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
[ 73, 17, 38, 82 ]
64
[ "73-17=56", "38+82=120", "120-56=64" ]
Current State: 64:[73, 17, 38, 82], Operations: [] Exploring Operation: 73-17=56, Resulting Numbers: [38, 82, 56] Generated Node #2: [38, 82, 56] from Operation: 73-17=56 Current State: 64:[38, 82, 56], Operations: ['73-17=56'] Exploring Operation: 38+82=120, Resulting Numbers: [56, 120] Generated Node #3: [56, 120] from Operation: 38+82=120 Current State: 64:[56, 120], Operations: ['73-17=56', '38+82=120'] Exploring Operation: 120-56=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 56, 43, 3, 46 ]
65
[ "46-43=3", "3*3=9", "56+9=65" ]
Current State: 65:[56, 43, 3, 46], Operations: [] Exploring Operation: 46-43=3, Resulting Numbers: [56, 3, 3] Generated Node #2: [56, 3, 3] from Operation: 46-43=3 Current State: 65:[56, 3, 3], Operations: ['46-43=3'] Exploring Operation: 3*3=9, Resulting Numbers: [56, 9] Generated Node #3: [56, 9] from Operation: 3*3=9 Current State: 65:[56, 9], Operations: ['46-43=3', '3*3=9'] Exploring Operation: 56+9=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 68, 49, 10, 93 ]
14
[ "68+49=117", "10+93=103", "117-103=14" ]
Current State: 14:[68, 49, 10, 93], Operations: [] Exploring Operation: 68+49=117, Resulting Numbers: [10, 93, 117] Generated Node #2: [10, 93, 117] from Operation: 68+49=117 Current State: 14:[10, 93, 117], Operations: ['68+49=117'] Exploring Operation: 10+93=103, Resulting Numbers: [117, 103] Generated Node #3: [117, 103] from Operation: 10+93=103 Current State: 14:[117, 103], Operations: ['68+49=117', '10+93=103'] Exploring Operation: 117-103=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 45, 51, 23, 86 ]
33
[ "45+51=96", "86-23=63", "96-63=33" ]
Current State: 33:[45, 51, 23, 86], Operations: [] Exploring Operation: 45+51=96, Resulting Numbers: [23, 86, 96] Generated Node #2: [23, 86, 96] from Operation: 45+51=96 Current State: 33:[23, 86, 96], Operations: ['45+51=96'] Exploring Operation: 86-23=63, Resulting Numbers: [96, 63] Generated Node #3: [96, 63] from Operation: 86-23=63 Current State: 33:[96, 63], Operations: ['45+51=96', '86-23=63'] Exploring Operation: 96-63=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 19, 34, 55, 3 ]
22
[ "55-19=36", "36/3=12", "34-12=22" ]
Current State: 22:[19, 34, 55, 3], Operations: [] Exploring Operation: 55-19=36, Resulting Numbers: [34, 3, 36] Generated Node #2: [34, 3, 36] from Operation: 55-19=36 Current State: 22:[34, 3, 36], Operations: ['55-19=36'] Exploring Operation: 36/3=12, Resulting Numbers: [34, 12] Generated Node #3: [34, 12] from Operation: 36/3=12 Current State: 22:[34, 12], Operations: ['55-19=36', '36/3=12'] Exploring Operation: 34-12=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 80, 35, 21, 14 ]
76
[ "35+21=56", "56/14=4", "80-4=76" ]
Current State: 76:[80, 35, 21, 14], Operations: [] Exploring Operation: 35+21=56, Resulting Numbers: [80, 14, 56] Generated Node #2: [80, 14, 56] from Operation: 35+21=56 Current State: 76:[80, 14, 56], Operations: ['35+21=56'] Exploring Operation: 56/14=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 56/14=4 Current State: 76:[80, 4], Operations: ['35+21=56', '56/14=4'] Exploring Operation: 80-4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 31, 31, 32, 95 ]
65
[ "31+31=62", "32+95=127", "127-62=65" ]
Current State: 65:[31, 31, 32, 95], Operations: [] Exploring Operation: 31+31=62, Resulting Numbers: [32, 95, 62] Generated Node #2: [32, 95, 62] from Operation: 31+31=62 Current State: 65:[32, 95, 62], Operations: ['31+31=62'] Exploring Operation: 32+95=127, Resulting Numbers: [62, 127] Generated Node #3: [62, 127] from Operation: 32+95=127 Current State: 65:[62, 127], Operations: ['31+31=62', '32+95=127'] Exploring Operation: 127-62=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 47, 64, 11, 8 ]
37
[ "47+64=111", "11-8=3", "111/3=37" ]
Current State: 37:[47, 64, 11, 8], Operations: [] Exploring Operation: 47+64=111, Resulting Numbers: [11, 8, 111] Generated Node #2: [11, 8, 111] from Operation: 47+64=111 Current State: 37:[11, 8, 111], Operations: ['47+64=111'] Exploring Operation: 11-8=3, Resulting Numbers: [111, 3] Generated Node #3: [111, 3] from Operation: 11-8=3 Current State: 37:[111, 3], Operations: ['47+64=111', '11-8=3'] Exploring Operation: 111/3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 21, 95, 98, 95 ]
77
[ "21+95=116", "98+95=193", "193-116=77" ]
Current State: 77:[21, 95, 98, 95], Operations: [] Exploring Operation: 21+95=116, Resulting Numbers: [98, 116] Generated Node #2: [98, 116] from Operation: 21+95=116 Current State: 77:[98, 116], Operations: ['21+95=116'] Exploring Operation: 98+95=193, Resulting Numbers: [116, 193] Generated Node #3: [116, 193] from Operation: 98+95=193 Current State: 77:[116, 193], Operations: ['21+95=116', '98+95=193'] Exploring Operation: 193-116=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 33, 77, 41, 57 ]
28
[ "77-33=44", "57-41=16", "44-16=28" ]
Current State: 28:[33, 77, 41, 57], Operations: [] Exploring Operation: 77-33=44, Resulting Numbers: [41, 57, 44] Generated Node #2: [41, 57, 44] from Operation: 77-33=44 Current State: 28:[41, 57, 44], Operations: ['77-33=44'] Exploring Operation: 57-41=16, Resulting Numbers: [44, 16] Generated Node #3: [44, 16] from Operation: 57-41=16 Current State: 28:[44, 16], Operations: ['77-33=44', '57-41=16'] Exploring Operation: 44-16=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 41, 10, 23, 82 ]
18
[ "41*10=410", "410/82=5", "23-5=18" ]
Current State: 18:[41, 10, 23, 82], Operations: [] Exploring Operation: 41*10=410, Resulting Numbers: [23, 82, 410] Generated Node #2: [23, 82, 410] from Operation: 41*10=410 Current State: 18:[23, 82, 410], Operations: ['41*10=410'] Exploring Operation: 410/82=5, Resulting Numbers: [23, 5] Generated Node #3: [23, 5] from Operation: 410/82=5 Current State: 18:[23, 5], Operations: ['41*10=410', '410/82=5'] Exploring Operation: 23-5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 27, 47, 16, 6 ]
96
[ "27+47=74", "16+6=22", "74+22=96" ]
Current State: 96:[27, 47, 16, 6], Operations: [] Exploring Operation: 27+47=74, Resulting Numbers: [16, 6, 74] Generated Node #2: [16, 6, 74] from Operation: 27+47=74 Current State: 96:[16, 6, 74], Operations: ['27+47=74'] Exploring Operation: 16+6=22, Resulting Numbers: [74, 22] Generated Node #3: [74, 22] from Operation: 16+6=22 Current State: 96:[74, 22], Operations: ['27+47=74', '16+6=22'] Exploring Operation: 74+22=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 29, 27, 94, 71 ]
25
[ "29-27=2", "94-71=23", "2+23=25" ]
Current State: 25:[29, 27, 94, 71], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [94, 71, 2] Generated Node #2: [94, 71, 2] from Operation: 29-27=2 Current State: 25:[94, 71, 2], Operations: ['29-27=2'] Exploring Operation: 94-71=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 94-71=23 Current State: 25:[2, 23], Operations: ['29-27=2', '94-71=23'] Exploring Operation: 2+23=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 9, 21, 13, 4 ]
80
[ "13-9=4", "21*4=84", "84-4=80" ]
Current State: 80:[9, 21, 13, 4], Operations: [] Exploring Operation: 13-9=4, Resulting Numbers: [21, 4, 4] Generated Node #2: [21, 4, 4] from Operation: 13-9=4 Current State: 80:[21, 4, 4], Operations: ['13-9=4'] Exploring Operation: 21*4=84, Resulting Numbers: [84] 84,80 equal: Goal Reached Exploring Operation: 84-4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 67, 5, 87, 29 ]
24
[ "67+5=72", "87/29=3", "72/3=24" ]
Current State: 24:[67, 5, 87, 29], Operations: [] Exploring Operation: 67+5=72, Resulting Numbers: [87, 29, 72] Generated Node #2: [87, 29, 72] from Operation: 67+5=72 Current State: 24:[87, 29, 72], Operations: ['67+5=72'] Exploring Operation: 87/29=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 87/29=3 Current State: 24:[72, 3], Operations: ['67+5=72', '87/29=3'] Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 65, 51, 60, 31 ]
87
[ "65+51=116", "60-31=29", "116-29=87" ]
Current State: 87:[65, 51, 60, 31], Operations: [] Exploring Operation: 65+51=116, Resulting Numbers: [60, 31, 116] Generated Node #2: [60, 31, 116] from Operation: 65+51=116 Current State: 87:[60, 31, 116], Operations: ['65+51=116'] Exploring Operation: 60-31=29, Resulting Numbers: [116, 29] Generated Node #3: [116, 29] from Operation: 60-31=29 Current State: 87:[116, 29], Operations: ['65+51=116', '60-31=29'] Exploring Operation: 116-29=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 61, 39, 89, 93 ]
88
[ "61-39=22", "93-89=4", "22*4=88" ]
Current State: 88:[61, 39, 89, 93], Operations: [] Exploring Operation: 61-39=22, Resulting Numbers: [89, 93, 22] Generated Node #2: [89, 93, 22] from Operation: 61-39=22 Current State: 88:[89, 93, 22], Operations: ['61-39=22'] Exploring Operation: 93-89=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 93-89=4 Current State: 88:[22, 4], Operations: ['61-39=22', '93-89=4'] Exploring Operation: 22*4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 12, 81, 88, 95 ]
76
[ "81-12=69", "95-88=7", "69+7=76" ]
Current State: 76:[12, 81, 88, 95], Operations: [] Exploring Operation: 81-12=69, Resulting Numbers: [88, 95, 69] Generated Node #2: [88, 95, 69] from Operation: 81-12=69 Current State: 76:[88, 95, 69], Operations: ['81-12=69'] Exploring Operation: 95-88=7, Resulting Numbers: [69, 7] Generated Node #3: [69, 7] from Operation: 95-88=7 Current State: 76:[69, 7], Operations: ['81-12=69', '95-88=7'] Exploring Operation: 69+7=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 76, 32, 2, 74 ]
62
[ "76-74=2", "32*2=64", "64-2=62" ]
Current State: 62:[76, 32, 2, 74], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [32, 2, 2] Generated Node #2: [32, 2, 2] from Operation: 76-74=2 Current State: 62:[32, 2, 2], Operations: ['76-74=2'] Exploring Operation: 32*2=64, Resulting Numbers: [64] 64,62 equal: Goal Reached Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 21, 77, 98, 45 ]
46
[ "21+77=98", "98/98=1", "45+1=46" ]
Current State: 46:[21, 77, 98, 45], Operations: [] Exploring Operation: 21+77=98, Resulting Numbers: [98, 45, 98] Generated Node #2: [98, 45, 98] from Operation: 21+77=98 Current State: 46:[98, 45, 98], Operations: ['21+77=98'] Exploring Operation: 98/98=1, Resulting Numbers: [45, 1] Generated Node #3: [45, 1] from Operation: 98/98=1 Current State: 46:[45, 1], Operations: ['21+77=98', '98/98=1'] Exploring Operation: 45+1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 28, 1, 70, 7 ]
90
[ "28-1=27", "70-7=63", "27+63=90" ]
Current State: 90:[28, 1, 70, 7], Operations: [] Exploring Operation: 28-1=27, Resulting Numbers: [70, 7, 27] Generated Node #2: [70, 7, 27] from Operation: 28-1=27 Current State: 90:[70, 7, 27], Operations: ['28-1=27'] Exploring Operation: 70-7=63, Resulting Numbers: [27, 63] Generated Node #3: [27, 63] from Operation: 70-7=63 Current State: 90:[27, 63], Operations: ['28-1=27', '70-7=63'] Exploring Operation: 27+63=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 99, 9, 68, 18 ]
40
[ "99-9=90", "68-18=50", "90-50=40" ]
Current State: 40:[99, 9, 68, 18], Operations: [] Exploring Operation: 99-9=90, Resulting Numbers: [68, 18, 90] Generated Node #2: [68, 18, 90] from Operation: 99-9=90 Current State: 40:[68, 18, 90], Operations: ['99-9=90'] Exploring Operation: 68-18=50, Resulting Numbers: [90, 50] Generated Node #3: [90, 50] from Operation: 68-18=50 Current State: 40:[90, 50], Operations: ['99-9=90', '68-18=50'] Exploring Operation: 90-50=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 14, 67, 24, 97 ]
10
[ "67-24=43", "97+43=140", "140/14=10" ]
Current State: 10:[14, 67, 24, 97], Operations: [] Exploring Operation: 67-24=43, Resulting Numbers: [14, 97, 43] Generated Node #2: [14, 97, 43] from Operation: 67-24=43 Current State: 10:[14, 97, 43], Operations: ['67-24=43'] Exploring Operation: 97+43=140, Resulting Numbers: [14, 140] Generated Node #3: [14, 140] from Operation: 97+43=140 Current State: 10:[14, 140], Operations: ['67-24=43', '97+43=140'] Exploring Operation: 140/14=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 46, 20, 2, 18 ]
96
[ "46+20=66", "66-18=48", "2*48=96" ]
Current State: 96:[46, 20, 2, 18], Operations: [] Exploring Operation: 46+20=66, Resulting Numbers: [2, 18, 66] Generated Node #2: [2, 18, 66] from Operation: 46+20=66 Current State: 96:[2, 18, 66], Operations: ['46+20=66'] Exploring Operation: 66-18=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 66-18=48 Current State: 96:[2, 48], Operations: ['46+20=66', '66-18=48'] Exploring Operation: 2*48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 17, 5, 14, 62 ]
10
[ "17+14=31", "5*62=310", "310/31=10" ]
Current State: 10:[17, 5, 14, 62], Operations: [] Exploring Operation: 17+14=31, Resulting Numbers: [5, 62, 31] Generated Node #2: [5, 62, 31] from Operation: 17+14=31 Current State: 10:[5, 62, 31], Operations: ['17+14=31'] Exploring Operation: 5*62=310, Resulting Numbers: [31, 310] Generated Node #3: [31, 310] from Operation: 5*62=310 Current State: 10:[31, 310], Operations: ['17+14=31', '5*62=310'] Exploring Operation: 310/31=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 64, 40, 37, 10 ]
57
[ "64+40=104", "37+10=47", "104-47=57" ]
Current State: 57:[64, 40, 37, 10], Operations: [] Exploring Operation: 64+40=104, Resulting Numbers: [37, 10, 104] Generated Node #2: [37, 10, 104] from Operation: 64+40=104 Current State: 57:[37, 10, 104], Operations: ['64+40=104'] Exploring Operation: 37+10=47, Resulting Numbers: [104, 47] Generated Node #3: [104, 47] from Operation: 37+10=47 Current State: 57:[104, 47], Operations: ['64+40=104', '37+10=47'] Exploring Operation: 104-47=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 52, 93, 31, 91 ]
36
[ "91-52=39", "93/31=3", "39-3=36" ]
Current State: 36:[52, 93, 31, 91], Operations: [] Exploring Operation: 91-52=39, Resulting Numbers: [93, 31, 39] Generated Node #2: [93, 31, 39] from Operation: 91-52=39 Current State: 36:[93, 31, 39], Operations: ['91-52=39'] Exploring Operation: 93/31=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 93/31=3 Current State: 36:[39, 3], Operations: ['91-52=39', '93/31=3'] Exploring Operation: 39-3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 49, 55, 73, 12 ]
75
[ "55-49=6", "12/6=2", "73+2=75" ]
Current State: 75:[49, 55, 73, 12], Operations: [] Exploring Operation: 55-49=6, Resulting Numbers: [73, 12, 6] Generated Node #2: [73, 12, 6] from Operation: 55-49=6 Current State: 75:[73, 12, 6], Operations: ['55-49=6'] Exploring Operation: 12/6=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 12/6=2 Current State: 75:[73, 2], Operations: ['55-49=6', '12/6=2'] Exploring Operation: 73+2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 35, 2, 27, 92 ]
88
[ "35-27=8", "8/2=4", "92-4=88" ]
Current State: 88:[35, 2, 27, 92], Operations: [] Exploring Operation: 35-27=8, Resulting Numbers: [2, 92, 8] Generated Node #2: [2, 92, 8] from Operation: 35-27=8 Current State: 88:[2, 92, 8], Operations: ['35-27=8'] Exploring Operation: 8/2=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation: 8/2=4 Current State: 88:[92, 4], Operations: ['35-27=8', '8/2=4'] Exploring Operation: 92-4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 33, 10, 72, 19 ]
68
[ "33-10=23", "72+19=91", "91-23=68" ]
Current State: 68:[33, 10, 72, 19], Operations: [] Exploring Operation: 33-10=23, Resulting Numbers: [72, 19, 23] Generated Node #2: [72, 19, 23] from Operation: 33-10=23 Current State: 68:[72, 19, 23], Operations: ['33-10=23'] Exploring Operation: 72+19=91, Resulting Numbers: [23, 91] Generated Node #3: [23, 91] from Operation: 72+19=91 Current State: 68:[23, 91], Operations: ['33-10=23', '72+19=91'] Exploring Operation: 91-23=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 33, 3, 34, 22 ]
67
[ "33/3=11", "34+22=56", "11+56=67" ]
Current State: 67:[33, 3, 34, 22], Operations: [] Exploring Operation: 33/3=11, Resulting Numbers: [34, 22, 11] Generated Node #2: [34, 22, 11] from Operation: 33/3=11 Current State: 67:[34, 22, 11], Operations: ['33/3=11'] Exploring Operation: 34+22=56, Resulting Numbers: [11, 56] Generated Node #3: [11, 56] from Operation: 34+22=56 Current State: 67:[11, 56], Operations: ['33/3=11', '34+22=56'] Exploring Operation: 11+56=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 41, 63, 86, 34 ]
77
[ "41-34=7", "63/7=9", "86-9=77" ]
Current State: 77:[41, 63, 86, 34], Operations: [] Exploring Operation: 41-34=7, Resulting Numbers: [63, 86, 7] Generated Node #2: [63, 86, 7] from Operation: 41-34=7 Current State: 77:[63, 86, 7], Operations: ['41-34=7'] Exploring Operation: 63/7=9, Resulting Numbers: [86, 9] Generated Node #3: [86, 9] from Operation: 63/7=9 Current State: 77:[86, 9], Operations: ['41-34=7', '63/7=9'] Exploring Operation: 86-9=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 21, 51, 87, 32 ]
55
[ "87*32=2784", "21+2784=2805", "2805/51=55" ]
Current State: 55:[21, 51, 87, 32], Operations: [] Exploring Operation: 87*32=2784, Resulting Numbers: [21, 51, 2784] Generated Node #2: [21, 51, 2784] from Operation: 87*32=2784 Current State: 55:[21, 51, 2784], Operations: ['87*32=2784'] Exploring Operation: 21+2784=2805, Resulting Numbers: [51, 2805] Generated Node #3: [51, 2805] from Operation: 21+2784=2805 Current State: 55:[51, 2805], Operations: ['87*32=2784', '21+2784=2805'] Exploring Operation: 2805/51=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 18, 23, 20, 16 ]
15
[ "20-18=2", "16/2=8", "23-8=15" ]
Current State: 15:[18, 23, 20, 16], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [23, 16, 2] Generated Node #2: [23, 16, 2] from Operation: 20-18=2 Current State: 15:[23, 16, 2], Operations: ['20-18=2'] Exploring Operation: 16/2=8, Resulting Numbers: [23, 8] Generated Node #3: [23, 8] from Operation: 16/2=8 Current State: 15:[23, 8], Operations: ['20-18=2', '16/2=8'] Exploring Operation: 23-8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 83, 44, 10, 96 ]
41
[ "83+44=127", "96-10=86", "127-86=41" ]
Current State: 41:[83, 44, 10, 96], Operations: [] Exploring Operation: 83+44=127, Resulting Numbers: [10, 96, 127] Generated Node #2: [10, 96, 127] from Operation: 83+44=127 Current State: 41:[10, 96, 127], Operations: ['83+44=127'] Exploring Operation: 96-10=86, Resulting Numbers: [127, 86] Generated Node #3: [127, 86] from Operation: 96-10=86 Current State: 41:[127, 86], Operations: ['83+44=127', '96-10=86'] Exploring Operation: 127-86=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 7, 92, 8, 13 ]
89
[ "8+13=21", "21/7=3", "92-3=89" ]
Current State: 89:[7, 92, 8, 13], Operations: [] Exploring Operation: 8+13=21, Resulting Numbers: [7, 92, 21] Generated Node #2: [7, 92, 21] from Operation: 8+13=21 Current State: 89:[7, 92, 21], Operations: ['8+13=21'] Exploring Operation: 21/7=3, Resulting Numbers: [92, 3] Generated Node #3: [92, 3] from Operation: 21/7=3 Current State: 89:[92, 3], Operations: ['8+13=21', '21/7=3'] Exploring Operation: 92-3=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 41, 95, 51, 78 ]
75
[ "95-41=54", "51+78=129", "129-54=75" ]
Current State: 75:[41, 95, 51, 78], Operations: [] Exploring Operation: 95-41=54, Resulting Numbers: [51, 78, 54] Generated Node #2: [51, 78, 54] from Operation: 95-41=54 Current State: 75:[51, 78, 54], Operations: ['95-41=54'] Exploring Operation: 51+78=129, Resulting Numbers: [54, 129] Generated Node #3: [54, 129] from Operation: 51+78=129 Current State: 75:[54, 129], Operations: ['95-41=54', '51+78=129'] Exploring Operation: 129-54=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 99, 84, 27, 14 ]
28
[ "99-84=15", "27-14=13", "15+13=28" ]
Current State: 28:[99, 84, 27, 14], Operations: [] Exploring Operation: 99-84=15, Resulting Numbers: [27, 14, 15] Generated Node #2: [27, 14, 15] from Operation: 99-84=15 Current State: 28:[27, 14, 15], Operations: ['99-84=15'] Exploring Operation: 27-14=13, Resulting Numbers: [15, 13] Generated Node #3: [15, 13] from Operation: 27-14=13 Current State: 28:[15, 13], Operations: ['99-84=15', '27-14=13'] Exploring Operation: 15+13=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 62, 60, 35, 60 ]
96
[ "62+35=97", "60/60=1", "97-1=96" ]
Current State: 96:[62, 60, 35, 60], Operations: [] Exploring Operation: 62+35=97, Resulting Numbers: [60, 60, 97] Generated Node #2: [60, 60, 97] from Operation: 62+35=97 Current State: 96:[60, 60, 97], Operations: ['62+35=97'] Exploring Operation: 60/60=1, Resulting Numbers: [97, 1] Generated Node #3: [97, 1] from Operation: 60/60=1 Current State: 96:[97, 1], Operations: ['62+35=97', '60/60=1'] Exploring Operation: 97-1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 9, 39, 61, 69 ]
39
[ "9+61=70", "70-69=1", "39*1=39" ]
Current State: 39:[9, 39, 61, 69], Operations: [] Exploring Operation: 9+61=70, Resulting Numbers: [39, 69, 70] Generated Node #2: [39, 69, 70] from Operation: 9+61=70 Current State: 39:[39, 69, 70], Operations: ['9+61=70'] Exploring Operation: 70-69=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 70-69=1 Current State: 39:[39, 1], Operations: ['9+61=70', '70-69=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 89, 95, 40, 10 ]
56
[ "95-89=6", "40+10=50", "6+50=56" ]
Current State: 56:[89, 95, 40, 10], Operations: [] Exploring Operation: 95-89=6, Resulting Numbers: [40, 10, 6] Generated Node #2: [40, 10, 6] from Operation: 95-89=6 Current State: 56:[40, 10, 6], Operations: ['95-89=6'] Exploring Operation: 40+10=50, Resulting Numbers: [6, 50] Generated Node #3: [6, 50] from Operation: 40+10=50 Current State: 56:[6, 50], Operations: ['95-89=6', '40+10=50'] Exploring Operation: 6+50=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 80, 1, 25, 93 ]
11
[ "80-1=79", "93-25=68", "79-68=11" ]
Current State: 11:[80, 1, 25, 93], Operations: [] Exploring Operation: 80-1=79, Resulting Numbers: [25, 93, 79] Generated Node #2: [25, 93, 79] from Operation: 80-1=79 Current State: 11:[25, 93, 79], Operations: ['80-1=79'] Exploring Operation: 93-25=68, Resulting Numbers: [79, 68] Generated Node #3: [79, 68] from Operation: 93-25=68 Current State: 11:[79, 68], Operations: ['80-1=79', '93-25=68'] Exploring Operation: 79-68=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 77, 16, 93, 96 ]
31
[ "77+16=93", "96-93=3", "93/3=31" ]
Current State: 31:[77, 16, 93, 96], Operations: [] Exploring Operation: 77+16=93, Resulting Numbers: [93, 96, 93] Generated Node #2: [93, 96, 93] from Operation: 77+16=93 Current State: 31:[93, 96, 93], Operations: ['77+16=93'] Exploring Operation: 96-93=3, Resulting Numbers: [3] 3,31 equal: Goal Reached Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 51, 61, 89, 15 ]
41
[ "61+89=150", "150/15=10", "51-10=41" ]
Current State: 41:[51, 61, 89, 15], Operations: [] Exploring Operation: 61+89=150, Resulting Numbers: [51, 15, 150] Generated Node #2: [51, 15, 150] from Operation: 61+89=150 Current State: 41:[51, 15, 150], Operations: ['61+89=150'] Exploring Operation: 150/15=10, Resulting Numbers: [51, 10] Generated Node #3: [51, 10] from Operation: 150/15=10 Current State: 41:[51, 10], Operations: ['61+89=150', '150/15=10'] Exploring Operation: 51-10=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 7, 27, 14, 69 ]
75
[ "27-7=20", "69-14=55", "20+55=75" ]
Current State: 75:[7, 27, 14, 69], Operations: [] Exploring Operation: 27-7=20, Resulting Numbers: [14, 69, 20] Generated Node #2: [14, 69, 20] from Operation: 27-7=20 Current State: 75:[14, 69, 20], Operations: ['27-7=20'] Exploring Operation: 69-14=55, Resulting Numbers: [20, 55] Generated Node #3: [20, 55] from Operation: 69-14=55 Current State: 75:[20, 55], Operations: ['27-7=20', '69-14=55'] Exploring Operation: 20+55=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 72, 72, 20, 95 ]
74
[ "72/72=1", "95-20=75", "75-1=74" ]
Current State: 74:[72, 72, 20, 95], Operations: [] Exploring Operation: 72/72=1, Resulting Numbers: [20, 95, 1] Generated Node #2: [20, 95, 1] from Operation: 72/72=1 Current State: 74:[20, 95, 1], Operations: ['72/72=1'] Exploring Operation: 95-20=75, Resulting Numbers: [1, 75] Generated Node #3: [1, 75] from Operation: 95-20=75 Current State: 74:[1, 75], Operations: ['72/72=1', '95-20=75'] Exploring Operation: 75-1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 94, 20, 4, 72 ]
46
[ "94+20=114", "72-4=68", "114-68=46" ]
Current State: 46:[94, 20, 4, 72], Operations: [] Exploring Operation: 94+20=114, Resulting Numbers: [4, 72, 114] Generated Node #2: [4, 72, 114] from Operation: 94+20=114 Current State: 46:[4, 72, 114], Operations: ['94+20=114'] Exploring Operation: 72-4=68, Resulting Numbers: [114, 68] Generated Node #3: [114, 68] from Operation: 72-4=68 Current State: 46:[114, 68], Operations: ['94+20=114', '72-4=68'] Exploring Operation: 114-68=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 16, 79, 46, 56 ]
32
[ "16*46=736", "79-56=23", "736/23=32" ]
Current State: 32:[16, 79, 46, 56], Operations: [] Exploring Operation: 16*46=736, Resulting Numbers: [79, 56, 736] Generated Node #2: [79, 56, 736] from Operation: 16*46=736 Current State: 32:[79, 56, 736], Operations: ['16*46=736'] Exploring Operation: 79-56=23, Resulting Numbers: [736, 23] Generated Node #3: [736, 23] from Operation: 79-56=23 Current State: 32:[736, 23], Operations: ['16*46=736', '79-56=23'] Exploring Operation: 736/23=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 7, 73, 24, 22 ]
27
[ "73-7=66", "66/22=3", "24+3=27" ]
Current State: 27:[7, 73, 24, 22], Operations: [] Exploring Operation: 73-7=66, Resulting Numbers: [24, 22, 66] Generated Node #2: [24, 22, 66] from Operation: 73-7=66 Current State: 27:[24, 22, 66], Operations: ['73-7=66'] Exploring Operation: 66/22=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 66/22=3 Current State: 27:[24, 3], Operations: ['73-7=66', '66/22=3'] Exploring Operation: 24+3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 36, 90, 27, 18 ]
65
[ "36/18=2", "90-27=63", "2+63=65" ]
Current State: 65:[36, 90, 27, 18], Operations: [] Exploring Operation: 36/18=2, Resulting Numbers: [90, 27, 2] Generated Node #2: [90, 27, 2] from Operation: 36/18=2 Current State: 65:[90, 27, 2], Operations: ['36/18=2'] Exploring Operation: 90-27=63, Resulting Numbers: [2, 63] Generated Node #3: [2, 63] from Operation: 90-27=63 Current State: 65:[2, 63], Operations: ['36/18=2', '90-27=63'] Exploring Operation: 2+63=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 43, 28, 5, 6 ]
86
[ "5*6=30", "30-28=2", "43*2=86" ]
Current State: 86:[43, 28, 5, 6], Operations: [] Exploring Operation: 5*6=30, Resulting Numbers: [43, 28, 30] Generated Node #2: [43, 28, 30] from Operation: 5*6=30 Current State: 86:[43, 28, 30], Operations: ['5*6=30'] Exploring Operation: 30-28=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 30-28=2 Current State: 86:[43, 2], Operations: ['5*6=30', '30-28=2'] Exploring Operation: 43*2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 28, 18, 3, 91 ]
47
[ "28+18=46", "3*46=138", "138-91=47" ]
Current State: 47:[28, 18, 3, 91], Operations: [] Exploring Operation: 28+18=46, Resulting Numbers: [3, 91, 46] Generated Node #2: [3, 91, 46] from Operation: 28+18=46 Current State: 47:[3, 91, 46], Operations: ['28+18=46'] Exploring Operation: 3*46=138, Resulting Numbers: [91, 138] Generated Node #3: [91, 138] from Operation: 3*46=138 Current State: 47:[91, 138], Operations: ['28+18=46', '3*46=138'] Exploring Operation: 138-91=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 31, 56, 97, 23 ]
33
[ "31+56=87", "97+23=120", "120-87=33" ]
Current State: 33:[31, 56, 97, 23], Operations: [] Exploring Operation: 31+56=87, Resulting Numbers: [97, 23, 87] Generated Node #2: [97, 23, 87] from Operation: 31+56=87 Current State: 33:[97, 23, 87], Operations: ['31+56=87'] Exploring Operation: 97+23=120, Resulting Numbers: [87, 120] Generated Node #3: [87, 120] from Operation: 97+23=120 Current State: 33:[87, 120], Operations: ['31+56=87', '97+23=120'] Exploring Operation: 120-87=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 93, 14, 51, 38 ]
89
[ "51-38=13", "14*13=182", "182-93=89" ]
Current State: 89:[93, 14, 51, 38], Operations: [] Exploring Operation: 51-38=13, Resulting Numbers: [93, 14, 13] Generated Node #2: [93, 14, 13] from Operation: 51-38=13 Current State: 89:[93, 14, 13], Operations: ['51-38=13'] Exploring Operation: 14*13=182, Resulting Numbers: [93, 182] Generated Node #3: [93, 182] from Operation: 14*13=182 Current State: 89:[93, 182], Operations: ['51-38=13', '14*13=182'] Exploring Operation: 182-93=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 34, 75, 88, 95 ]
48
[ "75-34=41", "95-88=7", "41+7=48" ]
Current State: 48:[34, 75, 88, 95], Operations: [] Exploring Operation: 75-34=41, Resulting Numbers: [88, 95, 41] Generated Node #2: [88, 95, 41] from Operation: 75-34=41 Current State: 48:[88, 95, 41], Operations: ['75-34=41'] Exploring Operation: 95-88=7, Resulting Numbers: [41, 7] Generated Node #3: [41, 7] from Operation: 95-88=7 Current State: 48:[41, 7], Operations: ['75-34=41', '95-88=7'] Exploring Operation: 41+7=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 28, 37, 14, 95 ]
72
[ "37-28=9", "95-14=81", "81-9=72" ]
Current State: 72:[28, 37, 14, 95], Operations: [] Exploring Operation: 37-28=9, Resulting Numbers: [14, 95, 9] Generated Node #2: [14, 95, 9] from Operation: 37-28=9 Current State: 72:[14, 95, 9], Operations: ['37-28=9'] Exploring Operation: 95-14=81, Resulting Numbers: [9, 81] Generated Node #3: [9, 81] from Operation: 95-14=81 Current State: 72:[9, 81], Operations: ['37-28=9', '95-14=81'] Exploring Operation: 81-9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 36, 14, 78, 16 ]
84
[ "36-14=22", "78-16=62", "22+62=84" ]
Current State: 84:[36, 14, 78, 16], Operations: [] Exploring Operation: 36-14=22, Resulting Numbers: [78, 16, 22] Generated Node #2: [78, 16, 22] from Operation: 36-14=22 Current State: 84:[78, 16, 22], Operations: ['36-14=22'] Exploring Operation: 78-16=62, Resulting Numbers: [22, 62] Generated Node #3: [22, 62] from Operation: 78-16=62 Current State: 84:[22, 62], Operations: ['36-14=22', '78-16=62'] Exploring Operation: 22+62=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 45, 12, 29, 10 ]
25
[ "45*12=540", "540/10=54", "54-29=25" ]
Current State: 25:[45, 12, 29, 10], Operations: [] Exploring Operation: 45*12=540, Resulting Numbers: [29, 10, 540] Generated Node #2: [29, 10, 540] from Operation: 45*12=540 Current State: 25:[29, 10, 540], Operations: ['45*12=540'] Exploring Operation: 540/10=54, Resulting Numbers: [29, 54] Generated Node #3: [29, 54] from Operation: 540/10=54 Current State: 25:[29, 54], Operations: ['45*12=540', '540/10=54'] Exploring Operation: 54-29=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 18, 57, 63, 38 ]
41
[ "63-57=6", "18/6=3", "38+3=41" ]
Current State: 41:[18, 57, 63, 38], Operations: [] Exploring Operation: 63-57=6, Resulting Numbers: [18, 38, 6] Generated Node #2: [18, 38, 6] from Operation: 63-57=6 Current State: 41:[18, 38, 6], Operations: ['63-57=6'] Exploring Operation: 18/6=3, Resulting Numbers: [38, 3] Generated Node #3: [38, 3] from Operation: 18/6=3 Current State: 41:[38, 3], Operations: ['63-57=6', '18/6=3'] Exploring Operation: 38+3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 48, 8, 84, 24 ]
90
[ "48/24=2", "8+84=92", "92-2=90" ]
Current State: 90:[48, 8, 84, 24], Operations: [] Exploring Operation: 48/24=2, Resulting Numbers: [8, 84, 2] Generated Node #2: [8, 84, 2] from Operation: 48/24=2 Current State: 90:[8, 84, 2], Operations: ['48/24=2'] Exploring Operation: 8+84=92, Resulting Numbers: [2, 92] Generated Node #3: [2, 92] from Operation: 8+84=92 Current State: 90:[2, 92], Operations: ['48/24=2', '8+84=92'] Exploring Operation: 92-2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 69, 36, 72, 10 ]
77
[ "69+10=79", "72/36=2", "79-2=77" ]
Current State: 77:[69, 36, 72, 10], Operations: [] Exploring Operation: 69+10=79, Resulting Numbers: [36, 72, 79] Generated Node #2: [36, 72, 79] from Operation: 69+10=79 Current State: 77:[36, 72, 79], Operations: ['69+10=79'] Exploring Operation: 72/36=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 72/36=2 Current State: 77:[79, 2], Operations: ['69+10=79', '72/36=2'] Exploring Operation: 79-2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 72, 41, 92, 88 ]
23
[ "92-88=4", "72/4=18", "41-18=23" ]
Current State: 23:[72, 41, 92, 88], Operations: [] Exploring Operation: 92-88=4, Resulting Numbers: [72, 41, 4] Generated Node #2: [72, 41, 4] from Operation: 92-88=4 Current State: 23:[72, 41, 4], Operations: ['92-88=4'] Exploring Operation: 72/4=18, Resulting Numbers: [41, 18] Generated Node #3: [41, 18] from Operation: 72/4=18 Current State: 23:[41, 18], Operations: ['92-88=4', '72/4=18'] Exploring Operation: 41-18=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 10, 28, 44, 13 ]
13
[ "28-10=18", "44-13=31", "31-18=13" ]
Current State: 13:[10, 28, 44, 13], Operations: [] Exploring Operation: 28-10=18, Resulting Numbers: [44, 13, 18] Generated Node #2: [44, 13, 18] from Operation: 28-10=18 Current State: 13:[44, 13, 18], Operations: ['28-10=18'] Exploring Operation: 44-13=31, Resulting Numbers: [18, 31] Generated Node #3: [18, 31] from Operation: 44-13=31 Current State: 13:[18, 31], Operations: ['28-10=18', '44-13=31'] Exploring Operation: 31-18=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 91, 25, 73, 98 ]
91
[ "91+25=116", "98-73=25", "116-25=91" ]
Current State: 91:[91, 25, 73, 98], Operations: [] Exploring Operation: 91+25=116, Resulting Numbers: [73, 98, 116] Generated Node #2: [73, 98, 116] from Operation: 91+25=116 Current State: 91:[73, 98, 116], Operations: ['91+25=116'] Exploring Operation: 98-73=25, Resulting Numbers: [116, 25] Generated Node #3: [116, 25] from Operation: 98-73=25 Current State: 91:[116, 25], Operations: ['91+25=116', '98-73=25'] Exploring Operation: 116-25=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 63, 57, 96, 64 ]
99
[ "63*64=4032", "4032/96=42", "57+42=99" ]
Current State: 99:[63, 57, 96, 64], Operations: [] Exploring Operation: 63*64=4032, Resulting Numbers: [57, 96, 4032] Generated Node #2: [57, 96, 4032] from Operation: 63*64=4032 Current State: 99:[57, 96, 4032], Operations: ['63*64=4032'] Exploring Operation: 4032/96=42, Resulting Numbers: [57, 42] Generated Node #3: [57, 42] from Operation: 4032/96=42 Current State: 99:[57, 42], Operations: ['63*64=4032', '4032/96=42'] Exploring Operation: 57+42=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 3, 84, 79, 44 ]
46
[ "84-3=81", "79-44=35", "81-35=46" ]
Current State: 46:[3, 84, 79, 44], Operations: [] Exploring Operation: 84-3=81, Resulting Numbers: [79, 44, 81] Generated Node #2: [79, 44, 81] from Operation: 84-3=81 Current State: 46:[79, 44, 81], Operations: ['84-3=81'] Exploring Operation: 79-44=35, Resulting Numbers: [81, 35] Generated Node #3: [81, 35] from Operation: 79-44=35 Current State: 46:[81, 35], Operations: ['84-3=81', '79-44=35'] Exploring Operation: 81-35=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 20, 19, 11, 62 ]
93
[ "19+11=30", "62*30=1860", "1860/20=93" ]
Current State: 93:[20, 19, 11, 62], Operations: [] Exploring Operation: 19+11=30, Resulting Numbers: [20, 62, 30] Generated Node #2: [20, 62, 30] from Operation: 19+11=30 Current State: 93:[20, 62, 30], Operations: ['19+11=30'] Exploring Operation: 62*30=1860, Resulting Numbers: [20, 1860] Generated Node #3: [20, 1860] from Operation: 62*30=1860 Current State: 93:[20, 1860], Operations: ['19+11=30', '62*30=1860'] Exploring Operation: 1860/20=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 78, 27, 10, 75 ]
71
[ "78-75=3", "27*3=81", "81-10=71" ]
Current State: 71:[78, 27, 10, 75], Operations: [] Exploring Operation: 78-75=3, Resulting Numbers: [27, 10, 3] Generated Node #2: [27, 10, 3] from Operation: 78-75=3 Current State: 71:[27, 10, 3], Operations: ['78-75=3'] Exploring Operation: 27*3=81, Resulting Numbers: [10, 81] Generated Node #3: [10, 81] from Operation: 27*3=81 Current State: 71:[10, 81], Operations: ['78-75=3', '27*3=81'] Exploring Operation: 81-10=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 78, 57, 4, 60 ]
22
[ "60-57=3", "78/3=26", "26-4=22" ]
Current State: 22:[78, 57, 4, 60], Operations: [] Exploring Operation: 60-57=3, Resulting Numbers: [78, 4, 3] Generated Node #2: [78, 4, 3] from Operation: 60-57=3 Current State: 22:[78, 4, 3], Operations: ['60-57=3'] Exploring Operation: 78/3=26, Resulting Numbers: [4, 26] Generated Node #3: [4, 26] from Operation: 78/3=26 Current State: 22:[4, 26], Operations: ['60-57=3', '78/3=26'] Exploring Operation: 26-4=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 7, 44, 9, 48 ]
68
[ "9-7=2", "48/2=24", "44+24=68" ]
Current State: 68:[7, 44, 9, 48], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [44, 48, 2] Generated Node #2: [44, 48, 2] from Operation: 9-7=2 Current State: 68:[44, 48, 2], Operations: ['9-7=2'] Exploring Operation: 48/2=24, Resulting Numbers: [44, 24] Generated Node #3: [44, 24] from Operation: 48/2=24 Current State: 68:[44, 24], Operations: ['9-7=2', '48/2=24'] Exploring Operation: 44+24=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 20, 2, 79, 3 ]
100
[ "20-2=18", "79+3=82", "18+82=100" ]
Current State: 100:[20, 2, 79, 3], Operations: [] Exploring Operation: 20-2=18, Resulting Numbers: [79, 3, 18] Generated Node #2: [79, 3, 18] from Operation: 20-2=18 Current State: 100:[79, 3, 18], Operations: ['20-2=18'] Exploring Operation: 79+3=82, Resulting Numbers: [18, 82] Generated Node #3: [18, 82] from Operation: 79+3=82 Current State: 100:[18, 82], Operations: ['20-2=18', '79+3=82'] Exploring Operation: 18+82=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 9, 49, 72, 78 ]
52
[ "9+49=58", "78-72=6", "58-6=52" ]
Current State: 52:[9, 49, 72, 78], Operations: [] Exploring Operation: 9+49=58, Resulting Numbers: [72, 78, 58] Generated Node #2: [72, 78, 58] from Operation: 9+49=58 Current State: 52:[72, 78, 58], Operations: ['9+49=58'] Exploring Operation: 78-72=6, Resulting Numbers: [58, 6] Generated Node #3: [58, 6] from Operation: 78-72=6 Current State: 52:[58, 6], Operations: ['9+49=58', '78-72=6'] Exploring Operation: 58-6=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 36, 40, 30, 35 ]
10
[ "36-35=1", "40-30=10", "1*10=10" ]
Current State: 10:[36, 40, 30, 35], Operations: [] Exploring Operation: 36-35=1, Resulting Numbers: [40, 30, 1] Generated Node #2: [40, 30, 1] from Operation: 36-35=1 Current State: 10:[40, 30, 1], Operations: ['36-35=1'] Exploring Operation: 40-30=10, Resulting Numbers: [1, 10] Generated Node #3: [1, 10] from Operation: 40-30=10 Current State: 10:[1, 10], Operations: ['36-35=1', '40-30=10'] Exploring Operation: 1*10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 81, 42, 45, 5 ]
33
[ "81*5=405", "405/45=9", "42-9=33" ]
Current State: 33:[81, 42, 45, 5], Operations: [] Exploring Operation: 81*5=405, Resulting Numbers: [42, 45, 405] Generated Node #2: [42, 45, 405] from Operation: 81*5=405 Current State: 33:[42, 45, 405], Operations: ['81*5=405'] Exploring Operation: 405/45=9, Resulting Numbers: [42, 9] Generated Node #3: [42, 9] from Operation: 405/45=9 Current State: 33:[42, 9], Operations: ['81*5=405', '405/45=9'] Exploring Operation: 42-9=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 59, 22, 74, 33 ]
40
[ "59+22=81", "74-33=41", "81-41=40" ]
Current State: 40:[59, 22, 74, 33], Operations: [] Exploring Operation: 59+22=81, Resulting Numbers: [74, 33, 81] Generated Node #2: [74, 33, 81] from Operation: 59+22=81 Current State: 40:[74, 33, 81], Operations: ['59+22=81'] Exploring Operation: 74-33=41, Resulting Numbers: [81, 41] Generated Node #3: [81, 41] from Operation: 74-33=41 Current State: 40:[81, 41], Operations: ['59+22=81', '74-33=41'] Exploring Operation: 81-41=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 53, 1, 71, 90 ]
73
[ "53+1=54", "90-71=19", "54+19=73" ]
Current State: 73:[53, 1, 71, 90], Operations: [] Exploring Operation: 53+1=54, Resulting Numbers: [71, 90, 54] Generated Node #2: [71, 90, 54] from Operation: 53+1=54 Current State: 73:[71, 90, 54], Operations: ['53+1=54'] Exploring Operation: 90-71=19, Resulting Numbers: [54, 19] Generated Node #3: [54, 19] from Operation: 90-71=19 Current State: 73:[54, 19], Operations: ['53+1=54', '90-71=19'] Exploring Operation: 54+19=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 31, 50, 65, 4 ]
42
[ "50-31=19", "65-4=61", "61-19=42" ]
Current State: 42:[31, 50, 65, 4], Operations: [] Exploring Operation: 50-31=19, Resulting Numbers: [65, 4, 19] Generated Node #2: [65, 4, 19] from Operation: 50-31=19 Current State: 42:[65, 4, 19], Operations: ['50-31=19'] Exploring Operation: 65-4=61, Resulting Numbers: [19, 61] Generated Node #3: [19, 61] from Operation: 65-4=61 Current State: 42:[19, 61], Operations: ['50-31=19', '65-4=61'] Exploring Operation: 61-19=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 33, 37, 28, 76 ]
52
[ "37-33=4", "76-28=48", "4+48=52" ]
Current State: 52:[33, 37, 28, 76], Operations: [] Exploring Operation: 37-33=4, Resulting Numbers: [28, 76, 4] Generated Node #2: [28, 76, 4] from Operation: 37-33=4 Current State: 52:[28, 76, 4], Operations: ['37-33=4'] Exploring Operation: 76-28=48, Resulting Numbers: [4, 48] Generated Node #3: [4, 48] from Operation: 76-28=48 Current State: 52:[4, 48], Operations: ['37-33=4', '76-28=48'] Exploring Operation: 4+48=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 88, 89, 31, 91 ]
40
[ "91-88=3", "89+31=120", "120/3=40" ]
Current State: 40:[88, 89, 31, 91], Operations: [] Exploring Operation: 91-88=3, Resulting Numbers: [89, 31, 3] Generated Node #2: [89, 31, 3] from Operation: 91-88=3 Current State: 40:[89, 31, 3], Operations: ['91-88=3'] Exploring Operation: 89+31=120, Resulting Numbers: [3, 120] Generated Node #3: [3, 120] from Operation: 89+31=120 Current State: 40:[3, 120], Operations: ['91-88=3', '89+31=120'] Exploring Operation: 120/3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 53, 66, 80, 61 ]
76
[ "61-53=8", "80/8=10", "66+10=76" ]
Current State: 76:[53, 66, 80, 61], Operations: [] Exploring Operation: 61-53=8, Resulting Numbers: [66, 80, 8] Generated Node #2: [66, 80, 8] from Operation: 61-53=8 Current State: 76:[66, 80, 8], Operations: ['61-53=8'] Exploring Operation: 80/8=10, Resulting Numbers: [66, 10] Generated Node #3: [66, 10] from Operation: 80/8=10 Current State: 76:[66, 10], Operations: ['61-53=8', '80/8=10'] Exploring Operation: 66+10=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 12, 13, 83, 41 ]
67
[ "12+13=25", "83-41=42", "25+42=67" ]
Current State: 67:[12, 13, 83, 41], Operations: [] Exploring Operation: 12+13=25, Resulting Numbers: [83, 41, 25] Generated Node #2: [83, 41, 25] from Operation: 12+13=25 Current State: 67:[83, 41, 25], Operations: ['12+13=25'] Exploring Operation: 83-41=42, Resulting Numbers: [25, 42] Generated Node #3: [25, 42] from Operation: 83-41=42 Current State: 67:[25, 42], Operations: ['12+13=25', '83-41=42'] Exploring Operation: 25+42=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 25, 5, 61, 17 ]
64
[ "25-5=20", "61-17=44", "20+44=64" ]
Current State: 64:[25, 5, 61, 17], Operations: [] Exploring Operation: 25-5=20, Resulting Numbers: [61, 17, 20] Generated Node #2: [61, 17, 20] from Operation: 25-5=20 Current State: 64:[61, 17, 20], Operations: ['25-5=20'] Exploring Operation: 61-17=44, Resulting Numbers: [20, 44] Generated Node #3: [20, 44] from Operation: 61-17=44 Current State: 64:[20, 44], Operations: ['25-5=20', '61-17=44'] Exploring Operation: 20+44=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 42, 17, 46, 14 ]
91
[ "42+17=59", "46-14=32", "59+32=91" ]
Current State: 91:[42, 17, 46, 14], Operations: [] Exploring Operation: 42+17=59, Resulting Numbers: [46, 14, 59] Generated Node #2: [46, 14, 59] from Operation: 42+17=59 Current State: 91:[46, 14, 59], Operations: ['42+17=59'] Exploring Operation: 46-14=32, Resulting Numbers: [59, 32] Generated Node #3: [59, 32] from Operation: 46-14=32 Current State: 91:[59, 32], Operations: ['42+17=59', '46-14=32'] Exploring Operation: 59+32=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 94, 86, 46, 5 ]
33
[ "94-86=8", "46-5=41", "41-8=33" ]
Current State: 33:[94, 86, 46, 5], Operations: [] Exploring Operation: 94-86=8, Resulting Numbers: [46, 5, 8] Generated Node #2: [46, 5, 8] from Operation: 94-86=8 Current State: 33:[46, 5, 8], Operations: ['94-86=8'] Exploring Operation: 46-5=41, Resulting Numbers: [8, 41] Generated Node #3: [8, 41] from Operation: 46-5=41 Current State: 33:[8, 41], Operations: ['94-86=8', '46-5=41'] Exploring Operation: 41-8=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 82, 62, 3, 26 ]
94
[ "62-26=36", "36/3=12", "82+12=94" ]
Current State: 94:[82, 62, 3, 26], Operations: [] Exploring Operation: 62-26=36, Resulting Numbers: [82, 3, 36] Generated Node #2: [82, 3, 36] from Operation: 62-26=36 Current State: 94:[82, 3, 36], Operations: ['62-26=36'] Exploring Operation: 36/3=12, Resulting Numbers: [82, 12] Generated Node #3: [82, 12] from Operation: 36/3=12 Current State: 94:[82, 12], Operations: ['62-26=36', '36/3=12'] Exploring Operation: 82+12=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 76, 5, 16, 36 ]
19
[ "76*5=380", "36-16=20", "380/20=19" ]
Current State: 19:[76, 5, 16, 36], Operations: [] Exploring Operation: 76*5=380, Resulting Numbers: [16, 36, 380] Generated Node #2: [16, 36, 380] from Operation: 76*5=380 Current State: 19:[16, 36, 380], Operations: ['76*5=380'] Exploring Operation: 36-16=20, Resulting Numbers: [380, 20] Generated Node #3: [380, 20] from Operation: 36-16=20 Current State: 19:[380, 20], Operations: ['76*5=380', '36-16=20'] Exploring Operation: 380/20=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 11, 14, 19, 78 ]
26
[ "11*78=858", "14+19=33", "858/33=26" ]
Current State: 26:[11, 14, 19, 78], Operations: [] Exploring Operation: 11*78=858, Resulting Numbers: [14, 19, 858] Generated Node #2: [14, 19, 858] from Operation: 11*78=858 Current State: 26:[14, 19, 858], Operations: ['11*78=858'] Exploring Operation: 14+19=33, Resulting Numbers: [858, 33] Generated Node #3: [858, 33] from Operation: 14+19=33 Current State: 26:[858, 33], Operations: ['11*78=858', '14+19=33'] Exploring Operation: 858/33=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 39, 87, 71, 37 ]
18
[ "39+87=126", "71+37=108", "126-108=18" ]
Current State: 18:[39, 87, 71, 37], Operations: [] Exploring Operation: 39+87=126, Resulting Numbers: [71, 37, 126] Generated Node #2: [71, 37, 126] from Operation: 39+87=126 Current State: 18:[71, 37, 126], Operations: ['39+87=126'] Exploring Operation: 71+37=108, Resulting Numbers: [126, 108] Generated Node #3: [126, 108] from Operation: 71+37=108 Current State: 18:[126, 108], Operations: ['39+87=126', '71+37=108'] Exploring Operation: 126-108=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 4, 80, 92, 25 ]
87
[ "80/4=20", "92-25=67", "20+67=87" ]
Current State: 87:[4, 80, 92, 25], Operations: [] Exploring Operation: 80/4=20, Resulting Numbers: [92, 25, 20] Generated Node #2: [92, 25, 20] from Operation: 80/4=20 Current State: 87:[92, 25, 20], Operations: ['80/4=20'] Exploring Operation: 92-25=67, Resulting Numbers: [20, 67] Generated Node #3: [20, 67] from Operation: 92-25=67 Current State: 87:[20, 67], Operations: ['80/4=20', '92-25=67'] Exploring Operation: 20+67=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 82, 12, 41, 68 ]
39
[ "82-12=70", "41+68=109", "109-70=39" ]
Current State: 39:[82, 12, 41, 68], Operations: [] Exploring Operation: 82-12=70, Resulting Numbers: [41, 68, 70] Generated Node #2: [41, 68, 70] from Operation: 82-12=70 Current State: 39:[41, 68, 70], Operations: ['82-12=70'] Exploring Operation: 41+68=109, Resulting Numbers: [70, 109] Generated Node #3: [70, 109] from Operation: 41+68=109 Current State: 39:[70, 109], Operations: ['82-12=70', '41+68=109'] Exploring Operation: 109-70=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 92, 43, 75, 69 ]
57
[ "92*75=6900", "6900/69=100", "100-43=57" ]
Current State: 57:[92, 43, 75, 69], Operations: [] Exploring Operation: 92*75=6900, Resulting Numbers: [43, 69, 6900] Generated Node #2: [43, 69, 6900] from Operation: 92*75=6900 Current State: 57:[43, 69, 6900], Operations: ['92*75=6900'] Exploring Operation: 6900/69=100, Resulting Numbers: [43, 100] Generated Node #3: [43, 100] from Operation: 6900/69=100 Current State: 57:[43, 100], Operations: ['92*75=6900', '6900/69=100'] Exploring Operation: 100-43=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 57, 11, 59, 72 ]
81
[ "57+11=68", "72-59=13", "68+13=81" ]
Current State: 81:[57, 11, 59, 72], Operations: [] Exploring Operation: 57+11=68, Resulting Numbers: [59, 72, 68] Generated Node #2: [59, 72, 68] from Operation: 57+11=68 Current State: 81:[59, 72, 68], Operations: ['57+11=68'] Exploring Operation: 72-59=13, Resulting Numbers: [68, 13] Generated Node #3: [68, 13] from Operation: 72-59=13 Current State: 81:[68, 13], Operations: ['57+11=68', '72-59=13'] Exploring Operation: 68+13=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 98, 2, 10, 86 ]
90
[ "98-10=88", "2*88=176", "176-86=90" ]
Current State: 90:[98, 2, 10, 86], Operations: [] Exploring Operation: 98-10=88, Resulting Numbers: [2, 86, 88] Generated Node #2: [2, 86, 88] from Operation: 98-10=88 Current State: 90:[2, 86, 88], Operations: ['98-10=88'] Exploring Operation: 2*88=176, Resulting Numbers: [86, 176] Generated Node #3: [86, 176] from Operation: 2*88=176 Current State: 90:[86, 176], Operations: ['98-10=88', '2*88=176'] Exploring Operation: 176-86=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 23, 58, 31, 70 ]
55
[ "23+70=93", "93/31=3", "58-3=55" ]
Current State: 55:[23, 58, 31, 70], Operations: [] Exploring Operation: 23+70=93, Resulting Numbers: [58, 31, 93] Generated Node #2: [58, 31, 93] from Operation: 23+70=93 Current State: 55:[58, 31, 93], Operations: ['23+70=93'] Exploring Operation: 93/31=3, Resulting Numbers: [58, 3] Generated Node #3: [58, 3] from Operation: 93/31=3 Current State: 55:[58, 3], Operations: ['23+70=93', '93/31=3'] Exploring Operation: 58-3=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 14, 18, 39, 8 ]
15
[ "14+18=32", "39+8=47", "47-32=15" ]
Current State: 15:[14, 18, 39, 8], Operations: [] Exploring Operation: 14+18=32, Resulting Numbers: [39, 8, 32] Generated Node #2: [39, 8, 32] from Operation: 14+18=32 Current State: 15:[39, 8, 32], Operations: ['14+18=32'] Exploring Operation: 39+8=47, Resulting Numbers: [32, 47] Generated Node #3: [32, 47] from Operation: 39+8=47 Current State: 15:[32, 47], Operations: ['14+18=32', '39+8=47'] Exploring Operation: 47-32=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 49, 49, 46, 36 ]
10
[ "49-49=0", "46-36=10", "0+10=10" ]
Current State: 10:[49, 49, 46, 36], Operations: [] Exploring Operation: 49-49=0, Resulting Numbers: [46, 36, 0] Generated Node #2: [46, 36, 0] from Operation: 49-49=0 Current State: 10:[46, 36, 0], Operations: ['49-49=0'] Exploring Operation: 46-36=10, Resulting Numbers: [0, 10] Generated Node #3: [0, 10] from Operation: 46-36=10 Current State: 10:[0, 10], Operations: ['49-49=0', '46-36=10'] Exploring Operation: 0+10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 76, 15, 52, 92 ]
21
[ "76-15=61", "92-52=40", "61-40=21" ]
Current State: 21:[76, 15, 52, 92], Operations: [] Exploring Operation: 76-15=61, Resulting Numbers: [52, 92, 61] Generated Node #2: [52, 92, 61] from Operation: 76-15=61 Current State: 21:[52, 92, 61], Operations: ['76-15=61'] Exploring Operation: 92-52=40, Resulting Numbers: [61, 40] Generated Node #3: [61, 40] from Operation: 92-52=40 Current State: 21:[61, 40], Operations: ['76-15=61', '92-52=40'] Exploring Operation: 61-40=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 12, 11, 35, 6 ]
41
[ "12-11=1", "35+6=41", "1*41=41" ]
Current State: 41:[12, 11, 35, 6], Operations: [] Exploring Operation: 12-11=1, Resulting Numbers: [35, 6, 1] Generated Node #2: [35, 6, 1] from Operation: 12-11=1 Current State: 41:[35, 6, 1], Operations: ['12-11=1'] Exploring Operation: 35+6=41, Resulting Numbers: [1, 41] Generated Node #3: [1, 41] from Operation: 35+6=41 Current State: 41:[1, 41], Operations: ['12-11=1', '35+6=41'] Exploring Operation: 1*41=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 35, 27, 42, 91 ]
98
[ "42-35=7", "27*7=189", "189-91=98" ]
Current State: 98:[35, 27, 42, 91], Operations: [] Exploring Operation: 42-35=7, Resulting Numbers: [27, 91, 7] Generated Node #2: [27, 91, 7] from Operation: 42-35=7 Current State: 98:[27, 91, 7], Operations: ['42-35=7'] Exploring Operation: 27*7=189, Resulting Numbers: [91, 189] Generated Node #3: [91, 189] from Operation: 27*7=189 Current State: 98:[91, 189], Operations: ['42-35=7', '27*7=189'] Exploring Operation: 189-91=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 61, 5, 57, 68 ]
69
[ "61-5=56", "57+68=125", "125-56=69" ]
Current State: 69:[61, 5, 57, 68], Operations: [] Exploring Operation: 61-5=56, Resulting Numbers: [57, 68, 56] Generated Node #2: [57, 68, 56] from Operation: 61-5=56 Current State: 69:[57, 68, 56], Operations: ['61-5=56'] Exploring Operation: 57+68=125, Resulting Numbers: [56, 125] Generated Node #3: [56, 125] from Operation: 57+68=125 Current State: 69:[56, 125], Operations: ['61-5=56', '57+68=125'] Exploring Operation: 125-56=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4