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
[ 72, 2, 56, 9 ]
29
[ "72/2=36", "56+9=65", "65-36=29" ]
Current State: 29:[72, 2, 56, 9], Operations: [] Exploring Operation: 72/2=36, Resulting Numbers: [56, 9, 36] Generated Node #2: [56, 9, 36] from Operation: 72/2=36 Current State: 29:[56, 9, 36], Operations: ['72/2=36'] Exploring Operation: 56+9=65, Resulting Numbers: [36, 65] Generated Node #3: [36, 65] from Operation: 56+9=65 Current State: 29:[36, 65], Operations: ['72/2=36', '56+9=65'] Exploring Operation: 65-36=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 2, 14, 79, 7 ]
80
[ "14/2=7", "7/7=1", "79+1=80" ]
Current State: 80:[2, 14, 79, 7], Operations: [] Exploring Operation: 14/2=7, Resulting Numbers: [79, 7, 7] Generated Node #2: [79, 7, 7] from Operation: 14/2=7 Current State: 80:[79, 7, 7], Operations: ['14/2=7'] Exploring Operation: 7/7=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 7/7=1 Current State: 80:[79, 1], Operations: ['14/2=7', '7/7=1'] Exploring Operation: 79+1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 24, 89, 48, 31 ]
82
[ "89-24=65", "48-31=17", "65+17=82" ]
Current State: 82:[24, 89, 48, 31], Operations: [] Exploring Operation: 89-24=65, Resulting Numbers: [48, 31, 65] Generated Node #2: [48, 31, 65] from Operation: 89-24=65 Current State: 82:[48, 31, 65], Operations: ['89-24=65'] Exploring Operation: 48-31=17, Resulting Numbers: [65, 17] Generated Node #3: [65, 17] from Operation: 48-31=17 Current State: 82:[65, 17], Operations: ['89-24=65', '48-31=17'] Exploring Operation: 65+17=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 40, 24, 56, 18 ]
12
[ "56-40=16", "18*16=288", "288/24=12" ]
Current State: 12:[40, 24, 56, 18], Operations: [] Exploring Operation: 56-40=16, Resulting Numbers: [24, 18, 16] Generated Node #2: [24, 18, 16] from Operation: 56-40=16 Current State: 12:[24, 18, 16], Operations: ['56-40=16'] Exploring Operation: 18*16=288, Resulting Numbers: [24, 288] Generated Node #3: [24, 288] from Operation: 18*16=288 Current State: 12:[24, 288], Operations: ['56-40=16', '18*16=288'] Exploring Operation: 288/24=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 58, 80, 47, 68 ]
93
[ "80-58=22", "47+68=115", "115-22=93" ]
Current State: 93:[58, 80, 47, 68], Operations: [] Exploring Operation: 80-58=22, Resulting Numbers: [47, 68, 22] Generated Node #2: [47, 68, 22] from Operation: 80-58=22 Current State: 93:[47, 68, 22], Operations: ['80-58=22'] Exploring Operation: 47+68=115, Resulting Numbers: [22, 115] Generated Node #3: [22, 115] from Operation: 47+68=115 Current State: 93:[22, 115], Operations: ['80-58=22', '47+68=115'] Exploring Operation: 115-22=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 98, 26, 8, 49 ]
10
[ "98*8=784", "784/49=16", "26-16=10" ]
Current State: 10:[98, 26, 8, 49], Operations: [] Exploring Operation: 98*8=784, Resulting Numbers: [26, 49, 784] Generated Node #2: [26, 49, 784] from Operation: 98*8=784 Current State: 10:[26, 49, 784], Operations: ['98*8=784'] Exploring Operation: 784/49=16, Resulting Numbers: [26, 16] Generated Node #3: [26, 16] from Operation: 784/49=16 Current State: 10:[26, 16], Operations: ['98*8=784', '784/49=16'] Exploring Operation: 26-16=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 22, 37, 42, 20 ]
56
[ "37-22=15", "42*20=840", "840/15=56" ]
Current State: 56:[22, 37, 42, 20], Operations: [] Exploring Operation: 37-22=15, Resulting Numbers: [42, 20, 15] Generated Node #2: [42, 20, 15] from Operation: 37-22=15 Current State: 56:[42, 20, 15], Operations: ['37-22=15'] Exploring Operation: 42*20=840, Resulting Numbers: [15, 840] Generated Node #3: [15, 840] from Operation: 42*20=840 Current State: 56:[15, 840], Operations: ['37-22=15', '42*20=840'] Exploring Operation: 840/15=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 84, 44, 13, 10 ]
17
[ "84-44=40", "13+10=23", "40-23=17" ]
Current State: 17:[84, 44, 13, 10], Operations: [] Exploring Operation: 84-44=40, Resulting Numbers: [13, 10, 40] Generated Node #2: [13, 10, 40] from Operation: 84-44=40 Current State: 17:[13, 10, 40], Operations: ['84-44=40'] Exploring Operation: 13+10=23, Resulting Numbers: [40, 23] Generated Node #3: [40, 23] from Operation: 13+10=23 Current State: 17:[40, 23], Operations: ['84-44=40', '13+10=23'] Exploring Operation: 40-23=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 97, 1, 58, 4 ]
31
[ "97+58=155", "1+4=5", "155/5=31" ]
Current State: 31:[97, 1, 58, 4], Operations: [] Exploring Operation: 97+58=155, Resulting Numbers: [1, 4, 155] Generated Node #2: [1, 4, 155] from Operation: 97+58=155 Current State: 31:[1, 4, 155], Operations: ['97+58=155'] Exploring Operation: 1+4=5, Resulting Numbers: [155, 5] Generated Node #3: [155, 5] from Operation: 1+4=5 Current State: 31:[155, 5], Operations: ['97+58=155', '1+4=5'] Exploring Operation: 155/5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 53, 22, 84, 60 ]
55
[ "53-22=31", "84-60=24", "31+24=55" ]
Current State: 55:[53, 22, 84, 60], Operations: [] Exploring Operation: 53-22=31, Resulting Numbers: [84, 60, 31] Generated Node #2: [84, 60, 31] from Operation: 53-22=31 Current State: 55:[84, 60, 31], Operations: ['53-22=31'] Exploring Operation: 84-60=24, Resulting Numbers: [31, 24] Generated Node #3: [31, 24] from Operation: 84-60=24 Current State: 55:[31, 24], Operations: ['53-22=31', '84-60=24'] Exploring Operation: 31+24=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 3, 88, 80, 31 ]
26
[ "88-3=85", "80+31=111", "111-85=26" ]
Current State: 26:[3, 88, 80, 31], Operations: [] Exploring Operation: 88-3=85, Resulting Numbers: [80, 31, 85] Generated Node #2: [80, 31, 85] from Operation: 88-3=85 Current State: 26:[80, 31, 85], Operations: ['88-3=85'] Exploring Operation: 80+31=111, Resulting Numbers: [85, 111] Generated Node #3: [85, 111] from Operation: 80+31=111 Current State: 26:[85, 111], Operations: ['88-3=85', '80+31=111'] Exploring Operation: 111-85=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 40, 51, 17, 62 ]
57
[ "40+62=102", "102/17=6", "51+6=57" ]
Current State: 57:[40, 51, 17, 62], Operations: [] Exploring Operation: 40+62=102, Resulting Numbers: [51, 17, 102] Generated Node #2: [51, 17, 102] from Operation: 40+62=102 Current State: 57:[51, 17, 102], Operations: ['40+62=102'] Exploring Operation: 102/17=6, Resulting Numbers: [51, 6] Generated Node #3: [51, 6] from Operation: 102/17=6 Current State: 57:[51, 6], Operations: ['40+62=102', '102/17=6'] Exploring Operation: 51+6=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 94, 79, 12, 24 ]
64
[ "79*24=1896", "1896/12=158", "158-94=64" ]
Current State: 64:[94, 79, 12, 24], Operations: [] Exploring Operation: 79*24=1896, Resulting Numbers: [94, 12, 1896] Generated Node #2: [94, 12, 1896] from Operation: 79*24=1896 Current State: 64:[94, 12, 1896], Operations: ['79*24=1896'] Exploring Operation: 1896/12=158, Resulting Numbers: [94, 158] Generated Node #3: [94, 158] from Operation: 1896/12=158 Current State: 64:[94, 158], Operations: ['79*24=1896', '1896/12=158'] Exploring Operation: 158-94=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 34, 2, 42, 30 ]
29
[ "34/2=17", "42-30=12", "17+12=29" ]
Current State: 29:[34, 2, 42, 30], Operations: [] Exploring Operation: 34/2=17, Resulting Numbers: [42, 30, 17] Generated Node #2: [42, 30, 17] from Operation: 34/2=17 Current State: 29:[42, 30, 17], Operations: ['34/2=17'] Exploring Operation: 42-30=12, Resulting Numbers: [17, 12] Generated Node #3: [17, 12] from Operation: 42-30=12 Current State: 29:[17, 12], Operations: ['34/2=17', '42-30=12'] Exploring Operation: 17+12=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 88, 16, 85, 90 ]
99
[ "88+16=104", "90-85=5", "104-5=99" ]
Current State: 99:[88, 16, 85, 90], Operations: [] Exploring Operation: 88+16=104, Resulting Numbers: [85, 90, 104] Generated Node #2: [85, 90, 104] from Operation: 88+16=104 Current State: 99:[85, 90, 104], Operations: ['88+16=104'] Exploring Operation: 90-85=5, Resulting Numbers: [104, 5] Generated Node #3: [104, 5] from Operation: 90-85=5 Current State: 99:[104, 5], Operations: ['88+16=104', '90-85=5'] Exploring Operation: 104-5=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 6, 2, 24, 7 ]
29
[ "6*2=12", "24-7=17", "12+17=29" ]
Current State: 29:[6, 2, 24, 7], Operations: [] Exploring Operation: 6*2=12, Resulting Numbers: [24, 7, 12] Generated Node #2: [24, 7, 12] from Operation: 6*2=12 Current State: 29:[24, 7, 12], Operations: ['6*2=12'] Exploring Operation: 24-7=17, Resulting Numbers: [12, 17] Generated Node #3: [12, 17] from Operation: 24-7=17 Current State: 29:[12, 17], Operations: ['6*2=12', '24-7=17'] Exploring Operation: 12+17=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 25, 77, 95, 36 ]
43
[ "25+77=102", "95-36=59", "102-59=43" ]
Current State: 43:[25, 77, 95, 36], Operations: [] Exploring Operation: 25+77=102, Resulting Numbers: [95, 36, 102] Generated Node #2: [95, 36, 102] from Operation: 25+77=102 Current State: 43:[95, 36, 102], Operations: ['25+77=102'] Exploring Operation: 95-36=59, Resulting Numbers: [102, 59] Generated Node #3: [102, 59] from Operation: 95-36=59 Current State: 43:[102, 59], Operations: ['25+77=102', '95-36=59'] Exploring Operation: 102-59=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 1, 55, 40, 80 ]
94
[ "55-1=54", "80-40=40", "54+40=94" ]
Current State: 94:[1, 55, 40, 80], Operations: [] Exploring Operation: 55-1=54, Resulting Numbers: [40, 80, 54] Generated Node #2: [40, 80, 54] from Operation: 55-1=54 Current State: 94:[40, 80, 54], Operations: ['55-1=54'] Exploring Operation: 80-40=40, Resulting Numbers: [54, 40] Generated Node #3: [54, 40] from Operation: 80-40=40 Current State: 94:[54, 40], Operations: ['55-1=54', '80-40=40'] Exploring Operation: 54+40=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 89, 27, 28, 2 ]
91
[ "89+2=91", "28-27=1", "91*1=91" ]
Current State: 91:[89, 27, 28, 2], Operations: [] Exploring Operation: 89+2=91, Resulting Numbers: [27, 28, 91] Generated Node #2: [27, 28, 91] from Operation: 89+2=91 Current State: 91:[27, 28, 91], Operations: ['89+2=91'] Exploring Operation: 28-27=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 28-27=1 Current State: 91:[91, 1], Operations: ['89+2=91', '28-27=1'] Exploring Operation: 91*1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 23, 63, 17, 43 ]
82
[ "23*43=989", "63*17=1071", "1071-989=82" ]
Current State: 82:[23, 63, 17, 43], Operations: [] Exploring Operation: 23*43=989, Resulting Numbers: [63, 17, 989] Generated Node #2: [63, 17, 989] from Operation: 23*43=989 Current State: 82:[63, 17, 989], Operations: ['23*43=989'] Exploring Operation: 63*17=1071, Resulting Numbers: [989, 1071] Generated Node #3: [989, 1071] from Operation: 63*17=1071 Current State: 82:[989, 1071], Operations: ['23*43=989', '63*17=1071'] Exploring Operation: 1071-989=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 24, 22, 6, 4 ]
44
[ "24+22=46", "6-4=2", "46-2=44" ]
Current State: 44:[24, 22, 6, 4], Operations: [] Exploring Operation: 24+22=46, Resulting Numbers: [6, 4, 46] Generated Node #2: [6, 4, 46] from Operation: 24+22=46 Current State: 44:[6, 4, 46], Operations: ['24+22=46'] Exploring Operation: 6-4=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 6-4=2 Current State: 44:[46, 2], Operations: ['24+22=46', '6-4=2'] Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 10, 20, 45, 26 ]
75
[ "10*45=450", "26-20=6", "450/6=75" ]
Current State: 75:[10, 20, 45, 26], Operations: [] Exploring Operation: 10*45=450, Resulting Numbers: [20, 26, 450] Generated Node #2: [20, 26, 450] from Operation: 10*45=450 Current State: 75:[20, 26, 450], Operations: ['10*45=450'] Exploring Operation: 26-20=6, Resulting Numbers: [450, 6] Generated Node #3: [450, 6] from Operation: 26-20=6 Current State: 75:[450, 6], Operations: ['10*45=450', '26-20=6'] Exploring Operation: 450/6=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 29, 65, 30, 33 ]
58
[ "65-30=35", "35-33=2", "29*2=58" ]
Current State: 58:[29, 65, 30, 33], Operations: [] Exploring Operation: 65-30=35, Resulting Numbers: [29, 33, 35] Generated Node #2: [29, 33, 35] from Operation: 65-30=35 Current State: 58:[29, 33, 35], Operations: ['65-30=35'] Exploring Operation: 35-33=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 35-33=2 Current State: 58:[29, 2], Operations: ['65-30=35', '35-33=2'] Exploring Operation: 29*2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 71, 17, 54, 25 ]
24
[ "71-17=54", "54/54=1", "25-1=24" ]
Current State: 24:[71, 17, 54, 25], Operations: [] Exploring Operation: 71-17=54, Resulting Numbers: [54, 25, 54] Generated Node #2: [54, 25, 54] from Operation: 71-17=54 Current State: 24:[54, 25, 54], Operations: ['71-17=54'] Exploring Operation: 54/54=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 54/54=1 Current State: 24:[25, 1], Operations: ['71-17=54', '54/54=1'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 84, 77, 61, 72 ]
12
[ "72-61=11", "84*11=924", "924/77=12" ]
Current State: 12:[84, 77, 61, 72], Operations: [] Exploring Operation: 72-61=11, Resulting Numbers: [84, 77, 11] Generated Node #2: [84, 77, 11] from Operation: 72-61=11 Current State: 12:[84, 77, 11], Operations: ['72-61=11'] Exploring Operation: 84*11=924, Resulting Numbers: [77, 924] Generated Node #3: [77, 924] from Operation: 84*11=924 Current State: 12:[77, 924], Operations: ['72-61=11', '84*11=924'] Exploring Operation: 924/77=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 7, 15, 14, 35 ]
22
[ "14/7=2", "35-15=20", "2+20=22" ]
Current State: 22:[7, 15, 14, 35], Operations: [] Exploring Operation: 14/7=2, Resulting Numbers: [15, 35, 2] Generated Node #2: [15, 35, 2] from Operation: 14/7=2 Current State: 22:[15, 35, 2], Operations: ['14/7=2'] Exploring Operation: 35-15=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 35-15=20 Current State: 22:[2, 20], Operations: ['14/7=2', '35-15=20'] Exploring Operation: 2+20=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 3, 63, 37, 87 ]
58
[ "3+63=66", "37+87=124", "124-66=58" ]
Current State: 58:[3, 63, 37, 87], Operations: [] Exploring Operation: 3+63=66, Resulting Numbers: [37, 87, 66] Generated Node #2: [37, 87, 66] from Operation: 3+63=66 Current State: 58:[37, 87, 66], Operations: ['3+63=66'] Exploring Operation: 37+87=124, Resulting Numbers: [66, 124] Generated Node #3: [66, 124] from Operation: 37+87=124 Current State: 58:[66, 124], Operations: ['3+63=66', '37+87=124'] Exploring Operation: 124-66=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 69, 60, 86, 17 ]
78
[ "69-60=9", "86-17=69", "9+69=78" ]
Current State: 78:[69, 60, 86, 17], Operations: [] Exploring Operation: 69-60=9, Resulting Numbers: [86, 17, 9] Generated Node #2: [86, 17, 9] from Operation: 69-60=9 Current State: 78:[86, 17, 9], Operations: ['69-60=9'] Exploring Operation: 86-17=69, Resulting Numbers: [9, 69] Generated Node #3: [9, 69] from Operation: 86-17=69 Current State: 78:[9, 69], Operations: ['69-60=9', '86-17=69'] Exploring Operation: 9+69=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 14, 33, 36, 4 ]
97
[ "14+33=47", "36*4=144", "144-47=97" ]
Current State: 97:[14, 33, 36, 4], Operations: [] Exploring Operation: 14+33=47, Resulting Numbers: [36, 4, 47] Generated Node #2: [36, 4, 47] from Operation: 14+33=47 Current State: 97:[36, 4, 47], Operations: ['14+33=47'] Exploring Operation: 36*4=144, Resulting Numbers: [47, 144] Generated Node #3: [47, 144] from Operation: 36*4=144 Current State: 97:[47, 144], Operations: ['14+33=47', '36*4=144'] Exploring Operation: 144-47=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 78, 68, 10, 67 ]
33
[ "78-68=10", "10*10=100", "100-67=33" ]
Current State: 33:[78, 68, 10, 67], Operations: [] Exploring Operation: 78-68=10, Resulting Numbers: [10, 67, 10] Generated Node #2: [10, 67, 10] from Operation: 78-68=10 Current State: 33:[10, 67, 10], Operations: ['78-68=10'] Exploring Operation: 10*10=100, Resulting Numbers: [67, 100] Generated Node #3: [67, 100] from Operation: 10*10=100 Current State: 33:[67, 100], Operations: ['78-68=10', '10*10=100'] Exploring Operation: 100-67=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 41, 71, 28, 27 ]
67
[ "71*27=1917", "1917-41=1876", "1876/28=67" ]
Current State: 67:[41, 71, 28, 27], Operations: [] Exploring Operation: 71*27=1917, Resulting Numbers: [41, 28, 1917] Generated Node #2: [41, 28, 1917] from Operation: 71*27=1917 Current State: 67:[41, 28, 1917], Operations: ['71*27=1917'] Exploring Operation: 1917-41=1876, Resulting Numbers: [28, 1876] Generated Node #3: [28, 1876] from Operation: 1917-41=1876 Current State: 67:[28, 1876], Operations: ['71*27=1917', '1917-41=1876'] Exploring Operation: 1876/28=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 62, 97, 96, 36 ]
24
[ "62*36=2232", "96+2232=2328", "2328/97=24" ]
Current State: 24:[62, 97, 96, 36], Operations: [] Exploring Operation: 62*36=2232, Resulting Numbers: [97, 96, 2232] Generated Node #2: [97, 96, 2232] from Operation: 62*36=2232 Current State: 24:[97, 96, 2232], Operations: ['62*36=2232'] Exploring Operation: 96+2232=2328, Resulting Numbers: [97, 2328] Generated Node #3: [97, 2328] from Operation: 96+2232=2328 Current State: 24:[97, 2328], Operations: ['62*36=2232', '96+2232=2328'] Exploring Operation: 2328/97=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 97, 69, 80, 56 ]
88
[ "97*56=5432", "69*80=5520", "5520-5432=88" ]
Current State: 88:[97, 69, 80, 56], Operations: [] Exploring Operation: 97*56=5432, Resulting Numbers: [69, 80, 5432] Generated Node #2: [69, 80, 5432] from Operation: 97*56=5432 Current State: 88:[69, 80, 5432], Operations: ['97*56=5432'] Exploring Operation: 69*80=5520, Resulting Numbers: [5432, 5520] Generated Node #3: [5432, 5520] from Operation: 69*80=5520 Current State: 88:[5432, 5520], Operations: ['97*56=5432', '69*80=5520'] Exploring Operation: 5520-5432=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 89, 82, 89, 84 ]
77
[ "89-82=7", "84/7=12", "89-12=77" ]
Current State: 77:[89, 82, 89, 84], Operations: [] Exploring Operation: 89-82=7, Resulting Numbers: [84, 7] Generated Node #2: [84, 7] from Operation: 89-82=7 Current State: 77:[84, 7], Operations: ['89-82=7'] Exploring Operation: 84/7=12, Resulting Numbers: [12] 12,77 equal: Goal Reached Exploring Operation: 89-12=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 86, 24, 90, 34 ]
32
[ "86+34=120", "24*120=2880", "2880/90=32" ]
Current State: 32:[86, 24, 90, 34], Operations: [] Exploring Operation: 86+34=120, Resulting Numbers: [24, 90, 120] Generated Node #2: [24, 90, 120] from Operation: 86+34=120 Current State: 32:[24, 90, 120], Operations: ['86+34=120'] Exploring Operation: 24*120=2880, Resulting Numbers: [90, 2880] Generated Node #3: [90, 2880] from Operation: 24*120=2880 Current State: 32:[90, 2880], Operations: ['86+34=120', '24*120=2880'] Exploring Operation: 2880/90=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 10, 35, 82, 40 ]
84
[ "40-35=5", "10/5=2", "82+2=84" ]
Current State: 84:[10, 35, 82, 40], Operations: [] Exploring Operation: 40-35=5, Resulting Numbers: [10, 82, 5] Generated Node #2: [10, 82, 5] from Operation: 40-35=5 Current State: 84:[10, 82, 5], Operations: ['40-35=5'] Exploring Operation: 10/5=2, Resulting Numbers: [82, 2] Generated Node #3: [82, 2] from Operation: 10/5=2 Current State: 84:[82, 2], Operations: ['40-35=5', '10/5=2'] Exploring Operation: 82+2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 92, 89, 93, 87 ]
60
[ "92-89=3", "93+87=180", "180/3=60" ]
Current State: 60:[92, 89, 93, 87], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [93, 87, 3] Generated Node #2: [93, 87, 3] from Operation: 92-89=3 Current State: 60:[93, 87, 3], Operations: ['92-89=3'] Exploring Operation: 93+87=180, Resulting Numbers: [3, 180] Generated Node #3: [3, 180] from Operation: 93+87=180 Current State: 60:[3, 180], Operations: ['92-89=3', '93+87=180'] Exploring Operation: 180/3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 31, 42, 75, 44 ]
43
[ "75-31=44", "44/44=1", "42+1=43" ]
Current State: 43:[31, 42, 75, 44], Operations: [] Exploring Operation: 75-31=44, Resulting Numbers: [42, 44, 44] Generated Node #2: [42, 44, 44] from Operation: 75-31=44 Current State: 43:[42, 44, 44], Operations: ['75-31=44'] Exploring Operation: 44/44=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 44/44=1 Current State: 43:[42, 1], Operations: ['75-31=44', '44/44=1'] Exploring Operation: 42+1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 99, 97, 29, 18 ]
76
[ "99-97=2", "29*2=58", "18+58=76" ]
Current State: 76:[99, 97, 29, 18], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [29, 18, 2] Generated Node #2: [29, 18, 2] from Operation: 99-97=2 Current State: 76:[29, 18, 2], Operations: ['99-97=2'] Exploring Operation: 29*2=58, Resulting Numbers: [18, 58] Generated Node #3: [18, 58] from Operation: 29*2=58 Current State: 76:[18, 58], Operations: ['99-97=2', '29*2=58'] Exploring Operation: 18+58=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 13, 59, 31, 36 ]
51
[ "59-13=46", "36-31=5", "46+5=51" ]
Current State: 51:[13, 59, 31, 36], Operations: [] Exploring Operation: 59-13=46, Resulting Numbers: [31, 36, 46] Generated Node #2: [31, 36, 46] from Operation: 59-13=46 Current State: 51:[31, 36, 46], Operations: ['59-13=46'] Exploring Operation: 36-31=5, Resulting Numbers: [46, 5] Generated Node #3: [46, 5] from Operation: 36-31=5 Current State: 51:[46, 5], Operations: ['59-13=46', '36-31=5'] Exploring Operation: 46+5=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 81, 7, 25, 73 ]
31
[ "81-73=8", "7*8=56", "56-25=31" ]
Current State: 31:[81, 7, 25, 73], Operations: [] Exploring Operation: 81-73=8, Resulting Numbers: [7, 25, 8] Generated Node #2: [7, 25, 8] from Operation: 81-73=8 Current State: 31:[7, 25, 8], Operations: ['81-73=8'] Exploring Operation: 7*8=56, Resulting Numbers: [25, 56] Generated Node #3: [25, 56] from Operation: 7*8=56 Current State: 31:[25, 56], Operations: ['81-73=8', '7*8=56'] Exploring Operation: 56-25=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 99, 27, 1, 89 ]
37
[ "99+27=126", "1*89=89", "126-89=37" ]
Current State: 37:[99, 27, 1, 89], Operations: [] Exploring Operation: 99+27=126, Resulting Numbers: [1, 89, 126] Generated Node #2: [1, 89, 126] from Operation: 99+27=126 Current State: 37:[1, 89, 126], Operations: ['99+27=126'] Exploring Operation: 1*89=89, Resulting Numbers: [126, 89] Generated Node #3: [126, 89] from Operation: 1*89=89 Current State: 37:[126, 89], Operations: ['99+27=126', '1*89=89'] Exploring Operation: 126-89=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 19, 95, 97, 67 ]
24
[ "67-19=48", "97-95=2", "48/2=24" ]
Current State: 24:[19, 95, 97, 67], Operations: [] Exploring Operation: 67-19=48, Resulting Numbers: [95, 97, 48] Generated Node #2: [95, 97, 48] from Operation: 67-19=48 Current State: 24:[95, 97, 48], Operations: ['67-19=48'] Exploring Operation: 97-95=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 97-95=2 Current State: 24:[48, 2], Operations: ['67-19=48', '97-95=2'] Exploring Operation: 48/2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 12, 35, 58, 69 ]
22
[ "12*69=828", "828-58=770", "770/35=22" ]
Current State: 22:[12, 35, 58, 69], Operations: [] Exploring Operation: 12*69=828, Resulting Numbers: [35, 58, 828] Generated Node #2: [35, 58, 828] from Operation: 12*69=828 Current State: 22:[35, 58, 828], Operations: ['12*69=828'] Exploring Operation: 828-58=770, Resulting Numbers: [35, 770] Generated Node #3: [35, 770] from Operation: 828-58=770 Current State: 22:[35, 770], Operations: ['12*69=828', '828-58=770'] Exploring Operation: 770/35=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 62, 95, 46, 85 ]
72
[ "95-62=33", "85-46=39", "33+39=72" ]
Current State: 72:[62, 95, 46, 85], Operations: [] Exploring Operation: 95-62=33, Resulting Numbers: [46, 85, 33] Generated Node #2: [46, 85, 33] from Operation: 95-62=33 Current State: 72:[46, 85, 33], Operations: ['95-62=33'] Exploring Operation: 85-46=39, Resulting Numbers: [33, 39] Generated Node #3: [33, 39] from Operation: 85-46=39 Current State: 72:[33, 39], Operations: ['95-62=33', '85-46=39'] Exploring Operation: 33+39=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 63, 62, 16, 55 ]
39
[ "63-62=1", "55-16=39", "1*39=39" ]
Current State: 39:[63, 62, 16, 55], Operations: [] Exploring Operation: 63-62=1, Resulting Numbers: [16, 55, 1] Generated Node #2: [16, 55, 1] from Operation: 63-62=1 Current State: 39:[16, 55, 1], Operations: ['63-62=1'] Exploring Operation: 55-16=39, Resulting Numbers: [1, 39] Generated Node #3: [1, 39] from Operation: 55-16=39 Current State: 39:[1, 39], Operations: ['63-62=1', '55-16=39'] Exploring Operation: 1*39=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 93, 25, 75, 22 ]
15
[ "93-25=68", "75-22=53", "68-53=15" ]
Current State: 15:[93, 25, 75, 22], Operations: [] Exploring Operation: 93-25=68, Resulting Numbers: [75, 22, 68] Generated Node #2: [75, 22, 68] from Operation: 93-25=68 Current State: 15:[75, 22, 68], Operations: ['93-25=68'] Exploring Operation: 75-22=53, Resulting Numbers: [68, 53] Generated Node #3: [68, 53] from Operation: 75-22=53 Current State: 15:[68, 53], Operations: ['93-25=68', '75-22=53'] Exploring Operation: 68-53=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 41, 19, 68, 65 ]
48
[ "68+65=133", "133/19=7", "41+7=48" ]
Current State: 48:[41, 19, 68, 65], Operations: [] Exploring Operation: 68+65=133, Resulting Numbers: [41, 19, 133] Generated Node #2: [41, 19, 133] from Operation: 68+65=133 Current State: 48:[41, 19, 133], Operations: ['68+65=133'] Exploring Operation: 133/19=7, Resulting Numbers: [41, 7] Generated Node #3: [41, 7] from Operation: 133/19=7 Current State: 48:[41, 7], Operations: ['68+65=133', '133/19=7'] Exploring Operation: 41+7=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 42, 39, 90, 48 ]
46
[ "42-39=3", "90+48=138", "138/3=46" ]
Current State: 46:[42, 39, 90, 48], Operations: [] Exploring Operation: 42-39=3, Resulting Numbers: [90, 48, 3] Generated Node #2: [90, 48, 3] from Operation: 42-39=3 Current State: 46:[90, 48, 3], Operations: ['42-39=3'] Exploring Operation: 90+48=138, Resulting Numbers: [3, 138] Generated Node #3: [3, 138] from Operation: 90+48=138 Current State: 46:[3, 138], Operations: ['42-39=3', '90+48=138'] Exploring Operation: 138/3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 66, 23, 91, 33 ]
34
[ "66/33=2", "91-23=68", "68/2=34" ]
Current State: 34:[66, 23, 91, 33], Operations: [] Exploring Operation: 66/33=2, Resulting Numbers: [23, 91, 2] Generated Node #2: [23, 91, 2] from Operation: 66/33=2 Current State: 34:[23, 91, 2], Operations: ['66/33=2'] Exploring Operation: 91-23=68, Resulting Numbers: [2, 68] Generated Node #3: [2, 68] from Operation: 91-23=68 Current State: 34:[2, 68], Operations: ['66/33=2', '91-23=68'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 96, 91, 2, 25 ]
75
[ "96-91=5", "5-2=3", "25*3=75" ]
Current State: 75:[96, 91, 2, 25], Operations: [] Exploring Operation: 96-91=5, Resulting Numbers: [2, 25, 5] Generated Node #2: [2, 25, 5] from Operation: 96-91=5 Current State: 75:[2, 25, 5], Operations: ['96-91=5'] Exploring Operation: 5-2=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 5-2=3 Current State: 75:[25, 3], Operations: ['96-91=5', '5-2=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 27, 33, 21, 98 ]
75
[ "21*98=2058", "2058-33=2025", "2025/27=75" ]
Current State: 75:[27, 33, 21, 98], Operations: [] Exploring Operation: 21*98=2058, Resulting Numbers: [27, 33, 2058] Generated Node #2: [27, 33, 2058] from Operation: 21*98=2058 Current State: 75:[27, 33, 2058], Operations: ['21*98=2058'] Exploring Operation: 2058-33=2025, Resulting Numbers: [27, 2025] Generated Node #3: [27, 2025] from Operation: 2058-33=2025 Current State: 75:[27, 2025], Operations: ['21*98=2058', '2058-33=2025'] Exploring Operation: 2025/27=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 22, 7, 69, 18 ]
31
[ "22+69=91", "91/7=13", "18+13=31" ]
Current State: 31:[22, 7, 69, 18], Operations: [] Exploring Operation: 22+69=91, Resulting Numbers: [7, 18, 91] Generated Node #2: [7, 18, 91] from Operation: 22+69=91 Current State: 31:[7, 18, 91], Operations: ['22+69=91'] Exploring Operation: 91/7=13, Resulting Numbers: [18, 13] Generated Node #3: [18, 13] from Operation: 91/7=13 Current State: 31:[18, 13], Operations: ['22+69=91', '91/7=13'] Exploring Operation: 18+13=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 46, 10, 60, 8 ]
76
[ "10-8=2", "60/2=30", "46+30=76" ]
Current State: 76:[46, 10, 60, 8], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [46, 60, 2] Generated Node #2: [46, 60, 2] from Operation: 10-8=2 Current State: 76:[46, 60, 2], Operations: ['10-8=2'] Exploring Operation: 60/2=30, Resulting Numbers: [46, 30] Generated Node #3: [46, 30] from Operation: 60/2=30 Current State: 76:[46, 30], Operations: ['10-8=2', '60/2=30'] Exploring Operation: 46+30=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 27, 46, 63, 81 ]
51
[ "81/27=3", "63-46=17", "3*17=51" ]
Current State: 51:[27, 46, 63, 81], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [46, 63, 3] Generated Node #2: [46, 63, 3] from Operation: 81/27=3 Current State: 51:[46, 63, 3], Operations: ['81/27=3'] Exploring Operation: 63-46=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 63-46=17 Current State: 51:[3, 17], Operations: ['81/27=3', '63-46=17'] Exploring Operation: 3*17=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 46, 73, 57, 82 ]
94
[ "46+73=119", "82-57=25", "119-25=94" ]
Current State: 94:[46, 73, 57, 82], Operations: [] Exploring Operation: 46+73=119, Resulting Numbers: [57, 82, 119] Generated Node #2: [57, 82, 119] from Operation: 46+73=119 Current State: 94:[57, 82, 119], Operations: ['46+73=119'] Exploring Operation: 82-57=25, Resulting Numbers: [119, 25] Generated Node #3: [119, 25] from Operation: 82-57=25 Current State: 94:[119, 25], Operations: ['46+73=119', '82-57=25'] Exploring Operation: 119-25=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 74, 58, 33, 45 ]
31
[ "74-45=29", "58/29=2", "33-2=31" ]
Current State: 31:[74, 58, 33, 45], Operations: [] Exploring Operation: 74-45=29, Resulting Numbers: [58, 33, 29] Generated Node #2: [58, 33, 29] from Operation: 74-45=29 Current State: 31:[58, 33, 29], Operations: ['74-45=29'] Exploring Operation: 58/29=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 58/29=2 Current State: 31:[33, 2], Operations: ['74-45=29', '58/29=2'] Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 44, 43, 84, 65 ]
42
[ "65-43=22", "44/22=2", "84/2=42" ]
Current State: 42:[44, 43, 84, 65], Operations: [] Exploring Operation: 65-43=22, Resulting Numbers: [44, 84, 22] Generated Node #2: [44, 84, 22] from Operation: 65-43=22 Current State: 42:[44, 84, 22], Operations: ['65-43=22'] Exploring Operation: 44/22=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 44/22=2 Current State: 42:[84, 2], Operations: ['65-43=22', '44/22=2'] Exploring Operation: 84/2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 96, 17, 97, 47 ]
29
[ "96-17=79", "97-47=50", "79-50=29" ]
Current State: 29:[96, 17, 97, 47], Operations: [] Exploring Operation: 96-17=79, Resulting Numbers: [97, 47, 79] Generated Node #2: [97, 47, 79] from Operation: 96-17=79 Current State: 29:[97, 47, 79], Operations: ['96-17=79'] Exploring Operation: 97-47=50, Resulting Numbers: [79, 50] Generated Node #3: [79, 50] from Operation: 97-47=50 Current State: 29:[79, 50], Operations: ['96-17=79', '97-47=50'] Exploring Operation: 79-50=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 40, 83, 10, 18 ]
71
[ "83-40=43", "10+18=28", "43+28=71" ]
Current State: 71:[40, 83, 10, 18], Operations: [] Exploring Operation: 83-40=43, Resulting Numbers: [10, 18, 43] Generated Node #2: [10, 18, 43] from Operation: 83-40=43 Current State: 71:[10, 18, 43], Operations: ['83-40=43'] Exploring Operation: 10+18=28, Resulting Numbers: [43, 28] Generated Node #3: [43, 28] from Operation: 10+18=28 Current State: 71:[43, 28], Operations: ['83-40=43', '10+18=28'] Exploring Operation: 43+28=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 75, 79, 96, 9 ]
67
[ "75+79=154", "96-9=87", "154-87=67" ]
Current State: 67:[75, 79, 96, 9], Operations: [] Exploring Operation: 75+79=154, Resulting Numbers: [96, 9, 154] Generated Node #2: [96, 9, 154] from Operation: 75+79=154 Current State: 67:[96, 9, 154], Operations: ['75+79=154'] Exploring Operation: 96-9=87, Resulting Numbers: [154, 87] Generated Node #3: [154, 87] from Operation: 96-9=87 Current State: 67:[154, 87], Operations: ['75+79=154', '96-9=87'] Exploring Operation: 154-87=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 97, 81, 76, 78 ]
95
[ "97-78=19", "81-76=5", "19*5=95" ]
Current State: 95:[97, 81, 76, 78], Operations: [] Exploring Operation: 97-78=19, Resulting Numbers: [81, 76, 19] Generated Node #2: [81, 76, 19] from Operation: 97-78=19 Current State: 95:[81, 76, 19], Operations: ['97-78=19'] Exploring Operation: 81-76=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 81-76=5 Current State: 95:[19, 5], Operations: ['97-78=19', '81-76=5'] Exploring Operation: 19*5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 66, 65, 74, 13 ]
70
[ "66+65=131", "74-13=61", "131-61=70" ]
Current State: 70:[66, 65, 74, 13], Operations: [] Exploring Operation: 66+65=131, Resulting Numbers: [74, 13, 131] Generated Node #2: [74, 13, 131] from Operation: 66+65=131 Current State: 70:[74, 13, 131], Operations: ['66+65=131'] Exploring Operation: 74-13=61, Resulting Numbers: [131, 61] Generated Node #3: [131, 61] from Operation: 74-13=61 Current State: 70:[131, 61], Operations: ['66+65=131', '74-13=61'] Exploring Operation: 131-61=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 79, 84, 35, 59 ]
89
[ "84-79=5", "35+59=94", "94-5=89" ]
Current State: 89:[79, 84, 35, 59], Operations: [] Exploring Operation: 84-79=5, Resulting Numbers: [35, 59, 5] Generated Node #2: [35, 59, 5] from Operation: 84-79=5 Current State: 89:[35, 59, 5], Operations: ['84-79=5'] Exploring Operation: 35+59=94, Resulting Numbers: [5, 94] Generated Node #3: [5, 94] from Operation: 35+59=94 Current State: 89:[5, 94], Operations: ['84-79=5', '35+59=94'] Exploring Operation: 94-5=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 80, 70, 95, 49 ]
36
[ "80-70=10", "95-49=46", "46-10=36" ]
Current State: 36:[80, 70, 95, 49], Operations: [] Exploring Operation: 80-70=10, Resulting Numbers: [95, 49, 10] Generated Node #2: [95, 49, 10] from Operation: 80-70=10 Current State: 36:[95, 49, 10], Operations: ['80-70=10'] Exploring Operation: 95-49=46, Resulting Numbers: [10, 46] Generated Node #3: [10, 46] from Operation: 95-49=46 Current State: 36:[10, 46], Operations: ['80-70=10', '95-49=46'] Exploring Operation: 46-10=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 39, 60, 30, 57 ]
100
[ "57-39=18", "60*30=1800", "1800/18=100" ]
Current State: 100:[39, 60, 30, 57], Operations: [] Exploring Operation: 57-39=18, Resulting Numbers: [60, 30, 18] Generated Node #2: [60, 30, 18] from Operation: 57-39=18 Current State: 100:[60, 30, 18], Operations: ['57-39=18'] Exploring Operation: 60*30=1800, Resulting Numbers: [18, 1800] Generated Node #3: [18, 1800] from Operation: 60*30=1800 Current State: 100:[18, 1800], Operations: ['57-39=18', '60*30=1800'] Exploring Operation: 1800/18=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 3, 71, 66, 44 ]
75
[ "71-44=27", "27/3=9", "66+9=75" ]
Current State: 75:[3, 71, 66, 44], Operations: [] Exploring Operation: 71-44=27, Resulting Numbers: [3, 66, 27] Generated Node #2: [3, 66, 27] from Operation: 71-44=27 Current State: 75:[3, 66, 27], Operations: ['71-44=27'] Exploring Operation: 27/3=9, Resulting Numbers: [66, 9] Generated Node #3: [66, 9] from Operation: 27/3=9 Current State: 75:[66, 9], Operations: ['71-44=27', '27/3=9'] Exploring Operation: 66+9=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 4, 72, 72, 97 ]
97
[ "72-72=0", "4*0=0", "97+0=97" ]
Current State: 97:[4, 72, 72, 97], Operations: [] Exploring Operation: 72-72=0, Resulting Numbers: [4, 97, 0] Generated Node #2: [4, 97, 0] from Operation: 72-72=0 Current State: 97:[4, 97, 0], Operations: ['72-72=0'] Exploring Operation: 4*0=0, Resulting Numbers: [97, 0] Generated Node #3: [97, 0] from Operation: 4*0=0 Current State: 97:[97, 0], Operations: ['72-72=0', '4*0=0'] Exploring Operation: 97+0=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 76, 96, 24, 4 ]
84
[ "76+4=80", "96/24=4", "80+4=84" ]
Current State: 84:[76, 96, 24, 4], Operations: [] Exploring Operation: 76+4=80, Resulting Numbers: [96, 24, 80] Generated Node #2: [96, 24, 80] from Operation: 76+4=80 Current State: 84:[96, 24, 80], Operations: ['76+4=80'] Exploring Operation: 96/24=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 96/24=4 Current State: 84:[80, 4], Operations: ['76+4=80', '96/24=4'] Exploring Operation: 80+4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 60, 1, 29, 6 ]
39
[ "60*1=60", "60/6=10", "29+10=39" ]
Current State: 39:[60, 1, 29, 6], Operations: [] Exploring Operation: 60*1=60, Resulting Numbers: [29, 6, 60] Generated Node #2: [29, 6, 60] from Operation: 60*1=60 Current State: 39:[29, 6, 60], Operations: ['60*1=60'] Exploring Operation: 60/6=10, Resulting Numbers: [29, 10] Generated Node #3: [29, 10] from Operation: 60/6=10 Current State: 39:[29, 10], Operations: ['60*1=60', '60/6=10'] Exploring Operation: 29+10=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 11, 65, 74, 68 ]
13
[ "74-11=63", "68-63=5", "65/5=13" ]
Current State: 13:[11, 65, 74, 68], Operations: [] Exploring Operation: 74-11=63, Resulting Numbers: [65, 68, 63] Generated Node #2: [65, 68, 63] from Operation: 74-11=63 Current State: 13:[65, 68, 63], Operations: ['74-11=63'] Exploring Operation: 68-63=5, Resulting Numbers: [65, 5] Generated Node #3: [65, 5] from Operation: 68-63=5 Current State: 13:[65, 5], Operations: ['74-11=63', '68-63=5'] Exploring Operation: 65/5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 14, 6, 60, 18 ]
86
[ "14-6=8", "60+18=78", "8+78=86" ]
Current State: 86:[14, 6, 60, 18], Operations: [] Exploring Operation: 14-6=8, Resulting Numbers: [60, 18, 8] Generated Node #2: [60, 18, 8] from Operation: 14-6=8 Current State: 86:[60, 18, 8], Operations: ['14-6=8'] Exploring Operation: 60+18=78, Resulting Numbers: [8, 78] Generated Node #3: [8, 78] from Operation: 60+18=78 Current State: 86:[8, 78], Operations: ['14-6=8', '60+18=78'] Exploring Operation: 8+78=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 93, 7, 5, 49 ]
42
[ "93-7=86", "49-5=44", "86-44=42" ]
Current State: 42:[93, 7, 5, 49], Operations: [] Exploring Operation: 93-7=86, Resulting Numbers: [5, 49, 86] Generated Node #2: [5, 49, 86] from Operation: 93-7=86 Current State: 42:[5, 49, 86], Operations: ['93-7=86'] Exploring Operation: 49-5=44, Resulting Numbers: [86, 44] Generated Node #3: [86, 44] from Operation: 49-5=44 Current State: 42:[86, 44], Operations: ['93-7=86', '49-5=44'] Exploring Operation: 86-44=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 29, 40, 24, 91 ]
46
[ "29+40=69", "24+91=115", "115-69=46" ]
Current State: 46:[29, 40, 24, 91], Operations: [] Exploring Operation: 29+40=69, Resulting Numbers: [24, 91, 69] Generated Node #2: [24, 91, 69] from Operation: 29+40=69 Current State: 46:[24, 91, 69], Operations: ['29+40=69'] Exploring Operation: 24+91=115, Resulting Numbers: [69, 115] Generated Node #3: [69, 115] from Operation: 24+91=115 Current State: 46:[69, 115], Operations: ['29+40=69', '24+91=115'] Exploring Operation: 115-69=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 2, 74, 80, 86 ]
94
[ "74-2=72", "80+86=166", "166-72=94" ]
Current State: 94:[2, 74, 80, 86], Operations: [] Exploring Operation: 74-2=72, Resulting Numbers: [80, 86, 72] Generated Node #2: [80, 86, 72] from Operation: 74-2=72 Current State: 94:[80, 86, 72], Operations: ['74-2=72'] Exploring Operation: 80+86=166, Resulting Numbers: [72, 166] Generated Node #3: [72, 166] from Operation: 80+86=166 Current State: 94:[72, 166], Operations: ['74-2=72', '80+86=166'] Exploring Operation: 166-72=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 83, 22, 49, 79 ]
67
[ "83-22=61", "49+79=128", "128-61=67" ]
Current State: 67:[83, 22, 49, 79], Operations: [] Exploring Operation: 83-22=61, Resulting Numbers: [49, 79, 61] Generated Node #2: [49, 79, 61] from Operation: 83-22=61 Current State: 67:[49, 79, 61], Operations: ['83-22=61'] Exploring Operation: 49+79=128, Resulting Numbers: [61, 128] Generated Node #3: [61, 128] from Operation: 49+79=128 Current State: 67:[61, 128], Operations: ['83-22=61', '49+79=128'] Exploring Operation: 128-61=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 51, 12, 8, 47 ]
92
[ "51-47=4", "12*8=96", "96-4=92" ]
Current State: 92:[51, 12, 8, 47], Operations: [] Exploring Operation: 51-47=4, Resulting Numbers: [12, 8, 4] Generated Node #2: [12, 8, 4] from Operation: 51-47=4 Current State: 92:[12, 8, 4], Operations: ['51-47=4'] Exploring Operation: 12*8=96, Resulting Numbers: [4, 96] Generated Node #3: [4, 96] from Operation: 12*8=96 Current State: 92:[4, 96], Operations: ['51-47=4', '12*8=96'] Exploring Operation: 96-4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 59, 59, 13, 70 ]
61
[ "59+59=118", "70-13=57", "118-57=61" ]
Current State: 61:[59, 59, 13, 70], Operations: [] Exploring Operation: 59+59=118, Resulting Numbers: [13, 70, 118] Generated Node #2: [13, 70, 118] from Operation: 59+59=118 Current State: 61:[13, 70, 118], Operations: ['59+59=118'] Exploring Operation: 70-13=57, Resulting Numbers: [118, 57] Generated Node #3: [118, 57] from Operation: 70-13=57 Current State: 61:[118, 57], Operations: ['59+59=118', '70-13=57'] Exploring Operation: 118-57=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 98, 69, 73, 95 ]
96
[ "98-95=3", "69/3=23", "73+23=96" ]
Current State: 96:[98, 69, 73, 95], Operations: [] Exploring Operation: 98-95=3, Resulting Numbers: [69, 73, 3] Generated Node #2: [69, 73, 3] from Operation: 98-95=3 Current State: 96:[69, 73, 3], Operations: ['98-95=3'] Exploring Operation: 69/3=23, Resulting Numbers: [73, 23] Generated Node #3: [73, 23] from Operation: 69/3=23 Current State: 96:[73, 23], Operations: ['98-95=3', '69/3=23'] Exploring Operation: 73+23=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 72, 94, 34, 15 ]
71
[ "94-72=22", "34+15=49", "22+49=71" ]
Current State: 71:[72, 94, 34, 15], Operations: [] Exploring Operation: 94-72=22, Resulting Numbers: [34, 15, 22] Generated Node #2: [34, 15, 22] from Operation: 94-72=22 Current State: 71:[34, 15, 22], Operations: ['94-72=22'] Exploring Operation: 34+15=49, Resulting Numbers: [22, 49] Generated Node #3: [22, 49] from Operation: 34+15=49 Current State: 71:[22, 49], Operations: ['94-72=22', '34+15=49'] Exploring Operation: 22+49=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 27, 28, 8, 61 ]
48
[ "27+28=55", "61-55=6", "8*6=48" ]
Current State: 48:[27, 28, 8, 61], Operations: [] Exploring Operation: 27+28=55, Resulting Numbers: [8, 61, 55] Generated Node #2: [8, 61, 55] from Operation: 27+28=55 Current State: 48:[8, 61, 55], Operations: ['27+28=55'] Exploring Operation: 61-55=6, Resulting Numbers: [8, 6] Generated Node #3: [8, 6] from Operation: 61-55=6 Current State: 48:[8, 6], Operations: ['27+28=55', '61-55=6'] Exploring Operation: 8*6=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 14, 14, 49, 84 ]
35
[ "14-14=0", "84-49=35", "0+35=35" ]
Current State: 35:[14, 14, 49, 84], Operations: [] Exploring Operation: 14-14=0, Resulting Numbers: [49, 84, 0] Generated Node #2: [49, 84, 0] from Operation: 14-14=0 Current State: 35:[49, 84, 0], Operations: ['14-14=0'] Exploring Operation: 84-49=35, Resulting Numbers: [0, 35] Generated Node #3: [0, 35] from Operation: 84-49=35 Current State: 35:[0, 35], Operations: ['14-14=0', '84-49=35'] Exploring Operation: 0+35=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 6, 15, 36, 88 ]
34
[ "6*15=90", "36+88=124", "124-90=34" ]
Current State: 34:[6, 15, 36, 88], Operations: [] Exploring Operation: 6*15=90, Resulting Numbers: [36, 88, 90] Generated Node #2: [36, 88, 90] from Operation: 6*15=90 Current State: 34:[36, 88, 90], Operations: ['6*15=90'] Exploring Operation: 36+88=124, Resulting Numbers: [90, 124] Generated Node #3: [90, 124] from Operation: 36+88=124 Current State: 34:[90, 124], Operations: ['6*15=90', '36+88=124'] Exploring Operation: 124-90=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 20, 19, 69, 53 ]
16
[ "20-19=1", "69-53=16", "1*16=16" ]
Current State: 16:[20, 19, 69, 53], Operations: [] Exploring Operation: 20-19=1, Resulting Numbers: [69, 53, 1] Generated Node #2: [69, 53, 1] from Operation: 20-19=1 Current State: 16:[69, 53, 1], Operations: ['20-19=1'] Exploring Operation: 69-53=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 69-53=16 Current State: 16:[1, 16], Operations: ['20-19=1', '69-53=16'] Exploring Operation: 1*16=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 50, 70, 70, 74 ]
80
[ "70-50=20", "74-70=4", "20*4=80" ]
Current State: 80:[50, 70, 70, 74], Operations: [] Exploring Operation: 70-50=20, Resulting Numbers: [74, 20] Generated Node #2: [74, 20] from Operation: 70-50=20 Current State: 80:[74, 20], Operations: ['70-50=20'] Exploring Operation: 74-70=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 74-70=4 Current State: 80:[20, 4], Operations: ['70-50=20', '74-70=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 85, 5, 7, 59 ]
13
[ "85-59=26", "7-5=2", "26/2=13" ]
Current State: 13:[85, 5, 7, 59], Operations: [] Exploring Operation: 85-59=26, Resulting Numbers: [5, 7, 26] Generated Node #2: [5, 7, 26] from Operation: 85-59=26 Current State: 13:[5, 7, 26], Operations: ['85-59=26'] Exploring Operation: 7-5=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 7-5=2 Current State: 13:[26, 2], Operations: ['85-59=26', '7-5=2'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 80, 36, 56, 11 ]
15
[ "56-36=20", "80/20=4", "11+4=15" ]
Current State: 15:[80, 36, 56, 11], Operations: [] Exploring Operation: 56-36=20, Resulting Numbers: [80, 11, 20] Generated Node #2: [80, 11, 20] from Operation: 56-36=20 Current State: 15:[80, 11, 20], Operations: ['56-36=20'] Exploring Operation: 80/20=4, Resulting Numbers: [11, 4] Generated Node #3: [11, 4] from Operation: 80/20=4 Current State: 15:[11, 4], Operations: ['56-36=20', '80/20=4'] Exploring Operation: 11+4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 45, 17, 67, 52 ]
38
[ "67+52=119", "119/17=7", "45-7=38" ]
Current State: 38:[45, 17, 67, 52], Operations: [] Exploring Operation: 67+52=119, Resulting Numbers: [45, 17, 119] Generated Node #2: [45, 17, 119] from Operation: 67+52=119 Current State: 38:[45, 17, 119], Operations: ['67+52=119'] Exploring Operation: 119/17=7, Resulting Numbers: [45, 7] Generated Node #3: [45, 7] from Operation: 119/17=7 Current State: 38:[45, 7], Operations: ['67+52=119', '119/17=7'] Exploring Operation: 45-7=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 34, 25, 37, 34 ]
25
[ "34-34=0", "37*0=0", "25+0=25" ]
Current State: 25:[34, 25, 37, 34], Operations: [] Exploring Operation: 34-34=0, Resulting Numbers: [25, 37, 0] Generated Node #2: [25, 37, 0] from Operation: 34-34=0 Current State: 25:[25, 37, 0], Operations: ['34-34=0'] Exploring Operation: 37*0=0, Resulting Numbers: [25, 0] Generated Node #3: [25, 0] from Operation: 37*0=0 Current State: 25:[25, 0], Operations: ['34-34=0', '37*0=0'] Exploring Operation: 25+0=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 7, 92, 5, 78 ]
28
[ "7-5=2", "92-78=14", "2*14=28" ]
Current State: 28:[7, 92, 5, 78], Operations: [] Exploring Operation: 7-5=2, Resulting Numbers: [92, 78, 2] Generated Node #2: [92, 78, 2] from Operation: 7-5=2 Current State: 28:[92, 78, 2], Operations: ['7-5=2'] Exploring Operation: 92-78=14, Resulting Numbers: [2, 14] Generated Node #3: [2, 14] from Operation: 92-78=14 Current State: 28:[2, 14], Operations: ['7-5=2', '92-78=14'] Exploring Operation: 2*14=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 44, 4, 19, 79 ]
58
[ "44-4=40", "19+79=98", "98-40=58" ]
Current State: 58:[44, 4, 19, 79], Operations: [] Exploring Operation: 44-4=40, Resulting Numbers: [19, 79, 40] Generated Node #2: [19, 79, 40] from Operation: 44-4=40 Current State: 58:[19, 79, 40], Operations: ['44-4=40'] Exploring Operation: 19+79=98, Resulting Numbers: [40, 98] Generated Node #3: [40, 98] from Operation: 19+79=98 Current State: 58:[40, 98], Operations: ['44-4=40', '19+79=98'] Exploring Operation: 98-40=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 1, 32, 16, 83 ]
81
[ "1*32=32", "32/16=2", "83-2=81" ]
Current State: 81:[1, 32, 16, 83], Operations: [] Exploring Operation: 1*32=32, Resulting Numbers: [16, 83, 32] Generated Node #2: [16, 83, 32] from Operation: 1*32=32 Current State: 81:[16, 83, 32], Operations: ['1*32=32'] Exploring Operation: 32/16=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 32/16=2 Current State: 81:[83, 2], Operations: ['1*32=32', '32/16=2'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 36, 46, 92, 3 ]
62
[ "46-36=10", "3*10=30", "92-30=62" ]
Current State: 62:[36, 46, 92, 3], Operations: [] Exploring Operation: 46-36=10, Resulting Numbers: [92, 3, 10] Generated Node #2: [92, 3, 10] from Operation: 46-36=10 Current State: 62:[92, 3, 10], Operations: ['46-36=10'] Exploring Operation: 3*10=30, Resulting Numbers: [92, 30] Generated Node #3: [92, 30] from Operation: 3*10=30 Current State: 62:[92, 30], Operations: ['46-36=10', '3*10=30'] Exploring Operation: 92-30=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 36, 52, 56, 14 ]
11
[ "52+56=108", "108/36=3", "14-3=11" ]
Current State: 11:[36, 52, 56, 14], Operations: [] Exploring Operation: 52+56=108, Resulting Numbers: [36, 14, 108] Generated Node #2: [36, 14, 108] from Operation: 52+56=108 Current State: 11:[36, 14, 108], Operations: ['52+56=108'] Exploring Operation: 108/36=3, Resulting Numbers: [14, 3] Generated Node #3: [14, 3] from Operation: 108/36=3 Current State: 11:[14, 3], Operations: ['52+56=108', '108/36=3'] Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 93, 2, 26, 62 ]
29
[ "93*2=186", "186/62=3", "26+3=29" ]
Current State: 29:[93, 2, 26, 62], Operations: [] Exploring Operation: 93*2=186, Resulting Numbers: [26, 62, 186] Generated Node #2: [26, 62, 186] from Operation: 93*2=186 Current State: 29:[26, 62, 186], Operations: ['93*2=186'] Exploring Operation: 186/62=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 186/62=3 Current State: 29:[26, 3], Operations: ['93*2=186', '186/62=3'] Exploring Operation: 26+3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 99, 75, 9, 65 ]
32
[ "99-75=24", "65-9=56", "56-24=32" ]
Current State: 32:[99, 75, 9, 65], Operations: [] Exploring Operation: 99-75=24, Resulting Numbers: [9, 65, 24] Generated Node #2: [9, 65, 24] from Operation: 99-75=24 Current State: 32:[9, 65, 24], Operations: ['99-75=24'] Exploring Operation: 65-9=56, Resulting Numbers: [24, 56] Generated Node #3: [24, 56] from Operation: 65-9=56 Current State: 32:[24, 56], Operations: ['99-75=24', '65-9=56'] Exploring Operation: 56-24=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 12, 85, 98, 61 ]
15
[ "85+98=183", "183/61=3", "12+3=15" ]
Current State: 15:[12, 85, 98, 61], Operations: [] Exploring Operation: 85+98=183, Resulting Numbers: [12, 61, 183] Generated Node #2: [12, 61, 183] from Operation: 85+98=183 Current State: 15:[12, 61, 183], Operations: ['85+98=183'] Exploring Operation: 183/61=3, Resulting Numbers: [12, 3] Generated Node #3: [12, 3] from Operation: 183/61=3 Current State: 15:[12, 3], Operations: ['85+98=183', '183/61=3'] Exploring Operation: 12+3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 86, 81, 80, 40 ]
88
[ "86-81=5", "40/5=8", "80+8=88" ]
Current State: 88:[86, 81, 80, 40], Operations: [] Exploring Operation: 86-81=5, Resulting Numbers: [80, 40, 5] Generated Node #2: [80, 40, 5] from Operation: 86-81=5 Current State: 88:[80, 40, 5], Operations: ['86-81=5'] Exploring Operation: 40/5=8, Resulting Numbers: [80, 8] Generated Node #3: [80, 8] from Operation: 40/5=8 Current State: 88:[80, 8], Operations: ['86-81=5', '40/5=8'] Exploring Operation: 80+8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 90, 41, 94, 62 ]
58
[ "90*41=3690", "3690-94=3596", "3596/62=58" ]
Current State: 58:[90, 41, 94, 62], Operations: [] Exploring Operation: 90*41=3690, Resulting Numbers: [94, 62, 3690] Generated Node #2: [94, 62, 3690] from Operation: 90*41=3690 Current State: 58:[94, 62, 3690], Operations: ['90*41=3690'] Exploring Operation: 3690-94=3596, Resulting Numbers: [62, 3596] Generated Node #3: [62, 3596] from Operation: 3690-94=3596 Current State: 58:[62, 3596], Operations: ['90*41=3690', '3690-94=3596'] Exploring Operation: 3596/62=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 86, 74, 8, 42 ]
54
[ "86-74=12", "8*12=96", "96-42=54" ]
Current State: 54:[86, 74, 8, 42], Operations: [] Exploring Operation: 86-74=12, Resulting Numbers: [8, 42, 12] Generated Node #2: [8, 42, 12] from Operation: 86-74=12 Current State: 54:[8, 42, 12], Operations: ['86-74=12'] Exploring Operation: 8*12=96, Resulting Numbers: [42, 96] Generated Node #3: [42, 96] from Operation: 8*12=96 Current State: 54:[42, 96], Operations: ['86-74=12', '8*12=96'] Exploring Operation: 96-42=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4