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
[ 77, 59, 60, 19 ]
57
[ "77+59=136", "60+19=79", "136-79=57" ]
Current State: 57:[77, 59, 60, 19], Operations: [] Exploring Operation: 77+59=136, Resulting Numbers: [60, 19, 136] Generated Node #2: [60, 19, 136] from Operation: 77+59=136 Current State: 57:[60, 19, 136], Operations: ['77+59=136'] Exploring Operation: 60+19=79, Resulting Numbers: [136, 79] Generated Node #3: [136, 79] from Operation: 60+19=79 Current State: 57:[136, 79], Operations: ['77+59=136', '60+19=79'] Exploring Operation: 136-79=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 65, 84, 56, 26 ]
49
[ "84-65=19", "56-26=30", "19+30=49" ]
Current State: 49:[65, 84, 56, 26], Operations: [] Exploring Operation: 84-65=19, Resulting Numbers: [56, 26, 19] Generated Node #2: [56, 26, 19] from Operation: 84-65=19 Current State: 49:[56, 26, 19], Operations: ['84-65=19'] Exploring Operation: 56-26=30, Resulting Numbers: [19, 30] Generated Node #3: [19, 30] from Operation: 56-26=30 Current State: 49:[19, 30], Operations: ['84-65=19', '56-26=30'] Exploring Operation: 19+30=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 79, 3, 17, 34 ]
99
[ "79+3=82", "34-17=17", "82+17=99" ]
Current State: 99:[79, 3, 17, 34], Operations: [] Exploring Operation: 79+3=82, Resulting Numbers: [17, 34, 82] Generated Node #2: [17, 34, 82] from Operation: 79+3=82 Current State: 99:[17, 34, 82], Operations: ['79+3=82'] Exploring Operation: 34-17=17, Resulting Numbers: [82, 17] Generated Node #3: [82, 17] from Operation: 34-17=17 Current State: 99:[82, 17], Operations: ['79+3=82', '34-17=17'] Exploring Operation: 82+17=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 15, 30, 80, 1 ]
82
[ "30/15=2", "80*1=80", "2+80=82" ]
Current State: 82:[15, 30, 80, 1], Operations: [] Exploring Operation: 30/15=2, Resulting Numbers: [80, 1, 2] Generated Node #2: [80, 1, 2] from Operation: 30/15=2 Current State: 82:[80, 1, 2], Operations: ['30/15=2'] Exploring Operation: 80*1=80, Resulting Numbers: [2, 80] Generated Node #3: [2, 80] from Operation: 80*1=80 Current State: 82:[2, 80], Operations: ['30/15=2', '80*1=80'] Exploring Operation: 2+80=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 5, 25, 20, 13 ]
61
[ "25*13=325", "325-20=305", "305/5=61" ]
Current State: 61:[5, 25, 20, 13], Operations: [] Exploring Operation: 25*13=325, Resulting Numbers: [5, 20, 325] Generated Node #2: [5, 20, 325] from Operation: 25*13=325 Current State: 61:[5, 20, 325], Operations: ['25*13=325'] Exploring Operation: 325-20=305, Resulting Numbers: [5, 305] Generated Node #3: [5, 305] from Operation: 325-20=305 Current State: 61:[5, 305], Operations: ['25*13=325', '325-20=305'] Exploring Operation: 305/5=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 66, 98, 40, 61 ]
53
[ "98-66=32", "61-40=21", "32+21=53" ]
Current State: 53:[66, 98, 40, 61], Operations: [] Exploring Operation: 98-66=32, Resulting Numbers: [40, 61, 32] Generated Node #2: [40, 61, 32] from Operation: 98-66=32 Current State: 53:[40, 61, 32], Operations: ['98-66=32'] Exploring Operation: 61-40=21, Resulting Numbers: [32, 21] Generated Node #3: [32, 21] from Operation: 61-40=21 Current State: 53:[32, 21], Operations: ['98-66=32', '61-40=21'] Exploring Operation: 32+21=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 43, 19, 73, 38 ]
15
[ "73-43=30", "38/19=2", "30/2=15" ]
Current State: 15:[43, 19, 73, 38], Operations: [] Exploring Operation: 73-43=30, Resulting Numbers: [19, 38, 30] Generated Node #2: [19, 38, 30] from Operation: 73-43=30 Current State: 15:[19, 38, 30], Operations: ['73-43=30'] Exploring Operation: 38/19=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 38/19=2 Current State: 15:[30, 2], Operations: ['73-43=30', '38/19=2'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 12, 83, 25, 21 ]
75
[ "83-12=71", "25-21=4", "71+4=75" ]
Current State: 75:[12, 83, 25, 21], Operations: [] Exploring Operation: 83-12=71, Resulting Numbers: [25, 21, 71] Generated Node #2: [25, 21, 71] from Operation: 83-12=71 Current State: 75:[25, 21, 71], Operations: ['83-12=71'] Exploring Operation: 25-21=4, Resulting Numbers: [71, 4] Generated Node #3: [71, 4] from Operation: 25-21=4 Current State: 75:[71, 4], Operations: ['83-12=71', '25-21=4'] Exploring Operation: 71+4=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 81, 29, 69, 26 ]
58
[ "29-26=3", "69/3=23", "81-23=58" ]
Current State: 58:[81, 29, 69, 26], Operations: [] Exploring Operation: 29-26=3, Resulting Numbers: [81, 69, 3] Generated Node #2: [81, 69, 3] from Operation: 29-26=3 Current State: 58:[81, 69, 3], Operations: ['29-26=3'] Exploring Operation: 69/3=23, Resulting Numbers: [81, 23] Generated Node #3: [81, 23] from Operation: 69/3=23 Current State: 58:[81, 23], Operations: ['29-26=3', '69/3=23'] Exploring Operation: 81-23=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 14, 83, 7, 86 ]
35
[ "86-83=3", "14*3=42", "42-7=35" ]
Current State: 35:[14, 83, 7, 86], Operations: [] Exploring Operation: 86-83=3, Resulting Numbers: [14, 7, 3] Generated Node #2: [14, 7, 3] from Operation: 86-83=3 Current State: 35:[14, 7, 3], Operations: ['86-83=3'] Exploring Operation: 14*3=42, Resulting Numbers: [7, 42] Generated Node #3: [7, 42] from Operation: 14*3=42 Current State: 35:[7, 42], Operations: ['86-83=3', '14*3=42'] Exploring Operation: 42-7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 51, 2, 93, 68 ]
89
[ "93-51=42", "42/2=21", "68+21=89" ]
Current State: 89:[51, 2, 93, 68], Operations: [] Exploring Operation: 93-51=42, Resulting Numbers: [2, 68, 42] Generated Node #2: [2, 68, 42] from Operation: 93-51=42 Current State: 89:[2, 68, 42], Operations: ['93-51=42'] Exploring Operation: 42/2=21, Resulting Numbers: [68, 21] Generated Node #3: [68, 21] from Operation: 42/2=21 Current State: 89:[68, 21], Operations: ['93-51=42', '42/2=21'] Exploring Operation: 68+21=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 91, 48, 61, 45 ]
88
[ "61-45=16", "48/16=3", "91-3=88" ]
Current State: 88:[91, 48, 61, 45], Operations: [] Exploring Operation: 61-45=16, Resulting Numbers: [91, 48, 16] Generated Node #2: [91, 48, 16] from Operation: 61-45=16 Current State: 88:[91, 48, 16], Operations: ['61-45=16'] Exploring Operation: 48/16=3, Resulting Numbers: [91, 3] Generated Node #3: [91, 3] from Operation: 48/16=3 Current State: 88:[91, 3], Operations: ['61-45=16', '48/16=3'] Exploring Operation: 91-3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 11, 33, 70, 51 ]
87
[ "33/11=3", "51/3=17", "70+17=87" ]
Current State: 87:[11, 33, 70, 51], Operations: [] Exploring Operation: 33/11=3, Resulting Numbers: [70, 51, 3] Generated Node #2: [70, 51, 3] from Operation: 33/11=3 Current State: 87:[70, 51, 3], Operations: ['33/11=3'] Exploring Operation: 51/3=17, Resulting Numbers: [70, 17] Generated Node #3: [70, 17] from Operation: 51/3=17 Current State: 87:[70, 17], Operations: ['33/11=3', '51/3=17'] Exploring Operation: 70+17=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 14, 5, 16, 46 ]
49
[ "14+5=19", "46-16=30", "19+30=49" ]
Current State: 49:[14, 5, 16, 46], Operations: [] Exploring Operation: 14+5=19, Resulting Numbers: [16, 46, 19] Generated Node #2: [16, 46, 19] from Operation: 14+5=19 Current State: 49:[16, 46, 19], Operations: ['14+5=19'] Exploring Operation: 46-16=30, Resulting Numbers: [19, 30] Generated Node #3: [19, 30] from Operation: 46-16=30 Current State: 49:[19, 30], Operations: ['14+5=19', '46-16=30'] Exploring Operation: 19+30=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 9, 22, 26, 35 ]
91
[ "35-22=13", "9*13=117", "117-26=91" ]
Current State: 91:[9, 22, 26, 35], Operations: [] Exploring Operation: 35-22=13, Resulting Numbers: [9, 26, 13] Generated Node #2: [9, 26, 13] from Operation: 35-22=13 Current State: 91:[9, 26, 13], Operations: ['35-22=13'] Exploring Operation: 9*13=117, Resulting Numbers: [26, 117] Generated Node #3: [26, 117] from Operation: 9*13=117 Current State: 91:[26, 117], Operations: ['35-22=13', '9*13=117'] Exploring Operation: 117-26=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 78, 37, 72, 15 ]
53
[ "78-72=6", "15*6=90", "90-37=53" ]
Current State: 53:[78, 37, 72, 15], Operations: [] Exploring Operation: 78-72=6, Resulting Numbers: [37, 15, 6] Generated Node #2: [37, 15, 6] from Operation: 78-72=6 Current State: 53:[37, 15, 6], Operations: ['78-72=6'] Exploring Operation: 15*6=90, Resulting Numbers: [37, 90] Generated Node #3: [37, 90] from Operation: 15*6=90 Current State: 53:[37, 90], Operations: ['78-72=6', '15*6=90'] Exploring Operation: 90-37=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 49, 72, 37, 62 ]
76
[ "72-49=23", "37+62=99", "99-23=76" ]
Current State: 76:[49, 72, 37, 62], Operations: [] Exploring Operation: 72-49=23, Resulting Numbers: [37, 62, 23] Generated Node #2: [37, 62, 23] from Operation: 72-49=23 Current State: 76:[37, 62, 23], Operations: ['72-49=23'] Exploring Operation: 37+62=99, Resulting Numbers: [23, 99] Generated Node #3: [23, 99] from Operation: 37+62=99 Current State: 76:[23, 99], Operations: ['72-49=23', '37+62=99'] Exploring Operation: 99-23=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 3, 89, 13, 62 ]
22
[ "89-62=27", "27/3=9", "13+9=22" ]
Current State: 22:[3, 89, 13, 62], Operations: [] Exploring Operation: 89-62=27, Resulting Numbers: [3, 13, 27] Generated Node #2: [3, 13, 27] from Operation: 89-62=27 Current State: 22:[3, 13, 27], Operations: ['89-62=27'] Exploring Operation: 27/3=9, Resulting Numbers: [13, 9] Generated Node #3: [13, 9] from Operation: 27/3=9 Current State: 22:[13, 9], Operations: ['89-62=27', '27/3=9'] Exploring Operation: 13+9=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 30, 16, 95, 38 ]
87
[ "30+16=46", "95+38=133", "133-46=87" ]
Current State: 87:[30, 16, 95, 38], Operations: [] Exploring Operation: 30+16=46, Resulting Numbers: [95, 38, 46] Generated Node #2: [95, 38, 46] from Operation: 30+16=46 Current State: 87:[95, 38, 46], Operations: ['30+16=46'] Exploring Operation: 95+38=133, Resulting Numbers: [46, 133] Generated Node #3: [46, 133] from Operation: 95+38=133 Current State: 87:[46, 133], Operations: ['30+16=46', '95+38=133'] Exploring Operation: 133-46=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 6, 1, 19, 8 ]
15
[ "1+19=20", "6*20=120", "120/8=15" ]
Current State: 15:[6, 1, 19, 8], Operations: [] Exploring Operation: 1+19=20, Resulting Numbers: [6, 8, 20] Generated Node #2: [6, 8, 20] from Operation: 1+19=20 Current State: 15:[6, 8, 20], Operations: ['1+19=20'] Exploring Operation: 6*20=120, Resulting Numbers: [8, 120] Generated Node #3: [8, 120] from Operation: 6*20=120 Current State: 15:[8, 120], Operations: ['1+19=20', '6*20=120'] Exploring Operation: 120/8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 77, 75, 35, 34 ]
71
[ "77-75=2", "35+34=69", "2+69=71" ]
Current State: 71:[77, 75, 35, 34], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [35, 34, 2] Generated Node #2: [35, 34, 2] from Operation: 77-75=2 Current State: 71:[35, 34, 2], Operations: ['77-75=2'] Exploring Operation: 35+34=69, Resulting Numbers: [2, 69] Generated Node #3: [2, 69] from Operation: 35+34=69 Current State: 71:[2, 69], Operations: ['77-75=2', '35+34=69'] Exploring Operation: 2+69=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 4, 90, 73, 59 ]
34
[ "73-59=14", "4*14=56", "90-56=34" ]
Current State: 34:[4, 90, 73, 59], Operations: [] Exploring Operation: 73-59=14, Resulting Numbers: [4, 90, 14] Generated Node #2: [4, 90, 14] from Operation: 73-59=14 Current State: 34:[4, 90, 14], Operations: ['73-59=14'] Exploring Operation: 4*14=56, Resulting Numbers: [90, 56] Generated Node #3: [90, 56] from Operation: 4*14=56 Current State: 34:[90, 56], Operations: ['73-59=14', '4*14=56'] Exploring Operation: 90-56=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 9, 85, 75, 6 ]
51
[ "85-75=10", "6*10=60", "60-9=51" ]
Current State: 51:[9, 85, 75, 6], Operations: [] Exploring Operation: 85-75=10, Resulting Numbers: [9, 6, 10] Generated Node #2: [9, 6, 10] from Operation: 85-75=10 Current State: 51:[9, 6, 10], Operations: ['85-75=10'] Exploring Operation: 6*10=60, Resulting Numbers: [9, 60] Generated Node #3: [9, 60] from Operation: 6*10=60 Current State: 51:[9, 60], Operations: ['85-75=10', '6*10=60'] Exploring Operation: 60-9=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 88, 29, 17, 28 ]
14
[ "88-29=59", "17+28=45", "59-45=14" ]
Current State: 14:[88, 29, 17, 28], Operations: [] Exploring Operation: 88-29=59, Resulting Numbers: [17, 28, 59] Generated Node #2: [17, 28, 59] from Operation: 88-29=59 Current State: 14:[17, 28, 59], Operations: ['88-29=59'] Exploring Operation: 17+28=45, Resulting Numbers: [59, 45] Generated Node #3: [59, 45] from Operation: 17+28=45 Current State: 14:[59, 45], Operations: ['88-29=59', '17+28=45'] Exploring Operation: 59-45=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 19, 42, 70, 42 ]
19
[ "42-42=0", "70*0=0", "19+0=19" ]
Current State: 19:[19, 42, 70, 42], Operations: [] Exploring Operation: 42-42=0, Resulting Numbers: [19, 70, 0] Generated Node #2: [19, 70, 0] from Operation: 42-42=0 Current State: 19:[19, 70, 0], Operations: ['42-42=0'] Exploring Operation: 70*0=0, Resulting Numbers: [19, 0] Generated Node #3: [19, 0] from Operation: 70*0=0 Current State: 19:[19, 0], Operations: ['42-42=0', '70*0=0'] Exploring Operation: 19+0=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 68, 71, 35, 4 ]
19
[ "68/4=17", "71-35=36", "36-17=19" ]
Current State: 19:[68, 71, 35, 4], Operations: [] Exploring Operation: 68/4=17, Resulting Numbers: [71, 35, 17] Generated Node #2: [71, 35, 17] from Operation: 68/4=17 Current State: 19:[71, 35, 17], Operations: ['68/4=17'] Exploring Operation: 71-35=36, Resulting Numbers: [17, 36] Generated Node #3: [17, 36] from Operation: 71-35=36 Current State: 19:[17, 36], Operations: ['68/4=17', '71-35=36'] Exploring Operation: 36-17=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 56, 59, 80, 76 ]
55
[ "76-56=20", "80/20=4", "59-4=55" ]
Current State: 55:[56, 59, 80, 76], Operations: [] Exploring Operation: 76-56=20, Resulting Numbers: [59, 80, 20] Generated Node #2: [59, 80, 20] from Operation: 76-56=20 Current State: 55:[59, 80, 20], Operations: ['76-56=20'] Exploring Operation: 80/20=4, Resulting Numbers: [59, 4] Generated Node #3: [59, 4] from Operation: 80/20=4 Current State: 55:[59, 4], Operations: ['76-56=20', '80/20=4'] Exploring Operation: 59-4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 90, 75, 21, 19 ]
55
[ "90-75=15", "21+19=40", "15+40=55" ]
Current State: 55:[90, 75, 21, 19], Operations: [] Exploring Operation: 90-75=15, Resulting Numbers: [21, 19, 15] Generated Node #2: [21, 19, 15] from Operation: 90-75=15 Current State: 55:[21, 19, 15], Operations: ['90-75=15'] Exploring Operation: 21+19=40, Resulting Numbers: [15, 40] Generated Node #3: [15, 40] from Operation: 21+19=40 Current State: 55:[15, 40], Operations: ['90-75=15', '21+19=40'] Exploring Operation: 15+40=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 9, 90, 4, 6 ]
71
[ "90-9=81", "4+6=10", "81-10=71" ]
Current State: 71:[9, 90, 4, 6], Operations: [] Exploring Operation: 90-9=81, Resulting Numbers: [4, 6, 81] Generated Node #2: [4, 6, 81] from Operation: 90-9=81 Current State: 71:[4, 6, 81], Operations: ['90-9=81'] Exploring Operation: 4+6=10, Resulting Numbers: [81, 10] Generated Node #3: [81, 10] from Operation: 4+6=10 Current State: 71:[81, 10], Operations: ['90-9=81', '4+6=10'] Exploring Operation: 81-10=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 75, 5, 84, 75 ]
14
[ "75/75=1", "5+1=6", "84/6=14" ]
Current State: 14:[75, 5, 84, 75], Operations: [] Exploring Operation: 75/75=1, Resulting Numbers: [5, 84, 1] Generated Node #2: [5, 84, 1] from Operation: 75/75=1 Current State: 14:[5, 84, 1], Operations: ['75/75=1'] Exploring Operation: 5+1=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 5+1=6 Current State: 14:[84, 6], Operations: ['75/75=1', '5+1=6'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 84, 85, 81, 78 ]
93
[ "85-78=7", "84/7=12", "81+12=93" ]
Current State: 93:[84, 85, 81, 78], Operations: [] Exploring Operation: 85-78=7, Resulting Numbers: [84, 81, 7] Generated Node #2: [84, 81, 7] from Operation: 85-78=7 Current State: 93:[84, 81, 7], Operations: ['85-78=7'] Exploring Operation: 84/7=12, Resulting Numbers: [81, 12] Generated Node #3: [81, 12] from Operation: 84/7=12 Current State: 93:[81, 12], Operations: ['85-78=7', '84/7=12'] Exploring Operation: 81+12=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 55, 97, 44, 38 ]
40
[ "55+97=152", "152/38=4", "44-4=40" ]
Current State: 40:[55, 97, 44, 38], Operations: [] Exploring Operation: 55+97=152, Resulting Numbers: [44, 38, 152] Generated Node #2: [44, 38, 152] from Operation: 55+97=152 Current State: 40:[44, 38, 152], Operations: ['55+97=152'] Exploring Operation: 152/38=4, Resulting Numbers: [44, 4] Generated Node #3: [44, 4] from Operation: 152/38=4 Current State: 40:[44, 4], Operations: ['55+97=152', '152/38=4'] Exploring Operation: 44-4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 77, 46, 5, 42 ]
57
[ "46-42=4", "5*4=20", "77-20=57" ]
Current State: 57:[77, 46, 5, 42], Operations: [] Exploring Operation: 46-42=4, Resulting Numbers: [77, 5, 4] Generated Node #2: [77, 5, 4] from Operation: 46-42=4 Current State: 57:[77, 5, 4], Operations: ['46-42=4'] Exploring Operation: 5*4=20, Resulting Numbers: [77, 20] Generated Node #3: [77, 20] from Operation: 5*4=20 Current State: 57:[77, 20], Operations: ['46-42=4', '5*4=20'] Exploring Operation: 77-20=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 83, 88, 90, 57 ]
75
[ "88-83=5", "90/5=18", "57+18=75" ]
Current State: 75:[83, 88, 90, 57], Operations: [] Exploring Operation: 88-83=5, Resulting Numbers: [90, 57, 5] Generated Node #2: [90, 57, 5] from Operation: 88-83=5 Current State: 75:[90, 57, 5], Operations: ['88-83=5'] Exploring Operation: 90/5=18, Resulting Numbers: [57, 18] Generated Node #3: [57, 18] from Operation: 90/5=18 Current State: 75:[57, 18], Operations: ['88-83=5', '90/5=18'] Exploring Operation: 57+18=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 57, 13, 17, 85 ]
14
[ "57+13=70", "85/17=5", "70/5=14" ]
Current State: 14:[57, 13, 17, 85], Operations: [] Exploring Operation: 57+13=70, Resulting Numbers: [17, 85, 70] Generated Node #2: [17, 85, 70] from Operation: 57+13=70 Current State: 14:[17, 85, 70], Operations: ['57+13=70'] Exploring Operation: 85/17=5, Resulting Numbers: [70, 5] Generated Node #3: [70, 5] from Operation: 85/17=5 Current State: 14:[70, 5], Operations: ['57+13=70', '85/17=5'] Exploring Operation: 70/5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 7, 2, 70, 32 ]
94
[ "70-7=63", "2*63=126", "126-32=94" ]
Current State: 94:[7, 2, 70, 32], Operations: [] Exploring Operation: 70-7=63, Resulting Numbers: [2, 32, 63] Generated Node #2: [2, 32, 63] from Operation: 70-7=63 Current State: 94:[2, 32, 63], Operations: ['70-7=63'] Exploring Operation: 2*63=126, Resulting Numbers: [32, 126] Generated Node #3: [32, 126] from Operation: 2*63=126 Current State: 94:[32, 126], Operations: ['70-7=63', '2*63=126'] Exploring Operation: 126-32=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 83, 2, 15, 95 ]
61
[ "83-15=68", "68/2=34", "95-34=61" ]
Current State: 61:[83, 2, 15, 95], Operations: [] Exploring Operation: 83-15=68, Resulting Numbers: [2, 95, 68] Generated Node #2: [2, 95, 68] from Operation: 83-15=68 Current State: 61:[2, 95, 68], Operations: ['83-15=68'] Exploring Operation: 68/2=34, Resulting Numbers: [95, 34] Generated Node #3: [95, 34] from Operation: 68/2=34 Current State: 61:[95, 34], Operations: ['83-15=68', '68/2=34'] Exploring Operation: 95-34=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 70, 56, 35, 60 ]
64
[ "70/35=2", "60*2=120", "120-56=64" ]
Current State: 64:[70, 56, 35, 60], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [56, 60, 2] Generated Node #2: [56, 60, 2] from Operation: 70/35=2 Current State: 64:[56, 60, 2], Operations: ['70/35=2'] Exploring Operation: 60*2=120, Resulting Numbers: [56, 120] Generated Node #3: [56, 120] from Operation: 60*2=120 Current State: 64:[56, 120], Operations: ['70/35=2', '60*2=120'] Exploring Operation: 120-56=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 8, 42, 80, 63 ]
92
[ "8*63=504", "504/42=12", "80+12=92" ]
Current State: 92:[8, 42, 80, 63], Operations: [] Exploring Operation: 8*63=504, Resulting Numbers: [42, 80, 504] Generated Node #2: [42, 80, 504] from Operation: 8*63=504 Current State: 92:[42, 80, 504], Operations: ['8*63=504'] Exploring Operation: 504/42=12, Resulting Numbers: [80, 12] Generated Node #3: [80, 12] from Operation: 504/42=12 Current State: 92:[80, 12], Operations: ['8*63=504', '504/42=12'] Exploring Operation: 80+12=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 59, 23, 97, 39 ]
92
[ "59+97=156", "23*156=3588", "3588/39=92" ]
Current State: 92:[59, 23, 97, 39], Operations: [] Exploring Operation: 59+97=156, Resulting Numbers: [23, 39, 156] Generated Node #2: [23, 39, 156] from Operation: 59+97=156 Current State: 92:[23, 39, 156], Operations: ['59+97=156'] Exploring Operation: 23*156=3588, Resulting Numbers: [39, 3588] Generated Node #3: [39, 3588] from Operation: 23*156=3588 Current State: 92:[39, 3588], Operations: ['59+97=156', '23*156=3588'] Exploring Operation: 3588/39=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 28, 61, 5, 14 ]
24
[ "61-28=33", "14-5=9", "33-9=24" ]
Current State: 24:[28, 61, 5, 14], Operations: [] Exploring Operation: 61-28=33, Resulting Numbers: [5, 14, 33] Generated Node #2: [5, 14, 33] from Operation: 61-28=33 Current State: 24:[5, 14, 33], Operations: ['61-28=33'] Exploring Operation: 14-5=9, Resulting Numbers: [33, 9] Generated Node #3: [33, 9] from Operation: 14-5=9 Current State: 24:[33, 9], Operations: ['61-28=33', '14-5=9'] Exploring Operation: 33-9=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 41, 24, 20, 22 ]
25
[ "41-24=17", "20+22=42", "42-17=25" ]
Current State: 25:[41, 24, 20, 22], Operations: [] Exploring Operation: 41-24=17, Resulting Numbers: [20, 22, 17] Generated Node #2: [20, 22, 17] from Operation: 41-24=17 Current State: 25:[20, 22, 17], Operations: ['41-24=17'] Exploring Operation: 20+22=42, Resulting Numbers: [17, 42] Generated Node #3: [17, 42] from Operation: 20+22=42 Current State: 25:[17, 42], Operations: ['41-24=17', '20+22=42'] Exploring Operation: 42-17=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 74, 72, 47, 58 ]
69
[ "74-72=2", "58*2=116", "116-47=69" ]
Current State: 69:[74, 72, 47, 58], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [47, 58, 2] Generated Node #2: [47, 58, 2] from Operation: 74-72=2 Current State: 69:[47, 58, 2], Operations: ['74-72=2'] Exploring Operation: 58*2=116, Resulting Numbers: [47, 116] Generated Node #3: [47, 116] from Operation: 58*2=116 Current State: 69:[47, 116], Operations: ['74-72=2', '58*2=116'] Exploring Operation: 116-47=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 52, 15, 49, 64 ]
69
[ "52-49=3", "15/3=5", "64+5=69" ]
Current State: 69:[52, 15, 49, 64], Operations: [] Exploring Operation: 52-49=3, Resulting Numbers: [15, 64, 3] Generated Node #2: [15, 64, 3] from Operation: 52-49=3 Current State: 69:[15, 64, 3], Operations: ['52-49=3'] Exploring Operation: 15/3=5, Resulting Numbers: [64, 5] Generated Node #3: [64, 5] from Operation: 15/3=5 Current State: 69:[64, 5], Operations: ['52-49=3', '15/3=5'] Exploring Operation: 64+5=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 73, 40, 63, 45 ]
50
[ "73-63=10", "45-40=5", "10*5=50" ]
Current State: 50:[73, 40, 63, 45], Operations: [] Exploring Operation: 73-63=10, Resulting Numbers: [40, 45, 10] Generated Node #2: [40, 45, 10] from Operation: 73-63=10 Current State: 50:[40, 45, 10], Operations: ['73-63=10'] Exploring Operation: 45-40=5, Resulting Numbers: [10, 5] Generated Node #3: [10, 5] from Operation: 45-40=5 Current State: 50:[10, 5], Operations: ['73-63=10', '45-40=5'] Exploring Operation: 10*5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 1, 56, 60, 35 ]
40
[ "56-1=55", "60+35=95", "95-55=40" ]
Current State: 40:[1, 56, 60, 35], Operations: [] Exploring Operation: 56-1=55, Resulting Numbers: [60, 35, 55] Generated Node #2: [60, 35, 55] from Operation: 56-1=55 Current State: 40:[60, 35, 55], Operations: ['56-1=55'] Exploring Operation: 60+35=95, Resulting Numbers: [55, 95] Generated Node #3: [55, 95] from Operation: 60+35=95 Current State: 40:[55, 95], Operations: ['56-1=55', '60+35=95'] Exploring Operation: 95-55=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 56, 10, 8, 25 ]
29
[ "56-10=46", "25-8=17", "46-17=29" ]
Current State: 29:[56, 10, 8, 25], Operations: [] Exploring Operation: 56-10=46, Resulting Numbers: [8, 25, 46] Generated Node #2: [8, 25, 46] from Operation: 56-10=46 Current State: 29:[8, 25, 46], Operations: ['56-10=46'] Exploring Operation: 25-8=17, Resulting Numbers: [46, 17] Generated Node #3: [46, 17] from Operation: 25-8=17 Current State: 29:[46, 17], Operations: ['56-10=46', '25-8=17'] Exploring Operation: 46-17=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 4, 88, 55, 71 ]
68
[ "88-4=84", "71-55=16", "84-16=68" ]
Current State: 68:[4, 88, 55, 71], Operations: [] Exploring Operation: 88-4=84, Resulting Numbers: [55, 71, 84] Generated Node #2: [55, 71, 84] from Operation: 88-4=84 Current State: 68:[55, 71, 84], Operations: ['88-4=84'] Exploring Operation: 71-55=16, Resulting Numbers: [84, 16] Generated Node #3: [84, 16] from Operation: 71-55=16 Current State: 68:[84, 16], Operations: ['88-4=84', '71-55=16'] Exploring Operation: 84-16=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 88, 47, 68, 31 ]
98
[ "88+47=135", "68-31=37", "135-37=98" ]
Current State: 98:[88, 47, 68, 31], Operations: [] Exploring Operation: 88+47=135, Resulting Numbers: [68, 31, 135] Generated Node #2: [68, 31, 135] from Operation: 88+47=135 Current State: 98:[68, 31, 135], Operations: ['88+47=135'] Exploring Operation: 68-31=37, Resulting Numbers: [135, 37] Generated Node #3: [135, 37] from Operation: 68-31=37 Current State: 98:[135, 37], Operations: ['88+47=135', '68-31=37'] Exploring Operation: 135-37=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 17, 15, 20, 40 ]
75
[ "20-17=3", "40-15=25", "3*25=75" ]
Current State: 75:[17, 15, 20, 40], Operations: [] Exploring Operation: 20-17=3, Resulting Numbers: [15, 40, 3] Generated Node #2: [15, 40, 3] from Operation: 20-17=3 Current State: 75:[15, 40, 3], Operations: ['20-17=3'] Exploring Operation: 40-15=25, Resulting Numbers: [3, 25] Generated Node #3: [3, 25] from Operation: 40-15=25 Current State: 75:[3, 25], Operations: ['20-17=3', '40-15=25'] Exploring Operation: 3*25=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 19, 8, 61, 47 ]
44
[ "19*8=152", "61+47=108", "152-108=44" ]
Current State: 44:[19, 8, 61, 47], Operations: [] Exploring Operation: 19*8=152, Resulting Numbers: [61, 47, 152] Generated Node #2: [61, 47, 152] from Operation: 19*8=152 Current State: 44:[61, 47, 152], Operations: ['19*8=152'] Exploring Operation: 61+47=108, Resulting Numbers: [152, 108] Generated Node #3: [152, 108] from Operation: 61+47=108 Current State: 44:[152, 108], Operations: ['19*8=152', '61+47=108'] Exploring Operation: 152-108=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 48, 24, 23, 17 ]
11
[ "48/24=2", "17*2=34", "34-23=11" ]
Current State: 11:[48, 24, 23, 17], Operations: [] Exploring Operation: 48/24=2, Resulting Numbers: [23, 17, 2] Generated Node #2: [23, 17, 2] from Operation: 48/24=2 Current State: 11:[23, 17, 2], Operations: ['48/24=2'] Exploring Operation: 17*2=34, Resulting Numbers: [23, 34] Generated Node #3: [23, 34] from Operation: 17*2=34 Current State: 11:[23, 34], Operations: ['48/24=2', '17*2=34'] Exploring Operation: 34-23=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 63, 8, 79, 11 ]
72
[ "79-63=16", "8*11=88", "88-16=72" ]
Current State: 72:[63, 8, 79, 11], Operations: [] Exploring Operation: 79-63=16, Resulting Numbers: [8, 11, 16] Generated Node #2: [8, 11, 16] from Operation: 79-63=16 Current State: 72:[8, 11, 16], Operations: ['79-63=16'] Exploring Operation: 8*11=88, Resulting Numbers: [16, 88] Generated Node #3: [16, 88] from Operation: 8*11=88 Current State: 72:[16, 88], Operations: ['79-63=16', '8*11=88'] Exploring Operation: 88-16=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 48, 9, 38, 2 ]
52
[ "48+38=86", "86/2=43", "9+43=52" ]
Current State: 52:[48, 9, 38, 2], Operations: [] Exploring Operation: 48+38=86, Resulting Numbers: [9, 2, 86] Generated Node #2: [9, 2, 86] from Operation: 48+38=86 Current State: 52:[9, 2, 86], Operations: ['48+38=86'] Exploring Operation: 86/2=43, Resulting Numbers: [9, 43] Generated Node #3: [9, 43] from Operation: 86/2=43 Current State: 52:[9, 43], Operations: ['48+38=86', '86/2=43'] Exploring Operation: 9+43=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 51, 41, 6, 79 ]
78
[ "51+41=92", "92-79=13", "6*13=78" ]
Current State: 78:[51, 41, 6, 79], Operations: [] Exploring Operation: 51+41=92, Resulting Numbers: [6, 79, 92] Generated Node #2: [6, 79, 92] from Operation: 51+41=92 Current State: 78:[6, 79, 92], Operations: ['51+41=92'] Exploring Operation: 92-79=13, Resulting Numbers: [6, 13] Generated Node #3: [6, 13] from Operation: 92-79=13 Current State: 78:[6, 13], Operations: ['51+41=92', '92-79=13'] Exploring Operation: 6*13=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 40, 91, 27, 45 ]
59
[ "40+91=131", "27+45=72", "131-72=59" ]
Current State: 59:[40, 91, 27, 45], Operations: [] Exploring Operation: 40+91=131, Resulting Numbers: [27, 45, 131] Generated Node #2: [27, 45, 131] from Operation: 40+91=131 Current State: 59:[27, 45, 131], Operations: ['40+91=131'] Exploring Operation: 27+45=72, Resulting Numbers: [131, 72] Generated Node #3: [131, 72] from Operation: 27+45=72 Current State: 59:[131, 72], Operations: ['40+91=131', '27+45=72'] Exploring Operation: 131-72=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 60, 3, 7, 95 ]
82
[ "60/3=20", "7+95=102", "102-20=82" ]
Current State: 82:[60, 3, 7, 95], Operations: [] Exploring Operation: 60/3=20, Resulting Numbers: [7, 95, 20] Generated Node #2: [7, 95, 20] from Operation: 60/3=20 Current State: 82:[7, 95, 20], Operations: ['60/3=20'] Exploring Operation: 7+95=102, Resulting Numbers: [20, 102] Generated Node #3: [20, 102] from Operation: 7+95=102 Current State: 82:[20, 102], Operations: ['60/3=20', '7+95=102'] Exploring Operation: 102-20=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 72, 78, 63, 30 ]
12
[ "72-63=9", "78+30=108", "108/9=12" ]
Current State: 12:[72, 78, 63, 30], Operations: [] Exploring Operation: 72-63=9, Resulting Numbers: [78, 30, 9] Generated Node #2: [78, 30, 9] from Operation: 72-63=9 Current State: 12:[78, 30, 9], Operations: ['72-63=9'] Exploring Operation: 78+30=108, Resulting Numbers: [9, 108] Generated Node #3: [9, 108] from Operation: 78+30=108 Current State: 12:[9, 108], Operations: ['72-63=9', '78+30=108'] Exploring Operation: 108/9=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 72, 91, 28, 73 ]
64
[ "91-72=19", "73-28=45", "19+45=64" ]
Current State: 64:[72, 91, 28, 73], Operations: [] Exploring Operation: 91-72=19, Resulting Numbers: [28, 73, 19] Generated Node #2: [28, 73, 19] from Operation: 91-72=19 Current State: 64:[28, 73, 19], Operations: ['91-72=19'] Exploring Operation: 73-28=45, Resulting Numbers: [19, 45] Generated Node #3: [19, 45] from Operation: 73-28=45 Current State: 64:[19, 45], Operations: ['91-72=19', '73-28=45'] Exploring Operation: 19+45=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 99, 52, 46, 87 ]
87
[ "99-52=47", "47-46=1", "87*1=87" ]
Current State: 87:[99, 52, 46, 87], Operations: [] Exploring Operation: 99-52=47, Resulting Numbers: [46, 87, 47] Generated Node #2: [46, 87, 47] from Operation: 99-52=47 Current State: 87:[46, 87, 47], Operations: ['99-52=47'] Exploring Operation: 47-46=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 47-46=1 Current State: 87:[87, 1], Operations: ['99-52=47', '47-46=1'] Exploring Operation: 87*1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 73, 77, 14, 76 ]
94
[ "77-73=4", "14+76=90", "4+90=94" ]
Current State: 94:[73, 77, 14, 76], Operations: [] Exploring Operation: 77-73=4, Resulting Numbers: [14, 76, 4] Generated Node #2: [14, 76, 4] from Operation: 77-73=4 Current State: 94:[14, 76, 4], Operations: ['77-73=4'] Exploring Operation: 14+76=90, Resulting Numbers: [4, 90] Generated Node #3: [4, 90] from Operation: 14+76=90 Current State: 94:[4, 90], Operations: ['77-73=4', '14+76=90'] Exploring Operation: 4+90=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 50, 21, 83, 31 ]
100
[ "83-21=62", "50*62=3100", "3100/31=100" ]
Current State: 100:[50, 21, 83, 31], Operations: [] Exploring Operation: 83-21=62, Resulting Numbers: [50, 31, 62] Generated Node #2: [50, 31, 62] from Operation: 83-21=62 Current State: 100:[50, 31, 62], Operations: ['83-21=62'] Exploring Operation: 50*62=3100, Resulting Numbers: [31, 3100] Generated Node #3: [31, 3100] from Operation: 50*62=3100 Current State: 100:[31, 3100], Operations: ['83-21=62', '50*62=3100'] Exploring Operation: 3100/31=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 31, 97, 32, 45 ]
51
[ "31+97=128", "32+45=77", "128-77=51" ]
Current State: 51:[31, 97, 32, 45], Operations: [] Exploring Operation: 31+97=128, Resulting Numbers: [32, 45, 128] Generated Node #2: [32, 45, 128] from Operation: 31+97=128 Current State: 51:[32, 45, 128], Operations: ['31+97=128'] Exploring Operation: 32+45=77, Resulting Numbers: [128, 77] Generated Node #3: [128, 77] from Operation: 32+45=77 Current State: 51:[128, 77], Operations: ['31+97=128', '32+45=77'] Exploring Operation: 128-77=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 72, 83, 90, 19 ]
84
[ "72+83=155", "90-19=71", "155-71=84" ]
Current State: 84:[72, 83, 90, 19], Operations: [] Exploring Operation: 72+83=155, Resulting Numbers: [90, 19, 155] Generated Node #2: [90, 19, 155] from Operation: 72+83=155 Current State: 84:[90, 19, 155], Operations: ['72+83=155'] Exploring Operation: 90-19=71, Resulting Numbers: [155, 71] Generated Node #3: [155, 71] from Operation: 90-19=71 Current State: 84:[155, 71], Operations: ['72+83=155', '90-19=71'] Exploring Operation: 155-71=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 84, 1, 96, 30 ]
18
[ "84*1=84", "96-30=66", "84-66=18" ]
Current State: 18:[84, 1, 96, 30], Operations: [] Exploring Operation: 84*1=84, Resulting Numbers: [96, 30, 84] Generated Node #2: [96, 30, 84] from Operation: 84*1=84 Current State: 18:[96, 30, 84], Operations: ['84*1=84'] Exploring Operation: 96-30=66, Resulting Numbers: [84, 66] Generated Node #3: [84, 66] from Operation: 96-30=66 Current State: 18:[84, 66], Operations: ['84*1=84', '96-30=66'] Exploring Operation: 84-66=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 38, 53, 48, 20 ]
42
[ "53-48=5", "20/5=4", "38+4=42" ]
Current State: 42:[38, 53, 48, 20], Operations: [] Exploring Operation: 53-48=5, Resulting Numbers: [38, 20, 5] Generated Node #2: [38, 20, 5] from Operation: 53-48=5 Current State: 42:[38, 20, 5], Operations: ['53-48=5'] Exploring Operation: 20/5=4, Resulting Numbers: [38, 4] Generated Node #3: [38, 4] from Operation: 20/5=4 Current State: 42:[38, 4], Operations: ['53-48=5', '20/5=4'] Exploring Operation: 38+4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 34, 58, 68, 28 ]
84
[ "68/34=2", "58+28=86", "86-2=84" ]
Current State: 84:[34, 58, 68, 28], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [58, 28, 2] Generated Node #2: [58, 28, 2] from Operation: 68/34=2 Current State: 84:[58, 28, 2], Operations: ['68/34=2'] Exploring Operation: 58+28=86, Resulting Numbers: [2, 86] Generated Node #3: [2, 86] from Operation: 58+28=86 Current State: 84:[2, 86], Operations: ['68/34=2', '58+28=86'] Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 8, 40, 16, 66 ]
80
[ "40+16=56", "66-56=10", "8*10=80" ]
Current State: 80:[8, 40, 16, 66], Operations: [] Exploring Operation: 40+16=56, Resulting Numbers: [8, 66, 56] Generated Node #2: [8, 66, 56] from Operation: 40+16=56 Current State: 80:[8, 66, 56], Operations: ['40+16=56'] Exploring Operation: 66-56=10, Resulting Numbers: [8, 10] Generated Node #3: [8, 10] from Operation: 66-56=10 Current State: 80:[8, 10], Operations: ['40+16=56', '66-56=10'] Exploring Operation: 8*10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 87, 80, 70, 77 ]
59
[ "87-80=7", "77/7=11", "70-11=59" ]
Current State: 59:[87, 80, 70, 77], Operations: [] Exploring Operation: 87-80=7, Resulting Numbers: [70, 77, 7] Generated Node #2: [70, 77, 7] from Operation: 87-80=7 Current State: 59:[70, 77, 7], Operations: ['87-80=7'] Exploring Operation: 77/7=11, Resulting Numbers: [70, 11] Generated Node #3: [70, 11] from Operation: 77/7=11 Current State: 59:[70, 11], Operations: ['87-80=7', '77/7=11'] Exploring Operation: 70-11=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 94, 23, 32, 16 ]
69
[ "94+23=117", "32+16=48", "117-48=69" ]
Current State: 69:[94, 23, 32, 16], Operations: [] Exploring Operation: 94+23=117, Resulting Numbers: [32, 16, 117] Generated Node #2: [32, 16, 117] from Operation: 94+23=117 Current State: 69:[32, 16, 117], Operations: ['94+23=117'] Exploring Operation: 32+16=48, Resulting Numbers: [117, 48] Generated Node #3: [117, 48] from Operation: 32+16=48 Current State: 69:[117, 48], Operations: ['94+23=117', '32+16=48'] Exploring Operation: 117-48=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 89, 70, 36, 76 ]
95
[ "76-70=6", "36/6=6", "89+6=95" ]
Current State: 95:[89, 70, 36, 76], Operations: [] Exploring Operation: 76-70=6, Resulting Numbers: [89, 36, 6] Generated Node #2: [89, 36, 6] from Operation: 76-70=6 Current State: 95:[89, 36, 6], Operations: ['76-70=6'] Exploring Operation: 36/6=6, Resulting Numbers: [89, 6] Generated Node #3: [89, 6] from Operation: 36/6=6 Current State: 95:[89, 6], Operations: ['76-70=6', '36/6=6'] Exploring Operation: 89+6=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 10, 54, 85, 7 ]
67
[ "10-7=3", "54/3=18", "85-18=67" ]
Current State: 67:[10, 54, 85, 7], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [54, 85, 3] Generated Node #2: [54, 85, 3] from Operation: 10-7=3 Current State: 67:[54, 85, 3], Operations: ['10-7=3'] Exploring Operation: 54/3=18, Resulting Numbers: [85, 18] Generated Node #3: [85, 18] from Operation: 54/3=18 Current State: 67:[85, 18], Operations: ['10-7=3', '54/3=18'] Exploring Operation: 85-18=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 37, 2, 75, 34 ]
34
[ "37*2=74", "75-74=1", "34*1=34" ]
Current State: 34:[37, 2, 75, 34], Operations: [] Exploring Operation: 37*2=74, Resulting Numbers: [75, 34, 74] Generated Node #2: [75, 34, 74] from Operation: 37*2=74 Current State: 34:[75, 34, 74], Operations: ['37*2=74'] Exploring Operation: 75-74=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 75-74=1 Current State: 34:[34, 1], Operations: ['37*2=74', '75-74=1'] Exploring Operation: 34*1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 53, 47, 31, 90 ]
96
[ "53-47=6", "31*6=186", "186-90=96" ]
Current State: 96:[53, 47, 31, 90], Operations: [] Exploring Operation: 53-47=6, Resulting Numbers: [31, 90, 6] Generated Node #2: [31, 90, 6] from Operation: 53-47=6 Current State: 96:[31, 90, 6], Operations: ['53-47=6'] Exploring Operation: 31*6=186, Resulting Numbers: [90, 186] Generated Node #3: [90, 186] from Operation: 31*6=186 Current State: 96:[90, 186], Operations: ['53-47=6', '31*6=186'] Exploring Operation: 186-90=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 10, 90, 18, 8 ]
30
[ "90/18=5", "8*5=40", "40-10=30" ]
Current State: 30:[10, 90, 18, 8], Operations: [] Exploring Operation: 90/18=5, Resulting Numbers: [10, 8, 5] Generated Node #2: [10, 8, 5] from Operation: 90/18=5 Current State: 30:[10, 8, 5], Operations: ['90/18=5'] Exploring Operation: 8*5=40, Resulting Numbers: [10, 40] Generated Node #3: [10, 40] from Operation: 8*5=40 Current State: 30:[10, 40], Operations: ['90/18=5', '8*5=40'] Exploring Operation: 40-10=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 71, 2, 14, 94 ]
30
[ "94-71=23", "14/2=7", "23+7=30" ]
Current State: 30:[71, 2, 14, 94], Operations: [] Exploring Operation: 94-71=23, Resulting Numbers: [2, 14, 23] Generated Node #2: [2, 14, 23] from Operation: 94-71=23 Current State: 30:[2, 14, 23], Operations: ['94-71=23'] Exploring Operation: 14/2=7, Resulting Numbers: [23, 7] Generated Node #3: [23, 7] from Operation: 14/2=7 Current State: 30:[23, 7], Operations: ['94-71=23', '14/2=7'] Exploring Operation: 23+7=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 26, 56, 76, 47 ]
53
[ "26+56=82", "76-47=29", "82-29=53" ]
Current State: 53:[26, 56, 76, 47], Operations: [] Exploring Operation: 26+56=82, Resulting Numbers: [76, 47, 82] Generated Node #2: [76, 47, 82] from Operation: 26+56=82 Current State: 53:[76, 47, 82], Operations: ['26+56=82'] Exploring Operation: 76-47=29, Resulting Numbers: [82, 29] Generated Node #3: [82, 29] from Operation: 76-47=29 Current State: 53:[82, 29], Operations: ['26+56=82', '76-47=29'] Exploring Operation: 82-29=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 50, 36, 40, 53 ]
12
[ "53-50=3", "40-36=4", "3*4=12" ]
Current State: 12:[50, 36, 40, 53], Operations: [] Exploring Operation: 53-50=3, Resulting Numbers: [36, 40, 3] Generated Node #2: [36, 40, 3] from Operation: 53-50=3 Current State: 12:[36, 40, 3], Operations: ['53-50=3'] Exploring Operation: 40-36=4, Resulting Numbers: [3, 4] Generated Node #3: [3, 4] from Operation: 40-36=4 Current State: 12:[3, 4], Operations: ['53-50=3', '40-36=4'] Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 49, 33, 41, 38 ]
36
[ "49+33=82", "82/41=2", "38-2=36" ]
Current State: 36:[49, 33, 41, 38], Operations: [] Exploring Operation: 49+33=82, Resulting Numbers: [41, 38, 82] Generated Node #2: [41, 38, 82] from Operation: 49+33=82 Current State: 36:[41, 38, 82], Operations: ['49+33=82'] Exploring Operation: 82/41=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 82/41=2 Current State: 36:[38, 2], Operations: ['49+33=82', '82/41=2'] Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 92, 87, 75, 66 ]
14
[ "92-87=5", "75-66=9", "5+9=14" ]
Current State: 14:[92, 87, 75, 66], Operations: [] Exploring Operation: 92-87=5, Resulting Numbers: [75, 66, 5] Generated Node #2: [75, 66, 5] from Operation: 92-87=5 Current State: 14:[75, 66, 5], Operations: ['92-87=5'] Exploring Operation: 75-66=9, Resulting Numbers: [5, 9] Generated Node #3: [5, 9] from Operation: 75-66=9 Current State: 14:[5, 9], Operations: ['92-87=5', '75-66=9'] Exploring Operation: 5+9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 41, 7, 19, 69 ]
63
[ "41+19=60", "69-60=9", "7*9=63" ]
Current State: 63:[41, 7, 19, 69], Operations: [] Exploring Operation: 41+19=60, Resulting Numbers: [7, 69, 60] Generated Node #2: [7, 69, 60] from Operation: 41+19=60 Current State: 63:[7, 69, 60], Operations: ['41+19=60'] Exploring Operation: 69-60=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 69-60=9 Current State: 63:[7, 9], Operations: ['41+19=60', '69-60=9'] Exploring Operation: 7*9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 75, 6, 19, 7 ]
73
[ "19-7=12", "12/6=2", "75-2=73" ]
Current State: 73:[75, 6, 19, 7], Operations: [] Exploring Operation: 19-7=12, Resulting Numbers: [75, 6, 12] Generated Node #2: [75, 6, 12] from Operation: 19-7=12 Current State: 73:[75, 6, 12], Operations: ['19-7=12'] Exploring Operation: 12/6=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 12/6=2 Current State: 73:[75, 2], Operations: ['19-7=12', '12/6=2'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 40, 14, 92, 8 ]
83
[ "40/8=5", "92-14=78", "5+78=83" ]
Current State: 83:[40, 14, 92, 8], Operations: [] Exploring Operation: 40/8=5, Resulting Numbers: [14, 92, 5] Generated Node #2: [14, 92, 5] from Operation: 40/8=5 Current State: 83:[14, 92, 5], Operations: ['40/8=5'] Exploring Operation: 92-14=78, Resulting Numbers: [5, 78] Generated Node #3: [5, 78] from Operation: 92-14=78 Current State: 83:[5, 78], Operations: ['40/8=5', '92-14=78'] Exploring Operation: 5+78=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 97, 13, 34, 12 ]
25
[ "97+34=131", "13*12=156", "156-131=25" ]
Current State: 25:[97, 13, 34, 12], Operations: [] Exploring Operation: 97+34=131, Resulting Numbers: [13, 12, 131] Generated Node #2: [13, 12, 131] from Operation: 97+34=131 Current State: 25:[13, 12, 131], Operations: ['97+34=131'] Exploring Operation: 13*12=156, Resulting Numbers: [131, 156] Generated Node #3: [131, 156] from Operation: 13*12=156 Current State: 25:[131, 156], Operations: ['97+34=131', '13*12=156'] Exploring Operation: 156-131=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 21, 74, 70, 35 ]
18
[ "74-21=53", "70-35=35", "53-35=18" ]
Current State: 18:[21, 74, 70, 35], Operations: [] Exploring Operation: 74-21=53, Resulting Numbers: [70, 35, 53] Generated Node #2: [70, 35, 53] from Operation: 74-21=53 Current State: 18:[70, 35, 53], Operations: ['74-21=53'] Exploring Operation: 70-35=35, Resulting Numbers: [53, 35] Generated Node #3: [53, 35] from Operation: 70-35=35 Current State: 18:[53, 35], Operations: ['74-21=53', '70-35=35'] Exploring Operation: 53-35=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 8, 27, 10, 1 ]
11
[ "10-1=9", "27/9=3", "8+3=11" ]
Current State: 11:[8, 27, 10, 1], Operations: [] Exploring Operation: 10-1=9, Resulting Numbers: [8, 27, 9] Generated Node #2: [8, 27, 9] from Operation: 10-1=9 Current State: 11:[8, 27, 9], Operations: ['10-1=9'] Exploring Operation: 27/9=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 27/9=3 Current State: 11:[8, 3], Operations: ['10-1=9', '27/9=3'] Exploring Operation: 8+3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 9, 83, 31, 28 ]
95
[ "9+83=92", "31-28=3", "92+3=95" ]
Current State: 95:[9, 83, 31, 28], Operations: [] Exploring Operation: 9+83=92, Resulting Numbers: [31, 28, 92] Generated Node #2: [31, 28, 92] from Operation: 9+83=92 Current State: 95:[31, 28, 92], Operations: ['9+83=92'] Exploring Operation: 31-28=3, Resulting Numbers: [92, 3] Generated Node #3: [92, 3] from Operation: 31-28=3 Current State: 95:[92, 3], Operations: ['9+83=92', '31-28=3'] Exploring Operation: 92+3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 10, 40, 83, 5 ]
84
[ "40/10=4", "83+5=88", "88-4=84" ]
Current State: 84:[10, 40, 83, 5], Operations: [] Exploring Operation: 40/10=4, Resulting Numbers: [83, 5, 4] Generated Node #2: [83, 5, 4] from Operation: 40/10=4 Current State: 84:[83, 5, 4], Operations: ['40/10=4'] Exploring Operation: 83+5=88, Resulting Numbers: [4, 88] Generated Node #3: [4, 88] from Operation: 83+5=88 Current State: 84:[4, 88], Operations: ['40/10=4', '83+5=88'] Exploring Operation: 88-4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 62, 6, 47, 74 ]
95
[ "62+6=68", "74-47=27", "68+27=95" ]
Current State: 95:[62, 6, 47, 74], Operations: [] Exploring Operation: 62+6=68, Resulting Numbers: [47, 74, 68] Generated Node #2: [47, 74, 68] from Operation: 62+6=68 Current State: 95:[47, 74, 68], Operations: ['62+6=68'] Exploring Operation: 74-47=27, Resulting Numbers: [68, 27] Generated Node #3: [68, 27] from Operation: 74-47=27 Current State: 95:[68, 27], Operations: ['62+6=68', '74-47=27'] Exploring Operation: 68+27=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 70, 74, 26, 11 ]
60
[ "74-70=4", "26-11=15", "4*15=60" ]
Current State: 60:[70, 74, 26, 11], Operations: [] Exploring Operation: 74-70=4, Resulting Numbers: [26, 11, 4] Generated Node #2: [26, 11, 4] from Operation: 74-70=4 Current State: 60:[26, 11, 4], Operations: ['74-70=4'] Exploring Operation: 26-11=15, Resulting Numbers: [4, 15] Generated Node #3: [4, 15] from Operation: 26-11=15 Current State: 60:[4, 15], Operations: ['74-70=4', '26-11=15'] Exploring Operation: 4*15=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 32, 56, 1, 52 ]
77
[ "56-32=24", "1+52=53", "24+53=77" ]
Current State: 77:[32, 56, 1, 52], Operations: [] Exploring Operation: 56-32=24, Resulting Numbers: [1, 52, 24] Generated Node #2: [1, 52, 24] from Operation: 56-32=24 Current State: 77:[1, 52, 24], Operations: ['56-32=24'] Exploring Operation: 1+52=53, Resulting Numbers: [24, 53] Generated Node #3: [24, 53] from Operation: 1+52=53 Current State: 77:[24, 53], Operations: ['56-32=24', '1+52=53'] Exploring Operation: 24+53=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 86, 84, 5, 80 ]
85
[ "86+84=170", "5+80=85", "170-85=85" ]
Current State: 85:[86, 84, 5, 80], Operations: [] Exploring Operation: 86+84=170, Resulting Numbers: [5, 80, 170] Generated Node #2: [5, 80, 170] from Operation: 86+84=170 Current State: 85:[5, 80, 170], Operations: ['86+84=170'] Exploring Operation: 5+80=85, Resulting Numbers: [170, 85] Generated Node #3: [170, 85] from Operation: 5+80=85 Current State: 85:[170, 85], Operations: ['86+84=170', '5+80=85'] Exploring Operation: 170-85=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 15, 5, 55, 48 ]
89
[ "15/5=3", "48*3=144", "144-55=89" ]
Current State: 89:[15, 5, 55, 48], Operations: [] Exploring Operation: 15/5=3, Resulting Numbers: [55, 48, 3] Generated Node #2: [55, 48, 3] from Operation: 15/5=3 Current State: 89:[55, 48, 3], Operations: ['15/5=3'] Exploring Operation: 48*3=144, Resulting Numbers: [55, 144] Generated Node #3: [55, 144] from Operation: 48*3=144 Current State: 89:[55, 144], Operations: ['15/5=3', '48*3=144'] Exploring Operation: 144-55=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 22, 45, 18, 3 ]
57
[ "22-18=4", "3*4=12", "45+12=57" ]
Current State: 57:[22, 45, 18, 3], Operations: [] Exploring Operation: 22-18=4, Resulting Numbers: [45, 3, 4] Generated Node #2: [45, 3, 4] from Operation: 22-18=4 Current State: 57:[45, 3, 4], Operations: ['22-18=4'] Exploring Operation: 3*4=12, Resulting Numbers: [45, 12] Generated Node #3: [45, 12] from Operation: 3*4=12 Current State: 57:[45, 12], Operations: ['22-18=4', '3*4=12'] Exploring Operation: 45+12=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 12, 23, 53, 33 ]
50
[ "23-12=11", "33/11=3", "53-3=50" ]
Current State: 50:[12, 23, 53, 33], Operations: [] Exploring Operation: 23-12=11, Resulting Numbers: [53, 33, 11] Generated Node #2: [53, 33, 11] from Operation: 23-12=11 Current State: 50:[53, 33, 11], Operations: ['23-12=11'] Exploring Operation: 33/11=3, Resulting Numbers: [53, 3] Generated Node #3: [53, 3] from Operation: 33/11=3 Current State: 50:[53, 3], Operations: ['23-12=11', '33/11=3'] Exploring Operation: 53-3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 10, 40, 9, 8 ]
32
[ "10-9=1", "40-8=32", "1*32=32" ]
Current State: 32:[10, 40, 9, 8], Operations: [] Exploring Operation: 10-9=1, Resulting Numbers: [40, 8, 1] Generated Node #2: [40, 8, 1] from Operation: 10-9=1 Current State: 32:[40, 8, 1], Operations: ['10-9=1'] Exploring Operation: 40-8=32, Resulting Numbers: [1, 32] Generated Node #3: [1, 32] from Operation: 40-8=32 Current State: 32:[1, 32], Operations: ['10-9=1', '40-8=32'] Exploring Operation: 1*32=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 11, 50, 95, 7 ]
65
[ "11*50=550", "550-95=455", "455/7=65" ]
Current State: 65:[11, 50, 95, 7], Operations: [] Exploring Operation: 11*50=550, Resulting Numbers: [95, 7, 550] Generated Node #2: [95, 7, 550] from Operation: 11*50=550 Current State: 65:[95, 7, 550], Operations: ['11*50=550'] Exploring Operation: 550-95=455, Resulting Numbers: [7, 455] Generated Node #3: [7, 455] from Operation: 550-95=455 Current State: 65:[7, 455], Operations: ['11*50=550', '550-95=455'] Exploring Operation: 455/7=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 72, 28, 70, 48 ]
18
[ "72+28=100", "70+48=118", "118-100=18" ]
Current State: 18:[72, 28, 70, 48], Operations: [] Exploring Operation: 72+28=100, Resulting Numbers: [70, 48, 100] Generated Node #2: [70, 48, 100] from Operation: 72+28=100 Current State: 18:[70, 48, 100], Operations: ['72+28=100'] Exploring Operation: 70+48=118, Resulting Numbers: [100, 118] Generated Node #3: [100, 118] from Operation: 70+48=118 Current State: 18:[100, 118], Operations: ['72+28=100', '70+48=118'] Exploring Operation: 118-100=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 30, 23, 7, 17 ]
16
[ "30-23=7", "7/7=1", "17-1=16" ]
Current State: 16:[30, 23, 7, 17], Operations: [] Exploring Operation: 30-23=7, Resulting Numbers: [7, 17, 7] Generated Node #2: [7, 17, 7] from Operation: 30-23=7 Current State: 16:[7, 17, 7], Operations: ['30-23=7'] Exploring Operation: 7/7=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 7/7=1 Current State: 16:[17, 1], Operations: ['30-23=7', '7/7=1'] Exploring Operation: 17-1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 4, 6, 21, 20 ]
35
[ "20-6=14", "4*14=56", "56-21=35" ]
Current State: 35:[4, 6, 21, 20], Operations: [] Exploring Operation: 20-6=14, Resulting Numbers: [4, 21, 14] Generated Node #2: [4, 21, 14] from Operation: 20-6=14 Current State: 35:[4, 21, 14], Operations: ['20-6=14'] Exploring Operation: 4*14=56, Resulting Numbers: [21, 56] Generated Node #3: [21, 56] from Operation: 4*14=56 Current State: 35:[21, 56], Operations: ['20-6=14', '4*14=56'] Exploring Operation: 56-21=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4