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
[ 19, 59, 6, 75 ]
62
[ "19+59=78", "78/6=13", "75-13=62" ]
Current State: 62:[19, 59, 6, 75], Operations: [] Exploring Operation: 19+59=78, Resulting Numbers: [6, 75, 78] Generated Node #2: [6, 75, 78] from Operation: 19+59=78 Current State: 62:[6, 75, 78], Operations: ['19+59=78'] Exploring Operation: 78/6=13, Resulting Numbers: [75, 13] Generated Node #3: [75, 13] from Operation: 78/6=13 Current State: 62:[75, 13], Operations: ['19+59=78', '78/6=13'] Exploring Operation: 75-13=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 24, 52, 10, 36 ]
26
[ "24+10=34", "36-34=2", "52/2=26" ]
Current State: 26:[24, 52, 10, 36], Operations: [] Exploring Operation: 24+10=34, Resulting Numbers: [52, 36, 34] Generated Node #2: [52, 36, 34] from Operation: 24+10=34 Current State: 26:[52, 36, 34], Operations: ['24+10=34'] Exploring Operation: 36-34=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 36-34=2 Current State: 26:[52, 2], Operations: ['24+10=34', '36-34=2'] Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 74, 88, 74, 41 ]
47
[ "74+88=162", "74+41=115", "162-115=47" ]
Current State: 47:[74, 88, 74, 41], Operations: [] Exploring Operation: 74+88=162, Resulting Numbers: [41, 162] Generated Node #2: [41, 162] from Operation: 74+88=162 Current State: 47:[41, 162], Operations: ['74+88=162'] Exploring Operation: 74+41=115, Resulting Numbers: [162, 115] Generated Node #3: [162, 115] from Operation: 74+41=115 Current State: 47:[162, 115], Operations: ['74+88=162', '74+41=115'] Exploring Operation: 162-115=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 20, 40, 83, 20 ]
43
[ "20+40=60", "83+20=103", "103-60=43" ]
Current State: 43:[20, 40, 83, 20], Operations: [] Exploring Operation: 20+40=60, Resulting Numbers: [83, 60] Generated Node #2: [83, 60] from Operation: 20+40=60 Current State: 43:[83, 60], Operations: ['20+40=60'] Exploring Operation: 83+20=103, Resulting Numbers: [60, 103] Generated Node #3: [60, 103] from Operation: 83+20=103 Current State: 43:[60, 103], Operations: ['20+40=60', '83+20=103'] Exploring Operation: 103-60=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 26, 3, 2, 90 ]
28
[ "90/3=30", "26+30=56", "56/2=28" ]
Current State: 28:[26, 3, 2, 90], Operations: [] Exploring Operation: 90/3=30, Resulting Numbers: [26, 2, 30] Generated Node #2: [26, 2, 30] from Operation: 90/3=30 Current State: 28:[26, 2, 30], Operations: ['90/3=30'] Exploring Operation: 26+30=56, Resulting Numbers: [2, 56] Generated Node #3: [2, 56] from Operation: 26+30=56 Current State: 28:[2, 56], Operations: ['90/3=30', '26+30=56'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 43, 45, 70, 7 ]
84
[ "45-43=2", "7*2=14", "70+14=84" ]
Current State: 84:[43, 45, 70, 7], Operations: [] Exploring Operation: 45-43=2, Resulting Numbers: [70, 7, 2] Generated Node #2: [70, 7, 2] from Operation: 45-43=2 Current State: 84:[70, 7, 2], Operations: ['45-43=2'] Exploring Operation: 7*2=14, Resulting Numbers: [70, 14] Generated Node #3: [70, 14] from Operation: 7*2=14 Current State: 84:[70, 14], Operations: ['45-43=2', '7*2=14'] Exploring Operation: 70+14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 73, 8, 72, 50 ]
32
[ "73-50=23", "72/8=9", "23+9=32" ]
Current State: 32:[73, 8, 72, 50], Operations: [] Exploring Operation: 73-50=23, Resulting Numbers: [8, 72, 23] Generated Node #2: [8, 72, 23] from Operation: 73-50=23 Current State: 32:[8, 72, 23], Operations: ['73-50=23'] Exploring Operation: 72/8=9, Resulting Numbers: [23, 9] Generated Node #3: [23, 9] from Operation: 72/8=9 Current State: 32:[23, 9], Operations: ['73-50=23', '72/8=9'] Exploring Operation: 23+9=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 28, 58, 92, 78 ]
100
[ "28+58=86", "92-78=14", "86+14=100" ]
Current State: 100:[28, 58, 92, 78], Operations: [] Exploring Operation: 28+58=86, Resulting Numbers: [92, 78, 86] Generated Node #2: [92, 78, 86] from Operation: 28+58=86 Current State: 100:[92, 78, 86], Operations: ['28+58=86'] Exploring Operation: 92-78=14, Resulting Numbers: [86, 14] Generated Node #3: [86, 14] from Operation: 92-78=14 Current State: 100:[86, 14], Operations: ['28+58=86', '92-78=14'] Exploring Operation: 86+14=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 50, 36, 34, 70 ]
15
[ "36-34=2", "70/2=35", "50-35=15" ]
Current State: 15:[50, 36, 34, 70], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [50, 70, 2] Generated Node #2: [50, 70, 2] from Operation: 36-34=2 Current State: 15:[50, 70, 2], Operations: ['36-34=2'] Exploring Operation: 70/2=35, Resulting Numbers: [50, 35] Generated Node #3: [50, 35] from Operation: 70/2=35 Current State: 15:[50, 35], Operations: ['36-34=2', '70/2=35'] Exploring Operation: 50-35=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 39, 4, 76, 99 ]
79
[ "99-39=60", "76/4=19", "60+19=79" ]
Current State: 79:[39, 4, 76, 99], Operations: [] Exploring Operation: 99-39=60, Resulting Numbers: [4, 76, 60] Generated Node #2: [4, 76, 60] from Operation: 99-39=60 Current State: 79:[4, 76, 60], Operations: ['99-39=60'] Exploring Operation: 76/4=19, Resulting Numbers: [60, 19] Generated Node #3: [60, 19] from Operation: 76/4=19 Current State: 79:[60, 19], Operations: ['99-39=60', '76/4=19'] Exploring Operation: 60+19=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 19, 1, 10, 96 ]
87
[ "19*1=19", "10+96=106", "106-19=87" ]
Current State: 87:[19, 1, 10, 96], Operations: [] Exploring Operation: 19*1=19, Resulting Numbers: [10, 96, 19] Generated Node #2: [10, 96, 19] from Operation: 19*1=19 Current State: 87:[10, 96, 19], Operations: ['19*1=19'] Exploring Operation: 10+96=106, Resulting Numbers: [19, 106] Generated Node #3: [19, 106] from Operation: 10+96=106 Current State: 87:[19, 106], Operations: ['19*1=19', '10+96=106'] Exploring Operation: 106-19=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 16, 42, 70, 67 ]
30
[ "70-67=3", "42/3=14", "16+14=30" ]
Current State: 30:[16, 42, 70, 67], Operations: [] Exploring Operation: 70-67=3, Resulting Numbers: [16, 42, 3] Generated Node #2: [16, 42, 3] from Operation: 70-67=3 Current State: 30:[16, 42, 3], Operations: ['70-67=3'] Exploring Operation: 42/3=14, Resulting Numbers: [16, 14] Generated Node #3: [16, 14] from Operation: 42/3=14 Current State: 30:[16, 14], Operations: ['70-67=3', '42/3=14'] Exploring Operation: 16+14=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 4, 21, 64, 58 ]
42
[ "64-4=60", "60-58=2", "21*2=42" ]
Current State: 42:[4, 21, 64, 58], Operations: [] Exploring Operation: 64-4=60, Resulting Numbers: [21, 58, 60] Generated Node #2: [21, 58, 60] from Operation: 64-4=60 Current State: 42:[21, 58, 60], Operations: ['64-4=60'] Exploring Operation: 60-58=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 60-58=2 Current State: 42:[21, 2], Operations: ['64-4=60', '60-58=2'] Exploring Operation: 21*2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 13, 23, 41, 11 ]
66
[ "13+23=36", "41-11=30", "36+30=66" ]
Current State: 66:[13, 23, 41, 11], Operations: [] Exploring Operation: 13+23=36, Resulting Numbers: [41, 11, 36] Generated Node #2: [41, 11, 36] from Operation: 13+23=36 Current State: 66:[41, 11, 36], Operations: ['13+23=36'] Exploring Operation: 41-11=30, Resulting Numbers: [36, 30] Generated Node #3: [36, 30] from Operation: 41-11=30 Current State: 66:[36, 30], Operations: ['13+23=36', '41-11=30'] Exploring Operation: 36+30=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 53, 1, 25, 11 ]
67
[ "53*1=53", "25-11=14", "53+14=67" ]
Current State: 67:[53, 1, 25, 11], Operations: [] Exploring Operation: 53*1=53, Resulting Numbers: [25, 11, 53] Generated Node #2: [25, 11, 53] from Operation: 53*1=53 Current State: 67:[25, 11, 53], Operations: ['53*1=53'] Exploring Operation: 25-11=14, Resulting Numbers: [53, 14] Generated Node #3: [53, 14] from Operation: 25-11=14 Current State: 67:[53, 14], Operations: ['53*1=53', '25-11=14'] Exploring Operation: 53+14=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 2, 59, 8, 77 ]
14
[ "8/2=4", "77-59=18", "18-4=14" ]
Current State: 14:[2, 59, 8, 77], Operations: [] Exploring Operation: 8/2=4, Resulting Numbers: [59, 77, 4] Generated Node #2: [59, 77, 4] from Operation: 8/2=4 Current State: 14:[59, 77, 4], Operations: ['8/2=4'] Exploring Operation: 77-59=18, Resulting Numbers: [4, 18] Generated Node #3: [4, 18] from Operation: 77-59=18 Current State: 14:[4, 18], Operations: ['8/2=4', '77-59=18'] Exploring Operation: 18-4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 15, 97, 81, 53 ]
52
[ "97-15=82", "81+53=134", "134-82=52" ]
Current State: 52:[15, 97, 81, 53], Operations: [] Exploring Operation: 97-15=82, Resulting Numbers: [81, 53, 82] Generated Node #2: [81, 53, 82] from Operation: 97-15=82 Current State: 52:[81, 53, 82], Operations: ['97-15=82'] Exploring Operation: 81+53=134, Resulting Numbers: [82, 134] Generated Node #3: [82, 134] from Operation: 81+53=134 Current State: 52:[82, 134], Operations: ['97-15=82', '81+53=134'] Exploring Operation: 134-82=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 26, 66, 65, 2 ]
71
[ "26/2=13", "65/13=5", "66+5=71" ]
Current State: 71:[26, 66, 65, 2], Operations: [] Exploring Operation: 26/2=13, Resulting Numbers: [66, 65, 13] Generated Node #2: [66, 65, 13] from Operation: 26/2=13 Current State: 71:[66, 65, 13], Operations: ['26/2=13'] Exploring Operation: 65/13=5, Resulting Numbers: [66, 5] Generated Node #3: [66, 5] from Operation: 65/13=5 Current State: 71:[66, 5], Operations: ['26/2=13', '65/13=5'] Exploring Operation: 66+5=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 73, 74, 37, 90 ]
34
[ "90-73=17", "74/37=2", "17*2=34" ]
Current State: 34:[73, 74, 37, 90], Operations: [] Exploring Operation: 90-73=17, Resulting Numbers: [74, 37, 17] Generated Node #2: [74, 37, 17] from Operation: 90-73=17 Current State: 34:[74, 37, 17], Operations: ['90-73=17'] Exploring Operation: 74/37=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 74/37=2 Current State: 34:[17, 2], Operations: ['90-73=17', '74/37=2'] Exploring Operation: 17*2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 33, 9, 38, 48 ]
57
[ "48-38=10", "9*10=90", "90-33=57" ]
Current State: 57:[33, 9, 38, 48], Operations: [] Exploring Operation: 48-38=10, Resulting Numbers: [33, 9, 10] Generated Node #2: [33, 9, 10] from Operation: 48-38=10 Current State: 57:[33, 9, 10], Operations: ['48-38=10'] Exploring Operation: 9*10=90, Resulting Numbers: [33, 90] Generated Node #3: [33, 90] from Operation: 9*10=90 Current State: 57:[33, 90], Operations: ['48-38=10', '9*10=90'] Exploring Operation: 90-33=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 59, 45, 44, 87 ]
29
[ "59-45=14", "87-44=43", "43-14=29" ]
Current State: 29:[59, 45, 44, 87], Operations: [] Exploring Operation: 59-45=14, Resulting Numbers: [44, 87, 14] Generated Node #2: [44, 87, 14] from Operation: 59-45=14 Current State: 29:[44, 87, 14], Operations: ['59-45=14'] Exploring Operation: 87-44=43, Resulting Numbers: [14, 43] Generated Node #3: [14, 43] from Operation: 87-44=43 Current State: 29:[14, 43], Operations: ['59-45=14', '87-44=43'] Exploring Operation: 43-14=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 36, 79, 84, 69 ]
82
[ "84*69=5796", "5796/36=161", "161-79=82" ]
Current State: 82:[36, 79, 84, 69], Operations: [] Exploring Operation: 84*69=5796, Resulting Numbers: [36, 79, 5796] Generated Node #2: [36, 79, 5796] from Operation: 84*69=5796 Current State: 82:[36, 79, 5796], Operations: ['84*69=5796'] Exploring Operation: 5796/36=161, Resulting Numbers: [79, 161] Generated Node #3: [79, 161] from Operation: 5796/36=161 Current State: 82:[79, 161], Operations: ['84*69=5796', '5796/36=161'] Exploring Operation: 161-79=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 9, 32, 65, 36 ]
14
[ "65-9=56", "36-32=4", "56/4=14" ]
Current State: 14:[9, 32, 65, 36], Operations: [] Exploring Operation: 65-9=56, Resulting Numbers: [32, 36, 56] Generated Node #2: [32, 36, 56] from Operation: 65-9=56 Current State: 14:[32, 36, 56], Operations: ['65-9=56'] Exploring Operation: 36-32=4, Resulting Numbers: [56, 4] Generated Node #3: [56, 4] from Operation: 36-32=4 Current State: 14:[56, 4], Operations: ['65-9=56', '36-32=4'] Exploring Operation: 56/4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 54, 67, 62, 45 ]
45
[ "54-45=9", "67-62=5", "9*5=45" ]
Current State: 45:[54, 67, 62, 45], Operations: [] Exploring Operation: 54-45=9, Resulting Numbers: [67, 62, 9] Generated Node #2: [67, 62, 9] from Operation: 54-45=9 Current State: 45:[67, 62, 9], Operations: ['54-45=9'] Exploring Operation: 67-62=5, Resulting Numbers: [9, 5] Generated Node #3: [9, 5] from Operation: 67-62=5 Current State: 45:[9, 5], Operations: ['54-45=9', '67-62=5'] Exploring Operation: 9*5=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 70, 14, 60, 63 ]
42
[ "63-14=49", "60*49=2940", "2940/70=42" ]
Current State: 42:[70, 14, 60, 63], Operations: [] Exploring Operation: 63-14=49, Resulting Numbers: [70, 60, 49] Generated Node #2: [70, 60, 49] from Operation: 63-14=49 Current State: 42:[70, 60, 49], Operations: ['63-14=49'] Exploring Operation: 60*49=2940, Resulting Numbers: [70, 2940] Generated Node #3: [70, 2940] from Operation: 60*49=2940 Current State: 42:[70, 2940], Operations: ['63-14=49', '60*49=2940'] Exploring Operation: 2940/70=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 74, 19, 22, 78 ]
98
[ "78-74=4", "19*4=76", "22+76=98" ]
Current State: 98:[74, 19, 22, 78], Operations: [] Exploring Operation: 78-74=4, Resulting Numbers: [19, 22, 4] Generated Node #2: [19, 22, 4] from Operation: 78-74=4 Current State: 98:[19, 22, 4], Operations: ['78-74=4'] Exploring Operation: 19*4=76, Resulting Numbers: [22, 76] Generated Node #3: [22, 76] from Operation: 19*4=76 Current State: 98:[22, 76], Operations: ['78-74=4', '19*4=76'] Exploring Operation: 22+76=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 21, 3, 87, 2 ]
67
[ "21-3=18", "87-2=85", "85-18=67" ]
Current State: 67:[21, 3, 87, 2], Operations: [] Exploring Operation: 21-3=18, Resulting Numbers: [87, 2, 18] Generated Node #2: [87, 2, 18] from Operation: 21-3=18 Current State: 67:[87, 2, 18], Operations: ['21-3=18'] Exploring Operation: 87-2=85, Resulting Numbers: [18, 85] Generated Node #3: [18, 85] from Operation: 87-2=85 Current State: 67:[18, 85], Operations: ['21-3=18', '87-2=85'] Exploring Operation: 85-18=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 16, 9, 3, 57 ]
38
[ "57-16=41", "9/3=3", "41-3=38" ]
Current State: 38:[16, 9, 3, 57], Operations: [] Exploring Operation: 57-16=41, Resulting Numbers: [9, 3, 41] Generated Node #2: [9, 3, 41] from Operation: 57-16=41 Current State: 38:[9, 3, 41], Operations: ['57-16=41'] Exploring Operation: 9/3=3, Resulting Numbers: [41, 3] Generated Node #3: [41, 3] from Operation: 9/3=3 Current State: 38:[41, 3], Operations: ['57-16=41', '9/3=3'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 36, 30, 3, 55 ]
83
[ "36*3=108", "55-30=25", "108-25=83" ]
Current State: 83:[36, 30, 3, 55], Operations: [] Exploring Operation: 36*3=108, Resulting Numbers: [30, 55, 108] Generated Node #2: [30, 55, 108] from Operation: 36*3=108 Current State: 83:[30, 55, 108], Operations: ['36*3=108'] Exploring Operation: 55-30=25, Resulting Numbers: [108, 25] Generated Node #3: [108, 25] from Operation: 55-30=25 Current State: 83:[108, 25], Operations: ['36*3=108', '55-30=25'] Exploring Operation: 108-25=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 92, 69, 23, 44 ]
88
[ "92*44=4048", "69-23=46", "4048/46=88" ]
Current State: 88:[92, 69, 23, 44], Operations: [] Exploring Operation: 92*44=4048, Resulting Numbers: [69, 23, 4048] Generated Node #2: [69, 23, 4048] from Operation: 92*44=4048 Current State: 88:[69, 23, 4048], Operations: ['92*44=4048'] Exploring Operation: 69-23=46, Resulting Numbers: [4048, 46] Generated Node #3: [4048, 46] from Operation: 69-23=46 Current State: 88:[4048, 46], Operations: ['92*44=4048', '69-23=46'] Exploring Operation: 4048/46=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 5, 46, 74, 78 ]
62
[ "74-46=28", "5*28=140", "140-78=62" ]
Current State: 62:[5, 46, 74, 78], Operations: [] Exploring Operation: 74-46=28, Resulting Numbers: [5, 78, 28] Generated Node #2: [5, 78, 28] from Operation: 74-46=28 Current State: 62:[5, 78, 28], Operations: ['74-46=28'] Exploring Operation: 5*28=140, Resulting Numbers: [78, 140] Generated Node #3: [78, 140] from Operation: 5*28=140 Current State: 62:[78, 140], Operations: ['74-46=28', '5*28=140'] Exploring Operation: 140-78=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 25, 49, 3, 59 ]
65
[ "25*3=75", "59-49=10", "75-10=65" ]
Current State: 65:[25, 49, 3, 59], Operations: [] Exploring Operation: 25*3=75, Resulting Numbers: [49, 59, 75] Generated Node #2: [49, 59, 75] from Operation: 25*3=75 Current State: 65:[49, 59, 75], Operations: ['25*3=75'] Exploring Operation: 59-49=10, Resulting Numbers: [75, 10] Generated Node #3: [75, 10] from Operation: 59-49=10 Current State: 65:[75, 10], Operations: ['25*3=75', '59-49=10'] Exploring Operation: 75-10=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 72, 20, 24, 23 ]
48
[ "23-20=3", "72/3=24", "24+24=48" ]
Current State: 48:[72, 20, 24, 23], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [72, 24, 3] Generated Node #2: [72, 24, 3] from Operation: 23-20=3 Current State: 48:[72, 24, 3], Operations: ['23-20=3'] Exploring Operation: 72/3=24, Resulting Numbers: [24, 24] Generated Node #3: [24, 24] from Operation: 72/3=24 Current State: 48:[24, 24], Operations: ['23-20=3', '72/3=24'] Exploring Operation: 24+24=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 54, 77, 29, 72 ]
12
[ "77-54=23", "29-23=6", "72/6=12" ]
Current State: 12:[54, 77, 29, 72], Operations: [] Exploring Operation: 77-54=23, Resulting Numbers: [29, 72, 23] Generated Node #2: [29, 72, 23] from Operation: 77-54=23 Current State: 12:[29, 72, 23], Operations: ['77-54=23'] Exploring Operation: 29-23=6, Resulting Numbers: [72, 6] Generated Node #3: [72, 6] from Operation: 29-23=6 Current State: 12:[72, 6], Operations: ['77-54=23', '29-23=6'] Exploring Operation: 72/6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 43, 54, 86, 4 ]
79
[ "54-43=11", "86+4=90", "90-11=79" ]
Current State: 79:[43, 54, 86, 4], Operations: [] Exploring Operation: 54-43=11, Resulting Numbers: [86, 4, 11] Generated Node #2: [86, 4, 11] from Operation: 54-43=11 Current State: 79:[86, 4, 11], Operations: ['54-43=11'] Exploring Operation: 86+4=90, Resulting Numbers: [11, 90] Generated Node #3: [11, 90] from Operation: 86+4=90 Current State: 79:[11, 90], Operations: ['54-43=11', '86+4=90'] Exploring Operation: 90-11=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 31, 48, 34, 93 ]
50
[ "31*48=1488", "1488/93=16", "34+16=50" ]
Current State: 50:[31, 48, 34, 93], Operations: [] Exploring Operation: 31*48=1488, Resulting Numbers: [34, 93, 1488] Generated Node #2: [34, 93, 1488] from Operation: 31*48=1488 Current State: 50:[34, 93, 1488], Operations: ['31*48=1488'] Exploring Operation: 1488/93=16, Resulting Numbers: [34, 16] Generated Node #3: [34, 16] from Operation: 1488/93=16 Current State: 50:[34, 16], Operations: ['31*48=1488', '1488/93=16'] Exploring Operation: 34+16=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 58, 38, 76, 78 ]
40
[ "58-38=20", "78-76=2", "20*2=40" ]
Current State: 40:[58, 38, 76, 78], Operations: [] Exploring Operation: 58-38=20, Resulting Numbers: [76, 78, 20] Generated Node #2: [76, 78, 20] from Operation: 58-38=20 Current State: 40:[76, 78, 20], Operations: ['58-38=20'] Exploring Operation: 78-76=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 78-76=2 Current State: 40:[20, 2], Operations: ['58-38=20', '78-76=2'] Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 32, 10, 7, 18 ]
78
[ "10-7=3", "32*3=96", "96-18=78" ]
Current State: 78:[32, 10, 7, 18], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [32, 18, 3] Generated Node #2: [32, 18, 3] from Operation: 10-7=3 Current State: 78:[32, 18, 3], Operations: ['10-7=3'] Exploring Operation: 32*3=96, Resulting Numbers: [18, 96] Generated Node #3: [18, 96] from Operation: 32*3=96 Current State: 78:[18, 96], Operations: ['10-7=3', '32*3=96'] Exploring Operation: 96-18=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 1, 39, 44, 5 ]
25
[ "1*39=39", "44-39=5", "5*5=25" ]
Current State: 25:[1, 39, 44, 5], Operations: [] Exploring Operation: 1*39=39, Resulting Numbers: [44, 5, 39] Generated Node #2: [44, 5, 39] from Operation: 1*39=39 Current State: 25:[44, 5, 39], Operations: ['1*39=39'] Exploring Operation: 44-39=5, Resulting Numbers: [5, 5] Generated Node #3: [5, 5] from Operation: 44-39=5 Current State: 25:[5, 5], Operations: ['1*39=39', '44-39=5'] Exploring Operation: 5*5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 63, 99, 97, 98 ]
61
[ "99+97=196", "196/98=2", "63-2=61" ]
Current State: 61:[63, 99, 97, 98], Operations: [] Exploring Operation: 99+97=196, Resulting Numbers: [63, 98, 196] Generated Node #2: [63, 98, 196] from Operation: 99+97=196 Current State: 61:[63, 98, 196], Operations: ['99+97=196'] Exploring Operation: 196/98=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 196/98=2 Current State: 61:[63, 2], Operations: ['99+97=196', '196/98=2'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 37, 8, 78, 5 ]
51
[ "78-8=70", "70/5=14", "37+14=51" ]
Current State: 51:[37, 8, 78, 5], Operations: [] Exploring Operation: 78-8=70, Resulting Numbers: [37, 5, 70] Generated Node #2: [37, 5, 70] from Operation: 78-8=70 Current State: 51:[37, 5, 70], Operations: ['78-8=70'] Exploring Operation: 70/5=14, Resulting Numbers: [37, 14] Generated Node #3: [37, 14] from Operation: 70/5=14 Current State: 51:[37, 14], Operations: ['78-8=70', '70/5=14'] Exploring Operation: 37+14=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 45, 96, 90, 23 ]
71
[ "45*96=4320", "4320/90=48", "23+48=71" ]
Current State: 71:[45, 96, 90, 23], Operations: [] Exploring Operation: 45*96=4320, Resulting Numbers: [90, 23, 4320] Generated Node #2: [90, 23, 4320] from Operation: 45*96=4320 Current State: 71:[90, 23, 4320], Operations: ['45*96=4320'] Exploring Operation: 4320/90=48, Resulting Numbers: [23, 48] Generated Node #3: [23, 48] from Operation: 4320/90=48 Current State: 71:[23, 48], Operations: ['45*96=4320', '4320/90=48'] Exploring Operation: 23+48=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 93, 27, 69, 33 ]
11
[ "93-27=66", "69-66=3", "33/3=11" ]
Current State: 11:[93, 27, 69, 33], Operations: [] Exploring Operation: 93-27=66, Resulting Numbers: [69, 33, 66] Generated Node #2: [69, 33, 66] from Operation: 93-27=66 Current State: 11:[69, 33, 66], Operations: ['93-27=66'] Exploring Operation: 69-66=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 69-66=3 Current State: 11:[33, 3], Operations: ['93-27=66', '69-66=3'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 64, 98, 7, 63 ]
36
[ "98-64=34", "7+63=70", "70-34=36" ]
Current State: 36:[64, 98, 7, 63], Operations: [] Exploring Operation: 98-64=34, Resulting Numbers: [7, 63, 34] Generated Node #2: [7, 63, 34] from Operation: 98-64=34 Current State: 36:[7, 63, 34], Operations: ['98-64=34'] Exploring Operation: 7+63=70, Resulting Numbers: [34, 70] Generated Node #3: [34, 70] from Operation: 7+63=70 Current State: 36:[34, 70], Operations: ['98-64=34', '7+63=70'] Exploring Operation: 70-34=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 68, 4, 4, 30 ]
52
[ "68/4=17", "30-17=13", "4*13=52" ]
Current State: 52:[68, 4, 4, 30], Operations: [] Exploring Operation: 68/4=17, Resulting Numbers: [30, 17] Generated Node #2: [30, 17] from Operation: 68/4=17 Current State: 52:[30, 17], Operations: ['68/4=17'] Exploring Operation: 30-17=13, Resulting Numbers: [13] 13,52 equal: Goal Reached Exploring Operation: 4*13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 62, 48, 72, 40 ]
33
[ "62-40=22", "72*22=1584", "1584/48=33" ]
Current State: 33:[62, 48, 72, 40], Operations: [] Exploring Operation: 62-40=22, Resulting Numbers: [48, 72, 22] Generated Node #2: [48, 72, 22] from Operation: 62-40=22 Current State: 33:[48, 72, 22], Operations: ['62-40=22'] Exploring Operation: 72*22=1584, Resulting Numbers: [48, 1584] Generated Node #3: [48, 1584] from Operation: 72*22=1584 Current State: 33:[48, 1584], Operations: ['62-40=22', '72*22=1584'] Exploring Operation: 1584/48=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 6, 4, 47, 44 ]
39
[ "4+44=48", "48/6=8", "47-8=39" ]
Current State: 39:[6, 4, 47, 44], Operations: [] Exploring Operation: 4+44=48, Resulting Numbers: [6, 47, 48] Generated Node #2: [6, 47, 48] from Operation: 4+44=48 Current State: 39:[6, 47, 48], Operations: ['4+44=48'] Exploring Operation: 48/6=8, Resulting Numbers: [47, 8] Generated Node #3: [47, 8] from Operation: 48/6=8 Current State: 39:[47, 8], Operations: ['4+44=48', '48/6=8'] Exploring Operation: 47-8=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 7, 55, 2, 48 ]
27
[ "48-7=41", "2*41=82", "82-55=27" ]
Current State: 27:[7, 55, 2, 48], Operations: [] Exploring Operation: 48-7=41, Resulting Numbers: [55, 2, 41] Generated Node #2: [55, 2, 41] from Operation: 48-7=41 Current State: 27:[55, 2, 41], Operations: ['48-7=41'] Exploring Operation: 2*41=82, Resulting Numbers: [55, 82] Generated Node #3: [55, 82] from Operation: 2*41=82 Current State: 27:[55, 82], Operations: ['48-7=41', '2*41=82'] Exploring Operation: 82-55=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 58, 61, 37, 22 ]
60
[ "58+61=119", "37+22=59", "119-59=60" ]
Current State: 60:[58, 61, 37, 22], Operations: [] Exploring Operation: 58+61=119, Resulting Numbers: [37, 22, 119] Generated Node #2: [37, 22, 119] from Operation: 58+61=119 Current State: 60:[37, 22, 119], Operations: ['58+61=119'] Exploring Operation: 37+22=59, Resulting Numbers: [119, 59] Generated Node #3: [119, 59] from Operation: 37+22=59 Current State: 60:[119, 59], Operations: ['58+61=119', '37+22=59'] Exploring Operation: 119-59=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 63, 12, 21, 7 ]
59
[ "12*7=84", "84/21=4", "63-4=59" ]
Current State: 59:[63, 12, 21, 7], Operations: [] Exploring Operation: 12*7=84, Resulting Numbers: [63, 21, 84] Generated Node #2: [63, 21, 84] from Operation: 12*7=84 Current State: 59:[63, 21, 84], Operations: ['12*7=84'] Exploring Operation: 84/21=4, Resulting Numbers: [63, 4] Generated Node #3: [63, 4] from Operation: 84/21=4 Current State: 59:[63, 4], Operations: ['12*7=84', '84/21=4'] Exploring Operation: 63-4=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 15, 80, 40, 80 ]
54
[ "15+40=55", "80/80=1", "55-1=54" ]
Current State: 54:[15, 80, 40, 80], Operations: [] Exploring Operation: 15+40=55, Resulting Numbers: [80, 80, 55] Generated Node #2: [80, 80, 55] from Operation: 15+40=55 Current State: 54:[80, 80, 55], Operations: ['15+40=55'] Exploring Operation: 80/80=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 80/80=1 Current State: 54:[55, 1], Operations: ['15+40=55', '80/80=1'] Exploring Operation: 55-1=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 97, 97, 63, 87 ]
87
[ "97-97=0", "63*0=0", "87+0=87" ]
Current State: 87:[97, 97, 63, 87], Operations: [] Exploring Operation: 97-97=0, Resulting Numbers: [63, 87, 0] Generated Node #2: [63, 87, 0] from Operation: 97-97=0 Current State: 87:[63, 87, 0], Operations: ['97-97=0'] Exploring Operation: 63*0=0, Resulting Numbers: [87, 0] Generated Node #3: [87, 0] from Operation: 63*0=0 Current State: 87:[87, 0], Operations: ['97-97=0', '63*0=0'] Exploring Operation: 87+0=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 32, 9, 34, 45 ]
12
[ "32-9=23", "45-34=11", "23-11=12" ]
Current State: 12:[32, 9, 34, 45], Operations: [] Exploring Operation: 32-9=23, Resulting Numbers: [34, 45, 23] Generated Node #2: [34, 45, 23] from Operation: 32-9=23 Current State: 12:[34, 45, 23], Operations: ['32-9=23'] Exploring Operation: 45-34=11, Resulting Numbers: [23, 11] Generated Node #3: [23, 11] from Operation: 45-34=11 Current State: 12:[23, 11], Operations: ['32-9=23', '45-34=11'] Exploring Operation: 23-11=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 24, 72, 37, 2 ]
85
[ "24+72=96", "96/2=48", "37+48=85" ]
Current State: 85:[24, 72, 37, 2], Operations: [] Exploring Operation: 24+72=96, Resulting Numbers: [37, 2, 96] Generated Node #2: [37, 2, 96] from Operation: 24+72=96 Current State: 85:[37, 2, 96], Operations: ['24+72=96'] Exploring Operation: 96/2=48, Resulting Numbers: [37, 48] Generated Node #3: [37, 48] from Operation: 96/2=48 Current State: 85:[37, 48], Operations: ['24+72=96', '96/2=48'] Exploring Operation: 37+48=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 57, 32, 19, 59 ]
37
[ "57*32=1824", "1824/19=96", "96-59=37" ]
Current State: 37:[57, 32, 19, 59], Operations: [] Exploring Operation: 57*32=1824, Resulting Numbers: [19, 59, 1824] Generated Node #2: [19, 59, 1824] from Operation: 57*32=1824 Current State: 37:[19, 59, 1824], Operations: ['57*32=1824'] Exploring Operation: 1824/19=96, Resulting Numbers: [59, 96] Generated Node #3: [59, 96] from Operation: 1824/19=96 Current State: 37:[59, 96], Operations: ['57*32=1824', '1824/19=96'] Exploring Operation: 96-59=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 4, 18, 48, 19 ]
15
[ "18-4=14", "48-19=29", "29-14=15" ]
Current State: 15:[4, 18, 48, 19], Operations: [] Exploring Operation: 18-4=14, Resulting Numbers: [48, 19, 14] Generated Node #2: [48, 19, 14] from Operation: 18-4=14 Current State: 15:[48, 19, 14], Operations: ['18-4=14'] Exploring Operation: 48-19=29, Resulting Numbers: [14, 29] Generated Node #3: [14, 29] from Operation: 48-19=29 Current State: 15:[14, 29], Operations: ['18-4=14', '48-19=29'] Exploring Operation: 29-14=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 61, 18, 36, 82 ]
33
[ "61+18=79", "82-36=46", "79-46=33" ]
Current State: 33:[61, 18, 36, 82], Operations: [] Exploring Operation: 61+18=79, Resulting Numbers: [36, 82, 79] Generated Node #2: [36, 82, 79] from Operation: 61+18=79 Current State: 33:[36, 82, 79], Operations: ['61+18=79'] Exploring Operation: 82-36=46, Resulting Numbers: [79, 46] Generated Node #3: [79, 46] from Operation: 82-36=46 Current State: 33:[79, 46], Operations: ['61+18=79', '82-36=46'] Exploring Operation: 79-46=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 90, 94, 84, 3 ]
91
[ "94-90=4", "84+3=87", "4+87=91" ]
Current State: 91:[90, 94, 84, 3], Operations: [] Exploring Operation: 94-90=4, Resulting Numbers: [84, 3, 4] Generated Node #2: [84, 3, 4] from Operation: 94-90=4 Current State: 91:[84, 3, 4], Operations: ['94-90=4'] Exploring Operation: 84+3=87, Resulting Numbers: [4, 87] Generated Node #3: [4, 87] from Operation: 84+3=87 Current State: 91:[4, 87], Operations: ['94-90=4', '84+3=87'] Exploring Operation: 4+87=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 86, 9, 33, 22 ]
43
[ "33-9=24", "24-22=2", "86/2=43" ]
Current State: 43:[86, 9, 33, 22], Operations: [] Exploring Operation: 33-9=24, Resulting Numbers: [86, 22, 24] Generated Node #2: [86, 22, 24] from Operation: 33-9=24 Current State: 43:[86, 22, 24], Operations: ['33-9=24'] Exploring Operation: 24-22=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 24-22=2 Current State: 43:[86, 2], Operations: ['33-9=24', '24-22=2'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 66, 2, 14, 20 ]
12
[ "66-14=52", "2*20=40", "52-40=12" ]
Current State: 12:[66, 2, 14, 20], Operations: [] Exploring Operation: 66-14=52, Resulting Numbers: [2, 20, 52] Generated Node #2: [2, 20, 52] from Operation: 66-14=52 Current State: 12:[2, 20, 52], Operations: ['66-14=52'] Exploring Operation: 2*20=40, Resulting Numbers: [52, 40] Generated Node #3: [52, 40] from Operation: 2*20=40 Current State: 12:[52, 40], Operations: ['66-14=52', '2*20=40'] Exploring Operation: 52-40=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 37, 14, 6, 69 ]
98
[ "37-14=23", "6+69=75", "23+75=98" ]
Current State: 98:[37, 14, 6, 69], Operations: [] Exploring Operation: 37-14=23, Resulting Numbers: [6, 69, 23] Generated Node #2: [6, 69, 23] from Operation: 37-14=23 Current State: 98:[6, 69, 23], Operations: ['37-14=23'] Exploring Operation: 6+69=75, Resulting Numbers: [23, 75] Generated Node #3: [23, 75] from Operation: 6+69=75 Current State: 98:[23, 75], Operations: ['37-14=23', '6+69=75'] Exploring Operation: 23+75=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 17, 75, 68, 13 ]
58
[ "68/17=4", "75-13=62", "62-4=58" ]
Current State: 58:[17, 75, 68, 13], Operations: [] Exploring Operation: 68/17=4, Resulting Numbers: [75, 13, 4] Generated Node #2: [75, 13, 4] from Operation: 68/17=4 Current State: 58:[75, 13, 4], Operations: ['68/17=4'] Exploring Operation: 75-13=62, Resulting Numbers: [4, 62] Generated Node #3: [4, 62] from Operation: 75-13=62 Current State: 58:[4, 62], Operations: ['68/17=4', '75-13=62'] Exploring Operation: 62-4=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 54, 10, 37, 30 ]
32
[ "37-10=27", "54/27=2", "30+2=32" ]
Current State: 32:[54, 10, 37, 30], Operations: [] Exploring Operation: 37-10=27, Resulting Numbers: [54, 30, 27] Generated Node #2: [54, 30, 27] from Operation: 37-10=27 Current State: 32:[54, 30, 27], Operations: ['37-10=27'] Exploring Operation: 54/27=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 54/27=2 Current State: 32:[30, 2], Operations: ['37-10=27', '54/27=2'] Exploring Operation: 30+2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 88, 15, 88, 18 ]
94
[ "88+88=176", "15*18=270", "270-176=94" ]
Current State: 94:[88, 15, 88, 18], Operations: [] Exploring Operation: 88+88=176, Resulting Numbers: [15, 18, 176] Generated Node #2: [15, 18, 176] from Operation: 88+88=176 Current State: 94:[15, 18, 176], Operations: ['88+88=176'] Exploring Operation: 15*18=270, Resulting Numbers: [176, 270] Generated Node #3: [176, 270] from Operation: 15*18=270 Current State: 94:[176, 270], Operations: ['88+88=176', '15*18=270'] Exploring Operation: 270-176=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 16, 52, 5, 20 ]
17
[ "16+52=68", "20/5=4", "68/4=17" ]
Current State: 17:[16, 52, 5, 20], Operations: [] Exploring Operation: 16+52=68, Resulting Numbers: [5, 20, 68] Generated Node #2: [5, 20, 68] from Operation: 16+52=68 Current State: 17:[5, 20, 68], Operations: ['16+52=68'] Exploring Operation: 20/5=4, Resulting Numbers: [68, 4] Generated Node #3: [68, 4] from Operation: 20/5=4 Current State: 17:[68, 4], Operations: ['16+52=68', '20/5=4'] Exploring Operation: 68/4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 44, 84, 81, 40 ]
12
[ "44-40=4", "84-81=3", "4*3=12" ]
Current State: 12:[44, 84, 81, 40], Operations: [] Exploring Operation: 44-40=4, Resulting Numbers: [84, 81, 4] Generated Node #2: [84, 81, 4] from Operation: 44-40=4 Current State: 12:[84, 81, 4], Operations: ['44-40=4'] Exploring Operation: 84-81=3, Resulting Numbers: [4, 3] Generated Node #3: [4, 3] from Operation: 84-81=3 Current State: 12:[4, 3], Operations: ['44-40=4', '84-81=3'] Exploring Operation: 4*3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 2, 39, 26, 27 ]
81
[ "2*39=78", "78/26=3", "27*3=81" ]
Current State: 81:[2, 39, 26, 27], Operations: [] Exploring Operation: 2*39=78, Resulting Numbers: [26, 27, 78] Generated Node #2: [26, 27, 78] from Operation: 2*39=78 Current State: 81:[26, 27, 78], Operations: ['2*39=78'] Exploring Operation: 78/26=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 78/26=3 Current State: 81:[27, 3], Operations: ['2*39=78', '78/26=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 4, 84, 14, 1 ]
35
[ "84/4=21", "14*1=14", "21+14=35" ]
Current State: 35:[4, 84, 14, 1], Operations: [] Exploring Operation: 84/4=21, Resulting Numbers: [14, 1, 21] Generated Node #2: [14, 1, 21] from Operation: 84/4=21 Current State: 35:[14, 1, 21], Operations: ['84/4=21'] Exploring Operation: 14*1=14, Resulting Numbers: [21, 14] Generated Node #3: [21, 14] from Operation: 14*1=14 Current State: 35:[21, 14], Operations: ['84/4=21', '14*1=14'] Exploring Operation: 21+14=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 16, 14, 16, 40 ]
86
[ "16+14=30", "16+40=56", "30+56=86" ]
Current State: 86:[16, 14, 16, 40], Operations: [] Exploring Operation: 16+14=30, Resulting Numbers: [40, 30] Generated Node #2: [40, 30] from Operation: 16+14=30 Current State: 86:[40, 30], Operations: ['16+14=30'] Exploring Operation: 16+40=56, Resulting Numbers: [30, 56] Generated Node #3: [30, 56] from Operation: 16+40=56 Current State: 86:[30, 56], Operations: ['16+14=30', '16+40=56'] Exploring Operation: 30+56=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 40, 30, 32, 42 ]
92
[ "42-40=2", "30*2=60", "32+60=92" ]
Current State: 92:[40, 30, 32, 42], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [30, 32, 2] Generated Node #2: [30, 32, 2] from Operation: 42-40=2 Current State: 92:[30, 32, 2], Operations: ['42-40=2'] Exploring Operation: 30*2=60, Resulting Numbers: [32, 60] Generated Node #3: [32, 60] from Operation: 30*2=60 Current State: 92:[32, 60], Operations: ['42-40=2', '30*2=60'] Exploring Operation: 32+60=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 26, 4, 74, 98 ]
95
[ "4+74=78", "78/26=3", "98-3=95" ]
Current State: 95:[26, 4, 74, 98], Operations: [] Exploring Operation: 4+74=78, Resulting Numbers: [26, 98, 78] Generated Node #2: [26, 98, 78] from Operation: 4+74=78 Current State: 95:[26, 98, 78], Operations: ['4+74=78'] Exploring Operation: 78/26=3, Resulting Numbers: [98, 3] Generated Node #3: [98, 3] from Operation: 78/26=3 Current State: 95:[98, 3], Operations: ['4+74=78', '78/26=3'] Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 92, 18, 50, 65 ]
95
[ "92+18=110", "65-50=15", "110-15=95" ]
Current State: 95:[92, 18, 50, 65], Operations: [] Exploring Operation: 92+18=110, Resulting Numbers: [50, 65, 110] Generated Node #2: [50, 65, 110] from Operation: 92+18=110 Current State: 95:[50, 65, 110], Operations: ['92+18=110'] Exploring Operation: 65-50=15, Resulting Numbers: [110, 15] Generated Node #3: [110, 15] from Operation: 65-50=15 Current State: 95:[110, 15], Operations: ['92+18=110', '65-50=15'] Exploring Operation: 110-15=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 68, 93, 60, 50 ]
85
[ "93-68=25", "60+50=110", "110-25=85" ]
Current State: 85:[68, 93, 60, 50], Operations: [] Exploring Operation: 93-68=25, Resulting Numbers: [60, 50, 25] Generated Node #2: [60, 50, 25] from Operation: 93-68=25 Current State: 85:[60, 50, 25], Operations: ['93-68=25'] Exploring Operation: 60+50=110, Resulting Numbers: [25, 110] Generated Node #3: [25, 110] from Operation: 60+50=110 Current State: 85:[25, 110], Operations: ['93-68=25', '60+50=110'] Exploring Operation: 110-25=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 93, 47, 87, 87 ]
47
[ "93-47=46", "87/87=1", "46+1=47" ]
Current State: 47:[93, 47, 87, 87], Operations: [] Exploring Operation: 93-47=46, Resulting Numbers: [87, 87, 46] Generated Node #2: [87, 87, 46] from Operation: 93-47=46 Current State: 47:[87, 87, 46], Operations: ['93-47=46'] Exploring Operation: 87/87=1, Resulting Numbers: [46, 1] Generated Node #3: [46, 1] from Operation: 87/87=1 Current State: 47:[46, 1], Operations: ['93-47=46', '87/87=1'] Exploring Operation: 46+1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 39, 44, 87, 34 ]
30
[ "39+44=83", "87-34=53", "83-53=30" ]
Current State: 30:[39, 44, 87, 34], Operations: [] Exploring Operation: 39+44=83, Resulting Numbers: [87, 34, 83] Generated Node #2: [87, 34, 83] from Operation: 39+44=83 Current State: 30:[87, 34, 83], Operations: ['39+44=83'] Exploring Operation: 87-34=53, Resulting Numbers: [83, 53] Generated Node #3: [83, 53] from Operation: 87-34=53 Current State: 30:[83, 53], Operations: ['39+44=83', '87-34=53'] Exploring Operation: 83-53=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 9, 91, 82, 62 ]
75
[ "82+62=144", "144/9=16", "91-16=75" ]
Current State: 75:[9, 91, 82, 62], Operations: [] Exploring Operation: 82+62=144, Resulting Numbers: [9, 91, 144] Generated Node #2: [9, 91, 144] from Operation: 82+62=144 Current State: 75:[9, 91, 144], Operations: ['82+62=144'] Exploring Operation: 144/9=16, Resulting Numbers: [91, 16] Generated Node #3: [91, 16] from Operation: 144/9=16 Current State: 75:[91, 16], Operations: ['82+62=144', '144/9=16'] Exploring Operation: 91-16=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 18, 86, 81, 20 ]
43
[ "18+86=104", "81-20=61", "104-61=43" ]
Current State: 43:[18, 86, 81, 20], Operations: [] Exploring Operation: 18+86=104, Resulting Numbers: [81, 20, 104] Generated Node #2: [81, 20, 104] from Operation: 18+86=104 Current State: 43:[81, 20, 104], Operations: ['18+86=104'] Exploring Operation: 81-20=61, Resulting Numbers: [104, 61] Generated Node #3: [104, 61] from Operation: 81-20=61 Current State: 43:[104, 61], Operations: ['18+86=104', '81-20=61'] Exploring Operation: 104-61=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 60, 3, 66, 70 ]
79
[ "60-3=57", "66+70=136", "136-57=79" ]
Current State: 79:[60, 3, 66, 70], Operations: [] Exploring Operation: 60-3=57, Resulting Numbers: [66, 70, 57] Generated Node #2: [66, 70, 57] from Operation: 60-3=57 Current State: 79:[66, 70, 57], Operations: ['60-3=57'] Exploring Operation: 66+70=136, Resulting Numbers: [57, 136] Generated Node #3: [57, 136] from Operation: 66+70=136 Current State: 79:[57, 136], Operations: ['60-3=57', '66+70=136'] Exploring Operation: 136-57=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 13, 89, 29, 55 ]
38
[ "13*89=1157", "1157-55=1102", "1102/29=38" ]
Current State: 38:[13, 89, 29, 55], Operations: [] Exploring Operation: 13*89=1157, Resulting Numbers: [29, 55, 1157] Generated Node #2: [29, 55, 1157] from Operation: 13*89=1157 Current State: 38:[29, 55, 1157], Operations: ['13*89=1157'] Exploring Operation: 1157-55=1102, Resulting Numbers: [29, 1102] Generated Node #3: [29, 1102] from Operation: 1157-55=1102 Current State: 38:[29, 1102], Operations: ['13*89=1157', '1157-55=1102'] Exploring Operation: 1102/29=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 38, 87, 48, 62 ]
15
[ "38+87=125", "48+62=110", "125-110=15" ]
Current State: 15:[38, 87, 48, 62], Operations: [] Exploring Operation: 38+87=125, Resulting Numbers: [48, 62, 125] Generated Node #2: [48, 62, 125] from Operation: 38+87=125 Current State: 15:[48, 62, 125], Operations: ['38+87=125'] Exploring Operation: 48+62=110, Resulting Numbers: [125, 110] Generated Node #3: [125, 110] from Operation: 48+62=110 Current State: 15:[125, 110], Operations: ['38+87=125', '48+62=110'] Exploring Operation: 125-110=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 14, 87, 5, 9 ]
97
[ "14+87=101", "9-5=4", "101-4=97" ]
Current State: 97:[14, 87, 5, 9], Operations: [] Exploring Operation: 14+87=101, Resulting Numbers: [5, 9, 101] Generated Node #2: [5, 9, 101] from Operation: 14+87=101 Current State: 97:[5, 9, 101], Operations: ['14+87=101'] Exploring Operation: 9-5=4, Resulting Numbers: [101, 4] Generated Node #3: [101, 4] from Operation: 9-5=4 Current State: 97:[101, 4], Operations: ['14+87=101', '9-5=4'] Exploring Operation: 101-4=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 77, 88, 79, 24 ]
66
[ "88-77=11", "79-24=55", "11+55=66" ]
Current State: 66:[77, 88, 79, 24], Operations: [] Exploring Operation: 88-77=11, Resulting Numbers: [79, 24, 11] Generated Node #2: [79, 24, 11] from Operation: 88-77=11 Current State: 66:[79, 24, 11], Operations: ['88-77=11'] Exploring Operation: 79-24=55, Resulting Numbers: [11, 55] Generated Node #3: [11, 55] from Operation: 79-24=55 Current State: 66:[11, 55], Operations: ['88-77=11', '79-24=55'] Exploring Operation: 11+55=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 37, 40, 79, 34 ]
77
[ "40+34=74", "74/37=2", "79-2=77" ]
Current State: 77:[37, 40, 79, 34], Operations: [] Exploring Operation: 40+34=74, Resulting Numbers: [37, 79, 74] Generated Node #2: [37, 79, 74] from Operation: 40+34=74 Current State: 77:[37, 79, 74], Operations: ['40+34=74'] Exploring Operation: 74/37=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 74/37=2 Current State: 77:[79, 2], Operations: ['40+34=74', '74/37=2'] Exploring Operation: 79-2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 11, 57, 6, 6 ]
67
[ "11+57=68", "6/6=1", "68-1=67" ]
Current State: 67:[11, 57, 6, 6], Operations: [] Exploring Operation: 11+57=68, Resulting Numbers: [6, 6, 68] Generated Node #2: [6, 6, 68] from Operation: 11+57=68 Current State: 67:[6, 6, 68], Operations: ['11+57=68'] Exploring Operation: 6/6=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 6/6=1 Current State: 67:[68, 1], Operations: ['11+57=68', '6/6=1'] Exploring Operation: 68-1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 54, 53, 40, 7 ]
46
[ "54-53=1", "40+7=47", "47-1=46" ]
Current State: 46:[54, 53, 40, 7], Operations: [] Exploring Operation: 54-53=1, Resulting Numbers: [40, 7, 1] Generated Node #2: [40, 7, 1] from Operation: 54-53=1 Current State: 46:[40, 7, 1], Operations: ['54-53=1'] Exploring Operation: 40+7=47, Resulting Numbers: [1, 47] Generated Node #3: [1, 47] from Operation: 40+7=47 Current State: 46:[1, 47], Operations: ['54-53=1', '40+7=47'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 87, 84, 73, 44 ]
32
[ "87-84=3", "73-44=29", "3+29=32" ]
Current State: 32:[87, 84, 73, 44], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [73, 44, 3] Generated Node #2: [73, 44, 3] from Operation: 87-84=3 Current State: 32:[73, 44, 3], Operations: ['87-84=3'] Exploring Operation: 73-44=29, Resulting Numbers: [3, 29] Generated Node #3: [3, 29] from Operation: 73-44=29 Current State: 32:[3, 29], Operations: ['87-84=3', '73-44=29'] Exploring Operation: 3+29=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 38, 61, 88, 18 ]
54
[ "38+88=126", "126/18=7", "61-7=54" ]
Current State: 54:[38, 61, 88, 18], Operations: [] Exploring Operation: 38+88=126, Resulting Numbers: [61, 18, 126] Generated Node #2: [61, 18, 126] from Operation: 38+88=126 Current State: 54:[61, 18, 126], Operations: ['38+88=126'] Exploring Operation: 126/18=7, Resulting Numbers: [61, 7] Generated Node #3: [61, 7] from Operation: 126/18=7 Current State: 54:[61, 7], Operations: ['38+88=126', '126/18=7'] Exploring Operation: 61-7=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 80, 93, 76, 44 ]
82
[ "80-76=4", "44/4=11", "93-11=82" ]
Current State: 82:[80, 93, 76, 44], Operations: [] Exploring Operation: 80-76=4, Resulting Numbers: [93, 44, 4] Generated Node #2: [93, 44, 4] from Operation: 80-76=4 Current State: 82:[93, 44, 4], Operations: ['80-76=4'] Exploring Operation: 44/4=11, Resulting Numbers: [93, 11] Generated Node #3: [93, 11] from Operation: 44/4=11 Current State: 82:[93, 11], Operations: ['80-76=4', '44/4=11'] Exploring Operation: 93-11=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 76, 19, 12, 6 ]
54
[ "76/19=4", "12*4=48", "6+48=54" ]
Current State: 54:[76, 19, 12, 6], Operations: [] Exploring Operation: 76/19=4, Resulting Numbers: [12, 6, 4] Generated Node #2: [12, 6, 4] from Operation: 76/19=4 Current State: 54:[12, 6, 4], Operations: ['76/19=4'] Exploring Operation: 12*4=48, Resulting Numbers: [6, 48] Generated Node #3: [6, 48] from Operation: 12*4=48 Current State: 54:[6, 48], Operations: ['76/19=4', '12*4=48'] Exploring Operation: 6+48=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 36, 72, 7, 4 ]
61
[ "36+7=43", "72/4=18", "43+18=61" ]
Current State: 61:[36, 72, 7, 4], Operations: [] Exploring Operation: 36+7=43, Resulting Numbers: [72, 4, 43] Generated Node #2: [72, 4, 43] from Operation: 36+7=43 Current State: 61:[72, 4, 43], Operations: ['36+7=43'] Exploring Operation: 72/4=18, Resulting Numbers: [43, 18] Generated Node #3: [43, 18] from Operation: 72/4=18 Current State: 61:[43, 18], Operations: ['36+7=43', '72/4=18'] Exploring Operation: 43+18=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 82, 33, 57, 3 ]
30
[ "82-33=49", "57/3=19", "49-19=30" ]
Current State: 30:[82, 33, 57, 3], Operations: [] Exploring Operation: 82-33=49, Resulting Numbers: [57, 3, 49] Generated Node #2: [57, 3, 49] from Operation: 82-33=49 Current State: 30:[57, 3, 49], Operations: ['82-33=49'] Exploring Operation: 57/3=19, Resulting Numbers: [49, 19] Generated Node #3: [49, 19] from Operation: 57/3=19 Current State: 30:[49, 19], Operations: ['82-33=49', '57/3=19'] Exploring Operation: 49-19=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 5, 12, 24, 5 ]
55
[ "24-12=12", "5*12=60", "60-5=55" ]
Current State: 55:[5, 12, 24, 5], Operations: [] Exploring Operation: 24-12=12, Resulting Numbers: [5, 5, 12] Generated Node #2: [5, 5, 12] from Operation: 24-12=12 Current State: 55:[5, 5, 12], Operations: ['24-12=12'] Exploring Operation: 5*12=60, Resulting Numbers: [60] 60,55 equal: Goal Reached Exploring Operation: 60-5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 26, 22, 80, 35 ]
93
[ "26+22=48", "80-35=45", "48+45=93" ]
Current State: 93:[26, 22, 80, 35], Operations: [] Exploring Operation: 26+22=48, Resulting Numbers: [80, 35, 48] Generated Node #2: [80, 35, 48] from Operation: 26+22=48 Current State: 93:[80, 35, 48], Operations: ['26+22=48'] Exploring Operation: 80-35=45, Resulting Numbers: [48, 45] Generated Node #3: [48, 45] from Operation: 80-35=45 Current State: 93:[48, 45], Operations: ['26+22=48', '80-35=45'] Exploring Operation: 48+45=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 89, 2, 12, 34 ]
86
[ "89-12=77", "77-34=43", "2*43=86" ]
Current State: 86:[89, 2, 12, 34], Operations: [] Exploring Operation: 89-12=77, Resulting Numbers: [2, 34, 77] Generated Node #2: [2, 34, 77] from Operation: 89-12=77 Current State: 86:[2, 34, 77], Operations: ['89-12=77'] Exploring Operation: 77-34=43, Resulting Numbers: [2, 43] Generated Node #3: [2, 43] from Operation: 77-34=43 Current State: 86:[2, 43], Operations: ['89-12=77', '77-34=43'] Exploring Operation: 2*43=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 74, 80, 41, 66 ]
47
[ "74+80=154", "41+66=107", "154-107=47" ]
Current State: 47:[74, 80, 41, 66], Operations: [] Exploring Operation: 74+80=154, Resulting Numbers: [41, 66, 154] Generated Node #2: [41, 66, 154] from Operation: 74+80=154 Current State: 47:[41, 66, 154], Operations: ['74+80=154'] Exploring Operation: 41+66=107, Resulting Numbers: [154, 107] Generated Node #3: [154, 107] from Operation: 41+66=107 Current State: 47:[154, 107], Operations: ['74+80=154', '41+66=107'] Exploring Operation: 154-107=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 50, 52, 37, 7 ]
67
[ "52-50=2", "37*2=74", "74-7=67" ]
Current State: 67:[50, 52, 37, 7], Operations: [] Exploring Operation: 52-50=2, Resulting Numbers: [37, 7, 2] Generated Node #2: [37, 7, 2] from Operation: 52-50=2 Current State: 67:[37, 7, 2], Operations: ['52-50=2'] Exploring Operation: 37*2=74, Resulting Numbers: [7, 74] Generated Node #3: [7, 74] from Operation: 37*2=74 Current State: 67:[7, 74], Operations: ['52-50=2', '37*2=74'] Exploring Operation: 74-7=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 20, 59, 3, 44 ]
86
[ "59-20=39", "3+44=47", "39+47=86" ]
Current State: 86:[20, 59, 3, 44], Operations: [] Exploring Operation: 59-20=39, Resulting Numbers: [3, 44, 39] Generated Node #2: [3, 44, 39] from Operation: 59-20=39 Current State: 86:[3, 44, 39], Operations: ['59-20=39'] Exploring Operation: 3+44=47, Resulting Numbers: [39, 47] Generated Node #3: [39, 47] from Operation: 3+44=47 Current State: 86:[39, 47], Operations: ['59-20=39', '3+44=47'] Exploring Operation: 39+47=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 79, 52, 25, 26 ]
56
[ "79+25=104", "104/26=4", "52+4=56" ]
Current State: 56:[79, 52, 25, 26], Operations: [] Exploring Operation: 79+25=104, Resulting Numbers: [52, 26, 104] Generated Node #2: [52, 26, 104] from Operation: 79+25=104 Current State: 56:[52, 26, 104], Operations: ['79+25=104'] Exploring Operation: 104/26=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 104/26=4 Current State: 56:[52, 4], Operations: ['79+25=104', '104/26=4'] Exploring Operation: 52+4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 2, 13, 83, 47 ]
52
[ "83+47=130", "130/2=65", "65-13=52" ]
Current State: 52:[2, 13, 83, 47], Operations: [] Exploring Operation: 83+47=130, Resulting Numbers: [2, 13, 130] Generated Node #2: [2, 13, 130] from Operation: 83+47=130 Current State: 52:[2, 13, 130], Operations: ['83+47=130'] Exploring Operation: 130/2=65, Resulting Numbers: [13, 65] Generated Node #3: [13, 65] from Operation: 130/2=65 Current State: 52:[13, 65], Operations: ['83+47=130', '130/2=65'] Exploring Operation: 65-13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 11, 9, 75, 97 ]
73
[ "11*9=99", "75+97=172", "172-99=73" ]
Current State: 73:[11, 9, 75, 97], Operations: [] Exploring Operation: 11*9=99, Resulting Numbers: [75, 97, 99] Generated Node #2: [75, 97, 99] from Operation: 11*9=99 Current State: 73:[75, 97, 99], Operations: ['11*9=99'] Exploring Operation: 75+97=172, Resulting Numbers: [99, 172] Generated Node #3: [99, 172] from Operation: 75+97=172 Current State: 73:[99, 172], Operations: ['11*9=99', '75+97=172'] Exploring Operation: 172-99=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4