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
[ 55, 82, 6, 18 ]
24
[ "82-55=27", "18/6=3", "27-3=24" ]
Current State: 24:[55, 82, 6, 18], Operations: [] Exploring Operation: 82-55=27, Resulting Numbers: [6, 18, 27] Generated Node #2: [6, 18, 27] from Operation: 82-55=27 Current State: 24:[6, 18, 27], Operations: ['82-55=27'] Exploring Operation: 18/6=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 18/6=3 Current State: 24:[27, 3], Operations: ['82-55=27', '18/6=3'] Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 16, 45, 90, 90 ]
37
[ "90-16=74", "90/45=2", "74/2=37" ]
Current State: 37:[16, 45, 90, 90], Operations: [] Exploring Operation: 90-16=74, Resulting Numbers: [45, 74] Generated Node #2: [45, 74] from Operation: 90-16=74 Current State: 37:[45, 74], Operations: ['90-16=74'] Exploring Operation: 90/45=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 90/45=2 Current State: 37:[74, 2], Operations: ['90-16=74', '90/45=2'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 50, 52, 14, 66 ]
38
[ "52-50=2", "14*2=28", "66-28=38" ]
Current State: 38:[50, 52, 14, 66], Operations: [] Exploring Operation: 52-50=2, Resulting Numbers: [14, 66, 2] Generated Node #2: [14, 66, 2] from Operation: 52-50=2 Current State: 38:[14, 66, 2], Operations: ['52-50=2'] Exploring Operation: 14*2=28, Resulting Numbers: [66, 28] Generated Node #3: [66, 28] from Operation: 14*2=28 Current State: 38:[66, 28], Operations: ['52-50=2', '14*2=28'] Exploring Operation: 66-28=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 15, 54, 12, 7 ]
99
[ "15+7=22", "54*22=1188", "1188/12=99" ]
Current State: 99:[15, 54, 12, 7], Operations: [] Exploring Operation: 15+7=22, Resulting Numbers: [54, 12, 22] Generated Node #2: [54, 12, 22] from Operation: 15+7=22 Current State: 99:[54, 12, 22], Operations: ['15+7=22'] Exploring Operation: 54*22=1188, Resulting Numbers: [12, 1188] Generated Node #3: [12, 1188] from Operation: 54*22=1188 Current State: 99:[12, 1188], Operations: ['15+7=22', '54*22=1188'] Exploring Operation: 1188/12=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 6, 89, 19, 29 ]
93
[ "89-6=83", "29-19=10", "83+10=93" ]
Current State: 93:[6, 89, 19, 29], Operations: [] Exploring Operation: 89-6=83, Resulting Numbers: [19, 29, 83] Generated Node #2: [19, 29, 83] from Operation: 89-6=83 Current State: 93:[19, 29, 83], Operations: ['89-6=83'] Exploring Operation: 29-19=10, Resulting Numbers: [83, 10] Generated Node #3: [83, 10] from Operation: 29-19=10 Current State: 93:[83, 10], Operations: ['89-6=83', '29-19=10'] Exploring Operation: 83+10=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 83, 56, 46, 2 ]
78
[ "56-46=10", "10/2=5", "83-5=78" ]
Current State: 78:[83, 56, 46, 2], Operations: [] Exploring Operation: 56-46=10, Resulting Numbers: [83, 2, 10] Generated Node #2: [83, 2, 10] from Operation: 56-46=10 Current State: 78:[83, 2, 10], Operations: ['56-46=10'] Exploring Operation: 10/2=5, Resulting Numbers: [83, 5] Generated Node #3: [83, 5] from Operation: 10/2=5 Current State: 78:[83, 5], Operations: ['56-46=10', '10/2=5'] Exploring Operation: 83-5=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 16, 65, 79, 37 ]
74
[ "16+65=81", "81-79=2", "37*2=74" ]
Current State: 74:[16, 65, 79, 37], Operations: [] Exploring Operation: 16+65=81, Resulting Numbers: [79, 37, 81] Generated Node #2: [79, 37, 81] from Operation: 16+65=81 Current State: 74:[79, 37, 81], Operations: ['16+65=81'] Exploring Operation: 81-79=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 81-79=2 Current State: 74:[37, 2], Operations: ['16+65=81', '81-79=2'] Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 4, 78, 93, 91 ]
39
[ "93-4=89", "91-89=2", "78/2=39" ]
Current State: 39:[4, 78, 93, 91], Operations: [] Exploring Operation: 93-4=89, Resulting Numbers: [78, 91, 89] Generated Node #2: [78, 91, 89] from Operation: 93-4=89 Current State: 39:[78, 91, 89], Operations: ['93-4=89'] Exploring Operation: 91-89=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 91-89=2 Current State: 39:[78, 2], Operations: ['93-4=89', '91-89=2'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 68, 5, 70, 58 ]
72
[ "68-58=10", "10/5=2", "70+2=72" ]
Current State: 72:[68, 5, 70, 58], Operations: [] Exploring Operation: 68-58=10, Resulting Numbers: [5, 70, 10] Generated Node #2: [5, 70, 10] from Operation: 68-58=10 Current State: 72:[5, 70, 10], Operations: ['68-58=10'] Exploring Operation: 10/5=2, Resulting Numbers: [70, 2] Generated Node #3: [70, 2] from Operation: 10/5=2 Current State: 72:[70, 2], Operations: ['68-58=10', '10/5=2'] Exploring Operation: 70+2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 56, 96, 30, 58 ]
98
[ "58-30=28", "56/28=2", "96+2=98" ]
Current State: 98:[56, 96, 30, 58], Operations: [] Exploring Operation: 58-30=28, Resulting Numbers: [56, 96, 28] Generated Node #2: [56, 96, 28] from Operation: 58-30=28 Current State: 98:[56, 96, 28], Operations: ['58-30=28'] Exploring Operation: 56/28=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 56/28=2 Current State: 98:[96, 2], Operations: ['58-30=28', '56/28=2'] Exploring Operation: 96+2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 33, 38, 6, 67 ]
97
[ "38-33=5", "6*5=30", "67+30=97" ]
Current State: 97:[33, 38, 6, 67], Operations: [] Exploring Operation: 38-33=5, Resulting Numbers: [6, 67, 5] Generated Node #2: [6, 67, 5] from Operation: 38-33=5 Current State: 97:[6, 67, 5], Operations: ['38-33=5'] Exploring Operation: 6*5=30, Resulting Numbers: [67, 30] Generated Node #3: [67, 30] from Operation: 6*5=30 Current State: 97:[67, 30], Operations: ['38-33=5', '6*5=30'] Exploring Operation: 67+30=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 47, 26, 27, 24 ]
18
[ "47-26=21", "27-24=3", "21-3=18" ]
Current State: 18:[47, 26, 27, 24], Operations: [] Exploring Operation: 47-26=21, Resulting Numbers: [27, 24, 21] Generated Node #2: [27, 24, 21] from Operation: 47-26=21 Current State: 18:[27, 24, 21], Operations: ['47-26=21'] Exploring Operation: 27-24=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 27-24=3 Current State: 18:[21, 3], Operations: ['47-26=21', '27-24=3'] Exploring Operation: 21-3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 19, 97, 15, 18 ]
40
[ "18-15=3", "19*3=57", "97-57=40" ]
Current State: 40:[19, 97, 15, 18], Operations: [] Exploring Operation: 18-15=3, Resulting Numbers: [19, 97, 3] Generated Node #2: [19, 97, 3] from Operation: 18-15=3 Current State: 40:[19, 97, 3], Operations: ['18-15=3'] Exploring Operation: 19*3=57, Resulting Numbers: [97, 57] Generated Node #3: [97, 57] from Operation: 19*3=57 Current State: 40:[97, 57], Operations: ['18-15=3', '19*3=57'] Exploring Operation: 97-57=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 79, 95, 85, 53 ]
36
[ "79+95=174", "85+53=138", "174-138=36" ]
Current State: 36:[79, 95, 85, 53], Operations: [] Exploring Operation: 79+95=174, Resulting Numbers: [85, 53, 174] Generated Node #2: [85, 53, 174] from Operation: 79+95=174 Current State: 36:[85, 53, 174], Operations: ['79+95=174'] Exploring Operation: 85+53=138, Resulting Numbers: [174, 138] Generated Node #3: [174, 138] from Operation: 85+53=138 Current State: 36:[174, 138], Operations: ['79+95=174', '85+53=138'] Exploring Operation: 174-138=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 11, 6, 30, 15 ]
16
[ "11*30=330", "330/15=22", "22-6=16" ]
Current State: 16:[11, 6, 30, 15], Operations: [] Exploring Operation: 11*30=330, Resulting Numbers: [6, 15, 330] Generated Node #2: [6, 15, 330] from Operation: 11*30=330 Current State: 16:[6, 15, 330], Operations: ['11*30=330'] Exploring Operation: 330/15=22, Resulting Numbers: [6, 22] Generated Node #3: [6, 22] from Operation: 330/15=22 Current State: 16:[6, 22], Operations: ['11*30=330', '330/15=22'] Exploring Operation: 22-6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 15, 56, 51, 4 ]
65
[ "51-15=36", "36/4=9", "56+9=65" ]
Current State: 65:[15, 56, 51, 4], Operations: [] Exploring Operation: 51-15=36, Resulting Numbers: [56, 4, 36] Generated Node #2: [56, 4, 36] from Operation: 51-15=36 Current State: 65:[56, 4, 36], Operations: ['51-15=36'] Exploring Operation: 36/4=9, Resulting Numbers: [56, 9] Generated Node #3: [56, 9] from Operation: 36/4=9 Current State: 65:[56, 9], Operations: ['51-15=36', '36/4=9'] Exploring Operation: 56+9=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 67, 39, 25, 80 ]
51
[ "67+39=106", "80-25=55", "106-55=51" ]
Current State: 51:[67, 39, 25, 80], Operations: [] Exploring Operation: 67+39=106, Resulting Numbers: [25, 80, 106] Generated Node #2: [25, 80, 106] from Operation: 67+39=106 Current State: 51:[25, 80, 106], Operations: ['67+39=106'] Exploring Operation: 80-25=55, Resulting Numbers: [106, 55] Generated Node #3: [106, 55] from Operation: 80-25=55 Current State: 51:[106, 55], Operations: ['67+39=106', '80-25=55'] Exploring Operation: 106-55=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 28, 29, 18, 26 ]
87
[ "28+26=54", "29*54=1566", "1566/18=87" ]
Current State: 87:[28, 29, 18, 26], Operations: [] Exploring Operation: 28+26=54, Resulting Numbers: [29, 18, 54] Generated Node #2: [29, 18, 54] from Operation: 28+26=54 Current State: 87:[29, 18, 54], Operations: ['28+26=54'] Exploring Operation: 29*54=1566, Resulting Numbers: [18, 1566] Generated Node #3: [18, 1566] from Operation: 29*54=1566 Current State: 87:[18, 1566], Operations: ['28+26=54', '29*54=1566'] Exploring Operation: 1566/18=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 21, 63, 64, 1 ]
66
[ "63/21=3", "64-1=63", "3+63=66" ]
Current State: 66:[21, 63, 64, 1], Operations: [] Exploring Operation: 63/21=3, Resulting Numbers: [64, 1, 3] Generated Node #2: [64, 1, 3] from Operation: 63/21=3 Current State: 66:[64, 1, 3], Operations: ['63/21=3'] Exploring Operation: 64-1=63, Resulting Numbers: [3, 63] Generated Node #3: [3, 63] from Operation: 64-1=63 Current State: 66:[3, 63], Operations: ['63/21=3', '64-1=63'] Exploring Operation: 3+63=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 26, 73, 15, 4 ]
88
[ "26+73=99", "15-4=11", "99-11=88" ]
Current State: 88:[26, 73, 15, 4], Operations: [] Exploring Operation: 26+73=99, Resulting Numbers: [15, 4, 99] Generated Node #2: [15, 4, 99] from Operation: 26+73=99 Current State: 88:[15, 4, 99], Operations: ['26+73=99'] Exploring Operation: 15-4=11, Resulting Numbers: [99, 11] Generated Node #3: [99, 11] from Operation: 15-4=11 Current State: 88:[99, 11], Operations: ['26+73=99', '15-4=11'] Exploring Operation: 99-11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 2, 79, 56, 32 ]
41
[ "2*32=64", "79-56=23", "64-23=41" ]
Current State: 41:[2, 79, 56, 32], Operations: [] Exploring Operation: 2*32=64, Resulting Numbers: [79, 56, 64] Generated Node #2: [79, 56, 64] from Operation: 2*32=64 Current State: 41:[79, 56, 64], Operations: ['2*32=64'] Exploring Operation: 79-56=23, Resulting Numbers: [64, 23] Generated Node #3: [64, 23] from Operation: 79-56=23 Current State: 41:[64, 23], Operations: ['2*32=64', '79-56=23'] Exploring Operation: 64-23=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 41, 56, 73, 66 ]
49
[ "73-66=7", "56/7=8", "41+8=49" ]
Current State: 49:[41, 56, 73, 66], Operations: [] Exploring Operation: 73-66=7, Resulting Numbers: [41, 56, 7] Generated Node #2: [41, 56, 7] from Operation: 73-66=7 Current State: 49:[41, 56, 7], Operations: ['73-66=7'] Exploring Operation: 56/7=8, Resulting Numbers: [41, 8] Generated Node #3: [41, 8] from Operation: 56/7=8 Current State: 49:[41, 8], Operations: ['73-66=7', '56/7=8'] Exploring Operation: 41+8=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 22, 18, 50, 35 ]
39
[ "22+50=72", "72/18=4", "35+4=39" ]
Current State: 39:[22, 18, 50, 35], Operations: [] Exploring Operation: 22+50=72, Resulting Numbers: [18, 35, 72] Generated Node #2: [18, 35, 72] from Operation: 22+50=72 Current State: 39:[18, 35, 72], Operations: ['22+50=72'] Exploring Operation: 72/18=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 72/18=4 Current State: 39:[35, 4], Operations: ['22+50=72', '72/18=4'] Exploring Operation: 35+4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 76, 77, 30, 13 ]
73
[ "77+13=90", "90/30=3", "76-3=73" ]
Current State: 73:[76, 77, 30, 13], Operations: [] Exploring Operation: 77+13=90, Resulting Numbers: [76, 30, 90] Generated Node #2: [76, 30, 90] from Operation: 77+13=90 Current State: 73:[76, 30, 90], Operations: ['77+13=90'] Exploring Operation: 90/30=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 90/30=3 Current State: 73:[76, 3], Operations: ['77+13=90', '90/30=3'] Exploring Operation: 76-3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 33, 55, 34, 59 ]
71
[ "55-33=22", "34+59=93", "93-22=71" ]
Current State: 71:[33, 55, 34, 59], Operations: [] Exploring Operation: 55-33=22, Resulting Numbers: [34, 59, 22] Generated Node #2: [34, 59, 22] from Operation: 55-33=22 Current State: 71:[34, 59, 22], Operations: ['55-33=22'] Exploring Operation: 34+59=93, Resulting Numbers: [22, 93] Generated Node #3: [22, 93] from Operation: 34+59=93 Current State: 71:[22, 93], Operations: ['55-33=22', '34+59=93'] Exploring Operation: 93-22=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 76, 57, 27, 3 ]
84
[ "76-57=19", "3*19=57", "27+57=84" ]
Current State: 84:[76, 57, 27, 3], Operations: [] Exploring Operation: 76-57=19, Resulting Numbers: [27, 3, 19] Generated Node #2: [27, 3, 19] from Operation: 76-57=19 Current State: 84:[27, 3, 19], Operations: ['76-57=19'] Exploring Operation: 3*19=57, Resulting Numbers: [27, 57] Generated Node #3: [27, 57] from Operation: 3*19=57 Current State: 84:[27, 57], Operations: ['76-57=19', '3*19=57'] Exploring Operation: 27+57=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 29, 3, 97, 70 ]
28
[ "29+97=126", "126/3=42", "70-42=28" ]
Current State: 28:[29, 3, 97, 70], Operations: [] Exploring Operation: 29+97=126, Resulting Numbers: [3, 70, 126] Generated Node #2: [3, 70, 126] from Operation: 29+97=126 Current State: 28:[3, 70, 126], Operations: ['29+97=126'] Exploring Operation: 126/3=42, Resulting Numbers: [70, 42] Generated Node #3: [70, 42] from Operation: 126/3=42 Current State: 28:[70, 42], Operations: ['29+97=126', '126/3=42'] Exploring Operation: 70-42=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 43, 80, 19, 84 ]
96
[ "43-19=24", "84-80=4", "24*4=96" ]
Current State: 96:[43, 80, 19, 84], Operations: [] Exploring Operation: 43-19=24, Resulting Numbers: [80, 84, 24] Generated Node #2: [80, 84, 24] from Operation: 43-19=24 Current State: 96:[80, 84, 24], Operations: ['43-19=24'] Exploring Operation: 84-80=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 84-80=4 Current State: 96:[24, 4], Operations: ['43-19=24', '84-80=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 61, 36, 17, 76 ]
68
[ "61-36=25", "17+76=93", "93-25=68" ]
Current State: 68:[61, 36, 17, 76], Operations: [] Exploring Operation: 61-36=25, Resulting Numbers: [17, 76, 25] Generated Node #2: [17, 76, 25] from Operation: 61-36=25 Current State: 68:[17, 76, 25], Operations: ['61-36=25'] Exploring Operation: 17+76=93, Resulting Numbers: [25, 93] Generated Node #3: [25, 93] from Operation: 17+76=93 Current State: 68:[25, 93], Operations: ['61-36=25', '17+76=93'] Exploring Operation: 93-25=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 25, 33, 6, 31 ]
69
[ "31-25=6", "6*6=36", "33+36=69" ]
Current State: 69:[25, 33, 6, 31], Operations: [] Exploring Operation: 31-25=6, Resulting Numbers: [33, 6, 6] Generated Node #2: [33, 6, 6] from Operation: 31-25=6 Current State: 69:[33, 6, 6], Operations: ['31-25=6'] Exploring Operation: 6*6=36, Resulting Numbers: [33, 36] Generated Node #3: [33, 36] from Operation: 6*6=36 Current State: 69:[33, 36], Operations: ['31-25=6', '6*6=36'] Exploring Operation: 33+36=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 50, 87, 21, 34 ]
18
[ "87-50=37", "21+34=55", "55-37=18" ]
Current State: 18:[50, 87, 21, 34], Operations: [] Exploring Operation: 87-50=37, Resulting Numbers: [21, 34, 37] Generated Node #2: [21, 34, 37] from Operation: 87-50=37 Current State: 18:[21, 34, 37], Operations: ['87-50=37'] Exploring Operation: 21+34=55, Resulting Numbers: [37, 55] Generated Node #3: [37, 55] from Operation: 21+34=55 Current State: 18:[37, 55], Operations: ['87-50=37', '21+34=55'] Exploring Operation: 55-37=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 70, 76, 20, 48 ]
74
[ "76-70=6", "20+48=68", "6+68=74" ]
Current State: 74:[70, 76, 20, 48], Operations: [] Exploring Operation: 76-70=6, Resulting Numbers: [20, 48, 6] Generated Node #2: [20, 48, 6] from Operation: 76-70=6 Current State: 74:[20, 48, 6], Operations: ['76-70=6'] Exploring Operation: 20+48=68, Resulting Numbers: [6, 68] Generated Node #3: [6, 68] from Operation: 20+48=68 Current State: 74:[6, 68], Operations: ['76-70=6', '20+48=68'] Exploring Operation: 6+68=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 60, 2, 11, 5 ]
95
[ "60/2=30", "30-11=19", "5*19=95" ]
Current State: 95:[60, 2, 11, 5], Operations: [] Exploring Operation: 60/2=30, Resulting Numbers: [11, 5, 30] Generated Node #2: [11, 5, 30] from Operation: 60/2=30 Current State: 95:[11, 5, 30], Operations: ['60/2=30'] Exploring Operation: 30-11=19, Resulting Numbers: [5, 19] Generated Node #3: [5, 19] from Operation: 30-11=19 Current State: 95:[5, 19], Operations: ['60/2=30', '30-11=19'] Exploring Operation: 5*19=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 68, 20, 33, 44 ]
53
[ "20*33=660", "660/44=15", "68-15=53" ]
Current State: 53:[68, 20, 33, 44], Operations: [] Exploring Operation: 20*33=660, Resulting Numbers: [68, 44, 660] Generated Node #2: [68, 44, 660] from Operation: 20*33=660 Current State: 53:[68, 44, 660], Operations: ['20*33=660'] Exploring Operation: 660/44=15, Resulting Numbers: [68, 15] Generated Node #3: [68, 15] from Operation: 660/44=15 Current State: 53:[68, 15], Operations: ['20*33=660', '660/44=15'] Exploring Operation: 68-15=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 79, 47, 43, 70 ]
30
[ "47*43=2021", "79+2021=2100", "2100/70=30" ]
Current State: 30:[79, 47, 43, 70], Operations: [] Exploring Operation: 47*43=2021, Resulting Numbers: [79, 70, 2021] Generated Node #2: [79, 70, 2021] from Operation: 47*43=2021 Current State: 30:[79, 70, 2021], Operations: ['47*43=2021'] Exploring Operation: 79+2021=2100, Resulting Numbers: [70, 2100] Generated Node #3: [70, 2100] from Operation: 79+2021=2100 Current State: 30:[70, 2100], Operations: ['47*43=2021', '79+2021=2100'] Exploring Operation: 2100/70=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 58, 1, 2, 77 ]
67
[ "58-1=57", "77+57=134", "134/2=67" ]
Current State: 67:[58, 1, 2, 77], Operations: [] Exploring Operation: 58-1=57, Resulting Numbers: [2, 77, 57] Generated Node #2: [2, 77, 57] from Operation: 58-1=57 Current State: 67:[2, 77, 57], Operations: ['58-1=57'] Exploring Operation: 77+57=134, Resulting Numbers: [2, 134] Generated Node #3: [2, 134] from Operation: 77+57=134 Current State: 67:[2, 134], Operations: ['58-1=57', '77+57=134'] Exploring Operation: 134/2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 83, 8, 78, 95 ]
27
[ "83-78=5", "95/5=19", "8+19=27" ]
Current State: 27:[83, 8, 78, 95], Operations: [] Exploring Operation: 83-78=5, Resulting Numbers: [8, 95, 5] Generated Node #2: [8, 95, 5] from Operation: 83-78=5 Current State: 27:[8, 95, 5], Operations: ['83-78=5'] Exploring Operation: 95/5=19, Resulting Numbers: [8, 19] Generated Node #3: [8, 19] from Operation: 95/5=19 Current State: 27:[8, 19], Operations: ['83-78=5', '95/5=19'] Exploring Operation: 8+19=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 39, 13, 53, 86 ]
11
[ "39/13=3", "86-53=33", "33/3=11" ]
Current State: 11:[39, 13, 53, 86], Operations: [] Exploring Operation: 39/13=3, Resulting Numbers: [53, 86, 3] Generated Node #2: [53, 86, 3] from Operation: 39/13=3 Current State: 11:[53, 86, 3], Operations: ['39/13=3'] Exploring Operation: 86-53=33, Resulting Numbers: [3, 33] Generated Node #3: [3, 33] from Operation: 86-53=33 Current State: 11:[3, 33], Operations: ['39/13=3', '86-53=33'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 60, 25, 4, 28 ]
77
[ "60-25=35", "4*28=112", "112-35=77" ]
Current State: 77:[60, 25, 4, 28], Operations: [] Exploring Operation: 60-25=35, Resulting Numbers: [4, 28, 35] Generated Node #2: [4, 28, 35] from Operation: 60-25=35 Current State: 77:[4, 28, 35], Operations: ['60-25=35'] Exploring Operation: 4*28=112, Resulting Numbers: [35, 112] Generated Node #3: [35, 112] from Operation: 4*28=112 Current State: 77:[35, 112], Operations: ['60-25=35', '4*28=112'] Exploring Operation: 112-35=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 38, 96, 81, 77 ]
83
[ "96-77=19", "38/19=2", "81+2=83" ]
Current State: 83:[38, 96, 81, 77], Operations: [] Exploring Operation: 96-77=19, Resulting Numbers: [38, 81, 19] Generated Node #2: [38, 81, 19] from Operation: 96-77=19 Current State: 83:[38, 81, 19], Operations: ['96-77=19'] Exploring Operation: 38/19=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 38/19=2 Current State: 83:[81, 2], Operations: ['96-77=19', '38/19=2'] Exploring Operation: 81+2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 72, 68, 69, 28 ]
44
[ "72-28=44", "69-68=1", "44*1=44" ]
Current State: 44:[72, 68, 69, 28], Operations: [] Exploring Operation: 72-28=44, Resulting Numbers: [68, 69, 44] Generated Node #2: [68, 69, 44] from Operation: 72-28=44 Current State: 44:[68, 69, 44], Operations: ['72-28=44'] Exploring Operation: 69-68=1, Resulting Numbers: [44, 1] Generated Node #3: [44, 1] from Operation: 69-68=1 Current State: 44:[44, 1], Operations: ['72-28=44', '69-68=1'] Exploring Operation: 44*1=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 54, 36, 34, 51 ]
60
[ "54+36=90", "34*90=3060", "3060/51=60" ]
Current State: 60:[54, 36, 34, 51], Operations: [] Exploring Operation: 54+36=90, Resulting Numbers: [34, 51, 90] Generated Node #2: [34, 51, 90] from Operation: 54+36=90 Current State: 60:[34, 51, 90], Operations: ['54+36=90'] Exploring Operation: 34*90=3060, Resulting Numbers: [51, 3060] Generated Node #3: [51, 3060] from Operation: 34*90=3060 Current State: 60:[51, 3060], Operations: ['54+36=90', '34*90=3060'] Exploring Operation: 3060/51=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 40, 32, 33, 59 ]
100
[ "40-32=8", "33+59=92", "8+92=100" ]
Current State: 100:[40, 32, 33, 59], Operations: [] Exploring Operation: 40-32=8, Resulting Numbers: [33, 59, 8] Generated Node #2: [33, 59, 8] from Operation: 40-32=8 Current State: 100:[33, 59, 8], Operations: ['40-32=8'] Exploring Operation: 33+59=92, Resulting Numbers: [8, 92] Generated Node #3: [8, 92] from Operation: 33+59=92 Current State: 100:[8, 92], Operations: ['40-32=8', '33+59=92'] Exploring Operation: 8+92=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 59, 73, 6, 31 ]
53
[ "59+73=132", "132/6=22", "31+22=53" ]
Current State: 53:[59, 73, 6, 31], Operations: [] Exploring Operation: 59+73=132, Resulting Numbers: [6, 31, 132] Generated Node #2: [6, 31, 132] from Operation: 59+73=132 Current State: 53:[6, 31, 132], Operations: ['59+73=132'] Exploring Operation: 132/6=22, Resulting Numbers: [31, 22] Generated Node #3: [31, 22] from Operation: 132/6=22 Current State: 53:[31, 22], Operations: ['59+73=132', '132/6=22'] Exploring Operation: 31+22=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 79, 18, 3, 18 ]
67
[ "79-18=61", "18/3=6", "61+6=67" ]
Current State: 67:[79, 18, 3, 18], Operations: [] Exploring Operation: 79-18=61, Resulting Numbers: [3, 61] Generated Node #2: [3, 61] from Operation: 79-18=61 Current State: 67:[3, 61], Operations: ['79-18=61'] Exploring Operation: 18/3=6, Resulting Numbers: [61, 6] Generated Node #3: [61, 6] from Operation: 18/3=6 Current State: 67:[61, 6], Operations: ['79-18=61', '18/3=6'] Exploring Operation: 61+6=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 83, 68, 6, 36 ]
27
[ "83-68=15", "6+36=42", "42-15=27" ]
Current State: 27:[83, 68, 6, 36], Operations: [] Exploring Operation: 83-68=15, Resulting Numbers: [6, 36, 15] Generated Node #2: [6, 36, 15] from Operation: 83-68=15 Current State: 27:[6, 36, 15], Operations: ['83-68=15'] Exploring Operation: 6+36=42, Resulting Numbers: [15, 42] Generated Node #3: [15, 42] from Operation: 6+36=42 Current State: 27:[15, 42], Operations: ['83-68=15', '6+36=42'] Exploring Operation: 42-15=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 73, 34, 14, 57 ]
17
[ "73-14=59", "59-57=2", "34/2=17" ]
Current State: 17:[73, 34, 14, 57], Operations: [] Exploring Operation: 73-14=59, Resulting Numbers: [34, 57, 59] Generated Node #2: [34, 57, 59] from Operation: 73-14=59 Current State: 17:[34, 57, 59], Operations: ['73-14=59'] Exploring Operation: 59-57=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 59-57=2 Current State: 17:[34, 2], Operations: ['73-14=59', '59-57=2'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 1, 6, 23, 3 ]
38
[ "6-1=5", "3*5=15", "23+15=38" ]
Current State: 38:[1, 6, 23, 3], Operations: [] Exploring Operation: 6-1=5, Resulting Numbers: [23, 3, 5] Generated Node #2: [23, 3, 5] from Operation: 6-1=5 Current State: 38:[23, 3, 5], Operations: ['6-1=5'] Exploring Operation: 3*5=15, Resulting Numbers: [23, 15] Generated Node #3: [23, 15] from Operation: 3*5=15 Current State: 38:[23, 15], Operations: ['6-1=5', '3*5=15'] Exploring Operation: 23+15=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 68, 14, 14, 60 ]
68
[ "68+60=128", "14*14=196", "196-128=68" ]
Current State: 68:[68, 14, 14, 60], Operations: [] Exploring Operation: 68+60=128, Resulting Numbers: [14, 14, 128] Generated Node #2: [14, 14, 128] from Operation: 68+60=128 Current State: 68:[14, 14, 128], Operations: ['68+60=128'] Exploring Operation: 14*14=196, Resulting Numbers: [128, 196] Generated Node #3: [128, 196] from Operation: 14*14=196 Current State: 68:[128, 196], Operations: ['68+60=128', '14*14=196'] Exploring Operation: 196-128=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 6, 66, 38, 33 ]
70
[ "66*38=2508", "2508/33=76", "76-6=70" ]
Current State: 70:[6, 66, 38, 33], Operations: [] Exploring Operation: 66*38=2508, Resulting Numbers: [6, 33, 2508] Generated Node #2: [6, 33, 2508] from Operation: 66*38=2508 Current State: 70:[6, 33, 2508], Operations: ['66*38=2508'] Exploring Operation: 2508/33=76, Resulting Numbers: [6, 76] Generated Node #3: [6, 76] from Operation: 2508/33=76 Current State: 70:[6, 76], Operations: ['66*38=2508', '2508/33=76'] Exploring Operation: 76-6=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 57, 22, 69, 68 ]
36
[ "57-22=35", "69-68=1", "35+1=36" ]
Current State: 36:[57, 22, 69, 68], Operations: [] Exploring Operation: 57-22=35, Resulting Numbers: [69, 68, 35] Generated Node #2: [69, 68, 35] from Operation: 57-22=35 Current State: 36:[69, 68, 35], Operations: ['57-22=35'] Exploring Operation: 69-68=1, Resulting Numbers: [35, 1] Generated Node #3: [35, 1] from Operation: 69-68=1 Current State: 36:[35, 1], Operations: ['57-22=35', '69-68=1'] Exploring Operation: 35+1=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 23, 5, 49, 56 ]
87
[ "23-5=18", "49+56=105", "105-18=87" ]
Current State: 87:[23, 5, 49, 56], Operations: [] Exploring Operation: 23-5=18, Resulting Numbers: [49, 56, 18] Generated Node #2: [49, 56, 18] from Operation: 23-5=18 Current State: 87:[49, 56, 18], Operations: ['23-5=18'] Exploring Operation: 49+56=105, Resulting Numbers: [18, 105] Generated Node #3: [18, 105] from Operation: 49+56=105 Current State: 87:[18, 105], Operations: ['23-5=18', '49+56=105'] Exploring Operation: 105-18=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 53, 92, 10, 34 ]
56
[ "92+10=102", "102/34=3", "53+3=56" ]
Current State: 56:[53, 92, 10, 34], Operations: [] Exploring Operation: 92+10=102, Resulting Numbers: [53, 34, 102] Generated Node #2: [53, 34, 102] from Operation: 92+10=102 Current State: 56:[53, 34, 102], Operations: ['92+10=102'] Exploring Operation: 102/34=3, Resulting Numbers: [53, 3] Generated Node #3: [53, 3] from Operation: 102/34=3 Current State: 56:[53, 3], Operations: ['92+10=102', '102/34=3'] Exploring Operation: 53+3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 25, 93, 93, 79 ]
82
[ "93-25=68", "93-79=14", "68+14=82" ]
Current State: 82:[25, 93, 93, 79], Operations: [] Exploring Operation: 93-25=68, Resulting Numbers: [79, 68] Generated Node #2: [79, 68] from Operation: 93-25=68 Current State: 82:[79, 68], Operations: ['93-25=68'] Exploring Operation: 93-79=14, Resulting Numbers: [68, 14] Generated Node #3: [68, 14] from Operation: 93-79=14 Current State: 82:[68, 14], Operations: ['93-25=68', '93-79=14'] Exploring Operation: 68+14=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 39, 7, 7, 10 ]
100
[ "7*7=49", "49-39=10", "10*10=100" ]
Current State: 100:[39, 7, 7, 10], Operations: [] Exploring Operation: 7*7=49, Resulting Numbers: [39, 10, 49] Generated Node #2: [39, 10, 49] from Operation: 7*7=49 Current State: 100:[39, 10, 49], Operations: ['7*7=49'] Exploring Operation: 49-39=10, Resulting Numbers: [10, 10] Generated Node #3: [10, 10] from Operation: 49-39=10 Current State: 100:[10, 10], Operations: ['7*7=49', '49-39=10'] Exploring Operation: 10*10=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 30, 34, 21, 8 ]
23
[ "34-30=4", "8/4=2", "21+2=23" ]
Current State: 23:[30, 34, 21, 8], Operations: [] Exploring Operation: 34-30=4, Resulting Numbers: [21, 8, 4] Generated Node #2: [21, 8, 4] from Operation: 34-30=4 Current State: 23:[21, 8, 4], Operations: ['34-30=4'] Exploring Operation: 8/4=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 8/4=2 Current State: 23:[21, 2], Operations: ['34-30=4', '8/4=2'] Exploring Operation: 21+2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 13, 19, 3, 75 ]
73
[ "19-13=6", "6/3=2", "75-2=73" ]
Current State: 73:[13, 19, 3, 75], Operations: [] Exploring Operation: 19-13=6, Resulting Numbers: [3, 75, 6] Generated Node #2: [3, 75, 6] from Operation: 19-13=6 Current State: 73:[3, 75, 6], Operations: ['19-13=6'] Exploring Operation: 6/3=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 6/3=2 Current State: 73:[75, 2], Operations: ['19-13=6', '6/3=2'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 17, 34, 55, 78 ]
21
[ "34/17=2", "78-55=23", "23-2=21" ]
Current State: 21:[17, 34, 55, 78], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [55, 78, 2] Generated Node #2: [55, 78, 2] from Operation: 34/17=2 Current State: 21:[55, 78, 2], Operations: ['34/17=2'] Exploring Operation: 78-55=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 78-55=23 Current State: 21:[2, 23], Operations: ['34/17=2', '78-55=23'] Exploring Operation: 23-2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 22, 44, 8, 34 ]
30
[ "44/22=2", "8/2=4", "34-4=30" ]
Current State: 30:[22, 44, 8, 34], Operations: [] Exploring Operation: 44/22=2, Resulting Numbers: [8, 34, 2] Generated Node #2: [8, 34, 2] from Operation: 44/22=2 Current State: 30:[8, 34, 2], Operations: ['44/22=2'] Exploring Operation: 8/2=4, Resulting Numbers: [34, 4] Generated Node #3: [34, 4] from Operation: 8/2=4 Current State: 30:[34, 4], Operations: ['44/22=2', '8/2=4'] Exploring Operation: 34-4=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 33, 80, 77, 73 ]
52
[ "77-73=4", "33*4=132", "132-80=52" ]
Current State: 52:[33, 80, 77, 73], Operations: [] Exploring Operation: 77-73=4, Resulting Numbers: [33, 80, 4] Generated Node #2: [33, 80, 4] from Operation: 77-73=4 Current State: 52:[33, 80, 4], Operations: ['77-73=4'] Exploring Operation: 33*4=132, Resulting Numbers: [80, 132] Generated Node #3: [80, 132] from Operation: 33*4=132 Current State: 52:[80, 132], Operations: ['77-73=4', '33*4=132'] Exploring Operation: 132-80=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 92, 43, 12, 35 ]
72
[ "92-43=49", "35-12=23", "49+23=72" ]
Current State: 72:[92, 43, 12, 35], Operations: [] Exploring Operation: 92-43=49, Resulting Numbers: [12, 35, 49] Generated Node #2: [12, 35, 49] from Operation: 92-43=49 Current State: 72:[12, 35, 49], Operations: ['92-43=49'] Exploring Operation: 35-12=23, Resulting Numbers: [49, 23] Generated Node #3: [49, 23] from Operation: 35-12=23 Current State: 72:[49, 23], Operations: ['92-43=49', '35-12=23'] Exploring Operation: 49+23=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 9, 52, 31, 11 ]
16
[ "9*11=99", "52+31=83", "99-83=16" ]
Current State: 16:[9, 52, 31, 11], Operations: [] Exploring Operation: 9*11=99, Resulting Numbers: [52, 31, 99] Generated Node #2: [52, 31, 99] from Operation: 9*11=99 Current State: 16:[52, 31, 99], Operations: ['9*11=99'] Exploring Operation: 52+31=83, Resulting Numbers: [99, 83] Generated Node #3: [99, 83] from Operation: 52+31=83 Current State: 16:[99, 83], Operations: ['9*11=99', '52+31=83'] Exploring Operation: 99-83=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 3, 62, 50, 47 ]
32
[ "3+62=65", "50+47=97", "97-65=32" ]
Current State: 32:[3, 62, 50, 47], Operations: [] Exploring Operation: 3+62=65, Resulting Numbers: [50, 47, 65] Generated Node #2: [50, 47, 65] from Operation: 3+62=65 Current State: 32:[50, 47, 65], Operations: ['3+62=65'] Exploring Operation: 50+47=97, Resulting Numbers: [65, 97] Generated Node #3: [65, 97] from Operation: 50+47=97 Current State: 32:[65, 97], Operations: ['3+62=65', '50+47=97'] Exploring Operation: 97-65=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 95, 82, 4, 81 ]
26
[ "95-81=14", "4*14=56", "82-56=26" ]
Current State: 26:[95, 82, 4, 81], Operations: [] Exploring Operation: 95-81=14, Resulting Numbers: [82, 4, 14] Generated Node #2: [82, 4, 14] from Operation: 95-81=14 Current State: 26:[82, 4, 14], Operations: ['95-81=14'] Exploring Operation: 4*14=56, Resulting Numbers: [82, 56] Generated Node #3: [82, 56] from Operation: 4*14=56 Current State: 26:[82, 56], Operations: ['95-81=14', '4*14=56'] Exploring Operation: 82-56=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 63, 44, 89, 2 ]
81
[ "63*2=126", "89-44=45", "126-45=81" ]
Current State: 81:[63, 44, 89, 2], Operations: [] Exploring Operation: 63*2=126, Resulting Numbers: [44, 89, 126] Generated Node #2: [44, 89, 126] from Operation: 63*2=126 Current State: 81:[44, 89, 126], Operations: ['63*2=126'] Exploring Operation: 89-44=45, Resulting Numbers: [126, 45] Generated Node #3: [126, 45] from Operation: 89-44=45 Current State: 81:[126, 45], Operations: ['63*2=126', '89-44=45'] Exploring Operation: 126-45=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 95, 25, 92, 71 ]
91
[ "95-25=70", "92-71=21", "70+21=91" ]
Current State: 91:[95, 25, 92, 71], Operations: [] Exploring Operation: 95-25=70, Resulting Numbers: [92, 71, 70] Generated Node #2: [92, 71, 70] from Operation: 95-25=70 Current State: 91:[92, 71, 70], Operations: ['95-25=70'] Exploring Operation: 92-71=21, Resulting Numbers: [70, 21] Generated Node #3: [70, 21] from Operation: 92-71=21 Current State: 91:[70, 21], Operations: ['95-25=70', '92-71=21'] Exploring Operation: 70+21=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 99, 43, 52, 10 ]
49
[ "43-10=33", "99/33=3", "52-3=49" ]
Current State: 49:[99, 43, 52, 10], Operations: [] Exploring Operation: 43-10=33, Resulting Numbers: [99, 52, 33] Generated Node #2: [99, 52, 33] from Operation: 43-10=33 Current State: 49:[99, 52, 33], Operations: ['43-10=33'] Exploring Operation: 99/33=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 99/33=3 Current State: 49:[52, 3], Operations: ['43-10=33', '99/33=3'] Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 72, 65, 45, 2 ]
90
[ "72+65=137", "45+2=47", "137-47=90" ]
Current State: 90:[72, 65, 45, 2], Operations: [] Exploring Operation: 72+65=137, Resulting Numbers: [45, 2, 137] Generated Node #2: [45, 2, 137] from Operation: 72+65=137 Current State: 90:[45, 2, 137], Operations: ['72+65=137'] Exploring Operation: 45+2=47, Resulting Numbers: [137, 47] Generated Node #3: [137, 47] from Operation: 45+2=47 Current State: 90:[137, 47], Operations: ['72+65=137', '45+2=47'] Exploring Operation: 137-47=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 38, 82, 68, 35 ]
95
[ "38*35=1330", "82-68=14", "1330/14=95" ]
Current State: 95:[38, 82, 68, 35], Operations: [] Exploring Operation: 38*35=1330, Resulting Numbers: [82, 68, 1330] Generated Node #2: [82, 68, 1330] from Operation: 38*35=1330 Current State: 95:[82, 68, 1330], Operations: ['38*35=1330'] Exploring Operation: 82-68=14, Resulting Numbers: [1330, 14] Generated Node #3: [1330, 14] from Operation: 82-68=14 Current State: 95:[1330, 14], Operations: ['38*35=1330', '82-68=14'] Exploring Operation: 1330/14=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 85, 15, 9, 21 ]
87
[ "9+21=30", "30/15=2", "85+2=87" ]
Current State: 87:[85, 15, 9, 21], Operations: [] Exploring Operation: 9+21=30, Resulting Numbers: [85, 15, 30] Generated Node #2: [85, 15, 30] from Operation: 9+21=30 Current State: 87:[85, 15, 30], Operations: ['9+21=30'] Exploring Operation: 30/15=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 30/15=2 Current State: 87:[85, 2], Operations: ['9+21=30', '30/15=2'] Exploring Operation: 85+2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 49, 98, 47, 65 ]
31
[ "98-49=49", "65-47=18", "49-18=31" ]
Current State: 31:[49, 98, 47, 65], Operations: [] Exploring Operation: 98-49=49, Resulting Numbers: [47, 65, 49] Generated Node #2: [47, 65, 49] from Operation: 98-49=49 Current State: 31:[47, 65, 49], Operations: ['98-49=49'] Exploring Operation: 65-47=18, Resulting Numbers: [49, 18] Generated Node #3: [49, 18] from Operation: 65-47=18 Current State: 31:[49, 18], Operations: ['98-49=49', '65-47=18'] Exploring Operation: 49-18=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 5, 50, 11, 25 ]
91
[ "5+50=55", "11+25=36", "55+36=91" ]
Current State: 91:[5, 50, 11, 25], Operations: [] Exploring Operation: 5+50=55, Resulting Numbers: [11, 25, 55] Generated Node #2: [11, 25, 55] from Operation: 5+50=55 Current State: 91:[11, 25, 55], Operations: ['5+50=55'] Exploring Operation: 11+25=36, Resulting Numbers: [55, 36] Generated Node #3: [55, 36] from Operation: 11+25=36 Current State: 91:[55, 36], Operations: ['5+50=55', '11+25=36'] Exploring Operation: 55+36=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 12, 17, 65, 86 ]
53
[ "12*17=204", "65+86=151", "204-151=53" ]
Current State: 53:[12, 17, 65, 86], Operations: [] Exploring Operation: 12*17=204, Resulting Numbers: [65, 86, 204] Generated Node #2: [65, 86, 204] from Operation: 12*17=204 Current State: 53:[65, 86, 204], Operations: ['12*17=204'] Exploring Operation: 65+86=151, Resulting Numbers: [204, 151] Generated Node #3: [204, 151] from Operation: 65+86=151 Current State: 53:[204, 151], Operations: ['12*17=204', '65+86=151'] Exploring Operation: 204-151=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 3, 30, 77, 79 ]
54
[ "30-3=27", "79-77=2", "27*2=54" ]
Current State: 54:[3, 30, 77, 79], Operations: [] Exploring Operation: 30-3=27, Resulting Numbers: [77, 79, 27] Generated Node #2: [77, 79, 27] from Operation: 30-3=27 Current State: 54:[77, 79, 27], Operations: ['30-3=27'] Exploring Operation: 79-77=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 79-77=2 Current State: 54:[27, 2], Operations: ['30-3=27', '79-77=2'] Exploring Operation: 27*2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 10, 61, 40, 69 ]
100
[ "10+61=71", "69-40=29", "71+29=100" ]
Current State: 100:[10, 61, 40, 69], Operations: [] Exploring Operation: 10+61=71, Resulting Numbers: [40, 69, 71] Generated Node #2: [40, 69, 71] from Operation: 10+61=71 Current State: 100:[40, 69, 71], Operations: ['10+61=71'] Exploring Operation: 69-40=29, Resulting Numbers: [71, 29] Generated Node #3: [71, 29] from Operation: 69-40=29 Current State: 100:[71, 29], Operations: ['10+61=71', '69-40=29'] Exploring Operation: 71+29=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 94, 43, 53, 3 ]
36
[ "94-43=51", "51/3=17", "53-17=36" ]
Current State: 36:[94, 43, 53, 3], Operations: [] Exploring Operation: 94-43=51, Resulting Numbers: [53, 3, 51] Generated Node #2: [53, 3, 51] from Operation: 94-43=51 Current State: 36:[53, 3, 51], Operations: ['94-43=51'] Exploring Operation: 51/3=17, Resulting Numbers: [53, 17] Generated Node #3: [53, 17] from Operation: 51/3=17 Current State: 36:[53, 17], Operations: ['94-43=51', '51/3=17'] Exploring Operation: 53-17=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 51, 63, 28, 46 ]
86
[ "63-51=12", "28+46=74", "12+74=86" ]
Current State: 86:[51, 63, 28, 46], Operations: [] Exploring Operation: 63-51=12, Resulting Numbers: [28, 46, 12] Generated Node #2: [28, 46, 12] from Operation: 63-51=12 Current State: 86:[28, 46, 12], Operations: ['63-51=12'] Exploring Operation: 28+46=74, Resulting Numbers: [12, 74] Generated Node #3: [12, 74] from Operation: 28+46=74 Current State: 86:[12, 74], Operations: ['63-51=12', '28+46=74'] Exploring Operation: 12+74=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 28, 10, 64, 67 ]
58
[ "67-64=3", "10*3=30", "28+30=58" ]
Current State: 58:[28, 10, 64, 67], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [28, 10, 3] Generated Node #2: [28, 10, 3] from Operation: 67-64=3 Current State: 58:[28, 10, 3], Operations: ['67-64=3'] Exploring Operation: 10*3=30, Resulting Numbers: [28, 30] Generated Node #3: [28, 30] from Operation: 10*3=30 Current State: 58:[28, 30], Operations: ['67-64=3', '10*3=30'] Exploring Operation: 28+30=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 10, 24, 75, 62 ]
72
[ "75-10=65", "65-62=3", "24*3=72" ]
Current State: 72:[10, 24, 75, 62], Operations: [] Exploring Operation: 75-10=65, Resulting Numbers: [24, 62, 65] Generated Node #2: [24, 62, 65] from Operation: 75-10=65 Current State: 72:[24, 62, 65], Operations: ['75-10=65'] Exploring Operation: 65-62=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 65-62=3 Current State: 72:[24, 3], Operations: ['75-10=65', '65-62=3'] Exploring Operation: 24*3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 63, 14, 97, 2 ]
82
[ "97-63=34", "2*34=68", "14+68=82" ]
Current State: 82:[63, 14, 97, 2], Operations: [] Exploring Operation: 97-63=34, Resulting Numbers: [14, 2, 34] Generated Node #2: [14, 2, 34] from Operation: 97-63=34 Current State: 82:[14, 2, 34], Operations: ['97-63=34'] Exploring Operation: 2*34=68, Resulting Numbers: [14, 68] Generated Node #3: [14, 68] from Operation: 2*34=68 Current State: 82:[14, 68], Operations: ['97-63=34', '2*34=68'] Exploring Operation: 14+68=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 45, 55, 3, 19 ]
89
[ "45/3=15", "55+19=74", "15+74=89" ]
Current State: 89:[45, 55, 3, 19], Operations: [] Exploring Operation: 45/3=15, Resulting Numbers: [55, 19, 15] Generated Node #2: [55, 19, 15] from Operation: 45/3=15 Current State: 89:[55, 19, 15], Operations: ['45/3=15'] Exploring Operation: 55+19=74, Resulting Numbers: [15, 74] Generated Node #3: [15, 74] from Operation: 55+19=74 Current State: 89:[15, 74], Operations: ['45/3=15', '55+19=74'] Exploring Operation: 15+74=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 63, 21, 19, 45 ]
68
[ "63-21=42", "45-19=26", "42+26=68" ]
Current State: 68:[63, 21, 19, 45], Operations: [] Exploring Operation: 63-21=42, Resulting Numbers: [19, 45, 42] Generated Node #2: [19, 45, 42] from Operation: 63-21=42 Current State: 68:[19, 45, 42], Operations: ['63-21=42'] Exploring Operation: 45-19=26, Resulting Numbers: [42, 26] Generated Node #3: [42, 26] from Operation: 45-19=26 Current State: 68:[42, 26], Operations: ['63-21=42', '45-19=26'] Exploring Operation: 42+26=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 43, 67, 22, 44 ]
19
[ "43*44=1892", "1892/22=86", "86-67=19" ]
Current State: 19:[43, 67, 22, 44], Operations: [] Exploring Operation: 43*44=1892, Resulting Numbers: [67, 22, 1892] Generated Node #2: [67, 22, 1892] from Operation: 43*44=1892 Current State: 19:[67, 22, 1892], Operations: ['43*44=1892'] Exploring Operation: 1892/22=86, Resulting Numbers: [67, 86] Generated Node #3: [67, 86] from Operation: 1892/22=86 Current State: 19:[67, 86], Operations: ['43*44=1892', '1892/22=86'] Exploring Operation: 86-67=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 6, 96, 4, 63 ]
67
[ "96/6=16", "16/4=4", "63+4=67" ]
Current State: 67:[6, 96, 4, 63], Operations: [] Exploring Operation: 96/6=16, Resulting Numbers: [4, 63, 16] Generated Node #2: [4, 63, 16] from Operation: 96/6=16 Current State: 67:[4, 63, 16], Operations: ['96/6=16'] Exploring Operation: 16/4=4, Resulting Numbers: [63, 4] Generated Node #3: [63, 4] from Operation: 16/4=4 Current State: 67:[63, 4], Operations: ['96/6=16', '16/4=4'] Exploring Operation: 63+4=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 81, 49, 4, 87 ]
73
[ "87-81=6", "4*6=24", "49+24=73" ]
Current State: 73:[81, 49, 4, 87], Operations: [] Exploring Operation: 87-81=6, Resulting Numbers: [49, 4, 6] Generated Node #2: [49, 4, 6] from Operation: 87-81=6 Current State: 73:[49, 4, 6], Operations: ['87-81=6'] Exploring Operation: 4*6=24, Resulting Numbers: [49, 24] Generated Node #3: [49, 24] from Operation: 4*6=24 Current State: 73:[49, 24], Operations: ['87-81=6', '4*6=24'] Exploring Operation: 49+24=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 77, 15, 21, 43 ]
11
[ "15+21=36", "43-36=7", "77/7=11" ]
Current State: 11:[77, 15, 21, 43], Operations: [] Exploring Operation: 15+21=36, Resulting Numbers: [77, 43, 36] Generated Node #2: [77, 43, 36] from Operation: 15+21=36 Current State: 11:[77, 43, 36], Operations: ['15+21=36'] Exploring Operation: 43-36=7, Resulting Numbers: [77, 7] Generated Node #3: [77, 7] from Operation: 43-36=7 Current State: 11:[77, 7], Operations: ['15+21=36', '43-36=7'] Exploring Operation: 77/7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 14, 68, 72, 86 ]
25
[ "14+86=100", "72-68=4", "100/4=25" ]
Current State: 25:[14, 68, 72, 86], Operations: [] Exploring Operation: 14+86=100, Resulting Numbers: [68, 72, 100] Generated Node #2: [68, 72, 100] from Operation: 14+86=100 Current State: 25:[68, 72, 100], Operations: ['14+86=100'] Exploring Operation: 72-68=4, Resulting Numbers: [100, 4] Generated Node #3: [100, 4] from Operation: 72-68=4 Current State: 25:[100, 4], Operations: ['14+86=100', '72-68=4'] Exploring Operation: 100/4=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 41, 21, 4, 1 ]
84
[ "41-21=20", "1+20=21", "4*21=84" ]
Current State: 84:[41, 21, 4, 1], Operations: [] Exploring Operation: 41-21=20, Resulting Numbers: [4, 1, 20] Generated Node #2: [4, 1, 20] from Operation: 41-21=20 Current State: 84:[4, 1, 20], Operations: ['41-21=20'] Exploring Operation: 1+20=21, Resulting Numbers: [4, 21] Generated Node #3: [4, 21] from Operation: 1+20=21 Current State: 84:[4, 21], Operations: ['41-21=20', '1+20=21'] Exploring Operation: 4*21=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 36, 95, 59, 78 ]
41
[ "78-59=19", "95/19=5", "36+5=41" ]
Current State: 41:[36, 95, 59, 78], Operations: [] Exploring Operation: 78-59=19, Resulting Numbers: [36, 95, 19] Generated Node #2: [36, 95, 19] from Operation: 78-59=19 Current State: 41:[36, 95, 19], Operations: ['78-59=19'] Exploring Operation: 95/19=5, Resulting Numbers: [36, 5] Generated Node #3: [36, 5] from Operation: 95/19=5 Current State: 41:[36, 5], Operations: ['78-59=19', '95/19=5'] Exploring Operation: 36+5=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 25, 46, 34, 46 ]
34
[ "46-46=0", "25*0=0", "34+0=34" ]
Current State: 34:[25, 46, 34, 46], Operations: [] Exploring Operation: 46-46=0, Resulting Numbers: [25, 34, 0] Generated Node #2: [25, 34, 0] from Operation: 46-46=0 Current State: 34:[25, 34, 0], Operations: ['46-46=0'] Exploring Operation: 25*0=0, Resulting Numbers: [34, 0] Generated Node #3: [34, 0] from Operation: 25*0=0 Current State: 34:[34, 0], Operations: ['46-46=0', '25*0=0'] Exploring Operation: 34+0=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 17, 51, 93, 10 ]
15
[ "17+51=68", "93-10=83", "83-68=15" ]
Current State: 15:[17, 51, 93, 10], Operations: [] Exploring Operation: 17+51=68, Resulting Numbers: [93, 10, 68] Generated Node #2: [93, 10, 68] from Operation: 17+51=68 Current State: 15:[93, 10, 68], Operations: ['17+51=68'] Exploring Operation: 93-10=83, Resulting Numbers: [68, 83] Generated Node #3: [68, 83] from Operation: 93-10=83 Current State: 15:[68, 83], Operations: ['17+51=68', '93-10=83'] Exploring Operation: 83-68=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 57, 94, 84, 57 ]
94
[ "57-57=0", "84*0=0", "94+0=94" ]
Current State: 94:[57, 94, 84, 57], Operations: [] Exploring Operation: 57-57=0, Resulting Numbers: [94, 84, 0] Generated Node #2: [94, 84, 0] from Operation: 57-57=0 Current State: 94:[94, 84, 0], Operations: ['57-57=0'] Exploring Operation: 84*0=0, Resulting Numbers: [94, 0] Generated Node #3: [94, 0] from Operation: 84*0=0 Current State: 94:[94, 0], Operations: ['57-57=0', '84*0=0'] Exploring Operation: 94+0=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 7, 53, 9, 27 ]
79
[ "9-7=2", "53*2=106", "106-27=79" ]
Current State: 79:[7, 53, 9, 27], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [53, 27, 2] Generated Node #2: [53, 27, 2] from Operation: 9-7=2 Current State: 79:[53, 27, 2], Operations: ['9-7=2'] Exploring Operation: 53*2=106, Resulting Numbers: [27, 106] Generated Node #3: [27, 106] from Operation: 53*2=106 Current State: 79:[27, 106], Operations: ['9-7=2', '53*2=106'] Exploring Operation: 106-27=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 38, 59, 36, 6 ]
27
[ "59-38=21", "36/6=6", "21+6=27" ]
Current State: 27:[38, 59, 36, 6], Operations: [] Exploring Operation: 59-38=21, Resulting Numbers: [36, 6, 21] Generated Node #2: [36, 6, 21] from Operation: 59-38=21 Current State: 27:[36, 6, 21], Operations: ['59-38=21'] Exploring Operation: 36/6=6, Resulting Numbers: [21, 6] Generated Node #3: [21, 6] from Operation: 36/6=6 Current State: 27:[21, 6], Operations: ['59-38=21', '36/6=6'] Exploring Operation: 21+6=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 62, 75, 63, 93 ]
33
[ "62*63=3906", "3906/93=42", "75-42=33" ]
Current State: 33:[62, 75, 63, 93], Operations: [] Exploring Operation: 62*63=3906, Resulting Numbers: [75, 93, 3906] Generated Node #2: [75, 93, 3906] from Operation: 62*63=3906 Current State: 33:[75, 93, 3906], Operations: ['62*63=3906'] Exploring Operation: 3906/93=42, Resulting Numbers: [75, 42] Generated Node #3: [75, 42] from Operation: 3906/93=42 Current State: 33:[75, 42], Operations: ['62*63=3906', '3906/93=42'] Exploring Operation: 75-42=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 17, 21, 5, 70 ]
52
[ "17+21=38", "70/5=14", "38+14=52" ]
Current State: 52:[17, 21, 5, 70], Operations: [] Exploring Operation: 17+21=38, Resulting Numbers: [5, 70, 38] Generated Node #2: [5, 70, 38] from Operation: 17+21=38 Current State: 52:[5, 70, 38], Operations: ['17+21=38'] Exploring Operation: 70/5=14, Resulting Numbers: [38, 14] Generated Node #3: [38, 14] from Operation: 70/5=14 Current State: 52:[38, 14], Operations: ['17+21=38', '70/5=14'] Exploring Operation: 38+14=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 51, 4, 48, 11 ]
36
[ "51+48=99", "4*99=396", "396/11=36" ]
Current State: 36:[51, 4, 48, 11], Operations: [] Exploring Operation: 51+48=99, Resulting Numbers: [4, 11, 99] Generated Node #2: [4, 11, 99] from Operation: 51+48=99 Current State: 36:[4, 11, 99], Operations: ['51+48=99'] Exploring Operation: 4*99=396, Resulting Numbers: [11, 396] Generated Node #3: [11, 396] from Operation: 4*99=396 Current State: 36:[11, 396], Operations: ['51+48=99', '4*99=396'] Exploring Operation: 396/11=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 90, 48, 36, 26 ]
48
[ "90*26=2340", "2340-36=2304", "2304/48=48" ]
Current State: 48:[90, 48, 36, 26], Operations: [] Exploring Operation: 90*26=2340, Resulting Numbers: [48, 36, 2340] Generated Node #2: [48, 36, 2340] from Operation: 90*26=2340 Current State: 48:[48, 36, 2340], Operations: ['90*26=2340'] Exploring Operation: 2340-36=2304, Resulting Numbers: [48, 2304] Generated Node #3: [48, 2304] from Operation: 2340-36=2304 Current State: 48:[48, 2304], Operations: ['90*26=2340', '2340-36=2304'] Exploring Operation: 2304/48=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 89, 78, 19, 91 ]
60
[ "89-19=70", "78*70=5460", "5460/91=60" ]
Current State: 60:[89, 78, 19, 91], Operations: [] Exploring Operation: 89-19=70, Resulting Numbers: [78, 91, 70] Generated Node #2: [78, 91, 70] from Operation: 89-19=70 Current State: 60:[78, 91, 70], Operations: ['89-19=70'] Exploring Operation: 78*70=5460, Resulting Numbers: [91, 5460] Generated Node #3: [91, 5460] from Operation: 78*70=5460 Current State: 60:[91, 5460], Operations: ['89-19=70', '78*70=5460'] Exploring Operation: 5460/91=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 73, 66, 94, 38 ]
63
[ "73-66=7", "94-38=56", "7+56=63" ]
Current State: 63:[73, 66, 94, 38], Operations: [] Exploring Operation: 73-66=7, Resulting Numbers: [94, 38, 7] Generated Node #2: [94, 38, 7] from Operation: 73-66=7 Current State: 63:[94, 38, 7], Operations: ['73-66=7'] Exploring Operation: 94-38=56, Resulting Numbers: [7, 56] Generated Node #3: [7, 56] from Operation: 94-38=56 Current State: 63:[7, 56], Operations: ['73-66=7', '94-38=56'] Exploring Operation: 7+56=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4