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
[ 84, 70, 41, 36 ]
77
[ "84+70=154", "41+36=77", "154-77=77" ]
Current State: 77:[84, 70, 41, 36], Operations: [] Exploring Operation: 84+70=154, Resulting Numbers: [41, 36, 154] Generated Node #2: [41, 36, 154] from Operation: 84+70=154 Current State: 77:[41, 36, 154], Operations: ['84+70=154'] Exploring Operation: 41+36=77, Resulting Numbers: [154, 77] Generated Node #3: [154, 77] from Operation: 41+36=77 Current State: 77:[154, 77], Operations: ['84+70=154', '41+36=77'] Exploring Operation: 154-77=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 45, 3, 16, 11 ]
36
[ "16+11=27", "3*27=81", "81-45=36" ]
Current State: 36:[45, 3, 16, 11], Operations: [] Exploring Operation: 16+11=27, Resulting Numbers: [45, 3, 27] Generated Node #2: [45, 3, 27] from Operation: 16+11=27 Current State: 36:[45, 3, 27], Operations: ['16+11=27'] Exploring Operation: 3*27=81, Resulting Numbers: [45, 81] Generated Node #3: [45, 81] from Operation: 3*27=81 Current State: 36:[45, 81], Operations: ['16+11=27', '3*27=81'] Exploring Operation: 81-45=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 1, 4, 48, 14 ]
65
[ "4-1=3", "48+14=62", "3+62=65" ]
Current State: 65:[1, 4, 48, 14], Operations: [] Exploring Operation: 4-1=3, Resulting Numbers: [48, 14, 3] Generated Node #2: [48, 14, 3] from Operation: 4-1=3 Current State: 65:[48, 14, 3], Operations: ['4-1=3'] Exploring Operation: 48+14=62, Resulting Numbers: [3, 62] Generated Node #3: [3, 62] from Operation: 48+14=62 Current State: 65:[3, 62], Operations: ['4-1=3', '48+14=62'] Exploring Operation: 3+62=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 25, 5, 5, 85 ]
85
[ "25/5=5", "5+85=90", "90-5=85" ]
Current State: 85:[25, 5, 5, 85], Operations: [] Exploring Operation: 25/5=5, Resulting Numbers: [85, 5] Generated Node #2: [85, 5] from Operation: 25/5=5 Current State: 85:[85, 5], Operations: ['25/5=5'] Exploring Operation: 5+85=90, Resulting Numbers: [90] 90,85 equal: Goal Reached Exploring Operation: 90-5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 7, 48, 23, 81 ]
49
[ "7+48=55", "23+81=104", "104-55=49" ]
Current State: 49:[7, 48, 23, 81], Operations: [] Exploring Operation: 7+48=55, Resulting Numbers: [23, 81, 55] Generated Node #2: [23, 81, 55] from Operation: 7+48=55 Current State: 49:[23, 81, 55], Operations: ['7+48=55'] Exploring Operation: 23+81=104, Resulting Numbers: [55, 104] Generated Node #3: [55, 104] from Operation: 23+81=104 Current State: 49:[55, 104], Operations: ['7+48=55', '23+81=104'] Exploring Operation: 104-55=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 23, 31, 70, 96 ]
38
[ "23*96=2208", "31*70=2170", "2208-2170=38" ]
Current State: 38:[23, 31, 70, 96], Operations: [] Exploring Operation: 23*96=2208, Resulting Numbers: [31, 70, 2208] Generated Node #2: [31, 70, 2208] from Operation: 23*96=2208 Current State: 38:[31, 70, 2208], Operations: ['23*96=2208'] Exploring Operation: 31*70=2170, Resulting Numbers: [2208, 2170] Generated Node #3: [2208, 2170] from Operation: 31*70=2170 Current State: 38:[2208, 2170], Operations: ['23*96=2208', '31*70=2170'] Exploring Operation: 2208-2170=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 5, 32, 6, 76 ]
38
[ "5*6=30", "32-30=2", "76/2=38" ]
Current State: 38:[5, 32, 6, 76], Operations: [] Exploring Operation: 5*6=30, Resulting Numbers: [32, 76, 30] Generated Node #2: [32, 76, 30] from Operation: 5*6=30 Current State: 38:[32, 76, 30], Operations: ['5*6=30'] Exploring Operation: 32-30=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 32-30=2 Current State: 38:[76, 2], Operations: ['5*6=30', '32-30=2'] Exploring Operation: 76/2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 42, 98, 79, 14 ]
59
[ "42/14=3", "98+79=177", "177/3=59" ]
Current State: 59:[42, 98, 79, 14], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [98, 79, 3] Generated Node #2: [98, 79, 3] from Operation: 42/14=3 Current State: 59:[98, 79, 3], Operations: ['42/14=3'] Exploring Operation: 98+79=177, Resulting Numbers: [3, 177] Generated Node #3: [3, 177] from Operation: 98+79=177 Current State: 59:[3, 177], Operations: ['42/14=3', '98+79=177'] Exploring Operation: 177/3=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 30, 24, 3, 26 ]
96
[ "30-24=6", "26+6=32", "3*32=96" ]
Current State: 96:[30, 24, 3, 26], Operations: [] Exploring Operation: 30-24=6, Resulting Numbers: [3, 26, 6] Generated Node #2: [3, 26, 6] from Operation: 30-24=6 Current State: 96:[3, 26, 6], Operations: ['30-24=6'] Exploring Operation: 26+6=32, Resulting Numbers: [3, 32] Generated Node #3: [3, 32] from Operation: 26+6=32 Current State: 96:[3, 32], Operations: ['30-24=6', '26+6=32'] Exploring Operation: 3*32=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 69, 30, 88, 38 ]
87
[ "69-30=39", "88+38=126", "126-39=87" ]
Current State: 87:[69, 30, 88, 38], Operations: [] Exploring Operation: 69-30=39, Resulting Numbers: [88, 38, 39] Generated Node #2: [88, 38, 39] from Operation: 69-30=39 Current State: 87:[88, 38, 39], Operations: ['69-30=39'] Exploring Operation: 88+38=126, Resulting Numbers: [39, 126] Generated Node #3: [39, 126] from Operation: 88+38=126 Current State: 87:[39, 126], Operations: ['69-30=39', '88+38=126'] Exploring Operation: 126-39=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 2, 6, 76, 64 ]
92
[ "6-2=4", "64/4=16", "76+16=92" ]
Current State: 92:[2, 6, 76, 64], Operations: [] Exploring Operation: 6-2=4, Resulting Numbers: [76, 64, 4] Generated Node #2: [76, 64, 4] from Operation: 6-2=4 Current State: 92:[76, 64, 4], Operations: ['6-2=4'] Exploring Operation: 64/4=16, Resulting Numbers: [76, 16] Generated Node #3: [76, 16] from Operation: 64/4=16 Current State: 92:[76, 16], Operations: ['6-2=4', '64/4=16'] Exploring Operation: 76+16=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 38, 32, 35, 95 ]
10
[ "38+32=70", "95-35=60", "70-60=10" ]
Current State: 10:[38, 32, 35, 95], Operations: [] Exploring Operation: 38+32=70, Resulting Numbers: [35, 95, 70] Generated Node #2: [35, 95, 70] from Operation: 38+32=70 Current State: 10:[35, 95, 70], Operations: ['38+32=70'] Exploring Operation: 95-35=60, Resulting Numbers: [70, 60] Generated Node #3: [70, 60] from Operation: 95-35=60 Current State: 10:[70, 60], Operations: ['38+32=70', '95-35=60'] Exploring Operation: 70-60=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 34, 56, 70, 9 ]
14
[ "70-34=36", "56*9=504", "504/36=14" ]
Current State: 14:[34, 56, 70, 9], Operations: [] Exploring Operation: 70-34=36, Resulting Numbers: [56, 9, 36] Generated Node #2: [56, 9, 36] from Operation: 70-34=36 Current State: 14:[56, 9, 36], Operations: ['70-34=36'] Exploring Operation: 56*9=504, Resulting Numbers: [36, 504] Generated Node #3: [36, 504] from Operation: 56*9=504 Current State: 14:[36, 504], Operations: ['70-34=36', '56*9=504'] Exploring Operation: 504/36=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 15, 48, 20, 55 ]
91
[ "15*48=720", "720/20=36", "55+36=91" ]
Current State: 91:[15, 48, 20, 55], Operations: [] Exploring Operation: 15*48=720, Resulting Numbers: [20, 55, 720] Generated Node #2: [20, 55, 720] from Operation: 15*48=720 Current State: 91:[20, 55, 720], Operations: ['15*48=720'] Exploring Operation: 720/20=36, Resulting Numbers: [55, 36] Generated Node #3: [55, 36] from Operation: 720/20=36 Current State: 91:[55, 36], Operations: ['15*48=720', '720/20=36'] Exploring Operation: 55+36=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 2, 94, 48, 40 ]
41
[ "94/2=47", "48+40=88", "88-47=41" ]
Current State: 41:[2, 94, 48, 40], Operations: [] Exploring Operation: 94/2=47, Resulting Numbers: [48, 40, 47] Generated Node #2: [48, 40, 47] from Operation: 94/2=47 Current State: 41:[48, 40, 47], Operations: ['94/2=47'] Exploring Operation: 48+40=88, Resulting Numbers: [47, 88] Generated Node #3: [47, 88] from Operation: 48+40=88 Current State: 41:[47, 88], Operations: ['94/2=47', '48+40=88'] Exploring Operation: 88-47=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 67, 11, 26, 49 ]
19
[ "67-11=56", "26+49=75", "75-56=19" ]
Current State: 19:[67, 11, 26, 49], Operations: [] Exploring Operation: 67-11=56, Resulting Numbers: [26, 49, 56] Generated Node #2: [26, 49, 56] from Operation: 67-11=56 Current State: 19:[26, 49, 56], Operations: ['67-11=56'] Exploring Operation: 26+49=75, Resulting Numbers: [56, 75] Generated Node #3: [56, 75] from Operation: 26+49=75 Current State: 19:[56, 75], Operations: ['67-11=56', '26+49=75'] Exploring Operation: 75-56=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 38, 10, 47, 1 ]
99
[ "47-38=9", "10+1=11", "9*11=99" ]
Current State: 99:[38, 10, 47, 1], Operations: [] Exploring Operation: 47-38=9, Resulting Numbers: [10, 1, 9] Generated Node #2: [10, 1, 9] from Operation: 47-38=9 Current State: 99:[10, 1, 9], Operations: ['47-38=9'] Exploring Operation: 10+1=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 10+1=11 Current State: 99:[9, 11], Operations: ['47-38=9', '10+1=11'] Exploring Operation: 9*11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 93, 27, 10, 92 ]
36
[ "93-27=66", "10+92=102", "102-66=36" ]
Current State: 36:[93, 27, 10, 92], Operations: [] Exploring Operation: 93-27=66, Resulting Numbers: [10, 92, 66] Generated Node #2: [10, 92, 66] from Operation: 93-27=66 Current State: 36:[10, 92, 66], Operations: ['93-27=66'] Exploring Operation: 10+92=102, Resulting Numbers: [66, 102] Generated Node #3: [66, 102] from Operation: 10+92=102 Current State: 36:[66, 102], Operations: ['93-27=66', '10+92=102'] Exploring Operation: 102-66=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 46, 72, 39, 98 ]
59
[ "46+72=118", "98-39=59", "118-59=59" ]
Current State: 59:[46, 72, 39, 98], Operations: [] Exploring Operation: 46+72=118, Resulting Numbers: [39, 98, 118] Generated Node #2: [39, 98, 118] from Operation: 46+72=118 Current State: 59:[39, 98, 118], Operations: ['46+72=118'] Exploring Operation: 98-39=59, Resulting Numbers: [118, 59] Generated Node #3: [118, 59] from Operation: 98-39=59 Current State: 59:[118, 59], Operations: ['46+72=118', '98-39=59'] Exploring Operation: 118-59=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 43, 71, 85, 37 ]
66
[ "43+71=114", "85-37=48", "114-48=66" ]
Current State: 66:[43, 71, 85, 37], Operations: [] Exploring Operation: 43+71=114, Resulting Numbers: [85, 37, 114] Generated Node #2: [85, 37, 114] from Operation: 43+71=114 Current State: 66:[85, 37, 114], Operations: ['43+71=114'] Exploring Operation: 85-37=48, Resulting Numbers: [114, 48] Generated Node #3: [114, 48] from Operation: 85-37=48 Current State: 66:[114, 48], Operations: ['43+71=114', '85-37=48'] Exploring Operation: 114-48=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 16, 41, 90, 45 ]
73
[ "16*90=1440", "1440/45=32", "41+32=73" ]
Current State: 73:[16, 41, 90, 45], Operations: [] Exploring Operation: 16*90=1440, Resulting Numbers: [41, 45, 1440] Generated Node #2: [41, 45, 1440] from Operation: 16*90=1440 Current State: 73:[41, 45, 1440], Operations: ['16*90=1440'] Exploring Operation: 1440/45=32, Resulting Numbers: [41, 32] Generated Node #3: [41, 32] from Operation: 1440/45=32 Current State: 73:[41, 32], Operations: ['16*90=1440', '1440/45=32'] Exploring Operation: 41+32=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 16, 11, 45, 40 ]
85
[ "45-11=34", "40*34=1360", "1360/16=85" ]
Current State: 85:[16, 11, 45, 40], Operations: [] Exploring Operation: 45-11=34, Resulting Numbers: [16, 40, 34] Generated Node #2: [16, 40, 34] from Operation: 45-11=34 Current State: 85:[16, 40, 34], Operations: ['45-11=34'] Exploring Operation: 40*34=1360, Resulting Numbers: [16, 1360] Generated Node #3: [16, 1360] from Operation: 40*34=1360 Current State: 85:[16, 1360], Operations: ['45-11=34', '40*34=1360'] Exploring Operation: 1360/16=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 40, 59, 50, 72 ]
77
[ "40+59=99", "72-50=22", "99-22=77" ]
Current State: 77:[40, 59, 50, 72], Operations: [] Exploring Operation: 40+59=99, Resulting Numbers: [50, 72, 99] Generated Node #2: [50, 72, 99] from Operation: 40+59=99 Current State: 77:[50, 72, 99], Operations: ['40+59=99'] Exploring Operation: 72-50=22, Resulting Numbers: [99, 22] Generated Node #3: [99, 22] from Operation: 72-50=22 Current State: 77:[99, 22], Operations: ['40+59=99', '72-50=22'] Exploring Operation: 99-22=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 64, 87, 5, 71 ]
75
[ "64+87=151", "5+71=76", "151-76=75" ]
Current State: 75:[64, 87, 5, 71], Operations: [] Exploring Operation: 64+87=151, Resulting Numbers: [5, 71, 151] Generated Node #2: [5, 71, 151] from Operation: 64+87=151 Current State: 75:[5, 71, 151], Operations: ['64+87=151'] Exploring Operation: 5+71=76, Resulting Numbers: [151, 76] Generated Node #3: [151, 76] from Operation: 5+71=76 Current State: 75:[151, 76], Operations: ['64+87=151', '5+71=76'] Exploring Operation: 151-76=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 44, 66, 31, 75 ]
84
[ "66-44=22", "31+75=106", "106-22=84" ]
Current State: 84:[44, 66, 31, 75], Operations: [] Exploring Operation: 66-44=22, Resulting Numbers: [31, 75, 22] Generated Node #2: [31, 75, 22] from Operation: 66-44=22 Current State: 84:[31, 75, 22], Operations: ['66-44=22'] Exploring Operation: 31+75=106, Resulting Numbers: [22, 106] Generated Node #3: [22, 106] from Operation: 31+75=106 Current State: 84:[22, 106], Operations: ['66-44=22', '31+75=106'] Exploring Operation: 106-22=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 35, 13, 82, 55 ]
89
[ "35+13=48", "82+55=137", "137-48=89" ]
Current State: 89:[35, 13, 82, 55], Operations: [] Exploring Operation: 35+13=48, Resulting Numbers: [82, 55, 48] Generated Node #2: [82, 55, 48] from Operation: 35+13=48 Current State: 89:[82, 55, 48], Operations: ['35+13=48'] Exploring Operation: 82+55=137, Resulting Numbers: [48, 137] Generated Node #3: [48, 137] from Operation: 82+55=137 Current State: 89:[48, 137], Operations: ['35+13=48', '82+55=137'] Exploring Operation: 137-48=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 10, 42, 31, 25 ]
23
[ "31-10=21", "42/21=2", "25-2=23" ]
Current State: 23:[10, 42, 31, 25], Operations: [] Exploring Operation: 31-10=21, Resulting Numbers: [42, 25, 21] Generated Node #2: [42, 25, 21] from Operation: 31-10=21 Current State: 23:[42, 25, 21], Operations: ['31-10=21'] Exploring Operation: 42/21=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 42/21=2 Current State: 23:[25, 2], Operations: ['31-10=21', '42/21=2'] Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 15, 15, 70, 3 ]
70
[ "15-15=0", "3*0=0", "70+0=70" ]
Current State: 70:[15, 15, 70, 3], Operations: [] Exploring Operation: 15-15=0, Resulting Numbers: [70, 3, 0] Generated Node #2: [70, 3, 0] from Operation: 15-15=0 Current State: 70:[70, 3, 0], Operations: ['15-15=0'] Exploring Operation: 3*0=0, Resulting Numbers: [70, 0] Generated Node #3: [70, 0] from Operation: 3*0=0 Current State: 70:[70, 0], Operations: ['15-15=0', '3*0=0'] Exploring Operation: 70+0=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 57, 88, 35, 24 ]
86
[ "57+88=145", "35+24=59", "145-59=86" ]
Current State: 86:[57, 88, 35, 24], Operations: [] Exploring Operation: 57+88=145, Resulting Numbers: [35, 24, 145] Generated Node #2: [35, 24, 145] from Operation: 57+88=145 Current State: 86:[35, 24, 145], Operations: ['57+88=145'] Exploring Operation: 35+24=59, Resulting Numbers: [145, 59] Generated Node #3: [145, 59] from Operation: 35+24=59 Current State: 86:[145, 59], Operations: ['57+88=145', '35+24=59'] Exploring Operation: 145-59=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 17, 86, 52, 40 ]
91
[ "17+86=103", "52-40=12", "103-12=91" ]
Current State: 91:[17, 86, 52, 40], Operations: [] Exploring Operation: 17+86=103, Resulting Numbers: [52, 40, 103] Generated Node #2: [52, 40, 103] from Operation: 17+86=103 Current State: 91:[52, 40, 103], Operations: ['17+86=103'] Exploring Operation: 52-40=12, Resulting Numbers: [103, 12] Generated Node #3: [103, 12] from Operation: 52-40=12 Current State: 91:[103, 12], Operations: ['17+86=103', '52-40=12'] Exploring Operation: 103-12=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 11, 30, 29, 84 ]
35
[ "84-29=55", "55/11=5", "30+5=35" ]
Current State: 35:[11, 30, 29, 84], Operations: [] Exploring Operation: 84-29=55, Resulting Numbers: [11, 30, 55] Generated Node #2: [11, 30, 55] from Operation: 84-29=55 Current State: 35:[11, 30, 55], Operations: ['84-29=55'] Exploring Operation: 55/11=5, Resulting Numbers: [30, 5] Generated Node #3: [30, 5] from Operation: 55/11=5 Current State: 35:[30, 5], Operations: ['84-29=55', '55/11=5'] Exploring Operation: 30+5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 56, 47, 82, 85 ]
46
[ "47*82=3854", "56+3854=3910", "3910/85=46" ]
Current State: 46:[56, 47, 82, 85], Operations: [] Exploring Operation: 47*82=3854, Resulting Numbers: [56, 85, 3854] Generated Node #2: [56, 85, 3854] from Operation: 47*82=3854 Current State: 46:[56, 85, 3854], Operations: ['47*82=3854'] Exploring Operation: 56+3854=3910, Resulting Numbers: [85, 3910] Generated Node #3: [85, 3910] from Operation: 56+3854=3910 Current State: 46:[85, 3910], Operations: ['47*82=3854', '56+3854=3910'] Exploring Operation: 3910/85=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 99, 74, 56, 63 ]
18
[ "99-74=25", "63-56=7", "25-7=18" ]
Current State: 18:[99, 74, 56, 63], Operations: [] Exploring Operation: 99-74=25, Resulting Numbers: [56, 63, 25] Generated Node #2: [56, 63, 25] from Operation: 99-74=25 Current State: 18:[56, 63, 25], Operations: ['99-74=25'] Exploring Operation: 63-56=7, Resulting Numbers: [25, 7] Generated Node #3: [25, 7] from Operation: 63-56=7 Current State: 18:[25, 7], Operations: ['99-74=25', '63-56=7'] Exploring Operation: 25-7=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 46, 55, 65, 25 ]
97
[ "55*65=3575", "3575/25=143", "143-46=97" ]
Current State: 97:[46, 55, 65, 25], Operations: [] Exploring Operation: 55*65=3575, Resulting Numbers: [46, 25, 3575] Generated Node #2: [46, 25, 3575] from Operation: 55*65=3575 Current State: 97:[46, 25, 3575], Operations: ['55*65=3575'] Exploring Operation: 3575/25=143, Resulting Numbers: [46, 143] Generated Node #3: [46, 143] from Operation: 3575/25=143 Current State: 97:[46, 143], Operations: ['55*65=3575', '3575/25=143'] Exploring Operation: 143-46=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 19, 98, 41, 4 ]
30
[ "98-19=79", "41+79=120", "120/4=30" ]
Current State: 30:[19, 98, 41, 4], Operations: [] Exploring Operation: 98-19=79, Resulting Numbers: [41, 4, 79] Generated Node #2: [41, 4, 79] from Operation: 98-19=79 Current State: 30:[41, 4, 79], Operations: ['98-19=79'] Exploring Operation: 41+79=120, Resulting Numbers: [4, 120] Generated Node #3: [4, 120] from Operation: 41+79=120 Current State: 30:[4, 120], Operations: ['98-19=79', '41+79=120'] Exploring Operation: 120/4=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 77, 2, 11, 53 ]
90
[ "77*2=154", "11+53=64", "154-64=90" ]
Current State: 90:[77, 2, 11, 53], Operations: [] Exploring Operation: 77*2=154, Resulting Numbers: [11, 53, 154] Generated Node #2: [11, 53, 154] from Operation: 77*2=154 Current State: 90:[11, 53, 154], Operations: ['77*2=154'] Exploring Operation: 11+53=64, Resulting Numbers: [154, 64] Generated Node #3: [154, 64] from Operation: 11+53=64 Current State: 90:[154, 64], Operations: ['77*2=154', '11+53=64'] Exploring Operation: 154-64=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 63, 22, 74, 26 ]
59
[ "63-22=41", "74+26=100", "100-41=59" ]
Current State: 59:[63, 22, 74, 26], Operations: [] Exploring Operation: 63-22=41, Resulting Numbers: [74, 26, 41] Generated Node #2: [74, 26, 41] from Operation: 63-22=41 Current State: 59:[74, 26, 41], Operations: ['63-22=41'] Exploring Operation: 74+26=100, Resulting Numbers: [41, 100] Generated Node #3: [41, 100] from Operation: 74+26=100 Current State: 59:[41, 100], Operations: ['63-22=41', '74+26=100'] Exploring Operation: 100-41=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 31, 50, 76, 8 ]
65
[ "50-31=19", "76+8=84", "84-19=65" ]
Current State: 65:[31, 50, 76, 8], Operations: [] Exploring Operation: 50-31=19, Resulting Numbers: [76, 8, 19] Generated Node #2: [76, 8, 19] from Operation: 50-31=19 Current State: 65:[76, 8, 19], Operations: ['50-31=19'] Exploring Operation: 76+8=84, Resulting Numbers: [19, 84] Generated Node #3: [19, 84] from Operation: 76+8=84 Current State: 65:[19, 84], Operations: ['50-31=19', '76+8=84'] Exploring Operation: 84-19=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 7, 19, 61, 49 ]
95
[ "61-7=54", "54-49=5", "19*5=95" ]
Current State: 95:[7, 19, 61, 49], Operations: [] Exploring Operation: 61-7=54, Resulting Numbers: [19, 49, 54] Generated Node #2: [19, 49, 54] from Operation: 61-7=54 Current State: 95:[19, 49, 54], Operations: ['61-7=54'] Exploring Operation: 54-49=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 54-49=5 Current State: 95:[19, 5], Operations: ['61-7=54', '54-49=5'] Exploring Operation: 19*5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 92, 95, 97, 20 ]
37
[ "95-92=3", "20*3=60", "97-60=37" ]
Current State: 37:[92, 95, 97, 20], Operations: [] Exploring Operation: 95-92=3, Resulting Numbers: [97, 20, 3] Generated Node #2: [97, 20, 3] from Operation: 95-92=3 Current State: 37:[97, 20, 3], Operations: ['95-92=3'] Exploring Operation: 20*3=60, Resulting Numbers: [97, 60] Generated Node #3: [97, 60] from Operation: 20*3=60 Current State: 37:[97, 60], Operations: ['95-92=3', '20*3=60'] Exploring Operation: 97-60=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 63, 87, 29, 28 ]
38
[ "63-28=35", "87/29=3", "35+3=38" ]
Current State: 38:[63, 87, 29, 28], Operations: [] Exploring Operation: 63-28=35, Resulting Numbers: [87, 29, 35] Generated Node #2: [87, 29, 35] from Operation: 63-28=35 Current State: 38:[87, 29, 35], Operations: ['63-28=35'] Exploring Operation: 87/29=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 87/29=3 Current State: 38:[35, 3], Operations: ['63-28=35', '87/29=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 88, 27, 72, 89 ]
100
[ "88-27=61", "72+89=161", "161-61=100" ]
Current State: 100:[88, 27, 72, 89], Operations: [] Exploring Operation: 88-27=61, Resulting Numbers: [72, 89, 61] Generated Node #2: [72, 89, 61] from Operation: 88-27=61 Current State: 100:[72, 89, 61], Operations: ['88-27=61'] Exploring Operation: 72+89=161, Resulting Numbers: [61, 161] Generated Node #3: [61, 161] from Operation: 72+89=161 Current State: 100:[61, 161], Operations: ['88-27=61', '72+89=161'] Exploring Operation: 161-61=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 83, 85, 66, 86 ]
57
[ "86-83=3", "85-66=19", "3*19=57" ]
Current State: 57:[83, 85, 66, 86], Operations: [] Exploring Operation: 86-83=3, Resulting Numbers: [85, 66, 3] Generated Node #2: [85, 66, 3] from Operation: 86-83=3 Current State: 57:[85, 66, 3], Operations: ['86-83=3'] Exploring Operation: 85-66=19, Resulting Numbers: [3, 19] Generated Node #3: [3, 19] from Operation: 85-66=19 Current State: 57:[3, 19], Operations: ['86-83=3', '85-66=19'] Exploring Operation: 3*19=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 1, 2, 37, 82 ]
43
[ "1*2=2", "82-37=45", "45-2=43" ]
Current State: 43:[1, 2, 37, 82], Operations: [] Exploring Operation: 1*2=2, Resulting Numbers: [37, 82, 2] Generated Node #2: [37, 82, 2] from Operation: 1*2=2 Current State: 43:[37, 82, 2], Operations: ['1*2=2'] Exploring Operation: 82-37=45, Resulting Numbers: [2, 45] Generated Node #3: [2, 45] from Operation: 82-37=45 Current State: 43:[2, 45], Operations: ['1*2=2', '82-37=45'] Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 55, 88, 15, 93 ]
69
[ "88*15=1320", "1320/55=24", "93-24=69" ]
Current State: 69:[55, 88, 15, 93], Operations: [] Exploring Operation: 88*15=1320, Resulting Numbers: [55, 93, 1320] Generated Node #2: [55, 93, 1320] from Operation: 88*15=1320 Current State: 69:[55, 93, 1320], Operations: ['88*15=1320'] Exploring Operation: 1320/55=24, Resulting Numbers: [93, 24] Generated Node #3: [93, 24] from Operation: 1320/55=24 Current State: 69:[93, 24], Operations: ['88*15=1320', '1320/55=24'] Exploring Operation: 93-24=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 40, 15, 58, 19 ]
22
[ "40+15=55", "58+19=77", "77-55=22" ]
Current State: 22:[40, 15, 58, 19], Operations: [] Exploring Operation: 40+15=55, Resulting Numbers: [58, 19, 55] Generated Node #2: [58, 19, 55] from Operation: 40+15=55 Current State: 22:[58, 19, 55], Operations: ['40+15=55'] Exploring Operation: 58+19=77, Resulting Numbers: [55, 77] Generated Node #3: [55, 77] from Operation: 58+19=77 Current State: 22:[55, 77], Operations: ['40+15=55', '58+19=77'] Exploring Operation: 77-55=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 55, 12, 77, 45 ]
43
[ "55-45=10", "12*10=120", "120-77=43" ]
Current State: 43:[55, 12, 77, 45], Operations: [] Exploring Operation: 55-45=10, Resulting Numbers: [12, 77, 10] Generated Node #2: [12, 77, 10] from Operation: 55-45=10 Current State: 43:[12, 77, 10], Operations: ['55-45=10'] Exploring Operation: 12*10=120, Resulting Numbers: [77, 120] Generated Node #3: [77, 120] from Operation: 12*10=120 Current State: 43:[77, 120], Operations: ['55-45=10', '12*10=120'] Exploring Operation: 120-77=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 3, 61, 36, 4 ]
71
[ "36-3=33", "4*33=132", "132-61=71" ]
Current State: 71:[3, 61, 36, 4], Operations: [] Exploring Operation: 36-3=33, Resulting Numbers: [61, 4, 33] Generated Node #2: [61, 4, 33] from Operation: 36-3=33 Current State: 71:[61, 4, 33], Operations: ['36-3=33'] Exploring Operation: 4*33=132, Resulting Numbers: [61, 132] Generated Node #3: [61, 132] from Operation: 4*33=132 Current State: 71:[61, 132], Operations: ['36-3=33', '4*33=132'] Exploring Operation: 132-61=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 22, 92, 48, 91 ]
64
[ "91-22=69", "92*48=4416", "4416/69=64" ]
Current State: 64:[22, 92, 48, 91], Operations: [] Exploring Operation: 91-22=69, Resulting Numbers: [92, 48, 69] Generated Node #2: [92, 48, 69] from Operation: 91-22=69 Current State: 64:[92, 48, 69], Operations: ['91-22=69'] Exploring Operation: 92*48=4416, Resulting Numbers: [69, 4416] Generated Node #3: [69, 4416] from Operation: 92*48=4416 Current State: 64:[69, 4416], Operations: ['91-22=69', '92*48=4416'] Exploring Operation: 4416/69=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 56, 59, 39, 25 ]
92
[ "59-56=3", "39*3=117", "117-25=92" ]
Current State: 92:[56, 59, 39, 25], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [39, 25, 3] Generated Node #2: [39, 25, 3] from Operation: 59-56=3 Current State: 92:[39, 25, 3], Operations: ['59-56=3'] Exploring Operation: 39*3=117, Resulting Numbers: [25, 117] Generated Node #3: [25, 117] from Operation: 39*3=117 Current State: 92:[25, 117], Operations: ['59-56=3', '39*3=117'] Exploring Operation: 117-25=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 24, 15, 7, 45 ]
12
[ "24+15=39", "45+39=84", "84/7=12" ]
Current State: 12:[24, 15, 7, 45], Operations: [] Exploring Operation: 24+15=39, Resulting Numbers: [7, 45, 39] Generated Node #2: [7, 45, 39] from Operation: 24+15=39 Current State: 12:[7, 45, 39], Operations: ['24+15=39'] Exploring Operation: 45+39=84, Resulting Numbers: [7, 84] Generated Node #3: [7, 84] from Operation: 45+39=84 Current State: 12:[7, 84], Operations: ['24+15=39', '45+39=84'] Exploring Operation: 84/7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 72, 4, 18, 78 ]
94
[ "72*4=288", "288/18=16", "78+16=94" ]
Current State: 94:[72, 4, 18, 78], Operations: [] Exploring Operation: 72*4=288, Resulting Numbers: [18, 78, 288] Generated Node #2: [18, 78, 288] from Operation: 72*4=288 Current State: 94:[18, 78, 288], Operations: ['72*4=288'] Exploring Operation: 288/18=16, Resulting Numbers: [78, 16] Generated Node #3: [78, 16] from Operation: 288/18=16 Current State: 94:[78, 16], Operations: ['72*4=288', '288/18=16'] Exploring Operation: 78+16=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 86, 58, 92, 7 ]
96
[ "86-58=28", "28/7=4", "92+4=96" ]
Current State: 96:[86, 58, 92, 7], Operations: [] Exploring Operation: 86-58=28, Resulting Numbers: [92, 7, 28] Generated Node #2: [92, 7, 28] from Operation: 86-58=28 Current State: 96:[92, 7, 28], Operations: ['86-58=28'] Exploring Operation: 28/7=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation: 28/7=4 Current State: 96:[92, 4], Operations: ['86-58=28', '28/7=4'] Exploring Operation: 92+4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 80, 8, 22, 16 ]
100
[ "80+22=102", "16/8=2", "102-2=100" ]
Current State: 100:[80, 8, 22, 16], Operations: [] Exploring Operation: 80+22=102, Resulting Numbers: [8, 16, 102] Generated Node #2: [8, 16, 102] from Operation: 80+22=102 Current State: 100:[8, 16, 102], Operations: ['80+22=102'] Exploring Operation: 16/8=2, Resulting Numbers: [102, 2] Generated Node #3: [102, 2] from Operation: 16/8=2 Current State: 100:[102, 2], Operations: ['80+22=102', '16/8=2'] Exploring Operation: 102-2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 8, 18, 94, 87 ]
17
[ "18-8=10", "94-87=7", "10+7=17" ]
Current State: 17:[8, 18, 94, 87], Operations: [] Exploring Operation: 18-8=10, Resulting Numbers: [94, 87, 10] Generated Node #2: [94, 87, 10] from Operation: 18-8=10 Current State: 17:[94, 87, 10], Operations: ['18-8=10'] Exploring Operation: 94-87=7, Resulting Numbers: [10, 7] Generated Node #3: [10, 7] from Operation: 94-87=7 Current State: 17:[10, 7], Operations: ['18-8=10', '94-87=7'] Exploring Operation: 10+7=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 27, 67, 47, 40 ]
87
[ "27+67=94", "47-40=7", "94-7=87" ]
Current State: 87:[27, 67, 47, 40], Operations: [] Exploring Operation: 27+67=94, Resulting Numbers: [47, 40, 94] Generated Node #2: [47, 40, 94] from Operation: 27+67=94 Current State: 87:[47, 40, 94], Operations: ['27+67=94'] Exploring Operation: 47-40=7, Resulting Numbers: [94, 7] Generated Node #3: [94, 7] from Operation: 47-40=7 Current State: 87:[94, 7], Operations: ['27+67=94', '47-40=7'] Exploring Operation: 94-7=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 59, 56, 41, 31 ]
92
[ "59-56=3", "41*3=123", "123-31=92" ]
Current State: 92:[59, 56, 41, 31], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [41, 31, 3] Generated Node #2: [41, 31, 3] from Operation: 59-56=3 Current State: 92:[41, 31, 3], Operations: ['59-56=3'] Exploring Operation: 41*3=123, Resulting Numbers: [31, 123] Generated Node #3: [31, 123] from Operation: 41*3=123 Current State: 92:[31, 123], Operations: ['59-56=3', '41*3=123'] Exploring Operation: 123-31=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 40, 42, 6, 80 ]
83
[ "42-40=2", "6/2=3", "80+3=83" ]
Current State: 83:[40, 42, 6, 80], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [6, 80, 2] Generated Node #2: [6, 80, 2] from Operation: 42-40=2 Current State: 83:[6, 80, 2], Operations: ['42-40=2'] Exploring Operation: 6/2=3, Resulting Numbers: [80, 3] Generated Node #3: [80, 3] from Operation: 6/2=3 Current State: 83:[80, 3], Operations: ['42-40=2', '6/2=3'] Exploring Operation: 80+3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 13, 97, 29, 8 ]
48
[ "13-8=5", "29*5=145", "145-97=48" ]
Current State: 48:[13, 97, 29, 8], Operations: [] Exploring Operation: 13-8=5, Resulting Numbers: [97, 29, 5] Generated Node #2: [97, 29, 5] from Operation: 13-8=5 Current State: 48:[97, 29, 5], Operations: ['13-8=5'] Exploring Operation: 29*5=145, Resulting Numbers: [97, 145] Generated Node #3: [97, 145] from Operation: 29*5=145 Current State: 48:[97, 145], Operations: ['13-8=5', '29*5=145'] Exploring Operation: 145-97=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 21, 27, 24, 51 ]
75
[ "21+27=48", "51-24=27", "48+27=75" ]
Current State: 75:[21, 27, 24, 51], Operations: [] Exploring Operation: 21+27=48, Resulting Numbers: [24, 51, 48] Generated Node #2: [24, 51, 48] from Operation: 21+27=48 Current State: 75:[24, 51, 48], Operations: ['21+27=48'] Exploring Operation: 51-24=27, Resulting Numbers: [48, 27] Generated Node #3: [48, 27] from Operation: 51-24=27 Current State: 75:[48, 27], Operations: ['21+27=48', '51-24=27'] Exploring Operation: 48+27=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 13, 26, 33, 4 ]
25
[ "26/13=2", "4*2=8", "33-8=25" ]
Current State: 25:[13, 26, 33, 4], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [33, 4, 2] Generated Node #2: [33, 4, 2] from Operation: 26/13=2 Current State: 25:[33, 4, 2], Operations: ['26/13=2'] Exploring Operation: 4*2=8, Resulting Numbers: [33, 8] Generated Node #3: [33, 8] from Operation: 4*2=8 Current State: 25:[33, 8], Operations: ['26/13=2', '4*2=8'] Exploring Operation: 33-8=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 9, 54, 99, 85 ]
63
[ "54*99=5346", "9+5346=5355", "5355/85=63" ]
Current State: 63:[9, 54, 99, 85], Operations: [] Exploring Operation: 54*99=5346, Resulting Numbers: [9, 85, 5346] Generated Node #2: [9, 85, 5346] from Operation: 54*99=5346 Current State: 63:[9, 85, 5346], Operations: ['54*99=5346'] Exploring Operation: 9+5346=5355, Resulting Numbers: [85, 5355] Generated Node #3: [85, 5355] from Operation: 9+5346=5355 Current State: 63:[85, 5355], Operations: ['54*99=5346', '9+5346=5355'] Exploring Operation: 5355/85=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 5, 11, 45, 79 ]
59
[ "45/5=9", "79-11=68", "68-9=59" ]
Current State: 59:[5, 11, 45, 79], Operations: [] Exploring Operation: 45/5=9, Resulting Numbers: [11, 79, 9] Generated Node #2: [11, 79, 9] from Operation: 45/5=9 Current State: 59:[11, 79, 9], Operations: ['45/5=9'] Exploring Operation: 79-11=68, Resulting Numbers: [9, 68] Generated Node #3: [9, 68] from Operation: 79-11=68 Current State: 59:[9, 68], Operations: ['45/5=9', '79-11=68'] Exploring Operation: 68-9=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 13, 23, 17, 61 ]
42
[ "13+23=36", "17+61=78", "78-36=42" ]
Current State: 42:[13, 23, 17, 61], Operations: [] Exploring Operation: 13+23=36, Resulting Numbers: [17, 61, 36] Generated Node #2: [17, 61, 36] from Operation: 13+23=36 Current State: 42:[17, 61, 36], Operations: ['13+23=36'] Exploring Operation: 17+61=78, Resulting Numbers: [36, 78] Generated Node #3: [36, 78] from Operation: 17+61=78 Current State: 42:[36, 78], Operations: ['13+23=36', '17+61=78'] Exploring Operation: 78-36=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 29, 59, 26, 5 ]
12
[ "59+26=85", "85/5=17", "29-17=12" ]
Current State: 12:[29, 59, 26, 5], Operations: [] Exploring Operation: 59+26=85, Resulting Numbers: [29, 5, 85] Generated Node #2: [29, 5, 85] from Operation: 59+26=85 Current State: 12:[29, 5, 85], Operations: ['59+26=85'] Exploring Operation: 85/5=17, Resulting Numbers: [29, 17] Generated Node #3: [29, 17] from Operation: 85/5=17 Current State: 12:[29, 17], Operations: ['59+26=85', '85/5=17'] Exploring Operation: 29-17=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 85, 80, 79, 32 ]
52
[ "85-80=5", "79-32=47", "5+47=52" ]
Current State: 52:[85, 80, 79, 32], Operations: [] Exploring Operation: 85-80=5, Resulting Numbers: [79, 32, 5] Generated Node #2: [79, 32, 5] from Operation: 85-80=5 Current State: 52:[79, 32, 5], Operations: ['85-80=5'] Exploring Operation: 79-32=47, Resulting Numbers: [5, 47] Generated Node #3: [5, 47] from Operation: 79-32=47 Current State: 52:[5, 47], Operations: ['85-80=5', '79-32=47'] Exploring Operation: 5+47=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 22, 72, 26, 23 ]
20
[ "26-22=4", "23*4=92", "92-72=20" ]
Current State: 20:[22, 72, 26, 23], Operations: [] Exploring Operation: 26-22=4, Resulting Numbers: [72, 23, 4] Generated Node #2: [72, 23, 4] from Operation: 26-22=4 Current State: 20:[72, 23, 4], Operations: ['26-22=4'] Exploring Operation: 23*4=92, Resulting Numbers: [72, 92] Generated Node #3: [72, 92] from Operation: 23*4=92 Current State: 20:[72, 92], Operations: ['26-22=4', '23*4=92'] Exploring Operation: 92-72=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 12, 3, 34, 67 ]
47
[ "67-12=55", "3*34=102", "102-55=47" ]
Current State: 47:[12, 3, 34, 67], Operations: [] Exploring Operation: 67-12=55, Resulting Numbers: [3, 34, 55] Generated Node #2: [3, 34, 55] from Operation: 67-12=55 Current State: 47:[3, 34, 55], Operations: ['67-12=55'] Exploring Operation: 3*34=102, Resulting Numbers: [55, 102] Generated Node #3: [55, 102] from Operation: 3*34=102 Current State: 47:[55, 102], Operations: ['67-12=55', '3*34=102'] Exploring Operation: 102-55=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 27, 83, 83, 51 ]
23
[ "51-27=24", "83/83=1", "24-1=23" ]
Current State: 23:[27, 83, 83, 51], Operations: [] Exploring Operation: 51-27=24, Resulting Numbers: [83, 83, 24] Generated Node #2: [83, 83, 24] from Operation: 51-27=24 Current State: 23:[83, 83, 24], Operations: ['51-27=24'] Exploring Operation: 83/83=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 83/83=1 Current State: 23:[24, 1], Operations: ['51-27=24', '83/83=1'] Exploring Operation: 24-1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 26, 61, 48, 77 ]
79
[ "61-48=13", "26/13=2", "77+2=79" ]
Current State: 79:[26, 61, 48, 77], Operations: [] Exploring Operation: 61-48=13, Resulting Numbers: [26, 77, 13] Generated Node #2: [26, 77, 13] from Operation: 61-48=13 Current State: 79:[26, 77, 13], Operations: ['61-48=13'] Exploring Operation: 26/13=2, Resulting Numbers: [77, 2] Generated Node #3: [77, 2] from Operation: 26/13=2 Current State: 79:[77, 2], Operations: ['61-48=13', '26/13=2'] Exploring Operation: 77+2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 91, 67, 16, 37 ]
14
[ "91*16=1456", "67+37=104", "1456/104=14" ]
Current State: 14:[91, 67, 16, 37], Operations: [] Exploring Operation: 91*16=1456, Resulting Numbers: [67, 37, 1456] Generated Node #2: [67, 37, 1456] from Operation: 91*16=1456 Current State: 14:[67, 37, 1456], Operations: ['91*16=1456'] Exploring Operation: 67+37=104, Resulting Numbers: [1456, 104] Generated Node #3: [1456, 104] from Operation: 67+37=104 Current State: 14:[1456, 104], Operations: ['91*16=1456', '67+37=104'] Exploring Operation: 1456/104=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 29, 77, 14, 43 ]
77
[ "29+77=106", "43-14=29", "106-29=77" ]
Current State: 77:[29, 77, 14, 43], Operations: [] Exploring Operation: 29+77=106, Resulting Numbers: [14, 43, 106] Generated Node #2: [14, 43, 106] from Operation: 29+77=106 Current State: 77:[14, 43, 106], Operations: ['29+77=106'] Exploring Operation: 43-14=29, Resulting Numbers: [106, 29] Generated Node #3: [106, 29] from Operation: 43-14=29 Current State: 77:[106, 29], Operations: ['29+77=106', '43-14=29'] Exploring Operation: 106-29=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 5, 42, 95, 26 ]
32
[ "42-5=37", "95-26=69", "69-37=32" ]
Current State: 32:[5, 42, 95, 26], Operations: [] Exploring Operation: 42-5=37, Resulting Numbers: [95, 26, 37] Generated Node #2: [95, 26, 37] from Operation: 42-5=37 Current State: 32:[95, 26, 37], Operations: ['42-5=37'] Exploring Operation: 95-26=69, Resulting Numbers: [37, 69] Generated Node #3: [37, 69] from Operation: 95-26=69 Current State: 32:[37, 69], Operations: ['42-5=37', '95-26=69'] Exploring Operation: 69-37=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 24, 35, 40, 1 ]
96
[ "40-35=5", "5-1=4", "24*4=96" ]
Current State: 96:[24, 35, 40, 1], Operations: [] Exploring Operation: 40-35=5, Resulting Numbers: [24, 1, 5] Generated Node #2: [24, 1, 5] from Operation: 40-35=5 Current State: 96:[24, 1, 5], Operations: ['40-35=5'] Exploring Operation: 5-1=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 5-1=4 Current State: 96:[24, 4], Operations: ['40-35=5', '5-1=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 32, 51, 22, 31 ]
28
[ "51-32=19", "31-22=9", "19+9=28" ]
Current State: 28:[32, 51, 22, 31], Operations: [] Exploring Operation: 51-32=19, Resulting Numbers: [22, 31, 19] Generated Node #2: [22, 31, 19] from Operation: 51-32=19 Current State: 28:[22, 31, 19], Operations: ['51-32=19'] Exploring Operation: 31-22=9, Resulting Numbers: [19, 9] Generated Node #3: [19, 9] from Operation: 31-22=9 Current State: 28:[19, 9], Operations: ['51-32=19', '31-22=9'] Exploring Operation: 19+9=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 64, 97, 50, 44 ]
61
[ "97-64=33", "50+44=94", "94-33=61" ]
Current State: 61:[64, 97, 50, 44], Operations: [] Exploring Operation: 97-64=33, Resulting Numbers: [50, 44, 33] Generated Node #2: [50, 44, 33] from Operation: 97-64=33 Current State: 61:[50, 44, 33], Operations: ['97-64=33'] Exploring Operation: 50+44=94, Resulting Numbers: [33, 94] Generated Node #3: [33, 94] from Operation: 50+44=94 Current State: 61:[33, 94], Operations: ['97-64=33', '50+44=94'] Exploring Operation: 94-33=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 72, 74, 72, 27 ]
100
[ "72/72=1", "74+27=101", "101-1=100" ]
Current State: 100:[72, 74, 72, 27], Operations: [] Exploring Operation: 72/72=1, Resulting Numbers: [74, 27, 1] Generated Node #2: [74, 27, 1] from Operation: 72/72=1 Current State: 100:[74, 27, 1], Operations: ['72/72=1'] Exploring Operation: 74+27=101, Resulting Numbers: [1, 101] Generated Node #3: [1, 101] from Operation: 74+27=101 Current State: 100:[1, 101], Operations: ['72/72=1', '74+27=101'] Exploring Operation: 101-1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 7, 70, 3, 20 ]
79
[ "7+20=27", "27/3=9", "70+9=79" ]
Current State: 79:[7, 70, 3, 20], Operations: [] Exploring Operation: 7+20=27, Resulting Numbers: [70, 3, 27] Generated Node #2: [70, 3, 27] from Operation: 7+20=27 Current State: 79:[70, 3, 27], Operations: ['7+20=27'] Exploring Operation: 27/3=9, Resulting Numbers: [70, 9] Generated Node #3: [70, 9] from Operation: 27/3=9 Current State: 79:[70, 9], Operations: ['7+20=27', '27/3=9'] Exploring Operation: 70+9=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 14, 60, 36, 24 ]
81
[ "14*36=504", "504/24=21", "60+21=81" ]
Current State: 81:[14, 60, 36, 24], Operations: [] Exploring Operation: 14*36=504, Resulting Numbers: [60, 24, 504] Generated Node #2: [60, 24, 504] from Operation: 14*36=504 Current State: 81:[60, 24, 504], Operations: ['14*36=504'] Exploring Operation: 504/24=21, Resulting Numbers: [60, 21] Generated Node #3: [60, 21] from Operation: 504/24=21 Current State: 81:[60, 21], Operations: ['14*36=504', '504/24=21'] Exploring Operation: 60+21=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 76, 83, 58, 16 ]
35
[ "83-76=7", "58-16=42", "42-7=35" ]
Current State: 35:[76, 83, 58, 16], Operations: [] Exploring Operation: 83-76=7, Resulting Numbers: [58, 16, 7] Generated Node #2: [58, 16, 7] from Operation: 83-76=7 Current State: 35:[58, 16, 7], Operations: ['83-76=7'] Exploring Operation: 58-16=42, Resulting Numbers: [7, 42] Generated Node #3: [7, 42] from Operation: 58-16=42 Current State: 35:[7, 42], Operations: ['83-76=7', '58-16=42'] Exploring Operation: 42-7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 15, 93, 89, 80 ]
20
[ "93-89=4", "15*4=60", "80-60=20" ]
Current State: 20:[15, 93, 89, 80], Operations: [] Exploring Operation: 93-89=4, Resulting Numbers: [15, 80, 4] Generated Node #2: [15, 80, 4] from Operation: 93-89=4 Current State: 20:[15, 80, 4], Operations: ['93-89=4'] Exploring Operation: 15*4=60, Resulting Numbers: [80, 60] Generated Node #3: [80, 60] from Operation: 15*4=60 Current State: 20:[80, 60], Operations: ['93-89=4', '15*4=60'] Exploring Operation: 80-60=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 94, 5, 54, 19 ]
54
[ "94-5=89", "54-19=35", "89-35=54" ]
Current State: 54:[94, 5, 54, 19], Operations: [] Exploring Operation: 94-5=89, Resulting Numbers: [54, 19, 89] Generated Node #2: [54, 19, 89] from Operation: 94-5=89 Current State: 54:[54, 19, 89], Operations: ['94-5=89'] Exploring Operation: 54-19=35, Resulting Numbers: [89, 35] Generated Node #3: [89, 35] from Operation: 54-19=35 Current State: 54:[89, 35], Operations: ['94-5=89', '54-19=35'] Exploring Operation: 89-35=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 44, 83, 48, 64 ]
99
[ "48-44=4", "64/4=16", "83+16=99" ]
Current State: 99:[44, 83, 48, 64], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [83, 64, 4] Generated Node #2: [83, 64, 4] from Operation: 48-44=4 Current State: 99:[83, 64, 4], Operations: ['48-44=4'] Exploring Operation: 64/4=16, Resulting Numbers: [83, 16] Generated Node #3: [83, 16] from Operation: 64/4=16 Current State: 99:[83, 16], Operations: ['48-44=4', '64/4=16'] Exploring Operation: 83+16=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 80, 64, 74, 69 ]
11
[ "80-64=16", "74-69=5", "16-5=11" ]
Current State: 11:[80, 64, 74, 69], Operations: [] Exploring Operation: 80-64=16, Resulting Numbers: [74, 69, 16] Generated Node #2: [74, 69, 16] from Operation: 80-64=16 Current State: 11:[74, 69, 16], Operations: ['80-64=16'] Exploring Operation: 74-69=5, Resulting Numbers: [16, 5] Generated Node #3: [16, 5] from Operation: 74-69=5 Current State: 11:[16, 5], Operations: ['80-64=16', '74-69=5'] Exploring Operation: 16-5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 47, 17, 67, 79 ]
18
[ "47-17=30", "79-67=12", "30-12=18" ]
Current State: 18:[47, 17, 67, 79], Operations: [] Exploring Operation: 47-17=30, Resulting Numbers: [67, 79, 30] Generated Node #2: [67, 79, 30] from Operation: 47-17=30 Current State: 18:[67, 79, 30], Operations: ['47-17=30'] Exploring Operation: 79-67=12, Resulting Numbers: [30, 12] Generated Node #3: [30, 12] from Operation: 79-67=12 Current State: 18:[30, 12], Operations: ['47-17=30', '79-67=12'] Exploring Operation: 30-12=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 16, 18, 5, 62 ]
25
[ "18+62=80", "80/16=5", "5*5=25" ]
Current State: 25:[16, 18, 5, 62], Operations: [] Exploring Operation: 18+62=80, Resulting Numbers: [16, 5, 80] Generated Node #2: [16, 5, 80] from Operation: 18+62=80 Current State: 25:[16, 5, 80], Operations: ['18+62=80'] Exploring Operation: 80/16=5, Resulting Numbers: [5, 5] Generated Node #3: [5, 5] from Operation: 80/16=5 Current State: 25:[5, 5], Operations: ['18+62=80', '80/16=5'] Exploring Operation: 5*5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 59, 29, 18, 37 ]
69
[ "59+29=88", "37-18=19", "88-19=69" ]
Current State: 69:[59, 29, 18, 37], Operations: [] Exploring Operation: 59+29=88, Resulting Numbers: [18, 37, 88] Generated Node #2: [18, 37, 88] from Operation: 59+29=88 Current State: 69:[18, 37, 88], Operations: ['59+29=88'] Exploring Operation: 37-18=19, Resulting Numbers: [88, 19] Generated Node #3: [88, 19] from Operation: 37-18=19 Current State: 69:[88, 19], Operations: ['59+29=88', '37-18=19'] Exploring Operation: 88-19=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 1, 10, 83, 1 ]
83
[ "1-1=0", "10*0=0", "83+0=83" ]
Current State: 83:[1, 10, 83, 1], Operations: [] Exploring Operation: 1-1=0, Resulting Numbers: [10, 83, 0] Generated Node #2: [10, 83, 0] from Operation: 1-1=0 Current State: 83:[10, 83, 0], Operations: ['1-1=0'] Exploring Operation: 10*0=0, Resulting Numbers: [83, 0] Generated Node #3: [83, 0] from Operation: 10*0=0 Current State: 83:[83, 0], Operations: ['1-1=0', '10*0=0'] Exploring Operation: 83+0=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 70, 41, 64, 5 ]
81
[ "70-41=29", "5*29=145", "145-64=81" ]
Current State: 81:[70, 41, 64, 5], Operations: [] Exploring Operation: 70-41=29, Resulting Numbers: [64, 5, 29] Generated Node #2: [64, 5, 29] from Operation: 70-41=29 Current State: 81:[64, 5, 29], Operations: ['70-41=29'] Exploring Operation: 5*29=145, Resulting Numbers: [64, 145] Generated Node #3: [64, 145] from Operation: 5*29=145 Current State: 81:[64, 145], Operations: ['70-41=29', '5*29=145'] Exploring Operation: 145-64=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 31, 3, 26, 34 ]
15
[ "31+26=57", "57/3=19", "34-19=15" ]
Current State: 15:[31, 3, 26, 34], Operations: [] Exploring Operation: 31+26=57, Resulting Numbers: [3, 34, 57] Generated Node #2: [3, 34, 57] from Operation: 31+26=57 Current State: 15:[3, 34, 57], Operations: ['31+26=57'] Exploring Operation: 57/3=19, Resulting Numbers: [34, 19] Generated Node #3: [34, 19] from Operation: 57/3=19 Current State: 15:[34, 19], Operations: ['31+26=57', '57/3=19'] Exploring Operation: 34-19=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 86, 78, 37, 52 ]
23
[ "86-78=8", "52-37=15", "8+15=23" ]
Current State: 23:[86, 78, 37, 52], Operations: [] Exploring Operation: 86-78=8, Resulting Numbers: [37, 52, 8] Generated Node #2: [37, 52, 8] from Operation: 86-78=8 Current State: 23:[37, 52, 8], Operations: ['86-78=8'] Exploring Operation: 52-37=15, Resulting Numbers: [8, 15] Generated Node #3: [8, 15] from Operation: 52-37=15 Current State: 23:[8, 15], Operations: ['86-78=8', '52-37=15'] Exploring Operation: 8+15=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 48, 77, 24, 24 ]
51
[ "48/24=2", "77-24=53", "53-2=51" ]
Current State: 51:[48, 77, 24, 24], Operations: [] Exploring Operation: 48/24=2, Resulting Numbers: [77, 2] Generated Node #2: [77, 2] from Operation: 48/24=2 Current State: 51:[77, 2], Operations: ['48/24=2'] Exploring Operation: 77-24=53, Resulting Numbers: [2, 53] Generated Node #3: [2, 53] from Operation: 77-24=53 Current State: 51:[2, 53], Operations: ['48/24=2', '77-24=53'] Exploring Operation: 53-2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 44, 13, 36, 46 ]
98
[ "46-44=2", "13+36=49", "2*49=98" ]
Current State: 98:[44, 13, 36, 46], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [13, 36, 2] Generated Node #2: [13, 36, 2] from Operation: 46-44=2 Current State: 98:[13, 36, 2], Operations: ['46-44=2'] Exploring Operation: 13+36=49, Resulting Numbers: [2, 49] Generated Node #3: [2, 49] from Operation: 13+36=49 Current State: 98:[2, 49], Operations: ['46-44=2', '13+36=49'] Exploring Operation: 2*49=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 18, 26, 14, 15 ]
97
[ "26-18=8", "14*8=112", "112-15=97" ]
Current State: 97:[18, 26, 14, 15], Operations: [] Exploring Operation: 26-18=8, Resulting Numbers: [14, 15, 8] Generated Node #2: [14, 15, 8] from Operation: 26-18=8 Current State: 97:[14, 15, 8], Operations: ['26-18=8'] Exploring Operation: 14*8=112, Resulting Numbers: [15, 112] Generated Node #3: [15, 112] from Operation: 14*8=112 Current State: 97:[15, 112], Operations: ['26-18=8', '14*8=112'] Exploring Operation: 112-15=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 57, 53, 11, 23 ]
33
[ "57+53=110", "110/11=10", "23+10=33" ]
Current State: 33:[57, 53, 11, 23], Operations: [] Exploring Operation: 57+53=110, Resulting Numbers: [11, 23, 110] Generated Node #2: [11, 23, 110] from Operation: 57+53=110 Current State: 33:[11, 23, 110], Operations: ['57+53=110'] Exploring Operation: 110/11=10, Resulting Numbers: [23, 10] Generated Node #3: [23, 10] from Operation: 110/11=10 Current State: 33:[23, 10], Operations: ['57+53=110', '110/11=10'] Exploring Operation: 23+10=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 45, 36, 29, 27 ]
34
[ "36-27=9", "45/9=5", "29+5=34" ]
Current State: 34:[45, 36, 29, 27], Operations: [] Exploring Operation: 36-27=9, Resulting Numbers: [45, 29, 9] Generated Node #2: [45, 29, 9] from Operation: 36-27=9 Current State: 34:[45, 29, 9], Operations: ['36-27=9'] Exploring Operation: 45/9=5, Resulting Numbers: [29, 5] Generated Node #3: [29, 5] from Operation: 45/9=5 Current State: 34:[29, 5], Operations: ['36-27=9', '45/9=5'] Exploring Operation: 29+5=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 59, 10, 16, 85 ]
52
[ "59-10=49", "16+85=101", "101-49=52" ]
Current State: 52:[59, 10, 16, 85], Operations: [] Exploring Operation: 59-10=49, Resulting Numbers: [16, 85, 49] Generated Node #2: [16, 85, 49] from Operation: 59-10=49 Current State: 52:[16, 85, 49], Operations: ['59-10=49'] Exploring Operation: 16+85=101, Resulting Numbers: [49, 101] Generated Node #3: [49, 101] from Operation: 16+85=101 Current State: 52:[49, 101], Operations: ['59-10=49', '16+85=101'] Exploring Operation: 101-49=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 21, 25, 98, 62 ]
10
[ "21+25=46", "98-62=36", "46-36=10" ]
Current State: 10:[21, 25, 98, 62], Operations: [] Exploring Operation: 21+25=46, Resulting Numbers: [98, 62, 46] Generated Node #2: [98, 62, 46] from Operation: 21+25=46 Current State: 10:[98, 62, 46], Operations: ['21+25=46'] Exploring Operation: 98-62=36, Resulting Numbers: [46, 36] Generated Node #3: [46, 36] from Operation: 98-62=36 Current State: 10:[46, 36], Operations: ['21+25=46', '98-62=36'] Exploring Operation: 46-36=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 35, 46, 33, 82 ]
87
[ "35-33=2", "82/2=41", "46+41=87" ]
Current State: 87:[35, 46, 33, 82], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [46, 82, 2] Generated Node #2: [46, 82, 2] from Operation: 35-33=2 Current State: 87:[46, 82, 2], Operations: ['35-33=2'] Exploring Operation: 82/2=41, Resulting Numbers: [46, 41] Generated Node #3: [46, 41] from Operation: 82/2=41 Current State: 87:[46, 41], Operations: ['35-33=2', '82/2=41'] Exploring Operation: 46+41=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 23, 2, 22, 44 ]
92
[ "23*2=46", "44/22=2", "46*2=92" ]
Current State: 92:[23, 2, 22, 44], Operations: [] Exploring Operation: 23*2=46, Resulting Numbers: [22, 44, 46] Generated Node #2: [22, 44, 46] from Operation: 23*2=46 Current State: 92:[22, 44, 46], Operations: ['23*2=46'] Exploring Operation: 44/22=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 44/22=2 Current State: 92:[46, 2], Operations: ['23*2=46', '44/22=2'] Exploring Operation: 46*2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4