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
[ 36, 35, 11, 4 ]
70
[ "36/4=9", "11-9=2", "35*2=70" ]
Current State: 70:[36, 35, 11, 4], Operations: [] Exploring Operation: 36/4=9, Resulting Numbers: [35, 11, 9] Generated Node #2: [35, 11, 9] from Operation: 36/4=9 Current State: 70:[35, 11, 9], Operations: ['36/4=9'] Exploring Operation: 11-9=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 11-9=2 Current State: 70:[35, 2], Operations: ['36/4=9', '11-9=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 84, 61, 77, 97 ]
43
[ "84-61=23", "97-77=20", "23+20=43" ]
Current State: 43:[84, 61, 77, 97], Operations: [] Exploring Operation: 84-61=23, Resulting Numbers: [77, 97, 23] Generated Node #2: [77, 97, 23] from Operation: 84-61=23 Current State: 43:[77, 97, 23], Operations: ['84-61=23'] Exploring Operation: 97-77=20, Resulting Numbers: [23, 20] Generated Node #3: [23, 20] from Operation: 97-77=20 Current State: 43:[23, 20], Operations: ['84-61=23', '97-77=20'] Exploring Operation: 23+20=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 10, 69, 91, 61 ]
49
[ "10+69=79", "91-61=30", "79-30=49" ]
Current State: 49:[10, 69, 91, 61], Operations: [] Exploring Operation: 10+69=79, Resulting Numbers: [91, 61, 79] Generated Node #2: [91, 61, 79] from Operation: 10+69=79 Current State: 49:[91, 61, 79], Operations: ['10+69=79'] Exploring Operation: 91-61=30, Resulting Numbers: [79, 30] Generated Node #3: [79, 30] from Operation: 91-61=30 Current State: 49:[79, 30], Operations: ['10+69=79', '91-61=30'] Exploring Operation: 79-30=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 19, 3, 82, 47 ]
51
[ "19-3=16", "82-47=35", "16+35=51" ]
Current State: 51:[19, 3, 82, 47], Operations: [] Exploring Operation: 19-3=16, Resulting Numbers: [82, 47, 16] Generated Node #2: [82, 47, 16] from Operation: 19-3=16 Current State: 51:[82, 47, 16], Operations: ['19-3=16'] Exploring Operation: 82-47=35, Resulting Numbers: [16, 35] Generated Node #3: [16, 35] from Operation: 82-47=35 Current State: 51:[16, 35], Operations: ['19-3=16', '82-47=35'] Exploring Operation: 16+35=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 36, 14, 40, 6 ]
50
[ "40-36=4", "14*4=56", "56-6=50" ]
Current State: 50:[36, 14, 40, 6], Operations: [] Exploring Operation: 40-36=4, Resulting Numbers: [14, 6, 4] Generated Node #2: [14, 6, 4] from Operation: 40-36=4 Current State: 50:[14, 6, 4], Operations: ['40-36=4'] Exploring Operation: 14*4=56, Resulting Numbers: [6, 56] Generated Node #3: [6, 56] from Operation: 14*4=56 Current State: 50:[6, 56], Operations: ['40-36=4', '14*4=56'] Exploring Operation: 56-6=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 86, 33, 40, 89 ]
70
[ "86+33=119", "89-40=49", "119-49=70" ]
Current State: 70:[86, 33, 40, 89], Operations: [] Exploring Operation: 86+33=119, Resulting Numbers: [40, 89, 119] Generated Node #2: [40, 89, 119] from Operation: 86+33=119 Current State: 70:[40, 89, 119], Operations: ['86+33=119'] Exploring Operation: 89-40=49, Resulting Numbers: [119, 49] Generated Node #3: [119, 49] from Operation: 89-40=49 Current State: 70:[119, 49], Operations: ['86+33=119', '89-40=49'] Exploring Operation: 119-49=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 58, 51, 80, 15 ]
17
[ "80-51=29", "58/29=2", "15+2=17" ]
Current State: 17:[58, 51, 80, 15], Operations: [] Exploring Operation: 80-51=29, Resulting Numbers: [58, 15, 29] Generated Node #2: [58, 15, 29] from Operation: 80-51=29 Current State: 17:[58, 15, 29], Operations: ['80-51=29'] Exploring Operation: 58/29=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 58/29=2 Current State: 17:[15, 2], Operations: ['80-51=29', '58/29=2'] Exploring Operation: 15+2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 5, 99, 81, 94 ]
56
[ "99-94=5", "5*5=25", "81-25=56" ]
Current State: 56:[5, 99, 81, 94], Operations: [] Exploring Operation: 99-94=5, Resulting Numbers: [5, 81, 5] Generated Node #2: [5, 81, 5] from Operation: 99-94=5 Current State: 56:[5, 81, 5], Operations: ['99-94=5'] Exploring Operation: 5*5=25, Resulting Numbers: [81, 25] Generated Node #3: [81, 25] from Operation: 5*5=25 Current State: 56:[81, 25], Operations: ['99-94=5', '5*5=25'] Exploring Operation: 81-25=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 21, 30, 41, 8 ]
97
[ "21*8=168", "30+41=71", "168-71=97" ]
Current State: 97:[21, 30, 41, 8], Operations: [] Exploring Operation: 21*8=168, Resulting Numbers: [30, 41, 168] Generated Node #2: [30, 41, 168] from Operation: 21*8=168 Current State: 97:[30, 41, 168], Operations: ['21*8=168'] Exploring Operation: 30+41=71, Resulting Numbers: [168, 71] Generated Node #3: [168, 71] from Operation: 30+41=71 Current State: 97:[168, 71], Operations: ['21*8=168', '30+41=71'] Exploring Operation: 168-71=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 20, 9, 9, 9 ]
10
[ "20*9=180", "9+9=18", "180/18=10" ]
Current State: 10:[20, 9, 9, 9], Operations: [] Exploring Operation: 20*9=180, Resulting Numbers: [180] 180,10 equal: Goal Reached Exploring Operation: 9+9=18, Resulting Numbers: [180, 18] Generated Node #2: [180, 18] from Operation: 9+9=18 Current State: 10:[180, 18], Operations: ['9+9=18'] Exploring Operation: 180/18=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 48, 44, 52, 13 ]
35
[ "48-44=4", "52-13=39", "39-4=35" ]
Current State: 35:[48, 44, 52, 13], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [52, 13, 4] Generated Node #2: [52, 13, 4] from Operation: 48-44=4 Current State: 35:[52, 13, 4], Operations: ['48-44=4'] Exploring Operation: 52-13=39, Resulting Numbers: [4, 39] Generated Node #3: [4, 39] from Operation: 52-13=39 Current State: 35:[4, 39], Operations: ['48-44=4', '52-13=39'] Exploring Operation: 39-4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 85, 52, 17, 44 ]
40
[ "85/17=5", "52-44=8", "5*8=40" ]
Current State: 40:[85, 52, 17, 44], Operations: [] Exploring Operation: 85/17=5, Resulting Numbers: [52, 44, 5] Generated Node #2: [52, 44, 5] from Operation: 85/17=5 Current State: 40:[52, 44, 5], Operations: ['85/17=5'] Exploring Operation: 52-44=8, Resulting Numbers: [5, 8] Generated Node #3: [5, 8] from Operation: 52-44=8 Current State: 40:[5, 8], Operations: ['85/17=5', '52-44=8'] Exploring Operation: 5*8=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 26, 49, 42, 2 ]
83
[ "26+42=68", "68/2=34", "49+34=83" ]
Current State: 83:[26, 49, 42, 2], Operations: [] Exploring Operation: 26+42=68, Resulting Numbers: [49, 2, 68] Generated Node #2: [49, 2, 68] from Operation: 26+42=68 Current State: 83:[49, 2, 68], Operations: ['26+42=68'] Exploring Operation: 68/2=34, Resulting Numbers: [49, 34] Generated Node #3: [49, 34] from Operation: 68/2=34 Current State: 83:[49, 34], Operations: ['26+42=68', '68/2=34'] Exploring Operation: 49+34=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 71, 70, 15, 15 ]
71
[ "15-15=0", "70*0=0", "71+0=71" ]
Current State: 71:[71, 70, 15, 15], Operations: [] Exploring Operation: 15-15=0, Resulting Numbers: [71, 70, 0] Generated Node #2: [71, 70, 0] from Operation: 15-15=0 Current State: 71:[71, 70, 0], Operations: ['15-15=0'] Exploring Operation: 70*0=0, Resulting Numbers: [71, 0] Generated Node #3: [71, 0] from Operation: 70*0=0 Current State: 71:[71, 0], Operations: ['15-15=0', '70*0=0'] Exploring Operation: 71+0=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 75, 4, 70, 84 ]
65
[ "75+4=79", "84-70=14", "79-14=65" ]
Current State: 65:[75, 4, 70, 84], Operations: [] Exploring Operation: 75+4=79, Resulting Numbers: [70, 84, 79] Generated Node #2: [70, 84, 79] from Operation: 75+4=79 Current State: 65:[70, 84, 79], Operations: ['75+4=79'] Exploring Operation: 84-70=14, Resulting Numbers: [79, 14] Generated Node #3: [79, 14] from Operation: 84-70=14 Current State: 65:[79, 14], Operations: ['75+4=79', '84-70=14'] Exploring Operation: 79-14=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 7, 20, 26, 97 ]
80
[ "7+97=104", "20*104=2080", "2080/26=80" ]
Current State: 80:[7, 20, 26, 97], Operations: [] Exploring Operation: 7+97=104, Resulting Numbers: [20, 26, 104] Generated Node #2: [20, 26, 104] from Operation: 7+97=104 Current State: 80:[20, 26, 104], Operations: ['7+97=104'] Exploring Operation: 20*104=2080, Resulting Numbers: [26, 2080] Generated Node #3: [26, 2080] from Operation: 20*104=2080 Current State: 80:[26, 2080], Operations: ['7+97=104', '20*104=2080'] Exploring Operation: 2080/26=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 1, 73, 80, 65 ]
71
[ "1+73=74", "80+65=145", "145-74=71" ]
Current State: 71:[1, 73, 80, 65], Operations: [] Exploring Operation: 1+73=74, Resulting Numbers: [80, 65, 74] Generated Node #2: [80, 65, 74] from Operation: 1+73=74 Current State: 71:[80, 65, 74], Operations: ['1+73=74'] Exploring Operation: 80+65=145, Resulting Numbers: [74, 145] Generated Node #3: [74, 145] from Operation: 80+65=145 Current State: 71:[74, 145], Operations: ['1+73=74', '80+65=145'] Exploring Operation: 145-74=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 50, 89, 81, 73 ]
100
[ "89+73=162", "50*162=8100", "8100/81=100" ]
Current State: 100:[50, 89, 81, 73], Operations: [] Exploring Operation: 89+73=162, Resulting Numbers: [50, 81, 162] Generated Node #2: [50, 81, 162] from Operation: 89+73=162 Current State: 100:[50, 81, 162], Operations: ['89+73=162'] Exploring Operation: 50*162=8100, Resulting Numbers: [81, 8100] Generated Node #3: [81, 8100] from Operation: 50*162=8100 Current State: 100:[81, 8100], Operations: ['89+73=162', '50*162=8100'] Exploring Operation: 8100/81=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 39, 49, 10, 42 ]
58
[ "49-39=10", "10*10=100", "100-42=58" ]
Current State: 58:[39, 49, 10, 42], Operations: [] Exploring Operation: 49-39=10, Resulting Numbers: [10, 42, 10] Generated Node #2: [10, 42, 10] from Operation: 49-39=10 Current State: 58:[10, 42, 10], Operations: ['49-39=10'] Exploring Operation: 10*10=100, Resulting Numbers: [42, 100] Generated Node #3: [42, 100] from Operation: 10*10=100 Current State: 58:[42, 100], Operations: ['49-39=10', '10*10=100'] Exploring Operation: 100-42=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 18, 3, 1, 7 ]
62
[ "18*3=54", "1+7=8", "54+8=62" ]
Current State: 62:[18, 3, 1, 7], Operations: [] Exploring Operation: 18*3=54, Resulting Numbers: [1, 7, 54] Generated Node #2: [1, 7, 54] from Operation: 18*3=54 Current State: 62:[1, 7, 54], Operations: ['18*3=54'] Exploring Operation: 1+7=8, Resulting Numbers: [54, 8] Generated Node #3: [54, 8] from Operation: 1+7=8 Current State: 62:[54, 8], Operations: ['18*3=54', '1+7=8'] Exploring Operation: 54+8=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 84, 86, 16, 11 ]
43
[ "86-84=2", "16*2=32", "11+32=43" ]
Current State: 43:[84, 86, 16, 11], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [16, 11, 2] Generated Node #2: [16, 11, 2] from Operation: 86-84=2 Current State: 43:[16, 11, 2], Operations: ['86-84=2'] Exploring Operation: 16*2=32, Resulting Numbers: [11, 32] Generated Node #3: [11, 32] from Operation: 16*2=32 Current State: 43:[11, 32], Operations: ['86-84=2', '16*2=32'] Exploring Operation: 11+32=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 37, 24, 48, 27 ]
40
[ "37+24=61", "48-27=21", "61-21=40" ]
Current State: 40:[37, 24, 48, 27], Operations: [] Exploring Operation: 37+24=61, Resulting Numbers: [48, 27, 61] Generated Node #2: [48, 27, 61] from Operation: 37+24=61 Current State: 40:[48, 27, 61], Operations: ['37+24=61'] Exploring Operation: 48-27=21, Resulting Numbers: [61, 21] Generated Node #3: [61, 21] from Operation: 48-27=21 Current State: 40:[61, 21], Operations: ['37+24=61', '48-27=21'] Exploring Operation: 61-21=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 43, 48, 44, 7 ]
54
[ "43+48=91", "44-7=37", "91-37=54" ]
Current State: 54:[43, 48, 44, 7], Operations: [] Exploring Operation: 43+48=91, Resulting Numbers: [44, 7, 91] Generated Node #2: [44, 7, 91] from Operation: 43+48=91 Current State: 54:[44, 7, 91], Operations: ['43+48=91'] Exploring Operation: 44-7=37, Resulting Numbers: [91, 37] Generated Node #3: [91, 37] from Operation: 44-7=37 Current State: 54:[91, 37], Operations: ['43+48=91', '44-7=37'] Exploring Operation: 91-37=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 6, 8, 28, 68 ]
12
[ "8-6=2", "28*2=56", "68-56=12" ]
Current State: 12:[6, 8, 28, 68], Operations: [] Exploring Operation: 8-6=2, Resulting Numbers: [28, 68, 2] Generated Node #2: [28, 68, 2] from Operation: 8-6=2 Current State: 12:[28, 68, 2], Operations: ['8-6=2'] Exploring Operation: 28*2=56, Resulting Numbers: [68, 56] Generated Node #3: [68, 56] from Operation: 28*2=56 Current State: 12:[68, 56], Operations: ['8-6=2', '28*2=56'] Exploring Operation: 68-56=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 30, 3, 71, 57 ]
100
[ "30+57=87", "87/3=29", "71+29=100" ]
Current State: 100:[30, 3, 71, 57], Operations: [] Exploring Operation: 30+57=87, Resulting Numbers: [3, 71, 87] Generated Node #2: [3, 71, 87] from Operation: 30+57=87 Current State: 100:[3, 71, 87], Operations: ['30+57=87'] Exploring Operation: 87/3=29, Resulting Numbers: [71, 29] Generated Node #3: [71, 29] from Operation: 87/3=29 Current State: 100:[71, 29], Operations: ['30+57=87', '87/3=29'] Exploring Operation: 71+29=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 83, 11, 95, 82 ]
81
[ "83+11=94", "95-82=13", "94-13=81" ]
Current State: 81:[83, 11, 95, 82], Operations: [] Exploring Operation: 83+11=94, Resulting Numbers: [95, 82, 94] Generated Node #2: [95, 82, 94] from Operation: 83+11=94 Current State: 81:[95, 82, 94], Operations: ['83+11=94'] Exploring Operation: 95-82=13, Resulting Numbers: [94, 13] Generated Node #3: [94, 13] from Operation: 95-82=13 Current State: 81:[94, 13], Operations: ['83+11=94', '95-82=13'] Exploring Operation: 94-13=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 89, 82, 56, 9 ]
75
[ "89+82=171", "171/9=19", "56+19=75" ]
Current State: 75:[89, 82, 56, 9], Operations: [] Exploring Operation: 89+82=171, Resulting Numbers: [56, 9, 171] Generated Node #2: [56, 9, 171] from Operation: 89+82=171 Current State: 75:[56, 9, 171], Operations: ['89+82=171'] Exploring Operation: 171/9=19, Resulting Numbers: [56, 19] Generated Node #3: [56, 19] from Operation: 171/9=19 Current State: 75:[56, 19], Operations: ['89+82=171', '171/9=19'] Exploring Operation: 56+19=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 4, 24, 17, 67 ]
90
[ "24/4=6", "17+67=84", "6+84=90" ]
Current State: 90:[4, 24, 17, 67], Operations: [] Exploring Operation: 24/4=6, Resulting Numbers: [17, 67, 6] Generated Node #2: [17, 67, 6] from Operation: 24/4=6 Current State: 90:[17, 67, 6], Operations: ['24/4=6'] Exploring Operation: 17+67=84, Resulting Numbers: [6, 84] Generated Node #3: [6, 84] from Operation: 17+67=84 Current State: 90:[6, 84], Operations: ['24/4=6', '17+67=84'] Exploring Operation: 6+84=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 16, 35, 9, 81 ]
42
[ "16+35=51", "81/9=9", "51-9=42" ]
Current State: 42:[16, 35, 9, 81], Operations: [] Exploring Operation: 16+35=51, Resulting Numbers: [9, 81, 51] Generated Node #2: [9, 81, 51] from Operation: 16+35=51 Current State: 42:[9, 81, 51], Operations: ['16+35=51'] Exploring Operation: 81/9=9, Resulting Numbers: [51, 9] Generated Node #3: [51, 9] from Operation: 81/9=9 Current State: 42:[51, 9], Operations: ['16+35=51', '81/9=9'] Exploring Operation: 51-9=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 6, 8, 84, 27 ]
59
[ "8-6=2", "84-27=57", "2+57=59" ]
Current State: 59:[6, 8, 84, 27], Operations: [] Exploring Operation: 8-6=2, Resulting Numbers: [84, 27, 2] Generated Node #2: [84, 27, 2] from Operation: 8-6=2 Current State: 59:[84, 27, 2], Operations: ['8-6=2'] Exploring Operation: 84-27=57, Resulting Numbers: [2, 57] Generated Node #3: [2, 57] from Operation: 84-27=57 Current State: 59:[2, 57], Operations: ['8-6=2', '84-27=57'] Exploring Operation: 2+57=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 7, 2, 83, 75 ]
54
[ "83-75=8", "7*8=56", "56-2=54" ]
Current State: 54:[7, 2, 83, 75], Operations: [] Exploring Operation: 83-75=8, Resulting Numbers: [7, 2, 8] Generated Node #2: [7, 2, 8] from Operation: 83-75=8 Current State: 54:[7, 2, 8], Operations: ['83-75=8'] Exploring Operation: 7*8=56, Resulting Numbers: [2, 56] Generated Node #3: [2, 56] from Operation: 7*8=56 Current State: 54:[2, 56], Operations: ['83-75=8', '7*8=56'] Exploring Operation: 56-2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 49, 75, 62, 17 ]
71
[ "75-49=26", "62-17=45", "26+45=71" ]
Current State: 71:[49, 75, 62, 17], Operations: [] Exploring Operation: 75-49=26, Resulting Numbers: [62, 17, 26] Generated Node #2: [62, 17, 26] from Operation: 75-49=26 Current State: 71:[62, 17, 26], Operations: ['75-49=26'] Exploring Operation: 62-17=45, Resulting Numbers: [26, 45] Generated Node #3: [26, 45] from Operation: 62-17=45 Current State: 71:[26, 45], Operations: ['75-49=26', '62-17=45'] Exploring Operation: 26+45=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 9, 36, 13, 47 ]
45
[ "9*47=423", "36*13=468", "468-423=45" ]
Current State: 45:[9, 36, 13, 47], Operations: [] Exploring Operation: 9*47=423, Resulting Numbers: [36, 13, 423] Generated Node #2: [36, 13, 423] from Operation: 9*47=423 Current State: 45:[36, 13, 423], Operations: ['9*47=423'] Exploring Operation: 36*13=468, Resulting Numbers: [423, 468] Generated Node #3: [423, 468] from Operation: 36*13=468 Current State: 45:[423, 468], Operations: ['9*47=423', '36*13=468'] Exploring Operation: 468-423=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 40, 2, 25, 13 ]
76
[ "40-2=38", "25+13=38", "38+38=76" ]
Current State: 76:[40, 2, 25, 13], Operations: [] Exploring Operation: 40-2=38, Resulting Numbers: [25, 13, 38] Generated Node #2: [25, 13, 38] from Operation: 40-2=38 Current State: 76:[25, 13, 38], Operations: ['40-2=38'] Exploring Operation: 25+13=38, Resulting Numbers: [38, 38] Generated Node #3: [38, 38] from Operation: 25+13=38 Current State: 76:[38, 38], Operations: ['40-2=38', '25+13=38'] Exploring Operation: 38+38=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 78, 44, 97, 48 ]
76
[ "97-78=19", "48-44=4", "19*4=76" ]
Current State: 76:[78, 44, 97, 48], Operations: [] Exploring Operation: 97-78=19, Resulting Numbers: [44, 48, 19] Generated Node #2: [44, 48, 19] from Operation: 97-78=19 Current State: 76:[44, 48, 19], Operations: ['97-78=19'] Exploring Operation: 48-44=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 48-44=4 Current State: 76:[19, 4], Operations: ['97-78=19', '48-44=4'] Exploring Operation: 19*4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 30, 93, 51, 36 ]
78
[ "93-30=63", "51-36=15", "63+15=78" ]
Current State: 78:[30, 93, 51, 36], Operations: [] Exploring Operation: 93-30=63, Resulting Numbers: [51, 36, 63] Generated Node #2: [51, 36, 63] from Operation: 93-30=63 Current State: 78:[51, 36, 63], Operations: ['93-30=63'] Exploring Operation: 51-36=15, Resulting Numbers: [63, 15] Generated Node #3: [63, 15] from Operation: 51-36=15 Current State: 78:[63, 15], Operations: ['93-30=63', '51-36=15'] Exploring Operation: 63+15=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 80, 38, 11, 38 ]
15
[ "80-38=42", "38-11=27", "42-27=15" ]
Current State: 15:[80, 38, 11, 38], Operations: [] Exploring Operation: 80-38=42, Resulting Numbers: [11, 42] Generated Node #2: [11, 42] from Operation: 80-38=42 Current State: 15:[11, 42], Operations: ['80-38=42'] Exploring Operation: 38-11=27, Resulting Numbers: [42, 27] Generated Node #3: [42, 27] from Operation: 38-11=27 Current State: 15:[42, 27], Operations: ['80-38=42', '38-11=27'] Exploring Operation: 42-27=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 61, 4, 47, 4 ]
14
[ "61+4=65", "47+4=51", "65-51=14" ]
Current State: 14:[61, 4, 47, 4], Operations: [] Exploring Operation: 61+4=65, Resulting Numbers: [47, 65] Generated Node #2: [47, 65] from Operation: 61+4=65 Current State: 14:[47, 65], Operations: ['61+4=65'] Exploring Operation: 47+4=51, Resulting Numbers: [65, 51] Generated Node #3: [65, 51] from Operation: 47+4=51 Current State: 14:[65, 51], Operations: ['61+4=65', '47+4=51'] Exploring Operation: 65-51=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 67, 7, 55, 14 ]
19
[ "67-7=60", "55-14=41", "60-41=19" ]
Current State: 19:[67, 7, 55, 14], Operations: [] Exploring Operation: 67-7=60, Resulting Numbers: [55, 14, 60] Generated Node #2: [55, 14, 60] from Operation: 67-7=60 Current State: 19:[55, 14, 60], Operations: ['67-7=60'] Exploring Operation: 55-14=41, Resulting Numbers: [60, 41] Generated Node #3: [60, 41] from Operation: 55-14=41 Current State: 19:[60, 41], Operations: ['67-7=60', '55-14=41'] Exploring Operation: 60-41=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 42, 92, 2, 62 ]
10
[ "42+92=134", "2*62=124", "134-124=10" ]
Current State: 10:[42, 92, 2, 62], Operations: [] Exploring Operation: 42+92=134, Resulting Numbers: [2, 62, 134] Generated Node #2: [2, 62, 134] from Operation: 42+92=134 Current State: 10:[2, 62, 134], Operations: ['42+92=134'] Exploring Operation: 2*62=124, Resulting Numbers: [134, 124] Generated Node #3: [134, 124] from Operation: 2*62=124 Current State: 10:[134, 124], Operations: ['42+92=134', '2*62=124'] Exploring Operation: 134-124=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 70, 66, 61, 24 ]
81
[ "70-66=4", "61+24=85", "85-4=81" ]
Current State: 81:[70, 66, 61, 24], Operations: [] Exploring Operation: 70-66=4, Resulting Numbers: [61, 24, 4] Generated Node #2: [61, 24, 4] from Operation: 70-66=4 Current State: 81:[61, 24, 4], Operations: ['70-66=4'] Exploring Operation: 61+24=85, Resulting Numbers: [4, 85] Generated Node #3: [4, 85] from Operation: 61+24=85 Current State: 81:[4, 85], Operations: ['70-66=4', '61+24=85'] Exploring Operation: 85-4=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 42, 16, 1, 43 ]
17
[ "42-16=26", "1*43=43", "43-26=17" ]
Current State: 17:[42, 16, 1, 43], Operations: [] Exploring Operation: 42-16=26, Resulting Numbers: [1, 43, 26] Generated Node #2: [1, 43, 26] from Operation: 42-16=26 Current State: 17:[1, 43, 26], Operations: ['42-16=26'] Exploring Operation: 1*43=43, Resulting Numbers: [26, 43] Generated Node #3: [26, 43] from Operation: 1*43=43 Current State: 17:[26, 43], Operations: ['42-16=26', '1*43=43'] Exploring Operation: 43-26=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 19, 36, 23, 96 ]
31
[ "19+96=115", "115/23=5", "36-5=31" ]
Current State: 31:[19, 36, 23, 96], Operations: [] Exploring Operation: 19+96=115, Resulting Numbers: [36, 23, 115] Generated Node #2: [36, 23, 115] from Operation: 19+96=115 Current State: 31:[36, 23, 115], Operations: ['19+96=115'] Exploring Operation: 115/23=5, Resulting Numbers: [36, 5] Generated Node #3: [36, 5] from Operation: 115/23=5 Current State: 31:[36, 5], Operations: ['19+96=115', '115/23=5'] Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 72, 18, 72, 22 ]
90
[ "72/18=4", "72+22=94", "94-4=90" ]
Current State: 90:[72, 18, 72, 22], Operations: [] Exploring Operation: 72/18=4, Resulting Numbers: [22, 4] Generated Node #2: [22, 4] from Operation: 72/18=4 Current State: 90:[22, 4], Operations: ['72/18=4'] Exploring Operation: 72+22=94, Resulting Numbers: [4, 94] Generated Node #3: [4, 94] from Operation: 72+22=94 Current State: 90:[4, 94], Operations: ['72/18=4', '72+22=94'] Exploring Operation: 94-4=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 99, 96, 25, 45 ]
67
[ "99-96=3", "25+45=70", "70-3=67" ]
Current State: 67:[99, 96, 25, 45], Operations: [] Exploring Operation: 99-96=3, Resulting Numbers: [25, 45, 3] Generated Node #2: [25, 45, 3] from Operation: 99-96=3 Current State: 67:[25, 45, 3], Operations: ['99-96=3'] Exploring Operation: 25+45=70, Resulting Numbers: [3, 70] Generated Node #3: [3, 70] from Operation: 25+45=70 Current State: 67:[3, 70], Operations: ['99-96=3', '25+45=70'] Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 77, 11, 67, 44 ]
23
[ "77+11=88", "67+44=111", "111-88=23" ]
Current State: 23:[77, 11, 67, 44], Operations: [] Exploring Operation: 77+11=88, Resulting Numbers: [67, 44, 88] Generated Node #2: [67, 44, 88] from Operation: 77+11=88 Current State: 23:[67, 44, 88], Operations: ['77+11=88'] Exploring Operation: 67+44=111, Resulting Numbers: [88, 111] Generated Node #3: [88, 111] from Operation: 67+44=111 Current State: 23:[88, 111], Operations: ['77+11=88', '67+44=111'] Exploring Operation: 111-88=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 65, 13, 11, 56 ]
33
[ "65+13=78", "56-11=45", "78-45=33" ]
Current State: 33:[65, 13, 11, 56], Operations: [] Exploring Operation: 65+13=78, Resulting Numbers: [11, 56, 78] Generated Node #2: [11, 56, 78] from Operation: 65+13=78 Current State: 33:[11, 56, 78], Operations: ['65+13=78'] Exploring Operation: 56-11=45, Resulting Numbers: [78, 45] Generated Node #3: [78, 45] from Operation: 56-11=45 Current State: 33:[78, 45], Operations: ['65+13=78', '56-11=45'] Exploring Operation: 78-45=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 44, 28, 20, 32 ]
20
[ "44+28=72", "20+32=52", "72-52=20" ]
Current State: 20:[44, 28, 20, 32], Operations: [] Exploring Operation: 44+28=72, Resulting Numbers: [20, 32, 72] Generated Node #2: [20, 32, 72] from Operation: 44+28=72 Current State: 20:[20, 32, 72], Operations: ['44+28=72'] Exploring Operation: 20+32=52, Resulting Numbers: [72, 52] Generated Node #3: [72, 52] from Operation: 20+32=52 Current State: 20:[72, 52], Operations: ['44+28=72', '20+32=52'] Exploring Operation: 72-52=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 48, 82, 14, 14 ]
16
[ "82+14=96", "96/48=2", "14+2=16" ]
Current State: 16:[48, 82, 14, 14], Operations: [] Exploring Operation: 82+14=96, Resulting Numbers: [48, 96] Generated Node #2: [48, 96] from Operation: 82+14=96 Current State: 16:[48, 96], Operations: ['82+14=96'] Exploring Operation: 96/48=2, Resulting Numbers: [2] 2,16 equal: Goal Reached Exploring Operation: 14+2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 38, 53, 17, 24 ]
57
[ "53-17=36", "38*36=1368", "1368/24=57" ]
Current State: 57:[38, 53, 17, 24], Operations: [] Exploring Operation: 53-17=36, Resulting Numbers: [38, 24, 36] Generated Node #2: [38, 24, 36] from Operation: 53-17=36 Current State: 57:[38, 24, 36], Operations: ['53-17=36'] Exploring Operation: 38*36=1368, Resulting Numbers: [24, 1368] Generated Node #3: [24, 1368] from Operation: 38*36=1368 Current State: 57:[24, 1368], Operations: ['53-17=36', '38*36=1368'] Exploring Operation: 1368/24=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 67, 60, 30, 55 ]
18
[ "67-60=7", "55-30=25", "25-7=18" ]
Current State: 18:[67, 60, 30, 55], Operations: [] Exploring Operation: 67-60=7, Resulting Numbers: [30, 55, 7] Generated Node #2: [30, 55, 7] from Operation: 67-60=7 Current State: 18:[30, 55, 7], Operations: ['67-60=7'] Exploring Operation: 55-30=25, Resulting Numbers: [7, 25] Generated Node #3: [7, 25] from Operation: 55-30=25 Current State: 18:[7, 25], Operations: ['67-60=7', '55-30=25'] Exploring Operation: 25-7=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 22, 8, 77, 4 ]
97
[ "22+77=99", "8/4=2", "99-2=97" ]
Current State: 97:[22, 8, 77, 4], Operations: [] Exploring Operation: 22+77=99, Resulting Numbers: [8, 4, 99] Generated Node #2: [8, 4, 99] from Operation: 22+77=99 Current State: 97:[8, 4, 99], Operations: ['22+77=99'] Exploring Operation: 8/4=2, Resulting Numbers: [99, 2] Generated Node #3: [99, 2] from Operation: 8/4=2 Current State: 97:[99, 2], Operations: ['22+77=99', '8/4=2'] Exploring Operation: 99-2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 17, 79, 6, 83 ]
74
[ "83-79=4", "17*4=68", "6+68=74" ]
Current State: 74:[17, 79, 6, 83], Operations: [] Exploring Operation: 83-79=4, Resulting Numbers: [17, 6, 4] Generated Node #2: [17, 6, 4] from Operation: 83-79=4 Current State: 74:[17, 6, 4], Operations: ['83-79=4'] Exploring Operation: 17*4=68, Resulting Numbers: [6, 68] Generated Node #3: [6, 68] from Operation: 17*4=68 Current State: 74:[6, 68], Operations: ['83-79=4', '17*4=68'] Exploring Operation: 6+68=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 12, 4, 35, 96 ]
67
[ "12/4=3", "96/3=32", "35+32=67" ]
Current State: 67:[12, 4, 35, 96], Operations: [] Exploring Operation: 12/4=3, Resulting Numbers: [35, 96, 3] Generated Node #2: [35, 96, 3] from Operation: 12/4=3 Current State: 67:[35, 96, 3], Operations: ['12/4=3'] Exploring Operation: 96/3=32, Resulting Numbers: [35, 32] Generated Node #3: [35, 32] from Operation: 96/3=32 Current State: 67:[35, 32], Operations: ['12/4=3', '96/3=32'] Exploring Operation: 35+32=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 33, 8, 52, 30 ]
57
[ "33-8=25", "52+30=82", "82-25=57" ]
Current State: 57:[33, 8, 52, 30], Operations: [] Exploring Operation: 33-8=25, Resulting Numbers: [52, 30, 25] Generated Node #2: [52, 30, 25] from Operation: 33-8=25 Current State: 57:[52, 30, 25], Operations: ['33-8=25'] Exploring Operation: 52+30=82, Resulting Numbers: [25, 82] Generated Node #3: [25, 82] from Operation: 52+30=82 Current State: 57:[25, 82], Operations: ['33-8=25', '52+30=82'] Exploring Operation: 82-25=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 97, 2, 95, 53 ]
73
[ "97-53=44", "44/2=22", "95-22=73" ]
Current State: 73:[97, 2, 95, 53], Operations: [] Exploring Operation: 97-53=44, Resulting Numbers: [2, 95, 44] Generated Node #2: [2, 95, 44] from Operation: 97-53=44 Current State: 73:[2, 95, 44], Operations: ['97-53=44'] Exploring Operation: 44/2=22, Resulting Numbers: [95, 22] Generated Node #3: [95, 22] from Operation: 44/2=22 Current State: 73:[95, 22], Operations: ['97-53=44', '44/2=22'] Exploring Operation: 95-22=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 87, 10, 69, 58 ]
87
[ "69-10=59", "59-58=1", "87*1=87" ]
Current State: 87:[87, 10, 69, 58], Operations: [] Exploring Operation: 69-10=59, Resulting Numbers: [87, 58, 59] Generated Node #2: [87, 58, 59] from Operation: 69-10=59 Current State: 87:[87, 58, 59], Operations: ['69-10=59'] Exploring Operation: 59-58=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 59-58=1 Current State: 87:[87, 1], Operations: ['69-10=59', '59-58=1'] Exploring Operation: 87*1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 93, 66, 77, 50 ]
13
[ "93+50=143", "77-66=11", "143/11=13" ]
Current State: 13:[93, 66, 77, 50], Operations: [] Exploring Operation: 93+50=143, Resulting Numbers: [66, 77, 143] Generated Node #2: [66, 77, 143] from Operation: 93+50=143 Current State: 13:[66, 77, 143], Operations: ['93+50=143'] Exploring Operation: 77-66=11, Resulting Numbers: [143, 11] Generated Node #3: [143, 11] from Operation: 77-66=11 Current State: 13:[143, 11], Operations: ['93+50=143', '77-66=11'] Exploring Operation: 143/11=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 7, 29, 97, 56 ]
76
[ "56/7=8", "97-29=68", "8+68=76" ]
Current State: 76:[7, 29, 97, 56], Operations: [] Exploring Operation: 56/7=8, Resulting Numbers: [29, 97, 8] Generated Node #2: [29, 97, 8] from Operation: 56/7=8 Current State: 76:[29, 97, 8], Operations: ['56/7=8'] Exploring Operation: 97-29=68, Resulting Numbers: [8, 68] Generated Node #3: [8, 68] from Operation: 97-29=68 Current State: 76:[8, 68], Operations: ['56/7=8', '97-29=68'] Exploring Operation: 8+68=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 69, 84, 8, 4 ]
24
[ "69*4=276", "276-84=192", "192/8=24" ]
Current State: 24:[69, 84, 8, 4], Operations: [] Exploring Operation: 69*4=276, Resulting Numbers: [84, 8, 276] Generated Node #2: [84, 8, 276] from Operation: 69*4=276 Current State: 24:[84, 8, 276], Operations: ['69*4=276'] Exploring Operation: 276-84=192, Resulting Numbers: [8, 192] Generated Node #3: [8, 192] from Operation: 276-84=192 Current State: 24:[8, 192], Operations: ['69*4=276', '276-84=192'] Exploring Operation: 192/8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 24, 20, 54, 37 ]
47
[ "24+20=44", "54+37=91", "91-44=47" ]
Current State: 47:[24, 20, 54, 37], Operations: [] Exploring Operation: 24+20=44, Resulting Numbers: [54, 37, 44] Generated Node #2: [54, 37, 44] from Operation: 24+20=44 Current State: 47:[54, 37, 44], Operations: ['24+20=44'] Exploring Operation: 54+37=91, Resulting Numbers: [44, 91] Generated Node #3: [44, 91] from Operation: 54+37=91 Current State: 47:[44, 91], Operations: ['24+20=44', '54+37=91'] Exploring Operation: 91-44=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 61, 57, 71, 2 ]
63
[ "61-57=4", "2*4=8", "71-8=63" ]
Current State: 63:[61, 57, 71, 2], Operations: [] Exploring Operation: 61-57=4, Resulting Numbers: [71, 2, 4] Generated Node #2: [71, 2, 4] from Operation: 61-57=4 Current State: 63:[71, 2, 4], Operations: ['61-57=4'] Exploring Operation: 2*4=8, Resulting Numbers: [71, 8] Generated Node #3: [71, 8] from Operation: 2*4=8 Current State: 63:[71, 8], Operations: ['61-57=4', '2*4=8'] Exploring Operation: 71-8=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 4, 18, 69, 32 ]
35
[ "4*18=72", "69-32=37", "72-37=35" ]
Current State: 35:[4, 18, 69, 32], Operations: [] Exploring Operation: 4*18=72, Resulting Numbers: [69, 32, 72] Generated Node #2: [69, 32, 72] from Operation: 4*18=72 Current State: 35:[69, 32, 72], Operations: ['4*18=72'] Exploring Operation: 69-32=37, Resulting Numbers: [72, 37] Generated Node #3: [72, 37] from Operation: 69-32=37 Current State: 35:[72, 37], Operations: ['4*18=72', '69-32=37'] Exploring Operation: 72-37=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 9, 11, 12, 19 ]
98
[ "19-9=10", "11*10=110", "110-12=98" ]
Current State: 98:[9, 11, 12, 19], Operations: [] Exploring Operation: 19-9=10, Resulting Numbers: [11, 12, 10] Generated Node #2: [11, 12, 10] from Operation: 19-9=10 Current State: 98:[11, 12, 10], Operations: ['19-9=10'] Exploring Operation: 11*10=110, Resulting Numbers: [12, 110] Generated Node #3: [12, 110] from Operation: 11*10=110 Current State: 98:[12, 110], Operations: ['19-9=10', '11*10=110'] Exploring Operation: 110-12=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 41, 85, 53, 68 ]
51
[ "41*68=2788", "2788-85=2703", "2703/53=51" ]
Current State: 51:[41, 85, 53, 68], Operations: [] Exploring Operation: 41*68=2788, Resulting Numbers: [85, 53, 2788] Generated Node #2: [85, 53, 2788] from Operation: 41*68=2788 Current State: 51:[85, 53, 2788], Operations: ['41*68=2788'] Exploring Operation: 2788-85=2703, Resulting Numbers: [53, 2703] Generated Node #3: [53, 2703] from Operation: 2788-85=2703 Current State: 51:[53, 2703], Operations: ['41*68=2788', '2788-85=2703'] Exploring Operation: 2703/53=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 17, 38, 59, 64 ]
47
[ "64-59=5", "17*5=85", "85-38=47" ]
Current State: 47:[17, 38, 59, 64], Operations: [] Exploring Operation: 64-59=5, Resulting Numbers: [17, 38, 5] Generated Node #2: [17, 38, 5] from Operation: 64-59=5 Current State: 47:[17, 38, 5], Operations: ['64-59=5'] Exploring Operation: 17*5=85, Resulting Numbers: [38, 85] Generated Node #3: [38, 85] from Operation: 17*5=85 Current State: 47:[38, 85], Operations: ['64-59=5', '17*5=85'] Exploring Operation: 85-38=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 6, 34, 70, 90 ]
21
[ "90/6=15", "70-34=36", "36-15=21" ]
Current State: 21:[6, 34, 70, 90], Operations: [] Exploring Operation: 90/6=15, Resulting Numbers: [34, 70, 15] Generated Node #2: [34, 70, 15] from Operation: 90/6=15 Current State: 21:[34, 70, 15], Operations: ['90/6=15'] Exploring Operation: 70-34=36, Resulting Numbers: [15, 36] Generated Node #3: [15, 36] from Operation: 70-34=36 Current State: 21:[15, 36], Operations: ['90/6=15', '70-34=36'] Exploring Operation: 36-15=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 73, 16, 42, 89 ]
41
[ "73+16=89", "89/89=1", "42-1=41" ]
Current State: 41:[73, 16, 42, 89], Operations: [] Exploring Operation: 73+16=89, Resulting Numbers: [42, 89, 89] Generated Node #2: [42, 89, 89] from Operation: 73+16=89 Current State: 41:[42, 89, 89], Operations: ['73+16=89'] Exploring Operation: 89/89=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 89/89=1 Current State: 41:[42, 1], Operations: ['73+16=89', '89/89=1'] Exploring Operation: 42-1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 50, 65, 25, 42 ]
44
[ "50/25=2", "42/2=21", "65-21=44" ]
Current State: 44:[50, 65, 25, 42], Operations: [] Exploring Operation: 50/25=2, Resulting Numbers: [65, 42, 2] Generated Node #2: [65, 42, 2] from Operation: 50/25=2 Current State: 44:[65, 42, 2], Operations: ['50/25=2'] Exploring Operation: 42/2=21, Resulting Numbers: [65, 21] Generated Node #3: [65, 21] from Operation: 42/2=21 Current State: 44:[65, 21], Operations: ['50/25=2', '42/2=21'] Exploring Operation: 65-21=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 59, 61, 12, 48 ]
54
[ "61-59=2", "12/2=6", "48+6=54" ]
Current State: 54:[59, 61, 12, 48], Operations: [] Exploring Operation: 61-59=2, Resulting Numbers: [12, 48, 2] Generated Node #2: [12, 48, 2] from Operation: 61-59=2 Current State: 54:[12, 48, 2], Operations: ['61-59=2'] Exploring Operation: 12/2=6, Resulting Numbers: [48, 6] Generated Node #3: [48, 6] from Operation: 12/2=6 Current State: 54:[48, 6], Operations: ['61-59=2', '12/2=6'] Exploring Operation: 48+6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 74, 69, 2, 47 ]
17
[ "74+47=121", "69*2=138", "138-121=17" ]
Current State: 17:[74, 69, 2, 47], Operations: [] Exploring Operation: 74+47=121, Resulting Numbers: [69, 2, 121] Generated Node #2: [69, 2, 121] from Operation: 74+47=121 Current State: 17:[69, 2, 121], Operations: ['74+47=121'] Exploring Operation: 69*2=138, Resulting Numbers: [121, 138] Generated Node #3: [121, 138] from Operation: 69*2=138 Current State: 17:[121, 138], Operations: ['74+47=121', '69*2=138'] Exploring Operation: 138-121=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 34, 31, 40, 14 ]
29
[ "34-31=3", "40-14=26", "3+26=29" ]
Current State: 29:[34, 31, 40, 14], Operations: [] Exploring Operation: 34-31=3, Resulting Numbers: [40, 14, 3] Generated Node #2: [40, 14, 3] from Operation: 34-31=3 Current State: 29:[40, 14, 3], Operations: ['34-31=3'] Exploring Operation: 40-14=26, Resulting Numbers: [3, 26] Generated Node #3: [3, 26] from Operation: 40-14=26 Current State: 29:[3, 26], Operations: ['34-31=3', '40-14=26'] Exploring Operation: 3+26=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 49, 6, 18, 20 ]
89
[ "49-18=31", "6*20=120", "120-31=89" ]
Current State: 89:[49, 6, 18, 20], Operations: [] Exploring Operation: 49-18=31, Resulting Numbers: [6, 20, 31] Generated Node #2: [6, 20, 31] from Operation: 49-18=31 Current State: 89:[6, 20, 31], Operations: ['49-18=31'] Exploring Operation: 6*20=120, Resulting Numbers: [31, 120] Generated Node #3: [31, 120] from Operation: 6*20=120 Current State: 89:[31, 120], Operations: ['49-18=31', '6*20=120'] Exploring Operation: 120-31=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 88, 23, 58, 42 ]
56
[ "88-42=46", "46/23=2", "58-2=56" ]
Current State: 56:[88, 23, 58, 42], Operations: [] Exploring Operation: 88-42=46, Resulting Numbers: [23, 58, 46] Generated Node #2: [23, 58, 46] from Operation: 88-42=46 Current State: 56:[23, 58, 46], Operations: ['88-42=46'] Exploring Operation: 46/23=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 46/23=2 Current State: 56:[58, 2], Operations: ['88-42=46', '46/23=2'] Exploring Operation: 58-2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 32, 36, 72, 44 ]
74
[ "32+44=76", "72/36=2", "76-2=74" ]
Current State: 74:[32, 36, 72, 44], Operations: [] Exploring Operation: 32+44=76, Resulting Numbers: [36, 72, 76] Generated Node #2: [36, 72, 76] from Operation: 32+44=76 Current State: 74:[36, 72, 76], Operations: ['32+44=76'] Exploring Operation: 72/36=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 72/36=2 Current State: 74:[76, 2], Operations: ['32+44=76', '72/36=2'] Exploring Operation: 76-2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 46, 91, 9, 25 ]
30
[ "91-46=45", "45/9=5", "25+5=30" ]
Current State: 30:[46, 91, 9, 25], Operations: [] Exploring Operation: 91-46=45, Resulting Numbers: [9, 25, 45] Generated Node #2: [9, 25, 45] from Operation: 91-46=45 Current State: 30:[9, 25, 45], Operations: ['91-46=45'] Exploring Operation: 45/9=5, Resulting Numbers: [25, 5] Generated Node #3: [25, 5] from Operation: 45/9=5 Current State: 30:[25, 5], Operations: ['91-46=45', '45/9=5'] Exploring Operation: 25+5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 76, 4, 22, 55 ]
39
[ "76-4=72", "55-22=33", "72-33=39" ]
Current State: 39:[76, 4, 22, 55], Operations: [] Exploring Operation: 76-4=72, Resulting Numbers: [22, 55, 72] Generated Node #2: [22, 55, 72] from Operation: 76-4=72 Current State: 39:[22, 55, 72], Operations: ['76-4=72'] Exploring Operation: 55-22=33, Resulting Numbers: [72, 33] Generated Node #3: [72, 33] from Operation: 55-22=33 Current State: 39:[72, 33], Operations: ['76-4=72', '55-22=33'] Exploring Operation: 72-33=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 15, 2, 32, 92 ]
94
[ "15*2=30", "32+92=124", "124-30=94" ]
Current State: 94:[15, 2, 32, 92], Operations: [] Exploring Operation: 15*2=30, Resulting Numbers: [32, 92, 30] Generated Node #2: [32, 92, 30] from Operation: 15*2=30 Current State: 94:[32, 92, 30], Operations: ['15*2=30'] Exploring Operation: 32+92=124, Resulting Numbers: [30, 124] Generated Node #3: [30, 124] from Operation: 32+92=124 Current State: 94:[30, 124], Operations: ['15*2=30', '32+92=124'] Exploring Operation: 124-30=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 30, 25, 88, 80 ]
50
[ "30+25=55", "80*55=4400", "4400/88=50" ]
Current State: 50:[30, 25, 88, 80], Operations: [] Exploring Operation: 30+25=55, Resulting Numbers: [88, 80, 55] Generated Node #2: [88, 80, 55] from Operation: 30+25=55 Current State: 50:[88, 80, 55], Operations: ['30+25=55'] Exploring Operation: 80*55=4400, Resulting Numbers: [88, 4400] Generated Node #3: [88, 4400] from Operation: 80*55=4400 Current State: 50:[88, 4400], Operations: ['30+25=55', '80*55=4400'] Exploring Operation: 4400/88=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 80, 82, 84, 44 ]
64
[ "82-80=2", "84+44=128", "128/2=64" ]
Current State: 64:[80, 82, 84, 44], Operations: [] Exploring Operation: 82-80=2, Resulting Numbers: [84, 44, 2] Generated Node #2: [84, 44, 2] from Operation: 82-80=2 Current State: 64:[84, 44, 2], Operations: ['82-80=2'] Exploring Operation: 84+44=128, Resulting Numbers: [2, 128] Generated Node #3: [2, 128] from Operation: 84+44=128 Current State: 64:[2, 128], Operations: ['82-80=2', '84+44=128'] Exploring Operation: 128/2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 49, 35, 28, 68 ]
54
[ "49-35=14", "68-28=40", "14+40=54" ]
Current State: 54:[49, 35, 28, 68], Operations: [] Exploring Operation: 49-35=14, Resulting Numbers: [28, 68, 14] Generated Node #2: [28, 68, 14] from Operation: 49-35=14 Current State: 54:[28, 68, 14], Operations: ['49-35=14'] Exploring Operation: 68-28=40, Resulting Numbers: [14, 40] Generated Node #3: [14, 40] from Operation: 68-28=40 Current State: 54:[14, 40], Operations: ['49-35=14', '68-28=40'] Exploring Operation: 14+40=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 42, 16, 52, 14 ]
68
[ "16-14=2", "52/2=26", "42+26=68" ]
Current State: 68:[42, 16, 52, 14], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [42, 52, 2] Generated Node #2: [42, 52, 2] from Operation: 16-14=2 Current State: 68:[42, 52, 2], Operations: ['16-14=2'] Exploring Operation: 52/2=26, Resulting Numbers: [42, 26] Generated Node #3: [42, 26] from Operation: 52/2=26 Current State: 68:[42, 26], Operations: ['16-14=2', '52/2=26'] Exploring Operation: 42+26=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 89, 62, 55, 89 ]
61
[ "89-62=27", "89-55=34", "27+34=61" ]
Current State: 61:[89, 62, 55, 89], Operations: [] Exploring Operation: 89-62=27, Resulting Numbers: [55, 27] Generated Node #2: [55, 27] from Operation: 89-62=27 Current State: 61:[55, 27], Operations: ['89-62=27'] Exploring Operation: 89-55=34, Resulting Numbers: [27, 34] Generated Node #3: [27, 34] from Operation: 89-55=34 Current State: 61:[27, 34], Operations: ['89-62=27', '89-55=34'] Exploring Operation: 27+34=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 5, 73, 97, 20 ]
30
[ "73+97=170", "170-20=150", "150/5=30" ]
Current State: 30:[5, 73, 97, 20], Operations: [] Exploring Operation: 73+97=170, Resulting Numbers: [5, 20, 170] Generated Node #2: [5, 20, 170] from Operation: 73+97=170 Current State: 30:[5, 20, 170], Operations: ['73+97=170'] Exploring Operation: 170-20=150, Resulting Numbers: [5, 150] Generated Node #3: [5, 150] from Operation: 170-20=150 Current State: 30:[5, 150], Operations: ['73+97=170', '170-20=150'] Exploring Operation: 150/5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 34, 77, 30, 21 ]
14
[ "34-30=4", "77-21=56", "56/4=14" ]
Current State: 14:[34, 77, 30, 21], Operations: [] Exploring Operation: 34-30=4, Resulting Numbers: [77, 21, 4] Generated Node #2: [77, 21, 4] from Operation: 34-30=4 Current State: 14:[77, 21, 4], Operations: ['34-30=4'] Exploring Operation: 77-21=56, Resulting Numbers: [4, 56] Generated Node #3: [4, 56] from Operation: 77-21=56 Current State: 14:[4, 56], Operations: ['34-30=4', '77-21=56'] Exploring Operation: 56/4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 20, 56, 78, 18 ]
59
[ "78-18=60", "60/20=3", "56+3=59" ]
Current State: 59:[20, 56, 78, 18], Operations: [] Exploring Operation: 78-18=60, Resulting Numbers: [20, 56, 60] Generated Node #2: [20, 56, 60] from Operation: 78-18=60 Current State: 59:[20, 56, 60], Operations: ['78-18=60'] Exploring Operation: 60/20=3, Resulting Numbers: [56, 3] Generated Node #3: [56, 3] from Operation: 60/20=3 Current State: 59:[56, 3], Operations: ['78-18=60', '60/20=3'] Exploring Operation: 56+3=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 4, 29, 18, 6 ]
76
[ "6-4=2", "29*2=58", "18+58=76" ]
Current State: 76:[4, 29, 18, 6], Operations: [] Exploring Operation: 6-4=2, Resulting Numbers: [29, 18, 2] Generated Node #2: [29, 18, 2] from Operation: 6-4=2 Current State: 76:[29, 18, 2], Operations: ['6-4=2'] Exploring Operation: 29*2=58, Resulting Numbers: [18, 58] Generated Node #3: [18, 58] from Operation: 29*2=58 Current State: 76:[18, 58], Operations: ['6-4=2', '29*2=58'] Exploring Operation: 18+58=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 76, 27, 29, 80 ]
36
[ "29-27=2", "80/2=40", "76-40=36" ]
Current State: 36:[76, 27, 29, 80], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [76, 80, 2] Generated Node #2: [76, 80, 2] from Operation: 29-27=2 Current State: 36:[76, 80, 2], Operations: ['29-27=2'] Exploring Operation: 80/2=40, Resulting Numbers: [76, 40] Generated Node #3: [76, 40] from Operation: 80/2=40 Current State: 36:[76, 40], Operations: ['29-27=2', '80/2=40'] Exploring Operation: 76-40=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 63, 23, 46, 22 ]
74
[ "46/23=2", "22/2=11", "63+11=74" ]
Current State: 74:[63, 23, 46, 22], Operations: [] Exploring Operation: 46/23=2, Resulting Numbers: [63, 22, 2] Generated Node #2: [63, 22, 2] from Operation: 46/23=2 Current State: 74:[63, 22, 2], Operations: ['46/23=2'] Exploring Operation: 22/2=11, Resulting Numbers: [63, 11] Generated Node #3: [63, 11] from Operation: 22/2=11 Current State: 74:[63, 11], Operations: ['46/23=2', '22/2=11'] Exploring Operation: 63+11=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 91, 48, 22, 16 ]
56
[ "91*16=1456", "48-22=26", "1456/26=56" ]
Current State: 56:[91, 48, 22, 16], Operations: [] Exploring Operation: 91*16=1456, Resulting Numbers: [48, 22, 1456] Generated Node #2: [48, 22, 1456] from Operation: 91*16=1456 Current State: 56:[48, 22, 1456], Operations: ['91*16=1456'] Exploring Operation: 48-22=26, Resulting Numbers: [1456, 26] Generated Node #3: [1456, 26] from Operation: 48-22=26 Current State: 56:[1456, 26], Operations: ['91*16=1456', '48-22=26'] Exploring Operation: 1456/26=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 30, 25, 3, 21 ]
90
[ "30-25=5", "21-3=18", "5*18=90" ]
Current State: 90:[30, 25, 3, 21], Operations: [] Exploring Operation: 30-25=5, Resulting Numbers: [3, 21, 5] Generated Node #2: [3, 21, 5] from Operation: 30-25=5 Current State: 90:[3, 21, 5], Operations: ['30-25=5'] Exploring Operation: 21-3=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 21-3=18 Current State: 90:[5, 18], Operations: ['30-25=5', '21-3=18'] Exploring Operation: 5*18=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 44, 99, 22, 11 ]
75
[ "44+22=66", "99/11=9", "66+9=75" ]
Current State: 75:[44, 99, 22, 11], Operations: [] Exploring Operation: 44+22=66, Resulting Numbers: [99, 11, 66] Generated Node #2: [99, 11, 66] from Operation: 44+22=66 Current State: 75:[99, 11, 66], Operations: ['44+22=66'] Exploring Operation: 99/11=9, Resulting Numbers: [66, 9] Generated Node #3: [66, 9] from Operation: 99/11=9 Current State: 75:[66, 9], Operations: ['44+22=66', '99/11=9'] Exploring Operation: 66+9=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 24, 74, 74, 13 ]
37
[ "24+74=98", "74-13=61", "98-61=37" ]
Current State: 37:[24, 74, 74, 13], Operations: [] Exploring Operation: 24+74=98, Resulting Numbers: [13, 98] Generated Node #2: [13, 98] from Operation: 24+74=98 Current State: 37:[13, 98], Operations: ['24+74=98'] Exploring Operation: 74-13=61, Resulting Numbers: [98, 61] Generated Node #3: [98, 61] from Operation: 74-13=61 Current State: 37:[98, 61], Operations: ['24+74=98', '74-13=61'] Exploring Operation: 98-61=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 16, 17, 3, 83 ]
28
[ "17-16=1", "83+1=84", "84/3=28" ]
Current State: 28:[16, 17, 3, 83], Operations: [] Exploring Operation: 17-16=1, Resulting Numbers: [3, 83, 1] Generated Node #2: [3, 83, 1] from Operation: 17-16=1 Current State: 28:[3, 83, 1], Operations: ['17-16=1'] Exploring Operation: 83+1=84, Resulting Numbers: [3, 84] Generated Node #3: [3, 84] from Operation: 83+1=84 Current State: 28:[3, 84], Operations: ['17-16=1', '83+1=84'] Exploring Operation: 84/3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 39, 22, 64, 97 ]
94
[ "39+22=61", "97-64=33", "61+33=94" ]
Current State: 94:[39, 22, 64, 97], Operations: [] Exploring Operation: 39+22=61, Resulting Numbers: [64, 97, 61] Generated Node #2: [64, 97, 61] from Operation: 39+22=61 Current State: 94:[64, 97, 61], Operations: ['39+22=61'] Exploring Operation: 97-64=33, Resulting Numbers: [61, 33] Generated Node #3: [61, 33] from Operation: 97-64=33 Current State: 94:[61, 33], Operations: ['39+22=61', '97-64=33'] Exploring Operation: 61+33=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 6, 5, 18, 62 ]
58
[ "6+18=24", "5*24=120", "120-62=58" ]
Current State: 58:[6, 5, 18, 62], Operations: [] Exploring Operation: 6+18=24, Resulting Numbers: [5, 62, 24] Generated Node #2: [5, 62, 24] from Operation: 6+18=24 Current State: 58:[5, 62, 24], Operations: ['6+18=24'] Exploring Operation: 5*24=120, Resulting Numbers: [62, 120] Generated Node #3: [62, 120] from Operation: 5*24=120 Current State: 58:[62, 120], Operations: ['6+18=24', '5*24=120'] Exploring Operation: 120-62=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 79, 91, 20, 19 ]
51
[ "91-79=12", "20+19=39", "12+39=51" ]
Current State: 51:[79, 91, 20, 19], Operations: [] Exploring Operation: 91-79=12, Resulting Numbers: [20, 19, 12] Generated Node #2: [20, 19, 12] from Operation: 91-79=12 Current State: 51:[20, 19, 12], Operations: ['91-79=12'] Exploring Operation: 20+19=39, Resulting Numbers: [12, 39] Generated Node #3: [12, 39] from Operation: 20+19=39 Current State: 51:[12, 39], Operations: ['91-79=12', '20+19=39'] Exploring Operation: 12+39=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 12, 57, 37, 45 ]
29
[ "37*45=1665", "1665-12=1653", "1653/57=29" ]
Current State: 29:[12, 57, 37, 45], Operations: [] Exploring Operation: 37*45=1665, Resulting Numbers: [12, 57, 1665] Generated Node #2: [12, 57, 1665] from Operation: 37*45=1665 Current State: 29:[12, 57, 1665], Operations: ['37*45=1665'] Exploring Operation: 1665-12=1653, Resulting Numbers: [57, 1653] Generated Node #3: [57, 1653] from Operation: 1665-12=1653 Current State: 29:[57, 1653], Operations: ['37*45=1665', '1665-12=1653'] Exploring Operation: 1653/57=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 22, 1, 98, 24 ]
51
[ "22+1=23", "98-24=74", "74-23=51" ]
Current State: 51:[22, 1, 98, 24], Operations: [] Exploring Operation: 22+1=23, Resulting Numbers: [98, 24, 23] Generated Node #2: [98, 24, 23] from Operation: 22+1=23 Current State: 51:[98, 24, 23], Operations: ['22+1=23'] Exploring Operation: 98-24=74, Resulting Numbers: [23, 74] Generated Node #3: [23, 74] from Operation: 98-24=74 Current State: 51:[23, 74], Operations: ['22+1=23', '98-24=74'] Exploring Operation: 74-23=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 71, 56, 32, 7 ]
31
[ "71-32=39", "56/7=8", "39-8=31" ]
Current State: 31:[71, 56, 32, 7], Operations: [] Exploring Operation: 71-32=39, Resulting Numbers: [56, 7, 39] Generated Node #2: [56, 7, 39] from Operation: 71-32=39 Current State: 31:[56, 7, 39], Operations: ['71-32=39'] Exploring Operation: 56/7=8, Resulting Numbers: [39, 8] Generated Node #3: [39, 8] from Operation: 56/7=8 Current State: 31:[39, 8], Operations: ['71-32=39', '56/7=8'] Exploring Operation: 39-8=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4