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
[ 49, 71, 10, 88 ]
100
[ "49+71=120", "120/10=12", "88+12=100" ]
Current State: 100:[49, 71, 10, 88], Operations: [] Exploring Operation: 49+71=120, Resulting Numbers: [10, 88, 120] Generated Node #2: [10, 88, 120] from Operation: 49+71=120 Current State: 100:[10, 88, 120], Operations: ['49+71=120'] Exploring Operation: 120/10=12, Resulting Numbers: [88, 12] Generated Node #3: [88, 12] from Operation: 120/10=12 Current State: 100:[88, 12], Operations: ['49+71=120', '120/10=12'] Exploring Operation: 88+12=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 64, 48, 90, 38 ]
73
[ "48-38=10", "90/10=9", "64+9=73" ]
Current State: 73:[64, 48, 90, 38], Operations: [] Exploring Operation: 48-38=10, Resulting Numbers: [64, 90, 10] Generated Node #2: [64, 90, 10] from Operation: 48-38=10 Current State: 73:[64, 90, 10], Operations: ['48-38=10'] Exploring Operation: 90/10=9, Resulting Numbers: [64, 9] Generated Node #3: [64, 9] from Operation: 90/10=9 Current State: 73:[64, 9], Operations: ['48-38=10', '90/10=9'] Exploring Operation: 64+9=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 4, 34, 19, 33 ]
31
[ "4+34=38", "38/19=2", "33-2=31" ]
Current State: 31:[4, 34, 19, 33], Operations: [] Exploring Operation: 4+34=38, Resulting Numbers: [19, 33, 38] Generated Node #2: [19, 33, 38] from Operation: 4+34=38 Current State: 31:[19, 33, 38], Operations: ['4+34=38'] Exploring Operation: 38/19=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 38/19=2 Current State: 31:[33, 2], Operations: ['4+34=38', '38/19=2'] Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 35, 88, 83, 55 ]
81
[ "88-35=53", "83-55=28", "53+28=81" ]
Current State: 81:[35, 88, 83, 55], Operations: [] Exploring Operation: 88-35=53, Resulting Numbers: [83, 55, 53] Generated Node #2: [83, 55, 53] from Operation: 88-35=53 Current State: 81:[83, 55, 53], Operations: ['88-35=53'] Exploring Operation: 83-55=28, Resulting Numbers: [53, 28] Generated Node #3: [53, 28] from Operation: 83-55=28 Current State: 81:[53, 28], Operations: ['88-35=53', '83-55=28'] Exploring Operation: 53+28=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 8, 44, 4, 50 ]
94
[ "44-8=36", "4*36=144", "144-50=94" ]
Current State: 94:[8, 44, 4, 50], Operations: [] Exploring Operation: 44-8=36, Resulting Numbers: [4, 50, 36] Generated Node #2: [4, 50, 36] from Operation: 44-8=36 Current State: 94:[4, 50, 36], Operations: ['44-8=36'] Exploring Operation: 4*36=144, Resulting Numbers: [50, 144] Generated Node #3: [50, 144] from Operation: 4*36=144 Current State: 94:[50, 144], Operations: ['44-8=36', '4*36=144'] Exploring Operation: 144-50=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 62, 7, 44, 8 ]
50
[ "62+44=106", "7*8=56", "106-56=50" ]
Current State: 50:[62, 7, 44, 8], Operations: [] Exploring Operation: 62+44=106, Resulting Numbers: [7, 8, 106] Generated Node #2: [7, 8, 106] from Operation: 62+44=106 Current State: 50:[7, 8, 106], Operations: ['62+44=106'] Exploring Operation: 7*8=56, Resulting Numbers: [106, 56] Generated Node #3: [106, 56] from Operation: 7*8=56 Current State: 50:[106, 56], Operations: ['62+44=106', '7*8=56'] Exploring Operation: 106-56=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 74, 65, 12, 37 ]
79
[ "74/37=2", "65+12=77", "2+77=79" ]
Current State: 79:[74, 65, 12, 37], Operations: [] Exploring Operation: 74/37=2, Resulting Numbers: [65, 12, 2] Generated Node #2: [65, 12, 2] from Operation: 74/37=2 Current State: 79:[65, 12, 2], Operations: ['74/37=2'] Exploring Operation: 65+12=77, Resulting Numbers: [2, 77] Generated Node #3: [2, 77] from Operation: 65+12=77 Current State: 79:[2, 77], Operations: ['74/37=2', '65+12=77'] Exploring Operation: 2+77=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 63, 67, 74, 10 ]
80
[ "67-63=4", "74+10=84", "84-4=80" ]
Current State: 80:[63, 67, 74, 10], Operations: [] Exploring Operation: 67-63=4, Resulting Numbers: [74, 10, 4] Generated Node #2: [74, 10, 4] from Operation: 67-63=4 Current State: 80:[74, 10, 4], Operations: ['67-63=4'] Exploring Operation: 74+10=84, Resulting Numbers: [4, 84] Generated Node #3: [4, 84] from Operation: 74+10=84 Current State: 80:[4, 84], Operations: ['67-63=4', '74+10=84'] Exploring Operation: 84-4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 29, 63, 11, 3 ]
91
[ "63-29=34", "3*34=102", "102-11=91" ]
Current State: 91:[29, 63, 11, 3], Operations: [] Exploring Operation: 63-29=34, Resulting Numbers: [11, 3, 34] Generated Node #2: [11, 3, 34] from Operation: 63-29=34 Current State: 91:[11, 3, 34], Operations: ['63-29=34'] Exploring Operation: 3*34=102, Resulting Numbers: [11, 102] Generated Node #3: [11, 102] from Operation: 3*34=102 Current State: 91:[11, 102], Operations: ['63-29=34', '3*34=102'] Exploring Operation: 102-11=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 29, 36, 18, 57 ]
87
[ "36+18=54", "57-54=3", "29*3=87" ]
Current State: 87:[29, 36, 18, 57], Operations: [] Exploring Operation: 36+18=54, Resulting Numbers: [29, 57, 54] Generated Node #2: [29, 57, 54] from Operation: 36+18=54 Current State: 87:[29, 57, 54], Operations: ['36+18=54'] Exploring Operation: 57-54=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 57-54=3 Current State: 87:[29, 3], Operations: ['36+18=54', '57-54=3'] Exploring Operation: 29*3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 30, 25, 75, 7 ]
63
[ "30-25=5", "75-7=68", "68-5=63" ]
Current State: 63:[30, 25, 75, 7], Operations: [] Exploring Operation: 30-25=5, Resulting Numbers: [75, 7, 5] Generated Node #2: [75, 7, 5] from Operation: 30-25=5 Current State: 63:[75, 7, 5], Operations: ['30-25=5'] Exploring Operation: 75-7=68, Resulting Numbers: [5, 68] Generated Node #3: [5, 68] from Operation: 75-7=68 Current State: 63:[5, 68], Operations: ['30-25=5', '75-7=68'] Exploring Operation: 68-5=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 57, 13, 6, 33 ]
97
[ "57+13=70", "33-6=27", "70+27=97" ]
Current State: 97:[57, 13, 6, 33], Operations: [] Exploring Operation: 57+13=70, Resulting Numbers: [6, 33, 70] Generated Node #2: [6, 33, 70] from Operation: 57+13=70 Current State: 97:[6, 33, 70], Operations: ['57+13=70'] Exploring Operation: 33-6=27, Resulting Numbers: [70, 27] Generated Node #3: [70, 27] from Operation: 33-6=27 Current State: 97:[70, 27], Operations: ['57+13=70', '33-6=27'] Exploring Operation: 70+27=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 4, 54, 18, 2 ]
22
[ "4+54=58", "18*2=36", "58-36=22" ]
Current State: 22:[4, 54, 18, 2], Operations: [] Exploring Operation: 4+54=58, Resulting Numbers: [18, 2, 58] Generated Node #2: [18, 2, 58] from Operation: 4+54=58 Current State: 22:[18, 2, 58], Operations: ['4+54=58'] Exploring Operation: 18*2=36, Resulting Numbers: [58, 36] Generated Node #3: [58, 36] from Operation: 18*2=36 Current State: 22:[58, 36], Operations: ['4+54=58', '18*2=36'] Exploring Operation: 58-36=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 39, 17, 64, 5 ]
13
[ "39+17=56", "64+5=69", "69-56=13" ]
Current State: 13:[39, 17, 64, 5], Operations: [] Exploring Operation: 39+17=56, Resulting Numbers: [64, 5, 56] Generated Node #2: [64, 5, 56] from Operation: 39+17=56 Current State: 13:[64, 5, 56], Operations: ['39+17=56'] Exploring Operation: 64+5=69, Resulting Numbers: [56, 69] Generated Node #3: [56, 69] from Operation: 64+5=69 Current State: 13:[56, 69], Operations: ['39+17=56', '64+5=69'] Exploring Operation: 69-56=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 17, 97, 73, 91 ]
81
[ "97+73=170", "170/17=10", "91-10=81" ]
Current State: 81:[17, 97, 73, 91], Operations: [] Exploring Operation: 97+73=170, Resulting Numbers: [17, 91, 170] Generated Node #2: [17, 91, 170] from Operation: 97+73=170 Current State: 81:[17, 91, 170], Operations: ['97+73=170'] Exploring Operation: 170/17=10, Resulting Numbers: [91, 10] Generated Node #3: [91, 10] from Operation: 170/17=10 Current State: 81:[91, 10], Operations: ['97+73=170', '170/17=10'] Exploring Operation: 91-10=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 96, 5, 54, 4 ]
100
[ "54-5=49", "4*49=196", "196-96=100" ]
Current State: 100:[96, 5, 54, 4], Operations: [] Exploring Operation: 54-5=49, Resulting Numbers: [96, 4, 49] Generated Node #2: [96, 4, 49] from Operation: 54-5=49 Current State: 100:[96, 4, 49], Operations: ['54-5=49'] Exploring Operation: 4*49=196, Resulting Numbers: [96, 196] Generated Node #3: [96, 196] from Operation: 4*49=196 Current State: 100:[96, 196], Operations: ['54-5=49', '4*49=196'] Exploring Operation: 196-96=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 4, 40, 79, 57 ]
14
[ "40-4=36", "79-57=22", "36-22=14" ]
Current State: 14:[4, 40, 79, 57], Operations: [] Exploring Operation: 40-4=36, Resulting Numbers: [79, 57, 36] Generated Node #2: [79, 57, 36] from Operation: 40-4=36 Current State: 14:[79, 57, 36], Operations: ['40-4=36'] Exploring Operation: 79-57=22, Resulting Numbers: [36, 22] Generated Node #3: [36, 22] from Operation: 79-57=22 Current State: 14:[36, 22], Operations: ['40-4=36', '79-57=22'] Exploring Operation: 36-22=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 69, 10, 79, 5 ]
98
[ "69+79=148", "10*5=50", "148-50=98" ]
Current State: 98:[69, 10, 79, 5], Operations: [] Exploring Operation: 69+79=148, Resulting Numbers: [10, 5, 148] Generated Node #2: [10, 5, 148] from Operation: 69+79=148 Current State: 98:[10, 5, 148], Operations: ['69+79=148'] Exploring Operation: 10*5=50, Resulting Numbers: [148, 50] Generated Node #3: [148, 50] from Operation: 10*5=50 Current State: 98:[148, 50], Operations: ['69+79=148', '10*5=50'] Exploring Operation: 148-50=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 19, 55, 18, 58 ]
39
[ "58-55=3", "19*3=57", "57-18=39" ]
Current State: 39:[19, 55, 18, 58], Operations: [] Exploring Operation: 58-55=3, Resulting Numbers: [19, 18, 3] Generated Node #2: [19, 18, 3] from Operation: 58-55=3 Current State: 39:[19, 18, 3], Operations: ['58-55=3'] Exploring Operation: 19*3=57, Resulting Numbers: [18, 57] Generated Node #3: [18, 57] from Operation: 19*3=57 Current State: 39:[18, 57], Operations: ['58-55=3', '19*3=57'] Exploring Operation: 57-18=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 93, 90, 17, 98 ]
27
[ "93-90=3", "98-17=81", "81/3=27" ]
Current State: 27:[93, 90, 17, 98], Operations: [] Exploring Operation: 93-90=3, Resulting Numbers: [17, 98, 3] Generated Node #2: [17, 98, 3] from Operation: 93-90=3 Current State: 27:[17, 98, 3], Operations: ['93-90=3'] Exploring Operation: 98-17=81, Resulting Numbers: [3, 81] Generated Node #3: [3, 81] from Operation: 98-17=81 Current State: 27:[3, 81], Operations: ['93-90=3', '98-17=81'] Exploring Operation: 81/3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 59, 15, 66, 21 ]
12
[ "66-59=7", "21/7=3", "15-3=12" ]
Current State: 12:[59, 15, 66, 21], Operations: [] Exploring Operation: 66-59=7, Resulting Numbers: [15, 21, 7] Generated Node #2: [15, 21, 7] from Operation: 66-59=7 Current State: 12:[15, 21, 7], Operations: ['66-59=7'] Exploring Operation: 21/7=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 21/7=3 Current State: 12:[15, 3], Operations: ['66-59=7', '21/7=3'] Exploring Operation: 15-3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 22, 71, 4, 13 ]
73
[ "22+4=26", "26/13=2", "71+2=73" ]
Current State: 73:[22, 71, 4, 13], Operations: [] Exploring Operation: 22+4=26, Resulting Numbers: [71, 13, 26] Generated Node #2: [71, 13, 26] from Operation: 22+4=26 Current State: 73:[71, 13, 26], Operations: ['22+4=26'] Exploring Operation: 26/13=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 26/13=2 Current State: 73:[71, 2], Operations: ['22+4=26', '26/13=2'] Exploring Operation: 71+2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 98, 23, 89, 79 ]
47
[ "98+23=121", "89+79=168", "168-121=47" ]
Current State: 47:[98, 23, 89, 79], Operations: [] Exploring Operation: 98+23=121, Resulting Numbers: [89, 79, 121] Generated Node #2: [89, 79, 121] from Operation: 98+23=121 Current State: 47:[89, 79, 121], Operations: ['98+23=121'] Exploring Operation: 89+79=168, Resulting Numbers: [121, 168] Generated Node #3: [121, 168] from Operation: 89+79=168 Current State: 47:[121, 168], Operations: ['98+23=121', '89+79=168'] Exploring Operation: 168-121=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 88, 11, 35, 37 ]
75
[ "88-11=77", "37-35=2", "77-2=75" ]
Current State: 75:[88, 11, 35, 37], Operations: [] Exploring Operation: 88-11=77, Resulting Numbers: [35, 37, 77] Generated Node #2: [35, 37, 77] from Operation: 88-11=77 Current State: 75:[35, 37, 77], Operations: ['88-11=77'] Exploring Operation: 37-35=2, Resulting Numbers: [77, 2] Generated Node #3: [77, 2] from Operation: 37-35=2 Current State: 75:[77, 2], Operations: ['88-11=77', '37-35=2'] Exploring Operation: 77-2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 13, 14, 96, 26 ]
84
[ "26/13=2", "96-14=82", "2+82=84" ]
Current State: 84:[13, 14, 96, 26], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [14, 96, 2] Generated Node #2: [14, 96, 2] from Operation: 26/13=2 Current State: 84:[14, 96, 2], Operations: ['26/13=2'] Exploring Operation: 96-14=82, Resulting Numbers: [2, 82] Generated Node #3: [2, 82] from Operation: 96-14=82 Current State: 84:[2, 82], Operations: ['26/13=2', '96-14=82'] Exploring Operation: 2+82=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 31, 75, 99, 14 ]
98
[ "31+75=106", "106-99=7", "14*7=98" ]
Current State: 98:[31, 75, 99, 14], Operations: [] Exploring Operation: 31+75=106, Resulting Numbers: [99, 14, 106] Generated Node #2: [99, 14, 106] from Operation: 31+75=106 Current State: 98:[99, 14, 106], Operations: ['31+75=106'] Exploring Operation: 106-99=7, Resulting Numbers: [14, 7] Generated Node #3: [14, 7] from Operation: 106-99=7 Current State: 98:[14, 7], Operations: ['31+75=106', '106-99=7'] Exploring Operation: 14*7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 62, 44, 95, 29 ]
18
[ "62+44=106", "95+29=124", "124-106=18" ]
Current State: 18:[62, 44, 95, 29], Operations: [] Exploring Operation: 62+44=106, Resulting Numbers: [95, 29, 106] Generated Node #2: [95, 29, 106] from Operation: 62+44=106 Current State: 18:[95, 29, 106], Operations: ['62+44=106'] Exploring Operation: 95+29=124, Resulting Numbers: [106, 124] Generated Node #3: [106, 124] from Operation: 95+29=124 Current State: 18:[106, 124], Operations: ['62+44=106', '95+29=124'] Exploring Operation: 124-106=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 48, 68, 29, 25 ]
74
[ "68-48=20", "29+25=54", "20+54=74" ]
Current State: 74:[48, 68, 29, 25], Operations: [] Exploring Operation: 68-48=20, Resulting Numbers: [29, 25, 20] Generated Node #2: [29, 25, 20] from Operation: 68-48=20 Current State: 74:[29, 25, 20], Operations: ['68-48=20'] Exploring Operation: 29+25=54, Resulting Numbers: [20, 54] Generated Node #3: [20, 54] from Operation: 29+25=54 Current State: 74:[20, 54], Operations: ['68-48=20', '29+25=54'] Exploring Operation: 20+54=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 32, 91, 21, 49 ]
30
[ "91-49=42", "42/21=2", "32-2=30" ]
Current State: 30:[32, 91, 21, 49], Operations: [] Exploring Operation: 91-49=42, Resulting Numbers: [32, 21, 42] Generated Node #2: [32, 21, 42] from Operation: 91-49=42 Current State: 30:[32, 21, 42], Operations: ['91-49=42'] Exploring Operation: 42/21=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 42/21=2 Current State: 30:[32, 2], Operations: ['91-49=42', '42/21=2'] Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 31, 21, 98, 65 ]
23
[ "31-21=10", "98-65=33", "33-10=23" ]
Current State: 23:[31, 21, 98, 65], Operations: [] Exploring Operation: 31-21=10, Resulting Numbers: [98, 65, 10] Generated Node #2: [98, 65, 10] from Operation: 31-21=10 Current State: 23:[98, 65, 10], Operations: ['31-21=10'] Exploring Operation: 98-65=33, Resulting Numbers: [10, 33] Generated Node #3: [10, 33] from Operation: 98-65=33 Current State: 23:[10, 33], Operations: ['31-21=10', '98-65=33'] Exploring Operation: 33-10=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 17, 18, 25, 8 ]
46
[ "25-17=8", "8*8=64", "64-18=46" ]
Current State: 46:[17, 18, 25, 8], Operations: [] Exploring Operation: 25-17=8, Resulting Numbers: [18, 8, 8] Generated Node #2: [18, 8, 8] from Operation: 25-17=8 Current State: 46:[18, 8, 8], Operations: ['25-17=8'] Exploring Operation: 8*8=64, Resulting Numbers: [18, 64] Generated Node #3: [18, 64] from Operation: 8*8=64 Current State: 46:[18, 64], Operations: ['25-17=8', '8*8=64'] Exploring Operation: 64-18=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 59, 44, 73, 37 ]
71
[ "59-37=22", "44/22=2", "73-2=71" ]
Current State: 71:[59, 44, 73, 37], Operations: [] Exploring Operation: 59-37=22, Resulting Numbers: [44, 73, 22] Generated Node #2: [44, 73, 22] from Operation: 59-37=22 Current State: 71:[44, 73, 22], Operations: ['59-37=22'] Exploring Operation: 44/22=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 44/22=2 Current State: 71:[73, 2], Operations: ['59-37=22', '44/22=2'] Exploring Operation: 73-2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 11, 72, 44, 70 ]
88
[ "11*72=792", "792/44=18", "70+18=88" ]
Current State: 88:[11, 72, 44, 70], Operations: [] Exploring Operation: 11*72=792, Resulting Numbers: [44, 70, 792] Generated Node #2: [44, 70, 792] from Operation: 11*72=792 Current State: 88:[44, 70, 792], Operations: ['11*72=792'] Exploring Operation: 792/44=18, Resulting Numbers: [70, 18] Generated Node #3: [70, 18] from Operation: 792/44=18 Current State: 88:[70, 18], Operations: ['11*72=792', '792/44=18'] Exploring Operation: 70+18=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 9, 88, 38, 2 ]
30
[ "38-9=29", "2*29=58", "88-58=30" ]
Current State: 30:[9, 88, 38, 2], Operations: [] Exploring Operation: 38-9=29, Resulting Numbers: [88, 2, 29] Generated Node #2: [88, 2, 29] from Operation: 38-9=29 Current State: 30:[88, 2, 29], Operations: ['38-9=29'] Exploring Operation: 2*29=58, Resulting Numbers: [88, 58] Generated Node #3: [88, 58] from Operation: 2*29=58 Current State: 30:[88, 58], Operations: ['38-9=29', '2*29=58'] Exploring Operation: 88-58=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 38, 62, 68, 31 ]
87
[ "38*31=1178", "1178/62=19", "68+19=87" ]
Current State: 87:[38, 62, 68, 31], Operations: [] Exploring Operation: 38*31=1178, Resulting Numbers: [62, 68, 1178] Generated Node #2: [62, 68, 1178] from Operation: 38*31=1178 Current State: 87:[62, 68, 1178], Operations: ['38*31=1178'] Exploring Operation: 1178/62=19, Resulting Numbers: [68, 19] Generated Node #3: [68, 19] from Operation: 1178/62=19 Current State: 87:[68, 19], Operations: ['38*31=1178', '1178/62=19'] Exploring Operation: 68+19=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 10, 42, 61, 40 ]
66
[ "42-40=2", "10/2=5", "61+5=66" ]
Current State: 66:[10, 42, 61, 40], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [10, 61, 2] Generated Node #2: [10, 61, 2] from Operation: 42-40=2 Current State: 66:[10, 61, 2], Operations: ['42-40=2'] Exploring Operation: 10/2=5, Resulting Numbers: [61, 5] Generated Node #3: [61, 5] from Operation: 10/2=5 Current State: 66:[61, 5], Operations: ['42-40=2', '10/2=5'] Exploring Operation: 61+5=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 5, 84, 59, 42 ]
72
[ "5+84=89", "59-42=17", "89-17=72" ]
Current State: 72:[5, 84, 59, 42], Operations: [] Exploring Operation: 5+84=89, Resulting Numbers: [59, 42, 89] Generated Node #2: [59, 42, 89] from Operation: 5+84=89 Current State: 72:[59, 42, 89], Operations: ['5+84=89'] Exploring Operation: 59-42=17, Resulting Numbers: [89, 17] Generated Node #3: [89, 17] from Operation: 59-42=17 Current State: 72:[89, 17], Operations: ['5+84=89', '59-42=17'] Exploring Operation: 89-17=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 54, 48, 21, 69 ]
53
[ "48+21=69", "69/69=1", "54-1=53" ]
Current State: 53:[54, 48, 21, 69], Operations: [] Exploring Operation: 48+21=69, Resulting Numbers: [54, 69, 69] Generated Node #2: [54, 69, 69] from Operation: 48+21=69 Current State: 53:[54, 69, 69], Operations: ['48+21=69'] Exploring Operation: 69/69=1, Resulting Numbers: [54, 1] Generated Node #3: [54, 1] from Operation: 69/69=1 Current State: 53:[54, 1], Operations: ['48+21=69', '69/69=1'] Exploring Operation: 54-1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 61, 6, 74, 30 ]
65
[ "74-61=13", "30/6=5", "13*5=65" ]
Current State: 65:[61, 6, 74, 30], Operations: [] Exploring Operation: 74-61=13, Resulting Numbers: [6, 30, 13] Generated Node #2: [6, 30, 13] from Operation: 74-61=13 Current State: 65:[6, 30, 13], Operations: ['74-61=13'] Exploring Operation: 30/6=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 30/6=5 Current State: 65:[13, 5], Operations: ['74-61=13', '30/6=5'] Exploring Operation: 13*5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 2, 18, 84, 55 ]
20
[ "18/2=9", "84-55=29", "29-9=20" ]
Current State: 20:[2, 18, 84, 55], Operations: [] Exploring Operation: 18/2=9, Resulting Numbers: [84, 55, 9] Generated Node #2: [84, 55, 9] from Operation: 18/2=9 Current State: 20:[84, 55, 9], Operations: ['18/2=9'] Exploring Operation: 84-55=29, Resulting Numbers: [9, 29] Generated Node #3: [9, 29] from Operation: 84-55=29 Current State: 20:[9, 29], Operations: ['18/2=9', '84-55=29'] Exploring Operation: 29-9=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 39, 68, 42, 78 ]
76
[ "39*68=2652", "2652/78=34", "42+34=76" ]
Current State: 76:[39, 68, 42, 78], Operations: [] Exploring Operation: 39*68=2652, Resulting Numbers: [42, 78, 2652] Generated Node #2: [42, 78, 2652] from Operation: 39*68=2652 Current State: 76:[42, 78, 2652], Operations: ['39*68=2652'] Exploring Operation: 2652/78=34, Resulting Numbers: [42, 34] Generated Node #3: [42, 34] from Operation: 2652/78=34 Current State: 76:[42, 34], Operations: ['39*68=2652', '2652/78=34'] Exploring Operation: 42+34=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 99, 36, 16, 22 ]
90
[ "36-16=20", "99*20=1980", "1980/22=90" ]
Current State: 90:[99, 36, 16, 22], Operations: [] Exploring Operation: 36-16=20, Resulting Numbers: [99, 22, 20] Generated Node #2: [99, 22, 20] from Operation: 36-16=20 Current State: 90:[99, 22, 20], Operations: ['36-16=20'] Exploring Operation: 99*20=1980, Resulting Numbers: [22, 1980] Generated Node #3: [22, 1980] from Operation: 99*20=1980 Current State: 90:[22, 1980], Operations: ['36-16=20', '99*20=1980'] Exploring Operation: 1980/22=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 15, 86, 94, 64 ]
23
[ "94-86=8", "64/8=8", "15+8=23" ]
Current State: 23:[15, 86, 94, 64], Operations: [] Exploring Operation: 94-86=8, Resulting Numbers: [15, 64, 8] Generated Node #2: [15, 64, 8] from Operation: 94-86=8 Current State: 23:[15, 64, 8], Operations: ['94-86=8'] Exploring Operation: 64/8=8, Resulting Numbers: [15, 8] Generated Node #3: [15, 8] from Operation: 64/8=8 Current State: 23:[15, 8], Operations: ['94-86=8', '64/8=8'] Exploring Operation: 15+8=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 13, 93, 17, 80 ]
18
[ "93-13=80", "80/80=1", "17+1=18" ]
Current State: 18:[13, 93, 17, 80], Operations: [] Exploring Operation: 93-13=80, Resulting Numbers: [17, 80, 80] Generated Node #2: [17, 80, 80] from Operation: 93-13=80 Current State: 18:[17, 80, 80], Operations: ['93-13=80'] Exploring Operation: 80/80=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 80/80=1 Current State: 18:[17, 1], Operations: ['93-13=80', '80/80=1'] Exploring Operation: 17+1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 58, 74, 87, 82 ]
80
[ "74-58=16", "87-82=5", "16*5=80" ]
Current State: 80:[58, 74, 87, 82], Operations: [] Exploring Operation: 74-58=16, Resulting Numbers: [87, 82, 16] Generated Node #2: [87, 82, 16] from Operation: 74-58=16 Current State: 80:[87, 82, 16], Operations: ['74-58=16'] Exploring Operation: 87-82=5, Resulting Numbers: [16, 5] Generated Node #3: [16, 5] from Operation: 87-82=5 Current State: 80:[16, 5], Operations: ['74-58=16', '87-82=5'] Exploring Operation: 16*5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 39, 72, 95, 91 ]
75
[ "39+72=111", "95+91=186", "186-111=75" ]
Current State: 75:[39, 72, 95, 91], Operations: [] Exploring Operation: 39+72=111, Resulting Numbers: [95, 91, 111] Generated Node #2: [95, 91, 111] from Operation: 39+72=111 Current State: 75:[95, 91, 111], Operations: ['39+72=111'] Exploring Operation: 95+91=186, Resulting Numbers: [111, 186] Generated Node #3: [111, 186] from Operation: 95+91=186 Current State: 75:[111, 186], Operations: ['39+72=111', '95+91=186'] Exploring Operation: 186-111=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 73, 2, 87, 58 ]
46
[ "73+2=75", "87-58=29", "75-29=46" ]
Current State: 46:[73, 2, 87, 58], Operations: [] Exploring Operation: 73+2=75, Resulting Numbers: [87, 58, 75] Generated Node #2: [87, 58, 75] from Operation: 73+2=75 Current State: 46:[87, 58, 75], Operations: ['73+2=75'] Exploring Operation: 87-58=29, Resulting Numbers: [75, 29] Generated Node #3: [75, 29] from Operation: 87-58=29 Current State: 46:[75, 29], Operations: ['73+2=75', '87-58=29'] Exploring Operation: 75-29=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 37, 30, 43, 26 ]
24
[ "37-30=7", "43-26=17", "7+17=24" ]
Current State: 24:[37, 30, 43, 26], Operations: [] Exploring Operation: 37-30=7, Resulting Numbers: [43, 26, 7] Generated Node #2: [43, 26, 7] from Operation: 37-30=7 Current State: 24:[43, 26, 7], Operations: ['37-30=7'] Exploring Operation: 43-26=17, Resulting Numbers: [7, 17] Generated Node #3: [7, 17] from Operation: 43-26=17 Current State: 24:[7, 17], Operations: ['37-30=7', '43-26=17'] Exploring Operation: 7+17=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 38, 72, 47, 11 ]
92
[ "72-38=34", "47+11=58", "34+58=92" ]
Current State: 92:[38, 72, 47, 11], Operations: [] Exploring Operation: 72-38=34, Resulting Numbers: [47, 11, 34] Generated Node #2: [47, 11, 34] from Operation: 72-38=34 Current State: 92:[47, 11, 34], Operations: ['72-38=34'] Exploring Operation: 47+11=58, Resulting Numbers: [34, 58] Generated Node #3: [34, 58] from Operation: 47+11=58 Current State: 92:[34, 58], Operations: ['72-38=34', '47+11=58'] Exploring Operation: 34+58=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 63, 50, 4, 9 ]
13
[ "63+50=113", "4+113=117", "117/9=13" ]
Current State: 13:[63, 50, 4, 9], Operations: [] Exploring Operation: 63+50=113, Resulting Numbers: [4, 9, 113] Generated Node #2: [4, 9, 113] from Operation: 63+50=113 Current State: 13:[4, 9, 113], Operations: ['63+50=113'] Exploring Operation: 4+113=117, Resulting Numbers: [9, 117] Generated Node #3: [9, 117] from Operation: 4+113=117 Current State: 13:[9, 117], Operations: ['63+50=113', '4+113=117'] Exploring Operation: 117/9=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 1, 53, 34, 44 ]
43
[ "1*53=53", "44-34=10", "53-10=43" ]
Current State: 43:[1, 53, 34, 44], Operations: [] Exploring Operation: 1*53=53, Resulting Numbers: [34, 44, 53] Generated Node #2: [34, 44, 53] from Operation: 1*53=53 Current State: 43:[34, 44, 53], Operations: ['1*53=53'] Exploring Operation: 44-34=10, Resulting Numbers: [53, 10] Generated Node #3: [53, 10] from Operation: 44-34=10 Current State: 43:[53, 10], Operations: ['1*53=53', '44-34=10'] Exploring Operation: 53-10=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 38, 18, 29, 84 ]
93
[ "38-18=20", "29+84=113", "113-20=93" ]
Current State: 93:[38, 18, 29, 84], Operations: [] Exploring Operation: 38-18=20, Resulting Numbers: [29, 84, 20] Generated Node #2: [29, 84, 20] from Operation: 38-18=20 Current State: 93:[29, 84, 20], Operations: ['38-18=20'] Exploring Operation: 29+84=113, Resulting Numbers: [20, 113] Generated Node #3: [20, 113] from Operation: 29+84=113 Current State: 93:[20, 113], Operations: ['38-18=20', '29+84=113'] Exploring Operation: 113-20=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 1, 25, 74, 1 ]
100
[ "1+25=26", "74*1=74", "26+74=100" ]
Current State: 100:[1, 25, 74, 1], Operations: [] Exploring Operation: 1+25=26, Resulting Numbers: [74, 26] Generated Node #2: [74, 26] from Operation: 1+25=26 Current State: 100:[74, 26], Operations: ['1+25=26'] Exploring Operation: 74*1=74, Resulting Numbers: [26, 74] Generated Node #3: [26, 74] from Operation: 74*1=74 Current State: 100:[26, 74], Operations: ['1+25=26', '74*1=74'] Exploring Operation: 26+74=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 68, 16, 8, 41 ]
51
[ "68+16=84", "41-8=33", "84-33=51" ]
Current State: 51:[68, 16, 8, 41], Operations: [] Exploring Operation: 68+16=84, Resulting Numbers: [8, 41, 84] Generated Node #2: [8, 41, 84] from Operation: 68+16=84 Current State: 51:[8, 41, 84], Operations: ['68+16=84'] Exploring Operation: 41-8=33, Resulting Numbers: [84, 33] Generated Node #3: [84, 33] from Operation: 41-8=33 Current State: 51:[84, 33], Operations: ['68+16=84', '41-8=33'] Exploring Operation: 84-33=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 30, 18, 25, 12 ]
26
[ "30-18=12", "12/12=1", "25+1=26" ]
Current State: 26:[30, 18, 25, 12], Operations: [] Exploring Operation: 30-18=12, Resulting Numbers: [25, 12, 12] Generated Node #2: [25, 12, 12] from Operation: 30-18=12 Current State: 26:[25, 12, 12], Operations: ['30-18=12'] Exploring Operation: 12/12=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 12/12=1 Current State: 26:[25, 1], Operations: ['30-18=12', '12/12=1'] Exploring Operation: 25+1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 93, 42, 22, 1 ]
29
[ "93-42=51", "22*1=22", "51-22=29" ]
Current State: 29:[93, 42, 22, 1], Operations: [] Exploring Operation: 93-42=51, Resulting Numbers: [22, 1, 51] Generated Node #2: [22, 1, 51] from Operation: 93-42=51 Current State: 29:[22, 1, 51], Operations: ['93-42=51'] Exploring Operation: 22*1=22, Resulting Numbers: [51, 22] Generated Node #3: [51, 22] from Operation: 22*1=22 Current State: 29:[51, 22], Operations: ['93-42=51', '22*1=22'] Exploring Operation: 51-22=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 87, 78, 40, 37 ]
88
[ "87+78=165", "40+37=77", "165-77=88" ]
Current State: 88:[87, 78, 40, 37], Operations: [] Exploring Operation: 87+78=165, Resulting Numbers: [40, 37, 165] Generated Node #2: [40, 37, 165] from Operation: 87+78=165 Current State: 88:[40, 37, 165], Operations: ['87+78=165'] Exploring Operation: 40+37=77, Resulting Numbers: [165, 77] Generated Node #3: [165, 77] from Operation: 40+37=77 Current State: 88:[165, 77], Operations: ['87+78=165', '40+37=77'] Exploring Operation: 165-77=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 2, 6, 57, 4 ]
69
[ "2+6=8", "57+4=61", "8+61=69" ]
Current State: 69:[2, 6, 57, 4], Operations: [] Exploring Operation: 2+6=8, Resulting Numbers: [57, 4, 8] Generated Node #2: [57, 4, 8] from Operation: 2+6=8 Current State: 69:[57, 4, 8], Operations: ['2+6=8'] Exploring Operation: 57+4=61, Resulting Numbers: [8, 61] Generated Node #3: [8, 61] from Operation: 57+4=61 Current State: 69:[8, 61], Operations: ['2+6=8', '57+4=61'] Exploring Operation: 8+61=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 17, 2, 42, 7 ]
22
[ "17-7=10", "2*10=20", "42-20=22" ]
Current State: 22:[17, 2, 42, 7], Operations: [] Exploring Operation: 17-7=10, Resulting Numbers: [2, 42, 10] Generated Node #2: [2, 42, 10] from Operation: 17-7=10 Current State: 22:[2, 42, 10], Operations: ['17-7=10'] Exploring Operation: 2*10=20, Resulting Numbers: [42, 20] Generated Node #3: [42, 20] from Operation: 2*10=20 Current State: 22:[42, 20], Operations: ['17-7=10', '2*10=20'] Exploring Operation: 42-20=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 93, 22, 14, 80 ]
21
[ "93+22=115", "14+80=94", "115-94=21" ]
Current State: 21:[93, 22, 14, 80], Operations: [] Exploring Operation: 93+22=115, Resulting Numbers: [14, 80, 115] Generated Node #2: [14, 80, 115] from Operation: 93+22=115 Current State: 21:[14, 80, 115], Operations: ['93+22=115'] Exploring Operation: 14+80=94, Resulting Numbers: [115, 94] Generated Node #3: [115, 94] from Operation: 14+80=94 Current State: 21:[115, 94], Operations: ['93+22=115', '14+80=94'] Exploring Operation: 115-94=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 34, 99, 32, 37 ]
71
[ "37-32=5", "34*5=170", "170-99=71" ]
Current State: 71:[34, 99, 32, 37], Operations: [] Exploring Operation: 37-32=5, Resulting Numbers: [34, 99, 5] Generated Node #2: [34, 99, 5] from Operation: 37-32=5 Current State: 71:[34, 99, 5], Operations: ['37-32=5'] Exploring Operation: 34*5=170, Resulting Numbers: [99, 170] Generated Node #3: [99, 170] from Operation: 34*5=170 Current State: 71:[99, 170], Operations: ['37-32=5', '34*5=170'] Exploring Operation: 170-99=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 80, 78, 77, 14 ]
40
[ "80-77=3", "78/3=26", "14+26=40" ]
Current State: 40:[80, 78, 77, 14], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [78, 14, 3] Generated Node #2: [78, 14, 3] from Operation: 80-77=3 Current State: 40:[78, 14, 3], Operations: ['80-77=3'] Exploring Operation: 78/3=26, Resulting Numbers: [14, 26] Generated Node #3: [14, 26] from Operation: 78/3=26 Current State: 40:[14, 26], Operations: ['80-77=3', '78/3=26'] Exploring Operation: 14+26=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 76, 76, 31, 16 ]
46
[ "76/76=1", "31+16=47", "47-1=46" ]
Current State: 46:[76, 76, 31, 16], Operations: [] Exploring Operation: 76/76=1, Resulting Numbers: [31, 16, 1] Generated Node #2: [31, 16, 1] from Operation: 76/76=1 Current State: 46:[31, 16, 1], Operations: ['76/76=1'] Exploring Operation: 31+16=47, Resulting Numbers: [1, 47] Generated Node #3: [1, 47] from Operation: 31+16=47 Current State: 46:[1, 47], Operations: ['76/76=1', '31+16=47'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 8, 6, 36, 82 ]
96
[ "8+82=90", "36/6=6", "90+6=96" ]
Current State: 96:[8, 6, 36, 82], Operations: [] Exploring Operation: 8+82=90, Resulting Numbers: [6, 36, 90] Generated Node #2: [6, 36, 90] from Operation: 8+82=90 Current State: 96:[6, 36, 90], Operations: ['8+82=90'] Exploring Operation: 36/6=6, Resulting Numbers: [90, 6] Generated Node #3: [90, 6] from Operation: 36/6=6 Current State: 96:[90, 6], Operations: ['8+82=90', '36/6=6'] Exploring Operation: 90+6=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 11, 88, 46, 3 ]
70
[ "88/11=8", "3*8=24", "46+24=70" ]
Current State: 70:[11, 88, 46, 3], Operations: [] Exploring Operation: 88/11=8, Resulting Numbers: [46, 3, 8] Generated Node #2: [46, 3, 8] from Operation: 88/11=8 Current State: 70:[46, 3, 8], Operations: ['88/11=8'] Exploring Operation: 3*8=24, Resulting Numbers: [46, 24] Generated Node #3: [46, 24] from Operation: 3*8=24 Current State: 70:[46, 24], Operations: ['88/11=8', '3*8=24'] Exploring Operation: 46+24=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 97, 2, 56, 34 ]
86
[ "56-34=22", "22/2=11", "97-11=86" ]
Current State: 86:[97, 2, 56, 34], Operations: [] Exploring Operation: 56-34=22, Resulting Numbers: [97, 2, 22] Generated Node #2: [97, 2, 22] from Operation: 56-34=22 Current State: 86:[97, 2, 22], Operations: ['56-34=22'] Exploring Operation: 22/2=11, Resulting Numbers: [97, 11] Generated Node #3: [97, 11] from Operation: 22/2=11 Current State: 86:[97, 11], Operations: ['56-34=22', '22/2=11'] Exploring Operation: 97-11=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 44, 62, 31, 68 ]
20
[ "44*62=2728", "2728/31=88", "88-68=20" ]
Current State: 20:[44, 62, 31, 68], Operations: [] Exploring Operation: 44*62=2728, Resulting Numbers: [31, 68, 2728] Generated Node #2: [31, 68, 2728] from Operation: 44*62=2728 Current State: 20:[31, 68, 2728], Operations: ['44*62=2728'] Exploring Operation: 2728/31=88, Resulting Numbers: [68, 88] Generated Node #3: [68, 88] from Operation: 2728/31=88 Current State: 20:[68, 88], Operations: ['44*62=2728', '2728/31=88'] Exploring Operation: 88-68=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 48, 42, 61, 28 ]
93
[ "48*28=1344", "1344/42=32", "61+32=93" ]
Current State: 93:[48, 42, 61, 28], Operations: [] Exploring Operation: 48*28=1344, Resulting Numbers: [42, 61, 1344] Generated Node #2: [42, 61, 1344] from Operation: 48*28=1344 Current State: 93:[42, 61, 1344], Operations: ['48*28=1344'] Exploring Operation: 1344/42=32, Resulting Numbers: [61, 32] Generated Node #3: [61, 32] from Operation: 1344/42=32 Current State: 93:[61, 32], Operations: ['48*28=1344', '1344/42=32'] Exploring Operation: 61+32=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 32, 47, 71, 10 ]
80
[ "32+47=79", "79-71=8", "10*8=80" ]
Current State: 80:[32, 47, 71, 10], Operations: [] Exploring Operation: 32+47=79, Resulting Numbers: [71, 10, 79] Generated Node #2: [71, 10, 79] from Operation: 32+47=79 Current State: 80:[71, 10, 79], Operations: ['32+47=79'] Exploring Operation: 79-71=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 79-71=8 Current State: 80:[10, 8], Operations: ['32+47=79', '79-71=8'] Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 11, 44, 77, 84 ]
59
[ "44*84=3696", "3696/77=48", "11+48=59" ]
Current State: 59:[11, 44, 77, 84], Operations: [] Exploring Operation: 44*84=3696, Resulting Numbers: [11, 77, 3696] Generated Node #2: [11, 77, 3696] from Operation: 44*84=3696 Current State: 59:[11, 77, 3696], Operations: ['44*84=3696'] Exploring Operation: 3696/77=48, Resulting Numbers: [11, 48] Generated Node #3: [11, 48] from Operation: 3696/77=48 Current State: 59:[11, 48], Operations: ['44*84=3696', '3696/77=48'] Exploring Operation: 11+48=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 16, 27, 3, 30 ]
23
[ "30-16=14", "27/3=9", "14+9=23" ]
Current State: 23:[16, 27, 3, 30], Operations: [] Exploring Operation: 30-16=14, Resulting Numbers: [27, 3, 14] Generated Node #2: [27, 3, 14] from Operation: 30-16=14 Current State: 23:[27, 3, 14], Operations: ['30-16=14'] Exploring Operation: 27/3=9, Resulting Numbers: [14, 9] Generated Node #3: [14, 9] from Operation: 27/3=9 Current State: 23:[14, 9], Operations: ['30-16=14', '27/3=9'] Exploring Operation: 14+9=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 58, 30, 26, 21 ]
83
[ "58+30=88", "26-21=5", "88-5=83" ]
Current State: 83:[58, 30, 26, 21], Operations: [] Exploring Operation: 58+30=88, Resulting Numbers: [26, 21, 88] Generated Node #2: [26, 21, 88] from Operation: 58+30=88 Current State: 83:[26, 21, 88], Operations: ['58+30=88'] Exploring Operation: 26-21=5, Resulting Numbers: [88, 5] Generated Node #3: [88, 5] from Operation: 26-21=5 Current State: 83:[88, 5], Operations: ['58+30=88', '26-21=5'] Exploring Operation: 88-5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 71, 30, 68, 45 ]
45
[ "71-68=3", "45-30=15", "3*15=45" ]
Current State: 45:[71, 30, 68, 45], Operations: [] Exploring Operation: 71-68=3, Resulting Numbers: [30, 45, 3] Generated Node #2: [30, 45, 3] from Operation: 71-68=3 Current State: 45:[30, 45, 3], Operations: ['71-68=3'] Exploring Operation: 45-30=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 45-30=15 Current State: 45:[3, 15], Operations: ['71-68=3', '45-30=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 32, 6, 97, 3 ]
47
[ "97-32=65", "6*3=18", "65-18=47" ]
Current State: 47:[32, 6, 97, 3], Operations: [] Exploring Operation: 97-32=65, Resulting Numbers: [6, 3, 65] Generated Node #2: [6, 3, 65] from Operation: 97-32=65 Current State: 47:[6, 3, 65], Operations: ['97-32=65'] Exploring Operation: 6*3=18, Resulting Numbers: [65, 18] Generated Node #3: [65, 18] from Operation: 6*3=18 Current State: 47:[65, 18], Operations: ['97-32=65', '6*3=18'] Exploring Operation: 65-18=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 27, 58, 47, 44 ]
34
[ "58-27=31", "47-44=3", "31+3=34" ]
Current State: 34:[27, 58, 47, 44], Operations: [] Exploring Operation: 58-27=31, Resulting Numbers: [47, 44, 31] Generated Node #2: [47, 44, 31] from Operation: 58-27=31 Current State: 34:[47, 44, 31], Operations: ['58-27=31'] Exploring Operation: 47-44=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 47-44=3 Current State: 34:[31, 3], Operations: ['58-27=31', '47-44=3'] Exploring Operation: 31+3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 14, 2, 75, 62 ]
92
[ "75-14=61", "62/2=31", "61+31=92" ]
Current State: 92:[14, 2, 75, 62], Operations: [] Exploring Operation: 75-14=61, Resulting Numbers: [2, 62, 61] Generated Node #2: [2, 62, 61] from Operation: 75-14=61 Current State: 92:[2, 62, 61], Operations: ['75-14=61'] Exploring Operation: 62/2=31, Resulting Numbers: [61, 31] Generated Node #3: [61, 31] from Operation: 62/2=31 Current State: 92:[61, 31], Operations: ['75-14=61', '62/2=31'] Exploring Operation: 61+31=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 10, 42, 53, 77 ]
76
[ "10+42=52", "77-53=24", "52+24=76" ]
Current State: 76:[10, 42, 53, 77], Operations: [] Exploring Operation: 10+42=52, Resulting Numbers: [53, 77, 52] Generated Node #2: [53, 77, 52] from Operation: 10+42=52 Current State: 76:[53, 77, 52], Operations: ['10+42=52'] Exploring Operation: 77-53=24, Resulting Numbers: [52, 24] Generated Node #3: [52, 24] from Operation: 77-53=24 Current State: 76:[52, 24], Operations: ['10+42=52', '77-53=24'] Exploring Operation: 52+24=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 20, 20, 25, 18 ]
90
[ "20+25=45", "20-18=2", "45*2=90" ]
Current State: 90:[20, 20, 25, 18], Operations: [] Exploring Operation: 20+25=45, Resulting Numbers: [18, 45] Generated Node #2: [18, 45] from Operation: 20+25=45 Current State: 90:[18, 45], Operations: ['20+25=45'] Exploring Operation: 20-18=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 20-18=2 Current State: 90:[45, 2], Operations: ['20+25=45', '20-18=2'] Exploring Operation: 45*2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 62, 1, 10, 3 ]
48
[ "62-1=61", "10+3=13", "61-13=48" ]
Current State: 48:[62, 1, 10, 3], Operations: [] Exploring Operation: 62-1=61, Resulting Numbers: [10, 3, 61] Generated Node #2: [10, 3, 61] from Operation: 62-1=61 Current State: 48:[10, 3, 61], Operations: ['62-1=61'] Exploring Operation: 10+3=13, Resulting Numbers: [61, 13] Generated Node #3: [61, 13] from Operation: 10+3=13 Current State: 48:[61, 13], Operations: ['62-1=61', '10+3=13'] Exploring Operation: 61-13=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 2, 79, 84 ]
69
[ "3*79=237", "2*84=168", "237-168=69" ]
Current State: 69:[3, 2, 79, 84], Operations: [] Exploring Operation: 3*79=237, Resulting Numbers: [2, 84, 237] Generated Node #2: [2, 84, 237] from Operation: 3*79=237 Current State: 69:[2, 84, 237], Operations: ['3*79=237'] Exploring Operation: 2*84=168, Resulting Numbers: [237, 168] Generated Node #3: [237, 168] from Operation: 2*84=168 Current State: 69:[237, 168], Operations: ['3*79=237', '2*84=168'] Exploring Operation: 237-168=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 59, 23, 85, 96 ]
71
[ "59+23=82", "96-85=11", "82-11=71" ]
Current State: 71:[59, 23, 85, 96], Operations: [] Exploring Operation: 59+23=82, Resulting Numbers: [85, 96, 82] Generated Node #2: [85, 96, 82] from Operation: 59+23=82 Current State: 71:[85, 96, 82], Operations: ['59+23=82'] Exploring Operation: 96-85=11, Resulting Numbers: [82, 11] Generated Node #3: [82, 11] from Operation: 96-85=11 Current State: 71:[82, 11], Operations: ['59+23=82', '96-85=11'] Exploring Operation: 82-11=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 41, 77, 96, 5 ]
88
[ "96-41=55", "55/5=11", "77+11=88" ]
Current State: 88:[41, 77, 96, 5], Operations: [] Exploring Operation: 96-41=55, Resulting Numbers: [77, 5, 55] Generated Node #2: [77, 5, 55] from Operation: 96-41=55 Current State: 88:[77, 5, 55], Operations: ['96-41=55'] Exploring Operation: 55/5=11, Resulting Numbers: [77, 11] Generated Node #3: [77, 11] from Operation: 55/5=11 Current State: 88:[77, 11], Operations: ['96-41=55', '55/5=11'] Exploring Operation: 77+11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 39, 13, 45, 3 ]
54
[ "39/13=3", "3*3=9", "45+9=54" ]
Current State: 54:[39, 13, 45, 3], Operations: [] Exploring Operation: 39/13=3, Resulting Numbers: [45, 3, 3] Generated Node #2: [45, 3, 3] from Operation: 39/13=3 Current State: 54:[45, 3, 3], Operations: ['39/13=3'] Exploring Operation: 3*3=9, Resulting Numbers: [45, 9] Generated Node #3: [45, 9] from Operation: 3*3=9 Current State: 54:[45, 9], Operations: ['39/13=3', '3*3=9'] Exploring Operation: 45+9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 5, 42, 78, 65 ]
41
[ "42+78=120", "120/5=24", "65-24=41" ]
Current State: 41:[5, 42, 78, 65], Operations: [] Exploring Operation: 42+78=120, Resulting Numbers: [5, 65, 120] Generated Node #2: [5, 65, 120] from Operation: 42+78=120 Current State: 41:[5, 65, 120], Operations: ['42+78=120'] Exploring Operation: 120/5=24, Resulting Numbers: [65, 24] Generated Node #3: [65, 24] from Operation: 120/5=24 Current State: 41:[65, 24], Operations: ['42+78=120', '120/5=24'] Exploring Operation: 65-24=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 52, 65, 91, 62 ]
88
[ "52+65=117", "91-62=29", "117-29=88" ]
Current State: 88:[52, 65, 91, 62], Operations: [] Exploring Operation: 52+65=117, Resulting Numbers: [91, 62, 117] Generated Node #2: [91, 62, 117] from Operation: 52+65=117 Current State: 88:[91, 62, 117], Operations: ['52+65=117'] Exploring Operation: 91-62=29, Resulting Numbers: [117, 29] Generated Node #3: [117, 29] from Operation: 91-62=29 Current State: 88:[117, 29], Operations: ['52+65=117', '91-62=29'] Exploring Operation: 117-29=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 58, 89, 94, 19 ]
97
[ "58+94=152", "152/19=8", "89+8=97" ]
Current State: 97:[58, 89, 94, 19], Operations: [] Exploring Operation: 58+94=152, Resulting Numbers: [89, 19, 152] Generated Node #2: [89, 19, 152] from Operation: 58+94=152 Current State: 97:[89, 19, 152], Operations: ['58+94=152'] Exploring Operation: 152/19=8, Resulting Numbers: [89, 8] Generated Node #3: [89, 8] from Operation: 152/19=8 Current State: 97:[89, 8], Operations: ['58+94=152', '152/19=8'] Exploring Operation: 89+8=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 11, 97, 8, 58 ]
91
[ "8+58=66", "66/11=6", "97-6=91" ]
Current State: 91:[11, 97, 8, 58], Operations: [] Exploring Operation: 8+58=66, Resulting Numbers: [11, 97, 66] Generated Node #2: [11, 97, 66] from Operation: 8+58=66 Current State: 91:[11, 97, 66], Operations: ['8+58=66'] Exploring Operation: 66/11=6, Resulting Numbers: [97, 6] Generated Node #3: [97, 6] from Operation: 66/11=6 Current State: 91:[97, 6], Operations: ['8+58=66', '66/11=6'] Exploring Operation: 97-6=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 40, 44, 29, 83 ]
79
[ "40-29=11", "44/11=4", "83-4=79" ]
Current State: 79:[40, 44, 29, 83], Operations: [] Exploring Operation: 40-29=11, Resulting Numbers: [44, 83, 11] Generated Node #2: [44, 83, 11] from Operation: 40-29=11 Current State: 79:[44, 83, 11], Operations: ['40-29=11'] Exploring Operation: 44/11=4, Resulting Numbers: [83, 4] Generated Node #3: [83, 4] from Operation: 44/11=4 Current State: 79:[83, 4], Operations: ['40-29=11', '44/11=4'] Exploring Operation: 83-4=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 65, 4, 3, 22 ]
75
[ "65+22=87", "4*3=12", "87-12=75" ]
Current State: 75:[65, 4, 3, 22], Operations: [] Exploring Operation: 65+22=87, Resulting Numbers: [4, 3, 87] Generated Node #2: [4, 3, 87] from Operation: 65+22=87 Current State: 75:[4, 3, 87], Operations: ['65+22=87'] Exploring Operation: 4*3=12, Resulting Numbers: [87, 12] Generated Node #3: [87, 12] from Operation: 4*3=12 Current State: 75:[87, 12], Operations: ['65+22=87', '4*3=12'] Exploring Operation: 87-12=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 51, 51, 61, 8 ]
37
[ "51+61=112", "112/8=14", "51-14=37" ]
Current State: 37:[51, 51, 61, 8], Operations: [] Exploring Operation: 51+61=112, Resulting Numbers: [8, 112] Generated Node #2: [8, 112] from Operation: 51+61=112 Current State: 37:[8, 112], Operations: ['51+61=112'] Exploring Operation: 112/8=14, Resulting Numbers: [14] 14,37 equal: Goal Reached Exploring Operation: 51-14=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 32, 60, 94, 92 ]
76
[ "94-92=2", "32/2=16", "60+16=76" ]
Current State: 76:[32, 60, 94, 92], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [32, 60, 2] Generated Node #2: [32, 60, 2] from Operation: 94-92=2 Current State: 76:[32, 60, 2], Operations: ['94-92=2'] Exploring Operation: 32/2=16, Resulting Numbers: [60, 16] Generated Node #3: [60, 16] from Operation: 32/2=16 Current State: 76:[60, 16], Operations: ['94-92=2', '32/2=16'] Exploring Operation: 60+16=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 30, 38, 56, 1 ]
13
[ "30+38=68", "56-1=55", "68-55=13" ]
Current State: 13:[30, 38, 56, 1], Operations: [] Exploring Operation: 30+38=68, Resulting Numbers: [56, 1, 68] Generated Node #2: [56, 1, 68] from Operation: 30+38=68 Current State: 13:[56, 1, 68], Operations: ['30+38=68'] Exploring Operation: 56-1=55, Resulting Numbers: [68, 55] Generated Node #3: [68, 55] from Operation: 56-1=55 Current State: 13:[68, 55], Operations: ['30+38=68', '56-1=55'] Exploring Operation: 68-55=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 24, 84, 71, 5 ]
59
[ "84-24=60", "60/5=12", "71-12=59" ]
Current State: 59:[24, 84, 71, 5], Operations: [] Exploring Operation: 84-24=60, Resulting Numbers: [71, 5, 60] Generated Node #2: [71, 5, 60] from Operation: 84-24=60 Current State: 59:[71, 5, 60], Operations: ['84-24=60'] Exploring Operation: 60/5=12, Resulting Numbers: [71, 12] Generated Node #3: [71, 12] from Operation: 60/5=12 Current State: 59:[71, 12], Operations: ['84-24=60', '60/5=12'] Exploring Operation: 71-12=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 16, 32, 51, 50 ]
26
[ "32/16=2", "50/2=25", "51-25=26" ]
Current State: 26:[16, 32, 51, 50], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [51, 50, 2] Generated Node #2: [51, 50, 2] from Operation: 32/16=2 Current State: 26:[51, 50, 2], Operations: ['32/16=2'] Exploring Operation: 50/2=25, Resulting Numbers: [51, 25] Generated Node #3: [51, 25] from Operation: 50/2=25 Current State: 26:[51, 25], Operations: ['32/16=2', '50/2=25'] Exploring Operation: 51-25=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 12, 11, 39, 2 ]
85
[ "12+11=23", "2*23=46", "39+46=85" ]
Current State: 85:[12, 11, 39, 2], Operations: [] Exploring Operation: 12+11=23, Resulting Numbers: [39, 2, 23] Generated Node #2: [39, 2, 23] from Operation: 12+11=23 Current State: 85:[39, 2, 23], Operations: ['12+11=23'] Exploring Operation: 2*23=46, Resulting Numbers: [39, 46] Generated Node #3: [39, 46] from Operation: 2*23=46 Current State: 85:[39, 46], Operations: ['12+11=23', '2*23=46'] Exploring Operation: 39+46=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 60, 46, 51, 17 ]
38
[ "60+46=106", "51+17=68", "106-68=38" ]
Current State: 38:[60, 46, 51, 17], Operations: [] Exploring Operation: 60+46=106, Resulting Numbers: [51, 17, 106] Generated Node #2: [51, 17, 106] from Operation: 60+46=106 Current State: 38:[51, 17, 106], Operations: ['60+46=106'] Exploring Operation: 51+17=68, Resulting Numbers: [106, 68] Generated Node #3: [106, 68] from Operation: 51+17=68 Current State: 38:[106, 68], Operations: ['60+46=106', '51+17=68'] Exploring Operation: 106-68=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 40, 30, 10, 27 ]
64
[ "40+27=67", "30/10=3", "67-3=64" ]
Current State: 64:[40, 30, 10, 27], Operations: [] Exploring Operation: 40+27=67, Resulting Numbers: [30, 10, 67] Generated Node #2: [30, 10, 67] from Operation: 40+27=67 Current State: 64:[30, 10, 67], Operations: ['40+27=67'] Exploring Operation: 30/10=3, Resulting Numbers: [67, 3] Generated Node #3: [67, 3] from Operation: 30/10=3 Current State: 64:[67, 3], Operations: ['40+27=67', '30/10=3'] Exploring Operation: 67-3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 82, 52, 63, 34 ]
100
[ "82*63=5166", "34+5166=5200", "5200/52=100" ]
Current State: 100:[82, 52, 63, 34], Operations: [] Exploring Operation: 82*63=5166, Resulting Numbers: [52, 34, 5166] Generated Node #2: [52, 34, 5166] from Operation: 82*63=5166 Current State: 100:[52, 34, 5166], Operations: ['82*63=5166'] Exploring Operation: 34+5166=5200, Resulting Numbers: [52, 5200] Generated Node #3: [52, 5200] from Operation: 34+5166=5200 Current State: 100:[52, 5200], Operations: ['82*63=5166', '34+5166=5200'] Exploring Operation: 5200/52=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 8, 35, 70, 45 ]
60
[ "35+45=80", "80/8=10", "70-10=60" ]
Current State: 60:[8, 35, 70, 45], Operations: [] Exploring Operation: 35+45=80, Resulting Numbers: [8, 70, 80] Generated Node #2: [8, 70, 80] from Operation: 35+45=80 Current State: 60:[8, 70, 80], Operations: ['35+45=80'] Exploring Operation: 80/8=10, Resulting Numbers: [70, 10] Generated Node #3: [70, 10] from Operation: 80/8=10 Current State: 60:[70, 10], Operations: ['35+45=80', '80/8=10'] Exploring Operation: 70-10=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 10, 78, 58, 93 ]
63
[ "10+78=88", "58+93=151", "151-88=63" ]
Current State: 63:[10, 78, 58, 93], Operations: [] Exploring Operation: 10+78=88, Resulting Numbers: [58, 93, 88] Generated Node #2: [58, 93, 88] from Operation: 10+78=88 Current State: 63:[58, 93, 88], Operations: ['10+78=88'] Exploring Operation: 58+93=151, Resulting Numbers: [88, 151] Generated Node #3: [88, 151] from Operation: 58+93=151 Current State: 63:[88, 151], Operations: ['10+78=88', '58+93=151'] Exploring Operation: 151-88=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4