Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 72, 10, 54, 80 ]
88
[ "72-10=62", "80-54=26", "62+26=88" ]
Current State: 88:[72, 10, 54, 80], Operations: [] Exploring Operation: 72-10=62, Resulting Numbers: [54, 80, 62] Generated Node #2: [54, 80, 62] from Operation: 72-10=62 Current State: 88:[54, 80, 62], Operations: ['72-10=62'] Exploring Operation: 80-54=26, Resulting Numbers: [62, 26] Generated Node #3: [62, 26] from Operation: 80-54=26 Current State: 88:[62, 26], Operations: ['72-10=62', '80-54=26'] Exploring Operation: 62+26=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 26, 1, 51, 40 ]
20
[ "26*40=1040", "1+51=52", "1040/52=20" ]
Current State: 20:[26, 1, 51, 40], Operations: [] Exploring Operation: 26*40=1040, Resulting Numbers: [1, 51, 1040] Generated Node #2: [1, 51, 1040] from Operation: 26*40=1040 Current State: 20:[1, 51, 1040], Operations: ['26*40=1040'] Exploring Operation: 1+51=52, Resulting Numbers: [1040, 52] Generated Node #3: [1040, 52] from Operation: 1+51=52 Current State: 20:[1040, 52], Operations: ['26*40=1040', '1+51=52'] Exploring Operation: 1040/52=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 54, 24, 74, 16 ]
16
[ "54+74=128", "24-16=8", "128/8=16" ]
Current State: 16:[54, 24, 74, 16], Operations: [] Exploring Operation: 54+74=128, Resulting Numbers: [24, 16, 128] Generated Node #2: [24, 16, 128] from Operation: 54+74=128 Current State: 16:[24, 16, 128], Operations: ['54+74=128'] Exploring Operation: 24-16=8, Resulting Numbers: [128, 8] Generated Node #3: [128, 8] from Operation: 24-16=8 Current State: 16:[128, 8], Operations: ['54+74=128', '24-16=8'] Exploring Operation: 128/8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 17, 72, 51, 95 ]
99
[ "72-17=55", "95-51=44", "55+44=99" ]
Current State: 99:[17, 72, 51, 95], Operations: [] Exploring Operation: 72-17=55, Resulting Numbers: [51, 95, 55] Generated Node #2: [51, 95, 55] from Operation: 72-17=55 Current State: 99:[51, 95, 55], Operations: ['72-17=55'] Exploring Operation: 95-51=44, Resulting Numbers: [55, 44] Generated Node #3: [55, 44] from Operation: 95-51=44 Current State: 99:[55, 44], Operations: ['72-17=55', '95-51=44'] Exploring Operation: 55+44=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 20, 93, 4, 64 ]
53
[ "20+93=113", "64-4=60", "113-60=53" ]
Current State: 53:[20, 93, 4, 64], Operations: [] Exploring Operation: 20+93=113, Resulting Numbers: [4, 64, 113] Generated Node #2: [4, 64, 113] from Operation: 20+93=113 Current State: 53:[4, 64, 113], Operations: ['20+93=113'] Exploring Operation: 64-4=60, Resulting Numbers: [113, 60] Generated Node #3: [113, 60] from Operation: 64-4=60 Current State: 53:[113, 60], Operations: ['20+93=113', '64-4=60'] Exploring Operation: 113-60=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 4, 9, 23, 62 ]
59
[ "4+23=27", "27/9=3", "62-3=59" ]
Current State: 59:[4, 9, 23, 62], Operations: [] Exploring Operation: 4+23=27, Resulting Numbers: [9, 62, 27] Generated Node #2: [9, 62, 27] from Operation: 4+23=27 Current State: 59:[9, 62, 27], Operations: ['4+23=27'] Exploring Operation: 27/9=3, Resulting Numbers: [62, 3] Generated Node #3: [62, 3] from Operation: 27/9=3 Current State: 59:[62, 3], Operations: ['4+23=27', '27/9=3'] Exploring Operation: 62-3=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 20, 30, 20, 68 ]
72
[ "68-20=48", "30*48=1440", "1440/20=72" ]
Current State: 72:[20, 30, 20, 68], Operations: [] Exploring Operation: 68-20=48, Resulting Numbers: [30, 48] Generated Node #2: [30, 48] from Operation: 68-20=48 Current State: 72:[30, 48], Operations: ['68-20=48'] Exploring Operation: 30*48=1440, Resulting Numbers: [1440] 1440,72 equal: Goal Reached Exploring Operation: 1440/20=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 38, 61, 89, 88 ]
100
[ "38+61=99", "89-88=1", "99+1=100" ]
Current State: 100:[38, 61, 89, 88], Operations: [] Exploring Operation: 38+61=99, Resulting Numbers: [89, 88, 99] Generated Node #2: [89, 88, 99] from Operation: 38+61=99 Current State: 100:[89, 88, 99], Operations: ['38+61=99'] Exploring Operation: 89-88=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 89-88=1 Current State: 100:[99, 1], Operations: ['38+61=99', '89-88=1'] Exploring Operation: 99+1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 25, 2, 70, 2 ]
88
[ "70-25=45", "2*45=90", "90-2=88" ]
Current State: 88:[25, 2, 70, 2], Operations: [] Exploring Operation: 70-25=45, Resulting Numbers: [2, 2, 45] Generated Node #2: [2, 2, 45] from Operation: 70-25=45 Current State: 88:[2, 2, 45], Operations: ['70-25=45'] Exploring Operation: 2*45=90, Resulting Numbers: [90] 90,88 equal: Goal Reached Exploring Operation: 90-2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 2, 62, 6, 32 ]
18
[ "2*6=12", "62-32=30", "30-12=18" ]
Current State: 18:[2, 62, 6, 32], Operations: [] Exploring Operation: 2*6=12, Resulting Numbers: [62, 32, 12] Generated Node #2: [62, 32, 12] from Operation: 2*6=12 Current State: 18:[62, 32, 12], Operations: ['2*6=12'] Exploring Operation: 62-32=30, Resulting Numbers: [12, 30] Generated Node #3: [12, 30] from Operation: 62-32=30 Current State: 18:[12, 30], Operations: ['2*6=12', '62-32=30'] Exploring Operation: 30-12=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 66, 69, 87, 59 ]
88
[ "69-66=3", "87/3=29", "59+29=88" ]
Current State: 88:[66, 69, 87, 59], Operations: [] Exploring Operation: 69-66=3, Resulting Numbers: [87, 59, 3] Generated Node #2: [87, 59, 3] from Operation: 69-66=3 Current State: 88:[87, 59, 3], Operations: ['69-66=3'] Exploring Operation: 87/3=29, Resulting Numbers: [59, 29] Generated Node #3: [59, 29] from Operation: 87/3=29 Current State: 88:[59, 29], Operations: ['69-66=3', '87/3=29'] Exploring Operation: 59+29=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 40, 84, 61, 80 ]
17
[ "40+84=124", "61+80=141", "141-124=17" ]
Current State: 17:[40, 84, 61, 80], Operations: [] Exploring Operation: 40+84=124, Resulting Numbers: [61, 80, 124] Generated Node #2: [61, 80, 124] from Operation: 40+84=124 Current State: 17:[61, 80, 124], Operations: ['40+84=124'] Exploring Operation: 61+80=141, Resulting Numbers: [124, 141] Generated Node #3: [124, 141] from Operation: 61+80=141 Current State: 17:[124, 141], Operations: ['40+84=124', '61+80=141'] Exploring Operation: 141-124=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 27, 8, 19, 87 ]
22
[ "8+87=95", "95/19=5", "27-5=22" ]
Current State: 22:[27, 8, 19, 87], Operations: [] Exploring Operation: 8+87=95, Resulting Numbers: [27, 19, 95] Generated Node #2: [27, 19, 95] from Operation: 8+87=95 Current State: 22:[27, 19, 95], Operations: ['8+87=95'] Exploring Operation: 95/19=5, Resulting Numbers: [27, 5] Generated Node #3: [27, 5] from Operation: 95/19=5 Current State: 22:[27, 5], Operations: ['8+87=95', '95/19=5'] Exploring Operation: 27-5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 44, 89, 15, 51 ]
21
[ "89-44=45", "15+51=66", "66-45=21" ]
Current State: 21:[44, 89, 15, 51], Operations: [] Exploring Operation: 89-44=45, Resulting Numbers: [15, 51, 45] Generated Node #2: [15, 51, 45] from Operation: 89-44=45 Current State: 21:[15, 51, 45], Operations: ['89-44=45'] Exploring Operation: 15+51=66, Resulting Numbers: [45, 66] Generated Node #3: [45, 66] from Operation: 15+51=66 Current State: 21:[45, 66], Operations: ['89-44=45', '15+51=66'] Exploring Operation: 66-45=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 11, 82, 42, 2 ]
92
[ "82-11=71", "42/2=21", "71+21=92" ]
Current State: 92:[11, 82, 42, 2], Operations: [] Exploring Operation: 82-11=71, Resulting Numbers: [42, 2, 71] Generated Node #2: [42, 2, 71] from Operation: 82-11=71 Current State: 92:[42, 2, 71], Operations: ['82-11=71'] Exploring Operation: 42/2=21, Resulting Numbers: [71, 21] Generated Node #3: [71, 21] from Operation: 42/2=21 Current State: 92:[71, 21], Operations: ['82-11=71', '42/2=21'] Exploring Operation: 71+21=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 49, 65, 15, 10 ]
41
[ "65-49=16", "15+10=25", "16+25=41" ]
Current State: 41:[49, 65, 15, 10], Operations: [] Exploring Operation: 65-49=16, Resulting Numbers: [15, 10, 16] Generated Node #2: [15, 10, 16] from Operation: 65-49=16 Current State: 41:[15, 10, 16], Operations: ['65-49=16'] Exploring Operation: 15+10=25, Resulting Numbers: [16, 25] Generated Node #3: [16, 25] from Operation: 15+10=25 Current State: 41:[16, 25], Operations: ['65-49=16', '15+10=25'] Exploring Operation: 16+25=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 4, 1, 82, 29 ]
75
[ "29-1=28", "28/4=7", "82-7=75" ]
Current State: 75:[4, 1, 82, 29], Operations: [] Exploring Operation: 29-1=28, Resulting Numbers: [4, 82, 28] Generated Node #2: [4, 82, 28] from Operation: 29-1=28 Current State: 75:[4, 82, 28], Operations: ['29-1=28'] Exploring Operation: 28/4=7, Resulting Numbers: [82, 7] Generated Node #3: [82, 7] from Operation: 28/4=7 Current State: 75:[82, 7], Operations: ['29-1=28', '28/4=7'] Exploring Operation: 82-7=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 31, 84, 7, 54 ]
73
[ "31+54=85", "84/7=12", "85-12=73" ]
Current State: 73:[31, 84, 7, 54], Operations: [] Exploring Operation: 31+54=85, Resulting Numbers: [84, 7, 85] Generated Node #2: [84, 7, 85] from Operation: 31+54=85 Current State: 73:[84, 7, 85], Operations: ['31+54=85'] Exploring Operation: 84/7=12, Resulting Numbers: [85, 12] Generated Node #3: [85, 12] from Operation: 84/7=12 Current State: 73:[85, 12], Operations: ['31+54=85', '84/7=12'] Exploring Operation: 85-12=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 25, 76, 75, 82 ]
18
[ "75/25=3", "82-76=6", "3*6=18" ]
Current State: 18:[25, 76, 75, 82], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [76, 82, 3] Generated Node #2: [76, 82, 3] from Operation: 75/25=3 Current State: 18:[76, 82, 3], Operations: ['75/25=3'] Exploring Operation: 82-76=6, Resulting Numbers: [3, 6] Generated Node #3: [3, 6] from Operation: 82-76=6 Current State: 18:[3, 6], Operations: ['75/25=3', '82-76=6'] Exploring Operation: 3*6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 8, 20, 81, 63 ]
45
[ "81-63=18", "20*18=360", "360/8=45" ]
Current State: 45:[8, 20, 81, 63], Operations: [] Exploring Operation: 81-63=18, Resulting Numbers: [8, 20, 18] Generated Node #2: [8, 20, 18] from Operation: 81-63=18 Current State: 45:[8, 20, 18], Operations: ['81-63=18'] Exploring Operation: 20*18=360, Resulting Numbers: [8, 360] Generated Node #3: [8, 360] from Operation: 20*18=360 Current State: 45:[8, 360], Operations: ['81-63=18', '20*18=360'] Exploring Operation: 360/8=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 5, 24, 3, 2 ]
47
[ "24-3=21", "2*21=42", "5+42=47" ]
Current State: 47:[5, 24, 3, 2], Operations: [] Exploring Operation: 24-3=21, Resulting Numbers: [5, 2, 21] Generated Node #2: [5, 2, 21] from Operation: 24-3=21 Current State: 47:[5, 2, 21], Operations: ['24-3=21'] Exploring Operation: 2*21=42, Resulting Numbers: [5, 42] Generated Node #3: [5, 42] from Operation: 2*21=42 Current State: 47:[5, 42], Operations: ['24-3=21', '2*21=42'] Exploring Operation: 5+42=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 12, 17, 59, 94 ]
21
[ "59+94=153", "153/17=9", "12+9=21" ]
Current State: 21:[12, 17, 59, 94], Operations: [] Exploring Operation: 59+94=153, Resulting Numbers: [12, 17, 153] Generated Node #2: [12, 17, 153] from Operation: 59+94=153 Current State: 21:[12, 17, 153], Operations: ['59+94=153'] Exploring Operation: 153/17=9, Resulting Numbers: [12, 9] Generated Node #3: [12, 9] from Operation: 153/17=9 Current State: 21:[12, 9], Operations: ['59+94=153', '153/17=9'] Exploring Operation: 12+9=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 72, 31, 38, 36 ]
62
[ "72-38=34", "36-34=2", "31*2=62" ]
Current State: 62:[72, 31, 38, 36], Operations: [] Exploring Operation: 72-38=34, Resulting Numbers: [31, 36, 34] Generated Node #2: [31, 36, 34] from Operation: 72-38=34 Current State: 62:[31, 36, 34], Operations: ['72-38=34'] Exploring Operation: 36-34=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 36-34=2 Current State: 62:[31, 2], Operations: ['72-38=34', '36-34=2'] Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 36, 49, 64, 60 ]
95
[ "64-60=4", "36*4=144", "144-49=95" ]
Current State: 95:[36, 49, 64, 60], Operations: [] Exploring Operation: 64-60=4, Resulting Numbers: [36, 49, 4] Generated Node #2: [36, 49, 4] from Operation: 64-60=4 Current State: 95:[36, 49, 4], Operations: ['64-60=4'] Exploring Operation: 36*4=144, Resulting Numbers: [49, 144] Generated Node #3: [49, 144] from Operation: 36*4=144 Current State: 95:[49, 144], Operations: ['64-60=4', '36*4=144'] Exploring Operation: 144-49=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 10, 73, 15, 87 ]
39
[ "73-10=63", "15+87=102", "102-63=39" ]
Current State: 39:[10, 73, 15, 87], Operations: [] Exploring Operation: 73-10=63, Resulting Numbers: [15, 87, 63] Generated Node #2: [15, 87, 63] from Operation: 73-10=63 Current State: 39:[15, 87, 63], Operations: ['73-10=63'] Exploring Operation: 15+87=102, Resulting Numbers: [63, 102] Generated Node #3: [63, 102] from Operation: 15+87=102 Current State: 39:[63, 102], Operations: ['73-10=63', '15+87=102'] Exploring Operation: 102-63=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 66, 62, 19, 89 ]
27
[ "66-62=4", "19+89=108", "108/4=27" ]
Current State: 27:[66, 62, 19, 89], Operations: [] Exploring Operation: 66-62=4, Resulting Numbers: [19, 89, 4] Generated Node #2: [19, 89, 4] from Operation: 66-62=4 Current State: 27:[19, 89, 4], Operations: ['66-62=4'] Exploring Operation: 19+89=108, Resulting Numbers: [4, 108] Generated Node #3: [4, 108] from Operation: 19+89=108 Current State: 27:[4, 108], Operations: ['66-62=4', '19+89=108'] Exploring Operation: 108/4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 84, 42, 24, 8 ]
74
[ "84-42=42", "24+8=32", "42+32=74" ]
Current State: 74:[84, 42, 24, 8], Operations: [] Exploring Operation: 84-42=42, Resulting Numbers: [24, 8, 42] Generated Node #2: [24, 8, 42] from Operation: 84-42=42 Current State: 74:[24, 8, 42], Operations: ['84-42=42'] Exploring Operation: 24+8=32, Resulting Numbers: [42, 32] Generated Node #3: [42, 32] from Operation: 24+8=32 Current State: 74:[42, 32], Operations: ['84-42=42', '24+8=32'] Exploring Operation: 42+32=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 8, 48, 16, 27 ]
57
[ "27-8=19", "48/16=3", "19*3=57" ]
Current State: 57:[8, 48, 16, 27], Operations: [] Exploring Operation: 27-8=19, Resulting Numbers: [48, 16, 19] Generated Node #2: [48, 16, 19] from Operation: 27-8=19 Current State: 57:[48, 16, 19], Operations: ['27-8=19'] Exploring Operation: 48/16=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 48/16=3 Current State: 57:[19, 3], Operations: ['27-8=19', '48/16=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 79, 2, 65, 7 ]
23
[ "79+2=81", "65-7=58", "81-58=23" ]
Current State: 23:[79, 2, 65, 7], Operations: [] Exploring Operation: 79+2=81, Resulting Numbers: [65, 7, 81] Generated Node #2: [65, 7, 81] from Operation: 79+2=81 Current State: 23:[65, 7, 81], Operations: ['79+2=81'] Exploring Operation: 65-7=58, Resulting Numbers: [81, 58] Generated Node #3: [81, 58] from Operation: 65-7=58 Current State: 23:[81, 58], Operations: ['79+2=81', '65-7=58'] Exploring Operation: 81-58=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 89, 7, 86, 46 ]
25
[ "89-86=3", "7*3=21", "46-21=25" ]
Current State: 25:[89, 7, 86, 46], Operations: [] Exploring Operation: 89-86=3, Resulting Numbers: [7, 46, 3] Generated Node #2: [7, 46, 3] from Operation: 89-86=3 Current State: 25:[7, 46, 3], Operations: ['89-86=3'] Exploring Operation: 7*3=21, Resulting Numbers: [46, 21] Generated Node #3: [46, 21] from Operation: 7*3=21 Current State: 25:[46, 21], Operations: ['89-86=3', '7*3=21'] Exploring Operation: 46-21=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 62, 64, 16, 80 ]
56
[ "64-62=2", "80/2=40", "16+40=56" ]
Current State: 56:[62, 64, 16, 80], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [16, 80, 2] Generated Node #2: [16, 80, 2] from Operation: 64-62=2 Current State: 56:[16, 80, 2], Operations: ['64-62=2'] Exploring Operation: 80/2=40, Resulting Numbers: [16, 40] Generated Node #3: [16, 40] from Operation: 80/2=40 Current State: 56:[16, 40], Operations: ['64-62=2', '80/2=40'] Exploring Operation: 16+40=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 62, 60, 25, 86 ]
36
[ "62-60=2", "25*2=50", "86-50=36" ]
Current State: 36:[62, 60, 25, 86], Operations: [] Exploring Operation: 62-60=2, Resulting Numbers: [25, 86, 2] Generated Node #2: [25, 86, 2] from Operation: 62-60=2 Current State: 36:[25, 86, 2], Operations: ['62-60=2'] Exploring Operation: 25*2=50, Resulting Numbers: [86, 50] Generated Node #3: [86, 50] from Operation: 25*2=50 Current State: 36:[86, 50], Operations: ['62-60=2', '25*2=50'] Exploring Operation: 86-50=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 47, 57, 8, 87 ]
89
[ "57-47=10", "87-8=79", "10+79=89" ]
Current State: 89:[47, 57, 8, 87], Operations: [] Exploring Operation: 57-47=10, Resulting Numbers: [8, 87, 10] Generated Node #2: [8, 87, 10] from Operation: 57-47=10 Current State: 89:[8, 87, 10], Operations: ['57-47=10'] Exploring Operation: 87-8=79, Resulting Numbers: [10, 79] Generated Node #3: [10, 79] from Operation: 87-8=79 Current State: 89:[10, 79], Operations: ['57-47=10', '87-8=79'] Exploring Operation: 10+79=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 10, 8, 38, 39 ]
81
[ "10*8=80", "39-38=1", "80+1=81" ]
Current State: 81:[10, 8, 38, 39], Operations: [] Exploring Operation: 10*8=80, Resulting Numbers: [38, 39, 80] Generated Node #2: [38, 39, 80] from Operation: 10*8=80 Current State: 81:[38, 39, 80], Operations: ['10*8=80'] Exploring Operation: 39-38=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 39-38=1 Current State: 81:[80, 1], Operations: ['10*8=80', '39-38=1'] Exploring Operation: 80+1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 3, 43, 92, 53 ]
12
[ "92-43=49", "53-49=4", "3*4=12" ]
Current State: 12:[3, 43, 92, 53], Operations: [] Exploring Operation: 92-43=49, Resulting Numbers: [3, 53, 49] Generated Node #2: [3, 53, 49] from Operation: 92-43=49 Current State: 12:[3, 53, 49], Operations: ['92-43=49'] Exploring Operation: 53-49=4, Resulting Numbers: [3, 4] Generated Node #3: [3, 4] from Operation: 53-49=4 Current State: 12:[3, 4], Operations: ['92-43=49', '53-49=4'] Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 6, 4, 12, 3 ]
72
[ "6-4=2", "12*3=36", "2*36=72" ]
Current State: 72:[6, 4, 12, 3], Operations: [] Exploring Operation: 6-4=2, Resulting Numbers: [12, 3, 2] Generated Node #2: [12, 3, 2] from Operation: 6-4=2 Current State: 72:[12, 3, 2], Operations: ['6-4=2'] Exploring Operation: 12*3=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 12*3=36 Current State: 72:[2, 36], Operations: ['6-4=2', '12*3=36'] Exploring Operation: 2*36=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 73, 45, 49, 52 ]
84
[ "73-45=28", "52-49=3", "28*3=84" ]
Current State: 84:[73, 45, 49, 52], Operations: [] Exploring Operation: 73-45=28, Resulting Numbers: [49, 52, 28] Generated Node #2: [49, 52, 28] from Operation: 73-45=28 Current State: 84:[49, 52, 28], Operations: ['73-45=28'] Exploring Operation: 52-49=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 52-49=3 Current State: 84:[28, 3], Operations: ['73-45=28', '52-49=3'] Exploring Operation: 28*3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 81, 69, 39, 66 ]
93
[ "81-69=12", "39+66=105", "105-12=93" ]
Current State: 93:[81, 69, 39, 66], Operations: [] Exploring Operation: 81-69=12, Resulting Numbers: [39, 66, 12] Generated Node #2: [39, 66, 12] from Operation: 81-69=12 Current State: 93:[39, 66, 12], Operations: ['81-69=12'] Exploring Operation: 39+66=105, Resulting Numbers: [12, 105] Generated Node #3: [12, 105] from Operation: 39+66=105 Current State: 93:[12, 105], Operations: ['81-69=12', '39+66=105'] Exploring Operation: 105-12=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 63, 93, 10, 10 ]
93
[ "10-10=0", "63*0=0", "93+0=93" ]
Current State: 93:[63, 93, 10, 10], Operations: [] Exploring Operation: 10-10=0, Resulting Numbers: [63, 93, 0] Generated Node #2: [63, 93, 0] from Operation: 10-10=0 Current State: 93:[63, 93, 0], Operations: ['10-10=0'] Exploring Operation: 63*0=0, Resulting Numbers: [93, 0] Generated Node #3: [93, 0] from Operation: 63*0=0 Current State: 93:[93, 0], Operations: ['10-10=0', '63*0=0'] Exploring Operation: 93+0=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 38, 45, 48, 35 ]
43
[ "45-38=7", "35/7=5", "48-5=43" ]
Current State: 43:[38, 45, 48, 35], Operations: [] Exploring Operation: 45-38=7, Resulting Numbers: [48, 35, 7] Generated Node #2: [48, 35, 7] from Operation: 45-38=7 Current State: 43:[48, 35, 7], Operations: ['45-38=7'] Exploring Operation: 35/7=5, Resulting Numbers: [48, 5] Generated Node #3: [48, 5] from Operation: 35/7=5 Current State: 43:[48, 5], Operations: ['45-38=7', '35/7=5'] Exploring Operation: 48-5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 15, 41, 25, 4 ]
79
[ "41-15=26", "4*26=104", "104-25=79" ]
Current State: 79:[15, 41, 25, 4], Operations: [] Exploring Operation: 41-15=26, Resulting Numbers: [25, 4, 26] Generated Node #2: [25, 4, 26] from Operation: 41-15=26 Current State: 79:[25, 4, 26], Operations: ['41-15=26'] Exploring Operation: 4*26=104, Resulting Numbers: [25, 104] Generated Node #3: [25, 104] from Operation: 4*26=104 Current State: 79:[25, 104], Operations: ['41-15=26', '4*26=104'] Exploring Operation: 104-25=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 78, 45, 98, 66 ]
41
[ "78+45=123", "98+66=164", "164-123=41" ]
Current State: 41:[78, 45, 98, 66], Operations: [] Exploring Operation: 78+45=123, Resulting Numbers: [98, 66, 123] Generated Node #2: [98, 66, 123] from Operation: 78+45=123 Current State: 41:[98, 66, 123], Operations: ['78+45=123'] Exploring Operation: 98+66=164, Resulting Numbers: [123, 164] Generated Node #3: [123, 164] from Operation: 98+66=164 Current State: 41:[123, 164], Operations: ['78+45=123', '98+66=164'] Exploring Operation: 164-123=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 12, 36, 86, 33 ]
75
[ "36/12=3", "33/3=11", "86-11=75" ]
Current State: 75:[12, 36, 86, 33], Operations: [] Exploring Operation: 36/12=3, Resulting Numbers: [86, 33, 3] Generated Node #2: [86, 33, 3] from Operation: 36/12=3 Current State: 75:[86, 33, 3], Operations: ['36/12=3'] Exploring Operation: 33/3=11, Resulting Numbers: [86, 11] Generated Node #3: [86, 11] from Operation: 33/3=11 Current State: 75:[86, 11], Operations: ['36/12=3', '33/3=11'] Exploring Operation: 86-11=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 42, 68, 98, 2 ]
22
[ "98-42=56", "68/2=34", "56-34=22" ]
Current State: 22:[42, 68, 98, 2], Operations: [] Exploring Operation: 98-42=56, Resulting Numbers: [68, 2, 56] Generated Node #2: [68, 2, 56] from Operation: 98-42=56 Current State: 22:[68, 2, 56], Operations: ['98-42=56'] Exploring Operation: 68/2=34, Resulting Numbers: [56, 34] Generated Node #3: [56, 34] from Operation: 68/2=34 Current State: 22:[56, 34], Operations: ['98-42=56', '68/2=34'] Exploring Operation: 56-34=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 43, 82, 60, 81 ]
17
[ "60-43=17", "82-81=1", "17*1=17" ]
Current State: 17:[43, 82, 60, 81], Operations: [] Exploring Operation: 60-43=17, Resulting Numbers: [82, 81, 17] Generated Node #2: [82, 81, 17] from Operation: 60-43=17 Current State: 17:[82, 81, 17], Operations: ['60-43=17'] Exploring Operation: 82-81=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 82-81=1 Current State: 17:[17, 1], Operations: ['60-43=17', '82-81=1'] Exploring Operation: 17*1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 80, 13, 21, 52 ]
55
[ "80-21=59", "52/13=4", "59-4=55" ]
Current State: 55:[80, 13, 21, 52], Operations: [] Exploring Operation: 80-21=59, Resulting Numbers: [13, 52, 59] Generated Node #2: [13, 52, 59] from Operation: 80-21=59 Current State: 55:[13, 52, 59], Operations: ['80-21=59'] Exploring Operation: 52/13=4, Resulting Numbers: [59, 4] Generated Node #3: [59, 4] from Operation: 52/13=4 Current State: 55:[59, 4], Operations: ['80-21=59', '52/13=4'] Exploring Operation: 59-4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 4, 64, 3, 34 ]
75
[ "4*34=136", "64-3=61", "136-61=75" ]
Current State: 75:[4, 64, 3, 34], Operations: [] Exploring Operation: 4*34=136, Resulting Numbers: [64, 3, 136] Generated Node #2: [64, 3, 136] from Operation: 4*34=136 Current State: 75:[64, 3, 136], Operations: ['4*34=136'] Exploring Operation: 64-3=61, Resulting Numbers: [136, 61] Generated Node #3: [136, 61] from Operation: 64-3=61 Current State: 75:[136, 61], Operations: ['4*34=136', '64-3=61'] Exploring Operation: 136-61=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 48, 27, 59, 42 ]
92
[ "48+27=75", "59-42=17", "75+17=92" ]
Current State: 92:[48, 27, 59, 42], Operations: [] Exploring Operation: 48+27=75, Resulting Numbers: [59, 42, 75] Generated Node #2: [59, 42, 75] from Operation: 48+27=75 Current State: 92:[59, 42, 75], Operations: ['48+27=75'] Exploring Operation: 59-42=17, Resulting Numbers: [75, 17] Generated Node #3: [75, 17] from Operation: 59-42=17 Current State: 92:[75, 17], Operations: ['48+27=75', '59-42=17'] Exploring Operation: 75+17=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 44, 79, 1, 2 ]
62
[ "44+79=123", "1+123=124", "124/2=62" ]
Current State: 62:[44, 79, 1, 2], Operations: [] Exploring Operation: 44+79=123, Resulting Numbers: [1, 2, 123] Generated Node #2: [1, 2, 123] from Operation: 44+79=123 Current State: 62:[1, 2, 123], Operations: ['44+79=123'] Exploring Operation: 1+123=124, Resulting Numbers: [2, 124] Generated Node #3: [2, 124] from Operation: 1+123=124 Current State: 62:[2, 124], Operations: ['44+79=123', '1+123=124'] Exploring Operation: 124/2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 39, 80, 51, 13 ]
26
[ "39/13=3", "80-51=29", "29-3=26" ]
Current State: 26:[39, 80, 51, 13], Operations: [] Exploring Operation: 39/13=3, Resulting Numbers: [80, 51, 3] Generated Node #2: [80, 51, 3] from Operation: 39/13=3 Current State: 26:[80, 51, 3], Operations: ['39/13=3'] Exploring Operation: 80-51=29, Resulting Numbers: [3, 29] Generated Node #3: [3, 29] from Operation: 80-51=29 Current State: 26:[3, 29], Operations: ['39/13=3', '80-51=29'] Exploring Operation: 29-3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 20, 8, 55, 73 ]
51
[ "8*55=440", "440/20=22", "73-22=51" ]
Current State: 51:[20, 8, 55, 73], Operations: [] Exploring Operation: 8*55=440, Resulting Numbers: [20, 73, 440] Generated Node #2: [20, 73, 440] from Operation: 8*55=440 Current State: 51:[20, 73, 440], Operations: ['8*55=440'] Exploring Operation: 440/20=22, Resulting Numbers: [73, 22] Generated Node #3: [73, 22] from Operation: 440/20=22 Current State: 51:[73, 22], Operations: ['8*55=440', '440/20=22'] Exploring Operation: 73-22=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 9, 71, 26, 3 ]
24
[ "71-26=45", "45/3=15", "9+15=24" ]
Current State: 24:[9, 71, 26, 3], Operations: [] Exploring Operation: 71-26=45, Resulting Numbers: [9, 3, 45] Generated Node #2: [9, 3, 45] from Operation: 71-26=45 Current State: 24:[9, 3, 45], Operations: ['71-26=45'] Exploring Operation: 45/3=15, Resulting Numbers: [9, 15] Generated Node #3: [9, 15] from Operation: 45/3=15 Current State: 24:[9, 15], Operations: ['71-26=45', '45/3=15'] Exploring Operation: 9+15=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 78, 85, 83, 30 ]
60
[ "85-78=7", "83-30=53", "7+53=60" ]
Current State: 60:[78, 85, 83, 30], Operations: [] Exploring Operation: 85-78=7, Resulting Numbers: [83, 30, 7] Generated Node #2: [83, 30, 7] from Operation: 85-78=7 Current State: 60:[83, 30, 7], Operations: ['85-78=7'] Exploring Operation: 83-30=53, Resulting Numbers: [7, 53] Generated Node #3: [7, 53] from Operation: 83-30=53 Current State: 60:[7, 53], Operations: ['85-78=7', '83-30=53'] Exploring Operation: 7+53=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 37, 21, 43, 76 ]
17
[ "37-21=16", "76-43=33", "33-16=17" ]
Current State: 17:[37, 21, 43, 76], Operations: [] Exploring Operation: 37-21=16, Resulting Numbers: [43, 76, 16] Generated Node #2: [43, 76, 16] from Operation: 37-21=16 Current State: 17:[43, 76, 16], Operations: ['37-21=16'] Exploring Operation: 76-43=33, Resulting Numbers: [16, 33] Generated Node #3: [16, 33] from Operation: 76-43=33 Current State: 17:[16, 33], Operations: ['37-21=16', '76-43=33'] Exploring Operation: 33-16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 5, 51, 18, 45 ]
49
[ "5*18=90", "90/45=2", "51-2=49" ]
Current State: 49:[5, 51, 18, 45], Operations: [] Exploring Operation: 5*18=90, Resulting Numbers: [51, 45, 90] Generated Node #2: [51, 45, 90] from Operation: 5*18=90 Current State: 49:[51, 45, 90], Operations: ['5*18=90'] Exploring Operation: 90/45=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 90/45=2 Current State: 49:[51, 2], Operations: ['5*18=90', '90/45=2'] Exploring Operation: 51-2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 13, 75, 93, 91 ]
25
[ "91/13=7", "93-75=18", "7+18=25" ]
Current State: 25:[13, 75, 93, 91], Operations: [] Exploring Operation: 91/13=7, Resulting Numbers: [75, 93, 7] Generated Node #2: [75, 93, 7] from Operation: 91/13=7 Current State: 25:[75, 93, 7], Operations: ['91/13=7'] Exploring Operation: 93-75=18, Resulting Numbers: [7, 18] Generated Node #3: [7, 18] from Operation: 93-75=18 Current State: 25:[7, 18], Operations: ['91/13=7', '93-75=18'] Exploring Operation: 7+18=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 80, 43, 91, 56 ]
88
[ "80+43=123", "91-56=35", "123-35=88" ]
Current State: 88:[80, 43, 91, 56], Operations: [] Exploring Operation: 80+43=123, Resulting Numbers: [91, 56, 123] Generated Node #2: [91, 56, 123] from Operation: 80+43=123 Current State: 88:[91, 56, 123], Operations: ['80+43=123'] Exploring Operation: 91-56=35, Resulting Numbers: [123, 35] Generated Node #3: [123, 35] from Operation: 91-56=35 Current State: 88:[123, 35], Operations: ['80+43=123', '91-56=35'] Exploring Operation: 123-35=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 12, 32, 10, 40 ]
24
[ "32-12=20", "40/10=4", "20+4=24" ]
Current State: 24:[12, 32, 10, 40], Operations: [] Exploring Operation: 32-12=20, Resulting Numbers: [10, 40, 20] Generated Node #2: [10, 40, 20] from Operation: 32-12=20 Current State: 24:[10, 40, 20], Operations: ['32-12=20'] Exploring Operation: 40/10=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 40/10=4 Current State: 24:[20, 4], Operations: ['32-12=20', '40/10=4'] Exploring Operation: 20+4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 40, 86, 23, 2 ]
67
[ "86-40=46", "23-2=21", "46+21=67" ]
Current State: 67:[40, 86, 23, 2], Operations: [] Exploring Operation: 86-40=46, Resulting Numbers: [23, 2, 46] Generated Node #2: [23, 2, 46] from Operation: 86-40=46 Current State: 67:[23, 2, 46], Operations: ['86-40=46'] Exploring Operation: 23-2=21, Resulting Numbers: [46, 21] Generated Node #3: [46, 21] from Operation: 23-2=21 Current State: 67:[46, 21], Operations: ['86-40=46', '23-2=21'] Exploring Operation: 46+21=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 6, 94, 17, 34 ]
82
[ "6*34=204", "204/17=12", "94-12=82" ]
Current State: 82:[6, 94, 17, 34], Operations: [] Exploring Operation: 6*34=204, Resulting Numbers: [94, 17, 204] Generated Node #2: [94, 17, 204] from Operation: 6*34=204 Current State: 82:[94, 17, 204], Operations: ['6*34=204'] Exploring Operation: 204/17=12, Resulting Numbers: [94, 12] Generated Node #3: [94, 12] from Operation: 204/17=12 Current State: 82:[94, 12], Operations: ['6*34=204', '204/17=12'] Exploring Operation: 94-12=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 53, 55, 3, 19 ]
55
[ "53+55=108", "108/3=36", "19+36=55" ]
Current State: 55:[53, 55, 3, 19], Operations: [] Exploring Operation: 53+55=108, Resulting Numbers: [3, 19, 108] Generated Node #2: [3, 19, 108] from Operation: 53+55=108 Current State: 55:[3, 19, 108], Operations: ['53+55=108'] Exploring Operation: 108/3=36, Resulting Numbers: [19, 36] Generated Node #3: [19, 36] from Operation: 108/3=36 Current State: 55:[19, 36], Operations: ['53+55=108', '108/3=36'] Exploring Operation: 19+36=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 15, 92, 58, 82 ]
18
[ "92+82=174", "174/58=3", "15+3=18" ]
Current State: 18:[15, 92, 58, 82], Operations: [] Exploring Operation: 92+82=174, Resulting Numbers: [15, 58, 174] Generated Node #2: [15, 58, 174] from Operation: 92+82=174 Current State: 18:[15, 58, 174], Operations: ['92+82=174'] Exploring Operation: 174/58=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 174/58=3 Current State: 18:[15, 3], Operations: ['92+82=174', '174/58=3'] Exploring Operation: 15+3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 13, 34, 68, 91 ]
24
[ "13+34=47", "91-68=23", "47-23=24" ]
Current State: 24:[13, 34, 68, 91], Operations: [] Exploring Operation: 13+34=47, Resulting Numbers: [68, 91, 47] Generated Node #2: [68, 91, 47] from Operation: 13+34=47 Current State: 24:[68, 91, 47], Operations: ['13+34=47'] Exploring Operation: 91-68=23, Resulting Numbers: [47, 23] Generated Node #3: [47, 23] from Operation: 91-68=23 Current State: 24:[47, 23], Operations: ['13+34=47', '91-68=23'] Exploring Operation: 47-23=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 77, 86, 82, 4 ]
95
[ "86-77=9", "82+4=86", "9+86=95" ]
Current State: 95:[77, 86, 82, 4], Operations: [] Exploring Operation: 86-77=9, Resulting Numbers: [82, 4, 9] Generated Node #2: [82, 4, 9] from Operation: 86-77=9 Current State: 95:[82, 4, 9], Operations: ['86-77=9'] Exploring Operation: 82+4=86, Resulting Numbers: [9, 86] Generated Node #3: [9, 86] from Operation: 82+4=86 Current State: 95:[9, 86], Operations: ['86-77=9', '82+4=86'] Exploring Operation: 9+86=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 63, 41, 3, 76 ]
72
[ "63*3=189", "41+76=117", "189-117=72" ]
Current State: 72:[63, 41, 3, 76], Operations: [] Exploring Operation: 63*3=189, Resulting Numbers: [41, 76, 189] Generated Node #2: [41, 76, 189] from Operation: 63*3=189 Current State: 72:[41, 76, 189], Operations: ['63*3=189'] Exploring Operation: 41+76=117, Resulting Numbers: [189, 117] Generated Node #3: [189, 117] from Operation: 41+76=117 Current State: 72:[189, 117], Operations: ['63*3=189', '41+76=117'] Exploring Operation: 189-117=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 78, 89, 97, 51 ]
57
[ "89-78=11", "97-51=46", "11+46=57" ]
Current State: 57:[78, 89, 97, 51], Operations: [] Exploring Operation: 89-78=11, Resulting Numbers: [97, 51, 11] Generated Node #2: [97, 51, 11] from Operation: 89-78=11 Current State: 57:[97, 51, 11], Operations: ['89-78=11'] Exploring Operation: 97-51=46, Resulting Numbers: [11, 46] Generated Node #3: [11, 46] from Operation: 97-51=46 Current State: 57:[11, 46], Operations: ['89-78=11', '97-51=46'] Exploring Operation: 11+46=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 58, 38, 50, 22 ]
100
[ "58-38=20", "22-20=2", "50*2=100" ]
Current State: 100:[58, 38, 50, 22], Operations: [] Exploring Operation: 58-38=20, Resulting Numbers: [50, 22, 20] Generated Node #2: [50, 22, 20] from Operation: 58-38=20 Current State: 100:[50, 22, 20], Operations: ['58-38=20'] Exploring Operation: 22-20=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 22-20=2 Current State: 100:[50, 2], Operations: ['58-38=20', '22-20=2'] Exploring Operation: 50*2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 53, 63, 10, 37 ]
38
[ "63-53=10", "10/10=1", "37+1=38" ]
Current State: 38:[53, 63, 10, 37], Operations: [] Exploring Operation: 63-53=10, Resulting Numbers: [10, 37, 10] Generated Node #2: [10, 37, 10] from Operation: 63-53=10 Current State: 38:[10, 37, 10], Operations: ['63-53=10'] Exploring Operation: 10/10=1, Resulting Numbers: [37, 1] Generated Node #3: [37, 1] from Operation: 10/10=1 Current State: 38:[37, 1], Operations: ['63-53=10', '10/10=1'] Exploring Operation: 37+1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 19, 57, 52, 10 ]
95
[ "57-52=5", "10-5=5", "19*5=95" ]
Current State: 95:[19, 57, 52, 10], Operations: [] Exploring Operation: 57-52=5, Resulting Numbers: [19, 10, 5] Generated Node #2: [19, 10, 5] from Operation: 57-52=5 Current State: 95:[19, 10, 5], Operations: ['57-52=5'] Exploring Operation: 10-5=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 10-5=5 Current State: 95:[19, 5], Operations: ['57-52=5', '10-5=5'] Exploring Operation: 19*5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 49, 24, 65, 40 ]
98
[ "49+24=73", "65-40=25", "73+25=98" ]
Current State: 98:[49, 24, 65, 40], Operations: [] Exploring Operation: 49+24=73, Resulting Numbers: [65, 40, 73] Generated Node #2: [65, 40, 73] from Operation: 49+24=73 Current State: 98:[65, 40, 73], Operations: ['49+24=73'] Exploring Operation: 65-40=25, Resulting Numbers: [73, 25] Generated Node #3: [73, 25] from Operation: 65-40=25 Current State: 98:[73, 25], Operations: ['49+24=73', '65-40=25'] Exploring Operation: 73+25=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 85, 16, 16, 38 ]
47
[ "85+16=101", "16+38=54", "101-54=47" ]
Current State: 47:[85, 16, 16, 38], Operations: [] Exploring Operation: 85+16=101, Resulting Numbers: [38, 101] Generated Node #2: [38, 101] from Operation: 85+16=101 Current State: 47:[38, 101], Operations: ['85+16=101'] Exploring Operation: 16+38=54, Resulting Numbers: [101, 54] Generated Node #3: [101, 54] from Operation: 16+38=54 Current State: 47:[101, 54], Operations: ['85+16=101', '16+38=54'] Exploring Operation: 101-54=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 3, 63, 44, 9 ]
57
[ "9/3=3", "63-44=19", "3*19=57" ]
Current State: 57:[3, 63, 44, 9], Operations: [] Exploring Operation: 9/3=3, Resulting Numbers: [63, 44, 3] Generated Node #2: [63, 44, 3] from Operation: 9/3=3 Current State: 57:[63, 44, 3], Operations: ['9/3=3'] Exploring Operation: 63-44=19, Resulting Numbers: [3, 19] Generated Node #3: [3, 19] from Operation: 63-44=19 Current State: 57:[3, 19], Operations: ['9/3=3', '63-44=19'] Exploring Operation: 3*19=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 78, 62, 72, 93 ]
25
[ "78+62=140", "72+93=165", "165-140=25" ]
Current State: 25:[78, 62, 72, 93], Operations: [] Exploring Operation: 78+62=140, Resulting Numbers: [72, 93, 140] Generated Node #2: [72, 93, 140] from Operation: 78+62=140 Current State: 25:[72, 93, 140], Operations: ['78+62=140'] Exploring Operation: 72+93=165, Resulting Numbers: [140, 165] Generated Node #3: [140, 165] from Operation: 72+93=165 Current State: 25:[140, 165], Operations: ['78+62=140', '72+93=165'] Exploring Operation: 165-140=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 79, 87, 56, 49 ]
56
[ "87-79=8", "56-49=7", "8*7=56" ]
Current State: 56:[79, 87, 56, 49], Operations: [] Exploring Operation: 87-79=8, Resulting Numbers: [56, 49, 8] Generated Node #2: [56, 49, 8] from Operation: 87-79=8 Current State: 56:[56, 49, 8], Operations: ['87-79=8'] Exploring Operation: 56-49=7, Resulting Numbers: [8, 7] Generated Node #3: [8, 7] from Operation: 56-49=7 Current State: 56:[8, 7], Operations: ['87-79=8', '56-49=7'] Exploring Operation: 8*7=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 24, 56, 40, 88 ]
38
[ "24+88=112", "112/56=2", "40-2=38" ]
Current State: 38:[24, 56, 40, 88], Operations: [] Exploring Operation: 24+88=112, Resulting Numbers: [56, 40, 112] Generated Node #2: [56, 40, 112] from Operation: 24+88=112 Current State: 38:[56, 40, 112], Operations: ['24+88=112'] Exploring Operation: 112/56=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 112/56=2 Current State: 38:[40, 2], Operations: ['24+88=112', '112/56=2'] Exploring Operation: 40-2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 69, 50, 9, 5 ]
22
[ "69+50=119", "119-9=110", "110/5=22" ]
Current State: 22:[69, 50, 9, 5], Operations: [] Exploring Operation: 69+50=119, Resulting Numbers: [9, 5, 119] Generated Node #2: [9, 5, 119] from Operation: 69+50=119 Current State: 22:[9, 5, 119], Operations: ['69+50=119'] Exploring Operation: 119-9=110, Resulting Numbers: [5, 110] Generated Node #3: [5, 110] from Operation: 119-9=110 Current State: 22:[5, 110], Operations: ['69+50=119', '119-9=110'] Exploring Operation: 110/5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 82, 48, 45, 1 ]
80
[ "82-48=34", "45+1=46", "34+46=80" ]
Current State: 80:[82, 48, 45, 1], Operations: [] Exploring Operation: 82-48=34, Resulting Numbers: [45, 1, 34] Generated Node #2: [45, 1, 34] from Operation: 82-48=34 Current State: 80:[45, 1, 34], Operations: ['82-48=34'] Exploring Operation: 45+1=46, Resulting Numbers: [34, 46] Generated Node #3: [34, 46] from Operation: 45+1=46 Current State: 80:[34, 46], Operations: ['82-48=34', '45+1=46'] Exploring Operation: 34+46=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 91, 90, 47, 60 ]
92
[ "91+47=138", "60*138=8280", "8280/90=92" ]
Current State: 92:[91, 90, 47, 60], Operations: [] Exploring Operation: 91+47=138, Resulting Numbers: [90, 60, 138] Generated Node #2: [90, 60, 138] from Operation: 91+47=138 Current State: 92:[90, 60, 138], Operations: ['91+47=138'] Exploring Operation: 60*138=8280, Resulting Numbers: [90, 8280] Generated Node #3: [90, 8280] from Operation: 60*138=8280 Current State: 92:[90, 8280], Operations: ['91+47=138', '60*138=8280'] Exploring Operation: 8280/90=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 30, 23, 89, 70 ]
79
[ "30-23=7", "70/7=10", "89-10=79" ]
Current State: 79:[30, 23, 89, 70], Operations: [] Exploring Operation: 30-23=7, Resulting Numbers: [89, 70, 7] Generated Node #2: [89, 70, 7] from Operation: 30-23=7 Current State: 79:[89, 70, 7], Operations: ['30-23=7'] Exploring Operation: 70/7=10, Resulting Numbers: [89, 10] Generated Node #3: [89, 10] from Operation: 70/7=10 Current State: 79:[89, 10], Operations: ['30-23=7', '70/7=10'] Exploring Operation: 89-10=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 74, 77, 2, 34 ]
57
[ "74-34=40", "40/2=20", "77-20=57" ]
Current State: 57:[74, 77, 2, 34], Operations: [] Exploring Operation: 74-34=40, Resulting Numbers: [77, 2, 40] Generated Node #2: [77, 2, 40] from Operation: 74-34=40 Current State: 57:[77, 2, 40], Operations: ['74-34=40'] Exploring Operation: 40/2=20, Resulting Numbers: [77, 20] Generated Node #3: [77, 20] from Operation: 40/2=20 Current State: 57:[77, 20], Operations: ['74-34=40', '40/2=20'] Exploring Operation: 77-20=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 68, 34, 17, 40 ]
38
[ "68-34=34", "34/17=2", "40-2=38" ]
Current State: 38:[68, 34, 17, 40], Operations: [] Exploring Operation: 68-34=34, Resulting Numbers: [17, 40, 34] Generated Node #2: [17, 40, 34] from Operation: 68-34=34 Current State: 38:[17, 40, 34], Operations: ['68-34=34'] Exploring Operation: 34/17=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 34/17=2 Current State: 38:[40, 2], Operations: ['68-34=34', '34/17=2'] Exploring Operation: 40-2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 5, 89, 39, 96 ]
78
[ "5+89=94", "96-94=2", "39*2=78" ]
Current State: 78:[5, 89, 39, 96], Operations: [] Exploring Operation: 5+89=94, Resulting Numbers: [39, 96, 94] Generated Node #2: [39, 96, 94] from Operation: 5+89=94 Current State: 78:[39, 96, 94], Operations: ['5+89=94'] Exploring Operation: 96-94=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 96-94=2 Current State: 78:[39, 2], Operations: ['5+89=94', '96-94=2'] Exploring Operation: 39*2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 40, 17, 10, 20 ]
11
[ "40+20=60", "60/10=6", "17-6=11" ]
Current State: 11:[40, 17, 10, 20], Operations: [] Exploring Operation: 40+20=60, Resulting Numbers: [17, 10, 60] Generated Node #2: [17, 10, 60] from Operation: 40+20=60 Current State: 11:[17, 10, 60], Operations: ['40+20=60'] Exploring Operation: 60/10=6, Resulting Numbers: [17, 6] Generated Node #3: [17, 6] from Operation: 60/10=6 Current State: 11:[17, 6], Operations: ['40+20=60', '60/10=6'] Exploring Operation: 17-6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 41, 5, 4, 41 ]
41
[ "41*5=205", "4*41=164", "205-164=41" ]
Current State: 41:[41, 5, 4, 41], Operations: [] Exploring Operation: 41*5=205, Resulting Numbers: [4, 205] Generated Node #2: [4, 205] from Operation: 41*5=205 Current State: 41:[4, 205], Operations: ['41*5=205'] Exploring Operation: 4*41=164, Resulting Numbers: [205, 164] Generated Node #3: [205, 164] from Operation: 4*41=164 Current State: 41:[205, 164], Operations: ['41*5=205', '4*41=164'] Exploring Operation: 205-164=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 66, 54, 91, 93 ]
64
[ "66+54=120", "91+93=184", "184-120=64" ]
Current State: 64:[66, 54, 91, 93], Operations: [] Exploring Operation: 66+54=120, Resulting Numbers: [91, 93, 120] Generated Node #2: [91, 93, 120] from Operation: 66+54=120 Current State: 64:[91, 93, 120], Operations: ['66+54=120'] Exploring Operation: 91+93=184, Resulting Numbers: [120, 184] Generated Node #3: [120, 184] from Operation: 91+93=184 Current State: 64:[120, 184], Operations: ['66+54=120', '91+93=184'] Exploring Operation: 184-120=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 84, 52, 30, 62 ]
87
[ "62-52=10", "30/10=3", "84+3=87" ]
Current State: 87:[84, 52, 30, 62], Operations: [] Exploring Operation: 62-52=10, Resulting Numbers: [84, 30, 10] Generated Node #2: [84, 30, 10] from Operation: 62-52=10 Current State: 87:[84, 30, 10], Operations: ['62-52=10'] Exploring Operation: 30/10=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 30/10=3 Current State: 87:[84, 3], Operations: ['62-52=10', '30/10=3'] Exploring Operation: 84+3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 69, 45, 1, 60 ]
53
[ "69+45=114", "1+60=61", "114-61=53" ]
Current State: 53:[69, 45, 1, 60], Operations: [] Exploring Operation: 69+45=114, Resulting Numbers: [1, 60, 114] Generated Node #2: [1, 60, 114] from Operation: 69+45=114 Current State: 53:[1, 60, 114], Operations: ['69+45=114'] Exploring Operation: 1+60=61, Resulting Numbers: [114, 61] Generated Node #3: [114, 61] from Operation: 1+60=61 Current State: 53:[114, 61], Operations: ['69+45=114', '1+60=61'] Exploring Operation: 114-61=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 68, 56, 75, 52 ]
44
[ "75-68=7", "56/7=8", "52-8=44" ]
Current State: 44:[68, 56, 75, 52], Operations: [] Exploring Operation: 75-68=7, Resulting Numbers: [56, 52, 7] Generated Node #2: [56, 52, 7] from Operation: 75-68=7 Current State: 44:[56, 52, 7], Operations: ['75-68=7'] Exploring Operation: 56/7=8, Resulting Numbers: [52, 8] Generated Node #3: [52, 8] from Operation: 56/7=8 Current State: 44:[52, 8], Operations: ['75-68=7', '56/7=8'] Exploring Operation: 52-8=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 14, 2, 18, 73 ]
71
[ "14+2=16", "73-18=55", "16+55=71" ]
Current State: 71:[14, 2, 18, 73], Operations: [] Exploring Operation: 14+2=16, Resulting Numbers: [18, 73, 16] Generated Node #2: [18, 73, 16] from Operation: 14+2=16 Current State: 71:[18, 73, 16], Operations: ['14+2=16'] Exploring Operation: 73-18=55, Resulting Numbers: [16, 55] Generated Node #3: [16, 55] from Operation: 73-18=55 Current State: 71:[16, 55], Operations: ['14+2=16', '73-18=55'] Exploring Operation: 16+55=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 38, 75, 1, 73 ]
41
[ "38+75=113", "73-1=72", "113-72=41" ]
Current State: 41:[38, 75, 1, 73], Operations: [] Exploring Operation: 38+75=113, Resulting Numbers: [1, 73, 113] Generated Node #2: [1, 73, 113] from Operation: 38+75=113 Current State: 41:[1, 73, 113], Operations: ['38+75=113'] Exploring Operation: 73-1=72, Resulting Numbers: [113, 72] Generated Node #3: [113, 72] from Operation: 73-1=72 Current State: 41:[113, 72], Operations: ['38+75=113', '73-1=72'] Exploring Operation: 113-72=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 12, 23, 23, 57 ]
20
[ "12+57=69", "69/23=3", "23-3=20" ]
Current State: 20:[12, 23, 23, 57], Operations: [] Exploring Operation: 12+57=69, Resulting Numbers: [23, 23, 69] Generated Node #2: [23, 23, 69] from Operation: 12+57=69 Current State: 20:[23, 23, 69], Operations: ['12+57=69'] Exploring Operation: 69/23=3, Resulting Numbers: [3] 3,20 equal: Goal Reached Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 31, 96, 19, 13 ]
21
[ "31-19=12", "96/12=8", "13+8=21" ]
Current State: 21:[31, 96, 19, 13], Operations: [] Exploring Operation: 31-19=12, Resulting Numbers: [96, 13, 12] Generated Node #2: [96, 13, 12] from Operation: 31-19=12 Current State: 21:[96, 13, 12], Operations: ['31-19=12'] Exploring Operation: 96/12=8, Resulting Numbers: [13, 8] Generated Node #3: [13, 8] from Operation: 96/12=8 Current State: 21:[13, 8], Operations: ['31-19=12', '96/12=8'] Exploring Operation: 13+8=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 22, 64, 3, 28 ]
10
[ "64*3=192", "28+192=220", "220/22=10" ]
Current State: 10:[22, 64, 3, 28], Operations: [] Exploring Operation: 64*3=192, Resulting Numbers: [22, 28, 192] Generated Node #2: [22, 28, 192] from Operation: 64*3=192 Current State: 10:[22, 28, 192], Operations: ['64*3=192'] Exploring Operation: 28+192=220, Resulting Numbers: [22, 220] Generated Node #3: [22, 220] from Operation: 28+192=220 Current State: 10:[22, 220], Operations: ['64*3=192', '28+192=220'] Exploring Operation: 220/22=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 66, 82, 33, 69 ]
20
[ "82-66=16", "69-33=36", "36-16=20" ]
Current State: 20:[66, 82, 33, 69], Operations: [] Exploring Operation: 82-66=16, Resulting Numbers: [33, 69, 16] Generated Node #2: [33, 69, 16] from Operation: 82-66=16 Current State: 20:[33, 69, 16], Operations: ['82-66=16'] Exploring Operation: 69-33=36, Resulting Numbers: [16, 36] Generated Node #3: [16, 36] from Operation: 69-33=36 Current State: 20:[16, 36], Operations: ['82-66=16', '69-33=36'] Exploring Operation: 36-16=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 98, 95, 64, 29 ]
38
[ "98-95=3", "64-29=35", "3+35=38" ]
Current State: 38:[98, 95, 64, 29], Operations: [] Exploring Operation: 98-95=3, Resulting Numbers: [64, 29, 3] Generated Node #2: [64, 29, 3] from Operation: 98-95=3 Current State: 38:[64, 29, 3], Operations: ['98-95=3'] Exploring Operation: 64-29=35, Resulting Numbers: [3, 35] Generated Node #3: [3, 35] from Operation: 64-29=35 Current State: 38:[3, 35], Operations: ['98-95=3', '64-29=35'] Exploring Operation: 3+35=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 3, 21, 86, 3 ]
80
[ "21-3=18", "18/3=6", "86-6=80" ]
Current State: 80:[3, 21, 86, 3], Operations: [] Exploring Operation: 21-3=18, Resulting Numbers: [86, 18] Generated Node #2: [86, 18] from Operation: 21-3=18 Current State: 80:[86, 18], Operations: ['21-3=18'] Exploring Operation: 18/3=6, Resulting Numbers: [86, 6] Generated Node #3: [86, 6] from Operation: 18/3=6 Current State: 80:[86, 6], Operations: ['21-3=18', '18/3=6'] Exploring Operation: 86-6=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 61, 24, 70, 7 ]
12
[ "70-61=9", "9-7=2", "24/2=12" ]
Current State: 12:[61, 24, 70, 7], Operations: [] Exploring Operation: 70-61=9, Resulting Numbers: [24, 7, 9] Generated Node #2: [24, 7, 9] from Operation: 70-61=9 Current State: 12:[24, 7, 9], Operations: ['70-61=9'] Exploring Operation: 9-7=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 9-7=2 Current State: 12:[24, 2], Operations: ['70-61=9', '9-7=2'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 77, 90, 42, 22 ]
83
[ "90+42=132", "132/22=6", "77+6=83" ]
Current State: 83:[77, 90, 42, 22], Operations: [] Exploring Operation: 90+42=132, Resulting Numbers: [77, 22, 132] Generated Node #2: [77, 22, 132] from Operation: 90+42=132 Current State: 83:[77, 22, 132], Operations: ['90+42=132'] Exploring Operation: 132/22=6, Resulting Numbers: [77, 6] Generated Node #3: [77, 6] from Operation: 132/22=6 Current State: 83:[77, 6], Operations: ['90+42=132', '132/22=6'] Exploring Operation: 77+6=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 65, 87, 60, 2 ]
52
[ "87-65=22", "60/2=30", "22+30=52" ]
Current State: 52:[65, 87, 60, 2], Operations: [] Exploring Operation: 87-65=22, Resulting Numbers: [60, 2, 22] Generated Node #2: [60, 2, 22] from Operation: 87-65=22 Current State: 52:[60, 2, 22], Operations: ['87-65=22'] Exploring Operation: 60/2=30, Resulting Numbers: [22, 30] Generated Node #3: [22, 30] from Operation: 60/2=30 Current State: 52:[22, 30], Operations: ['87-65=22', '60/2=30'] Exploring Operation: 22+30=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 77, 98, 79, 38 ]
87
[ "79-77=2", "98/2=49", "38+49=87" ]
Current State: 87:[77, 98, 79, 38], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [98, 38, 2] Generated Node #2: [98, 38, 2] from Operation: 79-77=2 Current State: 87:[98, 38, 2], Operations: ['79-77=2'] Exploring Operation: 98/2=49, Resulting Numbers: [38, 49] Generated Node #3: [38, 49] from Operation: 98/2=49 Current State: 87:[38, 49], Operations: ['79-77=2', '98/2=49'] Exploring Operation: 38+49=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4