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
[ 96, 62, 8, 25 ]
17
[ "96-62=34", "25-8=17", "34-17=17" ]
Current State: 17:[96, 62, 8, 25], Operations: [] Exploring Operation: 96-62=34, Resulting Numbers: [8, 25, 34] Generated Node #2: [8, 25, 34] from Operation: 96-62=34 Current State: 17:[8, 25, 34], Operations: ['96-62=34'] Exploring Operation: 25-8=17, Resulting Numbers: [34, 17] Generated Node #3: [34, 17] from Operation: 25-8=17 Current State: 17:[34, 17], Operations: ['96-62=34', '25-8=17'] Exploring Operation: 34-17=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 90, 42, 60, 57 ]
94
[ "90*60=5400", "5400-42=5358", "5358/57=94" ]
Current State: 94:[90, 42, 60, 57], Operations: [] Exploring Operation: 90*60=5400, Resulting Numbers: [42, 57, 5400] Generated Node #2: [42, 57, 5400] from Operation: 90*60=5400 Current State: 94:[42, 57, 5400], Operations: ['90*60=5400'] Exploring Operation: 5400-42=5358, Resulting Numbers: [57, 5358] Generated Node #3: [57, 5358] from Operation: 5400-42=5358 Current State: 94:[57, 5358], Operations: ['90*60=5400', '5400-42=5358'] Exploring Operation: 5358/57=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 20, 5, 8, 48 ]
68
[ "48-20=28", "5*8=40", "28+40=68" ]
Current State: 68:[20, 5, 8, 48], Operations: [] Exploring Operation: 48-20=28, Resulting Numbers: [5, 8, 28] Generated Node #2: [5, 8, 28] from Operation: 48-20=28 Current State: 68:[5, 8, 28], Operations: ['48-20=28'] Exploring Operation: 5*8=40, Resulting Numbers: [28, 40] Generated Node #3: [28, 40] from Operation: 5*8=40 Current State: 68:[28, 40], Operations: ['48-20=28', '5*8=40'] Exploring Operation: 28+40=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 8, 2, 35, 71 ]
96
[ "8+2=10", "35+71=106", "106-10=96" ]
Current State: 96:[8, 2, 35, 71], Operations: [] Exploring Operation: 8+2=10, Resulting Numbers: [35, 71, 10] Generated Node #2: [35, 71, 10] from Operation: 8+2=10 Current State: 96:[35, 71, 10], Operations: ['8+2=10'] Exploring Operation: 35+71=106, Resulting Numbers: [10, 106] Generated Node #3: [10, 106] from Operation: 35+71=106 Current State: 96:[10, 106], Operations: ['8+2=10', '35+71=106'] Exploring Operation: 106-10=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 55, 38, 57, 62 ]
98
[ "55+38=93", "62-57=5", "93+5=98" ]
Current State: 98:[55, 38, 57, 62], Operations: [] Exploring Operation: 55+38=93, Resulting Numbers: [57, 62, 93] Generated Node #2: [57, 62, 93] from Operation: 55+38=93 Current State: 98:[57, 62, 93], Operations: ['55+38=93'] Exploring Operation: 62-57=5, Resulting Numbers: [93, 5] Generated Node #3: [93, 5] from Operation: 62-57=5 Current State: 98:[93, 5], Operations: ['55+38=93', '62-57=5'] Exploring Operation: 93+5=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 21, 82, 83, 32 ]
54
[ "82-21=61", "83+32=115", "115-61=54" ]
Current State: 54:[21, 82, 83, 32], Operations: [] Exploring Operation: 82-21=61, Resulting Numbers: [83, 32, 61] Generated Node #2: [83, 32, 61] from Operation: 82-21=61 Current State: 54:[83, 32, 61], Operations: ['82-21=61'] Exploring Operation: 83+32=115, Resulting Numbers: [61, 115] Generated Node #3: [61, 115] from Operation: 83+32=115 Current State: 54:[61, 115], Operations: ['82-21=61', '83+32=115'] Exploring Operation: 115-61=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 79, 56, 20, 24 ]
67
[ "79-56=23", "20+24=44", "23+44=67" ]
Current State: 67:[79, 56, 20, 24], Operations: [] Exploring Operation: 79-56=23, Resulting Numbers: [20, 24, 23] Generated Node #2: [20, 24, 23] from Operation: 79-56=23 Current State: 67:[20, 24, 23], Operations: ['79-56=23'] Exploring Operation: 20+24=44, Resulting Numbers: [23, 44] Generated Node #3: [23, 44] from Operation: 20+24=44 Current State: 67:[23, 44], Operations: ['79-56=23', '20+24=44'] Exploring Operation: 23+44=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 72, 41, 40, 83 ]
74
[ "72-41=31", "83-40=43", "31+43=74" ]
Current State: 74:[72, 41, 40, 83], Operations: [] Exploring Operation: 72-41=31, Resulting Numbers: [40, 83, 31] Generated Node #2: [40, 83, 31] from Operation: 72-41=31 Current State: 74:[40, 83, 31], Operations: ['72-41=31'] Exploring Operation: 83-40=43, Resulting Numbers: [31, 43] Generated Node #3: [31, 43] from Operation: 83-40=43 Current State: 74:[31, 43], Operations: ['72-41=31', '83-40=43'] Exploring Operation: 31+43=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 1, 96, 74, 34 ]
55
[ "96-1=95", "74-34=40", "95-40=55" ]
Current State: 55:[1, 96, 74, 34], Operations: [] Exploring Operation: 96-1=95, Resulting Numbers: [74, 34, 95] Generated Node #2: [74, 34, 95] from Operation: 96-1=95 Current State: 55:[74, 34, 95], Operations: ['96-1=95'] Exploring Operation: 74-34=40, Resulting Numbers: [95, 40] Generated Node #3: [95, 40] from Operation: 74-34=40 Current State: 55:[95, 40], Operations: ['96-1=95', '74-34=40'] Exploring Operation: 95-40=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 59, 5, 73, 33 ]
42
[ "59+5=64", "73+33=106", "106-64=42" ]
Current State: 42:[59, 5, 73, 33], Operations: [] Exploring Operation: 59+5=64, Resulting Numbers: [73, 33, 64] Generated Node #2: [73, 33, 64] from Operation: 59+5=64 Current State: 42:[73, 33, 64], Operations: ['59+5=64'] Exploring Operation: 73+33=106, Resulting Numbers: [64, 106] Generated Node #3: [64, 106] from Operation: 73+33=106 Current State: 42:[64, 106], Operations: ['59+5=64', '73+33=106'] Exploring Operation: 106-64=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 54, 4, 20, 24 ]
66
[ "20/4=5", "24*5=120", "120-54=66" ]
Current State: 66:[54, 4, 20, 24], Operations: [] Exploring Operation: 20/4=5, Resulting Numbers: [54, 24, 5] Generated Node #2: [54, 24, 5] from Operation: 20/4=5 Current State: 66:[54, 24, 5], Operations: ['20/4=5'] Exploring Operation: 24*5=120, Resulting Numbers: [54, 120] Generated Node #3: [54, 120] from Operation: 24*5=120 Current State: 66:[54, 120], Operations: ['20/4=5', '24*5=120'] Exploring Operation: 120-54=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 6, 43, 24, 48 ]
90
[ "24-6=18", "48-43=5", "18*5=90" ]
Current State: 90:[6, 43, 24, 48], Operations: [] Exploring Operation: 24-6=18, Resulting Numbers: [43, 48, 18] Generated Node #2: [43, 48, 18] from Operation: 24-6=18 Current State: 90:[43, 48, 18], Operations: ['24-6=18'] Exploring Operation: 48-43=5, Resulting Numbers: [18, 5] Generated Node #3: [18, 5] from Operation: 48-43=5 Current State: 90:[18, 5], Operations: ['24-6=18', '48-43=5'] Exploring Operation: 18*5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 85, 36, 13, 38 ]
24
[ "85-36=49", "38-13=25", "49-25=24" ]
Current State: 24:[85, 36, 13, 38], Operations: [] Exploring Operation: 85-36=49, Resulting Numbers: [13, 38, 49] Generated Node #2: [13, 38, 49] from Operation: 85-36=49 Current State: 24:[13, 38, 49], Operations: ['85-36=49'] Exploring Operation: 38-13=25, Resulting Numbers: [49, 25] Generated Node #3: [49, 25] from Operation: 38-13=25 Current State: 24:[49, 25], Operations: ['85-36=49', '38-13=25'] Exploring Operation: 49-25=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 68, 19, 12, 83 ]
57
[ "68+12=80", "83-80=3", "19*3=57" ]
Current State: 57:[68, 19, 12, 83], Operations: [] Exploring Operation: 68+12=80, Resulting Numbers: [19, 83, 80] Generated Node #2: [19, 83, 80] from Operation: 68+12=80 Current State: 57:[19, 83, 80], Operations: ['68+12=80'] Exploring Operation: 83-80=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 83-80=3 Current State: 57:[19, 3], Operations: ['68+12=80', '83-80=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 46, 93, 66, 70 ]
33
[ "93-70=23", "46/23=2", "66/2=33" ]
Current State: 33:[46, 93, 66, 70], Operations: [] Exploring Operation: 93-70=23, Resulting Numbers: [46, 66, 23] Generated Node #2: [46, 66, 23] from Operation: 93-70=23 Current State: 33:[46, 66, 23], Operations: ['93-70=23'] Exploring Operation: 46/23=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 46/23=2 Current State: 33:[66, 2], Operations: ['93-70=23', '46/23=2'] Exploring Operation: 66/2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 8, 41, 57, 31 ]
30
[ "57+31=88", "88/8=11", "41-11=30" ]
Current State: 30:[8, 41, 57, 31], Operations: [] Exploring Operation: 57+31=88, Resulting Numbers: [8, 41, 88] Generated Node #2: [8, 41, 88] from Operation: 57+31=88 Current State: 30:[8, 41, 88], Operations: ['57+31=88'] Exploring Operation: 88/8=11, Resulting Numbers: [41, 11] Generated Node #3: [41, 11] from Operation: 88/8=11 Current State: 30:[41, 11], Operations: ['57+31=88', '88/8=11'] Exploring Operation: 41-11=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 5, 34, 93, 40 ]
73
[ "5*40=200", "34+93=127", "200-127=73" ]
Current State: 73:[5, 34, 93, 40], Operations: [] Exploring Operation: 5*40=200, Resulting Numbers: [34, 93, 200] Generated Node #2: [34, 93, 200] from Operation: 5*40=200 Current State: 73:[34, 93, 200], Operations: ['5*40=200'] Exploring Operation: 34+93=127, Resulting Numbers: [200, 127] Generated Node #3: [200, 127] from Operation: 34+93=127 Current State: 73:[200, 127], Operations: ['5*40=200', '34+93=127'] Exploring Operation: 200-127=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 96, 97, 40, 2 ]
69
[ "96-40=56", "56/2=28", "97-28=69" ]
Current State: 69:[96, 97, 40, 2], Operations: [] Exploring Operation: 96-40=56, Resulting Numbers: [97, 2, 56] Generated Node #2: [97, 2, 56] from Operation: 96-40=56 Current State: 69:[97, 2, 56], Operations: ['96-40=56'] Exploring Operation: 56/2=28, Resulting Numbers: [97, 28] Generated Node #3: [97, 28] from Operation: 56/2=28 Current State: 69:[97, 28], Operations: ['96-40=56', '56/2=28'] Exploring Operation: 97-28=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 37, 89, 51, 36 ]
37
[ "89-37=52", "51-36=15", "52-15=37" ]
Current State: 37:[37, 89, 51, 36], Operations: [] Exploring Operation: 89-37=52, Resulting Numbers: [51, 36, 52] Generated Node #2: [51, 36, 52] from Operation: 89-37=52 Current State: 37:[51, 36, 52], Operations: ['89-37=52'] Exploring Operation: 51-36=15, Resulting Numbers: [52, 15] Generated Node #3: [52, 15] from Operation: 51-36=15 Current State: 37:[52, 15], Operations: ['89-37=52', '51-36=15'] Exploring Operation: 52-15=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 93, 50, 87, 15 ]
54
[ "93+87=180", "15*180=2700", "2700/50=54" ]
Current State: 54:[93, 50, 87, 15], Operations: [] Exploring Operation: 93+87=180, Resulting Numbers: [50, 15, 180] Generated Node #2: [50, 15, 180] from Operation: 93+87=180 Current State: 54:[50, 15, 180], Operations: ['93+87=180'] Exploring Operation: 15*180=2700, Resulting Numbers: [50, 2700] Generated Node #3: [50, 2700] from Operation: 15*180=2700 Current State: 54:[50, 2700], Operations: ['93+87=180', '15*180=2700'] Exploring Operation: 2700/50=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 24, 44, 28, 29 ]
67
[ "24+44=68", "29-28=1", "68-1=67" ]
Current State: 67:[24, 44, 28, 29], Operations: [] Exploring Operation: 24+44=68, Resulting Numbers: [28, 29, 68] Generated Node #2: [28, 29, 68] from Operation: 24+44=68 Current State: 67:[28, 29, 68], Operations: ['24+44=68'] Exploring Operation: 29-28=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 29-28=1 Current State: 67:[68, 1], Operations: ['24+44=68', '29-28=1'] Exploring Operation: 68-1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 34, 42, 5, 68 ]
51
[ "68-5=63", "34*63=2142", "2142/42=51" ]
Current State: 51:[34, 42, 5, 68], Operations: [] Exploring Operation: 68-5=63, Resulting Numbers: [34, 42, 63] Generated Node #2: [34, 42, 63] from Operation: 68-5=63 Current State: 51:[34, 42, 63], Operations: ['68-5=63'] Exploring Operation: 34*63=2142, Resulting Numbers: [42, 2142] Generated Node #3: [42, 2142] from Operation: 34*63=2142 Current State: 51:[42, 2142], Operations: ['68-5=63', '34*63=2142'] Exploring Operation: 2142/42=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 92, 36, 46, 69 ]
18
[ "92+46=138", "36*69=2484", "2484/138=18" ]
Current State: 18:[92, 36, 46, 69], Operations: [] Exploring Operation: 92+46=138, Resulting Numbers: [36, 69, 138] Generated Node #2: [36, 69, 138] from Operation: 92+46=138 Current State: 18:[36, 69, 138], Operations: ['92+46=138'] Exploring Operation: 36*69=2484, Resulting Numbers: [138, 2484] Generated Node #3: [138, 2484] from Operation: 36*69=2484 Current State: 18:[138, 2484], Operations: ['92+46=138', '36*69=2484'] Exploring Operation: 2484/138=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 63, 21, 99, 46 ]
79
[ "63/21=3", "99/3=33", "46+33=79" ]
Current State: 79:[63, 21, 99, 46], Operations: [] Exploring Operation: 63/21=3, Resulting Numbers: [99, 46, 3] Generated Node #2: [99, 46, 3] from Operation: 63/21=3 Current State: 79:[99, 46, 3], Operations: ['63/21=3'] Exploring Operation: 99/3=33, Resulting Numbers: [46, 33] Generated Node #3: [46, 33] from Operation: 99/3=33 Current State: 79:[46, 33], Operations: ['63/21=3', '99/3=33'] Exploring Operation: 46+33=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 3, 55, 80, 69 ]
38
[ "69-55=14", "3*14=42", "80-42=38" ]
Current State: 38:[3, 55, 80, 69], Operations: [] Exploring Operation: 69-55=14, Resulting Numbers: [3, 80, 14] Generated Node #2: [3, 80, 14] from Operation: 69-55=14 Current State: 38:[3, 80, 14], Operations: ['69-55=14'] Exploring Operation: 3*14=42, Resulting Numbers: [80, 42] Generated Node #3: [80, 42] from Operation: 3*14=42 Current State: 38:[80, 42], Operations: ['69-55=14', '3*14=42'] Exploring Operation: 80-42=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 34, 4, 39, 2 ]
95
[ "34*4=136", "39+2=41", "136-41=95" ]
Current State: 95:[34, 4, 39, 2], Operations: [] Exploring Operation: 34*4=136, Resulting Numbers: [39, 2, 136] Generated Node #2: [39, 2, 136] from Operation: 34*4=136 Current State: 95:[39, 2, 136], Operations: ['34*4=136'] Exploring Operation: 39+2=41, Resulting Numbers: [136, 41] Generated Node #3: [136, 41] from Operation: 39+2=41 Current State: 95:[136, 41], Operations: ['34*4=136', '39+2=41'] Exploring Operation: 136-41=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 43, 31, 29, 5 ]
19
[ "43-5=38", "31-29=2", "38/2=19" ]
Current State: 19:[43, 31, 29, 5], Operations: [] Exploring Operation: 43-5=38, Resulting Numbers: [31, 29, 38] Generated Node #2: [31, 29, 38] from Operation: 43-5=38 Current State: 19:[31, 29, 38], Operations: ['43-5=38'] Exploring Operation: 31-29=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 31-29=2 Current State: 19:[38, 2], Operations: ['43-5=38', '31-29=2'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 84, 86, 92, 13 ]
81
[ "86-84=2", "92-13=79", "2+79=81" ]
Current State: 81:[84, 86, 92, 13], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [92, 13, 2] Generated Node #2: [92, 13, 2] from Operation: 86-84=2 Current State: 81:[92, 13, 2], Operations: ['86-84=2'] Exploring Operation: 92-13=79, Resulting Numbers: [2, 79] Generated Node #3: [2, 79] from Operation: 92-13=79 Current State: 81:[2, 79], Operations: ['86-84=2', '92-13=79'] Exploring Operation: 2+79=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 31, 51, 87, 51 ]
96
[ "31*87=2697", "51*51=2601", "2697-2601=96" ]
Current State: 96:[31, 51, 87, 51], Operations: [] Exploring Operation: 31*87=2697, Resulting Numbers: [51, 51, 2697] Generated Node #2: [51, 51, 2697] from Operation: 31*87=2697 Current State: 96:[51, 51, 2697], Operations: ['31*87=2697'] Exploring Operation: 51*51=2601, Resulting Numbers: [2697, 2601] Generated Node #3: [2697, 2601] from Operation: 51*51=2601 Current State: 96:[2697, 2601], Operations: ['31*87=2697', '51*51=2601'] Exploring Operation: 2697-2601=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 12, 32, 19, 35 ]
24
[ "12*32=384", "35-19=16", "384/16=24" ]
Current State: 24:[12, 32, 19, 35], Operations: [] Exploring Operation: 12*32=384, Resulting Numbers: [19, 35, 384] Generated Node #2: [19, 35, 384] from Operation: 12*32=384 Current State: 24:[19, 35, 384], Operations: ['12*32=384'] Exploring Operation: 35-19=16, Resulting Numbers: [384, 16] Generated Node #3: [384, 16] from Operation: 35-19=16 Current State: 24:[384, 16], Operations: ['12*32=384', '35-19=16'] Exploring Operation: 384/16=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 34, 17, 79, 46 ]
84
[ "34+17=51", "79-46=33", "51+33=84" ]
Current State: 84:[34, 17, 79, 46], Operations: [] Exploring Operation: 34+17=51, Resulting Numbers: [79, 46, 51] Generated Node #2: [79, 46, 51] from Operation: 34+17=51 Current State: 84:[79, 46, 51], Operations: ['34+17=51'] Exploring Operation: 79-46=33, Resulting Numbers: [51, 33] Generated Node #3: [51, 33] from Operation: 79-46=33 Current State: 84:[51, 33], Operations: ['34+17=51', '79-46=33'] Exploring Operation: 51+33=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 62, 25, 34, 17 ]
20
[ "62-25=37", "34-17=17", "37-17=20" ]
Current State: 20:[62, 25, 34, 17], Operations: [] Exploring Operation: 62-25=37, Resulting Numbers: [34, 17, 37] Generated Node #2: [34, 17, 37] from Operation: 62-25=37 Current State: 20:[34, 17, 37], Operations: ['62-25=37'] Exploring Operation: 34-17=17, Resulting Numbers: [37, 17] Generated Node #3: [37, 17] from Operation: 34-17=17 Current State: 20:[37, 17], Operations: ['62-25=37', '34-17=17'] Exploring Operation: 37-17=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 4, 18, 20, 41 ]
39
[ "4+18=22", "20+41=61", "61-22=39" ]
Current State: 39:[4, 18, 20, 41], Operations: [] Exploring Operation: 4+18=22, Resulting Numbers: [20, 41, 22] Generated Node #2: [20, 41, 22] from Operation: 4+18=22 Current State: 39:[20, 41, 22], Operations: ['4+18=22'] Exploring Operation: 20+41=61, Resulting Numbers: [22, 61] Generated Node #3: [22, 61] from Operation: 20+41=61 Current State: 39:[22, 61], Operations: ['4+18=22', '20+41=61'] Exploring Operation: 61-22=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 47, 56, 3, 79 ]
98
[ "47+79=126", "126/3=42", "56+42=98" ]
Current State: 98:[47, 56, 3, 79], Operations: [] Exploring Operation: 47+79=126, Resulting Numbers: [56, 3, 126] Generated Node #2: [56, 3, 126] from Operation: 47+79=126 Current State: 98:[56, 3, 126], Operations: ['47+79=126'] Exploring Operation: 126/3=42, Resulting Numbers: [56, 42] Generated Node #3: [56, 42] from Operation: 126/3=42 Current State: 98:[56, 42], Operations: ['47+79=126', '126/3=42'] Exploring Operation: 56+42=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 73, 48, 26, 95 ]
91
[ "73+95=168", "26*168=4368", "4368/48=91" ]
Current State: 91:[73, 48, 26, 95], Operations: [] Exploring Operation: 73+95=168, Resulting Numbers: [48, 26, 168] Generated Node #2: [48, 26, 168] from Operation: 73+95=168 Current State: 91:[48, 26, 168], Operations: ['73+95=168'] Exploring Operation: 26*168=4368, Resulting Numbers: [48, 4368] Generated Node #3: [48, 4368] from Operation: 26*168=4368 Current State: 91:[48, 4368], Operations: ['73+95=168', '26*168=4368'] Exploring Operation: 4368/48=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 11, 64, 84, 29 ]
69
[ "84-29=55", "55/11=5", "64+5=69" ]
Current State: 69:[11, 64, 84, 29], Operations: [] Exploring Operation: 84-29=55, Resulting Numbers: [11, 64, 55] Generated Node #2: [11, 64, 55] from Operation: 84-29=55 Current State: 69:[11, 64, 55], Operations: ['84-29=55'] Exploring Operation: 55/11=5, Resulting Numbers: [64, 5] Generated Node #3: [64, 5] from Operation: 55/11=5 Current State: 69:[64, 5], Operations: ['84-29=55', '55/11=5'] Exploring Operation: 64+5=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 60, 72, 54, 45 ]
35
[ "60*72=4320", "4320/54=80", "80-45=35" ]
Current State: 35:[60, 72, 54, 45], Operations: [] Exploring Operation: 60*72=4320, Resulting Numbers: [54, 45, 4320] Generated Node #2: [54, 45, 4320] from Operation: 60*72=4320 Current State: 35:[54, 45, 4320], Operations: ['60*72=4320'] Exploring Operation: 4320/54=80, Resulting Numbers: [45, 80] Generated Node #3: [45, 80] from Operation: 4320/54=80 Current State: 35:[45, 80], Operations: ['60*72=4320', '4320/54=80'] Exploring Operation: 80-45=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 27, 37, 6, 66 ]
59
[ "27*6=162", "37+66=103", "162-103=59" ]
Current State: 59:[27, 37, 6, 66], Operations: [] Exploring Operation: 27*6=162, Resulting Numbers: [37, 66, 162] Generated Node #2: [37, 66, 162] from Operation: 27*6=162 Current State: 59:[37, 66, 162], Operations: ['27*6=162'] Exploring Operation: 37+66=103, Resulting Numbers: [162, 103] Generated Node #3: [162, 103] from Operation: 37+66=103 Current State: 59:[162, 103], Operations: ['27*6=162', '37+66=103'] Exploring Operation: 162-103=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 51, 28, 3, 25 ]
57
[ "51+28=79", "25-3=22", "79-22=57" ]
Current State: 57:[51, 28, 3, 25], Operations: [] Exploring Operation: 51+28=79, Resulting Numbers: [3, 25, 79] Generated Node #2: [3, 25, 79] from Operation: 51+28=79 Current State: 57:[3, 25, 79], Operations: ['51+28=79'] Exploring Operation: 25-3=22, Resulting Numbers: [79, 22] Generated Node #3: [79, 22] from Operation: 25-3=22 Current State: 57:[79, 22], Operations: ['51+28=79', '25-3=22'] Exploring Operation: 79-22=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 61, 44, 17, 17 ]
61
[ "17-17=0", "44*0=0", "61+0=61" ]
Current State: 61:[61, 44, 17, 17], Operations: [] Exploring Operation: 17-17=0, Resulting Numbers: [61, 44, 0] Generated Node #2: [61, 44, 0] from Operation: 17-17=0 Current State: 61:[61, 44, 0], Operations: ['17-17=0'] Exploring Operation: 44*0=0, Resulting Numbers: [61, 0] Generated Node #3: [61, 0] from Operation: 44*0=0 Current State: 61:[61, 0], Operations: ['17-17=0', '44*0=0'] Exploring Operation: 61+0=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 73, 77, 83, 8 ]
79
[ "77-73=4", "83-8=75", "4+75=79" ]
Current State: 79:[73, 77, 83, 8], Operations: [] Exploring Operation: 77-73=4, Resulting Numbers: [83, 8, 4] Generated Node #2: [83, 8, 4] from Operation: 77-73=4 Current State: 79:[83, 8, 4], Operations: ['77-73=4'] Exploring Operation: 83-8=75, Resulting Numbers: [4, 75] Generated Node #3: [4, 75] from Operation: 83-8=75 Current State: 79:[4, 75], Operations: ['77-73=4', '83-8=75'] Exploring Operation: 4+75=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 15, 19, 8, 10 ]
21
[ "15-10=5", "8*5=40", "40-19=21" ]
Current State: 21:[15, 19, 8, 10], Operations: [] Exploring Operation: 15-10=5, Resulting Numbers: [19, 8, 5] Generated Node #2: [19, 8, 5] from Operation: 15-10=5 Current State: 21:[19, 8, 5], Operations: ['15-10=5'] Exploring Operation: 8*5=40, Resulting Numbers: [19, 40] Generated Node #3: [19, 40] from Operation: 8*5=40 Current State: 21:[19, 40], Operations: ['15-10=5', '8*5=40'] Exploring Operation: 40-19=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 20, 92, 51, 67 ]
23
[ "20+51=71", "71-67=4", "92/4=23" ]
Current State: 23:[20, 92, 51, 67], Operations: [] Exploring Operation: 20+51=71, Resulting Numbers: [92, 67, 71] Generated Node #2: [92, 67, 71] from Operation: 20+51=71 Current State: 23:[92, 67, 71], Operations: ['20+51=71'] Exploring Operation: 71-67=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation: 71-67=4 Current State: 23:[92, 4], Operations: ['20+51=71', '71-67=4'] Exploring Operation: 92/4=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 9, 48, 13, 85 ]
59
[ "48-9=39", "13+85=98", "98-39=59" ]
Current State: 59:[9, 48, 13, 85], Operations: [] Exploring Operation: 48-9=39, Resulting Numbers: [13, 85, 39] Generated Node #2: [13, 85, 39] from Operation: 48-9=39 Current State: 59:[13, 85, 39], Operations: ['48-9=39'] Exploring Operation: 13+85=98, Resulting Numbers: [39, 98] Generated Node #3: [39, 98] from Operation: 13+85=98 Current State: 59:[39, 98], Operations: ['48-9=39', '13+85=98'] Exploring Operation: 98-39=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 39, 77, 9, 59 ]
88
[ "77-39=38", "59-9=50", "38+50=88" ]
Current State: 88:[39, 77, 9, 59], Operations: [] Exploring Operation: 77-39=38, Resulting Numbers: [9, 59, 38] Generated Node #2: [9, 59, 38] from Operation: 77-39=38 Current State: 88:[9, 59, 38], Operations: ['77-39=38'] Exploring Operation: 59-9=50, Resulting Numbers: [38, 50] Generated Node #3: [38, 50] from Operation: 59-9=50 Current State: 88:[38, 50], Operations: ['77-39=38', '59-9=50'] Exploring Operation: 38+50=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 32, 32, 3, 22 ]
39
[ "32+32=64", "3+22=25", "64-25=39" ]
Current State: 39:[32, 32, 3, 22], Operations: [] Exploring Operation: 32+32=64, Resulting Numbers: [3, 22, 64] Generated Node #2: [3, 22, 64] from Operation: 32+32=64 Current State: 39:[3, 22, 64], Operations: ['32+32=64'] Exploring Operation: 3+22=25, Resulting Numbers: [64, 25] Generated Node #3: [64, 25] from Operation: 3+22=25 Current State: 39:[64, 25], Operations: ['32+32=64', '3+22=25'] Exploring Operation: 64-25=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 78, 42, 11, 13 ]
81
[ "13-11=2", "78/2=39", "42+39=81" ]
Current State: 81:[78, 42, 11, 13], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [78, 42, 2] Generated Node #2: [78, 42, 2] from Operation: 13-11=2 Current State: 81:[78, 42, 2], Operations: ['13-11=2'] Exploring Operation: 78/2=39, Resulting Numbers: [42, 39] Generated Node #3: [42, 39] from Operation: 78/2=39 Current State: 81:[42, 39], Operations: ['13-11=2', '78/2=39'] Exploring Operation: 42+39=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 52, 86, 70, 1 ]
35
[ "86-52=34", "70-1=69", "69-34=35" ]
Current State: 35:[52, 86, 70, 1], Operations: [] Exploring Operation: 86-52=34, Resulting Numbers: [70, 1, 34] Generated Node #2: [70, 1, 34] from Operation: 86-52=34 Current State: 35:[70, 1, 34], Operations: ['86-52=34'] Exploring Operation: 70-1=69, Resulting Numbers: [34, 69] Generated Node #3: [34, 69] from Operation: 70-1=69 Current State: 35:[34, 69], Operations: ['86-52=34', '70-1=69'] Exploring Operation: 69-34=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 23, 93, 89, 50 ]
23
[ "23+93=116", "89+50=139", "139-116=23" ]
Current State: 23:[23, 93, 89, 50], Operations: [] Exploring Operation: 23+93=116, Resulting Numbers: [89, 50, 116] Generated Node #2: [89, 50, 116] from Operation: 23+93=116 Current State: 23:[89, 50, 116], Operations: ['23+93=116'] Exploring Operation: 89+50=139, Resulting Numbers: [116, 139] Generated Node #3: [116, 139] from Operation: 89+50=139 Current State: 23:[116, 139], Operations: ['23+93=116', '89+50=139'] Exploring Operation: 139-116=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 93, 35, 10, 62 ]
76
[ "93+35=128", "62-10=52", "128-52=76" ]
Current State: 76:[93, 35, 10, 62], Operations: [] Exploring Operation: 93+35=128, Resulting Numbers: [10, 62, 128] Generated Node #2: [10, 62, 128] from Operation: 93+35=128 Current State: 76:[10, 62, 128], Operations: ['93+35=128'] Exploring Operation: 62-10=52, Resulting Numbers: [128, 52] Generated Node #3: [128, 52] from Operation: 62-10=52 Current State: 76:[128, 52], Operations: ['93+35=128', '62-10=52'] Exploring Operation: 128-52=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 18, 75, 42, 72 ]
87
[ "75-18=57", "72-42=30", "57+30=87" ]
Current State: 87:[18, 75, 42, 72], Operations: [] Exploring Operation: 75-18=57, Resulting Numbers: [42, 72, 57] Generated Node #2: [42, 72, 57] from Operation: 75-18=57 Current State: 87:[42, 72, 57], Operations: ['75-18=57'] Exploring Operation: 72-42=30, Resulting Numbers: [57, 30] Generated Node #3: [57, 30] from Operation: 72-42=30 Current State: 87:[57, 30], Operations: ['75-18=57', '72-42=30'] Exploring Operation: 57+30=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 47, 41, 55, 32 ]
29
[ "47-41=6", "55-32=23", "6+23=29" ]
Current State: 29:[47, 41, 55, 32], Operations: [] Exploring Operation: 47-41=6, Resulting Numbers: [55, 32, 6] Generated Node #2: [55, 32, 6] from Operation: 47-41=6 Current State: 29:[55, 32, 6], Operations: ['47-41=6'] Exploring Operation: 55-32=23, Resulting Numbers: [6, 23] Generated Node #3: [6, 23] from Operation: 55-32=23 Current State: 29:[6, 23], Operations: ['47-41=6', '55-32=23'] Exploring Operation: 6+23=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 23, 68, 60, 7 ]
70
[ "23+7=30", "60/30=2", "68+2=70" ]
Current State: 70:[23, 68, 60, 7], Operations: [] Exploring Operation: 23+7=30, Resulting Numbers: [68, 60, 30] Generated Node #2: [68, 60, 30] from Operation: 23+7=30 Current State: 70:[68, 60, 30], Operations: ['23+7=30'] Exploring Operation: 60/30=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 60/30=2 Current State: 70:[68, 2], Operations: ['23+7=30', '60/30=2'] Exploring Operation: 68+2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 2, 17, 29, 18 ]
81
[ "2*17=34", "29+18=47", "34+47=81" ]
Current State: 81:[2, 17, 29, 18], Operations: [] Exploring Operation: 2*17=34, Resulting Numbers: [29, 18, 34] Generated Node #2: [29, 18, 34] from Operation: 2*17=34 Current State: 81:[29, 18, 34], Operations: ['2*17=34'] Exploring Operation: 29+18=47, Resulting Numbers: [34, 47] Generated Node #3: [34, 47] from Operation: 29+18=47 Current State: 81:[34, 47], Operations: ['2*17=34', '29+18=47'] Exploring Operation: 34+47=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 11, 58, 52, 33 ]
99
[ "58-52=6", "11*6=66", "33+66=99" ]
Current State: 99:[11, 58, 52, 33], Operations: [] Exploring Operation: 58-52=6, Resulting Numbers: [11, 33, 6] Generated Node #2: [11, 33, 6] from Operation: 58-52=6 Current State: 99:[11, 33, 6], Operations: ['58-52=6'] Exploring Operation: 11*6=66, Resulting Numbers: [33, 66] Generated Node #3: [33, 66] from Operation: 11*6=66 Current State: 99:[33, 66], Operations: ['58-52=6', '11*6=66'] Exploring Operation: 33+66=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 17, 2, 20, 56 ]
62
[ "20-17=3", "2*3=6", "56+6=62" ]
Current State: 62:[17, 2, 20, 56], Operations: [] Exploring Operation: 20-17=3, Resulting Numbers: [2, 56, 3] Generated Node #2: [2, 56, 3] from Operation: 20-17=3 Current State: 62:[2, 56, 3], Operations: ['20-17=3'] Exploring Operation: 2*3=6, Resulting Numbers: [56, 6] Generated Node #3: [56, 6] from Operation: 2*3=6 Current State: 62:[56, 6], Operations: ['20-17=3', '2*3=6'] Exploring Operation: 56+6=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 15, 96, 68, 26 ]
39
[ "96-15=81", "68-26=42", "81-42=39" ]
Current State: 39:[15, 96, 68, 26], Operations: [] Exploring Operation: 96-15=81, Resulting Numbers: [68, 26, 81] Generated Node #2: [68, 26, 81] from Operation: 96-15=81 Current State: 39:[68, 26, 81], Operations: ['96-15=81'] Exploring Operation: 68-26=42, Resulting Numbers: [81, 42] Generated Node #3: [81, 42] from Operation: 68-26=42 Current State: 39:[81, 42], Operations: ['96-15=81', '68-26=42'] Exploring Operation: 81-42=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 18, 15, 50, 14 ]
12
[ "18-15=3", "50-14=36", "36/3=12" ]
Current State: 12:[18, 15, 50, 14], Operations: [] Exploring Operation: 18-15=3, Resulting Numbers: [50, 14, 3] Generated Node #2: [50, 14, 3] from Operation: 18-15=3 Current State: 12:[50, 14, 3], Operations: ['18-15=3'] Exploring Operation: 50-14=36, Resulting Numbers: [3, 36] Generated Node #3: [3, 36] from Operation: 50-14=36 Current State: 12:[3, 36], Operations: ['18-15=3', '50-14=36'] Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 64, 88, 81, 77 ]
28
[ "88-64=24", "81-77=4", "24+4=28" ]
Current State: 28:[64, 88, 81, 77], Operations: [] Exploring Operation: 88-64=24, Resulting Numbers: [81, 77, 24] Generated Node #2: [81, 77, 24] from Operation: 88-64=24 Current State: 28:[81, 77, 24], Operations: ['88-64=24'] Exploring Operation: 81-77=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 81-77=4 Current State: 28:[24, 4], Operations: ['88-64=24', '81-77=4'] Exploring Operation: 24+4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 88, 93, 35, 58 ]
98
[ "93-88=5", "35+58=93", "5+93=98" ]
Current State: 98:[88, 93, 35, 58], Operations: [] Exploring Operation: 93-88=5, Resulting Numbers: [35, 58, 5] Generated Node #2: [35, 58, 5] from Operation: 93-88=5 Current State: 98:[35, 58, 5], Operations: ['93-88=5'] Exploring Operation: 35+58=93, Resulting Numbers: [5, 93] Generated Node #3: [5, 93] from Operation: 35+58=93 Current State: 98:[5, 93], Operations: ['93-88=5', '35+58=93'] Exploring Operation: 5+93=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 55, 90, 1, 84 ]
49
[ "90-55=35", "1*84=84", "84-35=49" ]
Current State: 49:[55, 90, 1, 84], Operations: [] Exploring Operation: 90-55=35, Resulting Numbers: [1, 84, 35] Generated Node #2: [1, 84, 35] from Operation: 90-55=35 Current State: 49:[1, 84, 35], Operations: ['90-55=35'] Exploring Operation: 1*84=84, Resulting Numbers: [35, 84] Generated Node #3: [35, 84] from Operation: 1*84=84 Current State: 49:[35, 84], Operations: ['90-55=35', '1*84=84'] Exploring Operation: 84-35=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 34, 42, 4, 14 ]
77
[ "34*14=476", "476/4=119", "119-42=77" ]
Current State: 77:[34, 42, 4, 14], Operations: [] Exploring Operation: 34*14=476, Resulting Numbers: [42, 4, 476] Generated Node #2: [42, 4, 476] from Operation: 34*14=476 Current State: 77:[42, 4, 476], Operations: ['34*14=476'] Exploring Operation: 476/4=119, Resulting Numbers: [42, 119] Generated Node #3: [42, 119] from Operation: 476/4=119 Current State: 77:[42, 119], Operations: ['34*14=476', '476/4=119'] Exploring Operation: 119-42=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 24, 37, 20, 91 ]
21
[ "20+91=111", "111/37=3", "24-3=21" ]
Current State: 21:[24, 37, 20, 91], Operations: [] Exploring Operation: 20+91=111, Resulting Numbers: [24, 37, 111] Generated Node #2: [24, 37, 111] from Operation: 20+91=111 Current State: 21:[24, 37, 111], Operations: ['20+91=111'] Exploring Operation: 111/37=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 111/37=3 Current State: 21:[24, 3], Operations: ['20+91=111', '111/37=3'] Exploring Operation: 24-3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 44, 34, 12, 16 ]
68
[ "44-12=32", "34*32=1088", "1088/16=68" ]
Current State: 68:[44, 34, 12, 16], Operations: [] Exploring Operation: 44-12=32, Resulting Numbers: [34, 16, 32] Generated Node #2: [34, 16, 32] from Operation: 44-12=32 Current State: 68:[34, 16, 32], Operations: ['44-12=32'] Exploring Operation: 34*32=1088, Resulting Numbers: [16, 1088] Generated Node #3: [16, 1088] from Operation: 34*32=1088 Current State: 68:[16, 1088], Operations: ['44-12=32', '34*32=1088'] Exploring Operation: 1088/16=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 58, 55, 49, 53 ]
34
[ "58-55=3", "49+53=102", "102/3=34" ]
Current State: 34:[58, 55, 49, 53], Operations: [] Exploring Operation: 58-55=3, Resulting Numbers: [49, 53, 3] Generated Node #2: [49, 53, 3] from Operation: 58-55=3 Current State: 34:[49, 53, 3], Operations: ['58-55=3'] Exploring Operation: 49+53=102, Resulting Numbers: [3, 102] Generated Node #3: [3, 102] from Operation: 49+53=102 Current State: 34:[3, 102], Operations: ['58-55=3', '49+53=102'] Exploring Operation: 102/3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 18, 20, 70, 78 ]
10
[ "20-18=2", "78-70=8", "2+8=10" ]
Current State: 10:[18, 20, 70, 78], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [70, 78, 2] Generated Node #2: [70, 78, 2] from Operation: 20-18=2 Current State: 10:[70, 78, 2], Operations: ['20-18=2'] Exploring Operation: 78-70=8, Resulting Numbers: [2, 8] Generated Node #3: [2, 8] from Operation: 78-70=8 Current State: 10:[2, 8], Operations: ['20-18=2', '78-70=8'] Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 83, 14, 89, 76 ]
82
[ "83-14=69", "89-76=13", "69+13=82" ]
Current State: 82:[83, 14, 89, 76], Operations: [] Exploring Operation: 83-14=69, Resulting Numbers: [89, 76, 69] Generated Node #2: [89, 76, 69] from Operation: 83-14=69 Current State: 82:[89, 76, 69], Operations: ['83-14=69'] Exploring Operation: 89-76=13, Resulting Numbers: [69, 13] Generated Node #3: [69, 13] from Operation: 89-76=13 Current State: 82:[69, 13], Operations: ['83-14=69', '89-76=13'] Exploring Operation: 69+13=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 57, 84, 26, 74 ]
93
[ "57+84=141", "74-26=48", "141-48=93" ]
Current State: 93:[57, 84, 26, 74], Operations: [] Exploring Operation: 57+84=141, Resulting Numbers: [26, 74, 141] Generated Node #2: [26, 74, 141] from Operation: 57+84=141 Current State: 93:[26, 74, 141], Operations: ['57+84=141'] Exploring Operation: 74-26=48, Resulting Numbers: [141, 48] Generated Node #3: [141, 48] from Operation: 74-26=48 Current State: 93:[141, 48], Operations: ['57+84=141', '74-26=48'] Exploring Operation: 141-48=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 2, 31, 44, 63 ]
28
[ "63-31=32", "32/2=16", "44-16=28" ]
Current State: 28:[2, 31, 44, 63], Operations: [] Exploring Operation: 63-31=32, Resulting Numbers: [2, 44, 32] Generated Node #2: [2, 44, 32] from Operation: 63-31=32 Current State: 28:[2, 44, 32], Operations: ['63-31=32'] Exploring Operation: 32/2=16, Resulting Numbers: [44, 16] Generated Node #3: [44, 16] from Operation: 32/2=16 Current State: 28:[44, 16], Operations: ['63-31=32', '32/2=16'] Exploring Operation: 44-16=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 56, 43, 2, 46 ]
48
[ "56-46=10", "10/2=5", "43+5=48" ]
Current State: 48:[56, 43, 2, 46], Operations: [] Exploring Operation: 56-46=10, Resulting Numbers: [43, 2, 10] Generated Node #2: [43, 2, 10] from Operation: 56-46=10 Current State: 48:[43, 2, 10], Operations: ['56-46=10'] Exploring Operation: 10/2=5, Resulting Numbers: [43, 5] Generated Node #3: [43, 5] from Operation: 10/2=5 Current State: 48:[43, 5], Operations: ['56-46=10', '10/2=5'] Exploring Operation: 43+5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 37, 29, 85, 67 ]
84
[ "37+29=66", "85-67=18", "66+18=84" ]
Current State: 84:[37, 29, 85, 67], Operations: [] Exploring Operation: 37+29=66, Resulting Numbers: [85, 67, 66] Generated Node #2: [85, 67, 66] from Operation: 37+29=66 Current State: 84:[85, 67, 66], Operations: ['37+29=66'] Exploring Operation: 85-67=18, Resulting Numbers: [66, 18] Generated Node #3: [66, 18] from Operation: 85-67=18 Current State: 84:[66, 18], Operations: ['37+29=66', '85-67=18'] Exploring Operation: 66+18=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 98, 24, 60, 77 ]
91
[ "98-24=74", "77-60=17", "74+17=91" ]
Current State: 91:[98, 24, 60, 77], Operations: [] Exploring Operation: 98-24=74, Resulting Numbers: [60, 77, 74] Generated Node #2: [60, 77, 74] from Operation: 98-24=74 Current State: 91:[60, 77, 74], Operations: ['98-24=74'] Exploring Operation: 77-60=17, Resulting Numbers: [74, 17] Generated Node #3: [74, 17] from Operation: 77-60=17 Current State: 91:[74, 17], Operations: ['98-24=74', '77-60=17'] Exploring Operation: 74+17=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 40, 43, 25, 9 ]
84
[ "43-40=3", "25*3=75", "9+75=84" ]
Current State: 84:[40, 43, 25, 9], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [25, 9, 3] Generated Node #2: [25, 9, 3] from Operation: 43-40=3 Current State: 84:[25, 9, 3], Operations: ['43-40=3'] Exploring Operation: 25*3=75, Resulting Numbers: [9, 75] Generated Node #3: [9, 75] from Operation: 25*3=75 Current State: 84:[9, 75], Operations: ['43-40=3', '25*3=75'] Exploring Operation: 9+75=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 4, 53, 5, 7 ]
61
[ "53-4=49", "5+7=12", "49+12=61" ]
Current State: 61:[4, 53, 5, 7], Operations: [] Exploring Operation: 53-4=49, Resulting Numbers: [5, 7, 49] Generated Node #2: [5, 7, 49] from Operation: 53-4=49 Current State: 61:[5, 7, 49], Operations: ['53-4=49'] Exploring Operation: 5+7=12, Resulting Numbers: [49, 12] Generated Node #3: [49, 12] from Operation: 5+7=12 Current State: 61:[49, 12], Operations: ['53-4=49', '5+7=12'] Exploring Operation: 49+12=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 34, 1, 96, 22 ]
83
[ "34+1=35", "96+22=118", "118-35=83" ]
Current State: 83:[34, 1, 96, 22], Operations: [] Exploring Operation: 34+1=35, Resulting Numbers: [96, 22, 35] Generated Node #2: [96, 22, 35] from Operation: 34+1=35 Current State: 83:[96, 22, 35], Operations: ['34+1=35'] Exploring Operation: 96+22=118, Resulting Numbers: [35, 118] Generated Node #3: [35, 118] from Operation: 96+22=118 Current State: 83:[35, 118], Operations: ['34+1=35', '96+22=118'] Exploring Operation: 118-35=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 87, 79, 85, 14 ]
67
[ "87+79=166", "85+14=99", "166-99=67" ]
Current State: 67:[87, 79, 85, 14], Operations: [] Exploring Operation: 87+79=166, Resulting Numbers: [85, 14, 166] Generated Node #2: [85, 14, 166] from Operation: 87+79=166 Current State: 67:[85, 14, 166], Operations: ['87+79=166'] Exploring Operation: 85+14=99, Resulting Numbers: [166, 99] Generated Node #3: [166, 99] from Operation: 85+14=99 Current State: 67:[166, 99], Operations: ['87+79=166', '85+14=99'] Exploring Operation: 166-99=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 38, 45, 42, 70 ]
84
[ "45*70=3150", "42+3150=3192", "3192/38=84" ]
Current State: 84:[38, 45, 42, 70], Operations: [] Exploring Operation: 45*70=3150, Resulting Numbers: [38, 42, 3150] Generated Node #2: [38, 42, 3150] from Operation: 45*70=3150 Current State: 84:[38, 42, 3150], Operations: ['45*70=3150'] Exploring Operation: 42+3150=3192, Resulting Numbers: [38, 3192] Generated Node #3: [38, 3192] from Operation: 42+3150=3192 Current State: 84:[38, 3192], Operations: ['45*70=3150', '42+3150=3192'] Exploring Operation: 3192/38=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 36, 62, 40, 82 ]
80
[ "40-36=4", "82-62=20", "4*20=80" ]
Current State: 80:[36, 62, 40, 82], Operations: [] Exploring Operation: 40-36=4, Resulting Numbers: [62, 82, 4] Generated Node #2: [62, 82, 4] from Operation: 40-36=4 Current State: 80:[62, 82, 4], Operations: ['40-36=4'] Exploring Operation: 82-62=20, Resulting Numbers: [4, 20] Generated Node #3: [4, 20] from Operation: 82-62=20 Current State: 80:[4, 20], Operations: ['40-36=4', '82-62=20'] Exploring Operation: 4*20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 68, 1, 23, 57 ]
54
[ "68+1=69", "69/23=3", "57-3=54" ]
Current State: 54:[68, 1, 23, 57], Operations: [] Exploring Operation: 68+1=69, Resulting Numbers: [23, 57, 69] Generated Node #2: [23, 57, 69] from Operation: 68+1=69 Current State: 54:[23, 57, 69], Operations: ['68+1=69'] Exploring Operation: 69/23=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 69/23=3 Current State: 54:[57, 3], Operations: ['68+1=69', '69/23=3'] Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 13, 56, 96, 16 ]
49
[ "56-13=43", "96/16=6", "43+6=49" ]
Current State: 49:[13, 56, 96, 16], Operations: [] Exploring Operation: 56-13=43, Resulting Numbers: [96, 16, 43] Generated Node #2: [96, 16, 43] from Operation: 56-13=43 Current State: 49:[96, 16, 43], Operations: ['56-13=43'] Exploring Operation: 96/16=6, Resulting Numbers: [43, 6] Generated Node #3: [43, 6] from Operation: 96/16=6 Current State: 49:[43, 6], Operations: ['56-13=43', '96/16=6'] Exploring Operation: 43+6=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 88, 3, 38, 61 ]
33
[ "88-38=50", "61-50=11", "3*11=33" ]
Current State: 33:[88, 3, 38, 61], Operations: [] Exploring Operation: 88-38=50, Resulting Numbers: [3, 61, 50] Generated Node #2: [3, 61, 50] from Operation: 88-38=50 Current State: 33:[3, 61, 50], Operations: ['88-38=50'] Exploring Operation: 61-50=11, Resulting Numbers: [3, 11] Generated Node #3: [3, 11] from Operation: 61-50=11 Current State: 33:[3, 11], Operations: ['88-38=50', '61-50=11'] Exploring Operation: 3*11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 13, 75, 37, 82 ]
54
[ "82-75=7", "13*7=91", "91-37=54" ]
Current State: 54:[13, 75, 37, 82], Operations: [] Exploring Operation: 82-75=7, Resulting Numbers: [13, 37, 7] Generated Node #2: [13, 37, 7] from Operation: 82-75=7 Current State: 54:[13, 37, 7], Operations: ['82-75=7'] Exploring Operation: 13*7=91, Resulting Numbers: [37, 91] Generated Node #3: [37, 91] from Operation: 13*7=91 Current State: 54:[37, 91], Operations: ['82-75=7', '13*7=91'] Exploring Operation: 91-37=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 25, 93, 55, 41 ]
75
[ "93-55=38", "41-38=3", "25*3=75" ]
Current State: 75:[25, 93, 55, 41], Operations: [] Exploring Operation: 93-55=38, Resulting Numbers: [25, 41, 38] Generated Node #2: [25, 41, 38] from Operation: 93-55=38 Current State: 75:[25, 41, 38], Operations: ['93-55=38'] Exploring Operation: 41-38=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 41-38=3 Current State: 75:[25, 3], Operations: ['93-55=38', '41-38=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 4, 77, 28, 95 ]
44
[ "95-77=18", "4*18=72", "72-28=44" ]
Current State: 44:[4, 77, 28, 95], Operations: [] Exploring Operation: 95-77=18, Resulting Numbers: [4, 28, 18] Generated Node #2: [4, 28, 18] from Operation: 95-77=18 Current State: 44:[4, 28, 18], Operations: ['95-77=18'] Exploring Operation: 4*18=72, Resulting Numbers: [28, 72] Generated Node #3: [28, 72] from Operation: 4*18=72 Current State: 44:[28, 72], Operations: ['95-77=18', '4*18=72'] Exploring Operation: 72-28=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 54, 16, 18, 79 ]
52
[ "18-16=2", "54/2=27", "79-27=52" ]
Current State: 52:[54, 16, 18, 79], Operations: [] Exploring Operation: 18-16=2, Resulting Numbers: [54, 79, 2] Generated Node #2: [54, 79, 2] from Operation: 18-16=2 Current State: 52:[54, 79, 2], Operations: ['18-16=2'] Exploring Operation: 54/2=27, Resulting Numbers: [79, 27] Generated Node #3: [79, 27] from Operation: 54/2=27 Current State: 52:[79, 27], Operations: ['18-16=2', '54/2=27'] Exploring Operation: 79-27=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 88, 38, 2, 33 ]
74
[ "88-33=55", "38/2=19", "55+19=74" ]
Current State: 74:[88, 38, 2, 33], Operations: [] Exploring Operation: 88-33=55, Resulting Numbers: [38, 2, 55] Generated Node #2: [38, 2, 55] from Operation: 88-33=55 Current State: 74:[38, 2, 55], Operations: ['88-33=55'] Exploring Operation: 38/2=19, Resulting Numbers: [55, 19] Generated Node #3: [55, 19] from Operation: 38/2=19 Current State: 74:[55, 19], Operations: ['88-33=55', '38/2=19'] Exploring Operation: 55+19=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 24, 52, 18, 32 ]
71
[ "52*18=936", "936/24=39", "32+39=71" ]
Current State: 71:[24, 52, 18, 32], Operations: [] Exploring Operation: 52*18=936, Resulting Numbers: [24, 32, 936] Generated Node #2: [24, 32, 936] from Operation: 52*18=936 Current State: 71:[24, 32, 936], Operations: ['52*18=936'] Exploring Operation: 936/24=39, Resulting Numbers: [32, 39] Generated Node #3: [32, 39] from Operation: 936/24=39 Current State: 71:[32, 39], Operations: ['52*18=936', '936/24=39'] Exploring Operation: 32+39=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 83, 87, 17, 14 ]
82
[ "87-83=4", "17*4=68", "14+68=82" ]
Current State: 82:[83, 87, 17, 14], Operations: [] Exploring Operation: 87-83=4, Resulting Numbers: [17, 14, 4] Generated Node #2: [17, 14, 4] from Operation: 87-83=4 Current State: 82:[17, 14, 4], Operations: ['87-83=4'] Exploring Operation: 17*4=68, Resulting Numbers: [14, 68] Generated Node #3: [14, 68] from Operation: 17*4=68 Current State: 82:[14, 68], Operations: ['87-83=4', '17*4=68'] Exploring Operation: 14+68=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 33, 70, 69, 40 ]
73
[ "33+40=73", "70-69=1", "73*1=73" ]
Current State: 73:[33, 70, 69, 40], Operations: [] Exploring Operation: 33+40=73, Resulting Numbers: [70, 69, 73] Generated Node #2: [70, 69, 73] from Operation: 33+40=73 Current State: 73:[70, 69, 73], Operations: ['33+40=73'] Exploring Operation: 70-69=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 70-69=1 Current State: 73:[73, 1], Operations: ['33+40=73', '70-69=1'] Exploring Operation: 73*1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 5, 98, 80, 78 ]
55
[ "5+98=103", "80+78=158", "158-103=55" ]
Current State: 55:[5, 98, 80, 78], Operations: [] Exploring Operation: 5+98=103, Resulting Numbers: [80, 78, 103] Generated Node #2: [80, 78, 103] from Operation: 5+98=103 Current State: 55:[80, 78, 103], Operations: ['5+98=103'] Exploring Operation: 80+78=158, Resulting Numbers: [103, 158] Generated Node #3: [103, 158] from Operation: 80+78=158 Current State: 55:[103, 158], Operations: ['5+98=103', '80+78=158'] Exploring Operation: 158-103=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 35, 13, 21, 17 ]
25
[ "35+17=52", "52/13=4", "21+4=25" ]
Current State: 25:[35, 13, 21, 17], Operations: [] Exploring Operation: 35+17=52, Resulting Numbers: [13, 21, 52] Generated Node #2: [13, 21, 52] from Operation: 35+17=52 Current State: 25:[13, 21, 52], Operations: ['35+17=52'] Exploring Operation: 52/13=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 52/13=4 Current State: 25:[21, 4], Operations: ['35+17=52', '52/13=4'] Exploring Operation: 21+4=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 81, 55, 66, 70 ]
71
[ "81-70=11", "55/11=5", "66+5=71" ]
Current State: 71:[81, 55, 66, 70], Operations: [] Exploring Operation: 81-70=11, Resulting Numbers: [55, 66, 11] Generated Node #2: [55, 66, 11] from Operation: 81-70=11 Current State: 71:[55, 66, 11], Operations: ['81-70=11'] Exploring Operation: 55/11=5, Resulting Numbers: [66, 5] Generated Node #3: [66, 5] from Operation: 55/11=5 Current State: 71:[66, 5], Operations: ['81-70=11', '55/11=5'] Exploring Operation: 66+5=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 10, 68, 22, 9 ]
62
[ "22-9=13", "10*13=130", "130-68=62" ]
Current State: 62:[10, 68, 22, 9], Operations: [] Exploring Operation: 22-9=13, Resulting Numbers: [10, 68, 13] Generated Node #2: [10, 68, 13] from Operation: 22-9=13 Current State: 62:[10, 68, 13], Operations: ['22-9=13'] Exploring Operation: 10*13=130, Resulting Numbers: [68, 130] Generated Node #3: [68, 130] from Operation: 10*13=130 Current State: 62:[68, 130], Operations: ['22-9=13', '10*13=130'] Exploring Operation: 130-68=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 54, 88, 43, 32 ]
46
[ "43-32=11", "88/11=8", "54-8=46" ]
Current State: 46:[54, 88, 43, 32], Operations: [] Exploring Operation: 43-32=11, Resulting Numbers: [54, 88, 11] Generated Node #2: [54, 88, 11] from Operation: 43-32=11 Current State: 46:[54, 88, 11], Operations: ['43-32=11'] Exploring Operation: 88/11=8, Resulting Numbers: [54, 8] Generated Node #3: [54, 8] from Operation: 88/11=8 Current State: 46:[54, 8], Operations: ['43-32=11', '88/11=8'] Exploring Operation: 54-8=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 13, 43, 92, 2 ]
74
[ "13+43=56", "92+56=148", "148/2=74" ]
Current State: 74:[13, 43, 92, 2], Operations: [] Exploring Operation: 13+43=56, Resulting Numbers: [92, 2, 56] Generated Node #2: [92, 2, 56] from Operation: 13+43=56 Current State: 74:[92, 2, 56], Operations: ['13+43=56'] Exploring Operation: 92+56=148, Resulting Numbers: [2, 148] Generated Node #3: [2, 148] from Operation: 92+56=148 Current State: 74:[2, 148], Operations: ['13+43=56', '92+56=148'] Exploring Operation: 148/2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 93, 78, 80, 54 ]
48
[ "93-80=13", "78/13=6", "54-6=48" ]
Current State: 48:[93, 78, 80, 54], Operations: [] Exploring Operation: 93-80=13, Resulting Numbers: [78, 54, 13] Generated Node #2: [78, 54, 13] from Operation: 93-80=13 Current State: 48:[78, 54, 13], Operations: ['93-80=13'] Exploring Operation: 78/13=6, Resulting Numbers: [54, 6] Generated Node #3: [54, 6] from Operation: 78/13=6 Current State: 48:[54, 6], Operations: ['93-80=13', '78/13=6'] Exploring Operation: 54-6=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 5, 34, 3, 40 ]
89
[ "5*3=15", "34+40=74", "15+74=89" ]
Current State: 89:[5, 34, 3, 40], Operations: [] Exploring Operation: 5*3=15, Resulting Numbers: [34, 40, 15] Generated Node #2: [34, 40, 15] from Operation: 5*3=15 Current State: 89:[34, 40, 15], Operations: ['5*3=15'] Exploring Operation: 34+40=74, Resulting Numbers: [15, 74] Generated Node #3: [15, 74] from Operation: 34+40=74 Current State: 89:[15, 74], Operations: ['5*3=15', '34+40=74'] Exploring Operation: 15+74=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 8, 8, 93, 73 ]
20
[ "8-8=0", "93-73=20", "0+20=20" ]
Current State: 20:[8, 8, 93, 73], Operations: [] Exploring Operation: 8-8=0, Resulting Numbers: [93, 73, 0] Generated Node #2: [93, 73, 0] from Operation: 8-8=0 Current State: 20:[93, 73, 0], Operations: ['8-8=0'] Exploring Operation: 93-73=20, Resulting Numbers: [0, 20] Generated Node #3: [0, 20] from Operation: 93-73=20 Current State: 20:[0, 20], Operations: ['8-8=0', '93-73=20'] Exploring Operation: 0+20=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 36, 40, 69, 81 ]
16
[ "40-36=4", "81-69=12", "4+12=16" ]
Current State: 16:[36, 40, 69, 81], Operations: [] Exploring Operation: 40-36=4, Resulting Numbers: [69, 81, 4] Generated Node #2: [69, 81, 4] from Operation: 40-36=4 Current State: 16:[69, 81, 4], Operations: ['40-36=4'] Exploring Operation: 81-69=12, Resulting Numbers: [4, 12] Generated Node #3: [4, 12] from Operation: 81-69=12 Current State: 16:[4, 12], Operations: ['40-36=4', '81-69=12'] Exploring Operation: 4+12=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 58, 31, 25, 21 ]
68
[ "31-25=6", "21*6=126", "126-58=68" ]
Current State: 68:[58, 31, 25, 21], Operations: [] Exploring Operation: 31-25=6, Resulting Numbers: [58, 21, 6] Generated Node #2: [58, 21, 6] from Operation: 31-25=6 Current State: 68:[58, 21, 6], Operations: ['31-25=6'] Exploring Operation: 21*6=126, Resulting Numbers: [58, 126] Generated Node #3: [58, 126] from Operation: 21*6=126 Current State: 68:[58, 126], Operations: ['31-25=6', '21*6=126'] Exploring Operation: 126-58=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4