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
[ 60, 27, 59, 41 ]
40
[ "59-41=18", "60*18=1080", "1080/27=40" ]
Current State: 40:[60, 27, 59, 41], Operations: [] Exploring Operation: 59-41=18, Resulting Numbers: [60, 27, 18] Generated Node #2: [60, 27, 18] from Operation: 59-41=18 Current State: 40:[60, 27, 18], Operations: ['59-41=18'] Exploring Operation: 60*18=1080, Resulting Numbers: [27, 1080] Generated Node #3: [27, 1080] from Operation: 60*18=1080 Current State: 40:[27, 1080], Operations: ['59-41=18', '60*18=1080'] Exploring Operation: 1080/27=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 98, 46, 30, 56 ]
58
[ "98+46=144", "30+56=86", "144-86=58" ]
Current State: 58:[98, 46, 30, 56], Operations: [] Exploring Operation: 98+46=144, Resulting Numbers: [30, 56, 144] Generated Node #2: [30, 56, 144] from Operation: 98+46=144 Current State: 58:[30, 56, 144], Operations: ['98+46=144'] Exploring Operation: 30+56=86, Resulting Numbers: [144, 86] Generated Node #3: [144, 86] from Operation: 30+56=86 Current State: 58:[144, 86], Operations: ['98+46=144', '30+56=86'] Exploring Operation: 144-86=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 53, 5, 7, 40 ]
91
[ "53+5=58", "40-7=33", "58+33=91" ]
Current State: 91:[53, 5, 7, 40], Operations: [] Exploring Operation: 53+5=58, Resulting Numbers: [7, 40, 58] Generated Node #2: [7, 40, 58] from Operation: 53+5=58 Current State: 91:[7, 40, 58], Operations: ['53+5=58'] Exploring Operation: 40-7=33, Resulting Numbers: [58, 33] Generated Node #3: [58, 33] from Operation: 40-7=33 Current State: 91:[58, 33], Operations: ['53+5=58', '40-7=33'] Exploring Operation: 58+33=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 40, 50, 38, 19 ]
44
[ "40-38=2", "50/2=25", "19+25=44" ]
Current State: 44:[40, 50, 38, 19], Operations: [] Exploring Operation: 40-38=2, Resulting Numbers: [50, 19, 2] Generated Node #2: [50, 19, 2] from Operation: 40-38=2 Current State: 44:[50, 19, 2], Operations: ['40-38=2'] Exploring Operation: 50/2=25, Resulting Numbers: [19, 25] Generated Node #3: [19, 25] from Operation: 50/2=25 Current State: 44:[19, 25], Operations: ['40-38=2', '50/2=25'] Exploring Operation: 19+25=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 65, 18, 3, 97 ]
44
[ "65-18=47", "3*47=141", "141-97=44" ]
Current State: 44:[65, 18, 3, 97], Operations: [] Exploring Operation: 65-18=47, Resulting Numbers: [3, 97, 47] Generated Node #2: [3, 97, 47] from Operation: 65-18=47 Current State: 44:[3, 97, 47], Operations: ['65-18=47'] Exploring Operation: 3*47=141, Resulting Numbers: [97, 141] Generated Node #3: [97, 141] from Operation: 3*47=141 Current State: 44:[97, 141], Operations: ['65-18=47', '3*47=141'] Exploring Operation: 141-97=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 58, 78, 88, 23 ]
71
[ "58+78=136", "88-23=65", "136-65=71" ]
Current State: 71:[58, 78, 88, 23], Operations: [] Exploring Operation: 58+78=136, Resulting Numbers: [88, 23, 136] Generated Node #2: [88, 23, 136] from Operation: 58+78=136 Current State: 71:[88, 23, 136], Operations: ['58+78=136'] Exploring Operation: 88-23=65, Resulting Numbers: [136, 65] Generated Node #3: [136, 65] from Operation: 88-23=65 Current State: 71:[136, 65], Operations: ['58+78=136', '88-23=65'] Exploring Operation: 136-65=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 78, 74, 84, 96 ]
90
[ "84-78=6", "96/6=16", "74+16=90" ]
Current State: 90:[78, 74, 84, 96], Operations: [] Exploring Operation: 84-78=6, Resulting Numbers: [74, 96, 6] Generated Node #2: [74, 96, 6] from Operation: 84-78=6 Current State: 90:[74, 96, 6], Operations: ['84-78=6'] Exploring Operation: 96/6=16, Resulting Numbers: [74, 16] Generated Node #3: [74, 16] from Operation: 96/6=16 Current State: 90:[74, 16], Operations: ['84-78=6', '96/6=16'] Exploring Operation: 74+16=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 4, 3, 17, 55 ]
39
[ "4-3=1", "55-17=38", "1+38=39" ]
Current State: 39:[4, 3, 17, 55], Operations: [] Exploring Operation: 4-3=1, Resulting Numbers: [17, 55, 1] Generated Node #2: [17, 55, 1] from Operation: 4-3=1 Current State: 39:[17, 55, 1], Operations: ['4-3=1'] Exploring Operation: 55-17=38, Resulting Numbers: [1, 38] Generated Node #3: [1, 38] from Operation: 55-17=38 Current State: 39:[1, 38], Operations: ['4-3=1', '55-17=38'] Exploring Operation: 1+38=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 90, 40, 98, 99 ]
94
[ "98-90=8", "40/8=5", "99-5=94" ]
Current State: 94:[90, 40, 98, 99], Operations: [] Exploring Operation: 98-90=8, Resulting Numbers: [40, 99, 8] Generated Node #2: [40, 99, 8] from Operation: 98-90=8 Current State: 94:[40, 99, 8], Operations: ['98-90=8'] Exploring Operation: 40/8=5, Resulting Numbers: [99, 5] Generated Node #3: [99, 5] from Operation: 40/8=5 Current State: 94:[99, 5], Operations: ['98-90=8', '40/8=5'] Exploring Operation: 99-5=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 4, 84, 98, 28 ]
49
[ "84/4=21", "98-28=70", "70-21=49" ]
Current State: 49:[4, 84, 98, 28], Operations: [] Exploring Operation: 84/4=21, Resulting Numbers: [98, 28, 21] Generated Node #2: [98, 28, 21] from Operation: 84/4=21 Current State: 49:[98, 28, 21], Operations: ['84/4=21'] Exploring Operation: 98-28=70, Resulting Numbers: [21, 70] Generated Node #3: [21, 70] from Operation: 98-28=70 Current State: 49:[21, 70], Operations: ['84/4=21', '98-28=70'] Exploring Operation: 70-21=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 4, 23, 51, 52 ]
15
[ "52/4=13", "51-23=28", "28-13=15" ]
Current State: 15:[4, 23, 51, 52], Operations: [] Exploring Operation: 52/4=13, Resulting Numbers: [23, 51, 13] Generated Node #2: [23, 51, 13] from Operation: 52/4=13 Current State: 15:[23, 51, 13], Operations: ['52/4=13'] Exploring Operation: 51-23=28, Resulting Numbers: [13, 28] Generated Node #3: [13, 28] from Operation: 51-23=28 Current State: 15:[13, 28], Operations: ['52/4=13', '51-23=28'] Exploring Operation: 28-13=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 31, 1, 6, 45 ]
50
[ "31-1=30", "30/6=5", "45+5=50" ]
Current State: 50:[31, 1, 6, 45], Operations: [] Exploring Operation: 31-1=30, Resulting Numbers: [6, 45, 30] Generated Node #2: [6, 45, 30] from Operation: 31-1=30 Current State: 50:[6, 45, 30], Operations: ['31-1=30'] Exploring Operation: 30/6=5, Resulting Numbers: [45, 5] Generated Node #3: [45, 5] from Operation: 30/6=5 Current State: 50:[45, 5], Operations: ['31-1=30', '30/6=5'] Exploring Operation: 45+5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 17, 83, 99, 85 ]
86
[ "17+83=100", "99-85=14", "100-14=86" ]
Current State: 86:[17, 83, 99, 85], Operations: [] Exploring Operation: 17+83=100, Resulting Numbers: [99, 85, 100] Generated Node #2: [99, 85, 100] from Operation: 17+83=100 Current State: 86:[99, 85, 100], Operations: ['17+83=100'] Exploring Operation: 99-85=14, Resulting Numbers: [100, 14] Generated Node #3: [100, 14] from Operation: 99-85=14 Current State: 86:[100, 14], Operations: ['17+83=100', '99-85=14'] Exploring Operation: 100-14=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 39, 92, 91, 93 ]
37
[ "91+93=184", "184/92=2", "39-2=37" ]
Current State: 37:[39, 92, 91, 93], Operations: [] Exploring Operation: 91+93=184, Resulting Numbers: [39, 92, 184] Generated Node #2: [39, 92, 184] from Operation: 91+93=184 Current State: 37:[39, 92, 184], Operations: ['91+93=184'] Exploring Operation: 184/92=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 184/92=2 Current State: 37:[39, 2], Operations: ['91+93=184', '184/92=2'] Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 60, 87, 39, 93 ]
93
[ "60+87=147", "93-39=54", "147-54=93" ]
Current State: 93:[60, 87, 39, 93], Operations: [] Exploring Operation: 60+87=147, Resulting Numbers: [39, 93, 147] Generated Node #2: [39, 93, 147] from Operation: 60+87=147 Current State: 93:[39, 93, 147], Operations: ['60+87=147'] Exploring Operation: 93-39=54, Resulting Numbers: [147, 54] Generated Node #3: [147, 54] from Operation: 93-39=54 Current State: 93:[147, 54], Operations: ['60+87=147', '93-39=54'] Exploring Operation: 147-54=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 13, 29, 30, 31 ]
41
[ "13+29=42", "31-30=1", "42-1=41" ]
Current State: 41:[13, 29, 30, 31], Operations: [] Exploring Operation: 13+29=42, Resulting Numbers: [30, 31, 42] Generated Node #2: [30, 31, 42] from Operation: 13+29=42 Current State: 41:[30, 31, 42], Operations: ['13+29=42'] Exploring Operation: 31-30=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 31-30=1 Current State: 41:[42, 1], Operations: ['13+29=42', '31-30=1'] Exploring Operation: 42-1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 1, 53, 64, 30 ]
18
[ "53-1=52", "64-30=34", "52-34=18" ]
Current State: 18:[1, 53, 64, 30], Operations: [] Exploring Operation: 53-1=52, Resulting Numbers: [64, 30, 52] Generated Node #2: [64, 30, 52] from Operation: 53-1=52 Current State: 18:[64, 30, 52], Operations: ['53-1=52'] Exploring Operation: 64-30=34, Resulting Numbers: [52, 34] Generated Node #3: [52, 34] from Operation: 64-30=34 Current State: 18:[52, 34], Operations: ['53-1=52', '64-30=34'] Exploring Operation: 52-34=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 77, 13, 56, 35 ]
69
[ "77+13=90", "56-35=21", "90-21=69" ]
Current State: 69:[77, 13, 56, 35], Operations: [] Exploring Operation: 77+13=90, Resulting Numbers: [56, 35, 90] Generated Node #2: [56, 35, 90] from Operation: 77+13=90 Current State: 69:[56, 35, 90], Operations: ['77+13=90'] Exploring Operation: 56-35=21, Resulting Numbers: [90, 21] Generated Node #3: [90, 21] from Operation: 56-35=21 Current State: 69:[90, 21], Operations: ['77+13=90', '56-35=21'] Exploring Operation: 90-21=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 58, 29, 3, 68 ]
42
[ "58-29=29", "3+68=71", "71-29=42" ]
Current State: 42:[58, 29, 3, 68], Operations: [] Exploring Operation: 58-29=29, Resulting Numbers: [3, 68, 29] Generated Node #2: [3, 68, 29] from Operation: 58-29=29 Current State: 42:[3, 68, 29], Operations: ['58-29=29'] Exploring Operation: 3+68=71, Resulting Numbers: [29, 71] Generated Node #3: [29, 71] from Operation: 3+68=71 Current State: 42:[29, 71], Operations: ['58-29=29', '3+68=71'] Exploring Operation: 71-29=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 43, 20, 9, 21 ]
27
[ "43+20=63", "9*63=567", "567/21=27" ]
Current State: 27:[43, 20, 9, 21], Operations: [] Exploring Operation: 43+20=63, Resulting Numbers: [9, 21, 63] Generated Node #2: [9, 21, 63] from Operation: 43+20=63 Current State: 27:[9, 21, 63], Operations: ['43+20=63'] Exploring Operation: 9*63=567, Resulting Numbers: [21, 567] Generated Node #3: [21, 567] from Operation: 9*63=567 Current State: 27:[21, 567], Operations: ['43+20=63', '9*63=567'] Exploring Operation: 567/21=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 60, 61, 63, 9 ]
72
[ "61-60=1", "63+9=72", "1*72=72" ]
Current State: 72:[60, 61, 63, 9], Operations: [] Exploring Operation: 61-60=1, Resulting Numbers: [63, 9, 1] Generated Node #2: [63, 9, 1] from Operation: 61-60=1 Current State: 72:[63, 9, 1], Operations: ['61-60=1'] Exploring Operation: 63+9=72, Resulting Numbers: [1, 72] Generated Node #3: [1, 72] from Operation: 63+9=72 Current State: 72:[1, 72], Operations: ['61-60=1', '63+9=72'] Exploring Operation: 1*72=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 84, 55, 87, 80 ]
83
[ "84-55=29", "87/29=3", "80+3=83" ]
Current State: 83:[84, 55, 87, 80], Operations: [] Exploring Operation: 84-55=29, Resulting Numbers: [87, 80, 29] Generated Node #2: [87, 80, 29] from Operation: 84-55=29 Current State: 83:[87, 80, 29], Operations: ['84-55=29'] Exploring Operation: 87/29=3, Resulting Numbers: [80, 3] Generated Node #3: [80, 3] from Operation: 87/29=3 Current State: 83:[80, 3], Operations: ['84-55=29', '87/29=3'] Exploring Operation: 80+3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 43, 96, 32, 25 ]
46
[ "96-43=53", "32-25=7", "53-7=46" ]
Current State: 46:[43, 96, 32, 25], Operations: [] Exploring Operation: 96-43=53, Resulting Numbers: [32, 25, 53] Generated Node #2: [32, 25, 53] from Operation: 96-43=53 Current State: 46:[32, 25, 53], Operations: ['96-43=53'] Exploring Operation: 32-25=7, Resulting Numbers: [53, 7] Generated Node #3: [53, 7] from Operation: 32-25=7 Current State: 46:[53, 7], Operations: ['96-43=53', '32-25=7'] Exploring Operation: 53-7=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 16, 80, 29, 73 ]
52
[ "16+80=96", "73-29=44", "96-44=52" ]
Current State: 52:[16, 80, 29, 73], Operations: [] Exploring Operation: 16+80=96, Resulting Numbers: [29, 73, 96] Generated Node #2: [29, 73, 96] from Operation: 16+80=96 Current State: 52:[29, 73, 96], Operations: ['16+80=96'] Exploring Operation: 73-29=44, Resulting Numbers: [96, 44] Generated Node #3: [96, 44] from Operation: 73-29=44 Current State: 52:[96, 44], Operations: ['16+80=96', '73-29=44'] Exploring Operation: 96-44=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 17, 20, 58, 30 ]
48
[ "20-17=3", "30/3=10", "58-10=48" ]
Current State: 48:[17, 20, 58, 30], Operations: [] Exploring Operation: 20-17=3, Resulting Numbers: [58, 30, 3] Generated Node #2: [58, 30, 3] from Operation: 20-17=3 Current State: 48:[58, 30, 3], Operations: ['20-17=3'] Exploring Operation: 30/3=10, Resulting Numbers: [58, 10] Generated Node #3: [58, 10] from Operation: 30/3=10 Current State: 48:[58, 10], Operations: ['20-17=3', '30/3=10'] Exploring Operation: 58-10=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 22, 68, 32, 3 ]
64
[ "22*3=66", "68-66=2", "32*2=64" ]
Current State: 64:[22, 68, 32, 3], Operations: [] Exploring Operation: 22*3=66, Resulting Numbers: [68, 32, 66] Generated Node #2: [68, 32, 66] from Operation: 22*3=66 Current State: 64:[68, 32, 66], Operations: ['22*3=66'] Exploring Operation: 68-66=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 68-66=2 Current State: 64:[32, 2], Operations: ['22*3=66', '68-66=2'] Exploring Operation: 32*2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 8, 17, 55, 37 ]
83
[ "17-8=9", "55+37=92", "92-9=83" ]
Current State: 83:[8, 17, 55, 37], Operations: [] Exploring Operation: 17-8=9, Resulting Numbers: [55, 37, 9] Generated Node #2: [55, 37, 9] from Operation: 17-8=9 Current State: 83:[55, 37, 9], Operations: ['17-8=9'] Exploring Operation: 55+37=92, Resulting Numbers: [9, 92] Generated Node #3: [9, 92] from Operation: 55+37=92 Current State: 83:[9, 92], Operations: ['17-8=9', '55+37=92'] Exploring Operation: 92-9=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 21, 38, 6, 24 ]
89
[ "21+38=59", "6+24=30", "59+30=89" ]
Current State: 89:[21, 38, 6, 24], Operations: [] Exploring Operation: 21+38=59, Resulting Numbers: [6, 24, 59] Generated Node #2: [6, 24, 59] from Operation: 21+38=59 Current State: 89:[6, 24, 59], Operations: ['21+38=59'] Exploring Operation: 6+24=30, Resulting Numbers: [59, 30] Generated Node #3: [59, 30] from Operation: 6+24=30 Current State: 89:[59, 30], Operations: ['21+38=59', '6+24=30'] Exploring Operation: 59+30=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 83, 32, 94, 48 ]
91
[ "83-32=51", "94+48=142", "142-51=91" ]
Current State: 91:[83, 32, 94, 48], Operations: [] Exploring Operation: 83-32=51, Resulting Numbers: [94, 48, 51] Generated Node #2: [94, 48, 51] from Operation: 83-32=51 Current State: 91:[94, 48, 51], Operations: ['83-32=51'] Exploring Operation: 94+48=142, Resulting Numbers: [51, 142] Generated Node #3: [51, 142] from Operation: 94+48=142 Current State: 91:[51, 142], Operations: ['83-32=51', '94+48=142'] Exploring Operation: 142-51=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 64, 2, 61, 32 ]
90
[ "64-61=3", "32-2=30", "3*30=90" ]
Current State: 90:[64, 2, 61, 32], Operations: [] Exploring Operation: 64-61=3, Resulting Numbers: [2, 32, 3] Generated Node #2: [2, 32, 3] from Operation: 64-61=3 Current State: 90:[2, 32, 3], Operations: ['64-61=3'] Exploring Operation: 32-2=30, Resulting Numbers: [3, 30] Generated Node #3: [3, 30] from Operation: 32-2=30 Current State: 90:[3, 30], Operations: ['64-61=3', '32-2=30'] Exploring Operation: 3*30=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 96, 22, 37, 71 ]
73
[ "96-22=74", "74/37=2", "71+2=73" ]
Current State: 73:[96, 22, 37, 71], Operations: [] Exploring Operation: 96-22=74, Resulting Numbers: [37, 71, 74] Generated Node #2: [37, 71, 74] from Operation: 96-22=74 Current State: 73:[37, 71, 74], Operations: ['96-22=74'] Exploring Operation: 74/37=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 74/37=2 Current State: 73:[71, 2], Operations: ['96-22=74', '74/37=2'] Exploring Operation: 71+2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 36, 2, 54, 78 ]
81
[ "36/2=18", "54/18=3", "78+3=81" ]
Current State: 81:[36, 2, 54, 78], Operations: [] Exploring Operation: 36/2=18, Resulting Numbers: [54, 78, 18] Generated Node #2: [54, 78, 18] from Operation: 36/2=18 Current State: 81:[54, 78, 18], Operations: ['36/2=18'] Exploring Operation: 54/18=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 54/18=3 Current State: 81:[78, 3], Operations: ['36/2=18', '54/18=3'] Exploring Operation: 78+3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 52, 25, 28, 24 ]
60
[ "28-25=3", "24/3=8", "52+8=60" ]
Current State: 60:[52, 25, 28, 24], Operations: [] Exploring Operation: 28-25=3, Resulting Numbers: [52, 24, 3] Generated Node #2: [52, 24, 3] from Operation: 28-25=3 Current State: 60:[52, 24, 3], Operations: ['28-25=3'] Exploring Operation: 24/3=8, Resulting Numbers: [52, 8] Generated Node #3: [52, 8] from Operation: 24/3=8 Current State: 60:[52, 8], Operations: ['28-25=3', '24/3=8'] Exploring Operation: 52+8=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 81, 97, 3, 81 ]
32
[ "81/81=1", "97-1=96", "96/3=32" ]
Current State: 32:[81, 97, 3, 81], Operations: [] Exploring Operation: 81/81=1, Resulting Numbers: [97, 3, 1] Generated Node #2: [97, 3, 1] from Operation: 81/81=1 Current State: 32:[97, 3, 1], Operations: ['81/81=1'] Exploring Operation: 97-1=96, Resulting Numbers: [3, 96] Generated Node #3: [3, 96] from Operation: 97-1=96 Current State: 32:[3, 96], Operations: ['81/81=1', '97-1=96'] Exploring Operation: 96/3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 39, 27, 85, 34 ]
53
[ "39+27=66", "85+34=119", "119-66=53" ]
Current State: 53:[39, 27, 85, 34], Operations: [] Exploring Operation: 39+27=66, Resulting Numbers: [85, 34, 66] Generated Node #2: [85, 34, 66] from Operation: 39+27=66 Current State: 53:[85, 34, 66], Operations: ['39+27=66'] Exploring Operation: 85+34=119, Resulting Numbers: [66, 119] Generated Node #3: [66, 119] from Operation: 85+34=119 Current State: 53:[66, 119], Operations: ['39+27=66', '85+34=119'] Exploring Operation: 119-66=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 12, 3, 89, 3 ]
44
[ "12+3=15", "3*15=45", "89-45=44" ]
Current State: 44:[12, 3, 89, 3], Operations: [] Exploring Operation: 12+3=15, Resulting Numbers: [89, 15] Generated Node #2: [89, 15] from Operation: 12+3=15 Current State: 44:[89, 15], Operations: ['12+3=15'] Exploring Operation: 3*15=45, Resulting Numbers: [89, 45] Generated Node #3: [89, 45] from Operation: 3*15=45 Current State: 44:[89, 45], Operations: ['12+3=15', '3*15=45'] Exploring Operation: 89-45=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 4, 52, 57, 94 ]
85
[ "52-4=48", "94-57=37", "48+37=85" ]
Current State: 85:[4, 52, 57, 94], Operations: [] Exploring Operation: 52-4=48, Resulting Numbers: [57, 94, 48] Generated Node #2: [57, 94, 48] from Operation: 52-4=48 Current State: 85:[57, 94, 48], Operations: ['52-4=48'] Exploring Operation: 94-57=37, Resulting Numbers: [48, 37] Generated Node #3: [48, 37] from Operation: 94-57=37 Current State: 85:[48, 37], Operations: ['52-4=48', '94-57=37'] Exploring Operation: 48+37=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 6, 30, 98, 27 ]
96
[ "30-27=3", "6/3=2", "98-2=96" ]
Current State: 96:[6, 30, 98, 27], Operations: [] Exploring Operation: 30-27=3, Resulting Numbers: [6, 98, 3] Generated Node #2: [6, 98, 3] from Operation: 30-27=3 Current State: 96:[6, 98, 3], Operations: ['30-27=3'] Exploring Operation: 6/3=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 6/3=2 Current State: 96:[98, 2], Operations: ['30-27=3', '6/3=2'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 13, 75, 48, 1 ]
13
[ "75-13=62", "48+1=49", "62-49=13" ]
Current State: 13:[13, 75, 48, 1], Operations: [] Exploring Operation: 75-13=62, Resulting Numbers: [48, 1, 62] Generated Node #2: [48, 1, 62] from Operation: 75-13=62 Current State: 13:[48, 1, 62], Operations: ['75-13=62'] Exploring Operation: 48+1=49, Resulting Numbers: [62, 49] Generated Node #3: [62, 49] from Operation: 48+1=49 Current State: 13:[62, 49], Operations: ['75-13=62', '48+1=49'] Exploring Operation: 62-49=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 87, 7, 2, 15 ]
93
[ "87-7=80", "15-2=13", "80+13=93" ]
Current State: 93:[87, 7, 2, 15], Operations: [] Exploring Operation: 87-7=80, Resulting Numbers: [2, 15, 80] Generated Node #2: [2, 15, 80] from Operation: 87-7=80 Current State: 93:[2, 15, 80], Operations: ['87-7=80'] Exploring Operation: 15-2=13, Resulting Numbers: [80, 13] Generated Node #3: [80, 13] from Operation: 15-2=13 Current State: 93:[80, 13], Operations: ['87-7=80', '15-2=13'] Exploring Operation: 80+13=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 69, 4, 71, 18 ]
69
[ "4*18=72", "72-71=1", "69*1=69" ]
Current State: 69:[69, 4, 71, 18], Operations: [] Exploring Operation: 4*18=72, Resulting Numbers: [69, 71, 72] Generated Node #2: [69, 71, 72] from Operation: 4*18=72 Current State: 69:[69, 71, 72], Operations: ['4*18=72'] Exploring Operation: 72-71=1, Resulting Numbers: [69, 1] Generated Node #3: [69, 1] from Operation: 72-71=1 Current State: 69:[69, 1], Operations: ['4*18=72', '72-71=1'] Exploring Operation: 69*1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 5, 22, 5, 50 ]
17
[ "5+22=27", "50/5=10", "27-10=17" ]
Current State: 17:[5, 22, 5, 50], Operations: [] Exploring Operation: 5+22=27, Resulting Numbers: [50, 27] Generated Node #2: [50, 27] from Operation: 5+22=27 Current State: 17:[50, 27], Operations: ['5+22=27'] Exploring Operation: 50/5=10, Resulting Numbers: [27, 10] Generated Node #3: [27, 10] from Operation: 50/5=10 Current State: 17:[27, 10], Operations: ['5+22=27', '50/5=10'] Exploring Operation: 27-10=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 3, 43, 95, 16 ]
38
[ "43-3=40", "95*16=1520", "1520/40=38" ]
Current State: 38:[3, 43, 95, 16], Operations: [] Exploring Operation: 43-3=40, Resulting Numbers: [95, 16, 40] Generated Node #2: [95, 16, 40] from Operation: 43-3=40 Current State: 38:[95, 16, 40], Operations: ['43-3=40'] Exploring Operation: 95*16=1520, Resulting Numbers: [40, 1520] Generated Node #3: [40, 1520] from Operation: 95*16=1520 Current State: 38:[40, 1520], Operations: ['43-3=40', '95*16=1520'] Exploring Operation: 1520/40=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 23, 2, 22, 44 ]
78
[ "23+44=67", "22/2=11", "67+11=78" ]
Current State: 78:[23, 2, 22, 44], Operations: [] Exploring Operation: 23+44=67, Resulting Numbers: [2, 22, 67] Generated Node #2: [2, 22, 67] from Operation: 23+44=67 Current State: 78:[2, 22, 67], Operations: ['23+44=67'] Exploring Operation: 22/2=11, Resulting Numbers: [67, 11] Generated Node #3: [67, 11] from Operation: 22/2=11 Current State: 78:[67, 11], Operations: ['23+44=67', '22/2=11'] Exploring Operation: 67+11=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 13, 19, 48, 67 ]
14
[ "19+48=67", "67/67=1", "13+1=14" ]
Current State: 14:[13, 19, 48, 67], Operations: [] Exploring Operation: 19+48=67, Resulting Numbers: [13, 67, 67] Generated Node #2: [13, 67, 67] from Operation: 19+48=67 Current State: 14:[13, 67, 67], Operations: ['19+48=67'] Exploring Operation: 67/67=1, Resulting Numbers: [13, 1] Generated Node #3: [13, 1] from Operation: 67/67=1 Current State: 14:[13, 1], Operations: ['19+48=67', '67/67=1'] Exploring Operation: 13+1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 83, 36, 36, 9 ]
74
[ "83+36=119", "36+9=45", "119-45=74" ]
Current State: 74:[83, 36, 36, 9], Operations: [] Exploring Operation: 83+36=119, Resulting Numbers: [9, 119] Generated Node #2: [9, 119] from Operation: 83+36=119 Current State: 74:[9, 119], Operations: ['83+36=119'] Exploring Operation: 36+9=45, Resulting Numbers: [119, 45] Generated Node #3: [119, 45] from Operation: 36+9=45 Current State: 74:[119, 45], Operations: ['83+36=119', '36+9=45'] Exploring Operation: 119-45=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 97, 33, 67, 97 ]
33
[ "97-97=0", "67*0=0", "33+0=33" ]
Current State: 33:[97, 33, 67, 97], Operations: [] Exploring Operation: 97-97=0, Resulting Numbers: [33, 67, 0] Generated Node #2: [33, 67, 0] from Operation: 97-97=0 Current State: 33:[33, 67, 0], Operations: ['97-97=0'] Exploring Operation: 67*0=0, Resulting Numbers: [33, 0] Generated Node #3: [33, 0] from Operation: 67*0=0 Current State: 33:[33, 0], Operations: ['97-97=0', '67*0=0'] Exploring Operation: 33+0=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 1, 48, 2, 70 ]
10
[ "70-48=22", "22/2=11", "11-1=10" ]
Current State: 10:[1, 48, 2, 70], Operations: [] Exploring Operation: 70-48=22, Resulting Numbers: [1, 2, 22] Generated Node #2: [1, 2, 22] from Operation: 70-48=22 Current State: 10:[1, 2, 22], Operations: ['70-48=22'] Exploring Operation: 22/2=11, Resulting Numbers: [1, 11] Generated Node #3: [1, 11] from Operation: 22/2=11 Current State: 10:[1, 11], Operations: ['70-48=22', '22/2=11'] Exploring Operation: 11-1=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 69, 94, 68, 94 ]
69
[ "94-94=0", "68*0=0", "69+0=69" ]
Current State: 69:[69, 94, 68, 94], Operations: [] Exploring Operation: 94-94=0, Resulting Numbers: [69, 68, 0] Generated Node #2: [69, 68, 0] from Operation: 94-94=0 Current State: 69:[69, 68, 0], Operations: ['94-94=0'] Exploring Operation: 68*0=0, Resulting Numbers: [69, 0] Generated Node #3: [69, 0] from Operation: 68*0=0 Current State: 69:[69, 0], Operations: ['94-94=0', '68*0=0'] Exploring Operation: 69+0=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 6, 60, 64, 8 ]
10
[ "6+60=66", "64-8=56", "66-56=10" ]
Current State: 10:[6, 60, 64, 8], Operations: [] Exploring Operation: 6+60=66, Resulting Numbers: [64, 8, 66] Generated Node #2: [64, 8, 66] from Operation: 6+60=66 Current State: 10:[64, 8, 66], Operations: ['6+60=66'] Exploring Operation: 64-8=56, Resulting Numbers: [66, 56] Generated Node #3: [66, 56] from Operation: 64-8=56 Current State: 10:[66, 56], Operations: ['6+60=66', '64-8=56'] Exploring Operation: 66-56=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 29, 74, 7, 71 ]
33
[ "74-29=45", "7+71=78", "78-45=33" ]
Current State: 33:[29, 74, 7, 71], Operations: [] Exploring Operation: 74-29=45, Resulting Numbers: [7, 71, 45] Generated Node #2: [7, 71, 45] from Operation: 74-29=45 Current State: 33:[7, 71, 45], Operations: ['74-29=45'] Exploring Operation: 7+71=78, Resulting Numbers: [45, 78] Generated Node #3: [45, 78] from Operation: 7+71=78 Current State: 33:[45, 78], Operations: ['74-29=45', '7+71=78'] Exploring Operation: 78-45=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 2, 34, 33, 4 ]
43
[ "34+4=38", "2*38=76", "76-33=43" ]
Current State: 43:[2, 34, 33, 4], Operations: [] Exploring Operation: 34+4=38, Resulting Numbers: [2, 33, 38] Generated Node #2: [2, 33, 38] from Operation: 34+4=38 Current State: 43:[2, 33, 38], Operations: ['34+4=38'] Exploring Operation: 2*38=76, Resulting Numbers: [33, 76] Generated Node #3: [33, 76] from Operation: 2*38=76 Current State: 43:[33, 76], Operations: ['34+4=38', '2*38=76'] Exploring Operation: 76-33=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 85, 35, 81, 55 ]
80
[ "85-81=4", "55-35=20", "4*20=80" ]
Current State: 80:[85, 35, 81, 55], Operations: [] Exploring Operation: 85-81=4, Resulting Numbers: [35, 55, 4] Generated Node #2: [35, 55, 4] from Operation: 85-81=4 Current State: 80:[35, 55, 4], Operations: ['85-81=4'] Exploring Operation: 55-35=20, Resulting Numbers: [4, 20] Generated Node #3: [4, 20] from Operation: 55-35=20 Current State: 80:[4, 20], Operations: ['85-81=4', '55-35=20'] Exploring Operation: 4*20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 77, 78, 89, 6 ]
84
[ "78-77=1", "89-6=83", "1+83=84" ]
Current State: 84:[77, 78, 89, 6], Operations: [] Exploring Operation: 78-77=1, Resulting Numbers: [89, 6, 1] Generated Node #2: [89, 6, 1] from Operation: 78-77=1 Current State: 84:[89, 6, 1], Operations: ['78-77=1'] Exploring Operation: 89-6=83, Resulting Numbers: [1, 83] Generated Node #3: [1, 83] from Operation: 89-6=83 Current State: 84:[1, 83], Operations: ['78-77=1', '89-6=83'] Exploring Operation: 1+83=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 26, 21, 60, 41 ]
14
[ "26-21=5", "60-41=19", "19-5=14" ]
Current State: 14:[26, 21, 60, 41], Operations: [] Exploring Operation: 26-21=5, Resulting Numbers: [60, 41, 5] Generated Node #2: [60, 41, 5] from Operation: 26-21=5 Current State: 14:[60, 41, 5], Operations: ['26-21=5'] Exploring Operation: 60-41=19, Resulting Numbers: [5, 19] Generated Node #3: [5, 19] from Operation: 60-41=19 Current State: 14:[5, 19], Operations: ['26-21=5', '60-41=19'] Exploring Operation: 19-5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 45, 52, 90, 20 ]
62
[ "90/45=2", "20/2=10", "52+10=62" ]
Current State: 62:[45, 52, 90, 20], Operations: [] Exploring Operation: 90/45=2, Resulting Numbers: [52, 20, 2] Generated Node #2: [52, 20, 2] from Operation: 90/45=2 Current State: 62:[52, 20, 2], Operations: ['90/45=2'] Exploring Operation: 20/2=10, Resulting Numbers: [52, 10] Generated Node #3: [52, 10] from Operation: 20/2=10 Current State: 62:[52, 10], Operations: ['90/45=2', '20/2=10'] Exploring Operation: 52+10=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 48, 37, 26, 2 ]
74
[ "48*37=1776", "26-2=24", "1776/24=74" ]
Current State: 74:[48, 37, 26, 2], Operations: [] Exploring Operation: 48*37=1776, Resulting Numbers: [26, 2, 1776] Generated Node #2: [26, 2, 1776] from Operation: 48*37=1776 Current State: 74:[26, 2, 1776], Operations: ['48*37=1776'] Exploring Operation: 26-2=24, Resulting Numbers: [1776, 24] Generated Node #3: [1776, 24] from Operation: 26-2=24 Current State: 74:[1776, 24], Operations: ['48*37=1776', '26-2=24'] Exploring Operation: 1776/24=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 11, 31, 51, 29 ]
20
[ "11+31=42", "51-29=22", "42-22=20" ]
Current State: 20:[11, 31, 51, 29], Operations: [] Exploring Operation: 11+31=42, Resulting Numbers: [51, 29, 42] Generated Node #2: [51, 29, 42] from Operation: 11+31=42 Current State: 20:[51, 29, 42], Operations: ['11+31=42'] Exploring Operation: 51-29=22, Resulting Numbers: [42, 22] Generated Node #3: [42, 22] from Operation: 51-29=22 Current State: 20:[42, 22], Operations: ['11+31=42', '51-29=22'] Exploring Operation: 42-22=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 36, 75, 25, 6 ]
39
[ "36+75=111", "25*6=150", "150-111=39" ]
Current State: 39:[36, 75, 25, 6], Operations: [] Exploring Operation: 36+75=111, Resulting Numbers: [25, 6, 111] Generated Node #2: [25, 6, 111] from Operation: 36+75=111 Current State: 39:[25, 6, 111], Operations: ['36+75=111'] Exploring Operation: 25*6=150, Resulting Numbers: [111, 150] Generated Node #3: [111, 150] from Operation: 25*6=150 Current State: 39:[111, 150], Operations: ['36+75=111', '25*6=150'] Exploring Operation: 150-111=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 10, 17, 36, 63 ]
18
[ "10*63=630", "17*36=612", "630-612=18" ]
Current State: 18:[10, 17, 36, 63], Operations: [] Exploring Operation: 10*63=630, Resulting Numbers: [17, 36, 630] Generated Node #2: [17, 36, 630] from Operation: 10*63=630 Current State: 18:[17, 36, 630], Operations: ['10*63=630'] Exploring Operation: 17*36=612, Resulting Numbers: [630, 612] Generated Node #3: [630, 612] from Operation: 17*36=612 Current State: 18:[630, 612], Operations: ['10*63=630', '17*36=612'] Exploring Operation: 630-612=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 4, 3, 31, 34 ]
83
[ "4+34=38", "3*38=114", "114-31=83" ]
Current State: 83:[4, 3, 31, 34], Operations: [] Exploring Operation: 4+34=38, Resulting Numbers: [3, 31, 38] Generated Node #2: [3, 31, 38] from Operation: 4+34=38 Current State: 83:[3, 31, 38], Operations: ['4+34=38'] Exploring Operation: 3*38=114, Resulting Numbers: [31, 114] Generated Node #3: [31, 114] from Operation: 3*38=114 Current State: 83:[31, 114], Operations: ['4+34=38', '3*38=114'] Exploring Operation: 114-31=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 34, 37, 99, 84 ]
88
[ "37+99=136", "136/34=4", "84+4=88" ]
Current State: 88:[34, 37, 99, 84], Operations: [] Exploring Operation: 37+99=136, Resulting Numbers: [34, 84, 136] Generated Node #2: [34, 84, 136] from Operation: 37+99=136 Current State: 88:[34, 84, 136], Operations: ['37+99=136'] Exploring Operation: 136/34=4, Resulting Numbers: [84, 4] Generated Node #3: [84, 4] from Operation: 136/34=4 Current State: 88:[84, 4], Operations: ['37+99=136', '136/34=4'] Exploring Operation: 84+4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 61, 4, 49, 23 ]
28
[ "61+23=84", "84/4=21", "49-21=28" ]
Current State: 28:[61, 4, 49, 23], Operations: [] Exploring Operation: 61+23=84, Resulting Numbers: [4, 49, 84] Generated Node #2: [4, 49, 84] from Operation: 61+23=84 Current State: 28:[4, 49, 84], Operations: ['61+23=84'] Exploring Operation: 84/4=21, Resulting Numbers: [49, 21] Generated Node #3: [49, 21] from Operation: 84/4=21 Current State: 28:[49, 21], Operations: ['61+23=84', '84/4=21'] Exploring Operation: 49-21=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 96, 84, 63, 28 ]
80
[ "96+84=180", "28*180=5040", "5040/63=80" ]
Current State: 80:[96, 84, 63, 28], Operations: [] Exploring Operation: 96+84=180, Resulting Numbers: [63, 28, 180] Generated Node #2: [63, 28, 180] from Operation: 96+84=180 Current State: 80:[63, 28, 180], Operations: ['96+84=180'] Exploring Operation: 28*180=5040, Resulting Numbers: [63, 5040] Generated Node #3: [63, 5040] from Operation: 28*180=5040 Current State: 80:[63, 5040], Operations: ['96+84=180', '28*180=5040'] Exploring Operation: 5040/63=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 67, 26, 39, 24 ]
51
[ "26*24=624", "624/39=16", "67-16=51" ]
Current State: 51:[67, 26, 39, 24], Operations: [] Exploring Operation: 26*24=624, Resulting Numbers: [67, 39, 624] Generated Node #2: [67, 39, 624] from Operation: 26*24=624 Current State: 51:[67, 39, 624], Operations: ['26*24=624'] Exploring Operation: 624/39=16, Resulting Numbers: [67, 16] Generated Node #3: [67, 16] from Operation: 624/39=16 Current State: 51:[67, 16], Operations: ['26*24=624', '624/39=16'] Exploring Operation: 67-16=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 38, 8, 41, 6 ]
60
[ "8-6=2", "38/2=19", "41+19=60" ]
Current State: 60:[38, 8, 41, 6], Operations: [] Exploring Operation: 8-6=2, Resulting Numbers: [38, 41, 2] Generated Node #2: [38, 41, 2] from Operation: 8-6=2 Current State: 60:[38, 41, 2], Operations: ['8-6=2'] Exploring Operation: 38/2=19, Resulting Numbers: [41, 19] Generated Node #3: [41, 19] from Operation: 38/2=19 Current State: 60:[41, 19], Operations: ['8-6=2', '38/2=19'] Exploring Operation: 41+19=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 60, 99, 39, 42 ]
93
[ "42-39=3", "99/3=33", "60+33=93" ]
Current State: 93:[60, 99, 39, 42], Operations: [] Exploring Operation: 42-39=3, Resulting Numbers: [60, 99, 3] Generated Node #2: [60, 99, 3] from Operation: 42-39=3 Current State: 93:[60, 99, 3], Operations: ['42-39=3'] Exploring Operation: 99/3=33, Resulting Numbers: [60, 33] Generated Node #3: [60, 33] from Operation: 99/3=33 Current State: 93:[60, 33], Operations: ['42-39=3', '99/3=33'] Exploring Operation: 60+33=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 96, 42, 40, 4 ]
22
[ "96+42=138", "40*4=160", "160-138=22" ]
Current State: 22:[96, 42, 40, 4], Operations: [] Exploring Operation: 96+42=138, Resulting Numbers: [40, 4, 138] Generated Node #2: [40, 4, 138] from Operation: 96+42=138 Current State: 22:[40, 4, 138], Operations: ['96+42=138'] Exploring Operation: 40*4=160, Resulting Numbers: [138, 160] Generated Node #3: [138, 160] from Operation: 40*4=160 Current State: 22:[138, 160], Operations: ['96+42=138', '40*4=160'] Exploring Operation: 160-138=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 59, 84, 48, 49 ]
72
[ "84-59=25", "48+49=97", "97-25=72" ]
Current State: 72:[59, 84, 48, 49], Operations: [] Exploring Operation: 84-59=25, Resulting Numbers: [48, 49, 25] Generated Node #2: [48, 49, 25] from Operation: 84-59=25 Current State: 72:[48, 49, 25], Operations: ['84-59=25'] Exploring Operation: 48+49=97, Resulting Numbers: [25, 97] Generated Node #3: [25, 97] from Operation: 48+49=97 Current State: 72:[25, 97], Operations: ['84-59=25', '48+49=97'] Exploring Operation: 97-25=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 76, 6, 89, 48 ]
67
[ "76-6=70", "89+48=137", "137-70=67" ]
Current State: 67:[76, 6, 89, 48], Operations: [] Exploring Operation: 76-6=70, Resulting Numbers: [89, 48, 70] Generated Node #2: [89, 48, 70] from Operation: 76-6=70 Current State: 67:[89, 48, 70], Operations: ['76-6=70'] Exploring Operation: 89+48=137, Resulting Numbers: [70, 137] Generated Node #3: [70, 137] from Operation: 89+48=137 Current State: 67:[70, 137], Operations: ['76-6=70', '89+48=137'] Exploring Operation: 137-70=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 47, 39, 3, 5 ]
29
[ "47-39=8", "3*8=24", "5+24=29" ]
Current State: 29:[47, 39, 3, 5], Operations: [] Exploring Operation: 47-39=8, Resulting Numbers: [3, 5, 8] Generated Node #2: [3, 5, 8] from Operation: 47-39=8 Current State: 29:[3, 5, 8], Operations: ['47-39=8'] Exploring Operation: 3*8=24, Resulting Numbers: [5, 24] Generated Node #3: [5, 24] from Operation: 3*8=24 Current State: 29:[5, 24], Operations: ['47-39=8', '3*8=24'] Exploring Operation: 5+24=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 36, 13, 12, 3 ]
27
[ "36-13=23", "12/3=4", "23+4=27" ]
Current State: 27:[36, 13, 12, 3], Operations: [] Exploring Operation: 36-13=23, Resulting Numbers: [12, 3, 23] Generated Node #2: [12, 3, 23] from Operation: 36-13=23 Current State: 27:[12, 3, 23], Operations: ['36-13=23'] Exploring Operation: 12/3=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 12/3=4 Current State: 27:[23, 4], Operations: ['36-13=23', '12/3=4'] Exploring Operation: 23+4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 50, 37, 70, 82 ]
63
[ "82-37=45", "70*45=3150", "3150/50=63" ]
Current State: 63:[50, 37, 70, 82], Operations: [] Exploring Operation: 82-37=45, Resulting Numbers: [50, 70, 45] Generated Node #2: [50, 70, 45] from Operation: 82-37=45 Current State: 63:[50, 70, 45], Operations: ['82-37=45'] Exploring Operation: 70*45=3150, Resulting Numbers: [50, 3150] Generated Node #3: [50, 3150] from Operation: 70*45=3150 Current State: 63:[50, 3150], Operations: ['82-37=45', '70*45=3150'] Exploring Operation: 3150/50=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 30, 84, 39, 10 ]
83
[ "84-30=54", "39-10=29", "54+29=83" ]
Current State: 83:[30, 84, 39, 10], Operations: [] Exploring Operation: 84-30=54, Resulting Numbers: [39, 10, 54] Generated Node #2: [39, 10, 54] from Operation: 84-30=54 Current State: 83:[39, 10, 54], Operations: ['84-30=54'] Exploring Operation: 39-10=29, Resulting Numbers: [54, 29] Generated Node #3: [54, 29] from Operation: 39-10=29 Current State: 83:[54, 29], Operations: ['84-30=54', '39-10=29'] Exploring Operation: 54+29=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 45, 24, 44, 87 ]
72
[ "45+87=132", "24*132=3168", "3168/44=72" ]
Current State: 72:[45, 24, 44, 87], Operations: [] Exploring Operation: 45+87=132, Resulting Numbers: [24, 44, 132] Generated Node #2: [24, 44, 132] from Operation: 45+87=132 Current State: 72:[24, 44, 132], Operations: ['45+87=132'] Exploring Operation: 24*132=3168, Resulting Numbers: [44, 3168] Generated Node #3: [44, 3168] from Operation: 24*132=3168 Current State: 72:[44, 3168], Operations: ['45+87=132', '24*132=3168'] Exploring Operation: 3168/44=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 86, 75, 64, 3 ]
97
[ "86-75=11", "3*11=33", "64+33=97" ]
Current State: 97:[86, 75, 64, 3], Operations: [] Exploring Operation: 86-75=11, Resulting Numbers: [64, 3, 11] Generated Node #2: [64, 3, 11] from Operation: 86-75=11 Current State: 97:[64, 3, 11], Operations: ['86-75=11'] Exploring Operation: 3*11=33, Resulting Numbers: [64, 33] Generated Node #3: [64, 33] from Operation: 3*11=33 Current State: 97:[64, 33], Operations: ['86-75=11', '3*11=33'] Exploring Operation: 64+33=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 4, 77, 78, 70 ]
45
[ "78-70=8", "4*8=32", "77-32=45" ]
Current State: 45:[4, 77, 78, 70], Operations: [] Exploring Operation: 78-70=8, Resulting Numbers: [4, 77, 8] Generated Node #2: [4, 77, 8] from Operation: 78-70=8 Current State: 45:[4, 77, 8], Operations: ['78-70=8'] Exploring Operation: 4*8=32, Resulting Numbers: [77, 32] Generated Node #3: [77, 32] from Operation: 4*8=32 Current State: 45:[77, 32], Operations: ['78-70=8', '4*8=32'] Exploring Operation: 77-32=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 23, 69, 59, 94 ]
38
[ "69/23=3", "94-59=35", "3+35=38" ]
Current State: 38:[23, 69, 59, 94], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [59, 94, 3] Generated Node #2: [59, 94, 3] from Operation: 69/23=3 Current State: 38:[59, 94, 3], Operations: ['69/23=3'] Exploring Operation: 94-59=35, Resulting Numbers: [3, 35] Generated Node #3: [3, 35] from Operation: 94-59=35 Current State: 38:[3, 35], Operations: ['69/23=3', '94-59=35'] Exploring Operation: 3+35=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 51, 39, 2, 6 ]
64
[ "39*2=78", "78/6=13", "51+13=64" ]
Current State: 64:[51, 39, 2, 6], Operations: [] Exploring Operation: 39*2=78, Resulting Numbers: [51, 6, 78] Generated Node #2: [51, 6, 78] from Operation: 39*2=78 Current State: 64:[51, 6, 78], Operations: ['39*2=78'] Exploring Operation: 78/6=13, Resulting Numbers: [51, 13] Generated Node #3: [51, 13] from Operation: 78/6=13 Current State: 64:[51, 13], Operations: ['39*2=78', '78/6=13'] Exploring Operation: 51+13=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 26, 70, 54, 62 ]
88
[ "26+70=96", "62-54=8", "96-8=88" ]
Current State: 88:[26, 70, 54, 62], Operations: [] Exploring Operation: 26+70=96, Resulting Numbers: [54, 62, 96] Generated Node #2: [54, 62, 96] from Operation: 26+70=96 Current State: 88:[54, 62, 96], Operations: ['26+70=96'] Exploring Operation: 62-54=8, Resulting Numbers: [96, 8] Generated Node #3: [96, 8] from Operation: 62-54=8 Current State: 88:[96, 8], Operations: ['26+70=96', '62-54=8'] Exploring Operation: 96-8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 40, 58, 61, 26 ]
17
[ "58-40=18", "61-26=35", "35-18=17" ]
Current State: 17:[40, 58, 61, 26], Operations: [] Exploring Operation: 58-40=18, Resulting Numbers: [61, 26, 18] Generated Node #2: [61, 26, 18] from Operation: 58-40=18 Current State: 17:[61, 26, 18], Operations: ['58-40=18'] Exploring Operation: 61-26=35, Resulting Numbers: [18, 35] Generated Node #3: [18, 35] from Operation: 61-26=35 Current State: 17:[18, 35], Operations: ['58-40=18', '61-26=35'] Exploring Operation: 35-18=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 23, 99, 95, 57 ]
30
[ "23+99=122", "95+57=152", "152-122=30" ]
Current State: 30:[23, 99, 95, 57], Operations: [] Exploring Operation: 23+99=122, Resulting Numbers: [95, 57, 122] Generated Node #2: [95, 57, 122] from Operation: 23+99=122 Current State: 30:[95, 57, 122], Operations: ['23+99=122'] Exploring Operation: 95+57=152, Resulting Numbers: [122, 152] Generated Node #3: [122, 152] from Operation: 95+57=152 Current State: 30:[122, 152], Operations: ['23+99=122', '95+57=152'] Exploring Operation: 152-122=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 49, 74, 85, 3 ]
63
[ "74-49=25", "85+3=88", "88-25=63" ]
Current State: 63:[49, 74, 85, 3], Operations: [] Exploring Operation: 74-49=25, Resulting Numbers: [85, 3, 25] Generated Node #2: [85, 3, 25] from Operation: 74-49=25 Current State: 63:[85, 3, 25], Operations: ['74-49=25'] Exploring Operation: 85+3=88, Resulting Numbers: [25, 88] Generated Node #3: [25, 88] from Operation: 85+3=88 Current State: 63:[25, 88], Operations: ['74-49=25', '85+3=88'] Exploring Operation: 88-25=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 32, 73, 16, 83 ]
63
[ "32*73=2336", "2336/16=146", "146-83=63" ]
Current State: 63:[32, 73, 16, 83], Operations: [] Exploring Operation: 32*73=2336, Resulting Numbers: [16, 83, 2336] Generated Node #2: [16, 83, 2336] from Operation: 32*73=2336 Current State: 63:[16, 83, 2336], Operations: ['32*73=2336'] Exploring Operation: 2336/16=146, Resulting Numbers: [83, 146] Generated Node #3: [83, 146] from Operation: 2336/16=146 Current State: 63:[83, 146], Operations: ['32*73=2336', '2336/16=146'] Exploring Operation: 146-83=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 60, 74, 18, 16 ]
64
[ "74-60=14", "18-14=4", "16*4=64" ]
Current State: 64:[60, 74, 18, 16], Operations: [] Exploring Operation: 74-60=14, Resulting Numbers: [18, 16, 14] Generated Node #2: [18, 16, 14] from Operation: 74-60=14 Current State: 64:[18, 16, 14], Operations: ['74-60=14'] Exploring Operation: 18-14=4, Resulting Numbers: [16, 4] Generated Node #3: [16, 4] from Operation: 18-14=4 Current State: 64:[16, 4], Operations: ['74-60=14', '18-14=4'] Exploring Operation: 16*4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 6, 62, 31, 98 ]
90
[ "98-6=92", "62/31=2", "92-2=90" ]
Current State: 90:[6, 62, 31, 98], Operations: [] Exploring Operation: 98-6=92, Resulting Numbers: [62, 31, 92] Generated Node #2: [62, 31, 92] from Operation: 98-6=92 Current State: 90:[62, 31, 92], Operations: ['98-6=92'] Exploring Operation: 62/31=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 62/31=2 Current State: 90:[92, 2], Operations: ['98-6=92', '62/31=2'] Exploring Operation: 92-2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 20, 56, 69, 23 ]
92
[ "20*69=1380", "56*23=1288", "1380-1288=92" ]
Current State: 92:[20, 56, 69, 23], Operations: [] Exploring Operation: 20*69=1380, Resulting Numbers: [56, 23, 1380] Generated Node #2: [56, 23, 1380] from Operation: 20*69=1380 Current State: 92:[56, 23, 1380], Operations: ['20*69=1380'] Exploring Operation: 56*23=1288, Resulting Numbers: [1380, 1288] Generated Node #3: [1380, 1288] from Operation: 56*23=1288 Current State: 92:[1380, 1288], Operations: ['20*69=1380', '56*23=1288'] Exploring Operation: 1380-1288=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 41, 26, 32, 3 ]
59
[ "32-26=6", "3*6=18", "41+18=59" ]
Current State: 59:[41, 26, 32, 3], Operations: [] Exploring Operation: 32-26=6, Resulting Numbers: [41, 3, 6] Generated Node #2: [41, 3, 6] from Operation: 32-26=6 Current State: 59:[41, 3, 6], Operations: ['32-26=6'] Exploring Operation: 3*6=18, Resulting Numbers: [41, 18] Generated Node #3: [41, 18] from Operation: 3*6=18 Current State: 59:[41, 18], Operations: ['32-26=6', '3*6=18'] Exploring Operation: 41+18=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 47, 52, 25, 70 ]
19
[ "52-47=5", "25+70=95", "95/5=19" ]
Current State: 19:[47, 52, 25, 70], Operations: [] Exploring Operation: 52-47=5, Resulting Numbers: [25, 70, 5] Generated Node #2: [25, 70, 5] from Operation: 52-47=5 Current State: 19:[25, 70, 5], Operations: ['52-47=5'] Exploring Operation: 25+70=95, Resulting Numbers: [5, 95] Generated Node #3: [5, 95] from Operation: 25+70=95 Current State: 19:[5, 95], Operations: ['52-47=5', '25+70=95'] Exploring Operation: 95/5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 23, 21, 37, 17 ]
57
[ "23-21=2", "37*2=74", "74-17=57" ]
Current State: 57:[23, 21, 37, 17], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [37, 17, 2] Generated Node #2: [37, 17, 2] from Operation: 23-21=2 Current State: 57:[37, 17, 2], Operations: ['23-21=2'] Exploring Operation: 37*2=74, Resulting Numbers: [17, 74] Generated Node #3: [17, 74] from Operation: 37*2=74 Current State: 57:[17, 74], Operations: ['23-21=2', '37*2=74'] Exploring Operation: 74-17=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 7, 15, 28, 77 ]
14
[ "28-15=13", "7*13=91", "91-77=14" ]
Current State: 14:[7, 15, 28, 77], Operations: [] Exploring Operation: 28-15=13, Resulting Numbers: [7, 77, 13] Generated Node #2: [7, 77, 13] from Operation: 28-15=13 Current State: 14:[7, 77, 13], Operations: ['28-15=13'] Exploring Operation: 7*13=91, Resulting Numbers: [77, 91] Generated Node #3: [77, 91] from Operation: 7*13=91 Current State: 14:[77, 91], Operations: ['28-15=13', '7*13=91'] Exploring Operation: 91-77=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 15, 65, 37, 97 ]
84
[ "65-15=50", "37+97=134", "134-50=84" ]
Current State: 84:[15, 65, 37, 97], Operations: [] Exploring Operation: 65-15=50, Resulting Numbers: [37, 97, 50] Generated Node #2: [37, 97, 50] from Operation: 65-15=50 Current State: 84:[37, 97, 50], Operations: ['65-15=50'] Exploring Operation: 37+97=134, Resulting Numbers: [50, 134] Generated Node #3: [50, 134] from Operation: 37+97=134 Current State: 84:[50, 134], Operations: ['65-15=50', '37+97=134'] Exploring Operation: 134-50=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 36, 20, 4, 88 ]
78
[ "36+20=56", "88/4=22", "56+22=78" ]
Current State: 78:[36, 20, 4, 88], Operations: [] Exploring Operation: 36+20=56, Resulting Numbers: [4, 88, 56] Generated Node #2: [4, 88, 56] from Operation: 36+20=56 Current State: 78:[4, 88, 56], Operations: ['36+20=56'] Exploring Operation: 88/4=22, Resulting Numbers: [56, 22] Generated Node #3: [56, 22] from Operation: 88/4=22 Current State: 78:[56, 22], Operations: ['36+20=56', '88/4=22'] Exploring Operation: 56+22=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 11, 7, 13, 15 ]
80
[ "15-11=4", "7+13=20", "4*20=80" ]
Current State: 80:[11, 7, 13, 15], Operations: [] Exploring Operation: 15-11=4, Resulting Numbers: [7, 13, 4] Generated Node #2: [7, 13, 4] from Operation: 15-11=4 Current State: 80:[7, 13, 4], Operations: ['15-11=4'] Exploring Operation: 7+13=20, Resulting Numbers: [4, 20] Generated Node #3: [4, 20] from Operation: 7+13=20 Current State: 80:[4, 20], Operations: ['15-11=4', '7+13=20'] Exploring Operation: 4*20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 17, 34, 5, 6 ]
97
[ "34-17=17", "6*17=102", "102-5=97" ]
Current State: 97:[17, 34, 5, 6], Operations: [] Exploring Operation: 34-17=17, Resulting Numbers: [5, 6, 17] Generated Node #2: [5, 6, 17] from Operation: 34-17=17 Current State: 97:[5, 6, 17], Operations: ['34-17=17'] Exploring Operation: 6*17=102, Resulting Numbers: [5, 102] Generated Node #3: [5, 102] from Operation: 6*17=102 Current State: 97:[5, 102], Operations: ['34-17=17', '6*17=102'] Exploring Operation: 102-5=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 3, 9, 76, 31 ]
51
[ "9-3=6", "76-31=45", "6+45=51" ]
Current State: 51:[3, 9, 76, 31], Operations: [] Exploring Operation: 9-3=6, Resulting Numbers: [76, 31, 6] Generated Node #2: [76, 31, 6] from Operation: 9-3=6 Current State: 51:[76, 31, 6], Operations: ['9-3=6'] Exploring Operation: 76-31=45, Resulting Numbers: [6, 45] Generated Node #3: [6, 45] from Operation: 76-31=45 Current State: 51:[6, 45], Operations: ['9-3=6', '76-31=45'] Exploring Operation: 6+45=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 18, 20, 89, 56 ]
66
[ "20-18=2", "89-56=33", "2*33=66" ]
Current State: 66:[18, 20, 89, 56], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [89, 56, 2] Generated Node #2: [89, 56, 2] from Operation: 20-18=2 Current State: 66:[89, 56, 2], Operations: ['20-18=2'] Exploring Operation: 89-56=33, Resulting Numbers: [2, 33] Generated Node #3: [2, 33] from Operation: 89-56=33 Current State: 66:[2, 33], Operations: ['20-18=2', '89-56=33'] Exploring Operation: 2*33=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 2, 49, 59, 11 ]
14
[ "59+11=70", "70/2=35", "49-35=14" ]
Current State: 14:[2, 49, 59, 11], Operations: [] Exploring Operation: 59+11=70, Resulting Numbers: [2, 49, 70] Generated Node #2: [2, 49, 70] from Operation: 59+11=70 Current State: 14:[2, 49, 70], Operations: ['59+11=70'] Exploring Operation: 70/2=35, Resulting Numbers: [49, 35] Generated Node #3: [49, 35] from Operation: 70/2=35 Current State: 14:[49, 35], Operations: ['59+11=70', '70/2=35'] Exploring Operation: 49-35=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 41, 90, 48, 93 ]
10
[ "41+90=131", "48+93=141", "141-131=10" ]
Current State: 10:[41, 90, 48, 93], Operations: [] Exploring Operation: 41+90=131, Resulting Numbers: [48, 93, 131] Generated Node #2: [48, 93, 131] from Operation: 41+90=131 Current State: 10:[48, 93, 131], Operations: ['41+90=131'] Exploring Operation: 48+93=141, Resulting Numbers: [131, 141] Generated Node #3: [131, 141] from Operation: 48+93=141 Current State: 10:[131, 141], Operations: ['41+90=131', '48+93=141'] Exploring Operation: 141-131=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 54, 26, 30, 15 ]
40
[ "54+26=80", "30/15=2", "80/2=40" ]
Current State: 40:[54, 26, 30, 15], Operations: [] Exploring Operation: 54+26=80, Resulting Numbers: [30, 15, 80] Generated Node #2: [30, 15, 80] from Operation: 54+26=80 Current State: 40:[30, 15, 80], Operations: ['54+26=80'] Exploring Operation: 30/15=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 30/15=2 Current State: 40:[80, 2], Operations: ['54+26=80', '30/15=2'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4