:[7, 378], Operations: ['68-26=42', '9*42=378'] Exploring Operation: 378/7=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 11, 14, 54, 66 ]
84
[ "14-11=3", "54/3=18", "66+18=84" ]
Current State: 84:[11, 14, 54, 66], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [54, 66, 3] Generated Node #2: [54, 66, 3] from Operation: 14-11=3 Current State: 84:[54, 66, 3], Operations: ['14-11=3'] Exploring Operation: 54/3=18, Resulting Numbers: [66, 18] Generated Node #3: [66, 18] from Operation: 54/3=18 Current State: 84:[66, 18], Operations: ['14-11=3', '54/3=18'] Exploring Operation: 66+18=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 25, 95, 13, 36 ]
98
[ "25-13=12", "36/12=3", "95+3=98" ]
Current State: 98:[25, 95, 13, 36], Operations: [] Exploring Operation: 25-13=12, Resulting Numbers: [95, 36, 12] Generated Node #2: [95, 36, 12] from Operation: 25-13=12 Current State: 98:[95, 36, 12], Operations: ['25-13=12'] Exploring Operation: 36/12=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 36/12=3 Current State: 98:[95, 3], Operations: ['25-13=12', '36/12=3'] Exploring Operation: 95+3=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 17, 95, 42, 21 ]
99
[ "95-17=78", "42-21=21", "78+21=99" ]
Current State: 99:[17, 95, 42, 21], Operations: [] Exploring Operation: 95-17=78, Resulting Numbers: [42, 21, 78] Generated Node #2: [42, 21, 78] from Operation: 95-17=78 Current State: 99:[42, 21, 78], Operations: ['95-17=78'] Exploring Operation: 42-21=21, Resulting Numbers: [78, 21] Generated Node #3: [78, 21] from Operation: 42-21=21 Current State: 99:[78, 21], Operations: ['95-17=78', '42-21=21'] Exploring Operation: 78+21=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 43, 44, 86, 56 ]
57
[ "43+44=87", "86-56=30", "87-30=57" ]
Current State: 57:[43, 44, 86, 56], Operations: [] Exploring Operation: 43+44=87, Resulting Numbers: [86, 56, 87] Generated Node #2: [86, 56, 87] from Operation: 43+44=87 Current State: 57:[86, 56, 87], Operations: ['43+44=87'] Exploring Operation: 86-56=30, Resulting Numbers: [87, 30] Generated Node #3: [87, 30] from Operation: 86-56=30 Current State: 57:[87, 30], Operations: ['43+44=87', '86-56=30'] Exploring Operation: 87-30=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 72, 48, 52, 66 ]
21
[ "66-52=14", "72*14=1008", "1008/48=21" ]
Current State: 21:[72, 48, 52, 66], Operations: [] Exploring Operation: 66-52=14, Resulting Numbers: [72, 48, 14] Generated Node #2: [72, 48, 14] from Operation: 66-52=14 Current State: 21:[72, 48, 14], Operations: ['66-52=14'] Exploring Operation: 72*14=1008, Resulting Numbers: [48, 1008] Generated Node #3: [48, 1008] from Operation: 72*14=1008 Current State: 21:[48, 1008], Operations: ['66-52=14', '72*14=1008'] Exploring Operation: 1008/48=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 32, 7, 38, 51 ]
51
[ "32+7=39", "39-38=1", "51*1=51" ]
Current State: 51:[32, 7, 38, 51], Operations: [] Exploring Operation: 32+7=39, Resulting Numbers: [38, 51, 39] Generated Node #2: [38, 51, 39] from Operation: 32+7=39 Current State: 51:[38, 51, 39], Operations: ['32+7=39'] Exploring Operation: 39-38=1, Resulting Numbers: [51, 1] Generated Node #3: [51, 1] from Operation: 39-38=1 Current State: 51:[51, 1], Operations: ['32+7=39', '39-38=1'] Exploring Operation: 51*1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 1, 36, 2, 13 ]
46
[ "1*36=36", "36-13=23", "2*23=46" ]
Current State: 46:[1, 36, 2, 13], Operations: [] Exploring Operation: 1*36=36, Resulting Numbers: [2, 13, 36] Generated Node #2: [2, 13, 36] from Operation: 1*36=36 Current State: 46:[2, 13, 36], Operations: ['1*36=36'] Exploring Operation: 36-13=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 36-13=23 Current State: 46:[2, 23], Operations: ['1*36=36', '36-13=23'] Exploring Operation: 2*23=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 18, 22, 53, 20 ]
48
[ "22-18=4", "20/4=5", "53-5=48" ]
Current State: 48:[18, 22, 53, 20], Operations: [] Exploring Operation: 22-18=4, Resulting Numbers: [53, 20, 4] Generated Node #2: [53, 20, 4] from Operation: 22-18=4 Current State: 48:[53, 20, 4], Operations: ['22-18=4'] Exploring Operation: 20/4=5, Resulting Numbers: [53, 5] Generated Node #3: [53, 5] from Operation: 20/4=5 Current State: 48:[53, 5], Operations: ['22-18=4', '20/4=5'] Exploring Operation: 53-5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 9, 93, 12, 62 ]
69
[ "93-9=84", "84/12=7", "62+7=69" ]
Current State: 69:[9, 93, 12, 62], Operations: [] Exploring Operation: 93-9=84, Resulting Numbers: [12, 62, 84] Generated Node #2: [12, 62, 84] from Operation: 93-9=84 Current State: 69:[12, 62, 84], Operations: ['93-9=84'] Exploring Operation: 84/12=7, Resulting Numbers: [62, 7] Generated Node #3: [62, 7] from Operation: 84/12=7 Current State: 69:[62, 7], Operations: ['93-9=84', '84/12=7'] Exploring Operation: 62+7=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 14, 26, 74, 4 ]
10
[ "14-4=10", "26+74=100", "100/10=10" ]
Current State: 10:[14, 26, 74, 4], Operations: [] Exploring Operation: 14-4=10, Resulting Numbers: [26, 74, 10] Generated Node #2: [26, 74, 10] from Operation: 14-4=10 Current State: 10:[26, 74, 10], Operations: ['14-4=10'] Exploring Operation: 26+74=100, Resulting Numbers: [10, 100] Generated Node #3: [10, 100] from Operation: 26+74=100 Current State: 10:[10, 100], Operations: ['14-4=10', '26+74=100'] Exploring Operation: 100/10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 12, 9, 50, 18 ]
15
[ "12+18=30", "9*50=450", "450/30=15" ]
Current State: 15:[12, 9, 50, 18], Operations: [] Exploring Operation: 12+18=30, Resulting Numbers: [9, 50, 30] Generated Node #2: [9, 50, 30] from Operation: 12+18=30 Current State: 15:[9, 50, 30], Operations: ['12+18=30'] Exploring Operation: 9*50=450, Resulting Numbers: [30, 450] Generated Node #3: [30, 450] from Operation: 9*50=450 Current State: 15:[30, 450], Operations: ['12+18=30', '9*50=450'] Exploring Operation: 450/30=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 94, 55, 40, 61 ]
61
[ "94-55=39", "40-39=1", "61*1=61" ]
Current State: 61:[94, 55, 40, 61], Operations: [] Exploring Operation: 94-55=39, Resulting Numbers: [40, 61, 39] Generated Node #2: [40, 61, 39] from Operation: 94-55=39 Current State: 61:[40, 61, 39], Operations: ['94-55=39'] Exploring Operation: 40-39=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 40-39=1 Current State: 61:[61, 1], Operations: ['94-55=39', '40-39=1'] Exploring Operation: 61*1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 4, 93, 53, 81 ]
45
[ "93-4=89", "53+81=134", "134-89=45" ]
Current State: 45:[4, 93, 53, 81], Operations: [] Exploring Operation: 93-4=89, Resulting Numbers: [53, 81, 89] Generated Node #2: [53, 81, 89] from Operation: 93-4=89 Current State: 45:[53, 81, 89], Operations: ['93-4=89'] Exploring Operation: 53+81=134, Resulting Numbers: [89, 134] Generated Node #3: [89, 134] from Operation: 53+81=134 Current State: 45:[89, 134], Operations: ['93-4=89', '53+81=134'] Exploring Operation: 134-89=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 59, 25, 55, 57 ]
15
[ "59-57=2", "55-25=30", "30/2=15" ]
Current State: 15:[59, 25, 55, 57], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [25, 55, 2] Generated Node #2: [25, 55, 2] from Operation: 59-57=2 Current State: 15:[25, 55, 2], Operations: ['59-57=2'] Exploring Operation: 55-25=30, Resulting Numbers: [2, 30] Generated Node #3: [2, 30] from Operation: 55-25=30 Current State: 15:[2, 30], Operations: ['59-57=2', '55-25=30'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 66, 68, 14, 41 ]
64
[ "68+14=82", "82/41=2", "66-2=64" ]
Current State: 64:[66, 68, 14, 41], Operations: [] Exploring Operation: 68+14=82, Resulting Numbers: [66, 41, 82] Generated Node #2: [66, 41, 82] from Operation: 68+14=82 Current State: 64:[66, 41, 82], Operations: ['68+14=82'] Exploring Operation: 82/41=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 82/41=2 Current State: 64:[66, 2], Operations: ['68+14=82', '82/41=2'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 41, 10, 86, 9 ]
64
[ "41-10=31", "86+9=95", "95-31=64" ]
Current State: 64:[41, 10, 86, 9], Operations: [] Exploring Operation: 41-10=31, Resulting Numbers: [86, 9, 31] Generated Node #2: [86, 9, 31] from Operation: 41-10=31 Current State: 64:[86, 9, 31], Operations: ['41-10=31'] Exploring Operation: 86+9=95, Resulting Numbers: [31, 95] Generated Node #3: [31, 95] from Operation: 86+9=95 Current State: 64:[31, 95], Operations: ['41-10=31', '86+9=95'] Exploring Operation: 95-31=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 66, 77, 63, 11 ]
84
[ "66/11=6", "77-63=14", "6*14=84" ]
Current State: 84:[66, 77, 63, 11], Operations: [] Exploring Operation: 66/11=6, Resulting Numbers: [77, 63, 6] Generated Node #2: [77, 63, 6] from Operation: 66/11=6 Current State: 84:[77, 63, 6], Operations: ['66/11=6'] Exploring Operation: 77-63=14, Resulting Numbers: [6, 14] Generated Node #3: [6, 14] from Operation: 77-63=14 Current State: 84:[6, 14], Operations: ['66/11=6', '77-63=14'] Exploring Operation: 6*14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4