Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 58, 50, 95, 54 ]
33
[ "58-50=8", "95-54=41", "41-8=33" ]
Current State: 33:[58, 50, 95, 54], Operations: [] Exploring Operation: 58-50=8, Resulting Numbers: [95, 54, 8] Generated Node #2: [95, 54, 8] from Operation: 58-50=8 Current State: 33:[95, 54, 8], Operations: ['58-50=8'] Exploring Operation: 95-54=41, Resulting Numbers: [8, 41] Generated Node #3: [8, 41] from Operation: 95-54=41 Current State: 33:[8, 41], Operations: ['58-50=8', '95-54=41'] Exploring Operation: 41-8=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 22, 35, 20, 44 ]
26
[ "22-20=2", "35*2=70", "70-44=26" ]
Current State: 26:[22, 35, 20, 44], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [35, 44, 2] Generated Node #2: [35, 44, 2] from Operation: 22-20=2 Current State: 26:[35, 44, 2], Operations: ['22-20=2'] Exploring Operation: 35*2=70, Resulting Numbers: [44, 70] Generated Node #3: [44, 70] from Operation: 35*2=70 Current State: 26:[44, 70], Operations: ['22-20=2', '35*2=70'] Exploring Operation: 70-44=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 1, 7, 71, 28 ]
51
[ "1+7=8", "71-28=43", "8+43=51" ]
Current State: 51:[1, 7, 71, 28], Operations: [] Exploring Operation: 1+7=8, Resulting Numbers: [71, 28, 8] Generated Node #2: [71, 28, 8] from Operation: 1+7=8 Current State: 51:[71, 28, 8], Operations: ['1+7=8'] Exploring Operation: 71-28=43, Resulting Numbers: [8, 43] Generated Node #3: [8, 43] from Operation: 71-28=43 Current State: 51:[8, 43], Operations: ['1+7=8', '71-28=43'] Exploring Operation: 8+43=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 18, 43, 19, 61 ]
17
[ "43-18=25", "61-19=42", "42-25=17" ]
Current State: 17:[18, 43, 19, 61], Operations: [] Exploring Operation: 43-18=25, Resulting Numbers: [19, 61, 25] Generated Node #2: [19, 61, 25] from Operation: 43-18=25 Current State: 17:[19, 61, 25], Operations: ['43-18=25'] Exploring Operation: 61-19=42, Resulting Numbers: [25, 42] Generated Node #3: [25, 42] from Operation: 61-19=42 Current State: 17:[25, 42], Operations: ['43-18=25', '61-19=42'] Exploring Operation: 42-25=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 44, 1, 6, 37 ]
43
[ "44-37=7", "6*7=42", "1+42=43" ]
Current State: 43:[44, 1, 6, 37], Operations: [] Exploring Operation: 44-37=7, Resulting Numbers: [1, 6, 7] Generated Node #2: [1, 6, 7] from Operation: 44-37=7 Current State: 43:[1, 6, 7], Operations: ['44-37=7'] Exploring Operation: 6*7=42, Resulting Numbers: [1, 42] Generated Node #3: [1, 42] from Operation: 6*7=42 Current State: 43:[1, 42], Operations: ['44-37=7', '6*7=42'] Exploring Operation: 1+42=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 20, 78, 18, 74 ]
92
[ "78-74=4", "18*4=72", "20+72=92" ]
Current State: 92:[20, 78, 18, 74], Operations: [] Exploring Operation: 78-74=4, Resulting Numbers: [20, 18, 4] Generated Node #2: [20, 18, 4] from Operation: 78-74=4 Current State: 92:[20, 18, 4], Operations: ['78-74=4'] Exploring Operation: 18*4=72, Resulting Numbers: [20, 72] Generated Node #3: [20, 72] from Operation: 18*4=72 Current State: 92:[20, 72], Operations: ['78-74=4', '18*4=72'] Exploring Operation: 20+72=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 10, 80, 88, 37 ]
43
[ "80/10=8", "88-37=51", "51-8=43" ]
Current State: 43:[10, 80, 88, 37], Operations: [] Exploring Operation: 80/10=8, Resulting Numbers: [88, 37, 8] Generated Node #2: [88, 37, 8] from Operation: 80/10=8 Current State: 43:[88, 37, 8], Operations: ['80/10=8'] Exploring Operation: 88-37=51, Resulting Numbers: [8, 51] Generated Node #3: [8, 51] from Operation: 88-37=51 Current State: 43:[8, 51], Operations: ['80/10=8', '88-37=51'] Exploring Operation: 51-8=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 23, 17, 66, 14 ]
40
[ "23+17=40", "66+14=80", "80-40=40" ]
Current State: 40:[23, 17, 66, 14], Operations: [] Exploring Operation: 23+17=40, Resulting Numbers: [66, 14, 40] Generated Node #2: [66, 14, 40] from Operation: 23+17=40 Current State: 40:[66, 14, 40], Operations: ['23+17=40'] Exploring Operation: 66+14=80, Resulting Numbers: [40, 80] Generated Node #3: [40, 80] from Operation: 66+14=80 Current State: 40:[40, 80], Operations: ['23+17=40', '66+14=80'] Exploring Operation: 80-40=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 43, 30, 76, 40 ]
49
[ "43-30=13", "76-40=36", "13+36=49" ]
Current State: 49:[43, 30, 76, 40], Operations: [] Exploring Operation: 43-30=13, Resulting Numbers: [76, 40, 13] Generated Node #2: [76, 40, 13] from Operation: 43-30=13 Current State: 49:[76, 40, 13], Operations: ['43-30=13'] Exploring Operation: 76-40=36, Resulting Numbers: [13, 36] Generated Node #3: [13, 36] from Operation: 76-40=36 Current State: 49:[13, 36], Operations: ['43-30=13', '76-40=36'] Exploring Operation: 13+36=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 39, 5, 17, 36 ]
25
[ "39+5=44", "36-17=19", "44-19=25" ]
Current State: 25:[39, 5, 17, 36], Operations: [] Exploring Operation: 39+5=44, Resulting Numbers: [17, 36, 44] Generated Node #2: [17, 36, 44] from Operation: 39+5=44 Current State: 25:[17, 36, 44], Operations: ['39+5=44'] Exploring Operation: 36-17=19, Resulting Numbers: [44, 19] Generated Node #3: [44, 19] from Operation: 36-17=19 Current State: 25:[44, 19], Operations: ['39+5=44', '36-17=19'] Exploring Operation: 44-19=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 83, 53, 91, 83 ]
39
[ "83/83=1", "91-53=38", "1+38=39" ]
Current State: 39:[83, 53, 91, 83], Operations: [] Exploring Operation: 83/83=1, Resulting Numbers: [53, 91, 1] Generated Node #2: [53, 91, 1] from Operation: 83/83=1 Current State: 39:[53, 91, 1], Operations: ['83/83=1'] Exploring Operation: 91-53=38, Resulting Numbers: [1, 38] Generated Node #3: [1, 38] from Operation: 91-53=38 Current State: 39:[1, 38], Operations: ['83/83=1', '91-53=38'] Exploring Operation: 1+38=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 14, 7, 33, 27 ]
58
[ "14/7=2", "33+27=60", "60-2=58" ]
Current State: 58:[14, 7, 33, 27], Operations: [] Exploring Operation: 14/7=2, Resulting Numbers: [33, 27, 2] Generated Node #2: [33, 27, 2] from Operation: 14/7=2 Current State: 58:[33, 27, 2], Operations: ['14/7=2'] Exploring Operation: 33+27=60, Resulting Numbers: [2, 60] Generated Node #3: [2, 60] from Operation: 33+27=60 Current State: 58:[2, 60], Operations: ['14/7=2', '33+27=60'] Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 1, 24, 27, 2 ]
33
[ "1+2=3", "27/3=9", "24+9=33" ]
Current State: 33:[1, 24, 27, 2], Operations: [] Exploring Operation: 1+2=3, Resulting Numbers: [24, 27, 3] Generated Node #2: [24, 27, 3] from Operation: 1+2=3 Current State: 33:[24, 27, 3], Operations: ['1+2=3'] Exploring Operation: 27/3=9, Resulting Numbers: [24, 9] Generated Node #3: [24, 9] from Operation: 27/3=9 Current State: 33:[24, 9], Operations: ['1+2=3', '27/3=9'] Exploring Operation: 24+9=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 73, 74, 32, 94 ]
21
[ "73+74=147", "32+94=126", "147-126=21" ]
Current State: 21:[73, 74, 32, 94], Operations: [] Exploring Operation: 73+74=147, Resulting Numbers: [32, 94, 147] Generated Node #2: [32, 94, 147] from Operation: 73+74=147 Current State: 21:[32, 94, 147], Operations: ['73+74=147'] Exploring Operation: 32+94=126, Resulting Numbers: [147, 126] Generated Node #3: [147, 126] from Operation: 32+94=126 Current State: 21:[147, 126], Operations: ['73+74=147', '32+94=126'] Exploring Operation: 147-126=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 3, 67, 19, 27 ]
91
[ "27-19=8", "3*8=24", "67+24=91" ]
Current State: 91:[3, 67, 19, 27], Operations: [] Exploring Operation: 27-19=8, Resulting Numbers: [3, 67, 8] Generated Node #2: [3, 67, 8] from Operation: 27-19=8 Current State: 91:[3, 67, 8], Operations: ['27-19=8'] Exploring Operation: 3*8=24, Resulting Numbers: [67, 24] Generated Node #3: [67, 24] from Operation: 3*8=24 Current State: 91:[67, 24], Operations: ['27-19=8', '3*8=24'] Exploring Operation: 67+24=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 44, 58, 68, 50 ]
16
[ "44+58=102", "68+50=118", "118-102=16" ]
Current State: 16:[44, 58, 68, 50], Operations: [] Exploring Operation: 44+58=102, Resulting Numbers: [68, 50, 102] Generated Node #2: [68, 50, 102] from Operation: 44+58=102 Current State: 16:[68, 50, 102], Operations: ['44+58=102'] Exploring Operation: 68+50=118, Resulting Numbers: [102, 118] Generated Node #3: [102, 118] from Operation: 68+50=118 Current State: 16:[102, 118], Operations: ['44+58=102', '68+50=118'] Exploring Operation: 118-102=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 97, 13, 38, 46 ]
76
[ "97-13=84", "46-38=8", "84-8=76" ]
Current State: 76:[97, 13, 38, 46], Operations: [] Exploring Operation: 97-13=84, Resulting Numbers: [38, 46, 84] Generated Node #2: [38, 46, 84] from Operation: 97-13=84 Current State: 76:[38, 46, 84], Operations: ['97-13=84'] Exploring Operation: 46-38=8, Resulting Numbers: [84, 8] Generated Node #3: [84, 8] from Operation: 46-38=8 Current State: 76:[84, 8], Operations: ['97-13=84', '46-38=8'] Exploring Operation: 84-8=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 74, 97, 50, 97 ]
50
[ "97-97=0", "74*0=0", "50+0=50" ]
Current State: 50:[74, 97, 50, 97], Operations: [] Exploring Operation: 97-97=0, Resulting Numbers: [74, 50, 0] Generated Node #2: [74, 50, 0] from Operation: 97-97=0 Current State: 50:[74, 50, 0], Operations: ['97-97=0'] Exploring Operation: 74*0=0, Resulting Numbers: [50, 0] Generated Node #3: [50, 0] from Operation: 74*0=0 Current State: 50:[50, 0], Operations: ['97-97=0', '74*0=0'] Exploring Operation: 50+0=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 91, 14, 12, 78 ]
26
[ "91-78=13", "14-12=2", "13*2=26" ]
Current State: 26:[91, 14, 12, 78], Operations: [] Exploring Operation: 91-78=13, Resulting Numbers: [14, 12, 13] Generated Node #2: [14, 12, 13] from Operation: 91-78=13 Current State: 26:[14, 12, 13], Operations: ['91-78=13'] Exploring Operation: 14-12=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 14-12=2 Current State: 26:[13, 2], Operations: ['91-78=13', '14-12=2'] Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 4, 21, 61, 64 ]
14
[ "21-4=17", "64-61=3", "17-3=14" ]
Current State: 14:[4, 21, 61, 64], Operations: [] Exploring Operation: 21-4=17, Resulting Numbers: [61, 64, 17] Generated Node #2: [61, 64, 17] from Operation: 21-4=17 Current State: 14:[61, 64, 17], Operations: ['21-4=17'] Exploring Operation: 64-61=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 64-61=3 Current State: 14:[17, 3], Operations: ['21-4=17', '64-61=3'] Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 47, 49, 91, 91 ]
49
[ "91-91=0", "47*0=0", "49+0=49" ]
Current State: 49:[47, 49, 91, 91], Operations: [] Exploring Operation: 91-91=0, Resulting Numbers: [47, 49, 0] Generated Node #2: [47, 49, 0] from Operation: 91-91=0 Current State: 49:[47, 49, 0], Operations: ['91-91=0'] Exploring Operation: 47*0=0, Resulting Numbers: [49, 0] Generated Node #3: [49, 0] from Operation: 47*0=0 Current State: 49:[49, 0], Operations: ['91-91=0', '47*0=0'] Exploring Operation: 49+0=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 84, 2, 95, 74 ]
100
[ "84-74=10", "10/2=5", "95+5=100" ]
Current State: 100:[84, 2, 95, 74], Operations: [] Exploring Operation: 84-74=10, Resulting Numbers: [2, 95, 10] Generated Node #2: [2, 95, 10] from Operation: 84-74=10 Current State: 100:[2, 95, 10], Operations: ['84-74=10'] Exploring Operation: 10/2=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 10/2=5 Current State: 100:[95, 5], Operations: ['84-74=10', '10/2=5'] Exploring Operation: 95+5=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 90, 79, 10, 94 ]
85
[ "90+79=169", "94-10=84", "169-84=85" ]
Current State: 85:[90, 79, 10, 94], Operations: [] Exploring Operation: 90+79=169, Resulting Numbers: [10, 94, 169] Generated Node #2: [10, 94, 169] from Operation: 90+79=169 Current State: 85:[10, 94, 169], Operations: ['90+79=169'] Exploring Operation: 94-10=84, Resulting Numbers: [169, 84] Generated Node #3: [169, 84] from Operation: 94-10=84 Current State: 85:[169, 84], Operations: ['90+79=169', '94-10=84'] Exploring Operation: 169-84=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 9, 34, 8, 44 ]
27
[ "34-9=25", "8+44=52", "52-25=27" ]
Current State: 27:[9, 34, 8, 44], Operations: [] Exploring Operation: 34-9=25, Resulting Numbers: [8, 44, 25] Generated Node #2: [8, 44, 25] from Operation: 34-9=25 Current State: 27:[8, 44, 25], Operations: ['34-9=25'] Exploring Operation: 8+44=52, Resulting Numbers: [25, 52] Generated Node #3: [25, 52] from Operation: 8+44=52 Current State: 27:[25, 52], Operations: ['34-9=25', '8+44=52'] Exploring Operation: 52-25=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 35, 25, 5, 63 ]
50
[ "25*63=1575", "1575/35=45", "5+45=50" ]
Current State: 50:[35, 25, 5, 63], Operations: [] Exploring Operation: 25*63=1575, Resulting Numbers: [35, 5, 1575] Generated Node #2: [35, 5, 1575] from Operation: 25*63=1575 Current State: 50:[35, 5, 1575], Operations: ['25*63=1575'] Exploring Operation: 1575/35=45, Resulting Numbers: [5, 45] Generated Node #3: [5, 45] from Operation: 1575/35=45 Current State: 50:[5, 45], Operations: ['25*63=1575', '1575/35=45'] Exploring Operation: 5+45=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 79, 38, 6, 76 ]
41
[ "79-38=41", "6+76=82", "82-41=41" ]
Current State: 41:[79, 38, 6, 76], Operations: [] Exploring Operation: 79-38=41, Resulting Numbers: [6, 76, 41] Generated Node #2: [6, 76, 41] from Operation: 79-38=41 Current State: 41:[6, 76, 41], Operations: ['79-38=41'] Exploring Operation: 6+76=82, Resulting Numbers: [41, 82] Generated Node #3: [41, 82] from Operation: 6+76=82 Current State: 41:[41, 82], Operations: ['79-38=41', '6+76=82'] Exploring Operation: 82-41=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 2, 32, 85, 3 ]
53
[ "3-2=1", "85-32=53", "1*53=53" ]
Current State: 53:[2, 32, 85, 3], Operations: [] Exploring Operation: 3-2=1, Resulting Numbers: [32, 85, 1] Generated Node #2: [32, 85, 1] from Operation: 3-2=1 Current State: 53:[32, 85, 1], Operations: ['3-2=1'] Exploring Operation: 85-32=53, Resulting Numbers: [1, 53] Generated Node #3: [1, 53] from Operation: 85-32=53 Current State: 53:[1, 53], Operations: ['3-2=1', '85-32=53'] Exploring Operation: 1*53=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 2, 12, 63, 2 ]
78
[ "2*12=24", "63-24=39", "2*39=78" ]
Current State: 78:[2, 12, 63, 2], Operations: [] Exploring Operation: 2*12=24, Resulting Numbers: [63, 24] Generated Node #2: [63, 24] from Operation: 2*12=24 Current State: 78:[63, 24], Operations: ['2*12=24'] Exploring Operation: 63-24=39, Resulting Numbers: [39] 39,78 equal: Goal Reached Exploring Operation: 2*39=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 47, 16, 58, 29 ]
56
[ "47-16=31", "58+29=87", "87-31=56" ]
Current State: 56:[47, 16, 58, 29], Operations: [] Exploring Operation: 47-16=31, Resulting Numbers: [58, 29, 31] Generated Node #2: [58, 29, 31] from Operation: 47-16=31 Current State: 56:[58, 29, 31], Operations: ['47-16=31'] Exploring Operation: 58+29=87, Resulting Numbers: [31, 87] Generated Node #3: [31, 87] from Operation: 58+29=87 Current State: 56:[31, 87], Operations: ['47-16=31', '58+29=87'] Exploring Operation: 87-31=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 6, 3, 73, 61 ]
75
[ "73-61=12", "6*12=72", "3+72=75" ]
Current State: 75:[6, 3, 73, 61], Operations: [] Exploring Operation: 73-61=12, Resulting Numbers: [6, 3, 12] Generated Node #2: [6, 3, 12] from Operation: 73-61=12 Current State: 75:[6, 3, 12], Operations: ['73-61=12'] Exploring Operation: 6*12=72, Resulting Numbers: [3, 72] Generated Node #3: [3, 72] from Operation: 6*12=72 Current State: 75:[3, 72], Operations: ['73-61=12', '6*12=72'] Exploring Operation: 3+72=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 24, 69, 91, 82 ]
31
[ "82-69=13", "91/13=7", "24+7=31" ]
Current State: 31:[24, 69, 91, 82], Operations: [] Exploring Operation: 82-69=13, Resulting Numbers: [24, 91, 13] Generated Node #2: [24, 91, 13] from Operation: 82-69=13 Current State: 31:[24, 91, 13], Operations: ['82-69=13'] Exploring Operation: 91/13=7, Resulting Numbers: [24, 7] Generated Node #3: [24, 7] from Operation: 91/13=7 Current State: 31:[24, 7], Operations: ['82-69=13', '91/13=7'] Exploring Operation: 24+7=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 4, 38, 86, 32 ]
88
[ "38-4=34", "86-32=54", "34+54=88" ]
Current State: 88:[4, 38, 86, 32], Operations: [] Exploring Operation: 38-4=34, Resulting Numbers: [86, 32, 34] Generated Node #2: [86, 32, 34] from Operation: 38-4=34 Current State: 88:[86, 32, 34], Operations: ['38-4=34'] Exploring Operation: 86-32=54, Resulting Numbers: [34, 54] Generated Node #3: [34, 54] from Operation: 86-32=54 Current State: 88:[34, 54], Operations: ['38-4=34', '86-32=54'] Exploring Operation: 34+54=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 46, 3, 1, 57 ]
22
[ "57-46=11", "3-1=2", "11*2=22" ]
Current State: 22:[46, 3, 1, 57], Operations: [] Exploring Operation: 57-46=11, Resulting Numbers: [3, 1, 11] Generated Node #2: [3, 1, 11] from Operation: 57-46=11 Current State: 22:[3, 1, 11], Operations: ['57-46=11'] Exploring Operation: 3-1=2, Resulting Numbers: [11, 2] Generated Node #3: [11, 2] from Operation: 3-1=2 Current State: 22:[11, 2], Operations: ['57-46=11', '3-1=2'] Exploring Operation: 11*2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 49, 69, 3, 27 ]
11
[ "69-49=20", "27/3=9", "20-9=11" ]
Current State: 11:[49, 69, 3, 27], Operations: [] Exploring Operation: 69-49=20, Resulting Numbers: [3, 27, 20] Generated Node #2: [3, 27, 20] from Operation: 69-49=20 Current State: 11:[3, 27, 20], Operations: ['69-49=20'] Exploring Operation: 27/3=9, Resulting Numbers: [20, 9] Generated Node #3: [20, 9] from Operation: 27/3=9 Current State: 11:[20, 9], Operations: ['69-49=20', '27/3=9'] Exploring Operation: 20-9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 4, 60, 52, 24 ]
64
[ "60-52=8", "24-8=16", "4*16=64" ]
Current State: 64:[4, 60, 52, 24], Operations: [] Exploring Operation: 60-52=8, Resulting Numbers: [4, 24, 8] Generated Node #2: [4, 24, 8] from Operation: 60-52=8 Current State: 64:[4, 24, 8], Operations: ['60-52=8'] Exploring Operation: 24-8=16, Resulting Numbers: [4, 16] Generated Node #3: [4, 16] from Operation: 24-8=16 Current State: 64:[4, 16], Operations: ['60-52=8', '24-8=16'] Exploring Operation: 4*16=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 25, 23, 14, 1 ]
63
[ "25+23=48", "14+1=15", "48+15=63" ]
Current State: 63:[25, 23, 14, 1], Operations: [] Exploring Operation: 25+23=48, Resulting Numbers: [14, 1, 48] Generated Node #2: [14, 1, 48] from Operation: 25+23=48 Current State: 63:[14, 1, 48], Operations: ['25+23=48'] Exploring Operation: 14+1=15, Resulting Numbers: [48, 15] Generated Node #3: [48, 15] from Operation: 14+1=15 Current State: 63:[48, 15], Operations: ['25+23=48', '14+1=15'] Exploring Operation: 48+15=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 1, 30, 96, 9 ]
15
[ "30+96=126", "126/9=14", "1+14=15" ]
Current State: 15:[1, 30, 96, 9], Operations: [] Exploring Operation: 30+96=126, Resulting Numbers: [1, 9, 126] Generated Node #2: [1, 9, 126] from Operation: 30+96=126 Current State: 15:[1, 9, 126], Operations: ['30+96=126'] Exploring Operation: 126/9=14, Resulting Numbers: [1, 14] Generated Node #3: [1, 14] from Operation: 126/9=14 Current State: 15:[1, 14], Operations: ['30+96=126', '126/9=14'] Exploring Operation: 1+14=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 1, 16, 18, 57 ]
13
[ "1+18=19", "57/19=3", "16-3=13" ]
Current State: 13:[1, 16, 18, 57], Operations: [] Exploring Operation: 1+18=19, Resulting Numbers: [16, 57, 19] Generated Node #2: [16, 57, 19] from Operation: 1+18=19 Current State: 13:[16, 57, 19], Operations: ['1+18=19'] Exploring Operation: 57/19=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 57/19=3 Current State: 13:[16, 3], Operations: ['1+18=19', '57/19=3'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 59, 78, 9, 7 ]
40
[ "9-7=2", "59*2=118", "118-78=40" ]
Current State: 40:[59, 78, 9, 7], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [59, 78, 2] Generated Node #2: [59, 78, 2] from Operation: 9-7=2 Current State: 40:[59, 78, 2], Operations: ['9-7=2'] Exploring Operation: 59*2=118, Resulting Numbers: [78, 118] Generated Node #3: [78, 118] from Operation: 59*2=118 Current State: 40:[78, 118], Operations: ['9-7=2', '59*2=118'] Exploring Operation: 118-78=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 66, 71, 13, 78 ]
11
[ "71-66=5", "78/13=6", "5+6=11" ]
Current State: 11:[66, 71, 13, 78], Operations: [] Exploring Operation: 71-66=5, Resulting Numbers: [13, 78, 5] Generated Node #2: [13, 78, 5] from Operation: 71-66=5 Current State: 11:[13, 78, 5], Operations: ['71-66=5'] Exploring Operation: 78/13=6, Resulting Numbers: [5, 6] Generated Node #3: [5, 6] from Operation: 78/13=6 Current State: 11:[5, 6], Operations: ['71-66=5', '78/13=6'] Exploring Operation: 5+6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 55, 7, 22, 75 ]
14
[ "55+22=77", "77-75=2", "7*2=14" ]
Current State: 14:[55, 7, 22, 75], Operations: [] Exploring Operation: 55+22=77, Resulting Numbers: [7, 75, 77] Generated Node #2: [7, 75, 77] from Operation: 55+22=77 Current State: 14:[7, 75, 77], Operations: ['55+22=77'] Exploring Operation: 77-75=2, Resulting Numbers: [7, 2] Generated Node #3: [7, 2] from Operation: 77-75=2 Current State: 14:[7, 2], Operations: ['55+22=77', '77-75=2'] Exploring Operation: 7*2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 15, 38, 39, 90 ]
71
[ "90/15=6", "38+39=77", "77-6=71" ]
Current State: 71:[15, 38, 39, 90], Operations: [] Exploring Operation: 90/15=6, Resulting Numbers: [38, 39, 6] Generated Node #2: [38, 39, 6] from Operation: 90/15=6 Current State: 71:[38, 39, 6], Operations: ['90/15=6'] Exploring Operation: 38+39=77, Resulting Numbers: [6, 77] Generated Node #3: [6, 77] from Operation: 38+39=77 Current State: 71:[6, 77], Operations: ['90/15=6', '38+39=77'] Exploring Operation: 77-6=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 28, 24, 4, 26 ]
100
[ "28-24=4", "4*26=104", "104-4=100" ]
Current State: 100:[28, 24, 4, 26], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [4, 26, 4] Generated Node #2: [4, 26, 4] from Operation: 28-24=4 Current State: 100:[4, 26, 4], Operations: ['28-24=4'] Exploring Operation: 4*26=104, Resulting Numbers: [104] 104,100 equal: Goal Reached Exploring Operation: 104-4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 11, 93, 97, 29 ]
72
[ "29-11=18", "97-93=4", "18*4=72" ]
Current State: 72:[11, 93, 97, 29], Operations: [] Exploring Operation: 29-11=18, Resulting Numbers: [93, 97, 18] Generated Node #2: [93, 97, 18] from Operation: 29-11=18 Current State: 72:[93, 97, 18], Operations: ['29-11=18'] Exploring Operation: 97-93=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 97-93=4 Current State: 72:[18, 4], Operations: ['29-11=18', '97-93=4'] Exploring Operation: 18*4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 78, 60, 8, 62 ]
94
[ "62-60=2", "8*2=16", "78+16=94" ]
Current State: 94:[78, 60, 8, 62], Operations: [] Exploring Operation: 62-60=2, Resulting Numbers: [78, 8, 2] Generated Node #2: [78, 8, 2] from Operation: 62-60=2 Current State: 94:[78, 8, 2], Operations: ['62-60=2'] Exploring Operation: 8*2=16, Resulting Numbers: [78, 16] Generated Node #3: [78, 16] from Operation: 8*2=16 Current State: 94:[78, 16], Operations: ['62-60=2', '8*2=16'] Exploring Operation: 78+16=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 40, 2, 27, 20 ]
26
[ "40/2=20", "20/20=1", "27-1=26" ]
Current State: 26:[40, 2, 27, 20], Operations: [] Exploring Operation: 40/2=20, Resulting Numbers: [27, 20, 20] Generated Node #2: [27, 20, 20] from Operation: 40/2=20 Current State: 26:[27, 20, 20], Operations: ['40/2=20'] Exploring Operation: 20/20=1, Resulting Numbers: [27, 1] Generated Node #3: [27, 1] from Operation: 20/20=1 Current State: 26:[27, 1], Operations: ['40/2=20', '20/20=1'] Exploring Operation: 27-1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 98, 69, 49, 87 ]
46
[ "98-69=29", "87/29=3", "49-3=46" ]
Current State: 46:[98, 69, 49, 87], Operations: [] Exploring Operation: 98-69=29, Resulting Numbers: [49, 87, 29] Generated Node #2: [49, 87, 29] from Operation: 98-69=29 Current State: 46:[49, 87, 29], Operations: ['98-69=29'] Exploring Operation: 87/29=3, Resulting Numbers: [49, 3] Generated Node #3: [49, 3] from Operation: 87/29=3 Current State: 46:[49, 3], Operations: ['98-69=29', '87/29=3'] Exploring Operation: 49-3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 51, 17, 11, 47 ]
68
[ "17*47=799", "799-51=748", "748/11=68" ]
Current State: 68:[51, 17, 11, 47], Operations: [] Exploring Operation: 17*47=799, Resulting Numbers: [51, 11, 799] Generated Node #2: [51, 11, 799] from Operation: 17*47=799 Current State: 68:[51, 11, 799], Operations: ['17*47=799'] Exploring Operation: 799-51=748, Resulting Numbers: [11, 748] Generated Node #3: [11, 748] from Operation: 799-51=748 Current State: 68:[11, 748], Operations: ['17*47=799', '799-51=748'] Exploring Operation: 748/11=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 95, 20, 7, 63 ]
19
[ "95-20=75", "63-7=56", "75-56=19" ]
Current State: 19:[95, 20, 7, 63], Operations: [] Exploring Operation: 95-20=75, Resulting Numbers: [7, 63, 75] Generated Node #2: [7, 63, 75] from Operation: 95-20=75 Current State: 19:[7, 63, 75], Operations: ['95-20=75'] Exploring Operation: 63-7=56, Resulting Numbers: [75, 56] Generated Node #3: [75, 56] from Operation: 63-7=56 Current State: 19:[75, 56], Operations: ['95-20=75', '63-7=56'] Exploring Operation: 75-56=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 46, 89, 41, 47 ]
45
[ "89-46=43", "41+47=88", "88-43=45" ]
Current State: 45:[46, 89, 41, 47], Operations: [] Exploring Operation: 89-46=43, Resulting Numbers: [41, 47, 43] Generated Node #2: [41, 47, 43] from Operation: 89-46=43 Current State: 45:[41, 47, 43], Operations: ['89-46=43'] Exploring Operation: 41+47=88, Resulting Numbers: [43, 88] Generated Node #3: [43, 88] from Operation: 41+47=88 Current State: 45:[43, 88], Operations: ['89-46=43', '41+47=88'] Exploring Operation: 88-43=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 77, 88, 11, 45 ]
44
[ "88-77=11", "11/11=1", "45-1=44" ]
Current State: 44:[77, 88, 11, 45], Operations: [] Exploring Operation: 88-77=11, Resulting Numbers: [11, 45, 11] Generated Node #2: [11, 45, 11] from Operation: 88-77=11 Current State: 44:[11, 45, 11], Operations: ['88-77=11'] Exploring Operation: 11/11=1, Resulting Numbers: [45, 1] Generated Node #3: [45, 1] from Operation: 11/11=1 Current State: 44:[45, 1], Operations: ['88-77=11', '11/11=1'] Exploring Operation: 45-1=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 42, 2, 92, 34 ]
60
[ "42+34=76", "2*76=152", "152-92=60" ]
Current State: 60:[42, 2, 92, 34], Operations: [] Exploring Operation: 42+34=76, Resulting Numbers: [2, 92, 76] Generated Node #2: [2, 92, 76] from Operation: 42+34=76 Current State: 60:[2, 92, 76], Operations: ['42+34=76'] Exploring Operation: 2*76=152, Resulting Numbers: [92, 152] Generated Node #3: [92, 152] from Operation: 2*76=152 Current State: 60:[92, 152], Operations: ['42+34=76', '2*76=152'] Exploring Operation: 152-92=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 68, 7, 48, 65 ]
67
[ "68+65=133", "133/7=19", "48+19=67" ]
Current State: 67:[68, 7, 48, 65], Operations: [] Exploring Operation: 68+65=133, Resulting Numbers: [7, 48, 133] Generated Node #2: [7, 48, 133] from Operation: 68+65=133 Current State: 67:[7, 48, 133], Operations: ['68+65=133'] Exploring Operation: 133/7=19, Resulting Numbers: [48, 19] Generated Node #3: [48, 19] from Operation: 133/7=19 Current State: 67:[48, 19], Operations: ['68+65=133', '133/7=19'] Exploring Operation: 48+19=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 10, 92, 90, 78 ]
83
[ "92-90=2", "10/2=5", "78+5=83" ]
Current State: 83:[10, 92, 90, 78], Operations: [] Exploring Operation: 92-90=2, Resulting Numbers: [10, 78, 2] Generated Node #2: [10, 78, 2] from Operation: 92-90=2 Current State: 83:[10, 78, 2], Operations: ['92-90=2'] Exploring Operation: 10/2=5, Resulting Numbers: [78, 5] Generated Node #3: [78, 5] from Operation: 10/2=5 Current State: 83:[78, 5], Operations: ['92-90=2', '10/2=5'] Exploring Operation: 78+5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 51, 47, 5, 5 ]
20
[ "51*5=255", "47*5=235", "255-235=20" ]
Current State: 20:[51, 47, 5, 5], Operations: [] Exploring Operation: 51*5=255, Resulting Numbers: [47, 255] Generated Node #2: [47, 255] from Operation: 51*5=255 Current State: 20:[47, 255], Operations: ['51*5=255'] Exploring Operation: 47*5=235, Resulting Numbers: [255, 235] Generated Node #3: [255, 235] from Operation: 47*5=235 Current State: 20:[255, 235], Operations: ['51*5=255', '47*5=235'] Exploring Operation: 255-235=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 84, 21, 81, 60 ]
85
[ "81-21=60", "60/60=1", "84+1=85" ]
Current State: 85:[84, 21, 81, 60], Operations: [] Exploring Operation: 81-21=60, Resulting Numbers: [84, 60, 60] Generated Node #2: [84, 60, 60] from Operation: 81-21=60 Current State: 85:[84, 60, 60], Operations: ['81-21=60'] Exploring Operation: 60/60=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 60/60=1 Current State: 85:[84, 1], Operations: ['81-21=60', '60/60=1'] Exploring Operation: 84+1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 34, 12, 10, 51 ]
34
[ "51-34=17", "12-10=2", "17*2=34" ]
Current State: 34:[34, 12, 10, 51], Operations: [] Exploring Operation: 51-34=17, Resulting Numbers: [12, 10, 17] Generated Node #2: [12, 10, 17] from Operation: 51-34=17 Current State: 34:[12, 10, 17], Operations: ['51-34=17'] Exploring Operation: 12-10=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 12-10=2 Current State: 34:[17, 2], Operations: ['51-34=17', '12-10=2'] Exploring Operation: 17*2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 76, 28, 87, 2 ]
78
[ "76-28=48", "87-48=39", "2*39=78" ]
Current State: 78:[76, 28, 87, 2], Operations: [] Exploring Operation: 76-28=48, Resulting Numbers: [87, 2, 48] Generated Node #2: [87, 2, 48] from Operation: 76-28=48 Current State: 78:[87, 2, 48], Operations: ['76-28=48'] Exploring Operation: 87-48=39, Resulting Numbers: [2, 39] Generated Node #3: [2, 39] from Operation: 87-48=39 Current State: 78:[2, 39], Operations: ['76-28=48', '87-48=39'] Exploring Operation: 2*39=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 8, 7, 83, 64 ]
85
[ "8*64=512", "83+512=595", "595/7=85" ]
Current State: 85:[8, 7, 83, 64], Operations: [] Exploring Operation: 8*64=512, Resulting Numbers: [7, 83, 512] Generated Node #2: [7, 83, 512] from Operation: 8*64=512 Current State: 85:[7, 83, 512], Operations: ['8*64=512'] Exploring Operation: 83+512=595, Resulting Numbers: [7, 595] Generated Node #3: [7, 595] from Operation: 83+512=595 Current State: 85:[7, 595], Operations: ['8*64=512', '83+512=595'] Exploring Operation: 595/7=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 52, 13, 38, 94 ]
67
[ "52+13=65", "38+94=132", "132-65=67" ]
Current State: 67:[52, 13, 38, 94], Operations: [] Exploring Operation: 52+13=65, Resulting Numbers: [38, 94, 65] Generated Node #2: [38, 94, 65] from Operation: 52+13=65 Current State: 67:[38, 94, 65], Operations: ['52+13=65'] Exploring Operation: 38+94=132, Resulting Numbers: [65, 132] Generated Node #3: [65, 132] from Operation: 38+94=132 Current State: 67:[65, 132], Operations: ['52+13=65', '38+94=132'] Exploring Operation: 132-65=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 5, 93, 9, 51 ]
27
[ "93-9=84", "51+84=135", "135/5=27" ]
Current State: 27:[5, 93, 9, 51], Operations: [] Exploring Operation: 93-9=84, Resulting Numbers: [5, 51, 84] Generated Node #2: [5, 51, 84] from Operation: 93-9=84 Current State: 27:[5, 51, 84], Operations: ['93-9=84'] Exploring Operation: 51+84=135, Resulting Numbers: [5, 135] Generated Node #3: [5, 135] from Operation: 51+84=135 Current State: 27:[5, 135], Operations: ['93-9=84', '51+84=135'] Exploring Operation: 135/5=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 79, 28, 25, 35 ]
59
[ "28*25=700", "700/35=20", "79-20=59" ]
Current State: 59:[79, 28, 25, 35], Operations: [] Exploring Operation: 28*25=700, Resulting Numbers: [79, 35, 700] Generated Node #2: [79, 35, 700] from Operation: 28*25=700 Current State: 59:[79, 35, 700], Operations: ['28*25=700'] Exploring Operation: 700/35=20, Resulting Numbers: [79, 20] Generated Node #3: [79, 20] from Operation: 700/35=20 Current State: 59:[79, 20], Operations: ['28*25=700', '700/35=20'] Exploring Operation: 79-20=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 11, 48, 16, 21 ]
77
[ "11*16=176", "21*176=3696", "3696/48=77" ]
Current State: 77:[11, 48, 16, 21], Operations: [] Exploring Operation: 11*16=176, Resulting Numbers: [48, 21, 176] Generated Node #2: [48, 21, 176] from Operation: 11*16=176 Current State: 77:[48, 21, 176], Operations: ['11*16=176'] Exploring Operation: 21*176=3696, Resulting Numbers: [48, 3696] Generated Node #3: [48, 3696] from Operation: 21*176=3696 Current State: 77:[48, 3696], Operations: ['11*16=176', '21*176=3696'] Exploring Operation: 3696/48=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 70, 44, 22, 58 ]
23
[ "70*22=1540", "1540/44=35", "58-35=23" ]
Current State: 23:[70, 44, 22, 58], Operations: [] Exploring Operation: 70*22=1540, Resulting Numbers: [44, 58, 1540] Generated Node #2: [44, 58, 1540] from Operation: 70*22=1540 Current State: 23:[44, 58, 1540], Operations: ['70*22=1540'] Exploring Operation: 1540/44=35, Resulting Numbers: [58, 35] Generated Node #3: [58, 35] from Operation: 1540/44=35 Current State: 23:[58, 35], Operations: ['70*22=1540', '1540/44=35'] Exploring Operation: 58-35=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 87, 23, 3, 81 ]
75
[ "87/3=29", "23+81=104", "104-29=75" ]
Current State: 75:[87, 23, 3, 81], Operations: [] Exploring Operation: 87/3=29, Resulting Numbers: [23, 81, 29] Generated Node #2: [23, 81, 29] from Operation: 87/3=29 Current State: 75:[23, 81, 29], Operations: ['87/3=29'] Exploring Operation: 23+81=104, Resulting Numbers: [29, 104] Generated Node #3: [29, 104] from Operation: 23+81=104 Current State: 75:[29, 104], Operations: ['87/3=29', '23+81=104'] Exploring Operation: 104-29=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 74, 97, 12, 73 ]
72
[ "97-73=24", "24/12=2", "74-2=72" ]
Current State: 72:[74, 97, 12, 73], Operations: [] Exploring Operation: 97-73=24, Resulting Numbers: [74, 12, 24] Generated Node #2: [74, 12, 24] from Operation: 97-73=24 Current State: 72:[74, 12, 24], Operations: ['97-73=24'] Exploring Operation: 24/12=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 24/12=2 Current State: 72:[74, 2], Operations: ['97-73=24', '24/12=2'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 53, 38, 3, 56 ]
74
[ "53-38=15", "3+56=59", "15+59=74" ]
Current State: 74:[53, 38, 3, 56], Operations: [] Exploring Operation: 53-38=15, Resulting Numbers: [3, 56, 15] Generated Node #2: [3, 56, 15] from Operation: 53-38=15 Current State: 74:[3, 56, 15], Operations: ['53-38=15'] Exploring Operation: 3+56=59, Resulting Numbers: [15, 59] Generated Node #3: [15, 59] from Operation: 3+56=59 Current State: 74:[15, 59], Operations: ['53-38=15', '3+56=59'] Exploring Operation: 15+59=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 83, 56, 78, 51 ]
25
[ "83-78=5", "56-51=5", "5*5=25" ]
Current State: 25:[83, 56, 78, 51], Operations: [] Exploring Operation: 83-78=5, Resulting Numbers: [56, 51, 5] Generated Node #2: [56, 51, 5] from Operation: 83-78=5 Current State: 25:[56, 51, 5], Operations: ['83-78=5'] Exploring Operation: 56-51=5, Resulting Numbers: [5, 5] Generated Node #3: [5, 5] from Operation: 56-51=5 Current State: 25:[5, 5], Operations: ['83-78=5', '56-51=5'] Exploring Operation: 5*5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 98, 30, 16, 8 ]
19
[ "98*8=784", "784/16=49", "49-30=19" ]
Current State: 19:[98, 30, 16, 8], Operations: [] Exploring Operation: 98*8=784, Resulting Numbers: [30, 16, 784] Generated Node #2: [30, 16, 784] from Operation: 98*8=784 Current State: 19:[30, 16, 784], Operations: ['98*8=784'] Exploring Operation: 784/16=49, Resulting Numbers: [30, 49] Generated Node #3: [30, 49] from Operation: 784/16=49 Current State: 19:[30, 49], Operations: ['98*8=784', '784/16=49'] Exploring Operation: 49-30=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 80, 90, 79, 78 ]
22
[ "80-78=2", "90-79=11", "2*11=22" ]
Current State: 22:[80, 90, 79, 78], Operations: [] Exploring Operation: 80-78=2, Resulting Numbers: [90, 79, 2] Generated Node #2: [90, 79, 2] from Operation: 80-78=2 Current State: 22:[90, 79, 2], Operations: ['80-78=2'] Exploring Operation: 90-79=11, Resulting Numbers: [2, 11] Generated Node #3: [2, 11] from Operation: 90-79=11 Current State: 22:[2, 11], Operations: ['80-78=2', '90-79=11'] Exploring Operation: 2*11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 77, 98, 33, 29 ]
91
[ "77*33=2541", "98+2541=2639", "2639/29=91" ]
Current State: 91:[77, 98, 33, 29], Operations: [] Exploring Operation: 77*33=2541, Resulting Numbers: [98, 29, 2541] Generated Node #2: [98, 29, 2541] from Operation: 77*33=2541 Current State: 91:[98, 29, 2541], Operations: ['77*33=2541'] Exploring Operation: 98+2541=2639, Resulting Numbers: [29, 2639] Generated Node #3: [29, 2639] from Operation: 98+2541=2639 Current State: 91:[29, 2639], Operations: ['77*33=2541', '98+2541=2639'] Exploring Operation: 2639/29=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 8, 27, 7, 41 ]
33
[ "7+41=48", "48/8=6", "27+6=33" ]
Current State: 33:[8, 27, 7, 41], Operations: [] Exploring Operation: 7+41=48, Resulting Numbers: [8, 27, 48] Generated Node #2: [8, 27, 48] from Operation: 7+41=48 Current State: 33:[8, 27, 48], Operations: ['7+41=48'] Exploring Operation: 48/8=6, Resulting Numbers: [27, 6] Generated Node #3: [27, 6] from Operation: 48/8=6 Current State: 33:[27, 6], Operations: ['7+41=48', '48/8=6'] Exploring Operation: 27+6=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 4, 94, 85, 47 ]
77
[ "4*94=376", "376/47=8", "85-8=77" ]
Current State: 77:[4, 94, 85, 47], Operations: [] Exploring Operation: 4*94=376, Resulting Numbers: [85, 47, 376] Generated Node #2: [85, 47, 376] from Operation: 4*94=376 Current State: 77:[85, 47, 376], Operations: ['4*94=376'] Exploring Operation: 376/47=8, Resulting Numbers: [85, 8] Generated Node #3: [85, 8] from Operation: 376/47=8 Current State: 77:[85, 8], Operations: ['4*94=376', '376/47=8'] Exploring Operation: 85-8=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 81, 68, 88, 3 ]
58
[ "81+68=149", "88+3=91", "149-91=58" ]
Current State: 58:[81, 68, 88, 3], Operations: [] Exploring Operation: 81+68=149, Resulting Numbers: [88, 3, 149] Generated Node #2: [88, 3, 149] from Operation: 81+68=149 Current State: 58:[88, 3, 149], Operations: ['81+68=149'] Exploring Operation: 88+3=91, Resulting Numbers: [149, 91] Generated Node #3: [149, 91] from Operation: 88+3=91 Current State: 58:[149, 91], Operations: ['81+68=149', '88+3=91'] Exploring Operation: 149-91=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 70, 10, 75, 73 ]
15
[ "73-70=3", "75/3=25", "25-10=15" ]
Current State: 15:[70, 10, 75, 73], Operations: [] Exploring Operation: 73-70=3, Resulting Numbers: [10, 75, 3] Generated Node #2: [10, 75, 3] from Operation: 73-70=3 Current State: 15:[10, 75, 3], Operations: ['73-70=3'] Exploring Operation: 75/3=25, Resulting Numbers: [10, 25] Generated Node #3: [10, 25] from Operation: 75/3=25 Current State: 15:[10, 25], Operations: ['73-70=3', '75/3=25'] Exploring Operation: 25-10=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 78, 22, 72, 87 ]
41
[ "78-22=56", "87-72=15", "56-15=41" ]
Current State: 41:[78, 22, 72, 87], Operations: [] Exploring Operation: 78-22=56, Resulting Numbers: [72, 87, 56] Generated Node #2: [72, 87, 56] from Operation: 78-22=56 Current State: 41:[72, 87, 56], Operations: ['78-22=56'] Exploring Operation: 87-72=15, Resulting Numbers: [56, 15] Generated Node #3: [56, 15] from Operation: 87-72=15 Current State: 41:[56, 15], Operations: ['78-22=56', '87-72=15'] Exploring Operation: 56-15=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 18, 74, 33, 20 ]
82
[ "20-18=2", "74-33=41", "2*41=82" ]
Current State: 82:[18, 74, 33, 20], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [74, 33, 2] Generated Node #2: [74, 33, 2] from Operation: 20-18=2 Current State: 82:[74, 33, 2], Operations: ['20-18=2'] Exploring Operation: 74-33=41, Resulting Numbers: [2, 41] Generated Node #3: [2, 41] from Operation: 74-33=41 Current State: 82:[2, 41], Operations: ['20-18=2', '74-33=41'] Exploring Operation: 2*41=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 20, 46, 59, 57 ]
90
[ "46-20=26", "59+57=116", "116-26=90" ]
Current State: 90:[20, 46, 59, 57], Operations: [] Exploring Operation: 46-20=26, Resulting Numbers: [59, 57, 26] Generated Node #2: [59, 57, 26] from Operation: 46-20=26 Current State: 90:[59, 57, 26], Operations: ['46-20=26'] Exploring Operation: 59+57=116, Resulting Numbers: [26, 116] Generated Node #3: [26, 116] from Operation: 59+57=116 Current State: 90:[26, 116], Operations: ['46-20=26', '59+57=116'] Exploring Operation: 116-26=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 43, 51, 69, 6 ]
83
[ "51-43=8", "69+6=75", "8+75=83" ]
Current State: 83:[43, 51, 69, 6], Operations: [] Exploring Operation: 51-43=8, Resulting Numbers: [69, 6, 8] Generated Node #2: [69, 6, 8] from Operation: 51-43=8 Current State: 83:[69, 6, 8], Operations: ['51-43=8'] Exploring Operation: 69+6=75, Resulting Numbers: [8, 75] Generated Node #3: [8, 75] from Operation: 69+6=75 Current State: 83:[8, 75], Operations: ['51-43=8', '69+6=75'] Exploring Operation: 8+75=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 2, 94, 71, 4 ]
22
[ "94+4=98", "98/2=49", "71-49=22" ]
Current State: 22:[2, 94, 71, 4], Operations: [] Exploring Operation: 94+4=98, Resulting Numbers: [2, 71, 98] Generated Node #2: [2, 71, 98] from Operation: 94+4=98 Current State: 22:[2, 71, 98], Operations: ['94+4=98'] Exploring Operation: 98/2=49, Resulting Numbers: [71, 49] Generated Node #3: [71, 49] from Operation: 98/2=49 Current State: 22:[71, 49], Operations: ['94+4=98', '98/2=49'] Exploring Operation: 71-49=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 24, 64, 55, 16 ]
72
[ "24-16=8", "64-55=9", "8*9=72" ]
Current State: 72:[24, 64, 55, 16], Operations: [] Exploring Operation: 24-16=8, Resulting Numbers: [64, 55, 8] Generated Node #2: [64, 55, 8] from Operation: 24-16=8 Current State: 72:[64, 55, 8], Operations: ['24-16=8'] Exploring Operation: 64-55=9, Resulting Numbers: [8, 9] Generated Node #3: [8, 9] from Operation: 64-55=9 Current State: 72:[8, 9], Operations: ['24-16=8', '64-55=9'] Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 76, 78, 48, 80 ]
34
[ "78-76=2", "80-48=32", "2+32=34" ]
Current State: 34:[76, 78, 48, 80], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [48, 80, 2] Generated Node #2: [48, 80, 2] from Operation: 78-76=2 Current State: 34:[48, 80, 2], Operations: ['78-76=2'] Exploring Operation: 80-48=32, Resulting Numbers: [2, 32] Generated Node #3: [2, 32] from Operation: 80-48=32 Current State: 34:[2, 32], Operations: ['78-76=2', '80-48=32'] Exploring Operation: 2+32=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 63, 72, 96, 9 ]
25
[ "96-63=33", "72/9=8", "33-8=25" ]
Current State: 25:[63, 72, 96, 9], Operations: [] Exploring Operation: 96-63=33, Resulting Numbers: [72, 9, 33] Generated Node #2: [72, 9, 33] from Operation: 96-63=33 Current State: 25:[72, 9, 33], Operations: ['96-63=33'] Exploring Operation: 72/9=8, Resulting Numbers: [33, 8] Generated Node #3: [33, 8] from Operation: 72/9=8 Current State: 25:[33, 8], Operations: ['96-63=33', '72/9=8'] Exploring Operation: 33-8=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 19, 83, 16, 65 ]
15
[ "83-19=64", "65-16=49", "64-49=15" ]
Current State: 15:[19, 83, 16, 65], Operations: [] Exploring Operation: 83-19=64, Resulting Numbers: [16, 65, 64] Generated Node #2: [16, 65, 64] from Operation: 83-19=64 Current State: 15:[16, 65, 64], Operations: ['83-19=64'] Exploring Operation: 65-16=49, Resulting Numbers: [64, 49] Generated Node #3: [64, 49] from Operation: 65-16=49 Current State: 15:[64, 49], Operations: ['83-19=64', '65-16=49'] Exploring Operation: 64-49=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 22, 24, 75, 67 ]
25
[ "75-67=8", "24/8=3", "22+3=25" ]
Current State: 25:[22, 24, 75, 67], Operations: [] Exploring Operation: 75-67=8, Resulting Numbers: [22, 24, 8] Generated Node #2: [22, 24, 8] from Operation: 75-67=8 Current State: 25:[22, 24, 8], Operations: ['75-67=8'] Exploring Operation: 24/8=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 24/8=3 Current State: 25:[22, 3], Operations: ['75-67=8', '24/8=3'] Exploring Operation: 22+3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 85, 52, 28, 96 ]
89
[ "52-28=24", "96/24=4", "85+4=89" ]
Current State: 89:[85, 52, 28, 96], Operations: [] Exploring Operation: 52-28=24, Resulting Numbers: [85, 96, 24] Generated Node #2: [85, 96, 24] from Operation: 52-28=24 Current State: 89:[85, 96, 24], Operations: ['52-28=24'] Exploring Operation: 96/24=4, Resulting Numbers: [85, 4] Generated Node #3: [85, 4] from Operation: 96/24=4 Current State: 89:[85, 4], Operations: ['52-28=24', '96/24=4'] Exploring Operation: 85+4=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 25, 23, 14, 18 ]
19
[ "23-18=5", "25/5=5", "14+5=19" ]
Current State: 19:[25, 23, 14, 18], Operations: [] Exploring Operation: 23-18=5, Resulting Numbers: [25, 14, 5] Generated Node #2: [25, 14, 5] from Operation: 23-18=5 Current State: 19:[25, 14, 5], Operations: ['23-18=5'] Exploring Operation: 25/5=5, Resulting Numbers: [14, 5] Generated Node #3: [14, 5] from Operation: 25/5=5 Current State: 19:[14, 5], Operations: ['23-18=5', '25/5=5'] Exploring Operation: 14+5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 28, 35, 49, 69 ]
76
[ "35-28=7", "49/7=7", "69+7=76" ]
Current State: 76:[28, 35, 49, 69], Operations: [] Exploring Operation: 35-28=7, Resulting Numbers: [49, 69, 7] Generated Node #2: [49, 69, 7] from Operation: 35-28=7 Current State: 76:[49, 69, 7], Operations: ['35-28=7'] Exploring Operation: 49/7=7, Resulting Numbers: [69, 7] Generated Node #3: [69, 7] from Operation: 49/7=7 Current State: 76:[69, 7], Operations: ['35-28=7', '49/7=7'] Exploring Operation: 69+7=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 10, 13, 96, 29 ]
61
[ "13-10=3", "96/3=32", "29+32=61" ]
Current State: 61:[10, 13, 96, 29], Operations: [] Exploring Operation: 13-10=3, Resulting Numbers: [96, 29, 3] Generated Node #2: [96, 29, 3] from Operation: 13-10=3 Current State: 61:[96, 29, 3], Operations: ['13-10=3'] Exploring Operation: 96/3=32, Resulting Numbers: [29, 32] Generated Node #3: [29, 32] from Operation: 96/3=32 Current State: 61:[29, 32], Operations: ['13-10=3', '96/3=32'] Exploring Operation: 29+32=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 24, 79, 91, 64 ]
76
[ "24+79=103", "91-64=27", "103-27=76" ]
Current State: 76:[24, 79, 91, 64], Operations: [] Exploring Operation: 24+79=103, Resulting Numbers: [91, 64, 103] Generated Node #2: [91, 64, 103] from Operation: 24+79=103 Current State: 76:[91, 64, 103], Operations: ['24+79=103'] Exploring Operation: 91-64=27, Resulting Numbers: [103, 27] Generated Node #3: [103, 27] from Operation: 91-64=27 Current State: 76:[103, 27], Operations: ['24+79=103', '91-64=27'] Exploring Operation: 103-27=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 36, 30, 18, 51 ]
68
[ "30+18=48", "51*48=2448", "2448/36=68" ]
Current State: 68:[36, 30, 18, 51], Operations: [] Exploring Operation: 30+18=48, Resulting Numbers: [36, 51, 48] Generated Node #2: [36, 51, 48] from Operation: 30+18=48 Current State: 68:[36, 51, 48], Operations: ['30+18=48'] Exploring Operation: 51*48=2448, Resulting Numbers: [36, 2448] Generated Node #3: [36, 2448] from Operation: 51*48=2448 Current State: 68:[36, 2448], Operations: ['30+18=48', '51*48=2448'] Exploring Operation: 2448/36=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 3, 79, 5, 12 ]
17
[ "3+5=8", "12*8=96", "96-79=17" ]
Current State: 17:[3, 79, 5, 12], Operations: [] Exploring Operation: 3+5=8, Resulting Numbers: [79, 12, 8] Generated Node #2: [79, 12, 8] from Operation: 3+5=8 Current State: 17:[79, 12, 8], Operations: ['3+5=8'] Exploring Operation: 12*8=96, Resulting Numbers: [79, 96] Generated Node #3: [79, 96] from Operation: 12*8=96 Current State: 17:[79, 96], Operations: ['3+5=8', '12*8=96'] Exploring Operation: 96-79=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 64, 95, 96, 37 ]
90
[ "95-64=31", "96-37=59", "31+59=90" ]
Current State: 90:[64, 95, 96, 37], Operations: [] Exploring Operation: 95-64=31, Resulting Numbers: [96, 37, 31] Generated Node #2: [96, 37, 31] from Operation: 95-64=31 Current State: 90:[96, 37, 31], Operations: ['95-64=31'] Exploring Operation: 96-37=59, Resulting Numbers: [31, 59] Generated Node #3: [31, 59] from Operation: 96-37=59 Current State: 90:[31, 59], Operations: ['95-64=31', '96-37=59'] Exploring Operation: 31+59=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 17, 31, 29, 92 ]
77
[ "31-17=14", "92-29=63", "14+63=77" ]
Current State: 77:[17, 31, 29, 92], Operations: [] Exploring Operation: 31-17=14, Resulting Numbers: [29, 92, 14] Generated Node #2: [29, 92, 14] from Operation: 31-17=14 Current State: 77:[29, 92, 14], Operations: ['31-17=14'] Exploring Operation: 92-29=63, Resulting Numbers: [14, 63] Generated Node #3: [14, 63] from Operation: 92-29=63 Current State: 77:[14, 63], Operations: ['31-17=14', '92-29=63'] Exploring Operation: 14+63=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 4, 28, 34, 83 ]
85
[ "4+28=32", "34+83=117", "117-32=85" ]
Current State: 85:[4, 28, 34, 83], Operations: [] Exploring Operation: 4+28=32, Resulting Numbers: [34, 83, 32] Generated Node #2: [34, 83, 32] from Operation: 4+28=32 Current State: 85:[34, 83, 32], Operations: ['4+28=32'] Exploring Operation: 34+83=117, Resulting Numbers: [32, 117] Generated Node #3: [32, 117] from Operation: 34+83=117 Current State: 85:[32, 117], Operations: ['4+28=32', '34+83=117'] Exploring Operation: 117-32=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 26, 75, 90, 85 ]
55
[ "90-85=5", "26*5=130", "130-75=55" ]
Current State: 55:[26, 75, 90, 85], Operations: [] Exploring Operation: 90-85=5, Resulting Numbers: [26, 75, 5] Generated Node #2: [26, 75, 5] from Operation: 90-85=5 Current State: 55:[26, 75, 5], Operations: ['90-85=5'] Exploring Operation: 26*5=130, Resulting Numbers: [75, 130] Generated Node #3: [75, 130] from Operation: 26*5=130 Current State: 55:[75, 130], Operations: ['90-85=5', '26*5=130'] Exploring Operation: 130-75=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 48, 23, 74, 2 ]
76
[ "48+74=122", "23*2=46", "122-46=76" ]
Current State: 76:[48, 23, 74, 2], Operations: [] Exploring Operation: 48+74=122, Resulting Numbers: [23, 2, 122] Generated Node #2: [23, 2, 122] from Operation: 48+74=122 Current State: 76:[23, 2, 122], Operations: ['48+74=122'] Exploring Operation: 23*2=46, Resulting Numbers: [122, 46] Generated Node #3: [122, 46] from Operation: 23*2=46 Current State: 76:[122, 46], Operations: ['48+74=122', '23*2=46'] Exploring Operation: 122-46=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 19, 87, 84, 23 ]
50
[ "87-84=3", "23*3=69", "69-19=50" ]
Current State: 50:[19, 87, 84, 23], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [19, 23, 3] Generated Node #2: [19, 23, 3] from Operation: 87-84=3 Current State: 50:[19, 23, 3], Operations: ['87-84=3'] Exploring Operation: 23*3=69, Resulting Numbers: [19, 69] Generated Node #3: [19, 69] from Operation: 23*3=69 Current State: 50:[19, 69], Operations: ['87-84=3', '23*3=69'] Exploring Operation: 69-19=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 42, 70, 78, 68 ]
99
[ "70-68=2", "42/2=21", "78+21=99" ]
Current State: 99:[42, 70, 78, 68], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [42, 78, 2] Generated Node #2: [42, 78, 2] from Operation: 70-68=2 Current State: 99:[42, 78, 2], Operations: ['70-68=2'] Exploring Operation: 42/2=21, Resulting Numbers: [78, 21] Generated Node #3: [78, 21] from Operation: 42/2=21 Current State: 99:[78, 21], Operations: ['70-68=2', '42/2=21'] Exploring Operation: 78+21=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 86, 2, 34, 92 ]
56
[ "86+34=120", "120-92=28", "2*28=56" ]
Current State: 56:[86, 2, 34, 92], Operations: [] Exploring Operation: 86+34=120, Resulting Numbers: [2, 92, 120] Generated Node #2: [2, 92, 120] from Operation: 86+34=120 Current State: 56:[2, 92, 120], Operations: ['86+34=120'] Exploring Operation: 120-92=28, Resulting Numbers: [2, 28] Generated Node #3: [2, 28] from Operation: 120-92=28 Current State: 56:[2, 28], Operations: ['86+34=120', '120-92=28'] Exploring Operation: 2*28=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4