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
[ 48, 94, 10, 59 ]
73
[ "48+94=142", "10+59=69", "142-69=73" ]
Current State: 73:[48, 94, 10, 59], Operations: [] Exploring Operation: 48+94=142, Resulting Numbers: [10, 59, 142] Generated Node #2: [10, 59, 142] from Operation: 48+94=142 Current State: 73:[10, 59, 142], Operations: ['48+94=142'] Exploring Operation: 10+59=69, Resulting Numbers: [142, 69] Generated Node #3: [142, 69] from Operation: 10+59=69 Current State: 73:[142, 69], Operations: ['48+94=142', '10+59=69'] Exploring Operation: 142-69=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 97, 16, 75, 2 ]
30
[ "97-75=22", "16/2=8", "22+8=30" ]
Current State: 30:[97, 16, 75, 2], Operations: [] Exploring Operation: 97-75=22, Resulting Numbers: [16, 2, 22] Generated Node #2: [16, 2, 22] from Operation: 97-75=22 Current State: 30:[16, 2, 22], Operations: ['97-75=22'] Exploring Operation: 16/2=8, Resulting Numbers: [22, 8] Generated Node #3: [22, 8] from Operation: 16/2=8 Current State: 30:[22, 8], Operations: ['97-75=22', '16/2=8'] Exploring Operation: 22+8=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 52, 34, 10, 18 ]
94
[ "52+34=86", "10*18=180", "180-86=94" ]
Current State: 94:[52, 34, 10, 18], Operations: [] Exploring Operation: 52+34=86, Resulting Numbers: [10, 18, 86] Generated Node #2: [10, 18, 86] from Operation: 52+34=86 Current State: 94:[10, 18, 86], Operations: ['52+34=86'] Exploring Operation: 10*18=180, Resulting Numbers: [86, 180] Generated Node #3: [86, 180] from Operation: 10*18=180 Current State: 94:[86, 180], Operations: ['52+34=86', '10*18=180'] Exploring Operation: 180-86=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 29, 28, 23, 6 ]
74
[ "29+28=57", "23-6=17", "57+17=74" ]
Current State: 74:[29, 28, 23, 6], Operations: [] Exploring Operation: 29+28=57, Resulting Numbers: [23, 6, 57] Generated Node #2: [23, 6, 57] from Operation: 29+28=57 Current State: 74:[23, 6, 57], Operations: ['29+28=57'] Exploring Operation: 23-6=17, Resulting Numbers: [57, 17] Generated Node #3: [57, 17] from Operation: 23-6=17 Current State: 74:[57, 17], Operations: ['29+28=57', '23-6=17'] Exploring Operation: 57+17=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 95, 54, 1, 71 ]
29
[ "95-54=41", "71-1=70", "70-41=29" ]
Current State: 29:[95, 54, 1, 71], Operations: [] Exploring Operation: 95-54=41, Resulting Numbers: [1, 71, 41] Generated Node #2: [1, 71, 41] from Operation: 95-54=41 Current State: 29:[1, 71, 41], Operations: ['95-54=41'] Exploring Operation: 71-1=70, Resulting Numbers: [41, 70] Generated Node #3: [41, 70] from Operation: 71-1=70 Current State: 29:[41, 70], Operations: ['95-54=41', '71-1=70'] Exploring Operation: 70-41=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 87, 82, 95, 1 ]
90
[ "87-82=5", "95*1=95", "95-5=90" ]
Current State: 90:[87, 82, 95, 1], Operations: [] Exploring Operation: 87-82=5, Resulting Numbers: [95, 1, 5] Generated Node #2: [95, 1, 5] from Operation: 87-82=5 Current State: 90:[95, 1, 5], Operations: ['87-82=5'] Exploring Operation: 95*1=95, Resulting Numbers: [5, 95] Generated Node #3: [5, 95] from Operation: 95*1=95 Current State: 90:[5, 95], Operations: ['87-82=5', '95*1=95'] Exploring Operation: 95-5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 90, 92, 3, 47 ]
75
[ "90/3=30", "92-47=45", "30+45=75" ]
Current State: 75:[90, 92, 3, 47], Operations: [] Exploring Operation: 90/3=30, Resulting Numbers: [92, 47, 30] Generated Node #2: [92, 47, 30] from Operation: 90/3=30 Current State: 75:[92, 47, 30], Operations: ['90/3=30'] Exploring Operation: 92-47=45, Resulting Numbers: [30, 45] Generated Node #3: [30, 45] from Operation: 92-47=45 Current State: 75:[30, 45], Operations: ['90/3=30', '92-47=45'] Exploring Operation: 30+45=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 97, 1, 2, 9 ]
91
[ "97+1=98", "9-2=7", "98-7=91" ]
Current State: 91:[97, 1, 2, 9], Operations: [] Exploring Operation: 97+1=98, Resulting Numbers: [2, 9, 98] Generated Node #2: [2, 9, 98] from Operation: 97+1=98 Current State: 91:[2, 9, 98], Operations: ['97+1=98'] Exploring Operation: 9-2=7, Resulting Numbers: [98, 7] Generated Node #3: [98, 7] from Operation: 9-2=7 Current State: 91:[98, 7], Operations: ['97+1=98', '9-2=7'] Exploring Operation: 98-7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 88, 7, 82, 3 ]
24
[ "88-82=6", "7-3=4", "6*4=24" ]
Current State: 24:[88, 7, 82, 3], Operations: [] Exploring Operation: 88-82=6, Resulting Numbers: [7, 3, 6] Generated Node #2: [7, 3, 6] from Operation: 88-82=6 Current State: 24:[7, 3, 6], Operations: ['88-82=6'] Exploring Operation: 7-3=4, Resulting Numbers: [6, 4] Generated Node #3: [6, 4] from Operation: 7-3=4 Current State: 24:[6, 4], Operations: ['88-82=6', '7-3=4'] Exploring Operation: 6*4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 43, 24, 87, 63 ]
42
[ "87-24=63", "63/63=1", "43-1=42" ]
Current State: 42:[43, 24, 87, 63], Operations: [] Exploring Operation: 87-24=63, Resulting Numbers: [43, 63, 63] Generated Node #2: [43, 63, 63] from Operation: 87-24=63 Current State: 42:[43, 63, 63], Operations: ['87-24=63'] Exploring Operation: 63/63=1, Resulting Numbers: [43, 1] Generated Node #3: [43, 1] from Operation: 63/63=1 Current State: 42:[43, 1], Operations: ['87-24=63', '63/63=1'] Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 41, 97, 44, 46 ]
47
[ "41+97=138", "138/46=3", "44+3=47" ]
Current State: 47:[41, 97, 44, 46], Operations: [] Exploring Operation: 41+97=138, Resulting Numbers: [44, 46, 138] Generated Node #2: [44, 46, 138] from Operation: 41+97=138 Current State: 47:[44, 46, 138], Operations: ['41+97=138'] Exploring Operation: 138/46=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 138/46=3 Current State: 47:[44, 3], Operations: ['41+97=138', '138/46=3'] Exploring Operation: 44+3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 51, 53, 1, 17 ]
51
[ "53-51=2", "1+2=3", "17*3=51" ]
Current State: 51:[51, 53, 1, 17], Operations: [] Exploring Operation: 53-51=2, Resulting Numbers: [1, 17, 2] Generated Node #2: [1, 17, 2] from Operation: 53-51=2 Current State: 51:[1, 17, 2], Operations: ['53-51=2'] Exploring Operation: 1+2=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 1+2=3 Current State: 51:[17, 3], Operations: ['53-51=2', '1+2=3'] Exploring Operation: 17*3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 12, 97, 61, 93 ]
64
[ "97-93=4", "12/4=3", "61+3=64" ]
Current State: 64:[12, 97, 61, 93], Operations: [] Exploring Operation: 97-93=4, Resulting Numbers: [12, 61, 4] Generated Node #2: [12, 61, 4] from Operation: 97-93=4 Current State: 64:[12, 61, 4], Operations: ['97-93=4'] Exploring Operation: 12/4=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 12/4=3 Current State: 64:[61, 3], Operations: ['97-93=4', '12/4=3'] Exploring Operation: 61+3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 21, 78, 48, 91 ]
35
[ "48*91=4368", "4368/78=56", "56-21=35" ]
Current State: 35:[21, 78, 48, 91], Operations: [] Exploring Operation: 48*91=4368, Resulting Numbers: [21, 78, 4368] Generated Node #2: [21, 78, 4368] from Operation: 48*91=4368 Current State: 35:[21, 78, 4368], Operations: ['48*91=4368'] Exploring Operation: 4368/78=56, Resulting Numbers: [21, 56] Generated Node #3: [21, 56] from Operation: 4368/78=56 Current State: 35:[21, 56], Operations: ['48*91=4368', '4368/78=56'] Exploring Operation: 56-21=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 2, 4, 34, 37 ]
52
[ "34-4=30", "30/2=15", "37+15=52" ]
Current State: 52:[2, 4, 34, 37], Operations: [] Exploring Operation: 34-4=30, Resulting Numbers: [2, 37, 30] Generated Node #2: [2, 37, 30] from Operation: 34-4=30 Current State: 52:[2, 37, 30], Operations: ['34-4=30'] Exploring Operation: 30/2=15, Resulting Numbers: [37, 15] Generated Node #3: [37, 15] from Operation: 30/2=15 Current State: 52:[37, 15], Operations: ['34-4=30', '30/2=15'] Exploring Operation: 37+15=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 1, 39, 60, 63 ]
12
[ "63-60=3", "39/3=13", "13-1=12" ]
Current State: 12:[1, 39, 60, 63], Operations: [] Exploring Operation: 63-60=3, Resulting Numbers: [1, 39, 3] Generated Node #2: [1, 39, 3] from Operation: 63-60=3 Current State: 12:[1, 39, 3], Operations: ['63-60=3'] Exploring Operation: 39/3=13, Resulting Numbers: [1, 13] Generated Node #3: [1, 13] from Operation: 39/3=13 Current State: 12:[1, 13], Operations: ['63-60=3', '39/3=13'] Exploring Operation: 13-1=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 79, 37, 77, 21 ]
60
[ "79+37=116", "77-21=56", "116-56=60" ]
Current State: 60:[79, 37, 77, 21], Operations: [] Exploring Operation: 79+37=116, Resulting Numbers: [77, 21, 116] Generated Node #2: [77, 21, 116] from Operation: 79+37=116 Current State: 60:[77, 21, 116], Operations: ['79+37=116'] Exploring Operation: 77-21=56, Resulting Numbers: [116, 56] Generated Node #3: [116, 56] from Operation: 77-21=56 Current State: 60:[116, 56], Operations: ['79+37=116', '77-21=56'] Exploring Operation: 116-56=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 22, 51, 20, 15 ]
81
[ "22-20=2", "15*2=30", "51+30=81" ]
Current State: 81:[22, 51, 20, 15], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [51, 15, 2] Generated Node #2: [51, 15, 2] from Operation: 22-20=2 Current State: 81:[51, 15, 2], Operations: ['22-20=2'] Exploring Operation: 15*2=30, Resulting Numbers: [51, 30] Generated Node #3: [51, 30] from Operation: 15*2=30 Current State: 81:[51, 30], Operations: ['22-20=2', '15*2=30'] Exploring Operation: 51+30=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 81, 70, 37, 69 ]
95
[ "81-70=11", "37+69=106", "106-11=95" ]
Current State: 95:[81, 70, 37, 69], Operations: [] Exploring Operation: 81-70=11, Resulting Numbers: [37, 69, 11] Generated Node #2: [37, 69, 11] from Operation: 81-70=11 Current State: 95:[37, 69, 11], Operations: ['81-70=11'] Exploring Operation: 37+69=106, Resulting Numbers: [11, 106] Generated Node #3: [11, 106] from Operation: 37+69=106 Current State: 95:[11, 106], Operations: ['81-70=11', '37+69=106'] Exploring Operation: 106-11=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 3, 93, 91, 13 ]
14
[ "93-3=90", "91+13=104", "104-90=14" ]
Current State: 14:[3, 93, 91, 13], Operations: [] Exploring Operation: 93-3=90, Resulting Numbers: [91, 13, 90] Generated Node #2: [91, 13, 90] from Operation: 93-3=90 Current State: 14:[91, 13, 90], Operations: ['93-3=90'] Exploring Operation: 91+13=104, Resulting Numbers: [90, 104] Generated Node #3: [90, 104] from Operation: 91+13=104 Current State: 14:[90, 104], Operations: ['93-3=90', '91+13=104'] Exploring Operation: 104-90=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 43, 42, 40, 61 ]
47
[ "43-40=3", "42/3=14", "61-14=47" ]
Current State: 47:[43, 42, 40, 61], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [42, 61, 3] Generated Node #2: [42, 61, 3] from Operation: 43-40=3 Current State: 47:[42, 61, 3], Operations: ['43-40=3'] Exploring Operation: 42/3=14, Resulting Numbers: [61, 14] Generated Node #3: [61, 14] from Operation: 42/3=14 Current State: 47:[61, 14], Operations: ['43-40=3', '42/3=14'] Exploring Operation: 61-14=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 1, 95, 30, 77 ]
12
[ "1*95=95", "30+77=107", "107-95=12" ]
Current State: 12:[1, 95, 30, 77], Operations: [] Exploring Operation: 1*95=95, Resulting Numbers: [30, 77, 95] Generated Node #2: [30, 77, 95] from Operation: 1*95=95 Current State: 12:[30, 77, 95], Operations: ['1*95=95'] Exploring Operation: 30+77=107, Resulting Numbers: [95, 107] Generated Node #3: [95, 107] from Operation: 30+77=107 Current State: 12:[95, 107], Operations: ['1*95=95', '30+77=107'] Exploring Operation: 107-95=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 61, 90, 75, 41 ]
85
[ "61+41=102", "75*102=7650", "7650/90=85" ]
Current State: 85:[61, 90, 75, 41], Operations: [] Exploring Operation: 61+41=102, Resulting Numbers: [90, 75, 102] Generated Node #2: [90, 75, 102] from Operation: 61+41=102 Current State: 85:[90, 75, 102], Operations: ['61+41=102'] Exploring Operation: 75*102=7650, Resulting Numbers: [90, 7650] Generated Node #3: [90, 7650] from Operation: 75*102=7650 Current State: 85:[90, 7650], Operations: ['61+41=102', '75*102=7650'] Exploring Operation: 7650/90=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 2, 28, 13, 15 ]
45
[ "2*15=30", "28-13=15", "30+15=45" ]
Current State: 45:[2, 28, 13, 15], Operations: [] Exploring Operation: 2*15=30, Resulting Numbers: [28, 13, 30] Generated Node #2: [28, 13, 30] from Operation: 2*15=30 Current State: 45:[28, 13, 30], Operations: ['2*15=30'] Exploring Operation: 28-13=15, Resulting Numbers: [30, 15] Generated Node #3: [30, 15] from Operation: 28-13=15 Current State: 45:[30, 15], Operations: ['2*15=30', '28-13=15'] Exploring Operation: 30+15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 95, 5, 33, 97 ]
71
[ "97-95=2", "33*2=66", "5+66=71" ]
Current State: 71:[95, 5, 33, 97], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [5, 33, 2] Generated Node #2: [5, 33, 2] from Operation: 97-95=2 Current State: 71:[5, 33, 2], Operations: ['97-95=2'] Exploring Operation: 33*2=66, Resulting Numbers: [5, 66] Generated Node #3: [5, 66] from Operation: 33*2=66 Current State: 71:[5, 66], Operations: ['97-95=2', '33*2=66'] Exploring Operation: 5+66=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 48, 90, 44, 96 ]
94
[ "90-48=42", "96-44=52", "42+52=94" ]
Current State: 94:[48, 90, 44, 96], Operations: [] Exploring Operation: 90-48=42, Resulting Numbers: [44, 96, 42] Generated Node #2: [44, 96, 42] from Operation: 90-48=42 Current State: 94:[44, 96, 42], Operations: ['90-48=42'] Exploring Operation: 96-44=52, Resulting Numbers: [42, 52] Generated Node #3: [42, 52] from Operation: 96-44=52 Current State: 94:[42, 52], Operations: ['90-48=42', '96-44=52'] Exploring Operation: 42+52=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 32, 62, 44, 61 ]
11
[ "32+62=94", "44+61=105", "105-94=11" ]
Current State: 11:[32, 62, 44, 61], Operations: [] Exploring Operation: 32+62=94, Resulting Numbers: [44, 61, 94] Generated Node #2: [44, 61, 94] from Operation: 32+62=94 Current State: 11:[44, 61, 94], Operations: ['32+62=94'] Exploring Operation: 44+61=105, Resulting Numbers: [94, 105] Generated Node #3: [94, 105] from Operation: 44+61=105 Current State: 11:[94, 105], Operations: ['32+62=94', '44+61=105'] Exploring Operation: 105-94=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 25, 80, 46, 45 ]
42
[ "45-25=20", "80/20=4", "46-4=42" ]
Current State: 42:[25, 80, 46, 45], Operations: [] Exploring Operation: 45-25=20, Resulting Numbers: [80, 46, 20] Generated Node #2: [80, 46, 20] from Operation: 45-25=20 Current State: 42:[80, 46, 20], Operations: ['45-25=20'] Exploring Operation: 80/20=4, Resulting Numbers: [46, 4] Generated Node #3: [46, 4] from Operation: 80/20=4 Current State: 42:[46, 4], Operations: ['45-25=20', '80/20=4'] Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 3, 44, 12, 8 ]
14
[ "12-8=4", "44/4=11", "3+11=14" ]
Current State: 14:[3, 44, 12, 8], Operations: [] Exploring Operation: 12-8=4, Resulting Numbers: [3, 44, 4] Generated Node #2: [3, 44, 4] from Operation: 12-8=4 Current State: 14:[3, 44, 4], Operations: ['12-8=4'] Exploring Operation: 44/4=11, Resulting Numbers: [3, 11] Generated Node #3: [3, 11] from Operation: 44/4=11 Current State: 14:[3, 11], Operations: ['12-8=4', '44/4=11'] Exploring Operation: 3+11=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 33, 17, 12, 55 ]
51
[ "33-17=16", "12+55=67", "67-16=51" ]
Current State: 51:[33, 17, 12, 55], Operations: [] Exploring Operation: 33-17=16, Resulting Numbers: [12, 55, 16] Generated Node #2: [12, 55, 16] from Operation: 33-17=16 Current State: 51:[12, 55, 16], Operations: ['33-17=16'] Exploring Operation: 12+55=67, Resulting Numbers: [16, 67] Generated Node #3: [16, 67] from Operation: 12+55=67 Current State: 51:[16, 67], Operations: ['33-17=16', '12+55=67'] Exploring Operation: 67-16=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 39, 88, 28, 98 ]
77
[ "88-39=49", "28+98=126", "126-49=77" ]
Current State: 77:[39, 88, 28, 98], Operations: [] Exploring Operation: 88-39=49, Resulting Numbers: [28, 98, 49] Generated Node #2: [28, 98, 49] from Operation: 88-39=49 Current State: 77:[28, 98, 49], Operations: ['88-39=49'] Exploring Operation: 28+98=126, Resulting Numbers: [49, 126] Generated Node #3: [49, 126] from Operation: 28+98=126 Current State: 77:[49, 126], Operations: ['88-39=49', '28+98=126'] Exploring Operation: 126-49=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 97, 69, 5, 34 ]
66
[ "97+5=102", "102/34=3", "69-3=66" ]
Current State: 66:[97, 69, 5, 34], Operations: [] Exploring Operation: 97+5=102, Resulting Numbers: [69, 34, 102] Generated Node #2: [69, 34, 102] from Operation: 97+5=102 Current State: 66:[69, 34, 102], Operations: ['97+5=102'] Exploring Operation: 102/34=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 102/34=3 Current State: 66:[69, 3], Operations: ['97+5=102', '102/34=3'] Exploring Operation: 69-3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 76, 64, 70, 16 ]
10
[ "76-70=6", "64/16=4", "6+4=10" ]
Current State: 10:[76, 64, 70, 16], Operations: [] Exploring Operation: 76-70=6, Resulting Numbers: [64, 16, 6] Generated Node #2: [64, 16, 6] from Operation: 76-70=6 Current State: 10:[64, 16, 6], Operations: ['76-70=6'] Exploring Operation: 64/16=4, Resulting Numbers: [6, 4] Generated Node #3: [6, 4] from Operation: 64/16=4 Current State: 10:[6, 4], Operations: ['76-70=6', '64/16=4'] Exploring Operation: 6+4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 23, 83, 25, 25 ]
29
[ "25-23=2", "83-25=58", "58/2=29" ]
Current State: 29:[23, 83, 25, 25], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [83, 2] Generated Node #2: [83, 2] from Operation: 25-23=2 Current State: 29:[83, 2], Operations: ['25-23=2'] Exploring Operation: 83-25=58, Resulting Numbers: [2, 58] Generated Node #3: [2, 58] from Operation: 83-25=58 Current State: 29:[2, 58], Operations: ['25-23=2', '83-25=58'] Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 32, 15, 4, 28 ]
35
[ "32/4=8", "15+28=43", "43-8=35" ]
Current State: 35:[32, 15, 4, 28], Operations: [] Exploring Operation: 32/4=8, Resulting Numbers: [15, 28, 8] Generated Node #2: [15, 28, 8] from Operation: 32/4=8 Current State: 35:[15, 28, 8], Operations: ['32/4=8'] Exploring Operation: 15+28=43, Resulting Numbers: [8, 43] Generated Node #3: [8, 43] from Operation: 15+28=43 Current State: 35:[8, 43], Operations: ['32/4=8', '15+28=43'] Exploring Operation: 43-8=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 7, 66, 57, 99 ]
96
[ "7+57=64", "99*64=6336", "6336/66=96" ]
Current State: 96:[7, 66, 57, 99], Operations: [] Exploring Operation: 7+57=64, Resulting Numbers: [66, 99, 64] Generated Node #2: [66, 99, 64] from Operation: 7+57=64 Current State: 96:[66, 99, 64], Operations: ['7+57=64'] Exploring Operation: 99*64=6336, Resulting Numbers: [66, 6336] Generated Node #3: [66, 6336] from Operation: 99*64=6336 Current State: 96:[66, 6336], Operations: ['7+57=64', '99*64=6336'] Exploring Operation: 6336/66=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 46, 3, 30, 36 ]
23
[ "46*3=138", "36-30=6", "138/6=23" ]
Current State: 23:[46, 3, 30, 36], Operations: [] Exploring Operation: 46*3=138, Resulting Numbers: [30, 36, 138] Generated Node #2: [30, 36, 138] from Operation: 46*3=138 Current State: 23:[30, 36, 138], Operations: ['46*3=138'] Exploring Operation: 36-30=6, Resulting Numbers: [138, 6] Generated Node #3: [138, 6] from Operation: 36-30=6 Current State: 23:[138, 6], Operations: ['46*3=138', '36-30=6'] Exploring Operation: 138/6=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 38, 35, 7, 63 ]
64
[ "38+35=73", "63/7=9", "73-9=64" ]
Current State: 64:[38, 35, 7, 63], Operations: [] Exploring Operation: 38+35=73, Resulting Numbers: [7, 63, 73] Generated Node #2: [7, 63, 73] from Operation: 38+35=73 Current State: 64:[7, 63, 73], Operations: ['38+35=73'] Exploring Operation: 63/7=9, Resulting Numbers: [73, 9] Generated Node #3: [73, 9] from Operation: 63/7=9 Current State: 64:[73, 9], Operations: ['38+35=73', '63/7=9'] Exploring Operation: 73-9=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 47, 40, 43, 1 ]
45
[ "47+40=87", "43-1=42", "87-42=45" ]
Current State: 45:[47, 40, 43, 1], Operations: [] Exploring Operation: 47+40=87, Resulting Numbers: [43, 1, 87] Generated Node #2: [43, 1, 87] from Operation: 47+40=87 Current State: 45:[43, 1, 87], Operations: ['47+40=87'] Exploring Operation: 43-1=42, Resulting Numbers: [87, 42] Generated Node #3: [87, 42] from Operation: 43-1=42 Current State: 45:[87, 42], Operations: ['47+40=87', '43-1=42'] Exploring Operation: 87-42=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 82, 73, 77, 44 ]
71
[ "77-73=4", "44/4=11", "82-11=71" ]
Current State: 71:[82, 73, 77, 44], Operations: [] Exploring Operation: 77-73=4, Resulting Numbers: [82, 44, 4] Generated Node #2: [82, 44, 4] from Operation: 77-73=4 Current State: 71:[82, 44, 4], Operations: ['77-73=4'] Exploring Operation: 44/4=11, Resulting Numbers: [82, 11] Generated Node #3: [82, 11] from Operation: 44/4=11 Current State: 71:[82, 11], Operations: ['77-73=4', '44/4=11'] Exploring Operation: 82-11=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 76, 52, 28, 95 ]
91
[ "76-52=24", "95-28=67", "24+67=91" ]
Current State: 91:[76, 52, 28, 95], Operations: [] Exploring Operation: 76-52=24, Resulting Numbers: [28, 95, 24] Generated Node #2: [28, 95, 24] from Operation: 76-52=24 Current State: 91:[28, 95, 24], Operations: ['76-52=24'] Exploring Operation: 95-28=67, Resulting Numbers: [24, 67] Generated Node #3: [24, 67] from Operation: 95-28=67 Current State: 91:[24, 67], Operations: ['76-52=24', '95-28=67'] Exploring Operation: 24+67=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 41, 9, 45, 26 ]
21
[ "41+9=50", "45+26=71", "71-50=21" ]
Current State: 21:[41, 9, 45, 26], Operations: [] Exploring Operation: 41+9=50, Resulting Numbers: [45, 26, 50] Generated Node #2: [45, 26, 50] from Operation: 41+9=50 Current State: 21:[45, 26, 50], Operations: ['41+9=50'] Exploring Operation: 45+26=71, Resulting Numbers: [50, 71] Generated Node #3: [50, 71] from Operation: 45+26=71 Current State: 21:[50, 71], Operations: ['41+9=50', '45+26=71'] Exploring Operation: 71-50=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 5, 48, 13, 26 ]
58
[ "5*26=130", "130/13=10", "48+10=58" ]
Current State: 58:[5, 48, 13, 26], Operations: [] Exploring Operation: 5*26=130, Resulting Numbers: [48, 13, 130] Generated Node #2: [48, 13, 130] from Operation: 5*26=130 Current State: 58:[48, 13, 130], Operations: ['5*26=130'] Exploring Operation: 130/13=10, Resulting Numbers: [48, 10] Generated Node #3: [48, 10] from Operation: 130/13=10 Current State: 58:[48, 10], Operations: ['5*26=130', '130/13=10'] Exploring Operation: 48+10=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 5, 58, 55, 55 ]
80
[ "55+55=110", "110/5=22", "58+22=80" ]
Current State: 80:[5, 58, 55, 55], Operations: [] Exploring Operation: 55+55=110, Resulting Numbers: [5, 58, 110] Generated Node #2: [5, 58, 110] from Operation: 55+55=110 Current State: 80:[5, 58, 110], Operations: ['55+55=110'] Exploring Operation: 110/5=22, Resulting Numbers: [58, 22] Generated Node #3: [58, 22] from Operation: 110/5=22 Current State: 80:[58, 22], Operations: ['55+55=110', '110/5=22'] Exploring Operation: 58+22=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 82, 3, 68, 1 ]
48
[ "3-1=2", "68/2=34", "82-34=48" ]
Current State: 48:[82, 3, 68, 1], Operations: [] Exploring Operation: 3-1=2, Resulting Numbers: [82, 68, 2] Generated Node #2: [82, 68, 2] from Operation: 3-1=2 Current State: 48:[82, 68, 2], Operations: ['3-1=2'] Exploring Operation: 68/2=34, Resulting Numbers: [82, 34] Generated Node #3: [82, 34] from Operation: 68/2=34 Current State: 48:[82, 34], Operations: ['3-1=2', '68/2=34'] Exploring Operation: 82-34=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 6, 29, 76, 30 ]
75
[ "6*30=180", "29+76=105", "180-105=75" ]
Current State: 75:[6, 29, 76, 30], Operations: [] Exploring Operation: 6*30=180, Resulting Numbers: [29, 76, 180] Generated Node #2: [29, 76, 180] from Operation: 6*30=180 Current State: 75:[29, 76, 180], Operations: ['6*30=180'] Exploring Operation: 29+76=105, Resulting Numbers: [180, 105] Generated Node #3: [180, 105] from Operation: 29+76=105 Current State: 75:[180, 105], Operations: ['6*30=180', '29+76=105'] Exploring Operation: 180-105=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 50, 68, 10, 7 ]
33
[ "50/10=5", "7*5=35", "68-35=33" ]
Current State: 33:[50, 68, 10, 7], Operations: [] Exploring Operation: 50/10=5, Resulting Numbers: [68, 7, 5] Generated Node #2: [68, 7, 5] from Operation: 50/10=5 Current State: 33:[68, 7, 5], Operations: ['50/10=5'] Exploring Operation: 7*5=35, Resulting Numbers: [68, 35] Generated Node #3: [68, 35] from Operation: 7*5=35 Current State: 33:[68, 35], Operations: ['50/10=5', '7*5=35'] Exploring Operation: 68-35=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 5, 30, 77, 33 ]
40
[ "5*30=150", "77+33=110", "150-110=40" ]
Current State: 40:[5, 30, 77, 33], Operations: [] Exploring Operation: 5*30=150, Resulting Numbers: [77, 33, 150] Generated Node #2: [77, 33, 150] from Operation: 5*30=150 Current State: 40:[77, 33, 150], Operations: ['5*30=150'] Exploring Operation: 77+33=110, Resulting Numbers: [150, 110] Generated Node #3: [150, 110] from Operation: 77+33=110 Current State: 40:[150, 110], Operations: ['5*30=150', '77+33=110'] Exploring Operation: 150-110=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 96, 88, 10, 28 ]
46
[ "96-88=8", "10+28=38", "8+38=46" ]
Current State: 46:[96, 88, 10, 28], Operations: [] Exploring Operation: 96-88=8, Resulting Numbers: [10, 28, 8] Generated Node #2: [10, 28, 8] from Operation: 96-88=8 Current State: 46:[10, 28, 8], Operations: ['96-88=8'] Exploring Operation: 10+28=38, Resulting Numbers: [8, 38] Generated Node #3: [8, 38] from Operation: 10+28=38 Current State: 46:[8, 38], Operations: ['96-88=8', '10+28=38'] Exploring Operation: 8+38=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 95, 5, 18, 95 ]
23
[ "95+5=100", "95-18=77", "100-77=23" ]
Current State: 23:[95, 5, 18, 95], Operations: [] Exploring Operation: 95+5=100, Resulting Numbers: [18, 100] Generated Node #2: [18, 100] from Operation: 95+5=100 Current State: 23:[18, 100], Operations: ['95+5=100'] Exploring Operation: 95-18=77, Resulting Numbers: [100, 77] Generated Node #3: [100, 77] from Operation: 95-18=77 Current State: 23:[100, 77], Operations: ['95+5=100', '95-18=77'] Exploring Operation: 100-77=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 67, 50, 1, 5 ]
11
[ "67-50=17", "1+5=6", "17-6=11" ]
Current State: 11:[67, 50, 1, 5], Operations: [] Exploring Operation: 67-50=17, Resulting Numbers: [1, 5, 17] Generated Node #2: [1, 5, 17] from Operation: 67-50=17 Current State: 11:[1, 5, 17], Operations: ['67-50=17'] Exploring Operation: 1+5=6, Resulting Numbers: [17, 6] Generated Node #3: [17, 6] from Operation: 1+5=6 Current State: 11:[17, 6], Operations: ['67-50=17', '1+5=6'] Exploring Operation: 17-6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 3, 25, 4, 64 ]
39
[ "4-3=1", "64-25=39", "1*39=39" ]
Current State: 39:[3, 25, 4, 64], Operations: [] Exploring Operation: 4-3=1, Resulting Numbers: [25, 64, 1] Generated Node #2: [25, 64, 1] from Operation: 4-3=1 Current State: 39:[25, 64, 1], Operations: ['4-3=1'] Exploring Operation: 64-25=39, Resulting Numbers: [1, 39] Generated Node #3: [1, 39] from Operation: 64-25=39 Current State: 39:[1, 39], Operations: ['4-3=1', '64-25=39'] Exploring Operation: 1*39=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 16, 7, 12, 21 ]
60
[ "16*21=336", "336/7=48", "12+48=60" ]
Current State: 60:[16, 7, 12, 21], Operations: [] Exploring Operation: 16*21=336, Resulting Numbers: [7, 12, 336] Generated Node #2: [7, 12, 336] from Operation: 16*21=336 Current State: 60:[7, 12, 336], Operations: ['16*21=336'] Exploring Operation: 336/7=48, Resulting Numbers: [12, 48] Generated Node #3: [12, 48] from Operation: 336/7=48 Current State: 60:[12, 48], Operations: ['16*21=336', '336/7=48'] Exploring Operation: 12+48=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 28, 92, 56, 9 ]
73
[ "28+92=120", "56-9=47", "120-47=73" ]
Current State: 73:[28, 92, 56, 9], Operations: [] Exploring Operation: 28+92=120, Resulting Numbers: [56, 9, 120] Generated Node #2: [56, 9, 120] from Operation: 28+92=120 Current State: 73:[56, 9, 120], Operations: ['28+92=120'] Exploring Operation: 56-9=47, Resulting Numbers: [120, 47] Generated Node #3: [120, 47] from Operation: 56-9=47 Current State: 73:[120, 47], Operations: ['28+92=120', '56-9=47'] Exploring Operation: 120-47=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 83, 96, 1, 45 ]
57
[ "96-83=13", "45-1=44", "13+44=57" ]
Current State: 57:[83, 96, 1, 45], Operations: [] Exploring Operation: 96-83=13, Resulting Numbers: [1, 45, 13] Generated Node #2: [1, 45, 13] from Operation: 96-83=13 Current State: 57:[1, 45, 13], Operations: ['96-83=13'] Exploring Operation: 45-1=44, Resulting Numbers: [13, 44] Generated Node #3: [13, 44] from Operation: 45-1=44 Current State: 57:[13, 44], Operations: ['96-83=13', '45-1=44'] Exploring Operation: 13+44=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 28, 37, 33, 16 ]
24
[ "37-33=4", "16/4=4", "28-4=24" ]
Current State: 24:[28, 37, 33, 16], Operations: [] Exploring Operation: 37-33=4, Resulting Numbers: [28, 16, 4] Generated Node #2: [28, 16, 4] from Operation: 37-33=4 Current State: 24:[28, 16, 4], Operations: ['37-33=4'] Exploring Operation: 16/4=4, Resulting Numbers: [28, 4] Generated Node #3: [28, 4] from Operation: 16/4=4 Current State: 24:[28, 4], Operations: ['37-33=4', '16/4=4'] Exploring Operation: 28-4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 40, 68, 32, 82 ]
86
[ "68-40=28", "32+82=114", "114-28=86" ]
Current State: 86:[40, 68, 32, 82], Operations: [] Exploring Operation: 68-40=28, Resulting Numbers: [32, 82, 28] Generated Node #2: [32, 82, 28] from Operation: 68-40=28 Current State: 86:[32, 82, 28], Operations: ['68-40=28'] Exploring Operation: 32+82=114, Resulting Numbers: [28, 114] Generated Node #3: [28, 114] from Operation: 32+82=114 Current State: 86:[28, 114], Operations: ['68-40=28', '32+82=114'] Exploring Operation: 114-28=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 91, 27, 43, 61 ]
40
[ "91-27=64", "43+61=104", "104-64=40" ]
Current State: 40:[91, 27, 43, 61], Operations: [] Exploring Operation: 91-27=64, Resulting Numbers: [43, 61, 64] Generated Node #2: [43, 61, 64] from Operation: 91-27=64 Current State: 40:[43, 61, 64], Operations: ['91-27=64'] Exploring Operation: 43+61=104, Resulting Numbers: [64, 104] Generated Node #3: [64, 104] from Operation: 43+61=104 Current State: 40:[64, 104], Operations: ['91-27=64', '43+61=104'] Exploring Operation: 104-64=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 38, 71, 33, 19 ]
52
[ "38/19=2", "71+33=104", "104/2=52" ]
Current State: 52:[38, 71, 33, 19], Operations: [] Exploring Operation: 38/19=2, Resulting Numbers: [71, 33, 2] Generated Node #2: [71, 33, 2] from Operation: 38/19=2 Current State: 52:[71, 33, 2], Operations: ['38/19=2'] Exploring Operation: 71+33=104, Resulting Numbers: [2, 104] Generated Node #3: [2, 104] from Operation: 71+33=104 Current State: 52:[2, 104], Operations: ['38/19=2', '71+33=104'] Exploring Operation: 104/2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 53, 25, 72, 94 ]
55
[ "72-25=47", "94/47=2", "53+2=55" ]
Current State: 55:[53, 25, 72, 94], Operations: [] Exploring Operation: 72-25=47, Resulting Numbers: [53, 94, 47] Generated Node #2: [53, 94, 47] from Operation: 72-25=47 Current State: 55:[53, 94, 47], Operations: ['72-25=47'] Exploring Operation: 94/47=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operation: 94/47=2 Current State: 55:[53, 2], Operations: ['72-25=47', '94/47=2'] Exploring Operation: 53+2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 35, 43, 5, 69 ]
82
[ "43-35=8", "5+69=74", "8+74=82" ]
Current State: 82:[35, 43, 5, 69], Operations: [] Exploring Operation: 43-35=8, Resulting Numbers: [5, 69, 8] Generated Node #2: [5, 69, 8] from Operation: 43-35=8 Current State: 82:[5, 69, 8], Operations: ['43-35=8'] Exploring Operation: 5+69=74, Resulting Numbers: [8, 74] Generated Node #3: [8, 74] from Operation: 5+69=74 Current State: 82:[8, 74], Operations: ['43-35=8', '5+69=74'] Exploring Operation: 8+74=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 53, 98, 21, 85 ]
87
[ "53+98=151", "85-21=64", "151-64=87" ]
Current State: 87:[53, 98, 21, 85], Operations: [] Exploring Operation: 53+98=151, Resulting Numbers: [21, 85, 151] Generated Node #2: [21, 85, 151] from Operation: 53+98=151 Current State: 87:[21, 85, 151], Operations: ['53+98=151'] Exploring Operation: 85-21=64, Resulting Numbers: [151, 64] Generated Node #3: [151, 64] from Operation: 85-21=64 Current State: 87:[151, 64], Operations: ['53+98=151', '85-21=64'] Exploring Operation: 151-64=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 48, 30, 76, 20 ]
28
[ "76+20=96", "96/48=2", "30-2=28" ]
Current State: 28:[48, 30, 76, 20], Operations: [] Exploring Operation: 76+20=96, Resulting Numbers: [48, 30, 96] Generated Node #2: [48, 30, 96] from Operation: 76+20=96 Current State: 28:[48, 30, 96], Operations: ['76+20=96'] Exploring Operation: 96/48=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 96/48=2 Current State: 28:[30, 2], Operations: ['76+20=96', '96/48=2'] Exploring Operation: 30-2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 23, 84, 27, 59 ]
93
[ "84-23=61", "59-27=32", "61+32=93" ]
Current State: 93:[23, 84, 27, 59], Operations: [] Exploring Operation: 84-23=61, Resulting Numbers: [27, 59, 61] Generated Node #2: [27, 59, 61] from Operation: 84-23=61 Current State: 93:[27, 59, 61], Operations: ['84-23=61'] Exploring Operation: 59-27=32, Resulting Numbers: [61, 32] Generated Node #3: [61, 32] from Operation: 59-27=32 Current State: 93:[61, 32], Operations: ['84-23=61', '59-27=32'] Exploring Operation: 61+32=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 85, 52, 22, 6 ]
17
[ "85-52=33", "22-6=16", "33-16=17" ]
Current State: 17:[85, 52, 22, 6], Operations: [] Exploring Operation: 85-52=33, Resulting Numbers: [22, 6, 33] Generated Node #2: [22, 6, 33] from Operation: 85-52=33 Current State: 17:[22, 6, 33], Operations: ['85-52=33'] Exploring Operation: 22-6=16, Resulting Numbers: [33, 16] Generated Node #3: [33, 16] from Operation: 22-6=16 Current State: 17:[33, 16], Operations: ['85-52=33', '22-6=16'] Exploring Operation: 33-16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 26, 5, 37, 44 ]
99
[ "37-26=11", "5*11=55", "44+55=99" ]
Current State: 99:[26, 5, 37, 44], Operations: [] Exploring Operation: 37-26=11, Resulting Numbers: [5, 44, 11] Generated Node #2: [5, 44, 11] from Operation: 37-26=11 Current State: 99:[5, 44, 11], Operations: ['37-26=11'] Exploring Operation: 5*11=55, Resulting Numbers: [44, 55] Generated Node #3: [44, 55] from Operation: 5*11=55 Current State: 99:[44, 55], Operations: ['37-26=11', '5*11=55'] Exploring Operation: 44+55=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 27, 97, 11, 35 ]
46
[ "97-27=70", "35-11=24", "70-24=46" ]
Current State: 46:[27, 97, 11, 35], Operations: [] Exploring Operation: 97-27=70, Resulting Numbers: [11, 35, 70] Generated Node #2: [11, 35, 70] from Operation: 97-27=70 Current State: 46:[11, 35, 70], Operations: ['97-27=70'] Exploring Operation: 35-11=24, Resulting Numbers: [70, 24] Generated Node #3: [70, 24] from Operation: 35-11=24 Current State: 46:[70, 24], Operations: ['97-27=70', '35-11=24'] Exploring Operation: 70-24=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 27, 58, 10, 63 ]
77
[ "63-58=5", "10*5=50", "27+50=77" ]
Current State: 77:[27, 58, 10, 63], Operations: [] Exploring Operation: 63-58=5, Resulting Numbers: [27, 10, 5] Generated Node #2: [27, 10, 5] from Operation: 63-58=5 Current State: 77:[27, 10, 5], Operations: ['63-58=5'] Exploring Operation: 10*5=50, Resulting Numbers: [27, 50] Generated Node #3: [27, 50] from Operation: 10*5=50 Current State: 77:[27, 50], Operations: ['63-58=5', '10*5=50'] Exploring Operation: 27+50=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 7, 17, 82, 64 ]
30
[ "7*82=574", "574-64=510", "510/17=30" ]
Current State: 30:[7, 17, 82, 64], Operations: [] Exploring Operation: 7*82=574, Resulting Numbers: [17, 64, 574] Generated Node #2: [17, 64, 574] from Operation: 7*82=574 Current State: 30:[17, 64, 574], Operations: ['7*82=574'] Exploring Operation: 574-64=510, Resulting Numbers: [17, 510] Generated Node #3: [17, 510] from Operation: 574-64=510 Current State: 30:[17, 510], Operations: ['7*82=574', '574-64=510'] Exploring Operation: 510/17=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 85, 30, 75, 83 ]
60
[ "85-83=2", "30/2=15", "75-15=60" ]
Current State: 60:[85, 30, 75, 83], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [30, 75, 2] Generated Node #2: [30, 75, 2] from Operation: 85-83=2 Current State: 60:[30, 75, 2], Operations: ['85-83=2'] Exploring Operation: 30/2=15, Resulting Numbers: [75, 15] Generated Node #3: [75, 15] from Operation: 30/2=15 Current State: 60:[75, 15], Operations: ['85-83=2', '30/2=15'] Exploring Operation: 75-15=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 61, 69, 51, 60 ]
72
[ "69-61=8", "60-51=9", "8*9=72" ]
Current State: 72:[61, 69, 51, 60], Operations: [] Exploring Operation: 69-61=8, Resulting Numbers: [51, 60, 8] Generated Node #2: [51, 60, 8] from Operation: 69-61=8 Current State: 72:[51, 60, 8], Operations: ['69-61=8'] Exploring Operation: 60-51=9, Resulting Numbers: [8, 9] Generated Node #3: [8, 9] from Operation: 60-51=9 Current State: 72:[8, 9], Operations: ['69-61=8', '60-51=9'] Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 98, 14, 89, 71 ]
76
[ "98-14=84", "89+71=160", "160-84=76" ]
Current State: 76:[98, 14, 89, 71], Operations: [] Exploring Operation: 98-14=84, Resulting Numbers: [89, 71, 84] Generated Node #2: [89, 71, 84] from Operation: 98-14=84 Current State: 76:[89, 71, 84], Operations: ['98-14=84'] Exploring Operation: 89+71=160, Resulting Numbers: [84, 160] Generated Node #3: [84, 160] from Operation: 89+71=160 Current State: 76:[84, 160], Operations: ['98-14=84', '89+71=160'] Exploring Operation: 160-84=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 89, 6, 98, 34 ]
20
[ "98-89=9", "6*9=54", "54-34=20" ]
Current State: 20:[89, 6, 98, 34], Operations: [] Exploring Operation: 98-89=9, Resulting Numbers: [6, 34, 9] Generated Node #2: [6, 34, 9] from Operation: 98-89=9 Current State: 20:[6, 34, 9], Operations: ['98-89=9'] Exploring Operation: 6*9=54, Resulting Numbers: [34, 54] Generated Node #3: [34, 54] from Operation: 6*9=54 Current State: 20:[34, 54], Operations: ['98-89=9', '6*9=54'] Exploring Operation: 54-34=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 8, 26, 9, 71 ]
26
[ "8*9=72", "72-71=1", "26*1=26" ]
Current State: 26:[8, 26, 9, 71], Operations: [] Exploring Operation: 8*9=72, Resulting Numbers: [26, 71, 72] Generated Node #2: [26, 71, 72] from Operation: 8*9=72 Current State: 26:[26, 71, 72], Operations: ['8*9=72'] Exploring Operation: 72-71=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 72-71=1 Current State: 26:[26, 1], Operations: ['8*9=72', '72-71=1'] Exploring Operation: 26*1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 96, 8, 9, 75 ]
51
[ "96-75=21", "8*9=72", "72-21=51" ]
Current State: 51:[96, 8, 9, 75], Operations: [] Exploring Operation: 96-75=21, Resulting Numbers: [8, 9, 21] Generated Node #2: [8, 9, 21] from Operation: 96-75=21 Current State: 51:[8, 9, 21], Operations: ['96-75=21'] Exploring Operation: 8*9=72, Resulting Numbers: [21, 72] Generated Node #3: [21, 72] from Operation: 8*9=72 Current State: 51:[21, 72], Operations: ['96-75=21', '8*9=72'] Exploring Operation: 72-21=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 8, 96, 5, 88 ]
17
[ "88/8=11", "96-11=85", "85/5=17" ]
Current State: 17:[8, 96, 5, 88], Operations: [] Exploring Operation: 88/8=11, Resulting Numbers: [96, 5, 11] Generated Node #2: [96, 5, 11] from Operation: 88/8=11 Current State: 17:[96, 5, 11], Operations: ['88/8=11'] Exploring Operation: 96-11=85, Resulting Numbers: [5, 85] Generated Node #3: [5, 85] from Operation: 96-11=85 Current State: 17:[5, 85], Operations: ['88/8=11', '96-11=85'] Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 15, 4, 29, 33 ]
89
[ "29-15=14", "4*14=56", "33+56=89" ]
Current State: 89:[15, 4, 29, 33], Operations: [] Exploring Operation: 29-15=14, Resulting Numbers: [4, 33, 14] Generated Node #2: [4, 33, 14] from Operation: 29-15=14 Current State: 89:[4, 33, 14], Operations: ['29-15=14'] Exploring Operation: 4*14=56, Resulting Numbers: [33, 56] Generated Node #3: [33, 56] from Operation: 4*14=56 Current State: 89:[33, 56], Operations: ['29-15=14', '4*14=56'] Exploring Operation: 33+56=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 70, 94, 35, 20 ]
57
[ "70/35=2", "94+20=114", "114/2=57" ]
Current State: 57:[70, 94, 35, 20], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [94, 20, 2] Generated Node #2: [94, 20, 2] from Operation: 70/35=2 Current State: 57:[94, 20, 2], Operations: ['70/35=2'] Exploring Operation: 94+20=114, Resulting Numbers: [2, 114] Generated Node #3: [2, 114] from Operation: 94+20=114 Current State: 57:[2, 114], Operations: ['70/35=2', '94+20=114'] Exploring Operation: 114/2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 75, 1, 66, 5 ]
28
[ "75-1=74", "66+74=140", "140/5=28" ]
Current State: 28:[75, 1, 66, 5], Operations: [] Exploring Operation: 75-1=74, Resulting Numbers: [66, 5, 74] Generated Node #2: [66, 5, 74] from Operation: 75-1=74 Current State: 28:[66, 5, 74], Operations: ['75-1=74'] Exploring Operation: 66+74=140, Resulting Numbers: [5, 140] Generated Node #3: [5, 140] from Operation: 66+74=140 Current State: 28:[5, 140], Operations: ['75-1=74', '66+74=140'] Exploring Operation: 140/5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 69, 29, 10, 71 ]
21
[ "69-29=40", "71-10=61", "61-40=21" ]
Current State: 21:[69, 29, 10, 71], Operations: [] Exploring Operation: 69-29=40, Resulting Numbers: [10, 71, 40] Generated Node #2: [10, 71, 40] from Operation: 69-29=40 Current State: 21:[10, 71, 40], Operations: ['69-29=40'] Exploring Operation: 71-10=61, Resulting Numbers: [40, 61] Generated Node #3: [40, 61] from Operation: 71-10=61 Current State: 21:[40, 61], Operations: ['69-29=40', '71-10=61'] Exploring Operation: 61-40=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 66, 11, 5, 86 ]
86
[ "66/11=6", "6-5=1", "86*1=86" ]
Current State: 86:[66, 11, 5, 86], Operations: [] Exploring Operation: 66/11=6, Resulting Numbers: [5, 86, 6] Generated Node #2: [5, 86, 6] from Operation: 66/11=6 Current State: 86:[5, 86, 6], Operations: ['66/11=6'] Exploring Operation: 6-5=1, Resulting Numbers: [86, 1] Generated Node #3: [86, 1] from Operation: 6-5=1 Current State: 86:[86, 1], Operations: ['66/11=6', '6-5=1'] Exploring Operation: 86*1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 14, 16, 68, 44 ]
46
[ "16-14=2", "44/2=22", "68-22=46" ]
Current State: 46:[14, 16, 68, 44], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [68, 44, 2] Generated Node #2: [68, 44, 2] from Operation: 16-14=2 Current State: 46:[68, 44, 2], Operations: ['16-14=2'] Exploring Operation: 44/2=22, Resulting Numbers: [68, 22] Generated Node #3: [68, 22] from Operation: 44/2=22 Current State: 46:[68, 22], Operations: ['16-14=2', '44/2=22'] Exploring Operation: 68-22=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 41, 38, 79, 97 ]
15
[ "41-38=3", "97-79=18", "18-3=15" ]
Current State: 15:[41, 38, 79, 97], Operations: [] Exploring Operation: 41-38=3, Resulting Numbers: [79, 97, 3] Generated Node #2: [79, 97, 3] from Operation: 41-38=3 Current State: 15:[79, 97, 3], Operations: ['41-38=3'] Exploring Operation: 97-79=18, Resulting Numbers: [3, 18] Generated Node #3: [3, 18] from Operation: 97-79=18 Current State: 15:[3, 18], Operations: ['41-38=3', '97-79=18'] Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 4, 38, 3, 55 ]
16
[ "4+38=42", "3+55=58", "58-42=16" ]
Current State: 16:[4, 38, 3, 55], Operations: [] Exploring Operation: 4+38=42, Resulting Numbers: [3, 55, 42] Generated Node #2: [3, 55, 42] from Operation: 4+38=42 Current State: 16:[3, 55, 42], Operations: ['4+38=42'] Exploring Operation: 3+55=58, Resulting Numbers: [42, 58] Generated Node #3: [42, 58] from Operation: 3+55=58 Current State: 16:[42, 58], Operations: ['4+38=42', '3+55=58'] Exploring Operation: 58-42=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 73, 63, 4, 74 ]
67
[ "74-73=1", "63+4=67", "1*67=67" ]
Current State: 67:[73, 63, 4, 74], Operations: [] Exploring Operation: 74-73=1, Resulting Numbers: [63, 4, 1] Generated Node #2: [63, 4, 1] from Operation: 74-73=1 Current State: 67:[63, 4, 1], Operations: ['74-73=1'] Exploring Operation: 63+4=67, Resulting Numbers: [1, 67] Generated Node #3: [1, 67] from Operation: 63+4=67 Current State: 67:[1, 67], Operations: ['74-73=1', '63+4=67'] Exploring Operation: 1*67=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 8, 9, 43, 40 ]
15
[ "43-40=3", "8*3=24", "24-9=15" ]
Current State: 15:[8, 9, 43, 40], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [8, 9, 3] Generated Node #2: [8, 9, 3] from Operation: 43-40=3 Current State: 15:[8, 9, 3], Operations: ['43-40=3'] Exploring Operation: 8*3=24, Resulting Numbers: [9, 24] Generated Node #3: [9, 24] from Operation: 8*3=24 Current State: 15:[9, 24], Operations: ['43-40=3', '8*3=24'] Exploring Operation: 24-9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 24, 4, 3, 29 ]
65
[ "24+29=53", "4*3=12", "53+12=65" ]
Current State: 65:[24, 4, 3, 29], Operations: [] Exploring Operation: 24+29=53, Resulting Numbers: [4, 3, 53] Generated Node #2: [4, 3, 53] from Operation: 24+29=53 Current State: 65:[4, 3, 53], Operations: ['24+29=53'] Exploring Operation: 4*3=12, Resulting Numbers: [53, 12] Generated Node #3: [53, 12] from Operation: 4*3=12 Current State: 65:[53, 12], Operations: ['24+29=53', '4*3=12'] Exploring Operation: 53+12=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 98, 53, 12, 37 ]
96
[ "98-53=45", "45-37=8", "12*8=96" ]
Current State: 96:[98, 53, 12, 37], Operations: [] Exploring Operation: 98-53=45, Resulting Numbers: [12, 37, 45] Generated Node #2: [12, 37, 45] from Operation: 98-53=45 Current State: 96:[12, 37, 45], Operations: ['98-53=45'] Exploring Operation: 45-37=8, Resulting Numbers: [12, 8] Generated Node #3: [12, 8] from Operation: 45-37=8 Current State: 96:[12, 8], Operations: ['98-53=45', '45-37=8'] Exploring Operation: 12*8=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 97, 54, 2, 9 ]
85
[ "54*2=108", "108/9=12", "97-12=85" ]
Current State: 85:[97, 54, 2, 9], Operations: [] Exploring Operation: 54*2=108, Resulting Numbers: [97, 9, 108] Generated Node #2: [97, 9, 108] from Operation: 54*2=108 Current State: 85:[97, 9, 108], Operations: ['54*2=108'] Exploring Operation: 108/9=12, Resulting Numbers: [97, 12] Generated Node #3: [97, 12] from Operation: 108/9=12 Current State: 85:[97, 12], Operations: ['54*2=108', '108/9=12'] Exploring Operation: 97-12=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 32, 10, 56, 50 ]
64
[ "32+10=42", "56+50=106", "106-42=64" ]
Current State: 64:[32, 10, 56, 50], Operations: [] Exploring Operation: 32+10=42, Resulting Numbers: [56, 50, 42] Generated Node #2: [56, 50, 42] from Operation: 32+10=42 Current State: 64:[56, 50, 42], Operations: ['32+10=42'] Exploring Operation: 56+50=106, Resulting Numbers: [42, 106] Generated Node #3: [42, 106] from Operation: 56+50=106 Current State: 64:[42, 106], Operations: ['32+10=42', '56+50=106'] Exploring Operation: 106-42=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 40, 27, 25, 88 ]
28
[ "25*88=2200", "2200/40=55", "55-27=28" ]
Current State: 28:[40, 27, 25, 88], Operations: [] Exploring Operation: 25*88=2200, Resulting Numbers: [40, 27, 2200] Generated Node #2: [40, 27, 2200] from Operation: 25*88=2200 Current State: 28:[40, 27, 2200], Operations: ['25*88=2200'] Exploring Operation: 2200/40=55, Resulting Numbers: [27, 55] Generated Node #3: [27, 55] from Operation: 2200/40=55 Current State: 28:[27, 55], Operations: ['25*88=2200', '2200/40=55'] Exploring Operation: 55-27=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 10, 9, 5, 12 ]
95
[ "9+12=21", "5*21=105", "105-10=95" ]
Current State: 95:[10, 9, 5, 12], Operations: [] Exploring Operation: 9+12=21, Resulting Numbers: [10, 5, 21] Generated Node #2: [10, 5, 21] from Operation: 9+12=21 Current State: 95:[10, 5, 21], Operations: ['9+12=21'] Exploring Operation: 5*21=105, Resulting Numbers: [10, 105] Generated Node #3: [10, 105] from Operation: 5*21=105 Current State: 95:[10, 105], Operations: ['9+12=21', '5*21=105'] Exploring Operation: 105-10=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 88, 3, 90, 39 ]
15
[ "90-88=2", "39/3=13", "2+13=15" ]
Current State: 15:[88, 3, 90, 39], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [3, 39, 2] Generated Node #2: [3, 39, 2] from Operation: 90-88=2 Current State: 15:[3, 39, 2], Operations: ['90-88=2'] Exploring Operation: 39/3=13, Resulting Numbers: [2, 13] Generated Node #3: [2, 13] from Operation: 39/3=13 Current State: 15:[2, 13], Operations: ['90-88=2', '39/3=13'] Exploring Operation: 2+13=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 48, 8, 74, 44 ]
36
[ "48/8=6", "74-44=30", "6+30=36" ]
Current State: 36:[48, 8, 74, 44], Operations: [] Exploring Operation: 48/8=6, Resulting Numbers: [74, 44, 6] Generated Node #2: [74, 44, 6] from Operation: 48/8=6 Current State: 36:[74, 44, 6], Operations: ['48/8=6'] Exploring Operation: 74-44=30, Resulting Numbers: [6, 30] Generated Node #3: [6, 30] from Operation: 74-44=30 Current State: 36:[6, 30], Operations: ['48/8=6', '74-44=30'] Exploring Operation: 6+30=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 48, 43, 51, 5 ]
11
[ "51-43=8", "48/8=6", "5+6=11" ]
Current State: 11:[48, 43, 51, 5], Operations: [] Exploring Operation: 51-43=8, Resulting Numbers: [48, 5, 8] Generated Node #2: [48, 5, 8] from Operation: 51-43=8 Current State: 11:[48, 5, 8], Operations: ['51-43=8'] Exploring Operation: 48/8=6, Resulting Numbers: [5, 6] Generated Node #3: [5, 6] from Operation: 48/8=6 Current State: 11:[5, 6], Operations: ['51-43=8', '48/8=6'] Exploring Operation: 5+6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 2, 10, 20, 28 ]
56
[ "10-2=8", "20+28=48", "8+48=56" ]
Current State: 56:[2, 10, 20, 28], Operations: [] Exploring Operation: 10-2=8, Resulting Numbers: [20, 28, 8] Generated Node #2: [20, 28, 8] from Operation: 10-2=8 Current State: 56:[20, 28, 8], Operations: ['10-2=8'] Exploring Operation: 20+28=48, Resulting Numbers: [8, 48] Generated Node #3: [8, 48] from Operation: 20+28=48 Current State: 56:[8, 48], Operations: ['10-2=8', '20+28=48'] Exploring Operation: 8+48=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 53, 65, 2, 74 ]
84
[ "65-53=12", "74-2=72", "12+72=84" ]
Current State: 84:[53, 65, 2, 74], Operations: [] Exploring Operation: 65-53=12, Resulting Numbers: [2, 74, 12] Generated Node #2: [2, 74, 12] from Operation: 65-53=12 Current State: 84:[2, 74, 12], Operations: ['65-53=12'] Exploring Operation: 74-2=72, Resulting Numbers: [12, 72] Generated Node #3: [12, 72] from Operation: 74-2=72 Current State: 84:[12, 72], Operations: ['65-53=12', '74-2=72'] Exploring Operation: 12+72=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 21, 49, 71, 35 ]
100
[ "49*71=3479", "21+3479=3500", "3500/35=100" ]
Current State: 100:[21, 49, 71, 35], Operations: [] Exploring Operation: 49*71=3479, Resulting Numbers: [21, 35, 3479] Generated Node #2: [21, 35, 3479] from Operation: 49*71=3479 Current State: 100:[21, 35, 3479], Operations: ['49*71=3479'] Exploring Operation: 21+3479=3500, Resulting Numbers: [35, 3500] Generated Node #3: [35, 3500] from Operation: 21+3479=3500 Current State: 100:[35, 3500], Operations: ['49*71=3479', '21+3479=3500'] Exploring Operation: 3500/35=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 92, 52, 46, 92 ]
72
[ "92+52=144", "92/46=2", "144/2=72" ]
Current State: 72:[92, 52, 46, 92], Operations: [] Exploring Operation: 92+52=144, Resulting Numbers: [46, 144] Generated Node #2: [46, 144] from Operation: 92+52=144 Current State: 72:[46, 144], Operations: ['92+52=144'] Exploring Operation: 92/46=2, Resulting Numbers: [144, 2] Generated Node #3: [144, 2] from Operation: 92/46=2 Current State: 72:[144, 2], Operations: ['92+52=144', '92/46=2'] Exploring Operation: 144/2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 19, 43, 20, 72 ]
30
[ "19+43=62", "20+72=92", "92-62=30" ]
Current State: 30:[19, 43, 20, 72], Operations: [] Exploring Operation: 19+43=62, Resulting Numbers: [20, 72, 62] Generated Node #2: [20, 72, 62] from Operation: 19+43=62 Current State: 30:[20, 72, 62], Operations: ['19+43=62'] Exploring Operation: 20+72=92, Resulting Numbers: [62, 92] Generated Node #3: [62, 92] from Operation: 20+72=92 Current State: 30:[62, 92], Operations: ['19+43=62', '20+72=92'] Exploring Operation: 92-62=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4