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
[ 57, 10, 83, 46 ]
27
[ "57-46=11", "10*11=110", "110-83=27" ]
Current State: 27:[57, 10, 83, 46], Operations: [] Exploring Operation: 57-46=11, Resulting Numbers: [10, 83, 11] Generated Node #2: [10, 83, 11] from Operation: 57-46=11 Current State: 27:[10, 83, 11], Operations: ['57-46=11'] Exploring Operation: 10*11=110, Resulting Numbers: [83, 110] Generated Node #3: [83, 110] from Operation: 10*11=110 Current State: 27:[83, 110], Operations: ['57-46=11', '10*11=110'] Exploring Operation: 110-83=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 80, 11, 9, 83 ]
24
[ "83-80=3", "11*3=33", "33-9=24" ]
Current State: 24:[80, 11, 9, 83], Operations: [] Exploring Operation: 83-80=3, Resulting Numbers: [11, 9, 3] Generated Node #2: [11, 9, 3] from Operation: 83-80=3 Current State: 24:[11, 9, 3], Operations: ['83-80=3'] Exploring Operation: 11*3=33, Resulting Numbers: [9, 33] Generated Node #3: [9, 33] from Operation: 11*3=33 Current State: 24:[9, 33], Operations: ['83-80=3', '11*3=33'] Exploring Operation: 33-9=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 24, 16, 27, 93 ]
58
[ "24-16=8", "93-27=66", "66-8=58" ]
Current State: 58:[24, 16, 27, 93], Operations: [] Exploring Operation: 24-16=8, Resulting Numbers: [27, 93, 8] Generated Node #2: [27, 93, 8] from Operation: 24-16=8 Current State: 58:[27, 93, 8], Operations: ['24-16=8'] Exploring Operation: 93-27=66, Resulting Numbers: [8, 66] Generated Node #3: [8, 66] from Operation: 93-27=66 Current State: 58:[8, 66], Operations: ['24-16=8', '93-27=66'] Exploring Operation: 66-8=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 66, 3, 61, 6 ]
23
[ "66-61=5", "3*6=18", "5+18=23" ]
Current State: 23:[66, 3, 61, 6], Operations: [] Exploring Operation: 66-61=5, Resulting Numbers: [3, 6, 5] Generated Node #2: [3, 6, 5] from Operation: 66-61=5 Current State: 23:[3, 6, 5], Operations: ['66-61=5'] Exploring Operation: 3*6=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 3*6=18 Current State: 23:[5, 18], Operations: ['66-61=5', '3*6=18'] Exploring Operation: 5+18=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 84, 36, 8, 12 ]
17
[ "36*8=288", "288-84=204", "204/12=17" ]
Current State: 17:[84, 36, 8, 12], Operations: [] Exploring Operation: 36*8=288, Resulting Numbers: [84, 12, 288] Generated Node #2: [84, 12, 288] from Operation: 36*8=288 Current State: 17:[84, 12, 288], Operations: ['36*8=288'] Exploring Operation: 288-84=204, Resulting Numbers: [12, 204] Generated Node #3: [12, 204] from Operation: 288-84=204 Current State: 17:[12, 204], Operations: ['36*8=288', '288-84=204'] Exploring Operation: 204/12=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 97, 21, 17, 24 ]
69
[ "97-21=76", "24-17=7", "76-7=69" ]
Current State: 69:[97, 21, 17, 24], Operations: [] Exploring Operation: 97-21=76, Resulting Numbers: [17, 24, 76] Generated Node #2: [17, 24, 76] from Operation: 97-21=76 Current State: 69:[17, 24, 76], Operations: ['97-21=76'] Exploring Operation: 24-17=7, Resulting Numbers: [76, 7] Generated Node #3: [76, 7] from Operation: 24-17=7 Current State: 69:[76, 7], Operations: ['97-21=76', '24-17=7'] Exploring Operation: 76-7=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 18, 29, 56, 22 ]
58
[ "29-18=11", "22/11=2", "56+2=58" ]
Current State: 58:[18, 29, 56, 22], Operations: [] Exploring Operation: 29-18=11, Resulting Numbers: [56, 22, 11] Generated Node #2: [56, 22, 11] from Operation: 29-18=11 Current State: 58:[56, 22, 11], Operations: ['29-18=11'] Exploring Operation: 22/11=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 22/11=2 Current State: 58:[56, 2], Operations: ['29-18=11', '22/11=2'] Exploring Operation: 56+2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 7, 49, 9, 3 ]
92
[ "9-7=2", "49-3=46", "2*46=92" ]
Current State: 92:[7, 49, 9, 3], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [49, 3, 2] Generated Node #2: [49, 3, 2] from Operation: 9-7=2 Current State: 92:[49, 3, 2], Operations: ['9-7=2'] Exploring Operation: 49-3=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 49-3=46 Current State: 92:[2, 46], Operations: ['9-7=2', '49-3=46'] Exploring Operation: 2*46=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 46, 31, 62, 46 ]
31
[ "46+31=77", "62+46=108", "108-77=31" ]
Current State: 31:[46, 31, 62, 46], Operations: [] Exploring Operation: 46+31=77, Resulting Numbers: [62, 77] Generated Node #2: [62, 77] from Operation: 46+31=77 Current State: 31:[62, 77], Operations: ['46+31=77'] Exploring Operation: 62+46=108, Resulting Numbers: [77, 108] Generated Node #3: [77, 108] from Operation: 62+46=108 Current State: 31:[77, 108], Operations: ['46+31=77', '62+46=108'] Exploring Operation: 108-77=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 93, 3, 26, 95 ]
25
[ "93+3=96", "26+95=121", "121-96=25" ]
Current State: 25:[93, 3, 26, 95], Operations: [] Exploring Operation: 93+3=96, Resulting Numbers: [26, 95, 96] Generated Node #2: [26, 95, 96] from Operation: 93+3=96 Current State: 25:[26, 95, 96], Operations: ['93+3=96'] Exploring Operation: 26+95=121, Resulting Numbers: [96, 121] Generated Node #3: [96, 121] from Operation: 26+95=121 Current State: 25:[96, 121], Operations: ['93+3=96', '26+95=121'] Exploring Operation: 121-96=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 86, 25, 12, 97 ]
80
[ "97-25=72", "72/12=6", "86-6=80" ]
Current State: 80:[86, 25, 12, 97], Operations: [] Exploring Operation: 97-25=72, Resulting Numbers: [86, 12, 72] Generated Node #2: [86, 12, 72] from Operation: 97-25=72 Current State: 80:[86, 12, 72], Operations: ['97-25=72'] Exploring Operation: 72/12=6, Resulting Numbers: [86, 6] Generated Node #3: [86, 6] from Operation: 72/12=6 Current State: 80:[86, 6], Operations: ['97-25=72', '72/12=6'] Exploring Operation: 86-6=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 87, 4, 64, 41 ]
96
[ "87+41=128", "128/4=32", "64+32=96" ]
Current State: 96:[87, 4, 64, 41], Operations: [] Exploring Operation: 87+41=128, Resulting Numbers: [4, 64, 128] Generated Node #2: [4, 64, 128] from Operation: 87+41=128 Current State: 96:[4, 64, 128], Operations: ['87+41=128'] Exploring Operation: 128/4=32, Resulting Numbers: [64, 32] Generated Node #3: [64, 32] from Operation: 128/4=32 Current State: 96:[64, 32], Operations: ['87+41=128', '128/4=32'] Exploring Operation: 64+32=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 13, 46, 24, 98 ]
96
[ "98-46=52", "52/13=4", "24*4=96" ]
Current State: 96:[13, 46, 24, 98], Operations: [] Exploring Operation: 98-46=52, Resulting Numbers: [13, 24, 52] Generated Node #2: [13, 24, 52] from Operation: 98-46=52 Current State: 96:[13, 24, 52], Operations: ['98-46=52'] Exploring Operation: 52/13=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 52/13=4 Current State: 96:[24, 4], Operations: ['98-46=52', '52/13=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 53, 29, 51, 47 ]
65
[ "53-51=2", "47*2=94", "94-29=65" ]
Current State: 65:[53, 29, 51, 47], Operations: [] Exploring Operation: 53-51=2, Resulting Numbers: [29, 47, 2] Generated Node #2: [29, 47, 2] from Operation: 53-51=2 Current State: 65:[29, 47, 2], Operations: ['53-51=2'] Exploring Operation: 47*2=94, Resulting Numbers: [29, 94] Generated Node #3: [29, 94] from Operation: 47*2=94 Current State: 65:[29, 94], Operations: ['53-51=2', '47*2=94'] Exploring Operation: 94-29=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 23, 48, 56, 76 ]
16
[ "23+56=79", "79-76=3", "48/3=16" ]
Current State: 16:[23, 48, 56, 76], Operations: [] Exploring Operation: 23+56=79, Resulting Numbers: [48, 76, 79] Generated Node #2: [48, 76, 79] from Operation: 23+56=79 Current State: 16:[48, 76, 79], Operations: ['23+56=79'] Exploring Operation: 79-76=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 79-76=3 Current State: 16:[48, 3], Operations: ['23+56=79', '79-76=3'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 4, 25, 73, 35 ]
62
[ "4*25=100", "73-35=38", "100-38=62" ]
Current State: 62:[4, 25, 73, 35], Operations: [] Exploring Operation: 4*25=100, Resulting Numbers: [73, 35, 100] Generated Node #2: [73, 35, 100] from Operation: 4*25=100 Current State: 62:[73, 35, 100], Operations: ['4*25=100'] Exploring Operation: 73-35=38, Resulting Numbers: [100, 38] Generated Node #3: [100, 38] from Operation: 73-35=38 Current State: 62:[100, 38], Operations: ['4*25=100', '73-35=38'] Exploring Operation: 100-38=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 50, 55, 1, 56 ]
60
[ "55-50=5", "56-1=55", "5+55=60" ]
Current State: 60:[50, 55, 1, 56], Operations: [] Exploring Operation: 55-50=5, Resulting Numbers: [1, 56, 5] Generated Node #2: [1, 56, 5] from Operation: 55-50=5 Current State: 60:[1, 56, 5], Operations: ['55-50=5'] Exploring Operation: 56-1=55, Resulting Numbers: [5, 55] Generated Node #3: [5, 55] from Operation: 56-1=55 Current State: 60:[5, 55], Operations: ['55-50=5', '56-1=55'] Exploring Operation: 5+55=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 18, 10, 45, 46 ]
43
[ "46-10=36", "36/18=2", "45-2=43" ]
Current State: 43:[18, 10, 45, 46], Operations: [] Exploring Operation: 46-10=36, Resulting Numbers: [18, 45, 36] Generated Node #2: [18, 45, 36] from Operation: 46-10=36 Current State: 43:[18, 45, 36], Operations: ['46-10=36'] Exploring Operation: 36/18=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 36/18=2 Current State: 43:[45, 2], Operations: ['46-10=36', '36/18=2'] Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 60, 50, 1, 51 ]
42
[ "60-50=10", "1+51=52", "52-10=42" ]
Current State: 42:[60, 50, 1, 51], Operations: [] Exploring Operation: 60-50=10, Resulting Numbers: [1, 51, 10] Generated Node #2: [1, 51, 10] from Operation: 60-50=10 Current State: 42:[1, 51, 10], Operations: ['60-50=10'] Exploring Operation: 1+51=52, Resulting Numbers: [10, 52] Generated Node #3: [10, 52] from Operation: 1+51=52 Current State: 42:[10, 52], Operations: ['60-50=10', '1+51=52'] Exploring Operation: 52-10=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 28, 28, 48, 51 ]
98
[ "28/28=1", "48+51=99", "99-1=98" ]
Current State: 98:[28, 28, 48, 51], Operations: [] Exploring Operation: 28/28=1, Resulting Numbers: [48, 51, 1] Generated Node #2: [48, 51, 1] from Operation: 28/28=1 Current State: 98:[48, 51, 1], Operations: ['28/28=1'] Exploring Operation: 48+51=99, Resulting Numbers: [1, 99] Generated Node #3: [1, 99] from Operation: 48+51=99 Current State: 98:[1, 99], Operations: ['28/28=1', '48+51=99'] Exploring Operation: 99-1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 21, 16, 44, 89 ]
50
[ "21-16=5", "89-44=45", "5+45=50" ]
Current State: 50:[21, 16, 44, 89], Operations: [] Exploring Operation: 21-16=5, Resulting Numbers: [44, 89, 5] Generated Node #2: [44, 89, 5] from Operation: 21-16=5 Current State: 50:[44, 89, 5], Operations: ['21-16=5'] Exploring Operation: 89-44=45, Resulting Numbers: [5, 45] Generated Node #3: [5, 45] from Operation: 89-44=45 Current State: 50:[5, 45], Operations: ['21-16=5', '89-44=45'] Exploring Operation: 5+45=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 18, 81, 6, 65 ]
40
[ "18+81=99", "65-6=59", "99-59=40" ]
Current State: 40:[18, 81, 6, 65], Operations: [] Exploring Operation: 18+81=99, Resulting Numbers: [6, 65, 99] Generated Node #2: [6, 65, 99] from Operation: 18+81=99 Current State: 40:[6, 65, 99], Operations: ['18+81=99'] Exploring Operation: 65-6=59, Resulting Numbers: [99, 59] Generated Node #3: [99, 59] from Operation: 65-6=59 Current State: 40:[99, 59], Operations: ['18+81=99', '65-6=59'] Exploring Operation: 99-59=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 58, 24, 13, 12 ]
81
[ "58+24=82", "13-12=1", "82-1=81" ]
Current State: 81:[58, 24, 13, 12], Operations: [] Exploring Operation: 58+24=82, Resulting Numbers: [13, 12, 82] Generated Node #2: [13, 12, 82] from Operation: 58+24=82 Current State: 81:[13, 12, 82], Operations: ['58+24=82'] Exploring Operation: 13-12=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 13-12=1 Current State: 81:[82, 1], Operations: ['58+24=82', '13-12=1'] Exploring Operation: 82-1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 5, 25, 63, 55 ]
13
[ "25/5=5", "63-55=8", "5+8=13" ]
Current State: 13:[5, 25, 63, 55], Operations: [] Exploring Operation: 25/5=5, Resulting Numbers: [63, 55, 5] Generated Node #2: [63, 55, 5] from Operation: 25/5=5 Current State: 13:[63, 55, 5], Operations: ['25/5=5'] Exploring Operation: 63-55=8, Resulting Numbers: [5, 8] Generated Node #3: [5, 8] from Operation: 63-55=8 Current State: 13:[5, 8], Operations: ['25/5=5', '63-55=8'] Exploring Operation: 5+8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 93, 29, 19, 86 ]
96
[ "86-29=57", "57/19=3", "93+3=96" ]
Current State: 96:[93, 29, 19, 86], Operations: [] Exploring Operation: 86-29=57, Resulting Numbers: [93, 19, 57] Generated Node #2: [93, 19, 57] from Operation: 86-29=57 Current State: 96:[93, 19, 57], Operations: ['86-29=57'] Exploring Operation: 57/19=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 57/19=3 Current State: 96:[93, 3], Operations: ['86-29=57', '57/19=3'] Exploring Operation: 93+3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 52, 72, 78, 95 ]
47
[ "52*72=3744", "3744/78=48", "95-48=47" ]
Current State: 47:[52, 72, 78, 95], Operations: [] Exploring Operation: 52*72=3744, Resulting Numbers: [78, 95, 3744] Generated Node #2: [78, 95, 3744] from Operation: 52*72=3744 Current State: 47:[78, 95, 3744], Operations: ['52*72=3744'] Exploring Operation: 3744/78=48, Resulting Numbers: [95, 48] Generated Node #3: [95, 48] from Operation: 3744/78=48 Current State: 47:[95, 48], Operations: ['52*72=3744', '3744/78=48'] Exploring Operation: 95-48=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 31, 2, 46, 54 ]
24
[ "46-31=15", "2*15=30", "54-30=24" ]
Current State: 24:[31, 2, 46, 54], Operations: [] Exploring Operation: 46-31=15, Resulting Numbers: [2, 54, 15] Generated Node #2: [2, 54, 15] from Operation: 46-31=15 Current State: 24:[2, 54, 15], Operations: ['46-31=15'] Exploring Operation: 2*15=30, Resulting Numbers: [54, 30] Generated Node #3: [54, 30] from Operation: 2*15=30 Current State: 24:[54, 30], Operations: ['46-31=15', '2*15=30'] Exploring Operation: 54-30=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 26, 87, 20, 4 ]
85
[ "87-26=61", "20+4=24", "61+24=85" ]
Current State: 85:[26, 87, 20, 4], Operations: [] Exploring Operation: 87-26=61, Resulting Numbers: [20, 4, 61] Generated Node #2: [20, 4, 61] from Operation: 87-26=61 Current State: 85:[20, 4, 61], Operations: ['87-26=61'] Exploring Operation: 20+4=24, Resulting Numbers: [61, 24] Generated Node #3: [61, 24] from Operation: 20+4=24 Current State: 85:[61, 24], Operations: ['87-26=61', '20+4=24'] Exploring Operation: 61+24=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 89, 44, 71, 90 ]
49
[ "89-71=18", "90/18=5", "44+5=49" ]
Current State: 49:[89, 44, 71, 90], Operations: [] Exploring Operation: 89-71=18, Resulting Numbers: [44, 90, 18] Generated Node #2: [44, 90, 18] from Operation: 89-71=18 Current State: 49:[44, 90, 18], Operations: ['89-71=18'] Exploring Operation: 90/18=5, Resulting Numbers: [44, 5] Generated Node #3: [44, 5] from Operation: 90/18=5 Current State: 49:[44, 5], Operations: ['89-71=18', '90/18=5'] Exploring Operation: 44+5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 56, 31, 99, 20 ]
54
[ "56-31=25", "99-20=79", "79-25=54" ]
Current State: 54:[56, 31, 99, 20], Operations: [] Exploring Operation: 56-31=25, Resulting Numbers: [99, 20, 25] Generated Node #2: [99, 20, 25] from Operation: 56-31=25 Current State: 54:[99, 20, 25], Operations: ['56-31=25'] Exploring Operation: 99-20=79, Resulting Numbers: [25, 79] Generated Node #3: [25, 79] from Operation: 99-20=79 Current State: 54:[25, 79], Operations: ['56-31=25', '99-20=79'] Exploring Operation: 79-25=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 74, 67, 23, 67 ]
74
[ "67-67=0", "23*0=0", "74+0=74" ]
Current State: 74:[74, 67, 23, 67], Operations: [] Exploring Operation: 67-67=0, Resulting Numbers: [74, 23, 0] Generated Node #2: [74, 23, 0] from Operation: 67-67=0 Current State: 74:[74, 23, 0], Operations: ['67-67=0'] Exploring Operation: 23*0=0, Resulting Numbers: [74, 0] Generated Node #3: [74, 0] from Operation: 23*0=0 Current State: 74:[74, 0], Operations: ['67-67=0', '23*0=0'] Exploring Operation: 74+0=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 74, 4, 37, 37 ]
37
[ "74+37=111", "4*37=148", "148-111=37" ]
Current State: 37:[74, 4, 37, 37], Operations: [] Exploring Operation: 74+37=111, Resulting Numbers: [4, 111] Generated Node #2: [4, 111] from Operation: 74+37=111 Current State: 37:[4, 111], Operations: ['74+37=111'] Exploring Operation: 4*37=148, Resulting Numbers: [111, 148] Generated Node #3: [111, 148] from Operation: 4*37=148 Current State: 37:[111, 148], Operations: ['74+37=111', '4*37=148'] Exploring Operation: 148-111=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 66, 98, 51, 33 ]
45
[ "66/33=2", "98-51=47", "47-2=45" ]
Current State: 45:[66, 98, 51, 33], Operations: [] Exploring Operation: 66/33=2, Resulting Numbers: [98, 51, 2] Generated Node #2: [98, 51, 2] from Operation: 66/33=2 Current State: 45:[98, 51, 2], Operations: ['66/33=2'] Exploring Operation: 98-51=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 98-51=47 Current State: 45:[2, 47], Operations: ['66/33=2', '98-51=47'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 80, 72, 11, 5 ]
97
[ "80+72=152", "11*5=55", "152-55=97" ]
Current State: 97:[80, 72, 11, 5], Operations: [] Exploring Operation: 80+72=152, Resulting Numbers: [11, 5, 152] Generated Node #2: [11, 5, 152] from Operation: 80+72=152 Current State: 97:[11, 5, 152], Operations: ['80+72=152'] Exploring Operation: 11*5=55, Resulting Numbers: [152, 55] Generated Node #3: [152, 55] from Operation: 11*5=55 Current State: 97:[152, 55], Operations: ['80+72=152', '11*5=55'] Exploring Operation: 152-55=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 49, 34, 11, 99 ]
74
[ "49+34=83", "99/11=9", "83-9=74" ]
Current State: 74:[49, 34, 11, 99], Operations: [] Exploring Operation: 49+34=83, Resulting Numbers: [11, 99, 83] Generated Node #2: [11, 99, 83] from Operation: 49+34=83 Current State: 74:[11, 99, 83], Operations: ['49+34=83'] Exploring Operation: 99/11=9, Resulting Numbers: [83, 9] Generated Node #3: [83, 9] from Operation: 99/11=9 Current State: 74:[83, 9], Operations: ['49+34=83', '99/11=9'] Exploring Operation: 83-9=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 11, 2, 26, 12 ]
52
[ "12-11=1", "2*26=52", "1*52=52" ]
Current State: 52:[11, 2, 26, 12], Operations: [] Exploring Operation: 12-11=1, Resulting Numbers: [2, 26, 1] Generated Node #2: [2, 26, 1] from Operation: 12-11=1 Current State: 52:[2, 26, 1], Operations: ['12-11=1'] Exploring Operation: 2*26=52, Resulting Numbers: [1, 52] Generated Node #3: [1, 52] from Operation: 2*26=52 Current State: 52:[1, 52], Operations: ['12-11=1', '2*26=52'] Exploring Operation: 1*52=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 20, 24, 50, 65 ]
71
[ "20+24=44", "50+65=115", "115-44=71" ]
Current State: 71:[20, 24, 50, 65], Operations: [] Exploring Operation: 20+24=44, Resulting Numbers: [50, 65, 44] Generated Node #2: [50, 65, 44] from Operation: 20+24=44 Current State: 71:[50, 65, 44], Operations: ['20+24=44'] Exploring Operation: 50+65=115, Resulting Numbers: [44, 115] Generated Node #3: [44, 115] from Operation: 50+65=115 Current State: 71:[44, 115], Operations: ['20+24=44', '50+65=115'] Exploring Operation: 115-44=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 88, 44, 53, 73 ]
33
[ "88/44=2", "53*2=106", "106-73=33" ]
Current State: 33:[88, 44, 53, 73], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [53, 73, 2] Generated Node #2: [53, 73, 2] from Operation: 88/44=2 Current State: 33:[53, 73, 2], Operations: ['88/44=2'] Exploring Operation: 53*2=106, Resulting Numbers: [73, 106] Generated Node #3: [73, 106] from Operation: 53*2=106 Current State: 33:[73, 106], Operations: ['88/44=2', '53*2=106'] Exploring Operation: 106-73=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 45, 22, 27, 45 ]
22
[ "45-45=0", "27*0=0", "22+0=22" ]
Current State: 22:[45, 22, 27, 45], Operations: [] Exploring Operation: 45-45=0, Resulting Numbers: [22, 27, 0] Generated Node #2: [22, 27, 0] from Operation: 45-45=0 Current State: 22:[22, 27, 0], Operations: ['45-45=0'] Exploring Operation: 27*0=0, Resulting Numbers: [22, 0] Generated Node #3: [22, 0] from Operation: 27*0=0 Current State: 22:[22, 0], Operations: ['45-45=0', '27*0=0'] Exploring Operation: 22+0=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 3, 55, 26, 14 ]
71
[ "3*14=42", "55-26=29", "42+29=71" ]
Current State: 71:[3, 55, 26, 14], Operations: [] Exploring Operation: 3*14=42, Resulting Numbers: [55, 26, 42] Generated Node #2: [55, 26, 42] from Operation: 3*14=42 Current State: 71:[55, 26, 42], Operations: ['3*14=42'] Exploring Operation: 55-26=29, Resulting Numbers: [42, 29] Generated Node #3: [42, 29] from Operation: 55-26=29 Current State: 71:[42, 29], Operations: ['3*14=42', '55-26=29'] Exploring Operation: 42+29=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 40, 44, 76, 50 ]
42
[ "40+44=84", "76+50=126", "126-84=42" ]
Current State: 42:[40, 44, 76, 50], Operations: [] Exploring Operation: 40+44=84, Resulting Numbers: [76, 50, 84] Generated Node #2: [76, 50, 84] from Operation: 40+44=84 Current State: 42:[76, 50, 84], Operations: ['40+44=84'] Exploring Operation: 76+50=126, Resulting Numbers: [84, 126] Generated Node #3: [84, 126] from Operation: 76+50=126 Current State: 42:[84, 126], Operations: ['40+44=84', '76+50=126'] Exploring Operation: 126-84=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 41, 30, 52, 2 ]
43
[ "41-30=11", "52+2=54", "54-11=43" ]
Current State: 43:[41, 30, 52, 2], Operations: [] Exploring Operation: 41-30=11, Resulting Numbers: [52, 2, 11] Generated Node #2: [52, 2, 11] from Operation: 41-30=11 Current State: 43:[52, 2, 11], Operations: ['41-30=11'] Exploring Operation: 52+2=54, Resulting Numbers: [11, 54] Generated Node #3: [11, 54] from Operation: 52+2=54 Current State: 43:[11, 54], Operations: ['41-30=11', '52+2=54'] Exploring Operation: 54-11=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 3, 48, 65, 2 ]
27
[ "65-2=63", "63/3=21", "48-21=27" ]
Current State: 27:[3, 48, 65, 2], Operations: [] Exploring Operation: 65-2=63, Resulting Numbers: [3, 48, 63] Generated Node #2: [3, 48, 63] from Operation: 65-2=63 Current State: 27:[3, 48, 63], Operations: ['65-2=63'] Exploring Operation: 63/3=21, Resulting Numbers: [48, 21] Generated Node #3: [48, 21] from Operation: 63/3=21 Current State: 27:[48, 21], Operations: ['65-2=63', '63/3=21'] Exploring Operation: 48-21=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 5, 67, 79, 85 ]
25
[ "79-67=12", "5*12=60", "85-60=25" ]
Current State: 25:[5, 67, 79, 85], Operations: [] Exploring Operation: 79-67=12, Resulting Numbers: [5, 85, 12] Generated Node #2: [5, 85, 12] from Operation: 79-67=12 Current State: 25:[5, 85, 12], Operations: ['79-67=12'] Exploring Operation: 5*12=60, Resulting Numbers: [85, 60] Generated Node #3: [85, 60] from Operation: 5*12=60 Current State: 25:[85, 60], Operations: ['79-67=12', '5*12=60'] Exploring Operation: 85-60=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 71, 2, 92, 45 ]
73
[ "71+92=163", "2*45=90", "163-90=73" ]
Current State: 73:[71, 2, 92, 45], Operations: [] Exploring Operation: 71+92=163, Resulting Numbers: [2, 45, 163] Generated Node #2: [2, 45, 163] from Operation: 71+92=163 Current State: 73:[2, 45, 163], Operations: ['71+92=163'] Exploring Operation: 2*45=90, Resulting Numbers: [163, 90] Generated Node #3: [163, 90] from Operation: 2*45=90 Current State: 73:[163, 90], Operations: ['71+92=163', '2*45=90'] Exploring Operation: 163-90=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 22, 57, 34, 30 ]
83
[ "22+57=79", "34-30=4", "79+4=83" ]
Current State: 83:[22, 57, 34, 30], Operations: [] Exploring Operation: 22+57=79, Resulting Numbers: [34, 30, 79] Generated Node #2: [34, 30, 79] from Operation: 22+57=79 Current State: 83:[34, 30, 79], Operations: ['22+57=79'] Exploring Operation: 34-30=4, Resulting Numbers: [79, 4] Generated Node #3: [79, 4] from Operation: 34-30=4 Current State: 83:[79, 4], Operations: ['22+57=79', '34-30=4'] Exploring Operation: 79+4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 94, 28, 27, 56 ]
65
[ "94-27=67", "56/28=2", "67-2=65" ]
Current State: 65:[94, 28, 27, 56], Operations: [] Exploring Operation: 94-27=67, Resulting Numbers: [28, 56, 67] Generated Node #2: [28, 56, 67] from Operation: 94-27=67 Current State: 65:[28, 56, 67], Operations: ['94-27=67'] Exploring Operation: 56/28=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 56/28=2 Current State: 65:[67, 2], Operations: ['94-27=67', '56/28=2'] Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 42, 95, 65, 80 ]
44
[ "95+65=160", "160/80=2", "42+2=44" ]
Current State: 44:[42, 95, 65, 80], Operations: [] Exploring Operation: 95+65=160, Resulting Numbers: [42, 80, 160] Generated Node #2: [42, 80, 160] from Operation: 95+65=160 Current State: 44:[42, 80, 160], Operations: ['95+65=160'] Exploring Operation: 160/80=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 160/80=2 Current State: 44:[42, 2], Operations: ['95+65=160', '160/80=2'] Exploring Operation: 42+2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 22, 27, 36, 80 ]
38
[ "27*80=2160", "2160/36=60", "60-22=38" ]
Current State: 38:[22, 27, 36, 80], Operations: [] Exploring Operation: 27*80=2160, Resulting Numbers: [22, 36, 2160] Generated Node #2: [22, 36, 2160] from Operation: 27*80=2160 Current State: 38:[22, 36, 2160], Operations: ['27*80=2160'] Exploring Operation: 2160/36=60, Resulting Numbers: [22, 60] Generated Node #3: [22, 60] from Operation: 2160/36=60 Current State: 38:[22, 60], Operations: ['27*80=2160', '2160/36=60'] Exploring Operation: 60-22=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 53, 44, 85, 62 ]
14
[ "53-44=9", "85-62=23", "23-9=14" ]
Current State: 14:[53, 44, 85, 62], Operations: [] Exploring Operation: 53-44=9, Resulting Numbers: [85, 62, 9] Generated Node #2: [85, 62, 9] from Operation: 53-44=9 Current State: 14:[85, 62, 9], Operations: ['53-44=9'] Exploring Operation: 85-62=23, Resulting Numbers: [9, 23] Generated Node #3: [9, 23] from Operation: 85-62=23 Current State: 14:[9, 23], Operations: ['53-44=9', '85-62=23'] Exploring Operation: 23-9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 79, 62, 51, 43 ]
40
[ "79-62=17", "51/17=3", "43-3=40" ]
Current State: 40:[79, 62, 51, 43], Operations: [] Exploring Operation: 79-62=17, Resulting Numbers: [51, 43, 17] Generated Node #2: [51, 43, 17] from Operation: 79-62=17 Current State: 40:[51, 43, 17], Operations: ['79-62=17'] Exploring Operation: 51/17=3, Resulting Numbers: [43, 3] Generated Node #3: [43, 3] from Operation: 51/17=3 Current State: 40:[43, 3], Operations: ['79-62=17', '51/17=3'] Exploring Operation: 43-3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 91, 33, 6, 7 ]
98
[ "33-6=27", "7*27=189", "189-91=98" ]
Current State: 98:[91, 33, 6, 7], Operations: [] Exploring Operation: 33-6=27, Resulting Numbers: [91, 7, 27] Generated Node #2: [91, 7, 27] from Operation: 33-6=27 Current State: 98:[91, 7, 27], Operations: ['33-6=27'] Exploring Operation: 7*27=189, Resulting Numbers: [91, 189] Generated Node #3: [91, 189] from Operation: 7*27=189 Current State: 98:[91, 189], Operations: ['33-6=27', '7*27=189'] Exploring Operation: 189-91=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 43, 41, 15, 25 ]
20
[ "43-41=2", "15+25=40", "40/2=20" ]
Current State: 20:[43, 41, 15, 25], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [15, 25, 2] Generated Node #2: [15, 25, 2] from Operation: 43-41=2 Current State: 20:[15, 25, 2], Operations: ['43-41=2'] Exploring Operation: 15+25=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 15+25=40 Current State: 20:[2, 40], Operations: ['43-41=2', '15+25=40'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 52, 65, 37, 40 ]
13
[ "65*40=2600", "2600/52=50", "50-37=13" ]
Current State: 13:[52, 65, 37, 40], Operations: [] Exploring Operation: 65*40=2600, Resulting Numbers: [52, 37, 2600] Generated Node #2: [52, 37, 2600] from Operation: 65*40=2600 Current State: 13:[52, 37, 2600], Operations: ['65*40=2600'] Exploring Operation: 2600/52=50, Resulting Numbers: [37, 50] Generated Node #3: [37, 50] from Operation: 2600/52=50 Current State: 13:[37, 50], Operations: ['65*40=2600', '2600/52=50'] Exploring Operation: 50-37=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 53, 74, 47, 74 ]
47
[ "74-74=0", "53*0=0", "47+0=47" ]
Current State: 47:[53, 74, 47, 74], Operations: [] Exploring Operation: 74-74=0, Resulting Numbers: [53, 47, 0] Generated Node #2: [53, 47, 0] from Operation: 74-74=0 Current State: 47:[53, 47, 0], Operations: ['74-74=0'] Exploring Operation: 53*0=0, Resulting Numbers: [47, 0] Generated Node #3: [47, 0] from Operation: 53*0=0 Current State: 47:[47, 0], Operations: ['74-74=0', '53*0=0'] Exploring Operation: 47+0=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 79, 59, 9, 42 ]
13
[ "79-59=20", "42-9=33", "33-20=13" ]
Current State: 13:[79, 59, 9, 42], Operations: [] Exploring Operation: 79-59=20, Resulting Numbers: [9, 42, 20] Generated Node #2: [9, 42, 20] from Operation: 79-59=20 Current State: 13:[9, 42, 20], Operations: ['79-59=20'] Exploring Operation: 42-9=33, Resulting Numbers: [20, 33] Generated Node #3: [20, 33] from Operation: 42-9=33 Current State: 13:[20, 33], Operations: ['79-59=20', '42-9=33'] Exploring Operation: 33-20=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 14, 88, 88, 4 ]
80
[ "14+88=102", "88/4=22", "102-22=80" ]
Current State: 80:[14, 88, 88, 4], Operations: [] Exploring Operation: 14+88=102, Resulting Numbers: [4, 102] Generated Node #2: [4, 102] from Operation: 14+88=102 Current State: 80:[4, 102], Operations: ['14+88=102'] Exploring Operation: 88/4=22, Resulting Numbers: [102, 22] Generated Node #3: [102, 22] from Operation: 88/4=22 Current State: 80:[102, 22], Operations: ['14+88=102', '88/4=22'] Exploring Operation: 102-22=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 61, 92, 94, 74 ]
87
[ "94-92=2", "74*2=148", "148-61=87" ]
Current State: 87:[61, 92, 94, 74], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [61, 74, 2] Generated Node #2: [61, 74, 2] from Operation: 94-92=2 Current State: 87:[61, 74, 2], Operations: ['94-92=2'] Exploring Operation: 74*2=148, Resulting Numbers: [61, 148] Generated Node #3: [61, 148] from Operation: 74*2=148 Current State: 87:[61, 148], Operations: ['94-92=2', '74*2=148'] Exploring Operation: 148-61=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 21, 17, 96, 32 ]
60
[ "21-17=4", "96-32=64", "64-4=60" ]
Current State: 60:[21, 17, 96, 32], Operations: [] Exploring Operation: 21-17=4, Resulting Numbers: [96, 32, 4] Generated Node #2: [96, 32, 4] from Operation: 21-17=4 Current State: 60:[96, 32, 4], Operations: ['21-17=4'] Exploring Operation: 96-32=64, Resulting Numbers: [4, 64] Generated Node #3: [4, 64] from Operation: 96-32=64 Current State: 60:[4, 64], Operations: ['21-17=4', '96-32=64'] Exploring Operation: 64-4=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 15, 54, 80, 97 ]
22
[ "54-15=39", "97-80=17", "39-17=22" ]
Current State: 22:[15, 54, 80, 97], Operations: [] Exploring Operation: 54-15=39, Resulting Numbers: [80, 97, 39] Generated Node #2: [80, 97, 39] from Operation: 54-15=39 Current State: 22:[80, 97, 39], Operations: ['54-15=39'] Exploring Operation: 97-80=17, Resulting Numbers: [39, 17] Generated Node #3: [39, 17] from Operation: 97-80=17 Current State: 22:[39, 17], Operations: ['54-15=39', '97-80=17'] Exploring Operation: 39-17=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 28, 54, 51, 76 ]
16
[ "76-28=48", "54-51=3", "48/3=16" ]
Current State: 16:[28, 54, 51, 76], Operations: [] Exploring Operation: 76-28=48, Resulting Numbers: [54, 51, 48] Generated Node #2: [54, 51, 48] from Operation: 76-28=48 Current State: 16:[54, 51, 48], Operations: ['76-28=48'] Exploring Operation: 54-51=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 54-51=3 Current State: 16:[48, 3], Operations: ['76-28=48', '54-51=3'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 54, 25, 98, 79 ]
98
[ "54+25=79", "98+79=177", "177-79=98" ]
Current State: 98:[54, 25, 98, 79], Operations: [] Exploring Operation: 54+25=79, Resulting Numbers: [98, 79, 79] Generated Node #2: [98, 79, 79] from Operation: 54+25=79 Current State: 98:[98, 79, 79], Operations: ['54+25=79'] Exploring Operation: 98+79=177, Resulting Numbers: [177] 177,98 equal: Goal Reached Exploring Operation: 177-79=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 70, 39, 26, 64 ]
70
[ "39+26=65", "65-64=1", "70*1=70" ]
Current State: 70:[70, 39, 26, 64], Operations: [] Exploring Operation: 39+26=65, Resulting Numbers: [70, 64, 65] Generated Node #2: [70, 64, 65] from Operation: 39+26=65 Current State: 70:[70, 64, 65], Operations: ['39+26=65'] Exploring Operation: 65-64=1, Resulting Numbers: [70, 1] Generated Node #3: [70, 1] from Operation: 65-64=1 Current State: 70:[70, 1], Operations: ['39+26=65', '65-64=1'] Exploring Operation: 70*1=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 39, 21, 15, 34 ]
11
[ "39+21=60", "15+34=49", "60-49=11" ]
Current State: 11:[39, 21, 15, 34], Operations: [] Exploring Operation: 39+21=60, Resulting Numbers: [15, 34, 60] Generated Node #2: [15, 34, 60] from Operation: 39+21=60 Current State: 11:[15, 34, 60], Operations: ['39+21=60'] Exploring Operation: 15+34=49, Resulting Numbers: [60, 49] Generated Node #3: [60, 49] from Operation: 15+34=49 Current State: 11:[60, 49], Operations: ['39+21=60', '15+34=49'] Exploring Operation: 60-49=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 54, 82, 51, 58 ]
35
[ "82-54=28", "58-51=7", "28+7=35" ]
Current State: 35:[54, 82, 51, 58], Operations: [] Exploring Operation: 82-54=28, Resulting Numbers: [51, 58, 28] Generated Node #2: [51, 58, 28] from Operation: 82-54=28 Current State: 35:[51, 58, 28], Operations: ['82-54=28'] Exploring Operation: 58-51=7, Resulting Numbers: [28, 7] Generated Node #3: [28, 7] from Operation: 58-51=7 Current State: 35:[28, 7], Operations: ['82-54=28', '58-51=7'] Exploring Operation: 28+7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 22, 88, 30, 13 ]
92
[ "22+30=52", "52/13=4", "88+4=92" ]
Current State: 92:[22, 88, 30, 13], Operations: [] Exploring Operation: 22+30=52, Resulting Numbers: [88, 13, 52] Generated Node #2: [88, 13, 52] from Operation: 22+30=52 Current State: 92:[88, 13, 52], Operations: ['22+30=52'] Exploring Operation: 52/13=4, Resulting Numbers: [88, 4] Generated Node #3: [88, 4] from Operation: 52/13=4 Current State: 92:[88, 4], Operations: ['22+30=52', '52/13=4'] Exploring Operation: 88+4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 32, 4, 33, 87 ]
96
[ "32*87=2784", "33-4=29", "2784/29=96" ]
Current State: 96:[32, 4, 33, 87], Operations: [] Exploring Operation: 32*87=2784, Resulting Numbers: [4, 33, 2784] Generated Node #2: [4, 33, 2784] from Operation: 32*87=2784 Current State: 96:[4, 33, 2784], Operations: ['32*87=2784'] Exploring Operation: 33-4=29, Resulting Numbers: [2784, 29] Generated Node #3: [2784, 29] from Operation: 33-4=29 Current State: 96:[2784, 29], Operations: ['32*87=2784', '33-4=29'] Exploring Operation: 2784/29=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 9, 99, 45, 56 ]
28
[ "99-9=90", "45*56=2520", "2520/90=28" ]
Current State: 28:[9, 99, 45, 56], Operations: [] Exploring Operation: 99-9=90, Resulting Numbers: [45, 56, 90] Generated Node #2: [45, 56, 90] from Operation: 99-9=90 Current State: 28:[45, 56, 90], Operations: ['99-9=90'] Exploring Operation: 45*56=2520, Resulting Numbers: [90, 2520] Generated Node #3: [90, 2520] from Operation: 45*56=2520 Current State: 28:[90, 2520], Operations: ['99-9=90', '45*56=2520'] Exploring Operation: 2520/90=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 14, 64, 41, 58 ]
33
[ "64-14=50", "58-41=17", "50-17=33" ]
Current State: 33:[14, 64, 41, 58], Operations: [] Exploring Operation: 64-14=50, Resulting Numbers: [41, 58, 50] Generated Node #2: [41, 58, 50] from Operation: 64-14=50 Current State: 33:[41, 58, 50], Operations: ['64-14=50'] Exploring Operation: 58-41=17, Resulting Numbers: [50, 17] Generated Node #3: [50, 17] from Operation: 58-41=17 Current State: 33:[50, 17], Operations: ['64-14=50', '58-41=17'] Exploring Operation: 50-17=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 11, 9, 84, 89 ]
79
[ "11-9=2", "84*2=168", "168-89=79" ]
Current State: 79:[11, 9, 84, 89], Operations: [] Exploring Operation: 11-9=2, Resulting Numbers: [84, 89, 2] Generated Node #2: [84, 89, 2] from Operation: 11-9=2 Current State: 79:[84, 89, 2], Operations: ['11-9=2'] Exploring Operation: 84*2=168, Resulting Numbers: [89, 168] Generated Node #3: [89, 168] from Operation: 84*2=168 Current State: 79:[89, 168], Operations: ['11-9=2', '84*2=168'] Exploring Operation: 168-89=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 84, 91, 51, 24 ]
25
[ "91*24=2184", "2184/84=26", "51-26=25" ]
Current State: 25:[84, 91, 51, 24], Operations: [] Exploring Operation: 91*24=2184, Resulting Numbers: [84, 51, 2184] Generated Node #2: [84, 51, 2184] from Operation: 91*24=2184 Current State: 25:[84, 51, 2184], Operations: ['91*24=2184'] Exploring Operation: 2184/84=26, Resulting Numbers: [51, 26] Generated Node #3: [51, 26] from Operation: 2184/84=26 Current State: 25:[51, 26], Operations: ['91*24=2184', '2184/84=26'] Exploring Operation: 51-26=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 15, 1, 10, 4 ]
21
[ "15*1=15", "10-4=6", "15+6=21" ]
Current State: 21:[15, 1, 10, 4], Operations: [] Exploring Operation: 15*1=15, Resulting Numbers: [10, 4, 15] Generated Node #2: [10, 4, 15] from Operation: 15*1=15 Current State: 21:[10, 4, 15], Operations: ['15*1=15'] Exploring Operation: 10-4=6, Resulting Numbers: [15, 6] Generated Node #3: [15, 6] from Operation: 10-4=6 Current State: 21:[15, 6], Operations: ['15*1=15', '10-4=6'] Exploring Operation: 15+6=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 89, 17, 50, 91 ]
16
[ "91-89=2", "17*2=34", "50-34=16" ]
Current State: 16:[89, 17, 50, 91], Operations: [] Exploring Operation: 91-89=2, Resulting Numbers: [17, 50, 2] Generated Node #2: [17, 50, 2] from Operation: 91-89=2 Current State: 16:[17, 50, 2], Operations: ['91-89=2'] Exploring Operation: 17*2=34, Resulting Numbers: [50, 34] Generated Node #3: [50, 34] from Operation: 17*2=34 Current State: 16:[50, 34], Operations: ['91-89=2', '17*2=34'] Exploring Operation: 50-34=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 5, 88, 72, 61 ]
93
[ "88+72=160", "160/5=32", "61+32=93" ]
Current State: 93:[5, 88, 72, 61], Operations: [] Exploring Operation: 88+72=160, Resulting Numbers: [5, 61, 160] Generated Node #2: [5, 61, 160] from Operation: 88+72=160 Current State: 93:[5, 61, 160], Operations: ['88+72=160'] Exploring Operation: 160/5=32, Resulting Numbers: [61, 32] Generated Node #3: [61, 32] from Operation: 160/5=32 Current State: 93:[61, 32], Operations: ['88+72=160', '160/5=32'] Exploring Operation: 61+32=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 64, 30, 67, 3 ]
30
[ "64+30=94", "67-3=64", "94-64=30" ]
Current State: 30:[64, 30, 67, 3], Operations: [] Exploring Operation: 64+30=94, Resulting Numbers: [67, 3, 94] Generated Node #2: [67, 3, 94] from Operation: 64+30=94 Current State: 30:[67, 3, 94], Operations: ['64+30=94'] Exploring Operation: 67-3=64, Resulting Numbers: [94, 64] Generated Node #3: [94, 64] from Operation: 67-3=64 Current State: 30:[94, 64], Operations: ['64+30=94', '67-3=64'] Exploring Operation: 94-64=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 60, 56, 64, 38 ]
90
[ "60+56=116", "64-38=26", "116-26=90" ]
Current State: 90:[60, 56, 64, 38], Operations: [] Exploring Operation: 60+56=116, Resulting Numbers: [64, 38, 116] Generated Node #2: [64, 38, 116] from Operation: 60+56=116 Current State: 90:[64, 38, 116], Operations: ['60+56=116'] Exploring Operation: 64-38=26, Resulting Numbers: [116, 26] Generated Node #3: [116, 26] from Operation: 64-38=26 Current State: 90:[116, 26], Operations: ['60+56=116', '64-38=26'] Exploring Operation: 116-26=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 16, 66, 73, 76 ]
85
[ "16+66=82", "76-73=3", "82+3=85" ]
Current State: 85:[16, 66, 73, 76], Operations: [] Exploring Operation: 16+66=82, Resulting Numbers: [73, 76, 82] Generated Node #2: [73, 76, 82] from Operation: 16+66=82 Current State: 85:[73, 76, 82], Operations: ['16+66=82'] Exploring Operation: 76-73=3, Resulting Numbers: [82, 3] Generated Node #3: [82, 3] from Operation: 76-73=3 Current State: 85:[82, 3], Operations: ['16+66=82', '76-73=3'] Exploring Operation: 82+3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 36, 15, 97, 53 ]
46
[ "97+53=150", "150/15=10", "36+10=46" ]
Current State: 46:[36, 15, 97, 53], Operations: [] Exploring Operation: 97+53=150, Resulting Numbers: [36, 15, 150] Generated Node #2: [36, 15, 150] from Operation: 97+53=150 Current State: 46:[36, 15, 150], Operations: ['97+53=150'] Exploring Operation: 150/15=10, Resulting Numbers: [36, 10] Generated Node #3: [36, 10] from Operation: 150/15=10 Current State: 46:[36, 10], Operations: ['97+53=150', '150/15=10'] Exploring Operation: 36+10=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 17, 5, 83, 36 ]
86
[ "17-5=12", "36/12=3", "83+3=86" ]
Current State: 86:[17, 5, 83, 36], Operations: [] Exploring Operation: 17-5=12, Resulting Numbers: [83, 36, 12] Generated Node #2: [83, 36, 12] from Operation: 17-5=12 Current State: 86:[83, 36, 12], Operations: ['17-5=12'] Exploring Operation: 36/12=3, Resulting Numbers: [83, 3] Generated Node #3: [83, 3] from Operation: 36/12=3 Current State: 86:[83, 3], Operations: ['17-5=12', '36/12=3'] Exploring Operation: 83+3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 2, 21, 62, 75 ]
17
[ "62-21=41", "75-41=34", "34/2=17" ]
Current State: 17:[2, 21, 62, 75], Operations: [] Exploring Operation: 62-21=41, Resulting Numbers: [2, 75, 41] Generated Node #2: [2, 75, 41] from Operation: 62-21=41 Current State: 17:[2, 75, 41], Operations: ['62-21=41'] Exploring Operation: 75-41=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 75-41=34 Current State: 17:[2, 34], Operations: ['62-21=41', '75-41=34'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 18, 17, 37, 86 ]
83
[ "17+37=54", "54/18=3", "86-3=83" ]
Current State: 83:[18, 17, 37, 86], Operations: [] Exploring Operation: 17+37=54, Resulting Numbers: [18, 86, 54] Generated Node #2: [18, 86, 54] from Operation: 17+37=54 Current State: 83:[18, 86, 54], Operations: ['17+37=54'] Exploring Operation: 54/18=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 54/18=3 Current State: 83:[86, 3], Operations: ['17+37=54', '54/18=3'] Exploring Operation: 86-3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 32, 44, 68, 40 ]
96
[ "44-32=12", "68+40=108", "108-12=96" ]
Current State: 96:[32, 44, 68, 40], Operations: [] Exploring Operation: 44-32=12, Resulting Numbers: [68, 40, 12] Generated Node #2: [68, 40, 12] from Operation: 44-32=12 Current State: 96:[68, 40, 12], Operations: ['44-32=12'] Exploring Operation: 68+40=108, Resulting Numbers: [12, 108] Generated Node #3: [12, 108] from Operation: 68+40=108 Current State: 96:[12, 108], Operations: ['44-32=12', '68+40=108'] Exploring Operation: 108-12=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 98, 3, 69, 11 ]
64
[ "98-11=87", "69/3=23", "87-23=64" ]
Current State: 64:[98, 3, 69, 11], Operations: [] Exploring Operation: 98-11=87, Resulting Numbers: [3, 69, 87] Generated Node #2: [3, 69, 87] from Operation: 98-11=87 Current State: 64:[3, 69, 87], Operations: ['98-11=87'] Exploring Operation: 69/3=23, Resulting Numbers: [87, 23] Generated Node #3: [87, 23] from Operation: 69/3=23 Current State: 64:[87, 23], Operations: ['98-11=87', '69/3=23'] Exploring Operation: 87-23=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 24, 81, 3, 14 ]
75
[ "24/3=8", "81-14=67", "8+67=75" ]
Current State: 75:[24, 81, 3, 14], Operations: [] Exploring Operation: 24/3=8, Resulting Numbers: [81, 14, 8] Generated Node #2: [81, 14, 8] from Operation: 24/3=8 Current State: 75:[81, 14, 8], Operations: ['24/3=8'] Exploring Operation: 81-14=67, Resulting Numbers: [8, 67] Generated Node #3: [8, 67] from Operation: 81-14=67 Current State: 75:[8, 67], Operations: ['24/3=8', '81-14=67'] Exploring Operation: 8+67=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 29, 28, 67, 52 ]
62
[ "29+28=57", "67+52=119", "119-57=62" ]
Current State: 62:[29, 28, 67, 52], Operations: [] Exploring Operation: 29+28=57, Resulting Numbers: [67, 52, 57] Generated Node #2: [67, 52, 57] from Operation: 29+28=57 Current State: 62:[67, 52, 57], Operations: ['29+28=57'] Exploring Operation: 67+52=119, Resulting Numbers: [57, 119] Generated Node #3: [57, 119] from Operation: 67+52=119 Current State: 62:[57, 119], Operations: ['29+28=57', '67+52=119'] Exploring Operation: 119-57=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 66, 90, 31, 6 ]
70
[ "66/6=11", "90-31=59", "11+59=70" ]
Current State: 70:[66, 90, 31, 6], Operations: [] Exploring Operation: 66/6=11, Resulting Numbers: [90, 31, 11] Generated Node #2: [90, 31, 11] from Operation: 66/6=11 Current State: 70:[90, 31, 11], Operations: ['66/6=11'] Exploring Operation: 90-31=59, Resulting Numbers: [11, 59] Generated Node #3: [11, 59] from Operation: 90-31=59 Current State: 70:[11, 59], Operations: ['66/6=11', '90-31=59'] Exploring Operation: 11+59=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 9, 8, 28, 9 ]
53
[ "9*8=72", "28-9=19", "72-19=53" ]
Current State: 53:[9, 8, 28, 9], Operations: [] Exploring Operation: 9*8=72, Resulting Numbers: [28, 72] Generated Node #2: [28, 72] from Operation: 9*8=72 Current State: 53:[28, 72], Operations: ['9*8=72'] Exploring Operation: 28-9=19, Resulting Numbers: [72, 19] Generated Node #3: [72, 19] from Operation: 28-9=19 Current State: 53:[72, 19], Operations: ['9*8=72', '28-9=19'] Exploring Operation: 72-19=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 35, 55, 2, 76 ]
86
[ "55-35=20", "20/2=10", "76+10=86" ]
Current State: 86:[35, 55, 2, 76], Operations: [] Exploring Operation: 55-35=20, Resulting Numbers: [2, 76, 20] Generated Node #2: [2, 76, 20] from Operation: 55-35=20 Current State: 86:[2, 76, 20], Operations: ['55-35=20'] Exploring Operation: 20/2=10, Resulting Numbers: [76, 10] Generated Node #3: [76, 10] from Operation: 20/2=10 Current State: 86:[76, 10], Operations: ['55-35=20', '20/2=10'] Exploring Operation: 76+10=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 5, 51, 35, 31 ]
75
[ "35/5=7", "51+31=82", "82-7=75" ]
Current State: 75:[5, 51, 35, 31], Operations: [] Exploring Operation: 35/5=7, Resulting Numbers: [51, 31, 7] Generated Node #2: [51, 31, 7] from Operation: 35/5=7 Current State: 75:[51, 31, 7], Operations: ['35/5=7'] Exploring Operation: 51+31=82, Resulting Numbers: [7, 82] Generated Node #3: [7, 82] from Operation: 51+31=82 Current State: 75:[7, 82], Operations: ['35/5=7', '51+31=82'] Exploring Operation: 82-7=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 24, 99, 30, 32 ]
87
[ "32-30=2", "24/2=12", "99-12=87" ]
Current State: 87:[24, 99, 30, 32], Operations: [] Exploring Operation: 32-30=2, Resulting Numbers: [24, 99, 2] Generated Node #2: [24, 99, 2] from Operation: 32-30=2 Current State: 87:[24, 99, 2], Operations: ['32-30=2'] Exploring Operation: 24/2=12, Resulting Numbers: [99, 12] Generated Node #3: [99, 12] from Operation: 24/2=12 Current State: 87:[99, 12], Operations: ['32-30=2', '24/2=12'] Exploring Operation: 99-12=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 63, 32, 72, 50 ]
67
[ "50-32=18", "72/18=4", "63+4=67" ]
Current State: 67:[63, 32, 72, 50], Operations: [] Exploring Operation: 50-32=18, Resulting Numbers: [63, 72, 18] Generated Node #2: [63, 72, 18] from Operation: 50-32=18 Current State: 67:[63, 72, 18], Operations: ['50-32=18'] Exploring Operation: 72/18=4, Resulting Numbers: [63, 4] Generated Node #3: [63, 4] from Operation: 72/18=4 Current State: 67:[63, 4], Operations: ['50-32=18', '72/18=4'] Exploring Operation: 63+4=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 37, 40, 64, 75 ]
83
[ "64*75=4800", "4800/40=120", "120-37=83" ]
Current State: 83:[37, 40, 64, 75], Operations: [] Exploring Operation: 64*75=4800, Resulting Numbers: [37, 40, 4800] Generated Node #2: [37, 40, 4800] from Operation: 64*75=4800 Current State: 83:[37, 40, 4800], Operations: ['64*75=4800'] Exploring Operation: 4800/40=120, Resulting Numbers: [37, 120] Generated Node #3: [37, 120] from Operation: 4800/40=120 Current State: 83:[37, 120], Operations: ['64*75=4800', '4800/40=120'] Exploring Operation: 120-37=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 40, 48, 61, 15 ]
67
[ "40*48=1920", "1920/15=128", "128-61=67" ]
Current State: 67:[40, 48, 61, 15], Operations: [] Exploring Operation: 40*48=1920, Resulting Numbers: [61, 15, 1920] Generated Node #2: [61, 15, 1920] from Operation: 40*48=1920 Current State: 67:[61, 15, 1920], Operations: ['40*48=1920'] Exploring Operation: 1920/15=128, Resulting Numbers: [61, 128] Generated Node #3: [61, 128] from Operation: 1920/15=128 Current State: 67:[61, 128], Operations: ['40*48=1920', '1920/15=128'] Exploring Operation: 128-61=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 19, 53, 39, 89 ]
94
[ "53-19=34", "39+89=128", "128-34=94" ]
Current State: 94:[19, 53, 39, 89], Operations: [] Exploring Operation: 53-19=34, Resulting Numbers: [39, 89, 34] Generated Node #2: [39, 89, 34] from Operation: 53-19=34 Current State: 94:[39, 89, 34], Operations: ['53-19=34'] Exploring Operation: 39+89=128, Resulting Numbers: [34, 128] Generated Node #3: [34, 128] from Operation: 39+89=128 Current State: 94:[34, 128], Operations: ['53-19=34', '39+89=128'] Exploring Operation: 128-34=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 23, 13, 59, 88 ]
54
[ "88-23=65", "65/13=5", "59-5=54" ]
Current State: 54:[23, 13, 59, 88], Operations: [] Exploring Operation: 88-23=65, Resulting Numbers: [13, 59, 65] Generated Node #2: [13, 59, 65] from Operation: 88-23=65 Current State: 54:[13, 59, 65], Operations: ['88-23=65'] Exploring Operation: 65/13=5, Resulting Numbers: [59, 5] Generated Node #3: [59, 5] from Operation: 65/13=5 Current State: 54:[59, 5], Operations: ['88-23=65', '65/13=5'] Exploring Operation: 59-5=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 8, 22, 11, 29 ]
42
[ "29-8=21", "22/11=2", "21*2=42" ]
Current State: 42:[8, 22, 11, 29], Operations: [] Exploring Operation: 29-8=21, Resulting Numbers: [22, 11, 21] Generated Node #2: [22, 11, 21] from Operation: 29-8=21 Current State: 42:[22, 11, 21], Operations: ['29-8=21'] Exploring Operation: 22/11=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 22/11=2 Current State: 42:[21, 2], Operations: ['29-8=21', '22/11=2'] Exploring Operation: 21*2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 57, 77, 42, 55 ]
70
[ "57-55=2", "77-42=35", "2*35=70" ]
Current State: 70:[57, 77, 42, 55], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [77, 42, 2] Generated Node #2: [77, 42, 2] from Operation: 57-55=2 Current State: 70:[77, 42, 2], Operations: ['57-55=2'] Exploring Operation: 77-42=35, Resulting Numbers: [2, 35] Generated Node #3: [2, 35] from Operation: 77-42=35 Current State: 70:[2, 35], Operations: ['57-55=2', '77-42=35'] Exploring Operation: 2*35=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 52, 73, 66, 58 ]
62
[ "58-52=6", "66/6=11", "73-11=62" ]
Current State: 62:[52, 73, 66, 58], Operations: [] Exploring Operation: 58-52=6, Resulting Numbers: [73, 66, 6] Generated Node #2: [73, 66, 6] from Operation: 58-52=6 Current State: 62:[73, 66, 6], Operations: ['58-52=6'] Exploring Operation: 66/6=11, Resulting Numbers: [73, 11] Generated Node #3: [73, 11] from Operation: 66/6=11 Current State: 62:[73, 11], Operations: ['58-52=6', '66/6=11'] Exploring Operation: 73-11=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 52, 22, 68, 1 ]
97
[ "52-22=30", "68-1=67", "30+67=97" ]
Current State: 97:[52, 22, 68, 1], Operations: [] Exploring Operation: 52-22=30, Resulting Numbers: [68, 1, 30] Generated Node #2: [68, 1, 30] from Operation: 52-22=30 Current State: 97:[68, 1, 30], Operations: ['52-22=30'] Exploring Operation: 68-1=67, Resulting Numbers: [30, 67] Generated Node #3: [30, 67] from Operation: 68-1=67 Current State: 97:[30, 67], Operations: ['52-22=30', '68-1=67'] Exploring Operation: 30+67=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 78, 56, 3, 8 ]
11
[ "78-56=22", "3+8=11", "22-11=11" ]
Current State: 11:[78, 56, 3, 8], Operations: [] Exploring Operation: 78-56=22, Resulting Numbers: [3, 8, 22] Generated Node #2: [3, 8, 22] from Operation: 78-56=22 Current State: 11:[3, 8, 22], Operations: ['78-56=22'] Exploring Operation: 3+8=11, Resulting Numbers: [22, 11] Generated Node #3: [22, 11] from Operation: 3+8=11 Current State: 11:[22, 11], Operations: ['78-56=22', '3+8=11'] Exploring Operation: 22-11=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4