Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 54, 13, 18, 22 ]
12
[ "54/18=3", "22-13=9", "3+9=12" ]
Current State: 12:[54, 13, 18, 22], Operations: [] Exploring Operation: 54/18=3, Resulting Numbers: [13, 22, 3] Generated Node #2: [13, 22, 3] from Operation: 54/18=3 Current State: 12:[13, 22, 3], Operations: ['54/18=3'] Exploring Operation: 22-13=9, Resulting Numbers: [3, 9] Generated Node #3: [3, 9] from Operation: 22-13=9 Current State: 12:[3, 9], Operations: ['54/18=3', '22-13=9'] Exploring Operation: 3+9=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 92, 76, 37, 36 ]
89
[ "92-76=16", "37+36=73", "16+73=89" ]
Current State: 89:[92, 76, 37, 36], Operations: [] Exploring Operation: 92-76=16, Resulting Numbers: [37, 36, 16] Generated Node #2: [37, 36, 16] from Operation: 92-76=16 Current State: 89:[37, 36, 16], Operations: ['92-76=16'] Exploring Operation: 37+36=73, Resulting Numbers: [16, 73] Generated Node #3: [16, 73] from Operation: 37+36=73 Current State: 89:[16, 73], Operations: ['92-76=16', '37+36=73'] Exploring Operation: 16+73=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 21, 27, 3, 24 ]
12
[ "27-21=6", "3*24=72", "72/6=12" ]
Current State: 12:[21, 27, 3, 24], Operations: [] Exploring Operation: 27-21=6, Resulting Numbers: [3, 24, 6] Generated Node #2: [3, 24, 6] from Operation: 27-21=6 Current State: 12:[3, 24, 6], Operations: ['27-21=6'] Exploring Operation: 3*24=72, Resulting Numbers: [6, 72] Generated Node #3: [6, 72] from Operation: 3*24=72 Current State: 12:[6, 72], Operations: ['27-21=6', '3*24=72'] Exploring Operation: 72/6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 82, 57, 37, 17 ]
85
[ "82+57=139", "37+17=54", "139-54=85" ]
Current State: 85:[82, 57, 37, 17], Operations: [] Exploring Operation: 82+57=139, Resulting Numbers: [37, 17, 139] Generated Node #2: [37, 17, 139] from Operation: 82+57=139 Current State: 85:[37, 17, 139], Operations: ['82+57=139'] Exploring Operation: 37+17=54, Resulting Numbers: [139, 54] Generated Node #3: [139, 54] from Operation: 37+17=54 Current State: 85:[139, 54], Operations: ['82+57=139', '37+17=54'] Exploring Operation: 139-54=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 21, 43, 42, 70 ]
48
[ "21+43=64", "42+70=112", "112-64=48" ]
Current State: 48:[21, 43, 42, 70], Operations: [] Exploring Operation: 21+43=64, Resulting Numbers: [42, 70, 64] Generated Node #2: [42, 70, 64] from Operation: 21+43=64 Current State: 48:[42, 70, 64], Operations: ['21+43=64'] Exploring Operation: 42+70=112, Resulting Numbers: [64, 112] Generated Node #3: [64, 112] from Operation: 42+70=112 Current State: 48:[64, 112], Operations: ['21+43=64', '42+70=112'] Exploring Operation: 112-64=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 37, 30, 54, 6 ]
16
[ "37-30=7", "54/6=9", "7+9=16" ]
Current State: 16:[37, 30, 54, 6], Operations: [] Exploring Operation: 37-30=7, Resulting Numbers: [54, 6, 7] Generated Node #2: [54, 6, 7] from Operation: 37-30=7 Current State: 16:[54, 6, 7], Operations: ['37-30=7'] Exploring Operation: 54/6=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 54/6=9 Current State: 16:[7, 9], Operations: ['37-30=7', '54/6=9'] Exploring Operation: 7+9=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 80, 92, 6, 97 ]
22
[ "97-92=5", "80/5=16", "6+16=22" ]
Current State: 22:[80, 92, 6, 97], Operations: [] Exploring Operation: 97-92=5, Resulting Numbers: [80, 6, 5] Generated Node #2: [80, 6, 5] from Operation: 97-92=5 Current State: 22:[80, 6, 5], Operations: ['97-92=5'] Exploring Operation: 80/5=16, Resulting Numbers: [6, 16] Generated Node #3: [6, 16] from Operation: 80/5=16 Current State: 22:[6, 16], Operations: ['97-92=5', '80/5=16'] Exploring Operation: 6+16=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 50, 86, 31, 13 ]
65
[ "86-50=36", "36-31=5", "13*5=65" ]
Current State: 65:[50, 86, 31, 13], Operations: [] Exploring Operation: 86-50=36, Resulting Numbers: [31, 13, 36] Generated Node #2: [31, 13, 36] from Operation: 86-50=36 Current State: 65:[31, 13, 36], Operations: ['86-50=36'] Exploring Operation: 36-31=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 36-31=5 Current State: 65:[13, 5], Operations: ['86-50=36', '36-31=5'] Exploring Operation: 13*5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 42, 10, 50, 22 ]
69
[ "42+22=64", "50/10=5", "64+5=69" ]
Current State: 69:[42, 10, 50, 22], Operations: [] Exploring Operation: 42+22=64, Resulting Numbers: [10, 50, 64] Generated Node #2: [10, 50, 64] from Operation: 42+22=64 Current State: 69:[10, 50, 64], Operations: ['42+22=64'] Exploring Operation: 50/10=5, Resulting Numbers: [64, 5] Generated Node #3: [64, 5] from Operation: 50/10=5 Current State: 69:[64, 5], Operations: ['42+22=64', '50/10=5'] Exploring Operation: 64+5=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 96, 56, 9, 3 ]
99
[ "56+9=65", "3*65=195", "195-96=99" ]
Current State: 99:[96, 56, 9, 3], Operations: [] Exploring Operation: 56+9=65, Resulting Numbers: [96, 3, 65] Generated Node #2: [96, 3, 65] from Operation: 56+9=65 Current State: 99:[96, 3, 65], Operations: ['56+9=65'] Exploring Operation: 3*65=195, Resulting Numbers: [96, 195] Generated Node #3: [96, 195] from Operation: 3*65=195 Current State: 99:[96, 195], Operations: ['56+9=65', '3*65=195'] Exploring Operation: 195-96=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 15, 43, 13, 71 ]
73
[ "43-13=30", "30/15=2", "71+2=73" ]
Current State: 73:[15, 43, 13, 71], Operations: [] Exploring Operation: 43-13=30, Resulting Numbers: [15, 71, 30] Generated Node #2: [15, 71, 30] from Operation: 43-13=30 Current State: 73:[15, 71, 30], Operations: ['43-13=30'] Exploring Operation: 30/15=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 30/15=2 Current State: 73:[71, 2], Operations: ['43-13=30', '30/15=2'] Exploring Operation: 71+2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 8, 36, 47, 16 ]
81
[ "16/8=2", "36+47=83", "83-2=81" ]
Current State: 81:[8, 36, 47, 16], Operations: [] Exploring Operation: 16/8=2, Resulting Numbers: [36, 47, 2] Generated Node #2: [36, 47, 2] from Operation: 16/8=2 Current State: 81:[36, 47, 2], Operations: ['16/8=2'] Exploring Operation: 36+47=83, Resulting Numbers: [2, 83] Generated Node #3: [2, 83] from Operation: 36+47=83 Current State: 81:[2, 83], Operations: ['16/8=2', '36+47=83'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 19, 49, 9, 84 ]
52
[ "19+9=28", "84/28=3", "49+3=52" ]
Current State: 52:[19, 49, 9, 84], Operations: [] Exploring Operation: 19+9=28, Resulting Numbers: [49, 84, 28] Generated Node #2: [49, 84, 28] from Operation: 19+9=28 Current State: 52:[49, 84, 28], Operations: ['19+9=28'] Exploring Operation: 84/28=3, Resulting Numbers: [49, 3] Generated Node #3: [49, 3] from Operation: 84/28=3 Current State: 52:[49, 3], Operations: ['19+9=28', '84/28=3'] Exploring Operation: 49+3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 56, 42, 13, 30 ]
100
[ "42-30=12", "13*12=156", "156-56=100" ]
Current State: 100:[56, 42, 13, 30], Operations: [] Exploring Operation: 42-30=12, Resulting Numbers: [56, 13, 12] Generated Node #2: [56, 13, 12] from Operation: 42-30=12 Current State: 100:[56, 13, 12], Operations: ['42-30=12'] Exploring Operation: 13*12=156, Resulting Numbers: [56, 156] Generated Node #3: [56, 156] from Operation: 13*12=156 Current State: 100:[56, 156], Operations: ['42-30=12', '13*12=156'] Exploring Operation: 156-56=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 82, 90, 1, 48 ]
41
[ "90-82=8", "1+48=49", "49-8=41" ]
Current State: 41:[82, 90, 1, 48], Operations: [] Exploring Operation: 90-82=8, Resulting Numbers: [1, 48, 8] Generated Node #2: [1, 48, 8] from Operation: 90-82=8 Current State: 41:[1, 48, 8], Operations: ['90-82=8'] Exploring Operation: 1+48=49, Resulting Numbers: [8, 49] Generated Node #3: [8, 49] from Operation: 1+48=49 Current State: 41:[8, 49], Operations: ['90-82=8', '1+48=49'] Exploring Operation: 49-8=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 3, 63, 98, 55 ]
72
[ "63+98=161", "55+161=216", "216/3=72" ]
Current State: 72:[3, 63, 98, 55], Operations: [] Exploring Operation: 63+98=161, Resulting Numbers: [3, 55, 161] Generated Node #2: [3, 55, 161] from Operation: 63+98=161 Current State: 72:[3, 55, 161], Operations: ['63+98=161'] Exploring Operation: 55+161=216, Resulting Numbers: [3, 216] Generated Node #3: [3, 216] from Operation: 55+161=216 Current State: 72:[3, 216], Operations: ['63+98=161', '55+161=216'] Exploring Operation: 216/3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 57, 97, 84, 48 ]
70
[ "97-57=40", "84*40=3360", "3360/48=70" ]
Current State: 70:[57, 97, 84, 48], Operations: [] Exploring Operation: 97-57=40, Resulting Numbers: [84, 48, 40] Generated Node #2: [84, 48, 40] from Operation: 97-57=40 Current State: 70:[84, 48, 40], Operations: ['97-57=40'] Exploring Operation: 84*40=3360, Resulting Numbers: [48, 3360] Generated Node #3: [48, 3360] from Operation: 84*40=3360 Current State: 70:[48, 3360], Operations: ['97-57=40', '84*40=3360'] Exploring Operation: 3360/48=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 21, 26, 83, 24 ]
64
[ "26-21=5", "83-24=59", "5+59=64" ]
Current State: 64:[21, 26, 83, 24], Operations: [] Exploring Operation: 26-21=5, Resulting Numbers: [83, 24, 5] Generated Node #2: [83, 24, 5] from Operation: 26-21=5 Current State: 64:[83, 24, 5], Operations: ['26-21=5'] Exploring Operation: 83-24=59, Resulting Numbers: [5, 59] Generated Node #3: [5, 59] from Operation: 83-24=59 Current State: 64:[5, 59], Operations: ['26-21=5', '83-24=59'] Exploring Operation: 5+59=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 69, 54, 74, 71 ]
12
[ "69-54=15", "74-71=3", "15-3=12" ]
Current State: 12:[69, 54, 74, 71], Operations: [] Exploring Operation: 69-54=15, Resulting Numbers: [74, 71, 15] Generated Node #2: [74, 71, 15] from Operation: 69-54=15 Current State: 12:[74, 71, 15], Operations: ['69-54=15'] Exploring Operation: 74-71=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 74-71=3 Current State: 12:[15, 3], Operations: ['69-54=15', '74-71=3'] Exploring Operation: 15-3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 5, 37, 45, 60 ]
14
[ "45/5=9", "60-37=23", "23-9=14" ]
Current State: 14:[5, 37, 45, 60], Operations: [] Exploring Operation: 45/5=9, Resulting Numbers: [37, 60, 9] Generated Node #2: [37, 60, 9] from Operation: 45/5=9 Current State: 14:[37, 60, 9], Operations: ['45/5=9'] Exploring Operation: 60-37=23, Resulting Numbers: [9, 23] Generated Node #3: [9, 23] from Operation: 60-37=23 Current State: 14:[9, 23], Operations: ['45/5=9', '60-37=23'] Exploring Operation: 23-9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 27, 41, 56, 98 ]
63
[ "41-27=14", "98/14=7", "56+7=63" ]
Current State: 63:[27, 41, 56, 98], Operations: [] Exploring Operation: 41-27=14, Resulting Numbers: [56, 98, 14] Generated Node #2: [56, 98, 14] from Operation: 41-27=14 Current State: 63:[56, 98, 14], Operations: ['41-27=14'] Exploring Operation: 98/14=7, Resulting Numbers: [56, 7] Generated Node #3: [56, 7] from Operation: 98/14=7 Current State: 63:[56, 7], Operations: ['41-27=14', '98/14=7'] Exploring Operation: 56+7=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 10, 76, 62, 22 ]
80
[ "76-62=14", "22-14=8", "10*8=80" ]
Current State: 80:[10, 76, 62, 22], Operations: [] Exploring Operation: 76-62=14, Resulting Numbers: [10, 22, 14] Generated Node #2: [10, 22, 14] from Operation: 76-62=14 Current State: 80:[10, 22, 14], Operations: ['76-62=14'] Exploring Operation: 22-14=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 22-14=8 Current State: 80:[10, 8], Operations: ['76-62=14', '22-14=8'] Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 66, 95, 2, 15 ]
77
[ "66/2=33", "95+15=110", "110-33=77" ]
Current State: 77:[66, 95, 2, 15], Operations: [] Exploring Operation: 66/2=33, Resulting Numbers: [95, 15, 33] Generated Node #2: [95, 15, 33] from Operation: 66/2=33 Current State: 77:[95, 15, 33], Operations: ['66/2=33'] Exploring Operation: 95+15=110, Resulting Numbers: [33, 110] Generated Node #3: [33, 110] from Operation: 95+15=110 Current State: 77:[33, 110], Operations: ['66/2=33', '95+15=110'] Exploring Operation: 110-33=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 88, 3, 95, 1 ]
28
[ "95-88=7", "3+1=4", "7*4=28" ]
Current State: 28:[88, 3, 95, 1], Operations: [] Exploring Operation: 95-88=7, Resulting Numbers: [3, 1, 7] Generated Node #2: [3, 1, 7] from Operation: 95-88=7 Current State: 28:[3, 1, 7], Operations: ['95-88=7'] Exploring Operation: 3+1=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 3+1=4 Current State: 28:[7, 4], Operations: ['95-88=7', '3+1=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 15, 75, 3, 24 ]
69
[ "15+75=90", "24-3=21", "90-21=69" ]
Current State: 69:[15, 75, 3, 24], Operations: [] Exploring Operation: 15+75=90, Resulting Numbers: [3, 24, 90] Generated Node #2: [3, 24, 90] from Operation: 15+75=90 Current State: 69:[3, 24, 90], Operations: ['15+75=90'] Exploring Operation: 24-3=21, Resulting Numbers: [90, 21] Generated Node #3: [90, 21] from Operation: 24-3=21 Current State: 69:[90, 21], Operations: ['15+75=90', '24-3=21'] Exploring Operation: 90-21=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 69, 79, 20, 56 ]
46
[ "79-69=10", "56-20=36", "10+36=46" ]
Current State: 46:[69, 79, 20, 56], Operations: [] Exploring Operation: 79-69=10, Resulting Numbers: [20, 56, 10] Generated Node #2: [20, 56, 10] from Operation: 79-69=10 Current State: 46:[20, 56, 10], Operations: ['79-69=10'] Exploring Operation: 56-20=36, Resulting Numbers: [10, 36] Generated Node #3: [10, 36] from Operation: 56-20=36 Current State: 46:[10, 36], Operations: ['79-69=10', '56-20=36'] Exploring Operation: 10+36=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 94, 71, 51, 91 ]
23
[ "94+71=165", "51+91=142", "165-142=23" ]
Current State: 23:[94, 71, 51, 91], Operations: [] Exploring Operation: 94+71=165, Resulting Numbers: [51, 91, 165] Generated Node #2: [51, 91, 165] from Operation: 94+71=165 Current State: 23:[51, 91, 165], Operations: ['94+71=165'] Exploring Operation: 51+91=142, Resulting Numbers: [165, 142] Generated Node #3: [165, 142] from Operation: 51+91=142 Current State: 23:[165, 142], Operations: ['94+71=165', '51+91=142'] Exploring Operation: 165-142=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 92, 48, 8, 72 ]
14
[ "92-72=20", "48/8=6", "20-6=14" ]
Current State: 14:[92, 48, 8, 72], Operations: [] Exploring Operation: 92-72=20, Resulting Numbers: [48, 8, 20] Generated Node #2: [48, 8, 20] from Operation: 92-72=20 Current State: 14:[48, 8, 20], Operations: ['92-72=20'] Exploring Operation: 48/8=6, Resulting Numbers: [20, 6] Generated Node #3: [20, 6] from Operation: 48/8=6 Current State: 14:[20, 6], Operations: ['92-72=20', '48/8=6'] Exploring Operation: 20-6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 68, 46, 20, 21 ]
73
[ "68+46=114", "20+21=41", "114-41=73" ]
Current State: 73:[68, 46, 20, 21], Operations: [] Exploring Operation: 68+46=114, Resulting Numbers: [20, 21, 114] Generated Node #2: [20, 21, 114] from Operation: 68+46=114 Current State: 73:[20, 21, 114], Operations: ['68+46=114'] Exploring Operation: 20+21=41, Resulting Numbers: [114, 41] Generated Node #3: [114, 41] from Operation: 20+21=41 Current State: 73:[114, 41], Operations: ['68+46=114', '20+21=41'] Exploring Operation: 114-41=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 54, 5, 50, 88 ]
87
[ "54-5=49", "88-50=38", "49+38=87" ]
Current State: 87:[54, 5, 50, 88], Operations: [] Exploring Operation: 54-5=49, Resulting Numbers: [50, 88, 49] Generated Node #2: [50, 88, 49] from Operation: 54-5=49 Current State: 87:[50, 88, 49], Operations: ['54-5=49'] Exploring Operation: 88-50=38, Resulting Numbers: [49, 38] Generated Node #3: [49, 38] from Operation: 88-50=38 Current State: 87:[49, 38], Operations: ['54-5=49', '88-50=38'] Exploring Operation: 49+38=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 33, 13, 48, 95 ]
97
[ "33+13=46", "48+95=143", "143-46=97" ]
Current State: 97:[33, 13, 48, 95], Operations: [] Exploring Operation: 33+13=46, Resulting Numbers: [48, 95, 46] Generated Node #2: [48, 95, 46] from Operation: 33+13=46 Current State: 97:[48, 95, 46], Operations: ['33+13=46'] Exploring Operation: 48+95=143, Resulting Numbers: [46, 143] Generated Node #3: [46, 143] from Operation: 48+95=143 Current State: 97:[46, 143], Operations: ['33+13=46', '48+95=143'] Exploring Operation: 143-46=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 23, 85, 50, 48 ]
36
[ "85-23=62", "50+48=98", "98-62=36" ]
Current State: 36:[23, 85, 50, 48], Operations: [] Exploring Operation: 85-23=62, Resulting Numbers: [50, 48, 62] Generated Node #2: [50, 48, 62] from Operation: 85-23=62 Current State: 36:[50, 48, 62], Operations: ['85-23=62'] Exploring Operation: 50+48=98, Resulting Numbers: [62, 98] Generated Node #3: [62, 98] from Operation: 50+48=98 Current State: 36:[62, 98], Operations: ['85-23=62', '50+48=98'] Exploring Operation: 98-62=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 95, 90, 25, 27 ]
10
[ "95-90=5", "27-25=2", "5*2=10" ]
Current State: 10:[95, 90, 25, 27], Operations: [] Exploring Operation: 95-90=5, Resulting Numbers: [25, 27, 5] Generated Node #2: [25, 27, 5] from Operation: 95-90=5 Current State: 10:[25, 27, 5], Operations: ['95-90=5'] Exploring Operation: 27-25=2, Resulting Numbers: [5, 2] Generated Node #3: [5, 2] from Operation: 27-25=2 Current State: 10:[5, 2], Operations: ['95-90=5', '27-25=2'] Exploring Operation: 5*2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 87, 20, 10, 73 ]
44
[ "87+20=107", "73-10=63", "107-63=44" ]
Current State: 44:[87, 20, 10, 73], Operations: [] Exploring Operation: 87+20=107, Resulting Numbers: [10, 73, 107] Generated Node #2: [10, 73, 107] from Operation: 87+20=107 Current State: 44:[10, 73, 107], Operations: ['87+20=107'] Exploring Operation: 73-10=63, Resulting Numbers: [107, 63] Generated Node #3: [107, 63] from Operation: 73-10=63 Current State: 44:[107, 63], Operations: ['87+20=107', '73-10=63'] Exploring Operation: 107-63=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 10, 50, 37, 39 ]
62
[ "10+50=60", "39-37=2", "60+2=62" ]
Current State: 62:[10, 50, 37, 39], Operations: [] Exploring Operation: 10+50=60, Resulting Numbers: [37, 39, 60] Generated Node #2: [37, 39, 60] from Operation: 10+50=60 Current State: 62:[37, 39, 60], Operations: ['10+50=60'] Exploring Operation: 39-37=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 39-37=2 Current State: 62:[60, 2], Operations: ['10+50=60', '39-37=2'] Exploring Operation: 60+2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 35, 92, 77, 35 ]
99
[ "92-35=57", "77-35=42", "57+42=99" ]
Current State: 99:[35, 92, 77, 35], Operations: [] Exploring Operation: 92-35=57, Resulting Numbers: [77, 57] Generated Node #2: [77, 57] from Operation: 92-35=57 Current State: 99:[77, 57], Operations: ['92-35=57'] Exploring Operation: 77-35=42, Resulting Numbers: [57, 42] Generated Node #3: [57, 42] from Operation: 77-35=42 Current State: 99:[57, 42], Operations: ['92-35=57', '77-35=42'] Exploring Operation: 57+42=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 90, 52, 45, 88 ]
95
[ "90-52=38", "45+88=133", "133-38=95" ]
Current State: 95:[90, 52, 45, 88], Operations: [] Exploring Operation: 90-52=38, Resulting Numbers: [45, 88, 38] Generated Node #2: [45, 88, 38] from Operation: 90-52=38 Current State: 95:[45, 88, 38], Operations: ['90-52=38'] Exploring Operation: 45+88=133, Resulting Numbers: [38, 133] Generated Node #3: [38, 133] from Operation: 45+88=133 Current State: 95:[38, 133], Operations: ['90-52=38', '45+88=133'] Exploring Operation: 133-38=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 8, 6, 83, 79 ]
19
[ "83+79=162", "162/6=27", "27-8=19" ]
Current State: 19:[8, 6, 83, 79], Operations: [] Exploring Operation: 83+79=162, Resulting Numbers: [8, 6, 162] Generated Node #2: [8, 6, 162] from Operation: 83+79=162 Current State: 19:[8, 6, 162], Operations: ['83+79=162'] Exploring Operation: 162/6=27, Resulting Numbers: [8, 27] Generated Node #3: [8, 27] from Operation: 162/6=27 Current State: 19:[8, 27], Operations: ['83+79=162', '162/6=27'] Exploring Operation: 27-8=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 4, 23, 2, 58 ]
56
[ "4+23=27", "58/2=29", "27+29=56" ]
Current State: 56:[4, 23, 2, 58], Operations: [] Exploring Operation: 4+23=27, Resulting Numbers: [2, 58, 27] Generated Node #2: [2, 58, 27] from Operation: 4+23=27 Current State: 56:[2, 58, 27], Operations: ['4+23=27'] Exploring Operation: 58/2=29, Resulting Numbers: [27, 29] Generated Node #3: [27, 29] from Operation: 58/2=29 Current State: 56:[27, 29], Operations: ['4+23=27', '58/2=29'] Exploring Operation: 27+29=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 83, 22, 2, 44 ]
82
[ "22*2=44", "44/44=1", "83-1=82" ]
Current State: 82:[83, 22, 2, 44], Operations: [] Exploring Operation: 22*2=44, Resulting Numbers: [83, 44, 44] Generated Node #2: [83, 44, 44] from Operation: 22*2=44 Current State: 82:[83, 44, 44], Operations: ['22*2=44'] Exploring Operation: 44/44=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 44/44=1 Current State: 82:[83, 1], Operations: ['22*2=44', '44/44=1'] Exploring Operation: 83-1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 37, 69, 52, 52 ]
33
[ "69-37=32", "52/52=1", "32+1=33" ]
Current State: 33:[37, 69, 52, 52], Operations: [] Exploring Operation: 69-37=32, Resulting Numbers: [52, 52, 32] Generated Node #2: [52, 52, 32] from Operation: 69-37=32 Current State: 33:[52, 52, 32], Operations: ['69-37=32'] Exploring Operation: 52/52=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 52/52=1 Current State: 33:[32, 1], Operations: ['69-37=32', '52/52=1'] Exploring Operation: 32+1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 43, 39, 99, 66 ]
17
[ "39*66=2574", "2574/99=26", "43-26=17" ]
Current State: 17:[43, 39, 99, 66], Operations: [] Exploring Operation: 39*66=2574, Resulting Numbers: [43, 99, 2574] Generated Node #2: [43, 99, 2574] from Operation: 39*66=2574 Current State: 17:[43, 99, 2574], Operations: ['39*66=2574'] Exploring Operation: 2574/99=26, Resulting Numbers: [43, 26] Generated Node #3: [43, 26] from Operation: 2574/99=26 Current State: 17:[43, 26], Operations: ['39*66=2574', '2574/99=26'] Exploring Operation: 43-26=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 87, 16, 68, 33 ]
36
[ "87-16=71", "68-33=35", "71-35=36" ]
Current State: 36:[87, 16, 68, 33], Operations: [] Exploring Operation: 87-16=71, Resulting Numbers: [68, 33, 71] Generated Node #2: [68, 33, 71] from Operation: 87-16=71 Current State: 36:[68, 33, 71], Operations: ['87-16=71'] Exploring Operation: 68-33=35, Resulting Numbers: [71, 35] Generated Node #3: [71, 35] from Operation: 68-33=35 Current State: 36:[71, 35], Operations: ['87-16=71', '68-33=35'] Exploring Operation: 71-35=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 32, 31, 45, 90 ]
45
[ "32-31=1", "90-45=45", "1*45=45" ]
Current State: 45:[32, 31, 45, 90], Operations: [] Exploring Operation: 32-31=1, Resulting Numbers: [45, 90, 1] Generated Node #2: [45, 90, 1] from Operation: 32-31=1 Current State: 45:[45, 90, 1], Operations: ['32-31=1'] Exploring Operation: 90-45=45, Resulting Numbers: [1, 45] Generated Node #3: [1, 45] from Operation: 90-45=45 Current State: 45:[1, 45], Operations: ['32-31=1', '90-45=45'] Exploring Operation: 1*45=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 48, 37, 41, 61 ]
91
[ "48-37=11", "41+61=102", "102-11=91" ]
Current State: 91:[48, 37, 41, 61], Operations: [] Exploring Operation: 48-37=11, Resulting Numbers: [41, 61, 11] Generated Node #2: [41, 61, 11] from Operation: 48-37=11 Current State: 91:[41, 61, 11], Operations: ['48-37=11'] Exploring Operation: 41+61=102, Resulting Numbers: [11, 102] Generated Node #3: [11, 102] from Operation: 41+61=102 Current State: 91:[11, 102], Operations: ['48-37=11', '41+61=102'] Exploring Operation: 102-11=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 31, 66, 24, 72 ]
83
[ "66-31=35", "72-24=48", "35+48=83" ]
Current State: 83:[31, 66, 24, 72], Operations: [] Exploring Operation: 66-31=35, Resulting Numbers: [24, 72, 35] Generated Node #2: [24, 72, 35] from Operation: 66-31=35 Current State: 83:[24, 72, 35], Operations: ['66-31=35'] Exploring Operation: 72-24=48, Resulting Numbers: [35, 48] Generated Node #3: [35, 48] from Operation: 72-24=48 Current State: 83:[35, 48], Operations: ['66-31=35', '72-24=48'] Exploring Operation: 35+48=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 60, 20, 1, 51 ]
55
[ "60/20=3", "1+51=52", "3+52=55" ]
Current State: 55:[60, 20, 1, 51], Operations: [] Exploring Operation: 60/20=3, Resulting Numbers: [1, 51, 3] Generated Node #2: [1, 51, 3] from Operation: 60/20=3 Current State: 55:[1, 51, 3], Operations: ['60/20=3'] Exploring Operation: 1+51=52, Resulting Numbers: [3, 52] Generated Node #3: [3, 52] from Operation: 1+51=52 Current State: 55:[3, 52], Operations: ['60/20=3', '1+51=52'] Exploring Operation: 3+52=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 75, 11, 3, 75 ]
30
[ "75/75=1", "11-1=10", "3*10=30" ]
Current State: 30:[75, 11, 3, 75], Operations: [] Exploring Operation: 75/75=1, Resulting Numbers: [11, 3, 1] Generated Node #2: [11, 3, 1] from Operation: 75/75=1 Current State: 30:[11, 3, 1], Operations: ['75/75=1'] Exploring Operation: 11-1=10, Resulting Numbers: [3, 10] Generated Node #3: [3, 10] from Operation: 11-1=10 Current State: 30:[3, 10], Operations: ['75/75=1', '11-1=10'] Exploring Operation: 3*10=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 88, 55, 80, 11 ]
82
[ "55-11=44", "88/44=2", "80+2=82" ]
Current State: 82:[88, 55, 80, 11], Operations: [] Exploring Operation: 55-11=44, Resulting Numbers: [88, 80, 44] Generated Node #2: [88, 80, 44] from Operation: 55-11=44 Current State: 82:[88, 80, 44], Operations: ['55-11=44'] Exploring Operation: 88/44=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 88/44=2 Current State: 82:[80, 2], Operations: ['55-11=44', '88/44=2'] Exploring Operation: 80+2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 13, 21, 19, 3 ]
12
[ "13+21=34", "19+3=22", "34-22=12" ]
Current State: 12:[13, 21, 19, 3], Operations: [] Exploring Operation: 13+21=34, Resulting Numbers: [19, 3, 34] Generated Node #2: [19, 3, 34] from Operation: 13+21=34 Current State: 12:[19, 3, 34], Operations: ['13+21=34'] Exploring Operation: 19+3=22, Resulting Numbers: [34, 22] Generated Node #3: [34, 22] from Operation: 19+3=22 Current State: 12:[34, 22], Operations: ['13+21=34', '19+3=22'] Exploring Operation: 34-22=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 53, 13, 91, 37 ]
97
[ "53+37=90", "91/13=7", "90+7=97" ]
Current State: 97:[53, 13, 91, 37], Operations: [] Exploring Operation: 53+37=90, Resulting Numbers: [13, 91, 90] Generated Node #2: [13, 91, 90] from Operation: 53+37=90 Current State: 97:[13, 91, 90], Operations: ['53+37=90'] Exploring Operation: 91/13=7, Resulting Numbers: [90, 7] Generated Node #3: [90, 7] from Operation: 91/13=7 Current State: 97:[90, 7], Operations: ['53+37=90', '91/13=7'] Exploring Operation: 90+7=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 95, 39, 83, 39 ]
100
[ "95-39=56", "83-39=44", "56+44=100" ]
Current State: 100:[95, 39, 83, 39], Operations: [] Exploring Operation: 95-39=56, Resulting Numbers: [83, 56] Generated Node #2: [83, 56] from Operation: 95-39=56 Current State: 100:[83, 56], Operations: ['95-39=56'] Exploring Operation: 83-39=44, Resulting Numbers: [56, 44] Generated Node #3: [56, 44] from Operation: 83-39=44 Current State: 100:[56, 44], Operations: ['95-39=56', '83-39=44'] Exploring Operation: 56+44=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 70, 4, 82, 44 ]
60
[ "70-4=66", "82+44=126", "126-66=60" ]
Current State: 60:[70, 4, 82, 44], Operations: [] Exploring Operation: 70-4=66, Resulting Numbers: [82, 44, 66] Generated Node #2: [82, 44, 66] from Operation: 70-4=66 Current State: 60:[82, 44, 66], Operations: ['70-4=66'] Exploring Operation: 82+44=126, Resulting Numbers: [66, 126] Generated Node #3: [66, 126] from Operation: 82+44=126 Current State: 60:[66, 126], Operations: ['70-4=66', '82+44=126'] Exploring Operation: 126-66=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 36, 63, 50, 38 ]
66
[ "50-38=12", "36/12=3", "63+3=66" ]
Current State: 66:[36, 63, 50, 38], Operations: [] Exploring Operation: 50-38=12, Resulting Numbers: [36, 63, 12] Generated Node #2: [36, 63, 12] from Operation: 50-38=12 Current State: 66:[36, 63, 12], Operations: ['50-38=12'] Exploring Operation: 36/12=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 36/12=3 Current State: 66:[63, 3], Operations: ['50-38=12', '36/12=3'] Exploring Operation: 63+3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 62, 71, 72, 16 ]
72
[ "71-62=9", "16*9=144", "144-72=72" ]
Current State: 72:[62, 71, 72, 16], Operations: [] Exploring Operation: 71-62=9, Resulting Numbers: [72, 16, 9] Generated Node #2: [72, 16, 9] from Operation: 71-62=9 Current State: 72:[72, 16, 9], Operations: ['71-62=9'] Exploring Operation: 16*9=144, Resulting Numbers: [72, 144] Generated Node #3: [72, 144] from Operation: 16*9=144 Current State: 72:[72, 144], Operations: ['71-62=9', '16*9=144'] Exploring Operation: 144-72=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 25, 73, 12, 65 ]
78
[ "25-12=13", "65/13=5", "73+5=78" ]
Current State: 78:[25, 73, 12, 65], Operations: [] Exploring Operation: 25-12=13, Resulting Numbers: [73, 65, 13] Generated Node #2: [73, 65, 13] from Operation: 25-12=13 Current State: 78:[73, 65, 13], Operations: ['25-12=13'] Exploring Operation: 65/13=5, Resulting Numbers: [73, 5] Generated Node #3: [73, 5] from Operation: 65/13=5 Current State: 78:[73, 5], Operations: ['25-12=13', '65/13=5'] Exploring Operation: 73+5=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 74, 97, 41, 15 ]
49
[ "97-74=23", "41-15=26", "23+26=49" ]
Current State: 49:[74, 97, 41, 15], Operations: [] Exploring Operation: 97-74=23, Resulting Numbers: [41, 15, 23] Generated Node #2: [41, 15, 23] from Operation: 97-74=23 Current State: 49:[41, 15, 23], Operations: ['97-74=23'] Exploring Operation: 41-15=26, Resulting Numbers: [23, 26] Generated Node #3: [23, 26] from Operation: 41-15=26 Current State: 49:[23, 26], Operations: ['97-74=23', '41-15=26'] Exploring Operation: 23+26=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 82, 13, 64, 56 ]
61
[ "82-13=69", "64-56=8", "69-8=61" ]
Current State: 61:[82, 13, 64, 56], Operations: [] Exploring Operation: 82-13=69, Resulting Numbers: [64, 56, 69] Generated Node #2: [64, 56, 69] from Operation: 82-13=69 Current State: 61:[64, 56, 69], Operations: ['82-13=69'] Exploring Operation: 64-56=8, Resulting Numbers: [69, 8] Generated Node #3: [69, 8] from Operation: 64-56=8 Current State: 61:[69, 8], Operations: ['82-13=69', '64-56=8'] Exploring Operation: 69-8=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 5, 88, 63, 45 ]
74
[ "5*45=225", "88+63=151", "225-151=74" ]
Current State: 74:[5, 88, 63, 45], Operations: [] Exploring Operation: 5*45=225, Resulting Numbers: [88, 63, 225] Generated Node #2: [88, 63, 225] from Operation: 5*45=225 Current State: 74:[88, 63, 225], Operations: ['5*45=225'] Exploring Operation: 88+63=151, Resulting Numbers: [225, 151] Generated Node #3: [225, 151] from Operation: 88+63=151 Current State: 74:[225, 151], Operations: ['5*45=225', '88+63=151'] Exploring Operation: 225-151=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 67, 61, 2, 84 ]
80
[ "67-61=6", "2+84=86", "86-6=80" ]
Current State: 80:[67, 61, 2, 84], Operations: [] Exploring Operation: 67-61=6, Resulting Numbers: [2, 84, 6] Generated Node #2: [2, 84, 6] from Operation: 67-61=6 Current State: 80:[2, 84, 6], Operations: ['67-61=6'] Exploring Operation: 2+84=86, Resulting Numbers: [6, 86] Generated Node #3: [6, 86] from Operation: 2+84=86 Current State: 80:[6, 86], Operations: ['67-61=6', '2+84=86'] Exploring Operation: 86-6=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 20, 9, 81, 63 ]
54
[ "81-20=61", "63/9=7", "61-7=54" ]
Current State: 54:[20, 9, 81, 63], Operations: [] Exploring Operation: 81-20=61, Resulting Numbers: [9, 63, 61] Generated Node #2: [9, 63, 61] from Operation: 81-20=61 Current State: 54:[9, 63, 61], Operations: ['81-20=61'] Exploring Operation: 63/9=7, Resulting Numbers: [61, 7] Generated Node #3: [61, 7] from Operation: 63/9=7 Current State: 54:[61, 7], Operations: ['81-20=61', '63/9=7'] Exploring Operation: 61-7=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 64, 14, 46, 61 ]
96
[ "64-61=3", "46-14=32", "3*32=96" ]
Current State: 96:[64, 14, 46, 61], Operations: [] Exploring Operation: 64-61=3, Resulting Numbers: [14, 46, 3] Generated Node #2: [14, 46, 3] from Operation: 64-61=3 Current State: 96:[14, 46, 3], Operations: ['64-61=3'] Exploring Operation: 46-14=32, Resulting Numbers: [3, 32] Generated Node #3: [3, 32] from Operation: 46-14=32 Current State: 96:[3, 32], Operations: ['64-61=3', '46-14=32'] Exploring Operation: 3*32=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 92, 77, 31, 94 ]
92
[ "94-92=2", "77-31=46", "2*46=92" ]
Current State: 92:[92, 77, 31, 94], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [77, 31, 2] Generated Node #2: [77, 31, 2] from Operation: 94-92=2 Current State: 92:[77, 31, 2], Operations: ['94-92=2'] Exploring Operation: 77-31=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 77-31=46 Current State: 92:[2, 46], Operations: ['94-92=2', '77-31=46'] Exploring Operation: 2*46=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 39, 7, 2, 91 ]
47
[ "39+7=46", "2+91=93", "93-46=47" ]
Current State: 47:[39, 7, 2, 91], Operations: [] Exploring Operation: 39+7=46, Resulting Numbers: [2, 91, 46] Generated Node #2: [2, 91, 46] from Operation: 39+7=46 Current State: 47:[2, 91, 46], Operations: ['39+7=46'] Exploring Operation: 2+91=93, Resulting Numbers: [46, 93] Generated Node #3: [46, 93] from Operation: 2+91=93 Current State: 47:[46, 93], Operations: ['39+7=46', '2+91=93'] Exploring Operation: 93-46=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 45, 14, 43, 47 ]
15
[ "47-45=2", "14*2=28", "43-28=15" ]
Current State: 15:[45, 14, 43, 47], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [14, 43, 2] Generated Node #2: [14, 43, 2] from Operation: 47-45=2 Current State: 15:[14, 43, 2], Operations: ['47-45=2'] Exploring Operation: 14*2=28, Resulting Numbers: [43, 28] Generated Node #3: [43, 28] from Operation: 14*2=28 Current State: 15:[43, 28], Operations: ['47-45=2', '14*2=28'] Exploring Operation: 43-28=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 7, 4, 82, 2 ]
44
[ "7-4=3", "82/2=41", "3+41=44" ]
Current State: 44:[7, 4, 82, 2], Operations: [] Exploring Operation: 7-4=3, Resulting Numbers: [82, 2, 3] Generated Node #2: [82, 2, 3] from Operation: 7-4=3 Current State: 44:[82, 2, 3], Operations: ['7-4=3'] Exploring Operation: 82/2=41, Resulting Numbers: [3, 41] Generated Node #3: [3, 41] from Operation: 82/2=41 Current State: 44:[3, 41], Operations: ['7-4=3', '82/2=41'] Exploring Operation: 3+41=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 20, 4, 54, 68 ]
32
[ "20+68=88", "88/4=22", "54-22=32" ]
Current State: 32:[20, 4, 54, 68], Operations: [] Exploring Operation: 20+68=88, Resulting Numbers: [4, 54, 88] Generated Node #2: [4, 54, 88] from Operation: 20+68=88 Current State: 32:[4, 54, 88], Operations: ['20+68=88'] Exploring Operation: 88/4=22, Resulting Numbers: [54, 22] Generated Node #3: [54, 22] from Operation: 88/4=22 Current State: 32:[54, 22], Operations: ['20+68=88', '88/4=22'] Exploring Operation: 54-22=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 47, 14, 72, 68 ]
79
[ "47+14=61", "72+68=140", "140-61=79" ]
Current State: 79:[47, 14, 72, 68], Operations: [] Exploring Operation: 47+14=61, Resulting Numbers: [72, 68, 61] Generated Node #2: [72, 68, 61] from Operation: 47+14=61 Current State: 79:[72, 68, 61], Operations: ['47+14=61'] Exploring Operation: 72+68=140, Resulting Numbers: [61, 140] Generated Node #3: [61, 140] from Operation: 72+68=140 Current State: 79:[61, 140], Operations: ['47+14=61', '72+68=140'] Exploring Operation: 140-61=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 62, 7, 65, 58 ]
18
[ "62-58=4", "7+65=72", "72/4=18" ]
Current State: 18:[62, 7, 65, 58], Operations: [] Exploring Operation: 62-58=4, Resulting Numbers: [7, 65, 4] Generated Node #2: [7, 65, 4] from Operation: 62-58=4 Current State: 18:[7, 65, 4], Operations: ['62-58=4'] Exploring Operation: 7+65=72, Resulting Numbers: [4, 72] Generated Node #3: [4, 72] from Operation: 7+65=72 Current State: 18:[4, 72], Operations: ['62-58=4', '7+65=72'] Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 7, 43, 18, 16 ]
18
[ "43-7=36", "18-16=2", "36/2=18" ]
Current State: 18:[7, 43, 18, 16], Operations: [] Exploring Operation: 43-7=36, Resulting Numbers: [18, 16, 36] Generated Node #2: [18, 16, 36] from Operation: 43-7=36 Current State: 18:[18, 16, 36], Operations: ['43-7=36'] Exploring Operation: 18-16=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 18-16=2 Current State: 18:[36, 2], Operations: ['43-7=36', '18-16=2'] Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 36, 3, 76, 19 ]
29
[ "36-3=33", "76/19=4", "33-4=29" ]
Current State: 29:[36, 3, 76, 19], Operations: [] Exploring Operation: 36-3=33, Resulting Numbers: [76, 19, 33] Generated Node #2: [76, 19, 33] from Operation: 36-3=33 Current State: 29:[76, 19, 33], Operations: ['36-3=33'] Exploring Operation: 76/19=4, Resulting Numbers: [33, 4] Generated Node #3: [33, 4] from Operation: 76/19=4 Current State: 29:[33, 4], Operations: ['36-3=33', '76/19=4'] Exploring Operation: 33-4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 40, 10, 72, 37 ]
85
[ "40+10=50", "72-37=35", "50+35=85" ]
Current State: 85:[40, 10, 72, 37], Operations: [] Exploring Operation: 40+10=50, Resulting Numbers: [72, 37, 50] Generated Node #2: [72, 37, 50] from Operation: 40+10=50 Current State: 85:[72, 37, 50], Operations: ['40+10=50'] Exploring Operation: 72-37=35, Resulting Numbers: [50, 35] Generated Node #3: [50, 35] from Operation: 72-37=35 Current State: 85:[50, 35], Operations: ['40+10=50', '72-37=35'] Exploring Operation: 50+35=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 57, 64, 28, 20 ]
19
[ "57*28=1596", "64+20=84", "1596/84=19" ]
Current State: 19:[57, 64, 28, 20], Operations: [] Exploring Operation: 57*28=1596, Resulting Numbers: [64, 20, 1596] Generated Node #2: [64, 20, 1596] from Operation: 57*28=1596 Current State: 19:[64, 20, 1596], Operations: ['57*28=1596'] Exploring Operation: 64+20=84, Resulting Numbers: [1596, 84] Generated Node #3: [1596, 84] from Operation: 64+20=84 Current State: 19:[1596, 84], Operations: ['57*28=1596', '64+20=84'] Exploring Operation: 1596/84=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 10, 69, 34, 80 ]
43
[ "80/10=8", "69-34=35", "8+35=43" ]
Current State: 43:[10, 69, 34, 80], Operations: [] Exploring Operation: 80/10=8, Resulting Numbers: [69, 34, 8] Generated Node #2: [69, 34, 8] from Operation: 80/10=8 Current State: 43:[69, 34, 8], Operations: ['80/10=8'] Exploring Operation: 69-34=35, Resulting Numbers: [8, 35] Generated Node #3: [8, 35] from Operation: 69-34=35 Current State: 43:[8, 35], Operations: ['80/10=8', '69-34=35'] Exploring Operation: 8+35=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 84, 35, 56, 77 ]
98
[ "84+35=119", "77-56=21", "119-21=98" ]
Current State: 98:[84, 35, 56, 77], Operations: [] Exploring Operation: 84+35=119, Resulting Numbers: [56, 77, 119] Generated Node #2: [56, 77, 119] from Operation: 84+35=119 Current State: 98:[56, 77, 119], Operations: ['84+35=119'] Exploring Operation: 77-56=21, Resulting Numbers: [119, 21] Generated Node #3: [119, 21] from Operation: 77-56=21 Current State: 98:[119, 21], Operations: ['84+35=119', '77-56=21'] Exploring Operation: 119-21=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 31, 38, 2, 58 ]
71
[ "58-38=20", "2*20=40", "31+40=71" ]
Current State: 71:[31, 38, 2, 58], Operations: [] Exploring Operation: 58-38=20, Resulting Numbers: [31, 2, 20] Generated Node #2: [31, 2, 20] from Operation: 58-38=20 Current State: 71:[31, 2, 20], Operations: ['58-38=20'] Exploring Operation: 2*20=40, Resulting Numbers: [31, 40] Generated Node #3: [31, 40] from Operation: 2*20=40 Current State: 71:[31, 40], Operations: ['58-38=20', '2*20=40'] Exploring Operation: 31+40=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 16, 59, 24, 13 ]
67
[ "16-13=3", "24/3=8", "59+8=67" ]
Current State: 67:[16, 59, 24, 13], Operations: [] Exploring Operation: 16-13=3, Resulting Numbers: [59, 24, 3] Generated Node #2: [59, 24, 3] from Operation: 16-13=3 Current State: 67:[59, 24, 3], Operations: ['16-13=3'] Exploring Operation: 24/3=8, Resulting Numbers: [59, 8] Generated Node #3: [59, 8] from Operation: 24/3=8 Current State: 67:[59, 8], Operations: ['16-13=3', '24/3=8'] Exploring Operation: 59+8=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 81, 42, 75, 41 ]
34
[ "81-75=6", "42/6=7", "41-7=34" ]
Current State: 34:[81, 42, 75, 41], Operations: [] Exploring Operation: 81-75=6, Resulting Numbers: [42, 41, 6] Generated Node #2: [42, 41, 6] from Operation: 81-75=6 Current State: 34:[42, 41, 6], Operations: ['81-75=6'] Exploring Operation: 42/6=7, Resulting Numbers: [41, 7] Generated Node #3: [41, 7] from Operation: 42/6=7 Current State: 34:[41, 7], Operations: ['81-75=6', '42/6=7'] Exploring Operation: 41-7=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 10, 33, 11, 3 ]
56
[ "33-10=23", "11*3=33", "23+33=56" ]
Current State: 56:[10, 33, 11, 3], Operations: [] Exploring Operation: 33-10=23, Resulting Numbers: [11, 3, 23] Generated Node #2: [11, 3, 23] from Operation: 33-10=23 Current State: 56:[11, 3, 23], Operations: ['33-10=23'] Exploring Operation: 11*3=33, Resulting Numbers: [23, 33] Generated Node #3: [23, 33] from Operation: 11*3=33 Current State: 56:[23, 33], Operations: ['33-10=23', '11*3=33'] Exploring Operation: 23+33=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 53, 12, 79, 2 ]
20
[ "79-53=26", "12/2=6", "26-6=20" ]
Current State: 20:[53, 12, 79, 2], Operations: [] Exploring Operation: 79-53=26, Resulting Numbers: [12, 2, 26] Generated Node #2: [12, 2, 26] from Operation: 79-53=26 Current State: 20:[12, 2, 26], Operations: ['79-53=26'] Exploring Operation: 12/2=6, Resulting Numbers: [26, 6] Generated Node #3: [26, 6] from Operation: 12/2=6 Current State: 20:[26, 6], Operations: ['79-53=26', '12/2=6'] Exploring Operation: 26-6=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 61, 7, 71, 63 ]
66
[ "61+7=68", "71+63=134", "134-68=66" ]
Current State: 66:[61, 7, 71, 63], Operations: [] Exploring Operation: 61+7=68, Resulting Numbers: [71, 63, 68] Generated Node #2: [71, 63, 68] from Operation: 61+7=68 Current State: 66:[71, 63, 68], Operations: ['61+7=68'] Exploring Operation: 71+63=134, Resulting Numbers: [68, 134] Generated Node #3: [68, 134] from Operation: 71+63=134 Current State: 66:[68, 134], Operations: ['61+7=68', '71+63=134'] Exploring Operation: 134-68=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 32, 9, 55, 2 ]
30
[ "32-9=23", "55-2=53", "53-23=30" ]
Current State: 30:[32, 9, 55, 2], Operations: [] Exploring Operation: 32-9=23, Resulting Numbers: [55, 2, 23] Generated Node #2: [55, 2, 23] from Operation: 32-9=23 Current State: 30:[55, 2, 23], Operations: ['32-9=23'] Exploring Operation: 55-2=53, Resulting Numbers: [23, 53] Generated Node #3: [23, 53] from Operation: 55-2=53 Current State: 30:[23, 53], Operations: ['32-9=23', '55-2=53'] Exploring Operation: 53-23=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 76, 75, 96, 70 ]
26
[ "76-75=1", "96-70=26", "1*26=26" ]
Current State: 26:[76, 75, 96, 70], Operations: [] Exploring Operation: 76-75=1, Resulting Numbers: [96, 70, 1] Generated Node #2: [96, 70, 1] from Operation: 76-75=1 Current State: 26:[96, 70, 1], Operations: ['76-75=1'] Exploring Operation: 96-70=26, Resulting Numbers: [1, 26] Generated Node #3: [1, 26] from Operation: 96-70=26 Current State: 26:[1, 26], Operations: ['76-75=1', '96-70=26'] Exploring Operation: 1*26=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 25, 15, 23, 60 ]
29
[ "25-15=10", "60/10=6", "23+6=29" ]
Current State: 29:[25, 15, 23, 60], Operations: [] Exploring Operation: 25-15=10, Resulting Numbers: [23, 60, 10] Generated Node #2: [23, 60, 10] from Operation: 25-15=10 Current State: 29:[23, 60, 10], Operations: ['25-15=10'] Exploring Operation: 60/10=6, Resulting Numbers: [23, 6] Generated Node #3: [23, 6] from Operation: 60/10=6 Current State: 29:[23, 6], Operations: ['25-15=10', '60/10=6'] Exploring Operation: 23+6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 53, 63, 34, 46 ]
22
[ "63-53=10", "46-34=12", "10+12=22" ]
Current State: 22:[53, 63, 34, 46], Operations: [] Exploring Operation: 63-53=10, Resulting Numbers: [34, 46, 10] Generated Node #2: [34, 46, 10] from Operation: 63-53=10 Current State: 22:[34, 46, 10], Operations: ['63-53=10'] Exploring Operation: 46-34=12, Resulting Numbers: [10, 12] Generated Node #3: [10, 12] from Operation: 46-34=12 Current State: 22:[10, 12], Operations: ['63-53=10', '46-34=12'] Exploring Operation: 10+12=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 11, 48, 96, 49 ]
76
[ "49-11=38", "96/48=2", "38*2=76" ]
Current State: 76:[11, 48, 96, 49], Operations: [] Exploring Operation: 49-11=38, Resulting Numbers: [48, 96, 38] Generated Node #2: [48, 96, 38] from Operation: 49-11=38 Current State: 76:[48, 96, 38], Operations: ['49-11=38'] Exploring Operation: 96/48=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 96/48=2 Current State: 76:[38, 2], Operations: ['49-11=38', '96/48=2'] Exploring Operation: 38*2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 33, 62, 8, 26 ]
24
[ "62-33=29", "29-26=3", "8*3=24" ]
Current State: 24:[33, 62, 8, 26], Operations: [] Exploring Operation: 62-33=29, Resulting Numbers: [8, 26, 29] Generated Node #2: [8, 26, 29] from Operation: 62-33=29 Current State: 24:[8, 26, 29], Operations: ['62-33=29'] Exploring Operation: 29-26=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 29-26=3 Current State: 24:[8, 3], Operations: ['62-33=29', '29-26=3'] Exploring Operation: 8*3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 87, 58, 89, 42 ]
98
[ "87+58=145", "89-42=47", "145-47=98" ]
Current State: 98:[87, 58, 89, 42], Operations: [] Exploring Operation: 87+58=145, Resulting Numbers: [89, 42, 145] Generated Node #2: [89, 42, 145] from Operation: 87+58=145 Current State: 98:[89, 42, 145], Operations: ['87+58=145'] Exploring Operation: 89-42=47, Resulting Numbers: [145, 47] Generated Node #3: [145, 47] from Operation: 89-42=47 Current State: 98:[145, 47], Operations: ['87+58=145', '89-42=47'] Exploring Operation: 145-47=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 20, 81, 85, 15 ]
74
[ "20+85=105", "105/15=7", "81-7=74" ]
Current State: 74:[20, 81, 85, 15], Operations: [] Exploring Operation: 20+85=105, Resulting Numbers: [81, 15, 105] Generated Node #2: [81, 15, 105] from Operation: 20+85=105 Current State: 74:[81, 15, 105], Operations: ['20+85=105'] Exploring Operation: 105/15=7, Resulting Numbers: [81, 7] Generated Node #3: [81, 7] from Operation: 105/15=7 Current State: 74:[81, 7], Operations: ['20+85=105', '105/15=7'] Exploring Operation: 81-7=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 75, 16, 8, 14 ]
67
[ "75-14=61", "16*8=128", "128-61=67" ]
Current State: 67:[75, 16, 8, 14], Operations: [] Exploring Operation: 75-14=61, Resulting Numbers: [16, 8, 61] Generated Node #2: [16, 8, 61] from Operation: 75-14=61 Current State: 67:[16, 8, 61], Operations: ['75-14=61'] Exploring Operation: 16*8=128, Resulting Numbers: [61, 128] Generated Node #3: [61, 128] from Operation: 16*8=128 Current State: 67:[61, 128], Operations: ['75-14=61', '16*8=128'] Exploring Operation: 128-61=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 97, 2, 89, 32 ]
22
[ "97+2=99", "89+32=121", "121-99=22" ]
Current State: 22:[97, 2, 89, 32], Operations: [] Exploring Operation: 97+2=99, Resulting Numbers: [89, 32, 99] Generated Node #2: [89, 32, 99] from Operation: 97+2=99 Current State: 22:[89, 32, 99], Operations: ['97+2=99'] Exploring Operation: 89+32=121, Resulting Numbers: [99, 121] Generated Node #3: [99, 121] from Operation: 89+32=121 Current State: 22:[99, 121], Operations: ['97+2=99', '89+32=121'] Exploring Operation: 121-99=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 48, 21, 42, 10 ]
30
[ "48+42=90", "90/10=9", "21+9=30" ]
Current State: 30:[48, 21, 42, 10], Operations: [] Exploring Operation: 48+42=90, Resulting Numbers: [21, 10, 90] Generated Node #2: [21, 10, 90] from Operation: 48+42=90 Current State: 30:[21, 10, 90], Operations: ['48+42=90'] Exploring Operation: 90/10=9, Resulting Numbers: [21, 9] Generated Node #3: [21, 9] from Operation: 90/10=9 Current State: 30:[21, 9], Operations: ['48+42=90', '90/10=9'] Exploring Operation: 21+9=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 1, 4, 73, 61 ]
47
[ "73-61=12", "4*12=48", "48-1=47" ]
Current State: 47:[1, 4, 73, 61], Operations: [] Exploring Operation: 73-61=12, Resulting Numbers: [1, 4, 12] Generated Node #2: [1, 4, 12] from Operation: 73-61=12 Current State: 47:[1, 4, 12], Operations: ['73-61=12'] Exploring Operation: 4*12=48, Resulting Numbers: [1, 48] Generated Node #3: [1, 48] from Operation: 4*12=48 Current State: 47:[1, 48], Operations: ['73-61=12', '4*12=48'] Exploring Operation: 48-1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 17, 15, 19, 45 ]
96
[ "17+15=32", "19+45=64", "32+64=96" ]
Current State: 96:[17, 15, 19, 45], Operations: [] Exploring Operation: 17+15=32, Resulting Numbers: [19, 45, 32] Generated Node #2: [19, 45, 32] from Operation: 17+15=32 Current State: 96:[19, 45, 32], Operations: ['17+15=32'] Exploring Operation: 19+45=64, Resulting Numbers: [32, 64] Generated Node #3: [32, 64] from Operation: 19+45=64 Current State: 96:[32, 64], Operations: ['17+15=32', '19+45=64'] Exploring Operation: 32+64=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 33, 62, 90, 85 ]
19
[ "33+62=95", "90-85=5", "95/5=19" ]
Current State: 19:[33, 62, 90, 85], Operations: [] Exploring Operation: 33+62=95, Resulting Numbers: [90, 85, 95] Generated Node #2: [90, 85, 95] from Operation: 33+62=95 Current State: 19:[90, 85, 95], Operations: ['33+62=95'] Exploring Operation: 90-85=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 90-85=5 Current State: 19:[95, 5], Operations: ['33+62=95', '90-85=5'] Exploring Operation: 95/5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 68, 56, 72, 40 ]
70
[ "68-40=28", "56/28=2", "72-2=70" ]
Current State: 70:[68, 56, 72, 40], Operations: [] Exploring Operation: 68-40=28, Resulting Numbers: [56, 72, 28] Generated Node #2: [56, 72, 28] from Operation: 68-40=28 Current State: 70:[56, 72, 28], Operations: ['68-40=28'] Exploring Operation: 56/28=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 56/28=2 Current State: 70:[72, 2], Operations: ['68-40=28', '56/28=2'] Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 37, 26, 1, 52 ]
36
[ "37+1=38", "52/26=2", "38-2=36" ]
Current State: 36:[37, 26, 1, 52], Operations: [] Exploring Operation: 37+1=38, Resulting Numbers: [26, 52, 38] Generated Node #2: [26, 52, 38] from Operation: 37+1=38 Current State: 36:[26, 52, 38], Operations: ['37+1=38'] Exploring Operation: 52/26=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 52/26=2 Current State: 36:[38, 2], Operations: ['37+1=38', '52/26=2'] Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 80, 8, 22, 94 ]
90
[ "80+8=88", "88/22=4", "94-4=90" ]
Current State: 90:[80, 8, 22, 94], Operations: [] Exploring Operation: 80+8=88, Resulting Numbers: [22, 94, 88] Generated Node #2: [22, 94, 88] from Operation: 80+8=88 Current State: 90:[22, 94, 88], Operations: ['80+8=88'] Exploring Operation: 88/22=4, Resulting Numbers: [94, 4] Generated Node #3: [94, 4] from Operation: 88/22=4 Current State: 90:[94, 4], Operations: ['80+8=88', '88/22=4'] Exploring Operation: 94-4=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 15, 88, 37, 5 ]
31
[ "88-15=73", "37+5=42", "73-42=31" ]
Current State: 31:[15, 88, 37, 5], Operations: [] Exploring Operation: 88-15=73, Resulting Numbers: [37, 5, 73] Generated Node #2: [37, 5, 73] from Operation: 88-15=73 Current State: 31:[37, 5, 73], Operations: ['88-15=73'] Exploring Operation: 37+5=42, Resulting Numbers: [73, 42] Generated Node #3: [73, 42] from Operation: 37+5=42 Current State: 31:[73, 42], Operations: ['88-15=73', '37+5=42'] Exploring Operation: 73-42=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 26, 1, 33, 2 ]
57
[ "26*1=26", "33-2=31", "26+31=57" ]
Current State: 57:[26, 1, 33, 2], Operations: [] Exploring Operation: 26*1=26, Resulting Numbers: [33, 2, 26] Generated Node #2: [33, 2, 26] from Operation: 26*1=26 Current State: 57:[33, 2, 26], Operations: ['26*1=26'] Exploring Operation: 33-2=31, Resulting Numbers: [26, 31] Generated Node #3: [26, 31] from Operation: 33-2=31 Current State: 57:[26, 31], Operations: ['26*1=26', '33-2=31'] Exploring Operation: 26+31=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4