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
[ 22, 54, 8, 23 ]
52
[ "22*54=1188", "8+1188=1196", "1196/23=52" ]
Current State: 52:[22, 54, 8, 23], Operations: [] Exploring Operation: 22*54=1188, Resulting Numbers: [8, 23, 1188] Generated Node #2: [8, 23, 1188] from Operation: 22*54=1188 Current State: 52:[8, 23, 1188], Operations: ['22*54=1188'] Exploring Operation: 8+1188=1196, Resulting Numbers: [23, 1196] Generated Node #3: [23, 1196] from Operation: 8+1188=1196 Current State: 52:[23, 1196], Operations: ['22*54=1188', '8+1188=1196'] Exploring Operation: 1196/23=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 22, 28, 32, 18 ]
15
[ "22-18=4", "28+32=60", "60/4=15" ]
Current State: 15:[22, 28, 32, 18], Operations: [] Exploring Operation: 22-18=4, Resulting Numbers: [28, 32, 4] Generated Node #2: [28, 32, 4] from Operation: 22-18=4 Current State: 15:[28, 32, 4], Operations: ['22-18=4'] Exploring Operation: 28+32=60, Resulting Numbers: [4, 60] Generated Node #3: [4, 60] from Operation: 28+32=60 Current State: 15:[4, 60], Operations: ['22-18=4', '28+32=60'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 94, 30, 92, 3 ]
32
[ "94+92=186", "186/3=62", "62-30=32" ]
Current State: 32:[94, 30, 92, 3], Operations: [] Exploring Operation: 94+92=186, Resulting Numbers: [30, 3, 186] Generated Node #2: [30, 3, 186] from Operation: 94+92=186 Current State: 32:[30, 3, 186], Operations: ['94+92=186'] Exploring Operation: 186/3=62, Resulting Numbers: [30, 62] Generated Node #3: [30, 62] from Operation: 186/3=62 Current State: 32:[30, 62], Operations: ['94+92=186', '186/3=62'] Exploring Operation: 62-30=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 3, 17, 76, 87 ]
50
[ "87-76=11", "3*11=33", "17+33=50" ]
Current State: 50:[3, 17, 76, 87], Operations: [] Exploring Operation: 87-76=11, Resulting Numbers: [3, 17, 11] Generated Node #2: [3, 17, 11] from Operation: 87-76=11 Current State: 50:[3, 17, 11], Operations: ['87-76=11'] Exploring Operation: 3*11=33, Resulting Numbers: [17, 33] Generated Node #3: [17, 33] from Operation: 3*11=33 Current State: 50:[17, 33], Operations: ['87-76=11', '3*11=33'] Exploring Operation: 17+33=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 87, 66, 60, 21 ]
39
[ "66-60=6", "21*6=126", "126-87=39" ]
Current State: 39:[87, 66, 60, 21], Operations: [] Exploring Operation: 66-60=6, Resulting Numbers: [87, 21, 6] Generated Node #2: [87, 21, 6] from Operation: 66-60=6 Current State: 39:[87, 21, 6], Operations: ['66-60=6'] Exploring Operation: 21*6=126, Resulting Numbers: [87, 126] Generated Node #3: [87, 126] from Operation: 21*6=126 Current State: 39:[87, 126], Operations: ['66-60=6', '21*6=126'] Exploring Operation: 126-87=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 36, 20, 39, 11 ]
34
[ "36-20=16", "39+11=50", "50-16=34" ]
Current State: 34:[36, 20, 39, 11], Operations: [] Exploring Operation: 36-20=16, Resulting Numbers: [39, 11, 16] Generated Node #2: [39, 11, 16] from Operation: 36-20=16 Current State: 34:[39, 11, 16], Operations: ['36-20=16'] Exploring Operation: 39+11=50, Resulting Numbers: [16, 50] Generated Node #3: [16, 50] from Operation: 39+11=50 Current State: 34:[16, 50], Operations: ['36-20=16', '39+11=50'] Exploring Operation: 50-16=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 62, 93, 64, 1 ]
94
[ "93-62=31", "64-1=63", "31+63=94" ]
Current State: 94:[62, 93, 64, 1], Operations: [] Exploring Operation: 93-62=31, Resulting Numbers: [64, 1, 31] Generated Node #2: [64, 1, 31] from Operation: 93-62=31 Current State: 94:[64, 1, 31], Operations: ['93-62=31'] Exploring Operation: 64-1=63, Resulting Numbers: [31, 63] Generated Node #3: [31, 63] from Operation: 64-1=63 Current State: 94:[31, 63], Operations: ['93-62=31', '64-1=63'] Exploring Operation: 31+63=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 36, 34, 96, 98 ]
19
[ "98-96=2", "34/2=17", "36-17=19" ]
Current State: 19:[36, 34, 96, 98], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [36, 34, 2] Generated Node #2: [36, 34, 2] from Operation: 98-96=2 Current State: 19:[36, 34, 2], Operations: ['98-96=2'] Exploring Operation: 34/2=17, Resulting Numbers: [36, 17] Generated Node #3: [36, 17] from Operation: 34/2=17 Current State: 19:[36, 17], Operations: ['98-96=2', '34/2=17'] Exploring Operation: 36-17=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 87, 37, 63, 31 ]
92
[ "87+37=124", "63-31=32", "124-32=92" ]
Current State: 92:[87, 37, 63, 31], Operations: [] Exploring Operation: 87+37=124, Resulting Numbers: [63, 31, 124] Generated Node #2: [63, 31, 124] from Operation: 87+37=124 Current State: 92:[63, 31, 124], Operations: ['87+37=124'] Exploring Operation: 63-31=32, Resulting Numbers: [124, 32] Generated Node #3: [124, 32] from Operation: 63-31=32 Current State: 92:[124, 32], Operations: ['87+37=124', '63-31=32'] Exploring Operation: 124-32=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 83, 87, 81, 88 ]
86
[ "83-81=2", "87*2=174", "174-88=86" ]
Current State: 86:[83, 87, 81, 88], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [87, 88, 2] Generated Node #2: [87, 88, 2] from Operation: 83-81=2 Current State: 86:[87, 88, 2], Operations: ['83-81=2'] Exploring Operation: 87*2=174, Resulting Numbers: [88, 174] Generated Node #3: [88, 174] from Operation: 87*2=174 Current State: 86:[88, 174], Operations: ['83-81=2', '87*2=174'] Exploring Operation: 174-88=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 98, 4, 56, 91 ]
56
[ "56-4=52", "98*52=5096", "5096/91=56" ]
Current State: 56:[98, 4, 56, 91], Operations: [] Exploring Operation: 56-4=52, Resulting Numbers: [98, 91, 52] Generated Node #2: [98, 91, 52] from Operation: 56-4=52 Current State: 56:[98, 91, 52], Operations: ['56-4=52'] Exploring Operation: 98*52=5096, Resulting Numbers: [91, 5096] Generated Node #3: [91, 5096] from Operation: 98*52=5096 Current State: 56:[91, 5096], Operations: ['56-4=52', '98*52=5096'] Exploring Operation: 5096/91=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 30, 84, 44, 20 ]
18
[ "30*44=1320", "1320/20=66", "84-66=18" ]
Current State: 18:[30, 84, 44, 20], Operations: [] Exploring Operation: 30*44=1320, Resulting Numbers: [84, 20, 1320] Generated Node #2: [84, 20, 1320] from Operation: 30*44=1320 Current State: 18:[84, 20, 1320], Operations: ['30*44=1320'] Exploring Operation: 1320/20=66, Resulting Numbers: [84, 66] Generated Node #3: [84, 66] from Operation: 1320/20=66 Current State: 18:[84, 66], Operations: ['30*44=1320', '1320/20=66'] Exploring Operation: 84-66=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 77, 12, 11, 22 ]
91
[ "77+12=89", "22/11=2", "89+2=91" ]
Current State: 91:[77, 12, 11, 22], Operations: [] Exploring Operation: 77+12=89, Resulting Numbers: [11, 22, 89] Generated Node #2: [11, 22, 89] from Operation: 77+12=89 Current State: 91:[11, 22, 89], Operations: ['77+12=89'] Exploring Operation: 22/11=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 22/11=2 Current State: 91:[89, 2], Operations: ['77+12=89', '22/11=2'] Exploring Operation: 89+2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 96, 46, 17, 14 ]
20
[ "46-14=32", "96/32=3", "17+3=20" ]
Current State: 20:[96, 46, 17, 14], Operations: [] Exploring Operation: 46-14=32, Resulting Numbers: [96, 17, 32] Generated Node #2: [96, 17, 32] from Operation: 46-14=32 Current State: 20:[96, 17, 32], Operations: ['46-14=32'] Exploring Operation: 96/32=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 96/32=3 Current State: 20:[17, 3], Operations: ['46-14=32', '96/32=3'] Exploring Operation: 17+3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 72, 9, 16, 15 ]
13
[ "72/9=8", "16/8=2", "15-2=13" ]
Current State: 13:[72, 9, 16, 15], Operations: [] Exploring Operation: 72/9=8, Resulting Numbers: [16, 15, 8] Generated Node #2: [16, 15, 8] from Operation: 72/9=8 Current State: 13:[16, 15, 8], Operations: ['72/9=8'] Exploring Operation: 16/8=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 16/8=2 Current State: 13:[15, 2], Operations: ['72/9=8', '16/8=2'] Exploring Operation: 15-2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 14, 31, 91, 6 ]
68
[ "31-14=17", "91-6=85", "85-17=68" ]
Current State: 68:[14, 31, 91, 6], Operations: [] Exploring Operation: 31-14=17, Resulting Numbers: [91, 6, 17] Generated Node #2: [91, 6, 17] from Operation: 31-14=17 Current State: 68:[91, 6, 17], Operations: ['31-14=17'] Exploring Operation: 91-6=85, Resulting Numbers: [17, 85] Generated Node #3: [17, 85] from Operation: 91-6=85 Current State: 68:[17, 85], Operations: ['31-14=17', '91-6=85'] Exploring Operation: 85-17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 10, 33, 71, 50 ]
22
[ "10+33=43", "71-50=21", "43-21=22" ]
Current State: 22:[10, 33, 71, 50], Operations: [] Exploring Operation: 10+33=43, Resulting Numbers: [71, 50, 43] Generated Node #2: [71, 50, 43] from Operation: 10+33=43 Current State: 22:[71, 50, 43], Operations: ['10+33=43'] Exploring Operation: 71-50=21, Resulting Numbers: [43, 21] Generated Node #3: [43, 21] from Operation: 71-50=21 Current State: 22:[43, 21], Operations: ['10+33=43', '71-50=21'] Exploring Operation: 43-21=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 65, 72, 20, 80 ]
78
[ "65*72=4680", "80-20=60", "4680/60=78" ]
Current State: 78:[65, 72, 20, 80], Operations: [] Exploring Operation: 65*72=4680, Resulting Numbers: [20, 80, 4680] Generated Node #2: [20, 80, 4680] from Operation: 65*72=4680 Current State: 78:[20, 80, 4680], Operations: ['65*72=4680'] Exploring Operation: 80-20=60, Resulting Numbers: [4680, 60] Generated Node #3: [4680, 60] from Operation: 80-20=60 Current State: 78:[4680, 60], Operations: ['65*72=4680', '80-20=60'] Exploring Operation: 4680/60=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 19, 54, 87, 81 ]
95
[ "19+54=73", "87+81=168", "168-73=95" ]
Current State: 95:[19, 54, 87, 81], Operations: [] Exploring Operation: 19+54=73, Resulting Numbers: [87, 81, 73] Generated Node #2: [87, 81, 73] from Operation: 19+54=73 Current State: 95:[87, 81, 73], Operations: ['19+54=73'] Exploring Operation: 87+81=168, Resulting Numbers: [73, 168] Generated Node #3: [73, 168] from Operation: 87+81=168 Current State: 95:[73, 168], Operations: ['19+54=73', '87+81=168'] Exploring Operation: 168-73=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 5, 2, 92, 89 ]
13
[ "5*2=10", "92-89=3", "10+3=13" ]
Current State: 13:[5, 2, 92, 89], Operations: [] Exploring Operation: 5*2=10, Resulting Numbers: [92, 89, 10] Generated Node #2: [92, 89, 10] from Operation: 5*2=10 Current State: 13:[92, 89, 10], Operations: ['5*2=10'] Exploring Operation: 92-89=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 92-89=3 Current State: 13:[10, 3], Operations: ['5*2=10', '92-89=3'] Exploring Operation: 10+3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 32, 9, 3, 3 ]
97
[ "32*9=288", "3+288=291", "291/3=97" ]
Current State: 97:[32, 9, 3, 3], Operations: [] Exploring Operation: 32*9=288, Resulting Numbers: [3, 3, 288] Generated Node #2: [3, 3, 288] from Operation: 32*9=288 Current State: 97:[3, 3, 288], Operations: ['32*9=288'] Exploring Operation: 3+288=291, Resulting Numbers: [291] 291,97 equal: Goal Reached Exploring Operation: 291/3=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 60, 36, 21, 1 ]
44
[ "60-36=24", "21-1=20", "24+20=44" ]
Current State: 44:[60, 36, 21, 1], Operations: [] Exploring Operation: 60-36=24, Resulting Numbers: [21, 1, 24] Generated Node #2: [21, 1, 24] from Operation: 60-36=24 Current State: 44:[21, 1, 24], Operations: ['60-36=24'] Exploring Operation: 21-1=20, Resulting Numbers: [24, 20] Generated Node #3: [24, 20] from Operation: 21-1=20 Current State: 44:[24, 20], Operations: ['60-36=24', '21-1=20'] Exploring Operation: 24+20=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 44, 70, 48, 5 ]
56
[ "48-44=4", "70/5=14", "4*14=56" ]
Current State: 56:[44, 70, 48, 5], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [70, 5, 4] Generated Node #2: [70, 5, 4] from Operation: 48-44=4 Current State: 56:[70, 5, 4], Operations: ['48-44=4'] Exploring Operation: 70/5=14, Resulting Numbers: [4, 14] Generated Node #3: [4, 14] from Operation: 70/5=14 Current State: 56:[4, 14], Operations: ['48-44=4', '70/5=14'] Exploring Operation: 4*14=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 15, 2, 83, 44 ]
78
[ "83-15=68", "68/2=34", "44+34=78" ]
Current State: 78:[15, 2, 83, 44], Operations: [] Exploring Operation: 83-15=68, Resulting Numbers: [2, 44, 68] Generated Node #2: [2, 44, 68] from Operation: 83-15=68 Current State: 78:[2, 44, 68], Operations: ['83-15=68'] Exploring Operation: 68/2=34, Resulting Numbers: [44, 34] Generated Node #3: [44, 34] from Operation: 68/2=34 Current State: 78:[44, 34], Operations: ['83-15=68', '68/2=34'] Exploring Operation: 44+34=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 5, 21, 25, 54 ]
15
[ "25/5=5", "21+54=75", "75/5=15" ]
Current State: 15:[5, 21, 25, 54], Operations: [] Exploring Operation: 25/5=5, Resulting Numbers: [21, 54, 5] Generated Node #2: [21, 54, 5] from Operation: 25/5=5 Current State: 15:[21, 54, 5], Operations: ['25/5=5'] Exploring Operation: 21+54=75, Resulting Numbers: [5, 75] Generated Node #3: [5, 75] from Operation: 21+54=75 Current State: 15:[5, 75], Operations: ['25/5=5', '21+54=75'] Exploring Operation: 75/5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 92, 4, 66, 45 ]
23
[ "92-4=88", "66+45=111", "111-88=23" ]
Current State: 23:[92, 4, 66, 45], Operations: [] Exploring Operation: 92-4=88, Resulting Numbers: [66, 45, 88] Generated Node #2: [66, 45, 88] from Operation: 92-4=88 Current State: 23:[66, 45, 88], Operations: ['92-4=88'] Exploring Operation: 66+45=111, Resulting Numbers: [88, 111] Generated Node #3: [88, 111] from Operation: 66+45=111 Current State: 23:[88, 111], Operations: ['92-4=88', '66+45=111'] Exploring Operation: 111-88=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 39, 86, 16, 20 ]
70
[ "20-16=4", "39*4=156", "156-86=70" ]
Current State: 70:[39, 86, 16, 20], Operations: [] Exploring Operation: 20-16=4, Resulting Numbers: [39, 86, 4] Generated Node #2: [39, 86, 4] from Operation: 20-16=4 Current State: 70:[39, 86, 4], Operations: ['20-16=4'] Exploring Operation: 39*4=156, Resulting Numbers: [86, 156] Generated Node #3: [86, 156] from Operation: 39*4=156 Current State: 70:[86, 156], Operations: ['20-16=4', '39*4=156'] Exploring Operation: 156-86=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 50, 28, 4, 25 ]
82
[ "50+25=75", "28/4=7", "75+7=82" ]
Current State: 82:[50, 28, 4, 25], Operations: [] Exploring Operation: 50+25=75, Resulting Numbers: [28, 4, 75] Generated Node #2: [28, 4, 75] from Operation: 50+25=75 Current State: 82:[28, 4, 75], Operations: ['50+25=75'] Exploring Operation: 28/4=7, Resulting Numbers: [75, 7] Generated Node #3: [75, 7] from Operation: 28/4=7 Current State: 82:[75, 7], Operations: ['50+25=75', '28/4=7'] Exploring Operation: 75+7=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 26, 10, 57, 3 ]
38
[ "26-10=16", "57-3=54", "54-16=38" ]
Current State: 38:[26, 10, 57, 3], Operations: [] Exploring Operation: 26-10=16, Resulting Numbers: [57, 3, 16] Generated Node #2: [57, 3, 16] from Operation: 26-10=16 Current State: 38:[57, 3, 16], Operations: ['26-10=16'] Exploring Operation: 57-3=54, Resulting Numbers: [16, 54] Generated Node #3: [16, 54] from Operation: 57-3=54 Current State: 38:[16, 54], Operations: ['26-10=16', '57-3=54'] Exploring Operation: 54-16=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 56, 62, 2, 43 ]
94
[ "62-43=19", "2*19=38", "56+38=94" ]
Current State: 94:[56, 62, 2, 43], Operations: [] Exploring Operation: 62-43=19, Resulting Numbers: [56, 2, 19] Generated Node #2: [56, 2, 19] from Operation: 62-43=19 Current State: 94:[56, 2, 19], Operations: ['62-43=19'] Exploring Operation: 2*19=38, Resulting Numbers: [56, 38] Generated Node #3: [56, 38] from Operation: 2*19=38 Current State: 94:[56, 38], Operations: ['62-43=19', '2*19=38'] Exploring Operation: 56+38=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 93, 11, 65, 38 ]
95
[ "11+65=76", "76/38=2", "93+2=95" ]
Current State: 95:[93, 11, 65, 38], Operations: [] Exploring Operation: 11+65=76, Resulting Numbers: [93, 38, 76] Generated Node #2: [93, 38, 76] from Operation: 11+65=76 Current State: 95:[93, 38, 76], Operations: ['11+65=76'] Exploring Operation: 76/38=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 76/38=2 Current State: 95:[93, 2], Operations: ['11+65=76', '76/38=2'] Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 98, 36, 73, 48 ]
87
[ "98-36=62", "73-48=25", "62+25=87" ]
Current State: 87:[98, 36, 73, 48], Operations: [] Exploring Operation: 98-36=62, Resulting Numbers: [73, 48, 62] Generated Node #2: [73, 48, 62] from Operation: 98-36=62 Current State: 87:[73, 48, 62], Operations: ['98-36=62'] Exploring Operation: 73-48=25, Resulting Numbers: [62, 25] Generated Node #3: [62, 25] from Operation: 73-48=25 Current State: 87:[62, 25], Operations: ['98-36=62', '73-48=25'] Exploring Operation: 62+25=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 24, 97, 37, 36 ]
90
[ "97-37=60", "36*60=2160", "2160/24=90" ]
Current State: 90:[24, 97, 37, 36], Operations: [] Exploring Operation: 97-37=60, Resulting Numbers: [24, 36, 60] Generated Node #2: [24, 36, 60] from Operation: 97-37=60 Current State: 90:[24, 36, 60], Operations: ['97-37=60'] Exploring Operation: 36*60=2160, Resulting Numbers: [24, 2160] Generated Node #3: [24, 2160] from Operation: 36*60=2160 Current State: 90:[24, 2160], Operations: ['97-37=60', '36*60=2160'] Exploring Operation: 2160/24=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 64, 59, 55, 43 ]
93
[ "64-59=5", "55+43=98", "98-5=93" ]
Current State: 93:[64, 59, 55, 43], Operations: [] Exploring Operation: 64-59=5, Resulting Numbers: [55, 43, 5] Generated Node #2: [55, 43, 5] from Operation: 64-59=5 Current State: 93:[55, 43, 5], Operations: ['64-59=5'] Exploring Operation: 55+43=98, Resulting Numbers: [5, 98] Generated Node #3: [5, 98] from Operation: 55+43=98 Current State: 93:[5, 98], Operations: ['64-59=5', '55+43=98'] Exploring Operation: 98-5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 78, 51, 47, 16 ]
14
[ "51-47=4", "16*4=64", "78-64=14" ]
Current State: 14:[78, 51, 47, 16], Operations: [] Exploring Operation: 51-47=4, Resulting Numbers: [78, 16, 4] Generated Node #2: [78, 16, 4] from Operation: 51-47=4 Current State: 14:[78, 16, 4], Operations: ['51-47=4'] Exploring Operation: 16*4=64, Resulting Numbers: [78, 64] Generated Node #3: [78, 64] from Operation: 16*4=64 Current State: 14:[78, 64], Operations: ['51-47=4', '16*4=64'] Exploring Operation: 78-64=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 67, 48, 76, 96 ]
95
[ "67+48=115", "96-76=20", "115-20=95" ]
Current State: 95:[67, 48, 76, 96], Operations: [] Exploring Operation: 67+48=115, Resulting Numbers: [76, 96, 115] Generated Node #2: [76, 96, 115] from Operation: 67+48=115 Current State: 95:[76, 96, 115], Operations: ['67+48=115'] Exploring Operation: 96-76=20, Resulting Numbers: [115, 20] Generated Node #3: [115, 20] from Operation: 96-76=20 Current State: 95:[115, 20], Operations: ['67+48=115', '96-76=20'] Exploring Operation: 115-20=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 73, 99, 88, 2 ]
82
[ "73+99=172", "88+2=90", "172-90=82" ]
Current State: 82:[73, 99, 88, 2], Operations: [] Exploring Operation: 73+99=172, Resulting Numbers: [88, 2, 172] Generated Node #2: [88, 2, 172] from Operation: 73+99=172 Current State: 82:[88, 2, 172], Operations: ['73+99=172'] Exploring Operation: 88+2=90, Resulting Numbers: [172, 90] Generated Node #3: [172, 90] from Operation: 88+2=90 Current State: 82:[172, 90], Operations: ['73+99=172', '88+2=90'] Exploring Operation: 172-90=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 15, 27, 9, 4 ]
33
[ "15+9=24", "24/4=6", "27+6=33" ]
Current State: 33:[15, 27, 9, 4], Operations: [] Exploring Operation: 15+9=24, Resulting Numbers: [27, 4, 24] Generated Node #2: [27, 4, 24] from Operation: 15+9=24 Current State: 33:[27, 4, 24], Operations: ['15+9=24'] Exploring Operation: 24/4=6, Resulting Numbers: [27, 6] Generated Node #3: [27, 6] from Operation: 24/4=6 Current State: 33:[27, 6], Operations: ['15+9=24', '24/4=6'] Exploring Operation: 27+6=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 79, 54, 22, 58 ]
97
[ "79+54=133", "58-22=36", "133-36=97" ]
Current State: 97:[79, 54, 22, 58], Operations: [] Exploring Operation: 79+54=133, Resulting Numbers: [22, 58, 133] Generated Node #2: [22, 58, 133] from Operation: 79+54=133 Current State: 97:[22, 58, 133], Operations: ['79+54=133'] Exploring Operation: 58-22=36, Resulting Numbers: [133, 36] Generated Node #3: [133, 36] from Operation: 58-22=36 Current State: 97:[133, 36], Operations: ['79+54=133', '58-22=36'] Exploring Operation: 133-36=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 77, 17, 49, 53 ]
42
[ "77-17=60", "49+53=102", "102-60=42" ]
Current State: 42:[77, 17, 49, 53], Operations: [] Exploring Operation: 77-17=60, Resulting Numbers: [49, 53, 60] Generated Node #2: [49, 53, 60] from Operation: 77-17=60 Current State: 42:[49, 53, 60], Operations: ['77-17=60'] Exploring Operation: 49+53=102, Resulting Numbers: [60, 102] Generated Node #3: [60, 102] from Operation: 49+53=102 Current State: 42:[60, 102], Operations: ['77-17=60', '49+53=102'] Exploring Operation: 102-60=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 81, 62, 27, 77 ]
69
[ "81-62=19", "77-27=50", "19+50=69" ]
Current State: 69:[81, 62, 27, 77], Operations: [] Exploring Operation: 81-62=19, Resulting Numbers: [27, 77, 19] Generated Node #2: [27, 77, 19] from Operation: 81-62=19 Current State: 69:[27, 77, 19], Operations: ['81-62=19'] Exploring Operation: 77-27=50, Resulting Numbers: [19, 50] Generated Node #3: [19, 50] from Operation: 77-27=50 Current State: 69:[19, 50], Operations: ['81-62=19', '77-27=50'] Exploring Operation: 19+50=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 56, 46, 25, 10 ]
24
[ "56-46=10", "10/10=1", "25-1=24" ]
Current State: 24:[56, 46, 25, 10], Operations: [] Exploring Operation: 56-46=10, Resulting Numbers: [25, 10, 10] Generated Node #2: [25, 10, 10] from Operation: 56-46=10 Current State: 24:[25, 10, 10], Operations: ['56-46=10'] Exploring Operation: 10/10=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 10/10=1 Current State: 24:[25, 1], Operations: ['56-46=10', '10/10=1'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 18, 28, 72, 20 ]
70
[ "28-18=10", "20/10=2", "72-2=70" ]
Current State: 70:[18, 28, 72, 20], Operations: [] Exploring Operation: 28-18=10, Resulting Numbers: [72, 20, 10] Generated Node #2: [72, 20, 10] from Operation: 28-18=10 Current State: 70:[72, 20, 10], Operations: ['28-18=10'] Exploring Operation: 20/10=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 20/10=2 Current State: 70:[72, 2], Operations: ['28-18=10', '20/10=2'] Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 38, 21, 22, 31 ]
68
[ "38+21=59", "31-22=9", "59+9=68" ]
Current State: 68:[38, 21, 22, 31], Operations: [] Exploring Operation: 38+21=59, Resulting Numbers: [22, 31, 59] Generated Node #2: [22, 31, 59] from Operation: 38+21=59 Current State: 68:[22, 31, 59], Operations: ['38+21=59'] Exploring Operation: 31-22=9, Resulting Numbers: [59, 9] Generated Node #3: [59, 9] from Operation: 31-22=9 Current State: 68:[59, 9], Operations: ['38+21=59', '31-22=9'] Exploring Operation: 59+9=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 93, 34, 87, 8 ]
68
[ "93-87=6", "8-6=2", "34*2=68" ]
Current State: 68:[93, 34, 87, 8], Operations: [] Exploring Operation: 93-87=6, Resulting Numbers: [34, 8, 6] Generated Node #2: [34, 8, 6] from Operation: 93-87=6 Current State: 68:[34, 8, 6], Operations: ['93-87=6'] Exploring Operation: 8-6=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 8-6=2 Current State: 68:[34, 2], Operations: ['93-87=6', '8-6=2'] Exploring Operation: 34*2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 1, 70, 96, 35 ]
94
[ "1*70=70", "70/35=2", "96-2=94" ]
Current State: 94:[1, 70, 96, 35], Operations: [] Exploring Operation: 1*70=70, Resulting Numbers: [96, 35, 70] Generated Node #2: [96, 35, 70] from Operation: 1*70=70 Current State: 94:[96, 35, 70], Operations: ['1*70=70'] Exploring Operation: 70/35=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 70/35=2 Current State: 94:[96, 2], Operations: ['1*70=70', '70/35=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 10, 51, 31, 88 ]
90
[ "51-31=20", "20/10=2", "88+2=90" ]
Current State: 90:[10, 51, 31, 88], Operations: [] Exploring Operation: 51-31=20, Resulting Numbers: [10, 88, 20] Generated Node #2: [10, 88, 20] from Operation: 51-31=20 Current State: 90:[10, 88, 20], Operations: ['51-31=20'] Exploring Operation: 20/10=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 20/10=2 Current State: 90:[88, 2], Operations: ['51-31=20', '20/10=2'] Exploring Operation: 88+2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 5, 84, 69, 10 ]
30
[ "5+84=89", "69-10=59", "89-59=30" ]
Current State: 30:[5, 84, 69, 10], Operations: [] Exploring Operation: 5+84=89, Resulting Numbers: [69, 10, 89] Generated Node #2: [69, 10, 89] from Operation: 5+84=89 Current State: 30:[69, 10, 89], Operations: ['5+84=89'] Exploring Operation: 69-10=59, Resulting Numbers: [89, 59] Generated Node #3: [89, 59] from Operation: 69-10=59 Current State: 30:[89, 59], Operations: ['5+84=89', '69-10=59'] Exploring Operation: 89-59=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 79, 79, 33, 77 ]
23
[ "79-33=46", "79-77=2", "46/2=23" ]
Current State: 23:[79, 79, 33, 77], Operations: [] Exploring Operation: 79-33=46, Resulting Numbers: [77, 46] Generated Node #2: [77, 46] from Operation: 79-33=46 Current State: 23:[77, 46], Operations: ['79-33=46'] Exploring Operation: 79-77=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 79-77=2 Current State: 23:[46, 2], Operations: ['79-33=46', '79-77=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 57, 16, 37, 11 ]
19
[ "57*16=912", "37+11=48", "912/48=19" ]
Current State: 19:[57, 16, 37, 11], Operations: [] Exploring Operation: 57*16=912, Resulting Numbers: [37, 11, 912] Generated Node #2: [37, 11, 912] from Operation: 57*16=912 Current State: 19:[37, 11, 912], Operations: ['57*16=912'] Exploring Operation: 37+11=48, Resulting Numbers: [912, 48] Generated Node #3: [912, 48] from Operation: 37+11=48 Current State: 19:[912, 48], Operations: ['57*16=912', '37+11=48'] Exploring Operation: 912/48=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 54, 71, 43, 17 ]
99
[ "54+71=125", "43-17=26", "125-26=99" ]
Current State: 99:[54, 71, 43, 17], Operations: [] Exploring Operation: 54+71=125, Resulting Numbers: [43, 17, 125] Generated Node #2: [43, 17, 125] from Operation: 54+71=125 Current State: 99:[43, 17, 125], Operations: ['54+71=125'] Exploring Operation: 43-17=26, Resulting Numbers: [125, 26] Generated Node #3: [125, 26] from Operation: 43-17=26 Current State: 99:[125, 26], Operations: ['54+71=125', '43-17=26'] Exploring Operation: 125-26=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 12, 1, 64, 3 ]
60
[ "12*1=12", "12/3=4", "64-4=60" ]
Current State: 60:[12, 1, 64, 3], Operations: [] Exploring Operation: 12*1=12, Resulting Numbers: [64, 3, 12] Generated Node #2: [64, 3, 12] from Operation: 12*1=12 Current State: 60:[64, 3, 12], Operations: ['12*1=12'] Exploring Operation: 12/3=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 12/3=4 Current State: 60:[64, 4], Operations: ['12*1=12', '12/3=4'] Exploring Operation: 64-4=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 44, 54, 64, 58 ]
27
[ "44+64=108", "58-54=4", "108/4=27" ]
Current State: 27:[44, 54, 64, 58], Operations: [] Exploring Operation: 44+64=108, Resulting Numbers: [54, 58, 108] Generated Node #2: [54, 58, 108] from Operation: 44+64=108 Current State: 27:[54, 58, 108], Operations: ['44+64=108'] Exploring Operation: 58-54=4, Resulting Numbers: [108, 4] Generated Node #3: [108, 4] from Operation: 58-54=4 Current State: 27:[108, 4], Operations: ['44+64=108', '58-54=4'] Exploring Operation: 108/4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 98, 85, 29, 64 ]
48
[ "98-85=13", "64-29=35", "13+35=48" ]
Current State: 48:[98, 85, 29, 64], Operations: [] Exploring Operation: 98-85=13, Resulting Numbers: [29, 64, 13] Generated Node #2: [29, 64, 13] from Operation: 98-85=13 Current State: 48:[29, 64, 13], Operations: ['98-85=13'] Exploring Operation: 64-29=35, Resulting Numbers: [13, 35] Generated Node #3: [13, 35] from Operation: 64-29=35 Current State: 48:[13, 35], Operations: ['98-85=13', '64-29=35'] Exploring Operation: 13+35=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 72, 10, 57, 2 ]
83
[ "72/2=36", "57-10=47", "36+47=83" ]
Current State: 83:[72, 10, 57, 2], Operations: [] Exploring Operation: 72/2=36, Resulting Numbers: [10, 57, 36] Generated Node #2: [10, 57, 36] from Operation: 72/2=36 Current State: 83:[10, 57, 36], Operations: ['72/2=36'] Exploring Operation: 57-10=47, Resulting Numbers: [36, 47] Generated Node #3: [36, 47] from Operation: 57-10=47 Current State: 83:[36, 47], Operations: ['72/2=36', '57-10=47'] Exploring Operation: 36+47=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 77, 78, 75, 91 ]
65
[ "77-75=2", "78*2=156", "156-91=65" ]
Current State: 65:[77, 78, 75, 91], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [78, 91, 2] Generated Node #2: [78, 91, 2] from Operation: 77-75=2 Current State: 65:[78, 91, 2], Operations: ['77-75=2'] Exploring Operation: 78*2=156, Resulting Numbers: [91, 156] Generated Node #3: [91, 156] from Operation: 78*2=156 Current State: 65:[91, 156], Operations: ['77-75=2', '78*2=156'] Exploring Operation: 156-91=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 25, 39, 7, 30 ]
68
[ "39-25=14", "7*14=98", "98-30=68" ]
Current State: 68:[25, 39, 7, 30], Operations: [] Exploring Operation: 39-25=14, Resulting Numbers: [7, 30, 14] Generated Node #2: [7, 30, 14] from Operation: 39-25=14 Current State: 68:[7, 30, 14], Operations: ['39-25=14'] Exploring Operation: 7*14=98, Resulting Numbers: [30, 98] Generated Node #3: [30, 98] from Operation: 7*14=98 Current State: 68:[30, 98], Operations: ['39-25=14', '7*14=98'] Exploring Operation: 98-30=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 15, 80, 93, 42 ]
70
[ "80-15=65", "93+42=135", "135-65=70" ]
Current State: 70:[15, 80, 93, 42], Operations: [] Exploring Operation: 80-15=65, Resulting Numbers: [93, 42, 65] Generated Node #2: [93, 42, 65] from Operation: 80-15=65 Current State: 70:[93, 42, 65], Operations: ['80-15=65'] Exploring Operation: 93+42=135, Resulting Numbers: [65, 135] Generated Node #3: [65, 135] from Operation: 93+42=135 Current State: 70:[65, 135], Operations: ['80-15=65', '93+42=135'] Exploring Operation: 135-65=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 1, 62, 21, 44 ]
47
[ "1+62=63", "63/21=3", "44+3=47" ]
Current State: 47:[1, 62, 21, 44], Operations: [] Exploring Operation: 1+62=63, Resulting Numbers: [21, 44, 63] Generated Node #2: [21, 44, 63] from Operation: 1+62=63 Current State: 47:[21, 44, 63], Operations: ['1+62=63'] Exploring Operation: 63/21=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 63/21=3 Current State: 47:[44, 3], Operations: ['1+62=63', '63/21=3'] Exploring Operation: 44+3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 38, 23, 50, 90 ]
46
[ "38+50=88", "90-88=2", "23*2=46" ]
Current State: 46:[38, 23, 50, 90], Operations: [] Exploring Operation: 38+50=88, Resulting Numbers: [23, 90, 88] Generated Node #2: [23, 90, 88] from Operation: 38+50=88 Current State: 46:[23, 90, 88], Operations: ['38+50=88'] Exploring Operation: 90-88=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 90-88=2 Current State: 46:[23, 2], Operations: ['38+50=88', '90-88=2'] Exploring Operation: 23*2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 57, 3, 75, 78 ]
99
[ "57-3=54", "75+78=153", "153-54=99" ]
Current State: 99:[57, 3, 75, 78], Operations: [] Exploring Operation: 57-3=54, Resulting Numbers: [75, 78, 54] Generated Node #2: [75, 78, 54] from Operation: 57-3=54 Current State: 99:[75, 78, 54], Operations: ['57-3=54'] Exploring Operation: 75+78=153, Resulting Numbers: [54, 153] Generated Node #3: [54, 153] from Operation: 75+78=153 Current State: 99:[54, 153], Operations: ['57-3=54', '75+78=153'] Exploring Operation: 153-54=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 74, 35, 92, 59 ]
72
[ "74-35=39", "92-59=33", "39+33=72" ]
Current State: 72:[74, 35, 92, 59], Operations: [] Exploring Operation: 74-35=39, Resulting Numbers: [92, 59, 39] Generated Node #2: [92, 59, 39] from Operation: 74-35=39 Current State: 72:[92, 59, 39], Operations: ['74-35=39'] Exploring Operation: 92-59=33, Resulting Numbers: [39, 33] Generated Node #3: [39, 33] from Operation: 92-59=33 Current State: 72:[39, 33], Operations: ['74-35=39', '92-59=33'] Exploring Operation: 39+33=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 8, 52, 82, 22 ]
64
[ "82-52=30", "30-22=8", "8*8=64" ]
Current State: 64:[8, 52, 82, 22], Operations: [] Exploring Operation: 82-52=30, Resulting Numbers: [8, 22, 30] Generated Node #2: [8, 22, 30] from Operation: 82-52=30 Current State: 64:[8, 22, 30], Operations: ['82-52=30'] Exploring Operation: 30-22=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 30-22=8 Current State: 64:[8, 8], Operations: ['82-52=30', '30-22=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 73, 71, 2, 6 ]
36
[ "73+71=144", "6-2=4", "144/4=36" ]
Current State: 36:[73, 71, 2, 6], Operations: [] Exploring Operation: 73+71=144, Resulting Numbers: [2, 6, 144] Generated Node #2: [2, 6, 144] from Operation: 73+71=144 Current State: 36:[2, 6, 144], Operations: ['73+71=144'] Exploring Operation: 6-2=4, Resulting Numbers: [144, 4] Generated Node #3: [144, 4] from Operation: 6-2=4 Current State: 36:[144, 4], Operations: ['73+71=144', '6-2=4'] Exploring Operation: 144/4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 70, 60, 12, 36 ]
35
[ "70*12=840", "60-36=24", "840/24=35" ]
Current State: 35:[70, 60, 12, 36], Operations: [] Exploring Operation: 70*12=840, Resulting Numbers: [60, 36, 840] Generated Node #2: [60, 36, 840] from Operation: 70*12=840 Current State: 35:[60, 36, 840], Operations: ['70*12=840'] Exploring Operation: 60-36=24, Resulting Numbers: [840, 24] Generated Node #3: [840, 24] from Operation: 60-36=24 Current State: 35:[840, 24], Operations: ['70*12=840', '60-36=24'] Exploring Operation: 840/24=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 70, 34, 52, 71 ]
19
[ "70+34=104", "52+71=123", "123-104=19" ]
Current State: 19:[70, 34, 52, 71], Operations: [] Exploring Operation: 70+34=104, Resulting Numbers: [52, 71, 104] Generated Node #2: [52, 71, 104] from Operation: 70+34=104 Current State: 19:[52, 71, 104], Operations: ['70+34=104'] Exploring Operation: 52+71=123, Resulting Numbers: [104, 123] Generated Node #3: [104, 123] from Operation: 52+71=123 Current State: 19:[104, 123], Operations: ['70+34=104', '52+71=123'] Exploring Operation: 123-104=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 57, 12, 9, 19 ]
45
[ "57*12=684", "684/19=36", "9+36=45" ]
Current State: 45:[57, 12, 9, 19], Operations: [] Exploring Operation: 57*12=684, Resulting Numbers: [9, 19, 684] Generated Node #2: [9, 19, 684] from Operation: 57*12=684 Current State: 45:[9, 19, 684], Operations: ['57*12=684'] Exploring Operation: 684/19=36, Resulting Numbers: [9, 36] Generated Node #3: [9, 36] from Operation: 684/19=36 Current State: 45:[9, 36], Operations: ['57*12=684', '684/19=36'] Exploring Operation: 9+36=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 55, 1, 3, 63 ]
47
[ "3-1=2", "55*2=110", "110-63=47" ]
Current State: 47:[55, 1, 3, 63], Operations: [] Exploring Operation: 3-1=2, Resulting Numbers: [55, 63, 2] Generated Node #2: [55, 63, 2] from Operation: 3-1=2 Current State: 47:[55, 63, 2], Operations: ['3-1=2'] Exploring Operation: 55*2=110, Resulting Numbers: [63, 110] Generated Node #3: [63, 110] from Operation: 55*2=110 Current State: 47:[63, 110], Operations: ['3-1=2', '55*2=110'] Exploring Operation: 110-63=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 59, 10, 74, 74 ]
48
[ "59-10=49", "74/74=1", "49-1=48" ]
Current State: 48:[59, 10, 74, 74], Operations: [] Exploring Operation: 59-10=49, Resulting Numbers: [74, 74, 49] Generated Node #2: [74, 74, 49] from Operation: 59-10=49 Current State: 48:[74, 74, 49], Operations: ['59-10=49'] Exploring Operation: 74/74=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 74/74=1 Current State: 48:[49, 1], Operations: ['59-10=49', '74/74=1'] Exploring Operation: 49-1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 26, 38, 33, 64 ]
14
[ "26*33=858", "38+858=896", "896/64=14" ]
Current State: 14:[26, 38, 33, 64], Operations: [] Exploring Operation: 26*33=858, Resulting Numbers: [38, 64, 858] Generated Node #2: [38, 64, 858] from Operation: 26*33=858 Current State: 14:[38, 64, 858], Operations: ['26*33=858'] Exploring Operation: 38+858=896, Resulting Numbers: [64, 896] Generated Node #3: [64, 896] from Operation: 38+858=896 Current State: 14:[64, 896], Operations: ['26*33=858', '38+858=896'] Exploring Operation: 896/64=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 31, 20, 84, 13 ]
82
[ "31-20=11", "84-13=71", "11+71=82" ]
Current State: 82:[31, 20, 84, 13], Operations: [] Exploring Operation: 31-20=11, Resulting Numbers: [84, 13, 11] Generated Node #2: [84, 13, 11] from Operation: 31-20=11 Current State: 82:[84, 13, 11], Operations: ['31-20=11'] Exploring Operation: 84-13=71, Resulting Numbers: [11, 71] Generated Node #3: [11, 71] from Operation: 84-13=71 Current State: 82:[11, 71], Operations: ['31-20=11', '84-13=71'] Exploring Operation: 11+71=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 20, 87, 23, 27 ]
20
[ "23-20=3", "87-27=60", "60/3=20" ]
Current State: 20:[20, 87, 23, 27], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [87, 27, 3] Generated Node #2: [87, 27, 3] from Operation: 23-20=3 Current State: 20:[87, 27, 3], Operations: ['23-20=3'] Exploring Operation: 87-27=60, Resulting Numbers: [3, 60] Generated Node #3: [3, 60] from Operation: 87-27=60 Current State: 20:[3, 60], Operations: ['23-20=3', '87-27=60'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 56, 51, 45, 30 ]
50
[ "56*45=2520", "30+2520=2550", "2550/51=50" ]
Current State: 50:[56, 51, 45, 30], Operations: [] Exploring Operation: 56*45=2520, Resulting Numbers: [51, 30, 2520] Generated Node #2: [51, 30, 2520] from Operation: 56*45=2520 Current State: 50:[51, 30, 2520], Operations: ['56*45=2520'] Exploring Operation: 30+2520=2550, Resulting Numbers: [51, 2550] Generated Node #3: [51, 2550] from Operation: 30+2520=2550 Current State: 50:[51, 2550], Operations: ['56*45=2520', '30+2520=2550'] Exploring Operation: 2550/51=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 19, 11, 46, 9 ]
63
[ "19-11=8", "46+9=55", "8+55=63" ]
Current State: 63:[19, 11, 46, 9], Operations: [] Exploring Operation: 19-11=8, Resulting Numbers: [46, 9, 8] Generated Node #2: [46, 9, 8] from Operation: 19-11=8 Current State: 63:[46, 9, 8], Operations: ['19-11=8'] Exploring Operation: 46+9=55, Resulting Numbers: [8, 55] Generated Node #3: [8, 55] from Operation: 46+9=55 Current State: 63:[8, 55], Operations: ['19-11=8', '46+9=55'] Exploring Operation: 8+55=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 10, 68, 73, 79 ]
64
[ "68-10=58", "79-73=6", "58+6=64" ]
Current State: 64:[10, 68, 73, 79], Operations: [] Exploring Operation: 68-10=58, Resulting Numbers: [73, 79, 58] Generated Node #2: [73, 79, 58] from Operation: 68-10=58 Current State: 64:[73, 79, 58], Operations: ['68-10=58'] Exploring Operation: 79-73=6, Resulting Numbers: [58, 6] Generated Node #3: [58, 6] from Operation: 79-73=6 Current State: 64:[58, 6], Operations: ['68-10=58', '79-73=6'] Exploring Operation: 58+6=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 95, 86, 61, 28 ]
24
[ "95-86=9", "61-28=33", "33-9=24" ]
Current State: 24:[95, 86, 61, 28], Operations: [] Exploring Operation: 95-86=9, Resulting Numbers: [61, 28, 9] Generated Node #2: [61, 28, 9] from Operation: 95-86=9 Current State: 24:[61, 28, 9], Operations: ['95-86=9'] Exploring Operation: 61-28=33, Resulting Numbers: [9, 33] Generated Node #3: [9, 33] from Operation: 61-28=33 Current State: 24:[9, 33], Operations: ['95-86=9', '61-28=33'] Exploring Operation: 33-9=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 12, 91, 40, 64 ]
25
[ "91-12=79", "40+64=104", "104-79=25" ]
Current State: 25:[12, 91, 40, 64], Operations: [] Exploring Operation: 91-12=79, Resulting Numbers: [40, 64, 79] Generated Node #2: [40, 64, 79] from Operation: 91-12=79 Current State: 25:[40, 64, 79], Operations: ['91-12=79'] Exploring Operation: 40+64=104, Resulting Numbers: [79, 104] Generated Node #3: [79, 104] from Operation: 40+64=104 Current State: 25:[79, 104], Operations: ['91-12=79', '40+64=104'] Exploring Operation: 104-79=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 99, 20, 13, 34 ]
37
[ "20+13=33", "99/33=3", "34+3=37" ]
Current State: 37:[99, 20, 13, 34], Operations: [] Exploring Operation: 20+13=33, Resulting Numbers: [99, 34, 33] Generated Node #2: [99, 34, 33] from Operation: 20+13=33 Current State: 37:[99, 34, 33], Operations: ['20+13=33'] Exploring Operation: 99/33=3, Resulting Numbers: [34, 3] Generated Node #3: [34, 3] from Operation: 99/33=3 Current State: 37:[34, 3], Operations: ['20+13=33', '99/33=3'] Exploring Operation: 34+3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 27, 24, 14, 66 ]
77
[ "27-24=3", "14+66=80", "80-3=77" ]
Current State: 77:[27, 24, 14, 66], Operations: [] Exploring Operation: 27-24=3, Resulting Numbers: [14, 66, 3] Generated Node #2: [14, 66, 3] from Operation: 27-24=3 Current State: 77:[14, 66, 3], Operations: ['27-24=3'] Exploring Operation: 14+66=80, Resulting Numbers: [3, 80] Generated Node #3: [3, 80] from Operation: 14+66=80 Current State: 77:[3, 80], Operations: ['27-24=3', '14+66=80'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 54, 88, 5, 2 ]
85
[ "88-54=34", "5*34=170", "170/2=85" ]
Current State: 85:[54, 88, 5, 2], Operations: [] Exploring Operation: 88-54=34, Resulting Numbers: [5, 2, 34] Generated Node #2: [5, 2, 34] from Operation: 88-54=34 Current State: 85:[5, 2, 34], Operations: ['88-54=34'] Exploring Operation: 5*34=170, Resulting Numbers: [2, 170] Generated Node #3: [2, 170] from Operation: 5*34=170 Current State: 85:[2, 170], Operations: ['88-54=34', '5*34=170'] Exploring Operation: 170/2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 96, 62, 6, 2 ]
15
[ "96/6=16", "62/2=31", "31-16=15" ]
Current State: 15:[96, 62, 6, 2], Operations: [] Exploring Operation: 96/6=16, Resulting Numbers: [62, 2, 16] Generated Node #2: [62, 2, 16] from Operation: 96/6=16 Current State: 15:[62, 2, 16], Operations: ['96/6=16'] Exploring Operation: 62/2=31, Resulting Numbers: [16, 31] Generated Node #3: [16, 31] from Operation: 62/2=31 Current State: 15:[16, 31], Operations: ['96/6=16', '62/2=31'] Exploring Operation: 31-16=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 11, 54, 1, 31 ]
73
[ "54-11=43", "31-1=30", "43+30=73" ]
Current State: 73:[11, 54, 1, 31], Operations: [] Exploring Operation: 54-11=43, Resulting Numbers: [1, 31, 43] Generated Node #2: [1, 31, 43] from Operation: 54-11=43 Current State: 73:[1, 31, 43], Operations: ['54-11=43'] Exploring Operation: 31-1=30, Resulting Numbers: [43, 30] Generated Node #3: [43, 30] from Operation: 31-1=30 Current State: 73:[43, 30], Operations: ['54-11=43', '31-1=30'] Exploring Operation: 43+30=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 83, 94, 9, 29 ]
49
[ "94-83=11", "9+29=38", "11+38=49" ]
Current State: 49:[83, 94, 9, 29], Operations: [] Exploring Operation: 94-83=11, Resulting Numbers: [9, 29, 11] Generated Node #2: [9, 29, 11] from Operation: 94-83=11 Current State: 49:[9, 29, 11], Operations: ['94-83=11'] Exploring Operation: 9+29=38, Resulting Numbers: [11, 38] Generated Node #3: [11, 38] from Operation: 9+29=38 Current State: 49:[11, 38], Operations: ['94-83=11', '9+29=38'] Exploring Operation: 11+38=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 59, 54, 25, 32 ]
23
[ "59-32=27", "54/27=2", "25-2=23" ]
Current State: 23:[59, 54, 25, 32], Operations: [] Exploring Operation: 59-32=27, Resulting Numbers: [54, 25, 27] Generated Node #2: [54, 25, 27] from Operation: 59-32=27 Current State: 23:[54, 25, 27], Operations: ['59-32=27'] Exploring Operation: 54/27=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 54/27=2 Current State: 23:[25, 2], Operations: ['59-32=27', '54/27=2'] Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 81, 5, 34, 27 ]
49
[ "81*5=405", "405/27=15", "34+15=49" ]
Current State: 49:[81, 5, 34, 27], Operations: [] Exploring Operation: 81*5=405, Resulting Numbers: [34, 27, 405] Generated Node #2: [34, 27, 405] from Operation: 81*5=405 Current State: 49:[34, 27, 405], Operations: ['81*5=405'] Exploring Operation: 405/27=15, Resulting Numbers: [34, 15] Generated Node #3: [34, 15] from Operation: 405/27=15 Current State: 49:[34, 15], Operations: ['81*5=405', '405/27=15'] Exploring Operation: 34+15=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 1, 78, 58, 55 ]
76
[ "1+78=79", "58-55=3", "79-3=76" ]
Current State: 76:[1, 78, 58, 55], Operations: [] Exploring Operation: 1+78=79, Resulting Numbers: [58, 55, 79] Generated Node #2: [58, 55, 79] from Operation: 1+78=79 Current State: 76:[58, 55, 79], Operations: ['1+78=79'] Exploring Operation: 58-55=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 58-55=3 Current State: 76:[79, 3], Operations: ['1+78=79', '58-55=3'] Exploring Operation: 79-3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 12, 16, 4, 41 ]
17
[ "12+16=28", "4+41=45", "45-28=17" ]
Current State: 17:[12, 16, 4, 41], Operations: [] Exploring Operation: 12+16=28, Resulting Numbers: [4, 41, 28] Generated Node #2: [4, 41, 28] from Operation: 12+16=28 Current State: 17:[4, 41, 28], Operations: ['12+16=28'] Exploring Operation: 4+41=45, Resulting Numbers: [28, 45] Generated Node #3: [28, 45] from Operation: 4+41=45 Current State: 17:[28, 45], Operations: ['12+16=28', '4+41=45'] Exploring Operation: 45-28=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 8, 23, 75, 23 ]
71
[ "8*75=600", "23*23=529", "600-529=71" ]
Current State: 71:[8, 23, 75, 23], Operations: [] Exploring Operation: 8*75=600, Resulting Numbers: [23, 23, 600] Generated Node #2: [23, 23, 600] from Operation: 8*75=600 Current State: 71:[23, 23, 600], Operations: ['8*75=600'] Exploring Operation: 23*23=529, Resulting Numbers: [600, 529] Generated Node #3: [600, 529] from Operation: 23*23=529 Current State: 71:[600, 529], Operations: ['8*75=600', '23*23=529'] Exploring Operation: 600-529=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 30, 10, 29, 56 ]
81
[ "30/10=3", "56-29=27", "3*27=81" ]
Current State: 81:[30, 10, 29, 56], Operations: [] Exploring Operation: 30/10=3, Resulting Numbers: [29, 56, 3] Generated Node #2: [29, 56, 3] from Operation: 30/10=3 Current State: 81:[29, 56, 3], Operations: ['30/10=3'] Exploring Operation: 56-29=27, Resulting Numbers: [3, 27] Generated Node #3: [3, 27] from Operation: 56-29=27 Current State: 81:[3, 27], Operations: ['30/10=3', '56-29=27'] Exploring Operation: 3*27=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 40, 41, 43, 27 ]
69
[ "41-40=1", "43+27=70", "70-1=69" ]
Current State: 69:[40, 41, 43, 27], Operations: [] Exploring Operation: 41-40=1, Resulting Numbers: [43, 27, 1] Generated Node #2: [43, 27, 1] from Operation: 41-40=1 Current State: 69:[43, 27, 1], Operations: ['41-40=1'] Exploring Operation: 43+27=70, Resulting Numbers: [1, 70] Generated Node #3: [1, 70] from Operation: 43+27=70 Current State: 69:[1, 70], Operations: ['41-40=1', '43+27=70'] Exploring Operation: 70-1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 80, 17, 27, 4 ]
10
[ "80/4=20", "27-17=10", "20-10=10" ]
Current State: 10:[80, 17, 27, 4], Operations: [] Exploring Operation: 80/4=20, Resulting Numbers: [17, 27, 20] Generated Node #2: [17, 27, 20] from Operation: 80/4=20 Current State: 10:[17, 27, 20], Operations: ['80/4=20'] Exploring Operation: 27-17=10, Resulting Numbers: [20, 10] Generated Node #3: [20, 10] from Operation: 27-17=10 Current State: 10:[20, 10], Operations: ['80/4=20', '27-17=10'] Exploring Operation: 20-10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 66, 94, 14, 3 ]
100
[ "14-3=11", "66/11=6", "94+6=100" ]
Current State: 100:[66, 94, 14, 3], Operations: [] Exploring Operation: 14-3=11, Resulting Numbers: [66, 94, 11] Generated Node #2: [66, 94, 11] from Operation: 14-3=11 Current State: 100:[66, 94, 11], Operations: ['14-3=11'] Exploring Operation: 66/11=6, Resulting Numbers: [94, 6] Generated Node #3: [94, 6] from Operation: 66/11=6 Current State: 100:[94, 6], Operations: ['14-3=11', '66/11=6'] Exploring Operation: 94+6=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 70, 24, 47, 27 ]
84
[ "70*24=1680", "47-27=20", "1680/20=84" ]
Current State: 84:[70, 24, 47, 27], Operations: [] Exploring Operation: 70*24=1680, Resulting Numbers: [47, 27, 1680] Generated Node #2: [47, 27, 1680] from Operation: 70*24=1680 Current State: 84:[47, 27, 1680], Operations: ['70*24=1680'] Exploring Operation: 47-27=20, Resulting Numbers: [1680, 20] Generated Node #3: [1680, 20] from Operation: 47-27=20 Current State: 84:[1680, 20], Operations: ['70*24=1680', '47-27=20'] Exploring Operation: 1680/20=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 19, 91, 33, 26 ]
20
[ "26-19=7", "91/7=13", "33-13=20" ]
Current State: 20:[19, 91, 33, 26], Operations: [] Exploring Operation: 26-19=7, Resulting Numbers: [91, 33, 7] Generated Node #2: [91, 33, 7] from Operation: 26-19=7 Current State: 20:[91, 33, 7], Operations: ['26-19=7'] Exploring Operation: 91/7=13, Resulting Numbers: [33, 13] Generated Node #3: [33, 13] from Operation: 91/7=13 Current State: 20:[33, 13], Operations: ['26-19=7', '91/7=13'] Exploring Operation: 33-13=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 42, 63, 60, 93 ]
21
[ "93-63=30", "42*30=1260", "1260/60=21" ]
Current State: 21:[42, 63, 60, 93], Operations: [] Exploring Operation: 93-63=30, Resulting Numbers: [42, 60, 30] Generated Node #2: [42, 60, 30] from Operation: 93-63=30 Current State: 21:[42, 60, 30], Operations: ['93-63=30'] Exploring Operation: 42*30=1260, Resulting Numbers: [60, 1260] Generated Node #3: [60, 1260] from Operation: 42*30=1260 Current State: 21:[60, 1260], Operations: ['93-63=30', '42*30=1260'] Exploring Operation: 1260/60=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 95, 34, 48, 93 ]
65
[ "95-93=2", "34/2=17", "48+17=65" ]
Current State: 65:[95, 34, 48, 93], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [34, 48, 2] Generated Node #2: [34, 48, 2] from Operation: 95-93=2 Current State: 65:[34, 48, 2], Operations: ['95-93=2'] Exploring Operation: 34/2=17, Resulting Numbers: [48, 17] Generated Node #3: [48, 17] from Operation: 34/2=17 Current State: 65:[48, 17], Operations: ['95-93=2', '34/2=17'] Exploring Operation: 48+17=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 92, 45, 89, 96 ]
17
[ "92-89=3", "96-45=51", "51/3=17" ]
Current State: 17:[92, 45, 89, 96], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [45, 96, 3] Generated Node #2: [45, 96, 3] from Operation: 92-89=3 Current State: 17:[45, 96, 3], Operations: ['92-89=3'] Exploring Operation: 96-45=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 96-45=51 Current State: 17:[3, 51], Operations: ['92-89=3', '96-45=51'] Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 36, 83, 81, 80 ]
39
[ "36+81=117", "83-80=3", "117/3=39" ]
Current State: 39:[36, 83, 81, 80], Operations: [] Exploring Operation: 36+81=117, Resulting Numbers: [83, 80, 117] Generated Node #2: [83, 80, 117] from Operation: 36+81=117 Current State: 39:[83, 80, 117], Operations: ['36+81=117'] Exploring Operation: 83-80=3, Resulting Numbers: [117, 3] Generated Node #3: [117, 3] from Operation: 83-80=3 Current State: 39:[117, 3], Operations: ['36+81=117', '83-80=3'] Exploring Operation: 117/3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 41, 35, 5, 92 ]
11
[ "41+35=76", "92-5=87", "87-76=11" ]
Current State: 11:[41, 35, 5, 92], Operations: [] Exploring Operation: 41+35=76, Resulting Numbers: [5, 92, 76] Generated Node #2: [5, 92, 76] from Operation: 41+35=76 Current State: 11:[5, 92, 76], Operations: ['41+35=76'] Exploring Operation: 92-5=87, Resulting Numbers: [76, 87] Generated Node #3: [76, 87] from Operation: 92-5=87 Current State: 11:[76, 87], Operations: ['41+35=76', '92-5=87'] Exploring Operation: 87-76=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 39, 28, 22, 59 ]
14
[ "39+28=67", "22+59=81", "81-67=14" ]
Current State: 14:[39, 28, 22, 59], Operations: [] Exploring Operation: 39+28=67, Resulting Numbers: [22, 59, 67] Generated Node #2: [22, 59, 67] from Operation: 39+28=67 Current State: 14:[22, 59, 67], Operations: ['39+28=67'] Exploring Operation: 22+59=81, Resulting Numbers: [67, 81] Generated Node #3: [67, 81] from Operation: 22+59=81 Current State: 14:[67, 81], Operations: ['39+28=67', '22+59=81'] Exploring Operation: 81-67=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4